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x³ + ax² + 5x + 3. x + 2 = 0

x = -2

(-2)³ + a(-2)² + 5(-2) + 3 = 0

-8 + 4a - 10 + 3 = 0

4a - 15 = 0

4a = 15

a = 15/4

Answer:

16.35

Step-by-step explanation:

Using an inverse normal distribution, we can calculate the z score given the percentile, which can then be used to find our value.

First, we can use an inverse normal distribution calculator to figure out that the z score given the 75th percentile is 0.674.

Next, we know that the z score is (observed value - mean) / standard deviation. We can plug our values in to get

[tex]\frac{x-15}{2} = z\\\frac{x-15}{2} = 0.674\\x-15 = 0.674 * 2\\x = 0.674 * 2 + 15\\x= 16.348[/tex]

Rounding, we get x = 16.35 as our answer

Answer:

$1,610 is Daniella's Net Worth

Step-by-step explanation:

1,425 + 3,200 – 1,350 – 825 – 6×140 = 1,610

Answer:

7

Step-by-step explanation:

a=2

b=2

c=1

2ab cos C=a²+b²-c²=2²+2²-1²=4+4-1=7

Answer:

C

Step-by-step explanation:

Given

a² + b² - 2abcosC = c² ( subtract c² from both sides )

a² + b² - c² - 2abcosC = 0 ( add 2abcosC to both sides )

a² + b² - c² = 2abcosC

Here a = 2, b = 2, c = 1 , then

2² + 2² - 1² = 2abcosC

4 + 4 - 1 = 2abcosC , then

2abcosC = 7 → C

Answer:

Time in air is 7.5 s.

Step-by-step explanation:

initial height, h = 0.125 feet

initial velocity, u = 80 ft/s

final height, h' = 5 ft

acceleration due to gravity, g = 32 ft/s^2

Let the time is t to reach the maximum height.

v = u - gt

0 = 80 - 32 t

t = 2.5 s

Let the time is t' from top to ground.

[tex]s = u t + 0.5 gt^2\\\\5 = 80 t - 16 t^2\\\\16 t^2 - 80 t + 5 = 0 \\\\t = \frac{80\pm\sqrt{6400 - 320}}{32}\\\\t = \frac{80\pm78}{32}\\\\t = 5 s or 0.0625 s[/tex]

So the tie is 5 s

The time in air is

T = 2.5 + 5 = 7.5 s  

Answer:

a1 = 4

a2 = 40

a3 = 400

a4 = 4000

Step-by-step explanation:

First substitute n with 1.

1. 4 ⋅ 10^1  - 1

4 ⋅ 10^0

4 ⋅ 1 = 4

Second substitute n with 2.

2. 4 ⋅ 10^2 - 1

4 ⋅ 10^1

4 ⋅ 10 = 40

Next substitute n with 3.

3. 4 ⋅ 10^3 - 1

4 ⋅ 10^2

4 ⋅ 100 = 400

Finally, substitute n with 4.

4. 4 ⋅ 10^4 - 1

4 ⋅ 10^3

4 ⋅ 1000 = 4000

It's simple. Just plug in 1, 2, 3, and 4 into n and solve the equation.

Answer:

9*6*7=378 square inches

Step-by-step explanation:

Using the formula V=lwh you just need to substitute the given length, width, and height. So V=9 x 6 x 7

Answer:

820

Step-by-step explanation:

Answer:

A option

Step-by-step explanation:

Pls vote as brainliest

=========================================================

Explanation:

The volume of any block is V = L*W*H where L,W,H represents length, width and height respectively. The order of multiplication doesn't matter.

The volume of the block on top is 16*4*4 = 256 cubic feet. The "16" is from the fact we subtract the 20 ft and 4 ft.

The volume of the block underneath is 10*4*4 = 160 cubic feet

Add the two volumes to get the final answer: 256+160 = 416 cubic feet.

We can abbreviate "cubic feet" into "ft^3" without quotes.

[tex]\sf\purple{24}[/tex] ✅

Step-by-step explanation:-

[tex] - 12 \times 2 \times - 1 \\ = 24[/tex]

Note:-

[tex]( - \times - ) = + [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

90°

Step-by-step explanation:

[tex]x + 90 \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \therefore \: x = 180 \degree - 90 \degree \\ x = 90 \degree [/tex]

Answer:

Step-by-step explanation:

a+(-a)

=a-a

=0

Answer:

Step-by-step explanation:

go to the back of the book

Answer:

-13

Step-by-step explanation:

simply add

Answer:

Step-by-step explanation:

a+b

-9+(-4)

-9-4

-13

Answer: Ricardo put 8 books on each shelf.

Step-by-step explanation:

Given: Number of books = 32

Number of shelves = 4

We use division operation to divide an amount into different sections equally.

By division operation,

The number of books put on each shelf = (32) ÷ 4

i.e. The number of books put on each shelf  = 8

Therefore, Ricardo puts 8 books on each shelf.

9514 1404 393

Answer:

  C)  7

Step-by-step explanation:

We have ...

  TS +SR = 19

  SR +RQ = 13

Adding these two equations together, we have ...

  TS +2·SR +RQ = 19 +13 = 32

We also have ...

  TS +SR +RQ = 25

Subtracting this from the equation above, we have ...

  (TS +2·SR +RQ) -(TS +SR +RQ) = 32 -25

  SR = 7

Answer:

HELLO I am tried to solve your question and I found 2 answer

Step-by-step explanation:

firstly we need discriminant to find x values.

you know we use b²-4ac formule to find discriminant

and this value (-3)²-[4*√2*(-2√2)]=-7 this means X hasn't reel value. let's continue.. if we want to find x value we use disc. and [-b±√∆]/2a one x value is [3+√7i]/2√2. and other is [3-√7i]/2√2

Answer:

x=0.94280

Step-by-step explanation:

see the photos it will explain how I got the answer

Answer:

.13 dollars/ ounce

Step-by-step explanation:

Take the prices and divide by the number of ounces

3.12 dollars/ 24 ounces

.13 dollars/ ounce

Answer:

3.12 divided by 24 will tell you how much it cost per ounce

Step-by-step explanation:

Answer:

[tex]112m^{2}[/tex]

Step-by-step explanation:

formula L * H =A

8*14=112

Answer:

A rectangle always has... 4 sides, 4 angles, all right angles, and opposite sides parallel

Answer:

A, B, D, E

Step-by-step explanation:

A   4 sides

В.   4 angles

D.   all right angles

E    opposites sides parallel

there is your answer follow and mark me as brainliest

Answer: number 1: 7/14

number 2: 16/24

Step-by-step explanation:

Answer:

it B

Step-by-step explanation:

just took the test.

shsnwnzjdbsbxfn

Answer:     g(x) =2^x -1  

Step-by-step explanation:   I took the test

Answer:

10.

Step-by-step explanation:

According to Pythagoras,

14^2 = 10^2 + x^2

196 = 100 + x^2

x^2 = 196-100

x^2 = 96

x = 9.8

x = 10  (nearest tenth)

Hope,  this will help and please mark me as brainliest.

Answer:

Step-by-step explanation:

I attached a picture below of what this situation looks like. As you can see, it is a right triangle problem. In order to solve for the speed of the boat, we first need to find out the difference between his distances when the angle is 60 and when it is 45. That's the same thing as finding x and y then subtracting. To find x:

[tex]sin60=\frac{200}x}[/tex] so

x = 231 meters (I rounded to the nearest whole numbers in this problem.

To find y:

[tex]sin45=\frac{200}{231+y}[/tex] so

[tex]y=\frac{200}{sin45}-231[/tex] and

y = 52.

The distance between the angles 60 and 45 as 52 meters, and it took him 2 minutes to travel that 52 meters. Assuming that his rate doesn't change, he can travel 52/2 meters per minute, or 26 meters per minute.

Given:

The table that represents the drink sales for an afternoon at the school carnival.

To find:

The experimental probability that the next drink is a small coffee.

Solution:

From the given table it is clear that,

The total number of drinks sold = 72+99+63+68+47+58

                                                     = 407

The number of small coffee sold = 63

Now, the experimental probability that the next drink is a small coffee is:

[tex]\text{Probability}=\dfrac{\text{Number of small coffee sold}}{\text{Total number of drinks sold}}[/tex]

[tex]\text{Probability}=\dfrac{63}{407}[/tex]

It cannot be simplified further.

Therefore, the experimental probability that the next drink is a small coffee is [tex]\dfrac{63}{407}[/tex].