What is the distance between points A and B shown in the graph below

186 cm³ will be the surface area of the given figure.

To calculate the surface area of the given figure, we need to add the surface area of two cubes and reduce the area of the hidden part.

Thus,

Total surface area = Surface area of bigger cube + surface area of the smaller cube - 2* surface area of the hidden part.

So,

Total surface area = 6*(5*5)+6*(3*3)-2*(3*3)

Total surface area = 150+54-18

Total surface area = 186

Therefore, the surface area of the given figure will be 186 cm³.

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Since we have that the sum of all exterior angles of any convex polygon adds 360°, we will have the following:

Now, we operate like terms and solve for x:

So, the value of x is 25.

And, the value of (2x + 7) is 57.

The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.

To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.

First, let's find the interest amount:

Interest = Principal x Interest Rate x Time

Given:

Principal = $4650

Interest Rate = 2% per year

Time = 2 months

Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.

Interest = $4650 x 0.02 x (1/6) = $15.50

Now, we can calculate the total principal and interest payment:

Total Payment = Principal + Interest

Total Payment = $4650 + $15.50 = $4665.50

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9514 1404 393

Answer:

  19. wrong multiplier was used, and used incorrectly; x = -324

  20. wrong multiplier was used, and used incorrectly; y = 5

Step-by-step explanation:

In each case, the equation was multiplied by the coefficient of the variable, instead of divided. In each case, the square of the coefficient was evaluated incorrectly (so the error wasn't noticed).

__

19) As described above.

  (-36)(9) = (x/9)(9)

  -324 = x

__

20) In addition to the errors described above, the variable was changed from y to x.

  15/3 = (3y)/3

  5 = y

a) The break-even point for the division is: 4000 units

b) The level of sales for 10% profit is: 4681 units

The break-even point is defined as the point at which total cost and total revenue are equal, meaning there is no loss or gain for your small business. In other words, you've reached the level of production at which the costs of production equals the revenues for a product.

a) We are told that:

Selling price for income tax app = $8

Monthly fixed cost = $20000

Variable cost producing each app = $3

Thus:

8x = 3x + 20000

5x = 20000

x = 4000 units

b) 8x = 1.1(3x + 20000)

8x = 3.3x + 22000

4.7x = 22000

47x =220000

x = 4681 units

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Missing questions are:

(a) Find the break-even point for the division.

(x,y)=

(b) What should be the level of sales in order for the division to realize a 10% profit over the cost of making the income tax apps? (Round your answer up to the nearest whole number.)

Answer: the inequalities for which 0 is a solution are x - 5 ≤ -3 and x/-2 ≥ 0.

Step-by-step explanation: x - 5 ≤ -3 (0 is less than or equal to 2)

x/-2 ≥ 0 (0 is greater than or equal to 0)

In mathematical form, this can be written as:

0 ≤ x - 5 ≤ -3 or x - 5 ≤ 0 and x ≤ -3

\(|\Omega|=2\cdot6=12\\|A|=1\cdot2=2\\\\P(A)=\dfrac{2}{12}=\dfrac{1}{6}\)

Answer:

16 cups of flour

Step-by-step explanation:

step 1 - cups of flour-4,  cups of sugar -4

therefore, multiply 4 and 4

= 4x4 =16

so she used 16 cups of flours

HAVE A GREAT DAY!

Answer:

To find the surface area of a square pyramid, you need to find the area of the base and the area of the four triangular faces, and then add them together.

First, let's find the length of one side of the base of the pyramid:

Perimeter of the square base = 4 x side length

48 inches = 4 x side length

Side length = 12 inches

Now we can find the area of the base:

Area of the base = side length squared

Area of the base = 12 inches x 12 inches

Area of the base = 144 square inches

Next, we need to find the area of each triangular face. To do this, we need to find the length of the slant height of the pyramid. We can use the Pythagorean theorem to do this:

Slant height squared = height squared + (1/2 base length) squared

Slant height squared = 8 inches squared + (6 inches) squared

Slant height squared = 64 inches squared + 36 inches squared

Slant height = square root of (64 + 36) inches

Slant height = 10 inches

Now we can find the area of each triangular face:

Area of a triangular face = (1/2 base length) x slant height

Area of a triangular face = (1/2 x 12 inches) x 10 inches

Area of a triangular face = 60 square inches

Finally, we can add the area of the base and the area of the four triangular faces together to find the total surface area of the pyramid:

Total surface area = Area of the base + (4 x Area of a triangular face)

Total surface area = 144 square inches + (4 x 60 square inches)

Total surface area = 384 square inches

Therefore, the surface area of the pyramid is 384 square inches.

The relationship is proportional because the price for one pound of fresh salmon is the same for the different price paid.

If the relationship is proportional, the cost of one pound of fresh salmon for all the three options would be the same.

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Answer:

B) 6

Step-by-step explanation:

Let the number be x

Product of 6 and square of number plue 15 : (6x²) + 15

Coefficient of x² = 6

Answer:

87.3%

Step-by-step explanation:

you got 3 candy bars. The cost for each is $0.89

So, 3 x 0.89= $2.67

Gave $5 and the difference between $2,67 is 2.33

5-2.67=2.33

The change was 2.33 and the cost was 2.67 so the % tip was

2.33/2.67= 0.873=87.3%

Answer:

Approximately 87.02% tip was left.

Step-by-step explanation:

The total cost of the three candy bars is 3 x $0.89 = $2.67.

so the total amount spent is $2.67.

You gave the cashier $5 and told them to keep the change, which is $5 - $2.67 = $2.33.

Therefore, the tip you left is $2.33.

To calculate the percentage tip:

(total cost of the three candy bars/the tip you left) x 100

which is equal to:

($2.33 / $2.67) x 100% ≈ 87.20%

So you left approximately an 87.20% tip.

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Answer:

Option A

x + 2x + x + 15 = 100

Step-by-step explanation:

Shortest side = x

One side twice length of Shortest side = 2x

Another side 15 more = x + 15

Hence, perimeter

=> x + 2x + x + 15 = 100

The appropriate value in the box will be 4. This will be illustrated as 4(5x + 6)

It should be noted that an expression is used to show the relationship between the variables involved.

In this case, the appropriate value in the box will be 4. This will be illustrated as:

= 4(5x + 6)

= 20x + 24

In conclusion, the value is 4.

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Answer: B, C, and E

Step-by-step explanation:

B and C are the same thing. And E will also work.

A will get you in the right quadrant, but the shape is wrong.

D will just get you back into the place you origianlly started at.

Answer:

Step-by-step explanation:

15.) \(\sqrt{12}\)

      \(\sqrt{4}\) * \(\sqrt{3}\)

      Answer: 2\(\sqrt{3}\)

17.) Distribute 3\(\sqrt{3}\) into both sides of the parentheses

     3\(\sqrt{3}\) * 4 = 12\(\sqrt{3}\)

     3\(\sqrt{3}\) * -3\(\sqrt{5}\) = -9\(\sqrt{15}\)

     Answer: 12\(\sqrt{3}\) - 9\(\sqrt{15}\)

19.) Distribute 4\(\sqrt{15}\) into both sides of the parentheses

      4\(\sqrt{90}\) + 4\(\sqrt{75}\)

      4*\(\sqrt{9}\)*\(\sqrt{10}\) + 4*\(\sqrt{25}\)*\(\sqrt{3}\)

      4*3*\(\sqrt{10}\) + 4*5*\(\sqrt{3}\)

      12\(\sqrt{10}\) + 20\(\sqrt{3}\)

21.) Distribute \(\sqrt{15}\) into both sides of the parentheses

      2\(\sqrt{150}\) - 4\(\sqrt{90}\)

      2*\(\sqrt{25}\)*\(\sqrt{6}\) - 4*\(\sqrt{9}\)*\(\sqrt{10}\)

      2*5*\(\sqrt{6}\) - 4*3*\(\sqrt{10}\)

      10\(\sqrt{6}\) - 12\(\sqrt{10}\)

Answer:

199999/1000000

Step-by-step explanation:

Answer:

Let B have x days work:

A + B = 3 days

1/4 + 1/x = 1/3

1/3 - 1/4 = 1/x

1/12 = 1/x

x = 1 / (1/12)

x = 12

B takes 12 days

I do not know if this is right

O O

v

(____)

Answer:

-43 < -35

Step-by-step explanation:

-43 is less than -35 because it is on the left.

The correct answer is c) Other types of pseudo R-squares may be greater or less than 60% with the same logistic regression model.

Pseudo R-squares, such as the one used in logistic regression, are measures of how well the model fits the data, but they cannot be directly compared to R-squared values from other types of regression models. Therefore, we cannot conclude that the logistic regression model with a pseudo R-Square of 60% is better than another logistic regression with an R-square (CS) of 50% or a multiple linear regression model with an R-square of 55%. However, we can say that 60% of the variation in the data can be explained by the logistic regression model, based on its pseudo R-Square value.

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This function written in vertex form include the following: A. f(x) = (x –1)² – 7.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = x² – 2x – 6, we have:

a = 1, b = -2, and c = -6

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-2)/2(1)

Axis of symmetry, Xmax = 2/2

Axis of symmetry, Xmax = 1.

Next, we would determine vertex as follows;

f(x) = x² – 2x – 6

f(x) = 1² – 2(1) – 6

f(x) = -7.

Now, we can write quadratic function in vertex form;

f(x) = a(x - h)² + k

f(x) = (x - 1)² - 7

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Complete Question:

The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.

What is this function written in vertex form?

f(x) = (x –1)² – 7

f(x) = (x +1)² – 7

f(x) = (x –1)² – 5

f(x) = (x +1)² – 5

1) Polynomial of 4 terms.

2) The rational roots of the function are,

x = - 2, 1

3) The zeroes of the function are,

x = - 2, - 3, 2

4) The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) The correct function which shows the cubic equation is, option 1.

We have to given that;

1) Function is,

⇒ 3x⁵ + 5x⁴ - 7x³ + 15

Clearly, There are 4 terms in function.

Hence, Polynomial of 4 terms.

2) Function is,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

The correct rational roots are satisfy the function,

Hence, We get;

Plug x = 1,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0

⇒ 0 = 0

Plug x = - 2;

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0

⇒ 0 = 0

Thus, The zeroes of the function are,

x = - 2, 1

3) Function is,

⇒ y = (x + 3) (x + 2) (x - 2)

Hence, The zeroes of the function are,

x = - 3

x = - 2

x = 2

4) Function is,

⇒ 3x² - 4 = - x⁴

⇒ x⁴ + 3x² - 4 = 0

⇒ x⁴ + 4x² - x² - 4 = 0

⇒ x² (x² + 4) - 1 (x² + 4) = 0

⇒ (x² - 1) (x² + 4) = 0

⇒ x² - 1 = 0

⇒ x² = 1

⇒ x = ±1

⇒ x² + 4 = 0

⇒ x² = - 4

⇒ x = ±2i

Hence, The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) By given graph the  correct function which shows the cubic equation is, Option 1.

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Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Answer:

convert the lengths to meters

10dm=1m

1dm=0.1m

hence, firs ribbon

2m+0.1m=2.1m

Second Ribbon

3m and 9dm

convert 9dm into Metres we get 0.9m

hence, 3m+0.9m=3.9m

Third Ribbon

6m+0.4m=6.4m

Answer: 80

Step-by-step explanation:

Angle FGB = 80 degrees b/c supplementary angles.

By the sum of interior angles of a quadrilateral, angle FEB = 360 - 75 - 95 - 90 = 100 degrees.

x is supplementary with this angle and is this 180 - 100 = 80.

The range of the starting salaries is 53,000

Given,

The box and whisker plot below shows the starting salaries

The number of graduates in a small college = 120

We have to find the range of the starting salaries;

Range of a data;

The difference between the highest and lowest values for a given data collection is the range in statistics. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation.

Here,

Lowest value = 19,000

Highest value = 72,000

Then,

Range of the set = 72,000 - 19,000 = 53,000

That is,

The range of the given data set is 53,000

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Answer:

z = 3/31

Step-by-step explanation:

5z + 3 = 36z

subtract 5z on both sides

3 = 31z

divide by 31 on both sides

z = 3/31

Answer:

Try h=(1-6πs)/6π

Step-by-step explanation:

That's the same answer in another format