.
-x^4+25x^2 factor completely.

Answer:

100 ft

Step-by-step explanation:

1 yd = 3 ft

Gena: 12 yd= 36 ft

Alicia: 10 yd and 4 ft= 34 ft

Lyona: about 10 yd= 30 ft

36 + 34 + 30 = 100

Answer:

To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.

To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.

Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.

We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds

Step-by-step explanation:

The value of the inequality equation is x ≤ 7

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

4x ≤ 28   be equation (1)

Now , on simplifying the equation , we get

Divide by 4 on both sides of the inequality equation , we get

x ≤ 7

Therefore , the value of x is less than or equal to 7

All the numbers less than or equal to 7 satisfies the condition for x

The value of the equation x ≤ 7 is shown in the graph below

Hence , The value of the inequality equation is x ≤ 7

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0 because anything below sea level will be in the negatives and anything above will be and positive number higher than 0 :D

Hope this helped

Answer:

C. 846 in.^2

Step-by-step explanation:

Look at the net.

There is one rectangle that is (21 + 3 + 21 + 3) inches long. Its length is 48 inches long. Its width is 15 inches.

There there are two small rectangles. Both are 3 inches wide and 21 inches long. The total length is (21 + 21) inches = 42 inches

total area = 48 in. * 15 in. + 42 in. * 3 in.

total area = 720 in.^2 + 126 in. * 3 in.

total area = 846 in.^2

The correct answers for the quadratic equation are:

Roots of a quadratic equation are the points where y = 0.

Abscissa of a quadratic equation are the points where x = 0.

If the equation of a quadratic equation is in the vertex form,

         y = a(x - h)² + k

         Vertex of the U-shaped curve will be (h, k)

Given in the question, where the equation of the u-shaped curve is
y = 2x(x - 11)

Convert the equation in the vertex form,

y = 2x² - 22x

y = 2(x² - 11x)

y = 2 *  (x² - 2 ( 5.5x) + (5.5)² - (5.5)²)

y = 2[(x - 5.5)² - 30.25]

y = 2(x - 5.5)² - 60.5

Hence, the vertex of the U-shaped curve will be (5.5, -60.5).

For x-intercepts,

Substitute y = 0,

0 = 2x(x - 11)

⇒ x = 0, 11

   Therefore, roots of the parabola will be (0, 0) and (11, 0).

and the  ordinate of the vertex is x = 5.5

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Answer:

1280°

Step-by-step explanation:

The rotation of the pulley can be converted from 320 times per minute to per seconds as

320 times/360= 16/3 times per seconds

Now the rate at which the pulley is rotating in "per second"= 16/3 per seconds

To determine degrees a point on the edge of the pulley move in (2/3 seconds) then we can calculate as;

=( 16/3 per seconds × 2/3 )

=32/9 times/seconds

Which means, in 2/3 seconds, it moves with 32/9 times.

But 360° makes a rotation here, then

the degree a point on the edge of the pulley move in 2/3 seconds will be

(32/9 times× 360°)= 1280°

Hence, it moves at 1280°

Answer:

Step-by-step explanation:

6,800, percentage increased by 12% (percent) of its value = 7,616  

20, percentage increased by 1,000% (percent) of its value = 220  

1,000,000, percentage increased by 0.49% (percent) of its value = 1,004,900

Answer:

7616

hope it helps

mark brainliest please

Answer:

y = 28

Step-by-step explanation:

1/4y=7 | Given

y = 28 | Multiplicative property of equality (multiply 7 by the denominator of 1/4y)

Using proportions, it is found that 663 W/m² of light passes through the roof.

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

The rule of three is:

780 W/m² - 1

x W/m² - 0.85

Applying cross multiplication:

\(x = 0.85(780) = 663\)

663 W/m² of light passes through the roof.

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Answer:

6 cm

Step-by-step explanation:

The area of a square is its side squared(multiplied by itself). In order to find the length of the square, you would need to find a number which is multiplied by itself to get 36. This number is 6, meaning the length of the square is 6 cm.

The steps Sergey could use to solve the quadratic equation by completing the square is 5(x2 + 4x) = –7

We should know that in completing the square method both sides of the equation are made perfect squares.

The given equation is 5x²+20x-7=0

Solving this equation by completing the square method we have

5(x²+4x+4)=-7

This means that (x+2)=±√27/5

Simplifying further we have

5(x²+4x)=7

Then expanding to make ²HS a perfect square we have

5(x²+4x+4)=7+20

This means that 5(x²+4x)=-7

Therefore the step he could use is 5(x²+4x)=-7\

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Answer:

1

Step-by-step explanation:

1.  One way to do this is converting both into improper fractions.  To do this, multiply the whole number by the denominator and add that to the numerator.

2 3/5 --> 2*5 is 10 --> 10+3 is 13.  --> 13/5

2.  This leaves us with 13/5 - 8/5

3.  Subtract the numerators

13/5 - 8/5 = 5/5

4.  Simplify.  If the numerator is the same number as the denominator, it's a whole number.

5/5 = 1

Answer:

We can use the Pythagorean theorem to solve this problem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we know that the two sides have lengths of 2 cm and 6 cm, and we are trying to find the length of the third side, which we'll call x. We also know that the third side is not the hypotenuse, so we can't just assume that it's the longest side.

Using the Pythagorean theorem, we can write:

x^2 + 2^2 = 6^2

Simplifying, we get:

x^2 + 4 = 36

Subtracting 4 from both sides, we get:

x^2 = 32

Taking the square root of both sides, we get:

x = sqrt(32)

Simplifying, we get:

x = 4sqrt(2)

So the length of the third side is 4sqrt(2) centimeters.

Answer:

Step-by-step explanation:

Answer:

1) Given

2) Slope Formula

3) Multiply

4) If the product of the slopes of two non vertical lines is -1, then the lines are perpendicular

5) Perpendicular lines intersect to form right angles

6) Definition of right triangle

Answer:

90

Step-by-step explanation:

5+6+4=15

15 x 6=9

Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

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The general form representation of the polynomial which is as described in the task content is; f(x) = 4x³ + 38x² + 24x - 360.

It follows from the task content that the Polynomial in discuss has;

Therefore, the factored form of a polynomial can be written as follows;

P(x) = a (x - p) (x - q) (x - r) where p, q and r are the roots of the polynomial and a is the leading coefficient.

Since the factors of the polynomial f(x) are; (x + 6), (x + 6) and (x - 5/2).

Hence, the polynomial f(x) in discuss can be written as follows;

f(x) = 4 (x + 6) (x + 6) (x - 5/2)

f(x) = (x + 6) (x + 6) (4x - 10)

f(x) = 4x³ + 38x² + 24x - 360

Therefore, the required polynomial in standard form is; f(x) = 4x³ + 38x² + 24x - 360.

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Answer:

A Yi did not list all of the factors of 63

Step-by-step explanation:

hope this helps

Answer:

A. Yi did not list all the factors of 63

Step-by-step explanation:

Did the quiz

The nth term of the sequence 4/5, 1/5, 1/20. 1/80..... is an = 4/5(1/4)^(n - 1)

The definition of the function is given as

4/5, 1/5, 1/20. 1/80.....

The above definitions imply that we simply multiply 1/4 to the previous term to get the current term

Using the above as a guide, we have

First term, a = 4/5

Ratio, r = 1/4

So, we have the following equation

an = 4/5(1/4)^(n - 1)

Hence, the value of the nth term is an = 4/5(1/4)^(n - 1)

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Answer:

The total number of different suits consisting of a jacket, shirt, tie, and pants are possible is 576 ways and this can be determined by using the given data.

Given :

A men's department store sells 3 different suit jackets, 6 different shirts, 8 different ties, and 4 different pairs of pants.

The following steps can be used in order to determine the total number of different suits consisting of a jacket, shirt, tie, and pants are possible:

Step 1 - The arithmetic operations can be used in order to determine the total number of different suits consisting of a jacket, shirt, tie, and pants are possible.

Step 2 - According to the given data, the total number of shirts is 6, ties is 8, suit jackets is 3, and pants is 4.

Step 3 - So, the total number of different suits consisting of a jacket, shirt, tie, and pants are possible is:

= 576 ways

Step-by-step explanation:

Answer: 1.367

Step-by-step explanation:

csc47° = 1.3673 ≈ 1.367

The value of cosec 47° is 1.367.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

cosec 47°

The value of cosec 47°.

= 1.367334

Rounding to the nearest thousandth.

= 1.367

Thus,

The value of cosec 47° is 1.367.

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Answer:

All positive real numbers i think

Answer:

B

Step-by-step explanation:

4^x can never be 0 or negative, the graph has a horizontal asymptote at y = 0

So the range only includes positive values

Answer Key:

1. Since the question says Mr. Smith runs 2.7 miles every day of the week, you will need to multiply it with 365, the days of the year. The total answer you would get D. 985.5 miles.

| I just want to help you with #2 anyway