1. When given the expression 5^3, what should you do to solve?
a. 5 X3
b. 5 X 5 X 5
c. 3 X 3 X 3 X 3 X3

Answer:

9

Step-by-step explanation:

To answer this question, you must isolate the variable y.

Step 1.

add 2 to each side to isolate 2y

2y-2+2=16+2

the twos on the left cancel out and you are left with: 2y=18

Step 2.

divide each side by 2 to isolate y completely

2y/2=18/2

y=9

Answer:

what does this mean

Step-by-step explanation:

Answer:

View Picture

Step-by-step explanation:

Answer:

28. x(x+2)(x+5)

29. 2(2x+1)(x-2)

30. y(a+5)^2

Step-by-step explanation:

30. y(a+5)(a+5)

Answer:

○ [tex]\displaystyle f(x) = 10cos\:\frac{\pi}{2}x + 10[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{f(x) = 10sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) + 10} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 10 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-1} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{\pi}{2}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi \\ Amplitude \hookrightarrow 10[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 10 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi \\ Amplitude \hookrightarrow 10[/tex]

The cosine graph in the photograph on the right is the OPPOCITE of the cosine graph in the photograph on the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

**Moreover, both graphs have the same maximum and minimum value, but we are looking for the equation that will not reflect over the midline of [tex]\displaystyle y = 10,[/tex]which means we do NOT want a negative in front of the amplitude value, therefore we have this equation:

[tex]\displaystyle f(x) = 10cos\:\frac{\pi}{2}x + 10[/tex]

If you are having trouble figuring out which graph is which, just remember that the parent function of [tex]\displaystyle y = cos\:x[/tex]never touches the origin unless it shifts one unit south or gets reflected from somewhere. In this case, the photograph on the left touches the origin because of a reflection [negative symbol], therefore the photograph on the right matches the equation selected.

I am delighted to assist you at any time.

The correct function is,

⇒ y = 10 cos (π/2x) + 10

A relation between a set of inputs having one output each is called a function.

Given that;

A cosine function has a period of 4.

Since, The period is 4.  

Hence, The relationship between period and b (the coefficient of the independent variable of the cosine function) is, (period) =(2π/b).  

Hence, We get;

⇒ 4b = 2π

⇒ b = 2π/4

⇒ b = π/2

So, Now our equation y = a cos (bx) + c becomes as;

⇒ y = 10 cos (π/2x) + 10

Thus, The horizontal center line of this cosine curve is y = 10.  The maximum value of the curve is 20, which is 10 + 10, and the minimum value is 0, which is 10 - 10.

Learn more about the function visit:

https://brainly.com/question/28793267

#SPJ2

Answer:

61.4°

Step-by-step explanation

Given

Length of the ramp = 23ft = hypotenuse

Base of the ramp = 11ft = Adjacent

Required

Angle of elevation x

Using the SOH CAH TOA identity

Cos theta =adj/hyp

Cos x = 11/23

Cos x = 0.4782

x = arccos0.4782

x = 61.42°

Hence the angle of elevation is 61.4°

Answer:

0

Step-by-step explanation:

Answer:

(m+n)5

Step-by-step explanation:

(m+n)+(m+n)+(m+n)+(m+n)+(m+n) = (m+n)5

Answer:

2a+6a+7+8+10+11

Step-by-step explanation:

Answer:

102 cm2

Step-by-step explanation:

First you want to find the area of the entire rectangle by multiplying the 2 sides.

20cm x 6cm = 120

Then you want to find the area of the other two shapes (in this case the square and triangle). Also use the other sides to find the lengths of the triangle.

Square = 3 x 3 = 9

triangle = 6 x 3 = 18 / 2 = 9

So then all you have to do is subtract the squares and triangles area from the total rectangle.

120 - (9 + 9)

120 - 18

102 cm2

Hope this helps! Feel free to message me for anymore help!

Answer:

its red

0[tex]\leq[/tex]y[tex]\leq[/tex]225

Step-by-step explanation:

Answer:

Step-by-step explanation:

value of 6n-2 when n=3 is 6(3)-2 = 18-2 = 16

Answer:

x=110°

Step-by-step explanation:

Sum of angles in a quadrilateral = 360°

360° - 128° - 40° - 82° = 110°

Answer:

x = 110

Step-by-step explanation

The sum of the interior angles of a quadrilateral = 360°

Sum the given angles and equate to 360

82 + 40 + 128 + x = 360

250 + x = 360 ( subtract 250 from both sides )

x = 110

Answer:

Area of a trapezoid:

A=h(a+b)/2

A=2xy(4x^2y+7x^2y)/2

A=2xy(11x^2y)/2

A=22x^3y^2/2

A=11x^3y^2

So, the correct answer is the third option: A=11x^3y^2

Let me know if this helps!

Answer:

14

Step-by-step explanation:

Convert 21 to a fraction: 21/1

2x21= 42

3x1= 3

42/3= 14

3/3= 1

14/1 --> simplify to 14

Answer:

C is at -2

Step-by-step explanation:

distance from A to B is 10

10 × 3/5 = 6

add 6 to -8 to get -2

Answer:

A premium for fire insurance could be lower than someone else's if: Building is close to a ... Using the tables in the handbook, the total annual premium is: $1,554 ... On a fire that causes $60,000 of damage.

Step-by-step explanation:

Answer:

B. 24 :)

Step-by-step explanation:

I hope this helps!

Answer:

106

Step-by-step explanation:

Interior angles add up to 360 degrees.

360-74-74(angles across are the same)=212

212/2=106 degrees

Answer:

x = 106°

Step-by-step explanation:

adjacent angles in this parallelogram are supplementary (add to 180°)

Answer:

Change 45 min to .75 hrs

Distance = speed * time

Train A's distance = 55(t+.75)

Train B's distance = 70t

The equation

D(t) = 70t + 55(t+.75)

Answer:

Probability [selected donuts a jelly-filled donut] = 2 / 23

Step-by-step explanation:

Given:

Total number of donuts = 92

Number of jelly-filled donuts = 8

Find:

Probability [selected donuts a jelly-filled donut]

Computation:

Probability [selected donuts a jelly-filled donut] = Number of jelly-filled donuts / Total number of donuts

Probability [selected donuts a jelly-filled donut] = 8 / 92

Probability [selected donuts a jelly-filled donut] = 2 / 23

Answer:

The option which is the closest to the measure of ∠A is 74°

Step-by-step explanation:

The question is answered using the options provided by a similar question from an online source

When tan A = (7/2), we have;

The trigonometric ratio for the tangent of an angle is given as follows;

[tex]tan\angle A = \dfrac{Opposite \ leg \ length}{Adjacent \ Leg \ length} = \dfrac{sin \angle X}{cos\angle X}[/tex]

tan A = (7/2) = 3.5

sin(30°) = 1/2, cos(30°) = (√3/2)

sin(60°) = (√3/2), cos(60°) = (1/2)

sin(45°) = cos(45°) = (√2/2)

tan(30°) = (1/2)/(√3/2) = (√3)/3

tan(45°) = 1

tan(60°) = (√3/2)/(1/2) = √3

The tangent of an angle is increasing as we move from 0° to 90°

Therefore, given that tan A = 7/2 > tan 60° = √3, we have;

∠A > 60°

The option (the options obtained from an online source are; 15°, 39°, 58°, and 74°) which is the closest to the measure of ∠A is 74°.

Answer:

give the guy or girl above me brainliest

Step-by-step explanation:

Answer:

hffhbvcghbvcf given ndi

Answer:

a = 20m

b = 8ft

Step-by-step explanation:

a² = 25² - 15²

a² = 625 - 225

a² = 400

a = 20m

b² = 10² - 6²

b² = 100 - 36

b² = 64

b = 8ft

Answer:

The amount of money they will spend at the restaurant is $35.16

Step-by-step explanation:

From the information given in the question, we have;

The amount Jessica, Genesis, and Violet received as bill at the restaurant, X = $29.30

The amount they wished to leave as tip, T = 20% (of the bill)

Therefore, the amount of money they will spend at the restaurant, 'A', is given as follows;

A = X + T

T = 20% of X = 20/100 × X = 0.2·X

∴ A = X + 0.2·X = 1.2·X

X = $29.30

A = 1.2·X = 1.2 × $29.30 = $35.16

The amount of money they will spend at the restaurant, A = $35.16

Answer:

The appropriate test for the investigation is;

E. A chi-square test of independence

Step-by-step explanation:

The chi-square test for independence is for the analysis of two categories from within a population to evaluate the existence of association among the different categories within the two variables

The chi-square test for independence is used for the analysis of contingency (frequency) table

Therefore, the appropriate test for the investigation in finding out (1) the textbook preference and (2) the class level of the associated student is the chi-square test of independence