Find the constant of proportionality.


Please don't answer if you don't know it. (it doesn't help whatsoever)

Answer:

x = -3 ±3sqrt(3)

Step-by-step explanation:

3(x+3)^2-81=0

Add 81 to each side

3(x+3)^2=81

Divide each side by 3

3/3(x+3)^2=81/3

(x+3)^2=27

Take the square root of each side

sqrt ((x+3)^2)=±sqrt(27)

x+3 =±sqrt(9*3)

x+3 =±sqrt(9)*sqrt(3)

x+3 =±3sqrt(3)

Subtract 3 from each side

x = -3 ±3sqrt(3)

Step-by-step explanation:

the true statemnts underneath and are in bold letters

-.For all nonempty sets A, B, C, D, if A x B = C x D, then A = C and B = D.

This property is true

-The cartesian product has a cancellation property, i.e. if A x B = A x C for some sets A, B, C and A nonempty, then B = C.

This property is true

- If A={1,2} and B={3} then A x B ={ (1,3), (2,3) }.

if we have 2 non empty sets a and b if we want to get their cartesian product, it is defined as the set of all ordered pairs from a and b

we have A x B to be{(1,3)(2,3)}

therefore this is also true

Answer:

The answer is -11x and -21

Answer:

The first one

Step-by-step explanation:

Since only the first session is $10, it wouldn't be 10x.

The second session is $5, and it will never be $10 again, so $5 sessions are unlimited which would be 5x.

So the answer is y = 10 + 5x

(sorry if i didnt explain well)

Answer:

9

Step-by-step explanation:

2x3=6

3x3=9

Answer:

782/34 = 23 beads for each bracelet

Step-by-step explanation:

23 beads.

782 devided by 34 is 23. ask google if u think im wrong

Answer:  c

Step-by-step explanation:

c is the answer

#CarryOnLearning

Answer:

1.) False

The product [tex]\bold{\frac{5}{2}}[/tex]([tex]\bold{\frac{4}{25}}[/tex]) will give the unit price of one kilogram of rice.

2.) False

Emily paid less than $1.50 per kilogram of rice.

3.) True

If Emily has $1.00 \:to\: spend\: on\: rice, she\: can\: get [tex]\frac{4}{10}[/tex]$ of a kilogram of rice.

#CarryOnLearning

Answer:

x=4

Step-by-step explanation:

Step 1: Add 3x to both sides.

−5x+9+3x=−3x+1+3x

−2x+9=1

Step 2: Subtract 9 from both sides.

−2x+9−9=1−9

−2x=−8

Step 3: Divide both sides by -2.

−2x/−2=−8/−2

Answer:

About 1200

Step-by-step explanation:

I would round them to the nearest 10 so 27 would become 30 and 42 would be 40.

Then you would multiply to get the answer of about 1200.

Hope that helps and have a great day!

The polynomial remainder theorem says that a polynomial p(x) leaves a remainder of p(k) when it's divided by x - k.

We're given that dividing p(y) = 2y³ + by² - cy + d leaves the same remainder R after dividing it by y + 1, y - 2, and 2y - 1. So we have

p(-1) = 2(-1)³ + b(-1)² - c(-1) + d = R

==>  R = -2 + b + c + d

p(2) = 2(2)³ + b(2)² - c(2) + d = R

==>  R = 16 + 4b - 2c + d

p(1/2) = 2(1/2)³ + b(1/2)² - c(1/2) + d = R

==>  R = 1/4 + b/4 - c/2 + d

We're also given that y + 2 is a factor, which means dividing p(y) by it leaves no remainder, and so

p(-2) = 2(-2)³ + b(-2)² - c(-2) + d = 0

==>  0 = -16 + 4b + 2c + d

Solve the system of equations in boldface. You can eliminate d from the first 3 to first solve for b and c, then solve for d :

(-2 + b + c + d) - (16 + 4b - 2c + d) = R - R

-18 - 3b + 3c = 0

b - c = -6

(-2 + b + c + d) - (1/4 + b/4 - c/2 + d) = R - R

-9/4 + 3b/4 + 3c/2 = 0

b + 2c = 3

(b - c) - (b + 2c) = -6 - 3

-3c = -9

c = 3

b - 3 = -6

b = -3

-16 + 4(-3) + 2(3) + d = 0

d = 22

Answer:

0.75

Step-by-step explanation:

Answer:

Question 1

The correct option is  A

Question two

 The correct option is B

Question three

   [tex]SE= 0.5[/tex]  

Question four

   [tex]z = - 3 [/tex]

Question five

The correct option is A

Step-by-step explanation:

   The population mean is  [tex]\mu =  50 \ grams[/tex]

   The sample size is  n = 16

   The population size is N  = 4000

   The sample mean is  [tex]\= x  =  48.5 \grams[/tex]

   The standard deviation is [tex]s  =  2 \ gram(s)[/tex]

Considering the first question

 The correct option is  A

z test because the SD of the population is known and the weights follow the normal curve

Considering  the second question

The correct option is  B

Yes, because with only 20 observations the sample SD is not a great estimate of the true population SD.

Considering  the third question  

   Generally the standard error is mathematically represented as

         [tex]SE= \frac{s }{\sqrt{n} }[/tex]

=>      [tex]SE= \frac{2 }{\sqrt{16} }[/tex]

=>       [tex]SE= 0.5[/tex]    

The null hypothesis is  [tex]H_o :  \mu  =  50[/tex]

The alternative  hypothesis is  [tex]H_a :  \mu  <  50[/tex]

Generally the test statistics is mathematically represented as

      [tex]z = \frac{ \= x  - \mu  }{ SE }[/tex]

=>    [tex]z = \frac{ 48.5 - 50 }{ 0.5}[/tex]

=>   [tex]z = - 3 [/tex]

Generally the p-value is mathematically represented as

     [tex]p-value  = P(Z <  z )[/tex]

=>  [tex]p-value  = P(Z <  - 3  )[/tex]

From the z-table the

    [tex]P(Z <  - 3  ) =0.0013499[/tex]

=>  [tex]p-value  = 0.0013499[/tex]

From the obtained values we see that

  [tex]p-value  <  \alpha[/tex]

So we reject the null hypotheses

The conclusion

it's very unlikely that the factory is making the candy bars 50 grams as they claim

Testing the hypothesis, we have that:

At the null hypothesis, we test if the factory is doing what it is supposed to, that is, the mean is of 50 grams, hence:

[tex]H_0: \mu = 50[/tex]

At the alternative hypothesis, we test if the factory is cheating the customer, that is, the mean is of less than 50 grams, hence:

[tex]H_1: \mu < 50[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

For this problem, the values of the parameters are: [tex]\overline{x} = 48.5, \mu = 50, \sigma = 2, n = 16[/tex]

Hence, the standard error is:

[tex]S_e = \frac{2}{\sqrt{16}} = 0.5[/tex]

The value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{S_e}[/tex]

[tex]z = \frac{48.5 - 50}{0.5}[/tex]

[tex]z = -3[/tex]

The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.05, is of [tex]z^{\ast} = -1.645[/tex]

Since the test statistic is less than the critical value for the left-tailed test, we can reject the null hypothesis.

A similar problem is given at https://brainly.com/question/14983950

Answer:

1

Step-by-step explanation:

5/7 *14/10 = 14/7 * 5/10 = 2 * 1/2 =1

Hope I understood the question correctly.

Answer:

The last one is 8

Step-by-step explanation:

I'm unsure of the question.

Answer:

45

Step-by-step explanation:

corresponding angles are congruent

3 and 7 are corresponding

Answer:

6 1/4

Step-by-step explanation:

Answer: 6

Step-by-step explanation: Since there are three different ways to get from A to B, that creates three variants of each way to get from B to C.

Say the roads are numbered. From A to B, you can use roads 1, 2, or 3. From B to C, you can use roads 4 or 5. The different combinations are 1-4, 1-5, 2-4, 2-5, 3-4, and 3-5.

Answer:

1+1 is 2 and 2+3 is 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

14          30

-----  =  ------

5

cross multiple 30(5)=150

divide 150/14= 10.7142857

idk if they want you to round but

11 or

10.7

Answer:

Its B because 500 tickets is the maximum amount

Step-by-step explanation:

This question is incomplete, the complete answer is;

If one scours the Internet for long enough, one can collect the heights and weights of all of the players in the National Hockey League (... yes, we did!) If you did too, you would find that they have a mean height of 73.03 inches with a standard deviation of 2.03 inches. The mean weight would be 202.18 pounds with a standard deviation of 15.73 pounds. Here are some data for four of those NHL players in 2017-18: Player/Team HEIGHT WEIGHT Dustin Byfuglien (Winnipeg Jets) 75 260 Dylan Ferguson (Vegas Golden Knights) 74 190 Tom Wilson (Washington Capitals) 76 218 Sidney Crosby (Pittsburgh Penguins) 71 200.

Below, match each of the four players with their respective z-scores for height.

a. Dustin

b. Ferguson

c. Wilson

d. Crosby

1. A= 0.97

2. B= 0.48

3. C= -1.00

4. D= +1.46

Answer:

a. Dustin                MATCHES      1. A= 0.97

b. Ferguson          MATCHES      2. B= 0.48

c. Wilson                MATCHES      4. D= +1.46

d. Crosby              MATCHES      3. C= -1.00

Step-by-step explanation:

Given that;

their mean height u = 73.03

standard deviation α = 2.03

now the z-score height for each player;

a-  Dustin Byfuglien (Winnipeg Jets) Height = 75

z = (x - u) / α = (75 - 73.03) / 2.03 = 1.97 / 2.03 = 0.9704 ≈ 0.97

b-  Dylan Ferguson (Vegas Golden Knights) Height = 74

z = (x - u) / α = (74 - 73.03) / 2.03 = 0.97 / 2.03 = 0.4778 ≈ 0.48

- Tom Wilson (Washington Capitals) Height = 76

z = (x - u) / α = (76 - 73.03) / 2.03 = 2.97 / 2.03 = 1.4630 ≈ 1.46

Sidney Crosby (Pittsburgh Penguins) Height = 71

z = (x - u) / α = (71 - 73.03) / 2.03 =  -2.03 / 2.03 = - 1.00

Therefore

a. Dustin                MATCHES      1. A= 0.97

b. Ferguson          MATCHES      2. B= 0.48

c. Wilson                MATCHES      4. D= +1.46

d. Crosby              MATCHES      3. C= -1.00

Answer:

1

Step-by-step explanation:

y2-y1

/

x2-x1

6 - 9

/

1-4

= -3/-3

which simplifies to 1

Answer:

Around 2.63

Step-by-step explanation:

144 x 2.63 = 378.72

I would put 2.60, but you do you

Answer:

18.75 cups of flour

Step-by-step explanation:

The answer is 18.75 cups of flour as you have to multiply 5 by 3 3/4. The result will be 18.75. Hope it helps!

You need 18 3/4 cups of flour, to make 5 batches of the recipe.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

If one batch of the recipe calls for 3 3/4 cups of flour, then 5 batches of the recipe will require:

5 × 3 3/4 cups

To multiply a whole number by a mixed number, we first convert the mixed number to an improper fraction:

3 3/4 = (4 × 3 + 3) / 4 = 15/4

Now we can multiply:

5 × 15/4 = (5 × 15) / 4 = 75/4

To convert this fraction to a mixed number, we divide the numerator by the denominator and write the remainder as a fraction:

75 ÷ 4 = 18 remainder 3

So, 75/4 is equal to 18 3/4.

Therefore, 5 batches of the recipe will require:

18 3/4 cups of flour.

To learn more about fractions;

https://brainly.com/question/10354322

#SPJ2

Answer: RTGVTFGVTTGSGT

Step-by-step explanation: