Help me with my math hw about angles

Using a system of equations, it is found that the meter contains 20 dimes and 10 quarters.

For the system, the variables are:

A dime is worth $0.1 and a quarter is worth $0.25. In total, the parking meter is filled with $4.50, hence:

\(0.1x + 0.25y = 4.5\)

There are twice as many dimes as quarters, hence:

\(x = 2y\)

Then:

\(0.1x + 0.25y = 4.5\)

\(0.1(2y) + 0.25y = 4.5\)

\(0.2y + 0.25y = 4.5\)

\(0.45y = 4.5\)

\(y = \frac{4.5}{0.45}\)

\(y = 10\)

\(x = 2y = 2(10) = 20\)

There are 20 dimes and 10 quarters in the parking meter.

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We can find the orthogonal vector when we use the dot product.

Then, the result must be equal to zero.

The vector u is given by coordinates <-7,-4>

Then, we need to find a vector in which their dor product will be equal to zero:

<-7,-4>*<1/7,-1/4> =-7*1/7 +(-4)*-1/4 = -1+1 =0

Therefore, the orthogonal vector is <1/7,-1/4>

The correct answer is option B

Answer:

Step-by-step explanation:

1.c

2.c

3.a

4.d

5.d

6.c

7. they are equal

8 A.a

8 B.d

9 A. c

9 B. b

10 A.c

10 B. b

11.b

12.d

13.b

14.b

15. a

16.d

17.c

18. 26.56 degrees

There was no control group for comparison answers.

There was no control group to compare the results to change in blood flow could have been caused by something else .

The movement of blood through the vessels from arteries to capillaries and then into veins is referred to as blood flow.

There are two blood circulatory systems in the human body, which are linked: The systemic circulation transports blood to organs, tissues, and cells, supplying them with oxygen and other vital substances. The pulmonary circulation is where fresh oxygen enters the bloodstream.

As the heart beats, blood is pumped through a network of blood vessels known as the circulatory system. The vessels are flexible tubes that transport blood to all parts of the body.

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Step 1:

The formula for the area of a hexagon can also be given in terms of the apothem as,

Area of hexagon

where 'a' is the length of the apothem and 'P' is the perimeter of the hexagon.

Step 2:

Length of the sides = 15 cm

Step 3:

Find the Apothem ' a '

Find each angle

Next

Answer: Girls weekly: 25; Girls never:40; boys yearly: 25; boys never: 20; boys total:80 monthly total: 30

Step-by-step explanation:

You have to figure it out by adding or subtracting where ever it needs to be like in girls weekly you have to subtract the weekly total and the boys weekly to figure it out.

The side of the larger square is represented by x and the side of the smaller square is represented by y. We are given that the shaded region is 2/27 of the area of the larger square and 3/8 of the area of the smaller square. The side of the larger square is 3/2 times larger than the side of the smaller square.

Let's assume the side of the larger square is represented by x and the side of the smaller square is represented by y. We are given that the shaded region is 2/27 of the area of the larger square and 3/8 of the area of the smaller square.

To find the ratio between the sides of the two squares, we can set up the following equation:

(2/27) * x^2 = (3/8) * y^2

We can simplify this equation by multiplying both sides by the reciprocal of (3/8):

(2/27) * x^2 * (8/3) = y^2

Simplifying further, we have:

(16/81) * x^2 = y^2

Taking the square root of both sides, we get:

(4/9) * x = y

Now, we can see that the side of the larger square (x) is (4/9) times larger than the side of the smaller square (y). In other words, the side of the larger square is 3/2 times larger than the side of the smaller square.

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Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

Answer:

162 and 9

Step-by-step explanation:

The distance he ran for is from - 81 to 0 and to 81

81 +81 = 162 units

Time spent =distance/speed

Time = 162/ 18 = 9mins

The needed sample size Smaller if the margin of error .

Given,

In the question:

This question in the form of: Fill in the blanks.

So, You want to estimate the proportion of students at your university in favor of a longer spring break. changing the confidence level from 95% to 90% will decrease the needed sample size_____ if the margin of error.

Hence, The answer is smaller the margin of error.

Let's Know:

What is Confidence level?

The confidence level is the percentage of times you expect to get close to the same estimate if you run your experiment again or resample the population in the same way. The confidence interval consists of the upper and lower bounds of the estimate you expect to find at a given level of confidence.

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The x-coordinate of the center of mass of the lamina is 5/3.

To find the x-coordinate of the center of mass of the lamina, we need to calculate the double integral of the density function p(x, y) multiplied by the x-coordinate (x) over the triangular region D, and then divide it by the total mass of the lamina.

The density function is given as p(x, y) = x + y, and the region D is the triangular region with vertices (0, 0), (2, 1), and (0, 3).

To set up the integral, we need to determine the limits of integration for x and y.

Since D is a triangular region, we can express it as:

0 ≤ x ≤ 2,

0 ≤ y ≤ (3 - x/2).

Now we can set up the double integral:

∬D (x × p(x, y)) dA

= ∫₀² ∫₀ (3-x/2) (x × (x + y)) dy dx

Solving this integral will give us the x-coordinate of the center of mass.

Evaluating the inner integral first:

∫₀ (3-x/2) (x × (x + y)) dy = [xy + 1/2y²]₀ (3-x/2)

Substituting the limits:

= (x × (x + (3 - x/2))) - (x × (x + 0))

= (x × (3 - x/2))

Now we can evaluate the outer integral:

∫₀² (x × (3 - x/2)) dx = [3x - 1/4x²]₀²

= (3(2) - 1/4(2²)) - (3(0) - 1/4(0²))

= 6 - 1/4(4)

= 6 - 1

= 5

Finally, we divide this result by the total mass of the lamina, which is the area of the triangular region:

Area = (1/2) × base × height = (1/2) × 2 × 3 = 3

x-coordinate of the center of mass = (1/Area) × ∫₀² ∫₀ (3-x/2) (x × (x + y)) dy dx = (1/3) × 5 = 5/3

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Given question is incomplete, the complete question is below

Find the x-coordinate of the center of mass of the lamina that occupies the region D and has the given density function p(x, y) = x+y D is triangular region with vertices (0, 0), (2, 1), (0, 3)

The domain of the logarithmic function f(x)=log(x) is all real numbers x>0. The range of the logarithmic function is all real numbers y>-∞.

The domain of a logarithmic function f(x)=log(x) is all real numbers x>0. This is because the logarithm function is not defined for x ≤ 0, as log(x) is undefined for x ≤ 0.

The range of the logarithmic function is all real numbers y>-∞. This is because the logarithm of a real number is always negative and approaches negative infinity as x approaches 0. Therefore, the range of a logarithmic function is all real numbers y>-∞.

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A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. Therefore, option B is the correct answer.

A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. This is because the electron microscope requires a vacuum environment to function properly, which would kill any live specimen. Additionally, electron microscopes can only see surface details and do not have a very high power of resolution. Lastly, electron microscopes can only be used by doctors or trained technicians, so they are not as widely available as light microscopes.

Therefore, option B is the correct answer.

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A disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens (option b). Electron microscopes use a beam of electrons to create an image, which requires a vacuum environment. This means that living organisms cannot survive in the vacuum and therefore cannot be observed with electron microscopes.

I hope this helped! :)

Answer:

\(\right)\left(\dfrac{1}{216} \right)\)

Step-by-step explanation:

Given expression:

\(\left(\dfrac{1}{6} \right)^3\)

Expand following:

\(\left(\dfrac{1}{6} \right)\left(\dfrac{1}{6} \right)\left(\dfrac{1}{6} \right)\)

Distribute inside parenthesis:

\(\right)\left(\dfrac{1}{36} \right)\left(\dfrac{1}{6} \right)\)

Multiply/Simplify following:

\(\right)\left(\dfrac{1}{216} \right)\)

Answer:

\(\frac{1}{216}\)

Step-by-step explanation:

\((\frac{a}{b})^n=\frac{a^n}{b^n} \\\rule{150}{0.5}\\(\frac{1}{6})^3 = \frac{1^3}{6^3}\\\\ \rightarrow 1^3 = 1\\\rightarrow 6^3 = 216\\\text{Therefore:}\\\\\boxed{(\frac{1}{6})^3 = \frac{1}{216}}\)

Hope this helps.

Answer:

237.5 in.² or the first option

Step-by-step explanation:

Base 1:  5 · 6.5 = 32.5

Base 2: 5 · 7.5 = 37.5

Base 3: 7.5 · 6.5 = 48.75

Multiply by 2 because 2 of each base.

2(32.5 + 37.5 + 48.75)

2(118.75)

237.5 in.²

The linear constraints with continuous and integer variables for the following is 100y + x2 ≤ 200.

The linear constraints for the problem are:
x ≥ 100 → y ≤ 100
x ≥ 0
y ≥ 0

y * 100 ≥ x1
(1 - y) * 100 ≥ x1
100y + x2 ≤ 200.

Let x be the investment amount on project 1 (continuous variable) and y be the investment amount on project 2 (continuous variable).

To write the linear constraints for the problem:

1. If we invest $100 or more on project 1, then we can only invest at most $100 on project 2:
This can be written as:
x ≥ 100 → y ≤ 100

If x is greater than or equal to 100, then y must be less than or equal to 100. This ensures that we don't invest more than $100 on project 2 if we invest $100 or more on project 1.

2. Investment amount cannot be negative:
This can be written as:
x ≥ 0
y ≥ 0

The investment amount on each project cannot be negative, so x and y must be greater than or equal to 0.

Therefore, the linear constraints for the problem are:
x ≥ 100 → y ≤ 100
x ≥ 0
y ≥ 0

First, let's define the variables:

Let x1 be the investment amount on project 1 (continuous variable)
Let x2 be the investment amount on project 2 (continuous variable)

Now, let's write the linear constraints based on the given condition:

If we invest $100 or more on project 1 (x1 ≥ 100), then we can only invest at most $100 on project 2 (x2 ≤ 100). To model this condition, we can use an integer variable:

Let y be an integer variable, with y ∈ {0, 1}

Now, we can write the linear constraints:

1. If y = 0, then x1 < 100 and there is no constraint on x2.
  y * 100 ≥ x1 (This ensures that if y = 0, x1 < 100)

2. If y = 1, then x1 ≥ 100 and x2 ≤ 100.
  (1 - y) * 100 ≥ x1 (This ensures that if y = 1, x1 ≥ 100)
  100y + x2 ≤ 200 (This ensures that if y = 1, x2 ≤ 100)

So the linear constraints are:
y * 100 ≥ x1
(1 - y) * 100 ≥ x1
100y + x2 ≤ 200

These constraints model the given condition, allowing you to analyze investments in both projects with continuous and integer variables.

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Answer:

5

Step-by-step explanation:

Have a phd in mathematics! Congrats on your first question!!!! Send me a brainlist :)

Answer:

f(x) = 4x - 1

Step-by-step explanation:

The answer to this question is f(x) = 4x - 1 because function notation displays the values of how the input of x yields the output of y. This means that in this form, y is changed to the x input where the substitution of the x in the equation yields the new y.

The percentage change from 6 to 27 is approximately 350.00%.

To calculate the percentage change, we can use the following formula:

Percentage Change = ((New Value - Old Value) / Old Value) * 100

Given:

Old Value (X) = 6

New Value = 27

Using the formula, we have:

Percentage Change = ((27 - 6) / 6) * 100

Calculating this expression, we find:

Percentage Change ≈ 350.00

Rounding the percentage change to two decimal places, we have:

Percentage Change ≈ 350.00%

Therefore, the percentage change from 6 to 27 is approximately 350.00%.

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The percentage change from 6 to 27 is approximately 350.00%.

To calculate the percentage change, we can use the following formula:

Percentage Change = ((New Value - Old Value) / Old Value) * 100

We have:

Old Value (X) = 6

New Value = 27

Using the formula, we have:

Percentage Change = ((27 - 6) / 6) * 100

Calculating this expression, we find:

Percentage Change ≈ 350.00

Rounding the percentage change to two decimal places, we have:

Percentage Change ≈ 350.00%

Therefore, the percentage change from 6 to 27 is approximately 350.00%.

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Answer:

is there a picture you can add to it

Answer:

B is the answer

Step-by-step explanation:

The Solution:

Given:

The perimeter of the square piece of land is 24 ft.

We are required to find the area of the given piece of land.

Step 1:

By formula,

So,

Step 2:

Find the area of the piece of land.

Therefore, the correct answer is 36 square feet.

Answer:

Step-by-step explanation:

complex numbers , real numbers , rational numbers , natural numbers , whole numbers

20% off 399 is 319.20

15% off 319.20 is 271.32 dollars

Step-by-step explanation:

Answer:

The final price will be $271.58

Step-by-step explanation:

20% off of $399 would be $319.50 then 15% off of $319.50 would be $271.58.

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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I think you're missing a bit of the question. If her savings can be modeled by x...?

Answer:

Step-by-step explanation:

x+y=50 Because x and y represent the number of coins

25x+10y=980 Because there are x quarters and y dimes

-10x-10y=-500 Multiply the first equation by -10 to cancel out y (using the

addition method: equation 1 + equation 2)

15x=480 Solve for x

x=32

(32)+y=50 Substitute x

-32       -32

y=18 Solve

Answer:  The correct answers are dimes = 18 and quarters = 32

Step-by-step explanation:

q = quarters

d = dimes

What we know:

What we need to find out:

Using a system of equations, we can solve this:

q + d = 50  (the total number of coins = 50)

25q + 10d = 9.80  (the number of each time their value totals $9.80)

Multiply the first equation by 25:

(25)*q + (25)*d = (25)*50

25q + 25d = 1250

Subtract the first equation from this equation to solve for quarters:

25q-25q + 25d-10d = 1250 - 980

15d = 270

15d/15 = 270/15

d = 18   (18 dimes)

Now plug-in the dimes into the original equation to find quarters:

q + d = 50

q + 18 = 50

q = 50 - 18

q = 32    (32 quarters)

Check our math:

(18 * .10) + (32 * .25) = 9.80

1.80 + 8.00 = 9.80

9.80 = 9.80  (correct!)

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Answer: y=0.5x+0.5

Step-by-step explanation:

\(\displaystyle\\(1,1)\ \ \ \ (-3,-1)\\\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }\\\\x_1=1\ \ \ \ x_2=-3\ \ \ \ y_1=1\ \ \ \ y_2=-1\\\\\frac{x-1}{-3-1}=\frac{y-1}{-1-1} \\\\\frac{x-1}{-4}=\frac{y-1}{-2} \\\)

Multiply both parts of the equation by -2:

\(\displaystyle\\\frac{x-1}{2} =y-1\\\\\frac{x}{2}-\frac{1}{2} =y-1\\\\\frac{x}{2}-\frac{1}{2}+1 =y-1+1\\\\\frac{x}{2}+\frac{1}{2} =y \\\)

Thus,

y=0.5x+0.5

Answer:

2.1

Step-by-step explanation:

Find the number in the tenth place 1 and look one place to the right for the rounding digit 4. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

By averaging the two middle numbers, we can determine that the median is $75 million.

Based on the information provided, we know that there are six Marvel movies and we need to put their domestic gross income in order from smallest to largest. However, we're also given a specific piece of information about the median, which is that it's a certain amount of million dollars and that about 25% of the movies made more than this amount.

To start, let's define what the median is.

The median is a measure of central tendency that represents the middle value in a set of data. In this case, we have six Marvel movies, so the median would be the third value when the movies are arranged in order from smallest to largest. If we arrange the movies by their domestic gross income, we can determine the median and use that information to put them in order.

So, let's say the six Marvel movies are:

Movie A: $50 million
Movie B: $60 million
Movie C: $70 million
Movie D: $80 million
Movie E: $90 million
Movie F: $100 million

Using these values, we can determine that the median is $75 million. This means that about 25% of the movies made more than $75 million and the remaining 75% made less than $75 million. To put the movies in order from smallest to largest, we can use this information and arrange them as follows:

Movie A: $50 million
Movie B: $60 million
Movie C: $70 million
Movie D: $80 million
Movie E: $90 million
Movie F: $100 million

So, the movies are now arranged in order from smallest to largest based on their domestic gross income. This information can be useful for analyzing trends and making predictions about future movie releases.

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Answer:

536

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