Evaluate the expression below for x = 2, y = -3, and z = -1.
x?2? - y? (x +z)
A. -23
B. -5
C 13
D
27
Please select the best answer from the choices provided
Ο Α
ОВ
ОС
OD

A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

The steps for constructing a copy of an angle:

Step 1: Draw the angle.

Step 2: Place the center of the protractor on the vertex of the angle.

Step 3: Line up the baseline of the protractor with one of the angle's rays.

Step 4: Read the degree measure where the other ray crosses the protractor.

Step 5: Draw a ray from the vertex of the angle to the right.

Step 6: Use a ruler to mark the same distance on the ray that was just drawn.

Step 7: Draw a ray from the vertex through the point just marked on the ray.

This is the copy of the angle's second ray.

Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.

Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.

Step 10: Draw a ray from the vertex through the point where the two arcs intersect.

This is the copy of the original angle.

Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the

compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.

Draws another arc that intersects the previous arc at a point without adjusting the compass.

Draw a second arc that intersects the first arc at another point, keeping the compass latitude.

Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

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Answer:

The measure of CD is 46

Step-by-step explanation:

From the midpoint theorem, we have,

FG = (1/2)CD

so,

\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)

Now,

\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)

Answer:

.

Step-by-step explanation:

Answer:

0.0025

Step-by-step explanation:

In the class, Lucy's score is 6.

In statistics, the median is the middle value in a sorted, ascending or descending list of numbers. Thus, it represents the midpoint of the data.

The median is often compared with other descriptive statistics such as the mean (average), mode, and standard deviation.

Since Lucy is one of the 29 students in the class and her score was the same as the median score for her class.

Thus, the median score will be 15th score (i.e. the midpoint of 29). Using the frequency in of each score from the figure, let's keep adding the frequency until we reach 15 and we will then check the corresponding score at the 15th position:

2 + 2 + 4 + 7 = 15

Thus, the the corresponding score at the 15th position is 6.

Therefore, the median score is 6 and consequently Lucy's score is 6.

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Answer: The line x = 4 is a vertical line passing through the point (4, y) for any y value. Since a vertical line has an undefined slope, any line that is parallel to it must also be vertical.

Therefore, the equation for the line that is parallel to x = 4 and passes through the point (3,-2) is simply x = 3.

Step-by-step explanation:

we have the next information

24 dinner tables

each has 8 chairs

First we need to calculate 3/4 of the tables

24 mesas ----- 4/4=1

x ----- 3/4

x = the number of tabl

Answer:

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

Find the composition of the functions f(x) and g(x), which is written as f(g(x)).

Given functions:

Find f(g(x)):

Evaluate f(g(2)):

So, (f·g)(2) = 14.

Answer:

7 / 2, or 3.5 is between 3 and 4.

28 / 5, or 5.6 is between 5 and 6

9/4, or 2.25, is between 2 and 3.

28 / 5, or 4.6, is between 4 and 5.

Step-by-step explanation:

To multiply a whole number by a fraction, the actual way to do it is to make the non-fraction over one. So, for example, if we were to do this:

2 * (1/2)

Set 2 as 2/1 (because they are equal)

(2/1) * (1/2)

Then, multiply the numerators together and denominators together.

= 1

But, we can also save time and multiply the non-fraction with the fraction's numerator.

2 * (1/2) =

(2 * 1) / 2 =

2 / 2 =

1

Let's apply this to the problems we have.

7) 5 * (7/10)

Multiply 5 and 7.

(5 * 7) / 10 = 35 / 10 = 7 / 2

This is the answer (unless you want it even more simplified, which would either be 3 and 1/2, or 3.5). However to find what numbers it is between, simplify it further.

7/2 = 3.5

7 / 2, or 3.5 is between 3 and 4.

8) 7 * (8/10)

Multiply 7 and 8.

(7 * 8) / 10 = 56 / 10 = 28/5 = 5.6

28 / 5, or 5.6 is between 5 and 6

9) 3 * (3/4)

Multiply 3 and 3.

(3 * 3) / 4 = 9 / 4 = 2.25

9/4, or 2.25, is between 2 and 3.

10) 6 * (4/5)

Multiply 6 and 4.

(6 * 4) / 5 = 23 / 5 = 4.6

28 / 5, or 4.6, is between 4 and 5.

I hope this helps! Feel free to ask any questions!

The inverse of the conditional "If t<5, then t>6" is "If t≥5, then t≤6"  is not always true but true for some values of t.

An expression, rule, or law that defines a relationship between one variable and another variable.

Let's first consider the original statement: "If t<5, then t>6."

This statement is saying that if t is less than 5, then it must be greater than 6, which is impossible since no number can be less than 5 and greater than 6 at the same time.

So the original statement is always false, no matter what value of t we choose.

So, the inverse of "If t<5, then t>6" is "If t≥5, then t≤6".

This statement is saying that if t is greater than or equal to 5, then it must be less than or equal to 6.

This statement is true for any value of t that is greater than or equal to 5 and less than or equal to 6.

Hence, the inverse of the conditional "If t<5, then t>6" is "If t≥5, then t≤6"  is not always true but true for some values of t.

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Step-by-step explanation:

domain: x-values

range: y-values

Graph 8:

domain: -2 ≤ x ≤ 4 (the lowest x-value is -2 and the highest is 4)

range: 0 ≤ y ≤ 6 (the lowest y-value is 0 and the highest is 6)

Graph 9:

domain: -∞ ≤ x ≤ 0 (the lowest x-value is negative infinity and the highest is 0)

range: -∞ ≤ y ≤ 0 (the lowest y-value is negative infinity and the highest is 0)

Answer:

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (3, 7) and (x₂, y₂ ) = (5, 3)

m = \(\frac{3-7}{5-3}\) = \(\frac{-4}{2}\) = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 7), then

7 = - 6 + c ⇒ c = 7 + 6 = 13

y = - 2x + 13 ← equation of line

Answer:

x=5

Step-by-step explanation:

7^x-3=49

x-3=2

x=5

Use the Distributive Property, which states the following:-

a(b+c)\(\rightarrow\)ab+ac

Simplify:-

3(y+4)-7

3y+12-7

Combine Like terms:-

\(\sf{3y+5}\)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

The equation that would produce the given graph is;

Explanation:

Given the graph in the attached image;

The graph shows an exponential function of the form;

From the shape of the graph, we can observe that the value of the coefficient a is less than 1;

Therefore, the equation that would produce the given graph is;

Answer:

To locate the number 8 and its opposite on the number line, we can use the given number line:

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑ ↑

So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.

Now, let's address exercises 2-3:

a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

So, the opposites of the given numbers are:

9 → -9

-2 → 2

4 → -4

They are related to zero as equal distances on opposite sides of zero on the number line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

let length be x

ATQ

\(\\ \sf\longmapsto \dfrac{2}{8}\times x=28\)

\(\\ \sf\longmapsto \dfrac{2x}{8}=28\)

\(\\ \sf\longmapsto \dfrac{x}{4}=28\)

\(\\ \sf\longmapsto x=4(28)\)

\(\\ \sf\longmapsto x=112\)

Answer:

Step-by-step explanation:

What number is 15% of 43?

6.45, or 6 if u round to the nearest whole number

43% of 300 is what number?

129

12% of what number is 43?

359

43 is what percent of 106?

40.6% or 41% when rounded

What percent of 43 is 6?

14%

The answers of questions which includes the quantity 43 is 6.45 ,  129 , 5.16 , 40.56 % and 13.95%  respectively .

The symbol (%) is used to denote percentage. Similarly, percentage is sometimes denoted by an abbreviation 'pct. ' For example, we can express 50 percent as 50% or 50 pct. Percentages are written inform whole numbers, fractions or decimals. For example, 4%, 75%, 0.6%, 0.25%, 3/5% etc.

According to the question

Each question includes the quantity 43 .

A. Number that is 15% of 43 :

15% of 43

= \(\frac{15}{100} * 43\)

= 6.45

B. 43% of 300 is what number

43% of 300

= \(\frac{43}{100} * 300\)

= 43 * 3

= 129

C. 12% of what number is 43?

12% of 43

= \(\frac{12}{100} * 43\)

= 5.16

D. 43 is what percent of 106?

Let percent be x

i.e

106 * x% = 43

\(1.06x = 43\)

x = 40.56%

E. What percent of 43 is 6?

Let percent be x

i.e

43 * x% = 6

0.43x = 6

x = 13.95 %

Hence, The answers of questions which includes the quantity 43 is 6.45 ,  129 , 5.16 , 40.56 % and 13.95%  respectively .

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Answer:

m=0

Step-by-step explanation:

the slope is calculated using two points on the line and the formula

m = (y2 - y1) ÷ (x2 - x1)

where

x1 and y1 are the coordinates of point 1

x2 and y2 are the coordinates of point 2

for example, you can take

point 1 = (x1;y1) = (-2;3)

point 2 = (x2;y2) = (-1;3)

then your slope is

m = (3 - 3) ÷ (-1 - (-2)) = 0

notice that x1 is always at the left of x2 on the x axis

and it makes sense that your slope is 0 because for each x your y is the same

Answer:

See attached image

Step-by-step explanation:

We can easily graph the equation if we know it’s y and x intercepts. We can plot these points on a coordinate plane then connect them using a ruler, then extend these further.

Mathematically, we can find the slope which is rise over run. Every time x increases by 5, y increases by 6. This means the slope is \(\frac{6}{5}\). We also know the y-intercept is -6, so the equation is \(y=\frac{6}{5}x - 6\).

Hope this helped!

The requried, local minimum and maxium for the given function is √2 and -√2.

We need to find the local maximum and local minimum of the function \(f(x) = 2x + 4x^{(-1)}.\)

First, we find the derivative of f(x):

\(f'(x) = 2 - 4x^{(-2)} = 2 - 4/x^2\)

Setting f'(x) = 0 to find the critical points:

\(2 - 4/x^2 = 0\)

Solving for x, we get:

x = ±√2

To determine whether these critical points are local maxima or minima, we need to examine the sign of the second derivative:

\(f''(x) = 8x^{(-3)}\)

When x = √2, f''(√2) = 8/(√2)³ = 8√2 > 0, so x = √2 is a local minimum.

When x = -√2, f''(-√2) = 8/(-√2)³ = -8√2 < 0, so x = -√2 is a local maximum.

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Answer:

(C) Multiply first equation by -2 and second equation by 3, solution (1, 1)

Step-by-step explanation:

Simultaneous equations are set of equations which possess a common solution. The equations can be solved by eliminating one of the unknowns by multiplying each of the equations in a way that a common coefficient is obtained in the unknown to be eliminated.

Given the simultaneous equations:

3x - 5y = -2

2x + y = 3

First step:

Multiply first equation by -2 and multiply second equation by 3,

-6x + 10y = 4

6x + 3y = 9

Second step:

Add the two equations together,

13y = 13

Divide both sides by 13

y = 1

Third step:

Put y = 1 in the first equation

3x - 5(1) = -2

3x - 5 = -2

3x = 5 - 2

3x = 3

Divide both sides by 3:

x = 1

solution (x,y) = (1,1)

Option C

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Hi ;-)

\(3x(2x-3)=3x\cdot2x-3x\cdot3=\\\\=\boxed{6x^2-9x}=\boxed{-9x+6x^2}\)

\(3x(2x - 3) = 3x2x - 3x3 \\ = 6 {x}^{2} - 9x \\ thank \: you\)

If Samuel ran for 30 minutes covering 4.5 miles, swim for 20 minutes covering 2/3 miles and biked for 45 min covering 9 miles, then the Samuel's average speed during his morning training is 0.15 miles per minute

The Morning activities of Samuel

He ran for 30 minutes, covering 4.5 miles,

He swim for 20 minutes covering 2/3 miles

He biked for 45 minutes covering 9 miles

Total distance travelled = 4.5+ 2/3 +9

= 14.17 miles

Total time taken = 30+20+45

= 95 minutes

The average speed = Total distance / Total time taken

= 14.17/95

= 0.15 miles per minutes

Hence, if Samuel ran for 30 minutes covering 4.5 miles, swim for 20 minutes covering 2/3 miles and biked for 45 min covering 9 miles, then the Samuel's average speed during his morning training is 0.15 miles per minute

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The monthly cost C expressed in terms of minutes of call is: C=19.5+0.16x

The monthly cost if you make 367 minutes of call is $78.22

How the monthly cost modeled?

The monthly cost is modeled using the straight-line equation which comprises of the monthly access fee, which is the fixed charge and the variable charge per minute of $0.16

C=19.5+0.16x

x is the number of minutes of call time

monthly cost when x is 367 minutes

monthly cost=19.5+(0.16*367)

monthly cost=19.5+58.72

monthly cost=$78.22

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Answer:

232.96$

Step-by-step explanation: