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\( {( \sqrt{9)} }^{2} \)

\( ={3}^{2} \)

\( = 9\)

\( {9}^ \frac{1}{2} \)

\( = ({3}^{2} ) ^{ \frac{1}{2} } \)

\( = 3 ^{1} \)

\( = 3\)

Answer:

Let x = the age of the youngest child

Let x + 1 = the age of the middle child

Let x + 2 = the age of the oldest child

x + x + 1 + x + 2 = 39

3x + 3 = 39

3x = 36

x = 12 years

Answer:

The slope of the one of the top is -1/4

The slope of the one on the bottom is 1/6

Step-by-step explanation:

The one on the top goes down by 1 (negative) and goes 4 to the right (positive), which can be written as -1/4, which is the slope.

The one on the bottom goes up by 1 (positive) and goes to the right by 6 (positive), which can be written as 1/6, which is is the slope.

Answer:

5/8 inch

Step-by-step explanation:

4/5 mile = 1/2 inch

1/5 mile = 1/8 inch

5/5 mile = 5/8 inch

Answer:

So here is how we are going to know the answer. Since 1/2 mile is equal to 4/5 mile, so we will solve this using proportions. 1/2 inches : 4/5 mile  :  ?  : 1 mile. So the answer would be 5/8 inch. We cross multiply 1 by 1/2 then divided by 4/5 which gave us 5/8. Hope this answer helps.

Let's begin by expressing each person's age in writing using the information from the question:

According to the issue, Anna's age might be expressed as: x

x=25

John's age may be expressed as: x + 1 since he is Anna's age plus one.

John's Age=25+1 = 26

x+1 = 26

Tamara's age may be expressed as x - 2 since it is Anna's age substracted by two.

Tamara's Age = 25-2 =23

x-2 = 23

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Answer:

5

Step-by-step explanation:

\(\triangle HBK \cong \triangle NBK\) by SAS. Using CPCTC, \(3x=x+10 \implies 2x=10 \implies x=5\).

Given:-

Solution:-

p³+10+m-m

put the value of p nd m in eqⁿ :

━━━━━━━━━━━

hope it helps⸙

The value of expression at m = 8 and p = 3 is,

⇒ 37

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ p³ + 10 + m - m

Now,

Put m = 8 and p = 3 in above expression, we get;

⇒ p³ + 10 + m - m

⇒ 3³ + 10 + 8 - 8

⇒ 27 + 10

⇒ 37

Thus, The value of expression at m = 8 and p = 3 is,

⇒ 37

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9514 1404 393

Answer:

  yes

Step-by-step explanation:

f(0) = -3 +0.5×0 = -3

f(1) = -3 +0.5×1 = -2.5 = f(0) +0.5

Two linear functions are the same if they agree at two points. Here, f(0) and f(1) are the same for both forms of the function, so these different forms represent the same relation.

Diego is correct.

Answer:

x=3 or x=9

Step-by-step explanation:

3=|6−x|

3=|−x+6|

Step 1: Flip the equation.

|−x+6|=3

Step 2: Solve Absolute Value.

|−x+6|=3

We know either −x+6=3or−x+6=−3

Possibility 1:

−x+6=3

−x+6−6=3−6 (Subtract 6 from both sides)

−x=−3

Divide both sides by -1

x=3

Possibility 2:

−x+6=−3

−x+6−6=−3−6 (Subtract 6 from both sides)

−x=−9

Divide both sides by -1

x=9

Answer:

I dont get what u are asking but i think it is 2X

Step-by-step explanation:

2X

Based on the information provided, the visibility distance for Pretoria in kilometers is 19.30 kilometers.

The table shows the visibility from Pretoria is 12, miles, while the visibility in Cape Town is 6 miles. This implies we need to change miles to kilometers. These two units are used for distance but they are not equivalent as 1 mile =  1.609 kilometers, knowing this, let's calculate the distance in kilometers:

12 miles x 1.609 =  19.30 kilometers.

Note: This question is incomplete, below I attach the missing information:

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The total volume of the air space of spherical ball is A = 12.265625 inches³

Given data ,

Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.

The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.

The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.

The formula for the volume of a cylinder is:

V = πr²h

V = ( 3.14 ) ( 1.25 )² ( 7.5 )

V = 36.796875 inches³

where V is the volume, r is the radius, and h is the height.

So, the volume of the one ball is:

V₁ = ( 4/3 )π(1.25)³

V₁ = 8.177083 inches³

The total volume of three balls is = volume of 3 spherical balls

V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches

Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³

A = 12.265625 inches³

Hence , the volume of air space is A = 12.265625 inches³

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The correct answer is Option D) x equals 9 plus or minus the Square root of 61, all over 2.

The exact solutions of the quadratic equation x^2 - 9x + 5 = 0 using the quadratic formula, we can use the following formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, the coefficients of the equation are:

a = 1

b = -9

c = 5

Substituting these values into the quadratic formula:

x = (-(-9) ± √((-9)^2 - 4(1)(5))) / (2(1))

Simplifying:

x = (9 ± √(81 - 20)) / 2

x = (9 ± √61) / 2

Therefore, the exact solutions of the equation x^2 - 9x + 5 = 0 are:

x = (9 + √61) / 2   (Option D)

x = (9 - √61) / 2   (Option D)

So, the correct answer is Option D) x equals 9 plus or minus the square root of 61, all over 2.

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\((-5q^{2} p)^3\\-125q^6p^3\)

Final answer: \(-125p^3q^6\)

Its Taylor polynomial T3(x) for function f with the number an as the center is T 3(x)=(x 2 + 61 x 2 ). 3

Sums of terms with the pattern kxn—where k is any positive integer and n is an arbitrary number—are known as polynomials. A polynomial is something like 3x+2x-5. Polynomials: An introduction In this video, basic terms such terms, degrees, standard form, monomial, binomial, and trinomial are covered. A polynomial is a function that exclusively uses positive integer exponents or non-negative integer powers of a variable in an equation, such as a quadratic or cubic equation. A polynomial with an exponent of 1 is, for instance, 2x+5.

T 3 (x)=f(a) + 1!f ′ (a)(xa) + 2!f ′′(a)(xa) 2 plus 1 3!f ′′′(a)(x−a) 3=0plus 1!−1(x− 2π)+ 2!0(x− 2π) 2 plus 1 3!1​ (x− 2π) 3=−(x− 2π)+ 61\s(x− 2π) 3

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Answer:

if it's m^2-16, than it's B, (m+4)(m-4)

Step-by-step explanation:

remember (a+b)(a-b)=a^2-b^2, or m^2-4^2=m^2-16

Answer:

x < 16, the third option.

Step-by-step explanation:

1/4x + 1 < 5

1/4x < 4

x < 16

Answer: If you didn't understand the other answer its the number line that has 16 and back or as you can say number 1 Hope this helps!!

Step-by-step explanation:

Answer: 40 years old.

Step-by-step explanation:

Let man's age = a

Let son's age = b

Since a man is 4 times as old as his son, therefore

a= 4b

In 5 years, he will only be 3 times as old as his son, therefore

a+5=3(b+5)

Apply substitution method :

4b+5=3b+15

b=10

a=40

Answer:

\( \huge \boxed{ \boxed{\tt y < - 2x + 7 }}\)

Step-by-step explanation:

let's figure out the slope

two points (2,3),(0,7)

\(m = \frac{ 3 - 7 }{ 2 - 0}\)

\(m = \frac{ - 4}{2} \)

\(m = - 2\)

y-intercept:7

therefore

our linear inequality is

\(\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }\)

\(\huge\underline{\sf{\red{Problem:}}}\)

\(\underline{\sf{\red{Fomula \:for\:linear\:equation:}}}\)

\(\quad\quad\quad\quad\sf{y = \: mx + b }\)

\(\underline{\sf{\red{Fomula \: for \: slope:}}}\)

\(\quad\quad\quad\quad\sf{m = \frac{ \small{y} \tiny{2 } - \small{y} \tiny{1}}{\small{x} \tiny{2 } - \small{x} \tiny{1}} }\)

\(\quad\quad\quad\quad\sf{m = \frac{3 - 7}{2 - 0} }\)

\(\quad\quad\quad\quad\sf{m = \frac{ - 4}{2} }\)

\(\quad\quad\quad\quad\sf{ \boxed{ \sf{m = - 2} }}\)

\(\underline{\sf{\red{Solution \: for \: y \: intercept:}}}\)

\(\quad\quad\quad\quad\sf{y = \: mx + b }\)

\(\quad\quad\quad\quad\sf{y = \: (- 2) + ( - 5) }\)

\(\quad\quad\quad\quad \boxed{\sf{y = 7 }}\)

\(\underline{\sf{\red{Answer \: for \: inequality:}}}\)

\( \huge\quad\quad \underline{\boxed{\sf{ \red{y < - 2x + 7 }}}}\)

\(\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }\)

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✍︎ C.Rose❀

Answer:

x=7

x=4

x=1/9

Step-by-step explanation:

For number 9 you can either type out the work or say something like:

To solve all of the problems in Question 8 I had to move all of the terms without an (x) to the right side. After I did this I divided everything by the number attached to the (x) to find the value of (x) by itself.

Answer and Step-by-step explanation:

8a.

3x + 6 = 27

Subtract 6 from both sides.

3x = 21

Divide 3 from both sides.

x = 7

8b.

6x + 3 = 27

Subtract 3 from both sides.

6x = 24

Divide 6 from both sides.

x = 4

8c.

27x + 3 = 6

Subtract 3 from both sides.

27x = 3

Divide 27 from both sides.

x = 3/27

Simplify the fraction

x = 1/9

9.

The above steps are the reasonings for the above answers.

Answer:

3 3/4

Step-by-step explanation:

3/4×5

15/4

simplify

3 3/4

Answer:

Ashley needs \(3\frac{3}{4}\) cups of sugar

Step-by-step explanation: 3/4 multiplied by 5 is 3.75 or 3 3/4

Answer:

Start at (−6,−3) and count up 2 units and right 1 unit to find a second point. Connect the two points with a line to find the graph.

Step-by-step explanation:

Start by plotting the point (−6,−3). Use the slope formula m=rise/run to identify the rise and the run.

m=2

rise/run = 2/1

rise = 2

run = 1

Start at (−6,−3) and count up 2 units and right 1 unit to find a second point. Connect the two points with a line to find the graph.

Answer:

e) 1.56%

f) 15.62%

h) 0.879%

g) 11.72%

Step-by-step explanation:

What we will do is solve point by point.

e)  A fair coin lands Heads 6 times in a row?

We have the following:

Total number of possible outcomes = 2 ^ 6 = 64

Number of favorable outcomes = 1

Required probability = 1/64 = 1.56%

f) A fair coin lands Heads 4 times out of 5 flips

We have the following:

Total number of possible outcomes = 2 ^ 5 = 32

Number of favorable outcomes = 5C4

nCr = n! / (r! * (n-r)!)

5C4 = 5! / (4! * (5-4)!) = 5

Required probability = 5/32 = 15.62%

g) he bit string has exactly two 1s, given that the string begins with a 1 if you pick a bit string from the set of all bit strings of length ten?

We have the following:

Total number of possible outcomes = 2 ^ 10 = 1024

Number of ways in which a position excluding the start of the string can be chosen is 9C1

Total number of favorable outcomes = 9C1

9C1 = 9! / (1! * (9-1)!) = 9

Required probability = 9/1024  = 0.879%

h)The bit string has the sum of its digits equal to seven if you pick a bit string from the set of all bit strings of length ten?

We have the following:

Total number of possible outcomes = 2 ^ 10 = 1024

For the sum of the digits to be 7 there has to be 7 ones.

Number of ways in which 7 position can be chosen is 10C7.

Total number of favorable outcomes = 10C7

10C7 = 10! / (7! * (10-7)!) = 120

Required probability = 120/1024 = 11.72%

The amount of Duane's first payment that goes to interest is approximately $26.47.

To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.

The formula to calculate the interest portion of a loan payment is:

Interest = Remaining Balance * Monthly Interest Rate.

Let's calculate the interest for the first payment using the given information:

Loan Amount = $5,000.00

Monthly Payment = $118.57

First, we need to calculate the monthly interest rate:

Monthly Interest Rate = Annual Interest Rate / 12

= 6.5% / 12

= 0.00542

Next, we need to calculate the remaining balance after the first payment:

Remaining Balance = Loan Amount - Principal Paid

= $5,000.00 - $118.57

= $4,881.43

Finally, we can calculate the interest portion of the first payment:

Interest = Remaining Balance * Monthly Interest Rate

= $4,881.43 * 0.00542

= $26.47

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Answer:

\(x + 90 \degree + 57\degree = 180\degree \\ x = (180 - 57 - 90)\degree \\ x = 33\degree\)

\(y = 2\)

Answer:

4/8

Step-by-step explanation:

Answer:

Solution given:

equation is:

x²-40x+A=0

when A=200

equation becomes

x²-40x+200=0

Comparing above equation with ax²+bx+c=0 we get

a=1

b=-40

c=200

x=\(\displaystyle \frac{-b±\sqrt{b²-4ac}}{2a}\)

substituting value

x=\(\displaystyle \frac{-*-40±\sqrt{(-40)²-4*1*200}}{2*1}\)

x=\(\displaystyle \frac{40±\sqrt{800}}{2}\)

x=\(\displaystyle \frac{40±20\sqrt{2}}{2}\)

taking positive

x=\(\displaystyle \frac{40+20\sqrt{2}}{2}\)

x=34.14

taking negative

x=\(\displaystyle \frac{40-20\sqrt{2}}{2}\)

x=5.86

Answer:uhhhhh 300

Step-by-step explanation:

I don’t really need to explain bc all u need to do is take the 80 and 4 away and u have only 300