Using synthetic division, what is the quotient (2x3-3x-10)divided (x-2)

Answer:

y = 5x+8

Step-by-step explanation:

I'm assuming you mean to write an equation.

Slope intercept form is y = mx+b

m represents slope

b represents the y intercept

Substitute the values into the equation

We get: y = 5x+8

Answer:

34

Step-by-step explanation:

Substitute the values.

s = 3 and t = -2

8s-5t

8 (3) - 5(-2)

( 8 x 3 ) - ( 5 x -2 )

24 + 10 [ - x - = + ]

= 34

Answer:

= 5/9 + 1/3

=5/9 + 3/9

= 5+3/9

=8/9

Answer:

▶◀

Step-by-step explanation:

n/a bc you didn't explain wut to do

Answer:

Results are below.

Step-by-step explanation:

It is not clear what the question is. But, I will assume that we need to calculate the future value of each investment at age 65.

First, we need to calculate the future value of the monthly deposit made by Ben. We will use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit= 500

Interest rate (i)= 0.11/12= 0.0092

Number of months (n)= (26 - 19)*12= 84

FV= {500*[(1.0092^84) - 1]} / 0.0092

FV= $62,944.74

Now, the future value of the investment of Ben at age 65:

FV= PV*(1 + i)^n

n= (65 - 26)*12= 468 months

FV= 62,944.74*(1.0092^468)

FV= $4,574,131.31

Finally, the future value of the investment for Arthur:

i= 0.0092

n= (65 - 27)*12= 456

A= 500

FV= {500*[(1.0092^456) - 1]} / 0.0092

FV= $3,484,032.07

x = 242.7 m

Step-by-step explanation:

First we need to find the angle at one of the parachutists:

180 - 57 - 43 = 80°

We then use sine law to find the distance between the parachutists

\( \frac{x}{ \sin(57) } = \frac{285 \: m}{ \sin(80) } \)

Solving for x

\(x = (\frac{ \sin(57) }{ \sin(80) } )(285 \: m) = 242.7 \: m\)

Answer:

140-111=29

Step-by-step explanation:

Answer:

29 Sugar Cookies

Step-by-step explanation:

1/4 of 140 = 35 Chocolate Chip

1/7 of 140 = 20 Peanut Butter

2/5 of 140 = 56 M&M

So, (35 + 20 + 56) = 111

140 total cookies - 111 choc. chip, PB, and M&M = 29 Sugar Cookies that remain

There are 29 Sugar cookies!

Answer:

x = 3.96

Step-by-step explanation:

The ratio for the big triangle is 5:6, so is likely the ratio for the smaller one.

3.3 x 6/5 = 3.96

6 / 3.96 =  1.51515151515

5 / 3.3 =  1.51515151515

Triangles are congruent.

Answer:

3.96 ft.

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Hey there!

Well in the equation,

y = 2/3x - 3

the slope is 2/3 because the equation shows 2/3x and wherever the x is in slope intercept that the slope.

Hope this helps :)

Answer:

option c is the right answer

Step-by-step explanation:

x+8=3x                                                                                                                             or,8=3x-x                                                                                                                                                                                                                                                 or,8=2x                                                                                                                                                                            Therefore,x=4

Answer:

615.8

Step-by-step explanation:

Circle area = π * r² = π * 196 [mcm²] ≈ 615.8 [cm²]

Answer:

Area is 616 square centimeters.

Step-by-step explanation:

Area of Circle

\(A = \pi r^2\)

A ... area

r ... radius

Given

r = 14 cm

Use formula.

\(A = \pi r^2\)

\(A = \pi (14 \text{ cm})^2\)

\(A = \pi (196) \text{ cm}^2\)

Use \(\frac{22}{7}\) for \(\pi\), since they tell you to use that in instructions.

\(A = (\frac{22}{7}) (196) \text{ cm}^2\)

\(A = 616 \text{ cm}^2\)

Answer:

vertical angles - angle 2 and 4, angle 1 and 3

adjacent angles- angle 2 and 3, angle 1 and 4

Answer:

Step 2

18 over 8 to a decimal is 2.25

Step-by-step explanation:

Step 1, 20, subtract 16 labeled as

Step 2, 40 labeled as

Step 3, subtract 40, and 0 labeled as Step 4.

Divisor = 8

Divided = 18

Quotient = 2.25

2.25

8 √18

- 16

2 0

- 16

4 0

- 40

0

The first error is at step 2

18 over 8 to a decimal is 2.25

See the attached image for better understanding

Answer:

step 2

Step-by-step explanation:

The outcome that makes up the event a that the sum of the three faces showing equal 5 is; P(E) = 1/36

There are three dice, thus.

Set the Red die to R.

Set the Blue die to B.

Green Dice should be G.

Now, none of the six potential numbers can be bigger than 3 in order for the sum of the three numbers on all dice to equal 5.

So, P(R) = 3/6.

Now, if P(R) = 3/6, none of the other 2 dice can produce 3 or more because doing so would cause the sum to exceed the necessary 5.

So, P(B) = 2/6.

Now that P(R) and P(B) have been obtained, P(Y) must be 1/6.

As a result, P(E) = 3/6 2/6 1/6 is the result that constitutes the event that the sum of the three faces shown equals 5.

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Answer:

I got 5/16 as my answer

Step-by-step explanation:

I used a calculator to solve the equation :/

The equivalent resistance currents passing through each resistance  are: 1.8 A , 1.29A , 1A.

The total current passing through the circuit is  19.83 A.

The resistance 5Ω , 7Ω , 9Ω  which are are connected in parallel, then,

R1 =5Ω,

R 2=7Ω,

R3 =9Ω; supply voltage V=9 volt.

Effective resistance of parallel combination can be calculated as :

1/RP = 1/R1 + 1/R2 + 1/R3

1/RP= 1/5 + 1/7 +1/9

Rp = 0.45397Ω

Then the Current through  resistors

are R1,  I1 = V/R1 = 9/5 = 1.8A

R2,  I2 = V/R2 = 9/7 = 1.29A

R3,  I3 = V/R3 = 9/9 = 1A

Then Total current I = V/Rp = 9/ 0.45397 = 19.83 A

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Answer:

To find the pressure that the box exerts on the ground, we need to divide the force by the area of the base:

pressure = force / area

We are given that the force is 4.5 kN and the area is 1.1 m². However, we need to convert the force from kilonewtons to newtons before we can divide by the area:

force = 4.5 kN = 4,500 N

Now we can plug in the values:

pressure = 4,500 N / 1.1 m² = 4,090.91 N/m²

To express the pressure in kilonewtons per square meter, we need to divide by 1,000:

pressure = 4.09091 kN/m²

Rounding to 2 decimal places, we get:

pressure ≈ 4.09 kN/m²

Therefore, the pressure exerted by the box on the ground is approximately 4.09 kN/m².

Answer:

10.50

Step-by-step explanation:

Answer:

C and D on E2020

Step-by-step explanation:

Answer: 50% I think

Step-by-step explanation: blue and orange are both good colors so I think it would be a 50/50 chance. blue isn't better then orange and orange isn't better then blue.

9514 1404 393

Answer:

  2a. (360x +495)/(8x +11) = 45

  2b. 2((8x+11) +45) = 16x +112

Step-by-step explanation:

a) The area is the product of length and width.

  A = LW

We are given ...

  W = 8x +11

  A = 360x +495

The value of length can be found by solving for L:

  L = A/W

  L = (360x +495)/(8x +11)

The long-division solution to this is shown in the attachment.

  L = 45 . . . . simplified expression for length

__

b) The perimeter of the tank is twice the sum of length and width:

  P = 2(L +W)

Substituting the values for L and W, this is ..

  P = 2(45 +(8x +11)) . . . . expression for length of edge seal

  P = 2(8x +56)

  P = 16x + 112 . . . . . . simplified expression for seal length

Answer:

y = 1/3x + 2

Step-by-step explanation:

Answer:

It would be the second awnser hope this helps :)

Step-by-step explanation:

Answer:

y = 0.75x + 17

Step-by-step explanation:

y - 20 = 0.75(x-4)

y - 20 = 0.75(x) + 0.75(-4)

y - 20 = 0.75x -3

y = 0.75x -3 + 20

y = 0.75x + 17

y - 20 = 0.75(x - 4)    |add 20 to both sides

we can simplified equation:

use the distributive property: a(b + c) = ab + ac

y = 0.75x - 0.75 · 4 + 20

y = 0.75x - 3 + 20

Answer:

v = 13.5 m/s

Step-by-step explanation:

v = u + at

u is initial velocity

a is acceleration

t is time

v is final velocity

using the info in the q, we know

u = 3

a = 1.5

t = 7

sub these numbers into the equation to find v - final velocity

v = u + at

v = 3 + (1.5×7)

v = 13.5 m/s

Yes, the two cones are congruent because they have the same radius, height, and volume, indicating that they share the same shape and size. Their identical properties provide clear evidence of their congruence.

Congruence means that two objects have the same shape and size. In this case, the cones have the same radius, height, and volume, which are all key properties that determine their shape and size.

To demonstrate their congruence, we can examine the relationships between these properties. Since the cones have the same radius, their circular bases are identical in size. The height of the cones is also the same, meaning their slant heights and lateral surfaces are equal.

Additionally, the volume of a cone is calculated using the formula V = (1/3)πr^2h, where r is the radius and h is the height. Given that the volumes of the two cones are equal, it implies that their radii and heights are proportional.

Considering all these factors, we can confidently conclude that the two cones are congruent. Their identical radii, heights, and volumes provide substantial evidence that they share the same shape and size, satisfying the criteria for congruence.

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Nevertheless, it appears that the question is not fully formed; the appropriate request should be:

The required number of ounces of nuts would be 1/2 in each granola bar.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

She will use 12.5 ounces of walnuts to make 25 granola bars which is given in the question.

To determine the number of ounces of nuts in each granola bar

Let the number of ounces of nuts in each granola bar would be x

As per the given situation, we can write a ratio as

12.5 ounces : 25 bars = x ounces : 1 bars

⇒ 12.5 / 25 = x / 1

⇒ 1/2 = x

⇒ x = 1/2

Thus, the required number of ounces of nuts would be 1/2 in each granola bar.

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Answer:

the answer is 23