please help me ASAPPPPPPPP

Answer:

Step-by-step explanation:

4). Given functions are,

   [tex]f(x)=\frac{1}{3x}[/tex]

   For [tex]x=\frac{1}{12}[/tex]

   [tex]f(\frac{1}{12})=\frac{1}{3(\frac{1}{12})}[/tex]

             [tex]=\frac{1}{\frac{1}{4}}[/tex]

             [tex]=1\times\frac{4}{1}[/tex]

             [tex]=4[/tex]

   [tex]g(x)=\frac{1}{x^2}[/tex]

   For [tex]x=\frac{1}{5}[/tex],

   [tex]g(\frac{1}{5})=\frac{1}{(\frac{1}{5})^2}[/tex]

           [tex]=\frac{1}{\frac{1}{25}}[/tex]

           [tex]=25[/tex]

  [tex]f(\frac{1}{12})-g(\frac{1}{5})=4-25[/tex]

                       [tex]=-21[/tex]

5). f(x) = -2x² + 3x - 8

    f(k + 4) = -2(k + 4)² + 3(k + 4) - 8

                = -2(k² + 8k + 16) + 3(k + 4) - 8

                = -2k² - 16k - 32 + 3k + 12 - 8

                = -2k² - 13k - 28

Answer:

y=3.5x+9

and

y=x

Answer:

Jenny's room

Step-by-step explanation:

13x12 = 156 and 14x11 = 154

Therefore Jenny's room is bigger.

The transformation of a function may involve any change. The correct option is D.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift:

Stretching:

The given function f(x)=x² is transformed to h(x)=(1/8)x^2-13, therefore, the graph or f(x) is horizontally stretched by a factor of 8 and shifted 13 units to the right.

Hence, the correct option is D.

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Answer:

A.the graph of f(x) is vertically compressed by a factor of 8 and shifted 13 units to the right

Answer:

A, B, and E.

Step-by-step explanation:

We know that one vertex is at (5, 4), and each side of our square is 3 units long.

Then the distance between the known vertex and another vertex is 3 units (if those vertexes are connected by a side of the square) or (√2)*3  units (if those vertexes are connected by the diagonal of the square).

Also remember that the distance between two points (a, b) and (b, c) is:

distance = √(  (a - c)^2 + (b - d)^2)

So we need to find the distance between our point and all the ones given in the options:

A) the distance between (5, 4) and (5, 1) is:

distance = √( (5 - 5)^2 + (4 - 1)^2) = 3

Then point (5, 1) can be a vertex.

B) The distance between (5, 4) and (5, 7) is:

distance = √( (5 - 5)^2 + (4 - 7)^2) = 3

Then (5, 7) can be a vertex.

C)  The distance between (5, 4) and (7, 8) is:

distance = √( (5 - 7)^2 + (4 - 8)^2) = √( 2^2 + 4^2) = √20

Point (7, 8) can not be a vertex.

D)  The distance between (5, 4) and (2, 6) is:

distance = √( (5 - 2)^2 + (4 - 6)^2) = √( 3^2 + 2^2) = √13

Point (2, 6) can not be a vertex.

E) The distance between (5, 4) and (2, 1) is:

distance = √( (5 - 2)^2 + (4 - 1)^2) = √( 3^2 + 3^2) = √18 = √(2*9) = √2*√9 = √2*3

Then point (2, 1) can be a vertex.

Answer:

Round to one decimal place: x=78.4ft

Step-by-step explanation:

I searched it up : )

Answer:

A. She will have $2 left over

Step-by-step explanation:

I know this because 3 yards of fabric cost $18 dollars so there would be $2 left

The expected value for the number of siblings of a randomly chosen student is 1.11.

"In a probability distribution, the weighted average of possible values of a random variable, with weights given by their respective theoretical probabilities, is known as the expected value".

For the given situation,

The table shows the probability distribution of siblings of students in a high school with 1500 students.

For number of siblings = 0, Probability = 0.18.

For number of siblings = 1, Probability = 0.65.

For number of siblings = 2, Probability = 0.09.

For number of siblings = 3, Probability = 0.05.

For number of siblings = 4, Probability = 0.02.

For number of siblings = 5, Probability = 0.01.

The formula for expected value mean, E(x) = ΣxP(x)

[tex]E(x)=(0)(0.18)+(1)(0.65)+(2)(0.09)+(3)(0.05)+(4)(0.02)+(5)(0.01)[/tex]

⇒ [tex]E(x)=1.11[/tex]

Hence we can conclude that the expected value for the number of siblings of a randomly chosen student is 1.11.

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Answer:

Box 1 = -2 and Box 2=+1.......

Answer:

-2.5 if you have to write as a decimal and not a fraction.

Answer:

Gretchen charges $12 dollars per hour

Step-by-step explanation:

$18/1.5=$12

Answer:

P(A and B) = 0.44

Step-by-step explanation:

Venn probabilities:

Suppose that we have two events, A and B. The probability of A and B is:

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

In which [tex]P(A \cup B)[/tex] is P(A or B).

In this question:

[tex]P(A) = 0.53, P(B) = 0.39, P(A \cup B) = 0.48[/tex]

Then

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.53 + 0.39 - 0.48 = 0.44[/tex]

So

P(A and B) = 0.44

Step-by-step explanation:

This assembly required more than 40 missions. A partnership between European countries (represented by ESA), the United States (NASA), Japan (JAXA), Canada (CSA) and Russia (Roscosmos), the International Space Station is the world's largest international cooperative programme in science and technology.

Answer:

the answer is option D csa nasa esa and roscosmos

9514 1404 393

Answer:

  C.  (-1, 2) and (4, 7)

Step-by-step explanation:

It may be simplest just to try the answer choices.

We notice that y = x+3 is not satisfied by the points in choices A or D, so those can be eliminated.

__

The second equation can be written in vertex form as ...

  y = (x -1)^2 -2

This equation is not satisfied by the points of choice B.

  Using (-1, 4) (from choice B), we get 4 = (-1-1)^2 -2 = 4-2 = 2 . . . FALSE.

However it is a good match for the points of choice C.

  Using (-1, 2) (from choice C), we get 2 = (-1-1)^2 -2 = 4 -2 = 2 . . . True

The appropriate choice is ...

  (-1, 2) and (4, 7)

Answer:

Actually, all of them!

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

area of a trapezoidal base  of each prism with heights  6 and 8 units are 4 square units and 3 square units respectively

Step-by-step explanation:

Let us first be aware of formula of volume for any regular geometrical figure.

Fundamental formula for  volume for any regular geometrical figure is.

volume = area of cross section of object*  height of object (A)

In the problem stated area of cross section of object will be  area of a trapezoidal base.

Given in the question is

Volume of both the trapezoidal prisms = 24 cubic units

*************************************************************************************

For prism with height 6 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 6 * area of a trapezoidal base

=> area of a trapezoidal base = 24/6 = 4 square units

*************************************************************************************

For prism with height 8 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 8 * area of a trapezoidal base

=> area of a trapezoidal base = 24/8 = 3 square units

*************************************************************************************

Therefore area of a trapezoidal base  of each prism with heights  6 and 8 units are 4 square units and 3 square units respectively.

Answer:

42.5 units²

Step-by-step explanation:

Total height of rectangle = 3.5 + 2 = 5.5 units

Total area (without triangles removed) = 5.5 x 9.0 = 49.5 units²

The measurements and area of the triangles removed are equal to those on the diagram, so calculate the area of the triangles and subtract them from the total area.

Left: (0.5)(2)(2) = 2 units²

Right: (0.5)(5)(2) = 5 units²

Area: 49.5 - 2 - 5 = 42.5 units²

Answer:

the mean is the most appropriate 2.75 approximately 3

Step-by-step explanation:

to find the mean sum all observation and divide by the number of observations.

that is

mean = (2+14+1+2+0+1+0+2)/8

= 22/8

= 2.75

= 3

Answer:

the second angle

sorry if wrong

Step-by-step explanation:

The series of numbers is adding 5 and then subtracting 2

20+5=25

25-2=23

23+5=28

28-2=26

and so on. Do you understand?

Answer:

189 components must be sampled.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

Assume that component lifetimes are normally distributed with population standard deviation of 16 hours.

This means that [tex]\sigma = 16[/tex]

How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours?

n components must be sampled.

n is found when M = 3. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]3 = 2.575\frac{16}{\sqrt{n}}[/tex]

[tex]3\sqrt{n} = 2.575*16[/tex]

[tex]\sqrt{n} = \frac{2.575*16}{3}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575*16}{3})^2[/tex]

[tex]n = 188.6[/tex]

Rounding up:

189 components must be sampled.

Answer:

44

Step-by-step explanation:

axb=56

56-c=44

9514 1404 393

Answer:

  A)  3 1/4

Step-by-step explanation:

Your calculator can help with this.

__

  3/4 + ((1/3)/(1/6)) -(-1/2)

  = 3/4 + ((2/6)/(1/6)) + 2/4

  = 5/4 + 2/1

  = 3 1/4

Q) 3/4 + {(1/3) ÷ (1/6)} - ( - 1/2) = ?

→ 3/4 + {(1/3) ÷ (1/6)} - ( - 1/2)

→ 3/4 + {(1/3) × (6/1)} - ( - 1/2)

→ 3/4 + 6/3 - ( - 1/2)

→ {(3/4) + (6/3)} + 1/2

→ 11/4 + 1/2

→ (11 + 2)/4 = 13/4

→ 3 1/4

Hence, option (A) is the answer.

Answer:

The answer should be 84

Step-by-step explanation:

12 - 4 = 8

8 + 4 = 12

8 - 4 = 4

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Answer:

0 chances.

2.3 seconds.

Step-by-step explanation:

25=-16t^2+35t+5

0=-16t^2+35t+5

Answer:

If a coin is tossed 12 times, the maximum probability of getting heads is 12. But, 12 coin tosses leads to 212 , i.e. 4096 number of possible sequences of heads & tails.

Step-by-step explanation:

Answer:

8/13

Step-by-step explanation:

Pam flips a coin 12 times. The coin lands on heads 8 times. What is the theoretical

probability of landing on heads on the next flip?

well it would be 8 and 13

Answer:

time taken 638=jrvb574<^€™

Answer:

[tex]f + e + d = 360^o[/tex]

Step-by-step explanation:

The question is incomplete, as what is required is not stated and the triangle is not given.

So, I will solve generally.

The proof is as follows (see attachment for triangle)

From the attachment, we have:

[tex]a + f = 180[/tex]

[tex]b + e = 180[/tex]

[tex]c + d = 180[/tex]

Make f, e and d the subject

[tex]f = 180 - a[/tex]

[tex]e = 180 - b[/tex]

[tex]d = 180 - c[/tex]

Add up the equations

[tex]f + e + d = 180 -a + 180 - b + 180- c[/tex]

Collect like terms

[tex]f + e + d = 180 + 180+ 180-a- b - c[/tex]

[tex]f + e + d = 540-a- b - c[/tex]

We have:

[tex]f + e + d = 540-(a+ b + c)[/tex]

[tex]a + b + c \to 180[/tex] --- angles in a triangle

So, we have:

[tex]f + e + d = 540-180[/tex]

[tex]f + e + d = 360^o[/tex] --- proved