x
12
20
48
y
9
15
24
The table gives values from a linear relationship.
• Complete the table
• Write an equation that represents the relationship shown in the
table.

Answer:

b*b^5

Step-by-step explanation:

The three-dimensional shape is formed would be as;  rectangle

Consider the square that has to be rotated about the axis as shown in the picture.

In the attached diagrams this square is black rectangle ABCD.

While rotating each point of the square will describe the circle. The circles with the greatest radii will be circles made by the points from the side that is opposite to the side on the axis of rotation.

We can take that point in any of the two surrounding quadrants. Example, if the point is on the positive x axis, then it can taken as of first quadrant or fourth quadrant.

The formed figure appears to be a rectangle.

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Answer:

16 inches

Step-by-step explanation:

with the given information, you can imagine a line like this:

     12           4

P------------R----Q

so in order to find PQ, you can add the two given segments since they make up PQ:

12 + 4 = 16

your answer is 16 inches

The measure of line segment PQ is 16 inches.

A line segment is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon.

Given that, PR = 12 inches and QR = 4 inches.

If R is midpoint of PQ, then

PQ=PR+QR

= 12+4

= 16 inches

If Q is midpoint of PR, then

Then, PQ=PR-QR

=12-4

= 8 inches

Therefore, the measure of line segment PQ is 16 inches.

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Answer:

96 and 288

Step-by-step explanation:

So, we need to find 2 numbers such that their sum is 8 and they do not have common factor (Relatively prime). Both these numbers will be divisible by 48 but there would be no other common divisor (after dividing by 48).

Such order independent pairs are (1,7) and (3,5).

Difference between them would be (7–1)*48=6*48 and (5–3)*48=2*48 respectively.

The differences are 6*48=288 and 2*48=96.

We have found difference without finding numbers.

Ans.: 96 and 288

p.s.: The number pairs (again order neutral) would be (48, 336) and (144, 240)

Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288.

Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF). The difference is 96.

Answer:

The width of the rectangular yard is 72 inches

Step-by-step explanation:

Let

L -----> the length of the yard

W ----> the width of the yard

we know that

The perimeter is equal to

we have

substitute in the formula and solve for W

Divide by 2 both sides

Subtract 5 both sides

Convert feet to inches

Remember that

1 ft= 12 in

Step-by-step explanation:

The width of the rectangle is 6 feet or 72 inches if the perimeter of the yard is 22 feet, and the length of his yard is 5 feet.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.

Perimeter of the rectangle :

P = 2L + 2W

L = 5 feet

22 = 2(5) + 2W

After calculating:

W = 6 feet

1 feet = 12 inches

6 feet = 72 inches

Thus, the width of the rectangle is 6 feet or 72 inches if the perimeter of the yard is 22 feet, and the length of his yard is 5 feet.

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Answer:

D

Step-by-step explanation:

A and D are both equidistant from the x- axis, that is

A is 3 units above the x- axis and D is 3 units below the x- axis

then the x- axis is the line of symmetry

The correct option is that C. Carmen disagreed and said, "No, the answer is 72x^12"

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

It should be noted that when dividing exponents with same base, we will subtract the powers and when multiplying them, we will add the powers.

Here, the study team was discussing how to multiply 6x^10 by 12x^2. Therefore, this will be:

= 72 × x^(10 + 2)

= 72x^12.

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Answer:

  y = {-1/2x +7 for x < 6; 1/2x +1 for x ≥ 6}

Step-by-step explanation:

You want y = 1/2|x -6| +4 written as a piecewise function.

The absolute value function changes its definition when its argument is negative:

  y = |x|   ⇒   y = -x for x < 0, and y = x for x ≥ 0

This means our piecewise function will have one definition for (x-6) < 0 and another for (x -6) ≥ 0.

The argument is negated in this domain, so we have ...

  y = -1/2(x -6) +4

  y = -1/2x +3 +4

  y = -1/2x +7

The absolute value function is an identity function in this domain:

  y = 1/2(x -6) +4

  y = 1/2x -3 +4

  y = 1/2x +1

Combining these descriptions into one, we have ...

  \(\boxed{y=\begin{cases}-\dfrac{1}{2}x+7&\text{for }x < 6\\\\\dfrac{1}{2}x+1&\text{for }x\ge6\end{cases}}\)

<95141404393>

NOTE: sorry if im wrong

ANSWER: C.

Answer:

a)

c)

d)

Step-by-step explanation:

a) true : from inspection of the graph, when h=0, g=50, so g(0)=50

b) false : we are told that h is hours after 8:00am.  Therefore, when h=12, this would be 8:00pm

c) true : from inspection of the graph, the maximum temperature occurs when h=7. We are told that h is hours after 8:00am, so when h=7 this would be 15:00 = 3.00pm

d) true : from inspection of the graph, we can see that when h=11, g≈62 and when h=8, g≈74.  Therefore g(11) < g(8)

e) false : at 8.00am, h=0 and g=50.  At 1.00pm, h=5 and g≈71.  71-50=21.  21≠10.

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1 liter of water equals 1000 milliliters.

To find who has more water, you need to convert (the unit) of each person to either liters or milliliters.

Since it asks for millimeters, I'm going to convert Tutu's 7/10 liters to milliliters. Since there are 1000 milliliters in every liter, you have to multiply 7/10 by 1000. 7/10 multiplied by 1000 is 700.

So Pete has 500 milliliters of water and Tutu has 700 milliliters of water.

Now you need to find the difference of 700 and 500 by subtracting.

700-500=200

Tutu bought 200 more milliliters of water than Pete.

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Answer: 102 people and the sample is people with pre-owner vehicles.

Step-by-step explanation:

Step-by-step explanation:

the first option is the correct answer.

Answer:

It is A

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer:

Step-by-step explanation:

How Far Can A Snail Travel In One Hour

If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.

Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.

This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.

Answer:

B

Step-by-step explanation:

y-(-9) = -6(x-(-4)), y = -6x-33

The Gross pay which Derek gets is 690 dollars.

Gross pay is what employees earn before taxes, benefits and other payroll deductions are withheld from their wages. The amount remaining after all withholdings are accounted for is net pay or take-home pay.

Here, Total hours worked by Derek = 43 hours

Rate of pay = $15 per hour

Rate of pay beyond 40 hours = $30 per hour

Now,

Rate of pay for the first 40 hours = 40 X 15 = $ 600

Since the pay rate doubles after 40 hours,

Rate of pay for the remaining 3 hours = 3 X 30 = $ 90

Gross Pay = 600 + 90 = $ 690

Thus, the Gross pay which Derek gets is 690 dollars.

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You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Simplifying the fraction, we get: 21/53 = (37)/(317) = 7/17.

What is fraction?

A fraction is a mathematical term that represents a part of a whole or a ratio between two quantities. It is a way of expressing a number as a quotient of two integers, where the top number is called the numerator, and the bottom number is called the denominator.

For example, in the fraction 3/5, 3 is the numerator and 5 is the denominator. This fraction represents the ratio of three parts out of a total of five equal parts. It can also be expressed as a decimal, which is 0.6 in this case.

To calculate the fraction of the days when it rained that Bailey's prediction was correct, we need to find the number of days it rained and Bailey predicted rain, and divide it by the total number of days it rained.

Looking at the frequency tree, we see that Bailey predicted rain 29 times in total, and it actually rained on 21 of those days.

Therefore, Bailey's prediction was correct on 21/53 of the days when it rained.

Therefore, Simplifying the fraction, we get:

21/53 = (37)/(317) = 7/17

So, the answer is 7/17.

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6,397 x 349 =   6000    x   300    = 1,800,000

I rounded 6,397 to 6,000

I rounded 349 to 300

Multiplying 6,000 and 300 is the same as multiplying 6 and 3 to get 18, then we tack on five zeros to the result. The five zeros come from the total number of zeroes in 6000 and 300

We have 3 zeros in 6000 and 2 zeros in 300, so 3+2 = 5 zeros total.

So this estimation technique allows you to multiply large numbers like this very quickly without needing a calculator or pencil/paper.

Since 6397 rounded down, and 349 rounded down too, this means the result of 1,800,000 is an underestimate of the true value which is

6,397 x 349 = 2,232,553

The estimate isn't too far off.

Answer:

its sounds like this means 10^1000?

the answer would be 1E1000

if it says 1000^10, the answer is 1E30

One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.

The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.

To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.

To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.

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An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

<

Step-by-step explanation:

1) Substitute 5 into the question

2) Work out the sides

3) Put it into an inequality

5 < 7

Hope this helps, have a great day!

Answer:

...

Step-by-step explanation:

Answer:

Ok

Step-by-step explanation:

lolahsusnakaijaahasjssn

The diagram which best represents the hiking track of the hiker is attached below.

As time increases, speed is constant, i.e., 214 miles per hour

So, the distance increases with an increase in time.

Speed = Distance/Time

Let, Distance = D and Time = T,

214 = D / T

D = 214T

Let, D = Y coordinate, Time = X coordinate

y = 214 x→→Equation of the line passing through the origin and slope 214.

For the given situation, the equation is a linear equation and the equation will be on the y-axis.

Hence, a diagram that represents this information is:  

Correct question :

A hiker began hiking from the 0-mile mark of a trail. The hiker walked at a steady rate of 214 miles per hour. Draw the diagram which best represents this information?

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Answer: A) (2x+1)(2x−1)

How to: Since both terms are perfect squares, factor using the difference of squares formula,

Have a great day and stay safe !

Answer:

Its the second option

Step-by-step explanation:

Answer:

option 2

Step-by-step explanation:

4/3 is the correct answer

Answer:

perimeter = 12

Step-by-step explanation:

In a right-angled triangle, a² + b² = c²

where c is the hypotenuse, and a and b are opposite and adjacent, either way.

have a look at attached documents for answer and explanation