Find the area of this figure?

Smallest natural number :

Answer:

The smallest natural number is 1.

Answer:The system of equations that could be used to determine the number of math problems Brooklyn solved and the number of

pages she read is x = 2y; 2x + 3y = 70

Step-by-step explanation:System of equation

let

number of math problems Brooklyn solved = x

number of pages she read = y

Time to solve each math = 2 minutes

Time to read each page = 3 minutes

The number of math prolems Brooklyn solved is twice the number of pages she read

x = 2y

2x + 3y = 70

Substitute x = 2y into

2x + 3y = 70

2(2y) + 3y = 70

4y + 3y = 70

7y = 70

divide both sides by 7

y = 70/7

y = 10

Recall,

x = 2y

x = 2(10)

x = 20

Therefore, the the number of math problems Brooklyn solved and the number of

pages she read is 20 and 10 respectively.

Answer:

$10

Step-by-step explanation:

-$15+$25

then you get $10

Answer:Lowering rates makes borrowing money cheaper. This encourages consumer and business spending and investment and can boost asset prices. Lowering rates, however, can also lead to problems such as inflation and liquidity traps, which undermine the effectiveness of low rates.

Step-by-step explanation:

Answer:

1. A sole proprietorship is distinguished by the fact that it has

Answer - only one owner.

2. James would like to create a sole proprietorship operating under the name Super Lawn Care. Which of the following is true?

Answer - James will need to register the business with his local state as the name of his business differs from his own.

3. A recent high school graduate would like to establish an online tutoring service as a sole proprietorship operating under her own name. Having never worked before and having no current income, which of the following hurdles is she likely to face?

Answer - It will be difficult to cover start-up costs since banks will be unlikely to loan her money.

4. What is a subsidy?

Answer - a government payment to a business to generate employment and economic growth

5. Explain whether the Federal Reserve reducing interest rates helps to expand economic growth.  

Answer - Reducing interest rates helps the economy expand because it lowers the cost of borrowing for business to expand, leading to more jobs and economic growth.

Step-by-step explanation: I just took the test and got it right

The output of the following code snippet will be 1, 2, 3, and 4.

The reason is that the while loop runs infinitely until the break statement is executed. The break statement terminates the loop if the value of x is divisible by 5. However, the value of x is incremented at each iteration of the loop before checking the condition. Here is the step-by-step explanation of how this code works:

Step 1: Assign 1 to x.x = 1

Step 2: Start an infinite loop using the while True statement.

Step 3: Check if the value of x is divisible by 5 using the if x % 5 == 0 statement.

Step 4: If the value of x is divisible by 5, terminate the loop using the break statement.

Step 5: Print the value of x to the console using the print(x) statement.

Step 6: Increment the value of x by 1 using the x += 1 statement.

Step 7: Repeat steps 3-6 until the break statement is executed.

Therefore, the output of the code will be: 1 2 3 4.

Learn more about while loop visit:

brainly.com/question/30883208

#SPJ11

A significant deviation from the expected value of 425 grams for the bag filling machine. The manufacturer should investigate and adjust the machine to ensure that it is distributing the correct amount of chocolate chips in each bag.

Based on the information provided, the manufacturer of chocolate chips is interested in determining if there is a deviation from the expected value of 425 grams for the bag filling machine. They have collected a sample of 18 bags and calculated a mean of 416 grams with a standard deviation of 19. Assuming a normal distribution, they would like to determine the p-value of the test statistic with a significance level of 0.01.

To do this, they would conduct a one-sample t-test using the formula:

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the population mean (expected value), s is the sample standard deviation, and n is the sample size.

Plugging in the values, we get:

t = (416 - 425) / (19 / √18) = -2.21

Using a t-distribution table or calculator with 17 degrees of freedom (n-1), we can find the p-value associated with a t-score of -2.21 and a one-tailed test (since we are interested in whether the bags are underfilled). The p-value is approximately 0.0212, which is less than the significance level of 0.01. Therefore, we reject the null hypothesis and conclude that the bags are likely being underfilled by the bag filling machine at the 425-gram setting.

In summary, the p-value of the test statistic is approximately 0.0212, indicating a significant deviation from the expected value of 425 grams for the bag filling machine. The manufacturer should investigate and adjust the machine to ensure that it is distributing the correct amount of chocolate chips in each bag.

Learn more about deviation here:

brainly.com/question/29183849

#SPJ11

A significant deviation from the expected value of 425 grams for the bag filling machine. The manufacturer should investigate and adjust the machine to ensure that it is distributing the correct amount of chocolate chips in each bag.

Based on the information provided, the manufacturer of chocolate chips is interested in determining if there is a deviation from the expected value of 425 grams for the bag filling machine. They have collected a sample of 18 bags and calculated a mean of 416 grams with a standard deviation of 19. Assuming a normal distribution, they would like to determine the p-value of the test statistic with a significance level of 0.01.

To do this, they would conduct a one-sample t-test using the formula:

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the population mean (expected value), s is the sample standard deviation, and n is the sample size.

Plugging in the values, we get:

t = (416 - 425) / (19 / √18) = -2.21

Using a t-distribution table or calculator with 17 degrees of freedom (n-1), we can find the p-value associated with a t-score of -2.21 and a one-tailed test (since we are interested in whether the bags are underfilled). The p-value is approximately 0.0212, which is less than the significance level of 0.01. Therefore, we reject the null hypothesis and conclude that the bags are likely being underfilled by the bag filling machine at the 425-gram setting.

In summary, the p-value of the test statistic is approximately 0.0212, indicating a significant deviation from the expected value of 425 grams for the bag filling machine. The manufacturer should investigate and adjust the machine to ensure that it is distributing the correct amount of chocolate chips in each bag.

Learn more about deviation here:

brainly.com/question/29183849

#SPJ11

Answer:

$ 3078.

Step-by-step explanation:

A square yard is 3 feet by 3 feet =  9 square feet

1800 sq ft / 9 sq ft/ sq yard =200 sq yrds

200 sq yds * $  15.39 / sq yd $ 3078.

Answer:

did you have more

Step-by-step explanation:

Answer: i’ll attach the tables that my quiz had and if they’re the same tables that your quiz has then you can use this answer! but the answer is C. x | y

1 | 2

2 | 6

3 | 18

4 | 54

5 | 162

Step-by-step explanation:

every y-value can be multiplied by 3 to get the next y-value. also this answer is reliable because i got a 100 on my quiz on this! but here are the tables that were on my quiz:

We can say with 95% confidence that the true mean amount that women in the population spend dining out per week lies within the range of $91.74 to $108.26.

Based on the given information, we can calculate a 95% confidence interval for the mean amount that women in the population spend dining out per week. With a sample size of 25 and a standard error of $4, we can use the formula:

95% CI = sample mean +/- (critical value x standard error)

To find the critical value, we need to look up the t-distribution with degrees of freedom (df) = n-1 = 24 and a significance level of alpha = 0.05/2 = 0.025 (since we are interested in a two-tailed test). From a t-table or calculator, we find that the critical t-value is approximately 2.064.

Plugging in the values, we get:

95% CI = $100 +/- (2.064 x $4)
95% CI = $100 +/- $8.26
95% CI = ($91.74, $108.26)

Therefore, we can say with 95% confidence that the true mean amount that women in the population spend dining out per week lies within the range of $91.74 to $108.26. This means that if we were to repeatedly take random samples of 25 women and calculate their mean amount spent dining out, about 95% of the intervals we construct using this method would contain the true population mean.

To learn more about mean, refer here:

https://brainly.com/question/31101410#

#SPJ11

Answer: 24%

Step-by-step explanation:

Answer:  0.24%

Step-by-step explanation: i hope this helps have a blessed day

When conducting a survey about choosing vacation destinations, Megan should consider using anonymity, confidentiality, or assurance of privacy in order to get reluctant respondents to provide honest information. This can include ensuring that respondents are not required to provide their names or contact information, or guaranteeing that their responses will not be shared with anyone else without their permission.

Additionally, Megan could assure respondents that their responses will be kept confidential, and that their participation in the survey will not have any negative consequences for them. By taking these steps, Megan can encourage reluctant respondents to feel more comfortable sharing their honest opinions and preferences.

Megan should establish rapport and ensure anonymity in order to get reluctant respondents to provide honest information. By creating a comfortable environment and ensuring the respondents that their information will be kept confidential, Megan can increase their willingness to participate and share honest opinions.

Learn more about survey here : brainly.com/question/17373064

#SPJ11

7+3#2

Step-by-step explanation:

4(8-4)

16

16-9#7

7+3#2

Answer:

\( - 3 - 3x \: < \: - 20 - 3 \\ - 3x < - 20 - 3 + 3 \\ - 3x < - 20 \\ x > - 20 \div 3\)

The integral to find the volume is ∫[0 to 2] π[(x\(^2\) + 6)\(^2\)] dx.

To find the volume of the solid obtained by rotating the region bounded by the graphs of y = x\(^2\) + 4 and y = 12 - x\(^2\) about the line y = -2 using the disk/washer method, we can set up an integral. The integral will involve integrating with respect to the variable x.

First, let's find the points of intersection between the two curves:

x\(^2\)+ 4 = 12 - x\(^2\)

2x\(^2\)= 8

x\(^2\) = 4

x = ±2

The region is bounded by the curves y = x\(^2\) + 4 and y = 12 - x\(^2\). It is a symmetrical region, so we will consider only the part of the region where x ≥ 0. The range of x will be from 0 to 2.

Now, let's consider an infinitesimally small vertical strip with width dx at a distance x from the y-axis. When we rotate this strip about the line y = -2, it forms a disk or washer with an infinitesimal thickness. The radius of this disk or washer is given by the distance between the y-axis and the curve x\(^2\) + 4 or 12 - x\(^2\), depending on which curve is farther from the y-axis at that particular x-value.

For x ≥ 0, the curve x\(^2\) + 4 is farther from the y-axis, so the radius of the disk or washer will be given by:

radius = (x\(^2\) + 4) - (-2) = x\(^2\) + 6

The differential volume of the disk or washer can be approximated as π(radius)\(^2\) * dx.

To find the total volume, we integrate the differential volume from x = 0 to x = 2:

∫[0 to 2] π[(x\(^2\) + 6)\(^2\)] dx

This integral represents the volume of the solid obtained by rotating the region bounded by the curves y = x\(^2\) + 4 and y = 12 - x\(^2\)about the line y = -2.

Learn more about volume

brainly.com/question/28058531

#SPJ11

Answer:

lol isnt it 5?

Step-by-step explanation:

3 + 8(t) ≤ 45

3 + 8t ≤ 45

8t ≤ 42

8t/8 ≤ 42/8

t ≤ 5.25

∴She can rent the boat for 5 hours or less

Answer:

A:4.5

Step-by-step explanation:

Given the points A(3,4) and B(-1,10), we can find the distance between them using the following function:

then, we have the following:

We translate the independent variables x and y by amounts a and b, respectively, the Laplacian operator remains unchanged. This property is known as translation invariance.

To show that the two-dimensional Laplacian is translation-invariant, we need to demonstrate that if the independent variables undergo a translation to new variables x' and y', the Laplacian operator remains unchanged.

The two-dimensional Laplacian operator is given by:
∇^2 = (∂^2/∂x^2) + (∂^2/∂y^2)

Let's consider a function f(x, y) and its translated counterpart f'(x', y') after a translation in the x and y directions. The translated variables are related to the original variables as follows:

x' = x + a
y' = y + b

where 'a' represents the translation in the x-direction and 'b' represents the translation in the y-direction.

To show the translation invariance, we need to prove that ∇^2[f'(x', y')] = ∇^2[f(x, y)].

Let's compute the Laplacian of the translated function f'(x', y'):

∇^2[f'(x', y')] = (∂^2f'/∂x'^2) + (∂^2f'/∂y'^2)

Using the chain rule, we can express the partial derivatives with respect to the original variables:

∂f'/∂x' = ∂f/∂x
∂f'/∂y' = ∂f/∂y

Substituting these expressions into the Laplacian of the translated function:

∇^2[f'(x', y')] = (∂^2f/∂x^2) + (∂^2f/∂y^2)

This expression is equal to the Laplacian of the original function f(x, y). Therefore, we have shown that the two-dimensional Laplacian is translation-invariant.

In summary, if we translate the independent variables x and y by amounts a and b, respectively, the Laplacian operator remains unchanged. This property is known as translation invariance.

To know more about laplacian operator refer here:

https://brainly.com/question/31826512

#SPJ11

Answer:

the desiner shpuld exept it

Step-by-step explanation:

A breadth-first search (BFS) is a traversal algorithm that visits a starting vertex and then visits every vertex along each path starting from that vertex to the path's end before backtracking.

In a BFS, a queue is typically used to keep track of the vertices that need to be visited. The starting vertex is added to the queue, and then its adjacent vertices are added to the queue. The process continues until all vertices have been visited. This approach ensures that the traversal visits vertices in a breadth-first manner, exploring the vertices closest to the starting vertex first before moving on to the ones further away.

So, A breadth-first search (BFS) is a traversal algorithm that visits a starting vertex, then visits every vertex along each path starting from that vertex to the path's end before backtracking. This approach explores all vertices at the same level before moving on to the next level, ensuring a breadth-first exploration. Therefore, the statement is true.

To know more about algorithm, visit:

https://brainly.com/question/33344655

#SPJ11

Answer: inconsistent reasoning; saving $20 is saving $20

Step-by-step explanation: Tony's reasoning would be deemed as being inconsistent because the discount offered on sale of items isn't based on proportion rather it is based on a specified amount. Tony is basing is judgement on percentage rather the specified discount amount on product. Hence, thinking the offer isn't good when buying more expensive product is erroneous as the offer isnt based on proportion and the same specified amount is saved across all items purchased.

7 is the value of f(2) in the Linear equation

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                        The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

f(x)=-x²+2x-1

f(2) = 2² + 2 * 2 -1

    = 4 + 4 - 1

     = 8 - 1

      = 7

Learn more about Linear equations

brainly.com/question/11897796

#SPJ1

It looks like the boundaries of \(R\) are the lines \(y=\dfrac23x \) and \(y=3x\), as well as the hyperbolas \(xy=\frac23\) and \(xy=3\). Naturally, the domain of integration is the set

\(R = \left\{(x,y) ~:~ \dfrac{2x}3 \le y \le 3x \text{ and } \dfrac23 \le xy \le 3 \right\}\)

By substituting \(x=\frac uv\) and \(y=v\), so \(xy=u\), we have

\(\dfrac23 \le xy \le 3 \implies \dfrac23 \le u \le 3\)

and

\(\dfrac{2x}3 \le y \le 3x \implies \dfrac{2u}{3v} \le v \le \dfrac{3u}v \implies \dfrac{2u}3 \le v^2 \le 3u \implies \sqrt{\dfrac{2u}3} \le v \le \sqrt{3u}\)

so that

\(R = \left\{(u,v) ~:~ \dfrac23 \le u \le 3 \text{ and } \sqrt{\dfrac{2u}3 \le v \le \sqrt{3u}\right\}\)

Compute the Jacobian for this transformation and its determinant.

\(J = \begin{bmatrix}x_u & x_v \\ y_u & y_v\end{bmatrix} = \begin{bmatrix}\dfrac1v & -\dfrac u{v^2} \\\\ 0 & 1 \end{bmatrix} \implies \det(J) = \dfrac1v\)

Then the area element under this change of variables is

\(dA = dx\,dy = \dfrac{du\,dv}v\)

and the integral transforms to

\(\displaystyle \iint_R 9xy \, dA = \int_{2/3}^3 \int_{\sqrt{2u/3}}^{\sqrt{3u}} \frac{dv\,du}v\)

Now compute it.

\(\displaystyle \iint_R 9xy \, dA = \int_{2/3}^3 \ln|v|\bigg|_{v=\sqrt{2u/3}}^{v=\sqrt{3u}} \,du \\\\ ~~~~~~~~ = \int_{2/3}^3 \ln\left(\sqrt{3u}\right) - \ln\left(\sqrt{\frac{2u}3}\right) \, du \\\\ ~~~~~~~~ = \frac12 \int_{2/3}^3 \ln(3u) - \ln\left(\frac{2u}3\right) \, du \\\\ ~~~~~~~~ = \frac12 \int_{2/3}^3 \ln\left(\frac{3u}{\frac{2u}3}\right) \, du \\\\ ~~~~~~~~ = \frac12 \ln\left(\frac92\right) \int_{2/3}^3 du \\\\ ~~~~~~~~ = \frac12 \ln\left(\frac92\right) \left(3-\frac23\right) = \boxed{\frac76 \ln\left(\frac92\right)}\)

Answer:

1/2 x 7= 3.5

Step-by-step explanation:

Answer:

6x² - 19x + 15

Step-by-step explanation:

(2x-3) (3x-5)

6x² - 10x - 9x + 15

6x² - 19x + 15

Coordinates of the fourth vertex is (-4,7).

Given:

coordinates (5,-5),(7,-9) and (-2,-7)

From the figure:

Horizontal line vertices are (7,-9) and (-2,-7) on comparing the x coordinates the x is 9 units so the top line starting from (5,-5) should  move 9 units left that is x coordinate is x = -4.

Vertical line vertices (5,-5) and (7,-9) on comparing the y coordinates the y is 14 units so the left line starting from (-2,-7) should move 14 units top that is y coordinate is y = 7.

Therefore coordinates of the fourth vertex is (-4,7).

Learn more about the fourth vertex here:

https://brainly.com/question/8247292

#SPJ1

Answer:

900 cubes with side of 1/10 ft will fill the prism completely for a total volume of 9/10 ft ³

Answer:

total volume=l×b×h=1 1/2×1 1/5×1/2=3/2×6/5×1/2

=18/20=9/10ft³

I think

Answer:

-3/2

Step-by-step explanation:

you can find the perpendicular slope by putting the slope in 1/-m. M is the current slope you have or really you can flip it and change the signs so for example, 1/-(2/3) = -3/2

The slope of line CD​ is = -3/2

A perpendicular is a straight line that makes an angle of 90° with another line.

Given that the lines AB and CD are perpendicular to each other, the slope of line AB is 2/3.

Slope of perpendicular lines are negative reciprocal of each other, so,

Hence, The slope of line CD​ is = -3/2

For more references on Perpendicular lines, click;

https://brainly.com/question/18271653

#SPJ2