PLZZZ HELP IM GONNA GET A PHONE CALL HURRY

the solution to the pair of equations is u = (1,1) and v = (1,0).

u + 3v = (2,1)

3u + v = (3,2)

u = (1,1) and v = (1,0)

The first equation can be written as:

u + 3v = (2,1)

We can rewrite this equation as:

u + 3(1,0) = (2,1)

By substituting the values of i and j, we can solve for u:

u + (3,0) = (2,1)

u = (2-3,1) = (-1,1)

Now, we can substitute the value of u in the second equation:

(1,1) + v = (3,2)

By subtracting (11) on both sides, we can solve for v:

v = (3-1,2-1) = (2,1)

Therefore, the solution to the pair of equations is u = (1,1) and v = (1,0).

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Answer:

Step-by-step explanation:

Formula for Circumference of a circle is 2* pi * radius

If r=16

C= 2*π*16

C=32π

This line quote from Old Major's "Whatever goes upon two legs is an enemy. Whatever goes upon four legs, or has wings, is a friend." This line ratio reveals that animals should not oppress each other and should instead be united as friends.

This line from Old Major's speech in Animal Farm reveals the core message of the Seven Commandments: animals should not oppress each other and should instead be united as friends. This is made clear by the dichotomy between “two legs” and “four legs or has wings”, which represent humans and animals respectively. By stating that animals should not oppress those like them, Old Major is emphasizing the need for all animals to stick together and reject the oppression humans are able to inflict on them. The Seven Commandments that Old Major lays out are meant to be a guide for the animals to follow so that they can come together and fight against the oppressive human regime. The commandment “no animal shall oppress another” is useful in this respect, as it reinforces the idea that animals should be united and work together towards a common goal.

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Answer: 640

Step-by-step explanation:

8 x 8 x 9 + 1/3 (8 x 8 x 3)

= 640  in cubic ft

The volume in cubic feet of space the tent occupies will be 640 cubic feet.

The steps are as follow:

Length = 8 ft.

Width = 8 ft.

height = 9 ft.

Length = width = 8 ft.

height = 3 ft.

volume of cuboid = length x width x height

volume of cuboid = 8 x 8 x 9

volume of cuboid = 576 cubic ft

volume of square pyramid = (length x length x height) / 3

volume of square pyramid = (8 x 8 x 3) / 3

volume of square pyramid = 64 cubic ft.

volume of cuboid + volume of square pyramid = 576 + 64

Total volume of space = 640 cubic feet

So the volume in cubic feet of space the tent occupies will be 640 cubic feet

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Answer:

6.44

Step-by-step explanation:

Since, there is a 4 in the hundredths and in the thousandths place there is a 3, then the answer should round off to 6.44 because you only round the 4 up to a 5 if the number in the thousandths place is 5 or greater.

Hope this helps!

Answer:

acute angles ig..............

Answer:

a. acute

Step-by-step explanation:

Acute is anything smaller than 90 degrees, which this triangle is.

Equiangular would mean that all the angles have to be the same which this triangle is not.

Obtuse triangle means one of the angles is more than 90 but less than 180, which this triangle is also not.

Right triangle means that one of the angles have to be 90 degrees, or u can say a right angle, none of the angles in this triangle is 90 degrees so no.

The rationalized expression would be \(\sqrt{3}+\frac{\sqrt{9} }{\sqrt{x}}\).

What is a rationalized expression?

A rationalized expression is an expression that has been written in a simplified form which eliminates any radicals (square roots, cube roots, etc.) from the denominator. The denominator is made a rational number, meaning it can be expressed as a fraction with an integer numerator and denominator. This is done by multiplying both the numerator and the denominator by the radical of the denominator. This process is called rationalization.

The given expression is

                          \(=\frac{\sqrt{9}}{\sqrt{3}+ \sqrt{x} } \\\\=\frac{\sqrt{9} }{\sqrt{3} }+ \frac{\sqrt{9} }{\sqrt{x}}\\\\=\frac{3 }{\sqrt{3} }+\frac{\sqrt{9} }{\sqrt{x}}\\\\=\sqrt{3}+\frac{\sqrt{9} }{\sqrt{x}}\)

Hence, the rationalized expression would be \(\sqrt{3}+\frac{\sqrt{9} }{\sqrt{x}}\).

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The possible outcomes in the sample space of this experiment are

{(h,1),,(h,2),(h,3),(h,4),(h,5),(h,6),(t,1),(t,2),(t,3),(t,4),(t,5),(t,6)}

Jo flips a coin sample space for a coin = {h, t}

and rolls a 6-sided die sample space for a die = {1,2,3,4,5,6}

at a time coin is tossed and the die is rolled

the possible outcomes in the sample space of this experiment are

{(h,1),,(h,2),(h,3),(h,4),(h,5),(h,6),(t,1),(t,2),(t,3),(t,4),(t,5),(t,6)}

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Answer:

43.0°

Step-by-step explanation:

cos∅=adj/hyp

cos∅=60/82

∅=cos-1 60/82

∅=cos-1  0.731707317073

∅=42.97028393174°

Round: 43.0°

Answer:

R=42.9703≈43  

Step-by-step explanation:

Deltamath

Answer: an = 28 - 6n

Step-by-step explanation: The equation for the nth term of an arithmetic sequence is given by the formula an = a1 + (n - 1)d, where a1 is the first term and d is the common difference.

Given that a1 = 28 and d = -6, we can use the formula to find the equation for the nth term:

an = 28 + (-6) * (n - 1) = 28 - 6n + 6 = 28 - 6n

So the equation for the nth term of the given arithmetic sequence is:

an = 28 - 6n

Answer:  a_{n}=28+-6(n-1)

Step-by-step explanation:

   The formula for an arithmetic sequence is a_{n}=a₁+(n-1)d

   then, if  a1=28 and d=-6   we obtain that a_{n}=28+(n-1)(-6)

   so, a_{n}=28+-6(n-1) is the equation

Answer:

Step-by-step explanation:

\(3\sqrt2=\sqrt{3^2\cdot2}=\sqrt{18}\\\\2\sqrt3=\sqrt{2^2\cdot3}=\sqrt{12}\\\\18>17>15>14>13>12\ \implies\ 3\sqrt2>\sqrt{17}>\sqrt{15}>\sqrt{14}>\sqrt{13}>2\sqrt{3}\)

{√16 = 4 is rational}

It took both Sandy and Tom 54 seconds to cover the same distance.

We can set up an equation based on their relative speed

Take the supposition that Tom needs "t" seconds to travel the distance. Sandy started jogging 12 seconds before Tom, so it will take her "t + 12" seconds longer to complete the same distance.

To determine the distance traveled by Sandy, multiply her speed (7 meters per second) by her time (t + 12) seconds. Tom's distance traveled may be determined by dividing his speed (9 meters per second) by his time (t) seconds.

Equating the distances covered by Sandy and Tom:

7(t + 12) = 9t

Expanding the equation:

7t + 84 = 9t

Subtracting 7t from both sides:

84 = 2t

Dividing both sides by 2:

t = 42

Tom traveled the distance in 42 seconds as a result. We add the 12-second lead Sandy had to determine the time it took for both Sandy and Tom to travel the same distance:

t + 12 = 42 + 12 = 54

So, it took both Sandy and Tom 54 seconds to cover the same distance.

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Answer:

$43,500

Step-by-step explanation:

Charge for the month - margin of error

= 45 - 1.5

= $43.50

= 43.50 x 1,000

= $43,500

This are used to determine the maximum or minimum of a function. The vertex form of the function is given as y = 3(x+2)² - 5

This are used to determine the maximum or minimum of a function. Give the quadratic equation expressed as:
y = 3x² + 12x + 7

The vertex form of the function will be in the form y = a(x-h)² + k

Complete the square

y = 3(x² + 4x) + 7

y = 3(x² + 4x + 2² - 2²) + 7
y = 3(x+2)² - 3(4) + 7

y = 3(x+2)² - 5

Hence the vertex form of the function is given as y = 3(x+2)² - 5

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Answer:

distance between the points is 8.602325267 units

Step-by-step explanation:

(5 , 8)=(x1 , y1)

(-2 , 3)=(x2 , y2)

use formula:\(\sqrt{(x2-x1)^2 + (y2-y1)^2}\)

=\(\sqrt{(-2-5)^2 + (3-8)^2}\)

=\(\sqrt{(-7)^2 + (-5)^2}\)

=\(\sqrt{49 + 25}\)

=\(\sqrt{74\)

=8.602325267 units

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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Answer:

a. Mean:

(12 + 13 + 14(3) + 15(3) + 16(2) + 17(3)

+ 18(5) + 19 + 20 + 21 + 22(2))/23

= 389/23 = 16.91

b. Median: There are 23 observations, so the median is the 12th observation when the data are arranged in order. That observation is 17.

c. Mode: The mode is the age that appears the most times. That age is 18, which appears 5 times.

d. Range = largest value - smallest value

= 22 - 12 = 10

e. When the data are arranged in order, the first quartile is the 6th observation, 15, and the third quartile is the 18th observation, 18. So IQR = Q3 - Q1 =

18 - 15 = 3

f. 16.875 × 24 = 405

405 - 389 = 16

g. If the 24th member of this data is a 17-year-old, the median will remain 17.

\( \sf \: 1. \bigg[ \frac{4 + ( - 5)}{ - 2 - 3} \bigg]\bigg[ \frac{14 + ( - 21)}{ 2 - 8} \bigg] \\ \)

\( \sf \longrightarrow \: \bigg[ \frac{4 + ( - 5)}{ - 2 - 3} \bigg]\bigg[ \frac{14 + ( - 21)}{ 2 - 8} \bigg] \\ \)

\( \sf \longrightarrow \: \bigg[ \frac{4 - 5}{ - 2 - 3} \bigg]\bigg[ \frac{14 - 21}{ 2 - 8} \bigg] \\ \)

\( \sf \longrightarrow \: \bigg[ \frac{ - 1}{ - 5} \bigg]\bigg[ \frac{ - 7}{ - 6} \bigg] \\ \)

\( \sf \longrightarrow \: \frac{1}{ 5} \times \frac{ 7}{ 6} \\ \)

\( \sf \longrightarrow \: \frac{7}{30} \\ \)

C) 7/30 ✅

________________________________

\( \sf \: 2. \bigg[ \frac{7+ ( - 6)}{ - 4 - 9} \bigg]\bigg[ \frac{20 + ( - 45)}{ 8 - 2} \bigg] \\ \)

\( \sf \longrightarrow\bigg[ \frac{7 + ( - 6)}{ - 4 - 9} \bigg]\bigg[ \frac{20 + ( - 45)}{ 8 - 2} \bigg] \\ \)

\( \sf \longrightarrow\bigg[ \frac{7 - 6}{ - 4 - 9} \bigg]\bigg[ \frac{20 - 45}{ 8 - 2} \bigg] \\ \)

\( \sf \longrightarrow\bigg[ \frac{1}{ - 4 - 9} \bigg]\bigg[ \frac{ - 25}{ 8 - 2} \bigg] \\ \)

\( \sf \longrightarrow\bigg[ \frac{1}{ - 13} \bigg]\bigg[ \frac{ -25}{ 6} \bigg] \\ \)

\( \sf \longrightarrow \: \frac{ - 25}{ - 78} \\ \)

\( \sf \longrightarrow \: \frac{ 25}{ 78} \\ \)

A] 25 / 78 ✅

________________________________

\( \sf \: 3. \bigg[ \frac{4+ ( - 5)}{ - 2 - 4} \bigg]\bigg[ \frac{18 + ( - 36)}{ 7 - 3} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{4+ ( - 5)}{ - 2 - 4} \bigg]\bigg[ \frac{18 + ( - 36)}{ 7 - 3} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{4 - 5}{ - 2 - 4} \bigg]\bigg[ \frac{18 - 36}{ 7 - 3} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{-1}{ - 6} \bigg]\bigg[ \frac{18 - 36}{ 7 - 3} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{-1}{ - 6} \bigg]\bigg[ \frac{-18}{ 4} \bigg] \\ \)

\( \sf \longrightarrow \frac{18}{ - 24} \\ \)

\( \sf \longrightarrow -\frac{6}{ 8} \\ \)

\( \sf \longrightarrow -\frac{3}{ 4} \\ \)

C] -3/4 ✅

________________________________

\( \sf \: 4. \bigg[ \frac{7+ ( - 3)}{ - 6 - 2} \bigg]\bigg[ \frac{18 + ( - 6)}{ 6- 7} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{7+ ( - 3)}{ - 6 - 2} \bigg]\bigg[ \frac{18 + ( - 6)}{ 6- 7} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{7- 3}{ - 6 - 2} \bigg]\bigg[ \frac{18 - 6}{ 6- 7} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{4}{ - 6 - 2} \bigg]\bigg[ \frac{12}{ 6- 7} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{4}{ - 8} \bigg]\bigg[ \frac{12}{ -1} \bigg] \\ \)

\( \sf \longrightarrow \frac{48}{ 8} \\ \)

\( \sf \longrightarrow \frac{6}{ 1} \\ \)

\( \sf \longrightarrow 6 \\ \)

D] 6 ✅

________________________________

\( \sf \: 5. \bigg[ \frac{8+ ( - 2)}{ - 5- 6} \bigg]\bigg[ \frac{40 + ( - 48)}{ 9 - 8} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{8+ ( - 2)}{ - 5- 6} \bigg]\bigg[ \frac{40 + ( - 48)}{ 9 - 8} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{8 - 2}{ - 5- 6} \bigg]\bigg[ \frac{40 - 48}{ 9 - 8} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{6}{ - 5- 6} \bigg]\bigg[ \frac{-8}{ 9 - 8} \bigg] \\ \)

\( \sf \longrightarrow \bigg[ \frac{6}{ - 11} \bigg]\bigg[ \frac{-8}{ 1} \bigg] \\ \)

\( \sf \longrightarrow \frac{-48}{ - 11} \\ \)

\( \sf \longrightarrow \frac{48}{ 11} \\ \)

B] 48/11 ✅

________________________________

1.1x+1.2x-5.4=-10x

Move all terms to the left:

1.1x+1.2x-5.4-(-10x)=0

Add all the numbers together, and all the variables

2.3x-(-10x)-5.4=0

Get rid of parentheses

2.3x+10x-5.4=0

Add all the numbers together, and all the variables

12.3x-5.4=0

Move all terms containing x to the left, all other terms to the right

12.3x=5.4

x=5.4/12.3

x=3.8571428571429/8.7857142857143

Hope it helps!

The bakery that Zari should use to order the greatest number of cupcakes is given as follows:

Betty's Bakery.

The equation that models the cost of d dozens of cupcakes from Betty's Bakery is given as follows:

C(d) = 18d + 20.

Zari has $110 to spend, hence the number of dozens of cupcakes that he can purchase is obtained as follows:

110 = 18d + 20

18d = 90

d = 5 dozens.

For Betty's Bakery, the table gives a proportional relationship with a constant of 24, hence the equation is given as follows:

C(d) = 24d.

Hence the number of dozens that Zari can purchase is obtained as follows:

24d = 110

d = 110/24

d = 4 (rounded down).

4 < 5, hence the first option is better.

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The scale of measurement that can be either numeric or non-numeric is nominal scale (C).

Nominal scales are used for categorizing or classifying data into groups or categories. These categories can be either numeric or non-numeric, such as gender, race, or political affiliation. It is important to note that nominal scales do not have any inherent order or ranking to them, unlike other scales of measurement like interval or ratio. Therefore, nominal scales are useful for identifying differences between groups, but not for making quantitative comparisons between them.

Ratio scale is a quantitative scale that has a true zero and equal intervals between each neighboring points.

Interval scale is a quantitative scale with order and the different between 2 variables are meaningful and equal. However, the presence of zero is arbitrary.

Quantitative scale measures relationship between variables based using numeric approach. Quantitative scales consist of interval, ration, ordinal, and nominal scale.

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Answer:

Yes,you have to add both of the bases in a triangle  prism to find the volume.

Step-by-step explanation:

took the test.

Answer:

Step-by-step explanation:

Volume of the prism:

You use the area of the base once, multiply it by the height to find the volume

The answer is no.

9514 1404 393

Answer:

  choices A and F are part of Leo's system of equations

Step-by-step explanation:

The formula for the amount in an account compounded annually is ...

  A = P(1 +r)^t

For the given amounts and variables, that is ...

  y = 500(1.025)^x . . . . matches F

__

The formula for the amount in an account compounded continuously is ...

  A = P·e^(rt)

With given values, this is ...

  y = 400e^(0.02x) . . . . matches A

assistant professors on the business faculty at state-supported institutions in Ohio make, on average, between $69,263 and $74,737 for nine months.

In Ohio's state-supported institutions, the

average incom for a sample of assistant professors in the business faculty for nine months is $72,000.

Since the sample size is unknown, it is difficult to draw any definitive conclusions based on this statistic

. However, we can use this mean to estimate the probable range of incomes for assistant professors at these institutions by calculating a confidence interval.For example, if we use a 95 percent confidence level, we can assume that the real average income for assistant professors in the business faculty at Ohio's state-supported institutions falls within a certain range of values

. Based on the sample mean of $72,000 and a standard deviation of $5,000, the 95 percent confidence interval is $69,263 to $74,737. This means that we are 95 percent confident that the real average income for assistant professors falls within this range.The interval reflects the range of values that the true average could fall within, given the uncertainty of the sample data.

Therefore, we can infer that assistant professors on the business faculty at state-supported institutions in Ohio make, on average, between $69,263 and $74,737 for nine months.

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The mean income for sample assistant professors on the business faculty at state-supported institutions in Ohio is $72,000 for 9 months.

Based on the information provided, the mean income for sample assistant professors on the business faculty at state-supported institutions in Ohio is $72,000 for 9 months.

To better understand this, let's break it down step by step:

1. The mean income refers to the average income earned by assistant professors on the business faculty in Ohio.
2. The sample represents a group of assistant professors who were surveyed or studied.
3. The business faculty refers to the department or area of expertise these assistant professors specialize in.
4. State-supported institutions in Ohio are public universities or colleges that receive funding from the state government.
5. The $72,000 represents the average income earned by assistant professors on the business faculty in Ohio over a period of 9 months. It does not include income earned during the summer months.
6. It's important to note that this figure may vary for different individuals based on factors such as experience, qualifications, and position within the faculty.

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Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Perpendicular to y=-3/7 and passes through (2/3,1/2):Finding the equation of a line perpendicular to a given line and passing through a particular point is one of the fundamental topics of analytical geometry. Let's take a look at the steps that are required to solve this problem.

Step 1: Understand the problem The first step in solving any mathematical problem is to understand the problem and the information given. In this case, we're given the equation y=-3/7 and the point (2/3,1/2), and we're asked to find the equation of a line that is perpendicular to the given line and passes through the given point.

Step 2: Find the slope of the given lineTo find the slope of the given line, we need to convert the equation into slope-intercept form (y=mx+b), where m is the slope and b is the y-intercept. y=-3/7x + bTo do this, we must rearrange the equation in terms of y. y= (-3/7)x + bComparing it with y = mx + b format, we have m = -3/7. Therefore, the slope of the given line is -3/7.

Step 3: Find the slope of the perpendicular lineThe slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line. The negative reciprocal of -3/7 is 7/3.

Step 4: Use the point-slope formula to find the equation of the lineThe point-slope formula for a line is y-y1=m(x-x1).We know that the point (2/3,1/2) lies on the line. Therefore, x1=2/3 and y1=1/2.Substituting these values, we get: y - 1/2 = 7/3(x - 2/3)Multiplying through by 3, we get: 3y - 3/2 = 7x - 14/3Rearranging, we get: 7x - 3y = 8/3Therefore, the equation of the line that is perpendicular to y=-3/7 and passes through (2/3,1/2) is 7x - 3y = 8/3.

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Answer:

The answer is D,

Step-by-step explanation:

I can't really explain it since it's on a graph, but for negatives the more left, the higher it goes and if you count D, it's on -0.415

Answer:

c

Step-by-step explanation:

The correct answer is A. line. A line is a straight path that extends infinitely in both directions. It has no endpoints and continues indefinitely.

A line is a basic geometric object that is defined by two points or can be represented by a single equation. It is characterized by its straightness and infinite length, extending in both directions without any boundaries or endpoints. A line can be represented by a straight line segment with two distinct points or by an equation such as y = mx + b in a coordinate system.

On the other hand, a plane refers to a two-dimensional flat surface that extends infinitely in all directions. It is not a straight path but rather a flat, continuous surface. A ray, is a part of a line that has one endpoint and extends infinitely in one direction. It is not a straight path that continues indefinitely in both directions like a line.

A triangle is a closed geometric shape with three sides and three angles. It is not a straight path but rather a closed figure formed by connecting three non-collinear points.Therefore ,the correct answer is A.

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