pleaseeeeeeeeeee help meeeeee

There are 1680 ways the teaching assistants can be chosen to grade the exam.

To determine the number of ways the teaching assistants can be chosen to grade the exam, we need to consider the number of choices available for each question and multiply them together.

For the first question, there are eight teaching assistants available. Therefore, there are 8 choices for the first question.

For the second question, since one assistant has already been assigned to the first question, there are seven remaining assistants available. Thus, there are 7 choices for the second question.

Similarly, for the third question, there are six remaining assistants available after two have been assigned to the previous questions. Hence, there are 6 choices for the third question.

Lastly, for the fourth question, there are five remaining assistants available after three have been assigned to the previous questions. Therefore, there are 5 choices for the fourth question.

To determine the total number of ways, we multiply the number of choices for each question:

Total ways = 8 * 7 * 6 * 5 = 1680

Therefore, there are 1680 possible approaches to select the teaching assistants to grade the exam.

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The expression which is equivalent to; six to the negative power of two as given in the task content is; 1 / 36.

It follows from the task content that the expression which is equivalent to six to the negative power of two is to be determined.

Since the given word phrase can be expressed as; 6^-²; it follows from the laws of indices that we have;

= (1 / 6)²

= 1² / 6²

= 1/36.

Ultimately, the equivalent expression is; 1 / 36.

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Answer:

3/8

Step-by-step explanation:

the rate of change is the slope:

.

we can find the slope by choosing any 2 points from the system:

for ex; (8,4) and (-8,-2)

the slope = 4- (-2) / 8 - (-8) = 6 / 16 = 3 / 8

.

so 3 / 8

According to the situation given, the alternative hypothesis is:

\(H_1: \mu_M - \mu_F > 0\)

At the null hypothesis, it is tested if males do not spend more time playing than females, that is, the subtraction of the mean time spent playing by males by the mean time spent playing by females is of at most zero.

\(H_0: \mu_M - \mu_F \leq 0\)

At the alternative hypothesis, it is tested if they spend more time playing, that is, if the subtraction is positive.

\(H_1: \mu_M - \mu_F > 0\)

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The variance is equal to the squared value of the standard deviation.(Option a)

The variance is a measure of how spread out a set of data is. It is calculated by taking the average of the squared differences of each data point from the mean. The standard deviation, on the other hand, is the square root of the variance and measures the spread of data in relation to the mean.

Therefore, the variance is equal to the squared value of the standard deviation. Mathematically, Var(X) = σ^2, where Var(X) is the variance and σ is the standard deviation.

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Answer:

V(sphere) =

\( \frac{4 }{3} \pi \:{r}^{3} = 195.43 \\ \)

V(hemisphere) = V(sphere)/2 = 97.715 = 97.7

Answer:

9.7 in.

Step-by-step explanation:

Let s = side of the square.

s² = 94 in.²

√s² = √(94 in.²)

s = 9.7 in.

Answer:

im guessing you add the overtime work money to the weeks normal wage, which would be 192.5$.

Step-by-step explanation:

6.5 hours x 5/hr$ = 32.5$ + 160$

Answer:

7.8 to 1 decimal place

Step-by-step explanation:

70 pounds for 9 acre

for one acre it'll be 70/9

7.7 recurring or 7.8 to 1dp or 8 to the nearest whole number

Answer:

7/9 pounds

Step-by-step explanation:

I did 70/9 to get 7/9 pounds

Answer:

448

Step-by-step explanation:

This is  a proportion question. Keep the heights on one side of the proportion and the shadow length on the other.

height ratio  shadow ratio

40 cm / x = 25 / 280             Cross multiply

25x = 40 * 280                      Combine

25x = 11200                            Divide by 25

x = 11200/25

x = 448 cm

The height of the corn plant is 448 cm

Answer:

A

Step-by-step explanation:

Answer:

3,4

Step-by-step explanation:

 5,5

- 2,1

======

3,4

Answer:

3,4

Step-by-step explanation:

you take 5,5 and subtract 2,1

Answer:

50

Step-by-step explanation:

180-130=50

Answer:

105

Step-by-step explanation:

Answer:

\(\textsf{1)} \quad f(x)=-x+3\)

2)   A = (3, 0)  and C = (-3, 0)

\(\textsf{3)} \quad g(x)=x^2-9\)

4)  AC = 6 units and OB = 9 units

Step-by-step explanation:

Given functions:

\(\begin{cases}f(x)=mx+c\\g(x)=ax^2+b \end{cases}\)

Given points:

As points H and T lie on f(x), substitute the two points into the function to create two equations:

\(\textsf{Equation 1}: \quad f(-1)=m(-1)+c=4 \implies -m+c=4\)

\(\textsf{Equation 2}: \quad f(4)=m(4)+c=-1 \implies 4m+c=-1\)

Subtract the first equation from the second to eliminate c:

\(\begin{array}{r l} 4m+c & = -1\\- \quad -m+c & = \phantom{))}4\\\cline{1-2}5m \phantom{))))}}& = -5}\end{aligned}\)

Therefore m = -1.

Substitute the found value of m and one of the points into the function and solve for c:

\(\implies f(4)=-1(4)+c=-1\)

\(\implies c=-1-(-4)=3\)

Therefore the equation for function f(x) is:

\(f(x)=-x+3\)

Function f(x) crosses the x-axis at point A.  Therefore, f(x) = 0 at point A.

To find the x-value of point A, set f(x) to zero and solve for x:

\(\implies f(x)=0\)

\(\implies -x+3=0\)

\(\implies x=3\)

Therefore, A = (3, 0).

As g(x) = ax² + b, its axis of symmetry is x = 0.

A parabola's axis of symmetry is the midpoint of its x-intercepts.

Therefore, if A = (3, 0) then C = (-3, 0).

Points on function g(x):

Substitute the points into the given function g(x) to create two equations:

\(\textsf{Equation 1}: \quad g(3)=a(3)^2+b=0 \implies 9a+b=0\)

\(\textsf{Equation 2}: \quad g(1)=a(1)^2+b=-8 \implies a+b=-8\)

Subtract the second equation from the first to eliminate b:

\(\begin{array}{r l} 9a+b & = \phantom{))}0\\- \quad a+b & =-8\\\cline{1-2}8a \phantom{))))}}& = \phantom{))}8}\end{aligned}\)

Therefore a = 1.

Substitute the found value of a and one of the points into the function and solve for b:

\(\implies g(3)=1(3^2)+b=0\)

\(\implies 9+b=0\implies b=-9\)

Therefore the equation for function g(x) is:

\(g(x)=x^2-9\)

The length AC is the difference between the x-values of points A and C.

\(\implies x_A-x_C=3-(-3)=6\)

Point B is the y-intercept of g(x), so when x = 0:

\(\implies g(0)=(0)^2-9=-9\)

Therefore, B = (0, -9).

The length OB is the difference between the y-values of the origin and point B.

\(\implies y_O-y_B=0-(-9)=9\)

Therefore, AC = 6 units and OB = 9 units

Answer:

A. 16 rolls

Step-by-step explanation:

First, convert 120 meters to inches.

120 meters X 39.37 inches = 4724.4 inches

Then convert the 4724.4 inches into feet.

4724.4/12 = 393.7 feet

Therefore, she needs approximately 383.7 feet.

To get the number of rolls, divide 383.7 by 25 since each roll has 25 feet of ribbon.

383.7/25 = 15.748

15.748 can be rounded up to 16 rolls.

The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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Answer: Sally has 2 dollars left

Step-by-step explanation:

10-4= 6-4=2

Answer:

B. 60

Step-by-step explanation:

There are a total of 200 students here, and 45% got Cs, to find how many got Cs, multiply 200 by 45%, or 0.45: 200*0.45 = 90, 90 people got Cs.

15%  got Ds, multiply 200 by 15%, or 0.15 to get 30, 30 got Ds

The amount who got Cs minus the amount who got Cs is 90 - 30 = 60, 60 more students got Cs than Ds

This expression for t1 does not depend on t2 and is expressed in terms of the given variables m, θ1, θ2, and the acceleration due to gravity g.

First, let's analyze the forces acting on the mass m.

There are three forces acting on the mass:
1. Gravitational force (mg) acting downwards
2. Tension force t1 acting at an angle θ1 from the vertical
3. Tension force t2 acting at an angle θ2 from the vertical

We can resolve these forces into their vertical and horizontal components.

For the vertical components, we have:
t1 * sin(θ1) + t2 * sin(θ2) = mg

For the horizontal components, we have:
t1 * cos(θ1) = t2 * cos(θ2)

Now we need to eliminate t2 from these equations. Divide the first equation by sin(θ2) and the second equation by cos(θ2):

t1 * sin(θ1) / sin(θ2) + t2 = mg / sin(θ2)
t1 * cos(θ1) / cos(θ2) = t2

Now we can substitute the expression for t2 from the second equation into the first equation:

t1 * sin(θ1) / sin(θ2) + t1 * cos(θ1) / cos(θ2) = mg / sin(θ2)

Factor out t1 from the left side:

t1 * (sin(θ1) / sin(θ2) + cos(θ1) / cos(θ2)) = mg / sin(θ2)

Finally, solve for t1:

t1 = (mg / sin(θ2)) / (sin(θ1) / sin(θ2) + cos(θ1) / cos(θ2))

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Answer:

60%

Step-by-step explanation:

Answer: The first three odd prime numbers are 3, 5, and 7. A number is a multiple of two but not three of these prime numbers if it is divisible by two of them, but not the third.

To find the number of numbers between 1000 and 2000 that are multiples of two but not three of the first three odd prime numbers, we can count the number of multiples of each pair of prime numbers and subtract the number of multiples of all three prime numbers.

There are 200 multiples of 3 and 5 between 1000 and 2000 (200 numbers for each, for a total of 200 * 2 = 400). There are 133 multiples of 3 and 7 between 1000 and 2000 (133 numbers for each, for a total of 133 * 2 = 266). There are 80 multiples of 5 and 7 between 1000 and 2000 (80 numbers for each, for a total of 80 * 2 = 160). There are no multiples of all three prime numbers between 1000 and 2000.

Thus, the total number of numbers between 1000 and 2000 that are multiples of two but not three of the first three odd prime numbers is 400 + 266 + 160 = 826.

Step-by-step explanation:

Answer:

the answer is b because I know I just did that

Using the concept of linear equation in two variables we can find the number of years that the lava flows and the island has expanded by 60 centimeters.

If an equation is written in the format ax + by + c=0, where a, b, and c are real integers, a and being the coefficients of x and y,  respectively, are also not equal to zero, then it is said to be a linear equation in two variables.

The given equation can be written as  x=8y+2

where

'x' represents the length of expansion

'y' represents the number of years lava flows

From the above equation (i.e) x=8y+2

we can write

8y=x-2

y=\(\frac{x-2}{8}\)

Now substituting value of x=60 centimeters we get

\(y=\frac{60-2}{8}\)

\(y=\frac{58}{8}\)

y=7.25

The number of years that the lava flows and the island has expanded 60 centimeters is 7.25 years.

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Answer:

y=1/5x-1

Step-by-step explanation:

Answer: A, B, C

Step-by-step explanation:

AC is half of AB, so AB = 2AC

1/2 of AB will be AC, and AB

AC = CB

If m is a nonzero integer, then m^(1/m) is not always greater than 1.

The statement is false.

To determine if m^(1/m) is greater than 1, we can consider different values of m. For positive values of m, such as m = 2, m^(1/m) = 2^(1/2) = √2, which is approximately 1.414 and greater than 1.

However, if we consider negative values of m, such as m = -2, m^(1/m) = (-2)^(1/(-2)) = (-2)^(-1/2), which is equal to 1/√(-2). Since the square root of a negative number is not defined in the real number system, the value of m^(1/m) is not defined for negative values of m.

Therefore, the statement that m^(1/m) is always greater than 1 for nonzero integers m is false.

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Answer:

The answer is 3

Step-by-step explanation:

If there is 10 in total

   . if there are 5 green apples

. and 2 red apples

there would be 3 golden apples

. 5 + 2 = 7  

. 10 - 7 = 3

golden = 3

Answer:

There's 3 gold apples

Step-by-step explanation:

Pls, choose me as brainliest!

For the given pair of equations, the given ordered pair does not represent the solution.

Given is the equation -

7a + 8b = 3

For [a] = 0 and [b] = 1, we can write -

7 x 0 + 8 x 1 = 3

8 ≠ 3

Therefore, the points does not represent the solution to the equation given.

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