Given the points (-7, -1) and (8, 5) find the slope.

9514 1404 393

Answer:

Step-by-step explanation:

Each x-intercept at x=a corresponds to a polynomial factor of (x -a).

__

The top graph has x-intercepts of -3, 0, +2, so the factors of this cubic are ...

  y = (x +3)(x -0)(x -2)

  y = x(x +3)(x -2) . . . . . . . matches upper right tile

__

The bottom graph has x-intercepts of -2, -1, 1, 2, so the factors of this quartic are ...

  y = (x +2)(x +1)(x -1)(x -2) = (x² -4)(x² -1)

  y = x⁴ -5x² +4 . . . . . . . matches lower left tile

The null hypothesis is [tex]\mu = 39.09[/tex]  

The symbol [tex]\mu[/tex] is the Greek letter mu

The alternate hypothesis is [tex]\mu \ne 39.09[/tex] telling us we have a two-tailed test here. The "not equal" is directly tied to the keyword "different" given in the instructions. In other words, mu being different from 39.09 directly leads to [tex]\mu \ne 39.09[/tex]

So either mu is 39.09 or it's not 39.09

You can use H0 and H1 to represent the null and alternate hypotheses respectively.  

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

Summary:

The two hypotheses are

H0: [tex]\mu = 39.09[/tex]

H1: [tex]\mu \ne 39.09[/tex]

This is a two tailed test.

Answer:

Ok so these triangle are the same with equivalent angles

so we can add up the angles 80+26=106

now we subtract from 180

180-106=74

so the measure of angle b is 74

Hope This Helps!!!

Answer:  the 12th graders get 150 bottles

how did i get 150?:

we know the total amount is 1,000 bottles of water

since 9th graders got 1/4 of the bottles. 1/4 of 1,000 is 250

10th graders: 1/5 of 1,000 is 200

11th graders: 2/5 of 1,000 is 400

now we ADD all of the sums together: 250+200+400 (doesnt matter which order but do go in order to not confuse yourself) the total should be 850.

FINALLY we subtract 1,000 - 850 = 150 bottles that are left for the 12th graders.  

Answer:

The probability of randomly selecting one employee who earned less than or equal to $45,000=0.00621

Step-by-step explanation:

We are given that

Mean,[tex]\mu=50000[/tex]

Standard deviation,[tex]\sigma=2000[/tex]

We have to find the probability of randomly selecting one employee who earned less than or equal to $45,000.

[tex]P(x\leq 45000)=P(\frac{x-\mu}{\sigma}\leq \frac{45000-50000}{2000})[/tex]

[tex]P(x\leq 45000)=P(Z\leq-\frac{5000}{2000})[/tex]

[tex]P(x\leq 45000)=P(Z\leq -2.5)[/tex]

[tex]P(x\leq 45000)=0.00621[/tex]

Hence,  the probability of randomly selecting one employee who earned less than or equal to $45,000=0.00621

Answer:

Assuming you want better payment each week, any number of hours above 33.333 or 33 hours and 20 minutes per week

Step-by-step explanation:

There are several ways we could do this.  We could say we want to have Tim Hortons be the better employer on the first week, or after so many weeks by adjusting the hours.  I am going to assume we are saying we want it to be a better employer on the first week, so the profit will be the amount made every week plus the money made per hour times the number of hours.

Let's say number of hours is H

So Tim Hortons winds up as 200 + 5H for one week and  Mcdonalds will be 300 + 2H.

If you set the two expressions equal to each other you will find where they intersect, which means at that number of hours they will give the same amount of money while any amount before one of the companies will give more and after that many hours the other will.  Let's go ahead and solve.

200 + 5H = 300 + 2H

3H = 100

H = 100/3

So H is about 33.333.  let's check.

200 + 5(33.333) = 366.665 which rounds to 366.67 dollars

300 + 2(33.333) = 366.666 which also rounds to 366.67 dollars

So at 33.333 hours both give 366.67 dollars.  Let's look at a value below it, say 32.

200 + 5(32) = 360

300 + 2(32) = 364

So you can see here Tim Hortons  pays less.  Now we will try 34 as a value above 33.333

200 + 5(32) = 370

300 + 2(32) = 368

Here Mcdonalds pays less.  This was to show that values below 33.333 make Tim Hortonspay less and values above 33.333 make Mcdonalds pay less.  In other words any value above 33.333 hours will have Tim Hortons be the better employer.  And this is per week

I want to repeat, you can expand this to be multiple weeks and see which of the two becomes better in that epriod of time.  This was, I think, the simplest way to answer though.  

So the conditions where Tim Horton pays more isif you work more than 33.333 hours per week.  This will make them pay more every single week.  

Answer:

i dont knowwww dhehje ejhdjeke jsienje

Answer:

8cm and 9 cm​

Step-by-step explanation:

Sum of sides rule:

The sum of the two smallest sides of a triangle has to be greater than the third side.

5 cm and 8 cm

One side is 5, other 8, 5 + 8 = 13. The sum has to be greater than 13, so this is not possible.

6cm and 7 cm

6 + 7 = 13, same as above, not possible.

7cm and 2 cm

7 + 2 = 9 < 13, so not possible.

8cm and 9 cm​

8 + 9 = 17 > 13, so possible, and this is the answer.

Answer:

[tex]4^{\left(x-1\right)}=1[/tex]

[tex]\Rightarrow\left(x-1\right)\ln \left(4\right)=\ln \left(1\right)[/tex]

[tex]\hookrightarrow x=1[/tex]

❅❅❅❅❅❅❅❅❅❅

OAmalOHopeO

❅❅❅❅❅❅❅❅❅❅

9514 1404 393

Answer:

  10 minutes

Step-by-step explanation:

The current legal tender conversion rate is 50 kobo = 0.50 naira. Then the airtime balance is ...

  (300 NGN)/(0.50 NGN/s) × (1 min)/(60 s) = 300/(0.50×60) min = 10 min

Answer:

x = 16

Step-by-step explanation:

The product of the lengths theorem is a property that can be sued to describe the relationships of the sides between the tangents and secants in a circle. One of these products states the following;

The distance between the point of tangency and its intersection point with the exterior secant squared is equal to the product of the exterior secant times the interior secant.

This essentially means the following equation can be formed;

[tex](AB)^2=(DC)(CB)[/tex]

Substitute,

[tex]12^2=x*9[/tex]

Simplify,

[tex]144=9x[/tex]

Inverse operations,

[tex]\frac{144}{9}=x\\\\16=x[/tex]

Answer:

[tex]\boxed{\sf x=7}[/tex]

Step-by-step explanation:

By Targent-secant theorem...

[tex]\sf 9(x + 9) = {12}^{2} [/tex]

Use the distributive property to multiply 9 by x+9.

[tex]\sf 9x+81= {12}^{2} [/tex]

Now, let calculate 12 to the power of 2 and get 144.

[tex]\sf 9x+81=144[/tex]

Subtract 81 from both sides.

[tex]\sf 9x=63[/tex]

Divide both sides by 9.

[tex] \sf \cfrac{ 9x}{9} = \cfrac{63}{9} [/tex]

[tex]\sf x=7[/tex]

Answer:

x=2pi/3 +2pi n, 4pi/3 +2pi n for all integar of n.

Step-by-step explanation:

Answer:

[tex]EA = \frac{21 \times 15}{7} = 45 \\ { \tt{ \frac{21}{7} = \frac{x}{45} }} \\ x = 135[/tex]

Answer:

7% probability that the next 2 cards are hearts.

Step-by-step explanation:

Cards are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

10 cards, which means that [tex]N = 10[/tex]

3 are hearts, which means that [tex]k = 3[/tex]

Probability that the next 2 cards are hearts:

This is P(X = 2) when n = 2. So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,10,2,3) = \frac{C_{3,2}*C_{7,0}}{C_{10,2}} = 0.0667[/tex]

0.0667*100% = 6.67%

Rounded to the nearest whole number, 7% probability that the next 2 cards are hearts.

Answer:

C. 468 mm²

Step-by-step explanation:

Surface area of the composite solid = 2(LW + LH + WH)

Length (L) = 12 mm

Width (W) = 6 mm

Height (H) = 2 + 7 = 9 mm

Plug in the values into the formula

Surface area = 2(12*6 + 12*9 + 6*9)

Surface area = 2(72 + 108 + 54)

Surface area = 2(234)

= 468 mm²

Answer:

options aren't given but the correct answer will be [tex]\frac{27x^6y^9}{z^9}[/tex]

Step-by-step explanation:

The simplified form of (3x²y³/z³)³ is 27x⁶y⁹/z⁹.

To simplify the expression (3x²y³/z³)³, we apply the rules of exponents. When we raise a power to another power, we multiply the exponents.

First, let's apply the exponent of 3 to each term inside the parentheses:

(3x²y³/z³)³ = 3³ × (x²)³ × (y³)³ / (z³)³

Simplifying further:

= 27 × x⁶ × y⁹ / z⁹

Therefore, the simplified form of (3x²y³/z³)³ is 27x⁶y⁹/z⁹.

This means that each term inside the parentheses is raised to the power of 3, resulting in the expression 27x⁶y⁹/z⁹.

The final expression represents the cube of the original expression, where each term is cubed individually. The exponents are multiplied by 3 to reflect this operation.

In summary, the simplified form is 27x⁶y⁹/z⁹.

To learn more about the exponents;

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Answer:

y=-2

Step-by-step explanation:

y=-2*-7*+8y

y= 14+8y

-7y=14

y=-2

Answer:

Average of 65 boxes each day

Step-by-step explanation:

1950÷30=65

Answer:

x²+6x-4 is answer maybe

Hey there!

[tex]\large\textsf{FACTORS OF 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, \& 160}[/tex]

[tex]\large\textsf{FACTORS OF 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, \& 198}[/tex]

[tex]\large\text{Go through the factors to see if there’s any like terms and if you find any,} \\\large\text{look for the greatest one the numbers share together.}[/tex]

[tex]\large\text{Like terms: \boxed{\textsf{\bf 1 \& 2}}}[/tex]

[tex]\large\checkmark\boxed{\large\text{GCF: \bf 2 }}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge the GCF \underline{G}reatest \underline{C}ommon \underline{F}actor is \bf 2}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

[tex]\displaystyle f(x)=\frac{3}{2}x^3-\frac{27}{2}x^2+36x-21[/tex]

Where:

[tex]\displaystyle a=\frac{3}{2}, \, b=-\frac{27}{2}, \, c=36, \text{and } d=-21[/tex]

Step-by-step explanation:

We are given a cubic function:

[tex]f(x)=ax^3+bx^2+cx+d[/tex]

And we want to find a, b, c and d such that the  function has a relative maximum at (2, 9); a relative mininum at (4, 3); and an inflection point at (3, 6).

Since the function has a relative maximum at (2, 9), this means that:

[tex]f(2)=9=a(2)^3+b(2)^2+c(2)+d[/tex]

Simplify:

[tex]8a+4b+2c+d=9[/tex]

Likewise, since it has a relative minimum at (4, 3):

[tex]f(4)=3=a(4)^3+b(4)^2+c(4)+d[/tex]

Simplify:

[tex]64a+16b+4c+d=3[/tex]

We can subtract the first equation from the second. So:

[tex](64a+16b+4c+d)-(8a+4b+2c+d)=(3)-(9)[/tex]

Simplify:

[tex]56a+12b+2c=-6[/tex]

Divide both sides by two. Hence:

[tex]28a+6b+c=-3[/tex]

Relative minima occurs only at the critical points of a function. That is, it occurs whenever the first derivative equals zero.

Find the first derivative. We can treat a, b, c and d as constant. Hence:

[tex]f'(x)=3ax^2+2bx+c[/tex]

Since it has a minima at (2, 9), it means that:

[tex]f'(2)=3a(2)^2+2b(2)+c=0[/tex]

Thus:

[tex]12a+4b+c=0[/tex]

(We will only need one of the two points to complete the problem.)

Inflection points occurs whenever the second derivative of a function equals zero. Find the second derivative:

[tex]f''(x)=6ax+2b[/tex]

Since there is a inflection point at (3, 6):

[tex]18a+2b=0\Rightarrow 9a+b=0[/tex]

Solve for b:

[tex]b=-9a[/tex]

Substitute this into the above equation:

[tex]12a+4(-9a)+c=0[/tex]

Solve for c:

[tex]c=24a[/tex]

Substitute b and c into the previously acquired equation:

[tex]28a+6(-9a)+(24a)=-3[/tex]

Solve for a:

[tex]\displaystyle -2a=-3\Rightarrow a=\frac{3}{2}[/tex]

Solve for b and c:

[tex]\displaystyle b=-9\left(\frac{3}{2}\right)=-\frac{27}{2}\text{ and } c=24\left(\frac{3}{2}\right)=36[/tex]

Using either the very first or second equation, solve for d:

[tex]\displaystyle 8\left(\frac{3}{2}\right)+4\left(-\frac{27}{2}\right)+2(36)+d=9[/tex]

Hence:

[tex]d=-21[/tex]

Hence, our function is:

[tex]\displaystyle f(x)=\frac{3}{2}x^3-\frac{27}{2}x^2+36x-21[/tex]

Answer:

y = 9

Step-by-step explanation:

Answer:

(0.3049 ; 0.3751)

Step-by-step explanation:

The confidence interval for proportion can be obtained using the relation :

Phat ± Zcritical * [√phat(1-phat) / n]

phat = x / n

Sample size, n = 700

x = 238

phat = 238/700 = 0.34

Zcritical at 95% = 1.96

C.I = 0.34 ± 1.96 * [√0.34(1-0.34) / 700]

C.I = 0.34 ± 1.96 * 0.0179045

C. I = 0.34 ± 0.0350928

Lower boundary = 0.34 - 0.0350928 = 0.3049

Upper boundary = 0.34 + 0.0350928 = 0.37509

(0.3049 ; 0.3751)

the total of marbles = 16 + 10 +12 =38

A) white : blue = 16/10 = 8/5

B) red : total = 12/38 = 6/19

Step-by-step explanation:

1. find the total of marbles

Answer:

there is no file attached

Step-by-step explanation:

Answer:

24/25

Step-by-step explanation:

The sin value is the y coordinate of the exact value point.

24/25 is the y coordinate so 24/25 is the answer.

Answer:

24/25 is the correct answer

Answer:

$26

4/52 = 1/13..  the king will appear one in 13 tries... 13 tries is $26

Step-by-step explanation:

You should expect to spend $26 to win $100 playing this game.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To calculate the expected cost of playing this game until you win $100, we need to determine the probability of drawing a king on any given turn, as well as the number of times you are expected to play the game before you win.

So,

The probability of drawing a king on any given turn is 4/52, or 1/13 since there are 4 kings in a standard deck of 52 cards.

To determine the number of times you are expected to play the game before you win, we can use the geometric distribution, which models the number of trials it takes to achieve success in a sequence of independent trials, where the probability of success remains constant across trials.

The probability of winning on any given trial is 1/13, and the probability of losing is 12/13.

The expected number of trials until the first success (drawing a king) is:

= 1 / (1/13) = 13

This means that on average, you can expect to play the game 13 times before drawing a king and winning the $100 prize.

Now,

Since each game costs $2 to play, the total cost of playing the game 13 times is:

13 x $2 = $26

Therefore,

You should expect to spend $26 to win $100 playing this game.

Learn more about probability here:

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Answer:

27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

x = -3

y = 3

y - 8x

Step 2: Evaluate

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{y - 8x}\\\\\large\textsf{= 3 - 8(-3)}\\\\\large\textsf{8(-3) = \bf -24}\\\\\large\textsf{= 3 - \bf 24}\\\\\large\textsf{= \bf 27}\\\\\boxed{\boxed{\large\textsf{\huge\textsf{Answer: \bf 27}}}}\huge\checkmark\\\\\\\\\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

D. allows a person to borrow more money at a lower interest rate

Answer:

n = 4 is 10

hope it helps and have a good day