PLEASE HELP WILL GIVE BRAINLIEST PRECALC

Answer:

The answer is "[tex]= \frac{\pi}{8}(15-41n^2 )\\[/tex]".

Step-by-step explanation:

The radius = x

the value of height is= [tex]e^{-x}[/tex]

The Formula for  the volume by the shell method:

[tex]\bold{V= \int\limits^b_a {(2\pi\ rad)(height)} \, dx }[/tex]

   [tex]= 2\pi \int\limits^{In 16}_0 {xe^{-x}} \, dx\\\\\\= 2\pi {(e^{-x}[-x-1])}_{0}^{In 16}\\\\ = 2\pi {(\frac{1}{16} \times (15-41n^2 ))}\\\\ = \frac{\pi}{8}(15-41n^2 )\\[/tex]

Answer:

B. [tex] -3x [/tex]

Step-by-step explanation:

In algebra, a term could be a single negative or positive number (constant), a variable or a variable with a coefficient. It could also be 2 variables multiplied together.

The algebraic expression [tex] -3x - 7(x + 4) [/tex] , can be expanded and expressed as:

[tex] -3x - 7(x) -7(+4) [/tex]

[tex] -3x - 7x - 28 [/tex]

The three terms are: [tex]-3x, - 7x, -28[/tex]

Therefore, from the given answer choices, the term that is a term in the expression, [tex] -3x - 7(x + 4) [/tex] , is B. [tex] -3x [/tex]

Answer:

The length of BC is √105 cm or 10.2 cm.

Step-by-step explanation:

You have to apply Pythagoras Theorem, c² = a² + b² where c represents hypotenuse, a and b are the sides :

[tex] {c}^{2} = { a}^{2} + {b}^{2} [/tex]

[tex]let \:a =BC \:, \: b = 8 \: , \: c = 13[/tex]

[tex] {13}^{2} = {BC}^{2} + {8}^{2} [/tex]

[tex]169 = {BC}^{2} + 64[/tex]

[tex] {BC}^{2} = 169 - 64[/tex]

[tex] {BC}^{2} = 105[/tex]

[tex]BC = \sqrt{105} [/tex]

[tex]BC = 10.2 \: cm \: (3s.f)[/tex]

Answer:

[tex] \boxed{\sf Length \ of \ BC = \sqrt{105} \ cm} [/tex]

Given:

AB = 13 cm

AC = 8 cm

To Find:

Length of BC

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.

[tex] \therefore \\ \sf {AC}^{2} + {BC}^{2} = {AB}^{2} \\ \sf \implies {8}^{2} + {BC}^{2} = {13}^{2} \\ \\ \sf {8}^{2} = 64 : \\ \sf \implies 64 + {BC}^{2} = {13}^{2} \\ \\ \sf {13}^{2} = 169 : \\ \sf \implies 64 + {BC}^{2} = 169 \\ \\ \sf Substract \: 64 \: from \: both \: sides : \\ \sf \implies (64 - 64) + {BC}^{2} = 169 - 64 \\ \\ \sf 64 - 64 = 0 : \\ \sf \implies {BC}^{2} = 169 - 64 \\ \\ \sf 169 - 64 = 105 : \\ \sf \implies {BC}^{2} = 105 \\ \\ \sf \implies BC = \sqrt{ 105 } \ cm [/tex]

So,

Length of BC = [tex] \sqrt{105} [/tex] cm

Answer:

Sum of money = $600

Step-by-step explanation:

X = sum of money

Simple interest means that its the same percentage of interest for a given number of years.

The interest per annum is 5% for 3 years, so 5% x 3 = 15%

15% = 0.15 (as a decimal)

Now, we can put this into an equation:

0.15x = 90

x = 90 / 0.15

x = 600.

sum of money invested = $600

Answer:

No there cannot be.

Step-by-step explanation:

In explaining this question, I would like us to take into account who the barber is,

" the barber is the one who shaves all those, and those only, who do not shave themselves".

This barber cannot be in existence because who would shave him? If he should shave himself then there is a violation of the rule which says he shaves only those who do not shave themselves. If he shaves himself then he ceases to be a barber. And if he does not shave himself then he happens to be under those who must be shaved by the barber, because of what the rule says. But then he is the barber.

This lead us to a contradiction.

Neither is possible so there is no such barber.

Answer:4

Step-by-step explanation:

A zero-coupon bond  doesn’t make any payments. Instead, investors purchase the zero-coupon bond for less than its face value, and when the bond matures, they receive the face value.

To figure the price you should pay for a zero-coupon bond, you'll follow these steps:

Divide your required rate of return by 100 to convert it to a decimal.

Add 1 to the required rate of return as a decimal.

Raise the result to the power of the number of years until the bond matures.

Divide the face value of the bond to calculate the price to pay for the zero-coupon bond to achieve your desired rate of return.

First, divide 4 percent by 100 to get 0.04. Second, add 1 to 0.04 to get 1.04. Third, raise 1.04 to the sixth power to get 1.2653. Lastly, divide the face value of $1,000 by 1.2653 to find that the price to pay for the zero-coupon bond is $790,32.

Answer:

80 grams of butter

Step-by-step explanation:

640/2=329

3x320=960

960-880=80

Answer:

C. Supplementary

Step-by-step explanation:

Angle a and angle b are on the line CZA.

We can assume that line CZA is a straight line, which is equal to 180 degrees.

Since angle a and b are on the straight line together, they must add to 180 degrees. Therefore, they are supplementary angles.

So, choice C. Supplementary angles is correct.

Answer:

A. [tex]x^5+C[/tex]

Step-by-step explanation:

This is a great question! The first thing we want to do here is to take the constant out of the expression, in this case 5. Doing so we would receive the following expression -

[tex]5\cdot \int \:x^4dx[/tex]

We can then apply the power rule " [tex]\int x^adx=\frac{x^{a+1}}{a+1}[/tex] ", where a = exponent ( in this case 4 ),

[tex]5\cdot \frac{x^{4+1}}{4+1}[/tex]

From now onward just simplify the expression as one would normally, and afterward add a constant ( C ) to the solution -

[tex]5\cdot \frac{x^{4+1}}{4+1}\\[/tex] - Add the exponents,

[tex]5\cdot \frac{x^{5}}{5}[/tex] - 5 & 5 cancel each other out,

[tex]x^5[/tex] - And now adding the constant we see that our solution is option a!

Answer:

Answer A

Step-by-step explanation:

Use the property of integrals. You now have [tex]5 x\int\limits\,x^{4}dx[/tex] where the first x next to the 5 stands for multiplication. Let's evaluate it. We get [tex]5 (\frac{x^{5} }{5})[/tex]. From here, we can simplify this into [tex]x^{5}[/tex]. Add the constant of integration, which will give you the answer of [tex]x^{5} + C[/tex].

Answer:

The answer is option A.

Step-by-step explanation:

here, 5x^2-18x+9

=5x^2-(15+3)x+9

=5x^2-15x-3x+9

=5x(x-3)-3(x-3)

=(5x-3)(x-3)

so, the answer from the above options is (5x-3).

hope it helps..

Answer:  see below

Step-by-step explanation:

1) Foci is plural for Focus.  Since a hyperbola has two focus points, they are referred to as foci.  The foci is where the sum of the distances from any point on the curve to the foci is constant.

2) When determining the equation of a hyperbola you need the following:

    a)  does the hyperbola open up or to the right?

    b)  what is the center (h, k) of the hyperbola?

    c)  What is the slope of the asymptotes of the hyperbola?

3) The equation of a hyperbola is:

[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1\qquad or\qquad \dfrac{(y-k)^2}{b^2}-\dfrac{(x-h)^2}{a^2}=1[/tex]

Answer:

[tex]\boxed{Option \ C}[/tex]

Step-by-step explanation:

[tex]y = -x^2+3x+18\\y = -2x+4[/tex]

Equating both equations

=> [tex]-x^2+3x+18 = -2x+4\\x^2-2x-3x+4-18 = 0\\x^2-5x-14=0[/tex]

Using mid term break formula

=> [tex]x^2-7x+2x-14=0\\x(x-7)+2(x-7)=0\\Taking \ (x-7) \ common\\(x+2)(x-7) = 0[/tex]

Either,

x + 2 = 0     OR    x - 7 = 0

 x = -2         OR      x = 7

For, x = -2 , y is

=> y = -2x+4

=> y = -2(-2)+4

=> y = 4+4

=> y = 8

So, the ordered pair is (-2,8)

For x = 7 , y is

=> y = -2(7)+4

=> y = -14+4

=> y = -10

So, the ordered pair for this is (7, -10)

Solution Set = {(-2,8),(7,-10)}

Answer:

The answer is option C

Step-by-step explanation:

y = - x² + 3x + 18

y = - 2x + 4

Since they are both equal to y we equate them

That's,

- x² + 3x + 18 = - 2x + 4

x² - 5x - 14 = 0

Solve the quadratic equation

x² - 5x - 14 = 0

x² + 2x - 7x - 14 = 0

x(x + 2) - 7( x + 2) = 0

( x - 7)(x + 2) = 0

x - 7 = 0 x + 2 = 0

x = 7 x = - 2

Substitute the values of x into y = - 2x + 4

That's

when x = 7 when x = - 2

y = - 2(7) + 4 y = - 2(-2) + 4

y = - 14 + 4 y = 4 + 4

y = - 10 y = 8

So the solutions are

Hope this helps you

A range for the values of x:

-2, -1, 0, 1, 2,

Happy to help! You can certainly extend this range

Answer:

[tex]\boxed{(1, -3)}[/tex]

Step-by-step explanation:

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

Put equation in slope-intercept form.

[tex]y=mx+b[/tex]

[tex]y=2(x-1)-3[/tex]

[tex]y=2x-2-3[/tex]

[tex]y=2x-5[/tex]

Let x = 1

[tex]y=2(1)-5[/tex]

[tex]y=2-5[/tex]

[tex]y=-3[/tex]

The point (1, -3) lies on the line.

Answer:

43 mountain climbers have not climbed either mountain.

Step-by-step explanation:

Total number of mountain climbers, i.e. n(U) = 60

Number of mountain climbers who have climbed Mt. Everest, n(E) = 10

Number of mountain climbers who have climbed Mt. Rainier, n(R) = 15

Number of mountain climbers who have climbed both, n(E [tex]\cap[/tex] R) = 15

Using the formula to find number of climbers who have climbed either of the mountains:

[tex]n(A \cup B) = n(A)+n(B)-n(A\cup B )[/tex]

[tex]\therefore n(E \cup R) = n(E)+n(R)-n(E\cup R )\\\Rightarrow n(E \cup R) = 10+15-8 = 17[/tex]

To find, who have not climbed either mountain:

[tex]n(E\cup B)'=n(U) - n(E\cap B)\\\Rightarrow n(E\cup B)'=60 - 17 = \bold{43}[/tex]

So, the answer is:

43 mountain climbers have not climbed either mountain.

Set up two equations:

Let a = adults and c = child:

a +  c = 289 ( rewrite as a = 289 - c)

1.50c + 4a = 746

Replace a with the rewritten formula:

1.50c + 4(289-c) = 746

SImplify:

1.50c + 1156 - 4c = 746

Combine like terms:

-2.50c + 1156 = 746

Subtract 1156 from both sides:

-2.50c = -410

Divide both sides by -2.50

c = -410 / -2.50 = 164

Number of children = 164

Number of adults = 289 - 164 = 125

Answer:

[tex] x+y = 289[/tex] (1) total people entered

[tex] 1.50 x +4 y = 746[/tex] (2) total amount collected

From the first equation we can solve for x and we got:

[tex] x = 289-y[/tex] (3)

Replacing (3) into (2) we got:

[tex] 1.5(289-y) +4y = 746[/tex]

And solving for y we got:

[tex] 433.5 -1.5 y +4y = 746[/tex]

[tex] 2.5 y= 312.5[/tex]

[tex]y=\frac{312.5}{2.5}= 125[/tex]

And then using (3) we can solve for x and we got:

[tex] x= 289-125= 164[/tex]

So then we have:

number of children = 164

number of adults = 125

Step-by-step explanation:

Let x the number of children and y the number of adults. From the info given we can set up the following equations:

[tex] x+y = 289[/tex] (1) total people entered

[tex] 1.50 x +4 y = 746[/tex] (2) total amount collected

From the first equation we can solve for x and we got:

[tex] x = 289-y[/tex] (3)

Replacing (3) into (2) we got:

[tex] 1.5(289-y) +4y = 746[/tex]

And solving for y we got:

[tex] 433.5 -1.5 y +4y = 746[/tex]

[tex] 2.5 y= 312.5[/tex]

[tex]y=\frac{312.5}{2.5}= 125[/tex]

And then using (3) we can solve for x and we got:

[tex] x= 289-125= 164[/tex]

So then we have:

number of children = 164

number of adults = 125

Answer:

h(x) = -x^2 - 1

Step-by-step explanation:

well y, h(x), f(x), n(x), or any other something of x is all the same thing y.

So if f(x) is -x^2 - 1,

Then h(x) is also -x^2 - 1

Answer:

monomial

Step-by-step explanation:

Answer:

[tex]x = -5[/tex]

Step-by-step explanation:

We can simplify this equation down until x is isolated.

[tex]2x - 3 + 3x = -28[/tex]

We can combine the like terms of x.

[tex]5x - 3 = -28[/tex]

Add 3 to both sides.

[tex]5x = -25[/tex]

Now we can divide both sides by 5.

[tex]x = -5[/tex].

So x = -5.

Hope this helped!

Answer:

x=-5

Step-by-step explanation:

first combine like terms

5x-3=-28

add on both sides

5x=-25

divide

x==-5

Answer:

the radius of the circle =7

Step-by-step explanation:

the function of a circle:(x – h)^2 + (y – k)^2 = r^2

center(0,0) because the center of a circle is at the origin (h,k)

a line intersect at (0,7)

(0-0)^+7-0)^2=r^2

r^2=49 , r=√49

radius r=7

NoAnswer:

Step-by-step explanation:

Cause I’m good

Answer:

No solutions

Step-by-step explanation:

14(z + 3) = 14z + 21

Expand brackets.

14z + 42 = 14z + 21

Subtract 14z on both sides.

42 = 21

There are no solutions.

Answer:

No solution

Step-by-step explanation:

First, We have to simplify the right side.

Distribute 14, 14z+42.

Now the equation stands as 14z+42=14z+21

Subtract 14z from both sides,

this makes it 42=21.

We know when the solution is #=#, our answer is no solution.

Answer:

Children: $13

Adults: $18

Step-by-step explanation:

Well for both sets we can set up the following system of equations,

[tex]\left \{ {{3a + 4c = 106} \atop {2a + 3c = 75}} \right.[/tex]

So first we need to solve for a in the first equation.

3a + 4c = 106

-4c to both sides

3a = -4c + 106

Divide 3 by both sides

a = -4/3c + 35 1/3

Now we plug in that a for a in 2a + 3c = 75.

2(-4/3c + 35 1/3) + 3c = 75

-8/3c + 70 2/3 + 3c = 75

Combine like terms

1/3c + 70 2/3 = 75

-70 2/3 to both sides

1/3c = 4 1/3

Divide 1/3 to both sides

c = 13

Now we can plug in 13 for c in 3a + 4c = 106,

3a + 4(13) = 106

3a + 52 = 106

-52 to both sides

3a = 54

Divide 3 by both sides.

a = 18

Thus,

an adult ticket is $18 and a children's ticket is $13.

Hope this helps :)

Answer:

Adults pay $18 and children pay $13.5

Step-by-step explanation:

Hello!

You need to calculate the price of the tickets for adults and children for the group trip to New York.

If X represents adult and Y represents children, then you can express the given information as two equations with two unknown values:

Three adults and four children must pay $106. ⇒ 3X + 4Y= $106

Two adults and three children must pay $75. ⇒ 2X + 3Y= $75

I) First step, in one of the equations you have to clear one of the unknown values, I'll clear the value of Y:

3X + 4Y= 106

4Y= 106 - 3X

[tex]Y= \frac{106-3X}{4}[/tex]

II) Second step you have to replace it in the second equation:

2X + 3Y= 75

[tex]2X + 3(\frac{106-3X}{4} )= 75[/tex]

[tex]2X + \frac{3}{4}(106-3X)= 75[/tex]

[tex]2X + (\frac{3}{4}*106 - \frac{3}{4}*3X )= 75[/tex]

[tex]2X + 79.5 -\frac{9}{4}X =75[/tex]

[tex]2X - \frac{9}{4}X= 75 - 79.5[/tex]

[tex]-\frac{1}{4} X= -\frac{9}{2}[/tex]

[tex]X= -\frac{9}{2} * -4= 18[/tex]

The price for adult tickets is $18.

III) Third step, using the calculated value of X, you replace it on the formula obtained in I) yo calculate the price for the children Y:

[tex]Y= \frac{106-3X}{4}= \frac{106-(3*18)}{4} = \frac{27}{2}= 13.5[/tex]

The ticket price for children is $13.5

I hope this helps!

Answer:  D. 125%

Step-by-step explanation:

An INCREASE of 25% means the original volume (100%) + 25% = 125%

Answer:

[tex]\boxed{125\%}[/tex]

Step-by-step explanation:

[tex]original \: pressure=100\%[/tex]

[tex]increase=25\%[/tex]

[tex]new \: pressure=100\%+25\%=125\%[/tex]

The new pressure will be 125% of the original pressure.

Answer:

The doctors can expect the middle 68 % of their knee replacement surgery patients to be between 49.75 years and 66.25 years.

Step-by-step explanation:

68 % of the knee replacement surgery patients implies that the ages lies within x = x₀ ± σ where x₀ = mean age = 58 years and σ = standard deviation = 8.25 years

So, the ages lies between x₀ + σ and x₀ - σ

So, the ages lie between 58 - 8.25 = 49.75 years

and 58 + 8.25 = 66.25 years

So the doctors can expect the middle 68 % of their knee replacement surgery patients to be between 49.75 years and 66.25 years.

Answer:

16

Step-by-step explanation:

(-8)^4/3

-(8^1/3)⁴

-(∛8)⁴

-(2)⁴

-2⁴

= 16

Answer: the ^^^^ right I check it

Step-by-step explanation:

Answer:

6/3x= 2x

12/3=4

-2x

14

2x +4 -2x +14= 18

Answer:

No solution for x

Step-by-step explanation:

it  is Impossible so x= ∅, no solution for x

Answer:

width of the garden is 50 ft and the length is 70 ft

Step-by-step explanation:

Solution:-

- We will denote the width and and the length of the rectangular garden as:

   Width: x

   Length: x + 20

- We are given the area ( A ) of the garden is 3500 ft^2. We are to determine for what dimensions is the area A = 3500 ft^2.

- Recall that the area ( A ) of a rectangle is the product of length and width as follows:

                      A = Length * width

                      A = x*( x + 20 )

                      3500 = x^2 + 20x

                      x^2 + 20x - 3500 = 0

- Use the quadratic formula to determine the value of ( x ):

                     [tex]x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-20 +/- \sqrt{20^2 - 4*-3500} }{2}\\\\x = \frac{-20 +/- 120 }{2} = -10 +/- 60\\\\x = -70 , 50[/tex]

- Ignore the negative value of ( - 70 ft ). Physical impractical to have a negative value. Hence, the width of the garden is 50 ft and the length is 70 ft

Answer:

  t + m ≤ 11

Step-by-step explanation:

The total weight will be the sum of the weights of the bags present. The weight of t bags of topsoil will be 30t; the weight of m bags of mulch will be 30m. We want the total weight to be at most 330. (Weight numbers are in pounds.)

  30t +30m ≤ 330

We can remove a factor of 30 to simplify this to ...

  t + m ≤ 11

_____

You may be expected to use the un-simplified form of the inequality.