2. Evaluate the logarithm. (
log,1024

Answer:

X: amount of a spare part of price $74 per unit.

Y: cost of purchasing X spare parts.

Step-by-step explanation:

We can imagine that X represents the amount of an object, for example a car spare part,  which price is $74 per unit.

Then, Y would represent the cost of purchasing X units of that spare part.

Answer:

y = x2 − 500x + 60,000

Step-by-step explanation:

The length of the fenced-in section is (x − 200) feet, and the width is (x − 300) feet.

area of the fenced-in section = length • width

y = (x − 200)(x − 300)

= x2 − 300x − 200x + 60,000

= x2 − 500x + 60,000

Answer:

y= x^2 − 500x + 60,000

Step-by-step explanation:

Other loser made a mistake

The length of the fenced-in section is (x − 200) feet, and the width is (x − 300) feet.

area of the fenced-in section = length • width

y = (x − 200)(x − 300)

= x^2 − 300x − 200x + 60,000

= x^2 − 500x + 60,000

Answer:

The mean number of scores per game is 8

Step-by-step explanation:

Since we know we can find the mean by adding all the numbers and dividing them by many numbers there were. Once you add 8, 14, 4, 7, 6, 4, and 7, you will get 64. Since there were 8 numbers, you divide 64 by 8 to get 8.

Answer:

No real solution- Not any of the options anyway

Step-by-step explanation:

So I replaced the x's with the two possible equations and then tried to solve...

2=4+(4x2-4)1/2

2=4+(8-4)1/2

2=4+(4)1/2

2=8(1/2)

2=4   Which is not true

10=4+(4x10-4)1/2

10=4+(40-4)1/2

10=4+36(1/2)

10=40(1/2)

10=20 Which is also not true

Therefore, there is no real solution

Answer:

B: x = 10 on Edge 2020

Step-by-step explanation:

Answer: The initial volume is 593.76mL

Step-by-step explanation:

As you do not say anithing about the pressure, i guess that the pressure remains constant.

If the gas is an ideal gas, we have:

P*V = n*R*T

where P is pressure, n is number of moles and R is a constant.

Now, initially we have:

P*Vi = n*R*315°C

finally we have:

P*825mL = n*R*452°C

Now we can take the quiotient of those two equations and get:

(P*Vi)/(P*852mL) = (n*R*315°C)/( n*R*452°C)

Now we have:

Vi/852mL = 315/452

Vi =  (315/452)*852mL = 593.76mL

So when we expand the gas at constant pressure, we increase the temperature.  

Answer:

691 mL

Step-by-step explanation:

Answer:

B, C and E

Step-by-step explanation:

1) Proving that opposite sides have equal slopes as they are parallel also

2) Proving that opposite sides are parallel and equal

Answer:

15/ 16  

Step-by-step explanation: 3/2 x 5/8=  15/16

you flip 2/3 to 3/2 and multiply it

Answer:

Hi

Step-by-step explanation:

In

Answer:

3/4 would represent the shaded in parts of the circle

Step-by-step explanation:

I cannot give you an accurate answer seeing as you did not give much detail

Answer:

  $3.00 < $15.00

Step-by-step explanation:

It is unusual to see a dollar amount with three digits to the right of the decimal point. (This sometimes happens when prices are expected to be multiplied by large quantities.) On the other hand, it sometimes happens that a period gets substituted for a comma. So, some relevant inequalities might be ...

  $3.00 < $15

  $3,000 > $15

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

Scientific notation is written as:

a x 10^n

where 'a' is a value between 1 and 10

In this case, it would be:

6.98 x 10^5

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Correct Answer:

6.98 x 10^5

Answer:

Step-by-step explanation:

16x^4y^-3z^4 / 36x^-2yz^0

16x^4y^-3z^4 = 16x^4z^4/y^3

36x^-2yz^0 = 36x^-2y(1) =36x^-2y = 36y/x^2

16x^4y^-3z^4 / 36x^-2yz^0

= (16x^4z^4/y^3) / (36y/x^2)

= 16x^4z^4/y^3 * x^2/36y  

= (4/9)x^6z^4/y^4

or another way

fist multiply it out

f(x) = 4x^(3/5) - x^(8/5)

now differentiate knowing d/dx(x^n) = n x^(n-1)

to get

4*(3/5) x^(-2/5) - 8/5 x^(3/5)

simplify to get

12/5/x^(2/5) -   8/5 x^(3/5)

If this is what your looking for please give me brainiest, i have done this problem in the past so i know how to solve it :)

Answer:

45 sweets.

Step-by-step explanation:

Gavin gets 7(7+3+2) = 7/12 of the sweets.

Dan gets  2 /12  so   Gavin gets 7/2 times as much as Dan

Let Dan get x sweets then

x + 75 = 7x /2

7x/2 - x = 75

5x/2 = 75

x = 75 * 2/5 = 30 sweets.

So Dan gets 30 sweets , Gavin gets 105 sweets and  Colin gets  3/2 * 30

= 45 sweets.

Answer:

31.25

Step-by-step explanation:

Firstly, we need to identify the pattern.

Pattern: every next number is obtained by dividing the previous number by 2.

1st number = 1000

2nd number = 1000/2 = 500

3rd number =  500/2 = 250

4th number = 250/2 = 125

5th number = 125/2 = 62.5

6th number = 62.5/ 2 = 31.25.

_______________________________________________

It can be also solved using concept of geometric progression

In GP

any nth number is given by = [tex]ar^(n-1)[/tex]

where a is first number

r is the common ratio for the gp

r common ratio is calculated by = nth/(n-1)th

here r = 500/1000 = 1/2

a = 1000

next term which we need to find is 6th terms

Thus, 6th terms = [tex]1000*(1/2)^(6-1)[/tex]

 [tex]=1000/2^5[/tex]

=1000/32 = 31.25

Answer:

140 people in Ivy's workforce

Step-by-step explanation:

First, add together the 79 workers and the 5 extra people.

79 + 5 = 84

Now take 84 divided by 3/5 to find the number of people who are in the workforce.

84/ 3/5 = 140 people in Ivy's workforce

Answer:

140

Step-by-step explanation:

First, add together the 79 workers and the 5 extra people.

79 + 5 = 84

Now take 84 divided by 3/5 to find the number of people who are in the workforce.

84/ 3/5 = 140 people in Ivy's workforce

Answer:

The average temperature after 200 kilometers of journey is -4 °C.

Step-by-step explanation:

The situation shows that change in average temperature is directly proportional to travelled distance:

[tex]T = 2^{\circ}C - \frac{3^{\circ}C}{100\,km} \cdot (200\,km)[/tex]

[tex]T = -4^{\circ}C[/tex]

The average temperature after 200 kilometers of journey is -4 °C.

Answer:

The temperature after 200 km of its journey is -4°C

Step-by-step explanation:

To find the new temperature, first, you need to find how much the temperature decreases, and then subtract this temperature decrease to the initial temperature.

The temperature decreases 3°C for every 100 km travelled, then, after 200 km the temperature decreases 2*3 = 6 °C.

At the start of the bear's journey, the temperature was 2 °C, after 200 km the temperature is 2 - 6 = -4°C

Answer:

Pythagorean Triples are sets of whole numbers for which the Pythagorean Theorem holds true. The most well-known triple is 3, 4, 5. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.

Answer:

4 x (x + 5)^2

Step-by-step explanation:

Factor the following:

4 x^3 + 40 x^2 + 100 x

Factor 4 x out of 4 x^3 + 40 x^2 + 100 x:

4 x (x^2 + 10 x + 25)

The factors of 25 that sum to 10 are 5 and 5. So, x^2 + 10 x + 25 = (x + 5) (x + 5):

4 x (x + 5) (x + 5)

(x + 5) (x + 5) = (x + 5)^2:

Answer: 4 x (x + 5)^2

Answer:

[tex]4 \sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{80}[/tex]

80 can be written as a product of 16 and 5.

[tex]\sqrt{16 \times 5}[/tex]

Distribute the square root to both terms.

[tex]\sqrt{16} \times \sqrt{5}[/tex]

16 is a perfect square 4×4.

[tex]4 \times \sqrt{5}[/tex]

Answer:

4 * sqrt(5)

Step-by-step explanation:

sqrt(80)

sqrt(16*5)

We know that sqrt (ab) = sqrt(a) sqrt(b)

sqrt(16) sqrt(5)

4 * sqrt(5)

Answer:

  4 and -10

Step-by-step explanation:

Take the square root:

  x +3 = ±√49 = ±7

Subtract 3:

  x = -3 ± 7

For the minus sign, we have ...

  x = -3 -7 = -10

For the plus sign, we have ...

  x = -3 +7 = 4

The solutions are x = 4 and x = -10.

The solutions of the quadratic equation x = 4 and x = –10

Step-by-step explanation:

Answer:

a. The sampling distribution of the sample mean will have a smaller standard deviation than the population.

b. The sampling distribution of the sample mean will have a different standard deviation than the population.

c. The shape of the sampling distribution of the sample mean will be skewed right.

Step-by-step explanation:

Answer:

9 Golden Retrievers.

Step-by-step explanation:

If there were 8 dogs last Saturday, and half were golden retrievers, next Saturday should have half golden retrievers. 18 divided by 2 equals 9.

[tex]18 \div 2 = 9[/tex]

Hope this helped :)

Answer:

ryt

Step-by-step explanation:

Answer:

c+2 increases linearly with c. That means that if c increases by 1, c+2 will increase by 1; if by 2, c+2 will increase by 2.

Step-by-step explanation:

Answer:

50 minutes

Step-by-step explanation:

Time when patty goes to mall = 9:30 am

Time when he has to meet a friend = 11.15 Am

Spare time patty has is interval between Time when he has to meet a friend

and Time when patty goes to mall

which can be written as

Spare time patty has = 9:30 am to 10:30 am which is 1 hours 45 mins.

One hour has 60 minutes.

Thus total time in minutes patty has = 1*60 minutes + 45 minutes = 105 minutes.

Time which will be used by Patty to have lunch = 55 minutes.

Time left out if 55 minutes are used in lunch = total spare time - time for lunch = (105 - 55 ) minutes = 50minutes.

Patty wants to shop in the spare time after allocating 55 minutes to lunch.

Thus the rest of time which is 50 minutes, he can use to shop.

Answer:

a) A sample size of at least 251 students is needed.

b) A sample of at least 97 students is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

(a) you are unwilling to predict the proportion value at your school

We need a sample size of at least n.

n is found when M = 0.08.

We wont predict a proportion value for the school, so we use [tex]\pi = 0.5[/tex]

So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.08 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.08\sqrt{n} = 1.96\sqrt{0.5*0.5}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.5*0.5}}{0.08}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.5*0.5}}{0.08})^{2}[/tex]

[tex]n = 150.1[/tex]

Rounding up

A sample size of at least 251 is needed.

(b) you use the results from the surveyed school as a guideline.

Now we have that [tex]\pi = 0.2[/tex]

So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.08 = 1.96\sqrt{\frac{0.2*0.8}{n}}[/tex]

[tex]0.08\sqrt{n} = 1.96\sqrt{0.2*0.8}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.2*0.8}}{0.08}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.2*0.8}}{0.08})^{2}[/tex]

[tex]n = 96.04[/tex]

Rounding up

A sample of at least 97 students is needed.

Answer:

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

5 tan x = 5 root 3

tan x = root 3

sin x / cos x = root 3

(root(3) / 2) / (1/2) = root 3

sin x = root(3)/2

cos x = 1/2

x = 60 degrees

Answer:

x = -7

Step-by-step explanation:

Solve for x:

4 (1 - x) + 2 x = -3 (x + 1)

4 (1 - x) = 4 - 4 x:

2 x + 4 - 4 x = -3 (x + 1)

2 x - 4 x = -2 x:

-2 x + 4 = -3 (x + 1)

Expand out terms of the right hand side:

4 - 2 x = -3 x - 3

Add 3 x to both sides:

3 x - 2 x + 4 = (3 x - 3 x) - 3

3 x - 3 x = 0:

3 x - 2 x + 4 = -3

3 x - 2 x = x:

x + 4 = -3

Subtract 4 from both sides:

x + (4 - 4) = -4 - 3

4 - 4 = 0:

x = -4 - 3

-4 - 3 = -7:

Answer:  x = -7

Answer:

X=-7

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

The midsegment AB=(DG+EF)/2

so (5x-4+8x+2)/2=12

       *2                     *2

13x-2=24

+2       +2

13x=26

:13  :13

x=2