Which expressions have a value equal to or greater than 13?

A. five-sixths x 13

B. 4 x 13

C. three fourths x 13

D. ten-tenths x 13

A and C
B and C
C and D
B and D

Answer:

subtract y co-ordinates and x-co-ordinates of 2nd point from 1st point respectively and divide them

Step-by-step explanation:

\(\frac{-5-0}{-2-(-3)}\)

\(\frac{-5}{1}\)

-5

No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.

Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

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No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.

Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

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Answer:$6.992

Step-by-step explanation:

205+232=437

437×16=6.992

The total ticket revenue is $6992 if the school plays 205 students to buy tickets and 232 adults to buy tickets all tickets cost 16.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

For the school play 205 students buy tickets and 232 adults buy tickets all tickets cost 16.

Let x be the total ticket revenue.

The value of x can be found as follows:

The linear equation in one variable:

x = 16(205 + 232)

x = 16(437)

x = $6992

Thus, the total ticket revenue is $6992 if the school plays 205 students to buy tickets and 232 adults to buy tickets all tickets cost 16.

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The horizontal distance the ball travelled is 2.73 m.

A projectile is any object that is moving in space under the influence of gravity and its momentum. The horizontal distance covered by a projectile from its point of projection is called range. It can be determined by;

R = U\(\sqrt{\frac{2H}{g} }\)

where u is the initial speed of the object, H is the height of projection and g is the gravitational constant.

So that in the information given, we can determine the range as;

R = U\(\sqrt{\frac{2H}{g} }\)

  = 35\(\sqrt{\frac{2*0.39}{10} }\)

  = 35*0.078

  = 2.73

R = 2.73 m

The horizontal distance the ball has travelled is 2.73 m.

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The value of n, considering the intersecting chords in the circle, is given as follows:

n = 6m.

A chord of a circle is a straight line segment that connects two points on the circle. Specifically, it is a line segment whose endpoints are on the circle. A chord is often denoted by drawing a line segment between the two endpoints, with the segment passing through the interior of the circle.

When two chords intersect each other, then the products of the measures of the segments of the chords are equal.

Considering the two intersecting chords for the circle in this problem, the value of n is obtained as follows:

5n = 15 x 2

5n = 30

n = 30/6

n = 6m.

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Answer: 21.15 ft²

Step-by-step explanation:

We can use the formula for the area of a triangle:

(b×h)/2

In this case, the base is 9 and the height is 4.7.

So, we substitute the variables with the numbers in this problem.

(9 × 4.7)/2

9 × 4.7 = 42.3

42.3/2 = 21.15

So, our final answer is 21.15 ft²

9514 1404 393

Answer:

  s = 2°

Step-by-step explanation:

The triangle sum theorem tells you the sum of angles in a triangle is 180°. This fact can be used to write an equation that can be solved for s.

  s +38° +34s +72° = 180°

  35s = 70° . . . . . . . . . . . . . subtract 110°

  s = 2° . . . . . . . . . . . . . divide by 35

_____

Check

The triangle angle measures are (s+38°) = 40°, 34s = 68°, and 72°. These total 180°, as they should.

Reflecting a point across the x-axis changes the sign of its y-coordinate while keeping the x-coordinate intact. As such, Z' can be rewritten in terms of (x, -y).

If a rectangle shifts downward by five units and rightward by three units, the transformation rule can be expressed as: (x, y) → (x + 3, y - 5).

Conversely, the given equation for this specified action is: (x, y) → (x - 3, y - 4).

Similar but reversed in reflection across the y-axis, where instead it is the x-coordinate that sees its sign changed, given the conditions that the y-coordinate stays constant. Hence, the transformation can be stated as: (x, y) → (-x, y).

The same applies for a mathematical exchange when it comes to reflecting about the x-axis; here the y-coordinate has its signs reversed with no transition in the x-coordinate – simply put, we have as follows: (x, y) → (x, -y).

Finally, observing what occurs when rototating clockwise 270° around the origin reveals each point experiencing an equal shift from said anchor point; permitting us to formalize the related rule accurately as: (x, y) → (y, -x).

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Answer:

x=4200, y=2700

Step-by-step explanation:

let x be first account

y the second

x+y=6900

0.03x+0.08y=342

solve by addition/elimination)

multiply first equation by 0.03

0.03x+0.03y=207  subtract from second

0.03x+0.03y-0.03x-0.08y=207-342

0.05y=135

y=2700, x=4200

Answer:

d²+4a+6 is the answer in ky opinion

Answer:

Option (1)

Step-by-step explanation:

From the graph attached,

Points connecting the graph 'g' are (-5, 4), (-2, 1), (0, -1), (4, -2).

Since, rule to get the points lying on the graph of the inverse of the given function is,

(x, y) → (y, x)

If (x, y) is a point on function 'g' then (y, x) will lie on the inverse of the given function.

By the given rule, points on \(g^{-1}(x)\) will be,

(4, -5), (1, -2), (-1, 0), (-2, 4)

Therefore, value of the inverse function at x = 4 will be,

y = \(g^{-1}(4)\) = -5

Option (1) will be the correct option.

Answer:

A

Step-by-step explanation:

Answer:

B : Theoretical Probability

Explanation:

In probabilitty, experimental probability are based on "what has happened".

• Each of the outcomes are not equally as likely to occur.

Experimental probabilities are derived from the results of experiments or repeated trials.

On the other hand, when all the outcomes are equally as likely to occur, the probability is said to be of the theoretical type.

It is theoretical probability that answers the question on "what could happen".

The correct option is B.

The height of the pile increasing when the pile is 16 feet high is 5/32 ft/min.

We are given dV/dt=10 cubic ft/min and we want to find dh/dt. Therefore, first we need to write a formula relating v and h.

V=pi*r^2*h/3  since d=h at any moment, we know that r=h/2 at any moment and if we substitute h/2 for r, we get

V=pi(h/2)^2*h/3 and if we simplify this,  we get

V=pi*(h^3)/12

Now we need to take the derivative of both sides with respect to t

dV/dt = pi * ( 3 * h^2 ) */12 * dh/dt

= pi * h^2 / 4 * dh/dt, substitute 40 for dV/dt and 16 for h and solve for dh/dt and we get

40 = pi * 16^2/4*dh/dt

dh/dt = 40 * 4 / ( 256 * pi )

= 40/(256*pi) ft/min,

= 10/64

= 5/32 ft/min

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cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.

To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:

cos(tan^(-1)(x)) = 1 / √(1 + x^2)

In this case, x is -2/3. Substituting the value into the identity:

cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)

Now, let's calculate the value:

cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)

                   = 1 / √(13/9)

                   = 1 / (√13/3)

                   = 3 / √13

                   = 3√13 / 13

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Answer:

18.75

Step-by-step explanation:

Just add 2.5 and 16.25 :)

Answer:

Lily must live 18.75 miles away

Step-by-step explanation:

If Lily lives 2.5 miles further from school than Dante then the equation is

16.25+2.5 = x

Add them together and you get 18.75

Answer:

3821057.63 m³

Step-by-step explanation:

volume of sphere : V=(4/3)πr³

here given r is 97 and π is 3.14

volume = (4/3) * 3.14 * 97³

             = 3821057.63 m³

Answer:

Step-by-step explanation:

We know that:

Work:

Hence, the volume of sphere is 3821057.63 m³.

Answer:

b

Step-by-step explanation:

Answer: $548.00

Step-by-step explanation: In order to find out how much interest Malik will earn in 3 years, we need to first calculate the amount of interest earned each year. We can do this by multiplying the initial amount he deposited by the interest rate, which is 7%. So, the amount of interest earned each year is $2,439 * 7% = $169.73.

Since the interest is compounded annually, this means that the amount of interest earned in the first year is added to the initial deposit to form the new balance. This new balance will then earn interest in the second year, and so on.

Therefore, the amount of interest earned in the second year is 7% of the new balance, which is $2,439 + $169.73 = $2,608.73. So, the interest earned in the second year is $2,608.73 * 7% = $182.61.

In the third year, the interest is again compounded, so the new balance is $2,608.73 + $182.61 = $2,791.34. The interest earned in the third year is 7% of this new balance, which is $2,791.34 * 7% = $196.48.

In total, Malik will earn $169.73 + $182.61 + $196.48 = $548.82 in interest over 3 years. To the nearest cent, this is $548.00.

Answer:

9.6 cm

Step-by-step explanation:

12 x .8 = 9.6cm

Answer:

D: Line M is a horizontal like with a slope of zero

Step-by-step explanation:

A vertical line would have the same x-value for coordinates but different y-values. It would also have an undefined slope.

Therefore, we can rule out A and B.

A horizontal line always has different x-values but the same y-value. It would also have a slope of zero.

Therefore, C is wrong and D is our answer.

Let's first find the slope of the line.

We can do this using the slope formula.

m = y₂ - y1 / x₂ - x₁

We take the second y minus the first y over the second x minus the first x.

So we have 9 - 9 / -1 - (-5).

So we have 0 / 4 which is 0.

So the slope of our line is zero.

We can eliminate any choices that say the slope is undefined.

Now, if we have a slope of zero, the line is flat or horizontal.

So we know line M has to be a horizontal or flat line with a slope of zero.

So our answer is D.

The following food-cost problems:

FC ÷ FC % = SP: 2.75 ÷ 25% = 11.

FC ÷ SP = FC %: 3.80 ÷ $15.00 = 25.33%.

SP x FC % = FC: 24.00 x 21% = 5.04.

To complete the food-cost problems, we will apply the given formulas and solve for the missing values.

FC ÷ FC % = SP

Given: FC = 2.75, FC % = 25%

Substituting the values into the formula, we have:

2.75 ÷ 25% = SP

To divide by a percentage, we convert the percentage to a decimal by dividing it by 100:

2.75 ÷ 0.25 = SP

Simplifying the division, we get:

11 = SP

Therefore, the selling price (SP) is 11.

FC ÷ SP = FC %.

Given: FC = 3.80, SP = $15.00

Substituting the values into the formula, we have:

3.80 ÷ $15.00 = FC %

To divide by a dollar amount, we can simply perform the division:

0.2533... = FC %

Therefore, the food cost percentage (FC %) is approximately 25.33%.

SP x FC % = FC

Given: SP = 24.00, FC % = 21%

Substituting the values into the formula, we have:

24.00 x 21% = FC

To multiply by a percentage, we convert the percentage to a decimal by dividing it by 100:

24.00 x 0.21 = FC

Simplifying the multiplication, we get:

5.04 = FC

Therefore, the food cost (FC) is 5.04.

In summary:

2.75 ÷ 25% = 11

3.80 ÷ $15.00 = 25.33%

24.00 x 21% = 5.04

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Answer:

I don't know if this is right but I think it is 32m

Answer:

Hello! answer:

question 30: 128 m2

question 31: 1188 in2

Step-by-step explanation:

Hello just in advance I dont know if you need unuts or not but i believe those are correct if not Im sorry but the answers are 100% correct.

For the first one I found the area of a singular triangle then just multiplued by 4 cause all of those triangles are the same so... triangle area is... base × height ÷ 2 or base × height × 1/2

8 × 8 = 64 64 ÷ 2 = 32 32 × 4 = 128 therefore the area is 128 for the second I just did base × height therefore 36 × 33 = 1188 therefore thats the area hope that helps!

Answer:

\(\Huge \boxed{\boxed{ x = 1}}\)

Step-by-step explanation:

Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.

To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.

Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.

-------------------------------------------------------------------------------------------------------------

Step1: Subtract \(\bold{2x}\) from both sides

Step 2: Subtract 3 from both sides

Step 3: Divide both sides of the equation by 6

So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).

-------------------------------------------------------------------------------------------------------------

Answer:

It is the Square root of 21

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2 + 44^2 = 55^2

x^2 + 1936 = 3025

3025-1936 = 1089

sqrt(1089) = 33

x = 33

Answer:

X=33

Step-by-step explanation:

this is a right traingle so you can use pythagorean theorem

A^2 +B^2 =C^2

A^2 +44^2= 55^2

A^2 + 1936= 3025 subtract 1936 from both sides

A^2= 1089 now square root both sides

A=33

Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

The difference between their yearly incomes is $31,304.

To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:

For the student who drops out of high school:

Yearly Income = Weekly Income x Number of Weeks

= 451 x 52

= 23,452

For someone with a bachelor's degree:

Yearly Income = Weekly Income x Number of Weeks

= 1053 x 52

= 54,756

The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:

Difference = Bachelor's Yearly Income - Student's Yearly Income

= 54,756 - 23,452

= 31,304

Therefore, the difference between their yearly incomes is $31,304.

It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.

Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.

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