What is the reciprocal of -2/3
A. -3/2
B. -2/3
C. 1/3
D. 1/2​

The length of the diagonal of a square with a perimeter of 56 is 14√2.

A diagonal is the longest line that divides a plane shape into two equal parts.

To calculate the length of the diagonal of the square, first we need to find the length of the square using the perimeter formula.

Formula:

Where:

From the question,

Given:

Substitute the value into equation 1 and solve for a

Finally to find the length of the diagonal of the square, we use the formula below

Where:

Substitute into equation 2

Hence, the length of the diagonal is 14√2.

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Answer:

qfewwqeffwqfefewqwqreg

Step-by-step explanation:

Answer:

There are multiple possibilities. One is there are 12 boys, and 16 girls. 12+16= 28 which is between 20 and 30. That would be 12:16, which can be simplified to 3:4. There is also 9 boys, and 12 girls. that would be 9:12, which can be simplified to 3:4. Also, 9 + 12 = 21, which is between 20 and 30.

The length in standard notation is 2.17 + 8 = 10.17 ft

A standard notation is a form of writing a given number, an equation, or an expression in a form that follows certain rules.

For example 9.5 billions years can be represented as follows;

9,500,000,000 years.

Therefore,  let's write 8 ft and 26 inches in standard form.

12 inches = 1 ft

26 inches = ?

cross multiply

length(ft) = 26 / 12

length(ft) = 2.16666666667

length(ft) = 2.17 ft

Therefore, the length in standard notation is 2.17 + 8 = 10.17 ft

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Answer:

The area of the shaded region is \(96 ft^{2}\)

Step-by-step explanation:

hope this helps

The area of the shaded region is equal to the area of the three squares minus the area of the three triangles

Answer

approximately 0.0067

Step-by-step explanation:

If you multiply 0.0067 with 16,500 you get about 110.55 and the more you keep going with the 6, the closer it gets to 110$.

Answer:

D(-9,7)

Step-by-step explanation:

Multiplying Exq 2 by 2,  2x+4y=10-(exq 3)

Subtracting 1 from 3,

2x+4y-2x-3y= 10-3

y=7

Substitue y=7 in 1,

2x+3(7)=3

2x= 3-21

2x=-18

x=-9

x=-9 and y =7

Answer:

Step-by-step explanation:

Go to algebra calculator it will show the answer.

Answer:

(x-1) (x+8)

Step-by-step explanation:

If you factor this question out correctly, you would get the answer above.

Answer:

12.625 kilograms for each box

Step-by-step explanation:

6+5+3+2=16 then add 133+69=202 then u divided 202 divided by 16 then u get 12.625 kilograms for each box

The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.

The expected value for the amount of money made selling all of the candy in one bag can be found by;

Expected value = mean number of candy bars per bag x price per candy bar

Expected value = 12 x $1.25 = $15

Formula for the standard deviation of a product of random variables:

\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)

where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.

X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:

E(Y²) = $1.25² = $1.5625

E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148

Cov (X,Y) = 0 (because X and Y are independent)

Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:

\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)

SD = √(592)

SD ≈ $24.33

Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

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Answer:

C

Step-by-step explanation:

I think, the formatting is a bit weird and I don't see an A option, but 52 and 212 are not mixed numbers, but 2.3 can be written as 2 3/10 and etc so it is!

Answer:

32 at 180

Step-by-step explanation:

Jamie would pay $720 in interest in 4 years

The amount of interest he would have to pay = amount borrowed x interest rate x time

Amount borrowed = cost of the TV - amount put down

$1250 - $250 = $1000

Interest rate = 18%

Time = 4 years

Interest = 1000 x 0.18 x 4 = $720

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Interest is indeed the loan cost, in which the borrower pays this same lender a fee for the loan. Income is either simple or compounded, typically expressed in percentage. In this, the interest is $720, that's calculation can be defined as follows:

Given:

Using Formula:

\(\to \bold{\text{Interest =amount borrowed}}\times \bold{\text{interest rate}}\times \bold{\text{time}}\\\\\to \bold{\text{Borrowed amount = Television cost}} - \bold{\text{amount proclaimed}}\)

Calculating Borrowed amount:

 \(\text{} =\$1250 - \$250 =\$1000\)

 Calculating Interest:

\(\bold{= 1000 \times 18\% \times 4} \\\\\bold{= 1000 \times \frac{18}{100} \times 4} \\\\\bold{= 10 \times 18 \times 4} \\\\\bold{=\$ 720}\)

Therefore, In 4 years Jamie would pay $720 as interest.

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The total amount the team needs to raise is $1446.

An algebraic expression is an equation which have a variation whose value is to be determined.

In the given question, the total number of members of the team is 6.

Then;

travel fees, x = $130

each member's entry fee, y = $25.50                  

food, z = $85.50

Thus,

total amount needed = 6(x + y + z)

                              = 6(130 + 25.50 + 85.5)

                              = 6(241)

                              = 1446

The total amount needed to be raised by the team is $1446.0

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Area of sector would be,

⇒ Area of sector = 102.6 feet squared

We have to given that,

Radius of circle = 14 ft

Angle θ = 60°

Now, We know that,

Area of sector = [θ/360]πr²

Where, r is radius of circle.

Hence, We can substitute all the values, we get;

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared

Thus, Area of sector would be,

⇒ Area of sector = 102.6 feet squared

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Answer:

Yes

Step-by-step explanation:

It is possible to draw more than one triangle has the side length and angle measures as given. Depending on which end of the line you draw the angles, and whether they are above or below the line, four triangles are possible.

The correct equation to representing the temperature y, in degrees Fahrenheit, at x hours after sunset will be;

⇒ y = - 4°x + 0°

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

At 2 hours before sunset, the temperature is 0°F.

And,  At 2 hours after sunset, the temperature is −4°F.

Now,

Let the temperature in degrees Fahrenheit = y

So, We can formulate;

⇒ y = - 4°x + 0°

Thus, The correct equation to representing the temperature y, in degrees Fahrenheit, at x hours after sunset will be;

⇒ y = - 4°x + 0°

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The mixture must be heated an amount of 23 °F to reach a temperature of 132 °F.

Temperature is the measure of how "hot" a system is. Physically speaking, temperature is closely related to atomic and molecular motion within a system. In this problem we find a mixture that must be at a certain temperature, higher than its real one.

Therefore, the amount required to increase the temperature of the mixture is defined by following subtraction:

ΔT = R - r

Where:

If we know that r = 109 °F and R = 132 °F, then the temperature difference is:

ΔT = 132 °F - 109 °F

ΔT = 23 °F

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So, the equation of the axis of the segment AB is (A) y = 1/2 - x/2.

What is slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

The slope of the line passing through points A and B can be calculated as follows:

slope = (change in y) / (change in x) = (1-0) / (1-0) = 1/1 = 1

The equation of a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

To find the y-intercept, we can use point A (0,0) and substitute the slope value.

y = mx + b

0 = 1(0) + b

b = 0

Therefore, the equation of the line passing through points A and B is:

y = 1x + 0

Simplifying, we get:

y = x

So, the answer is (A) y = 1/2 - x/2. However, this is not one of the given answer choices. We can also write the equation in point-slope form as y - y1 = m(x - x1) using point A, which gives:

y - 0 = 1(x - 0)

y = x

This confirms our earlier answer.

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Answer:

because you have to distrubute the 2 to the letters inside the () or else youll get a diff answer thats wrong

Step-by-step explanation:

Answer:

for Q5)1.88m and Q6)5.62

Step-by-step explanation:

Q5)

all you have to add the radius to find out the diameter then times with 3.14

Q6)

1.8 x 3.14

The percentage of our new facility's seating is full will be 76%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Initial value - Final value] / Initial value x 100

Our new training room can seat 150 employees.

If 6 tables consisting of 6 chairs are now taken.

Then the number of occupied seats by tables will be

⇒ 6 x 6

⇒ 36

Then the percentage of our new facility's seating is full will be

P = [(150 - 36) / 150]  x 100

P = (114/150) x 100

P = 0.76 x 100

P = 76%

The percentage of our new facility's seating is full will be 76%.

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Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:

See explanation

Step-by-step explanation:

It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

The photographer should set the tripod at an angle of approximately 75.96 degrees to get a picture of the rocket at its maximum altitude.

We have,

We can use trigonometry to solve this problem.

          C

        /   \

       /     \

      /θ     \

     /         \

    /           \

   A-------------B

          50 ft

In this diagram, A represents the launch pad, B represents the maximum altitude of the rocket, C represents the position of the photographer, and θ represents the angle at which the tripod should be set.

We want to find θ.

First, we can find the height of the triangle ABC using the Pythagorean theorem:

AB² = AC² + BC²

200² = AC² + 50²

AC² = 200² - 50²

AC = √(200² - 50²)

AC = 190.526 ft

Next, we can use the tangent function to find θ:

tan(θ) = opposite/adjacent = AB/BC = 200/50 = 4

Taking the arctangent of both sides, we get:

θ = \(tan^{-1}(4)\)

θ = 75.96 degrees

Therefore,

The photographer should set the tripod at an angle of approximately 75.96 degrees to get a picture of the rocket at its maximum altitude.

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Answer:

Let's go step-by-step ⇒

\(\frac{10x + 4}{7} = 8\)

= \((\frac{7}{1})\frac{10x+4}{7} = \frac{8}{1}(\frac{7}{1})\)

= \(10x+4=56\)

= \(10x = 52\)

= \(x = 5.2\)

Your answer is x = 5.2

I hope this helps!

- sincerelynini

Answer:

10- 4x

Step-by-step explanation:

decreased = subtract

times = multiply

Answer:

15.4

Step-by-step explanation:

15.39 is closer to 15.40 or 15.4 then 15.30. Thus, the answer here is 15.4.