Type the integer that makes the following addition sentence true for brainliest

Answer:

  x = 9.4

Step-by-step explanation:

The angle bisector divides the sides proportionally:

  x/15.4 = 4.7/7.7

  x = (15.4)(4.7/7.7) . . . . multiply by 15.4

  x = 9.4

Answer:

flip it around 9/13 reciprocal would be 13/9

Answer:

Step-by-step explanation:

Red Graph: y = x^2 -4x - 5

Blue Graph: x = 2  Axis of symmetry

Points

x intercepts (-1,0),(5,0)

y intercepts: (0,-5)

vertex: (2,-9)

Note: it is just a matter of putting the function on the graph and than read what you are asked for. Between this part of the answer, and the graphs, you should be able to see what you are asked for.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

76

Step-by-step explanation:

its 76 :) <333

Answer:

a = -1.6b

Step-by-step explanation:

Simplifying

2.3a + -1.8a + 3.5b + -2.7b = 0

Combine like terms: 2.3a + -1.8a = 0.5a

0.5a + 3.5b + -2.7b = 0

Combine like terms: 3.5b + -2.7b = 0.8b

0.5a + 0.8b = 0

Solving

0.5a + 0.8b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-0.8b' to each side of the equation.

0.5a + 0.8b + -0.8b = 0 + -0.8b

Combine like terms: 0.8b + -0.8b = 0.0

0.5a + 0.0 = 0 + -0.8b

0.5a = 0 + -0.8b

Remove the zero:

0.5a = -0.8b

Divide each side by '0.5'.

a = -1.6b

Answer:

(7 x 2) x (2 x 2), or if you want the answer, it's 28

Step-by-step explanation:

You can break it down into (2 x 7) x (2 x 2)

First you o 7 x 2, which is 14, and then you do 14 x 2 which is 28.

Answer:

  the volume of the basketball when the radius is r

Step-by-step explanation:

V(r) is a function name V and argument list (r). Often the letter of the function name is a reminder of what the function computes. Here, V is chosen as the name because it computes Volume. The function uses r (for radius) as its independent variable. That is why r is listed in parentheses next to the function name.

So, V(r) represents a function that computes the volume of a sphere with radius r.

Answer:

What he said up top.

Step-by-step explanation:

Edg 2020

Answer:

We conclude that the mean resting pulse rate for men is 72 beats per minute.

Step-by-step explanation:

We are given that he mean resting pulse rate for men is 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch's Gym is known to be 2.6 beats per minute.

A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below;

87, 89, 69, 63, 70, 65, 88, 84, 58, 53, 66, 70.

Let \(\mu\) = mean resting pulse rate for men.

SO, Null Hypothesis, \(H_0\) : \(\mu\) = 72 beats/minute     {means that the mean resting pulse rate for men is 72 beats per minute}

Alternate Hypothesis, \(H_A\) : \(\mu\) < 72 beats/minute      {means that the mean resting pulse rate for men is less than 72 beats per minute}

The test statistics that would be used here One-sample z-test statistics as we know about population standard deviation;

                            T.S. =  \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\)  ~ N(0,1)

where, \(\bar X\) = sample mean mean resting pulse rate = \(\frac{\sum X}{n}\)

                =  \(\frac{87+ 89+ 69 +63 +70 +65+ 88+ 84+ 58+ 53+ 66+ 70}{12}\)  = 71.83 beats/minute

            \(\sigma\) = population standard deviation = 2.6 beats per minute

            n = sample of men = 12

So, the test statistics  =  \(\frac{71.83 - 72}{\frac{2.6}{\sqrt{12} } }\)    

                                     =  -0.23

The value of z test statistics is -0.23.

Also, P-value of the test statistics is given by;

            P(Z < -0.23) = 1 - P(Z \(\leq\) 0.23)

                                 = 1 - 0.59095 = 0.40905

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is more than the critical value of z as -0.23 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean resting pulse rate for men is 72 beats per minute.

A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.

The symbols W and L are variables.

The symbol P is a constant.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(L + W)

52 = 2(12 + 14)

52 = 2(26)

52 feet = 52 feet.

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Using a linear function and a quadratic function, the system of equations that can be used to model this situation is:

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

For this problem, the vertex is at (4,2), hence h = 4, k = 2 and the equation is:

y = a(x - 4)² + 2.

It passes through the point (5, 4), hence when x = 5, y = 4, which we use to find a.

4 = a + 2.

a = 2.

Thus the equation is:

y = 2(x - 4)² + 2.

The linear equation is given by:

y = mx + b

In which:

The road connects points (–3, 7) and (8, 2), hence the slope is given by:

m = (2 - 7)/(8 - (-3)) = -5/11.

Then:

y = -5/11x + b.

When x = 8, y = 2, hence we use it to find b as follows:

2 = -40/11 + b

b = 62/11.

Then the equation is:

y = -5/11x + 62/11.

Multiplying by 11:

11y = -5x + 62.

5x + 11y = 62.

The system of equations is:

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Answer:

StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 5 x + 11 y = 62 EndLayout

Step-by-step explanation:

The answer above is correct.

Hey there! I'm happy to help!

Let's pretend that we are building a small sundae. We have 3 choices of ice cream flavors.

Now, we want to pick a topping. We have 4 choices here.

After we choose a topping, we can pick another. We only have 3 choices now because we need different toppings, and we already used one.

We want to find how many possible combos we can make. What we do is multiply all of these numbers of choices, and this will show us how many possible sundaes there are.

3×4×3=36

Therefore, there are 36 different sundaes that can be made.

Have a wonderful day! :D

Answer:

The answer is 56

Step-by-step explanation:

The equation is Y=56x+4 I think

The equation of the line that describes the relationship between distance y and time x from the given graph is y=56x.

Given that, bus X travels 224 miles in 4 hours.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The coordinate points of a line from the given graph are (4, 224) and (1, 56).

Here, slope (m) = (56-224)/(1-4)

= -168/(-3)

= 168/3

= 56

Put m=56 and (x, y)=(4, 224) in y=mx+c, we get

224=56(4)+c

⇒ c=0

Substitute m=56 and c=0 in y=mx+c, we get

y=56x+0

⇒ y=56x

Therefore, the equation of the line that describes the relationship between distance y and time x from the given graph is y=56x.

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Therefore , the solution of the given problem of unitary method comes out to be the letters A, B, A, and B can thus be arranged in six distinct ways.

Using what was learned, utilising this varied approach, and combining all crucial factors from prior researchers who employed a certain methodology can enable completion of the assignment. The entity indicated in the proposition can then either also be discovered or both crucial processes will definitely miss the expression if the desired claim outcome occurs. A refundable prepayment of Rupees ($1.21) may be needed for fifty pens.

Here,

The following formula can be used to create permutations of n objects with repeats of k1, k2,..., kr objects of each type:

=> n!/(k1! * k2! * ... * kr!)

We have two different object kinds (A and B) here, both of which are repeated twice. As a result, we have:

n = 4 (the total number of things) (the total number of objects)

=>k1 = k2 = 2 (the number of objects of each category) (the number of objects of each type)

The result of the formula is:

=> 4!/(2! * 2!) = 24/(2 * 2) = 6

The letters A, B, A, and B can thus be arranged in six distinct ways.

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Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Answer:

39886

Step-by-step explanation:

youre welcome :)

The answer is D but I'm not 100% sure since I don't see the graph

The question is missing parts. Here is the complete question.

Find the absolute maximum and absolute minimum values of f on the given interval.

\(f(x)=xe^{-\frac{x^{2}}{32} }\) , [ -2,8]

Answer: Absolute maximum: f(4) = 2.42;

              Absolute minimum: f(-2) = -1.76;

Step-by-step explanation: Some functions have absolute extrema: maxima and/or minima.

Absolute maximum is a point where the function has its greatest possible value.

Absolute minimum is a point where the function has its least possible value.

The method for finding absolute extrema points is

1) Derivate the function;

2) Find the values of x that makes f'(x) = 0;

3) Using the interval boundary values and the x found above, determine the function value of each of those points;

4) The highest value is maximum, while the lowest value is minimum;

For the function given, absolute maximum and minimum points are:

\(f(x)=xe^{-\frac{x^{2}}{32} }\)

Using the product rule, first derivative will be:

\(f'(x)=e^{-\frac{x^{2}}{32} }(1-\frac{x^{2}}{16} )\)

\(f'(x)=e^{-\frac{x^{2}}{32} }(1-\frac{x^{2}}{16} )\) = 0

\(1-\frac{x^{2}}{16}=0\)

\(\frac{x^{2}}{16}=1\)

\(x^{2}=16\)

x = ±4

x can't be -4 because it is not in the interval [-2,8].

\(f(-2)=-2e^{-\frac{(-2)^{2}}{32} }=-1.76\)

\(f(4)=4e^{-\frac{4^{2}}{32} }=2.42\)

\(f(8)=8e^{-\frac{8^{2}}{32} }=1.08\)

Analysing each f(x), we noted when x = -2, f(-2) is minimum and when x = 4, f(4) is maximum.

Therefore, absolute maximum is f(4) = 2.42 and

absolute minimum is f(-2) = -1.76

The absolute maximum and absolute minimum values of f(x) are 2.426 and -1.765, respectively.

The function is given as:

\(\mathbf{f(x) = xe^{-\frac{x^2}{32}}}\)

Start by differentiating the function

\(\mathbf{f'(x) = e^{-\frac{x^2}{32}} - \frac{x^2}{16}e^{-\frac{x^2}{32}}}\)

Set to 0

\(\mathbf{ e^{-\frac{x^2}{32}} - \frac{x^2}{16}e^{-\frac{x^2}{32}} = 0}\)

Rewrite as:

\(\mathbf{ \frac{x^2}{16}e^{-\frac{x^2}{32}} = e^{-\frac{x^2}{32}}}\)

Cancel out common factors

\(\mathbf{ \frac{x^2}{16}=1}\)

Multiply both sides by 16

\(\mathbf{ x^2=16}\)

Take square roots of both sides

\(\mathbf{ x=\pm 4}\)

The interval is given as: [-2,8]

This means that the value of x = -4, is out of the interval.

So, we have the following critical points:

x = (-2, 4, 8)

Calculate f(x) at the these points

\(\mathbf{f(-2) = -2 \times e^{-\frac{(-2)^2}{32}}}\)

\(\mathbf{f(-2) = -2 \times e^{-\frac{4}{32}}}\)

\(\mathbf{f(-2) = -1.765}\)

\(\mathbf{f(4) = 4 \times e^{-\frac{(4)^2}{32}}}\)

\(\mathbf{f(4) = 4 \times e^{-\frac{16}{32}}}\)

\(\mathbf{f(4) = 2.426}\)

\(\mathbf{f(8) = 8 \times e^{-\frac{(8)^2}{32}}}\)

\(\mathbf{f(8) = 8 \times e^{-\frac{64}{32}}}\)

\(\mathbf{f(8) = 1.083}\)

By comparison, the absolute maximum and absolute minimum values of f(x) are 2.426 and -1.765, respectively.

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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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To determine how the surface area of a rectangular prism changes when all dimensions are quadrupled, we need to compare the original surface area to the new surface area.

The original surface area of the rectangular prism is given by:

SA_original = 2lw + 2lh + 2wh

where l, w, and h represent the length, width, and height of the prism, respectively.

In this case, the dimensions of the original box are:

Length (l) = 3 ft

Width (w) = 6 ft

Height (h) = 5 ft

Substituting these values into the formula, we have:

SA_original = 2(3)(6) + 2(3)(5) + 2(6)(5)

            = 36 + 30 + 60

            = 126 square feet

Now, if we quadruple all the dimensions of the box, the new dimensions would be:

Length (l_new) = 4(3) = 12 ft

Width (w_new) = 4(6) = 24 ft

Height (h_new) = 4(5) = 20 ft

The new surface area of the enlarged box is given by:

SA_new = 2(l_new)(w_new) + 2(l_new)(h_new) + 2(w_new)(h_new)

       = 2(12)(24) + 2(12)(20) + 2(24)(20)

       = 576 + 480 + 960

       = 2016 square feet

Comparing the original surface area (SA_original = 126 sq ft) to the new surface area (SA_new = 2016 sq ft), we can see that SA_new is 16 times greater than SA_original.

Therefore, the correct answer is:

1. The new surface area would be 16 times the original surface area.

Answer:

78%

Step-by-step explanation:

.94 + .78 + .62 = 2.34

2.34/3 = .78

.78 = 78%

Jeremy's weighted average is 83.6%

The grades and the weights of the grades can be represented using the following table

Subject     Final Grade   Average

Test              50%              94%

Quiz             35%               78%

Homework   15%               62%

The weighted average (w) is the sum of the product of the final grades and the average.

So, we have:

\(w = \sum Final\ Grade \times Avearge\)

This gives

\(w = 50\% \times 94\% + 35\% \times 78\% + 15\% \times 62\%\)

Evaluate the products

\(w = 47\% + 27.3\% + 9.3\%\)

Evaluate the sums

\(w = 83.6\%\)

Hence, the weighted average is 83.6%

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Based on the information, we can infer that the gumball machine had 530 blue gumballs, 106 red gumballs, 848 green gumballs, 424 pink gumballs, 212 yellow gumballs.

To find the amount of gum of each color that was in the machine we must perform rules of three as shown below:

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Answer: m=45

Explanation:The slope of the line would be the same as in the equation (

m

=

4

5

) .

The only difference of a line running parallel would be the

b

value in

y

=

m

x

+

b

Answer:

1) A) 25%

2) B) 16%

3) A) 93%

Step-by-step explanation:

1)

0.25 = 25%

2)

More than 3 means, 4 and 5

0.12 + 0.04 = 0.16 = 16%

3)

x ≥ 1

So that means 1+ days (everything except 0)

0.25 + 0.18 + 0.34 + 0.12 + 0.04

0.93 = 93%