I need help I’m not sure I did this right and need help on the graphing!! And table next to it please :( !

we know that

a greater conveyor belt moves 100 pounds ------------> 5 minutes

so

Applying proportion

1-minute ---------> move 100/5=20 pounds

a smaller conveyor belt moves 100 pounds ------> 9 minutes

so

Applying proportion

1-minute --------> move 100/9 pounds

therefore

If both belts are used

then

1-minute --------> move 20+(100/9)=(180+100)/9=280/9 pounds

Applying proportion

Find out how long it takes to move 100 pounds

Simplify the fraction

45/14

Convert to a mixed number

45/14=42/14+3/14=3 3/14 minutes

Given an expression:

We have to simplify the expression, if it does not result in a real number then the answer is NONE.

Let:

Then,

There is no real number whose power 4 is a negative number.

Thus, the answer is not a real number. The answer is NONE.

we have that

In this problem angle x and angle of 62 degrees are supplementary angles

that means

x+62=180

solve for x

x=180-62

We have two functions for the sales of popcorn:

being B(w) the number of buttered popcorn sold over "w" weeks and C(w) the number of caramel popcorn sold over "w" weeks.

We now have to calculate how much more he would have made after 12 weeks in sales of buttered popcorn than the sales of caramel popcorn.

We can calculate this as the difference of sales of buttered popcorn and the sales of caramel popcorn for w = 12.

Each sale will be the product of the cost per unit (in this case, is $11 for both types) and the number of units sold (B(w) or C(w), depending on the ytpe of popcorn).

Then, we can calculate the difference in sales as:

Answer: he would have made $374 more in sales from buttered popcorn than from caramel popcorn.

The crate's density in pounds per cubic foot = 137.28 lb/ft³

Density is defined as the quantity that shows the relationship between the mass and volume of an object which is measured in kilograms per cubic meter or in pounds per cubic foot.

The density of the given crate of medicine = 2,200 kg / m³

To convert to pounds per cubic foot;

1 kg/m³ = 0.0624 lb/ft³

2,200 kg/m³ = X

Make X the subject of formula;

X = 2,200 × 0.0624/1

X = 137.28 lb/ft³

Therefore, when converter to pounds per cubic foot the density of the crate of the medicine= 137.28 lb/ft³.

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First, from the formula given we solve the equation for D:

Now, substituting the given data:

(a) PD=405 cu in, L=4.7 in, and N=7,

in the above equation we get:

(b) PD=399.4 cu in, L=2 in, and N=6,

in the above equation we get:

Answer:

(a) 3.96 in.

(b) 6.51 in.

Answer:

1 ÷ [tex]\sqrt{n\\}[/tex] = x

Step-by-step explanation:

For the given, "the quotient of 1 and the square of a number", the expression is 1+√n

A sentence qualifies as a mathematical expression if it comprises one or more mathematical operations, at least two numbers, Mathematicians have the ability to multiply, divide, add, and subtract. A mathematical operator, a number or variable, and an expression make up an expression.

The phrase "The quotient of 1 and the square of an integer" is presented.

The dividend and the amount being divided by the divisor are, respectively, referred to as the dividend and the amount being divided by it. The quotient is created by dividing the result.

If n is the number the expression can be written as,

=1+√n

Thus, for the given expression the expression is 1+√n.

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Suppose we have the recursive formula of sequence, [tex]\displaystyle{f(n+1)=0.5f(n)}[/tex]. From this formula, we know that:

[tex]\displaystyle{f(2)=0.5f(1)}\\\\\displaystyle{f(3)=0.5f(2)}\\\\\displaystyle{f(4)=0.5f(3)}\\\\\displaystyle{f(5)=0.5f(4)}[/tex]

Since the first term of sequence is 120. Therefore, [tex]\displaystyle{f(1)=120}[/tex]. Since [tex]\displaystyle{f(4)=0.5f(3)}[/tex] then substitute in [tex]\displaystyle f(5)[/tex]:

[tex]\displaystyle{f(5)=0.5\cdot 0.5f(3)}[/tex]

Then substitute f(3) down to f(1):

[tex]\displaystyle{f(5)=0.5\cdot 0.5 \cdot 0.5 \cdot 0.5 \cdot 120}\\\\\displaystyle{f(5)=(0.5)^4\cdot 120}\\\\\displaystyle{f(5)=7.5}[/tex]

Therefore, f(5) = 7.5

6x - 3y = -30 -------------------------------(1)

3x - 6y = 12 ---------------------------------(2)

Multiply through equation(1) by 3 and then multiply through equation (2) by 6

18x - 9y = - 90 ---------------------------------(3)

18x - 36y = 72 ----------------------------------(4)

subtract equation (4) from equation (3)

Answer:

1/200

Explanation:

Length of the garage in the drawing = 4 centimeters

Length of the garage in real life = 8 meters

The ratio of the lengths = 4 cm : 8m

Divide both sides by 4

1 m =100cm

2m= 2 x 100 =200cm

Converting both to the same unit, we have:

The drawing's scale factor in fraction form is 1/200.

From the calculations below, we can tell that quadrilateral ABCD is not a rectangle because AB is not parallel to CD

We are given that the quadrilateral is ABCD with the vertices as;

A(-6,-2)

B(-4,4)

C(8,1)

D(6,-6)

We are further told that Angle A is a right angle. Thus;

AB must be perpendicular to AD.

Secondly, for ABCD to be a rectangle, AB must be parallel to CD. Thus;

By slope formula, for AB and CD are gotten from the formula;

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope of CD = (-6 - 1)/(6 - 8)

Slope of CD = -7/-2 = 7/2

Slope of AB = (4 - (-2))/(-4 - (-6))

Slope of AB = 6/2

Slope of AB = 3

Since Slope of AB and AC are not equal then ABCD is not a rectangle.

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Given :

1)

Set t=1 we get

Answer:

2.0833

Step-by-step explanation:

2 3/4 + 3 1/2 =6.25

6.25(1/3)=2.0833

The graph that can be used to model the correct amount on the Richter scale is r = log(a/4) + 2.

It should be noted that the magnitude of an earthquake is gotten by using the equation:

r = log(a / t) + d.

where

r = magnitude of an earthquake

a = amplitude

t = time

d = distance.

In this case, the earthquake occurred for 4 seconds and D = 2. We'll substitute the value into the equation and this will be r = log(a/4) + 2.

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Answer:

122

Step-by-step explanation:

43 * (100/25) - 50

43 * 4 - 50

172 - 50

122

Hope this helps! :)

The sum of angles of a triangle is equal to 180 degree.

Determine the value of x, by using angle sum for the triangle.

The value of x is 24

Answer: 0.64 ...........

The probability that it is not yellow candies will be 119/139.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

A bag contains;

Number of red candies = 42

Number of green candies = 45

Number of yellow candies = 20

Number of purple candies = 32

Now,

Total number of candies in a bag = 42 + 45 + 20 + 32

                                                   = 139

And, The number of candies in a bag not contain yellow candy

= 139 - 20

= 119

Thus, The probability that it is not yellow candies will be;

Probability = Number of not yellow candies / Total candies

                = 109 / 139

Therefore, The probability that it is not yellow candies will be 119/139.

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Given:

Initial deposit = $8500

rate of interest = 5% compounded annuallly

time (t) = 6 years

If Ao is invested at an annual interest rate r and compounded semiannually, the amount At after t years is given by the formula:

The compound amount in 6 years:

Simplifying we have:

Answer:

$11431.56

Solution

Part A: The area of the dark shaded region = S1,

where

The radius of the circle is 3 inches.

Part B: The area of the light shaded region = S,

Step-by-step explanation:

:)))))))))))))))))))))

Answer: Yes

Step-by-step explanation:

Yes, the numbers in the table are a function. The equation for the equation would be

y = 2x

Answer:

C -9, -4

E -8, 4

G-4, 0

I-6, -8

B0, 0

D-16, 4

F-2, 9

H0, 7

J9,-2

ok

AC = 7

AD = 6

BC = 18

It must be 12, because the sum of two sides of a triangle is higher than the other side.

And 6 + 5 = 11

AB + AC = 11 + 7 = 18

it is given that the expression is -7.5

the magnitude of -7.5 is,

I-7.5I = 7.5

thus, the answer is option A

(3/5)^3 and (3/5 × 3/5 ×3/5) are the two expressions that represent the volume of the cube having side 3/5.

1.) For the first expression with exponents:

(3/5)to the power of 3 can be written as , where the number 3/5 is called the base, and 3 is the power or exponent of the expression. So (3/5) times 3 .

Where, Side of the cube (a) = 3/5

⇒ (3/5)^3  

⇒ 0.216 cube.units

2.) For the second expression without exponents:

The formula of volume of the cube is given by volume(side) =a*a*a, where a is the length of its sides or edges.

Cube ⇒ ( 3/5 × 3/5 × 3/5)

Cube ⇒  0.216 cube.units

Cube of having side (3/5) = 0.216 cube.units

Hence, (3/5)^3 and (3/5 × 3/5 ×3/5) are the two expressions that represent the volume of the cube having side 3/5 .

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It is given that,

The length of a rectangle is 5 cm more than three times the width.

That is, l=3w+5

Put width, w=12.

Therefore, the length becomes,

l=3(12)+5

l=36+5

l=41 cm.

Hence, the length of the rectangle is 41 cm.

The circumference of the circle has a value of 18.86 units

From the question, we have the following parameters:

Radius, r = 3 units

The circumference of the circle can be calculated using the following circumference formula

C = 2πr

Where

π = 22/7 (a constant)

r = 3

Substitute the known values in the above equation

So, we have the following equation

C = 2 * 22/7 * 3

Evaluate the products

So, we have the following equation

C = 18.86

Hence, the circumference is 18.86 units

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