-1/5(-2 1/4)? (-1/5 x -2 1/4)=?? Brainilist

Given:

The function is:

[tex]f(x)=x^2[/tex]

This function is stretched by a factor of 9 to g(x).

To find:

The equation of function function g(x).

Solution:

The vertical stretch is defined as:

[tex]g(x)=kf(x)[/tex]           ...(i)

If [tex]0<k<1[/tex], then the function f(x) compressed vertically by factor k.

If [tex]k>1[/tex], then the function f(x) stretched vertically by factor k.

The given function f(x) is stretched by a factor of 9 to g(x).  So the value of k is 9.

Substituting [tex]k=9[/tex] in (i), we get

[tex]g(x)=9f(x)[/tex]

[tex]g(x)=9x^2[/tex]            [tex][\because f(x)=x^2][/tex]

Therefore, the required function is [tex]g(x)=9x^2[/tex].

Answer:

d.18

Step-by-step explanation:

as x goes up by 1, y goes up 18

Answer:

option d is correct

Step-by-step explanation:

taking 28 degree as reference angle . Then

sin 28 = opposite/hypotenuse

sin 28 = 8/17

The value of sin 28° is 8/17.

In the right triangle of the figure

Let, x be the opposite side angle of 28°

and y be the hypotenuse

[tex]$\sin \left(28^{\circ}\right)=\frac{x}{y}$[/tex]

We have,

x = 8 units  and

y = 17 units

Substitute the values of x and y, we get

[tex]$\sin \left(28^{\circ}\right)=\frac{8}{17}$[/tex]

Therefore, the correct answer is option D. 8/17.

To learn more about right angle triangle in trigonometry

https://brainly.com/question/3763984

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Answer:

90

Step-by-step explanation:

Answer:

c = 355 ; a = 170

Step-by-step explanation:

c = children

a = adults

c + a = 525

19c + 40a = 13545

19c + 19a = 9975

19c + 40a = 13545

-21a = - 3570

a = 170

c + 170 = 525

c = 355

Answer:

think it's the last one

Step-by-step explanation:

sorry if i'm wrong

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Answer:

  D) y-intercept: (0, -10); vertex: (2, -2); zeros: none

Step-by-step explanation:

The graph does not cross the x-axis, so there are no real zeros. It crosses the y-axis at (0, -10), so that is the y-intercept.

These observations match choice D.

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Answer:

  $2398.20

Step-by-step explanation:

Perhaps you want the monthly payment. It is given by the amortization formula ...

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where P is the principal amount, r is the annual interest rate, n is the number of payments per year, t is the number of years.

Your monthly payment will use P = 400,000; r = 0.06, n = 12, t = 30.

  A = $400,000(0.06/12)/(1 -(1 +0.06/12)^(-12·30)) ≈ $2398.20

Answer:

3

Step-by-step explanation:

slope of line = gradient of line

= [tex]\frac{10-4}{3-1}[/tex]

= 3

Answer:

xy(3x+10)(3x-10)

Answer:

v=3.14 r 2 h

3.14 (2)(2)(7)= 87.9

Answer:

The answer for the Volume is 87.9 to 1d.p or 88in³ to the nearest tenth

Step-by-step explanation:

Volume of a cylinder =pir²h

r=d/2=4/2=2in

V=3.14×2²×7

V=3.14×4×7

V=87.92in³

V=87.9in³ to 1d.p

V=88in³ to the nearest tenth

Answer:

192 inches^3 or 192 cubic inches

Step-by-step explanation:

48 one inch cubes means the base area is 48inches^2. 48inches^2 multiplied by 4 inches = 192inches^3

Answer: 192 square inches

Step-by-step explanation: it says that he can fill the bottom of the box with 48 once inch cubes, and since the cubes are an inch tall, the cubes would cover an inch of the box's height. The box's total height is 4, so you would need to multiply 4 by 48 to get the total number of cubes that can fit in the box, aka the volume of the box.

Given :

An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport.

To Find :

What angle of depression does the airplane need to use to reach the runway?

Solution :

Let, angle of depression is [tex]\theta[/tex] .

So,

[tex]tan\ \theta = \dfrac{ Altitude \ in \ which \ plane \ is \ flying}{Horizontal \ Distance}\\\\tan \ \theta = \dfrac{37000}{5280}\\\\tan \ \theta = 7.00\\\\\theta = tan^{-1} 7\\\\\theta = 81.87^o[/tex]

Hence, this is the required solution.

Answer:

256

Step-by-step explanation:

The digits can only be one of four numbers.

4*4*4*4 = 4^4 = 256

Answer:

um I think that it could be 7 are 2

gradient or slope=y2 -y1

x2 - x1

so for A, p is x1 and 3 is y1..

For B, 6 is x2 and p is y2

2= p - 3

6 - p

2 ( 6 - p) = p - 3

12 - 2p = p - 3

-2p + p = -3 - 12

-p = - 15

p = 15

Answer:

Time taken = 0.85 and 0.59 (Approx.)

Step-by-step explanation:

Given:

Initial height = 4 feet

Initial upward velocity = 23 f/s

Equation;

h = 4 + 23t - 16t² for h = 12 feet

Find:

Time taken

Computation:

h = 4 + 23t - 16t² for h = 12 feet

12 = 4 + 23t - 16t²

16t² -23t + 8 = 0

t = [-b±√b²-4ac] / 2a

t = [23±√23²-(4)(16)(8)] / 2(16)

t = [23±√529-512] / 32

t = [23±4.12]/32

Time taken = 0.85 and 0.59 (Approx.)

Answer:

-3/2

Step-by-step explanation: Divide 12 by 8 and you get 3/2. Since the sign alters, the ratio is negative.

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Answer:

  Emma's flight is farther from the airport

Step-by-step explanation:

Even without doing any detailed calculation, you can see on a graph that the larger turn Alice's flight makes keeps it closer to the airport.

Emma's flight is farther from the airport.

__

The distance can be calculated using the Law of Cosines. The angle of interest is the supplement of the turn angle. Since the leg distances are the same in each case, the only variable affecting the distance from the airport is the angle measure. Again, the larger the turn, the shorter the distance from the airport. If T is the turn angle, the distance is ...

  d² = 100² +50² -2·100·50·cos(180° -T)

  d² = 12500 +10000·cos(T) . . . . . . . using cos(180°-T) = -cos(T)

  d = 100√(1.25+cos(T))

For Alice's 70° turn, the distance is ...

  d = 100√(1.25+0.342) ≈ 126.18 mi

For Emma's 50° turn, the distance is ...

  d = 100√(1.25 +0.643) ≈ 137.58 mi

Emma's flight is farther from the airport.

_____

The law of cosines formula is ...

  c² = a² +b² -2ab·cos(C)

where triangle sides are lengths a, b, c and angle C is opposite side c.

Answer:

The marked price of the watch is $2,702.27.

Step-by-step explanation:

Since allowing 20% discount on the marked price of a watch, the value of the watch will be Rs. 2378, to determine, if the VAT of 10% is added, it's marked price, the following calculation must be performed:

1 - 0.2 = 0.8

0.8 x 1.1 = 2378

0.88 = 2378

0.88 = 2378

0.8 = X

0.8 x 2378 / 0.88 = X

1,902.4 / 0.88 = X

2,161.81 = X

0.8 = 2,161.81

1 = X

2,161.81 / 0.8 = X

2,702.27 = X

Therefore, the marked price of the watch is 2,702.27.

Answer:

a) 68%.

b) 84%.

c) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.

d) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.

e) Between 60 mph and 80 mph.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 70 mph, standard deviation of 5 mph.

(a) Approximately what percent of cars are travelling between 65 and 75 mph?

70 - 5 = 65

70 + 5 = 75

Within 1 standard deviation, so approximately 68%.

(b) If the speed limit on this stretch of highway is 65 mph, approximately what percent of cars are traveling faster than the speed limit?

The normal distribution is symmetric, which means that 50% of the measures are below the mean, and 50% are above.

65 is one standard deviation below the mean, so of the cars below the mean, 68% are above 65 mph.

0.68*50% + 50% = 34% + 50% = 84%.

84%.

(c) What percent of cars are traveling at a speed greater than or equal to 80 mph?

80 = 70 + 2*10

2 standard deviations above the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean. Due to the symmetry of the normal distribution, of the other 5%, 2.5% is at least 2 standard deviations below the mean and 2.5% is at least 2 standard deviations above the mean. Then:

Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.

(d) What percent of cars are traveling at a speed greater than 80 mph?

Same as item c, as in the normal distribution, the probability of an exact value is considered to be 0.

(e) 95% of cars are traveling between what two speeds?

Within two standard deviations of the mean.

70 - 2*5 = 60 mph

70 + 2*5 = 80 mph.

Between 60 mph and 80 mph.

Answer:

w<32

Step-by-step explanation:

Answer:

m∠R > 90°

m∠S + m∠T < 90°

m∠R > m∠T

m∠R > m∠S

Step-by-step explanation:

Here, RST is a triangle

Therefore, m∠R+m∠S+m∠T = 180° ⇒ m∠S+m∠T = 180° - m∠R

Given: m∠R > m∠S + m∠T

⇒ - m∠R < - (m∠S + m∠T) (by multiplying -1 on both sides)

⇒ 180° - m∠R < 180° - (m∠S + m∠T) (by adding 180° on both sides)

⇒ m∠S+m∠T < 180° - (m∠S + m∠T)

⇒ m∠S+m∠T+m∠S+m∠T < 180° (by adding m∠S + m∠T on both sides)

⇒ 2(m∠S+m∠T) < 180°

⇒ m∠S+m∠T < 90°

⇒ m∠R > 90° ( because m∠R+m∠S+m∠T=180° )

Again, m∠R > m∠S + m∠T

⇒ m∠R > m∠S and m∠R > m∠T

Thus, Option first, second, fourth and fifth are correct.

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Answer:

  1/10

Step-by-step explanation:

The product of fractions is the product of the numerators, divided by the product of the denominators.

  [tex]\dfrac{1}{2}\text{ of }\dfrac{1}{5}=\dfrac{1}{2}\times\dfrac{1}{5}=\dfrac{1\times1}{2\times5}=\boxed{\dfrac{1}{10}}[/tex]

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Additional comment

When working with fractions and percentages, you will find that "of" often means "times."

Answer:

wy m by that??!???? im confused

Answer:

Chase would be 24 years old

Answer:

[tex]7x - 21y = 14 - - - (a) \\ 2x + 3y = 11 - - - (b) \\ (a) + 7 \times (b) : \\ 21x + 0y = 91 \\ x = 4.33 \\ (2 \times 4.33) + 3y = 11 \\ 3y = 2.34 \\ y = 0.78 \\ { \boxed{x = 4.33}} \\ { \boxed{y = 0.78}}[/tex]