Caleb and his sister are combining their trading cards. He has 29 cards, and she has 16 cards. They then trade an equal number of cards to 9 friends. How many cards does each friend get?

Answer:

Step-by-step explanation:

You are right it is 8!

Answer:

I've done this b4

(0, 1), (2, 7), (3, 4), (-4, 1) , (-6, 7)

Answer:

  16

Step-by-step explanation:

Your weight is (roughly) proportional to the inverse of the square of the distance you are from the center of the earth. If that distance is reduced to 1/4 its previous value, then your weight will be multiplied by the factor ...

  1/(1/4)² = 16

You would weigh 16 times as much.

_____

Additional comment

The distribution of mass within the earth also affects your weight.

Using the point-slope form of a linear equation and the given point (2/7), we derived the equation y = 3x - 4/7 for line t. This equation represents a line with a slope of 3 passing through the point (2/7).

To find the equation of line t, which is parallel to the line y = 3x + 2, we first need to determine the slope of the given line. In the equation y = 3x + 2, the coefficient of x (3) represents the slope. Since line t is parallel to this line, it will have the same slope.

Therefore, the slope of line t is also 3.

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of line t. The point-slope form is given by:

y - y₁ = m(x - x₁),

where (x₁, y₁) represents a point on the line and m is the slope.

We are given that line t passes through the point (2/7). Plugging in these

values into the point-slope form, we get:

y - (2/7) = 3(x - 2/7).

To simplify the equation, we can distribute 3 to both terms inside the parentheses:

y - (2/7) = 3x - 6/7.

Next, we can isolate y by adding (2/7) to both sides of the equation:

y = 3x - 6/7 + 2/7.

Combining the fractions on the right side gives:

y = 3x - 4/7.

So, the equation of line t is y = 3x - 4/7, in the form y = mx + c.

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The characteristic that does not apply to a theoretical normal distribution is C) It is bimodal.

The main answer is C. An explanation for this is that a normal distribution has a single peak at the mean, and as we move away from the mean in either direction, the frequency of occurrence decreases.

Therefore, a normal distribution can never have two distinct peaks, making it impossible for it to be bimodal. All other options are characteristics of a normal distribution. In conclusion, a theoretical normal distribution is never negative, bell-shaped, and has equal mean, median, and mode, but it is not bimodal.

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Answer:

Surface area of the cone = 1306.24 square centimeters

Step-by-step explanation:

Surface area of a cone is determined from the formula,

Surface area of cone = πr(r + l)

where 'r' = radius of the circular base of the cone

l = lateral height of the cone

And π = 3.14

Surface area of the cone with 'r' = 13 cm and 'l' = 19 cm

Surface area = 3.14(13)(13 + 19)

                     = 3.14(13)(32)

                     = 1306.24 square centimeters

Answer:

The answer is A: 1/25

Answer:

\(\textsf{D)} \quad (4 - (-6))^2+(3 - (-2))^2=\left(\sqrt{(4-(-6))^2+(-2-3)^2}\right)^2\)

Step-by-step explanation:

To find the length of p, subtract the x-coordinate of vertex Q from the x-coordinate of vertex R:

\(\implies p=x_R-x_Q\)

\(\implies p = 4 - (-6)\)

To find the length of q, subtract the y-coordinate of vertex P from the y-coordinate of vertex R:

\(\implies q = y_R-y_P\)

\(\implies q =3 - (-2)\)

To find the length of r, use the distance formula, where (x₁, y₁) = Q and (x₂, y₂) = P.

\(\boxed{\begin{minipage}{7.4 cm}\underline{Distance between two points}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}\)

\(\implies r=\sqrt{(x_P-x_Q)^2+(y_P-y_Q)^2}\)

\(\implies r=\sqrt{(4-(-6))^2+(-2-3)^2}\)

Therefore, the equation that could be used to show p² + q² = r² is:

\((4 - (-6))^2+(3 - (-2))^2=\left(\sqrt{(4-(-6))^2+(-2-3)^2}\right)^2\)

Answer:

jjj

Step-by-step explanation:

The number that was left out is 70.

Average is the sum of a set of numbers divided by the total numbers in the data set.

Average = sum of numbers / total numbers

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The probability of finding less than 5 defective parts from a sample of 15 in a binomial setting can be calculated using binomial probability formula. Therefore, correct answer is not provided in options.

The formula is P(X < k) = Σ (n C x) * p^x * (1-p)^(n-x), where X is the number of defective parts, k is the desired number of defective parts, n is the sample size, p is the probability of a defective part, and (n C x) represents the combination of n items taken x at a time.

In this case, we want to find the probability of finding less than 5 defective parts, so k = 5, n = 15, and p = 0.05. Plugging these values into the formula and summing up the probabilities for X = 0, 1, 2, 3, and 4 will give us the desired probability.

Calculating the probability yields approximately 0.263.

Therefore, the correct answer is not provided among the given options.

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Answer:

Inverse for a number x, denoted by 1/x or x⁻¹.

f(x) = x+3/ x-2

Step-by-step explanation:

f(x)-1 = x-2 /x+3

The correct points are (1, 2) and (0,1).

To find the points that lie in the inverse of the graph of a function g(x), we need to swap the x and y values of the original graph.

Let's start by representing the original graph of g(x):

x | g(x)

-1 | 0.5

0 | 1

1 | 2

2 | 4

3 | 8

Now, we swap the x and y values:

y | x

0.5 | -1

1 | 0

2 | 1

4 | 2

8 | 3

These are the corresponding points for the inverse function.

So, the points that lie in the inverse of the graph of g(x) are:

(-1, 0.5), (0, 1), (1, 2), (2, 4), (3, 8).

Hence the correct points are (1, 2) and (0,1).

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Answer:  5539 mm²

Step-by-step explanation:

92/2=46

3.14×46²= 5538.96

5538.96 rounded to the nearest tenth is 5,539

The answer is 6647.6 to the nearest tenth.

Answer:

Step-by-step explanation:

8.3÷0.25

Multiply that by 30 and you get 996

The actual distance between the two cities will be 996 miles.

Distance is defined as the product of speed and time.

Scale is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

The given scale is 0.25 inches on the map representing 30 miles.

If the distance between two cities is 8.3 inches

As per the given scale, the actual distance between the two cities will be as:

⇒ 8.3 × 30/0.25

⇒ 83/10 × 3000/25

⇒ 249,000/250

Apply the division operation, and we get

⇒ 996 miles

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The question seems to be incomplete the correct question would be:

On a map with a scale of 0.25 inch = 30 miles the distance between two cities is 8.3 inches. find the actual distance between two cities?

Answer:

I need points im so sorry

Step-by-step explanation:

dhduehhshxjs

Answer: B. 2/6

* Hopefully this helps:) Mark me the brainliest!!

There are 154 ways to select a committee of 4 students out of 10 students if 2 of the students refuse to serve together.

To select a committee of 4 students out of 10 students with 2 of them refusing to serve together, we can use the principle of inclusion and exclusion.

First, we calculate the total number of ways to select 4 students out of 10, which is given by the combination formula:

C(10,4) = 10! / (4! * 6!) = 210

Next, we calculate the number of ways to select 4 students out of the 8 who are willing to serve together:

C(8,4) = 8! / (4! * 4!) = 70

However, we have to subtract the number of ways that the two students who refuse to serve together are selected. Since there are 2 such students, there are 2 ways that they can be included in the committee of 4.

For each of these cases, we have to select 2 students out of the remaining 8 who are willing to serve together:

C(8,2) = 8! / (2! * 6!) = 28

Thus, the number of ways to select a committee of 4 students out of 10 students with 2 of them refusing to serve together is:

210 - 2 * 28 = 154

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Solution

-8 r + 8r =0

And the correct answer would be:

Inverse property of addition

hear here is your answer in attachment attach

Answer:

Step-by-step explanation:

40 = 2*2*2*5  

60 = 2 * 2 * 3 * 5

80= 2 * 2 * 2 * 2 * 5

LCM = 2 * 2 * 2 * 2 * 5 * 3 = 240

HCF = 2*2*5= 20

The value of w in the equation (Wx24) - (2,400 divided by 80) =1,602 is 68

From the question, we have the following parameters that can be used in our computation:

(Wx24) - (2,400 divided by 80) =1,602

Evaluate the brackets

So, we have

(Wx24) - 30 =1,602

Next, we evaluate the like terms

(Wx24) =1,632

Divide by 24

W = 68

Hence, the value of W is 68

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Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Answer:

Below

Step-by-step explanation:

H  mole weight 1

S mole weight = 32 g

 total for H2S   would then be   34 gm / mol

34 gm / mole * 9.03 mole = 307 grams

Answer: H

Step-by-step explanation:

\(9(-3)=-27\), which is an integer.

Answer:

(-6127) + 0 = (-6127)

(+18) + 2 = (+20)

(+27) - 7 = (+20)

(+63) + (-13) = (+50)

(+21) - 4 = (+17)

Step-by-step explanation:

Step-by-step explanation:

2x+15 = 5x-43

- Add 43 to both sides

2x+58 = 5x

- Subtract 2x from each side

58 = 3x

- Divide by 3

Answer:

Step-by-step explanation:

9: I forgot what theorem but a=half the hypotenuse

a=9, now to find b, use Pythagorean theorem.

81+b=324

b=9 root 3

10: 10 is half the hypotenuse so b= 20, now use Pythagorean theorem

100+b=400

b=10 root 3

The average speed for the round trip would be 53.85 km/h for a car that travels up a hill at a constant speed of 42 km/h and returns down the hill at a constant speed of 75 km/h.

We are required to calculate the average speed for a car that travels up a hill at a constant speed of 42 km/h and returns down the hill at a constant speed of 75 km/h.

Step-by-step explanation:

Firstly, we know that,

Average speed is defined as the total distance covered by the body during its motion divided by the total time taken by it. Mathematically,

Average speed= Total distance / Total time

Let us assume that the total distance covered by the car while going up and down the hill is 'd'.And,let the time taken to travel uphill be 't1' and the time taken to travel downhill be 't2'.As the car is traveling at a constant speed, we can say that the speed of the car is constant during both uphill and downhill.

Now, let's calculate the time taken to travel uphill.

Time taken to travel uphill, t1 = Distance / Speed = d/42

Similarly, the time taken to travel downhill, t2 = Distance / Speed = d/75

Therefore, the total time taken for the round trip, t = t1 + t2 = d/42 + d/75

To calculate the average speed, we need to calculate the total distance covered, which is equal to 2d (as the car is traveling uphill and downhill)

Therefore, Average speed= (Total distance) / (Total time taken)= 2d / (d/42 + d/75)= 2 / (1/42 + 1/75)= 2 / ((75+42) / (75*42))= 2 / (117/3150)= 6300 / 117= 53.85 km/h (approx)

Therefore, the average speed of the car for the round trip is 53.85 km/h (approx).

Hence, the correct option is km/h53.85.

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