Which expression is equivalent to: 7^14 divided by 7^2?
A. 7^16
B. 1^7
C. 7^7
D. 7^12

Answer:

C

Step-by-step explanation:

It cannot be A because it is a parabola, and what that means is the x^2. So, we can immediately eliminate that. This is because if you do a sketch of it it was the "U" shape. I am not positive, but I think that it is C because of the pattern going on in the y-coordinate. It goes +2, +4, then presumably +6. So then the (0,y) is (0,12). This would mean that the equation would end with +12. That is why C is the best choice. I hope that answered your question, and is correct!

Answer:

a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

Step-by-step explanation:

Let the price of 1 sq.m. of fence panel be x

Let the price of 1 m of wooden frame be y

In Fig 1

Length = 4 m

Breadth = 3 m

Area =[tex]Length \times breadth = 4 \times 3 = 12 sq.m.[/tex]

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(4+3)=14 m

Cost of 1 m of wooden frame = y

Cost of 14 m of wooden frame = 14y

We are given that total cost of framing and fencing is 38

So. 12x+14y=38 ----1

In Fig 2

Length = 6 m

Breadth = 2 m

Area =[tex]Length \times breadth = 6 \times 2 = 12 sq.m[/tex].

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(6+2)=16 m

Cost of 1 m of wooden frame = y

Cost of 16 m of wooden frame = 16y

We are given that total cost of framing and fencing is 40

So. 12x+16y=40---2

Substitute the value of 12x form 1 in 2

38-14y+16y=40

2y=2

y=1

Substitute the value of y in 2

12x+16=40

12x=24

x=2

So, cost of 1 sq.m. of fence panel is 2 and cost of 1 m of wooden frame is 1

In fig 3

To verify :

Length = 3 m

Breadth = 5 m

Area = [tex]Length \times breadth = 3 \times 5 = 15 sq.m.[/tex]

Cost of 1 sq.m. = 2

Cost of 12 sq.m. =[tex]15 \times 2 = 30[/tex]

Perimeter =2(l+b)=2(3+5)=16 m

Cost of 1 m of wooden frame = 1

Cost of 16 m of wooden frame = 16

So, Total cost = 30+16=46

We are given that cost of fencing and framing is 46

Thus verified

Hence

a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

Answer:

g(3)=9

Step-by-step explanation:

We want to find what g(x), or y is, when x is equal to 3.

Therefore, we can substitute 3 in for x in the equation

g(x)=x^2

g(3)=3^2

Evaluate the exponent

g(3)=3*3

g(3)=9

Answer:

[tex]{f}^{ - 1}(x) = \frac{x + 11}{ - 5} [/tex]

Step-by-step explanation:

[tex]f(x) = - 5x - 11 \\ - 5x - 11 =x \\ - 5x = x + 11 \\ {f}^{ - 1}(x) = \frac{x + 11}{ - 5} [/tex]

Answer:

$3,125

Step-by-step explanation:

Answer:

1440

Step-by-step explanation:

Answer:

The difference between the number of expected outcomes and the number of actual outcomes = 5

Step-by-step explanation:

She tosses a two sided counter and spins a spinner with six equal sized sections numbered 1 to 6.

Probability of the counter landing on either of the two sides is exactly = (1/2)

Probability of the counter landing on the red side = (1/2)

Probability of the spinner landing in a region greater than 3 = Probability of the spinner landing in a region of 4, 5 or 6. = (3/6) = (1/2)

In one toss and spin, the probability of a toss landing on red and the spinner landing on a number greater than 3 = p = (1/2)×(1/2)

p = (1/4)

Expected number of times that a toss will land on a red and a spinner will land on a number greater than 3 in 80 trials

= np = 80 × (1/4) = 20

Number of actual times that the toss lands on a red and a spinner lands on a number greater than 3 in 80 trials = 25

The difference between the number of expected outcomes and the number of actual outcomes = 25 - 20 = 5

Hope this Helps!!!

Answer:

q > 27/61

Step-by-step explanation:

50q + 43 > -11q +70

Add 11 q to each side

50q+11q + 43 > -11q+11q +70

61q +43 > 70

Subtract 43 from each side

61q+43-43 > 70-43

61q > 27

Divide each side by 61

61q/61 >27/61

q > 27/61

Answer:

q > 27/61

Step-by-step explanation:

hope this helps!!

Answer:

Options B and D.

Step-by-step explanation:

The general form of sine function

[tex]h(x)=A\sin (Bx+C)+D[/tex]

where, |A| is amplitude, [tex]\frac{2\pi}{B}[/tex] is period, [tex]\frac{-C}{B}[/tex] is phase shift and D is y-intercept.

The general form of cosine function

[tex]h(x)=A\cos (Bx+C)+D[/tex]

where, |A| is amplitude, [tex]\frac{2\pi}{B}[/tex] is period, [tex]\frac{-C}{B}[/tex] is phase shift and D is y-intercept.

In function, [tex]f(x)=-\sin x-1[/tex]

Amplitude : [tex]|A|=1[/tex]

y-intercept : -1

In function, [tex]f(x)=-2\sin x-1[/tex]

Amplitude : [tex]|A|=2[/tex]

y-intercept : -1

In function, [tex]f(x)=-\cos x[/tex]

Amplitude : [tex]|A|=1[/tex]

y-intercept : 0

In function, [tex]f(x)=-2\cos x-1[/tex]

Amplitude : [tex]|A|=2[/tex]

y-intercept : -1

Therefore, the correct options are B and D.

Answer:

B

Step-by-step explanation:

edge2020 quiz

Answer:

C. [tex]c = \frac{-7+-\sqrt{129} }{8}[/tex]

Step-by-step explanation:

Before we start, you can think of the variable "c," as x.

The quadratic formula/equation is:

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

The setup is:

[tex]ax^2+bx+c=0[/tex]

[tex]4c^2+7c-5=0[/tex]

Plug in the numbers accordingly to the letter associated, like so:

[tex]x = \frac{-7+-\sqrt{7^2-4(4)(-5)} }{2(4)}[/tex]

[tex]x = \frac{-7+-\sqrt{49+80} }{8}[/tex]

[tex]x = \frac{-7+-\sqrt{129} }{8}[/tex]

Answer:

x=5 and x=15

Step-by-step explanation:

3x^2-60x+225=0

3x^2-60x+225/3=0/3

x^2-20x+75=0

x^2-5x-15x+75=0

x(x-5)-15(x-5)=0

(x-5)(x-15)=0

x-5=0 x-15=0

x=5 x=15

Answer:

y > -4

Step-by-step explanation:

−2y<8

Divide each side by -2, remembering to flip the inequality since we are dividing by a negative

-2y/-2 > 8/-2

y > -4

Answer:

Last option

y > -4

Step-by-step explanation:

-2y < 8

Switch sides

-8 < 2y

-4 < y

Or

y > -4

Answer:

the answer for the volume of the cylinder is V≈25.13in³

Answer:

h=2         d=4  

r=4/2  , radius is half of the diameter

r=2

V=π  r^2h

V= π x (2)²×2

substitute variables into formula V=25.132741228718

the nearest tenths place V=25.1 inches

Answer:

Step-by-step explanation:

Let x be the random variable representing the length of an oarfish. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

The given probability value is 16% = 0.16. From the normal distribution table, the z score corresponding to the probability value is - 0.99

This indicates that the sample mean is lower than the population mean

Therefore,

- 0.99 = (x - 6.5)/1.5

- 0.99 × 1.5 = x - 6.5

- 1.5 = x - 6.5

x = - 1.5 + 6.5

x = 5m

The correct answer is

oarfish that are shorter than 5 m

Answer:

oarfish that are shorter than 5

oarfish that are longer than 8 m

I Just took the test!

Answer:

B

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

1 / 3

First, let's find the mean.

\dfrac{26+31+39+32}{4} = \dfrac{128}{4}= \blueD{32} \text{ putts}  

4

26+31+39+32

​  

=  

4

128

​  

=32 puttsstart fraction, 26, plus, 31, plus, 39, plus, 32, divided by, 4, end fraction, equals, start fraction, 128, divided by, 4, end fraction, equals, start color #11accd, 32, end color #11accd, start text, space, p, u, t, t, s, end text

Hint #22 / 3

Next, let's find the distance each data point is from the mean.

Data point Distance from the mean

262626 \blueD{32}-26 = 632−26=6start color #11accd, 32, end color #11accd, minus, 26, equals, 6

313131 \blueD{32}-31 = 132−31=1start color #11accd, 32, end color #11accd, minus, 31, equals, 1

393939 39-\blueD{32} = 739−32=739, minus, start color #11accd, 32, end color #11accd, equals, 7

323232 32-\blueD{32} = 032−32=032, minus, start color #11accd, 32, end color #11accd, equals, 0

Hint #33 / 3

The mean absolute deviation (MAD) is the mean of the distances from the mean.

\dfrac{6+1+7+0}{4} = \dfrac{14}{4}= 3.5\text{ putts}  

4

6+1+7+0

​  

=  

4

14

​  

=3.5 putts  I hope it helps.

Answer:

a)

Theoretical: 10/30 = 1/3

Experimental: 12/30 = 6/15

Step-by-step explanation:

the theoretical probability is if every number was rolled an equal amount of times. as there are 3 options and a number was chosen 30 times, if we divide 30 by 3 we will get the theoretical probability of choosing a 2

30 ÷ 3 = 10

the theoretical probability = 10/30 or simplified 1/3

the experimental probability is the result when one of the numbers from

1 to 3 were actually randomly selected 30 times. the chart shows that the 2 was selected 12 times out of 30 therefore the experimental probability = 12/30 or simplified 6/15

Theoretical:

fraction: 1/3

decimal: 0.33∞

percentage: 33%

Experimental:

fraction: 6/15

decimal: 0.4

percentage: 40%

I hope this was helpful :-)

Answer:

negative 3

Step-by-step explanation:

Mark brainlest

Epert verifyied

Answer:

576

Step-by-step explanation:

First off, we can use the area of a kite formula, (D1*D2)/2 to get the area of one side of the kite, which is simplified to 18 * 32 : which gets us 288. But because we are looking for the area of the front and back side, we multiply 288 by 2- getting the final answer of 576.

Answer:

576

Step-by-step explanation:

Answer:10x^2+11xy-6y^2

Step-by-step explanation:

( 2 x + 3 y ) ( 5 x − 2 y )  = 2 x ( 5 x − 2 y ) + 3 y ( 5 x − 2 y )

= 10 x 2 − 4 x y + 15 x y − 6y 2

= 10 x 2 + 11 x y -6 y 2 .

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

Multiply both sides by 9.

x/9 = 3

(x/9) * (9) = (3) * (9)

x=27

The solution of the expression x/9 = 3 is,

⇒ x = 27

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The expression is,

⇒ x/9 = 3

Now, Simplify the expression as;

⇒ x/9 = 3

Multiply by 9, we get;

⇒ 9 × x/9 = 9 × 3

⇒ x = 27

Thus, The solution is,

⇒ x = 27

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Answer:

40°

Step-by-step explanation:

complementary angels makes the sum of two angles = 90°

so

<ABC + < CBD = 90°

if <ABC = 50°

then 90° - 50° = 40°

Answer:

C. Fair Credit Billing Act

Step-by-step explanation:PLATO

Answer:

a. 0

Step-by-step explanation:

hope this helps!

The solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Given that, 9/(n²+1) = (n+3)/4.

Here, 9×4=(n²+1)×(n+3)

36=n²(n+3)+1(n+3)

36=n³+3n²+n+3

n³+3n²+n+3-36=0

n³+3n²+n-33=0

The equation n³+3n²+n-33=0 can be solved by factoring. The factors of -33 are -1 and 33. Since the coefficient of the n³ term is 1, this means that n-1 and n+33 are factors of the equation.

Dividing both sides of the equation by n-1, we get:

n²+3n+33/(n-1)=0

Factorizing the numerator, we get:

(n+11)(n+3)=0

Solving this equation, we get n=-11 and n=-3.

Therefore, the solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.

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So the right answer is 5/6.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex] \frac{5}{6} [/tex]

Step-by-step explanation:

[tex] \frac{1}{2} + \frac{2}{6} \\ \frac{6 + 4}{6 \times 2} \\ \frac{10}{12} \frac{ \div 2}{ \div 2} \\ = \frac{5}{6} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

B. 90

Step-by-step explanation:

In a triangle if one of the angle is 90 deg the triangle is said to be a RIGHT ANGLED TRIANGLE.

Hope this helps, Pls Mark me as Brainliest!!!

Given triangle is a right-angle triangle. option B is correct.

The properties of the triangle are:

1. The sum of all the angles of a triangle (of all types) is equal to 180°.

2. The sum of the length of the two sides of a triangle is greater than the length of the third side.

3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

A triangle is said to have a right angle if one of its angles is precisely 90 degrees. There are several techniques to spot a right angle triangle, including:

Therefor, the given triangle is a right-angle triangle.

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Answer:

1. 20 + 2x ≤ 60

2. Yes, see explanation

Step-by-step explanation:

Let x equal the amount of exercises Anna can perform.

The inequality will look like this:

20 + 2x ≤ 60

Let's go over each of the values and why there in the equation.

20: The amount of minutes Anna has already spent in the gym

2: The amount of minutes per exercise

x: The amount of exercises Anna can perform

≤: The amount of exercises must be less than or equal to the amount of time Anna is willing to spend in the gym.

60: The amount of minutes in an hour; the amount of time Anna is willing to spend at the gym.

Now, plug in 18 for x for question 2.

20 + 2(18) ≤ 60

Evaluating 2*18, the inequality becomes 20 + 36 ≤ 60.

Evaluating 20 + 36, the inequality becomes 56 ≤ 60.

Since 56 is less than 60, we can determine that Anna has time to do 18 more exercises.

Answer:

c is 120 degrees

Answer:

1. 45 megabytes

2. 50 megabytes

Step-by-step explanation:

Given

S(t) = 5t + 45

Required

Find S(t) when the transfer began

And find the additional transfer size at interval of 10 seconds

When the file transfer initially began, the value of t is 0.

Given that S(t)=5t+45.

Substitute 0 for t

S(0)=5 * 0 + 45

S(0) = 0 + 45

S(0) = 45.

Hence, the hard drive had 45 megabytes on it when the transfer started.

At every interval of 10 seconds. We take t to be 10, 20, 30...seconds

When t = 10

S(t)=5t+45 becomes

S(10) = 5(10) + 45

S(10) = 50 + 45

S(10) = 95 megabytes

When t = 20

S(t)=5t+45 becomes

S(20) = 5(20) + 45

S(20) = 100 + 45

S(20) = 145 megabytes

When t = 30

S(t)=5t+45 becomes

S(30) = 5(30) + 45

S(30) = 150 + 45

S(30) = 195 megabytes

Calculating the difference

Difference = S(30) - S(20) or S(20) - S(10)

Difference = 195 - 145 or 145 - 95

Difference = 50 or 50

See that the difference is the same.

So, at every 10 seconds interval, there's an additional 50 megabytes transferred