(8x-9y=-13
(2x-3y = -7

Answer:

13.7

Step-by-step explanation:

It forms a triangle.

They are trying to find the height, cause they say the east-bound car went east so that makes the bottom of the triangle, the width. They also give is the distance in between both cars so that's the hypotenuse so let's set up the equation...

15² - 6² = 189

now we square root it

√189 = 13.7

The measure of the angle formed by John with the points (1, 0), and (0, 0), obtained using the length the circumference of the track is therefore; 3 radians or about 171.9°

The circumference of a circle is the distance or length around the perimeter of the circle, which is the product of twice the length of the radius and pi.

The radius of the circular track = 1 mile

The center of rotation = (0, 0)

The distance John walks = 3 miles

Therefore, the ratio of the angle the formed by John can therefore be found as follows;

Learn more on the circumference of a circle here: https://brainly.com/question/31137578

#SPJ1

Answer:

ok

Step-by-step explanation:

Answer: f(x) and g(x) both represent y of the equations

Step-by-step explanation: f(x) and  g(x) both represent the y of the equation for example f(x)=mx+b or g(x)+mx+b both would be to find y of that specific equation and that would also make them inverses because you could use the table to label the inverses on a graph.

The inverse of the function is g⁻¹(x) = -1 + √(1 + 4x)/2.

Inverse functions are functions that can reverse the actions of the original functions.

An inverse function is the reverse of a function f.

It will map f's output back to its original input.

To find the inverse of a function f(x), switch x and y, and then solve the new equation for y.

If the inverse exists, it will be denoted by f⁻¹(x).

So, we will now find the inverse of the following functions:

f(x) = (3/2)x + 4; f⁻¹(x) = (x-4)/(3/2) = 2/3 (x-4)

Therefore, the inverse of the function is f⁻¹(x) = 2/3 (x-4).

g(x) = (x+8);

g⁻¹(x) = -1 + √(1 + 4x)/2

Since we're using a valid domain, we'll only choose the positive root; thus, g⁻¹(x) = -1 + √(1 + 4x)/2

Therefore, the inverse of the function is g⁻¹(x) = -1 + √(1 + 4x)/2.

To know more about inverse, visit:

https://brainly.com/question/30339780

#SPJ11

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

learn more on angles here: brainly.com/question/24195209

#SPJ1

Answer: red hot= $4

gummies=$9

Step-by-step explanation:

3r+1g=21

-(3r+3g=39)

3r+1g=21

-3r-3g=-39

-2g=-18

g=9

3r+1(9)=21

3r=12

r=4

There will be approximately $10,993,600 in the account after 2 years.

We have,

We can use the formula for compound interest:

\(A = P(1 + r/n)^{nt}\)

Where:

A = final amount

P = principal (initial amount)

r = annual interest rate (as a decimal)

n = number of times interest is compounded per year

t = time in years

Now,

P = $8,000,000

r = 0.15 (15% as a decimal)

n = 12 (compounded monthly)

t = 2

Substituting.

A = 8,000,000(1 + 0.15/12)^(12 x 2)

A = 8,000,000(1.0125)^24

A = 8,000,000(1.3742)

A = $10,993,600

Therefore,

There will be approximately $10,993,600 in the account after 2 years.

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ1

Answer:

77

Step-by-step explanation:

We Know

30% of r = 33

Find 1% by taking

33 / 30 = 1.1

What is 70% of R?

We take

1.1 x 70 = 77

So, 70% of R is 77

The question requires to first find the value of R by solving the equation (0.30*R = 33). Then, calculate 70% of R by multiplying the found R value with 0.70.

The question tells us that 30% of R equals 33. To find the value of R, we can set up an equation where 0.30 (which is 30% in decimal form) times R equals 33. Dividing both sides of the equation by 0.30 will give us the value for R. Once we have found R, we can then find 70% of R by multiplying R by 0.70 (70% in decimal form).

https://brainly.com/question/329987

#SPJ2

If the meniscus is on 6. Then the reading will be 6 mL which is 2 decimal places.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

Look carefully at the markings on a 10ml graduated cylinder.

Referring back to your experience with the rulers.

Then the number of the decimal places will this measuring device provide will be

Normally the 10-mL graduated cylinders are always read to 2 decimal places.

A. If the bottom of the meniscus is directly on 6, then the reading will be 6.00 mL i.e. 2 decimal places.

B. If the bottom of the meniscus is directly on the third line after 6, the reading will be 6.60 i.e. 2 decimal places.

C. If the bottom of the meniscus is between the third and fourth; line after 6, we can take a middle value between 6.60 and 6.80. Reading could be 6.70. Here also 2 decimal places are used.

More about the cylinder link is given below.

https://brainly.com/question/3692256

#SPJ4

The area of the square is 1/4inches² in square inches

The area of a square is calculated by multiplying its two sides, that is area = s × s, where, 's' is one side of the square.

The square has side of length = 6/12

this can be simplified as 1/2

so

area of the square = (1/2 × 1/2) inches ²

area of the square = 1/4inches²

Thus, the area of the square is calculated using area = s × s, as 1/4inches²

Know about area of square here: https://brainly.com/question/24487155

#SPJ1

Answer:

look below

Step-by-step explanation:

hope it helps:)

Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.

Step-by-step explanation: We can use cosine to find the hypotenuse. \(cos(40)=\frac{10}{x} \\cos(40) (x)=\frac{10}{x}(x)\\cos(40) (x) =10\\\frac{cos(40) (x)}{cos (40)} =\frac{10}{cos (40)} \\x=\frac{10}{cos(40)}\)

Using a calculator x is about 13.05

Using tangent we can find the length opposite of <C

\(tan(40)=\frac{x}{10} \\tan(40) (10)=\frac{x}{10}(10)\\tan(40) (10) = x\)

Using a calculator x would be about 8.4

Answer:

Step-by-step explanation:

Answer:

Coastal plain

Step-by-step explanation:

Answer:

It will be 2. (B) and 4. (D)

Step-by-step explanation:

I took the assignment and got it right :D

Answer:

B. The 25 should be for each percent, not dollar amounts.

D. There should be 4 columns of 25% that each equal $20.

Step-by-step explanation:

hope this helps :D

The estimated standard deviation to the nearest tenth is 0.9 (Option C). The approximate percentage of Danny's total investment that was in mutual funds in year 8 is 32.5% (Option A).

The given set of data showing the water temperature in a heated tub at different times:

116.1, 115.5, 116.7, 113.9, 116, 115.3, 113, and 113.4.

To estimate the standard deviation to the nearest tenth, we can use the range rule of thumb, which is a useful method for approximating the standard deviation of a data set. The range rule of thumb states that the standard deviation is about one-fourth of the range.

Arrange the given set of data in ascending order. 113, 113.4, 113.9, 115.3, 115.5, 116, 116.1, and 116.7

The range of the data is the difference between the highest and lowest values in the set.

Range = highest value - lowest value

Range = 116.7 - 113 = 3.7

Approximate standard deviation = ¼(range)≈ ¼(3.7)≈ 0.925

Therefore, the estimated standard deviation to the nearest tenth is 0.9 (Option C).

The stacked line chart shows the value of each of Danny's investments. Use the graph to answer the question.

In year 8, the total investment is $8000.

The thickness of the blue line represents Danny's investment in mutual funds, which was worth $2600 at that time.

Percentage of Danny's investment in mutual funds = (Value of investment in mutual funds / Total investment) × 100= ($2600 / $8000) × 100= 32.5%

Therefore, the approximate percentage of Danny's total investment that was in mutual funds in year 8 is 32.5% (Option A).

The stem-and-leaf diagram below shows the highest wind velocity ever recorded in 30 different US cities.

Find the lowest wind velocity recorded in these cities.

\(\begin{tabular}{l|l} 6 & 4 \\ 7 & 23 \\ 7 & 589 \\ 8 & 0111344 \\ 8 & 5568899 \\ 9 & 0012254 \\ 9 & 469 \end{tabular}\)

The given stem-and-leaf plot shows the highest wind velocities in miles per hour, rounded to the nearest unit. The lowest velocity will be the first number in the first row.

The lowest velocity is 64 mph.

Therefore, the lowest wind velocity recorded in these cities is 64 miles per hour (Option A).

Learn more about standard deviation visit:

brainly.com/question/29115611

#SPJ11

The inverse of the function f(x) = (1/2)x is f^(-1)(x) = 2x.

To find the inverse of a function, we need to switch the roles of x and y and solve for y. Let's follow the steps to find the inverse of the function f(x) = (1/2)x:

Step 1: Replace f(x) with y: y = (1/2)x.

Step 2: Swap x and y: x = (1/2)y.

Step 3: Solve for y: Multiply both sides of the equation by 2 to isolate y: 2x = y.

Step 4: Replace y with f^(-1)(x): f^(-1)(x) = 2x.

Therefore, the inverse of the function f(x) = (1/2)x is f^(-1)(x) = 2x.

We can verify this by composing the function and its inverse. If we apply f(x) followed by f^(-1)(x), we should get the original value of x. Let's check:

f(f^(-1)(x)) = f(2x) = (1/2)(2x) = x.

As expected, the composition of the function and its inverse gives us the original value of x, indicating that we have found the correct inverse.

For more such question on function. visit :

https://brainly.com/question/11624077

#SPJ8

Answer:

The choice A ;

\( \frac{1}{ {7}^{8} } \)

Step-by-step explanation:

\( \frac{ {7}^{ - 6} }{ {7}^{2} } = \frac{ {7}^{ - 6 - 2} }{1} = {7}^{ - 8} = \frac{1}{ {7}^{8} } \\ \\ \\ or. \: \frac{ {7}^{ - 6} }{ {7}^{2} } = \frac{1}{ {7}^{ 2 + 6} } = \frac{1}{ {7}^{8} } \)

Hii!

Answer:

Step-by-step explanation:

Use the rule of exponents.

If we divide two numbers with the same bases, we subtract the exponents.

7^-6/7^2=7^-6-2=7^-8

Now, if we have a negative exponent, we flip over the number.

7^-8=1/7^8

Great job!

—

Hope that this helped.

Hey There! Not sure what pyramid you're talking about But I can help you by explaining how to solve the volume of a pyramid. The Formula of a pyramid is 1/3 x base area x height. So, you can multiply 1/3 or 0.33333333 (Decimal version of 1/3) by the base than multiply it with the Height. Hope this helps! Also, perhaps next time put what pyramid you are talking about!

Answer:

it would take Jime 300 hours to get 7200 brownies at a rate of 2 brownies every 5 minutes.

Step-by-step explanation:

If Jime is getting 2 brownies every 5 minutes, he is getting 24 brownies every hour (2 brownies/5 minutes * 60 minutes/1 hour = 24 brownies/hour).

To find out how long it would take Jime to get 3600 brownies at this rate, we can set up a proportion:

24 brownies/hour = 3600 brownies/x hours

Solving for x, we get:

x = 150 hours

Therefore, it would take Jime 150 hours to get 3600 brownies at a rate of 2 brownies every 5 minutes.

To find out how long it would take him to get 7200 brownies at the same rate, we can use the same approach:

24 brownies/hour = 7200 brownies/x hours

Solving for x, we get:

x = 300 hours

Ans43156

Step-by-step explanation:

L

Answer:

see explanation

Step-by-step explanation:

(3)

Opposite angles are congruent , so

9x - 5 = 103 (add 5 to both sides )

9x = 108 ( divide both sides by 9 )

x = 12

Consecutive angles are supplementary, sum to 180° then

7y + 103 = 180 ( subtract 103 from 180 )

7y = 77 ( divide both sides by 7 )

y = 11

------------------------------------------------------------------

(4)

Opposite sides are congruent, so

3x = 36 ( divide both sides by 3 )

x = 12

and

5y = 45 ( divide both sides by 5 )

y = 9

Answer:

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Jennifer conducted a study involving 60 students to investigate the effects of a new drug on memory. After a period of three weeks, she compared the memory performance of students who received the drug with those who received a placebo.

Jennifer's study aimed to assess whether the newly invented drug had any impact on memory. To gather data, she selected a sample of 60 students and random assigned them into two groups: one receiving the drug and the other receiving a placebo. After three weeks, Jennifer assessed the memory performance of each participant.

By comparing the memory performance between the two groups, Jennifer could determine whether any differences existed. If the group receiving the drug demonstrated significantly better memory performance compared to the placebo group, it would suggest that the drug had a positive effect on memory. On the other hand, if there were no significant differences between the two groups, it would imply that the drug did not have a noticeable impact on memory.

Analyzing the data collected from the study, Jennifer could draw conclusions about the effectiveness of the new drug in enhancing memory. However, it's important to note that further analysis and replication of the study would be necessary to establish the drug's efficacy and ensure the reliability of the results.

Learn more about randomly here:

https://brainly.com/question/23701039

#SPJ11

Comprimento da base:24cm

Largura da base:10cm

Aresta lateral=X

Área da base:240cm²

Você divide o retângulo em dois, formando um triângulo retângulo, e a hipotenusa é equivalente a aresta lateral das faces da pirâmide.

Logo, só fazer Pitágoras

10²+24²=X²

100+576=X²

X=√676

X=26cm

Com isso, podemos calcular as faces laterais.

10.26/2=130²

24.26/2=312cm²

Logo, área total= área da base + 2(faces laterais)

At=240+2(130+312)

At=240+884

At=1124cm²

Espero ter ajudado

Theta has a reference angle of 30° and is in Quadrant I or II.

Sin(theta) = ½

Basic angle: 30

The acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle sandwiched between the terminal side and the x-axis.

Angles: 30,

180-30 = 150

Because sin is positive in quadrants 1 and 2.

To learn more about the terminal side  visit:

https://brainly.com/question/1982296

#SPJ1