Which is the correct calculation for the volume of the prism? A prism has a length of 6 units, height of 7 units, and width of 4 units. 6 + 7 + 4 = 17 Units cubed 6(4) + 7 = 31 Units cubed 6(4) = 24 Units cubed 6(7)(4) = 168 Units cubed Mark this and return

Answer:

6.5

Step-by-step explanation:

0.88/13.50= x/100

Answer:

Inga will have to sell $12,533 to earn more in commission than in salary.

Step-by-step explanation:

As the commission is the percentage of sales amount so, need to calculate the minimum sales value required.

Igna's salary = $375

Commission rate = 3%

Sale to earn more than salary = $376 / 3% = $12,533.33

Igna has to make a minimum sale of $12,533 per week in order to earn more commission than her salary.

Step-by-step explanation:

slope=m=-4

equation-y=mx+c

equation-y=-4x+c

input y and x to find c

x=-1

y=-1

-1=-4(-1)+c

-5=c

therefore equation is

y=-4x-5

Answer:

\(P(x)=x^2+x-6\)

Step-by-step explanation:

Quadratic Polynomial

Assume we have a polynomial factored as:

P(x)=a(x-m)(x-n)

Where m and n are the zeros of P(x).

Operating:

\(P(x)=a(x^2-(m+n)x+mn)\)

Note the coefficient of x is the negative sum of the zeros and the independent term is the product of the zeros.

If we are given the zeros m=-3 and n=2, then:

\(P(x)=a(x^2-(-3+2)x+(-3)(2))\)

\(P(x)=a(x^2+x-6)\)

We can choose any value for a, for example, a=2:

\(P(x)=2x^2+2x-12\)

For a=1:

\(P(x)=x^2+x-6\)

Answer:

The shadow of the pole is 1.2 feet long

Step-by-step explanation:

A little girl standing next to a telephone pole at 10 AM.

From the above question

Height of the girl = 4'6" tall = 4 feet and 6 inches tall

We convert to feet

= 12 inches = 1 foot

6 inches = x

Cross Multiply

12 × x = 6 × 1

x = 6/12 = 1/2 = 0.5 feet

Hence, the total height of the girl =

4 feet + 0.5 feet = 4.5 feet

The height of the telephone pole = 40 feet high.

The shadow of the telephone pole

= 8' 32 foot shadow

= 8 feet, 32 inches

We convert the inches to feet

12 inches = 1 foot

32 inches = x

Cross Multiply

12 × x = 32 × 1

x = 32/12 = 8/3 = 2.67 feet

Total length of the pole = 8 feet+ 2.67 feet = 10.67 feet

how long is a little girl shadow?

This is calculated using proportion

Shadow/Height

Shadow of the girl = x

Hence:

Shadow of the girl/Height of the girl = Shadow of the pole/Height of the pole

x/4.5 feet = 10.67 feet/40 feet

Cross Multiply

40 × x= 4.5 × 10.67

x = 4.5 × 10.67/40

x = 1.200375 feet

Approximately = 1.2 feet

Hence, the shadow of the pole is 1.2 feet long

The required solution in mixed form is,

⇒ 1 1/12

We have to given that,

To change the fraction 13/12 into mixed number.

We know that,

Mixed fraction is written as,

a b/c

Where, a, b  and c are whole number.

Here, Fraction is,

13 / 12

After divide,

1 1/12

Therefore, The required solution in mixed form is,

⇒ 1 1/12

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

Answer:

n < - 3 or n > - 2

Step-by-step explanation:

Inequalities of the type | x | > a , have solutions of the form

x < - a or x > a

Then

2n + 5 < - 1 or 2n + 5 > 1

Solve both inequalities

2n + 5 < - 1 ( subtract 5 from both sides )

2n < - 6 ( divide both sides by 2 )

n < - 3

OR

2n + 5 > 1 ( subtract 5 from both sides )

2n > - 4 ( divide both sides by 2 )

n > - 2

Solution is n < - 3 or n > - 2

There are 12 possible functions that satisfy the given conditions.

Since there are 5 possible outputs for each of the three inputs, there are a total of 5^3 = 125 possible functions that can be defined. However, we need to consider the condition that f(1) < f(2) < f(3).

Without loss of generality, we can assume that f(1) = 1. Then, f(2) can be any integer from 2 to 5, and f(3) can be any integer from f(2)+1 to 5. Therefore, there are 4 choices for f(2) and 3 choices for f(3), giving a total of 4*3 = 12 possible functions that satisfy the condition.

To know more about functions:

https://brainly.com/question/30780679

#SPJ4

Given x⁵ y⁶ z⁸ - x¹⁰ y⁷ z¹⁴ - x¹⁵ y¹² z⁹ the polynomial, the greatest common monomial factor is x⁵ y⁶ z⁸

Given x⁵ y⁶ z⁸ - x¹⁰ y⁷ z¹⁴ - x¹⁵ y¹² z⁹

To find the greatest common monomial factor for the given polynomial, we will need to factorize the expressions common to all parts of the polynomial.

Let's factorize the polynomial:

x⁵ y⁶ z⁸ - x¹⁰ y⁷ z¹⁴ - x¹⁵ y¹² z⁹ =  x⁵ y⁶ z⁸(1 - x⁵y²z⁶ - x¹⁰y⁶z)

The result of the factorization gives  x⁵ y⁶ z⁸ outside the parenthesis. This is the value common to all sides of the given polynomial.

Therefore, the greatest common monomial factor for the polynomial is x⁵ y⁶ z⁸. Option D is the answer

Learn more about greatest common monomial factor on:

https://brainly.com/question/22711729

#SPJ1

To find two numbers whose sum is 11 and whose product is maximum, we can use a mathematical approach.

Let's denote the two numbers as x and 11 - x, where x represents the first number. The sum of these numbers is 11, so we can write the equation x + (11 - x) = 11. Simplifying this equation gives us 2x = 11, and solving for x results in x = 11/2 or 5.5. Therefore, the two numbers are 5.5 and 5.5.

To explain this answer, we can consider the properties of quadratic functions. When we multiply two numbers, their product is maximized when the numbers are equal. By representing one number as x and the other as 11 - x, we ensure that their sum is 11. We then set up an equation using the sum constraint and solve for x. In this case, we find that x = 5.5, indicating that both numbers are 5.5. As a result, their product is maximized at 30.25.

To learn more about product click here: brainly.com/question/31815585

#SPJ11

Answer: In decimal form, it's 12.8, or improper fraction 64/5, or mixed number 12 4/5

Step-by-step explanation:

(2 2/3)*(4 4/5)

convert the improper fraction into a mixed number: 2*3+2/3* 4 4/5

calculate the product: 6+2/3*4 4/5

convert 4 4/5

64/5= 12 4/5

Hope this helps!

The economic order quantity is approximately 355 units, which corresponds to option D) 355 units.

To find the economic order quantity (EOQ), we can use the following formula:

EOQ = sqrt((2 * Annual Demand * Fixed Ordering Cost) / Carrying Cost per Unit)

Given information:

Annual Demand = 3,000 units

Fixed Ordering Cost = $30

Carrying Cost per Unit = $1.43

Substituting the values into the formula:

EOQ = sqrt((2 * 3,000 * 30) / 1.43)

EOQ = sqrt(180,000 / 1.43)

EOQ = sqrt(125,874.125)

EOQ ≈ 354.91

Rounding the EOQ to the nearest whole number, we get:

EOQ ≈ 355 units

Therefore, the economic order quantity is approximately 355 units, which corresponds to option D) 355 units.

Learn more about statistics here:

https://brainly.com/question/29765147

#SPJ11

Answer:

m=\(\frac{23}{3}\) simplest form if you need it as a decimal its m=7.6

Step-by-step explanation:

Answer:

(8, 7) is the closest point to the x axis

Step-by-step explanation:

Look at the Y coordinate for each of the points and figure out how far each of them are away from the x axis. Then select the one that is the closest.

Answer:

(8,7)

Step-by-step explanation:

Got it right on the quiz in Edge 2020:)

The equation Hx = c is inconsistent for some c in Rn, then the equation Hx = 0 has a nontrivial solution, and the null space of H is nonempty.

If Hx = c for some c in Rn is not consistent, it means that there is no solution x that satisfies this equation for the given value of c. This could happen if the vector c is not in the column space of the matrix H.

Now, let's consider the equation Hx = 0. This equation is known as the homogeneous equation associated with the matrix H. If the matrix H is inconsistent for some c in Rn, it means that the column space of H does not contain the vector c. Since the homogeneous equation Hx = 0 is a special case of the equation Hx = c, it follows that the column space of H also does not contain the zero vector.

In other words, the homogeneous equation Hx = 0 has a nontrivial solution, meaning there exists at least one vector x ≠ 0 that satisfies this equation. This solution is known as the null space or kernel of the matrix H. Therefore, A nontrivial solution to the equation Hx = 0 exists, and the null space of H is not empty if the equation Hx = c is inconsistent for some c in Rn.

for such more question on inconsistent

https://brainly.com/question/26523945

#SPJ4

Answer:

a) 13/20 and 0.65

b) $13

c) $33

d) $455

e) $3.3

f) $29.7

g)$339.5

Step-by-step explanation:

Each hoodie costs the trader $20 and he intends to sell it at a Percentage markup of 65%

a) Write a percentage Markup value as a

I) Fraction

Percentage Markup = 65%

65% = 65/100 = 13/20

II) Decimal

= 65% = 65/100 = 0.65

b) Calculate the value of Markup of each hoodie

This is calculated as:

65% × Cost price

= 65% × $20

0.65 × $20 = $13

c) What price would the hoodies be?

Cost price of hoodie = $20

Percentage Markup = 65%

The selling price = x

Percentage Markup = Selling price - Cost price/Cost price

65% = x - $20/$20

Cross Multiply

0.65 × $20 = x - $20

13 = x - $20

x = $20 + 13

x = $33

Therefore, the selling price = $33

d) If the seller sells 35 hoodies on her first day, what is her profit.

Profit = Selling price - Cost price

Profit = $33 × 35 hoodies - $20 × 35 hoodies

Profit = $1155 - $700

Profit = $455

We are told that to improve sales, the seller gives a discount of 10% on selling price

Hence:

Selling price = $33

e) What is the discount amount for each hoodie

Discount Amount = % Discount × Selling price

Discount Amount = 10% × $33

= $3.3

f) What is the new selling price =

Old selling price - Discount amount

= $33 - $3.3

= $29.7

g) What profit does the seller make on each hoodie after the 10% discount for 35 hoodies

Profit = Selling price - Cost price

Profit = $29.7 × 35 hoodies - $20 × 35 hoodies

Profit = $1039.5 − $700

= $339.5

Answer:

62.in.2

Step-by-step explanation:

4*8 = 32

(8-4) * (10-4-1.5) = 18

8*1.5 = 12

32+18+12 = 62

EXPLANATION

We can affirm that the length of the adjacent leg is 5 units and the length of the hypotenuse is 8 units.

As given, the length of the third side is 6.245 units.

Now, computing sin A give us the following expression:

The solution is 1249/1600

It can be concluded that Mathematics can be used in many different kinds of task.

Mathematics covers a very broad range of field when it comes to application and usage. Task in several fields such as medicine , Architecture, Biology , Agriculture and so on make use of Mathematics at different capacity.

Graphing of data, Creating drawing , Making calculation and drawing inference are a few usage of mathematics in our daily tasks.

Therefore, Mathematics can be used in different kinds of tasks.

Learn more on Mathematics: https://brainly.com/question/1859113

#SPJ1

Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9

a)  The volume of paint left in the can is:

.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3

b)  the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).

(a) To convert gallons to cubic meters, we need to know the conversion factor between the two units. One U.S. gallon is equal to 0.00378541 cubic meters. Therefore, the volume of paint left in the can is:

0.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3

(b) We can use the formula for the volume of a rectangular solid to find the volume of wet paint needed to coat the wall evenly:

Volume = area * thickness

We want to solve for the thickness, so we rearrange the formula to get:

Thickness = Volume / area

The volume of wet paint needed is equal to the volume of dry paint needed since they both occupy the same space when the paint dries. Therefore, the volume of wet paint needed is:

0.003321 m^3

The area of the wall is given as:

13.7 m^2

So the thickness of the layer of wet paint is:

0.003321 m^3 / 13.7 m^2 = 0.000242 m

Therefore, the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).

Learn more about meters here:

https://brainly.com/question/29367164

#SPJ11

Answer:

22π

Step-by-step explanation:

C = 2πR

C = 2π(11)

C = 22π cm

Appraisal is defined as the process by which people evaluate the events, situations, or occurrences that lead to their having emotions.

Appraisal refers to the cognitive process through which individuals assess and evaluate the various events, situations, or occurrences that trigger emotional responses within them. It involves the interpretation and analysis of the meaning and significance of these events, which ultimately influences the emotional experience and response. During the appraisal process, individuals assess several key factors, such as the relevance of the event to their goals, the implications and consequences of the event, and the personal significance it holds for them. They also evaluate their ability to cope with or manage the event and consider the potential for future similar events. The appraisal process is subjective and influenced by individual beliefs, values, and previous experiences. Different people may appraise the same event differently, leading to variations in emotional responses.

Learn more about events here:

https://brainly.com/question/30169088

#SPJ11

Answer:

Prepare. You dread public speaking because you don't know what to say.

Psych yourself. ...

Know your audience. ...

Be an expert on your topic. ...

Visualize. ...

Conduct an ocular inspection. ...

Read, watch, and listen to good speakers.

Step-by-step explanation:

To scope a speech you need to narrow dow. what you are talking about into the relevant topic. A easy way to effectivly scope your speech is to ask yourself "what information do I want my audience to know at the end of my speech." Once you've answered his for yourself, use it as your focal point for your speech. Keep what you're talking about relevant to the purpose and thesis of your speech. And make sure to use anything superfluous or extraneous because it will broaden your scope and take the speech away from the ultimate goal.

Answer:

y-6=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Para resolver este problema, necesitamos usar la fórmula de interés compuesto1 para el plan B y la fórmula de interés simple para el plan A.

Para el plan A, Sam aumentará su saldo en $500 cada año, así que después de 5 años tendrá:

$5000 + 5 x $500 = $7500

Para el plan B, Sam aumentará su saldo en un 10% cada año, así que después de 5 años tendrá:

$5000 x (1 + 0.1)^5 = $8052.55

El mejor plan para ahorrar más dinero es el plan B porque le dará a Sam un saldo mayor después de 5 años que el plan A. Esto se debe a que el interés compuesto hace que el saldo crezca más rápido que el interés simple.

Espero haber respondido a tu pregunta.

Answer:

The area of the irregular object is 9 units.

the antiderivative of the function f(x) = 2 csc(x) cot(x) sec(x) tan(x) is F(x) = 2x + C.

To find the antiderivative F(x) of the function f(x) = 2 csc(x) cot(x) sec(x) tan(x), we can simplify the expression and integrate each term individually.

We know that csc(x) = 1/sin(x), cot(x) = 1/tan(x), sec(x) = 1/cos(x), and tan(x) = sin(x)/cos(x).

Substituting these values into the expression:

f(x) = 2 * (1/sin(x)) * (1/tan(x)) * (1/cos(x)) * (sin(x)/cos(x))

= 2 * (1/sin(x)) * (1/(sin(x)/cos(x))) * (sin(x)/cos(x)) * (sin(x)/cos(x))

= 2 * (1/sin(x)) * (cos(x)/sin(x)) * (sin(x)/cos(x)) * (sin(x)/cos(x))

= 2 * 1

= 2

The antiderivative of a constant function is simply the constant multiplied by x. Therefore:

F(x) = 2x + C

where C represents the constant of the antiderivative.

to know more about function visit:

brainly.com/question/30721594

#SPJ11

Answer:

12

Step-by-step explanation:

Type Into Calculator:

SAT-EDIT-TYPE IN X VALUES AND Y VALUES (FROM ORDERED PAIR)-STAT-CALC-4-ENTER