Please help! I don’t know what I did wrong. Thank you!

Answer:

Step-by-step explanation:

28 : 50 and 15 : 30

14 : 25 and 1 : 2 are not equivalent

Answer:

512 ft and 1,232 ft

Step-by-step explanation:

area is length x width

the pool's area can be calculated doing 32ft x 16ft

the area of the pool is 512 ft

the deck's area can be calculated doing 28ft x 44ft

the area of the deck is 1,232 ft

you're welcome<3

Solution:

Given:

Using the trig ratio of cot;

The hypotenuse is gotten using the Pythagoras theorem;

Thus, the sketch of the right triangle is;

Hence,

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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Answer: A.

Step-by-step explanation:

Hope this helps!

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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The measure of angle:-

angle 1 = 78 degree

angle 2 = 40 degree

angle 3 =  140 degree  

A triangle is a type of polygon which have only three vertices and no parallel sides.

 In this question we use property of triangle that :-

1:- Sum of interior angle is 180 degree

2:-Exterior angle of a triangle is equal to the sum of angle of opposite sides

A.T.Q:-

  lets vertices of triangle be A,B, and C    

  so,

       angle A + angle B +angle C = 180

       62 +78+ angle C = 180

      140 + angle C = 180

      angle C =40 degree

we know that , angle C and angle 3 makes 180 degree

                        angle C + angle3 =180     , 40+ angle 3= 180

angle 3 = 140 degree                                                                                     And ,  angle 2 = angle C

                :- angle 2=40                                                                               finally;

               angle 1 =  angle B

               angle 1 = 78 degree

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Answer:

The number is 500.

Step-by-step explanation:

Let n be the number

Convert percent to decimal

20% = 0.20

0.20n = 100

Divide both sides of the equation by 0.20

0.20n/0.20 = 100/0.20

n = 500

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Answer:

it could help you so you don't have to count on your fingers

Step-by-step explanation:

5 divided by 2

5 times 2 = 10

so your answer would be 2

Answer:

y=400(1.5)^4

Step-by-step explanation:

Answer:

4,589,200

Step-by-step explanation:

Answer:

4589200

Step-by-step explanation:

hope this helps!! :D

Answer:

230 degrees

Step-by-step explanation:

draw a horizontal line from x and use congruent rule to have a full 360 degree circle. You can now subtract 60 and 70 from 360 degrees leaving you with 230 degrees as x

The value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

In the given table, Tasha observed a pattern in the powers of 4. When the exponent decreases by 1, the previous value is divided by 4. Using this pattern, she determined the values for 4 squared, 4 Superscript 1, 4 Superscript 0, 4 Superscript negative 1, and 4 Superscript negative 2.

To find the value of 4 Superscript negative 3, she divided the previous value (StartFraction 1 Over 16 EndFraction) by 4, resulting in StartFraction 1 Over 64 EndFraction.

Similarly, for 4 Superscript negative 4, she divided the previous value (StartFraction 1 Over 64 EndFraction) by 4, yielding StartFraction 1 Over 256 EndFraction.

Finally, to rewrite the value for 4 Superscript negative 4, she expressed it as negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

Therefore, the value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction, which simplifies to StartFraction 1 Over 256 EndFraction

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The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.

Subjects are the different sets of information which is studied.

9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.

The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.

Thus, the correct option is C, 9th graders in her school.

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The rate of change of the given graphed function in the diagram is: D. 5/2.

Rate of change of a function = slope = change in y / change in x.

Using the two points on the coordinate plane, (4, 0) and (8, 10):

Rate of change = (10 - 0) / (8 - 4)

Rate of change = 10/4

Rate of change = 5/2

Rate of change of the function is: D. 5/2.

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Answer:

There are several ways to solve this. If 1 serving = 1/4 pound, then 4 servings = 1 pound. 6 pounds *4=24 servings. That leaves 1/3 of a pound. 1/4 pound is less than 1/3 pound, so you get one more serving. That makes 25 servings, and 1/12 of a pound left over. How do you know it is 1/12? Well, LCD (lowest common denominator) shows that 1/3-1/4= 4/12-3/12=1/12.

Answer: -6

Step-by-step explanation:

Answer:

a² + c² = 641

Step-by-step explanation:

Given :-

For exactly one Solution ,

Also ,

Answer: I'm pretty sure the correct answer is (B)  Let me know if i'm correct!

Step-by-step explanation:

Answer:

f(-4) = -1

f(-1) = -4

f(1) = 4

Step-by-step explanation:

We need to find the y value for the x values

f(-4) means find the y value for x= -4

f(-4) = -1

f(-1) = -4

f(1) = 4

Answer:

it cant be if the term 9p and 9c is together but if it 9p and 9c both are in product form then your answer is -p+c

Answer:

40 total students

Step-by-step explanation:

with any ratio, you can look at it like a fraction. 2:3 boys to girls becomes 2/3.

given that there are 24 girls, we can use that number as the denominator of the new fraction, to give us x/24. from here, we need to figure out what number multiplied by 3 (from the original fraction) will give us 24 - we must divide.

24/3 is 8, and so we can back up to the original fraction, 2/3, and multiply the numerator by 8 to give us the numerator for our new fraction.

2•8 is 16, and so our fraction becomes 16/24. add the two numbers together to find the total number of students in the class!

Answer:

-------------------------

Apply the Triangle Inequality Theorem.

It states that:

We'll take the sum of two shortest sides and compare with the longest:

It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.

The matching answer choice is e).

Our goal when we solve algebraic equations is always to isolate the variable. We can do this by performing inverse operations on the equation, cancelling out values.

\(96 = 10(x + 2) +6\)

⇒ Subtract 6 from both sides:

\(90 = 10(x + 2)\)

⇒ Divide both sides by 10:

\(9 = x + 2\)

⇒ Subtract 2 from both sides:

\(x=7\)

\(x=7\)

Answer:

x = 7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

The set of positive integers less than 1000 that are:

a)Divisible by 7 are 142

b)Divisible by 7 but not by 11 are 130

c)Divisible by both 7 and 11 are 12

d)Divisible by either 7 or 11 are 220

e)Divisible by exactly one of 7 and 11 are 220

f)Divisible by neither 7 nor 11 are 780

g)Having distinct digits are 576

h)Having distinct digits and even are 337

We have,

A whole number that is greater than zero is known as positive integer

a)The positive numbers below 1000 that are divisible by 7 are 7, 14, 21, 28,..., 994.

Total terms: 994, divided by 7, plus (n-1)

There are 142 total terms below 1000 that are divisible by 7.

b) The numbers 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, and 924 are all divisible by both 7 and 11.

The total number of integers below 1000 that are divisible by 7 but not 11 therefore equals 142 - (total number of integers divisible by 7 and 11), which means that the total number of integers that fall into this category is 130.

c) The total amount of integers that can be divided by both 7 and 11 equals the total amount of integers that can be divided by 77.

There are 12 total integers below 1000 that can be divided by 77.

d) The total number of integers that can be divided by either 7 or 11 is equal to the sum of the numbers that can be divided by each of those numbers and the number that can be divided by 77.

The total number of integers below 1000 that are divisible by 11 is (11,22,33,...,990). 990 = 11 + (n-1) 11, which equals 90 integers.

Total integers that may be divided by both 7 and 11 are equal to 142 + 90 - 12 = 220.

e) The total number of integers that may be divided by either 7 or 11 perfectly is equal to 142 + 90 - 12 = 220 numbers.

f) The total number of integers that cannot be divided by either 7 or 11 is 1000 - (The total number of integers that can be divided by either 7 or 11), which is 1000 - 220 = 780 numbers.

g)Distinct digits from 1 to 100 = 100 - Total number of integers below 1000 with distinct digits = 1000 - (non-distinct digits) ( 11,22,33,44,55,66,77,88,99,100),

=> Unique digits from 1 to 100 equal 90.

=> The distinct numerals 101 to 200 equal 100. (101,110,111,112,113,114,115,116,117,118,119,121,122,131,133,141,144,151,155,161,166,171,177,181,188,191,199,200),

=> Unique digits from 101 to 200 are: 100 to 28, 72.

=> Unique numbers between 201 and 1000 = 72 x 8 = 576.

h)Different digits and even values equal to 337

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Answer:

Step-by-step explanation:

The value of P(x>6) is 1/5.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that A distribution is given as X ~ U(0, 12).

We need to find the value of  P(x > 6)

The probability density function of the uniform distribution is defined as:

f(x)=1/b-a, a<x<b

a=0 and b=12

f(x)=1/12 , 0<x<12

The required probability is P(x>6)

Now P(x>6)= \(\int\limits^2_6 {f(x)} \, dx\)

P(x>6)=(12/12-6/12)

=1-1/2

=1/2=0.5

Hence, the value of P(x>6) is 1/5.

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Answer:

hotdog $1, and hamburger $2

Step-by-step explanation:

D-is hot dogs, H-hamburgers

7D +4H = 15

4D +7H = 18

we got 2 equations with 2 unknown so we can solve

7D +4H = 15 multiply by 7

4D +7H = 18 multiply by -4

49D +28H = 105

-16D -28H = -72     add the two equations

33D= 33 so D=$1

go back to the first equation:

7*1 +4H =15 gives us 4H = 15-7; 4H = 8 so H= $2