Question 10 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
5
(-3,1)
(0,0)
5
-5
O A. y=-x
O B. y= 3x
O C. y=1
Х
O D. y= x
O E. y=-3x
O F. y = x

9514 1404 393

Answer:

  12 square inches

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2bh

Here, the base is 6 inches and the height is given as 4 inches. Then the area is ...

  A = (1/2)(6 in)(4 in) = 12 in²

The area of the triangle is 12 square inches.

_____

Comment on the problem

Since you are given the base and height, we presume you are intended to use the formula above. You are also given all three side lengths. If you use the appropriate formula with those, you find the area is about 15.6 square inches. (The height of this triangle is actually closer to 5.2 inches.)

The figure represents a geometry that cannot exist. With the given base and height, the side lengths should be 5, not 6.

the area of the region bounded by the graphs of y = x - 2 and [tex]y^2 = 2x - 4[/tex], is 0.67.  Option D

To find the area of the region bounded by the graphs of y = x - 2 and[tex]y^2 = 2x - 4,[/tex]we need to determine the points of intersection between the two graphs and then integrate the difference between the two functions within the bounds.

Let's begin by finding the points of intersection:

Setting the two equations equal to each other, we have:

x - 2 = 2x - 4

Simplifying the equation, we get:

x = 2

Substituting x = 2 into either equation, we find the corresponding y-value:

y = 2 - 2 = 0

So the points of intersection are (2, 0).

Now, we need to determine the bounds for integration. The graphs intersect at x = 2, so the region of interest lies between x = 0 and x = 2.

To find the area, we integrate the difference between the two functions within these bounds:

A = ∫[0,2] (x - 2 - √(2x - 4)) dx

We can simplify this equation as follows:

A = ∫[0,2] (x - 2 - (2x - 4)^(1/2)) dx

= ∫[0,2] (x - 2 - (2(x - 2))^(1/2)) dx

= ∫[0,2] (x - 2 - 2(x - 2)^(1/2)) dx

To evaluate this integral, we need to use numerical methods or software. Integrating the equation within the bounds gives us an area of approximately 0.67 sq. units.Therefore, the correct answer is Option D

For more question on area visit:

https://brainly.com/question/2607596

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Answer:

7.9 + x because all the others are equal to.each other

Answer:

Let x=sinθ

2sin²θ = 5sinθ - 3

2x²=5x-3

2x²-5x+3=0

(2x-3)(x-1)=0

2x-3=0 or x-1=0

x=3/2 or x=1

sinθ=2/3 or sinθ=1

θ=arcsin(2/3) or θ=arcsin(1)

θ=0.729727656 or θ=1.57079633=π/2

Answer:

8

Step-by-step explanation:

I can't see the pic.

Answer:

you made 600 profit

Step-by-step explanation:

2000-400=1600

1600+1000=2600

2600-2000=600

Answer: 2600

Step-by-step explanation:

2000 - 400 = 1600 + 1000 = 2600

Answer:

At 2:00.

Step-by-step explanation:

You take 10 minutes off 2:50 for play time add the two 20s together then subtract 40 to get 2:00.

Answer:

This is actually easy.

You need to multiply the term outside the bracket with the ones in the bracket (I hope I make sense lol)

Answer is 50 + 10n

Answer:

TRUE

Step-by-step explanation:

Answer:

a=8 b=3/2

Step-by-step explanation:

so here a is the initial value which 8

then we can plug in 2 for x and 18 for f(x) to find b

f(x)=8*b^x

18=8*b^2

18/8=b^2

9/4=b^2

b^2=(3/2)^2

b=3/2

Answer:10 2/3 feet

Step-by-step explanation: 8 times 4/3= 32/3=10 2/3 feet

Answer:

Okay ill do it from the ones given

Verbal Description:

Well it seems like Mike is charging a one time fee of 50 dollars each no matter what and after that its 30 dollars per hour.

Equation:

Assuming X is hours and C is total cost

50+30x= C

Table: (this will be in the order of hours, process and total)

0- (50+30*0) -0

1- (50+30*1) -80

2- (50+30*2) -110

3- (50+30*3) -140

4- (50+30*4) -170

5- (50+30*5) -200

6- (50+30*6) -230

Graph:

There are no instructions or questions for graph but if there is let me know in the comments

Questions:

#1) The rate of change for the graph is 30 dollars per hour or 30/1. Since for every hour its +30 plus the one time fee.

#2) The y-intercept here is 50 or in this case the one time payment fee.

Answer:

y=x^2

Step-by-step explanation:

Answer:

me

Step-by-step explanation:

becaus im the bes guy

Answer:

The missing number would be 17

Step-by-step explanation:

Answer: I think it’s 7

Step-by-step explanation:

Answer:

A. True

Step-by-step explanation:

I majored in Mathematics

Answer: interest rate was 6.7 %

Step-by-step explanation: 402/6000 = 0.067 = 6.7%

Answer:

15!

Step-by-step explanation:

296-251= 45

45÷3= 15 weeks

hope this works and is correct!

Answer:

[tex]cotθ = \frac{7 \sqrt{51} }{51} [/tex]

[tex]sinθ = \frac{ \sqrt{51} }{10} [/tex]

[tex]cscθ = \frac{10 \sqrt{51} }{51} [/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

B) -2/9

Step-by-step explanation:

2/3 ÷ -3 = 2/3 * 1/-3

2*1 / -3*3

2/-9

-2/9

Answer: D

Step-by-step explanation:

The shape, mean, and standard deviation of the sampling distribution of the difference in the two sample proportions is Shape = skewed right, mean = 0.35, standard deviation = 0.05.

In statistics, the standard deviation of a random variable, data is the square root of its variance.

An electronic prize wheel is programmed to land on "win” 25% of the time on weekdays and 10% of the time on weekends, and consecutive plays produce winners independently.

A random sample of 50 outcomes from this machine on a weekday and 100 outcomes from this machine on a weekend.

[tex]P_{1} = 25%\\ =0.25\\P_{2} = 0.10\\[/tex]

[tex]n_{1} = 50\\n_{2} =100[/tex]

Let x be a random variable for weekdays

[tex]x= N[0.25, 0.25\times(1-0.25)/50]\\x = N[0.25, 0.00375][/tex]

Let y be randomly variable for weekdays

[tex]Y= N[0.10, 0.10\times(1-0.10)/100]\\Y= N[0.10, 0.0009][/tex]

Thus, the shape, mean, and standard deviation of the sampling distribution of the difference in the two sample proportions is Shape = skewed right, mean = 0.35, standard deviation = 0.05.

Learn more about standard deviation;

https://brainly.com/question/11078015

Answer:

The answer is 39.

Step-by-step explanation:

The average is the total amount of blood tests divided by the number of days.

Total: 36 + 43 + 29 + 48 = 156 blood tests / 4 days =  39 blood tests per day.

Answer:

The annual percentage yield is of 2.78%.

Step-by-step explanation:

Annual percentage yield of an account:

The annual percentage yield of an account compounded n times during the year with a decimal interest rate of r is given by:

[tex]Y = (1+\frac{r}{n})^n - 1[/tex]

Pays 2.75% compounded quarterly

This means that [tex]r = 0.0275, n = 4[/tex]. So

[tex]Y = (1+\frac{r}{n})^n - 1[/tex]

[tex]Y = (1+\frac{0.0275}{4})^4 - 1[/tex]

[tex]Y = 0.0278[/tex]

0.0278 = 2.78%

The annual percentage yield is of 2.78%.

Answer:

$440

Step-by-step explanation:

40x11=440

hope it helped

plz mark me as brainliest.

Answer: 47 and 48

Step-by-step explanation: 10/21 ≈0.476190476 and multiplied by a 100 to get a percentage is ≈ 47.6 which is in between 47 and 48. Hope this helps, and have a great day!

Answer: 47%

Step-by-step explanation:

half of 20 is 10 so half of 21 is 10.5

Answer: 3.19

Step-by-step explanation:

So to find the average I used a simple but pretty effective method

3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+8/26=3.1923

So the new average is 3.19