Which is the product of 15 and
5
?
12
A.
5
5
12
B. 6
61
O
1
7.
12
O
o D. 78

Answer:

18-3-12

15-12

3 is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

18-3(1+4)

multiply the numbers in the bracket by -3

18-3-12

3

Rounding this to the nearest whole number, we can estimate that about 125 customers will pay with cash next week.

Based on the previous week's data, the percentage of customers who paid with cash is (76/122)*100 = 62.3%. If we assume that this percentage will remain constant for the next week, then we can estimate that out of 200 customers, approximately 62.3% will pay with cash.
To calculate this, we can use the proportion:
(76/122) = (x/200)
where x is the number of customers we expect to pay with cash next week.
Solving for x, we get:
x = (76/122)*200 = 124.59
Rounding this to the nearest whole number, we can estimate that about 125 customers will pay with cash next week.

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Answer:

1/2 because that %50

Step-by-step explanation:

Answer:

1/35

Step-by-step explanation:

Answer:

15.5

Step-by-step explanation:

9.1^2 + 12.5^2 = 239.06

square root of 239.06 is 15.5

Answer:

2

Step-by-step explanation:

Answer:

Jemma: 22x + 5

Debra: 20x

Step-by-step explanation:

Answer:

I don't know.

Answer:

ABC is similar to EDC and Angle A is congruent to angle C. Width of lake is 48

Step-by-step explanation:

Answer:

i believe it was a is congruent to E

Step-by-step explanation:

Answer:

the total number of arrangement is six

Step-by-step explanation:

Part (a) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that A and B are next to each other.

Suppose A and B are together and form a group, then no. of groups are .

These groups can be arranged in

A and B can be arranged in .

Therefore, the possible no. of arrangements are .

Part (b) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that A is before B.

Total no. of arrangements with six letters

The no. of arrangements in which A is before B

Therefore, the possible no. of arrangements are .

Part (c) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that A is before B and B is before C.

Total no. of arrangements with six letters

A, B and C can be arranged in

Out of these 6 arrangements, there is only one arrangement in which A is before B and B is before C.

So, the possible no. of ways =

Therefore, the possible no. of arrangements are .

Part (d) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that A is before B and C is before D.

The no. of arrangements in which A is before B

Out of these arrangements, half will be with C before D and half will be with D before C.

Therefore, the possible no. of arrangements are .

Part (e) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that A and B are next to each other and C and D are also next to each other.

If A and B form one group and C and D from another group then there are groups and these groups can be arranged in

A and B can be arranged in

Similarly, C and D can be arranged in

Therefore, the possible no. of arrangements are .

Part (f) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that E is not last in line.

The no. of arrangements in which the position of E is fixed at last

The no. of arrangements in which the position of E is not fixed

Therefore, the possible no. of arrangements are

Answer:

The answer is B- X= 31/25

Answer:

x = 31/25

Step-by-step explanation:

The surface area of the composite solid would be about 576. 05 square feet .

The composite shape is made up of two shapes which are a a cylinder and a pentagonal prism. To find the surface area, you need to find the surface area of these two shapes and then sum these areas.

Area of pentagonal prism :

= 5 a h + 1 / 2 √ ( 5 ( 5 + 2 √ 5 ) ) a ²

a = 4 ft

h = 7 ft

Area of the pentagonal prism is:

= 5 x 4 x 7 + 1 / 2 √ ( 5 ( 5 + 2 √ 5 ) ) 4 ²

= 195.05528 square feet

Area of cylinder:

= 2 π r h + 2 π r ²

= 2 π x 6 x 4 + 2 π x 6  ²

= 376.99112 square feet

The surface area is therefore :

= 195.05528 + 376.99112

= 576. 05 square feet

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To find explicit formulas, you need two things. The common difference and the first term.

For example, #18

The first term = -15

The common difference = -20 -(-15) = -20 + 15 = -5

y = A + B(n - 1)

A = our first term

B = our common difference

n = the term you want to find in the sequence.

Leta plug our numbers in from #18

y = -15 + -5(n - 1)

Let's find the 4th term in the sequence.

y = -15 + -5(4 - 1)

y = -15 + -5(3)

y = -15 + -15

y = -30

The answer is [-1/2-1/2]

The range of the function f(x) is [-1/2, 1/2].

The range is the set of possible output values, which are shown on the y-axis. The range of a function, f is the set of all values f(x) , such that x is in the domain of f. Graphically speaking, the range is the set of all y such that (x,y) is a point on the graph of f.

For the given situation,

The function f(x) = 1/2sin(2x-π)

The graph below shows the range of the function f(x) = 1/2sin(2x-π) graphically.

As the range of sinx function is [-1, 1], the range of sin2x is also [-1, 1].

Let us consider \(\theta = 2x-\pi\)

⇒ Then, \(sin \theta\) lies in the range \([-1,1]\)

⇒ \(-1\leq sin(2x-\pi )\leq 1\)

⇒ \((\frac{1}{2} )(-1)\leq sin(2x-\pi )\leq( 1)(\frac{1}{2} )\)

⇒ \(\frac{-1}{2} \leq sin(2x-\pi )\leq\frac{1}{2}\)

Hence we can conclude that the range of the function f(x) is [-1/2, 1/2].

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Answer:

-11 < x < 7

Step-by-step explanation:

x² + 4x < 77

Subtract 77 from both sides

   x² + 4x - 77 < 0

To find the zero points (Roots),

Make x² + 4x - 77 = 0

Now find the factors

         x² + 11x - 7x - 77 = 0

     x(x + 11) - 7(x + 11)   = 0

               (x +11) (x - 7)  = 0

x + 11 = 0            or (x -7) = 0

     x = -11           or        x = 7

So, the solutions of  the inequality is between (-11) and 7

   -11 < x < 7

Answer:

x < –11 or x > 7 is the correct answer!!

Step-by-step explanation:

The answer above this was just slightly wrong. I took the exam and put my answer as option b and got it correct. Here is how I solved it correctly!

To solve the inequality x^2 + 4x > 77, we can factor the quadratic expression as (x - 7)(x + 11) > 0

To determine the solution, we consider the signs of each factor:

(x - 7) > 0 and (x + 11) > 0

This means x is greater than 7 or x is less than -11.

So, the simplified solution to the inequality x^2 + 4x > 77 is:

x < -11 or x > 7

Answer:

3/7

Step-by-step explanation:

total cards 3+4 = 7

Not green = 7-4 = 3 cards

P ( not green )= not green cards / total = 3/7

Answer:

3/7.

Step-by-step explanation:

There are seven cards in total, four of them being green.

The knowledge of the color of the other cards aren't really nessesary, so you can just subtract four from seven, which is three.

Hope this helped!

Answer:

16 teachers.

Step-by-step explanation:

84 / 21 = 4

4 * 4 = 16

Hope this helped. Please give brainly if its the best!

Answer:

\( \huge \colorbox{blue}{16 students}\)

Step-by-step explanation:

we are given the ratio of students and teachers:

\( \displaystyle \: \frac{21}{4} \)

which means if the number of students is 21 then the number of teachers should be 4

to find how many teachers should go if students 84 we have to divide 84 by \(21/4\) :

\( \displaystyle \: 84 \div \frac{21}{4} \)

simplify division:

\( = \displaystyle \: 84 \times \frac{4}{21} \)

simplify multiplication:

\( = \displaystyle \: \cancel{ 84} \: ^{4} \times \frac{4}{ \cancel{21}} \\ = 4 \times 4 \\ = 16 \)

Answer: F(x) approaches - infinity

Step-by-step explanation:

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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Answer:

The probability of Karmen picking a car with a black exterior and a beige interior is

1/6. The probability of Karmen picking a car with a beige interior and an automatic transmission is

1/4.

Step-by-step explanation:

The number of possible outcomes from the tree diagram is 12.

Two of the possible outcomes are a car with a black exterior and a beige interior. The probability of Karmen picking a car with a black exterior and a beige interior is , or .

Three of the possible outcomes are a car with a beige interior and an automatic transmission. So, the probability of Karmen picking a car with a beige interior and an automatic transmission is , or .

Answer:

1/6 and 1/4

Step-by-step explanation:

Just did this.

The coordinates of the pre-image point A given the transformation is (4, 0)

If the image point of A after a translation right 1 unit and down 3 units is the point B(5,-3), then we can find the pre-image point A by reversing the translation.

This means we need to move B back 1 unit to the left and up 3 units to get to A.

So, the x-coordinate of A is 5 - 1 = 4 (moved 1 unit to the left)

And, the y-coordinate of A is -3 + 3 = 0 (moved 3 units up)

Therefore, the coordinates of the pre-image point A are (4,0).

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Given the equations:

To find the solutions, we take the square on both sides.

For equation (1):

To find out if this is an extraneous solution, we evaluate this value on the original equation:

We conclude that this is not an extraneous solution.

Now, for equation (2):

We evaluate this result on the original function:

We conclude that this is an extraneous solution.

The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).

1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:

  Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19

2. Calculate the total number of graduate students on the Student Government Board:

  Total Graduate Students = 2 + 0 = 2

3. Calculate the total number of students living in on-campus housing:

  Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10

4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:

  Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19

5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:

  Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19

6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:

  Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19

7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.

8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).

9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.

Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).

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Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

If the function of height in time is h(t)=-4.9\(t^{2}\)+106t+206,then the rocket will splash down into the ocean after 23.43 seconds and the rocket will get its peak after 10.82 seconds at a height of 779.26524 meters above the sea level.

Given that the function of height in time is h(t)=-4.9\(t^{2}\)+106t+206.

We are required to find the time after which the rocket will splash down into the ocean and the time after which the ocean will get its peak and the height of the rocket.

The rocket will splash down when the height of the rocket is 0.

-4.9\(t^{2}\)+106t+206=0

4.9\(t^{2}\)-106t-206=0

t={106±\(\sqrt{(106)^{2} -4*4.9*(-206)}\)}/2*4.9

t=(106±\(\sqrt{15273.6}\))/9.8

We have to ignore the negative sign because the time is always shown in positive signs.

t=(106+123.59)/9.8

t=229.59/9.8

t=23.43 seconds

Rocket will be at its peak when the slope of the equation is 0.

\(h^{I}\)(t)=-9.8t+106

-9.8t+106=0

-9.8t=-106

t=-106/-9.8

t=10.82 seconds

To find the height we need to use t=10.82 in the equation.

h(10.82)=\(-4.9*(10.82)^{2} +106*10.82+206\)

=-573.65476+1353.92

=779.26524 meters.

Hence if the function of height in time is h(t)=-4.9\(t^{2}\)+106t+206,then the rocket will splash down into the ocean after 23.43 seconds and the rocket will get its peak after 10.82 seconds at a height of 779.26524 meters above the sea level.

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Answer:

Step-by-step explanation:

Slope- intercept form:

The equation of a line is y= -3x - 2:

Correct choice is D

Compare to slope intercept form of line y=mx+b

Option D

\(\frac{7}{8} (-32-48x) + 36 = \frac{2}{3} (-33x-18) -10x\)

\(\frac{7}{8} (-32)+\frac{7}{8} (-48)+36=\frac{2}{3} (-33x)+\frac{2}{3} (-18)-10x\)

\(-28-42+36=-22x-12-10x\)

\(22x+10x=28+42-36-12\)

\(32x=22\)

\(x=\frac{22}{32} =\frac{11}{16} =0,6875\)

Answer: x = 0.6875

Ok done. Thank to me :>

Answer:

x = 2

Step-by-step explanation:

7/8 (-32-48x) + 36 = 2/3 (-33x-18) - 10x

Multiply,

7(-32-48x)/8 + 36 = 2(-33x-18)/3 -10x

Simpliy,

-336(3x+2) + 864 = -48(11x+6) - 240x

Expand,

-1008x + 192 = -768x - 288

Simplify,

-1008x = -768x -480

Simplify,

-240x = -480

Simplify,

x = -480/-240

Answer,

x = 2