The area of a circle is 810 m2. What is the circumference, in meters? Express your
answer in terms of 7.

Step-by-step explanation:

[tex]\displaystyle f'(x) = \lim_{h \to 0} \dfrac{f(x + h) - f(x)}{h}[/tex]

[tex]\:\:\:\:\:\displaystyle = \lim_{h \to 0} \dfrac{(x+h)^2 -7 -(x^2 - 7)}{h}[/tex]

[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{(x^2 +2hx + h^2 -7) - (x^2 -7)}{h}[/tex]

[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{2hx + h^2}{h}[/tex]

[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} (2x +h)[/tex]

[tex]\:\:\:\:\: \displaystyle= 2x[/tex]

Answer:

A.

[tex] = > \: 2 \times {10}^{ - 3} [/tex]

Answer:

10*9*8*7*6*5*4*3 = 10!/2 = 1814400 Cheers

Step-by-step explanation:

hope it works.

Answer:

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

Step-by-step explanation:

To solve this question, we use the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 109.0 inches, and a standard deviation of 12 inches.

This means that [tex]\mu = 109, \sigma = 12[/tex]

Sample of 25.

This means that [tex]n = 25, s = \frac{12}{\sqrt{25}} = 2.4[/tex]

What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches?

This is the p-value of Z when X = 112. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{112 - 109}{2.4}[/tex]

[tex]Z = 1.25[/tex]

[tex]Z = 1.25[/tex] has a p-value of 0.8944.

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

Answer:

10 cups

Step-by-step explanation:

we can set up a proportion of cups of water over cups of apple juice

2/3 = w/15

if you cross-multiply you will get:

3w = 30

w = 30/3

w = 10

Answer:

15

Step-by-step explanation:

135 divided by 9 = 15

Answer:

What is the answer you're looking for?

Step-by-step explanation:

Answer:

this statement is true because then the triangles will be congruent by rhs axiom

Answer:

The answer is "Option 5"

Step-by-step explanation:

Please find the complete question in the attached file.

Throughout the above output the regression equation is:

Delivery cost [tex]=0.469\times weight +9.617[/tex]

It can save time from doing number crunching and analysis because it's an easy to see visual.

Answer:

a

Step-by-step explanation:

1/2x-30aaaaaaaaaaaaaaaa

Answer:

b = 55

Step-by-step explanation:

The two angles add to 90 degrees

b+35 = 90

Subtract 35 from each side

b +35-35 = 90-35

b = 55

Answer:

90-35=55

Answer is D

Step-by-step explanation:

As evident, the line is bisecting the right angle. One side of the bisection is given as 35. Thus by deduction:

90-35=b

90-35=55

55=b

Answer:

P(t) = - 60t + 4720

3580

Step-by-step explanation:

Given :

m = (y2 - y1)/(x2 - x1)

m = (4250 - 4600) / (8 - 2)

m = - 360 / 6

m = - 60

Using the point slope relation :

y - y1 = m(x - x1)

y - 4600 = - 60(x - 2)

y - 4600 = - 60x + 120

y - 4600 + 4600 = - 60x + 120 + 4600

y = - 60x + 4720

P(t) = - 60t + 4720

To predict population in 2009 :

2009 - 1990 = 19 years

Put t = 19

P(19) = - 60(19) + 4720

P(19) = - 1140 + 4720

P(19) = 3580

Answer:

47/60

Step-by-step explanation:

Find the LCM and multiply to get there.

LCM is 60

63/60-16/60

47/60

Answer:

592 Votes

Step-by-step explanation:

According to the Question,

                                 A        B       С

Candidates Votes     67      57     54

And, There are 1571 students in the school.

⇒(1571/178)×67

⇒591.33 ≈ 592 Votes(Approximately)

Answer:

answer in picture
c, b, d

Step-by-step explanation:

9514 1404 393

Answer:

  6·x^6·y^12

Step-by-step explanation:

(3x^6)(2y^12) = (3)(2)x^6·y^12 = 6·x^6·y^12

Answer:

6 x ⁶ y ¹²

Step-by-step explanation:

= ( 3 x ⁶ ) ( 2 y¹² )

= ( 3 ×2 ) x ⁶ y ¹²

= 6 x⁶ y ¹²

Answer:

She earned 1500 in interest

Step-by-step explanation:

10,000 × 0.03 × 5 = 1500

Your welcome :)

Answer:

A

Step-by-step explanation:

The table represents a proportional function which has a rate of proportionality equal to 5

In fact

5:1 = 5

15 : 3 = 5

25 : 5 = 5

35 : 7 = 5

If we make 90 : 18, the result is 5, so this dates can be part of the table

(i) 3 csc²(x) - 4 = 0

3 csc²(x) = 4

csc²(x) = 4/3

sin²(x) = 3/4

sin(x) = ± √3/2

x = arcsin(√3/2) + 2nπ  or   x = arcsin(-√3/2) + 2nπ

x = π/3 + 2nπ   or   x = -π/3 + 2nπ

where n is any integer. The general result follows from the fact that sin(x) is 2π-periodic.

In the interval 0 ≤ x ≤ 2π, the first family of solutions gives x = π/3 and x = 4π/3 for n = 0 and n = 1, respectively; the second family gives x = 2π/3 and x = 5π/3 for n = 1 and n = 2.

(ii) 4 cos²(x) + 2 cos(x) - 2 = 0

2 cos²(x) + cos(x) - 1 = 0

(2 cos(x) - 1) (cos(x) + 1) = 0

2 cos(x) - 1 = 0   or   cos(x) + 1 = 0

2 cos(x) = 1   or   cos(x) = -1

cos(x) = 1/2   or   cos(x) = -1

[x = arccos(1/2) + 2nπ   or   x = 2π - arccos(1/2) + 2nπ]   or   x = arccos(-1) + 2nπ

[x = π/3 + 2nπ   or   x = 5π/3 + 2nπ]   or   x = π + 2nπ

For 0 ≤ x ≤ 2π, the solutions are x = π/3, x = 5π/3, and x = π.

Answer: There are 128 fluid ounces in a gallon

Step-by-step explanation:

There are 128 fluid ounces in a gallon

Answer:

4th option is correct

Step-by-step explanation:

[tex]8 x - 4 = 6 - 3 x[/tex]

[tex]8x−4+3x=6[/tex]

[tex]11x−4=6[/tex]

[tex]11x=6+4[/tex]

[tex]11x=10[/tex]

Answer:

option 4 ,

x=10/11

is the answer of your question

explanation is attached below .

hope it is helpful to you

Answer:

9 did not hit the bulls eye

Step-by-step explanation:

If 40% did hit the bulls eye, 100-40 = 60% did not hit the bulls eye

15 * 60%

15 *.6

9

9 did not hit the bulls eye

Answer:

Therefore, 9 darts did not hit the bull's-eye.

Step-by-step explanation:

Equivalent ratio states that the two ratios are express the same relationship between numbers

As per the given statement: Curtis threw 15 darts at a dashboard.

40% of his darts hit the bull's eye

then;

60 % of his darts did not hit the bull's eyes.

By definition of equivalent ratio;

x/15= 600/100

Multiply both sides by 15 we have;

x= 60/100 *15= 60*15/100= 900/100=  9 Darts

Answer:

Some unexpected expenses I have had were Pet Emergencies with my dog

or Major Auto Repairs if my car gets in an accident or home repairs if my child writes on the wall or breaks a whole in it. I dealt with them by selling stuff that I dont use to pay it off. Some expenses I might face in the next 5 years would be Medical emergencies for my family just incase anything were to happen to them

Answer:

275.15

Step-by-step explanation:

312.67 * 12% = 37.52

312.67 - 37.52 = $275.15

Answer:

-2

Step-by-step explanation:

The integer of - 2 is - 2 only as integers can be positive and negative whole numbers