Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.

R (1, 1)
S (3, 1)
T (1, 6) R' (–1, –1)
S' (–3, –1)
T' (–1, –6)

The true statement about a ladder is; the ladder has parallel line segments and perpendicular line segments.

Parallel lines are lines that never meet on the same plane which have equal distance apart from each other.

They are lines that intersect each other to form a right angle.

Therefore, the ladder has parallel line segments and perpendicular line segments.

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Answer:

73 minutes and 30 seconds

Step-by-step explanation:

Because 6*6 = 36, we conclude that 36 is the only square number.

A square number is a number that is equal to the product of a whole number and itself.

For example, the square numbers are:

2*2 = 4

3*3 = 9

4*4 = 16

5*5 = 25

6*6 = 36

7*7 = 49

etc...

From the given numbers: {5, 8, 15, 30, 36}

The only one that belongs to the above list is 36, that is the only square number, so that is the correct option.

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Answer:

Step-by-step explanation:

[tex]F(2)=\frac{1}[3} \cdot 4^{2}=\frac{16}{3}[/tex]

Answer:

Your answer should be D. $48,856.11

Step-by-step explanation:

This formula is for Compound Continuously.

[tex]A=P*e^{rt}[/tex]

P = 40,000

e = 2.71...

r = 2.5% = 0.025

t = 8 years

Plug in our variables and solve for the money of the account within 8 years.

A = 40,000*e^(0.025*8)

A = 40,000*e^(0.2)

A = 48,856.11033

A = $48,856.11

Flowers/week is the unit of measurement for the composite function s(W(h)).

Given that the function w(h) indicates the number of hours per week that Matthew spends picking flowers and the function s(t) approximates how many flowers he collects every hour.

The process of combining two or more functions into one function is known as the composition of functions. The output of the function enclosed in parenthesis becomes the input of the function outside of them in a composition of functions.

Hours of flowers is the unit of function s(t).

Additionally, consider that W(h) denotes the number of hours per week that Matthew spends gathering flowers.

W(h) = hours/week as a unit.

The unit of the composite function s(W(h)) will be = (Flowershours)(hoursweek) = Flowersweek.

Hence, the units of measurement for the composite function s(W(h))where the function s(t) approximates how many flowers Matthew picks per hour and the function w(h) represents how hours per week Matthew spends picking flowers is flowers/week.

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The standard error for the distribution of sampling proportions will be 0.0686.

In mathematics, the difference between a data set and the populace's true average is known as primary data deviation from the mean.

According to the National Postsecondary Student Aid Study conducted by the U.S.

Department of Education in 2008, 62% of graduates from public universities had student loans.

We randomly select 50 students at a time.

Then the standard error for the distribution of sampling proportions will be

[tex]\rm Standard\ error = \sqrt{\dfrac{p(1-p)}{n}}\\\\Standard\ error = \sqrt{\dfrac{0.62(1-0.62)}{50}}\\\\Standard\ error = 0.0686[/tex]

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Answer: 745.50

Step-by-step explanation:

49445-41990=7455

7455/10=745.50

Answer:

a)

density = mass/volume

density = 320/128

density = 2.5 g/cm3

b)

mass = density x volume

mass = 65 x 26

mass = 1690g

Answer:

a) d = 2.5g/cm3

b) m = 1690g

Step-by-step explanation:

density equals mass between volume

a) [tex]d=320g/128cm^{3} =2.5g/cm^{3}[/tex]

mass equals density by volumen

b)[tex]m=(26g/cm^{3} )(65cm^{3} )=1690g[/tex]

Hope this helps

The amount of money left for Mr Ade after deducting his house payment, children allowance and food is #110

Amount given to each child = #2

Number of children = 5

= #10

Balance left = 460 - (50 + 10 + 290)

= 460 - (350)

= #110

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The graph we need is [tex]y=-3^x[/tex], which is shown in the attached image.

The product of f(x) and g(x) is 3x²-6x+3

A function is a law that relates a dependent and independent variable with each other.

The domain of f(x) and g(x) is all real numbers

f(x) = 2x + x - 3 and g(x) = x - 1.

Then f(x).g(x) = (2x + x - 3) * ( x - 1)

f(x).g(x) = 2x² -2x +x²-x-3x+3

f(x).g(x) =3x²-6x+3

Therefore, the product of f(x) and g(x) is 3x²-6x+3.

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Answer:

Make a graph with bug repellent as x, and bug bites as y

Step-by-step explanation:

This just makes the most sense to me, depending on how many people use bug repellent, how many bug bites they get.

Answer:

21

Step-by-step explanation:

The measure of arc BEC in circle D is 134°

From the question, we are to determine the measure of arc BEC

Measure of arc BEC = 2 × m∠BAC

First, we will determine the measure of angle ACB

From one of the circle theorems,

The angle subtended by an arc of a circle is twice the angle it subtends anywhere on the circle's circumference

∴ m∠ACB = 1/2 × 76°

m∠ACB = 38°

Then,

m∠BAC + m∠ACB + m∠ABC = 180° (Sum of angles in a triangle)

m∠BAC + 38° + 75° = 180°

m∠BAC + 113° = 180°

m∠BAC  = 180°- 113°

m∠BAC = 67°

Then,

Measure of arc BEC = 2 × m∠BAC

Measure of arc BEC = 2 × 67°

Measure of arc BEC = 134°

Hence, the measure of arc BEC is 134°

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Using proportions, it is found that the ratios are given as follows:

a) 9:196.

b) 27:2744.

c) 3:14.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The scale factor is of 3:14, hence:

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The answers include the following:

This is a form of risk management which protects individuals from any form of loss or damage.

Life insurance has different types which are appropriately mentioned and matched above.

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Answer:

You're correct

Step-by-step explanation:

The product (-3) * (1, 4) is (-3, -12)

The expression is given as:

(-3) * (1, 4)

Rewrite the expression as

(-3 * 1, -3 * 4)

Evaluate the product

(-3, -12)

Hence, the product (-3) * (1, 4) is (-3, -12)

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Answer:

A (6)

Step-by-step explanation:

first, let's rearrange the polynomial (just to make it more clear)

[tex]P(x)=-2^2+x^6-4x+1[/tex]

p(x) = [tex]x^6-4x-4+1[/tex]

the highest exponent here is 6, meaning that the correct option is A (6)

hope this helps!

The perimeter of the actual pool will be option C. 1100 ft.

It's the sum of the length of the sides used to make the given figure.

A scale drawing of a new pool is shown. All the corners are at right angles.

The lengths are 6 in, 2 in, 5 in and 3 in.

Perimeter = 6 + 2 + 5 + 3 + 2 + 4

                 = 22 in

We have given a scale;

1/2 in = 25 ft

So, 1 in = 50 ft

26 in will be

22 x  50 = 1100 ft

Hence, the perimeter of the actual pool will be option C. 1100 ft.

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D.

Step-by-step explanation:

because cos0 = b/h

so cos0 = 8/15

The time to hit the ground is 1.9 seconds

The height equation is given as:

d = -16t^2 + h0

A stone thrown from 60 feet has an initial height of 60.

This means that:

h0 = 60

So, we have:

d = -16t^2 + 60

When the stone hits the ground, d = 0

So, we have:

-16t^2 + 60 = 0

Evaluate the like terms

-16t^2 = -60

Divide by -16

t^2 = 3.75

Evaluate the square root

t = 1.9

Hence, the time to hit the ground is 1.9 seconds

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The trigonometric identity (cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = cos⁴θ

Since (cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = [(cos²θ)² - (sin²θ)²]/[1 - (tan²θ)²]

Using the identity a² - b² = (a + b)(a - b), we have

(cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = [(cos²θ)² - (sin²θ)²]/[1 - (tan²θ)²]

= (cos²θ - sin²θ)(cos²θ + sin²θ)/[(1 - tan²θ)(1 + tan²θ)] =

= (cos²θ - sin²θ) × 1/[(1 - tan²θ)sec²θ] (since (cos²θ + sin²θ) = 1 and 1 + tan²θ = sec²θ)

Also, Using the identity a² - b² = (a + b)(a - b), we have

(cos²θ - sin²θ) × 1/[(1 - tan²θ)sec²θ] = (cosθ - sinθ)(cosθ + sinθ)/[(1 - tanθ)(1 + tanθ)sec²θ]

= (cosθ - sinθ)(cosθ + sinθ)/[(cosθ - sinθ)/cosθ × (cosθ + sinθ)/cosθ × sec²θ]

= (cosθ - sinθ)(cosθ + sinθ)/[(cosθ - sinθ)(cosθ + sinθ)/cos²θ × 1/cos²θ]

= (cosθ - sinθ)(cosθ + sinθ)cos⁴θ/[(cosθ - sinθ)(cosθ + sinθ)]

= 1 × cos⁴θ

= cos⁴θ

So, the trigonometric identity (cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = cos⁴θ

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If the area is 90 square units. Then the dimension of the rectangle will be 5 units and 18 units.

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L×W square units

The width of a rectangle is 13 units less than the length.

If the area is 90 square units.

W = L – 13

Then we have

                           90 = L(L – 13)

         L² – 13L – 90 = 0

L² – 18L + 5L – 90 = 0

L(L – 18) + 5(L – 18) = 0

         (L – 18)(L + 5) = 0

                             L = -5, 18

Then the width will be

W = 18 – 13

W = 5 units

Then the dimension of the rectangle will be 5 units and 18 units.

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The fraction of the colored part is 10/12 or 5/6. None of the option is correct

Fractions are written as a ratio of two integers. From the given question;

3 square divided into4 equal parts will have a total of 12 parts. If Kelly colors 10 parts, the fraction of the colored part will be:

Fraction. = 10/12

Fraction = 5/6

Hence the fraction of the colored part is 10/12 or 5/6

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The required limits for the heads (a), (b), (c) are given by 4, 1, 4 respectively.

[tex]f(x)\left \{ {{4x-3} ,x < 1\atop {3x+1},x\geq 1} \right.[/tex]

Limit, can be defined nearby values of a variable at which the function has their exists.

a)  [tex]\lim_{x \to 1+\y}3x+1\\[/tex]

⇒ 4
b) [tex]\lim_{x \to -1\y}4x-3\\[/tex]

⇒ 1

c) [tex]\lim_{x \to 1\y}3x+1\\[/tex]

⇒4

Thus, The required value of limits of a, b, c is given by 4, 1 ,4 respectively.

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Answer:

All real numbers greater than -3

Step-by-step explanation:

The domain of a log is the baseline is greater than 0.

Set x + 3 greater than zero and solve

x + 3 > 0

x > -3

Answer:

y >_ - 29/8

Step-by-step explanation: