10x-3y=-17; y=x+1

10x-3(x+1)=-17

Answer:

? = 33

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan ? = opp / adj

tan ? = 13/20

Take the inverse tan of each side

tan ^-1 tan ? = tan ^-1 ( 13/20)

? = 33.02386756

To the nearest degree

? = 33

Answer:

33.

Step-by-step explanation:

inverse tan (13/20) = 33.023867579302

THIS IS THE COMPLETE QUESTION BELOW;

Which set of steps will translate f(x) = 6x to g(x) = 6x – 5 – 7?

Shift f(x) = 6x five units to the left and seven units up.

Shift f(x) = 6x five units to the right and seven units down.

Shift f(x) = 6x seven units to the right and five units up.

Shift f(x) = 6x seven units to the left and five units down.

Answer:

Shift f(x)=6x five units to the left and seven units down.

Step-by-step explanation:

We are told to translate the function below

f(x) = 6x to g(x) = 6x – 5 – 7

Which means the process to translate f(x) into g(x) is required.

According to the translation rule

f(x)-------->f(x)+a

If a<0 it shift to downward

If a>0 it shift to upward

Then we have

(X,y) ----->((x - 5, y)

There is a shift by x coordinates towards left by 5 units

then we would have the function as

f'(x) = 6(x-5)

Following the translation rule there is a shift by the function by 7 units downward direction then we have

(x,y) ----->(x,y -7)

Then we have g(x) = 6x – 5 – 7 as our translation product.

Therefore, shift f(x)=6x five units to the left and seven units down.

Answer:

[tex]\frac{2}{7} x[/tex]

Step-by-step explanation:

To find the slope of a line with 2 points we use the following formula.

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

So with the following points,

E(-4,4)

D(10,8)

So 8 is y2 and 4 is y1 8-4 = 4

10 - -4 = 14

Slope: 2/7x

Thus,

the slope of the line is 2/7x.

Hope this helps :)

Answer:

Devi's present age = 15 years

Devi's Mother's present age = 45 years

Step-by-step explanation:

Let the present age of Devi be x years.

Therefore, mother's present age = 3x

Five years ago:

Devi's age = (x - 5) years

Mother's age =( 3x - 5) years

According to the given condition:

Five years ago:

Devi's mother's age = 4 times Devi's age

3x - 5 = 4( x - 5)

3x - 5 = 4x - 20

20 - 5 = 4x - 3x

15 = x

x = 15 years

3x = 3* 15 = 45 years

Hence,

Devi's present age = 15 years

Devi's Mother's present age = 45 years

r = radius

h = r+12 = height, 12 more than the radius

[tex]V = \text{Volume of cone (oblique or not)}\\\\V = \frac{1}{3}\pi*r^2*h\\\\V = \frac{1}{3}\pi*r^2*(r+12)\\\\V = \frac{1}{3}\pi*r^2*r+\frac{1}{3}\pi*r^2*12\\\\V = \frac{1}{3}\pi*r^3+\frac{1}{3}*12\pi*r^2\\\\V = \frac{1}{3}\pi r^3+4\pi r^2\\\\[/tex]

ANSWER: SECOND OPTION

Answer:

[tex]x = 17[/tex]

Step-by-step explanation:

According to the two tangent theory, tangent MN and tangent NP, which are both from point N, are congruent.

That is, [tex]x + 4 = 21[/tex]

Solve for x

[tex]x + 4 = 21[/tex]

Subtract 4 from both sides

[tex]x + 4 - 4 = 21 - 4[/tex]

[tex]x = 17[/tex]

Answer:

32.8 cm

Step-by-step explanation:

decagons have 10 sides, so 328/10=32.8

Answer:

32.8 cm

Step-by-step explanation:

A regular decagon has 10 equal sides.

The perimeter of the decagon is 328 centimeters. The perimeter is the measure of all 10 sides added together. Since this is a regular decagon, all 10 sides are equal. Therefore, we can divide 328 by 10.

328 / 10

32.8

Add units, in this case, centimeters or cm.

32.8 cm

Each side of the decagon is 32.8 centimeters.

Answer:

x = 10 units, y = 5 units

Step-by-step explanation:

Given triangle ABC is a 30-60-90 triangle,

m∠C = 60°

By applying Sine rule in the given triangle,

Sin(60)°= [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

Sin(60)° [tex]=\frac{\text{AB}}{\text{AC}}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{\text{AB}}{\text{AC}}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{5\sqrt{3}}{x}[/tex]

x = 10 units

Similarly, by applying Cosine rule in the given triangle,

Cos(60)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

Cos(60)° = [tex]=\frac{\text{BC}}{\text{AC}}[/tex]

[tex]\frac{1}{2}=\frac{y}{x}[/tex]

y = [tex]\frac{x}{2}[/tex]

y = 5 units

Therefore, x = 10 units and y = 5 units will be the answer.

Answer:

x=5

Step-by-step explanation:

3x+1 = 4x -4

Subtract 3x from each side

3x+1-3x = 4x-3x-4

1 = x-4

add 4 to each side

1+4 = x-4+4

5 =x

Answer: x=5

Step-by-step explanation:

3x+1=4x+(-4)

3x+1=4x-4

3x+5=4x

5=x

Answer:

A is the correct answer

Hope this helps :)

Answer:

Step-by-step explanation:

This is because you have to substitute numbers.

So,

f(x) = 4 * 2^x

f(1) = 4 * 2^1 = 8

f(2) = 4 * 2^2 = 16

f(3) = 4 * 2^3 = 32

This shows exponential growth. Hope this helped!

Hope this helps,

Kavitha

Answer:

x = 8

or

x = -4

Step-by-step explanation:

3x² - 12x = 96

Divide both sides by 3

x² - 4x = 32

Add 4 to both sides

x² - 4x + 4 = 32 + 4

(x - 2)² = 6²

Find the square root of both sides

√(x - 2)² = √6²

x - 2 = +/- 6

x - 2 = +6 or -6

x - 2=+6

x=6+2

x=8

x - 2=-6

x=-6+2

x=-4

x = 8

or

x = -4

Answer:

-24

Step-by-step explanation:

g(-2) = 2(-2)

g(-2) = -4

h(4) = 4² + 4

h(4) = 16 + 4

h(4) = 20

g(-2) - h(4)

-4 - 20

= -24

Answer:

Step-by-step explanation:

g(x) = 2x

To find g( -2) substitute - 2 into g(x)

That's

g( -2) = 2(-2) = - 4

h(x) = x² + 4

To find h(4) substitute 4 into h(x)

That's

h(4) = (4)² + 4 = 16 + 4 = 20

So

g(-2) - h(4) is

- 4 - 20

= - 24

Hope this helps you

Answer:

23

Step-by-step explanation:

Raise 3 to the power of 3

27 - 4

Subtract 4 from 27

23

Hope this was correct

Answer:

23

Explanation:

step 1 - rewrite the expression with the value of x

[tex]x^3 - 4[/tex]

[tex](3)^3 - 4[/tex]

step 2 - solve the exponent

[tex](3)^3 - 4[/tex]

[tex]27 - 4[/tex]

step 3 - subtract

[tex]27 - 4[/tex]

[tex]23[/tex]

therefore, the value of the expression is 23.

Answer:

17) x = 11, -8

18) exact form: x = + 2 sqaure root 6/ 3 + 2

I hope this helps :)

Answer:

y = [tex]\frac{1}{2} x - 3[/tex]

x + y = 18

Step-by-step explanation:

Let the kitten's weight be y and the cat's weight be x

Condition # 1:

y = [tex]\frac{1}{2} x - 3[/tex]

Condition # 2:

x + y = 18

Answer:

b-What is the average number of rainbows each year in Honolulu?

c-How many pedestrians would use a walkway built over a busy road?

d-How many police cars are equipped with computers?

this is the answer

Step-by-step explanation:

E D G E N U I T Y

The situations it is appropriate to use a sample:

B. What is the average number of rainbows each year in Honolulu?

C. How many pedestrians would use a walkway built over a busy road?

D. How many police cars are equipped with computers?

Simple random sampling is a sampling technique in which each member of a population has an equal chance of being chosen, through the use of an unbiased selection method.  The sample is chosen by a random method as every subject in the sample is assigned a number.

Sampling saves money by granting researchers to gather the same answers from a sample that they would receive from the population. Non-random sampling is significantly cheaper than random sampling because it lowers the cost associated with searchinh people and collecting data from them.

Learn more about Sample Techniques here

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Answer:

61% is a reasonable choice

Step-by-step explanation:

The probability of a strike is 79% or 0.79

=> Independently, the probability of 2 consecutive strikes:

P = 0.79 x 0.79 = 0.6241 ~ 61%

Researchers are observing those with mumps to see how it affects hearing loss at all. There may be strong correlation, weak correlation, or no correlation at all.

With an experiment, researchers would break the participants into two groups: control group and treatment group. Those in the control group get the placebo (fake treatment) while the treatment group gets the treatment applied to them. If we were dealing with an experiment for this context, then the treatment group would get exposed to mumps on purpose. Of course, this is unethical and dangerous so an experiment for this type of project is not a good idea. It's better to go with an observational study.

Given: A water bottle cost 4 dollars and a hat cost 6 dollars.

Let x = Number of water bottles

y = Number of hats

The club wants to raise $1200.

i.e. Required equation : 4x+6y=1200

At x=0,

[tex]0+6y=1200\Rightarrow\ y=\dfrac{1200}{6}\Rightarrow\ y=200[/tex]

At x= 300

[tex]4(300)+6y=1200\\\Rightarrow\ 1200+6y=1200\Rightarrow\ 6y=0\Rightarrow y=0[/tex]

At x= 240

[tex]4(240)+6y=1200\\\Rightarrow\ 960+6y=1200\Rightarrow\ 6y=240\Rightarrow y=40[/tex]

So,three ordered pairs(x,y) that exist on the line : (0,200), (300,0) and (240,40)

Plot these point on graph and join them.

Answer: the other guy is correct. Got it right on my test. Have a nice day. :|

Step-by-step explanation:

The equation 4x – 3y = 24 can be represented in the slope-intercept form will be y = (4/3)x - 8.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

4x – 3y = 24

Convert the equation from standard form to slope-intercept form. Then we have

4x – 3y = 24

3y = 4x - 24

y = (4/3)x - 24 / 3

y = (4/3)x - 8

The equation 4x – 3y = 24 can be represented in the slope-intercept form will be y = (4/3)x - 8.

More about the linear equation link is given below.

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Answer: Stratified Sampling

Step-by-step explanation: Stratified Sampling involves creating subdivisions of the population such that each subdivisions is seen as a subgroup or smaller chunk of the population which is split based on certain criteria or attribute. The stratified random sampling may be employed in delineating certain characteristics or to investigate further how a feature or characteristics vary between one subdivision to the other.

In the scenario above, the researcher made use of the stratified sampling by performing a random sampling selection of its subjects based on the different subdivisions of students available in the college

Answer:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

Step-by-step explanation:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

The true statement is:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top . A cone has one face . There are no edges for a cone.

Properties of Cone

As, from the properties of cone we can say that.

A cone is one-third the size of a cylinder with the same height and radius. and, : A cone has a circular base..

Learn more about cone here:

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total frequency divided by no. of goals

30 ÷ 5

6

Answer:

[tex]Depth = 100m[/tex]

Step-by-step explanation:

Given

Initial Level = 340 m

Number of stages = 4

Difference in each stage = 60 m

Required

Determine the depth of the submarine after 4 stages

First, we have to calculate the total distance moved towards the surface of the sea;

This is calculated as

[tex]Total\ Distance = Number\ of\ Stages * Difference\ in\ each\ stage[/tex]

[tex]Total\ Distance = 4 * 60m[/tex]

[tex]Total\ Distance = 240m[/tex]

This implies that the submarine moved a total distance of 240 metres;

It;'s new depth is calculated as follows;

[tex]Depth = Initial\ Depth - Total\ Distance[/tex]

[tex]Depth = 340m - 240m[/tex]

[tex]Depth = 100m[/tex]

Hence, its new depth after 4 stages of rising is 100m

Answer:

B

Step-by-step explanation:

C is too little and D is too much

Answer:

The 8 square meters represent the product of the height by the width of the wall and therefore, its area.

Step-by-step explanation:

Ginnie is going to paint a wall and measures the height and the width, the walls are usually in the form of a rectangle or square. To find the area of both we need to multiply the height by the width (in the case of the square both are the same) and this will give us the total amount of paint that we need to paint the wall.

In this example, Ginnie finds that she needs enough paint to cover 8 square meters, therefore, these 8 square meters represent the product of the height by the width (that we don't know but it doesn't matter) of the wall and therefore, its area.

Answer: The number of possibilities = 380

Step-by-step explanation:

Given, There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen.

Since, captain and alternate captain comes in order.

Number of ways to choose r things out of n things (when order matters) :

[tex]^nP_r=\dfrac{n!}{(n-r)!}[/tex]

Number of ways to choose 2 players ( for  captain and alternate captain ) from 20 players :

[tex]^{20}P_2=\dfrac{20!}{18!}=20\times19=380[/tex]

Hence, the number of possibilities = 380

Answer:

The answer is C addition property of equality.

Step-by-step explanation:

In step 1, 7x − 25 = 4x − 1 there are the numbers -25 and -1

In step 2, 7x = 4x + 24 The -25 is removed and -1 is replaced with 24

Meaning that in step 2 25 was added to those numbers meaning the answer C addition property of equality.

Answer:

C

Step-by-step explanation:

Answer:

[tex]125m {}^{3}n {}^{6} [/tex]

Step-by-step explanation:

Since

[tex]a {}^{b} \times a {}^{c} = a {}^{b + c} [/tex]

[tex](5mn {}^{3} ) {}^{3} = (5) {}^{3}(m) {}^{3} (n {}^{3}) {}^{3} = 125m {}^{3}n {}^{3 + 3} = 125m {}^{3}n {}^{6} [/tex]

Hope this helps :) ❤❤❤

Answer:

[tex]125m^3n^9[/tex]

Step-by-step explanation:

[tex](a*b)^n=a^nb^n\\\\(5mn^3)^3=5^3m^3(n^3)^3\\\\125m^3(n^3)^3\\\\(a^b)^c=a^{bc}\\\\\rightarrow (n^3)^3=n^{3*3}=n^9\\\\\boxed{125m^3n^9}[/tex]

Brainilest Appreciated.