Mr. Gonzalez is designing a planter box. The width will be 3 feet, and the height will be 2.5 feet. The length will be 1.5 feet. What expression gives the volume of the planter box in cubic feet?

Answer:

B: r =n/2

Step-by-step explanation:

Recondition only mean is that half of what the new is so recondition equals the new over half because recondition is half the price of the new

Answer:

If the base and the negative exponent is in the denominator already

Step-by-step explanation:

Normally, a base with a negative exponent moves to the denominator.

Example: (2^-3 = 1 / (2)^3 = 1/8)

However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.

Example:  2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54

Answer:

30 cubic feet

Step-by-step explanation:

The volume of a box is found by multiplying the area of the base by the height.  The area of the base is found by multiplying the length by the width.  (3 x 5)(2) = 15(2) = 30 cubic feet

Answer:625

Step-by-step explanation: 45 x 310= 625

Answer:

The general formula for this type of problem is F=P[1+(i/n)]^(nt), where F is the Future Worth, P is Present Worth, i is interest, n=1 for annual payments, and t for the number of periods - which is 2. This is solved as: F=100000[1+(0.08/1)]^(1*2)=116640

Step-by-step explanation:

Answer:

138

Step-by-step explanation:

i took the same quiz.

Answer: 1

Step-by-step explanation:

4b-5a

4(4)-5(3)

16-5(3)

16-15

1

Answer:

1

Step-by-step explanation:

4 x 4 - 5 x 3

16 - 15 = 1

EXPLANATION:

To convert degrees to radians, multiply by π / 180 °

since a full circle is 360° or 2π radians.

240°⋅π / 180° radians

Cancel the common factor of 60

4 × π / 3 radians

Combine 4 and π / 3.

4π / 3 radians

HOPE ITS HELPS !!!!!

The coordinates of the points on unit circle at the given angle 240 degrees is\((\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )\)

\(radians= (degrees)\)×\(\frac{\pi }{180}\)

x=rcosθ

y=rsinθ           (where r is the radius of  circle for unit circle r=1)

According to the question

we have

θ = 240 degrees and, r =1

so,  240 degrees = 240×\(\frac{\pi }{180}\)

⇒240 degrees = \(\frac{4\pi }{3}\)   (in radians)

Therefore, the coordinates of the points on unit circle at angle \(\frac{4\pi }{3}\) is calculated as

\(x=(1)cos\frac{4\pi }{3}\)                    (for unit circle r=1)

\(x=\frac{-1}{2}\)

And,

\(y=(1)sin\frac{4\pi }{3}\)                 (for unit circle r=1)

\(y=\frac{-\sqrt{3} }{2}\)

Hence, the coordinates of the point on unit circle at angle 240 degrees is \((\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )\)

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Answer:

Answer is 74 square units

Step-by-step explanation:

I took the quiz.

The recursive function that represents the number of books Ashley has at any time is Number of books(n) = Number of books(n-1) - n, starting at 100.

The recursive function that represents the number of books Ashley has at any time can be defined as follows:

Number of books(n) = Number of books(n-1) - n

Starting point: Number of books(0) = 100

Explanation:

In the recursive function, "n" represents the number of weeks that have passed. Each week, Ashley gives away "n" books. Therefore, the number of books she has at any time is equal to the number of books she had in the previous week (Number of books(n-1)) minus the number of books given away in the current week (n).

The starting point is given as Number of books(0) = 100, which means initially Ashley has 100 books before any weeks have passed.

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The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

We have the 4 functions as shown in the image attached.

The y - intercept is the point where the graph intercepts the y - axis.

Function [1] -

y = 4 + 2x

y - intercept is 4

Function [2] -

y = 5ˣ + 1

y - intercept is 2.

Function [3] -

the y-intercept is 1.

Function [4] -

the y - intercept is at -1.

Therefore, the greatest y-intercept is of function -

f(x) = 2x + 4

and the least y-intercept is of the function shown in graph [4] or function [4].

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Answer:

Carlos puts $3 into his bank account and it grows by 50% each year

f(x)=4^x+1

(The Table)

(The Graph)

Answer:

D .candle burns down 1 cm per hour

Step-by-step explanation:

this is the answer i just got it rigth

Answer:

1 cm burns per hour

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A is impossible.

the absolute value of something is always a positive number. the negative sign before it makes it an always negative number. so, this can never be equal to +5.

B is impossible for the same reasons.

the absolute value is always positive and can never be equal to -5.

C is impossible again for the same reasons.

the negative absolute value of x is always negative. subtracting 2 from that makes the result even more negative. this can never be equal to +5.

D is the only fitting option.

we have two extreme points x = -3 and x = 7.

putting them into the equation gives us for x = -3

-|-3 - 2| = -|-5| = -5 => correct

and for x = 7

-|7 - 2| = -|5| = -5 => correct

The correct answer is -|x - 2| = -5

An equation of the line in point-slope form is y = 6x + 50.

y = y₁ = m(x -x₁) is the equation of a straight line, where m is the slope and (x₁, y₁) are the coordinates at a given point on the line (see slope-intercept form). When you know the slope and another point on the line, the point-slope form of a linear equation is most helpful for locating a point on a line. When two other points are known, it can also be used to locate a point on a line.

Given,

y₂ = 200

y₁ = 230

x₂ = 30

x₁ = 25

Slope = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

Slope = \(\frac{230-200}{30-25}\)

Slope = \(\frac{30}{5}\)

Slope = 6

Equation:

y - y₁ = m(x - x₁)

y - 200 = 6(x - 25)

y - 200 = 6x - 150

y = 6x + 50

An equation of the line in point-slope form is y = 6x + 50.

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Answer:

1

Step-by-step explanation:

AC = 5, ao AB = 2.

This means B = -1+2 = 1.

Therefore, the volume of the composite figure is 105 cubic inches.

In physics and mathematics, volume refers to the amount of space occupied by a three-dimensional object or region. It is a measure of the size of an object in three dimensions, and is typically expressed in cubic units, such as cubic meters, cubic feet, or cubic centimeters. The volume of an object can be calculated using a formula that is specific to the shape of the object. For example, the volume of a cube can be calculated by multiplying the length, width, and height of the cube, while the volume of a sphere can be calculated using the formula 4/3 x π x r^3, where r is the radius of the sphere. The concept of volume is important in many fields, including architecture, engineering, and science, as it is used to calculate the amount of space that an object or substance occupies, and to determine quantities such as mass and density.

Here,

To find the volume of the composite figure, we need to find the volume of each rectangular prism and add them together.

The volume of a rectangular prism is given by the formula V = l*w*h, where l is the length, w is the width, and h is the height.

For Prism A, V = (7)(3)(2) = 42 cubic inches.

For Prism B, V = (3)(3)(7) = 63 cubic inches.

The total volume of the composite figure is the sum of the volumes of the two prisms:

V_total = V_A + V_B

= 42 + 63

= 105 cubic inches

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Answer:

p(f)=5f-200

Step-by-step explanation:

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

The maximum volume of the cylinder is approximately 1257 cubic centimeters.

The volume V of a right circular cylinder with radius r and height h is given by:

V = πr²h

Substituting the given expressions for the radius and height of the cylinder, we get:

V = πx²(800/πx - x)

Simplifying the expression, we get:

V = 800x - πx³

To find the maximum value of V, we need to find the value of x that maximizes V. We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:

dV/dx = 800 - 3πx² = 0

3πx² = 800

x² = 800/3π

x ≈ 6.43

Substituting this value of x back into the expression for V, we get:

V ≈ 1257

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Answer:

simple interest=$97.50.

compound interest= $100.668

Step-by-step explanation:

Given:

Principal (P) = $750

Rate (R) = 6.5% (in decimal form, 0.065)

Time (T) = 2 years

Simple Interest = Principal*Rate*Time

Using the formula, the simple interest is calculated as follows:

Simple Interest = $750*0.065*2 = $97.50

Therefore, the simple interest for $750 with a 6.5% interest rate over 2 years is $97.50.

Again:

Compound Interest = Principal*(1 + Rate)^(Time)-Principal

Using the same values as above, the compound interest can be calculated as follows:

Compound Interest = $750*(1+0.065)^(2)-$750

= $750*1.065^2 -$750

= $750 × 1.134225 - $750

= $850.66875-$750

= $100.668

Therefore, the compound interest for $750 with a 6.5% interest rate over 2 years is $100.668

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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Answer:

where is the practical table pic

Answer: 1:5.

Step-by-step explanation:

Answer:

Domain: \([-2,1)\)

Range: \([0,4]\)

Step-by-step explanation:

Domain

We can see that the piecewise function starts at x=-2, which is included, and ends at x=1, which isn't included. To represent the x-values that lie in between these two endpoints, you would write \([-2,1)\). Brackets show that one endpoint is included while parentheses show that one endpoint isn't included.

Range

Following this logic, the range has its y-values go from 0 to 4 with both endpoints included if you were to trace the function. Thus, your range would be \([0,4]\).

Answer:

  (a)  83°

Step-by-step explanation:

You want the measure of angle 5, given that the adjacent angle 6 has a measure of 97° where the lines cross.

The two angles, 5 and 6, are a linear pair, so are supplementary.

  ∠5 = 180° -∠6

  ∠5 = 180° -97°

  ∠5 = 83°

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Answer:

The monthly payments ≅ $258.335

The total interest of the loan ≅ $1400.095

Step-by-step explanation:

The rule of the monthly payments is

\(M.P=\frac{P(\frac{r}{n})}{1-(1+\frac{r}{n})^{-nt}}\) , where

∵ You borrow ​$11000

∴ P = 11000

∵ It will be for 4 years

∴ t = 4

∵ The rate is 6%

∴ r = 6% = \(\frac{6}{100}\) = 0.06

∵ It is a monthly payment

∴ n = 12

→ Substitute these values in the rule above

∴ \(M.P=\frac{11000(\frac{0.06}{12})}{1-(1+\frac{0.06}{12})^{-12(4)}}\)

→ Use your calculator to find the answer

∴ M.P = 258.3353195

∴ The monthly payments ≅ $258.335

→ The total interest of the loan is the difference between the total

   of the monthly payments and the initial amount

∴ The total interest of the loan = T.M.P - P

∵ The total of the monthly payments = M.P × t × n

∴ The total of the monthly payments = 258.3353195 × 4 × 12

∴ The total of the monthly payments = $12400.09534

∵ The initial amount P = $11000

∴ The total interest of the loan = 12400.09534 - 11000

∴ The total interest of the loan = 1400.095

∴ The total interest of the loan ≅ $1400.095

Answer:

Answer=53,800

Step-by-step explanation:

just add the two zero behind the number

There are 42 cubes needed to fill this prism.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Angie packed same-size cubes into a rectangular prism.

And, Image shows a base of cubes 3 units long, 2 units wide, and with a column of cubes 1 cube wide and 7 cubes tall.

Hence, Number of cubes to fill the prism is,

⇒ 3 × 2 × 7

⇒ 42

Thus, There are 42 cubes needed to fill this prism.

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Complete question is this,

Angie packed same-size cubes into a rectangular prism.

Image shows a base of cubes 3 units long, 2 units wide, and with a column of cubes 1 cube wide and 7 cubes tall. PLEASE HELP ME

What is the number of cubes needed to fill this prism?

The required expression is (x / 5) + 9

Given that we have to build an equation for the statement "9 more than the quotient of x and 5,

So,

This expression represents the quotient of x divided by 5, and then adding 9 to the result.

Therefore,

"9 more than the quotient of x and 5" can be written mathematically as:

(x / 5) + 9

Hence the required expression is (x / 5) + 9

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The amount of money is 4000 was invested at 3%.

Let x be the amount of money invested at 3%.

Then, the amount of money invested at 5% is 6000 - x.

The interest earned on the amount invested at 3% is 0.03x.

The interest earned on the amount invested at 5% is 0.05(6000 - x) = 300 - 0.05x.

The total interest earned is given as $220.

So, we can write the equation:

0.03x + (300 - 0.05x) = 220

Simplifying and solving for x, we get:

0.03x + 300 - 0.05x = 220

-0.02x + 300 = 220

-0.02x = -80

x = 4000

Therefore, $4000 was invested at 3%.

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Answers:

=========================================================

Work Shown:

x = smallest side

y = medium side

z = largest side

x = y-79

z = y+377

x+y+z = perimeter

x+y+z = 3064

(y-79) + (y) + (y+377) = 3064

3y + 298 = 3064

3y = 3064-298

3y = 2766

y = 2766/3

y = 922

x = y-79

x = 922-79

x = 843

z = y+377

z = 922+377

z = 1299

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

Summary:

x = 843, y = 922, z = 1299

Check:

x+y+z = 843+922+1299 = 3064

which matches the given perimeter, so the answer is confirmed.