Marco budgets $1,600 a month for expenses.
According to the graph, how much does he pay
for his credit card, groceries, and rent?
$1,008
$908
$1,142
$1,029

-1

8 is bigger than 0, so according to the function, we need to use the third one so it would be -1

Please find attached herewith the solution of your question.

Answer:

40π square inches

If you have any doubt, please comment.

Answer:

-15,-14,-13

Step-by-step explanation:

Let x = the first integer

Let x + 1 = the second integer

Let x + 2 = the third integer

The addition of all three equal -42

x + x + 1 + x + 2 = -42  Combine like terms

3x + 3 = -42  subtract 3 from both sides

3x + 3 - 3 = -42 - 3

3x = -45  Divide both sides by 3

x  = -15

Check

-15 + -14 + -13 = -42

-42 = -42

The value of expression is ,

10) 6

11) 18

12) 2

13) 4

14) [tex]\frac{1}{4}[/tex]

15) [tex]\frac{1}{3}[/tex]

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.

Here the given expression

10) 7+x+(-3)

Put x=2 then

=> 7+2-3

=> 7-1 = 6

11) 4[tex]x^2[/tex]+2

put x=2 then

=> [tex]4*2^2+2[/tex]

=> 4*4+2

=> 16+2=18

12) Ix+10I

put x=-12 then

=> I-12+10I

=> I-2I = 2

13) |2x + 1|

put x= 3/2 then

=> I2*[tex]\frac{3}{2}[/tex]+1I

=> I3+1I

=> I4I = 4

14)(x - 3)/4

put x=4 then

=> [tex]\frac{4-3}{4}[/tex]

=> [tex]\frac{1}{4}[/tex]

15) (5 - x)/6

put x=3 then

=> [tex]\frac{5-3}{6}[/tex]

=> [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

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Answer:

the first one is the correct answer

After calculating The perimeter of rectangle is 46.52 in the given rectangle.

What is area of rectangle?

area of rectangle can be defined as the product of length and breadth.

Given ,

A rectangle has a length 20 5 /6 and

breadth = 2 3/7

The perimeter of rectangle  = 2 (l+b)

length = (120 + 5 ) / 6 = 125/ 6

breadth = (14+3) / 7  = 17/7

perimeter  = 2 (125/6 + 17/7 )

= 2 ( (125*7 + 17 * 6) / 42 )

= 2 (875+102) / 42

= 2 * 23.26

= 46.52

Hence, after calculating The perimeter of rectangle is 46.52 in the given rectangle.

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The values of x can be that is x = 6 or x > 6 or x < -2 .

What is algebraic expression ?

Algebraic expression can be defined as the combination of variables, constants and exponents.

Given expressions,

2x-7 < -11 or 2x-7  >= 5

So, from the first expression,

2x-7 < -11

2x < -11+7

2x < -4

x < -2 or x>2

From the second expression,

2x - 7 >= 5

2x >= 5+7

2x >= 12

x >= 6

So , in this case x = 6 or x can be greater than 6.

Hence, The values of x can be that is x = 6 or x > 6 or x < -2 .

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Salut/Hello!

Answer: a) 90 tiles ; b) 3 m

Step-by-step explanation:

a) First we need to imagine a drawing of the empty worktop. We know the width is equal to 6 tiles and the length is equal to 15 tiles. If the shorter edge fits 6 tiles then we have 6 sets of 15 tiles.
6 x 15 = 90 tiles

b) We know the length of one tile is 20 cm so the length of 15 tiles that fit in the worktop is equal to 300 cm or 3 m

I hope it was helpful!

a) To cover the workshop, he has to use 90 tiles altogether.

b) The length of the workshop is 3 meters.

We know that the area of the rectangle is

Area =  length × width

Here shorter edge is called width and the longer edge is called length.

Also given that,

The tiles required to cover the shorter edge are 6 tiles.

The tiles required to cover the longer edge are 15 tiles.

so, the total tiles required to cover the worktop are

Area = 15 tiles × 6 tiles

= 90 tiles

Therefore, 90 tiles are required to cover the worktop.

To find the length of the worktop,

Required length = length of each tile × no. of tiles

By applying the formula,

Required length = 20 cm × 15

= 300 cm

1 meter = 100 centimeteres

Therefore, the length of the worktop is 3 meters.

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Answer:

A rational consumer is an economic concept that presupposes that when making a choice, consumers will always focus primarily on the maximisation of their private benefits. In decision making, rational consumers select the option that will bring the most utility and satisfaction to them.

Answer:

A, B and E

Step-by-step explanation:

The division of the given polynomial would be (x^4) + 81.

What is the synthetic division?

Synthetic division is a method for dividing polynomials that allows you to divide a polynomial by a linear factor (a factor in the form of (x-c) where c is a constant) without actually performing the long division process. It is a short cut method that simplifies the process of dividing polynomials.

To divide the polynomials using polynomial division, we will use the following steps:

Write the polynomials in descending order of exponents.

(2x^3 + x^4 - 6x^2 + 11x - 10) (x^2 + 2 - x)

Create a grid with the dividend on the left and the divisor on the right.

2x^3 x^4 -6x^2 11x -10

x^2 2 -x  

Bring down the leading coefficient of the dividend, which is 2x^3 in this case. Write it in the next row of the grid.

2x^3 x^4 -6x^2 11x -10

2x^3 x^2 2 -x  

Multiply the divisor (x^2 + 2 - x) by the leading coefficient (2x^3) and write the result in the next row.

2x^3 x^4 -6x^2 11x -10

2x^3 x^2 2 -x  

2x^5 2x^4 4x^3 -2x^4  

Subtract the second row from the third row and write the result in the next row.

2x^3 x^4 -6x^2 11x -10

2x^3 x^2 2 -x  

2x^5 2x^4 4x^3 -2x^4  

0 -x^4 -2x^2 11x -10

Divide the new leading term by the leading term of the divisor, which is x^2, and write the result in the next row.

2x^3 x^4 -6x^2 11x -10

2x^3 x^2 2 -x  

2x^5 2x^4 4x^3 -2x^4  

0 -x^4 -2x^2 11x -10

-x^2

So the final answer would be (-x^2) + (x^4 + 2x^2 - 11x + 10).

Hence, the division of the given polynomial would be (x^4) + 81.

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The company should create 1 unit of production in Plant 1 in order to optimize its earnings.

The company should create 1 unit of production in Plant 1 in order to optimize its earnings.

Any extra unit above one in Plant 1 would reduce the demand for the firm's goods, which is determined by

P = 78 – 15 Q, where Q = Q1 + Q2.

For instance, the company will generate four units in Q2 if it produced two units in Q1.

The negative demand for the firm's goods will range from 33 units

(78 - 15 x 3, where Q = 3) to -12 units (78 - 15 x 6, where Q = 6),

depending on the production output.

The output of the company at Plant 1 (Q1) that maximizes its earnings is therefore 1.

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Answer: No, it is not possible to have a 3/8-inch pipe with an inside diameter of 21/32 inches

Step-by-step explanation:

The inside diameter of a pipe is always smaller than the outside diameter. The outside diameter of a pipe is a measurement of the pipe's exterior, while the inside diameter is a measurement of the pipe's interior. Therefore, if the pipe is 3/8 inches in outside diameter, the inside diameter will be less than 3/8 inches.

In addition, 21/32 inches is greater than 3/8 inches, so it is not possible to have a 3/8 inches pipe with an inside diameter of 21/32 inches. This is because the inside diameter is always smaller than the outside diameter.

- C

Answer: [tex]x=7[/tex]

Step-by-step explanation:

[tex]3^{x-5}=9\\ \\ 3^{x-5}=3^2 \\ \\ x-5=2 \\ \\ x=7[/tex]

Answer:

-3

Step-by-step explanation:

Answer:

1the answer for this is easy it is 4.4

Step-by-step explanation:

x = number of deluxe staterooms on Pacific.

deluxe staterooms on Caribbean = x + 16

deluxe staterooms on Mediterranean = 4x - 28

1176 = x + (x + 16) + (4x - 28) = 6x - 12

1188 = 6x

x = 1188/6 = 198

so,

Pacific has 198 luxury staterooms.

Caribbean has 198 + 16 = 214 luxury staterooms.

Mediterranean has 4×198 - 28 = 792 - 28 = 764 luxury staterooms.

Answer:

When a mixed number is written as a decimal, the whole number does not change but the fraction is changed to an equivalent decimal.

For example, if a mixed number is 2 1/4, the whole number is 2 and the fraction is 1/4. When this mixed number is written as a decimal, the whole number remains 2, but the fraction 1/4 is changed to the equivalent decimal 0.25. So the mixed number 2 1/4 is written as 2.25 in decimal form.

The quadratic expression for the curves is written as

The curve opening up y = a(x + 4)² - 7

The curve opening down y = -1/8(x - 4)² + 3

The equation of the quadratic equation is written using the formula

y = a(x - h)² + k

where h and k are points of the vertex v(h, k)

The curve opening up

h = -4 and k = ?

using points C and B

-5 = a(0 + 4)² + k, -5 = 16a + k

1 = a(4 + 4)² + k, 1 = 64a + k

solving simultaneously

-5 = 16a + k

1 = 64a + k

subtraction

-6 = -48a

a = 1/8

solving for k

-5 = 16a + k

-5 = 16 * 1/8 + k

k = -7

substituting the values

y = a(x + 4)² - 7

The curve opening down

A is the vertex (4, 3)

y = a(x - 4)² + 3

using D (0, 1) to solve a

1 = a(0 - 4)² + 3

1 - 3 = 16a

a = -1/8

hence the equation is y = -1/8(x - 4)² + 3

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A vertical shift is an example of a non-rigid transformation this statement is False.

Vertical shift is the transformation of a graph in which all of its points are shifted up or down by a fixed amount. This transformation does not change the shape of the graph but only moves the graph up or down along the vertical axis. It is often used to analyze the effects of changes in parameters on the graph. For example, a vertical shift may be used to show the effect of a change in the slope of a line.

A vertical shift is an example of a rigid transformation because it preserves the angles and distances between the points of the original figure. A rigid transformation is one that preserves the shape and size of the original figure.

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The amount of mulch that he put on each vegetable bed will be 1/9.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

In this situation, the gardener spread 1/3 of a bag of mulch evenly over his 3 equal-sized vegetable beds.

The amount of mulch that he put on each vegetable bed will be:

= 1/3 ÷ 3

= 1/3 × 1/3

= 1/9

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Step-by-step explanation:

hope this helps!:).....

Answer: The perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length and W is the width of the rectangle.

We know that the rectangular school banner has a length of 44 inches and a perimeter of 156 inches. And we can use the formula above to find the width of the rectangular school banner:

P = 2L + 2W = 156 inches

P = 2(44) + 2W = 88 + 2W = 156 inches

So the width of the rectangular school banner is W = 156 inches - 88 inches = 68 inches

Now, we know that the cheerleaders make signs similar to the banner. the length of a sign is 11 inches, we can use the same formula to find the perimeter of the sign.

P = 2L + 2W = 2(11) + 2W

So the perimeter of the sign is P = 22 + 2W inches

Since we don't know the width of the sign (W) we can't find the perimeter of the sign.

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

5/9 x 45  Cross cancel the 9 and 45. 9 goes into 9 once and 9 goes into 45 5 times

5/1 x 5/1 = 25/1 = 25

To find out how much John should sell the games for to make a 146% profit, we can use the following formula:

selling price = cost + (cost x (profit percentage / 100))

We know that the cost is $13.80 and the profit percentage is 146%. So we can plug those values into the formula:

selling price = $13.80 + ($13.80 x (146 / 100))

Solving this equation gives us:

selling price = $13.80 + ($13.80 x 1.46) = $13.80 + $20.108 = $33.908

So, John should sell the games for $33.908 (rounding to the nearest .10, the answer is $33.90)

Out of the options you provided: the closest one is $33.00

I hope this helps :)

The solution is: Correct option is 3: Equally likely and unlikely.

We have,

Equally likely indicates the likelihood that the outcomes of each experiment will occur. For instance, if you roll a fair, six-sided die, there is an equal probability of getting any of the faces (1, 2, 3, 4, 5, or 6). The likelihood of a coin landing on its head (H) or tail (T) is equal (T).

What has equal and unequal likelihood?

Equally likely suggests that the event is fair and that all possible outcomes have an equal chance of happening. If two outcomes are not equally likely to occur, then the event would be unfair and one or more of the events would be more likely to do so.

Given that, P(terriers) is 50%

i.e., P(terriers) = 1/2

So, P(not terriers) = 1 - 1/2 = 1/2

This is an equally likely and unlikely event. i.e., The likeliness and unlikeliness of the event are equal and equal to 50%.

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Answer:28 sq mm

Step-by-step explanation:

Triangle's area: length times the height then divided by 2.

8×7÷2

=56/2

=28

Answer:

y(y-5) =750 squared-feet

Step-by-step explanation:

[tex] {y}^{2} - 5y = 750 \\ 750 - y(y - 5) = 0 \\ (y + 25)(y - 30) = 0[/tex]

Belle's house is approximately 5.83 miles away from Cora's house.

What is a Pythagoras Theorem?

The Pythagorean theorem is a fundamental concept in mathematics, named after the ancient Greek mathematician Pythagoras. The theorem states that in any right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as an equation: [tex]c^2 = a^2 + b^2[/tex], where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

We can use the Pythagorean theorem to solve this problem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

We can consider this problem as two right triangles with Rosa's house being the common point, and therefore the right angle.

Let x be the distance between Belle's house and Cora's house.

So, we can set up the equation as:

x^2 = 3^2 + (5)^2

x = sqrt(3^2 + (5)^2)

x = sqrt(9 + 25)

x = sqrt(34)

x = approximately 5.83 miles.

Hence, Belle's house is approximately 5.83 miles away from Cora's house.

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To find the P value using Excel, you can use the T.TEST function. The T.TEST function calculates the probability of a given test statistic, such as the T-value, assuming that the null hypothesis is true. The function takes several arguments, including the range of values for the sample data, the hypothesized mean of the population, the type of test (two-tailed or one-tailed), and the significance level.

Here is an example of how to use the T.TEST function in Excel:

Enter your sample data into a column in Excel.

In an empty cell, enter the formula =T.TEST(data range, hypothesized mean, type of test, significance level).

Replace "data range" with the range of cells containing your sample data, "hypothesized mean" with the mean of the population, "type of test" with 1 for a one-tailed test or 2 for a two-tailed test, and "significance level" with the level of significance.

Press enter, the P-value will be returned.

For example, if your sample data is in cells A1:A10, the hypothesized mean is 0, the type of test is two-tailed, and the significance level is 0.05, the formula would be =T.TEST(A1:A10, 0, 2, 0.05)

The P-value returned will be the probability that the sample data came from a population with a mean equal to the hypothesized mean, assuming that the null hypothesis is true.