A rectangle and a triangle have the same area and the same base measurement. How does the height of the triangle compare to the height of the rectangle? Explain your answer.

* can someone please explain this in their own words and not the sample response because I don’t get it*

Answer:

12.6 cm²

Step-by-step explanation:

From the above question, the magnet is circular in shape

The area of a circle is given as:

= πr²

The area of the magnet = π × r²

Diameter = 4cm

r = Diameter/2 = 4cm/2 = 2cm

= π × (2cm)²

= 12.566370614cm²

Approximately = 12.6 cm²

The area of the magnet = 12.6cm²

Answer:

-30c

Step-by-step explanation:

now:-25

noon - 10pm +10 (got 10c hotter)

-25c-10=-35c(opposite of rise)

midnight - noon: -5c

so do the opposite which is +5

-35+5=-30c

Answer:

lol

Step-by-step explanation:

I'm freaking Latino

To understand why the function evaluates to -2 at -2.99, it is necessary to know the specific function and its definition or the rules. The value of the unknown function at -2.99 is -2.

In the given statement, it is indicated that the value of the unknown function at -2.99 is -2. This implies that when the input to the function is -2.99, the output is -2.

To provide a more detailed explanation, we need to know the specific function being referred to. Without this information, it is difficult to provide a precise explanation for why the function evaluates to -2 at -2.99. The behavior of a function depends on its definition, and different functions can have different rules or equations governing their behavior.

In general, functions can be represented by mathematical expressions or equations, and they map input values to corresponding output values. The function's behavior can be determined by its definition, which may involve various mathematical operations, constants, variables, or specific conditions.

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Answer:

ok so

1/3×1/4=1/12

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

Fractions must have common denominators

1/3= 4/12

1/4=3/12

4/12+3/12=7/12

12/12-7/12=5/12

Answer:

The customer would have 177 minutes to talk on the phone for their monthly bill to be 84.25

Step-by-step explanation:

Point of correction it's not C=25m +40 but it is

C=0.25m +40

Where,

➟ 84.25 = 0.25m + 40

Let's solve your equation step-by-step.

84.25=0.25m+40

Step 1: Flip the equation.

0.25m+40=84.25

Step 2: Subtract 40 from both sides.

0.25m+40−40=84.25−40

0.25m=44.25

Step 3: Divide both sides by 0.25.

0.25m/0.25 = 44.25/0.25

m=177

∴ The customer would have 177 minutes to talk on the phone for their monthly bill to be 84.25

Answer:

Step-by-step explanation:

Igneous

Sedimentary

Metamorphic

Hope that helps!

Using it's concept, it is found that the percent increase in the amount of iron per serving was of 50%.

It is given by the increase divided by the initial value, and subtracted by 100%.

In this problem:

Hence the percent increase is given by:

P = 0.6/1.2 x 100% = 50%.

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False. very few tools are available to assist system analysts and end users in analyzing data.

There are many tools available to assist system analysts and end users in analyzing data. Some commonly used tools include spreadsheets (such as Microsoft Excel), data visualization software (such as Tableau or Power BI), statistical analysis software (such as R or SPSS), and business intelligence software (such as SAP or Oracle).

These tools allow analysts and end users to process, manipulate, and visualize large volumes of data, as well as to perform complex statistical analyses and modeling. Additionally, with the advent of big data technologies, such as Hadoop and Spark, analysts and end users can now analyze vast amounts of data in real-time, using distributed computing systems.

In summary, there are many tools available to assist system analysts and end users in analyzing data, and these tools continue to evolve and improve over time.

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Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

Answers:

2/9

1/9

1/5

1/10

Answer:

2/10 but when simplified 1/5

Step-by-step explanation:

The limit of the ratio test for the series ∑[infinity] to n=1 10^n÷n! is infinity (∞).

The ratio test is used to determine the convergence or divergence of a series. It involves taking the limit of the absolute value of ratio of consecutive terms. If the limit is less than 1, the series converges. If the limit is greater than 1 or infinity (∞), the series diverges. If the limit is exactly 1, the test will be inconclusive.

In this case, we have f(n) = ∣(10^n+1)÷(10^n)∣ = ∣10∣ = 10. The limit of f(n) as n approaches infinity is 10.

Since the limit of f(n) is greater than 1, the series fails the ratio test. This means that the series ∑[infinity] to n=1 10^n÷n! diverges. The ratio test suggests that the series does not have a finite sum and continues indefinitely.

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The perimeter of a rectangular table is 198 inches.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Given that, a rectangular table is 64 inches long and 35 inches wide.

Now the perimeter of table is

2(64+35)

= 2×99

= 198 inches

Therefore, the perimeter of a rectangular table is 198 inches.

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The probability that a homebuilder takes 200 days or less to complete a house is approximately 0.8238, or 82.38%.

Explanation :

To answer this question, we can use the concept of the z-score. The z-score tells us how many standard deviations a data point is from the mean.

Let's calculate the z-score for a completion time of 200 days:
z = (x - μ) / σ
where x is the completion time, μ is the mean, and σ is the standard deviation.
Plugging in the values, we get:
z = (200 - 176.7) / 24.8 = 0.93

To find the probability associated with this z-score, we can use a z-table or a calculator. In this case, the probability is 0.8238.

This means that there is an 82.38% chance that the completion time of a house will be 200 days or less, given that the completion time follows a normal distribution with a mean of 176.7 days and a standard deviation of 24.8 days.

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Answer: -24x^2+28x

Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x

Answer:

Can you explain better? I might be able to solve

Step-by-step explanation:

Answer:

12/2g + 1

12/2(1)+1

12/2+1

12/3

4

Step-by-step explanation:

Unfortunatly brainly does not provide me with graphics support.

First thing to realise is that we are dealing with inequality which essentially means that the solution will be an interval or more specifically a possibly constrained set of value.

Here is the inequality:

\(

350 > 125 + 15r

\)

If we subtract 125 and then divide by 15 on both sides we get:

\(

r > 15

\)

This notation essentialy means that inequality is true for any r smaller than 15. We can write that as r being in some set of numbers that represents the possibilites:

\(r\in\{14,13,12,\dots,-\infty\}\)

In interval notation that is:

\(r\in(-\infty,15)\)

MM, MF, FM, and FF where MM stands for two boys, MF stands for one boy and one girl in that order, FM stands for one girl and one boy in that order, and FF stands for two females.

As per the question given,  

The sample space for the gender of the children consists of all possible combinations of the genders of the two children. Assuming that the gender of each child is independent of the other and equally likely to be male or female, the sample space can be represented as:

{MM, MF, FM, FF}

where MM represents two boys, MF represents one boy and one girl in that order, FM represents one girl and one boy in that order, and FF represents two girls.

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Answer:

^5-144p^3 = p^3(p^2-144)= p^3(p-12)(P +12

Therefore the interquartile range of the Juvinile Whale is greater than that of the Adult Whale

Option D

Answer:

Therefore, based on the given scatter plot, the set of numbers that matches the points is C. 8,9,8,10,8,11.

Step-by-step explanation:

The scatter plot shown represents a set of nine points on a coordinate plane. Each point consists of an x-coordinate and a y-coordinate. To determine which set of numbers corresponds to the scatter plot, we need to analyze the pattern in the given points.

Looking at the scatter plot, we observe that the x-coordinates range from 0 to 10 with an increment of 1, while the y-coordinates seem to vary.

Now let's examine the given answer choices:

A. .4,4,5,5,6,6

B. .4,10,4,11,4,12

C. 8,9,8,10,8,11

D. 10,10,10,11,10,12

Set C (8,9,8,10,8,11) among these answer choices matches the pattern observed in the scatter plot. The x-coordinates in the scatter plot range from 0 to 10, and the y-coordinates correspond to the numbers provided in set C.

Therefore, based on the given scatter plot, the set of numbers that matches the points is C.

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ANSWER :

The answer is :

EXPLANATION :

From the problem, we have :

The whole numbers will be added directly.

For the fraction part, the numerator is added and the denominator will stay the same.

That will be :

Answer:

1.7x + 1.14

Step-by-step explanation:

Using the normal distribution, given the graph at the end of this problem, we have that:

a. 99.74% of the homes are on the market between 14 and 86 days.

b. 0.1587 = 15.87% probability that a home is on the market for 62 days or more.

c. Approximately 95 homes were on the market between 26 and 50 days.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

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

In this problem:

Item a:

The proportion is the p-value of Z when X = 86 subtracted by the p-value of Z when X = 14, hence:

X = 86:

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

\(Z = \frac{86 - 50}{12}\)

\(Z = 3\)

\(Z = 3\) has a p-value of 0.9987.

X = 14:

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

\(Z = \frac{14 - 50}{12}\)

\(Z = -3\)

\(Z = -3\) has a p-value of 0.0013.

0.9987 - 0.0013 = 0.9974.

0.9974 = 99.74% of the homes are on the market between 14 and 86 days.

Item b:

The probability is 1 subtracted by the p-value of Z when X = 62, hence:

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

\(Z = \frac{62 - 50}{12}\)

\(Z = 1\)

\(Z = 1\) has a p-value of 0.8413.

1 - 0.8413 = 0.1587.

0.1587 = 15.87% probability that a home is on the market for 62 days or more.

Item c:

The proportion is the p-value of Z when X = 50 subtracted by the p-value of Z when X = 26, hence:

X = 50:

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

\(Z = \frac{50 - 50}{12}\)

\(Z = 0\)

\(Z = 0\) has a p-value of 0.5.

X = 26:

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

\(Z = \frac{26 - 50}{12}\)

\(Z = -2\)

\(Z = -2\) has a p-value of 0.0228.

0.5 - 0.0228 = 0.4772.

Out of 200 homes:

0.4772 x 200 = 95.4

Approximately 95 homes were on the market between 26 and 50 days.

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The coordinates of point b' are (-4, 1) and the coordinates of point c' are (-6, 0).

To obtain the coordinates of points b' and c' after the same translation as point a', we need to apply the same translation vector to points b and c.

The translation vector can be found by calculating the differences between the x-coordinates and the y-coordinates of points a' and a.

Translation Vector = (x-coordinate of a' - x-coordinate of a, y-coordinate of a' - y-coordinate of a)

                   = (-2 - 3, -3 - (-4))

                   = (-5, 1)

Now, we can obtain the coordinates of points b' and c' by adding the translation vector to the respective coordinates of points b and c.

For point b':

Coordinates of b' = (x-coordinate of b + x-coordinate of translation vector, y-coordinate of b + y-coordinate of translation vector)

                 = (1 + (-5), 0 + 1)

                 = (-4, 1)

Therefore, the coordinates of point b' are (-4, 1).

For point c':

Coordinates of c' = (x-coordinate of c + x-coordinate of translation vector, y-coordinate of c + y-coordinate of translation vector)

                 = (-1 + (-5), -1 + 1)

                 = (-6, 0)

Therefore, the coordinates of point c' are (-6, 0).

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Answer:

We can use trigonometry to solve this problem. The angle of elevation is the angle between the horizontal line and the line of sight from the observer to the top of the building.

We are given the angle of elevation (41°) and the distance from the observer to the building (60 feet).

We can use the tangent function to find the height of the building:

tan(41°) = height / 60

To find the height of the building we can multiply both sides of the equation by 60:

height = tan(41°) * 60

The height of the building is approximately 41.56 feet

Answer:

\(x = - 3\)

\(y = 1\)

Step-by-step explanation:

Write the system

\(3x - y = - 10\)

\(x + y = - 2\)

Solve by Elimination.

multiply the second equation by -3.

\(3x - y = - 10\)

\( -3x - 3y = 6\)

Add the Equations.

\( - 4y = - 4\)

\(y = 1\)

Plug this back in one of the equations.

\(x + 1 = - 2\)

\(x = - 3\)

Answer:

x = -3

y = 1

Step-by-step explanation:

3x - y = -10

x + y = - 2

x + y = - 2

x = -y - 2

replacing in other equation

3(-y - 2) - y = -10

-3y - 6 - y = - 10

rearranging the equation

-3y - y = = -10 + 6

-4y = -4

y = 1

putting this value in first eqn we get

x - y = -2

x - (1) = -2

x = -2-1

x = -3

The 95% confidence interval for the mean SBP level is (123.56, 138.44).

Hence, Option D (123.56 138.44) is the correct answer.

The formula for the confidence interval is:

\($CI = \bar{x} \pm Z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$\)

Where, \($\bar{x}$\) is the sample mean,

\($Z_{\alpha/2}$\) is the z-score for the given confidence level, \($\sigma$\) is the population standard deviation, and \($n$\) is the sample size.

Given that, Systolic Blood Pressure (SBP) of 13 workers follows a normal distribution with a standard deviation of 10. SBP values are as follows: 123, 134, 142, 114, 120, 116, 133, 542, 556, 148, 129, 133, 127.

The sample mean is \($\bar{x}=\frac{1}{n}\sum_{i=1}^{n}x_i$$\bar{x}\)

= \(\frac{123+134+142+114+120+116+133+542+556+148+129+133+127}{13}\)

= 1748/13 = 134.46$

The standard error is given by the formula,

\($SE = \frac{\sigma}{\sqrt{n}}\)

\($$SE = \frac{10}{\sqrt{13}} = 2.77$\)

The z-score for a 95% confidence level is found using a z-table or a calculator, which is 1.96.

Now, we can find the confidence interval using the formula,

\($CI = \bar{x} \pm Z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$\)

Substituting the given values, we get,

\($CI = 134.46 \pm 1.96 \cdot 2.77\)

\($$CI = 134.46 \pm 5.43$\)

Therefore, the 95% confidence interval for the mean SBP level is (123.56, 138.44).

Option D (123.56 138.44) is the correct answer.

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Stephen makes the mistake in the expression as he uses the 4 in the root and the 3 in the power and the expression actually is: ∛(16)/e

We start with the expression:

exp( (4/3)*ln(2) - 1)

Here we can use that:

exp(ln(x)) = x.

and e^(a + b) = e^a*e^b.

the first step here is:

e^((4/3)*ln(2) - 1) = e^((4/3)*ln(2)*e^(-1)

So the first step of Stephen is correct, but the first step of Helen is not, you can not simplify the expression in that way.

now, we have that:

a*ln(x) = ln(x^a)

then we can write:

(4/3)*ln(2) = ln(2^(4/3))

and e^(ln(2^(4/3)) = 2^(4/3)

then we have:

e^((4/3)*ln(2)*e^(-1) = 2^(4/3)/e

now we can write this as:

∛(2^4)/e

Here is where Stephen makes the mistake, he uses the 4 in the root and the 3 in the power.

The expression actually is: ∛(16)/e

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