Question 13 of 46
What is the remainder for the synthetic division problem below?

Answer: 5 green buckets and 3 white buckets

Step-by-step explanation: each green bucket is 7 liters so if Austin buys 5 of them that'll equal 35 liters already. And each white bucket is 1 liter so if he buys 3 of those that'll get him to 38

South would be straight down (leg 1 of the triangle) and east would be right from that point (leg 2 of the triangle). Therefore, we are looking for the hypotenuse of the triangle.

Pythagorean Theorem: a^2 + b^2 = c^2

6^2 + 5^2 = c^2

36 + 25 = c^2

61 = c^2

c = sqrt(61)

c = 7.8 miles

Hope this helps!

Step-by-step explanation:

here's the answer to your question

Answer:

[tex]g(x) \times f(x) = 3{x}^{3} -3x[/tex]

X exists for all real numbers.

Y exists for all real numbers.

Answer:

Height of school building = 100 feet

Step-by-step explanation:

Given;

Shadow of school building = 25 feet

Height of individual = 6 feet

Shadow of individual = 18 inches = 1.5 feet

Find:

Height of school building

Computation:

Height of individual / Shadow of individual = Height of school building / Shadow of school building

6 / 1.5 = Height of school building / 25

Height of school building = 25 x 4

Height of school building = 100 feet

Answer:

It is D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Evaluate the fractions inside the absolute value

2 [tex]\frac{5}{6}[/tex] + [tex]\frac{7}{4}[/tex] ( change mixed number to improper fraction )

= [tex]\frac{17}{6}[/tex] + [tex]\frac{7}{4}[/tex] ( the LCM of 6 and 4 is 12 ) , then

= [tex]\frac{17(2)}{6(2)}[/tex] + [tex]\frac{7(3)}{4(3)}[/tex]

= [tex]\frac{34}{12}[/tex] + [tex]\frac{21}{12}[/tex] ( add the numerators, leaving the common denominator )

= [tex]\frac{55}{12}[/tex]

= 4 [tex]\frac{7}{12}[/tex] → D

Answer:

548

Step-by-step explanation:

First, the sides:

7 × 12 = 84

84 × 2 = 168

7 × 10 = 70

70 × 2 = 140

10 × 12 = 120

120 × 2 = 240

Add:

168 + 140 + 240

 ^         ^

     308  +  240

            548  

Hope this helped.

Answer:

The surface area of the rectangular prism is 548[tex]ft^{2}[/tex]

Step-by-step explanation:

To find the surface area of the rectangular prism you need to use the formula

A=2(wl+hl+hw)

Answer to question commented:

The surface area of the other rectangular prism is 430[tex]ft^{2}[/tex]

Hope this helps!

Answer:

-27tn

Step-by-step explanation:

Use KIO (keep, inverse, opposite) then divide.

Answer: He need 3 boxes.

Step-by-step explanation:

Split his floor into 6 parts, each part needing 1/2 of the tile box:

[tex]6*\frac{1}{2} =\frac{6}{2} =3[/tex]

Or you can add 1/2 six times for each 1/6 of the floor:

[tex]\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} =\frac{6}{2}=3[/tex]

Answer:

3x² + 2x - 9 = 0

Step-by-step explanation:

Standard form of a quadratic: ax² + bx + c

Move all terms to one side of the equation:

[tex]3x^2-9=-2x\\3x^2-9+2x=-2x+2x\\3x^2+2x-9=0[/tex]

Answer:

C

Step-by-step explanation:

Answer:

x=44

Step-by-step explanation:

20/x=30/22+x

20x+440=30x

440=10x

x=44

Answer Should be 45

Answered by Gauthmath must click thanks and mark brainliest

Answer:

Step-by-step explanation:

let the  numbers be x and y.

x+y=16

x-y=6

add

2x=22

x=22/2=11

11+x=16

x=16-11=5

product xy=11×5=55

Answer:

5.425

Step-by-step explanation:

310° = 310° × π ÷ 180°

= 310° × 3.142 ÷ 180°

= 310° × 0.0175

= 5.425

Answer:

Step-by-step explanation:

i got it right on khan[tex]\frac{31\pi }{18}[/tex]

Answer:

The first option would be your answer. The graph should be positive due to the modulus.

The first option is good.

Hope it helped!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Additive inverse and multiplicative inverse are mathematics function which creates net impact of an equation as zero.

The correct names are matched with their respective properties.

A. 7. 8 + [-8] = 0

B. 9. 5 * [1/5] = 0

C. 4. a + 5b = 5b + a

D. 2. [pq] * 1 = pq

E. 6. gh - hg

F. 3. [5x] y-5 [xy]

G. 10. 2 [a + b] = 2a * 2b

I. 5. a + 0 = a

J. 8. x* 0 = 0

Additive inverse property is when the net result from addition is zero.

Multiplicative inverse property is the equation which gives answer zero when two variables are multiplied.

Learn more at https://brainly.com/question/24325325

Answer:

0 and 360 - Onlinemath4all

FIND A COTERMINAL ANGLE BETWEEN 0° AND 360°. One complete rotation of a ray in the anticlockwise direction results in an angle measuring of 360°.

Missing: 452° ‎| Must include: 452°

Answer: A) Yes

If (4, 4) lies within the double-shaded area that covers the solution set of both inequalities, then it's a solution.

It does, therefore, it's a solution to the system of inequalities.

The answer is (-4, -2)

-2 + -4 < -5

-6 < -5

Hope this helps!

Answer:

(- 4, - 2 )

Step-by-step explanation:

Substitute the coordinate value into the left side of the inequality and compare the value obtained to the right side

(- 2 , - 3 )

- 3 - 2 = - 5 = - 5 ← not a solution

(- 4, - 2 )

- 2 - 4 = - 6 < - 5 ← solution

(- 3, - 2 )

- 2 - 3 = - 5 ← not a solution

(- 1, - 3 )

- 3 - 1 = - 4 > - 5 ← not a solution

Answer:

x = 28

Step-by-step explanation:

The sum of the angles in a straight angle = 180°

Sum the angles and equate to 180

2x + 20 + 3x + 20 = 180

5x + 40 = 180 ( subtract 40 from both sides )

5x = 140 ( divide both sides by 5 )

x = 28

Answer:

a=1/2,b=-1,c=-1 and d=1/2

Am I right please?

Answer:

a = 1/42; b = 1/7; c = 1/3; d = 1/2

Step-by-step explanation:

a = bcd

a + b = cd

a + b + c = d

a + b + c + d = 1​​

d + d = 1

2d = 1

d = 1/2

2a = bc

2a + 2b = c

2a + 2b + 2c = 1

bc + 2b = c

bc + 2b - c = 0

bc + 2b + 2c = 1

-3c = -1

c = 1/3

a + b = cd

a + b = 1/6

a = bcd

a = b(1/3)(1/2)

a = 1/6 b

1/6 b + b = 1/6

7/6 b = 1/6

b = 6/42

b = 1/7

a = 1/6 b

a = 1/6 * 1/7

a = 1/42

Answer:

1. about 11.18

2. about 8.66

Step-by-step explanation:

1. 5^2 + 10^2= 125

square root of 125 equals about 11.18

2. 10^2-5^2=75

square root of 75 equals about 8.66

Answer:

[tex]\begin{array}{ccl}Year&&End \ of \ year \ balance\\1&&\$4,483.18\\2&& \$3,088.68\\3&&\$1,596.57\\4&&0\end{array}[/tex]

Step-by-step explanation:

The initial amount invested, P = $1,600

Danny's age at which the amount, A, is to be used for his college, t = 19 years

The number of equal annual payments, m, to be withdrawn from the amount = 4

The compound interest on the account, r = 7% = 0.07

Let, A, represent the amount at the year the annual withdrawals starts to be made, we have;

[tex]A = P \times \left(1+\dfrac{r}{n} \right)^{n \times t}[/tex]

n = The number of times the interest is applied annually = 1

Therefore;

[tex]A = 1,600 \times \left(1+\dfrac{0.07}{1} \right)^{1 \times 19} \approx 5,786.444[/tex]

The amount, m, is withdrawn at start of Danny's first year in college to give the amount in the account = A - m

The amount in the account at the end of the first year with compound interest, r = (A - m)×(1 + r)¹ = (A - m)×(1 + r)

At the stat of the second year, the second withdrawal is made to give the starting amount = (A - m)×(1 + r) - m

The amount in the account at the end of the second year = ((A - m)×(1 + r) - m)×(1 + r)

At the start of the third year, the amount in the account =  ((A - m)×(1 + r) - m)×(1 + r) - m

At the end of the third year, we have the amount in the account  = (((A - m)×(1 + r) - m)×(1 + r) - m) × (1 + r)

At the start of the forth year, the last yearly installment is withdrawn from the account and we have 0 balance in the account.

Therefore, on the fourth year, we have the amount in the account = (((A - m)×(1 + r) - m)×(1 + r) - m) × (1 + r) - m = 0

(A - m)×(1 + r)³ - m×(1 + r)² - m × (1 + r) - m = 0

A×(1 + r)³ - m×(1 + r)³ - m×(1 + r)² - m × (1 + r) - m = 0

A×(1 + r)³ = m×(1 + r)³ + m×(1 + r)² + m×(1 + r) + m = m × ((1 + r)³ + (1 + r)² + (1 + r) + 1)

A×(1 + r)³ = m × ((1 + r)³ + (1 + r)² + (1 + r) + 1)

m = A×(1 + r)³/((1 + r)³ + (1 + r)² + (1 + r) + 1)

∴ m = 5,786.444×(1 + 0.07)³/((1 + 0.07)³ + (1 + 0.07)² + (1 + 0.07) + 1) ≈ 1,596.56

The amount withdrawn annually, m ≈ $1,596.56

The amount in the account at the end of the each year is given as follows;

First year = (A - m)×(1 + r) = (5,786.444 - 1,596.56)×(1 + 0.07) ≈ 4,483.17588

Second year = ((A - m)×(1 + r) - m)×(1 + r) = ((5,786.444 - 1,596.56)×(1 + 0.07) - 1,596.56)×(1 + 0.07) = 3,088.68

Third year = (((A - m)×(1 + r) - m)×(1 + r) - m) × (1 + r) = (((5,786.444 - 1,596.56)×(1 + 0.07) - 1,596.56)×(1 + 0.07) - 1,596.56) × (1 + 0.07) = 1,596.57

At the end of the first year, we have $4,483.17588

At the end of the second year, we have $3,088.68

At the end of the third year, we have $1,596.57

At the end of the fourth year, we have 0

Answer:

6 : 5

Step-by-step explanation:

Volume of a cube = s^3

5^3 = 125

Surface area of a cube = 6s^2

6(5^2) = 6(25) = 150

150 : 125

30 : 25

6 : 5

Answer:

Step-by-step explanation:

Figure consists of three parts; one Triangle , one   rectangle and  a square.

Triangle:

Base = b = 13+9 = 22 cm

height =  16 cm

[tex]Area \ of \ triangle = \frac{1}{2}* b*h\\\\= \frac{1}{2}*22*16\\\\= 11 *16\\\\= 176 \ cm^{2}[/tex]

Rectangle 1:

length = 14 cm

Width = 4 cm

Area of R1 = length * width = 14 * 4 = 56 cm²

Area of Square R2:

side = 8 cm

Area of square = side * side = 8 * 8 = 64 cm²

Area of shaded region = 176 + 56 + 64 = 296 cm²

Answer:

Step-by-step explanation:

The general form of this equation is

[tex]A=Pe^{rt}[/tex] where P is the initial population, e is Euler's number (a constant), r is the rate of decay, and t is the time in years.

Therefore, filling in:

[tex]A=45000e^{-.02t[/tex]