PLEASE HELP I WILL GIVE BRAINLIEST I REALLY NEED IT
Given: ABCD is a trapezoid,
AD=10, BC=8,
CK- altitude of triangle ACD =30
Find: the area of ABCD

PLEASE HELP I WILL GIVE BRAINLIEST I REALLY NEED ITGiven: ABCD Is A Trapezoid,AD=10, BC=8,CK- Altitude

Answers

Answer 1

To find the area of the trapezoid we need to find the height of the trapezoid.

Trapezoid

A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

Area of Trapezoid

The area of a trapezoid is given as half of the product of the height(altitude) of the trapezoid and the sum of the length of the parallel sides.

\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of the\ parallel\ Sides)

The area of the trapezoid is 54 units².

Given to us :

ABCD is a trapezoid

AD=10, BC = 8,

CK is the altitude altitude

Area of ∆ACD = 30

Area of ∆ACD,

In ∆ACD,

\begin{gathered}\rm { Area\ \triangle ACD = \dfrac{1}{2}\times base\times height\\\\\ \end{gathered}

Substituting the values,

30 = 1/2 * AD × CK

30 = 1/2 * 10 × CK

(30 * 2)/10 = CK

CK = 6 units

Area of Trapezoid ABCD

\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of\ the\ parallell Sides)

Area ABCD = \( \frac{1}{2} \times ck \times (ad + bc)\)

Area ABCD = \( \frac{1}{2} \times 6 \times (10 + 8)\)

Area ABCD = \( \frac{1}{2} \times 6 \times (18)\)

Area ABCD = 54 units²

Hence, the area of the trapezoid is 54 units².


Related Questions

what is the process of displaying large quantities of data in a meaningful way called?

Answers

The process of displaying the large quantities of data in a meaningful way is called Data Visualization .

The Data Visulalization involves presenting data in a graphical or pictorial format to help people understand and analyze the data more easily.

The goal of data visualization is to make complex data sets more accessible, understandable, and actionable by presenting them in a clear and visually appealing way.

The Common types of data visualization include bar charts, line graphs, scatter plots, heat maps, and infographics, among others.

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Help! My teacher never taught me this and gave it to me for what ever reason. Questions 6-11.​ (Middle school)

Help! My teacher never taught me this and gave it to me for what ever reason. Questions 6-11. (Middle

Answers

Answer:

6. 12cm

7. 11.2 cm

8. 92 degrees

9. 53 degrees

10. 37.5 cm

11. $ 693.12

Step-by-step explanation:

For questions 6-9 the triangle is congurent which means both their angles will be equal.

For the sides you can see that the second triangle is 1.5 times smaller than the first one as taking one of the sides 21/14= 1.5

So for Q. 6 we can multiply side PQ by 1.5.

For Q.7 divide CA by 1.5.

For Q. 10 we can do cross multiplication:

5/4 = x/30

= 150= 4x

= 37.5=x

For Q 11 we can see the size of the paper is 1.9 times bigger than the original one (38/20)

So the shorter side is 30.4 cm.

Then we have to find the area of the paper to multiply the two dimensions and we get 1155.2 square inches.

Then to figure out the money we multiply again and we get $693.12.

The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square?

Answers

The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square?

Answer · 1 vote

Perimeter of the square80-64yA square has 4 sides, so divide the perimeter by 4:(80-64y) / 480 divided by 4 is 2064y divided by 4 is 16yOne side of the ..

Answer:

Its C

Step-by-step explanation:

took the test

Points A, R and G are points of tangency. Find the perimeter of ∆NET below.

Points A, R and G are points of tangency. Find the perimeter of NET below.

Answers

Answer:

\(\small\mathfrak\red{here \: is \: your \: solution..} \\ \\ we \: know \: that \: tangent \\ from \: a \: same point \: are \: equal \\ \\ tr = 9 | an = 7 | eg = 5 \\ \\ tr = ta | an = gn | eg = re \\ \\ ta = 9 | gn =7 | re = 5 \\ \\ hence \: perimeter \: = 2(9 + 7 + 5) \\ \\ perimeter = 42 \: \\ \\ \huge\mathfrak\purple{hope \: it \: helps...}\)

Steven pay 10% tax on a purchase of $40 to what's the dollar amount of the tax and total dollar amount Steven paid on the number line​

Answers

Answer:

$4, and $44

Step-by-step explanation:

10% of 40 = $4

40+4=$44

just mark 4 ,  44 on number line

Answer: $44.00

Step-by-step explanation: The dollar amount of the taxes are $4.00 and the total amount he paid was$44.00

You are at the grocery store choosing between bananas and walnuts. You know that the price of walnuts is $2 per pound and the price of bananas is $1 per pound, and your satisfaction from consuming is given by the following utility function: U=W .5
B .5
a. What is your marginal rate of substitution of walnuts for bananas? b. Using the Lagrangian approach, find your optimal consumption bundle. What is your total utility at this level? c. If the price of bananas doubles to $2 per pound, how much income must you have to maintain the same level of utility?

Answers

a. MRS = √(W/B)
b. Optimal bundle and total utility.
c. Adjusted income for constant utility.

a. The marginal rate of substitution (MRS) of walnuts for bananas is the rate at which you are willing to give up walnuts in exchange for one additional pound of bananas while keeping the utility constant. In this case, the MRS is equal to the ratio of the marginal utility of walnuts to the marginal utility of bananas. Since the utility function is U = √(W * B), the MRS can be calculated as MRS = √(W/B).

b. Using the Lagrangian approach, we can set up the following optimization problem: maximize U = √(W * B) subject to the constraint 2W + B = I, where W represents the pounds of walnuts, B represents the pounds of bananas, and I represents income. By solving the Lagrangian equation and the constraint, we can find the optimal consumption bundle and income level.

c. If the price of bananas doubles to $2 per pound, we need to determine the income required to maintain the same level of utility. With the new price, the constraint becomes 2W + 2B = I. By solving the Lagrangian equation again and substituting the new constraint, we can find the income level required to maintain the same level of utility.

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What value of x is in the solution set of the inequality 9 2x 1 9x 18?.

Answers

The value of x in the solution set of the inequality 9(2x+1) < 9x-18 is

x <-3.

Given inequality:

9(2x+1) < 9x-18

simplifying

9*2x + 9*1 < 9x - 18

18*x + 9 < 9x - 18

18x + 9 < 9x - 18

combining the like terms

18x - 9x + 9 < -18

9x + 9 < -18

combining the constants

9x < -18-9

9x < -27

divide by 9 on both sides

9x/9 < -27/9

x < -27/9

x < -3

Therefore the value of x in the solution set of the inequality 9(2x+1) < 9x-18 is x <-3.

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7th garde math question pt 2 pls answer a s a p i ready grade f level

7th garde math question pt 2 pls answer a s a p i ready grade f level

Answers

Answer:

45

Step-by-step explanation:

3² · (12-2) ÷ 2

= 9 · (10) ÷ 2

= 90 ÷ 2

= 45

So, the answer is 45

Answer: 135

Step-by-step explanation: use a calculator/online calculator

Which figure is missing in the pattern?

Which figure is missing in the pattern?

Answers

Answer:

B

Step-by-step explanation:

The pattern is square numbers so

1, 4, 9, 16, 25

Find an equation in slope-intercept form for the line with slope -3/4 and y-intercept=0? will give BRAINLIEST

Answers

Answer:

Step-by-step explanation:

See the solution process below:

Explanation:

The slope-intercept form of a linear equation is:  y =mx+b

Where  m is the slope and b

is the y-intercept value.

We are given the slope in the problem so we can substitute

−5/6 for  m  in the formula.

And,

(0,6)

is the y-intercept so we can substitute

6

for

b

in the formula giving:

y

=

5

6

x

+

6

Answer:

y=-3/4x

Step-by-step explanation:

y=mx+b

If the y-intercept is 0 then the b in y=mx+b is 0.

the slope is -3/4 so mx is going to be -3/4x.

Oh please help!! urgent it’s due in 10 minutes and I don’t get this one please help!

Oh please help!! urgent its due in 10 minutes and I dont get this one please help!

Answers

Answer:

it growth

negative infinity to positive

-7, positive infinity

y inter = -6

horizontal asym = -7

Step-by-step explanation:

1. Yu Yan competes in a sprint triathlon. The race consists of three parts: a 0.5-mile swim, a
12.4-mile bike ride, and a 3.1-mile run.
a. Yu Yan completes the swim portion of the sprint triathlon in 25 minutes. What is her average
swimming speed in miles per minute?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which fraction is equal to 12%

Answers

Answer:

3/25

Step-by-step explanation:

Simplify the fraction by using common factors of numerator and denominator. Now, 12% can be written as 12/100.

Samir is raising money for a school trip by selling candy bars and bags of chips. The
price of each candy bar is $1 and the price of each bag of chips is $2. Yesterday Samir
made $32 from selling a total of 20 candy bars and bags of chips. Graphically solve a
system of equations in order to determine the number of candy bars sold, x, and the
number of bags of chips sold, y.

Answers

The number of candy bars sold, x, is equal to 8 candy bars.

The number of bags of chips sold, y, is equal to 12 chips.

How to write an equation to model this situation?

In order to write a linear equation to describe this situation, we would assign variables to the number of bags of chips sold and the number of candy bars sold respectively, and then translate the word problem into a linear equation as follows:

Let the variable y represent the number of bags of chips sold.Let the variable x represent the number of candy bars sold.

Since the price of each candy bar is $1 and the price of each bag of chips is $2, and he made $32 from selling a total of 20 candy bars and bags of chips, a system of linear equations to describe this situation can be written as follows;

x + y = 20

x + 2y = 32

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Samir is raising money for a school trip by selling candy bars and bags of chips. Theprice of each candy

use common logarithms to solve for x in terms of y. (enter your answers as a comma-separated list.)

Answers

Hence, x in terms of y is x = log(y) / log(5) found using the  common logarithms.

To solve the given problem with common logarithms and find x in terms of y, let's start with the provided information that is to use common logarithms.

Let us begin with a common logarithm defined as a logarithm to the base 10.

Therefore, we use the common logarithmic function of both sides of the given equation,

y = 5^x.

As a result, we get:log(y) = log(5^x)

We know that the power property of logarithms states that logb (a^c) = c * logb (a), where b is the base, a is a positive number, and c is a real number.

Using this property, we can rewrite the right-hand side of the above equation as:x log(5)

Now, we have:log(y) = x log(5)

To get the value of x in terms of y, divide both sides of the above equation by log(5).

We obtain the following:log(y) / log(5) = x

Therefore, x = log(y) / log(5).

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19. find the moments of inertia ix, iy, i0 for the lamina of exercise 5.

Answers

To find the moments of inertia ix, iy, and i0 for the lamina of exercise 5, we need to first determine the coordinates of its center of mass. Once we have the center of mass coordinates, we can use the parallel axis theorem and perpendicular axis theorem to calculate the moments of inertia.

Assuming we have the coordinates (x,y) of each point mass of the lamina and its corresponding mass m, we can use the following formulas to find the center of mass:

x_cm = (Σmx) / M
y_cm = (Σmy) / M

where M is the total mass of the lamina.

Once we have the center of mass coordinates, we can use the following formulas to find the moments of inertia:

ix = Σm(y-y_cm)^2
iy = Σm(x-x_cm)^2
i0 = ix + iy

where ix and iy are the moments of inertia about the x and y axes, respectively, and i0 is the moment of inertia about an axis passing through the center of mass perpendicular to the plane of the lamina.

Note that we can use the parallel axis theorem to find the moments of inertia about any axis parallel to the x or y axis, and we can use the perpendicular axis theorem to find the moment of inertia about any axis perpendicular to the plane of the lamina.

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Whats 4/5 of 20 help ALMSOT done

Answers

Answer:

16

Step-by-step explanation:

(4/5)*20=16

4 x 20 =80

5 x 1 =5

80/5=16

5/5=1

16/1=16

16 ur answer

the null hypothesis is always a statement about what?

Answers

The null hypothesis is always a statement about the population parameter or the absence of a relationship or difference between variables in a statistical hypothesis test. It is typically denoted as "H0" and assumes no effect or no difference exists.

The null hypothesis can take different forms depending on the specific research question. For example, in a study comparing the mean scores of two groups, the null hypothesis might state that the means are equal. In a correlation study, the null hypothesis could assert that there is no correlation between variables.

The null hypothesis acts as a baseline for comparison in hypothesis testing. Researchers aim to gather evidence against the null hypothesis to support an alternative hypothesis. Statistical analysis helps determine the likelihood of observing the obtained data if the null hypothesis were true.

By specifying a null hypothesis, researchers can objectively evaluate the evidence and draw conclusions about the relationship or difference they are investigating.

In summary, the null hypothesis is a statement about the population parameter or lack of relationship/difference, which serves as a reference point for hypothesis testing. It helps researchers assess evidence and draw conclusions based on statistical analysis.

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If f(x) = x to the 2nd power+ 2x - 10, what is f(-2)?

Answers

Answer:

Step-by-step explanation:

f(-2)= x^2+2x-10= (-2)^2+2(-2)-10= 4-4-10= 0-10 = -10

to compute χ2, the entries in the contingency table should be _________.

Answers

To compute the chi-square (χ2) statistic for a contingency table, the entries in the table should be non-negative whole numbers and should represent counts or frequencies.

The entries should indicate the number of observations falling into each category or combination of categories. It is important to note that the χ2 test is a statistical test used to analyze the association between categorical variables, and it requires the data to be in the form of a contingency table with appropriate counts or frequencies.

The χ2 test is commonly used to examine the relationship between two categorical variables. The contingency table is a table that summarizes the observed frequencies or counts for each combination of categories of the variables. The entries in the contingency table should fulfill certain requirements to ensure the validity of the χ2 test. Firstly, the entries in the table should be non-negative whole numbers, as they represent counts or frequencies of occurrences. Negative values or non-integer values are not meaningful in this context.

Secondly, the entries should reflect the number of observations falling into each category or combination of categories. Each cell in the table represents the count or frequency of observations falling into a specific combination of categories. By ensuring that the entries in the contingency table satisfy these criteria, we can accurately compute the χ2 statistic and perform the appropriate statistical analysis to assess the association between categorical variables.

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Calculate the slope of the line:
(-3,-4)
3(run)
(0,4)
8(rise)

Answers

The slope of the line with a rise of 8 and a run of 3 is 8/3 OR 2 2/3

Calculating the slope of a line

From the question, we are to calculate the slope of the line

Using the formula for the slope of a line,

Slope = (y₂ - y₁) / (x₂ - x₁)

x₁ = -3

x₂ = 0

y₁ = -4

y₂ = 4

Slope = (4 - (-4)) / (0 - (-3))

Slope = (4 + 4) / (0 + 3)

Slope = 8 / 3

Slope = 2 2/3

Also,

Slope can be calculated by using the formula

Slope = Rise / Run

Slope = 8 / 3

Slope = 2 2/3

Hence,

The slope of the line is 8/3 OR 2 2/3

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find the product. give your answer as a simplified fraction. 5/6×5=?

Answers

To solve:

\(\frac{5}{6}\cdot5\)

We multiply the denominator by 5:

\(\frac{5\cdot5}{6}=\frac{25}{6}\)

To write it as a simplified fraction, we can note that 4 * 6 = 24

Then:

\(\frac{25}{6}=4\frac{1}{6}\)

The set of all real numbers x that satisfies -3

The set of all real numbers x that satisfies -3

Answers

Answer:

\(567 { {yx6 { {x}^{2} }^{?} }^{?} }^{2} \times \frac{?}{?} 6 {x156346x { \frac{6y9yx9 { { \sqrt[ \sqrt{6x9 = x { \div x \times - { + x2x2 {?}^{2} }^{2} }^{2} } ]{?} }^{?} }^{2} \times \frac{?}{?} }{?} }^{?} \times \frac{?}{?} }^{2} \)

Step-by-step explanation:

copy that in your paper good luck to you

Answer:

It's False

Step-by-step explanation:

both signs are < not ≤, which means they are not included. [ ] means the number is included, but ( ) means they are not.

Basically:

( )   =   > <    

[ ]   =   ≥ ≤

In the equation y = $7.20x + $790, "y" represents Select one: A. variable costs/unit. B. total fixed costs. C. total costs. D. none of the above

Answers

In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.

The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.

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Use the function shown in the table to answer the questions below .

Use the function shown in the table to answer the questions below .

Answers

Answer:

a) -6

b) 3

c) Y = -6x + 3

Step-by-step explanation:

Pick two points and find rise/run = slope

rise y1 - y2 = 9 - 3 = 6

run x1 - x2 = -1 - 0 = -1

slope = 6 / -1 = -6

The y intercept is where x = 0 which is given in the table (0,3) so

y intercept = 3

Point slope form is y = mx + b , so

y = -6x + 3

a number r divided by 82

Answers

Answer:

574 is a number that can be divided by 82

What is the end behavior of the function shown in the graph above?
A
As x approaches 0, y approaches 15.
As x approaches 25, y approaches 0.

B
As x approaches∞, y approaches 0.
As x approaches −∞, y approaches ∞.

C
As x approaches 0, y approaches ∞.
As x approaches ∞, y approaches −∞.

D
As x approaches ∞, y approaches 0.
As x approaches ∞, y approaches ∞.

Answers

Answer:

B

Step-by-step explanation:

how do you solve 2/10 = 4/n + 5​

Answers

Answer:

n=5/6

Step-by-step explanation:

multiply both sides by n

get

(2/10)n =4 +5n

5n-(2/10)n=4

4.8n=4

n=5/6

on an american roulette table, there are 38 squares that correspond to 38 slots in the roulette wheel. you can bet on single squares or combinations of squares. each square has a number and a color. eighteen of the squares are red, 18 are black, and 2 are green. one thing you can do is bet red (or black), and it pays even money. (you risk $1, but if the roulette lands on any red space, you get back your $1 plus $1 in winnings.) if you play 30 times, betting $1 on red each time, what is the probability you will come out ahead? 0.64 0.36 0.50 none of the above.

Answers

The probability of coming out ahead after 30 spins is about 0.0732

The probability of winning on a single spin by betting on red (or black) is 18/38, which is approximately 0.4737.

Assuming each spin is independent of the others, the probability of winning exactly 15 times out of 30 is given by the binomial distribution with n=30 and p=0.4737. This can be calculated using the formula

P(X = k) = (n choose k) × \(p^k\) × \((1-p)^{n-k}\)

where X is the random variable representing the number of times we win in 30 spins, k is the number of times we win, "choose" denotes the binomial coefficient, and ^ denotes exponentiation.

Using a calculator or software that can calculate binomial probabilities, we find that

P(X = 15) = (30 choose 15) × 0.4737¹⁵ × 0.5263¹⁵ ≈ 0.0971

This means that the probability of winning exactly 15 times out of 30 is about 0.0971, or approximately 9.71%.

To find the probability of coming out ahead (winning more than you bet) after 30 spins, we need to consider all the possible outcomes. If we win exactly 15 times, we break even (winning 15 dollars and losing 15 dollars). If we win more than 15 times, we come out ahead. If we win less than 15 times, we come out behind.

The probability of winning more than 15 times can be calculated by adding up the probabilities of winning 16 times, 17 times, and so on, up to 30 times. This can be expressed as

P(X > 15) = P(X = 16) + P(X = 17) + ... + P(X = 30)

Using the same binomial distribution formula as before, we can calculate each term in this sum and add them up:

P(X > 15) ≈ 0.0732

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The give question is incomplete, the complete question is:

On an American roulette table, there are 38 squares that correspond to 38 slots in the roulette wheel. you can bet on single squares or combinations of squares. each square has a number and a color. eighteen of the squares are red, 18 are black, and 2 are green. one thing you can do is bet red (or black), and it pays even money. (you risk $1, but if the roulette lands on any red space, you get back your $1 plus $1 in winnings.) if you play 30 times, betting $1 on red each time, what is the probability you will come out ahead?

Lila planted a tree in her backyard. She made a graph to show the tree growth over 5 years.

1) What does the slope mean in real life in the context of the problem?

2) What does the y-intercept mean in real life in the context of the problem?

Answer in complete sentences.

Lila planted a tree in her backyard. She made a graph to show the tree growth over 5 years.1) What does

Answers

Answer:

1. Growth rate of tree 3 ft per year, 2. Beginning height of tree 5 feet, rise/run = 3/1 = 3

Step-by-step explanation:

The solution is

1) The slope of the graph m = 3 represents the growth of the tree per year

2) The y-intercept means the initial height of the tree , when x = 0

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P = P ( 3 , 14 )

Let the second point be Q = Q ( 1 , 8 )

Now , the slope of the two points on the line is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 14 - 8 ) / ( 3 - 1 )

Slope m = 6/2

Slope m = 3

Therefore , the slope is 3 feet per year

b)

The y intercept is calculated from the equation of line , when x = 0

So , the equation of line is given as

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 14 = 3 ( x - 3 )

On simplifying the equation , we get

y - 14 = 3x - 9

Adding 14 on both sides of the equation , we get

y = 3x + 5

Now , when x = 0

y = 3 ( 0 ) + 5

y = 5 feet

From the graph we can see that , at 0 years the initial height of the tree is also 5 feet

Therefore , the y intercept is 5 feet

Hence , The slope of the equation is 3 and y intercept is 5

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if people who do not pay for a good cannot be easily prevented from using that good, then economists say that the good is: jupiter's ring appears dark in back-scattered light, yet appears bright in forward-scattered light. what does this tell us about the particles that make up jupiter's ring? Make a conjecture. What properties do you think stay the same after a translation? Check all that Apply. Angle measures Length OrientationShapeSize a primary health care provider prescribes an intravenous (iv) solution of 5% dextrose and half-normal saline (0.45%) with 40 meq of potassium chloride for a child with hypotonic dehydration. the nurse performs which priority assessment before administering this iv prescription? PLEASE HELP ME!!! TIME SENSITIVE!!! WORTH EXTRA POINTS!!!Read this sentence from a companys style guide:Dont capitalize the spelled-out form of an abbreviation unless its a proper noun.Which sentence follows the style guide? A. The federal trade commission (FTC) investigates unfair businesses and business practices. B. The parts of the fan are usually the first to fail on a computers Central Processing Unit (CPU). C. The American chemical society (ACS) conducts a quarterly meeting with all its members. D. A director of technology analyzes the bounce rate (BR) of a website at least once a month. E. A Content Management System (CMS) allows the staff to update details on the companys website. 11) Jessy records this nformation in the table belownumber of cars (X)1,2,3,4,6Number of wheels(y)4,8,121.1)Complete the missing values in the table1.2)which values represent the input values?1.3)which values represent the output valves?1.4)What of the two variables that are represented in the table?1.5)which variables represents the independent variable ?provide a reason for youryour answer.1.6)which variable represents the dependent variable ? provide areason for your answer 1.7)write a verbal Statement that relates the numbers of cars to the number of wheels ingeneral1.8)write a number Sentence that relates the number of cars to the number of wheelsgeneral What is Swift's true main purpose in his essay A Modest Proposal?. The two most basic inventory questions answered by the typical inventory model are:. Please Help Essay Question: Even though separated by more than a century and comprising different cultures, in what ways are Christopher Columbus and the founders of Jamestown similar in their interactions with the Native Americans? when you reach the end of a paragraph, remember to __________ before moving on to the next paragraph Firms merge in order to (choose all that apply):Question 4 options:Increase economies of scale.Decrease diseconomies of scale.Reduce transaction costs.Increase economies of scope Why did Sledge write with the old breed? Read the excerpt from "Protecting the Great Barrier Reef."Imagine a place of tremendous natural beauty above and below the water. From the air, you see sprawling patterns of coral reef. Interspersed are green vistas of vegetated islands and white wisps of sandy beach. Dive underwater and you find brightly colored coral, fish, and underwater plant life. There are dolphins, whales, dugongs, and dozens of other unique species. Scattered across the seascape are islands with names like Lizard Island, Pumpkin Island, and Daydream Island. This place is no daydreamit's the Great Barrier Reef.Select the word or phrase from the excerpt that helps the reader understand the meaning of the word dugongs. brightly colored islands with names underwater plant life unique species Vend por 30 a la cual le haba incrementado el 12% una prenda de ropa. Calcula el precio de la prenda antes del incremento. A boy is 12 years old his mother is four times as old as he is in x years time the mother will be three times as old as. the son form an equation in x and hence find xplzzzzzzz help Olivia and Jake both have siblings with cystic fibrosis (CF), which is an autosomal recessive disorder. Neither of them has CF, nor do any of their parents. Olivia is now pregnant (and Jake is the father). Based on the information above, what are their chances of having a child without CF? Enter your answer as a fraction - e.g., 1/2 - and do not put anything else in the box. Hint #1: Both Olivia and Jake have a greater than 1/2 chance of being a carrier for CF. Hint #2: There are many different ways they could have a kid without CF. One could be a carrier and the other not, or they could both be carriers and not have a kid with CF anyway. You need to consider all these combinations. write the equation of a line perpindicular to 2x-7y=-6 that passes through the point (-2,6). simplify your answer. Which of the following excerpts from treasure Island contains a comparative objectiveA: indeed, he seems the most cheerful sprints and whistling as he moved among the tablesB: picked my way among a great crowd of people and carts and bales for the dock what is now at its busiest C: the captain had written earlier than usual, and sit down the beach and his cutlass swinging on the board skirts of the old blue coatD: there was no sound, but that the distant breakers mounting from all around and chirp of countless insects in the brush Please select one particular country and find unemployment rate record in the past decade. (5 marks) Task 2: Please search inflation rate in that country in the past 10 yers Which of the following is false?a. package labeling is usually done at the end of the assembly lineb. code numbers are preferable to words for labeling a productc. some firms are moving from one dimensional to two dimensional bar codes