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Answer:

16.2

Step-by-step explanation:

By geometric mean theorem:

[tex] {9}^{2} = 5(x) \\ \\ \implies \: 81 = 5x \\ \\ \implies \: x= \frac{81}{5} \\ \\ \implies \: x=16.2[/tex]

Answer:

the first one is the answer

The plane has intercepts

y = z = 0   ⇒   3x = 6   ⇒   x = 2

x = z = 0   ⇒   2y = 6   ⇒   y = 3

x = y = 0   ⇒   z = 6

and thus passes through the points (2, 0, 0), (0, 3, 0), and (0, 0, 6).

Parameterize the portion of the plane (call it P) by the vector function,

[tex]\vec r(s,t) = \left\langle 2(1-s)(1-t), 3s(1-t), 6t \right\rangle[/tex]

where 0 ≤ s ≤ 1 and 0 ≤ t ≤ 1.

Compute the normal vector to P :

[tex]\vec n = \dfrac{\partial \vec r}{\partial t} \times \dfrac{\partial \vec r}{\partial s} = -\left\langle 18-18t, 12-12t, 6-6t \right\rangle[/tex]

Then the flux of F through P is given by the surface integral,

[tex]\displaystyle \iint_P \vec F \cdot d\vec S = \int_0^1 \int_0^1 \left\langle 6s(1-s)(1-t)^2, 90st(1-t), 72t(1-s)(1-t) \right\rangle \cdot \vec n \, ds \, dt \\\\ = - \int_0^1 \int_0^1 \left(108(t-1)^3 s^2 + 108(t-1)^2(5t+1) s + 432t(t-1)^2\right) \, ds \, dt \\\\ = - \int_0^1 18(t-1)^2(41t+1) \, dt \\\\ = \boxed{-\frac{135}2}[/tex]

The entrance fee is d dollars, and the meal ticket is $4 less than the entrance fee -> Each meal ticket is d - 4

So, the total amount that the friends pay is 5(d-4)

Answer:

A, B,C, and E. I hope this helps.

Step-by-step explanation:

Answer:

B. 967 units is the answer

Answer:

C

Step-by-step explanation:

The function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is a rational function

The simplified expression of the function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is [tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]

The function expression is given as:

f(x) =x - 4/x^2 + 13x + 36

Rewrite properly as:

[tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex]

Expand the denominator

[tex]f(x) =\frac{x - 4}{x^2 + 4x + 9x + 36}[/tex]

Factorize the denominator

[tex]f(x) =\frac{x - 4}{x(x + 4) + 9(x + 4)}[/tex]

Factor out x + 9

[tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]

Hence, the simplified expression of the function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is

[tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]

Read more about rational functions at:

https://brainly.com/question/1851758

Answer: f(x) is increasing for all x > -4

Proof of validity is shown below.

Answer:

5 feet

Step-by-step explanation:

Hello!

We can use the Pythagorean theorem to solve this.

Formula: a² + b² = c²

Solve:

The diagonal is 5 feet.

Answer:

B) 5 ft

Step-by-step explanation:

Answer:

34 28 37 56 34 37 28 20 43 15

Answer:

outside the circle

sorry if I'm wrong

Answer:

Yes it does.

Step-by-step explanation:

I gives an estimate of what the weather is.

Answer:

y can only be greater than x if x has a variable less than y so the answers is ly- lx

Step-by-step explanation:

so her University costs are $22,500

however she gets some help because

◉ academic scholarship pays 10,000 off of that

◉ other scholarships pay 4,400 off of that

◉ and her parents pay 1800 off of that

what's left? well, what's left is 22500 - 10000 - 4400 - 1800 = 6300 bucks.

so for the next 10 months she needs to cover 6300 bucks of her expenses, now 6300 spread over 10 months is 630 a pop.

Linear equations are typically organized in slope-intercept form:

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

To determine a linear equation in slope-intercept form:

We're given:

First, find the slope of the line (m):

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

⇒ Plug in the given points (-1,-4) and (5,-2):

[tex]m=\dfrac{-2-(-4)}{5-(-1)}\\\\m=\dfrac{-2+4}{5+1}\\\\m=\dfrac{2}{6}\\\\m=\dfrac{1}{3}[/tex]

⇒ Therefore, the slope of the line is [tex]\dfrac{1}{3}[/tex]. Plug this into y=mx+b:

[tex]y=\dfrac{1}{3}x+b[/tex]

Now, determine the y-intercept (b):

[tex]y=\dfrac{1}{3}x+b[/tex]

⇒ Plug in one of the points and solve for b:

[tex]-4=\dfrac{1}{3}(-1)+b\\\\-4=-\dfrac{1}{3}+b\\\\-4+\dfrac{1}{3}=b\\\\b=-\dfrac{11}{3}[/tex]

⇒ Therefore, the y-intercept is [tex]-\dfrac{11}{3}[/tex]. Plug this back into our original equation:

[tex]y=\dfrac{1}{3}x-\dfrac{11}{3}[/tex]

[tex]y=\dfrac{1}{3}x-\dfrac{11}{3}[/tex]

The surface area of this rectangular prism of dimensions 26 inches by 10 inches by 8 inches is 1096 square inches.

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The surface area of this rectangular prism = 2( lb + bh + hl)

The dimensions of a rectangular prism are 26 inches by 10 inches by 8 inches.

The surface area of this rectangular prism = 2( lb + bh + hl)

  = 2( 26 x 10 + 10 x 8 + 26 x 8)

  = 2(260 + 80 + 208)

  = 2 x 548

  = 1096

Thus, The surface area of this rectangular prism is 1096 square inches.

Learn more about the area;

https://brainly.com/question/6754997

#SPJ1

Answer:

The length is 19 inches

Step-by-step explanation:

Step 1:  Determine the length

Perimeter = 2(L + W)

Step 2:  Solve for L

60 /2 = 2(L + 11) / 2

30 - 11 = L + 11 - 11

19 = L

Answer:  The length is 19 inches

Answer:

Step-by-step explanation:

Perimeter : 2(L + W) = 60

No. A function maps one input to exactly one output. The given relation maps 1 to both 1 and -1, as indicated by the pairs (1, 1) and (1, -1).

Answer:

C 28

Step-by-step explanation:

16 tiles is enough for 28  i think cuz i can't use links

Answer:

it is C 28

Step-by-step explanation:

Answer:

The mean is 6. When you add all the numbers you get 66 and then youre suppose to divide 66 by 10 in order to get the mean which is 6.

Step-by-step explanation:

4 + 5 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9 = 66

66 ÷ 10 = 6

Answer:

Y =4x^4 + 4x^3 − 37x^2 + 41x −12

Step-by-step explanation:

Y = (2x - 1 ) (x + 4) (2x - 3) (x - 1)

Using commutative property we can re-arrange RHS,

Y= (2x - 1) (2x - 3) (x + 4) (x - 1)

Using the property

[(x+a) (x+b) = x^2 + (a+b)*x +ab],

Y =

[(2x)^2 + (-1 - 3)*2x + (-1 )*(-3)] [x^2 + (4 - 1)*x + 4*(-1)]

From here onwards I would recommend u to do the calculation by your own bc I might have made mistakes

in the steps but I got right but still just check yourself if u copy all the steps as it is

Y = (4x^2 -8x + 3) (x^2 + 3x -4)

Y = 4x^4 + 12x^3 - 16x^2 -8x^3 -24x^2 + 32x + 3x^2 + 9x - 12

Y = 4x^4 + 4x^3 -37x^2 + 41x - 12

Here I got the answer right so my calculations will also might be right

I checked my answer if it's right using an app called "MathPapa" and it's a great app to solve algebra questions like urs. The screenshot of the answer using this app is here on the top. This is the longest question I have solved for anyone, bye and have a nice day ahead!

Answer:

That question is statistical because there can be multiple answers such as, biking, walking, carpooling, and taking a bus.

Step-by-step explanation:

[tex]\begin{cases} f(x)=x^2\\ g(x)=x-3 \end{cases}\qquad \qquad (g\circ f)(x)\implies g(~~ f(x)~~) \\\\[-0.35em] ~\dotfill\\\\ f(3.5)=(3.5)^2\implies f(3.5)=12.25 \\\\\\ g(~~ f(3.5)~~)\implies g(~~ 12.25~~)=(12.25)-3\implies \stackrel{(g\circ f)(3.5)}{g(~~ 12.25~~)}=9.25[/tex]

Answer: T-R

Step-by-step explanation:

Answer:

the answer to that question is 14.09

Answer:

(8/3,11/3) is the centroid of the given triangle

pls do mention in comment if u need full solution

Answer:

(8/3, 11/3)

Step-by-step explanation:

Formula of the centroid

Points

Solving :

Answer:

The answers are: 35 hot dogs & 52 sodas.

Answer:

16 times

Step-by-step explanation:

This problem is solved by ratio. Since the ratio of 28 out of 25 times is 4:5, he has to catch the ball 4:5 or 4 of 5 times. You multiply both 5 and 4 by 4, because that's how many times he's gonna catch it. 4 x 4 = 16, so the answer is 16 times.

Answer:

(4/5)^20

Step-by-step explanation:

1) First, write the numbers of times Raymond caught the football out of 35 attempts. This is a necessary step in order to obtain an appropriate operand.

28

35

2) Reduce the fraction to lowest terms. This is an optional step but it simplifies the problem.

28   /  4

35      4

= 4

  5

3) Raise the fraction to the 20th power. If the ball is thrown at him 20 times, the probability of him successfully catching the ball must be (4/5)^20.

= (4)^2

  (5)