75. Write an equivalent expression to 1/4 (24x + 7-12x).

Answer

cos(θ) = –313√(13)

Step-by-step explanation:

There is a rule we are to establish first to get the answer right.

If the terminal side of an angle θ in standard position intersects a unit circle A(x, y), then cos(θ) = x and sin(θ) = y.

Therefore, given that the terminal side of angle θ goes through the point (−313√13,−213√13) on the unit circle:

cos(θ) = –313√(13)

Answer: 49π inches²

Step-by-step explanation:

The formula for the circumference of a circle = 2πr

Since the circumference is 14π, we have to find the radius in order to solve the area.

2πr = 14π

r = 14π/2π

r = 7

Since area = πr²

= π × 7 × 7

= 49π inches²

Answer:

[tex]x^{-2}[/tex]

Step-by-step explanation:

[tex]\frac{x^{6}}{x^{8}}\\ = x^{6-8} = x^{-2}[/tex]

Answer:

C.)5/12

Step-by-step explanation:

Tan= opposite/ adjacent

Opposite is 15

Adjacent is 36

Simplify 15/36=5/12

Hope this helps! :)

Answer:

650%

Step-by-step explanation:

Answer:

$47.15

Step-by-step explanation:

41x15%=6.15

6.15+41=47.15

Answer: $47.15

Step-by-step explanation:

[tex]41 (1+.15)\\41 (1.15)\\= 47.15[/tex]

or you could do it in pieces

[tex]41(.15)= 6.15\\41+6.15= 47.15[/tex]

Answer:

12+8*6

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

[tex]\frac{-10}{-2} \\\\5[/tex]

Answer:

negative because any positive number multiplied by a negative number will be negative, the only way to make it positive is to multiply a negative number by another negative number.

Step-by-step explanation:

Answer:

8 red beads, 72 green beads

Step-by-step explanation:

1  = x

6 = 48

9 = x

to get from 6 to 48 you multiply by 8 so do that for 1 and 9 to get the answer

1 · 8 = 8

9 · 8 = 72, 72+8 = 80  

Answer:

The area of the triangle is 18 square units.

Step-by-step explanation:

First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:

AB

[tex]AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}[/tex]

[tex]AB \approx 7.616[/tex]

BC

[tex]BC = \sqrt{(-1-5)^{2}+(4-6)^{2}}[/tex]

[tex]BC \approx 6.325[/tex]

AC

[tex]AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}[/tex]

[tex]AC \approx 5.831[/tex]

Now we determine the area of the triangle by Heron's formula:

[tex]A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)}[/tex] (1)

[tex]s = \frac{AB+BC + AC}{2}[/tex] (2)

Where:

[tex]A[/tex] - Area of the triangle.

[tex]s[/tex] - Semiparameter.

If we know that [tex]AB \approx 7.616[/tex], [tex]BC \approx 6.325[/tex] and [tex]AC \approx 5.831[/tex], then the area of the triangle is:

[tex]s \approx 9.886[/tex]

[tex]A = 18[/tex]

The area of the triangle is 18 square units.

Answer:

h ≈ 235

Step-by-step explanation:

We know there is a tower with h height. There is also a wire (that's diagonal) travelling to the ground. It touches the ground. The angle it makes with the ground is 57°.

Refer to the image below of what the problem should look like.

Refer to the trigonometric ratios:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

We can use sine because we are looking for the opposite side (to the angle) and we have the hypotenuse. So:

sine = opposite side/hypotenuse

sin(57) = h/280

sin(57) / 1 = h / 280

Cross multiply:

sin(57) (280) = 1 (h)

Input to calculator:

h = 234.827759...

h ≈ 235

Answer:

The correct equation is "y=4x+3"

Step-by-step explanation:

Given equation:

[tex]y= 4x+3 \ \ or \ \ y=3x+4[/tex]

As per the given line formula:

[tex]\to y=mx+c[/tex]

The slope(m) of the line is [tex]\frac{4}{1} = 4[/tex]  and y-intercept at 3, that is the point (c). So, the correct equation of the line:   [tex]y = 4x + 3[/tex]

Answer:

Hello There!!

Step-by-step explanation:

The answer is that there was once a demon king called Hiranyakashyap, who believed that he was more powerful than the all the gods and he wanted everyone like all the people to worship him but his son, Prahlad, did not worship his father.

hope this helps,have a great day!!

~Pinky~

The function is f(n)=50n, where f(n) gives the number of meters, Nadia swims given the number of minutes she swims.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

We are given the function f, where f(n) is the number of meters Nadia swims given the number of minutes she swims, n, can be written as ;

f(n)=50n.

This function that represents a linear relationship, where the output (the number of meters Nadia swims) is directly proportional to the input (the number of minutes she swims).

Therefore if Nadia swims for 10 minutes, the function will output 500 meters;

10 minutes x 50 meters/minute = 500 meters

Thus, the required function is;

f(n)=50n.

Learn more about the function here:

brainly.com/question/12431044

#SPJ1

9514 1404 393

Answer:

Step-by-step explanation:

A group of 6 quarters and 1 dime has a value of $1.60. Then there are ...

  $28.80/$1.60 = 18

groups like that in the piggy bank.

The number of quarters is 18×6 = 108.

The number of dimes is 18×1 = 18.

There are 108 quarters and 18 dimes in the piggy bank.

Answer:

FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2  

r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared  

r = 12 "  

area = 4 X pi X 12 X 12 = 576 pi" squared  

ANSWER Area will be 4 times the original

Step-by-step explanation:

Answer:

The answer is D. 8.7

Step-by-step explanation:

A=4πr2

Solving fore

r=1

2A

π=1

2·951.1

π≈8.69978in

Answer:

Notice that the written functions are mostly incorrectly written, after a short online search i've found the correct ones, which are the ones i will write in this answer.

A general exponential equation can be written as:

f(x) = A*(r)^x

Where A is the initial value, r is the rate of growth, and x is our variable.

If r > 1,  the function represents a growth.

if 0 < r < 1, the function represents a decay.

1) f(x) = 3^x

Here we have r = 3

This is clearly larger than 1, then this function represents a growth.

2) f(x) = (0.25)^x

Here we have r = 0.25, which is smaller than 1 and larger than zero, then this function represents a decay.

3) f(x) = (2/3)^x

here we have r = 2/3 = 0.66

This is larger than zero and smaller than 1, then this function represents a decay.

4) f(x) = (3/2)^x

Here we have r = 3/2 = 1.5

This is larger than 1, then this function represents a growth,

Answer:

62.8

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

you want to divide the circumference by pi which is 3.14 which is 10 and that is the diameter. Now divide by 2 and the answer is 5. Hope this helps :)

Answer:

165 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m and containing the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = ³/₄

(-8, -2)  ⇒    x₀ = -8,  y₀ = -2

Therefore:

y - (-2) = ³/₄(x - (-8))

y + 2 = ³/₄(x + 8)

Answer:

Faye's probability of pulling out a white marble is 3/80.

Step-by-step explanation:

To find the probability, we must first add everything up.  10 + 13 + 16 + 10 + 11 = 60 marbles.  Now we divide 60 by the amount of white marbles there are.  60 ÷ 16 = 3.75% or 3/80.  Therefore, the probability of Faye pulling out a white marble is 3/80.

Answer:

surface area of prism= 2(lb+bh+lb)

surface area of prism= 2(6×6+6×5+5×6)

surface area of prism= 168cm²

formula=2(lb+bh+hl)

sides=12 sides

total surface area =168cm²

volume of prism=l×b×h

volume of prism=6×6×5

volume of prism=180cm³

Answer:

x = 7

Step-by-step explanation:

15-8=7