What is the volume of s cube with 1/2 inch sides

The area of the region enclosed by the curves y=6x² and y=x²+6 is 8.76 unit square and has been drawn.

The definite integral of a function over a limit represents the area under the curve bounded by the limit as given in integration.

As per the given curves,

y=6x² and y=x²+6

The above curves have been drawn.

The intersection points can be calculated by equating both equations as (-1.095,7.2) and (1.095,7.2).

The area enclosed will be as follows,

Area =  \(\int\limits^{1.095}_{-1.095} {[(x^{2}+6)-6x^{2}]} \, dx\)

A = - 5/3[1.095³ + 1.095³] + 6[1.095 + 1.095]

A =  8.76 unit square.

Hence "8.76 unit squares make up the region that is encompassed by the curves y=6x² and y=x²+6".

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Answer:

The mean launch temperature for flights with O-ring damage is significantly lesser than Flights with No O-ring

Step-by-step explanation:

Let

Null hypothesis : H0 : μ1 ≥ μ2

Alternate hypothesis : Ha : μ1 < μ2

next calculate the test statistic

t = -2.312

calculate the P-value

p-value = T.DIST ( t ,df )  (  excel function )

            = 0.0270

Given that P-value ( 0.020 ) < level of significance ( 0.05 ) we will not fail to reject the null hypothesis

Attached below is the detailed solution

Answer:

5.5%

Step-by-step explanation:

Given data

Simple interest =  $137.50

Principal= $500

time = 5 years

We want to find the rate  R

Simple interest= PRT/100

137.50 = 500*R*5/100

137.50=2500R/100

cross multiply

137.5*100= 2500R

13750= 2500R

divide both sides by 2500

R= 13750/2500

R=5.5%

Hence the rate is 5.5%

Answer:

7

Step-by-step explanation:

Everything including 1/2 and above rounds up to the next whole number.

3/8 < 4/8

7 and 3/8 rounds to 7

Answer:

[1.3,∞)

Step-by-step explanation: The instructions on this weren't really clear, so I converted it to interval notation

Francis went on a business trip to Minneapolis, Minnesota, and stayed at a hotel for one night at a rate of $150, plus tax. The state of Minnesota has a general sales tax rate of 6.875%, and the city of Minneapolis has a general sales tax rate of 0.5%. In addition, Hennepin County, where Minneapolis is located, has a 0.25% sales tax for transit improvement and a 0.15% sales tax to finance a baseball stadium. Not only that, but there is an additional lodging tax in Minneapolis of 3%. Help Francis determine his total bill at the hotel. Round all your answers to the nearest cent.



How much money was Francis charged by the state of Minnesota at its general sales tax rate?



How much money was Francis charged by the city of Minneapolis at its general sales tax rate?



How much money was Francis charged by Hennepin County for transit improvement?



How much money was Francis charged by Hennepin County to help finance a baseball stadium?​

How much money was Francis charged by the state of Minnesota at its general sales tax rate?

we have that

the sales tax rate is 6.875%

6.875%=6.875/100=0.06875

Multiply by $150

150(0.06875)=$10.31

How much money was Francis charged by the city of Minneapolis at its general sales tax rate?

the sales tax rate is 0.5%

0.5=0.5/100=0.005

Multiply by $150

150(0.005)=$0.75

How much money was Francis charged by Hennepin County for transit improvement?

sales tax is 0.25%

0.25/100=0.0025

150(0.0025)=$0.38

How much money was Francis charged by Hennepin County to help finance a baseball stadium?​

the sales tax is 0.15%

0.15/100=0.0015

150(0.0015)=$0.23

additional lodging tax in Minneapolis of 3%

3/100=0.03

150(0.03)=$4.5

part 6

the total bill is equal to

150+10.31+0.75+0.38+0.23+4.5=$166.17

Answer:

GA =34

Y = 61

Step-by-step explanation:

GA= GENERAL ADMISSION =$10

Y= YOUTH =$8

GA+Y= 95

GA=95-Y

10GA+8Y=828

10(95-Y)+8Y=828

950-10Y+8Y=828

-2Y= 122 MULTIPLY BY (-1)

2Y= 122

Y= 61

GA= 34

There were 61 youth tickets sold and 34 general admission tickets

Step-by-step explanation:

Angle measures:

Supplementary angles for a linear pair and sum to 180°.

Examples are:

Solution:

Given:

Using the given measure of an angle, we can identify all the angles.

We can tell that:

Supplementary angles are pairs of angles that sums up to 180°.

Example of supplementary angle:

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

6:21

Step-by-step explanation:

We want to find the ratio of squares to shapes

So simply count the squares

There are 6 squares

And then find the total number of shapes

There are a total of 21 shapes

So for every 6 squares there are 21 total shapes

In other words the ratio of squares to shapes is 6:21

Answer:

Step-by-step explanation:

Given,

Number of squares = 6

Total no. of shapes = 21

Therefore,

Unsimplified ratio of squares to total shapes

= 6:21 (Ans)

Answer:

ans: it's order wise

a) yes

b) no

c) no

d) no

Step-by-step explanation:

use pythagoras theorem

h² = p² + b²

data given satisfying the theorem form right angled triangle

Answer:

mom this u?

Step-by-step explanation:

The number of men which it will take which will be needed for the same job to be completed in 2 days is; Choice A; 9 men.

It follows from the task content that 6 men did the work in 3 days and hence, to determine the number of men capable of completing the work 2 days, we must evaluate as follows;

Total work = 6men × 3 days = 18 men days.

Hence, for 2 days; = 18/2 = 9 men.

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Answer:

A) 146.6

B) yes it contradicts, the CI is less than 2000

Step-by-step explanation:

A) z-interval, Standard deviation 10, mean 2000, n 20, CI .95= 146.6

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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The vertex of the graphed function f(x) = [x - 4] + 3 is (4, 3).

The function f(x) = [x - 4] + 3 is in the form of an absolute value function, where the expression inside the absolute value brackets represents the input value shifted horizontally by 4 units to the right.

The constant term of 3 represents a vertical shift upwards by 3 units.

To find the vertex of this function, we need to determine the x-coordinate that corresponds to the minimum value of the absolute value function.

In this case, since the absolute value function is within brackets and not being multiplied or divided by a coefficient, the minimum value occurs at the point where the expression inside the brackets equals zero.

Therefore, setting x - 4 = 0, we find x = 4.

Substituting this x-value into the function, we find f(4) = [4 - 4] + 3 = 3. So the vertex of the graphed function is located at the point (4, 3), where x = 4 and y = 3. This means that the graph is shifted 4 units to the right and 3 units upward from the origin.

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Step-by-step explanation:

Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.

Answer:

2/3 (x-12)

Step-by-step explanation:

2/3x-8

2/3(x-3x4)

2/3(x-12)

The sum of expected marks is given as follows:

9375.

Each question has four choices, hence the probability of choosing the correct choice is given as follows:

p = 1/4 = 0.25.

Then the expected number of correct answers is given as follows:

E(X) = 0.25 x 150

E(X) = 37.5.

Then the expected grade for a single student is given as follows:

37.5 - 0.25(150 - 37.5) = 9.375.

The expected sum for the 1000 students is then given as follows:

1000 x 9.375 = 9375.

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The base of the parallelogram is 3

The height of the parallelogram is 8

Let the base be represented as (x+2)

Let the height be represented as (x-2)

The area of the parallelogram is 24

The first step is to get two numbers that can be multiplied together to get 24

= 3 × 8

The two numbers are 3 and 8

Hence the base is 3 and the height is 8

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Answer:

d) not proportional

Step-by-step explanation:

the rate of change between the first two pairs of x-and-y values is 12/3, between the second pair it is 21/3, and 15/3 between the last pair

4, 7, and 5 are all different values so there is not one constant of proportionality

Answer:

Step-by-step explanation:

Subtracting a positive from a negative would still be negative!

Hope I helped! :)

Answer:

D) 3Log15^2

Step-by-step explanation:

is this right?

Answer:

The Answer is D on Edge :)

Step-by-step explanation:

Answer:

I think is A =214cm maybe I think so

Answer:

itś 192 cm2

Step-by-step explanation:

Answer:

0.125

Step-by-step explanation:

Smaller Wheel

Total Number of Equal Sectors = 8

The number of Red sectors =3

The probability of obtaining red on the smaller wheel \(=\dfrac38\)

Larger Wheel

Total Number of Equal Sectors = 12

The number of Red sectors =4

The probability of obtaining red on the larger wheel \(=\dfrac{4}{12}\)

Assuming that the wheels are independent and each outcome is equally​ likely, the probability that we get red on both wheels

\(=\dfrac38 \times \dfrac{4}{12}\\\\=\dfrac18\\\\=0.125\)

The probability is: 0.125

The equation that models the relationship between the number of guests, x, and the total charge, y is A. y = 450 + 125x. The base charge for a single guest is $450, and for each additional guest, the charge increases by $125. So, we add 125 times the number of additional guests to the base charge of $450.

An exponential function is a function one in which the a base value is

raised to the power of a variable.

The correct responses are;

Reasons:

1. A negative exponent is the reciprocal of the given exponent with the sign of the power changed from negative to positive.

A fractional exponent is an exponent of the root of the base to the denominator, which is then raised to the power of the numerator of the numerator of the fraction.

2. The interest paid in the first account with simple interest is given as follows;

\(\displaystyle I = \frac{P \times r \times t}{100}\)

Where;

r = The interest rate = 5%

Which gives;

Interest from the first account I₁ = 0.05·P·t

The amount in the account, A₁ = P + 0.05·P·t = P·(1 + 0.05·t)

The compound interest in the second account is; \(A = \mathbf{P \times \left(1 + r\right)^t}\)

The compound interest rate on the second account is; r = 4% = 0.04

Which gives;

\(A_2 = \mathbf{P \times \left(1 + 0.04\right)^t}\)

In the first few years, we have;

The simple interest account gives a higher account balance than the compound interest account

On year t = 11, we have;

A₁ = P·(1 + 0.05 × 11) = 1.55·P

\(A_2 = P \times \left(1 + 0.04\right)^{11} \approx \mathbf{1.54 \cdot P}\)

On year t = 12, we have;

A₁ = P × (1 + 0.05×12) = 1.6·P

\(A_2 = P \times \left(1 + 0.04\right)^{12} \approx \mathbf{1.601 \cdot P}\)

Therefore, just before, year 12, the second account, (compound interest

account) yields more interest.

The account to use is therefore;

3. An exponential growth function is; A = (1 + r)ⁿ

A real world situation that the function could represent is the amount A, in a compound interest account

r = The interest rate

n = The duration the interest is applied

An exponential decay function is; \(A = \mathbf{(1 - r)^t}\)

A real world situation that the function could represent is the price value of a device with time

Where;

r = The rate at which the price changes;

t = The time

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