What is the equation of the directrix of the parabola?
Y=3
Y=-3
X=3
X=-3

Answer:

I believe it is 90

Step-by-step explanation:

I'm not so sure but when finding the area of a shape you times all those lengths together.

Answer: There is NO answer because there is some missing information!

Step-by-step explanation:

Answer:

i got Profit = $125,129,007.1

Step-by-step explanation:

Answer:

answer is 18 54 an 72 is 18

Answer:

[tex]\text{A. }x=3[/tex]

Step-by-step explanation:

Recall the exponent property [tex]a^{b^c}=a^{(b\cdot c)}[/tex]. Therefore, we can square both sides of the equation to get rid of the fraction in the exponent:

[tex]((8x-8)^{\frac{3}{2}})^2=64^2,\\(8x-8)^{\frac{3}{2}\cdot2}=64^2,\\(8x-8)^3=4096[/tex]

Take the cube root of both sides:

[tex]8x-8=16[/tex]

Add 8 to both sides:

[tex]8x=24[/tex]

Divide both sides by 8 to isolate [tex]x[/tex]:

[tex]x=\frac{24}{8}=\boxed{3}[/tex]

Answer:

only 20 students would

Step-by-step explanation:

the probability would be very since it is 20 out of 115. i hope this helped

Answer:

f(-5) = -195

Step-by-step explanation:

Given that,

[tex]f(x)=x^3-2x^2+3x-5[/tex] ....(1)

and

[tex]g(x)=x^2+x-1[/tex]

We need to find the value of f(-5).

Put x = -5 in equation (1).

[tex]f(-5)=(-5)^3-2(-5)^2+3(-5)-5\\\\=-195[/tex]

So, the value of f(-5) is equal to (-195).

Problem 1

It's not clear if the person deposits at the start of the quarter, or at the end of the quarter. I'm going to assume they deposit at the end of the quarter. This means we go with an ordinary future value of annuity.

The formula we use is

F = P*( (1+i)^n - 1)/i

where,

In this case,

So,

F = P*( (1+i)^n - 1)/i

300,000 = P*( (1+0.02)^100 - 1)/0.02

300,000 = P*(312.232305912618)

P = (300,000)/(312.232305912618)

P = 960.823061288088

P = 960.82

You must deposit $960.82 per quarter

If you deposit that amount of money per quarter, for 100 quarters, then you deposited a total of 960.82*100 = 96,082 dollars in total.

The amount of interest is 300,000 - 96,082 = 203,918 dollars

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

Problem 2

We use the same formula from problem 1. This time we know the periodic payment ($250 per month) and we want to find the value of F

More specifically, we have this given info:

So,

F = P*( (1+i)^n - 1)/i

F = 250*( (1+0.006)^360 - 1)/0.006

F = 317,306.360545277

F = 317,306.36

If you deposit $250 per month, for 360 months, then you'll have $317,306.36 in the account.

This includes interest. The total amount deposited, without interest involved, is 250*360 = 90,000 dollars.

Therefore, the amount of interest earned is 317,306.36 - 90,000 = 227,306.36 dollars.

Answer: Choice B

Game A is not fair, and game B is fair.

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

We'll start with game A.

The sides of the dice are {1,2,3,4,5,6}

There are 6*6 = 36 ways to roll two dice.

If we roll two odd numbers, say 3 and 5, the product is odd because 3*5 = 15.

If any of the numbers are even, then the product is even. Eg: 4*5 = 20 or 2*6 = 12.

To be an even number, 2 must be a factor.

So you can probably see that it's more likely to get an even number product considering that in order to get an odd product, both values must be odd (which narrows the selection pool). We can say that game A is not fair. It favors player 1 more. If you're sure about this, then I recommend looking at a multiplication table but only focus on the first 6 rows and 6 columns. Ignore the row and column that has 0s in it.

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

Now onto game B

The rules are nearly the same, except now instead of multiplying the dice values, we add them up.

We still have 6*6 = 36 outcomes.

Here are some handy rules we'll take into account

If the first dice rolls to '1', then there are 3 ways to get an even number (rolling either 1,3,or 5 on the second dice) and there are 3 ways to get an odd number (rolling either 2,4,or 6 on the second dice). We can see that there are the same number of ways to get an even sum or an odd sum. Apply this in general to any result that the first dice shows, and this basically leads to the conclusion that half of the 36 sums are even, and the other half are odd. We have a fair game now. Refer to a sum of dice chart if you need more convincing.

Answer:

Game A is not fair, and game B is fair.

Step-by-step explanation:

test on iready

Answer: 320ft^3

Step-by-step explanation:

Assuming the pyramid is just a normal rectangular pyramid and isn't made of stairs...

10x8x12/3 = 320 ft^3

Answer:

The first equation, sorry can’t explain.

Answer:

g(x)=3f(2x)

I think

Answer and Explanation:

A confidence interval determines the probability that a range of values(e.g-given a large data set )has the true parameter. Example, to find mean of height of 30+ men, our confidence interval will say that there is 96% confidence that the mean height of 30+ men is between 5ft and 6ft. While confidence intervals, narrow or broad with high or low significance levels may not be akin to accuracy, it will only help to determine the precision or otherwise of our estimate. For example, if confidence interval is narrow as in second option and confidence level is lower, it only narrows down our options to ascertain the true mean or parameter we are investigating and doesn't exactly affect accuracy since we are still not 100% confident our true mean lies in this interval.

Answer:

52

Step-by-step explanation:

answer is in photo above

Answer:

52

Step-by-step explanation:

step-by-step explanation is a c and b is 52

Step-by-step explanation:

of what ? there is nothing here to work with.

be a little bit more careful to at least understand the meaning of the problem, Ame what is given to you written with to solve the problem. because we here also need that information. we would need to read in a Crystal ball what your teacher wants from you, if you don't give us that information.

and I am good but not that good ...

Answer:

Y=x

Step-by-step explanation:

The y and x values are the same

Answer:

y = x

Step-by-step explanation:

a 45° line with the origin passing through the origin has the equation y=x.

Have a nice day.

Answer:  30 boys

Step-by-step explanation:

Boys:Girls

3       : 1

Let no. of girls =x

⇒ no. of boys =3x.

⇒ no. of students in class =4x

                                            =   4/3×3x

                                            =  4 /3  ×no. of boys

  40=4/3* no.of boys

40* (3/4)=no.of boys

30=no of boys

Answer:

Step-by-step explanation:

X * (1.065) = $633.68

X = $633.68/1.065

X= $595.00

The price of the handbag before the sales tax was added is $595

A sales tax is a tax paid to a governing body for the sales of certain goods and services. Usually laws allow the seller to collect funds for the tax from the consumer at the point of purchase.

Given that, Christine paid $633.68 for a handbag the sales tax in her state is 6.5%

Let the cost of the handbag before sales tax be x,

Therefore,

x + 6.5% of x = 633.68

x + 6.5 / 100 × x = 633.68

x(1 + 6.5 / 100) = 633.68

x(106.5 / 100) = 633.68

x = 633.68 × 100 / 106.5

x = 595

Hence, the price of the handbag before the sales tax was added is $595

Learn more about sales tax, click;

https://brainly.com/question/29751934

#SPJ2

9514 1404 393

Answer:

  B.  -∞

Step-by-step explanation:

There is a vertical asymptote at x=2. Left of that line, the denominator is negative. As x approaches 2 from the left, the function approaches negative infinity.

Given:

The piecewise function is:

[tex]f(x)=\begin{cases}9x & \text{ if } x<-1 \\ x-4 & \text{ if } x\geq -1 \end{cases}[/tex]

To find:

The values of [tex]f(-3),f(0), f(-1)[/tex].

Solution:

In the given piecewise function,

[tex]f(x)=9x[/tex] for [tex]x<-1[/tex] and [tex]f(x)=x-4[/tex] for [tex]x\geq -1[/tex].

Putting [tex]x=-3[/tex] in [tex]f(x)=9x[/tex], we get

[tex]f(-3)=9(-3)[/tex]

[tex]f(-3)=27[/tex]

Putting [tex]x=0[/tex] in [tex]f(x)=x-4[/tex], we get

[tex]f(0)=0-4[/tex]

[tex]f(0)=-4[/tex]

Putting [tex]x=-1[/tex] in [tex]f(x)=x-4[/tex], we get

[tex]f(-1)=-1-4[/tex]

[tex]f(-1)=-5[/tex]

The required values are [tex]f(-3)=27,f(0)=-4,f(-1)=-5[/tex].

Therefore, the correct option is D.

Answer:

A = 50.2 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2  where r is the radius

A = (3.14) * 4^2

A =50.24

To 1 decimal place

A = 50.2 cm^2

Answer:

50.3 cm^2 to 1 dec. place.

Step-by-step explanation:

Area = pi r^2

= pi * 4^2

= 16 * pi

= 50.265

Answer:

Following are the solution to the given points:

Step-by-step explanation:

Both A and B are exclusive to each other because of P(A and B) = 0.

Therefore, Let A be the major in mathematics and B be the major in philosophy.

Each student is required to only have one major.

No student does have two significant students.

Therefore, the likelihood of both the major pupils being zero.

This is P(A and B) = zero

Therefore, The events are exclusive to each other.

Answer:

0.393701 cm = 1 in

Step-by-step explanation:

We want to find the number of centimeters in 1 inch.

First, the two conversion rates we need to use:

1m = 100 cm

1m = 39.3701 in

From these two equations, we can conclude that:

100cm = 1m = 39.3701 in

100cm = 39.3701 in

Because we want to find the total number of centimeters in 1 inch, we need to divide both sides by 39.3701

We will get:

(100cm)/39.3701 = (39.3701 in)/39.3701

0.393701 cm = 1 in

This equation gives us the number of centimeters in one inch.

Answer:

The measures of the angles are 85 and 95 degrees each.

Step-by-step explanation:

Two angles are supplementary when they add up to 180 degrees.

Therefore, set up an equation and solve for the variable x in the first place.

(8x-3)+(7x+18)=180

8x-3+7x+18=180

8x+7x-3+18=180

15x-3+18=180

15x+15=180

15x=165

x=165/15

x=11

Angle 8x-3=8(11)-3=88-3=85.

Angle 7x+18=7(11)+18=77+18=95.

Answer:

85⁰ and 95⁰

Step-by-step explanation:

Supplementary angle add up to 180⁰

8x-3+7x+18=180

8x+7x-3+18=180

15x+15=180

15x=180-15

15x=165

15x/15=165/15

x=165/15

x=11⁰

measure of first angle=8(11⁰)-3

=88⁰-3

=85⁰

measure of second angle=7(11⁰)+18

=77⁰+18

=95⁰

Answer:

52/63

Step-by-step explanation:

Given the expression

4/7 * 13/9

Taking the product

= (4*13)/(7*9)

= 52/63

Hence the product of both fractions is 52/63

Answer:

139 oz.

Step-by-step explanation:

If 1 pound equals 16 ounces, multiply 8 by 16 and you will get 128, then add the original 11 ounces to get 139.

Answer:

They should warranty the product for 7 years if they want no more than 6.7% of the waffle irons to fail within that time.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average waffle iron lasts for 12 years and one standard deviation is 8 months.

Measuring the time in months, we have that [tex]\mu = 12*8 = 96[/tex] and [tex]\sigma = 8[/tex]

How long should they warranty the product for if they want no more than 6.7% of the waffle irons to fail within that time?

This is X when Z has a p-value of 0.067, so X when Z = -1.5. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.5 = \frac{X - 96}{8}[/tex]

[tex]X - 96 = -1.5*8[/tex]

[tex]X = 84[/tex]

84 months = 7 years.

They should warranty the product for 7 years if they want no more than 6.7% of the waffle irons to fail within that time.

Answer:

10 units

Step-by-step explanation:

Given that,

The area is modeled by the equation as follows :

[tex]A=-l^2-10l+300[/tex]

Where

l is the linear dimensions of the frame.

Put A = 100

So,

[tex]-l^2-10l+300=100\\\\-l^2-10l+200=0\\\\l=10,-20[/tex]

So, the linear dimension of the frame is equal to 10 units.

Answer:

40*40=1600

PLS MARK BRAINLIEST

Answer:

A statement that shows current balance of an account and all transactions that occurred on that account since the last statement.

Transactions such as deposits, withdrawals, checks written, debt card uses...

There are other examples of bank statements for things like home loans, business loans, and investments.