Write each of the following equations in general form.
a. 1 − 2x = y
b. 9y + 7x = 16 − 3y + x
c. x = 3
d. 2y − 4x − 1 = 7

Answer: 0.2pi

Step-by-step explanation:

1. Find the area of the entire circle

2. Set up a proportion that compares the relationship of the Area of sector and the Area of circle to the Arc measure and the circle measure

3. Solve!

Hi!

8 - 24 = -(24 - 8) = -16

Answer:

-16

Step-by-step explanation:

8-24=-16

Answer:

3

Step-by-step explanation:

Factorial means multiply that number and all numbers below it

3! = 3*2*1 = 6

0! =1

2! = 2*1 = 2

1! =1

6*1

------

2*1

6/2 =3

Answer:

Step-by-step explanation:

I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.

The position equation is

[tex]s(t)=-1.86t^2+15t[/tex]  That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.

The first derivative of position is velocity:

v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):

0 = -3.72t + 15 and solve for t:\

-15 = -3.72t so

t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:

s(4.03) = -1.86(4.03)² + 15(4.03) so

s(4.03) = 30.2 meters.

Calculus is amazing. Much easier than most methods to solve problems like this.

Answer:

5h + 3p

Step-by-step explanation:

1 hardback weighs 5 pounds, then

h hardbacks weigh 5 × h = 5h

1 paperback weighs 3 pounds, then

p paperbacks weigh 3 × p = 3p

total weight = 5h + 3p

Answer:

Muhammad lives 8 km away from the school.

Hita lives 4 km away from the school.

Step-by-step explanation:

First of all, find a number that, when you double that number and add both numbers, you will get 12. That number is 4. So double 4 and get 8. Then add both to get 12.

Answer:

the equation of a straight line which is of the form y = mx + b, is called the slope intercept form. Here 'm' is the slope of the line and 'b' is the point at which the line intercepts the y - axis. An example for slope intercept form equation is y = 3x + 5.

Answer:

"85%" is the right answer.

Step-by-step explanation:

Given:

[tex]\mu = 70[/tex] (%)

[tex]\sigma = 5[/tex] (%)

As we know,

The 99.7% observation fall within the 3rd standard deviation, then

⇒ [tex](\mu \pm \sigma ) = (70-(3\times 5)) \ to \ (70+(3\times 5))[/tex]

                [tex]=(70-15) \ to \ (70+15)[/tex]

                [tex]=55 \ to \ 85[/tex] (%)

Thus the above is the correct solution.  

Answer:

B

Step-by-step explanation:

We want to find the value of:

[tex]\displaystyle |6-3i|[/tex]

Recall that given a complex number z in the form:

[tex]z=a+bi[/tex]

The absolute value of z will be given by:

[tex]\displaystyle |z| = \sqrt{a^2+b^2}[/tex]

We have the complex number:

[tex]6-3i[/tex]

Thus, a = 6 and b = -3.

Then its absolute value will be:

[tex]|6-3i|=\sqrt{(6)^2+(-3)^2}[/tex]

Evaluate:

[tex]\displaystyle |6-3i|= \sqrt{36+9}=\sqrt{45}=3\sqrt{5}[/tex]

Hence, our answer is B.

Answer: The answer is B.

Step-by-step explanation:

James Madison High School

Answer:

x is smaller than 5.6 and greater than 0

:Answer:

1.) The majority of drivers, about 62 percent, plan to buy a used vehicle next.

3.) Ten percent of drivers lease their current vehicle.

5.) The least percentage of people will lease their next car.

Correct on EDGE2021

Answer:

A)The majority of drivers, about 62 percent, plan to buy a used vehicle next.

C)Ten percent of drivers lease their current vehicle.

E)The least percentage of people will lease their next car.

Step-by-step explanation:

edge 2023

Answer:

Sum of 6

Sum of 2 or 9

Sum (> 2 but < 5)

Step-by-step explanation:

We are given that :

Elena's probability of winning is 6 /36 = 1/6

And also that Martha's probability if winning is lower Than that of Elena ; Hence, Martha's outcome should be outcjnes whose probability is less than 1/6 (Elena's probability of winning)

Using a sample space that gives the sum of 2 dices.

Recall :

Probability = required outcome / Total possible outcomes

Total possible outcomes for a two dice throw = 6² = 36

Using the sample space attached, we can count the sums from the sample space :

To obtain a sum of 7 :

P(sum 7) = 6 /36 = 1/6

To obtain a sum of 6 :

P(sum 6) = 5 /36

Sum of 2 or 9:

P(sum of 2 or 9). = 5 / 36

Sum > 9 :

P(sum > 9). = 6/36

P Sum (> 2 but < 5) = 5 /36

Correct choices are probability values less than 6/36 which are :

Sum of 6

Sum of 2 or 9

Sum (> 2 but < 5)

Answer:

rolling a sum of 6

rolling a sum of 2 or a sum of 9

rolling a sum that is greater than 2 but less than 5

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

124 * 11 = 1364

1364 + 328 = 1,692

9514 1404 393

Answer:

  each is 55°

Step-by-step explanation:

The sum of angles in a trapezium is 360°, so the sum of the remaining two angles is 360° -250° = 110°. Each of those two equal angles will be ...

  110°/2 = 55°

Recall that for |x| < 1, we have

[tex]\displaystyle \frac1{1-x} = \sum_{n=0}^\infty x^n[/tex]

Differentiating both sides gives

[tex]\displaystyle \frac1{(1-x)^2} = \sum_{n=0}^\infty nx^{n-1} = \sum_{n=0}^\infty (n+1)x^n[/tex]

and multiplying both sides by 8 gives the series for f(x) :

[tex]f(x)=\displaystyle \frac8{(1-x)^2} = \boxed{8\sum_{n=0}^\infty (n+1)x^n}[/tex]

and this converges over the same interval, |x| < 1, so that the radius of convergence is 1.

Answer:

[tex]Domain = (-\infty,-2)[/tex] --- quadratic function

[tex]Domain = (-2,6)[/tex] --- linear function

[tex]Domain = (6,\infty)[/tex] --- square root function

Step-by-step explanation:

Given

The attached graph

Required

The domain of each function

Starting from the left; the first function is the quadratic function.

The curve of the quadratic function stops at -2 So, the domain is:

[tex]Domain = (-\infty,-2)[/tex]

The straight line that starts at -2 and ends at 6 is a linear function.

So, the domain is:

[tex]Domain = (-2,6)[/tex]

Lastly, the square root function begins at 6. So, the domain is:

[tex]Domain = (6,\infty)[/tex]

Answer:

quadratic = (-∞,-2)

square root = (6,∞)

linear = (-2,6)

Step-by-step explanation:

Answer:

At the beginning, there were 2,678.26 grams of sugar in the container.

Step-by-step explanation:

Since Lisa used 880g of a container of sugar to bake a cake and 1/10 of the creaming sugar to make cookies, and she then had 3/7 of the container of sugar left, to determine how much sugar was in the container at first, the following calculation must be performed:

880 + 1 / 10X = 3 / 7X

880 + 0.1X = 0.4285X

880 = 0.4285X - 0.1X

880 = 0.3285X

880 / 0.3285 = X

2,678.26 = X

Therefore, at the beginning there were 2,678.26 grams of sugar in the container.

Answer: 9

Step-by-step explanation:

[tex] \frac{3}{5} \times 16.1 = 9.66[/tex]

Answer:

108

Step-by-step explanation:

sum is a fancy word for add so 3+9=27 and 27*4=108

Answer:

The correct answer is "76.98%".

Step-by-step explanation:

According to the question,

⇒ [tex]P(34000<x<46000) = P[\frac{34000-40000}{5000} <\frac{x- \mu}{\sigma} <\frac{46000-40000}{5000} ][/tex]

                                       [tex]=P(-1.2<z<1.2)[/tex]

                                       [tex]=P(z<1.2)-P(z<-1.2)[/tex]

                                       [tex]=0.8849-0.1151[/tex]

                                       [tex]=0.7698[/tex]

or,

                                       [tex]=76.98[/tex]%

9514 1404 393

Answer:

  (-3, 3)

Step-by-step explanation:

The blanks are trying to lead you through the process of finding the point of interest.

__

The horizontal distance from T to S is 9 . (or -9, if you prefer)

The ratio you're trying to divide the line into is the ratio that goes in this blank:

Multiply the horizontal distance by 2/3 . (9×2/3 = 6)

Move 6 units left from point T.

The vertical distance from T to S is 6 .

Multiply the vertical distance by 2/3 . (6×2/3 = 4)

Move 4 units up from point T.

__

Point T is (3, -1) so 6 left and 4 up is (3, -1) +(-6, 4) = (3-6, -1+4) = (-3, 3). The point that is 2/3 of the way from T to S is (-3, 3).

Answer:

d

Step-by-step explanation:

75 per week,

after 13 weeks, 75*13 = 975

Answer:

No, the statement does not represent an exponential function.

Step-by-step explanation:

The population, y, starts with k wolves at year x = 0.

After 1 year, x = 1, the population, y, is k + 25.

After 2 years, x = 2, the population, y, is k + 50.

After 3 years, x = 3, the population, y, is k + 75.

The change each year is 25. For an equal change in x, 1, you get an equal change in y, 25. This is a linear function.

The function of the population is

y = 25x + k

Answer: No, the statement does not represent an exponential function.

Answer:

[tex]P(x=3)=0.2269[/tex]

Mean=2.1

Standard deviation=1.21

Step-by-step explanation:

We are given that

n=7

Probability of success, p=0.3

q=1-p=1-0.3=0.7

We have to find the probability of 3 success for the binomial experiment  and find the mean and standard deviation.

Binomial distribution formula

[tex]P(X=x)=nC_xp^{x}q^{n-x}[/tex]

Using the formula

[tex]P(x=3)=7C_3(0.3)^3(0.7)^{7-3}[/tex]

[tex]P(x=3)=7C_3(0.3)^3(0.7)^{4}[/tex]

[tex]P(x=3)=\frac{7!}{3!4!}(0.3)^3(0.7)^{4}[/tex]

[tex]P(x=3)=\frac{7\times 6\times 5\times 4!}{3\times 2\times 1\times 4!}(0.3)^{3}(0.7)^{4}[/tex]

Using the formula

[tex]nC_r=\frac{n!}{r!(n-r)!}[/tex]

[tex]P(x=3)=0.2269[/tex]

Now,

Mean, [tex]\mu=np=7\times 0.3=2.1[/tex]

Standard deviation, [tex]\sigma=\sqrt{np(1-p)}[/tex]

Standard deviation, [tex]\sigma=\sqrt{7\times 0.3\times 0.7}[/tex]

Standard deviation, [tex]\sigma=1.21[/tex]

Answer:

Step-by-step explanation:

Are you trying to find a variable expression? the product of 86 means multiplication so 86*n or 86n. Other than that I dont understand the question.