Select all sets of measurements that could identify the length, width, and diagonal of a rectangle, respectively.

A. 5 feet, 7 feet, 8 feet
B. 6 feet, 7 feet, 12 feet
C. 8 feet, 9 feet, 10 feet
D. 9 feet, 12 feet, 15 feet
E. 7 feet, 10 feet, 13 feet
F. 1.5 feet, 2 feet, 2.5 feet

The given observations suggest that the increase in population is directly proportional to the number of children born and the number of surviving children.

According to the question,

We have the following information:

An article in the New York times noted that the human population has shown a significant increase in height. when the relationship of height to reproductive success in humans was examined across three decades (1935-1967), height had a positive correlation to the number of children born and the number of surviving children.

It means if the number of children born and the number of surviving children is more then the population will also increase.

In other words, it can be said population is directly proportional.

Hence, the given observations suggest that the increase in the population is directly proportional to the number of children born and the number of surviving children.

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Answer:

Step-by-step explanation:

SOLVING

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6=-2(7-c)

Use distribution to multiply -2 by parenthesis

6=-14+2c

Add to both sides 14

20=2c

Divide 2 into both sides

10=c

5(h-4)=8

Use distribution to multiply 5 by the parenthesis

5h-20=8

Add to both sides 20

5h=28

Divide 5 into both sides

\(h=\frac{28}{5}\)

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The equation of line is y = 30x + 75 , where the slope is m = 30 and the y intercept is 75

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 105 )

Let the second point be Q ( 3 , 165 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 165 - 105 ) / ( 3 - 1 )

Slope m = ( 60 / 2 )

Slope m = 30

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 105 = 30 ( x - 1 )

On simplifying the equation , we get

y - 105 = 30x - 30

Adding 105 on both sides of the equation , we get

y = 30x + 75

Hence , the equation of line is y = 30x + 75

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Answer:

f(x) = 100 (3)^x  <===> C

f(x) = 100 (3.5)^x  <===> B

f(x) = 100 (4)^x <===> A

Step-by-step explanation:

Since the base of each of the exponential functions is the same, the higher the base, the higher up the graph will be with respect to another base with a lower value

This can be easily determined by choosing a specific value for x for each equation and seeing what the f(x) value is

Let's choose x = 2

For f(x) = 100 (3)^x, at x = 2 we get f(2) = 100(3)^2 = 100 x 9 = 900

For f(x) = 100 (3.5)^x, at x = 2 we get f(2) = 100(3.5)^2 = 100 x 12.25 = 12.25

For f(x) = 100 (4)^x, at x = 2 we get f(2) = 100(4)^2 = 100 x 16 = 1600

So for a specific value of x, the higher the base, the higher the graph is relative to the x-axis

So the matches are:

f(x) = 100 (3)^x  <===> C

f(x) = 100 (3.5)^x  <===> B

f(x) = 100 (4)^x <===> A

Percentage increment means the part of original value is added to the value. The new length of the living room is 14.4 feet long and new width of the living room is 1.6 feet long. The option A is the correct option.

What is the percentage of a number?

Percentage of a number or ratio is fraction of hundred. It is expressed with the sign "%".

Given information-

The length of the living room is 12 feet.

The width of the living room is 8 feet.

The owner increases the 20 percent of length and 20% width.

Suppose new length is  feet long. As the owner increases the 20 percent of length. Thus the new length will be sum of original length and the 20 percent of it. Hence,

Thus the new length of the living room is 14.4 feet long.

Suppose new width is  feet long. As the owner increases the 20 percent of width. Thus the new width will be sum of original width and the 20 percent of it. Hence,

Thus the new width of the living room is 1.6 feet long.

Hence the new length of the living room is 14.4 feet long and new width of the living room is 1.6 feet long. The option A is the correct option.

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Answer:

\(1\frac{1}{3}\)  

Step-by-step explanation:

Write a proportion comparing the Oliva Oil to Vinegar = Oliva Oil to Vinegar.

\(\frac{3/4}{1/2} = \frac{2}{?}\)

3/4 ? = 2(1/2)

3/4? = 1

  ? = 1 ÷ 3/4

  ? = 1 × 4/3

  ?  = 4/3

  \(? = 1\frac{1}{3}\)

Answer:

True.

Step-by-step explanation:

A rhombus has four side of the same length (sometimes) and bisecting diagonals.

A square has what a rhombus has, as well as what a rectangle has.

A rectangle has parallel sides, four right angles, and congruent diagonals.

That means that a square has four right angles, four sides of the same length, and bisecting diagonals.

That's why a square is a rhombus and a rectangle but not its converse.

So, true.

Every rhombus with four right angles is a square. Therefore, the given statement is true.

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square. Look at the image below to understand the relationship of rhombus shape with parallelogram and square.

A square is a quadrilateral with four equal sides. There are many objects around us that are in the shape of a square. Each square shape is identified by its equal sides and its interior angles that are equal to 90°.

Therefore, the given statement is true.

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Answer:

108.9

Step-by-step explanation:

180-(30.3+40.8)

180-71.1

108.9

Answer:

Hence he travels 45 km

Step-by-step explanation:

*Image*

Answer:

4

Step-by-step explanation:

Let the number = X

You have X^8 / X^5

When dividing two numbers with powers, Simplify the expression by subtracting the powers.

8-5=3

so X^8 / X^5 becomes x^3

Now you have x^3 = 64

To find x take the cubic root of 64:

X = ∛64

X = 4

The number is 4

Answer:

The correct opion is;

7 ≤ p

Step-by-step explanation:

The number of signatures Devin needs to collect = 1,000 signatures

The numer of signatures Devin has already = 380 signatures

The number ofsignatures each petition page can hold = 80 signatures

Therefore;

The number of extra signatures required = 1,000 - 380 = 680 signatures

The number of petition pages required = 1,000 petitions /(80 signatures/page)   = 12.5 pages

The number of pages already filled = 380 petitions /(80 signatures/page) = 4.75 pages

The number of pages remaining, p = 12.5 - 4.75 = 7.75 pages

Therefore, 7 ≤ p.

Answer:

the answer is A)7 ≤ p

Step-by-step explanation:

Answer:

15/28 loads of laundry needs to be washed.

Step-by-step explanation:

2/7 + 1/4

=  

2 × 4 + 1 × 7

7 × 4 + 4 × 7

=  

8/28 + 7/28

=  

8 + 7/ 28

=  

15/28

The first two numbers in each row of the relative frequency table represent the percentage of cars and trucks of a particular color out of the total number of vehicles in the parking lot.

To create a relative frequency table, we need to divide the frequency of each color by the total number of vehicles (65) and then multiply by 100 to get a percentage.

Relative Frequency Table by Color:

The first two numbers in each row must add up to 100% because we are calculating the relative frequency of each color with respect to the total number of vehicles (65). Therefore, the percentage of cars and trucks of each color must add up to 100% of that color's total frequency. The total row must also add up to 100% because it represents the entire population of vehicles.

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The given question is incomplete, the complete question is:

There are 65 vehicles in a parking lot. The frequency table shows data about the types and colors of the vehicles. Complete a relative frequency table to show the distribution of the data with respect to color. Use pencil and paper. Explain why the first two numbers in each row must add up to 100%. Frequency Table Type of Vehicle Color Car Truck Total Blue 22 14 36 Red 12 17 29 Total 34 31 65

The answer to 3 ÷ 1/3 is 1, so being honest with you I'm not 100% sure if you are right or not, but personally I would do C

I am so so so so sorry if I am wrong!!!

have a luvly day

Answer:

184.26 i dont exacaly know but i think it is just let me know if im right or wrong

Step-by-step explanation:

The expression to which the distance Kane run in a training session after w week is {3+(1÷4)w}...

Kane is training for a marathon. He start running 3 miles during every training session. Each week he plan to increase the distance of his running by 1/4 miles. Let 'w' be the number of week.

Let w be the number of week.

So the expression is formed  as that in 1st week if he sart running 3 miles and after every week 1/4 miles added ,it's mean 1 by forth part of one mile is added after every week so if;

we suppose that we have to calculate it for "w" weeks then these weeks will be multiply with 1/4 and then added to the starting miles which are 3 miles

So the expression will be:

{3+(1÷4)w}

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Your question is may be misspelled it will be...(Kane is training for a marathon. He start running 3 miles during every training session. Each week he plan to increase the distance of his running by 1/4 miles. Let 'w' be the number of week. Write an expression to how the distance Kane run in a training session after 'w' weeks?

Answer:

8

Step-by-step explanation:

Josh is 6 years older than 5 times Kim's age. The sum of their ages is less than 54. What is the oldest Kim could be?

J + k < 54 when  J = 5k + 6 so:

5k + 6  + k < 54

6k + 6 < 54

subtract 6 from both sides:

6k + 6 - 6 < 54 - 6

6k < 48

divide both sides by 6:

6k/6 < 48/6

k < 8

Kim could be 8 at maximum.

Answer:

i think 55

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

This answer makes the most sense because line l has the value 55.

Hope it helps!

Answer:

0.48

Explanation:

4.8 is greater than 0.48.

The cosine of a complementary angle to an angle with sine 0.891 is also 0.891.

The sine and cosine functions are trigonometric functions that are related to each other through complementary angles. Complementary angles are angles whose sum is 90 degrees or π/2 radians.

In this case, we are given that sin(63) = 0.891. To find the cosine of the complementary angle, we can use the identity: sin(θ) = cos(90 - θ).

Since sin(63) = 0.891, we know that sin(90 - 63) = 0.891. Therefore, the complementary angle to 63 degrees is 90 - 63 = 27 degrees.

Now, we can find the cosine of the complementary angle. Using the identity mentioned earlier, we have: cos(27) = sin(90 - 27) = sin(63) = 0.891.

Hence, the cosine of the complementary angle to an angle with sine 0.891 is also 0.891.

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the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4. To determine the minimum score needed to be in the top 7%, we need to use the properties of the normal distribution and the corresponding z-score.

First, we need to find the z-score that corresponds to the top 7%. This can be done by using the standard normal distribution table or a calculator with a normal distribution function. The z-score that corresponds to the top 7% is approximately 1.48.

Next, we can use the formula for transforming a z-score to a raw score:

raw score = z-score * standard deviation + mean    

Substituting the values given in the problem, we get:

raw score = 1.48 * 6.1 + 76.4

raw score = 85.48

Therefore, the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4.

In conclusion, the minimum score needed to be in the top 7% is 85.4. This calculation was performed by finding the z-score that corresponds to the top 7%, and then transforming the z-score to a raw score using the mean and standard deviation of the distribution.

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Using PEMDAS

We must first clear P which stands for Parentheses

The values in the parentheses are (12.9 -3.1)

so the first and right option is option c subtract 3.1 from 12.9

Step-by-step explanation:

\(\frac{9}{12} =\frac{15}{x+15}\)

\(\frac{3}{4} =\frac{15}{x+15}\)

3(x+15)=60

3x+45=60

3x=15

\(\frac{3x}{3} =\frac{15}{3}\\\)

\(x = 5\\\)

or..

\(\frac{9}{12} =\frac{15}{y}\)

\(\frac{3}{4} =\frac{15}{y} \\3y=60\\\frac{3y}{3} =\frac{60}{3} \\y = 20\)

According to the given statement line l₁ must contain the point (x, y) where x > 0 and y > 0 and line l₂ must contain the point (-y, x) where x > 0 and y > 0 and they must be true..

To determine what must be true about lines l₁ and l₂, let's analyze the given information.

We are told that lines l₁ and l₂ intersect at the origin.

This means that the point (0, 0) lies on both lines.

The slope of line l₁ is given as (y/x), where x > 0 and y > 0.

This means that for every increase of x, there is a corresponding increase of y.

In other words, as we move along the line in the positive x-direction, the y-coordinate increases.

Therefore, line l₁ must contain the point (x, y) where x > 0 and y > 0.

The slope of line l₂ is given as -x/y.

This means that for every increase of y, there is a corresponding decrease of x.

In other words, as we move along the line in the positive y-direction, the x-coordinate decreases.

Therefore, line l₂ must contain the point (-y, x) where x > 0 and y > 0.

In conclusion, line l₁ contains the point (x, y) and line l₂ contains the point (-y, x).

The slopes and points on the lines are determined by the given conditions, ensuring that the lines intersect at the origin (0, 0).

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l₁ contains points of the form (kx, ky) and l₂ contains points of the form (-ky, kx), where k is a positive constant. This is true because of the given slopes and the fact that the lines intersect at the origin.

Lines l₁ and l₂ intersect at the origin, which means that the point (0,0) lies on both lines.

Given that l₁ has a slope of (y/x) where x > 0 and y > 0, we can conclude that any point on l₁ can be represented as (kx, ky) where k is a positive constant. This is because for any positive values of x and y, the ratio y/x will always yield a positive value. Therefore, l₁ contains all the points of the form (kx, ky).

Similarly, l₂ has a slope of -x/y. By substituting x = -y and y = x, we can represent any point on l₂ as (-ky, kx), where k is a positive constant. This is because when we substitute -y for x and x for y, the ratio -x/y will also yield a positive value. Hence, l₂ contains all the points of the form (-ky, kx).

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Answer: 3

Step-by-step explanation:

Answer:

KD

JK

Step-by-step explanation:

Hope it helps you in your learning process