Help me with 6-17, if you can at least help with one, that’s good enough!

The given expression is

First, we combine the like terms

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer: 7

Step-by-step explanation:

Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.

Answer:

The length of other side of rectangle is 5 units.

Step-by-step explanation:

We are given:

Area of rectangle = 30 square units

Length of one side = 6 units

We need to find the length of other side.

The formula used is: \(Area \ of \ rectangle=Length \times Width\)

Considering length = 6, we need to find width.

Putting values in formula and finding length of other side

\(Area \ of \ rectangle=Length \times Width\\30=6 \times Width\\Width=\frac{30}{6}\\Width=5 \ units\)

So, Width= 5 units

The length of other side of rectangle is 5 units.

Using the lowest common factor of the shuttles' run times, they will depart again for the campus simultaneously at 10.25 A.M.

We can use the lowest common factor (LCM) of their run time to determine when they depart again for the campus.

The lowest common factor of 30 and 20 is 60 because both 30 and 20 can divide 60 evenly without a remainder, showing that it takes 60 minutes for the two shuttles to depart for the campus at the same time.

We can conclude that every 60 minutes or hour, the two shuttles simultaneously depart for the campus.  Every hour, the shuttle departing from Ball Hall completes 2 runs, while the shuttle departing from Lot A completes 3 runs.

Thus, using the lowest common factor, the next time both shuttles will depart for the campus at the same time is 10:25 A.M.

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The radius of the cylinder is equal to 10 feet.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given parameters into the formula for the volume of a cylinder, we have the following;

V = πr²h

1,570 = 3.14 × r² × 5

1,570 = 15.7r²

r² = 1,570/15.7

r² = 100

Radius, r = √100

Radius, r = 10 feet.

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Answer:

by the definition of congruence.

Step-by-step explanation:

for plato

Answer:

110

Step-by-step explanation:

5-5 cancel out

By the way, can you follow me on Brainly?

Thanks!

Answer:

uhm I'm not sure I'm really sorry if it's wrong but its 110 if it's not the right one go to calculator

Answer:

hello! :)

5% of 1000 is 50.

Explanation:

You evaluate the expression.

5% x 1000

Answer: 950 is it

Step-by-step explanation:

The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

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The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

By the Central Limit Theorem, if a sampling distribution with a simple random sample has a number of samples greater than or equal to 30 or the population is normally distributed then this sampling distribution of the sample mean is approximately normal.

If the population mean is μ and standard deviation σ and number of samples n, then the mean and standard deviation of sampling distribution x are given below:

Here =3.5 and =1.1

1) a)This is a sampling distribution with n=19.

The mean of the sampling distribution is the same as the population mean.

So the answer is 3.5

b) Here standard deviation is

0.25

So the answer is 0.25

2) For larger sample size mean will be always the same as the population mean. So it will not change.

When the sample size increase, the value of n get increased. So the standard deviation gets decreases(n is the value at the denominator).

3)The equation to find z score for x

\(\frac{x - mean}{standard deviation}\)

a) Here we need to use individual distribution. So z score of 5.3 is

5.3 – 3.5/0.2523

So answer 1.64

b) Here we need to find a z score for 5.3 for 19 sample.

So

5.3 – 3.5/0.2523573 = 7.13

SO the answer is 7.13

c) Larger z score means lower probability. So here more probability is to collect one tomato which has a lower z score.

SO the answer is "one tomato with diameter 5.3 cm"

d) z score for sample average 3.8 is

3.8 – 3.5/ 0.2523573 = 1.19

So the answer is 1.19

e) Now z score is lower for the sample average 3.8 than single tomato.

So the answer is "group of 19 tomatoes with an average diameter of 3.8 cm"

4) By empirical rule approximately middle 68% of data are within one standard deviation of the mean. That is between mean-SD to mean +SD

a) Here 68% is between 3.5-1.1 = 2.4 and 3.5+1.1= 4.6

So the answer is between 2.4 and 4.6

b) Here, we consider sample. So we need to use standard deviation =0.25

So 68% is between 3.5-0.25 = 3.25 and 3.5+0.25=3.75

So the answer is between 3.25 and 3.75

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A quadrilateral is a four-sided polygon, and it can come in various shapes and forms such as square, rectangle, rhombus, parallelogram, etc.

To find the value of x (the measure of an interior angle in a quadrilateral) using the formula (n-2) * 180 / n, you need to know that a quadrilateral has 4 sides (n = 4).

Given that the interior angle is 69, we can substitute n = 4 into the formula:

x = (4-2) * 180 / 4

This simplifies to:

x = (2) * 180 / 4

x = 90

Therefore, the measure of an interior angle in a quadrilateral is 90 degrees. Since you have given one of the angle as 69 degree, we can say that the quadrilateral is not a convex quadrilateral.

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Answer:

\(z=\frac{46300-50000}{\frac{9800}{\sqrt{28}}}=-1.998\)  

Now we can calculate the p value using the alternative hypothesis with this probability:

\(p_v =P(z<-1.998)=0.0229\)  

The p value for this case is significantly lower than the value of \(\alpha=0.05\) so then we can reject the null hypothesis at this signficance level and we have enough evidence to conclude that the true mean for the deluxe tire is less than 50000 and the claim is not correct.

Step-by-step explanation:

Information given

\(\bar X=46300\) represent the sample mean for the lifespans

\(\sigma=9800\) represent the population standard deviation

\(n=28\) sample size  

\(\mu_o =50000\) represent the value to verify

\(\alpha=0.05\) represent the significance level

z would represent the statistic    

\(p_v\) represent the p value

System of hypothesis

The idea for this case is verify if the deluxe tire averages at least 50,000, so then the system of hypothesis are:

Null hypothesis:\(\mu \geq 50000\)  

Alternative hypothesis:\(\mu < 50000\)  

We know the population deviation so then the correct test stattistic would be:

\(z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}\) (1)  

Replacing the info given we got:

\(z=\frac{46300-50000}{\frac{9800}{\sqrt{28}}}=-1.998\)  

Now we can calculate the p value using the alternative hypothesis with this probability:

\(p_v =P(z<-1.998)=0.0229\)  

The p value for this case is significantly lower than the value of \(\alpha=0.05\) so then we can reject the null hypothesis at this signficance level and we have enough evidence to conclude that the true mean for the deluxe tire is less than 50000 and the claim is not correct.

The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.

example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.

Let's represent the total no of oranges by x.

Therefore ,

2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.

an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x

x = 12+4 or x-12 = 4

= 16

therefore amir got 16 oranges in all

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The BBB store is more affordable than the AAA store.

Considering the skateboard's initial purchase price = 200$

The store's AAA discount is 30% off during sales.

So the price of the skateboard on sale is

= 200 - 30% (original price)

= 200 - (30/100 *200)

= 200 - (60)

=. 140

Now the store AAA has a reward coupon to take an additional discount of 20% offer while purchasing then

= 140 - (20% of 140)

= 140 - (20/100 *140)

= 140 - (28)

= 112

The skateboard's purchase price in the store AAA is 112$

Given the skateboard at the store, BBB is on sale for 50% as

= 200 - (50% of original price)

= 200 - (50/100 * 200)

= 200 - 100

= 100

The skateboard's purchase price in the store BBB is 100$

Hence, By comparing the two stores we conclude that store BBB is better than store AAA.

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Answer:

(4,3,0,-4)

May this

help you

The equation for w(width of rectangle) is: W = (P - 2L)/2

The correct answer is an option (c)

We know that the formula for the perimeter of the rectangle is:

P = 2L + 2W

where P is the perimeter of the rectangle,

L is the length of the rectangle,

and W is the width of the rectangle.

We need to rearrange this equation for w.

Consider equation,

P = 2L + 2W

P - 2L = 2L + 2W - 2L      ......(subtract 2L from each side of equation)

P - 2L = 2W

(P - 2L)/2 = 2W/2             .....(divide each side by 2)

W = (P - 2L)/2

Therefore, the correct answer is  W equals the quantity P minus 2 times L all over 2

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The complete question is:

Makayla is taking a math course and is working with the perimeter of rectangles. She knows the perimeter and length of her rectangle but wants to solve for the width. Rearrange the following equation for W, where P is the perimeter, L is the length, and W is the width of the rectangle. P = 2L + 2W.

a) W = 2P − 2L

b) W = P/ 2-2 times L

c) W equals the quantity P minus 2 times L all over 2

d) W = 2P + 2L

Answer:

c) W equals the quantity P minus 2 times L all over 2

Step-by-step explanation:i just took the test

(1) D

\(L_s\left\{t\right\} = \displaystyle\int_0^\infty te^{-st}\,\mathrm dt\)

Integrate by parts, taking

\(u = t \implies \mathrm du=\mathrm dt\)

\(\mathrm dv = e^{-st}\,\mathrm dt \implies v=-\dfrac1se^{-st}\)

Then

\(L_s\left\{t\right\} = \displaystyle \left[-\frac1ste^{-st}\right]\bigg|_{t=0}^{t\to\infty}+\frac1s\int_0^\infty e^{-st}\,\mathrm dt\)

\(L_s\left\{t\right\} = \displaystyle \frac1s\int_0^\infty e^{-st}\,\mathrm dt\)

\(L_s\left\{t\right\} = \displaystyle -\frac1{s^2}e^{-st}\bigg|_{t=0}^{t\to\infty}\)

\(L_s\left\{t\right\} = \displaystyle \boxed{\frac1{s^2}}\)

(2) A

\(L_s\left\{1\right\} = \displaystyle\int_0^\infty e^{-st}\,\mathrm dt\)

\(L_s\left\{1\right\} = \displaystyle\left[-\frac1se^{-st}\right]\bigg|_{t=0}^{t\to\infty}\)

\(L_s\left\{1\right\} = \displaystyle\boxed{\frac1s}\)

Answer:

h=2A/b

Step-by-step explanation:

I did the test

The correct option is A, we have a translation of 7 units to the right.-

To find it, we need to analyze two correspondent vertices.

We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)

Taking the difference between that, we will get:

A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)

The first value gives the horizontal translation and the second the vertical one

So,we have a translation of 7 units to the right, the correct option is A.

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Answer:

2.8 < x < 5.4

Step-by-step explanation:

Given the triangle with two known sides, 4.1 and 1.3, the range of possible values of the third side, x, can be ascertained by considering the triangle inequality theorem.

According to the theorem, when you add any two of the angles in a triangle, it should give you a value greater than the third side.

If a, b, and c are 3 sides of a triangle, the theorem implies that:

a + b > c.

Therefore, a - b < c < a + b

We can use this logic to find the possibly values of x in the given triangle above.

Thus,

4.1 - 1.3 < x < 4.1 + 1.3

2.8 < x < 5.4

Range of possible sizes of x is 2.8 < x < 5.4

Therefore , the solution of the problem of expression comes out to be

9.12 x 10 ^-2.

An algebraic expression must be checked via replacing each variable with a number and performing arithmetic operations. In the example above, the answer variable is comparable to 6, since 6 + 6 equal 12. If we know the values of the variables, we can replace them with those values and evaluate the expression.

Here,

Given : 0.0912 in scientific notation

=> 9.12 /100

By using scientific notation

=> 9.12 × 10^-2

=> 9.12 x 10 ^-2

So, we get 9.12 x 10 ^-2 as the scientific notation for the given expression

Therefore , the solution of the problem of expression comes out to be

9.12 x 10 ^-2.

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Where the daily growth factor is 1.15 and the starting height in inches is 7.

a. Given by, the function that calculates the height of the beanstalk in relation to the time since Gregory planted it.

\(f(t) = 7(1.15)^t\)

where the daily growth factor is 1.15 and the starting height in inches is 7.

B). The following ratios can be calculated using the formula from section (a):

f(1)/f(0) = (71.15¹)/(71.15⁰) = 1.15

f(2)/f(1) = (71.15²)/(71.15¹ = 1.15

f(1)/f(1) = (71.15¹)/(71.15¹) = 1

\(f(9.56)/f(8.56) = (71.15^{9.56})/(71.15^{8.56})\) ≈ 1.15

\(f(8.56)/f(8.55) = (71.15^{8.56})/(71.15^{8.55})\) ≈ 1.15

c. For the any value of z, we have:

\(f(z+1)/f(z) = (71.15^{(z+1)})/(71.15^z)\) = 1.15

and

\(f(z)/f(z-1) = (71.15^z)/(71.15^{(z-1)})\) = 1.15

For question 6:

a. As a increases throughout the function's domain, f(z) [Select an answer]

Since the base of the exponential function is less than 1 (0.69 < 1), as x increases, f(x) will approach 0.

b. The 1-unit growth factor of f is

The 1-unit growth factor for f is 0.69, since f(x+1)/f(x) = 0.69.

c. The -unit growth factor of f is

The 1/2-unit growth factor for f is (0.69)¹/₂, since f(x+1/2)/f(x) = (0.69)¹/₂.

d. The 6-unit growth factor of f is

The 6-unit growth factor for f is (0.69)⁶, since f(x+6)/f(x) = (0.69)⁶.

e. The 6-unit percent change of  f is

The 6-unit percent change for f is ((0.69)^6 - 1) * 100%, which is approximately -38.77%.

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Answer:

a) Area of STAR = 48 square units

b) Area of SKCO = 42 square units

Step-by-step explanation:

The formula for the area of a trapezoid is half the sum of the bases multiplied by the height:

\(\boxed{\sf Area=\dfrac{a+b}{2} \cdot h}\)

The bases of a trapezoid are the parallel sides.

The height of a trapezoid is the perpendicular distance between the two bases.

The bases are parallel sides SR and TA.

The height is the perpendicular distance between SR and TA.

Therefore:

Substitute these values into the formula and solve for area:

\(\begin{aligned}\sf \implies Area\;STAR&=\dfrac{4+8}{2} \cdot 8\\\\&=\dfrac{12}{2} \cdot 8\\\\&=6\cdot 8\\\\&=48\;\sf square\;units\end{aligned}\)

The bases are parallel sides SK and OC.

The height is the perpendicular distance between SK and OC.

Therefore:

Substitute these values into the formula and solve for area:

\(\begin{aligned}\sf \implies Area\;SKCO&=\dfrac{4+10}{2} \cdot 6\\\\&=\dfrac{14}{2} \cdot 6\\\\&=7 \cdot 6\\\\&=42\;\sf square\;units\end{aligned}\)

Answer:

x=\(\frac{13}{30}+i\frac{\sqrt{251}}{30}\)

Step-by-step explanation:

Answer:

I do not fully understand this question so I will try to answer it the best I can.

25x^2-10x^2-13x=-7

15x^2-13x=-7

That is the question simplified. The part that you need to do from here is to figure out what x is. A way you can do that is by plugging in different solutions of what x could be until you find a solution that fits into the equation. I can't help that much but I hope that my solution helps.

Answer:

answer is b bro :)))))))))))))))