Lily cleans 3 houses in 7.5 hours. If she works 8-hour days for 7 days (with no breaks), how many houses could she clean?

Answer:

Step-by-step explanation

Frist, the area = ab = 30 m^2 and the perimeter = 2(a + b) = 34 m or a + b = 17 m (2). Solving (1) and (2), a = 15 m and b = 2 m. Since it is a rectangle, the dimensions are (all in m) so the answer is: 15, 2, 15, 2.

Answer:

THe kitchen is 8 by 10

Step-by-step explanation:

x = width

y = length

Area = xy = 80 m²

Perimeter = 2x + 2y = 36 m

2x = 36 - 2y

x = 18 - y   substitute into equation 1

(18 - y)(y) = 80

-y² + 18y - 80 = 0    find roots of y by factoring

y² - 18y + 80 = 0

(y - 8)(y - 10) = 0

y = 8, 10

Since xy = 80, then:

x = 80/10 = 8, or, x = 80/8 = 10

Now you have your dimensions: 8 and 10

To check the answers:

8 x 10 = 80 m²

2(8) + 2 (10) = 36 m

Answers are correct!

Hi there! :)

\(\large\boxed{d = \sqrt{73}}\)

Use the distance formula to solve for the distance between P and Q:

\(d = \sqrt {\left( {x_2 - x_1 } \right)^2 + \left( {y_2 - y_1 } \right)^2 }\)

The coordinates of point P are (-3, 2) and the coordinates of point Q are (5, -1). Plug these values into the equation above:

\(d = \sqrt {\left( {5- (-3) } \right)^2 + \left( {-1 - 2 } \right)^2 }\)

Simplify:

\(d = \sqrt {\left( 8 } \right)^2 + \left( {-4} \right)^2 }\)

\(d = \sqrt {64 + 9 }\)

\(d = \sqrt{73}\)

The incidence of skin cancer over the two years in the high exposure group is 24.39%.

To calculate the incidence of skin cancer over the two years in the high exposure group, follow these steps:
1. Determine the number of workers in the high exposure group: 800 workers
2. Subtract the initial skin cancer cases in the high exposure group from the total number of workers in the group to find out the workers without skin cancer:

800 - 185 = 615 workers
3. Calculate the number of new skin cancer cases in the high exposure group by subtracting the new cases in the low-exposure group from the total new cases:

175 - 25 = 150 cases
4. Calculate the incidence rate by dividing the new cases in the high exposure group by the number of workers without skin cancer in the high exposure group:

150 / 615 ≈ 0.2439
5. Multiply the incidence rate by 100 to express it as a percentage:

0.2439 * 100 = 24.39%.

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Answer:

I am so sorry I'm doing this for the 'Help other's' task

Answer:

\(Cost \ total= \$ 1755\)

Step-by-step explanation:

Find the total cost of a rectangular shaped carpet, given the carpets length,  width, and the cost of carpet per square foot. Using the formula for the area of a rectangle.

\(\boxed{\left\begin{array}{ccc}\text{\underline{Area of a Rectangle:}}\\\\A=l \times w\end{array}\right}\)

Where...

Given:

\(l=15 \ ft\\w=9 \ ft\\ 1 \ ft^2= \$ 13\)

Find:

\(Cost \ total = \ ?? \\)

(1) - Calculating the total area of the carpet, which is a rectangle

\(A=l \times w\\\\\Longrightarrow A=15 \ ft \times 9 \ ft\\\\\therefore \boxed{A=135 \ ft^2}\)

(2) Calculate the total cost of the carpet by multiplying the total area of the carpet by the cost of one square foot of carpet

\(Cost \ total=135 \ ft^2 \times \$ 13\\\\\therefore \boxed{\boxed{Cost \ total= \$ 1755}}\)

Thus, the total cost of the carpet is found.

The exact value for the tangent of 240° is -0.422618261740699.  The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle.

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle. In order to calculate the tangent of 240°, first, find the ratio of the length of the opposite side to the length of the adjacent side. Then, use a calculator to convert the ratio into a decimal. To do this, simply divide the length of the opposite side by the length of the adjacent side. The decimal that is produced is the exact value for the tangent of 240°. In this case, the value is -0.422618261740699.

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Answer:

(2+3i)(1-2i)  = (8-i)

Step-by-step explanation:

The given complex number is :

Z = (2+3i)(1-2i)

We need to find the product of the complex number

\(Z=2(1)+2(-2i)+3i(1)-6i^2\\\\=2-4i+3i-6i^2\)

We know that, \(i^2=-1\)

\(Z=2-i-6(-1)\\\\=2-i+6\\\\=8-i\)

Hence, the product of the complex number is (8-i).

The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.

Z-score: Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean. Standard deviation is essentially a reflection of the amount of variability within a given data set.

given that a synthetic fiber used in manufacturing carpet has a tensile strength that is normally distributed with a mean 75.5 psi and standard deviation 3.5 psi

z = (raw score - mean) / (sample standard deviation - standard deviation)

n = 6; mean=75.5 psi; standard deviation=3.5 psi.

For (greater than) > 75.75,

z = (75.75 - 75.5) / (3.5 ÷√6) = 0.17

P(z > 0.17) = 1 - P(z < 0.17) = 1 - 0.5675 = 43.25%

The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.

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Answer:

Step-by-step explanation:

The difference between the hourly wages of Aliya and Eric, in dollars is

3.

The amount recieved per hour time for work is called as an houlry wage.

Now, it is given that,

Amount Aliya gets = $45

Time of tutoring = 3 hours

Hence, hourly wage of Aliya = 45/3

⇒hourly wage of Aliya = $15

Similarly, given for Eric,

Amount Eric gets = $60

Time of tutoring = 5 hours

Hence, hourly wage of Eric = 60/5

⇒hourly wage of Eric = $12

So, the difference between the hourly wages of Aliya and Eric

                               = hourly wage of Aliya - hourly wage of Eric

                               = $15 - $12

                               = $3  

Hence, The difference between the hourly wages of Aliya and Eric, in dollars is 3.      

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Answer:

your answer is the option a

Answer:

0 is the whole number

Step-by-step explanation:

negative numbers are negative so they can't be counted as whole numbers which means -5 isn't an option.

Whole numbers can't be stated in fraction form so 2/3 is not applicable here.

32.8 is also not the answer as decimals are part of a whole number, not actual whole numbers.

so, 0, is the only right answer here

A local area network (LAN) connects two or more devices in a limited geographical area.

A local area network (LAN) is a type of network that links computers and other devices within a certain geographic region, such as a house, a school computer lab, an office building, or a cluster of nearby structures.

The nodes, or individual computers or devices that make up a network, frequently share resources like printers, big hard drives, and software. Cables are frequently used to connect the nodes. A LAN without physical wires is known as a wireless LAN (WLAN). A cable LAN and a WLAN frequently communicate in order for a WLAN to access its resources.

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The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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Answer:

D

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ BCD is an exterior angle of the triangle , then

∠ BCD = 35° + 67° = 102°

Answer:

Step-by-step explanation:

f(2x) means that we have to substitute x with 2x

So, the answer is

2x + 3

The equation showing the relationship between the number of free balls and the number of bats purchased is b = 6f.

Given:

Kellen loves baseball he saw the ad below:

Bats purchased          free baseballs

2                                      12

3                                      18

12                                    72

Number of balls received free is f and the number of bats purchased is b.

2*b = 12f

divide by 2 on both sides

2b/2 = 12f/2

b = 12f/2

b = 6f

Therefore The equation showing the relationship between the number of free balls and the number of bats purchased is b = 6f.

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we can conclude that the series Σn=1∞ (-1)^(n-1) * (3n+7)/(n²+7) is absolutely convergent and not conditionally convergent.

Given series: Σn=1∞ (-1)^(n-1) * (3n+7)/(n²+7)

To determine whether or not the series is absolutely convergent, we need to calculate the absolute sum of the series.So,

|aₙ|= |(-1)^(n-1) * (3n+7)/(n²+7)|

= (3n+7)/(n²+7)

Now, we need to check if the series ∑|aₙ| converges or not. Let's calculate the limit of the sum of absolute values of terms of the series. When n approaches infinity, we can get the limiting sum as:

limn → ∞ [(3n+7)/(n²+7)]

= 0

Hence, the sum of absolute values of terms of the series is zero. Since the sum of absolute values of terms of the series is less than infinity and it converges, it can be concluded that the series is absolutely convergent. Now, we need to determine whether or not the series is conditionally convergent.To check this, we need to examine if the original series is convergent or not. In this case, since the series is absolutely convergent, it is also convergent.

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Answer:

C) The change in expected quiz score for every additional one hour students spend on their homework

Step-by-step explanation:

Yes, it is widely known that 100-200 high-frequency words account for about 50% of the words used in school texts. This highlights the importance of explicitly teaching these words to students in order to improve their reading fluency and comprehension.

Among these high-frequency words, almost 25% are permanently irregular, meaning that they do not follow standard spelling and pronunciation rules. This makes it even more important for students to learn these words through direct and systematic instruction, as they can greatly impact their reading and writing abilities. By focusing on these high-frequency words, educators can help students build a strong foundation of vocabulary knowledge, which can lead to improved reading outcomes and success in school.

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Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The probability that the random sample of 100 adults will have a sample proportion of less than 0.25, using the normal distribution, is of:

0.8944 = 89.44%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The proportion and the sample size are given as follows:

p = 0.2, n = 100.

Hence the mean and the standard error are given by:

The probability that the proportion is less than 0.25 is the p-value of Z when X = 0.25, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.25 - 0.2}{0.04}\)

Z = 1.25

Z = 1.25 has a p-value of 0.8944.

The population proportion is of p = 0.2.

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Answer:

Angle A = 100°

Angle B = 80°

Step-by-step explanation:

Supplementary angles means angles add up to 180°.

There are only two angles given here.

Angle A and Angle B add up to 180°.

A + B = 180°

4x + (2x + 30) = 180°

4x + 2x + 30 = 180°

6x + 30 = 180°

6x = 180 - 30

6x = 150°

x = 150 ÷ 6

x = 25°

Now substitute the x value to the angles.

Angle A:

4x

4(25) = 100°

Angle B:

2x + 30

2(25) + 30

50 + 30 = 80°

Angles which adds up to 180°.

A = 4x

B = 2x + 30

The measurements of A and B.

A + B = 180°

or, 4x + 2x + 30 = 180°

or, 6x + 30 = 180°

or, 6x = 180 - 30

or, x = 150/6 = 25°

A = 4x = 4(25) = 100°

B = 2x + 30 = 2(25) + 30 = 80°

Answer:

C) 1/3^32

Step-by-step explanation:

2 * -4 = -8

-8 * 4 = -32

1/3^32

Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!! :D

-Lil G

To find a nonzero vector in Nul A, we need to solve the equation Ax = 0. Using row operations, we can reduce the matrix to:
A = [ 4 8 ]
   { 0  0 ]
   [ 0  0 ]
Thus, a nonzero vector in Nul A can be any nonzero vector in R^2 that is orthogonal to [4, 8]^T. For example, [1, -0.5]^T is such a vector.

To find a nonzero vector in Col A, we simply need to pick any column of A and multiply it by a nonzero scalar. For example, [4, -2, 8]^T is a nonzero vector in Col A.
To find a nonzero vector in Row A, we need to pick any row of A and multiply it by a nonzero scalar. For example, [4, 8] is a nonzero vector in Row A.
For the matrix A:
[ 4  8 ]
[-2 -4]
[-6 -12]
[ 8 16]
Let's find a nonzero vector in Nul A, Col A, and Row A.
1. Nul A (null space of A) is the set of all vectors x such that Ax = 0. To find a nonzero vector in Nul A, let's observe that each row is a multiple of the first row. Therefore, a vector of the form x = [k, -2k] will satisfy Ax = 0. For k ≠ 0, x will be nonzero. For example, when k = 1, x = [1, -2] is a nonzero vector in Nul A.
2. Col A (column space of A) is the set of all linear combinations of the columns of A. The first column is [4, -2, -6, 8]. Any nonzero scalar multiple of this column will be a nonzero vector in Col A. For example, a nonzero column vector in Col A can be [4, -2, -6, 8].
3. Row A (row space of A) is the set of all linear combinations of the rows of A. The first row is [4, 8], and any nonzero scalar multiple of this row will be a nonzero vector in Row A. For example, a nonzero row vector in Row A can be [4, 8].

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The local maximum of f(x,y) = 6xy - 4x - 9y - 4x^2 - 4y^2 is 151/7 at the critical point (-43/14, -24/7).

To find the local maximum of f(x,y) = 6xy - 4x - 9y - 4x² - 4y², we need to find the critical points and check their values.

Taking the partial derivative of f with respect to x and y, we get:

fₓ = 6y - 8x - 4

\(f_y\) = 6x - 9 - 8y

Setting both partial derivatives equal to zero, we get:

6y - 8x - 4 = 0

6x - 9 - 8y = 0

Solving for x and y, we get:

x = -43/14

y = -24/7

Therefore, the critical point is (-43/14, -24/7).

To check if this is a local maximum, we need to use the second partial derivative test.

Taking the second partial derivatives of f with respect to x and y, we get:

\(f_{yx}=6\)

\(f_{yy}=-8\)

Evaluating these second partial derivatives at the critical point (-43/14, -24/7), we get:

\(f_{xx} (\frac{-43}{14} ,\frac{-24}{7} )= -8\)

\(f_{xy}(\frac{-43}{14} ,\frac{-24}{7}) =6\)

\(f_{yx}(\frac{-43}{14} ,\frac{-24}{7} )=6\)

\(f_{yy}(\frac{-43}{14} ,\frac{-24}{7} )=-8\)

The discriminant of the second partial derivative test is:

D = \(f_{xx}(\frac{-43}{14} ,\frac{-24}{7}) \times f_{yy}(\frac{-43}{14} ,\frac{-24}{7} ) - f_{xy}(\frac{-43}{14} ,\frac{-24}{7} )^2\)

D = (-8) × (-8) - (6)²

D = 64 - 36

D = 28

Since D is positive and fₓₓ is negative at the critical point, we can conclude that the critical point (-43/14, -24/7) is a local maximum.

f(x,y) = 6xy - 4x - 9y - 4x² - 4y²

\(f(\frac{-43}{14} ,\frac{-24}{7} ) = 6(\frac{-43}{14})(\frac{-24}{7})- 4(\frac{-43}{14})- 9(\frac{-24}{7}) - 4(\frac{-43}{14})^2 - 4(\frac{-24}{7})\)

= 151/7

Therefore, the local maximum of f(x,y) = 6xy - 4x - 9y - 4x² - 4y² is 151/7 at the critical point (-43/14, -24/7).

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As per the given ratio, the amount of paint is 8 ounces needed is and the amount of sugar it will hold 120 ounces.

In math then term ratio is defined as an ordered pair of numbers a and b, written a / b where b does not equal 0

Here we have given that it takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box which holds 15 cups of sugar.

And then here we have know that they double the dimensions of the box.

Let us consider that the dimension be a.

And as we all know that double the dimensions of the box then dimensions are 2a

Then the ratio of paint and the area of the box remains constant and it can be calculated as,

=> paint / area = 2/x

=> 2/x = 6a² / 6(2a)²

When we simplify this one then we get then x is 8 ounces.

Here we know that the ratio of sugar and the volume of the box remains constant.

Then the sugar volume is calculated as,

=> 15 / X = a³ / (2a)³

When we simplify this then we get the value of x is 120

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Answer:

1.5m/s^2

Step-by-step explanation:

acc= change in velocity/time

acc=5.5-1/3

acc=4.5/3

acc=1.5

Answer: yes

Step-by-step explanation:

Answer:

Hey there!

Sorry, but you are incorrect.

p(x)=7x+25

f(x)=2x^2+3

f(1)=2(1)^2+3, or 5.

p(5)=7(5)+25=60

Let me know if this helps :)