A carpenter is designing rectangular picture frames to sell at a local craft fair. The frames will be made of wood with a uniform width around the picture, and each frame will have an opening for a 5-inch by 7-inch picture.

Input data

Width = ?

Lenght = 5/6 ft

Area = 8 sq ft

The area of the rectangle can be written as the following equation

To determine the width the equation will be

Width would be 9.6 ft.

Answer:

14 + 64 - 16/23

14 + 64 - 0.69 = 77.31

unless u mean 16/2

14 + 64 - 8 = 70

Step-by-step explanation:

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Answer:

The answer is "\(\frac{\pi a^3}{9}\)".

Step-by-step explanation:

please find the complete question in the attached file.

Let the sphere center be (0,0,0) and then let the intersection diameter lie all along the z-axis.  

So one of the collision plans is the xz-plane the other is the path via an xz-plane angle.

\(\theta = \frac{\pi}{6}\)

All appropriate region could then be indicated in spherical coordinates

\(E= {(\rho, \theta, \phi) : 0 \geq \rho \geq a, 0 \geq \theta \geq \frac{\pi}{6}, 0 \geq \phi \geq \pi }\)

Calculating the volume:

\(\to v(E)=\int \int_{E} \int dV\\\)

            \(=\int_{0}^{\frac{\pi}{6}} \int_{0}^{\pi} \int_{0}^{a} \rho^2 \sin \phi d \rho d \phi d \theta\\\\ =\int_{0}^{\frac{\pi}{6}} d \theta \int_{0}^{\pi} \sin \phi d \int_{0}^{a} \rho^2 d \rho\\\\= [\theta]^{\frac{\pi}{6}}_{0} [-\cos \phi]^{\pi}_{0} [\frac{\rho^3}{3}]^{a}_{0}\\\\= \frac{\pi}{6} [1+1] \frac{a^3}{3}\\\\=\frac{\pi a^3}{9}\)

Hence, compared to the second plant, the first plant produces \(3x + 14\)more things per day.

Production is the process of creating goods or services that can be used or consumed by individuals or other entities. It involves converting raw materials, labor, and capital into finished products or services that are suitable for sale or distribution in the market.

given

We must take the daily production of the second plant away from the daily production of the first plant in order to calculate how many more things are produced daily by the first plant than the second plant.

The first plant's daily output is equal to \(5x + 11.\)

Daily output of the second plant is equal to \(2x - 3.\)

As a result, the two facilities' daily production differences are as follows:

\((5x + 11) - (2x - 3) = 5x + 11 - 2x + 3\)

\(= 3x + 14\)

Hence, compared to the second plant, the first plant produces 3x + 14 more things per day.

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Answer:

Solve the inequality for

x

by finding

a

,

b

, and

c

of the quadratic then applying the quadratic formula.

All real numbers

Interval Notation:

(

−

∞

,

∞

)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Anything that is multiplied greater than 1 will be greater than what the other factor is. You are correct!

Answer:

B, 2 5/6 x 2 5/6

Step-by-step explanation:

This is the only answer that is greater than 2 5/6

The number of squirrels that the biologists predict there will be 2 years after they started counting will be 43 squirrels.

It should be noted that a function is used to show the relationship between the variables.

It should be noted that the function that's given is illustrated as:

n = 40 + 1.5t

In this case, it should be noted that t = 2 years.

Therefore, the number of squirrels that the biologists predict there will be 3 years after they started counting will be:

n = 40 + 1.5t

n = 40 + 1.5(2)

n = 40 + 4

n = 43

Therefore, the number of squirrels that the biologists predict there will be 2 years after they started counting will be 43 squirrels.

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Answer:

208

Step-by-step explanation:

A coin can have 2 total outcomes

A card deck can have 52 total outcomes

Im flipping 2 coins and then drawing a card

2 x 2 x 52 = 208

The perimeter and area of the square are; 24√2 units and 12 units² respectively

Given the coordinates of the midpoints of the four sides of a square are S(-4,11), Q(2,5), U(-4,-1), A (-10,5)

But since we have the midpoints of all the sides, we can assume they're equidistant from one another since the figure is a square.

SQ = √(x₂ - x₁)² + (y₂ - y₁)²

SQ = √(2 - (-4)² + (5 - 11)²

SQ = 6√2

Let's find QU

QU = √(-4 - 2)² + (-1 - 5)²

QU = 6√2

Let's find UA ;

UA = √(-10 - (-4))² - (5 - (-1)²

UA = 6√2

And the distance AS = 6√2

The perimeter of the square = 4 (6√2)

Perimeter = 24√2 units

The area of the square = l²

Area of the square = (6√2)²

Area of square = 12 units²

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Answer:

4-2(16x+8)^1/3=-8

-2(16x+8)^1/3=-12

(16x+8)^1/3=6

16x+8=216

16x=208

x=13

Checking if x=13 is an extraneous solution:

4-2[16(13)+8]^1/3=-8
4-2(208+8]^1/3=-8

4-2(216)^1/3=-8

4-2(6)=-8

4-12=-8

-8=-8

Not an extraneous solution.

Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

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

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The probability that the student chosen at random was male OR got an "A" is 31/58.

To find the probability that the student was male OR got an "A," we need to calculate the probability of each event separately and then add them together.

Let's calculate the probability of the student being male:

Total number of males = 11

Total number of students = 58

Probability of the student being male = Number of males / Total number of students = 11/58

Now, let's calculate the probability of the student getting an "A":

Total number of students who got an "A" = 20

Probability of the student getting an "A" = Number of students who got an "A" / Total number of students = 20/58

To find the probability of the student being male OR getting an "A," we add the two probabilities together:

Probability (Male OR A) = Probability (Male) + Probability (A) = 11/58 + 20/58 = 31/58

Therefore, the probability that the student chosen at random was male OR got an "A" is 31/58.

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Answer:

The answer is 275 students.

Step-by-step explanation:

In 75 students, 33 students attend.

So the ratio is 33/75.

so multiply with 625.

625 x 33/75 = 275

Answer:

The answer is D.

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

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

P will equal zero when the numerator is equal to zero , that is

x - 2 = 0 ( add 2 to both sides )

x = 2

P = 0 when x = 2

Answer:

Infinitely many solutions

Step-by-step explanation:

(1) ---- 6x - 4y = 9

(2)---- 12x - 8y = 18

If you multiply (1) by 2 → 12x - 8y = 18 --- (3)

and then when you compare (2) and (3), you'll find that you still can't find the value of X and Y therefore, there's infinitely many solutions

Answer:

Infinitely Many Solutions!!

Step-by-step explanation:

You need to do elimination method!!

This is because we need to top the equation to cancel out and become negative.  

6x−4y=9

12x−8y=18

You could do 6x and everything multiplied by -2. But 4y can do the same too!!

I rather do 4y x -2!

-12x+8y=-18

12x−8y=18

Everything cancels out!!

0=0

But 0 equals to 0 goes on forever so the answer is infinite solutions!!

**The reasoning behind the two other choices**

No solution would be like -3=0 which is not our case!!

One solution has something that goes into everything evenly!

Answer:

A m-4=12    B 12=4m  C 12-m=4      D m/4=12

Step-by-step explanation:

Please mark me brainliest i only need 1 more

Answer:

35°

Step-by-step explanation:

-5° + 40° = 35°

So the ansWer is 35°

Given:

C = total cost

S = Amount of Sugar

To solve this problem we can think of a standard form of equation for straight line:

m = slope,

b = y-intercept.

hence:

m = $250 per ton

b = $6250 initial rent cost

EQUATION

C = 250S + 6250

GRAPH:

Answer: I believe the answer would be 1/9 ?

Answer:

The unit price is the cost per unit of an item or the cost/price for each item.

1) 4$ per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.

2) 2$ per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = 2x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.

3) 3$ per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.

4) Store B. Because 2 is less than 3 which is less than 4.

Hope it helps, stay safe and tell me if me wrong! :D

Answer: When I took the quiz the answers where-4 and 4

Step-by-step explanation:

I hope this helps.

The graph of the functions f(x) and g(x) on the same coordinates plans is given below.

The solution to f(x) = g(x) is (0.182, 0.182).

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Two functions:

f(x) = -|x - 2| + 2

g(x) = 12x - 2

Now,

The graph is given below.

The intersection of the graph of f(x) and g(x) is the solution to f(x) = g(x).

So,

The solution is (0.182, 0.182).

Thus,

The solution is (0.182, 0.182).

The graph is given below.

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Step-by-step explanation:

Fraction = 280% / 100%

= 280/100 = 14/5 or 2 4/5.

Answer:

2⅘

Step-by-step explanation:

200% = 2

80% = ⅘

2+⅘ = 2⅘

I hope this helps you :)

The missing term in the second pair is YUL.

To determine the relationship between the first two terms, let's analyze the given pattern: AZP : ZAR.

If we look closely, we can observe that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.

So, applying the same pattern to the second pair (TXK), we need to shift each letter one position forward in the alphabet:

T + 1 = U

X + 1 = Y

K + 1 = L

Therefore, the missing term in the second pair is YUL.

The analogy between the pairs is that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.

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Answer:

System 1 has an infinite number of solutions and System 11 has no solution.

Step-by-step explanation:

System 1:

x = y - 3

x - y = -3

2x - 2y = -6

Divide above by 2:

x - y = -3

So the 2 equations are identical

and they have an infinite number of solutions.

System 11:

5x + 2y = -7

15x + 6y = 21

Divide the above by 3:

5x + 2y = 7

Comparing this to the first equation the left sides are the same but right sides are different ( -7 and  7)/

There is no solution to this system.