I need help with problem 11

Answer:

11:40

Step-by-step explanation:

9:30 and 2 hours and 10min is 11:40

Therefore, √128 lies between 11 and 12 on a number line.

To determine the two numbers between which √128 lies on a number line, we can calculate the square roots of consecutive perfect squares that surround 128.

By calculating the square roots, we can find the two nearest whole numbers that √128 lies between.

Calculating the square roots of perfect squares near 128:

√121 = 11

√144 = 12

Since 128 is greater than 121 and less than 144, √128 lies between √121 and √144 on the number line.

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9514 1404 393

Answer:

  (a) 6² +3² +1² +1² = 47

  (b) 5² +4² +2² +1² +1² = 47

  (c) 3³ +4² +2² = 47

Step-by-step explanation:

It can work reasonably well to start with the largest square less than the target number, repeating that approach for the remaining differences. When more squares than necessary are asked for, then the first square chosen may need to be the square of a number 1 less than the largest possible.

The approach where a cube is required can work the same way.

(a) floor(√47) = 6; floor(√(47 -6^2)) = 3; floor(√(47 -45)) = 1; floor(√(47-46)) = 1

__

(b) floor(√47 -1) = 5; floor(√(47-25)) = 4; ...

__

(c) floor(∛47) = 3; floor(√(47 -27)) = 4; floor(√(47 -43)) = 2

A line is seen on the graph. The horizontal displacement is 2 units, and the graph's rate of change is 0.5.

Point A's coordinates are: (2,1).

Point B's coordinates are: (4,2).

The coordinates of the point change from (2.1) to (2.1) as you go from point A to point B. (4,2).

Consequently, the change in x-coordinate is what determines the point's horizontal displacement and will be,

4 2 2

Therefore, the horizontal displacement is two units.

The vertical displacement is also one unit.

Now, the graph's rate of change may be calculated by looking at the graph's line's slope.

The rate of change will thus be,

m = y2- y1 / x2 - x1

m =2-1 / 4-2

m = 1/2

Consequently, the rate of change = 0.5

horizontal displacement = 2 units.

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What is the vertical change from Point A to Point B?

1

What is the horizontal change from Point A to Point B?

What is the rate of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary

Answer:

nooooo

Step-by-step explanation:

an equivalent ratio to 6:4 would be 3:2 and an equivalent ratio for 4:3 would be 8:6

hope this helps! :)

The ratios 3:2 and 4:3 are not the same ratio, we can conclude that 6:4 and 4:3 are not equivalent ratios.

A proportion is a statement that two ratios are equal. It compares two ratios and states that they are equivalent.

No, the ratios of 6:4 and 4:3 are not similar. We must reduce each ratio to its simplest form in order to determine whether two ratios are equivalent (by dividing both the numerator and denominator by their greatest common factor).

For 6:4, the greatest common factor is 2, so we can simplify to:

6:4 = 3:2

For 4:3, there are no common factors other than 1, so it is already in its simplest form.

Since 3:2 and 4:3 are not the same ratio, we can conclude that 6:4 and 4:3 are not equivalent ratios.

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Answer:

11

Step-by-step explanation:

The first step to do is open the brackets. While doing so, remember the rule of multiplying mathematical signs.

- * - = +

So we have

9 - * -2

9 + 2 = 11

Answer:

26

Step-by-step explanation:

76° + (2x)° = (5x - 2)°

76 + 2x = 5x - 2

76 + 2 = 5x - 2x

78 = 3x

26 = x

x = 26

Answer: 58

Step-by-step explanation:

65 + 57 = 122

180 - 122 = 58

65 + 57 + 58 = 180

The measure of the other two angles if, A quadrilateral has two angles that measure 180° and 45° and The other two angles are in a ratio of 10:17 are 50° and 85° respectively.

A polygon with four sides, four angles, and four vertices is called a quadrilateral. The arrangement of the vertices must be taken into consideration whenever a quadrilateral is named.

Given:

A quadrilateral has two angles that measure 180° and 45°,

The other two angles are in a ratio of 10:17,

Calculate the measure of the other two triangles as shown below,

Assume the angle is x then,

10x and 17x

10x + 17x + 180 + 45 = 360   (The sum of interior angle is 360°)

27x =  360 - 225

27x = 135

x = 5

Thus, third angle = 10 × 5 = 50°

Fourth angle = 17 × 5 = 85°.

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Using the graph given:

1. 1. Initial height of plane A: 4 miles.

2. Plane B was 1 mile.

3. The time both planes fly at exactly the same height is: 20 seconds.

A graph illustrates the relationship between two variables, one plotted on the x-axis upon which the one plotted on the y-axis depends on.

Like in the graph shown above, the time in seconds is plotted on the x-axis as against the height in miles on the y-axis.

Each point on the graph, (x, y) shows the height (y) of the plane after some seconds (x).

Therefore:

1. The initial height of plane A is at 4 miles.

2. After 40 secs, the height of plane B was 1 mile.

3. The point where the two lines intersect shows when the time and height of both planes are the same. Therefore, at 20 seconds, both planes were flying at the same height of 3 miles.

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Answer:

Step-by-step explanation

Kf i help u wojld u help me

Answer: your answer will be 72 divided by 8

Step-by-step explanation: because they wanna know how many pages she put stickers on in if you divide it will tell you how many pages she put stickers on witch is 9

Given:

Setup fee = $40

Additional charges = $6.50 per t-shirt

To find:

The solutions for this problem.

Solution:

Let C be the total cost for t t-shirt.

Additional cost of 1 t-shirt = $6.50

Additional cost of t t-shirt = $6.50t

Setup fee = $40

Then, Total cost = setup fee + Additional charges

\(C=40+6.50t\)

For t=25,

\(C=40+6.50(25)\)

\(C=40+162.5\)

\(C=202.5\)

So, t = 25, C = 202.50 is a solution.

Similarly,

For t=35,

\(C=40+6.50(35)\)

\(C=40+227.5\)

\(C=267.5\neq 205\)

So, t = 35, C = 205 is not a solution.

For t=50,

\(C=40+6.50(50)\)

\(C=40+325\)

\(C=365\)

So, t = 50, C = 365 is a solution.

Therefore, the correct options are A and C.

There are 15 non-isomorphic trees with 5 vertices. Hence the option C is correct.

The question is asking about the number of non-isomorphic trees with five vertices.

A tree is a connected graph with no kind of cycles.

So, for the given problem, we are required to find out the total number of non-isomorphic trees with 5 vertices.

We know that the number of non-isomorphic trees with n vertices is equal to n*(n-2)

For the given problem, n = 5

Therefore, the number of non-isomorphic trees with 5 vertices is equal to 5*(5-2) = 15

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Answer:

34 minutes

Step-by-step explanation:

Given:

Ratio of time for which Pepperoni pizza and cheese pizza should be baked is given as:

\(P = 3C - 2\)

Where \(P\) is the time for which pepperoni pizza should be baked and

\(C\) is the time for which Cheese pizza should be baked.

Also, it is given that a small Cheese pizza should be baked for 12 minutes.

In other words, we are given that: \(C=12\ min\)

To find:

For how long small pepperoni pizza should be baked ?

In other words,

\(P=?\)

Solution:

Let us put the value of \(C\) in the equation of the model.

\(P = 3C - 2\)

\(\Rightarrow P = 3\times 12 - 2\\\Rightarrow P = 36 - 2\\\Rightarrow P = \bold{34\ min}\)

Therefore, a small pepperoni pizza should be baked for 34 minutes.

Answer: This question cannot be answered.

Explanation:

If you add three odd numbers, the sum must also be an odd number. To get an even number, you have to add an even number of odd numbers, e.g. 2 or 4. Adding 3 odd numbers to get 30 is therefore not possible. So the question cannot be answered.

Answer:

a) 2

b) -\(\frac{1}{2}\)

c) y = 2x + 1

Step-by-step explanation:

a)

First put the equation into slope intersept form (y=mx+b) by...

Slope intersept form : y = 2x + 4

Parallel lines have the same slope so.... a parallel slope is 2

b)

First put the equation into slope intersept form (y=mx+b) by...

Slope intersept form : y = 2x + 4

To find a perpendicular slope flip the slope and change the sign : -\(\frac{1}{2}\)

c)

First put the equation into slope intersept form (y=mx+b) by...

Slope intersept form : y = 2x + 4, parellel slope : 2

Use the slope and y-intersept (b) to write the new line : y = 2x + 4

The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .

In the question ,

we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,

we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .

the confidence interval are useful because ,

(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .

(ii) they make data analyses richer and help us to make more informed decisions about the research questions .

Therefore , the reason how confidence interval helps is mentioned above.

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This is a prospective cohort study.

Answer:

The rate of change: -1

Step-by-step explanation:

The rate of change is the slope.

The equation is in slope-intercept form y = mx + b

m = the slope

The equation y = -x + 5

We see the slope is -1.

So, the rate of change is -1.

Answer: 10% or 20% (if I’m wrong I’ll fix)

Step-by-step explanation:

R = 1 / L = ∞. Thus, the radius of convergence of the given power series is ∞. The interval of convergence is (-1,1) is the answer.

a)The indefinite integral of x7ln(1 + x) can be obtained by using the formula for integration by parts. For the same, we need to select the parts as u and dv, such that on differentiating u and integrating dv, the obtained integrals get easier to solve.

Let us select x7 as u and ln(1 + x)dx as dv.u = x7 => du/dx = 7x6 => du = 7x6dx, and v = ∫ ln(1 + x)dx.

Using u and v, we can express the integral as,x7ln(1 + x)dx= ∫ u dv= uv - ∫ v du= x7 ln(1 + x) - ∫ 7x6/ (1 + x) dx = x7ln(1 + x) - 7 ∫ x6/ (1 + x) dxThe indefinite integral of the term ∫ x6/ (1 + x) dx can be obtained by the substitution method, let t = 1 + x, then x = t - 1, and dx = dt.∫ x6/ (1 + x) dx= ∫ (t - 1)6/t dt= ∫ (t6 - 6t5 + 15t4 - 20t3 + 15t2 - 6t + 1)/ t dt= ∫ t6/t dt - 6 ∫ t5/t dt + 15 ∫ t4/t dt - 20 ∫ t3/t dt + 15 ∫ t2/t dt - 6 ∫ t/t dt + ∫ 1/t dt= ∫ t5 dt - 6 ∫ t4 dt + 15 ∫ t3 dt - 20 ∫ t2 dt + 15 ∫ t dt - 6 ln|t| + ln|t| + C= t6/6 - 6t5/5 + 15t4/4 - 20t3/3 + 15t2/2 - 6 ln|t| + C.

Substituting the value of t, we get the indefinite integral of the original expression as,x7 ln(1 + x)dx= x7ln(1 + x) - 7 [x6/6 - 6x5/5 + 15x4/4 - 20x3/3 + 15x2/2 - 6 ln|1 + x|] + C= x7ln(1 + x) - x6 - 42x5/5 - 280x4/4 - 1125x3/3 - 1875x2/2 - 3150x - 735 ln|1 + x| + C.

Now, we need to obtain the power series for f(x) = x7ln(1 + x).

The formula to obtain the power series for f(x) = (1 / 1 - x)2 is as follows,f(x) = Σn=0 ∞ (n + 1)xn.

The integral x7ln(1 + x) can be written as Σn=1 ∞ (-1)n-1 xn / n.

Therefore, the power series for x7ln(1 + x) can be written as,f(x) = ∑n=1 ∞ (-1)n-1 xn / n= -x + x2/2 - x3/3 + x4/4 - x5/5 + x6/6 - x7/7 + ...= C + ∑n=1 ∞ (-1)n-1 xn / n, Where C is a constant, we can evaluate the value of C by substituting x = 0 in the power series. f(0) = 0, therefore, the constant C = 0.

Now, we need to obtain the radius of convergence of the obtained power series using the formula for the radius of convergence, R = 1 / lim supn→∞ |an|where an is the nth term in the power series.

In this case, |an| = |(-1)n-1 / n| = 1 / n.Let L = lim supn→∞ |an| = limn→∞ |an| = 0Therefore, R = 1 / L = ∞Therefore, the radius of convergence is ∞.

b)To obtain the power series for the given function f(x) = 13 / (x2 - 5x - 36), we need to first perform the partial fraction decomposition of the given function. The partial fraction decomposition of the given function is given as follows,f(x) = 13 / (x2 - 5x - 36)= 13 / [(x - 9)(x + 4)] = A / (x - 9) + B / (x + 4) where A and B are constants.

To obtain the values of A and B, we can equate the numerators on both sides and solve for A and B.13 = A(x + 4) + B(x - 9)At x = 9, we get 13 = 13B, B = 1.At x = -4, we get 13 = -4A, A = -13/4.

Therefore, the partial fraction decomposition of the given function is,f(x) = 13 / (x2 - 5x - 36)= -13/4 * 1 / (x + 4) + 1 / (x - 9)

Now, we can write the power series for the above partial fractions. The power series for 1 / (1 - x) is given by,f(x) = Σn=0 ∞ xn, |x| < 1

The power series for 1 / (x + 4) is given by,f(x) = -1/4 * Σn=0 ∞ (-x / 4)n, |x / 4| < 1

The power series for 1 / (x - 9) is given by,f(x) = Σn=0 ∞ (x / 9)n, |x / 9| < 1

Substituting the above power series in the original function, we get the power series for the given function as,f(x) = -1/4 * Σn=0 ∞ (-x / 4)n + Σn=0 ∞ (13 / 4) (x / 9)n= Σn=0 ∞ [-1/9 * (x / 4)n - 1/4 * (-x) n](x / 9)

Therefore, the power series for the given function is,f(x) = Σn=0 ∞ [-1/9 * (x / 4)n - 1/4 * (-x) n](x / 9)

The given function f(x) has the power series representation, f(x)= ∑n=0 ∞ [-1/9 * (x/4)n - 1/4 * (-x)n] * (x/9)n where c= 0.

Now, the radius of convergence of a power series is given by the formula,R = 1 / lim supn→∞ |an| where an is the nth term in the power series.

In this case, the nth term in the power series is given by |an| = |(-1)n-1 / 9 * 4n-1 | + |(-1)n / 4 * n|Let L = lim supn→∞ |an|. L = limn→∞ |(-1)n-1 / 9 * 4n-1 | + |(-1)n / 4 * n|L = 0 + 0 = 0.

Therefore, R = 1 / L = ∞Thus, the radius of convergence of the given power series is ∞.The interval of convergence is (-1,1)

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Answer:

\(\frac{1}{2}\)

Step-by-step explanation:

\(\frac{5}{12} +\frac{1}{12} =\frac{6}{12}\)

\(Simplify\)

\(\frac{1}{2}\)

Answer:

98 is ur answer

xd hope it help u :)

Answer:

the probaility of choosing a red shirt is 1

To find the average growth, you'll need to analyze data points over a specific period of time and calculate the growth rate between each point. Here's a step-by-step guide:

1. Gather data: Collect the data points you want to analyze. These can be values related to population, financial performance, or any other growth-related metric.
2. Calculate the growth: For each pair of consecutive data points, calculate the growth rate using the formula: (New Value - Old Value) / Old Value.
3. Sum up the growth rates: Add up all the growth rates you've calculated in step 2.
4. Divide by the number of periods: To find the average growth, divide the sum of growth rates by the number of periods (data points - 1). This will give you the average growth rate for the entire time period.
Remember, the average growth rate helps you understand the overall trend of growth, but it doesn't necessarily reflect the actual growth rate at each specific point in time.

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Answer:

x = 69

Step-by-step explanation:

Sum of angles around a point = 360

i.e,

=> 168 + 123 + x = 360

=> 291 + x = 360

=> x = 360 - 291  

=> x = 69

Answer:

Basic fact:

all the angles in this graph will add up to 360 degrees

Step-by-step explanation:

168+123

=291

360-291=69

x=69

Answer:

Step-by-step explanation:

7 students from the Junior class.

6 students from the Senior class.

4 new members are to be chosen.

Required: Find the number of ways 4 new members can be chosen if 2 or fewer must be from the senior class. So, Therefore, the correct answer is 560 ways.

Solution for given inequality is \(-5\leq x\leq -2\)

                                         or         \(x\) ∈ [ -5 , -2]

 a.) Solve  -24 <= 4x - 4 <= -12

Case I :

                      -24 <= 4x - 4                          

                     \(-24 + 4\leq 4x\)

                                       \(-20 \leq 4x\)

                                             \(\frac{-20}{4} \leq x\)

                                                    \(-5\leq x\)   ........ (I)

Case II :

                     4x - 4 <= -12

                      \(4x\leq -12+4\)

                           \(4x\leq -8\)

                              \(x\leq \frac{-8}{4}\)

                                 \(x\leq -2\)   ......................(II)

combining (I) and (II) we get,

                              \(-5\leq x\leq -2\)

b). graph of

                              \(-5\leq x\leq -2\) , refer the attachment

c). Solution in interval

                                   \(x\) ∈ [ -5 , -2]

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The domain of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of f and the domain of g which is false.

A statement, opinion, or rule that forms a linking of two variables is characterized as a function. Mathematics has functions, which are necessary for the design of meaningful relationships.

The range refers to all potential values of y, and the domain refers to all conceivable values of x.

The denominator of the rational function shouldn't be 0. The function is not defined if the denominator is 0.

Thus, the given statement is false.

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Answer:

New avg = 103

Step-by-step explanation:

(5 x 100 + 118) / 6 = 103 average