How many planes of symmetry does a right pyramid with an isosceles triangle base have?

Answer:

Step-by-step explanation:

Find the linearization of the function z = x squareroot y at the point (6, 1). L(x, y) = Find the linearization of the function f(x, y) = squareroot 36 - 4x^2 - 4y^2 at the point (-1, 2). L(x, y) = Use the linear approximation to estimate the value of f(-1.1, 2.1) =

Answer:

Step-by-step explanation:

Okay, Here we go!

To figure this out, lets write the problem down.

f(x)=1/6 (2x-8) ; f(-11)

We substitute -11 for x

f(-11)= 1/6 (2(-11)-8)

Now we solve

2 x -11 =-22

1/6 (-22-8)

-22-8 = -30

-30/6= -5

f(-11) = -5

hope this helps!^^

Answer:

-5

Step-by-step explanation:

just put -11 in place of x

Answer:

900

Step-by-step explanation:

Answer:

Answer: 12×75

= 900

Step-by-step explanation:

Hope this helps

Answer:

11 hours as a cashier

and 2 hours as a teacher

11 x 8 = 88

6 x 2 = 12

88 + 12 = 100

Step-by-step explanation:

Answer:  D = r*t + r*t   372 3/4 = (63 * 2 3/4) + (57 * 3 1/2)

  OR

D1 + D2 = Total  173 1/4 + 199 1/2 = 372 3/4

D1 = r1 *t1       63 * 2 3/4 = 173 1/4

D2 = r2 * t2      57 * 3 1/2 = 199 1/2

Step-by-step explanation:

The trip is in two segments, so calculate the distance driven in each portion, then add the two distances together to get the total.

Another way to write the expression would be  D = r*t + r*t  

The total distance that Wendy drove to Cleveland will be 372.75 miles.

For the first 2 3/4 hours of her trip, she drove an estimated 63 mph. Then, the distance traveled will be:

= 63 × 2 3/4

= 173.25 miles.

For the second portion of her trip, which took her 3 1/2 hours, she drove at an estimated rate of 57 mph, the distance will be:

= 57 × 3 1/2

= 199.5 miles

The total distance traveled will then be:

= 173.25 miles + 199.5 miles

= 372.75 miles.

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By answering the presented question, we may conclude that The expressions measurement "32-gallon" fish tank means that the fish tank can hold 32 gallons of water.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

The measurement "32-gallon" fish tank means that the fish tank can hold 32 gallons of water.

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Answer:

Step-by-step explanation:

The given system of equations is:

5d + 20e - 10% = -85 …………………..(1)

-20d + 394e = 223 ………………...(2)

4d + 13e = -106 …………………….(3)

We can solve this system of equations using the Gaussian elimination method. In this method, we convert the system of equations into an equivalent system of equations that is easy to solve by eliminating one variable at a time.The elimination process starts by multiplying the equations so that one variable cancels out. We can do this by multiplying both sides of an equation with a constant or by adding or subtracting two equations.

Here, the first equation has a percentage sign which we need to remove.

We can do this by dividing both sides of equation (1) by

10.5d/10 + 20e/10 - 1 = -85/10

⇒ 0.5d + 2e - 1 = -8.5

⇒ 0.5d + 2e = -7.5 ……………………..(4)

Now, we can use equations (2) and (4) to eliminate d.

Multiplying equation (2) by 2 and adding it to equation (4), we get,

2(-20d + 394e = 223) + (0.5d + 2e = -7.5)

⇒ -40d + 788e + 0.5d + 2e = -7.5 + 446

⇒ -39.5d + 790e = 438 ……………………...(5)

Multiplying equation (2) by 5 and adding it to equation (3), we get,

5(-20d + 394e = 223) + (4d + 13e = -106)

⇒ -100d + 1970e + 4d + 13e = -106 + 1105

⇒ -96d + 1983e = 999 ……………………(6)

Now, we can use equations (5) and (6) to eliminate d.

Multiplying equation (5) by 2 and adding it to equation (6), we get,

2(-39.5d + 790e = 438) + (-96d + 1983e = 999)

⇒ -79d + 1563e + (-96d + 1983e) = 876 + 1998

⇒ -175d + 3546e = 2874 …………………..(7)

We can simplify equation (7) by dividing both sides by 7,-25d + 506e = 410 ……………………..(8)

Now, we can use equations (4) and (8) to solve for e.

Multiplying equation (4) by 506/4 and adding it to equation (8), we get,

506/4 × (0.5d + 2e = -7.5) + (-25d + 506e = 410)

⇒ 253d + 506e - 1895 - 25d + 506e = 410

⇒ 228d + 1012e = 2305 ……………………(9)

We can simplify equation (9) by dividing both sides by

4,57d + 253e = 576 ……………………(10)

Now, we can use equations (4) and (10) to solve for d.

Multiplying equation (4) by 57/2 and adding it to equation (10), we get,

57/2 × (0.5d + 2e = -7.5) + (57d + 253e = 576)

⇒ 28.5d + 114e - 214.125 + 57d + 253e = 576

⇒ 85.5d + 367e = 790.125 …………………….(11)

We can simplify equation (11) by dividing both sides by 17,5d + 23e = 46.4166667 …………………….(12)

Now, we can use equations (4) and (12) to solve for e.

Multiplying equation (4) by 23/2 and adding it to equation (12), we get,

23/2 × (0.5d + 2e = -7.5) + (5d + 23e = 46.4166667)

⇒ 11.5d + 46e - 86.625 + 5d + 23e = 46.4166667

⇒ 16.5d + 69e = 133.0416667 ……………………..(13)

We can simplify equation (13) by dividing both sides by 3,5.5d + 23e = 44.3472222 ……………………..(14)

Now, we can use equations (4) and (14) to solve for e.

Multiplying equation (4) by 23 and subtracting it from equation (14), we get,

23 × (0.5d + 2e = -7.5) - (5.5d + 23e = 44.3472222)

⇒ 11.5d - 48.5e = -212.0972222 ……………………..(15)

We can simplify equation (15) by dividing both sides by 1.5,7.6666667d - 32.3333333e = -141.3981481 ……………………..(16)

Now, we can use equations (4) and (16) to solve for e.

Multiplying equation (4) by 32 and adding it to equation (16), we get,

32 × (0.5d + 2e = -7.5) + (7.6666667d - 32.3333333e = -141.3981481)

⇒ 16d + 64e - 240 + 7.6666667d - 32.3333333e = -141.3981481

⇒ 23.6666667d + 31.6666667e = 98.60185185 …………………..(17)

We can simplify equation (17) by dividing both sides by 1.6666667,

14.2d + 19e = 59.1611111 ……………………..(18)

Now, we can use equations (4) and (18) to solve for e.

Multiplying equation (4) by 19 and subtracting it from equation (18), we get,

19 × (0.5d + 2e = -7.5) - (14.2d + 19e = 59.1611111)

⇒ 9.5d - 41e = -186.3111111 ……………………..(19)

We can simplify equation (19) by dividing both sides by 1.9,

5d - 21.57894737e = -98.05789474 ……………………..(20)

Now, we can use equations (4) and (20) to solve for e.

Multiplying equation (4) by 21.57894737 and adding it to equation (20), we get,

21.57894737 × (0.5d + 2e = -7.5) + (5d - 21.57894737e = -98.05789474)

⇒ 43.15789474d + 0e = -252.5263158

⇒ 43.15789474d = -252.5263158

⇒ d = -5.85416667

Substituting the value of d in equation (4), we get,

0.5d + 2e = -7.5

⇒ 0.5(-5.85416667) + 2e = -7.5

⇒ e = -6.5

Now, we have the values of d and e, and we can substitute them in any equation to get the value of the remaining variable.

We can use equation (2),

-20d + 394e = 223

⇒ -20(-5.85416667) + 394(-6.5) = 223

⇒ 117.0833334 + (-2561) = 223

⇒ -2443.916667 = 223

This is not true, which means there is no solution to this system of equations. Hence, the system is inconsistent.

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Answer:

I think its false

Step-by-step explanation:

I've tried every strategy there is no way there could be a function

Answer:

I think its false

Step-by-step explanation:

cuz it's not a function

If both the corresponding angles and sides are congruent and proportional, respectively, you can state that the triangles are similar.

To determine if two triangles are similar, you need to check if their corresponding angles are congruent and their corresponding sides are proportional.

To state if the triangles in each pair are similar, follow these steps:

1. Identify the corresponding angles: Compare the angles of one triangle to the angles of the other triangle. If all the corresponding angles are congruent, then the triangles are similar.

2. Check for proportional sides: Compare the lengths of the corresponding sides of the two triangles. If the ratios of the corresponding sides are equal, then the triangles are similar.

3. If both the corresponding angles and sides are congruent and proportional, respectively, you can state that the triangles are similar.

For example, consider two triangles with angles A, B, and C, and sides a, b, and c. If you find that angle A of one triangle is congruent to angle A of the other triangle, angle B is congruent to angle B, and angle C is congruent to angle C, and the ratios a/b, b/c, and a/c are all equal, then you can conclude that the two triangles are similar.

Remember, similarity is not the same as congruence. Similar triangles have the same shape but can differ in size.

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The probability of a person guessing the right combination be

1/720.

Given, a small combination lock on a suitcase has ​wheels, each labeled with the 10 digits from 0 to 9.

we have to find the probability of a person guessing the right combination if there is no repeating of any digit.

as, we need three digit number to unlock the suitcase.

total combinations of the lock be,

10×9×8

= 720

only one combination can open the suitcase,

So, the probability of a person guessing the right combination be

1/720.

Hence, the probability of a person guessing the right combination be

1/720.

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The bank offers the customer a loan of $7000 at an annual interest rate of 9% for a term of 60 months.

The customer has a budget of $105 remaining each month to meet any financial obligations. To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an amortizing loan. The formula is:

M = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where M is the monthly payment, P is the loan amount, r is the monthly interest rate, and n is the number of payments.

First, we need to calculate the monthly interest rate by dividing the annual interest rate by 12 (since there are 12 months in a year): 9% / 12 = 0.75%.

Next, we can substitute the values into the formula:
M = 7000 * 0.0075 * (1 + 0.0075)^60 / ((1 + 0.0075)^60 - 1)

Using a calculator, we find that the monthly payment comes out to be approximately $136.53.

Since the customer has a budget of $105 remaining each month, they will be able to comfortably afford the monthly payment of $136.53 for the loan.

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The larger number is 49 and the smaller number is 16.

The first step is to form a linear expression that represents the larger number.

Let the smaller number be represented with y

The larger number is represented with this linear expression : 1 + 3y

The sum of the two numbers : 1 + 3y + y = 65

Take the following steps to determine the value of the smaller number:

Combine similar terms: 65 - 1 = 3y + y

Add similar terms together: 64 = 4y

Divide both sides by 4: y = 64 / 4

y = 16

Larger number = 1 + 3(16)

1 + 48 = 49

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Answer:

it's 5 how did I know bc I'm big brain;p that's the right answers it's ,5...

Answer:

Additive

Step-by-step explanation:

I took the test

Answer:

0.9%

Step-by-step explanation:

I took the test

The answer to (3x + 4) - (x + 2) is

2(x + 3).

(3x + 4) - (x + 2) = 2(x+3)

Answer:

2x + 2 is the answer.....

Answer:

Sorry This Is Late

The Answer Is "g(x)= 3^(x+1)-2"

Step-by-step explanation:

I Just Took The Test :)

Answer:

\((15y + x) + 45y \\ = 15y + x + 45y \\ = 15y + 45y + x \\ = 60y + x\)

Answer:

60y + x

Step-by-step explanation:

(15y + x) + 45y

15y + x + 45y

60y + x

Answer:

55

Step-by-step explanation:

As you can see, the length of the outer angle is 125. So, 180 - 125 = 55.

Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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A  using power series solutions y" - xy = 0 split this integral into two parts L[eᵗ sin h(t)] = (1/2) × ∫(0 to ∞) e²((1-s)t) × e²t.

The differential equation y" - xy = 0 using power series solutions, that the solution can be expressed as a power series:

y(x) = ∑(n=0 to ∞) aₙxⁿ

Differentiating y(x) with respect to x,

y'(x) = ∑(n=0 to ∞) n ×aₙxⁿ⁻¹

y''(x) = ∑(n=0 to ∞) n(n-1) × aₙxⁿ⁻²

Substituting these expressions into the differential equation,

∑(n=0 to ∞) n(n-1) × aₙxⁿ⁻² - x × ∑(n=0 to ∞) aₙxⁿ = 0

Now, let's rearrange the terms and combine the series:

∑(n=2 to ∞) n(n-1) × aₙxⁿ⁻² - ∑(n=0 to ∞) aₙxⁿ⁺¹ = 0

Shifting the index of the second series, we obtain:

∑(n=2 to ∞) n(n-1) × aₙxⁿ⁻² - ∑(n=2 to ∞) aₙ⁻²xⁿ = 0

Now the coefficients of like powers of x to zero:

For n = 0:

0 × a₀ = 0

This gives no new information.

For n = 1:

1(1-1) × a₁ - a₀ = 0

0 × a₁ - a₀ = 0

a₀ = 0

For n ≥ 2:

n(n-1) × aₙ - aₙ⁻² = 0

aₙ = aₙ⁻² / (n(n-1))

that the coefficients aₙ for odd powers of x are determined by the even-powered coefficients aₙ⁻².

The power series solution is then:

y(x) = ∑(n=0 to ∞) aₙxⁿ = ∑(n=0 to ∞) aₙ⁻² / (n(n-1)) ×xⁿ

Now, let's evaluate L(eᵗ sinh(t)) using Laplace transforms. The Laplace transform of a function f(t) is defined as:

L[f(t)] = ∫(0 to ∞) e²(-st) × f(t) dt

Applying the Laplace transform to eᵗsinh(t),

L[eᵗsinh(t)] = ∫(0 to ∞) e²(-st) × eᵗsinh(t) dt

To simplify this integral,  use the identity sinh(t) = (e²t - e²(-t))/2:

L[eᵗsinh(t)] = ∫(0 to ∞) e²(-st) × eᵗ ×(e²t - e²(-t))/2 dt

= (1/2) ×∫(0 to ∞) e²((1-s)t) × (e²2t - 1) dt

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Answer:

Mind if ya brainiest meh

Step-by-step explanation:

The volume of the hemisphere is 1071.78 ft^3

The value of the given expression to the nearest hundredth is 11.51. The correct option is the third option 11.51

From the question, we are to determine the value of the expression to the nearest hundredth

The given expression is

π + √70

√70 = 8.37

Take π = 3.14

Thus,

π + √70 becomes

3.14 + 8.37 = 11.51

Hence, the value of the given expression to the nearest hundredth is 11.51. The correct option is the third option 11.51

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According to the given statement:

The computed value is significantly less than the given value.

The correct option is B.

The standard deviation serves as an indicator of how much a set of values can vary or be dispersed. The values are typically close to the set's mean when the standard deviation is low, while the values are dispersed over a wider range when the standard deviation is high.

The  computed value, 14.5

The  standard deviation, 11.1

finding the difference :

Percentage = (14.5 - 11.1)/11.1 * 100 = 30.6%

the value  is greater than 20%. ,

so,

In comparison to the given value, the computed value is significantly lower.

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I understand that the question you are looking for is:

Consider a difference of 20% between two values of a standard deviation to be significant. How does the computed value, 14.5, compare with the given standard deviation, 11.1?

A) The computed value is significantly greater than the given value

B) The computed value is significantly less than the given value

C) The computed value is not significantly different from the given value

Given a sample with a mean of 145 lb, a size of 16, and a standard deviation of 16 lb, we can analyze the sample using statistical measures such as the mean and standard deviation to understand the characteristics of the data.

The mean, also known as the average, is calculated by summing up all the values in the sample and dividing by the sample size. In this case, the mean is 145 lb.
The standard deviation measures the dispersion or spread of the data points around the mean. It quantifies the variability within the sample. A higher standard deviation indicates a greater spread of values. In this case, the standard deviation is 16 lb.
These statistical measures help us understand the central tendency and variability of the sample data. The mean of 145 lb indicates the average weight within the sample, while the standard deviation of 16 lb suggests that the weights in the sample are spread out around the mean. This information can be useful for making comparisons, identifying outliers, or conducting further statistical analysis.

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Step-by-step explanation:

answer is 40.56

approx 40.60

Answer:

Step-by-step explanation:

First the slope. The slope is the number before the x. First, is the slope positive or negative? To find this determine if the slope is negative or positive. If it’s positive, the line goes up. If it’s negative, the line goes down.

This slope is negative, so we know the line will go down.

Now the slope is 1/2

Slopes are rise/over or y/x

To find where to put the line, look at the y-intercept

The y intercept is the number that comes after the x in the equation. The y intercept in this problem is -3.

Y intercepts are where the line crosses the y-axis so find -3 on the y axis.

Now from there. Use the slope to make points.

First go down one and then go right two.

Now mark a point there and continue to do this with each point.

You go one down because the y value in -1/2 is 1 and you go right two because the x value is 2.

The solution to the inequality is a coordinate of (-1.8, 0.6)

From the question, we have the following parameters that can be used in our computation:

y> -2x - 3

Y <4/3x +3

Next, we make a plot of the system to determine the solution

The shaded area in the plot represent the solution to the inequality

In this case, the shaded area has a coordinate of (-1.8, 0.6)

Hence, the solution is (-1.8, 0.6)

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a. The unemployment rate is 20%.

b. The labor-force participation rate is 60%.

According to the question,

Working age population- 100,000

Labour force - 60,000

Unemployed - 12000 instructions

a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:

Unemployment Rate = \(\frac{Number of unemployed People}{Labor force}\) × 100

When an unemployed population is 12,000 and the labor force is 60,000,

the unemployment rate is  = \(\frac{12000}{60000}\) × 100 = 20%

b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:

Labor Force Participation Rate = \(\frac{Labor force}{working age population}\) × 100

When the labor force is 60,000 and the working-age population is 100,000

Labor Force Participation Rate = \(\frac{60000}{100000}\) × 100 = 60%

So, a. The unemployment rate is 20%.

b. The labor-force participation rate is 60 %.

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