Jane moved from a house with 78 square feet of closet space to an apartment with 47.58 square feet of closet space. what is the percentage decrease of jane's closet space?

From 1976 until 1987, red M&Ms were removed from packets owing to a research associating the food dye used to color them to cancer.

Arithmetic is defined as working with numbers through addition, subtraction, multiplication, and division. Adding two and two to produce four is an example of arithmetic. Arithmetic is a fundamental branch of mathematics that studies the characteristics of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction. Arithmetic (derived from the Greek word arithmos, "number") relates to the fundamental components of number theory, arts of mensuration (measuring), and numerical computing (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

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The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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This statement is true, as the test statistic represents the number of standard deviations between the observed sample proportion and the claimed value (po) under the null hypothesis.

- The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. This statement is false. A large test statistic implies that the observed data is surprising when the null hypothesis is true, which means there is evidence against the null hypothesis.
- The researcher should fail to reject the null hypothesis. This statement is false. A large test statistic suggests evidence against the null hypothesis, so the researcher should reject the null hypothesis in favor of the alternative hypothesis.

- When the null hypothesis is true, the test statistic comes from a standard normal distribution. This statement is true, as the test statistic follows a standard normal distribution when the null hypothesis is true.
- There is a 4.318% chance that the alternative hypothesis is true. This statement is false. The test statistic does not directly provide the probability of the alternative hypothesis being true. Instead, we can use the test statistic to calculate the p-value, which represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true.

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Answer:

2. makes

3. had wanted

4. are deciding, get

5. are going

6. ate

7. will be traveling

8. are

9. asked

10. lose

Answer:

2. Wanted

3. Wants

4. Decides and Get

5. Went

6. Ate

7. Are Traveling

8. Are

9. Asks

10. Lost

Step-by-step explanation: What grade are you in??

Answer:

1 is 75, 2 is 105, 3 is 30

Step-by-step explanation:

70+35=105

all angles add to 180 in triangles, just need to find the last corner to make 180

180-105= 75 angle1

angle 1 + angle 2 = 180; 75 +angle 2 = 180

angle 2 = 105

use angle 2 and other angle given to find the third number to add to 180

105+45= 150

150 + angle 3 = 180

angle 3 is 30

Using the Fundamental Counting Theorem, it is found that 6 different possible outcomes are there.

What is the fundamental principle of counting?

The total number of times an event can occur is m n if there are m possible ways for one event to happen and n various ways for another. A rule used to determine the total number of potential outcomes in a circumstance is known as the fundamental counting principle.

                        It states that there are n m times m n times m methods to do both of these activities if there are n ways to perform one action and m ways to perform another action after that.

For the coin, there are two outcomes, hence . n₁ = 2

For the spinner, there are three outcomes, hence n₂ = 3

Then, the number of outcomes is given by:

N = 2 x 3 = 6.

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Answer:

between quadrant 2 and 3

Step-by-step explanation:

Answer:

9825

Step-by-step explanation:

Answer: 152 in^2

Step-by-step explanation:

We can split the figure into two rectangles. One of dimension 6 in by 20 in, and one of dimension 8 in by 4 in.

Therefore, the area of the figure = (6*20) + (8*4) = 120 + 32 = 152 in^2

Answer:

The quantities that are needed would be;

a variable (y) representing the total cost that needs to be found out

a constant cost for per cupcake made  (This would be 0.17)

a variable (x) representing the number of cupcakes made

any additional cost (This would be $75)

Hope this helps!

Answer:

3.1

Step-by-step explanation:

the area for grass seed = 0.75×68×40½=

2,065.5 ft²

the grass seed will the owner need to plant =

2,066.5/1,000 × 1.5 pounds = 3.1 pounds

The grass seed will the owner need to plant is 3.1 pounds.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We are given that  rectangular backyard has a length of 68 feet and a width of 40 1/2 feet. The owner wants to plant 75% of the yard with grass seed.

The planting rate for the seed = 1.5 pounds per 1,000 square feet of area.

Then the area for grass seed

= 0.75×68×40½

= 2,065.5 ft²

Therefore, the grass seed will the owner need to plant =

2,066.5/1,000 × 1.5 pounds

= 3.1 pounds

The grass seed will the owner need to plant is 3.1 pounds.

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Step-by-step explanation:

Let x be the son's age. The father's age is 3x and 3x - x = 24.

Therefore 2x = 24 and x = 12.

The son's age is 12 and the father's age is 36 at present.

Length of x:

21:  x  =  6.05

22: x  =  6.66

23:  x  =  5.87

24:   x  =  16.24

For 21 :

Since the given triangle inside the circle is right angle triangle

Therefore,

We can apply Pythagorean theorem:

We know that the Pythagoras theorem for a right angled triangle:

(Hypotenuse)²= (Perpendicular)² + (Base)²

And the diameter intersects a chord into two equal parts

There3fore,

Now put value which is given in the figure,

(16)²= (x)² + (14.8)²

  x² = 36.96

   x  =  6.05

For 22 :

Since the given triangle inside the circle is right angle triangle

Therefore,

We can apply Pythagorean theorem:

We know that the Pythagoras theorem for a right angled triangle:

(Hypotenuse)²= (Perpendicular)² + (Base)²

And we know a diameter intersects chord into two equal parts.

Therefore,

Now put value which is given in the figure,

(10.8)²= (x)² + (8.5)²

  x² = 44.39

   x  =  6.66

For 23 :

Since the given triangle inside the circle is right angle triangle

Therefore,

We can apply Pythagorean theorem:

We know that the Pythagoras theorem for a right angled triangle:

(Hypotenuse)²= (Perpendicular)² + (Base)²

Now put value which is given in the figure,

(10.5)²= (x)² + (8.7)²

  x² = 34.56

   x  =  5.87

For 24 :

Since the given triangle inside the circle is right angle triangle

Therefore,

We can apply Pythagorean theorem:

We know that the Pythagoras theorem for a right angled triangle:

(Hypotenuse)²= (Perpendicular)² + (Base)²

Now put value which is given in the figure,

(17.5)²= (x)² + (6.5)²

  x² = 264

   x  =  16.24

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Answer:

66°

Step-by-step explanation:

∠x= ∠EJI= 105°- 39°= 66°

Answer:1.6

Step-by-step explanation:

25/5=5

8/5=1.6

Answer:

Step-by-step explanation:

if 5miles = 25 minutes

then, 8 miles = X

hence X minutes

\(x = \frac{25minutes}{5miles} \times 8miles\)

Answer:

Sense it is supplementary it would equal to 180. So the equation would x+3+84=180

Step-by-step explanation:

x+3+84=180

x+86=180

x=93

Answer: 93

I hope that helped! :)

The zero input response y(t) can be written as: \(y(t) = -2/3e^{-3t} + 2/9te^{-3t} + 5/9 + 8/9e^{-3t}\)

Also ,  the zero input response y(t) is given as:\(y(t) = (8/9 - 2/3)e^{-3t} + 2/9te^{-3t} + 5/9\)

In the given question, we are given the transfer function of the system. The zero input response y(t) can be calculated using the following steps:

Step 1: Find the roots of the denominator of the transfer function. In the denominator, we have:s²+6s+9 = 0Using the quadratic formula, we get: s1 = s2 = -3Therefore, the denominator of the transfer function can be written as:

s²+6s+9 = (s+3)²

Step 2: Find the partial fraction of the transfer function. To find the partial fraction, we need to factorize the numerator of the transfer function.

G(s) = (3s+5):(s+3)²= A:(s+3) + B:(s+3)² + C Where A, B, and C are constants.

Multiplying both sides by (s+3)², we get:3s+5 = A(s+3)(s+3) + B(s+3)² + C On substituting s=-3 in the above equation, we get: C = 5/9On equating the coefficients of the terms with s and the constant term, we get:

A + 2B + 9C = 3A + 3B = 0On substituting C=5/9 in the above equation, we get: A = -2/3 and B = 2/9Therefore, the partial fraction of the transfer function can be written as: G(s) = -2/3:(s+3) + 2/9:(s+3)² + 5/9

Step 3: Find the inverse Laplace transform of the partial fraction of the transfer function. The inverse Laplace transform of the partial fraction of the transfer function can be calculated as: \(y(t) = -2/3e^{-3t} + 2/9te^{-3t} + 5/9\)

On substituting y(0) = 3 and y'(0) = −7, we get:3 = -2/3 + 5/9y'(0) = -2 + 10/9 = -8/9

Therefore, the zero input response y(t) can be written as: \(y(t) = -2/3e^{-3t} + 2/9te^{-3t} + 5/9 + 8/9e^{-3t}\)

Therefore, the zero input response y(t) is given as:\(y(t) = (8/9 - 2/3)e^{-3t} + 2/9te^{-3t} + 5/9\)

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Answer:

-15

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

Its a positive in the first place bc of the two negatives beside each other so the opposite would be -15

Answer:

V = 3a³ + 18a² + 24a

Step-by-step explanation:

The volume (V) is the product of the 3 dimensions, that is

V = 3a(a + 2)(a + 4) ← expand factors using FOIL

= 3a(a² + 6a + 8) ← distribute parenthesis by 3a

= 3a³ + 18a² + 24a

When 5/9 of the tank is filled in 2 minutes, then it will take 3.6 minutes to fill the entire tank.

The definition of a fraction is a fraction multiplied by another fraction, integer, or a group of variables. Given that the 5/9 tank fills in 2 minutes. The duration of this period in seconds is 60×5= 120 seconds.

So the time taken to fill a 1/9 tank is calculated as follows,

Time taken = 120/5

=24 seconds

The time taken to fill the 9/9 tank (full) is calculated by multiplying 24 seconds and 9, we get,

24×9 = 216 seconds

= 3.6 minutes.

Therefore, the required answer is 3.6 minutes.

The complete question is -

If 5/9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank?

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Answer:

the answer is 9.2

Step-by-step explanation:

The radical value √(85) lies between 81 and 100. So, the smallest integer greater than the square root of 85 is 10.

Important information:

The perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

It is clear that,\(81<85<100\)

Taking square root on each side, we get

\(\sqrt{81}<\sqrt{85}<\sqrt{100}\)

\(9<\sqrt{85}<10\)

The value \(\sqrt{85}\) lies between 9 and 10.

Therefore, the smallest integer greater than the radical value square root of 85 is 10.

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Jose can plow 7.5 acres of land in an hour. it will take Jose 12 minutes to plow 1.5 acres of land.

To calculate how long will it take Jose to plow 1.5 acres of land, we can use the following steps:

1: Determine the number of acres Jose can plow per minute. Dividing 7.5 acres by 60 minutes will give us the number of acres Jose can plow in 1 minute:7.5 ÷ 60 = 0.125 acres/minute

2. Determine the number of minutes it will take Jose to plow 1.5 acres of land. To calculate the number of minutes, we can divide the number of acres by the acres Jose can plow in 1 minute: 1.5 ÷ 0.125 = 12 minutes

Therefore, it will take Jose 12 minutes to plow 1.5 acres of land.

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Answer:

You will pay 24 dollars for the shoes after the discount.

After solving the given inequality the answer is x∈(-∞, 2/15].

So,

Then,

Therefore, after solving the given inequality the answer is x∈(-∞, 2/15].

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The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:

\(\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}\)

where |v| is the magnitude of the vector component and theta is the angle of the vector.

Using the magnitude and angle given for vector u we can write its component form :

\(\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}\)

Doing the same for v

\(\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}\)

Now adding both vector together

\(\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})\)

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Answer:

11.25 miles

Step-by-step explanation:

To figure out how many miles John will travel in 1/2 an hour, we can use the following formula:

distance = rate x time

We know the rate, which is the number of miles John can travel per hour. We can find this by dividing the total distance by the total time:

rate = distance / time

rate = 45 miles / 2 hours

rate = 22.5 miles per hour

Now we can use this rate and the given time of 1/2 an hour to find the distance:

distance = rate x time

distance = 22.5 miles per hour x 1/2 hour

distance = 11.25 miles

Therefore, John will travel 11.25 miles in 1/2 an hour at this rate.

Answer: Yes you did!

Step-by-step explanation:

Answer:

2.1

Step-by-step explanation:

Here we will simplify the ratio 30:15 for you and show you how we did it.

To simplify the ratio 30:15, we find the greatest common divisor of 30 and 15, and then we divide 30 and 15 by the greatest common divisor.

The greatest common divisor that you can use to simplify 30:15 is 15. Which means the answer to ratio 30:15 simplified is: 2.1

Answer:

Step-by-step explanation:

look at the screenshot

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Answer:

d = \(\frac{1}{4}\)

Step-by-step explanation:

Given

= 16(d + 1) = - 20 ← distribute parenthesis on left side

- 16d - 16 = - 20 ( add 16 to both sides )

- 16d = - 4 ( divide both sides by - 16 )

d = \(\frac{-4}{-16}\) = \(\frac{1}{4}\)