Mathematics High School

Will be marked the brainliest if correct

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Answer 1

Answer:

6 is the answer

Hope that helps.
Let me know if im wrong :)

Step-by-step explanation:

Related Questions

3b - c +5 if c= - 4, b=2.

Answers

Answer:

Step-by-step explanation:

To find the answer, plug the values of each variable into the equation and simplify. It may be easiest to plug one variable in at a time, simplify, then plug the next variable in. Remember, if the equation is asking you to subtract a negative number, the negatives cancel and you want to add the numbers.

b = 2 c = -4

3b - c + 5 <----- Original expression

3(2) - c + 5 <----- Plug 2 in for "b"

6 - c + 5 <----- Multiply 3 and 2

11 - c <----- Add 6 and 5

11 - (-4) <----- Plug -4 in for "c"

15 <----- Add 11 and 4

a 4 1/2 inch candle burns down in 9 hours. after how many hours will it have burned 4 1/4 inches? use the drop down menu to state your answer as a decimal, mixed number, or improper fraction.

Answers

The number of hours it will take to burn 4 1/4 inches of candle is 8.5 hours in decimal.

How to solve fractions?

Using ratio to solve, find the ratio of candle length to the time taken to burn down

let

x = time taken by 4 1/4 inches candle

4 1/2 : 9 = 4 1/4 : x

9/2 ÷ 9 = 17/4 ÷ x

9/2 × 1/9 = 17/4 × 1/x

1/2 = 17/4x

cross product

1 × 4x = 2 × 17

4x = 34

x = 34/4

x = 8.5 hours

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12. Ben says
"the difference between two consecutive square numbers is always odd."
Is Ben correct?

Answers

Answer:

Yes Ben is correct

Step-by-step explanation:

For example:

If n² is the greater of the two consecutive square numbers, then the difference will be 2n-1. So for example, if you have two consecutive squares with the values of 25, and 36, their difference will be 11. Notice though that 11=2×6–1, so it conforms to 2n-1.

The final exam scores in a statistics class were normally distributed with a mean of 70 and a standard deviation of five. What is the probability that a student scored less than 55% on the exam?

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The probability that a student scored less than 55% on the exam is 0.134%.

What is a normal distribution?

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have:

Mean of the sample = 70

Standard deviation = 5

= P(X<55%)

Z = (55-70)/5

Z = -3

P(X < -3)

From the Z table:

P(x<-3) = 0.0013499

P(x<-3) = 0.134%

Thus, the probability that a student scored less than 55% on the exam is 0.134%.

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Hi can anybody answer this please !

Answers

Answer:

7ft; 8 minutes

Step-by-step explanation:

a. to find the height the person boarded at, plug in t=0 since this is right when the person got on the Ferris wheel. we then get:

h(0) = -45 * cos ((pi/4)*0) + 52 = 7 ft

b. to find the period, we have pi/4 * t = 2*pi, solve for t to get t=8

Use DeMoivre's Theorem to find (3cis*pi/6)^3

The ANSWER is 27i ----- PLEASE EXPLAIN!!!! THANK YOU!!!

Answers

The correct value of (3cis(pi/6))³ is 27i.

What is Complex Number?

Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.

Given the complex number in polar coordinate expressed as

z = r(cos∅+isin∅)

zⁿ = {r(cos∅+isin∅)}ⁿ

According to DeMoivre’s Theorem;

zⁿ = rⁿ(cosn∅+isinn∅)

Given the complex number;

(3cis(pi/6))³

= {3(cosπ/6 + isinπ/6)}³

Using DeMoivre’s Theorem;

= 3³(cos3π/6 + isin3π/6)

= 3³(cosπ/2 + isinπ/2)

= 3³(0 + i(1))

= 27i

Thus, the correct value of (3cis(pi/6))³ is 27i.

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1,8,27; 64; Rule Missing numbers

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Answer:

rule: f(n) = n³

missing numbers: 125, 216, 343, 512, 729

Step-by-step explanation:

Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.

1 = 1·1·1 = 1³

8 = 2·2·2 = 2³

27 = 3·3·3 = 3³

64 = 4·4·4 = 4³

The rule is ...

f(n) = n³

The cubes of 5 through 9 will complete the set of numbers ...

1, 8, 27, 64, 125, 216, 343, 512, 729

If c = 64-d, what is the value of C when D = -1/6

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The equation c = 64 - d is a linear equation, and the value of c in the equation is 64 1/6

How to solve the equation?

The equation is given as:

c = 64 - d

The value of d is given as:

d = -1/6

Substitute -1/6 for d in c = 64 - d

c = 64 - -1/6

Evaluate the difference

c = 64 1/6

Hence, the value of c in the equation is 64 1/6

Answers

The attached image represents the triangle after it has been enlarged

How to enlarge the triangle?

The given parameters are:

Scale factor, k = -1/3Center, (a,b) = (-1,2)

From the graph, the coordinates of the triangle are:

A = (-4,2)

B = (-4,-4)

C = (-1,-4)

The rule of dilation is calculated using:

[tex](x,y) \to (k(x - a) + a, k(y - b) + b)[/tex]

So, we have:

[tex]A' = (-\frac 13(-4 +1) - 1, -\frac 13(2 - 2) + 2)[/tex]

A' = (0, 2)

[tex]B' = (-\frac 13(-4 +1) - 1, -\frac 13(-4 - 2) + 2)[/tex]

B' = (0, 4)

[tex]C' = (-\frac 13(-1 +1) - 1, -\frac 13(-4 - 2) + 2)[/tex]

C' = (-1, 4)

See attachment for the image of the triangle, after it has been enlarged

Answers

Answer:

17.5%

Step-by-step explanation:

1879/10730=17.5%

Answer:

18%

Step-by-step explanation:

Locate the "receives aid" column and "graduate" row. The value 1879 is in this row and column combo.

There are 10730 students total as shown in the bottom right hand corner.

Roughly 1879/10730 = 0.1751 = 17.51% of the students are graduates who receive aid. This rounds to 18%

How do I solve and find x?

Answers

Answer:

x=60

Step-by-step explanation:

First get x all alone on 1 side of the equation. Add 14.5 to both sides of the equation to cancel out the negative. You will then be left with

x/5= 12

Multiply both sides of the equation by 5 to cancel out the division and you'll get x=60

SAmina walked nine times round a square Field. If she covered a total distance of 12 96 meters, what is the area of the field?

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Answer: The area is 1296

Explanation: You want to take 1,296 as the perimeter and divide it by 9 as she walked around it 9 times. From there plug the answer (144) into the equation to find a area and you get 1296

Which expression is equivalent to 18x^2√14x^8 / 6√7x^4, if x ≠ 0?

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The equivalent expression of [tex]18x^2\sqrt{14x^8} \div 6\sqrt{7x^4}[/tex] is [tex]3x^4\sqrt{2}[/tex]

How to determine the equivalent expression?

The expression is given as:

[tex]18x^2\sqrt{14x^8} \div 6\sqrt{7x^4}[/tex]

Start by dividing 18 by 6

[tex]3x^2\sqrt{14x^8} \div \sqrt{7x^4}[/tex]

Next, divide 14 by 7

[tex]3x^2\sqrt{2x^8} \div \sqrt{x^4}[/tex]

Take the square root of x^8 and x^4

[tex]3x^2 * x^4\sqrt{2} \div x^2[/tex]

Divide x^2 by x^2

[tex]3* x^4\sqrt{2}[/tex]

Evaluate

[tex]3x^4\sqrt{2}[/tex]

Hence, the equivalent expression of [tex]18x^2\sqrt{14x^8} \div 6\sqrt{7x^4}[/tex] is [tex]3x^4\sqrt{2}[/tex]

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Answer: B or 3x^4 sqrt 2

explanation: only simplified answer above

what is the value of x

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The value of x in the triangle is 20

How to determine the value of x?

From the triangle, we have the following equivalent ratios:

5x+ 10 : 121 = 10 : 11

Express as fraction

5x + 10/121 = 10/11

Multiply both sides by 121

5x + 10 = 110

Subtract 10 from both sides

5x = 100

Divide both sides by 5

x = 20

Hence, the value of x in the triangle is 20

Answers

The real giraffe would be 8 times larger than the toy giraffe, since it’s a ratio of 1:8.
The toy is 2 feet, so we multiply that by 8, and 2x8 = 16.
The real giraffe is 16 feet long.

Given the pattern rule Tn=n2-1

what are the first 3 terms of the pattern

Answers

Answer:

0, 3 , 8

Step-by-step explanation:

substitute n = 1, 2, 3 into the pattern rule

T₁ = 1² - 1 = 1 - 1 = 0

T₂ = 2² - 1 = 4 - 1 = 3

T₃ = 3² - 1 = 9 - 1 = 8

If f(x )= 3/x-3, what is (fof)(x)?

Answers

Answer:

the second option is correct.

Step-by-step explanation:

that is the solution above.

For what value of x is the rational expression below undefined?

1-x
——
x+1

Answers

Answer:

x = - 1

Step by step explanation:

The rational expression will be undefined if the denominator is zero.

x+1 = 0

x = -1

Hence, for x = -1, the given expression will be undefined.

Wich inequality represents the phrase “a number b is atleast 16”?

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Answer: B

Explanation: Key word: Atleast. This shows that you can still get 16 but it's the lowest you can get. Meaning, if you were to say, atleast get a 16% done. It'll mean that getting 16% is good but also, you'll want to get a higher number of course.

The graph shows the functions f(x), p(x), and g(x): 6.98 Ax) 1 p(x) 8(xx) US -9.06 10.94 -6.35 Courtesy of Texas Instruments Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (3 points) Part B: Write any two solutions for f(x). (3 points) Part C: What is the solution to the equation p(x) = g(x)? Justify your answer.

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Answer:

See the attached graph.

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words.
What is the length of the diagonal shown in the rectangular prism? Round your answer to the nearest tenth.

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The length of the diagonal shown in the rectangular prism is; 9.5 ft

How to Use Pythagoras Theorem?

First of all, we have to find the length of the diagonal base to get;

x = √(4² + 7²)

x = √65

Thus;

Length of the diagonal shown = √(5² + (√65)²)

Length of the diagonal shown = √90

Length of diagonal shown = 9.4868

Length of diagonal shown ≈ 9.5 ft

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Answer:

got 100% on Plato

Step-by-step explanation:

What value of b will cause the system to have an infinite number of solutions? A system of equations. y equals 6 x plus b. negative 3 x plus StartFraction one-half EndFraction y equals negative 3. A coordinate grid with a line labeled negative 3 x plus StartFraction one-half EndFraction y equals negative 3 and passes through the points (1, 0) and (0, negative 6).

Answers

The value of b that causes the system of equations to have infinite solutions is -6.

How to find the solution to the given system of equations?

For that, we will try solving it first using the method of substitution in which we express one variable in another variable's form and then you can substitute this value in another equation to get a linear equation in one variable.

If there comes a = a situation for any a, then there are infinite solutions.

If there comes wrong equality, say for example, 3=2, then there are no solutions, else there is one unique solution to the given system of equations.

In the given problem, our equations are:

y = 6x + b

-3x + (1/2)^y = -3

So the value of b needs to be such that these two equations must be equal.

In the second equation:

[tex](1/2)^y = -3 + 3x\\y = -3^2 + 3x^2 \\y = -6 + 6x[/tex]

Then we must have:

6x - 6 = 6x + b

-6 = b

Thus, the value of b that causes the system to have infinite solutions is -6.

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Answer:

-6

Step-by-step explanation:

trust

A regular pentagon and a regular hexagon are both inscribed in the circle below. Which shape has a bigger area? Explain your reasoning. 4

Answers

Answer:

Pentagon

Step-by-step explanation:

Because as you can see, a regular pentagon is bigger than then the hexagon. If it's both in the circle below, the pentagon will most likely have an big advantage in this.

Prove that an integer consisting of 3n ones is divisible by 3n (e.g. 111 is divisible by 3, 111,111,111 is divisible by 9, etc.) Prove it by induction. Notice, that while the number with a sum of digits divisible by 3 is itself a multiple of 3 and the number with a sum of digits divisible by 9 is itself a multiple of 9, it is NOT true that the number with a sum of digits divisible by 27 is necessarily a multiple of 27.

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For proof of 3 divisibility, abc is a divisible by 3 if the sum of abc (a + b + c) is a multiple of 3.

Integers divisible by 3

The proof for divisibility of 3 implies that an integer is divisible by 3 if the sum of the digits is a multiple of 3.

Proof for the divisibility

111 = 1 + 1 + 1 = 3 (the sum is multiple of 3 = 3 x 1) (111/3 = 37)

222 = 2 + 2 + 2 = 6 (the sum is multiple of 3 = 3 x 2) (222/3 = 74)

213 = 2 + 1 + 3 = 6 ( (the sum is multiple of 3 = 3 x 2) (213/3 = 71)

27 = 2 + 7 = 9 (the sum is multiple of 3 = 3 x 3) (27/3 = 9)

Thus, abc is a divisible by 3 if the sum of abc (a + b + c) is a multiple of 3.

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evaluate q-r if q= -14 and r=-6

Answers

Answer:

- 8

Step-by-step explanation:

substitute q = - 14 and r = - 6 into the expression

q - r

= - 14 - (- 6)

= - 14 + 6

= - 8

Answer: -8

Step-by-Step Explanation:

=> q - r, where q = -14 and r = -6

Therefore,
= q - r
= -14 - (-6)
= -14 + 6
= -8

Hey i have a question i need help with this it says...
How many cups would give you 2 quarts of water

if you have an awnser for this please let me know

Answers

Answer:

8 cups = 2 quarts

Step-by-step explanation:

Answer:

Eight cups will give you 2 quarts of water

Help please i need this

Answers

Answer:

i can't see the question i would love to help though

Step-by-step explanation:

Find the surface area of the prism //Please answer//

Answers

Answer:

358in²

Step-by-step explanation:

9 × 11 = Area of Face One = 99in²

99 × 2 = Face One + Face One on the opposite side = 198in²

4 × 11 = Area of Face Two = 44in²

44 × 2 = Face Two + Face Two on the opposite side = 88in²

9 × 4 = Area of Face Three = 36in²

36 × 2 = Area of Face Three + Face Three on the opposite side = 72in²

Total Surface Area = 198 + 88 + 72 = 358in²

Jamaal bounces on a trampoline. His height, as a function of time, is modeled by = -16x^2+20x+4.
Which statement best describes the function?

Answers

Answer:

B. The function is nonlinear.

Step-by-step explanation:

A linear function graphs as a straight line. It is a polynomial function of degree 1. Any function that is not a linear function is a nonlinear function.

degree

The function given is a polynomial function of degree 2. (Its highest-degree term is x^2, which has an exponent of 2.)

categorization

Since the degree is not 1, the function is nonlinear.

_____

Additional comment

A polynomial function will never be "linear at some points and nonlinear at other points." Such a description might apply to a piecewise-defined function.

The two tables show the number of copies of albums x, y, and z sold in outlets a, b, c, and d of a company. which outlet sold the greatest number of copies of album x in july and august?

Answers

Outlet A sold the greatest number of copies of album x in July and August

How to determine the outlet?

The tables of values are given as:

July

Album X Album Y Album Z

Outlet A 14 8 6

Outlet B 7 13 4

Outlet C 2 11 1

August

Album X Album Y Album Z

Outlet A 12 14 10

Outlet B 5 12 8

Outlet C 16 12 7

In July, the total sales of album x are:

Outlet A = 14

Outlet B = 7

Outlet C = 2

In August, the total sales of album x are:

Outlet A = 12

Outlet B = 5

Outlet C = 16

Add both sales

A = 14 + 12 = 26

B = 7 + 5 = 12

C = 2 + 16 = 18

26 (in outlet A) is greater than 12 and 18

Hence, outlet A sold the greatest number of copies of album x in July and August