What is the volume of a sphere that has
a radius of 11.5 units?

Answer:

21 and 22

Step-by-step explanation:

Let the two whole numbers be a and b.

Their product is 462. Hence, we can write that:

[tex]ab=462[/tex]

Likewise, because their sum is 42:

[tex]a+b=43[/tex]

This yields a system of equations:

[tex]\displaystyle \begin{cases} ab = 462 \\ a + b = 43 \end{cases}[/tex]

We can solve the system using substitution.

Isolating one variable in the second equation yields:

[tex]a=43-b[/tex]

From substitution:

[tex](43-b)(b)=462[/tex]

Distributing yields:

[tex]-b^2+43b=462[/tex]

Solve for b by factoring:

[tex]\displaystyle \begin{aligned} b^2 - 43d & = -462 \\ \\ b^2 - 43d + 462 & = 0 \\ \\ (b-21)(b-22) &= 0 \\ \\ b = 21 \text{ or } b & = 22 \end{aligned}[/tex]

Solve for a:

[tex]\displaystyle \begin{aligned} a& =43-(21) & \text{ or } a& =43-(22) \\ a&=22&\text{ or } a&=21\end{aligned}[/tex]

In conclusion, the two whole numbers are 21 and 22.

Answer:

(4√5)i

Step-by-step explanation:

Complex number is a number in the form a + bi, where both a and b are real numbers. A complex number has two parts, the first part a is the real part of the complex number and the second part b is the imaginary part of the complex number. Also, i = √(-1), hence i² = -1.

Complex numbers can also be graphed on the complex plane.

√(-80) = √(-1) × √(80)

But since √(-1) = i

√(-80) = i × √80 = i × √16 × √5 = i × 4 × √5 = (4√5)i

√(-80) = (4√5)i

Answer:

C) 4 Square Root 5 i

Step-by-step explanation:

100% on edge. When your wrist like this, you don't check the forecast

Every day it's gon' rain, yeah

Answer:

-1/2

Step-by-step explanation:

2(x-4)=6x-6

2x-8=6x-6

2x-6x-8=-6

-4x-8=-6

-4x=-6+8

-4x=2

x=2/-4

simplify

x=-1/2

Answer:

[tex]x = -\frac{1}{2}[/tex]

I hope this helps!

Answer:

28.32

Step-by-step explanation:

multply them with a calculator, then take away the numbers you dont need

Answer:

y=a/(9+3x)

Step-by-step explanation:

Reverse: 9y+3xy=a

y(9+3x)=a

y=a/(9+3x)

Answer:

m = -1

Step-by-step explanation:

First write the line in slope intercept form y = mx+b where m is the slope and b is the y intercept

x-y = 6

subtract x from each side

-y = -x+6

Multiply each side by -1

y = x-6

The slope is 1

Perpendicular lines have slopes that multiply to -1

m * 1 = -1

m = -1

The slope of the perpendicular line is -1

Step-by-step explanation:

Hey there!!!

1. Ans.

The formula for quadratic equation,

[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

2. Ans.

When, the quadratic equation is given, in the form of;

[tex]a {x}^{2} + bx + c = 0[/tex]

Then, "a" is the coefficient of x "b" is the coefficient of y. and c is the constant value.

3.Ans.

[tex] \sqrt{ {b}^{2} - 4ac } \: tells \: us \: the \: type \: of \: solutions.[/tex]

Hope it helps..

All we need to do is round up so we don't have any decimal.

Remember:

4 and below rounds down

5 and above rounds up

Since we have the number "0" in the tenths place, its below 0 so we round down.

7,425.07 -> 7,425

Therefore, the answer is [ 7,425 ]

Best of Luck!

Answer:

Y = 1148.92(0.94^x) ; Y = 2.4

Step-by-step explanation:

Given the following data :

(14,500),(23,320),(37,150),(41,87),(56,40),(70,21)

X:

14

23

37

41

56

70

Y:

500

320

150

87

40

21

The exponential regression equation is expressed in the form :

Y = AB^x

A = Initial value

B = rate ; x = time

Using the online exponential regression calculator on the data provided :

Y = 1148.92(0.94^x)

Y = prediction

Estimate y, when x = 100

Y = 1148.92(0.94^100)

Y = 1148.92(0.0020548)

Y = 2.360800816

Y = 2.4

Answer:

2.4

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer: As the order quantity increases, annual ordering cost increases

Step-by-step explanation:

The Economic Order Quantity (EOQ) is simply referred to as the amount of units that should be added by a company to its inventory with each order in order to minimize total inventory costs such as order costs, holding costs, and shortage costs.

The incorrect option is that "as the order quantity increases, annual ordering cost increases". It should be noted that ordering costs are simply the expenses that are incurred in order for an order to be created and processed to a supplier. It should be noted that as the ordering quantity increases, it doesn't mean that the annual ordering costs also increase.

Answer:

4, 6, 8

Step-by-step explanation:

Let the three consecutive integers be a, b, and c.

So, first, we know that they are three consecutive even integers. In other words:

[tex]a=2n,b=2n+2,c=2n+4[/tex]

N is any integer, but the 2n ensures that the outcome is even. Since we want to make the subsequent terms also even, we add 2.

We are told that when the first integer (a) is multiplied by the third integer (c), the result is 2 more than 5 times the second integer (b). In other words:

[tex]ac=2+5b[/tex]

Substitute:

[tex](2n)(2n+4)=2+5(2n+2)[/tex]

Distribute both sides:

[tex]4n^2+8n=2+10n+10[/tex]

Add on the right:

[tex]4n^2+8n=10n+12[/tex]

Subtract 10n and 12:

[tex]4n^2-2n-12=0[/tex]

Divide everything by 2:

[tex]2n^2-n-6=0[/tex]

Factor. Find two numbers that when multiplied equals (2)(-6)=-12 and when added equals -1.

3 and -4 works. Thus:

[tex]2n^2-4n+3n-6=0\\2n(n-2)+3(n-2)=0[/tex]

Combine:

[tex](2n+3)(n-2)=0[/tex]

Zero Product Property:

[tex]2n+3=0\text{ or } n-2=0[/tex]

Solve for n:

[tex]n=-3/2\text{ or } n=2[/tex]

So, n is either -3/2 or 2.

That means that a must be either:

[tex]a=2(-3/2)\text{ or } 2(2)[/tex]

Multiply:

[tex]a=-3\text{ or } 4[/tex]

The first answer is not even. So:

[tex]a=4[/tex]

Our first answer is 4.

And our sequence is 4, 6, and 8.

Checking:

4 times 8 is 32.

2 plus 5 times 6 is also 32.

So our answer is correct.

Answer:

20÷10=2. 10,000÷10=1,000

Therefore, the probability of two randomly selected chips being defective is 2 in 1,000 or 2/1,000

Answer:

-7,-5,-1,0

Step-by-step explanation:

The reason behind this is because if you think about it -7 is small number due to it being in the other side of the number line, and same goes with -5 and -1

Answer:

The page numbers are 266 and 267

Step-by-step explanation:

I divided 533 by 2

Then get 266.5

Then guessed and checked which pages around that value added up to 533

and you get pages 266 and 267

Answer:

Number of girls = 90

Number of boys = 125

Number of Adults = 20

Step-by-step explanation:

Let us represent:

The number of girls = g

The number of boys = b

Number of Adults = a

235 people are at RSM summer camp.

Hence,

g + b + a = 235 .......Equation 1

There are 35 more boys than girls, and 70 fewer adults than girls.

b = g + 35

a = g - 70

Hence we substitute g + 35 for b and g - 70 for a in Equation 1

g + b + a = 235 .......Equation 1

g + g + 35 + g - 70 = 235

3g + 35 - 70 = 235

3g - 35 = 235

3g = 235 + 35

3g = 270

g = 270/3

g = 90

Hence, there are 90 girls in the party.

Number of boys is calculated as:

b = g + 35

b = 90 + 35

b = 125

Number of Adults is calculated as:

a = g - 70

a = 90 - 70

a = 20

How many people of each group are at the camp?

Number of girls = 90

Number of boys = 125

Number of Adults = 20

Answer:

There are 90 girls, 125 boys, and 20 adults.

Step-by-step explanation:

Let x be the number of girls. How many boys were there?

x + 35

How many adults were there?

x - 70

We know that 235 people are at RSM summer camp. Use this to make an equation.

x + (x + 35) + (x - 70) = 235

x + x + 35 + x - 70 = 235

3x - 35 = 235

3x - 35 + 35 = 235 + 35

3x = 270

3x ÷ 3 = 270 ÷ 3

x = 90

x, x + 35, x - 70

90, 125, 20

Answer: Equilateral, Isosceles and Scalene

hope this helped (let me know if it did)

Answer:

C

Step-by-step explanation:

26*19=494

494/2=247

Answer:

8

Step-by-step explanation:

3 [tex]x[/tex] 8 = 24

24-6=18

so its 8

Answer:

D) A Line Segment ​

Step-by-step explanation:

pentagon. is the answer for this one

Answer:

A:rational hope this helps mark brainlest

Step-by-step explanation:

find x first 72-18+6=48

now make x=48

48-6=42

now x is 42

42+18=60

now x=60

Thnks!

|Brailiest!!!!!!!!!

Answer:

13 miles

Step-by-step explanation:

Add all of the number of miles you ran from each day to get your total mileage.

2+2+3+2+4

Answer:

72 wings

Step-by-step explanation:

[tex]1 \:friend = 9 \:wings\\8 \: friends = x\:wings\\\\[/tex]

Cross Multiply

[tex]x = 9\times 8\\\\x = 72 \:wings[/tex]

The order came with 72 wings. 72 divided by 9=8, 8 times 9=72

Answer: x = 15

Step-by-step explanation: In this problem, since 7 is being subtracted

from x, add 7 to both sides of the equation to get x by itself.

On the left side, -7 + 7 will cancel out and

on the right side, 8 + 7 simplifies to 15.

So x = 15.

The value of x in the given equation x - 7 = 8 is 15.

Given that an equation x - 7 = 8, we need to solve for x.

To solve for x in the equation x - 7 = 8, you want to isolate x on one side of the equation.

Follow these steps:

Step 1: Add 7 to both sides of the equation to isolate x on the left side:

x - 7 + 7 = 8 + 7

Simplifying the left side, the -7 and +7 cancel out, leaving:

x = 15

Step 2: Check your solution by substituting the value of x back into the original equation:

x - 7 = 8

Substitute x with 15:

15 - 7 = 8

Simplify the left side:

8 = 8

Since the left side equals the right side, we have verified that x = 15 is indeed the correct solution for the equation.

Hence, the answer is x = 15.

Learn more about equation click;

https://brainly.com/question/10724260

#SPJ6

Answer:

[tex] < JHP \\ < H[/tex]

Step-by-step explanation:

[tex] < [/tex]

Note the letter in the number carries the angle I

sign.

According to the diagram, H is the angle

Answer:

The answer to this one is <JHP and <H

Step-by-step explanation:

Answer: 1=2 so your answer would be false.

Step-by-step explanation:

Answer:

The answer is 1=2 which is false.

Step-by-step explanation:

5-1+(-3)= 3+(-1)

or, 5-1-3 = 3-1

or, 5-4 = 2

or, 1=2