Consider the figure below: (DE and BC are parallel)

The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is [tex]y = f(x)[/tex], assuming horizontal axis is input axis and vertical is for outputs, then:

For this case, we're specified that:

y = cos(x) (the parent cosine function) was transformed to [tex]y = 0.35\cos(8(x-\pi/4))[/tex]

We can see its vertical stretch by 0.35, right shift by [tex]\pi/4[/tex]horizontal stretch by 1/8

Period of cos(x) is of [tex]2\pi[/tex] length. But 1.8 stretching makes its period shrink to [tex]2\pi/8 = \pi/4[/tex]

Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

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Answer: vertical compression of 0.35, horizontal compression to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the right

Step-by-step explanation:

Answer:

46 are left handed

Step-by-step explanation:

divide 10 by 85 and you get 0.11764705882352941176470588235294 then multiply that by 391 and you get 46

Density is mass per unit volume.  The cost of the metals from the calculations performed is $1280.

Density is defined as the ratio of the mass of an object to its volume. We have the following information;

Mass of the metal = ?

Density of the metal = 5.2 g/cm3

height of the metal = 620 cm

radius of the metal = 19 cm

Volume of a cylinder = πr^2h = 3.142 * (19)^2 * 620 cm = 703242cm^3

Mass = density * volume = 5.2 g/cm3 * 703242cm^3

= 3657 Kg

If the cost is $0.35 per kilogram, then 3657 Kg costs; 3657 Kg * $0.35

= $1280

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The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Given the inequality:

|4x − 2| > 14

Hence:

4x - 2 > 14 or -(4x - 2) > 14

x > 4 or x < -3

The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3

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Answer:

64

Step-by-step explanation:

(-2(-4))^2

8^2

64

hope that helps

Answer:

C. $104

Step-by-step explanation:

First, we need to figure out what percent $120 is of $1500.

120 ÷ 1500 = 0.08 = 8%. So, $120 is 8% of $1500, and this is the percentage that'll be used to calculate Sunday's commission.

0.08 (8%) × 1300 = 104

Thus, you earned $104 on Sunday.

Answer:

is this a multiple choice question? if so can you retype it out to show the separate answer choices because im having trouble reading your question.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Took the test and got it right.

Answer:

AAA is not a congruency postulate because it could only prove that triangles are similar, not congruent.

Step-by-step explanation:

Answer:

  Tina is 12 and MIna is 15

Step-by-step explanation:

Age problems can often be worked by backing out any of the changes in age so as to match the conditions specified at a given time.

Here, the ratio is given for now. The sum of the two ages is 6 years less now than it will be after 3 years, so is now 33 -6 = 27.

The sum of ratio units now is 4+5 = 9, so each ratio unit stands for 27/9 = 3 years of age. The ratio of current ages is ...

  3×4 : 3×5 = 12 : 15

Tina is 12 and MIna is 15.

_____

Check

After 3 years, their ages will be 15 and 18, which will total 33.

Answer:

11) [tex]5\sqrt{7}[/tex] yd

12) [tex]2\sqrt{10}[/tex] cm

13) 9 ft

14) [tex]\sqrt{95}[/tex] cm

15) [tex]5\sqrt{5}[/tex] km

16) [tex]\sqrt{39}[/tex] yd

There are different kinds of math problem. There will be 11 rats in sewer #1.

The term  word problems is known to be problems that are associated with a story, math, etc. They are known to often vary in terms of technicality.

Lets take

sewer #1 = a

sewer #2 = b

sewer #3 = c

Note that   A=B-9

So then you would have:

A=B-9

B=C- 5

A+B+C=56

Then you have to do a substitution so as to find C:

(B- 9) + (C-5) + C = 56

{ (C- 5)-9} + (C-5) + C = 56

3C - 19 = 56

3C = 75

B = C- 5

B = 25 - 5

Therefore, B = 20

A = B - 9

= 25 - 9

=11

Therefore, there are are 11 rats in sewer #1

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Answer:

the answer is 379.9m²

Step-by-step explanation:

half of 22 is ll time 3.14 equals 379.94. to the nearest tenth is 379.9

Sales tax amount:-

Price:-

Answer:

$17,280

Step-by-step explanation:

Given

Solving :

Step-by-step explanation:

x = "a number"

x/-5 - 18 > 3

The area of waffle in the cone is the amount of space covered by the waffle

The cone has 5630 square millimeter of waffle

The surface area of a cone is calculated using:

A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))

For the complete 72 mm tall cone, we have:

Height (h) = 72 mm

Radius (r) = 42 mm/2 = 21 mm

So, the surface area is:

A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))

A = 3.142 * 21 * (21+[tex]\sqrt{[/tex](72^2 + 21^2))

Evaluate

A = 3.142 * 21 * (21+75)

A = 6334.272

When the cone is cut at the top, we have:

Height (h) = 24 mm

Radius (r) = 14 mm/2 = 7 mm

So, the surface area is:

A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))

A = 3.142 * 7 * (7+[tex]\sqrt{[/tex](24^2 + 7^2))

Evaluate

A = 3.142 * 7 * (7 + 25)

A = 703.808

Calculate the difference (d) between the areas

d = 6334.272 - 2.5*703.808

Evaluate

d = 5630.464

Approximate

d = 5630

Hence, the cone has 5630 square millimeter of waffle

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Answer:

Dividing by same signs give a positive answer.

Dividing by different signs give a negative answer.

Step-by-step explanation:

Quotient is just a term for the answer given by a division problem.

positive/positive = positive

positive/negative = negative

negative/positive = negative

negative/negative = positive

By using what we know about octagons, we will see that:

For an octagon of side length S, the area is:

A = 2*(1 + √2)*S^2

In this case, the area of the smaller octagon is:

19.28 in^2 =  2*(1 + √2)*S^2

Solving for S we get:

S = √( 19.28 in^2/(2*(1 + √2))) = 2.03 in

If we apply an enlargement of a factor 3.5, the new side length is:

S' = 3.5*2.03 in = 7.11 in

Then the area of the larger octagon is:

A' = 2*(1 + √2)*(7.11 in)^2 = 244.89 in^2

b) For an octagon of side length S, the radius is:

R = S*√(1 + 1/√2)

Then the radius of the larger octagon is:

R' = (7.11 in)*√(1 + 1/√2) = 9.29 in

Then the diameter of the box must be:

D = 2*R' = 2*9.29 in = 18.58 in

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The amount that the credit union will finance is $24169.60

We have given that the cost of the car is $22,346. 16

and the credit union required 10% down payment

and sale tax=7.6%

The license and title charges are $125. 13.

We have to determine that the  amount that the credit union will

finance Now  we have sale tax 7.6% for $22,346. 16

Therefore, we get

[tex]\frac{7.6}{100} \times 22,346. 16=1698.31[/tex]

credit union finance=cost of car+sales tax+the license and title  charges.

[tex]=22346.16+1698.31+12.13\\=24169.60[/tex]

Therefore, the amount that the credit union will finance is $24169.60

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Answer: x = 5, y = 7

Step-by-step explanation:

First, put the variables together/rearrange:

y - x = 2 & 5x - 4y = -3

Cancel out variable x by multiply the first equation by 5:

5y - 5x = 10 & 5x - 4y = -3

Add equations:

y = 7

Then determine x by plugging y back into the first equation y = x + 2:

x = 5

Answer:

1

Step-by-step explanation:

definite integral from 0-2 of root x dx

root x = x^½

integral of x^½ = ⅔x^(3/2)

Answer:

L= 12

Step-by-step explanation:

area= L×B

108= 9×L

108= 9L

Divide both sides by 9

108/9= 9L/9

L= 12

The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²

Combined area = big rectangle + smaller rectangle - triangle

Hence:

733 = (13 * (59 - x)) + (x * 9) - 0.5(9 - 7) * (x - 6)

733 = 767 - 13x + 9x - x + 6

x = 8 feet

The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²

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Step-by-step explanation:

-4-(3)=-7

step two

3+(-5)=-2

step three

4+6=10

step four

-5-9=-14

step five

-4+(-9)=-13

Answer:

a) -4 - ( 3) = - 7

b) 3 + ( -5) = 3 - 5 = -2

c) 4 + 6 = 10

d) -5 -9 = - 14

e) -4 + ( -9) = -4 -9 = - 13...

Answer:

One is a rhombus.

Step-by-step explanation:

Answer:

$26.42

Step-by-step explanation:

P = 30 * 0.82 * 1.074 = 26.42

Here we are given that ;

[tex]{:\implies \quad \sf f(x)=x^{2}-81}[/tex]

Differentiating both sides w.r.t.x ;

[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2}-81)}[/tex]

[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2})-\dfrac{d}{dx}(81)}[/tex]

[tex]{:\implies \quad \sf f^{\prime}(x)=2x^{2-1}-0}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{f^{\prime}(x)=2x}}}[/tex]

This is the required answer

Answer:3 or 3/10

Step-by-step explanation:

Step-by-step explanation:

3x + 4 = 72 - x

3x - x = 72 - 4

2x = 68

x = 39

Answer:

The unknown number is -5.

Step-by-step explanation:

-3 + -5 = -8

-8 - -3 = -5

-8 - -5 = -3