Find the missing length indicated

The quotient is (6x + 1) and the remainder is (-7x + 1).

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given A cubic polynomial 24x³ - 14x² + 20x + 6 divided by 4x² - 3x + 5.

So, (24x³ - 14x² + 20x + 6)/(4x² - 3x + 5).

= (4x² - 3x + 5)(6x + 1) + (-7x + 1)/(4x² - 3x + 5) in rhe form N = DQ + R.

The same applies to the division of polynomials.

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If you have $82 in your bank account and you write checks for $54, $35, and $15, then the total amount you have written in checks is $54 + $35 + $15 = $104.

So the remaining balance is $82 - $104 = -$22, which means you are now overdrawn.

After you deposit $35 and $42, the new balance will be $82 - $22 + $35 + $42 = $155

So after the deposit, the account balance is $155

It is important to keep track of your bank account balance, if you do not have enough funds in the account and the check you wrote is cashed the bank will bounce the check and incur additional fees.

Answer:

14.5833333333

Step-by-step explanation:

3.5x2.5=8.75, divided by 0.6 is 14.5833333333

Answer:

the answer is seven units

Answer:

The 92.7% confidence interval for the expected amount of garbage per bin for all bins in the city is between 48.135 pounds and 50.685 pounds. The lower limit is 48.135 pounds.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 46 - 1 = 45

92.7% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 45 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.927}{2} = 0.9635[/tex]. So we have T = 2.1437

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.1437\frac{3.99}{\sqrt{45}} = 1.275[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 49.41 - 1.275 = 48.135 pounds

The upper end of the interval is the sample mean added to M. So it is 49.41 + 1.275 = 50.685 pounds.

The 92.7% confidence interval for the expected amount of garbage per bin for all bins in the city is between 48.135 pounds and 50.685 pounds. The lower limit is 48.135 pounds.

Answer:

y=4x-12, y=-0.5x-5, y=7x, y=-4x+10

Step-by-step explanation:

The last value is the y intercept in slope intercept equations. If there is nothing other than mx, then the y intercept is 0

The maximum allowable pipe diameter is given as : 0.501. Option B

From the question the interior diameter of the pipe is said to be 0.49

The pipe is said to have the thickness of 0.005 inches.

The exterior diameter of the pipe would be solved as 0.49 + 2 * 0.005

= 0.49 + 0.01

= 0.5

The questions said the variance in the diameter of this pipe is 0.001

Then the maximum allowable pipe diameter would be solved as: 0.001 + 0.5 = 0.501

The diameter of the pipe that is allowable is 0.501

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Answer:

720 ft^2

Step-by-step explanation:

1) find the area of the swimming pool

A = 32 x 16 = 512 ft ^2

2) find the total area

A = 44 x 28 = 1232 ft^2

3) find the area of the deck

A = total area - area of the swimming pool = 1232 - 512 = 720 ft^2

Answer:

512

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

40%=0.40

0.4x=24

x=24/0.4

x=60

Answer:

Step-by-step explanation:

To obtain the graph of f(x)-1 you only need to move down one unit   the graph of f(x).  What do you think is the best answer? I think is 4.

Answer: Graph 1

Step-by-step explanation:

Answer: 1/b^5 (D)

Step-by-step explanation:

Is this a UTHS course I'm seeing?

Answer:i think A

Step-by-step explanation:

Answer:

a. 5177 cm³

b. 3,451 cm³

c. 67%

Step-by-step explanation:

Given:

Diameter of each ball (d) = 13 cm

Radius of the ball (r) = radius of the cylinder = ½(13) = 6.5 cm

Height of the cylinder (h) = the sum of the diameters of the 3 balls = 3(13) = 39 cm

a. Volume of cylinder = πr²h

Plug in the values

Volume of cylinder = π*6.5²*39 = 5176.56 ≈ 5177 cm³

b. Total volume of the three balls = 3(volume of 1 ball) = 3(volume of sphere) = 3(⁴/3πr³)

Plug in the value

Total volume of the 3 balls = 3(⁴/3*π*6.5³) = 3(1150.35) = 3,451.05 ≈ 3,451 cm³

c. % of volume of the container occupied by the 3 balls = total volume of the three balls / volume of cylinder × 100

Plug in the values

= 3,451/5177 × 100

= 66.6602279

≈ 67%

The option D is correct.Because this equation holds the vertically opposite angle theorem.

Vertically Opposite Angles are holds when two lines intersect each other then the opposite angles formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.

Vertical opposite angles that are opposite each other when two lines cross are also known as vertical angles because the two angles share the same corner. Opposite angles are also congruent angles.The equation of a vertical line is given by x = a or x = -a

Now we find

According to vertical opposite angle

x-8=40-2x

x+2x=40+8

3x=48

x=16

We can find value of x by usng vertical opposite angle.

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The best price for her to purchase ice cream is given as follows:

D. $49.60 / five gallon tub.

The best price is obtained applying the proportions in this problem, dividing the price by the volume of the cartoon/tub, in ounces.

For item a, the price per ounce is calculated as follows:

3.99/24 = $0.16625 per ounce.

The ratios for the remaining items are given as follows:

Hence the prices for items b, c and d are given as follows:

Due to the lower cost per ounce, the option D represents the best option for her to purchase ice cream.

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Answer: This is not a function

Why not?

The input x = 2 leads to more than one output. In this case, it leads to y = 20 and y = 40 simultaneously. This is the reason why we don't have a function. A function is only possible if each input x leads to exactly one y output.

Put another way: we cannot have x repeating any values if we want a function.

Side note: We could have y repeat however. So it's possible to have a function with the two points (1,5) and (3,5).

Answer:

a) x=9

b)x>7 or x≤-8

Step-by-step explanation:

Answer: 33428.15.

Step-by-step explanation:

Answer:

19.5º

Step-by-step explanation:

Every triangle is equal to 180º for all angles. So, you add 33.5 + 127 and subtract the sum by 180.

33.5 + 127= 160.5

180- 160.5 = 19.5

So, the angle F is 19.5º

Hope this helps !!

-Ketifa

Answer:

look at the picture I sent

The solution to the equations are

0 ∈ N is False               7/2 ∈ Q is True

√16 ∈ Q' is False          π ∈ Q' is True

3/2 ∈ I is False              -3 ∈  R is True

0 ∈ I is True                  -1 ∈ I⁺ is False

( 1 - 3 ) ∈ N is False       8/2 ∈ I is True

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as A

Now , the equation will be

a)

Let the number be A = 0

The number 0 is a whole number , rational number and an integer

0 is not a natural number

So , the equation is False

b)

Let the number be A = √16

The value of A = 4

The number 4 is a natural number , whole number , rational number and an integer

4 is not an irrational number

So , the equation is False

c)

Let the number be A = 3/2

The number 3/2 is a rational number

3/2 is not an integer

So , the equation is False

d)

Let the number be A = 0

The number 0 is a whole number , rational number and an integer

0 is an integer

So , the equation is True

e)

Let the number be A =  ( 1 - 3 )

The value of A = -2

The number -2 is a rational number and an integer

-2 is not a natural number

So , the equation is False

f)

Let the number be A = 7/2

The number 7/2 is a rational number

7/2 is a rational number

So , the equation is True

g)

Let the number be A = π

The number π  is an irrational number

π is an irrational number

So , the equation is True

h)

Let the number be A = -3

The number -3 is a real number

7/2 is a real number

So , the equation is True

i)

Let the number be A = -1

The number -1 is an integer and real number

-1 is a negative integer

So , the equation is False

j)

Let the number be A = 8/2

The value of A = 4

The number 4 is a natural , whole , integer and rational number

4 is an integer

So , the equation is True

Hence , the equations are solved

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Answer:

Step-by-step explanation:

-38 + -12x < -200

Answer:

-38 - 12x > -200

x = 13.5 min

Step-by-step explanation:

let x = minutes of the dive

-38 ft - 12 ft/min(x) > -200 ft

-12 ft/min(x) < -162 ft

x > -162/-12   **flip the inequality when you divide by a (-) number

x > 13.5 min

Starting at -38 ft, he has to dive longer than 13.5 minutes to go deeper than -200 ft at a rate of -12 ft/min

Answer:

310

Step-by-step explanation:

35 - 5² + (2 * 5)² * 3

Solve inside the parenthesis.

35 - 5² + 10² * 3

Solve the exponents.

35 - 25 + 100 * 3

Solve the multiplication.

35 - 25 + 300

Solve the subtraction.

10 + 300

Add.

310

b= 8

Step-by-step explanation:

If we rewrite the 2nd equation, it becomes

15y = -6x - 11 ---> y = (-2/5)x - (11/15)

In order for this system of equations to have no solution, they must have the same slope, i.e., they're parallel to each other. So rewriting the 1st equation,

20y = -bx + 11

---> -b/20 = -0.4 or b = 8

Answer:

X=3

Step-by-step explanation:

180-105-46=6x+11

6x+11=29

6x=18

x=3

Answer:

65

Step-by-step explanation:

To find the second factor of a multiplication problem with only the answer and the first factor, divide the answer by the first factor.

[tex]2600/40= 65.[/tex]

Therefore, 40 × 65 = 2600.