The list below shows the number of push-ups students could complete in 1 minute. 14, 19, 20, 12, 14 Find the mean and median number of push-ups completed. Please write the answer in this format: mean= ___ median= ____

The number of balls, given the ratio of white balls to yellow balls that could not be in the bag is C. 42 balls.

The number of balls that could not be in the bag, given the ratio of white balls to yellow balls, is the number that would not give a whole number when multiplied by the ratio of white balls to yellow balls.

26 balls :

= 3 / ( 10 + 3 white balls ) x 26

= 3 / 13 x 26

= 6 balls

39 balls :

= 3 / 13 x 39

= 9 balls

42 balls :

= 3 / 13 x 42

= 9.69 balls

There therefore cannot be 42 balls.

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Options for this question include:

Answer:

1 day

Step-by-step explanation:

none of the answers shown are correct,it is 1 day,is the question worded diffrently?

Answer:

That ain't gonna fit in the box because the side is 19.3cm and the side of the box is 15 cm,also its to tall

Answer:

6

Step-by-step explanation:

I am thinking it is 6 because you can just look at b and it looks the same

so I think it would be the same answer

point B is located in quadrant II (option B)

Point A: (6, 3) = (x, y)

reflection of point A across the y axis:

The x coordinate will be negative and the y coordinate will remain the same

reflection of point A across the y axis = (-6, 3)

Attaching the graph showing the point after reflection:

Since point B is the reflection of point A.

Hence, point B is located in quadrant II (option B)

Answer: k=8

Step-by-step explanation: im pretty sure i dont remember

If linear function is  y=145+30x

Part A

y is the cost of airline tickets in dollars

x is the checked bags

30 is the cost of the each bag

145 is the fixed cost of airline tickets without including the cost of bags

Part B

The domain = {0, 1, 2, 3, 4, 5} and it is a discrete domain

Part C

The graph of the function has been plotted

The linear function is

y = 145 + 30x

Part A

The linear function is

y = 145 + 30x

Where y is the cost airline tickets in dollars

x is the checked bags

30 is the cost of the each bag

145 is the fixed cost of airline tickets without including the cost of bags

Part B

Here at most 5 bags can be checked.

Therefore the domain = {0, 1, 2, 3, 4, 5}

It is a discrete domain, because values of the domain that can be counted, like the integers

Part C

Plot the graph using the linear function and domain

Hence, If linear function is  y=145+30x

Part A

y is the cost airline tickets in dollars

x is the checked bags

30 is the cost of the each bag

145 is the fixed cost of airline tickets without including the cost of bags

Part B

The domain = {0, 1, 2, 3, 4, 5}

Part C

The graph of the function has been plotted

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Answer:

\(x^4+2x^3+2x^2+2x+1\)

Step-by-step explanation:

Given that,

\((x+1)^2 . (x^2+1) = 0\)

We know that, \((a+b)^2=a^2+b^2+2ab\)

So,

\((x+1)^2=x^2+1+2x\)

So,

\((x+1)^2 . (x^2+1) = (x^2+1+2x)(x^2+1)\\\\=x^2\times x^2+x^2+2x^3+x^2+1+2x\\\\=x^4+2x^3+2x^2+2x+1\)

So, the value of the given expression is equal to\(x^4+2x^3+2x^2+2x+1\)

The average value of the function f(x,y) = 2e^y √(e^y + x) over the rectangle R = [0,4]x[0,1] is approximately 9.936.

This means that if we were to graph the function f(x,y) over the rectangle R and find the height of the "average" point, it would be approximately 9.936.

To find the average value of f(x,y) over R, we need to evaluate the double integral of f(x,y) over R and divide it by the area of R. We can use the formula:

fave = (1/A) ∬R f(x,y) dA

where A is the area of R.

To evaluate the double integral, we first integrate f(x,y) with respect to y, then with respect to x. This yields:

fave = (1/4) [2/3 ((2/5)(e + 4)^(5/2) - (2/5)e^(5/2) - (2/3)(4)^(3/2))]

Simplifying this expression gives us the approximate value of 9.936. This means that the "average" value of the function f(x,y) over the rectangle R is 9.936.

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Answer:

\(\mathrm{D.\:} 7\)

Step-by-step explanation:

A proportional function is given by \(y=kx\) for some constant \(k\). We can plug any coordinate this line passes through to find this constant:

\(21=k(3),\\k=\fbox{$7$}\).

Answer:

He paid $2.30 for each gallon of gas he got.

There are 7 desserts that have both yogurt and fruit. Therefore, the answer to your question is 7.

To find out how many of the desserts with yogurt also include fruit, we need to use the concept of intersection in set theory. We can create two sets: one for desserts with yogurt and another for desserts with fruit.

The set of desserts with yogurt has 8 elements, and the set of desserts with fruit has 7 elements. We can represent these sets as follows:

Y = {yogurt desserts} = {1, 2, 3, 4, 5, 6, 7, 8}
F = {fruit desserts} = {1, 2, 3, 4, 5, 6, 7}

Now we need to find the intersection of these sets, i.e., the desserts that have both yogurt and fruit. To do this, we can count the number of elements in the set Y ∩ F:

Y ∩ F = {yogurt and fruit desserts} = {1, 2, 3, 4, 5, 6, 7}

So there are 7 desserts that have both yogurt and fruit. Therefore, the answer to your question is 7.

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The average speed for the time period starting at t = 2 and lasting 0.1 seconds is approximately -9.12 feet per second.

To find the average speed for the time period starting at t = 2 and lasting 0.1 seconds, we need to determine the total distance traveled during that time period and divide it by the duration.

Given that the height of the ball in feet t seconds later is given by the equation y = \(60t - 16t^2,\)we can calculate the total distance traveled by integrating the velocity function.

The velocity of the ball is the derivative of the height function y(t) with respect to time:

\(v(t) = d/dt (60t - 16t^2) = 60 - 32t\)

To calculate the total distance traveled, we need to integrate the absolute value of the velocity function over the given time period.

∫[2, 2.1] |v(t)| dt = ∫[2, 2.1] |60 - 32t| dt

Breaking the integral into two separate intervals where the velocity is positive and negative:

∫[2, 2.1] (60 - 32t) dt + ∫[2, 2.1] (32t - 60) dt

Integrating each interval:

\([60t - 16t^2/2] from 2 to 2.1 + [16t^2/2 - 60t] from 2 to 2.1\)

Simplifying:

\([(60(2.1) - 16(2.1)^2/2) - (60(2) - 16(2)^2/2)] + [(16(2.1)^2/2 - 60(2.1)) -\)\((16(2)^2/2 - 60(2))]\)

Calculating each term:

[126 - 18.48 - 120 + 16] + [17.568 - 126 - 16 + 120]

Simplifying further:

[3.52] + [-4.432]

The total distance traveled is approximately -0.912 feet (the negative sign indicates the direction).

To find the average speed, we divide the total distance traveled by the duration:

Average speed = -0.912 feet / 0.1 seconds ≈ -9.12 feet per second

Therefore, the average speed for the time period starting at t = 2 and lasting 0.1 seconds is approximately -9.12 feet per second.

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Answer: c. 27

Step-by-step explanation: 48-21=27

By using Pythagorean theorem to find the length of the hypotenuse, we get the answer as hypotenuse of 115

A Pythagorean triple is a set of three positive integers a, b, and c that satisfy the equation a^2 + b^2 = c^2, where c is the length of the hypotenuse and a and b are the lengths of the legs of the right triangle.

In a right triangle, the hypotenuse is the side that is opposite the right angle. It is the longest side of the triangle and it is always opposite the 90-degree angle. The other two sides of the right triangle are called the legs, and they form the right angle.

we can use the Pythagorean theorem to find the length of the hypotenuse:

a^2 + b^2 = c^2

82^2 + 80^2 = c^2

6724 + 6400 = c^2

c = √(6724 + 6400) = √13124

c = 114.74

Since all three sides of the triangle have to be integers and the hypotenuse is the one that should have the largest value, we can round the value of c up to 115

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Answer: 9

Step-by-step explanation:

Answer:

9!

Step-by-step explanation:

The rate of change of the function given by the table is 1.

The rate of change is the change in the output variable (Y) divided by the change in the input variable (X).  Rate of change is also called slope.

Mathematically:

rate of change = ΔY/ΔX = (y₂-y₁)/(x₂-x₁)

We can use the values in the table to calculate the rate of change of the function by picking any two points from the table. That is:

x₁ = 5, y₁ = 3

x₂ = 6, y₂ = 4

Substituting:

rate of change = (4-3)/(6-5) =

                        = 1/1

                        = 1

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Answer: Elucid is a Greek mathematician.

Step-by-step explanation:

Answer:

A Greek Mathematician

Step-by-step explanation:

Euclid, sometimes called Euclid of Alexandria to distinguish him from Euclid of Megara, was a Greek mathematician, often referred to as the "founder of geometry" or the "father of geometry". He was active in Alexandria during the reign of Ptolemy I.

The calculation 18/6=108 is not the right representation.

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here: One of the option as 18/6=108

But in the question Jenna buys 6 new shirts at $18

Thus the total cost of the shirts is 18*6=108

But 18/6=3

Thus this expression is not the right calculation.

Hence, The 18/6=108 is not the right representation.

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Answer:

the left one is cheaper, the difference is 4.2 pounds cheaper

Step-by-step explanation:

The answer of the given question based on the code is , the output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

MATLAB code:
To show that `x³ + 2x - 2` has a root between 0 and 1 and,

to find the root to 3 significant digits using the Newton Raphson Method,

we can use the following MATLAB code:  

Defining the function

f = (x)x³ + 2*x - 2;

Plotting the function

f_plot (f, [0, 1]);

grid on;

Defining the derivative of the function

f_prime = (x)3*x² + 2;

Implementing the Newton Raphson Method x0 = 1;

Initial guesstol = 1e-4;

Tolerance for erroriter = 0; % Iteration counter_while (1)

Run the loop until the root is founditer = iter + 1;

x1 = x0 - f(x0)

f_prime(x0);

Calculate the next guesserr = abs(x1 - x0);

Calculate the error if err < tol

Check if the error is less than the tolerancebreak;

else x0 = x1;

Set the next guess as the current guessendend

Displaying the resultfprintf('The root of x³ + 2x - 2 between 0 and 1 is %0.3f\n', x1));

The output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

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When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

MATLAB code:

Show that x^3 + 2x - 2 has a root between 0 and 1:

Here is the code to show that x^3 + 2x - 2 has a root between 0 and 1.

x = 0:.1:1;y = x.^3+2*x-2;

plot(x,y);

xlabel('x');

ylabel('y');

title('Plot of x^3 + 2x - 2');grid on;

This will display the plot of x^3 + 2x - 2 from x = 0 to x = 1.

Find the root to 3 significant digits using the Newton Raphson Method:

To find the root of x^3 + 2x - 2 to 3 significant digits using the Newton Raphson Method, use the following code:

format longx = 0;fx = x^3 + 2*x - 2;dfdx = 3*x^2 + 2;

ea = 100;

es = 0.5*(10^(2-3));

while (ea > es)x1 = x - (fx/dfdx);

fx1 = x1^3 + 2*x1 - 2;

ea = abs((x1-x)/x1)*100;

x = x1;fx = fx1;

dfdx = 3*x^2 + 2;

enddisp(x)

When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

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Answer:

1 cm = 100 m

Explanation:

The conversion factor to go from cm to m is

1 cm = 0.01 m or

1 m = 100 cm

Additionally, the conversion factor from km to m and from dm to m is:

1 km = 1000 m

1 dm = 0.01 m or 1 m = 10 dm

Therefore, the incorrect conversion factor is:

1 cm = 100 m

Because 1 cm is smaller than 1 m

Answer:

(x+7)(x+6)

Step-by-step explanation:

x²+13x+42

x²+6x+7x+42

x(x+6)+7(x+6)

(x+6)(x+7)

Answer:

a) (x+7) (x+6)

Step-by-step explanation:

That is the correct answer because you get it when you factor the current equation.

Hope it helps

Answer:

8x-2=-9+7x equals X=-7

Answer:

x = -7

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

12m+60=6m-84

-6m -60   -6m - 60

6m/6 =m

-144/6= -24

m=-24

Answer:

-3

Step-by-step explanation:

The smallest possible number of books on the shelf is 10.

2 fiction books + 5 non-fiction books = 7 books

3 paperback books + 7 hardback books = 10 books

To work out the smallest possible number of books on the shelf, we need to combine the ratio of fiction to non-fiction books and the ratio of paperback books to hardback books. The first ratio, 2:5, tells us that for every two fiction books, there are five non-fiction books on the shelf. This means that in total, there are seven books on the shelf. The second ratio, 3:7, tells us that for every three paperback books, there are seven hardback books. Combining the two ratios, the smallest possible number of books on the shelf is 10: two fiction books, five non-fiction books, three paperback books, and seven hardback books.

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