Which is a solution to (x - 2)(x + 10) = 13?
оооо
х = 3
х = 8
х = 10
х = 11

Answer:

38.3

Step-by-step explanation:

Since the patio is a square all of the sides have to be equal.

153/4=38.25

Rounded to the nearest tenth the answer is 38.3

Each side of the patio is approximately 38.3 feet long.

Answer:

3.32ft

Step-by-step explanation:

The wire and the poles attached to the ground form a right triangle with the length of the wire being the hypotenuse.

Using Pythagoras Theorem:

Hypotenuse²=Adjacent²+Opposite²

6²=5²+x²

x²=36-25

x²=11

x=√11=3.32 ft.

The wires are attached 3.32 ft from the base of the pole on the ground

Answer:

The question can be answered by using a Pythagoras' Theorem :  [tex]c^2=a^2+b^2[/tex] to find the base of  the pole to which each wire is  attached to the ground.

Step-by-step explanation:

the base of the pole is represented by b.

the height of the pole is represented by a= 5 feet

the length of t he wire is represented by c=5 feet.

Thus, using the Phytagoras Theorem,

c^2=a^2+b^2,

[tex]6^2=5^2+b^2\\36=25+b^2,\\36-25=b^2\\Thus, b^2=11,\\b=\sqrt 11[/tex] or b=3.3.

Thus , each wire i attached by about 3.3 feet to the base of the pole.

Answer:

Step-by-step explanation:

Inequality 1 is graphed in blue and inequality 2 is graphed in red. The overlap of the shaded regions (purple shading) represents the solution. ... Inequality 1 is graphed in blue and inequality 2 is graphed in red. In this case the regions do not overlap. This indicates that there is no solution to the system

Answer:

Inequality 1 is graphed in blue and inequality 2 is graphed in red. The overlap of the shaded regions (purple shading) represents the solution. ... Inequality 1 is graphed in blue and inequality 2 is graphed in red. In this case the regions do not overlap. This indicates that there is no solution to the system

I hope this helps good luck!

Step-by-step explanation:

Given

f(x) = (11)^x + 2

f(1) = 11^1 + 2

= 11 + 2

= 13

Answer:

the answer is 765.45

Step-by-step explanation:

if I ounce equals 28.35 grams

then 27 ounces equals to 28.35 ×27

=765.45

which is already in two decimal places

Answer:

$125

Step-by-step explanation:

1500/12

125

Answer:

125

Step-by-step explanation:

1,500 divided by 12 is 125

Answer:

please explain it better.

Step-by-step explanation:

The student needs to use the average rate of change formula correctly. For the function f(x) = 0.5x^2 and the interval [-4, -2], the correct average rate of change is -3.

The student is looking to find the average rate of change of the function f(x) = 0.5x^2 over the interval [-4,-2]. The average rate of change of a function over the interval [a, b] is calculated by the formula: (f(b) - f(a)) / (b - a).

For our function and interval this calculates to (f(-2) - f(-4)) / (-2 -(-4)). f(-2) is 0.5(-2)^2 = 2, and f(-4) is 0.5(-4)^2 = 8. Substituting into the formula gives (2 - 8) / (-2 -(-4)) = -6 / 2 = -3. So the correct average rate of change for f(x) = 0.5x^2 over the interval [-4,-2] is -3.

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Answer:

Step-by-step explanation:

hello :

use equation for this circle  : the center is : O(0,0)

the radius is 13

let (∆) this tangent in A(5,12)  where an equation is : y-y1 = m(x-x1)

x1 = 5     and    y1 =12    calculate : m the slope of this tangent

but (∆)  tangent in A(5,12) for this circle : means the line (OA)⊥tangent(∆)

the slope of (OA)×m = -1

but the slope of (OA)= (12-0)/(5-0)=12/5

(12/5)×m =-1   so : m=-5/12

an equation for this tangent is  y-12 = (-5/12)(x-5)

Answer:

12y + 5x = 169

Step-by-step explanation:

Slope of the normal:

(12-0)/(5-0)

12/5

Slope of the tangent

-5/12

y - 12 = (-5/12)(x - 5)

12y - 144 = -5x + 25

12y + 5x = 169

Answer:

3/4

Step-by-step explanation:

When you see "of" and there's a fraction involved, you can usually multiply them to find the answer. 1/4 * 3 = 3/4.

Answer:

[tex]638 in^{2}[/tex]

Answer:

a and c

0.9

0.1

1

Step-by-step explanation:

ez

To calculate the cost as a percentage of sponsorship revenue, divide the administrative cost by the sponsorship revenue and multiply by 100. The cost as a percentage of sponsorship revenue is 15.16%.

To calculate the cost as a percentage of sponsorship revenue, we need to divide the administrative cost by the sponsorship revenue and multiply by 100.

Step 1: Divide the administrative cost ($47,000) by the sponsorship revenue ($310,000).
$47,000 ÷ $310,000 = 0.1516

Step 2: Multiply the result by 100 to convert it to a percentage.
0.1516 x 100 = 15.16%

The cost as a percentage of sponsorship revenue is 15.16%.

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Answer:

d

Step-by-step explanation:

The correct answer is option C: 13 meters. Jacob and Sharon are approximately 13 meters apart.

To determine how far apart Jacob and Sharon are now, we first need to find their final positions and then calculate the distance between those points.

Step-by-Step Solution

→ Jacob's Movement:

He walked 3 meters north and then 4 meters west.

→ Final position of Jacob: (-4, 3).

Sharon's Movement:

→ She walked 5 meters south and then 12 meters east.

→ Final position of Sharon: (12, -5).

To find the distance between their final positions, we can use the Pythagorean theorem. The distance d between the points (-4, 3) and (12, -5) is calculated as follows:

→ d = √[(12 - (-4))² + (-5 - 3)²]

= √[(12 + 4)² + (-8)²]

= √[(16)² + (8)²]

= √[256 + 64]

= √320

= √(16 × 20)

= 4√20

= 4√(4 × 5)

= 8√5

≈ 13 meters

→ Thus, Jacob and Sharon are approximately 13 meters apart.

Given:

Given that the height of the cone is 12 ft.

The volume of the cone is 90 ft³

We need to determine the area of the base of the cone.

Area of the base of the cone:

The area of the base of the cone can be determined using the formula,

[tex]V=\frac{1}{3} \pi r^2 h[/tex]

where the base area is [tex]A=\pi r^2[/tex]

Substituting the value of A in the above formula, we get,

[tex]V=\frac{1}{3}A h[/tex]

Substituting V = 90 and h = 12, we get;

[tex]90=\frac{1}{3}A (12)[/tex]

[tex]90=4A[/tex]

Dividing both sides by 4, we get;

[tex]22.5 =A[/tex]

Thus, the area of the base of the cone is 22.5 square feet.

Hence, Option c is the correct answer.

Answer:

2/3

Step-by-step explanation:

Answer:

Event A : stops on an even number

Event B: stops on blue

Find the P ( A or B )  

2/3

Answer:

the correct answer is

D. 80 ft^3

vol. of pyramid = (l× w × h)/3

= (6×8×5)/3

= 80 ft^3

Answer:

Step-by-step explanation:

Answer:

Bill will earn more interest

He will earn $ 20,448.67 from his investment

Step-by-step explanations

Firstly let us calculate Jim's earnings based on simple interest

A = P(1 + rt)

Calculation:

First, converting R percent to r

a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

Solving our equation:

A = 15000(1 + (0.035 × 25)) = 28125

A = $28,125.00

The total amount accrued, principal plus interest, from simple interest on a principal of $15,000.00 at a rate of 3.5% per year for 25 years is $28,125.00 for Jim

Now let's us calculate bill's investment based on compound interest

Equation

A = P(1 + r)^t

A=15000(1+0.035)^25

A=15000(1.035)^25

A=15000*2.36324498427

A = $ 35,448.67

We see that Bill will earn

$ 20,448.67 from his investment

Answer: b. Damarias median sale is $52

Step-by-step explanation:

Hi, the correct option is b. Damarias median sale is $52.

If we rank the sales order from lowest to highest

28 46 48 48 52 52 59 60 71 192

Since 52 is the middle value, it's the median, because 4 sales are above it and 4 sales are below it.

Feel free to ask for more if needed or if you did not understand something.

Answer:

B

Step-by-step explanation:

each time she sells 2 cards she gets $9 right?

so counting by 2's is the best route to go on and the only answer that displays that is answer B

Mathematical tables are collections of numbers that represent the outcome of computation with varied arguments. The correct table is B.

Mathematical tables are collections of numbers that represent the outcome of computation with varied arguments.

Given that Isabella sells 2 cards for $9. Therefore, the cost of 1 card will be,

[tex]\text{Cost of 1 card} = \dfrac{\$9}{2} =\$4.5[/tex]

Now, checking the options,

A.) The table is wrong because the cost of 11 cards will be $49.5, instead of 50.5.

B.) The table is correct because all the values are correct.

C.) The table is wrong because the cost of 27 cards will not be equal to $6.

D.) The table is wrong because the cost of 3 cards will not be equal to $10.

Hence, the correct table is B.

Learn more about Table:

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Answer:

The differences are each squared.

Step-by-step explanation:

Thats the answer I just took the test and its a on edgenunity

Answer:

A

Step-by-step explanation:

A food chain is a single pathway connecting a producer with several levels of consumers. In a typical marine food chain, dinoflagellates convert energy from sunlight into food through photosynthesis and store it in their tissues. Copepods feed on dinoflagellates and incorporate this energy into their own tissues.

Answer: a) 70 mph

b) 80 mph

Step-by-step explanation:

Given that Kayleen left home at noon and drove to boston.she got there at 4:00. Then time spent will be 4 hours . Noon means 12pm

Distance covered = 280 miles kayleens average speed will be

Speed = distance/time

Speed = 280/4 = 70 mph

Given that Elijah was already 40 miles closer than Kayleen was when she started

Distance covered by Elijah will be

Distance = 40 + 280 = 320

Time = 4 hours

Speed = 320/4 = 80 mph

Jenny's future age would be expressed as ((x+4)/(2x+4))*100 percent of Benny's future age, where x is Jenny's current age.

To solve this problem, we first note that Benny is currently 200% of Jenny's age, meaning Benny's age is twice that of Jenny. So let's denote Jenny's current age as x - Benny's age will be 2x.

In 4 years, Jenny's age will be x+4 and Benny's age will be 2x+4. To calculate what percent of Benny's future age will Jenny's future age be, we have to divide Jenny's future age (x+4) by Benny's future age (2x+4) and then multiply by 100 to get the percentage. Therefore, Jenny's age will be ((x+4)/(2x+4))*100 percent of Benny's age.

Since we don't know their real ages, this is the most accurate answer we can provide, expressed as an algebraic equation. In real-life situation with the real ages known this equation would allow to find out what percent of Benny's age will Jenny’s age be in 4 years.

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If Jenny's age is x, Benny's age is 2x. In 4 years, Jenny's age will be x+4 and Benny's will be 2x+4. To calculate what percent of Benny's age Jenny's age will be, we can use this formula: ((x+4)/(2x+4)) × 100.

Let's start by expressing Benny's age in terms of Jenny's age. If Benny's age is currently 200% of Jenny's age, then mathematically, we can say:

Benny's age = 200% of Jenny's age

B = 2 × x

Now, let's assume Jenny's age is represented as J. So, Benny's age is 2 × x.

If we want to find out what percent of Benny's age Jenny's age will be in 4 years, let's calculate it step by step.

In 4 years, Benny's age will be:

Benny's age in 4 years = Benny's current age + 4

Benny's age in 4 years = 2 × x + 4

Jenny's age in 4 years will be:

Jenny's age in 4 years = Jenny's current age + 4

Jenny's age in 4 years = x + 4

Now, let's find out what percent of Benny's age Jenny's age in 4 years will be:

Percent = (Jenny's age in 4 years / Benny's age in 4 years) × 100

Percent = (x + 4) / (2 × x + 4) × 100

This calculation will give us the percentage of Jenny's age compared to Benny's age in 4 years.

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Answer: Your answers are all correct.

Step-by-step explanation: Good Job :D

Answer:

EM = 73 m

Step-by-step explanation:

Using the right triangle MOE

with legs MO = 48. EO = 55 and hypotenuse EM

Applying Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

EM² = 48² + 55² = 2304 + 3025 = 5329 ( take the square root of both sides )

EM = [tex]\sqrt{5329}[/tex] = 73

Look at the attached picture⤴

Hope it will help u...

Answer: D (He could poll all students in a 9th grade, 10th grade, 11th grade, and 12th grade English class.)

Explanation: It states that he needs a random sample from every grade level.