Y varies inversely with x and when x = 7, y = 15. Find x when y = 21

x=​

Answer:

cc

Step-by-step explanation:

Answer:

(a) See attachment for tree diagram

(b) 24 possible outcomes

Step-by-step explanation:

Given

[tex]Urn\ 1 = \{B_1, R_1, R_2, R_3\}[/tex]

[tex]Urn\ 2 = \{R_4, R_5, B_2, B_3\}[/tex]

Solving (a): A possibility tree

If urn 1 is selected, the following selection exists:

[tex]B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2][/tex]

If urn 2 is selected, the following selection exists:

[tex]B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4][/tex]

See attachment for possibility tree

Solving (b): The total number of outcome

For urn 1

There are 4 balls in urn 1

[tex]n = \{B_1,R_1,R_2,R_3\}[/tex]

Each of the balls has 3 subsets. i.e.

[tex]B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2][/tex]

So, the selection is:

[tex]Urn\ 1 = 4 * 3[/tex]

[tex]Urn\ 1 = 12[/tex]

For urn 2

There are 4 balls in urn 2

[tex]n = \{B_2,B_3,R_4,R_5\}[/tex]

Each of the balls has 3 subsets. i.e.

[tex]B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4][/tex]

So, the selection is:

[tex]Urn\ 2 = 4 * 3[/tex]

[tex]Urn\ 2 = 12[/tex]

Total number of outcomes is:

[tex]Total = Urn\ 1 + Urn\ 2[/tex]

[tex]Total = 12 + 12[/tex]

[tex]Total = 24[/tex]

Answer:

is the number 2?

Step-by-step explanation:

Answer:

The number could be  

1 1/2 or -2

explanation:

From the data, taking the number to be  x, we write:

2x^2 + x =6

Subtract 6 from both sides.

2x^2 + x - 6 = 0

Factorise.

2x^2 + 4x - 3x - 6 = 0

2x(x + 2) - 3(x + 2) = 0

(2x - 3)(x + 2) = 0

2x - 3 = 0 or x +2 = -2

x = 3/2 = 1 1/2 or x = -2

Step-by-step explanation: This simple confidence interval calculator uses a Z statistic and sample mean (M) to generate an interval estimate of a population mean (μ).

Note: You should only use this calculator if (a) your sample size is 30 or greater; and/or (b) you know the population standard deviation (σ), and use this instead of your sample's standard deviation (an unusual situation). If your data does not meet these requirements, consider using the t statistic to generate a confidence interval.

where:

M = sample mean

Z = Z statistic determined by confidence level

sM = standard error = √(s2/n)

As you can see, to perform this calculation you need to know your sample mean, the number of items in your sample, and your sample's standard deviation (or population's standard deviation if your sample size is smaller than 30). (If you need to calculate mean and standard deviation from a set of raw scores, you can do so using our descriptive statistics tools.)

Answer:

8

Step-by-step explanation:

2 : 4

8 : 16

Answer:

x = 24

Step-by-step explanation:

The angles are supplementary therefor

(5x + 13) + (x + 23) = 180

Combine like terms

6x + 36 = 180

Subtract 36 from both sides

6x = 144

Divde both sides by 6

x = 24

Answer:

5x+13+x+23=180°[exterior corresponding angle is supplementary.

6x=180-36

x=144/6

x=24

Answer:

14.5cm

Step-by-step explanation:

radius is half of diameter

29 / 2 = 14.5

Answer:

A) 32

Step-by-step explanation:

f(3)=1/2(4)^(3)

We'll first need to determine what the composite function f(g(x)) is equal to.

Start with the outer function f(x). Then replace every copy of x with g(x). Afterward, plug in g(x) = 3x-2

So we get the following:

[tex]f(x) = \sqrt{x^2-4}\\\\f(g(x)) = \sqrt{(g(x))^2-4}\\\\f(g(x)) = \sqrt{(3x-2)^2-4}\\\\f(g(x)) = \sqrt{9x^2-12x+4-4}\\\\f(g(x)) = \sqrt{9x^2-12x}\\\\[/tex]

Next, we apply the derivative

[tex]f(g(x)) = \sqrt{9x^2-12x}\\\\f(g(x)) = (9x^2-12x)^{1/2}\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*\frac{d}{dx}(9x^2-12x)\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*(18x-12)\\\\f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\[/tex]

Don't forget about the chain rule. The chain rule is applied in step 3 of that block of steps shown above.

The last thing we do is plug in x = 3 and simplify.

[tex]f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\f'(g(3)) = \frac{9*3-6}{\sqrt{9*3^2-12*3}}\\\\f'(g(3)) = \frac{21}{\sqrt{45}}\\\\f'(g(3)) = \frac{21}{\sqrt{9*5}}\\\\f'(g(3)) = \frac{21}{\sqrt{9}*\sqrt{5}}\\\\f'(g(3)) = \frac{21}{3*\sqrt{5}}\\\\f'(g(3)) = \frac{7}{\sqrt{5}}\\\\[/tex]

Side note: if you choose to rationalize the denominator, then you'll multiply both top and bottom by sqrt(5) to end up with [tex]f'(g(3)) = \frac{7\sqrt{5}}{5}\\\\[/tex]; however, your teacher has chosen not to rationalize the denominator.

Answer: Inequality Form: y<-10 or Interval Notation: (-∞,-10)

Answer:

y<-10

Step-by-step explanation:

to remove the fraction then set to 0 and solve

Answer:

4/4 ?

Step-by-step explanation:

Answer:

4/4

Step-by-step explanation:

Since there are four pieces and none of them is eaten or taken we just do the number of total of pieces as the denominator and the number of pieces taken away on the numerator, since there wasn't any taken away we put it as 4 because there are 4 pieces still there of cake.

Answer: Hii!

Step-by-step explanation:

Answer:

1 There are 20 marbles in a bag. 0/1 . 4 marbles are green. • 7 marbles are red. 5 marbles are white. • 4 marbles are purple. Based on this information, what is the probability a marble choosen will be green or purple? Show Your Work y Green y Purple u 8 8 20 5 4 니 + 20 marbles You have responded to 11 of 11 questions 1 response does not have any content.​

Step-by-step explanation:

Answer:

more than 2 triangles

Step-by-step explanation:

well, all triangles have angles add up to 180 degrees, so it is an infinite amount

Step-by-step explanation:

Math is hard.....

and I don't like it anymore

Question

If Johnathon has work 16 hours a day from 8am to 12pm, and he has to drive from point a to b, which the distance is 3600 miles. His car can drive for 700 miles on a full tank of gas, which 1 gallon is 28 miles. What is the amount of stops and gallons of gas to get to point a and b?

Step-by-step explanation:

Answer:

[tex]\dfrac{6}{10}ab[/tex]

Step-by-step explanation:

Given that,

The first number is [tex]\dfrac{-3a}{7}[/tex]

The second number is [tex]\dfrac{-21b}{15}[/tex]

We need to find the product of the first number and second number. Product means we need to multiply i.e.

[tex]\dfrac{-3a}{7}\times \dfrac{-21b}{15}=0.6ab\\\\=\dfrac{6}{10}ab[/tex]

Hence, the product of the given numbers is equal to [tex]\dfrac{6}{10}ab[/tex].

Answer:

m=Y2–Y1/X2–X1

[tex]m = \frac{ - 9 - (6)}{1 - ( - 4)} \\ m = \frac{ - 15}{5} = - 3 \\ y = mx + b \\ y = - 3x + b[/tex]

Answer: y = -5x - 14

Step-by-step explanation:

first find the difference between the x variables x1 = 1 and x2=-4 to find the slope(m)

-4 - 1 = -5

next find the difference between the y variables to find b

-9 - 6 = -14

Given:

The expression is:

[tex]\dfrac{1}{2}(\cos (72)+i\sin (72))^5[/tex]

To find:

The [tex]a+bi[/tex] form for the given expression.

Solution:

According to De Moivre's theorem,

[tex](\cos \theta+i\sin \theta)^n=\cos (n\theta )+i\sin (n\theta )[/tex]

We have,

[tex]\dfrac{1}{2}(\cos (72)+i\sin (72))^5[/tex]

Using De Moivre's theorem, we get

[tex]=\dfrac{1}{2}(\cos (72\times 5)+i\sin (72\times 5))[/tex]

[tex]=\dfrac{1}{2}(\cos (360)+i\sin (360))[/tex]

[tex]=\dfrac{1}{2}(1+i(0))[/tex]

[tex]=\dfrac{1}{2}+0i[/tex]

It is the [tex]a+bi[/tex] form of the given expression. Here, [tex]a=\dfrac{1}{2},\ b=0[/tex].

Therefore, the required expression is [tex]\dfrac{1}{2}+0i[/tex].

Answer:

Option (2)

Step-by-step explanation:

From the picture attached,

Length of OG = 16

Length of PE = 9

Let us draw a perpendicular AE to OG which intersects at A.

Length of AG = OG - PE

                      = 16 - 9

                      = 7

Length of AE = OP

                      = OT + TP

                      = OG + PE [Since, OT = OG and TP = PE, radii of the circles]

                      = 16 + 9

                      = 25

By applying Pythagoras theorem in ΔGAE,

GE² = AG² + AE²

GE² = 7² + 25²

GE = √674

GE = 25.96

     ≈ 26

Option (2) will be the correct option.

Answer:

6.5

Step-by-step explanation:

6.5

Answer:

5 4/7

Step-by-step explanation:

if i read your question right that is the answer

Answer:

The answer is $22.75! (A)

Step-by-step explanation:

All you have to do is subtract $36.50 by $13.75 and get the amount of the 2nd piggy bank.

22.75 + 13.75 = 36.50

Step-by-step explanation:

See the photo for the method

Answer:

18.285 in.²

Step-by-step explanation:

3 in. × 4 in. = 12 in.²

A = πr²

A = 12.57 in.²

12.57 in.² ÷ 2 = 6.285 in.²

6.285 in.² + 12 in.²

18.285 in.²

Step-by-step explanation:

3 -> 6

? -> 1

? x 6 = 3 x 1

? = 3 / 6 = 1/2 pound bag of soil

1/2 pound soil will be in each bag

Answer:

base times height divide by two

26 times 17=442/2=221

the answer is 221

Step-by-step explanation:

Answer:

Step-by-step explanation:

5P4=5×4×3×2=120

Answer:

x=72

y=54

Step-by-step explanation:

1st question. y=54 because it is a bisector of the 108 degree angles. (a polygon's interior angles add to number of sides minus 2 times 180)

There are two ys, so they add up to 108. A triangle's interior angles add to 180. 180-108 =72 x=72

2nd question, x is 72 ( it says x is the same measure) so 180-72=2y.

y still equals 54

Answer:

this is so easy

Step-by-step explanation:

3000* (15) (300) divided by 20 x 60 100ft  divided by 40

h=3 cause 3x30=90 ig loo