What is the surface area of the prism below?

20√3 in² is the required area of the trapezoid in simplest form

The formula for calculating the area of a trapezoid is expressed as:

A = 1/2(a+b)*h

where

a and b are the sides

h is the height of the trapezoid

Given the following

a = 14in

b =26 in

For the height:

tan 60 = h/6

h = 6tan60

h = √3

Substitute

A = 1/2(14 + 26)*√3

A = 20√3 in²

Hence the  area of the trapezoid in its simplest radical form is 20√3 in²

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Answer:

x = 1/9x + 2/9c

Step-by-step explanation:

9x – 2c = k

9x = k + 2c

x = 1/9x + 2/9c

Best of Luck!

If she uses its phone for 10000 minutes, her cost will be $575.

The typical form for two-variable linear equations is Ax+By=C. For example, 2x+3y=5 is a common linear equation. It is rather simple to find both intercepts when an equation is stated in this way (x and y).

The function b (z) = 0.05x+75,

value of x =  10000 minutes

Now putting the value of x into the equation we get:

b (z) = 0.05x+75,

b (z) = 0.05(10000)+75,

b (z) = 0.05(10000)+75,

       = 500 + 75

b (z) = 575

The bill if she uses her phone for 10000 minutes = 575.

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Answer:

The 9 is in the ones place.

:)

Answer:

First, let's find how many students there are in total:

11 girls + 9 boys

= 20 students.

Out of those 20 students, we are trying to find the probability if Natalia will be selected first.

There is only one Natalia.

So, out of those students, the probability of selecting Natalia is a:

1/20 probability

(if wanted to convert into a percentage):

1/20 x 100

= 5% probability

Since we already know there are 28 given pens in total and 4 of them are red pens, there is a:

4/28 chance of selecting a red pen which can be simplified to a 1/7 probability.

(if wanted to convert into a percentage):

1/7 x 100

= 14% probability

Since we already know there are 24 jelly beans in total and 9 of them are cherry beans, there is a:

9/24 chance/probability of selecting a cherry jelly bean.

(if wanted to convert into a percentage):

9/24 x 100

= 37.5% probability

Let's first figure out how many marbles there are in total.

2 + 3 + 7

= 12 marbles in total.

Now let's exclude the marbles that are blue and yellow, leaving us with 7 orange marbles.

So the probability of selecting a marble that isn't blue/yellow is a:

7/12 probability

(if wanted to convert into a percentage)

7/12 x 100

= 58% probability

Answer:

A. about 9.6 pounds of seeds

B. $4.5 per hour

Step-by-step explanation:

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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Answer:

-18+12

Step-by-step explanation:

Our negative number means that the government owes you $413.75. We would have to pay the government money if it weren't a negative number.

In order to pay for general government services, goods, and activities, local, state, and federal governments must collect mandated payments or charges from citizens and corporations.

Since ancient times, paying taxes to governments or officials has been a fundamental aspect of civilization.

So, to address this issue, utilize the Single column.

You must first calculate her taxes before deducting the tax credit.

She earns $17,000 in taxable income. She now falls into the 15% category.

The amount owed on the first 9275 dollars that are subject to the tax must first be determined.

.10 * 9275 =  927.50

The remainder of her debt, which is in the 15% range, must then be collected.

.15 * (17000 - 9275) = 1158.75

Add up all of our taxes on the money, then deduct our tax credit of $2500.

(927.50 + 1158.75) -  2500

(2086.25) -  2500 = -413.75

Therefore, our negative number means that the government owes you $413.75. We would have to pay the government money if it weren't a negative number.

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Answer:

neither because it's just fractions and numbers

Answer:

The Answer is 5.5, rounded to the nearest tenth

Step-by-step explanation:

650 x .05 = 32.5

178.25 ÷ 32.5 = 5.48461538462

5.48461538462 rounds to 5.5

It will take 5 years and 6 months to earn $178.25 in interest.

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is principal amount, T is time period and R is interest rate in a year.

Given:

You deposit $650 in a savings account with an annual interest rate of 5% to earn $178.25 in interest.

That means,

178.25 = 650 x 5 x t/100

t = 17825/3250

t = 5.5

Therefore, it will take 5 years and 6 months.

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Answer:

Step-by-step explanation:

For this kind of question you'd be better off if you'd write down and share your own answers to these conceptual questions and then ask for Brainly feedback on what you have written.  You'll need to understand the concept of "function" often in algebra and beyond.

What concepts (only the names) did you need to accommodate the concept of function in your mind?  input, output, rule, domain, range, mapping, variation (direct and inverse)

Simplest function:  y = c  (there's only one x-value and y equals that value)

In your day to day, is there any occurring fact that can be interpreted as a function?  An electronic parking meter:  the amount of time you can park at the meter without risking getting a ticket is dependent upon the number of quarters you insert into the meter, e. g, 15 minutes for 25 centers, 30 minutes for 50 cents, and so on.

Is it possible to view a function?  Sure.  Graph the function.

What strategy are you using to get the graph of a function?  Set up a coordinate plane.  Label the horizontal axis "x" and the vertical axis "y".  Choose x (input) values that are included in the domain of the function.  If the domain includes '0' you will be finding the 'y-intercept' of the function.  Write the input and output as a point:  (x, y).  Plot that point.  Choose other x values within the domain and calculate the corresponding y value for each.  Plot several more points and draw a line or a curve through them.  Of course there are more sophisticated strategies for graphing functions.  Remember:  If you're working with a function, there is never more than one output or y value for any particular input value.

Answer:

Mr. McDonald's class raised $6,000 dollars.

Step-by-step explanation:

So they're are 25 students in the class and they each sold 16 raffle tickets. The easiest way to do this problem is to first find the amount of raffle tickets sold and then multiply that by 15. You could also just do 25*16*15 but that doesn't make much sense just thinking about it. So the first operation we have to do is 25*16 because multiplication is repeated addition so we're basically doing 16+16 25 times to see how much raffle tickets were sold. So that is 400 and then we multiply by 15 because each ticket sold for 15 dollars so if we sold 400 raffle tickets for 15 dollars each, again multiplication is repeated addition so we do 15+15 400 times which is 400*15=6,000. So Mr.McDonald's class raised $6,000 dollars.

Answer:

see below

Step-by-step explanation:

center of circle = (2,-1)

r = 6 -2 = 4

We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius.

so the equation will be:

( x - 2 )^2 + ( y +1 )^2 =16

n^2 will still give you an odd integer, but if you add one it will be an even integer

Answer:

252

Step-by-step explanation:

252-

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful for who u r, not wht u look like. no matter ur shape, size, color, gender.. anything

don't give up bby i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Answer:2-3= ur answer then mutiply it by 4 then boom! hope helpsss\

Step-by-step explanation:

Answer:

Bro the answer is A

Step-by-step explanation:

trust me straight 100% brain dead person

Rolle's theorem can be applied on f(x) = x^2 - 5x + 6 in (2, 3).

The given function x^2 - 5x + 6 is a polynomial function, hence it is continuous in the interval [2, 3].

Differentiating f(x),

f ' (x) = 2x -5, which is differentiable in (2, 3).

f(2) = (2)^2-5(2)+6 = 0

f(3) = (3)^2-5(3)+6 = 0

Hence, f (2) = f (3)

All the hypothesis of Rolle's theorem are satisfied.

Then there exists a number c ∈ (2, 3):

f ' (x) = 0

2x - 5 = 0

x = 5/2 ∈ (2, 3).

The question is incomplete, the complete question is:

Rolle's Theorem: Let f be a function that satisfies the following hypothesis: -

- f is continuous on [a,b];

- f is differentiable on (a,b);

- f(a)=f(b):

Then there is number c: c ∈ (a, b), f ' (c) = 0.

Verify whether Rolle's theorem can be applied on f(x) = x^2 - 5x + 6 in the interval (2, 3).

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The fraction 13/7 lies between the fractions 6/6 and 6/7.

We have,

Between the fractions 6/6 and 6/7, there are infinitely many fractions.

To find a fraction that lies between these two fractions, we can take their average.

The fraction 6/6 simplifies to 1, and the fraction 6/7 cannot be simplified further.

To find the average, we add the two fractions and divide the sum by 2:

(6/6 + 6/7) / 2

To add the fractions, we need a common denominator, which is the least common multiple (LCM) of 6 and 7, which is 42.

Converting the fractions to have a common denominator:

(6/6) x (7/7) + (6/7) x (6/6) / 2

Simplifying the expression:

(42/42 + 36/42) / 2

Combining the numerators:

(78/42) / 2

Dividing:

78/42 = 13/7

Thus,

The fraction 13/7 lies between the fractions 6/6 and 6/7.

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The length of the third side is 14.4 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We find the third side of a triangle by using Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

8²+12²=x²

64+144=x²

208=x²

Take square root on both sides

x=14.4

Hence, the length of the third side is 14.4 units.

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a) The probability of losing money when standard deviation is 5% is 2.27%

b) The probability of losing money when standard deviation is 10% is 15.87%

Given,

There is an investment whose return is normally distributed.

The mean of the distribution = 10%

The standard deviation of the distribution = 5%

a) We have to determine the probability of losing money:

Lets take,

x = -0.005%

Now,

P(z ≤ (-10.005 / 5) ) = P(z ≤ - 2.001) = 0.02275

Now,

0.02275 × 100 = 2.27

That is,

The probability of losing money is 2.27%

b) We have to find the probability of losing money when the standard deviation is 10%

Let x be 0.01%

Now,

P(z ≤ (-10.01/10)) = P(z ≤ -1.001) = 0.15866

Now,

0.15866 × 100 = 15.87

That is,

The probability of losing money is 15.87%

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We have the following:

The first thing to do is locate Sheline's pay on the table.

We can see that it is in the first range of $ 0 - $ 9525, and its tax is better than $ 952.5, in this case it is 10% of its taxable income

Therefore,

Which means that shenile's taxable income is $ 8890

y = 4x -3

Find the y-intercept; (0, -3). Plug this coordinate's y-value in for the b (y = mx + b).

Now, find two points on the line to do slope formula, or you can do rise over run. For example, if I had the points (0, -3), and (1, 1), I'd have the formula [1 - (-3)] / (1 - 0), in which the division sign represents a fraction. The simplified version of this fraction will be 4.

Plug this value in for m.

Now, your equation is y = 4x - 3

The point of intersection between the function f(x) and g(x) is x = 4 then, g(x)=18 where option E (4,18) is correct answer.

What is a function?

A function is defined as a relation between a set of inputs having one output each.

We have,

f(x) = ( x + 5 ) ( x - 2 )

g(x) = ( 2x + 1 ) ( x - 2 )

To find the points of intersection between the two functions we must equal the function.

f(x) = g(x)

( x + 5 ) ( x - 2 ) = ( 2x + 1 ) ( x - 2 )

( x - 2 ) gets canceled

x + 5 = 2x + 1

5 - 1 = 2x - x

4 = x

x = 4

This means that at x =4 the function f(x) and g(x) intersect.

we can see that at x = 4 both the functions have the same value.

f(x) = ( x + 5 ) ( x - 2 ) = ( 4 + 5 ) ( 4 - 2 ) = 9 x 2

f(x) = 18

g(x) = ( 2x + 1 ) ( x - 2 ) = ( 2 x 4 + 1 ) ( 4 - 2 ) = ( 8 + 1 ) ( 4 - 2 )

     = 9 x 2

g(x) = 18

Thus the point of intersection between the function f(x) and g(x) is x = 4 then, g(x) =18 where option E (4,18) is correct answer.

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Answer:

315 jars

Step-by-step explanation:

This question is merely another way of writing: what is 35% of 900?

Now, when we look at it that way, it's easy to solve.

So, the way to solve is to either multiply 35% by 900, or just interpret that as 0.35 times 900. Anyway, the result is 315.

I hope this helped a bunch! Tell me if you need any further assistance...

( :

Answer:

You will find the answer from my explanation.

Step-by-step explanation:

Let the cost of one small shirt be x

And that of a large shirt be y

From the expression above;

4x + 14y = 210; since the total cost of a small shirt by Wili is;

4 * x and the large shirts 14 * y

Similarly for Jordan we have:

12x + 11y = 110; since the total cost of a small shirt by Jordan is;

12 * x and the large shirts 11 * y

We now have two equations,

So you can solve both equations now using elimination method;

If you multiply all the variables of x and y in the first equation by 3 and then subtract the second equation from it, x would be eliminated remaining y;

Multiplying the first equation we have;

12x + 42y = 630

- 12x + 11y = 110

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

0. + 31y = 520

You can continue from there

Step-by-step explanation:

therefore, the correct option should be A.

\(\begin{bmatrix}4x+4y=0\\ -4x-4y=0\end{bmatrix}\)

Subtract 4y from both sides.

\(4x+4y-4y=0-4y\)

Simplify

\(4x=-4y\)

Divide each side by 4

\(\frac{4x}{4}=\frac{-4y}{4}\)

Simplify

\(x= -y\)

Substitute x as -y.

\(\begin{bmatrix}-4\left(-y\right)-4y=0\end{bmatrix}\)

\(0=0\)

The values of x and y are both zero.