The data set represents the shoe sizes of 19 students in a fifth-grade physical education class

Answer:

Total volume = 355 cm³

Step-by-step explanation:

Volume of the irregular prism = volume of part A + volume of part B

Volume of part A which is also a rectangular prism = Length × width × height

= (11 - 5) × 5 × 6

= 6 × 5 × 6

= 180 cm³

Volume of rectangular prism B = 5 × 5 × (6 + 5)

                                                   = 5 × 5 × 11

                                                   = 275 cm³

Total volume = 180 + 175

                      = 355 cm³

Answer:

its A.

Step-by-step explanation:

Answer:

y= 1/4 x +7

Step-by-step explanation:

The slope intercept form of a line is

y = mx + b where m is the slope and b is the y intercept

the slope is 1/4 and the y intercept is 7

y= 1/4 x +7

Answer:

Step-by-step explanation:

Some of the expressions that can be derived that have the values of 12 are:

i. 2a = 2 x 6

      = 12

ii. 3b = 3 x 4

        = 12

iii. (b  + c) x a = (4 - 2) x 6

                = 2 x 6

                = 12

iv. 2b + \(c^{2}\) = (2 x 4) + (-2 x -2)

                = 8 + 4

                = 12

v. \(b^{2}\) -  \(c^{2}\) = (4 x 4) - (-2 x -2)

             = 16 - 4

             = 12

vi. \(c^{4}\) - b = (-2 x -2 x -2 x -2) + 4

             = 16 - 4

             = 12

Distance between two coordinates:

Given point: b) (10, -5) and ( -6, 7)

Substitute the value in the expression of distance formula

The distance between coordinates (10,-5) & (-6,7) is 20 unit

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

Therefore, it will take approximately 13.7 years for the population to double.

a. To determine the growth rate, you need to calculate the percentage increase in population. The formula for growth rate is:

Growth Rate = (New Value - Old Value) / Old Value * 100

Using the given values, we have:

Growth Rate = (1577 - 1500) / 1500 * 100
Growth Rate = 77 / 1500 * 100
Growth Rate ≈ 5.13%

b. To write a general equation for the population, you can use the formula:

p(t) = p(0) * (1 + r/100)^t

where p(t) is the population at time t, p(0) is the initial population, r is the growth rate, and t is the number of years.

c. To estimate the population in 2010, we need to find the population at time t = 2010 - 2000 = 10 years. Using the general equation from part b, and substituting the given values:

p(10) = 1500 * (1 + 5.13/100)^10
p(10) ≈ 1500 * (1.0513)^10
p(10) ≈ 1500 * 1.6436
p(10) ≈ 2465.4

Therefore, the estimated population in 2010 is approximately 2465.

d. To find out how many years it will take for the population to double, we need to solve the equation:

2 * p(0) = p(0) * (1 + r/100)^t

Simplifying the equation, we have:

2 = (1 + r/100)^t

Taking the logarithm of both sides, we get:

log(2) = t * log(1 + r/100)

Finally, solving for t, we have:

t = log(2) / log(1 + r/100)

Substituting the growth rate from part a, we have:

t = log(2) / log(1 + 5.13/100)
t ≈ log(2) / log(1.0513)
t ≈ 13.7 years

Therefore, it will take approximately 13.7 years for the population to double.

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To calculate the average rate of change of a function from x = -1 to x = 1, we need to find the difference in the function's values at those two points and divide it by the difference in the x-values.

Let's denote the function f(x). The average rate of change (AROC) is given by:

AROC = (f(1) - f(-1)) / (1 - (-1))

To determine the function's values at x = 1 and x = -1, we need more specific information or a graph of the function f(x).

Without that information, we cannot provide an accurate answer or simplify the fraction.

If you can provide the function's equation or a graph, I would be more than happy to assist you in finding the average rate of change.

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238 = 84 + p

definition of more than is to add.

definition of "is" is total

To find the probability of the event "the first die is 6 or the sum is 8," we need to count the number of outcomes that satisfy this event and divide it by the total number of possible outcomes.

To find the probability of the event "the first die is 6 or the sum is 8," we need to consider the total possible outcomes when rolling two dice and the favorable outcomes for this event.

Total possible outcomes: 6 sides on each die, so there are 6 x 6 = 36 possible outcomes.

Favorable outcomes:
1. First die is 6: There are 6 possible outcomes (6,1), (6,2), (6,3), (6,4), (6,5), and (6,6).
2. Sum is 8: There are 5 possible outcomes (2,6), (3,5), (4,4), (5,3), and (6,2).

However, (6,2) is counted twice, so we should subtract 1 from the total favorable outcomes: 6 + 5 - 1 = 10.

Probability = Favorable outcomes / Total possible outcomes = 10/36. Simplifying the fraction gives 5/18.

So, the probability of the event "the first die is 6 or the sum is 8" is 5/18.

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Yes, irrational numbers such as π are included in the domain of the function f(x) = 7.

The domain of a function is the set of all possible input values (x) for which the function is defined. In the case of the function f(x) = 7, the output value (y) is always equal to 7, regardless of the input value.

Since every real number, including irrational numbers like π, can be an input value for f(x) = 7, the domain of this function is the set of all real numbers, which includes both rational and irrational numbers. Therefore, π is included in the domain of the function f(x) = 7.

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Answer:

B (-4, -5)

Step-by-step explanation:

A midpoint has to be exactly in the middle making the line split equally. I used Desmos to get my answer (it's a graphing calculator). And the line was slanted. Hope it's right! Plz tell is not!

Answer:

20

Step-by-step explanation:

Answer:

4x4+2x2

=16+4

=20

find the square root of the two numbers and add them

Answer:

D

Step-by-step explanation:

4.25 × the amount of cheese you buy (x) equals the total cost (y)

Answer:

D. y = 4.25x

Step-by-step explanation:

You multiple the price per pound by the number of pounds. Can I have brainliest? Thanks!

The graph represents the relationship between the number of games downloaded and the total cost in dollars. The ratio of total cost to the number of games downloaded is $2.50 per game.

The given graph shows the relationship between the number of games downloaded and the total cost in dollars of the downloads. It can be observed that when 2 games are downloaded, the total cost is $5.

To determine the ratio of total cost to the number of games downloaded, we divide the total cost by the number of games.

This results in a ratio of $2.50 per game downloaded. Thus, the ratio of total cost (in dollars) to the number of games downloaded is $2.50 per game.

This means that on average, each game downloaded costs $2.50.

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Answer:

16u^2 and 16u

Step-by-step explanation:

Hello! :)

Well, the only difference in the two points is from the 0 and the -4. That means the square is 4 units in length and width.

A=B*H=4*4=16 u^2

P=B*4=4*4=16 u

Answer:

Area 47.516589 cm2 (square centimeters)

Step-by-step explanation:

Answer:

30% Markup

Step-by-step explanation:

10-7= 3 3=30%

$700/100 = 7 so they were originally bought at $7. they are sold at $10 so they are raised by $3. the percent they are raised by is 3/7, or about 43%

Answer:

x = -4, y = 3

Step-by-step explanation:

In one equation (let's use the top one), solve for one of the variables (let's solve for y first).

5x - 2y = - 26 --> -2y = -5x - 26 --> y = (5/2)x + 13

Now, substitute ((5/2)x + 13) in for y in the second equation.

-7x + 4((5/2)x + 13) = 40 --> -7x + 10x + 52= 40 --> 3x = -12 --> x = -4

Then, subtitute that in to one of the equations.

5(-4) - 2y = -26 --> -20 - 2y = -26 --> -2y = -6 --> y = 3

Answer: DE = 17

Step-by-step explanation:

You can solve by similar triangle ratios or by pythagorean theorem:

AB/CD = CD/x

54/76.5 = 12/x

Solve for x:  54x = 12(76.5) = 918

x = 918/54 = 17

Or, because CDE is a right triangle:

\(12^{2} + 12^{2} = x^{2}\)

\(x^{2} = 288\\\)

x = \(\sqrt{288} = 17\)

To find the slope of the line representing the ramp, we can use the formula for slope:

slope = (change in vertical distance) / (change in horizontal distance)

In this case, the change in vertical distance is 4 feet (the height of the building entrance), and the change in horizontal distance is 20 feet (the distance from the base of the ramp to the building).

Therefore, the slope of the line representing the ramp is:

slope = 4 feet / 20 feet = 1/5

The slope of the ramp line is 1/5.

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Answer:

80,000

Step-by-step explanation:

Since 8 is 4 spaces to the left, it’s in the 10,000’s range, making it 80,000

There are 9 possible schedules to play basketball such that dave can play on monday or wednesday or both which is union of two set .

so this question seems like we have to take union of ways of palying on monday or wednesday

let n(m) be number of ways of playing on monday

n(w) be number of ways of playing on wednesday

we have to find n(m∪w)

n(mUw) = n(m) +n (w) - n(m∩ w)

so n(m) = \(4_C__2\) as one day is now fixed which is monday so we have 4 available days and 2 days to play.

n(m) = \(4_C__2\)  = 6

similary n(m) = n(w) = 6

now  n(m∩w) = \(3_C__1\) as now we have  2 fixed day and we have 3 day remaining and only one day to play.

n(m∩w) = \(3_C__1\) =3

now n(mUw) = n(m) +n (w) - n(m∩ w)

=> 6 + 6 -3

=> 12 - 3

so n(mUw) = 9

so we have 9 schedules to paly keeping condition given in the question.

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Answer:

(x-7)²+(y+24)² = 625

Step-by-step explanation:

A circle with center (h, k) and radius r can be represented as

(x-h)²+(y-k)² = r²

We know the center and one point, and need to find the radius. The radius is equal to the distance from the center to any point on the circle. Therefore, we need to find the distance from the center to the point on the circle (in this case, the origin) to obtain the radius.

The distance formula for points (x₁, y₁) and (x₂, y₂) is √((x₁-x₂)²+(y₁-y₂)²). Note that x₁ and x₂ (as well as y₁ and y₂) are interchangeable but x₁ and y₁ or x₂ and y₂ are not.

Our distance between (7, -24) and the origin is

√((x₁-x₂)²+(y₁-y₂)²) = √((7-0)²+(-24-0)²)

= √625

= 25

Therefore, the radius is 25 and our equation is

(x-7)²+(y-(-24))² = (x-7)²+(y+24)² = 25² = 625

Answer: -8.3 + 9.2 - 4.4 + 3.7

= -8.3 + 9.2 + (-4.4) + 3.7            {Additive inverse}

= -8.3 + (-4.4) + 9.2 + 3.7            {Commutative Property}

= [ -8.3 + (-4.4] + [ 9.2 + 3.7]       {Associative property}

=  - 12.7 + 12.9

= 0.2

Step-by-step explanation: I copied it from someone hope it helps though! :D

Answer: Rs. 1,650

Step-by-step explanation:

First find the original price of the watch.

If the watch is sold at Rs. 1,275, there is a 15% loss.

Assume the watch is x.

(1 - 15%) * x = 1,275

0.85x = 1,275

x = 1,275 / 0.85

x = Rs. 1,500

Now add a 10% markup on the original:

= (1 + 10%) * 1,500

= 1.1 * 1,500

= Rs. 1,650