Find the midpoint of CD.
C = (-3,4) and D = (5,-8)

Answer:

Jasmine has a total of $7.50 + $8.65 = $16.15 after borrowing from her friend.

She wants to buy a bag for $13.45 and a bracelet for $6.78, so the total cost is $13.45 + $6.78 = $20.23.

Jasmine still needs $20.23 - $16.15 = $4.08 to buy both items.

Step-by-step explanation:

Answer:

Jasmine has a total of $7.50 + $8.65 = $16.15 after borrowing from her friend.

She wants to buy a bag for $13.45 and a bracelet for $6.78, so the total cost is $13.45 + $6.78 = $20.23.

Jasmine still needs $20.23 - $16.15 = $4.08 to buy both items.

hii!

n(n-4) = 60

n^2 - 4n - 60 = 0

( n   -  10  )(n   +     6  ) = 0

n-10 = 0 ---> n = 10 ---> 10*(10-4) = 10*6  = 60

n+6 = 0 --> n = -6 ---> -6 * (-6-4) = -6 * -10 = 60

Answer:

A, B, D, E

Step-by-step explanation:

Given expression:

When multiplying decimals, multiply as if there are no decimal points:

\(\implies 6 \times 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 5 digits.

Put the same number of total digits after the decimal point in the product:

\(\implies (0.06) \cdot (0.154)=0.00924\)

-----------------------------------------------------------------------------------------------

Answer option A

\(\boxed{6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}}\)

When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.

Therefore:

\(\implies 6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}=(0.06) \cdot (0.154)\)

Therefore, this is a valid answer option.

Answer option B

\(\boxed{6 \cdot 154 \cdot \dfrac{1}{100000}}\)

Multiply the numbers 6 and 154:

\(\implies 6 \times 154 = 924\)

Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).

\(\implies 6 \cdot 154 \cdot \dfrac{1}{100000}=0.00924\)

Therefore, this is a valid answer option.

Answer option C

\(\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}\)

Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:

\(\implies 6 \cdot 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 3 digits.

Put the same number of digits after the decimal point in the product:

\(\implies 0.924\)

Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.

Answer option D

\(\boxed{6 \cdot 154 \cdot (0.00001)}\)

Again, employing the technique of multiplying decimals.

As there are a total of 5 digits after the decimals:

\(\implies 6 \cdot 154 \cdot (0.00001)=0.00924\)

Therefore, this is a valid answer option.

Answer option E

\(\boxed{0.00924}\)

As we have already calculated, (0.06) · (0.154) = 0.00924.

Therefore, this is a valid answer option.

Answer:

23

Step-by-step explanation:

one angle  = 134

Other two angles are the base angles which are  same.

x + x + 134 = 180   {Angle sum property}

2x + 134 = 180

2x = 180 - 134

2x = 46

x = 46/2

x = 23

Other two angles are 23 , 23

Answer:

2128

Step-by-step explanation:

T=wma T=76 X 7 X 4=2128

Answer:

T = 2128

Step-by-step explanation:

Step 1: Define equation

T = wma

w = 76

m = 7

a = 4

Step 2: Substitute

T = 76(7)(4)

Step 3: Evaluate

T = 2128

We may infer after addressing the stated question that As a result, ten expressions erasers set end to end would measure 25 inches in length.

You can add, subtract, divide, and multiply. This is how an expression is put together: Expression, number, and mathematical operator Numbers, variables, and operations (such as addition, subtraction, multiplication, and division, etc.) are all components of a mathematical expression. Expressions and phrases can be contrasted. Any mathematical statement with variables, integers, and an arithmetic operation between them is referred to as an expression or algebraic expression. For instance, the phrases 4m and 5 as well as the variable m from the given statement are all separated by the arithmetic symbol + in the phrase 4m + 5.

If an eraser is 2.5 inches long, then 10 erasers placed end to end equal:

25 inches = 10 erasers x 2.5 inches/eraser

As a result, ten erasers set end to end would measure 25 inches in length.

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Complete question:

Date Name Unit 4.7 LS² Day 3 Homework An Eraser Is 2(1)/(2) Inches Long. How Long Are 10 Erasers Placed End To End?

The equation for temperature change is T = -1.5t + 29 and the number line is plotted.

What is a number line?

A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.

Let T represent the temperature in degrees Celsius, and let t represent the time in hours after lunchtime.

Then write an expression for the situation as follows:

T = -1.5t + 29

Here, -1.5t represents the decrease in temperature per hour, since the temperature is dropping at a rate of 1.5 degrees Celsius per hour.

Adding 29 to -1.5t gives the initial temperature of 29 degrees Celsius at lunchtime.

To illustrate this situation on a number line diagram, we can plot the temperature T as a function of time t.

The diagram would have time t on the horizontal axis and temperature T on the vertical axis.

Label the point (0, 29) on the diagram to represent the temperature at lunchtime, and the point (x, 16) to represent the temperature at sunset, where x is the number of hours after lunchtime.

Then draw a straight line connecting these two points to represent the linear relationship between temperature and time.

The line slopes downward from left to right, indicating that the temperature is decreasing over time.

Therefore, the number line diagram is plotted.

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On Tuesday at lunchtime, it was 29 degrees Celsius. By sunset, the temperature had dropped to 16 degrees Celsius. Please write an expression for the situation, and draw a number line diagram.

The resulting vector is <2 + sqrt(9 - 4s), (11/2)s + 2 - sqrt(9 - 4s)>.

Expanding the dot product on the left-hand side, we get:

(2t - 1)(4s + 2t) = 8ts + 4t^2 - 4s - 2t

Expanding the dot product on the right-hand side, we get:

(2s - 4t)(-1) + (-(4 + 4t))(0) = -2s + 4t

Setting the two expressions equal to each other, we get:

8ts + 4t^2 - 4s - 2t = -2s + 4t

Simplifying and rearranging, we get:

4t^2 + 10s - 6t = 0

We can solve for t using the quadratic formula:

t = [6 ± sqrt(6^2 - 4(4)(s))] / (2(4))

t = [3 ± sqrt(9 - 4s)] / 4

Therefore, for the equality to hold true, t must be equal to:

t = [3 ± sqrt(9 - 4s)] / 4

Similarly, we can solve for s:

4t^2 + 10s - 6t = 0

s = (3t - 2t^2) / 5

Substituting the expression we found for t into this equation, we get:

s = (3/5) [3 ± sqrt(9 - 4s)] - (3/5) [3 ± sqrt(9 - 4s)]^2 / 16

This is a quadratic equation in s, which we can solve using the quadratic formula:

s = [3/10] (9 ± sqrt(9 - 16t^2))

Therefore, for the equality to hold true, s must be equal to:

s = [3/10] (9 ± sqrt(9 - 16t^2))

Finally, we can find the resulting vector by evaluating the left-hand side of the equality at the values of t and s we just found. Substituting t = [3 + sqrt(9 - 4s)] / 4 into <2t - 1, 4s + 2t>, we get:

<2t - 1, 4s + 2t> = <3 + sqrt(9 - 4s) - 1, 4s + 3 + (3/2)s - sqrt(9 - 4s)>

Simplifying, we get:

<2t - 1, 4s + 2t> = <2 + sqrt(9 - 4s), (11/2)s + 2 - sqrt(9 - 4s)>

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Answer:

Expand (x+2)^3. (x+2)3 ( x + 2 ) 3. Use the Binomial Theorem. x3+3x2⋅2+3x⋅22+23 x 3 + 3 x 2 ⋅ 2 + 3 x ⋅ 2 2 + 2 3. Simplify each term.

The mean square errors for the three-month and four-month moving average forecasts shown below.

How closely a regression line resembles a set of data points is determined by the Mean Squared Error. It is a risk function that corresponds to the squared error loss's expected value. The average, more particularly the mean, of errors squared from data related to a function is used to determine mean square error.

Given:

According to the Given data we construct a table as

Month   Sales   3- month           4- month      3- month     4- month      

                         moving             moving         squared       squared

                        averages            averages      error           error

1             9.6      

2             9.2

3             9.3

4             9.2     9.367                                        0.111            

5             9.2     9.400                   9.450           0.160        0.123    

6             9.2     9.500                  9.500            0.010        0.140    

7             9.2     9.733                   9.625            0.001         0.006  

8             9.2     9.733                   9.725            0.751          0.776  

9             9.2     10.000                 9.950           0.010           0.002  

10            9.2     10.067                  9.975            0.218          0.141  

11             9.2     10.033                   9.950          0.401           0.322

12            9.2     9.633                   9.975             0.004          0.031

13                       9.567                 9.650    

                                                        MSE             0.185            0.176

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Answer: More green squares. Also 3 blue squares on the rug.

Step-by-step explanation:

The question said the rug is a rectangle. There are also 8 squares on the rug. 4 squares are already taken by green squares. Proof of this is in the fraction itself: 4/8. so out of 8 squares, green occupies 4. We now have 4 squares left.

Purple occupies 1/4. That means we now have 3 squares left. Therefore, the remaining 3 squares are blue.

Answer: 3 blue squares.

In fraction terms, blue occupies 3/8ths of the rectangular rug.

the value inside the square root must be positive or zero, then:

x - 7 ≥ 0

x - 7 +7 ≥ 0 + 7 adding 7 at both sides

x ≥ 7

The only option greater than or equal to 7 is 8

The term which is used for describing the number of voters who casted their votes using the ballots is called as voter turnout.

The process of selecting a candidate for a suitable post who takes care of the policies which will be framed for the people is called as voting. In this process, the members/ citizens casts their vote in the favor of their suitable candidate. Many times voters are not valid and their votes are considered as null and void.

The voter turnout is either the percentage of registered voters, eligible voters, or all voting-age people ( this varies from place to place depending upon the minimum voting age required). The voter turnout is also referred to the number of people who go to it or take part in it. High voter turnout is generally considered a sign of a healthy democracy.

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Answer:

Option C. 885 km/h West

Explanation:

Data obtained from the question. This include the following:

Displacement = 4425 Km due West

Time = 5 hours

Velocity =?

Velocity is defined as displacement per unit time. Mathematically, it is expressed as

Velocity = Displacement /Time

With the above formula, we can calculate the velocity of the plane as follow:

Velocity = Displacement /Time

Velocity = 4425/5

Velocity = 885 km/h West

Step-by-step explanation:

i did the quiz/test

Using the slope formula, we can conclude that the slope of the line is m = 2.

So, the slope of the line is:

Now, put the values and solve for the slope as follows:

Therefore, using the slope formula, we can conclude that the slope of the line is m = 2.

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Answer:

Step-by-step explanation:

The imaginary number 'i' is equal to the square root of -1. If you were to square the square root, they both cancel and you get -1.

\(21i^2=21(\sqrt{-1} )^2=21(-1)=-21\)

Answer:

x+(6-4)x-24

x+6x-4x-24

x(1+6)-4(x-6)

(x-4)(x-6)

Answer:

\((x - 4)(x + 6)\)

Step-by-step explanation:

to factor the trinomial, we need to find factors of -24 that have a sum of 2.

24 has factors 1, 2, 3, 4, 6, 8, 12, and 24.

\(6*-4\) is the only set of factors that fit the requirements (factors of -24 and add up to 2).

therefore, the factored trinomial is written as \((x - 4)(x + 6)\).

Answer:

hope this will help you more...best of luck

To estimate the absolute error in approximating cos(0.48) using the 3rd-order Taylor polynomial centered at 0, we need to use the remainder term of the Taylor polynomial, also known as the Lagrange remainder or the remainder term of the Taylor series.

The remainder term for the nth-order Taylor polynomial is given by:

Rn(x) = (f^(n+1)(c) / (n+1)!) * (x-a)^(n+1)

where f^(n+1)(c) represents the (n+1)th derivative of the function evaluated at some value c between the center a and the point x.

In this case, we want to approximate cos(0.48) using the 3rd-order Taylor polynomial centered at 0, so n = 3.

The 4th derivative of the function cos(x) is -cos(x), and since the cosine function is bounded by 1, we can say |cos(x)| <= 1 for all x.

Using the remainder term formula, we have:

R3(0.48) = |-cos(c) / 4!| * (0.48-0)^4

Since the maximum value of the absolute value of the cosine function is 1, we can simplify the inequality:

|R3(0.48)| <= 1/4! * (0.48-0)^4

|R3(0.48)| <= 1/24 * 0.48^4

|R3(0.48)| <= 0.001599488

Therefore, the estimated absolute error in approximating cos(0.48) with the 3rd-order Taylor polynomial centered at 0 is approximately 0.001599488.

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40/6 = 6.666... in each container

hope it helps...!!!

Answer:

\(6\frac{2}{3}\text{ pounds}\)

Step-by-step explanation:

The baker must have equal amounts in all countainers. Therefore we need to use division to solve this question.

Therefore we get:

\(\frac{40}{6}\)

Simplify the fraction:

\(\frac{20}{3}\)

Write it as a mixed fraction:

\(6\frac{2}{3}\)

6 2/3 pounds will be in each container.

Regular expressions for the following languages using Go's regular expression syntax: Language:  Biological pronunciation for plants at Monrovia.com.

On the Hot Blooded Lantana, Lantana camara, Monrovia Plant page, the pronunciation is: lan-TAY-na ca-MA-ra.• For Blue Arrow Juniper, Juniperus scapular, Monrovia Plant, the pronunciation is: ju-NIP-er-us skop-u-LO-rumPattern.

\(^[A-Z][a-z]+(-[A-Z][a-z]+)*$\)

Language: Plant prices at Monrovia.com. Plants may be offered in different sizes, so if you click on the Container Size link on a page like: Hot Blooded Lantana, Lantana camara, Monrovia Plant, you find strings like.

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Five other iterated integrals that are equal to the given iterated integral are:

∫₀⁷ ∫y²₂ ∫₀ʸ f(x, y, z) dx dz dy

∫₀⁷ ∫₀ʸ ∫y²₂ f(x, y, z) dx dz dy

∫y²₂ ∫₀⁷ ∫₀ʸ f(x, y, z) dx dy dz

∫y²₂ ∫₀ʸ ∫₀⁷ f(x, y, z) dx dy dz

∫₀ʸ ∫y²₂ ∫₀⁷ f(x, y, z) dz dx dy

To find the five other iterated integrals that are equal to the given iterated integral, we need to rearrange the order of integration. We can do this by changing the order of the limits of integration and writing the integral with respect to a different variable first.

The original integral is:

∫₀⁷ ∫y²₂ ∫₀ʸ f(x, y, z) dz dx dy

Now, we can change the order of integration in the following ways:

∫₀⁷ ∫y²₂ ∫₀ʸ f(x, y, z) dx dz dy

∫₀⁷ ∫₀ʸ ∫y²₂ f(x, y, z) dx dz dy

∫y²₂ ∫₀⁷ ∫₀ʸ f(x, y, z) dx dy dz

∫y²₂ ∫₀ʸ ∫₀⁷ f(x, y, z) dx dy dz

∫₀ʸ ∫y²₂ ∫₀⁷ f(x, y, z) dz dx dy

Each of these integrals has the same value as the original integral, but with a different order of integration. It is important to note that changing the order of integration can sometimes make the integral easier to evaluate, especially if the integrand has certain symmetries.

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Answer:

2r-3(r+7)-8r=10(r-1)

2r-3r-21-8r=10r-10

-9r-10r=-10+21

-19r=11

-19/11=r

Step-by-step explanation:

The possible definitions of f(x) and g(x), considering the composition of the functions, are given as follows:

The composite function of f(x) and g(x) is given by the following rule:

(f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

The functions for this problem are defined as follows:

As the composition of the functions is then given as follows:

\(h(x) = f(g(x)) = f(8x + 6) = \sqrt{8x + 6}\)

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Answer:

$200

Step-by-step explanation:

Consider the original price be x

As per the question

Solving the equation yields:

In conclusion

the original price of the jacket was $200

Answer:

the right answer is 7x+4

On solving the provided query we have In the circle graph, paddleboarding therefore has a centre angle of 194.4°. Paddleboarding, then, is the correct response.

It is possible to multiply, divide, add, or subtract in mathematics. The following is how an expression is put together: Number, expression, and mathematical operator The components of a mathematical expression (such as addition, subtraction, multiplication or division, etc.) include numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and an arithmetic operation between them. For instance, the word m in the given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as does the variable m in the expression 4m + 5.

Calculating the proportion of campers who choose each activity is necessary to find the central angle of each activity in a circle graph. To achieve this, multiply the result by 100 and divide the number of campers who picked each activity by the total number of campers questioned (100).

The proportions are

15% when kayaking (15/100 x 100%).

Wakeboarding: 11% (11/100 x 100%)

Surfing the wind: 7/100 x 100% = 7%

Skipping on water: 13/100 times 100% is 13%

SUP: 54/100 times 100% is 54%.

54% x 360° = 194.4°

In the circle graph, paddleboarding therefore has a centre angle of 194.4°. Paddleboarding, then, is the correct response.

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The amount by which Stephanie sold the item is given as follows:

1560 naira.

The amount by which Stephanie sold the item is obtained applying the proportions in the context of the problem.

The amount at which the item was purchased is given as follows:

1500 naira.

Hence the amount at which the item was sold is given as follows:

1.04 x 1500 = 1560 naira.

The problem asks for the amount by which Stephanie sold the item.

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Answer: No, they are not collinear.