find the equation of the exponential function represented by the table below
x y
0 3

1 9

2 27

3 81

Answer:

8

Step-by-step explanation:

If the only zero for this function is at x = - 4 it looks like this:

f(x)  = (x+4)(x+4)        =    x^2 +8x + 16         so j = 8

Answer:

Step-by-step explanation:

x² +jx +k = 0

If there is only one root ( - 4 ), then (x + 4)² = 0

or

x² + 8x + 16 = 0

j = 8 and k = 16

To answer your question, we need to use a combination formula, which is nCr = n! / (r! * (n-r)!).

In this case, we want to select 5 men out of 16 men, which can be done in 16C5 = 4368 ways. Then, we need to select 1 woman out of 11 women, which can be done in 11C1 = 11 ways. Therefore, the total number of committees possible if it must consist of 5 men is 4368 * 11 = 48,048.

In summary, there are 48,048 committees possible consisting of 5 men and 1 woman, out of a total of 11 women and 16 men. Finally, to find the total number of possible committees, multiply the number of ways to select the men by the number of ways to select the women: C(16, 5) * C(11, 1). This results in 4368 possible committees that consist of 5 men and 1 woman.

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Answer:

6.8 x 12.5 x 13 = 1105

Step-by-step explanation:

Answer:

the answer is 1105

Step-by-step explanation:

Answer:did you check and see if anybody asked this question before??

Step-by-step explanation:

The total distance did Aaron walk today is 4.70 miles.

It is required to find the total distance.

What is distance?

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given :

Aaron walks 2 1/8 miles to his friends.

He walk 5/6 miles to the park.

Again he walks 1 3/4 miles to get back home.

Total distance=

2 1/8 miles+5/6 miles+ 1 3/4 miles

=17/8+5/6+7/4

=4.70 miles

Therefore, the total distance did Aaron walk today is 4.70 miles.

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Answer:

1/3

Step-by-step explanation:

sample space includes 12 outcomes:

blue, green, yellow for 1, 2, 3, and 4

P(blue) = 4/12 or 1/3

Answer:

Step-by-step explanation:

The coordinates of the point on the directed line segment from (-8, 5) to (-1, -2) that partitions the segment into a ratio of 5 to 2. Then the coordinates are (-3, 0).

Comparison in Vector

If P divides AB by the ratio AP : PB = m : n, the position vector of the point P : \(\boxed{\vec {p} =\frac{m\vec b + n\vec a}{m + n}}\)

Suppose

The position vector of the point A (-8, 5) = a

The position vector of the point B (-1, -2) = b

Look at the picture in the attachment

Point P that partitions the segment into a ratio of 5 to 2 so that AP : PB = 5 : 2. Since m = 5 and n = 2, then:

\($\begin{align} \ \vec {p} & =\frac{5\vec b + 2\vec a}{5 + 2} \\ \vec {p}& = \frac{1}{7} (5\vec b + 2\vec a) \\ \vec {p}& = \frac{1}{7} \left (5\begin{array}{c} \left[\begin{array}{cc}-1\\-2\end{array}\right] +2 \left[\begin{array}{cc}-8\\5\end{array}\right] \end{array}\right) \\ \vec {p}& = \frac{1}{7} \left (\begin{array}{c} \left[\begin{array}{cc}-5\\-10\end{array}\right] + \left[\begin{array}{cc}-16\\10\end{array}\right] \end{array}\right) \end{align}\)

\($\begin{align} \ \vec {p} & = \frac{1}{7} \left (\begin{array}{c} -21\\0 \end{array}\right) \\ \vec {p} & = \left (\begin{array}{c} -3\\0 \end{array}\right) \end{align}\)

The coordinates that partitions the segment into a ratio of 5 to 2 is (-3, 0).

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A distribution is a way of displaying data, consisting of three primary components: shape, center, and spread. The shape is the overall pattern of the distribution, while the center is the point where the distribution is balanced. The spread is the range of values of the data, often measured by the standard deviation or the interquartile range (IQR). The distribution can be visualized through graphs like histograms, box plots, or scatter plots.

A brief description of a distribution should include its shape, center, and spread. The spread is the term that should be included in the blank space.A distribution can be described as a way of displaying data. It gives us an idea about how the data are spread out.

The three primary components of any distribution are the shape, center, and spread. Shape refers to the overall pattern of the distribution. It tells us whether the data are symmetric or skewed. The symmetry means that the left half of the distribution is a mirror image of the right half, whereas a skewed distribution is not symmetrical. The tail of a distribution describes the spread of a skewed distribution. It refers to the parts of the distribution that extend out from the center of the graph.The center refers to the point where the distribution is balanced. In symmetric distributions, the center is the same as the mean and median. However, in a skewed distribution, the mean and median differ from each other.

The spread refers to the range of values of the data. It tells us how much the data are scattered or spread out. A small spread indicates that the data points are close to each other, while a large spread suggests that the data points are far from each other. It is often measured by the standard deviation or the interquartile range (IQR).The distribution of data can be visualized through different graphs like histograms, box plots, or scatter plots.

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The probability that it will not rain on any of the homecoming parades during Amina's four years at the school is 0.410.

The probability that it will not rain on any of the homecoming parades during Amina's four years at the school can be calculated by first finding the probability that it will rain on a single parade, and then using that to find the probability that it will not rain on any of the parades.

Let's assume that the probability of it raining on a single parade is P. Then, the probability that it will not rain on a single parade is 1 - P.

Since there are four parades during Amina's time at the school, the probability that it will not rain on any of the parades is (1 - P)^4.

To find the final answer, we need to round the result to three decimal places. So, if the probability of it raining on a single parade is 0.2, the probability that it will not rain on any of the parades is (1 - 0.2)^4 = 0.4096, which rounds to 0.410.

Therefore, the probability that it will not rain on any of the homecoming parades during Amina's four years at the school is 0.410.

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Answer: 1/2, -12

Step-by-step explanation:

\(y = (2x - 1)(2x + 24)\)

Set both sets of expressions in parenthesis equal to 0

\(2x-1=0, 2x+24 = 0\)

solve...

\(x=\frac{1}{2}, x=-12\)

The volume of the cylinder that is not occupied by the sphere is 2πr³/3

Since the object is a sphere in a cylinder, we need to know the volume of sphere and cylinder.

The volume of a cylinder is given by V '= πr²h where

Since the height of the cylinder equals the diameter of the sphere, h = 2r

So, V' = πr²h

V' = πr² × 2r

V' = 2πr³

The volume of a sphere of radius r is given by V = 4πr³/3

The volume of the cylinder not occupied by the sphere is V" = V' - V

=  2πr³ - 4πr³/3

= (6πr³ - 4πr³)/3

= 2πr³/3

So, the volume of the cylinder that is not occupied by the sphere is 2πr³/3

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Answer:

above sea level

Step-by-step explanation:

Answer:

42 slices

Step-by-step explanation:

7 per loaf times 6 extras is 42

Square is consider as the king of all the quadrilaterals.

Explanation:

Square is consider as the king of all the quadrilaterals:

Therefore, square shape is consider as the king of all the quadrilaterals.

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Answer:

D. 40

Step-by-step explanation:

\(RT=RS+ST\\8x=14+(4x+6)\\8x=20+4x\\8x-4x=20\\4x=20\\x=5\\\\As\ you\ know\ the\ value\ of \ RT\ is \ 8x\\Hence, RT=8*5=40\)

Answer:

4.36?   Sorry if I got this wrong hooman O////O

Answer:

4.36

Step-by-step explanation:

Use the squares of numbers to help you and find the square root of perfect squares closest to 19 4.35889894354 is the original continuous answer.

Answer:

try  maltpling 3 *2*2

Step-by-step explanation:

Answer:

4 pizzas

Step-by-step explanation:

Equation:

12x + 7 = 55

12x = 55 - 7

12x = 48

x = 4

Answer:

x = - 2, x = 12

Step-by-step explanation:

Given

x² - 9x = x + 24 ( subtract x + 24 from both sides )

x² - 10x - 24 = 0 ← in standard form

(x + 2)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 12 = 0 ⇒ x = 12

The probability that exactly 18 out of the 20 selected calculators are nonfunctional is approximately 0.071, or 7.1%.

To calculate the probability that exactly 18 out of 20 selected calculators are nonfunctional, we can use the hypergeometric probability formula. The hypergeometric distribution is appropriate in this case because we are sampling without replacement from a finite population (the 30 hand-held calculators).

The formula for the hypergeometric probability is:

P(X = k) = (C(N-K, n-k) * C(K, k)) / C(N, n)

Where:

N = Total population size (30 calculators)

K = Number of nonfunctional calculators in the population (22 calculators)

n = Sample size (20 calculators)

k = Number of nonfunctional calculators in the sample (18 calculators)

C(a, b) represents the combination of "a choose b."

Substituting the given values into the formula, we can calculate the probability:

P(X = 18) = (C(22, 18) * C(8, 2)) / C(30, 20)

P(X = 18) = (77 * 28) / 30,045

P(X = 18) ≈ 0.071

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o.O do you have a question my fren

Answer:

a) 33

Step-by-step explanation:

triangle inequality theorem

- the sum of any two sides of a triangle must be greater than the third

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

The area under y=2cos(x) and above y=2sin(x) for 0 ≤ x ≤ π is -4.

We are given the two curves as follows:

y = 2 cos x (curve 1)

y = 2 sin x (curve 2)

As the curves intersect, let's find the values of x where the intersection occurs.

2 cos x = 2 sin xx = π/4 and x = 5π/4 are the values of x that give the intersection of the two curves.

Let's plot the two curves in the interval 0 ≤ x ≤ π.

Curve 1:y = 2 cos x

Curve 2:y = 2 sin x

The area under y=2cos(x) and above y=2sin(x) in the interval 0 ≤ x ≤ π is given by:

Area = ∫ [2 cos x - 2 sin x] dx, 0 ≤ x ≤ π= [2 sin x + 2 cos x] |_0^π= [2 sin π + 2 cos π] - [2 sin 0 + 2 cos 0]= - 4

Therefore, the area under y=2cos(x) and above y=2sin(x) for 0 ≤ x ≤ π is -4.

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Answer:

Thank you for this. :-)

Answer:

18/4 = 9/2

15/25 = 3/5

Step-by-step explanation:

first one divide by 2

second one divide by 5

Answer: 720

Step-by-step explanation:

5%=36

1%=36/5

1%=7.2

100%=7.2*100

100%=720 students

There is a total of 720 students are in Ridgewood Junior High School.

Given,
All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday.
5% of students brought their lunch.
36 students brought their lunch.
To determine how many students in total are in Ridgewood Junior High School.

the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Let there be x students in the Ridgewood Junior High School.
5% of students brought their lunch and equal to 36
so 5% of x = 36
5/100 * x = 36
x = 36*100/5
x = 36*20
x = 720

Thus, there is a total of 720 students are in Ridgewood Junior High School.

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Answer:

\(\huge\boxed{x=\frac{W}{3y}}\)

Step-by-step explanation:

If we have the equation \(3xy=W\) and we want to solve for x, our goal is to isolate x one one side of the equation.

The question we have to ask ourself is ”What’s stopping x from being isolated?”

That would be the 3 and the y.

Since we’re multiplying x by the 3 and the y, we can divide both sides by the 3 and the y to get x isolated.

\(3xy \div 3y = w \div 3y\)

\(x = \frac{W}{3y}\)

Hope this helped!