FOR 20 POINTS r(x)=−7x−3 and q(x)=r(−3x).

What equation shows the correct rule for the function q?


q(x)=21x

q(x)=21x−3

q(x)=21x+9

q(x)=21x+3

The distance across the river, given the angle of the line of sight and the

distance along the shoreline is found using trigonometric ratios.

Reasons:

The distance along the the shore Shawna walked before sighting across the river = 90 feet

The angle made by the line of sight and the shoreline, θ = 65°

Required:

The distance across the river.

Solution:

Taking the initial location of Shawna to be the closest place to point she wanted to go across the river, we have;

The shortest distance across the river = A perpendicular line

Therefore, the following sides, form a right triangle;

Where:

The line of sight = The hypotenuse side

The distance she walked = The adjacent side to angle 65° angle

The closest distance across the river = The opposite side to the 65° angle

By trigonometric ratio, we have;

Which gives;

Opposite side to angle = tan(θ) × Adjacent side to angle

Therefore;

Distance across the river = tan(65°) × 90 feet ≈ 193.0 feet

Learn more about trigonometric ratios here:

https://brainly.com/question/10270672

https://brainly.com/question/2560921

Nathan bought a bicycle for $230 at an auction. Nathan sells the bike for $299 at a 30% markup.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

Nathan bought a bicycle for $230 at an auction. He fixed it up and sold it at a 30% markup.

So, the markup price, we get

30% of $230

= 30/100 x 230

= 3 x 23

= 69

Total selling price = 230 + 69

                             = 299

Thus, Nathan sells the bike for $299.

Learn more about percentages;

https://brainly.com/question/23111313

Answer:

1,500

Step-by-step explanation:

hope this helped!

Answer:

1500.

Step-by-step explanation:

The hundreds digit is the 5.

A the next digit ( the tens) is 0  ( < 5) it remains as 0 and the 8 becomes 0.

Therefore, the number is 50.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Step-by-step explanation:

oh come on ! you can see that with common sense : it is 2)

while the data itself is the same, but in figure B it is kind of suggested that "Super Cinema" had twice the sales of "Bud's Movies". which is not the case at all.

and that is one of the problems, when you don't show the whole data range (which happens when you don't start the data range at the actual beginning - like 0 in this case).

as I keep saying : never trust a statistic you have not falsified yourself ...

Answer:

Step-by-step explanation:

[tex]\sf x^2=x+2[/tex]

Subtract x+2 from both sides of the equation:

[tex]\sf x^2-(x+2)=x+2-(x+2)[/tex]

[tex]\sf x2-x-2=0[/tex]

Now, factor left side of equation:

[tex]\sf (x+1)(x-2)=0[/tex]

Set the factors equal to zero:

[tex]\sf x+1=0[/tex]            [tex]\sf x-2=0[/tex]

[tex]\boxed{\sf x=-1}[/tex]            [tex]\boxed{\sf x=2}[/tex]

_____________________________________

Answer:

-20

Step-by-step explanation:

PEMDAS

Parentheses -> Exponents -> Multiplication -> Division -> Addition -> Subtraction

1.) First, we can rewrite this equation to make it easier to understand

5 x (-6 / -1 + - 10)

5(-6 / -1 - 10)

2.) Begin by dividing inside the parentheses

5(-6 / -1 - 10)

5(6 - 10)

3.) Solve

5(6 - 10)

5(-4)

-20

or

5(6 - 10)

5(6) 5(-10)

30 - 50

-20

Therefore, the expression equals -20.

Answer:

80% of the class picked the pizza

Step-by-step explanation:

In order to find a percentage, you are supposed to divide the amount of how much someone has picked by the total amount (in this case pizza's). Here is how I got 80%,

28/35 = 0.8

0.8*100 = 80

So the answer is 80%

Answer: The cost of one drink is $5.30.

Explanation: 6 + 4 = 10, and 53/10 = 5.3, therefore the cost of one drink is $5.30.

Answer:

$5.30

Step-by-step explanation:

6 + 4 = 10

53 / 10 = 5.3

:)

Answer:

Step-by-step explanation:

There are 81 calories in a 0.75 cup serving of chicken noodle soup. How many calories are in a 2 cup serving?

0.75*2=2 cups

81*2=162

Answer:

x = 216

Step-by-step explanation:

[tex]\frac{81}{0.75}[/tex] = [tex]\frac{?}{2}[/tex]

I hope this helps!!

Answer: 84 m

Step-by-step explanation:

To find area, you multiply the width by the length ( A = L x W). Here, it is asking for the length, giving the area of the pool and the width. With this information, you can inverse operation ( division) to find the length of the pool. So:

5628 / 67 = 84

This tells us that the length of the pool is 87 meters. To check this answer, multiply 67 and 84. If it's equivalent to 5628, the given area, then 84 is indeed the length of the pool.

67 x 84 = 5628.

Thus, the length of the pool is 84 m.

The time it will take the pebble to reach the maximum height is 1.5secs

Given the quadratic equation that models the path of the pebble expressed as p(t) = –16t^2 + 48t + 110

We can calculate the time taken by the pebble to reach the maximum height.

At maximum height, the velocity of the pebble is zero i.e. p'(t) = 0

p'(t) = -32t + 48

0 = -32t + 48

32t = 48

t = 48/32

t = 1.5secs

Hence the time it will take the pebble to reach the maximum height is 1.5secs

Learn more on velocity function here:https://brainly.com/question/25749514

Answer:

-127 is colder

Step-by-step explanation:

-54 is closer to 0 than -127 so -127 is colder

They are both negatives BUT! -127 is greater than -54 and the 0 is the begginging of frezing point

Answer:

14

Step-by-step explanation:

3x7=21 you take away 7 books you would have 14 left or 7x2

Answer:

Only the primary color wavelengths are being absorbed by the ball.

Answer:Which statement is true when looking at a black ball?

Group of answer choices

Only the primary color wavelengths are being reflected by the ball.

All color wavelengths are being reflected by the ball.

All color wavelengths are being absorbed by the ball.

Only the primary color wavelengths are being absorbed by the ball.

Step-by-step explanation:

Answer:

-453/15 = -30.2

Answer:

-30.2 or -30 1/5

Step-by-step explanation:

Answer:

t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years.

Step-by-step explanation:

For triangle MNO, the statements that are true are m ∠ MNP < m ∠ ONP and MP< OP.

We are given a triangle MNO.

We are also given that:

m ∠ MNP = 38°

m ∠ ONP = 39°

This clearly means that:

m ∠ MNP < m ∠ ONP

Also, since m ∠ MNP < m ∠ ONP , the sides opposite to the angles will also follow the same relationship.

Side opposite to ∠ MNP is MP

and side opposite to ∠ ONP is OP

so, the relation will become:

MP < OP

Therefore, we get that, for triangle MNO, the statements that are true are m ∠ MNP < m ∠ ONP and MP< OP.

Learn more about triangle here:

https://brainly.com/question/17335144

#SPJ1

The statements m MNP m ONP and MP < OP are true for triangle MNO.

A triangle MNO is presented to us.

Additionally, we learn that

m ∠ MNP = 38°

m ∠ ONP = 39°

This demonstrates that:

m, MNP, m, and ONP

The sides that are opposite to the angles will also adhere to the same relationship because m MNP m ONP.

MP is the side that faces MNP.

and OP is the side opposite to ONP.

hence, the relationship will be:

MP < OP

As a result, we understand that for triangle MNO, the assertions m MNP m ONP and MP OP are true.

To learn more about visit Triangle :

brainly.com/question/21334670

#SPJ1

Answer:

20 gallons of water.

Step-by-step explanation:

4 water bottles = 8 gallons

1 water bottle = 2 gallons

X = Number of Water bottles

N = Gallons Per Water Bottle

X * N

10 * 2

20

Answer:

51.7%

Step-by-step explanation:

Because percent is out of 100, you multiply 0.517 by 100 and get 51.7, which is your percent.

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve this using unitary method ~

Therefore , the ostrich will run 105 meters in 5 seconds.

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

[tex] \red {\mathbb{ \underline { \tt By \: using \: Pythagoras \: theorm}}}[/tex]

[tex]h {}^{2} = p {}^{2} + b {}^{2} \\ x {}^{2} = (7 {}^{2} + 6 {}^{2} )ft {}^{2} \\ x {}^{2} = (49 +3 6)ft {}^{2} \\ x {}^{2} = 85 ft\\ x = \sqrt{85 } ft \\ [/tex]

the length of missing side= √85=9.2 ft

Answer:

Your correct Awnsers are A and D

Answer:

30

Step-by-step explanation:

Pythagorean theorem states that a^2 + b^2 = c^2

this theorem only works on triangles with an angle of 90 degrees or a right triangle.

18^2 + 24^2 = 900

the square root of 900 is 30

I did the square root of 900 because the square root is the 'opposite' of squaring which is what you need to do in order to find 'c' is the Pythagorean theorem. 'a' is 18, and 'b' is 24

Answer is 30

Answer:

33.3333% decrease

Step-by-step explanation:

Percentage Decrease = [ (Starting Value - Final Value) / |Starting Value| ] × 100

75 - 25 = 50

the price went from $75 to $50.

75 - 50 = 25

25 ÷ 75 = 0.3333333333333

0.3333333333333 x 100

= 33.3333%

Answer:

the discount was 33.3% off

Step-by-step explanation:

((New - Old)  / |Old|) x 100

((50 - 75) / |75|)  × 100

(-25 / 75) = -0.333

-0.333 x 100 = 33.3%

Answer:

The length of RS is 22

The length of UV is 22

Step-by-step explanation:

6x-8. ---------- equation (i)

4x+2 ------------ equation (ii)

Now,

equating equation i and ii, we get

6x-8 = 4x+2

or, 6x-4x = 2+8

or, 2x = 10

or, x = 10/2

.°. x = 5

Then,

length of RS = 6x-8

= 6×5-8

= 30-8

= 22

Again

length of UV = 4x+2

= 4×5+2

= 20+2

= 22

Answer:

The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form. In the sequence, the ratio 1/3 is the same and is called the common ratio

Step-by-step explanation:

The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form. In the sequence, the ratio 1/3 is the same and is called the common ratio

Answer:

A) 42 is the correct answer, I just did .84 times 50 and that equals 42.

Step-by-step explanation: