Which is a true statement?

Polynomials have the following product: 3x5 + 2x4 + 5x3 + 2x2 - 32x + 14. An algebraic formula with variables is called a polynomial.

A polynomial is a mathematical expression consisting exclusively of additions, subtractions, multiplications, and positive integer powers of variables. It is an expression of coefficients and uncertainty. x2 4x + 7 represents a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that can be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic formula that includes variables and coefficients. Addition, subtraction, multiplication, and non-negative integer exponents are the only operations that can be included in an expression. This type of statement is known as a polynomial.

given

Multiply each combination of terms:

Combine like terms.

3x^5 + 2x^4 + (-7x^3 + 12x^3) + (8x^2 - 6x^2 ) + (-28x - 4x) +14=

3x^5 + 2x^4 + 5x^3 + 2x^2 - 32x + 14.

Polynomials have the following product: 3x5 + 2x4 + 5x3 + 2x2 - 32x + 14. An algebraic formula with variables is called a polynomial.

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Answer:

Step-by-step explanation:

You want to identify the x-intercepts on the graph.

An "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.

The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...

  (-2, 0) and (3, 0)

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Answer:

It will take rob 7 minutes to climb the stairs tomorrow.

Step-by-step explanation:

1000/25=40

Rob climbed 40 stairs per minute

280/40=7

Therefore, it will take rob 7 minutes to climb 280 stairs.

Answer: b

Step-by-step explanation:

Using function concepts, it is found that an appropriate domain for the function is the set of whole numbers.

The equation for the cost of buying m magazines is:

\(c(m) = 45 + 3.75m\)

The input is the number of magazines bought, which is a discrete measure, assuming values of 0, 1, 2,... Thus, an appropriate domain is the set of whole numbers.

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The correct answers are A) 7cm, C) 9cm and D) 12cm

The process of changing a given quantity that is expressed in one unit of measurement to another unit of measurement that is equivalent in value is referred to as conversion of units.

If every 2 cm on a scale drawing is equal to 7 feet in real life, then we can use proportions to find out which lines on the drawing would be greater than 21 feet in real life.

Let x be the length of a line on the scale drawing in centimeters. Then, we can set up the following proportion:

⇒  \(\frac{2cm}{7 feet} = \frac{x cm }{yfeet}\)

where y is the length of the line in real life. Solving for y, we get:

⇒  \(y = \frac{7 feet} {2cm} *x\)  

⇒  \(y = 3.5 x feet\)

If we put x = 2cm (given) then, y = 7 feet

For y = 21 feet, the value of x = 6cm.

Therefore, any line on the scale drawing that is greater than 6cm in length corresponds to a length greater than 21 feet in real life.

So, the lines on the drawing that are greater than 21 feet in real life are:

A) 7cm, C) 9cm, D) 12cm

Therefore, the correct answers are A) 7cm, C) 9cm and D) 12cm

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The correct statement regarding the continuity of the function is given as follows:

All three conditions for continuity are true, so f(x) is continuous.

A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:

\(\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)\)

For this problem, we must look at the turning point at x = 3, hence:

Hence all conditions are satisfied and the correct option is given by the fourth option.

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Answer: The initial amount of syrup is (total volume of container + 2/5) * 5/5.

Since we don't know the total volume of the container we can not give you the value of S in its simplest form, we only have a relation between the initial amount of syrup and the total volume of the container. call the initial amount of syrup S.

We know that the container was 5/9 filled with syrup, so the initial amount of syrup is 5/9 * the total volume of the container.

We also know that Nick had the same amount of water and syrup left.

And he used 2/5 liter more water than the syrup.

So, if the amount of syrup used is s, and the amount of water used is w, we can set up the following equation:

s + w = S

w = s + 2/5

We also know that the container was filled with water, so the amount of water used is equal to the total volume of the container.

So we can set up another equation:

w = total volume of container

Now we have 2 equations with 2 unknowns, we can substitute the second equation into the first equation.

s + (s + 2/5) = S

Combining like terms and solving for s:

2s + 2/5 = S

2s = 5/5S - 2/5

s = 5/5S - 2/5

Now we can substitute this value of s back into the equation w = s + 2/5 and solve for the initial amount of syrup S.

w = s + 2/5

w = (5/5S - 2/5) + 2/5

w = total volume of container

5/5S - 2/5 + 2/5 = total volume of container

5/5S = total volume of container + 2/5

S = (total volume of container + 2/5) * 5/5

Therefore, the initial amount of syrup is (total volume of container + 2/5) * 5/5.

Step-by-step explanation: If possible, can I please get the brainliest? (:

Answer:  C

Step-by-step explanation:

I recognize this as coming from an old 1912 novel published as "A Princess of Mars", by Edgar Rice Burroughs. I read the book as a teenage boy. A 2012 movie, called "John Carter", was based on this same book.

Answer A  - No, because the character (Carter) says, "My muscles, perfectly attuned and accustomed to the force of gravity on Earth". Perfectly attuned is an athlete, not a clumsy person.

Answer B - No, because the character just doesn't sound all that frustrated. The experience is strange and inconvenient, yet he is handling his emotions pretty well for how weird it must be. It is more like he is writing about an amazing experience, not just complaining.

Answer D - No, because he never says that the experience was making him happy. He does not say that he was laughing or smiling or that it reminded him of some pleasant time he had as a boy.

Answer C - Yes. - Creation of vivid imagery. In a novel, the author must paint pictures with their words. Part of how the author does this is by giving you the picture of a man who feels very comfortable with his coordination on Earth, but keeps winding up about 9 feet off the ground without trying. He doesn't just "I kept falling". He tells you in vivid detail - "... landed me sprawling on my face or back ..."

Hope this helps!

Answer:

4,872 miles

Step-by-step explanation:

Step 1:

2,436 : 6

Step 2:

2,436 : 6 = x : 12

Step 3:

6x = 29,232

Answer:

x = 4,872

Hope This Helps :)

Answer: 0.00024414062

Step-by-step explanation:

Answer:

formula 8.334

Step-by-step explanation: formula 8.334 so

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

Answer:

15 shirts

Step-by-step explanation:

Store A charges 12.50 for a custom shirt with 0.40 per each custom character. Store B charges 14.75 for the same shirt but charges 0.25 per each custom character would make the cost from both stores the same

A: 12.5 + 0.40x

B: 14.75 + 0.25x

12.5 + 0.40x = 14.75 + 0.25x

subtract 12.5 from both sides:

12.5 + 0.40x - 12.5 = 14.75 + 0.25x - 12.5

0.40x = 2.25 + 0.25x

subtract 0.25x from both sides:

0.40x - 0.25x = 2.25 + 0.25x - 0.25x

0.15x = 2.25

divide both sides by 0.15:

0.15x/0.15 = 2.25/0.15

x = 15

Answer:

Its D. 3cm

____________

Answer:

D=3

Step-by-step explanation:

Split this figure into 2 parts. Now you have 2 rectangles. One with sides 6 and 12. Other with sides (10 - 6) =4, and a.

Area of one rectangle is 12 × 6 = 72

Area of 2nd rectangle is 4 × a = 4a.

Since we know the total area of figure is 84

that means

72 + 4a = 84

4a = 84 - 72

4a = 12

a = 12 ÷ 4 = 3

a=3

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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You have the following function:

g(x) = 3x - 7

In order to determine th value of x when g(x) = -4, you equal the previous expression to -4 and solve for x, just as follow:

g(x) = 3x - 7 replace g(x) = -4

-4 = 3x - 7 add 7 both sides

-4 + 7 = 3x simplify

3 = 3x divide by 3 both sides

3/3 = x

x = 1

Hence, the anser is x = 1

Answer:

Step-by-step explanation:

To find the diameter of the cylinder, we can use the formula for the volume of a cylinder:

Volume = π * radius^2 * height

Given:

Volume = 20π cm^3

Height = 5 cm

We can rearrange the formula to solve for the radius:

radius^2 = Volume / (π * height)

radius^2 = (20π) / (π * 5)

radius^2 = 4

radius = 2

Now, we can find the diameter by multiplying the radius by 2:

diameter = 2 * radius

diameter = 2 * 2

diameter = 4

Therefore, the diameter of the cylinder is 4 cm.

Answer:

I think the volume would be 490π in^3

Step-by-step explanation:

V = π7^2*10

π*49*10 = 490π

answer-b

explaiation- because the other person said it

Answer: 2/1x

Step-by-step explanation:

you follow the graph from the y intercept to the next point

up 2 over 1

Answer:

2/1 or 2

Step-by-step explanation:

from point (0,2) to (1,4) it goes up 2 and to the left 1 so the rise is 2 and the run is 1

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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1.  The new volume will be 60 cubic feet. 2. Molly will earn $31.25 if she sells all of the dog beds after subtracting the cost of the fabric.

In general, volume refers to the amount of space occupied by an object or substance, measured in three dimensions: length, width, and height. It is a physical quantity that is typically expressed in cubic units, such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³).

1. The volume of the cuboid is calculated as follows:

Volume = length x width x height

Volume = 5 ft x 3 ft x 2 ft

Volume = 30 cubic feet

If we double the height, the new height will be 2 x 2 ft = 4 ft. The new volume can be calculated as:

New Volume = length x width x new height

New Volume = 5 ft x 3 ft x 4 ft

New Volume = 60 cubic feet

Therefore, the new volume will be 60 cubic feet.

2. Step 1: Determine how many dog beds Molly can make with the fabric she bought.

Molly bought 12.5 yards of fabric, and she uses 2.5 yards of fabric for each dog bed. We can use division to find how many dog beds she can make:

12.5 yards / 2.5 yards per dog bed = 5 dog beds

Therefore, Molly can make 5 dog beds with the fabric she bought.

Step 2: Calculate the cost of the fabric for each dog bed.

Molly bought the fabric for $4.50 per yard, and she uses 2.5 yards of fabric for each dog bed. Therefore, the cost of the fabric for each dog bed is:

$4.50 per yard x 2.5 yards per dog bed = $11.25 per dog bed

Step 3: Calculate the revenue from selling one dog bed.

Molly sells each dog bed for $17.50.

Step 4: Calculate the profit from selling one dog bed.

Profit = revenue - cost

Profit = $17.50 - $11.25

Profit = $6.25

Step 5: Calculate the total revenue from selling all of the dog beds.

Molly can make 5 dog beds, and each dog bed sells for $17.50. Therefore, the total revenue is:

5 dog beds x $17.50 per dog bed = $87.50

Step 6: Calculate the total cost of the fabric for all of the dog beds.

Molly uses 2.5 yards of fabric for each dog bed, and she can make 5 dog beds. Therefore, the total cost of the fabric is:

2.5 yards per dog bed x 5 dog beds = 12.5 yards

$4.50 per yard x 12.5 yards = $56.25

Step 7: Calculate the total profit from selling all of the dog beds.

Profit = revenue - cost

Profit = $87.50 - $56.25

Profit = $31.25

Therefore, Molly will earn $31.25 if she sells all of the dog beds after subtracting the cost of the fabric.

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Answer:

x =2                         x = -1

Step-by-step explanation:

|2x - 1| + 3 = 6.

Subtract 3 from each side

|2x - 1| + 3-3 = 6-3

|2x - 1|= 3

An absolute value has two solutions, one positive and one negative

2x-1 =3                   2x -1 = -3

Add 1 to all sides

2x-1+1 =3+1             2x-1+1 = -3+1

2x = 4                      2x =-2

Divide by 2

2x/2 = 4/2                 2x/2 = -2/2

x =2                         x = -1

Steps to solve:

|2x - 1| + 3 = 6

~Subtract 3 to both sides

|2x - 1| = 3

~Since we are working with an absolute value, one answer will be positive and one will be negative.

2x - 1 = 3

~Add 1 to both sides

2x = 4

~Divide 2 to both sides

x = 2

2x - 1 = -3

~Add 1 to both sides

2x = -2

~Divide 2 to both sides

x = -1

Best of Luck!

Answer:

the aswer is 4940

Step-by-step explanation:

6500-24%

=4940

Answer:

4940

Step-by-step explanation:

Find 24% of 6500

6500 * 0.24 = 1560

Then subtract the product from 6500

6500 - 1560 = 4940

The implicit cost of Jack's education is $77,000, which is the amount of foregone income he gave up in order to attend college.

The implicit cost of Jack's education refers to the opportunity cost or the foregone income he gave up in order to attend college. It is a measure of the value of the next best alternative that he had to sacrifice.

First, let's find the total cost of tuition and books. Jack pays $17,000 per year, so the total cost will be 17,000 * 4 = $68,000 over 4 years of college.

Next, let's find the total cost of rent and food. Jack pays $600 per month for rent and $400 per month for food, so the total cost will be 600 + 400 = $1,000 per month. Over 4 years of college, this comes to 1,000 * 12 * 4 = $48,000.

Finally, Jack also pays $125 per month for on-campus parking, so the total cost will be 125 * 12 * 4 = $6,000.

Putting it all together, we can write the equation for the implicit cost of Jack's education as follows:

Implicit Cost = Foregone Income - Total Cost of Tuition, Rent, Food and Parking

Implicit Cost = 45,000 - (68,000 + 48,000 + 6,000)

Implicit Cost = 45,000 - 122,000

Implicit Cost = -77,000

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The vertex of f(x) = -5 - x² - 3x is (-3/2, -17/4).

Here's how to find it:First, we need to know that the vertex of a parabola is (-b/2a, f(-b/2a)), where f(x) is the function in standard form, ax² + bx + c.So, in this case, a = -1, b = -3, and c = -5. Thus,-b/2a = -(-3)/2(-1) = 3/2f(-b/2a) = -5 - (3/2)² - 3(3/2) = -5 - 9/4 - 9/2 = -17/4.

Therefore, the vertex of f(x) = -5 - x² - 3x is (-3/2, -17/4). Note that the minus sign in front of x² means the parabola opens downwards, so the vertex is the highest point of the graph.

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Answer:

y = 37

Step-by-step explanation:

Since we know all the terms will equal 180°, we can set up the following equation to solve for y:

y + 29 + 40 + 2y = 180

3y + 69 = 180

3y = 111

y = 37

Answer:

WILL GIVE BRAINLIEST 60 POINTS Given that figure ABCD is a dilation of figure KLMN, find the missing values:

(Note that values are slightly different

Answer: The investment that was put in the account is 6268 at 14%, while the amount that is invested in the stock is 5568 at 11%.

Step-by-step explanation:

Let the amount that is put into the account is x, while the amount that is invested in the stock market is y. Given the investor puts $700 more in the first account than in the stock fund, therefore, the equation can be written as,

x-y=700

x=700+y

Also,  at the end of the year the total interest from the two investments was $1490. Therefore, we can write,

.14x+.11y=1490

Substitute the value of x from the above,

.14(700+y)+.11y=1490

y=5568

substitute the value of y in the first equation,

x-5568=700

x=6268

The investment that was put in the account is 6268 at 14%, while the amount that is invested in the stock is 5568 at 11%.

Answer:

u= 55/17

Step-by-step explanation:

Answer:

Step-by-step explanation:

u/11=5/17 so cross multiplication, 17u=5*11, 17u=55, so u =55/17

The asymptotes of the reciprocal function are x = 3 and y = 4. Also, the domain is x < 3 or x > 3 and the range is y < 4 or y > 4

The function is given as:

f(x) = -2[1/0.5(x -3)] + 4

A reciprocal function is generally represented as:

f(x) = a[1/(x -c)] + k

So, we have:

a = -2

c = -3 * 0.5

c = -1.5

k = 4

d = 0

Hence, the values of a, c, d and k are -2, -1.5, 0 and 4

We have:

f(x) = -2[1/0.5(x -3)] + 4

Set the radical to 0

y = 0 + 4

Evaluate

y = 4

Set the denominator to 0

x - 3 = 0

Evaluate

x = 3

Hence, the asymptotes are x = 3 and y = 4

See attachment for the graph of the function f(x) = -2[1/0.5(x -3)] + 4

The table of values is

x         y

-4        4.6

-2      4.8

2        8

4        0

From the graph of the function, the domain is x < 3 or x > 3 and the range is y < 4 or y > 4

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