Evaluate f(-2): SHOW ALL WORK
f(x) = 3/2x -4?

Answer:

270 KM

Step-by-step explanation:

180 divided by 2= 90

90*3= 270

Answer:

40%

Step-by-step explanation:

3/5 are small so we have to find 2/5 which is 40%

2/5=x/100

cross multiply

you'll get: 5x=200

divide and thats how u get 40 %

Answer:

a = 12

Step-by-step explanation:

∠OPQ is a right angle.

[tex]5^{2} + a^{2} = 13^{2} \\25 + a^{2} = 169\\a^{2} = 144\\a = 12[/tex]

Here are the ways that you can find an equivalent fraction:

Multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction. Only divide when the top and bottom stay as whole numbers.

Answer:

You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction.

Step-by-step explanation:

Answer:

Niamh gets 8 and Jack gets 20

Step-by-step explanation:

Answer:

Niamh gets 8 and Jack gets 20!

Answer:

(2x + 15)° = 180°

2x = 180 - 15

2x = 165

x = 165/2

x = 82.5

Answer:

[tex]x[/tex]-intercepts at [tex](1,0)[/tex] and [tex](0.8,0)[/tex]

Step-by-step explanation:

A quadratic in the form [tex]ax^2+bx+c=y[/tex] crosses the [tex]x[/tex]-axis when [tex]y=0[/tex].

The first step is replacing [tex]f(x)[/tex] with [tex]y[/tex].

So: [tex]y= -5x^2+9x-4[/tex]. With the information above, we can find the [tex]x[/tex] intercepts by setting [tex]y = 0[/tex].

Therefore [tex]0=-5x^2+9x-4[/tex].

Now we can use the quadratic formula because it is in the form [tex]ax^2+bx+c=0[/tex].

Note the quadratic formula: [tex]\frac{-b\frac{+}{-}\sqrt{b^2-4ac} }{2a } = x[/tex].

To find the values of [tex]a[/tex],[tex]b[/tex] and [tex]c[/tex] we can compare the equation to the general equation.

Therefore: [tex]a=-5[/tex], [tex]b=9[/tex] and [tex]c=-4[/tex].

Now put these values into the quadratic formula:

[tex]\frac{-9\frac{+}{-}\sqrt{(9)^2-4(-5)(-4)} }{2(-5) } = x[/tex]

And simplify:

[tex]\frac{-9\frac{+}{-}\sqrt{81-80} }{-10 }[/tex] , [tex]\frac{-9\frac{+}{-}\sqrt{1} }{-10 }[/tex].

[tex]\sqrt{1} =1[/tex], therefore [tex]x = \frac{-9\frac{+}{-}1 }{-10 }[/tex]

Now we can have two values for [tex]x[/tex]. One when we take away the discriminant ([tex]b^2-4ac[/tex]) and one when we add it.

So [tex]x = \frac{-10}{-10} = 1[/tex]

or

[tex]x = \frac{-8}{-10} = 0.8[/tex]

Therefore [tex]x[/tex]-intercepts at [tex](1,0)[/tex] and [tex](0.8,0)[/tex]

Answer:

1=  0.109

2= 3.46

3 = -(minus)1.24

Step-by-step explanation:

Answer:

See answers below.

Step-by-step explanation:

All of these use the same idea: multiply numerator and denominator by the conjugate radical (an identical expression but with the sign between terms changed).

[tex]\frac{1}{13-\sqrt{15}}\cdot\frac{13+\sqrt{15}}{13+\sqrt{15}}=\frac{13+\sqrt{15}}{169-15}}\\\\=\frac{13+\sqrt{15}}{154}[/tex]

[tex]\frac{1}{\sqrt{13}-\sqrt{11}} \cdot \frac{\sqrt{13}+\sqrt{11}}{\sqrt{13}+\sqrt{11}}=\frac{\sqrt{13}+\sqrt{11}}{13-11}\\\\=\frac{\sqrt{13}+\sqrt{11}}{2}[/tex]

[tex]\frac{1}{\sqrt{21}+\sqrt{29}}\cdot\frac{\sqrt{21}+\sqrt{29}}{\sqrt{21}+\sqrt{29}}=\frac{\sqrt{21}+\sqrt{29}}{21-29}\\\\=\frac{\sqrt{21}+\sqrt{29}}{-8}[/tex]

Note:  Here's an example of what happens when you multiply conjugate radicals.

[tex](\sqrt{13}-\sqrt{11}})(\sqrt{13}+\sqrt{11})=13-\sqrt{11}\sqrt{13}+\sqrt{13}\sqrt{11}-11=13-11[/tex]

When you FOIL those binomials, the square roots go away!

Answer:54

Step-by-step explanation: 2*3*9=54

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

Explanation:

We're told that "The black trapezoid is a dilation of the green trapezoid". This means the black trapezoid is the image, while the green one is the preimage. In other words, the green is the "before" and the black is the "after". The mapping is [tex]\text{green} \to \text{black}[/tex] because of the ordering [tex]\text{preimage} \to \text{image}[/tex]

Since the green figure (preimage) is larger than the black figure (image), the scale factor must be some value k such that 0 < k < 1. That narrows the answer choices between A and B.

Focus on the green trapezoid. The bottom left corner is at (-10,0). The bottom right corner is at (5,0). The distance between these two points is 15 units.

Using the same idea, the distance along the bottom edge of the black trapezoid is 3 units. We can count out the spaces along the bottom, or we can note the two bottom corners are at (-2,0) and (1,0).

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

So far we found:

These two edges correspond to one another. We divide the values to get the scale factor. We divide the image length over its corresponding preimage length.

scale factor = (image length)/(preimage length)

scale factor = 3/15

scale factor = 1/5

Answer:

Side Length AB = 22

Side Length CB = 35.21

Side Length = 41.52

Angle A = 58°

Angle B = 90°

Angle C = 32°

Step-by-step explanation:

Tan(32) = 22 / CB

Tan(32) * CB = 22

CB = 22 / Tan(32)

CB = 35.21

22² + 35.21² = AC²

484 + 1239.74 = AC²

1723.74 = AC²

[tex]\sqrt{1723.74}[/tex] = AC

41.52 = AC

Angle A + Angle B + Angle C = 180°

Angle A + 32° + 90° = 180

Angle A + 122 = 180

Angle A = 180 - 122

Angle A = 58°

Hope this helps!

Answer:

Sine Rule will apply here too

22/Sin32° = AC/sin90

AC = 22sin90/sin32

AC=41.52(To the nearest 100th)

Angles in a triangle =180

Angle A = 180 - 90 - 32

Angel A = 58°

BC/Sin58 = 22/sin32

BC = 22sin58/sin32

BC=35.21 (Nearest 100th).

Have a great day!

Answer:

One investor should make ABOUT $28714.29 while the other will make about $38285.71

Step-by-step explanation:

67000 x 3/7 =28714.285...

67000 x 4/7 = 38285.714....

Answer:

Its A for the function that represents the geomertric sequence

Answer:

28 of the student do not snowboard

Step-by-step explanation:

Answer:

604

Step-by-step explanation:

I did the math

Answer:

11

Step-by-step explanation:

all u need to do is to cube root 1331, because it is a cube. hope i helped.

Answer:

14.18

Step-by-step explanation:

3.2*4.9= 15.68

15.68 -1.5 = 14.18

Answer:

WY = 8

Step-by-step explanation:

We solve for above question using the Trigonometric function of Sine

sin θ = Opposite/Hypotenuse

Opposite = WY = x

Hypotenuse = 9

θ = 63°

Hence,

sin 63° = x/9

Cross Multiply

x = sin 63° × 9

x = 8.0190587177

Approximately x = 8

Therefore, WY = 8

Answer:

37 ft

Step-by-step explanation:

The ladder forms a right triangle as it elan's against the wall of the boat house.

Thus, the length of the ladder can be determined using Pythagorean theorem.

c² = a² + b²

c = length of ladder

a = 35 ft

b = 12 ft

Plug in the values

c² = 35² + 12²

c² = 1,225 + 144

c² = 1,369

c = √1,369

c = 37

Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft

Answer:

pi*36*10 = 1131 cubic feet

Step-by-step explanation:

MARK AS BRAINLEST!!

Step-by-step explanation:

pi*36*10= 1131 cubic feet

Answer:

6

Step-by-step explanation:

3 divided by 1/2 = 6

2 hambugers = 1 pound

Answer:

[tex]16[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 8x + c[/tex]

[tex] {x}^{2} + c - 8x[/tex]

To find the c value [tex]c = ( \frac{b}{2})^{2} [/tex] , divide the coefficient of x by 2 and square the result.

[tex]( - 1 \times 4 {)}^{2} [/tex]

[tex]( - 4 {)}^{2} [/tex]

[tex]16[/tex]

Answer:

2 cm

Step-by-step explanation:

V=πr2h = 20π

-π                -π

r2h = 20

h= 5

r2(5) = 20

/5         /5

r2=4

/2  /2

r=2cm

(my work is complicated, but trust me 2 cm is the answer)  

Answer:

The  median of the distribution is (first option);

1

Step-by-step explanation:

The values on the given table are presented as follows;

[tex]\begin{array}{cccccc}Value \ of \ Spin&0&1&2&5&10\\Probability&0.4&0.2&0.2&0.1&0.1\end{array}[/tex]

To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;

Cumulative probability, starting from the left, is therefore;

Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6

Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1

The median value of the distribution of X is 1

The cumulative probability of the distribution is:

[tex]\sum E(x) = 1[/tex]

The median position is calculated as:

[tex]Median = \frac{\sum E(x)}{2}[/tex]

This gives

[tex]Median = \frac{1}{2}[/tex]

Median = 0.5 th

This mean that the median is at the 0.5th position

The value of the spin at the 0.5th position is 1

Hence, the median value of the distribution of X is 1

Read more about median at:

https://brainly.com/question/14532771

#SPJ2

Answer:

0.75≠100.4

Step-by-step explanation:

Answer:

radius: 78 height: 92

im so sorry if im wrong! i did math and everything!

Assume the radius is 5 and the height is 4.

We first need to find the volume of both the TP roll and the volume of the closet.

In order to find the volume of the TP roll, we need to use the formula [tex]V[/tex] = [tex]\pi[/tex][tex]r^{2}[/tex][tex]h[/tex] (r meaning radius and h meaning height), so that means we have to do 3.14 × 5 × 5 × 4.

After solving, we get 314 as our answer.

Next we need to find the Volume of the closet by using the formula L × W × H (L meaning Length, W meaning Width, and H meaning height), so that means we have to do 36 × 108 × 36.

We then get 139,968 as our answer.

The last thing we need to do is 139,968 ÷ 314.

The answer we get is 445.

So the answer to this question is: About 445 rolls of TP can fit into the closet.

Answer:

Hi

Good

I think its the second but i'm not sure because there are no measurements

Good luck

Answer:

8759.78

Step-by-step explanation:

cause by the end of the 10 years he would have 48759.77 minus that by 40,000 you would get 8759.78

Approximately how much money will he make over 10 years is $8,759.78.

Using this formula

Amount=[Principal(1+rate)^t]- Principal

Where:

Principal=$40,000

Rate=2%

Time=10 years

Let plug in the formula

Amount=[$40,000×(1+0.02)^10]-$40,000

Amount=[$40,000×(1.02)^10]-$40,000

Amount=$48.759.776-$40,000

Amount=$8,759.776

Amount=$8,759.78 (Approximately)

Inconclusion approximately how much money will he make over 10 years is $8,759.78.

Learn more here:

https://brainly.com/question/7603664

Answer:

13/14

Step-by-step explanation:

3/7 x 2/2 = 6/14

1/2 x 7/7 = 7/14

6/14 + 7/14 = 13/14

Answer:

1/14

Step-by-step explanation: