A 6.1 foot tall camper is standing on a 98 foot cliff looking down at his tent. The tent is 65 feet from the base of the
cliff, find the angle of depression to the nearest tenth.

The equation of the composite function is g(f(x)) = -2x - 6

The functions are given as:

f(x)= -2x - 5

g(x) = x - 1

In function g(x), we have:

g(x) = x - 1

Substitute f(x) for x

g(f(x)) = f(x) - 1

Substitute f(x)= -2x - 5

g(f(x)) = -2x - 5 - 1

Evaluate the difference

g(f(x)) = -2x - 6

This means that the equation of the composite function is g(f(x)) = -2x - 6

See attachment for the graph

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[tex]7(2p+4)-2(p-5)=14p+28-2p+10=12p+38[/tex]

Answer:

12p+38

Step-by-step explanation:

Expand the brackets and simplify :

14p+28 -2p+10 (-2×-5=+10 as the product of 2 negatives is always positive)

12p+38

This is our final answer as 12 and 38 are integers

Hope this helped and brainliest please

The students who has the method that is most representative of the school’s population is Amir.

Population refers to the group of people being studied in an experiment or the group from which a sample is drawn.

Amir has the method that is most representative of the school’s population because the method includes all students in the school studying different subjects but picked at random (every tenth students)

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Function

According to defination

A relation is called to be a function if every domain of the relation has an unique range .

Or

Here

Every domain has unique range

Hence it's a function

Answer:

Function

Step-by-step explanation:

The point is a function because it passes the vertical line test
It is not a relationship because each input have only 1 out put

Answer:

.

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

[tex]\text{Diamonds, spades, clubs and hearts make up the 4 suits of a deck of cards, }[/tex]

[tex]\text{which contains 52 cards. There are 13 diamonds in a pack.}[/tex]

[tex]\text{Probability of an event:}[/tex]

[tex]\text{ Number of favorable outcomes / Total number of outcomes}[/tex]

[tex]\text{Probability of getting a diamon}d = \frac{13}{52} = \frac{1}{4}.[/tex]

[tex]\text{So the chance that you draw out a diamond from a deck}=\frac{1}{4}[/tex] .

In 15 years, the average car releases 458.7 kilograms of nox.

We know that the average vehicle releases 1.39 grams per mile driven.

And, in average, that car drives 22,000 miles per year.

So in a year, a car releases:

M = (22,000)*1.39 g  = 30,580 g = 30.58 kg

In one year, the average car releases around 30.58 kilograms of nox.

Then in 15 years, the car releases 15 times that amount, then we have the product:

T = 15*30.58 kg = 458.7 kg

In 15 years, the average car releases 458.7 kilograms of nox.

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Answer:

Yes it is a right angled triangle

Step-by-step explanation:

If its a right triangle it would satisfy the Pythagoras theorem.

29.3^2 = 858.49

28.5^2 = 812.25

6.8^2 =  46.24

Adding the last 2 values:

812.25 + 46.24

= 858.49

So YES.

Answer:

y=-3/10x+1/2

use the coordinates to find the gradient (m)then substitute it in this formula y=mx+c

find c by substituting one of the coordinate

Answer:

all real numbers

ez clappp

Answer:

Yes, Sally has enough money to buy 28 cans of soda.

Step-by-step explanation:

Yes, because £10 = 1000p

1000p / 28p = 35 cans

35 cans < 28 cans

So Sally has enough money for 28 cans.

Answer:

96 cubic inches

Step-by-step explanation:

Volume=length*width*height

Your unknown is volume, which we can simplify as V.

Plugging in for the values of length, width, and height, we get [tex]v=8*3*4[/tex]

From there, we can simplify.

[tex]V=8*3*4\\V=24*4\\V=96[/tex]

To get the units, we know that the length, the width, and the height all are measured in inches.

[tex]V=inches*inches*inches\\V=inches^2*inches\\V=inches^3[/tex]

[tex]inches^3[/tex] can also be written as cubic inches, or inches cubed.

This gives you the answer of 96 cubic inches.

Answer:

The middle option on the top row

Step-by-step explanation:

Slope is calculated as rise/run between two points.

In this case it takes 4 up and 5 to the right to get between the two points, so the rise would be 4 and run 5.

Answer:

The x-intercept is at (-3, 0).

Step-by-step explanation:

log 1 = 0, so the x intercept of y = log x is at (1, 0).

The + 4 in the parentheses moves the whole graph 4 units to the left.

Therefore the x-intercept of log(x + 4) is where x = 1-4 = -3.

Answer:

2000

Step-by-step explanation:

2360-360

because it's says more trees tan last year so u minus

The two statements about the dilated quadrilateral a'b'c'd' are false.

bc and bc' are on the same line ( False)

The length of the cd and c'd' are the same. (False)

The complete question is attached with the answer below.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Here the quadrilateral abcd is dilated by the scale factor 5 / 2.So the new quadrilateral is a'b'c'd'.

The given two statements are false:-

bc and bc' are on the same line ( False)

The length of the cd and c'd' are the same. (False)

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The units used for area are squared length units, where the length units are: meter, inch, feet, etc.

The units used for surface areas are length units (meters, inches, feet, etc) squared.

Why we use those? Because area is defined as the product between the two dimensions (two sides of rectangle, for example) of a figure. And these dimensions are given in length units. So if we take the product of two of these, we will get squared length units.

The difference with volume units, is that for volume we need 3 dimensions, then we will have cubed length units.

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Answer:

C: 5%

Step-by-step explanation:

175 out of 3500 = 175/3500

175/3500 = 1/20

1/20 = 0.05

0.05 = 5%

Answer:

C 5%

Step-by-step explanation:

I am smart so trust me

The standard deviation of the population function is 2

The given parameters are:

M(x) = 2

M(x²)=8

The standard deviation is calculated using:

[tex]\sigma = \sqrt{M(x^2) - (M(x))^2[/tex]

Substitute known values

[tex]\sigma = \sqrt{8 - 2^2[/tex]

Evaluate the expression

[tex]\sigma = 2[/tex]

Hence, the standard deviation of the population function is 2

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The ratio of their surface areas will be a²/b². And the ratio of their volumes a³/b³.

The size is the amount of space covered by a two-dimensional hard surface.

The volume of an element or compound is the sufficient space it takes up, calculated in cubic units.

1.  The ratio of the surface area of similar solids

If the ratio of the corresponding edge lengths of two similar solids is a:b, then the ratio of their surface areas will be a²/b².

2.  The ratio of the volume of similar solids

If the ratio of the corresponding edge lengths of two similar solids is a:b, then the ratio of their volumes a³/b³.

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Answer:

2.5

Step-by-step explanation:

5 divided by 2 is 2.5

Answer:

Each person would get around 2.5 oranges.

Step-by-step explanation:

There are five oranges to split between two people- this can set up the equation 5 divided by 2 equals x. The answer to 5 divided by 2 is 2.5, meaning that each person would get around 2.5 oranges. I hope this helps! :)

The amount that Marcia will have saved in interest by consolidating the two balances is: b.$133.92.

First step

Calculating for credit card A monthly payment (12% APR) using financial calculator

=pmt(rate,nper,-pv,fv)

Where:

Rate=12%/12=1%

Nper =12 months×4 years=48

PV = $1,389.47

FV=0

Hence:

=pmt(1%,48,-1389.47,0)

=$ 36.59  

Second step

Monthly payments 16% APR=$39.38×48

Monthly payments 16% APR =$1890.24

Monthly payments  12% APR=$36.59×48

Monthly payment 12% APR=$1756.32

Third step

Amount saved in interest=$1890.24 -$1756.32

Amount saved in interest=$133.92

Therefore the correct option is B.

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Based on the area of the juicebox and the cost per square inch, the cost to create one package is $7.20.

First, find the area of the juice box. The formula is:

= 2lh + 2lw + 2hw

= (2 x 3 x 4) + (2 x 3 x 1.5) + (2 x 4 x 1.5)

= 45 inch²

The Cost is $0.02 per square inch and the number per package is 8 juice boxes. The total cost is:

= 45 x 0.02 x 8 boxes

= $7.20

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Answer:

2.8 s

Step-by-step explanation:

33x = 28x + 14(m)

5x = 14(m)

x = 2.8(s)

Answer:

x = 2.25 x = 11.25 x = 13 x = 22

Step-by-step explanation:

Answer:

733

Step-by-step explanation:

write it into improper fraction

simplify by finding the lcm