Samantha plays a trivia game. She earns 3 points for each correct answer and loses 0.75 points for each incorrect answer. She gets 11 correct answers and 4 incorrect answers. What is her score for the game? A. 21 O B. 30 C. 33 D. 36

Answer:

the prime factorization of 72 is : 2 × 2 × 2 × 3 × 3 =

Step-by-step explanation:

Answer:

yellow bar

Step-by-step explanation:

Answer:

\(165\).

Step-by-step explanation:

Since repetition isn't allowed, there would be \(11\) choices for the first donut, \((11 - 1) = 10\) choices for the second donut, and \((11 - 2) = 9\) choices for the third donut. If the order in which donuts are placed in the bag matters, there would be \(11 \times 10 \times 9\) unique ways to choose a bag of these donuts.

In practice, donuts in the bag are mixed, and the ordering of donuts doesn't matter. The same way of counting would then count every possible mix of three donuts type \(3 \times 2 \times 1 = 6\) times.

For example, if a bag includes donut of type \(x\), \(y\), and \(z\), the count \(11 \times 10 \times 9\) would include the following \(3 \times 2 \times 1\) arrangements:

Thus, when the order of donuts in the bag doesn't matter, it would be necessary to divide the count \(11 \times 10 \times 9\) by \(3 \times 2 \times 1 = 6\) to find the actual number of donut combinations:

\(\begin{aligned} \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}\).

Using combinatorics notations, the answer to this question is the same as the number of ways to choose an unordered set of \(3\) objects from a set of \(11\) distinct objects:

\(\begin{aligned}\begin{pmatrix}11 \\ 3\end{pmatrix} &= \frac{11 !}{(11 - 3)! \times 3 !} \\ &= \frac{11 !}{8 ! \times 3 !} \\ &= \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}\).

The original arrangement is:

So, we can arrange the papers as:

There are 120 different combinations of 3 programmers that can be chosen to transfer to the new department

From the question, we have

Total number of programmers, n = 10

Numbers to programmers to select, r = 3

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 10 and r = 3

Substitute the known values in the above equation

Total = ¹⁰C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 10!/(7! * 3!)

Evaluate

Total = 120

Hence, the number of ways is 120

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Answer:

30 minutes to 40 minutes.

Step-by-step explanation:

From the graph attached,

Distance of Sabrina from her home has been given on y-axis and time taken is on x-axis.

Sabrina's walked 2 miles to reach the library in the duration = 30 - 0

= 30 minutes

She stayed at the library from 30 minutes to 40 minutes (Represented by the straight horizontal line).

Then the third segment represents the journey of Sabrina from library to home.

Therefore, Sabrina was at the library between 30 minutes to 40 minutes.

Answer:

I think it is p= $60

Answer:

yes

Step-by-step explanation:

This function is y=-2 which is a line that doesn't overlap.

Answer: Yes

Step-by-step explanation:

When you have these problems, you can know the answer by seeing if any of the x values are the same. If there are, it will only be a function if the y value is the same.

For example:

{(1,-2),(2,3),(1,-2),(3,4) would be a function because the x values of "1" have the same y value.

Another example:

{(1,-2),(1,3),(3,4),(4,5) would not be a function because the x values of "1" does not have the same y value

Hope this helps!

Answer:

what is this language

Step-by-step explanation:

Answer:

hope it will help you.....

Answer: second step.

Step-by-step explanation:

you then have to distribute the answer not subtract 9 1/4 from 1.5

you have to do the parenthesis next

4.5/0.5=45/5=9

then

1.5*9= 13.5

then

9.25-13.5 which I think you are capable of solving

Answer:

Step-by-step explanation:

Given work on simplification

Step 1 9 and one-fourth minus 1.5 times (4.5 divided by 0.5)

Step 2 7.75 times (4.5 divided by 0.5)

Well formatted version of the question can be found in the picture attached below :

Answer:

Both Carlos and Irene

Step-by-step explanation:

Given the expression (28x - 8)

Carlos : 2(14x - 4)

Danny : 7(4x - 1)

Irene : 4(7x - 2)

The factored expression Given by Carlos, Irene and Danny can be expanded to check if it gives the same expression as that Given in the question :

Carlos :

2(14x - 4)

2*14x - 2*4

28x - 8

Danny :

7(4x - 1)

7*4x - 7*1

28x - 7

Irene :

4(7x - 2)

4*7x - 4*2

28x - 8

From.the expanded solutions obtained ;

Both Carlos and Irene's solution corresponds to the factored form of the original equation and are Hence correct

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

6.11/104

The equation of f(x) is f(x) = x + 4

The given parameters are

f(-1) = 3 and f(1) = 5

Start by calculating the slope (m) using:

\(m = \frac{f(1) - f(-1)}{1 - -1}\)

This gives

\(m = \frac{5 - 3}{1 + 1}\)

Evaluate

m = 1

The equation is then calculated as;

f(x) = m(x - x1) + f(-1)

This gives

f(x) = 1(x + 1) + 3

Expand

f(x) = x + 4

Hence, the equation of f(x) is f(x) = x + 4

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Answ

Step-by-step explanation:wirugf4

Answer:

δy

δx = 2x − 4 + δx;

and the limit as δx → 0 is

dy

dx = lim

δx→0

µδy

δx¶

= 2x − 4.

Step-by-step explanation:

dy/2d=(2-1)(2+3)

dy/2d=4+6-2-3

dy/2d=5

dy=5(2d)=10d

2d=5/dy

dy=5×(5/dy)= 25/dy

2d=5/dy

dy^2=25

dy=√25=5

2d=5/dy=5/5=1

d=1/2

dy=1/2×10=5 y=10

plug all of the values

5/(1/2×2)=5

=

4+6-2-3=5

so finally: 5=5

any questions?

The value of the variable x will be {0, pi/2, pi}. Then the correct option is B.

The trigonometric equation is given below.

\(tan (3\pi/4 - 2x) = - 1\)

We know that the value of tan 3π / 3 is negative one. Then the equation will be

\(tan (3\pi/4 - 2x) = tan 3\pi/4\)

Apply the inverse of the tangent on both sides, then the equation will be

\((3\pi/4 - 2x) = 3\pi/4, -\pi / 4\)

        - 2x = 0, -π

          2x = 0, π

            x = 0, π/2

Then the value of the variable x will be {0, pi/2, pi}.

Then the correct option is B.

Trigonometry is a mathematical field concerned with the inter-dependency of the angles and sides of triangles. This incorporates ideas like sine, cosine, tangent, and the inverse variants of these functions.

Trigonometry finds extensive applications in domains such as physics, engineering, and navigation.

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The Complete Question

Which values represent solutions to the equation? tan(3pi/4 - 2x) = -1, where x ∈ [0,pi]

A) {0, pi}

B) {0, pi/2, pi}

C) {0, pi, 2pi}

D) {0, pi/2, pi ⋅ 3pi/2}

Answer:

a. The point is on the graph

b. The point is not on the graph

Step-by-step explanation:

To know if any of the points lie on the graph of 9x - 3y = 63, substitute the value of each given point into the equation to see if the equation is true.

a. (5, -6)

Substitute x = 5 and y = -6 into 9x - 3y = 63:

9(5) - 3(-6) = 63

45 + 18 = 63

63 = 63 (the equation is TRUE)

Therefore, (5, -6) is a point on the graph.

b. (2, 1)

Substitute x = 2 and y = 1 into 9x - 3y = 63:

9(2) - 3(1) = 63

18 - 3 = 63

15 = 63 (this is NOT TRUE)

Therefore, the point (2, 1) is not a point on the graph.

Answer:

2x6 rectangle

Step-by-step explanation:

area

3×4=12

2x6=12

perimeter

3+3+4+4=14

2+2+6+6=16

The function g(x) is g(x)= (1/3x)^2

The complete question is in the image

From the graph in the image, we have:

f(x) = x^2

The function f(x) is stretched by a factor of 1/3 to form g(x).

This means that:

g(x) = f(1/3x)

So, we have:

g(x)= (1/3x)^2

Hence, the function g(x) is g(x)= (1/3x)^2

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The 5th term in the expansion is 126 * (4x³y²)^5 * (-1/2y)^4, which simplifies to 126 * 4^5 * (x³)^5 * (y²)^5 * (-1/2)^4 * y^4.

To find the 5th term in the expansion of (4x³y² - 1/2y)^9, we can use the binomial theorem. The binomial theorem allows us to expand a binomial raised to a positive integer exponent.

The binomial theorem states that for any binomial (a + b)^n, the general term in the expansion can be written as C(n, k) * a^(n-k) * b^k, where C(n, k) represents the binomial coefficient, also known as "n choose k."

In our case, the binomial is (4x³y² - 1/2y)^9. The first term has an exponent of 9, so the last term will have an exponent of 0. Since we are looking for the 5th term, the exponent of y will be 9 - 5 = 4. The exponent of x will be 5, as 4x³ raised to the power of 5 gives x^15.

Using the binomial coefficient, we have C(9, 5) = 126.

Simplifying further, we get 126 * 1024 * x^15 * y^10 * (1/16) * y^4, which can be simplified as 126 * 64 * x^15 * y^14 * (1/16). The final result is 8064 * (x^15 * y^14) * (1/16), which can be further simplified if necessary.

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Answer:

17d/20

Step-by-step explanation:

100-25=85

85/100×d

=17/20×d

=17d/20

Answer:

20 feet.

Step-by-step explanation:

The container is assumed to be a rectangular prism.

The volume would be length × width × height.

l × 10 × 8 = 1600

l × 80 = 1600

l = 1600/80

l = 20

The storage container is 20 feet long.

The length of the storage container is 20 feet long.

Given is that a storage container holding 1600 cubic feet of rice is 8 feet deep x 10 feet wide.

The volume of cuboid is given by -

V{C} = L x B x H

So, we can write -

1600 = L x 8 x 10

80L = 1600

L = 20 feet

Therefore, the length of the storage container is 20 feet long.

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Pythagoras theorem states that for a right angle triangle the measure of the  square of the hypotenuse side is equal to the sum of the square of the other two sides.The ladder has to be kept at 13.3( round to the nearest tenth) feet away from the bottom of the wall.

Given information-

The length of the ladder is 24 foot.

The height of the wall is 20 foot.

Suppose the ladder has to kept at x feet away from the bottom of the wall

Here a right angle is formed in which the ladder is hypotenuse side shown in the diagram attached below.

Pythagoras theorem states that for a right angle triangle the measure of the  square of the hypotenuse side is equal to the sum of the square of the other two sides.

As the ladder has to be kept at x feet away from the bottom of the wall. Thus,

\(24^2=20^2+x^2\\ 576=400+x^2\)

Solve for the x,

\(x=\sqrt{576-400}\\ x=\sqrt{176}\\ x=13.266\)

hence the ladder ladder has to be kept at 13.3( round to the nearest tenth) feet away from the bottom of the wall.

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Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

what is inequality ?

An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."

So, the inequality would be:

Temperature < 8 degrees Fahrenheit

Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

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