3x + 4x + 5x
Simply the expression

x° = 90° - 29°

x° = 61°

y° = 29°

from,

180° on the straight line

take,

90° - 29° (from the right side)

61° + x° + y° + 29° = 180°

substitute the known values to obtain y value.

Answer:

this is the answer I came up with hope this helps

Answer:

E. The absolute value and square root function share an x-intercept.

Step-by-step explanation:

Pre-Calc on Edge 2022

Answer:

146 didn't vote

Step-by-step explanation:

With this situation, start from the vote for all 4, then move onto the vote of 3 out of 4, then the vote of 2 of the 4 and lastly deal with with the vote of 1 out of the 4;

I've tabulated it in the attached excel document;

First, there are 50 votes for A, B, C and D;

Then there are 100 votes for B, C and D;

Now, the 50 who voted for all 4 are included in the 100 for B, C and D because someone who votes for A, B, C and D has voted for B, C and D;

This means we need to deduct 50 from 100 to get 50, which is the number of voters who voted for B, C and D, but not A;

This is done for all the options where students voted for 3 of the 4;

For those who voted C and D, there are 250, but this will include the 50 who voted A, C and D, the 50 who voted B, C and D and the 50 who voted A, B, C and D;

So, we have to subtract 3×50 (= 150) from 250 to get 100 as is shown in the table;

The table is quite helpful as it shows clearly who will be included in the numbers given in the question info;

We do the same for all those who vote for 2 of the 4;

For those who voted just D, we need to add the votes of all those who voted for D and anyone else, which is 500, and subtract this from the total number of votes for D, which is 1000;

And similarly, we do the same for A, B and C as well;

Now, we can sum all the votes, which gives 2850 and subtract this from the total number of voters, which is 2996 (remember we have to exclude the 4 band members as they can't vote);

This gives us:

2996 - 2850 = 146

Answer:

x=6

Step-by-step explanation:

We can use ratios to solve

18              4x+6

--------- = -------------

24               40

Using cross products to solve

18*40 = 24 * (4x+6)

720 = 24*(4x+6)

Divide each side by 24

720/24 = 24/24 (4x+6)

30 = 4x+6

Subtract 6 from each side

30-6 = 4x+6-6

24 = 4x

Divide each side by 4

24/4 = 4x/4

6 = x

Answer:One pound of nitrogen or mixed fertilizer is recommended per 1,000 square feet of lawn and your particular fertilizer contains 20% nitrogen. Refer to Table 1 to convert this to five pounds of fertilizer that should be applied per 1,000 square feet.

Step-by-step explanation:

Answer:

Step-by-step explanation:

AB=-6×-5÷-1×3

AB= 30÷-3

This derivation provides you with the general form of the Laplace transform of e^(-at)cos(2wt)u(t) without relying on a Laplace table.

To derive the Laplace transform of the given function e^(-at)cos(2wt)u(t), we can use the definition of the Laplace transform and apply integration by parts.

The Laplace transform of a function f(t) is given by:

F(s) = L{f(t)} = ∫[0 to ∞] f(t)e^(-st) dt

Let's apply this definition to the given function:

F(s) = ∫[0 to ∞] e^(-at)cos(2wt)u(t)e^(-st) dt

Since the unit step function u(t) is present, we can rewrite the integral as:

F(s) = ∫[0 to ∞] e^(-at)cos(2wt)e^(-st) dt

Now, let's perform integration by parts with respect to t.

∫ u v' dt = u v - ∫ v u' dt

Let's choose u = e^(-at) and dv = cos(2wt)e^(-st) dt. Then, we have:

du = -ae^(-at) dt    (differentiating u with respect to t)

v = ∫ cos(2wt)e^(-st) dt

To find v, we can apply integration by parts again, this time with u = cos(2wt) and dv = e^(-st) dt:

du = -2w sin(2wt) dt   (differentiating u with respect to t)

v = -e^(-st)/s        (integrating dv)

Now, let's substitute these values into the integration by parts formula:

∫ e^(-at)cos(2wt)e^(-st) dt = -e^(-at) * (e^(-st)/s) - ∫ (-e^(-st)/s) * (-2w sin(2wt) dt)

Simplifying:

∫ e^(-at)cos(2wt)e^(-st) dt = -e^(-at)e^(-st)/s + (2w/s) ∫ e^(-st)sin(2wt) dt

Next, we can apply integration by parts to the remaining integral:

u = e^(-st) and dv = sin(2wt) dt

du = -se^(-st) dt    (differentiating u with respect to t)

v = -cos(2wt)/2w    (integrating dv)

Substituting these values into the integration by parts formula:

∫ e^(-st)sin(2wt) dt = -e^(-st) * (-cos(2wt)/2w) - ∫ (-cos(2wt)/2w) * (-se^(-st) dt)

Simplifying:

∫ e^(-st)sin(2wt) dt = (e^(-st)cos(2wt))/(2w) + (s/2w) ∫ e^(-st)cos(2wt) dt

Now, we have expressions for both integrals. Let's substitute them back into the previous result:

∫ e^(-at)cos(2wt)e^(-st) dt = -e^(-at)e^(-st)/s + (2w/s) * [(e^(-st)cos(2wt))/(2w) + (s/2w) ∫ e^(-st)cos(2wt) dt]

Simplifying:

∫ e^(-at)cos(2wt)e^(-st) dt = -e^(-at)e^(-st)/s + (e^(-st)cos(2

wt))/(s^2 + 4w^2) + (s/2w^2) ∫ e^(-st)cos(2wt) dt

This integral is recursively defined and requires further evaluation. However, I hope this derivation provides you with the general form of the Laplace transform of e^(-at)cos(2wt)u(t) without relying on a Laplace table.

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A cylindrical object is 3.13 cm in diameter and 8.94 cm long and weighs 60.0 g. The density of the cylindrical object is 0.849 g/cm^3.

To calculate the density, we first need to find the volume of the cylindrical object. The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height (length) of the cylinder.

Given that the diameter is 3.13 cm, the radius is half of that, which is 3.13/2 = 1.565 cm. The length of the cylinder is 8.94 cm.

Using the values obtained, we can calculate the volume: V = π * (1.565 cm)^2 * 8.94 cm = 70.672 cm^3.

The density is calculated by dividing the weight (mass) of the object by its volume. In this case, the weight is given as 60.0 g. Therefore, the density is: Density = 60.0 g / 70.672 cm^3 = 0.849 g/cm^3.

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To find the number when 28 is the geometric mean of 13 and that number, we'll use the formula for the geometric mean: √(a * b) = GM, where a and b are the two numbers, and GM is the geometric mean. In this case, a = 13, GM = 28.

Step 1: Substitute the given values into the formula:
√(13 * b) = 28

Step 2: Square both sides to get rid of the square root:
(√(13 * b))^2 = 28^2
13 * b = 784

Step 3: Divide both sides by 13 to isolate b:
b = 784 / 13
b ≈ 60.31

So, the other number is approximately 60.31 when rounded to the nearest hundredth. In summary, 28 is the geometric mean of 13 and 60.31, as √(13 * 60.31) ≈ 28.

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The median is likely to be a better measure of the center of the data set because the median is immune to outliers since it is dependent only on the middle values in the dataset.

When dealing with skewed data, the median is a better measure of central tendency than the mean. A data set that is skewed will have a mean that is skewed in the same direction as the tail. The median is the middle number in a dataset that has been sorted in ascending or descending order.

If the dataset has an odd number of values, the median is the middle value. If the dataset has an even number of values, the median is the average of the two middle values. To find the median in this frequency table, you'll first need to calculate the total number of observations.

Since each observation is listed with its frequency in the table, you can find the total number of observations by adding up the frequencies. Thus, there are 23 total observations. The median of this dataset is then the 12th value since 11 values are below it and 11 values are above it. Since there is only one value in the middle, that value is the median. Thus, the median of this dataset is 23.

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The complete question is:

Given the following frequency table of values, is the mean or the median likely to be a better measure of the center of the data set?

Value Frequency

23 4

24 3

25 4

26 4

27 2

28 4

Select the correct answer below. O Mean O Median.

Answer:

I think the answer is d = 1.5t

Step-by-step explanation:

To solve this problem we need to apply the average speed formula, which is shown below:

We need to find the time, therefore we will arrange the equation in order to isolate the time on the left side as shown below:

Applying the data from the problem:

15.05 ÷ 7 = $2.15 per gallon

--

2.15 x 4 = $8.60

--

jamal can buy 4 gallons of gas

Outliers in regression can be identified by looking for data points that are far away from the overall trend of the data. These points are usually evaluated by calculating the distance from the regression line to the point and comparing it to the standard deviation of the model.

Outliers in regression can be identified by looking for data points that are far away from the overall trend of the data. These points will often have a much larger or smaller value than the rest of the data, so they can be easily spotted by eye. However, to make sure that a point is truly an outlier, it is important to calculate the distance from the regression line to the point and compare it to the standard deviation of the model. If the distance is greater than two or three times the standard deviation, then the point is likely an outlier. Outliers can have a significant effect on the outcome of a regression analysis, so it is important to identify and address them appropriately.

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Hey there!

5(x + 2) = 40

5(x) + 5(2) = 40

5x + 10 = 40

5x + 10 - 10 = 40 - 10

5x = 30

5x/5 = 30/5

x = 6

Answer: x = 6 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite140:)

Answer:

Step-by-step explanation:

Here you go mate

Step 1

5(x+2)=40  Equation/Question

Step 2

5(x+2)=40  Remove parenthesis

5x+10=40

Step 3

5x+10=40  Subtract 10

5x=30

Step 4

5x=30  Divide sides by 5

Answer

x=6 ☑️

Hope this helps

The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.

The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.

To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.

Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929

Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.

This means that the overall performance of all the students is slightly below the average of the scores in each group.

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Answer:

37.99

Step-by-step explanation:

Find the amount of tax

35.50 * 7%

Change to decimal form

35.50 *.07

2.485

Round to the nearest cent

2.49

Add this to the original cost

35.50+2.49

37.99

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-2 +(-5) is basically -2 - 5

Don't let it confuse you.

The congruent segments, \( SC \cong HR \) and \( HR \cong AB\), according to the substitution property of equality, gives; \( SC \cong AB \)

The given parameters are;

Required;

To prove;

\( SC \cong AB\)

Solution;

From the given parameters, and the definition of congruency, we have;

According to the symmetric property of equality, we have;

SC = HR

Therefore;

According to the substitution property of equality, we have;

If a = b and a = c, therefore;

b = c

Which gives;

HR = SC

HR = AB

Therefore;

SC = AB

Which gives;

\( SC \cong AB \) (Inverse of the definition of congruency)

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The simplified form of the product of given mixed fraction that is  (−2 8/11)⋅(−3 1/3) will be 100/11

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE need to solve the given mixed fraction \(-2\dfrac{8}{11} \times -3\dfrac{1}{3}\)

First we need to convert the mixed fraction into simple fraction;

\(-2\dfrac{8}{11} \times -3\dfrac{1}{3}\)

\(-2\dfrac{8}{11} = \dfrac{- 30}{11} \\\\\\-3\dfrac{1}{3} = \dfrac{-10}{3}\)

Now multiply the given fraction;

\(\dfrac{- 30}{11} \times \dfrac{-10}{3}\)

100/ 11

Hence, the simplified form of the product of given mixed fraction that is  (−2 8/11)⋅(−3 1/3) will be 100/11

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The volume of the prism which is filled with 135 cubes is 5 cubic feet.

What is the Volume of Cube ?

The volume of a cube defines the number of cubic units, occupied by the cube completely. The unit of volume of the cube is in cubic units such as cu. centimeters, cu. meters, cu. inches, cu. feet, etc.

Here Prism is filled with 135 cubes.

Volume of prism = volume of 135 cubes

                            = 135 X side X side X side

                            = 135 X 1/3 X 1/3 X 1/3

                            = 135 / 27

Volume of prism = 5 cu. feet

Thus, The volume of the prism which is filled with 135 cubes is 5 cubic feet.

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In the linear programming problem, there is only one optimal solution that would best fit the empty space above (Option A)

To determine the best-fit option, we need to analyze the given linear programming problem.

Max Z = 6x₁ + 16x₂

Subject to:

3x₁ + 8x₂ ≤ 20

7x₁ + 15x₂ ≤ 45

3x₁ + 5x₂ ≤ 20

x₂ ≥ 10

x₁, x₂ ≥ 0

To determine the nature of the problem, we need to consider the feasibility and boundedness.

All constraints are linear inequalities, and the problem does not have any equality constraints. Additionally, the constraints do not contradict each other. Therefore, the problem is feasible.

The objective function coefficients for x₁ and x₂ are positive. The feasible region is bounded by the given constraints, and the feasible region is not infinite. Therefore, the problem is bounded

Based on the analysis, the correct option that best fits the empty space above is:

Only one optimal solution

Since the problem is both feasible and bounded, there exists a unique optimal solution that maximizes the objective function Z.

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The possible values of the solutions to the inequality 5x + 5 ≥ −9 are: I, II, and III.

To find the possible values of the solution to a given inequality, solve the inequality given using the properties of equality to isolate the variable.

Given the inequality:

5x + 5 ≥ −9

Subtract 5 from both sides:

5x + 5 - 5 ≥ −9 - 5 [subtraction property of inequality]

5x ≥ -14

Divide both sides by 5

5x/5 ≥ -14/5

x ≥ -2.8

This means that all the possible values of x are greater than or equal to -2.8.

1, 4, and 6 are greater than -2.8, therefore, the values of the solutions are: I, II, and III.

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Answer:

y=7.5x, y=60

Step-by-step explanation:

you have to consider x as the input and y as output

when input  x=2 the output  y=15  so it grew by 7.5 so we can say that y= 2*7.5

in general the equation is y= 7.5*x

when x=8 we will have y=7.5*8=60

Answer:

hifgreeg33ctvtvunu

Step-by-step explanation:

highhb tug 5h6g6g5g5g

Step-by-step explanation:

To find the constant of proportionality, we can set up a ratio between the number of T-shirts and their respective prices.

Let's denote the number of T-shirts as 'n' and the price as 'p'.

Given that the store offers $180 for 6 T-shirts and $270 for 9 T-shirts, we can set up the following ratios:

180/6 = p/n

270/9 = p/n

We can simplify these ratios by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 180 and 6 is 6, and the GCD of 270 and 9 is also 9. Simplifying the ratios, we get:

30 = p/n

30 = p/n

Since the ratios are equal, we can write the equation of proportionality as:

p/n = 30

The constant of proportionality is 30.

To find the price of 15 T-shirts, we can use the equation of proportionality:

p/n = 30

Substituting the values, we get:

p/15 = 30

Solving for 'p', we find:

p = 30 * 15 = 450

Therefore, the price of 15 T-shirts will be $450.

If the price of a T-shirt changed to $43, we can use the equation of proportionality to find the price of 7 T-shirts:

p/n = 30

Substituting the values, we get:

43/n = 30

Solving for 'n', we find:

n = 43 / 30 * 7 = 10.77 (rounded to two decimal places)

Therefore, the price of 7 T-shirts, when each T-shirt costs $43, will be approximately $10.77.