Graph the relation shown in the table. Is the relation a function? Why or why not?

The distance between points W and X is exactly 5 units.

To know this, we need to see between which pair of two points we have 5 units.

By looking at the number line, we can see that the pair of points that is 5 units apart is W and X.

We have:

Taking the difference, we get: X - W = -3 - (-8) = 5

If you want to learn more about distances:

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Answer:

117.33333 feet per second

Step-by-step explanation:

Answer:

64 = 2^6

Step-by-step explanation:

The conversion method for log is:

log (b) a = x

then you rearrange it into:

a = b^x

(these are all variables, so you can insert the numbers)

Answer: x = 24

Step-by-step explanation:

There are two triangles here; all angles in a triangle add up to 180, so in the first triangle we have two angles.

We add 94 and 41 together, and this gives us 135.

Now, we find the third angle of this triangle and the angle of the inner triangle by doing 180 - 135.

This gives us 45, and now we can calculate for x using the same method we used above.

111 + 45 = 156

180 - 156 = 24

Thus, x is equal to 24 degrees.

[tex]\huge{\sf \left[{x-2y\atop 6x-2z}\:\:\:{4y-3\atop 2y-z}\right]=\left[{-3\atop 4}\:\:\:{5\atop 3}\right]}[/tex]

Creating equations

[tex]\\ \sf\longmapsto x-2y=-3\dots(1)[/tex]

[tex]\\ \sf\longmapsto 4y-3=5\dots(2)[/tex]

[tex]\\ \sf\longmapsto 6x-2z=4\dots(3)[/tex]

[tex]\\ \sf\longmapsto 2y-z=3\dots(3)[/tex]

[tex]\\ \sf\longmapsto 4y-3=5[/tex]

[tex]\\ \sf\longmapsto 4y=5+3[/tex]

[tex]\\ \sf\longmapsto 4y=8[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{8}{4}[/tex]

[tex]\\ \bf\longmapsto y=2[/tex]

[tex]\\ \sf\longmapsto x-2y=-3[/tex]

[tex]\\ \sf\longmapsto x=-3+2y[/tex]

[tex]\\ \sf\longmapsto x=-3+2(2)[/tex]

[tex]\\ \sf\longmapsto x=-3+4[/tex]

[tex]\\ \bf\longmapsto x=1[/tex]

[tex]\\ \sf\longmapsto 2y-z=3[/tex]

[tex]\\ \sf\longmapsto z=2y-3[/tex]

[tex]\\ \sf\longmapsto z=2(2)-3[/tex]

[tex]\\ \sf\longmapsto z=4-3[/tex]

[tex]\\ \bf\longmapsto z=1[/tex]

Answer: I believe the answer to your question is 4

Step-by-step explanation:

Let's check

a be positive tiles and b be negative tiles

Sum

Answer:

I'm pretty sure it is 3 hours.

Step-by-step explanation:

Well, when you add 9 plus 6, you get 15. Then you divie 45 by 15, which gives you three. Hope this helps. Good luck :D

Answer:

A

Step-by-step explanation:

The tangent- tangent angle x is half the difference of the measures of the intercepted arcs.

minor arc = 360° - 254° = 106° , then

x = [tex]\frac{1}{2}[/tex] (254 - 106)° = [tex]\frac{1}{2}[/tex] × 148° = 74° → A

The value of angle x will be 74°. Then the correct option is A.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

We know that the sum of the minor arc and major arc made by a tangent in a circle will be 360 degrees.

Then the measure of the minor arc will be

⇒ 360° - 254°

⇒ 106°

We know that the angle made by the tangent is half of the major arc to the minor arc.

x = (254° - 106°) / 2

x = 148° / 2

x = 74°

The value of angle x will be 74°.

Then the correct option is A.

More about the circle link is given below.

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Answer:

21.28 and 967.46

Hope it helps have a good night :)))))))))))))))))

Answer:

A

Step-by-step explanation:

for it to be a function every x value must have at most 1 y value, therefore it is option A as this requirement is met

Answer:

(B) 3

Step-by-step explanation:

Remember that a parallel lines always have the same slope!

[tex]\begin{gathered} {\underline{\boxed{ \rm {\red{Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: base \: \times \: height }}}}}\end{gathered}[/tex]

[tex] \rm \large \longrightarrow \: Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: 9.6 \:in \: \times \: 3.9 \: in[/tex]

[tex] \rm \large \longrightarrow \: Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: 37.44 \: {inches}^{2} [/tex]

[tex] \rm \large \longrightarrow \: Area \: of \: triangle \: = \: \frac{1}{ \cancel2} \: \times \: \cancel{37.44} \: {inches}^{2} \: \: ^{\bf{\red{ 18.72 \: {inches}^{2} }}} [/tex]

[tex] \rm \large \longrightarrow \: Area \: of \: triangle \: = \: 18.72 \: {inches}^{2} [/tex]

Answer:

Does the answer help you?

Answer:

36 cm³

Step-by-step explanation:

Volume of R1 :

length = 5 cm

Width = 2 cm

Height = 2 cm

Volume = 5 * 2 * 2 = 20 cm³

Volume of R2:

length = 4 cm

Width = 2 cm

Height = 2 cm

Volume = 4 * 2 * 2 = 16 cm³

Volume of the figure = 20 + 16 = 36 cm³

Answer:

She used 1/8 or 12.5% more flour than sugar

Step-by-step explanation:

flour: 5/8

sugar: 1/2 = 4/8

[tex]\frac{5}{8} - \frac{4}{8} = \frac{1} {8} = 0.125[/tex]

0.125 = 12.5%

Answer:

5

(40+24)=64

64÷8=8

(2^2-1)=3

8-3=5

Answer:

∠ RQP or ∠ PQR

Step-by-step explanation:

When naming the angle the vertex always goes in the middle of the 2 legs

Answer:

∠Q

∠RQP

∠PQR

Step-by-step explanation:

Brainliest, please!

Answer:

If you like my answer than please mark me brainliest

Answer:

A. Average

Step-by-step explanation:

The mean is when we take the sum of all the numbers, and divide it by the total amount, giving us the average value of the group.

Answer:

Average

Step-by-step explanation:

It is average because ,the total number of tally is divided by the number of people or item

Answer:

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

5/15,20,25

3,4,5

5*4*3*5

300

Answer:

a = sqrt(7)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

a^2 +3^2 = 4^2

a^2 +9 = 16

a^2 = 16-9

a^2 = 7

Taking the square root

a = sqrt(7)

Answer:

18. [tex] x = 8 [/tex]

19. [tex] c = 9 [/tex]

20. [tex] d = \sqrt{10} [/tex]

21. 83 1/3 ft

22.

a. decay

b. growth

c. decay

Step-by-step explanation:

18.

[tex] \sqrt{x + 1} + 12 + 10 = 25 [/tex]

[tex[ \sqrt{x + 1} = 3 [/tex]

Square both sides.

[tex] x + 1 = 9 [/tex]

[tex] x = 8 [/tex]

19.

[tex] a^2 + b^2 = c^2 [/tex]

[tex] (\sqrt{75})^2 + (\sqrt{6})^2 = c^2 [/tex]

[tex] 75 + 6 = c^2 [/tex]

[tex] 81 = c^2 [/tex]

[tex] c = 9 [/tex]

20.

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] d = \sqrt{(3 - 4)^2 + (-9 - (-6))^2} [/tex]

[tex] d = \sqrt{(-1)^2 + (-3)^2} [/tex]

[tex] d = \sqrt{1 + 9} [/tex]

[tex] d = \sqrt{10} [/tex]

21.

Max: 5 ft tall; 3 ft shadow

Building: x ft tall; 50 ft shadow

5 ft is to 3 ft as x ft is to 50 ft

5/3 = x/50

3x = 250

x = 250/3

x = 83 1/3

Answer: 83 1/3 ft

22.

Exponential function:

y = a(b)^x

b is the number in parentheses raised to exponent x.

If b > 1, it is growth.

If b is between 0 and 1, it is decay.

Look at each case.

a. 0.85 is between 0 and 1: decay

b. 1.025 > 1: growth

c. 0.682 is between 0 and 1: decay

Answer:

i think its 58,660

Step-by-step explanation:

Answer:

58,660

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let Freda's sum = x

Donnie has 3/4 x

He spends 63 dollars. His sum is now

3/4x - 63

Now the equation looks like this

6(3/4x - 63) = x            Remove the brackets

6*3/4 x - 378 =x

6 * 3/4 = 4 1/2

4 1/2 x - 378 = x           Add 378 to both sides

4 1/2 x = x + 378          Subtract x from both sides

3.5 x = 378                  Divide by 3.5

x = 378 /3.5

x = 108

Since x = 108, that's how much Freda had. (She spent nothing).

Part (a)

Since we want segment AT to be an altitude, this means that point A is somewhere on segment RI such that angle TAI is 90 degrees. In other words, segments AT and RI are perpendicular. Check out the diagram below.

We'll need to find the slope of line RI, so we'll need the slope formula

R = (x1,y1) = (-2,-2)

I = (x2,y2) = (4,1)

m = slope of line RI

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

m = (1-(-2))/(4-(-2))

m = (1+2)/(4+2)

m = 3/6

m = 1/2

m = 0.5

The slope of line RI is 1/2 or 0.5

Now let's use point R(-2,-2) along with that slope we just found to find the equation of line RI.

Turn to point slope form

y - y1 = m(x - x1)

y - (-2) = 0.5(x -(-2))

y + 2 = 0.5(x + 2)

y + 2 = 0.5x + 1

y = 0.5x + 1 - 2

y = 0.5x - 1

This is the equation of line RI. We'll use it later.

----------

We found that the slope of line RI was 1/2.

The negative reciprocal involves us flipping the fraction and flipping the sign to get -2/1 or simply -2.

The perpendicular slope is -2. This is the slope of altitude AT.

We want line AT to go through T(-2,4), so we'll use this point along with the perpendicular slope we just found to calculate the equation of line AT.

We'll turn to the point slope form

y - y1 = m(x - x1)

y - 4 = -2(x - (-2))

y - 4 = -2(x + 2)

y - 4 = -2x - 4

y = -2x - 4 + 4

y = -2x

The equation of the line that goes through points A and T is y = -2x.

----------

To summarize so far, we have these two equations

Apply substitution to solve for (x,y) to find the intersection point. This will determine where point A is located.

y = 0.5x - 1

-2x = 0.5x - 1

-2x-0.5x = -1

-2.5x = -1

x = -1/(-2.5)

x = 0.4

Then we can determine y like so

y = -2x

y = -2(0.4)

y = -0.8

Therefore, point A is located at (0.4, -0.8). Both coordinate values are exact. In fraction form, we can say that the point is (2/5, -4/5), but I find decimals easier to work with in this instance.

===============================================================

Part (b)

To find the length of segment AT, we can find the distance from A to T. As you can probably guess, we'll use the distance formula.

A = (x1,y1) = (0.4, -0.8) ... found back in part (a)

T = (x2,y2) = (-2, 4) ... given

[tex]d = \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2 }\\\\d = \sqrt{ (-2-0.4)^2+(4 - (-0.8))^2 }\\\\d = \sqrt{ (-2-0.4)^2+(4 + 0.8)^2 }\\\\d = \sqrt{ (-2.4)^2+(4.8)^2 }\\\\d = \sqrt{ 5.76+23.04 }\\\\d = \sqrt{ 28.8 }\\\\d \approx 5.36656\\\\d \approx 5.37\\\\[/tex]

The distance from point A to point T is approximately 5.37 units. This means that segment AT is roughly 5.37 units long.

Answer:

3.61%

Step-by-step explanation:

Mathematics, calculator

Answer:

Step-by-step explanation:

If we are looking for the probability that the battery lasts between 7 and 8 years, we find the z-score for the probability that it lasts less than 8 years, and then subtract from it the z-score for the probability that it lasts less than 7 years. This subtraction will give you what's left: the span in between 7 and 8 years. To find the z-score:

[tex]z=\frac{x_i-\mu}{\sigma}[/tex] Therefore,

P(x < 8) has a z-score of

[tex]z=\frac{8-5}{1.2}=1.667[/tex] The p-value that accompanies this z-score is .99379 (which translates to 99.379% of the data falling below 8 years) and

P(x < 7) has a z-score of

[tex]z=\frac{7-5}{1.2}=2.5[/tex] The p-value that accompanies this z-score is .95224 (which translates to 95.224% of the data falling below 7 years).

Subtract the p-value of 2.5 from the p-value of 1.667 to get

.99379 - .95224 = .04155 = 4.16%, choice A.

Answer:

-7α + 28 = 7

-7α + 28 - 28 = 7 - 28

-7α = -21

α = -21/-7

α = 3

Answer:

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

Is means equals and of means multiply

90 = 30% *n

90 = .3n

Divide each side by .3

90/.3 = n

300 = n