Find the volume of the figure.
8 cm
4 cm
10 cm
14 cm

The x-intercepts are the points on the plot of a function f(x) where the graph crosses the x-axis. In other words, they're the values of x that make f(x) = 0.

In this case, the x-intercepts are the two roots of the parabola,

(x - 4) (x - 5) = 0 … … … (this is what the hint is referring to)

==>   x - 4 = 0   or   x - 5 = 0

==>   x = 4   or   x = 5

The intercepts themselves are points (x, f(x)), so you can report them as (4, 0) and (5, 0).

Answer:

4

3

0

Step-by-step explanation:

f(x) = y = -1/2 × sqrt(x+3)

2y = -sqrt(x+3)

4y² = x + 3

x = 4y² - 3

now renaming this, so that the normal symbols and names are used for this function definition, so that the input variable is called "x" :

f-1(x) = 4x² - 3

basically, just by itself, this function would be defined for all possible real values of x.

but because it is the inverse of the original function, which generates only values of y<=0, then for the inverse function that same range applies for its input variable x

x<=0

Answer:

2

Step-by-step explanation:

mean = sum of data / no of data

=2+2+2+2+2/5

=10/5

=2

Answer:

42 degrees

Step-by-step explanation:

We already have the two angles for the triangle, we just need the third. For triangles, the can only add up to 180 degrees. 101+37=138 degrees, now we subtract 138 from 180.

180-138=42.

Answer:I’m pretty sure ( not 100% thou ) the awnser would be A) 4

Answer:

[-3, -1]

Step-by-step explanation:

The minimum y value is -3.

The maximum y value is -1.

-3 and -1 are included, so we use square brackets.

Answer: [-3, -1]

Answer:

24,48,72

Step-by-step explanation:

multiples of 6- 6,12,18,24,30,36,42,48,54,60,66,72

multiples of 8- 8,16,24,32,40,48,56,64,74,80

Answer:

Nathan's because his sample was more random  

Step-by-step explanation:

Nathan's survey could be described as a Systematic random sampling technique whereby every 5th observation taken as a sample from the population. With these technique we have a more random observation than with.

Answer:

C

Step-by-step explanation:

Answer:

Chips: 1.25 and Sandwiches: 6.5

Step-by-step explanation:

3s+2c=22

2s+c=14.25

The cost of bag and chips should be 1.25 and 6.5.

3s+2c=22

2s+c=14.25

Here we need to multiply by 2 in equation 2

3s + 2c = 22

2s + 2c = 28.25

s = 6.5

Now

c should be

2(6.5) + c = 14.25

13 +  c = 14.25

c = 1.25

Learn more: brainly.com/question/16911495

Answer:

si a forse that can t negativo AND f so ITS 0;3

Answer:

36 possible class schedules

Step-by-step explanation:

1st - 4 ways

2nd - 3 ways

3rd - 3 ways

4 x 3 x 3 = 36 possible class schedules

The number of possible class schedules is 36.

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.

Given:

A student selecting 3 classes for Winter quarter.

There are 4 drawing and design courses, 3 general education courses and 3 other majors that can fit in their schedule,

it said student is only taking one course from each category.

The possible class schedules,

= 4 x 3 x 3

= 36 possible ways.

Therefore, there are 36 possible ways.

To learn more about the permutation;

https://brainly.com/question/1216161

#SPJ2

Answer -0.99 and -4/5

Step-by-step explanation:

-4/5 is equal to -0.8

Both -0.8 and 0.99 are to the left of -0.65, which is why they're less than 0.65.

1/6 = -0.16

Since -0.16 is to the right of -0.65 it is more than, not less

My reason:

As you go rightward, you increase the numbers by 1, which is why the numbers closer to the right are bigger than the numbers closer to the left.

(sorry for answering when it's already been two weeks lol. I felt the urge to answer-)

Answer:

triangle KLM

Step-by-step explanation:

x-1 meaning subtractikn so u subtract l from its original x cord making it move left 1

y-8 same thing but for the y making it move down 8 spaces

Answer:  [tex]_{13} P _{13}[/tex]

Another acceptable answer is 13! where the exclamation mark is needed.

The numeric form is 6,227,020,800 which is a little over 6 billion.

==============================================================

Explanation:

Let's lump those four songs together to form a so called "mega song". So we treat those four items as one single item. This is ensure that those songs are played in the order we want. The other songs aren't treated this way.

We start with 16 songs and drop to 16-4 = 12 songs when taking out those four named songs. Then we add 1 to get 12+1 = 13 since we're adding in that "mega song" block.

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

So to recap so far, we've gone from 16 songs to 13 songs. The goal is to find out how many arrangements of 13 songs are possible. Order matters.

We'll use the nPr permutation function

[tex]_{n} P _{r} = \frac{n!}{(n-r)!}\\\\[/tex]

where in this case n = 13 and r = 13. Your teacher doesn't want you to evaluate this function. You simply need to state the symbolic form. So that's why we go from [tex]_{n} P _{r}[/tex] to [tex]_{13} P _{13}[/tex]

If you wanted to answer this in terms of factorial notation, then you could say this

[tex]_{n} P _{r} = \frac{n!}{(n-r)!}\\\\_{13} P _{13} = \frac{13!}{(13-13)!}\\\\_{13} P _{13} = \frac{13!}{(0)!}\\\\_{13} P _{13} = \frac{13!}{1}\\\\_{13} P _{13} = 13!\\\\[/tex]

So we can see that the notations [tex]_{13} P _{13}[/tex] and [tex]13![/tex] mean the exact same thing.

If you wanted to know the actual number of permutations, then,

13! = 13*12*11*10*9*8*7*6*5*4*3*2*1 = 6,227,020,800

which is a little over 6 billion permutations.

Hello!

log₃(x) + log₃(x - 6) = log₃(7) <=>

<=> log₃(x * (x - 6)) = log₃(7) <=>

<=> log₃(x² - 6x) = log₃(7) <=>

<=> x² - 6x = 7 <=>

<=> x² - 6x - 7 = 0 <=>

<=> x² + x - 7x - 7 = 0 <=>

<=> x * (x + 1) - 7 * (x + 1) = 0 <=>

<=> (x + 1) * (x - 7) = 0 <=>

<=> x + 1 = 0 and x - 7 = 0 <=>

<=> x = -1 and x = 7, x ∈ { 6; +∞ } <=>

<=> x = 7

Good luck! :)

Answer:

a. Yield

c. Pre-Order picked up

e. Pre-Orders placed.

Step-by-step explanation:

Uncertain random variables are those over which the farmer has no control. These variables are uncontrollable and there can be no prediction for it. The farmer has no control over the yield produced. He can choose what type of fruits to grow and input method but he has no control over output generated.

Answer:

It's on the next day at 11.45am

Step-by-step explanation:

I hope it helps

Based on the time the plane left, the length of the flight, and the time difference, the plane will arrive at 11 : 45 am the next day.

Because the time is 2 hours ahead, adjust the departure time by 2 hours:

= 22:00 + 2

= 00:00

With the plane leaving by 12 am, the time of arrival is:

= 00:00 + 11 hours 45 mins

= 11 : 45 am

In conclusion, the plane will arrive at 11:45 am.

Find out more at https://brainly.com/question/25150454.

Answer:

y-(-20)=1(x-(-10))

Step-by-step explanation:

If you're really in college you should know this, but here's the explanation:

m= -9-(-20)

      1-(-10)

  = 11

     11

m = 1

The equation is y-y^1=m(x-x^1)

Replace the y^1, m, and x^1 from the first point

You get y-(-20)=1(x-(-10))

Or simplify that into y+20=x+10

You can also simplify it more but I don't think you need that for that question

The answer is kindly 21 (100% correct)

Answer:

25 boxes could be stacked safely on the pallet.

Step-by-step explanation:

To determine how many boxes could you stack safely on a pallet if the pallet is 5 feet deep, five feet across, every box is 1 x 1 and the maximum safe stacking height is 5 boxes, the following calculation should be performed:

Pallet = 5 x 5 = 25 square feet

Box = 1 x 1 = 1 square foot

25/1 = 25

Therefore, 25 boxes could be stacked safely on the pallet.

Answer:

227.5

Step-by-step explanation:

basically for a triangle prism you would do is

(1÷2) since it's a triangle and multiple all 3 angels

ex: 1/2 × 5 × 7 × 13

Answer:

227.5 cubic yards

Step-by-step explanation:

Formula for area of triangular prism is:

1/2 • length x height x width

Use formula with the given dimensions:

1/2 • 7 • 5 • 13 = 227.5

Answer:

a simple random sample (SRS).

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Systematic sampling.

2. Convenience sampling.

3. Stratified sampling.

4. Cluster sampling.

5. Random sampling.

Random sampling also referred to as simple random sample (SRS) involves randomly selecting a subset of a larger population.

In this scenario, an elected government official randomly selected five schools at random from the 20 schools in her area and then interviews each of the teachers in those five schools, in order to get their opinions about voting. Thus, the government official is using a simple random sample (SRS).

Answer:

75

Step-by-step explanation:

She is in the negatives right now so add 40 to get Celicia points equal to 0. Then add an extra 35 points (which is what she ended with). Overall, she gained 75 points to end with 35.

Answer:

[tex]H_o :[/tex] Satisfaction and Gender are independent of one another

[tex]H_a :[/tex] Satisfaction and Gender are dependent of one another

Step-by-step explanation:

Given

Parameters: Meal satisfaction and Gender

Test: If both parameters are dependent

Required

The appropriate hypotheses

To do this, we set the null hypothesis to independence of both parameters

i.e.

[tex]H_o :[/tex] Satisfaction and Gender are independent of one another

The alternate hypothesis will be the opposite, i.e. dependence of both parameters

i.e.

[tex]H_a :[/tex] Satisfaction and Gender are dependent of one another

Given:

The sum of the first three terms = 12

The sum of the first six terms = (−84).

To find:

The third term of a geometric progression.

Solution:

The sum of first n term of a geometric progression is:

[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]

Where, a is the first term and r is the common ratio.

The sum of the first three terms is equal to 12, and the sum of the first six terms is equal to (−84).

[tex]\dfrac{a(r^3-1)}{r-1}=12[/tex]               ...(i)

[tex]\dfrac{a(r^6-1)}{r-1}=-84[/tex]               ...(ii)

Divide (ii) by (i), we get

[tex]\dfrac{r^6-1}{r^3-1}=\dfrac{-84}{12}[/tex]

[tex]\dfrac{(r^3-1)(r^3+1)}{r^3-1}=-7[/tex]

[tex]r^3+1=-7[/tex]

[tex]r^3=-7-1[/tex]

[tex]r^3=-8[/tex]

Taking cube root on both sides, we get

[tex]r=-2[/tex]

Putting [tex]r=-2[/tex] in (i), we get

[tex]\dfrac{a((-2)^3-1)}{(-2)-1}=12[/tex]

[tex]\dfrac{a(-8-1)}{-3}=12[/tex]

[tex]\dfrac{-9a}{-3}=12[/tex]

[tex]3a=12[/tex]

Divide both sides by 3.

[tex]a=4[/tex]

The nth term of a geometric progression is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

Putting [tex]n=3,a=4,r=-2[/tex] in the above formula, we get

[tex]a_3=4(-2)^{3-1}[/tex]

[tex]a_3=4(-2)^{2}[/tex]

[tex]a_3=4(4)[/tex]

[tex]a_3=16[/tex]

Therefore, the third term of the geometric progression is 16.

Answer:

0.6836

Step-by-step explanation:

(weight - mean weight) = 48

Variance, s² = 204,304

Sample size, n = 89

We need to obtain the Zscore :

Zscore = (X - mean) / standard Error

Zscore = (weight - mean weight ) / (s/√n)

s = √204304 = 452

The difference from the meanncoukdnbe either to the right or left :

Zscore = - 48 / (452/√89) OR 48 / (452/√89)

Zscore = - 48 / 47.911904 OR - 48 / 47.911904

Zscore = - 1.002 or 1.002

P(Z < - 1.002) = 0.1582 (using Z table)

P(Z < 1.002) = 0.8418

P(Z < 1.002) - P(Z < - 1.002)

0.8418 - 0.1582

= 0.6836

Explanation:

The result of any absolute value function is never negative. It represents distance on a number line.

The distance from -1.2 to 0 on the number line is exactly 1.2 units.

So that's why |-1.2| = 1.2

In short, we erase the negative sign.

Answer:

Step-by-step explanation:

This is a related rates problem from calculus using implicit differentiation. The main equation is going to be Pythagorean's Theorem and then the derivative of that. Pythagorean's Theorem is

[tex]x^2+y^2=c^2[/tex] where c is the hypotenuse and is a constant. Therefore, the derivative of this with respect to time, and using implicit differentiation is

[tex]2x\frac{dx}{dt}+2y\frac{dy}{dt}=0[/tex] and dividing everything by 2 to simplify a bit:

[tex]x\frac{dx}{dt}+y\frac{dy}{dt}=0[/tex]. Upon analyzing that equation, it looks like we need values for x, y, [tex]\frac{dx}{dt}[/tex], and [tex]\frac{dy}{dt}[/tex]. And here's what we were given:

[tex]\theta=45[/tex] and [tex]\frac{dx}{dt}=.5[/tex]  In the greater realm of things, that's nothing at all.

BUT we can use the right triangle and the angle we were given to find both x and y. The problem we are looking to solve is to

Find [tex]\frac{dy}{dt}[/tex] at the instant that [tex]\frac{dx}{dt}[/tex] = .5.

Solving for x and y:

[tex]tan45=\frac{x}{6}[/tex] and

6tan45 = x ( and since this is a 45-45-90 triangle, y = x):

[tex]6(\frac{\sqrt{2} }{2})=x=y[/tex] so

[tex]x=y=3\sqrt{2}[/tex] and now we can fill in our derivative. Remember the derivative was found to be

[tex]x\frac{dx}{dt}+y\frac{dy}{dt}=0[/tex] so

[tex]3\sqrt{2}(\frac{1}{2})+3\sqrt{2}\frac{dy}{dt}=0[/tex] and

[tex]\frac{3\sqrt{2} }{2}+3\sqrt{2} \frac{dy}{dt}=0[/tex] and

[tex]3\sqrt{2}\frac{dy}{dt}=-\frac{3\sqrt{2} }{2}[/tex] and multiplying by the reciprocal of the left gives us:

[tex]\frac{dy}{dt}=-\frac{3\sqrt{2} }{2}(\frac{1}{3\sqrt{2} })[/tex] so

[tex]\frac{dy}{dt}=-\frac{1}{2}\frac{m}{s}[/tex]

Answer:

It would be 6300000. I can't write this in standard form.

Step-by-step explanation:

Answer:

6.3 x 10^6

Step-by-step explanation: