Answer:
A lot :) hahdinshsiskvshsknsvsudkdnhdjdjdd

Look at the picture below

Suppose that the local sales tax rate is 5 %and you purchase a car for $ 27,400.a. How much tax is paid?b. What is the car's total cost?

Determine whether the lines L1 and L2 are parallel, skew, or intersecting. L1:x=9+6t,y=12-3t,z=3+9t L2:x=4+16s, y=12-8s, z=16+20s parallel skew intersecting If they intersect, find the point of intersection. (If an answer does not exist, enter DNE.)

Two fair dice are tossed, and the following events are defined: A: {Sum of the numbers showing is odd} B: {Sum of the numbers showing is 9,11, or 12} Are events A and B independent? Why?

Find the slope that goes through the ordered pairs (-4,8)(6,8)

Suppose that the local sales tax rate is 5 %and you purchase a car for $ 27,400.a. How much tax is paid?b. What is the car's total cost?

Determine whether the lines L1 and L2 are parallel, skew, or intersecting. L1:x=9+6t,y=12-3t,z=3+9t L2:x=4+16s, y=12-8s, z=16+20s parallel skew intersecting If they intersect, find the point of intersection. (If an answer does not exist, enter DNE.)

Two fair dice are tossed, and the following events are defined: A: {Sum of the numbers showing is odd} B: {Sum of the numbers showing is 9,11, or 12} Are events A and B independent? Why?

Find the slope that goes through the ordered pairs (-4,8)(6,8)

Which equation models the data in the table?

y = 6 sine (StartFraction pi Over 6 EndFraction x) + 2

y = 6 sine (StartFraction pi Over 6 EndFraction x) + 4

y = 4 sine (StartFraction pi Over 6 EndFraction x) + 6

y = 4 sine (StartFraction pi Over 6 EndFraction x) + 10

Modeling the data in the table is done via the **equation **y = 4 sine (pi/6x) + 6.

Over a **period **of years, a **cyclical pattern **recurs with considerable regularity. **Cyclical patterns **are distinct from seasonal patterns in that they last across a number of years as opposed to only one year for seasonal trends.

Given, The table shows the height of water in feet at different times. The water rises and falls in a **cyclical pattern**.

Table:

12 AM 6

3 AM 10

6 AM 6

9 AM 2

12 PM 6

from the general formula of wave

y = A sin(bx + c)

Substituting values in the **equation **from the graph attached below:

6 = A sin(0*b + c)......(1)

10 = A sin3b + c...(2)

6 = A sin6b + c......(3)

2 = A sin9b +c........(4)

Since -c/b is a **phase shift** of the graph

Thus

-c/b = 6

c = -6b

from **equations **2 and 1

2* 6 = Asin(-3b) = -Asin3b

2 * 6 = Asin(-6b) = -Asin6b

2* 6/6 =sin6b/sin3b

1 = Cos3b

Thus b = π/6

from substitution in **equations **3

6 = A sin6b + c

=> 6 = Asin 6* pi/6 + c

=> c = 6

from substitution in **equations **2

10 = A sin3b + c

A = 4

therefore, The **equation **that models data in the table is y = 4 sine (pi/6x) + 6.

Learn more about **cyclic patterns **here:

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**Answer:**

c

**Step-by-step explanation:**

**Answer:**

2

**Step-by-step explanation:**

First you must use distributive property on the numberator. You multiply 4 with 8, then 4 with 2. It will look like this: 32-8. Then you solve, it equals 24. Then add the denominator, which equals 12. Lastly, divide 24 by 12, which gets you 2.

**Answer:**

2

**Step-by-step explanation:**

4(8-2)/3+9

First subtract 8 by 2

8-2=6

4(6)/3+9

Now multiply 4 and 6

4(6)=24

24/3+9

now add 3 and 9

3+9=12

24/12

now divide the top by the bottom

24/12=2

Hope This Helps :)

Perimeter = 126 cm, area = 972 cm2

Perimeter = 46 cm, area = 972 cm2

Perimeter = 126 cm, area = 131.25 cm2

Perimeter = 46 cm, area = 131.25 cm2

Perimeter = 126 cm, area = 972 cm2

Perimeter = 46 cm, area = 972 cm2

Perimeter = 126 cm, area = 131.25 cm2

**Answer:**

Perimeter = 126 cm, area = 972 cm2

**Step-by-step explanation:**

__Rectangle perimeter:__

- P = 2(w + l)

__Rectangle area:__

- A = wl

When scaled, the perimeter will change by same factor but the area by the square of same factor.

Applying to the given rectangle

__Perimeter:__

- P = 2(6 + 8)(4.5) = 126 cm

__Area:__

- A = 6*8*4.5² = 972 cm²

**Correct choice is B**

**Answer:**

Perimeter = 126cm

Area = 972cm^2

**Step-by-step explanation:**

6*4.5 = 27

8*4.5 = 36

Perimeter = 27*2+36*2= 126 cm

Area = 27*36 = 972 cm^2

**Hope this helped!**

2. Compute the value of the test statistic. z=______

3. Determine the critical value(s).

4._________ the null hypothesis. At the 10% significance level, the data____________sufficient evidence to conclude that adult females are ___________ the RDA of iron, on average.

**Answer:**

**Step-by-step explanation:**

Given that the recommended dietary allowance (RDA) of iron for adult females is 18 milligrams (mg) per day. The given iron intakes (mg) were obtained for 45 random adult females.

1)

(left tailed test at 10% sigl level)

Mean difference = -3.35

2) Test statistic Z = Mean difference/std error =-5.35

3) Critical values are -1.28

Since critical value is > test statistic accept H0

4) ___Fail to reject______ the null hypothesis. At the 10% significance level, the data_____shows_______sufficient evidence to conclude that adult females are ____equal to 18 mg_______ the RDA of iron, on average.

It can be written as 5 x 10^ -11 or 0.5 x 10^ -10

Hope it helps.

The **equation **of the **circle **with the given center and radius is x²-2x+y²+10y-74=0.

The **equation **of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a **circle**.

The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²

Given that, the center of a circle is (1, -5) and the radius is 10 units.

Now, equation of a circle is

(x-1)²+(y+5)²=10²

x²+1-2x+y²+25+10y=100

x²-2x+y²+10y+26=100

x²-2x+y²+10y-74=0

Therefore, the **equation **of the **circle **with the given center and radius is x²-2x+y²+10y-74=0.

To learn more about an **equation of a circle **visit:

brainly.com/question/23799314.

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(x-1)^2 + (y+5)^2 =100