Which equation represents a line that has a slope of Negative one-half and passes through point (4, –5)? y = negative one-half x + three-halves y = negative one-half x + StartFraction 13 Over 2 EndFraction y = negative one-half x minus 7 y = negative one-half x minus 3

Answers

Answer 1

Answer:

y = (-1/2)x - 3

Step-by-step explanation:

Please present the equation symbolically instead of in words:

m = -1/2, passing through (4, -5):

Using the slope-intercept formula y = mx + b, and using m = -1/2, x = 4 and y = -5, we get:

-5 = (-1/2)(4) + b, or -5 = -2 + b.  Then b = -3 and the desired equation is:

y = (-1/2)x - 3

Answer 2

y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)

What is the equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given that a line has slope -1/2 and passes through point (4, -5)

The standard equation of a line is y = mx + c where m is the slope of the line.

Solving for c,

-5 = -1/2*4 + c

c = -3

Hence, y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)

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Related Questions

Find the area of the shaded polygons:

Answers

Answer:

9

Step-by-step explanation:

You could divide this into several smaller shapes, such as triangles and trapezoids.  But with this one, it might be simpler to count the full squares, half squares, and partial squares.

Full square - 4

Half squares - 3 ( for an area of 1.5)

Two squares divided in half - 2

Three squares divided in half - 1 (for an area of 1.5)

4+1.5+2+1.5=9

Answer:

9

Step-by-step explanation:

A simpler way of doing this is using pick's theorem.

Pick's theorem is:

i + b/2 - 1 which translates to: interior points + boundary points/2 - 1

Interior points: There is 5 interior points

Boundary points: There is 10 boundary points

 ---> 5 + 10/2 - 1

               = 9

Simplify the inequalities and match them with the graphs that represent them. x + 1 15 7x 12 arrowRight arrowRight arrowRight arrowRight Reset Next

Answers

Answer:

I dont quite understand the inequalities, I think it might be the way is shows up, bit the first graph represents x equals all numbers less than 6. The second graph is all numbers greater than 6. Third graph is all numbers less than 7. forth graph is all numbers greater than 7.

Step-by-step explanation:

If you want to give me a better representation of the inequalities, I would be more than happy to help you more!! :)

Hope this helps!!

Please help will mark brainly

Answers

Answer:

$3.50

Step-by-step explanation:

23.6÷4=5.90   5.90-2.40=3.50

Answer:

$3.50

Step-by-step explanation:

cost of beads - $2.40

cost of pendant - x

2.40(4) + 4x = $23.60

9.60 + 4x = $23.60

4x = $14

x = $3.50

Each pendant costs $3.50.

Hope this helps.

Kina is cleaning the tiles inside her pool today. The pool was 4/7 full of water at the
start of the day. She decided to drain half of the water out of the pool before she
started cleaning the tiles.
1) How full was the pool after Kira drained out half of the water?
2) If there was 1,000 gallons of water left in the pool, how many gallons did
Kina drain out of the pool?
3) How many total gallons of water can the pool hold?

Answers

Answer:

1)2/7

2) 500

3) 1,000

hope you like this answer

stay at home stay safe

keep rocking

1. 2/7
2. 500
3. 1,750

PLS HELP : D Each new triangle shown below has one more dot per side than the previous triangle. What is the total number of dots on the 200th triangle of this sequence?

Answers

Hey there!

Let's look for some patterns here.

In the first triangle, we see that there are six dots in total.

In the second triangle, there are nine dots in total.

And, for the third one, we see that there are 12 dots in total.

So, we see that it is counting up by threes because there is one more added to each side.

This is an arithmetic sequence, which means that there is a pattern of adding or subtracting from a base over and over again. There is a specific formula for calculating a certain term in a sequence and you can find proofs of it out there on the internet, but here is the formula.

To find a certain number in a sequence (in our case, 200), you

STEP 1: Take that certain number and subtract 1

200-1=199

STEP 2: You multiply this by the common difference, which is what you add or subtract to make the series. Since we keep on adding 3, our common difference is 3.

199×3=597

STEP 3: You add the first term in the series. In our case, this is the number of dots on the first triangle, which is six.

597+6=603

Therefore, the total number of dots on the 200th triangle of this sequence is 603 dots.

Now you can find a certain term in an arithmetic sequence! Have a wonderful day! :D

The volume of a soup can with height of 6 cm and diameter of 4.4 cm = ____________ cm3. Use 3.14 for pi.

Answers

Answer:

about 91.2 cm³

Step-by-step explanation:

Radius (r) = diameter / 2 = 4.4 / 2 = 2.2

Volume of cylinder = πr²h, we know π = 3.14, r = 2.2 and h = 6

V = 3.14 * 2.2² * 6 = 91.2

Answer:

91.2

Step-by-step explanation:

To find the volume you need to use the formula [tex]\pi r^2h[/tex]

When you substitute all of the numbers the answer will be 91.1856

Which of the following best describes the relationship between (x-3) and the
polynomial x3 + 4x2 + 2?

Answers

Answer:

c. (x-3) is not a factor.

Step-by-step explanation:

The ratio of the measures of the angles of a triangle is 3:2:1. Given that the shortest side of the triangle is 12 meters long, what is the number of meters in the longest side of the triangle?

Answers

Answer:

36 i think

Step-by-step explanation:

Answer:

14?

Step-by-step explanation:

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

Answers

Answer:

72cm2 (2 means squared)

Step-by-step explanation:

you add all the sides once you get the are for each side. To do that you multiply l(w)

Answer:

The surface area of the rectangular prism is [tex]136cm^{2}[/tex]

Step-by-step explanation:

What is surface area?

Surface area is the amount of space covering the outside of a three-dimensional shape.

What is rectangular prism?

A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid.

Given, length l= 7cm

          breadth b=6cm

          height h=2cm

The surface area of the cuboid is,

=2(lb+bh+lh)

=2(7*6+6*2+2*7)

=2(42+12+14)

=2*68

=136 [tex]cm^{2}[/tex]

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10. The easily accessible part of an emergency fund is
O cash
O credit cards
O savings
O CDs

Answers

Answer:Si está tratando de ahorrar dinero a través de un presupuesto pero todavía acarrea una deuda grande, comience por la deuda. ¿No está convencido? Sume cuánto gasta por mes en la manutención de la deuda y rápidamente se dará cuenta. Una vez que esté libre de pagar intereses sobre su deuda, ese dinero puede ahorrarse fácilmente. Una línea de crédito personal es solo una opción para consolidar la deuda, para poder cancelarla mejor.

Step-by-step explanation:

Answer: A. Cash

Cash is the most liquid, meaning that it can be accessed quickly and (nearly) everyone accepts it as payment. Though there are some vendors who only accept credit cards.

CD stands for Certificate of Deposit. This is like a savings account but with a higher interest rate. The catch is that the money must be locked into the account for a certain length of time. You cannot withdraw the money unless you want to incur a penalty.

please help on this question I will mark you as brainlist

Answers

Answer:

7, 10, 15, 22, .... 106

3, 12, 27, 48, .... 300

Step-by-step explanation:

Plug n as 1, 2, 3, 4, and 10 to find the terms.

(a)

1² + 6

1 + 6 = 7

2² + 6

4 + 6 = 10

3² + 6

9 + 6 = 15

4² + 6

16 + 6 = 22

10² + 6

100 + 6 = 106

(b)

3(1)²

3(1) = 3

3(2)²

3(4) = 12

3(3)²

3(9) = 27

3(4)²

3(16) = 48

3(10)²

3(100) = 300

Answer:

a) n²+6

U1 = 1²+6 = 1+6=7

U2= 2²+6 = 4+6 = 10

U3= 3³+6= 9+6= 15

U4= 4²+6= 16+6 = 22

U10= 10²+6 = 100+6= 106

So= 7, 10, 15, 22,... 106

b) 3n²

U1= 3(1)²= 3(1)= 3

U2= 3(2)²= 3(4) = 12

U3= 3(3)²= 3(9)= 27

U4= 3(4)²= 3(16)= 48

U10= 3(10)²= 3(100)= 300

So= 3, 12, 27, 48,..., 300

which equation is correct?



arccsc(x)=1/cos(x)

Answers

Answer:

arccsc(x)=1/cos(x)

Step-by-step explanation:

Answer:

the answer to your question is D

Step-by-step explanation:

Suppose a poll of 700 voters says that 45% of the voters will vote for Candidate A for president. Compute the 99% confidence interval

Answers

Answer: (0.4016, 0.4984).

Step-by-step explanation:

Let p be the proportion of voters will vote for Candidate A for president.

Formula for confidence interval for proportion:

[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

, here [tex]\hat{p}[/tex]= sample proportion

n= sample size.

z* =two-tailed critical z- value.

As per given, we have

n= 700

[tex]\hat{p}[/tex] = 0.45

Critical two-tailed z-value for 99% confidence interval = 2.576

Then, the required 99% confidence interval for p would be:

[tex]0.45\pm (2.576)\sqrt{\dfrac{0.45(1-0.45)}{700}}\\\\=0.45\pm(2.576)\sqrt{0.000353571428}\\\\=0.45\pm (2.576)(0.0188035)\\\\=0.45\pm0.04844\\\\=(0.45-0.048437,\ 0.45+0.048437)\\\\=(0.401563,\ 0.498437)\approx(0.4016,\ 0.4984)[/tex]

Hence, the required confidence interval (0.4016, 0.4984).

ASAP!! can someone help solve any of these? whoever answers the most gets brainliest, i underlined the questions

Answers

Answer:

can u please type out the photo is too dark to see the questions

Step-by-step explanation:

A principal of $4900 is invested at 4.75% interest, compounded annually. How much will the investment be worth after 7 years?
Use the calculator provided and round your answer to the nearest dollar.

Answers

Answer:

The investment will be worth $8,674 after 7 years.

brainliest?

(CORRECT ANSWER GETS BRAINLIEST) Drag each object to show whether distance is proportional to time in the situation represented.

Answers

Answer:

a horse running around a race track and

a person running down a field to score a touchdown

DONT HAVE ENOUGH INFORMATION

the two graphs are proportional to time and

a dog jumping at a constant speed for 20min and

a truck passing through 4 cities at a constant speed are not proportional to time because they are constant

Step-by-step explanation:

PLZ I WILL GIVE BRAINLIEST AND IT HAS 20 POINTS The volume of a cylinder is approximately 72 feet cubed. Which is the best approximation of the volume of a cone with the same base and height as the cylinder? 24 feet cubed 216 feet cubed 24 pi feet cubed 216 pi feet cubed

Answers

Answer:

24 feet cubed

Step-by-step explanation:

When comparing the volume formula for a cone and the volume formula for a cylinder, a cone is 1/3 of a cylinder. Therefore, divide 72 by 3 to get the volume of a cone with the same base and height. It would not be 24 pi feet cubed because 72 feet cubed is already multiplied by the pi.

Answer:

24 feet cubed

Step-by-step explanation:

Volume formula:

V cylinder = BhV cone = 1/3Bh

The ratio:

V cylinder / V cone = Bh ÷ 1/3BhV cylinder / V cone = 3 ÷ 1

Plugging in the value of cylinder to find the value of cone:

72 ÷ x = 3 ÷ 1x= 72 ÷ 3x= 24 ft³

24 feet cubed is the best estimate

The temperature at noon is -4 degrees Celsius. The temperature at 6:00 is -12 degrees Celsius. What is the difference between the noon and the 6:00 pm temperatures?

Answers

Answer:

-8 degrees

Step-by-step explanation:

12-4 is 8 so the difference is -8

There is a difference of 8 degrees Celsius.
-4-(-12)= 8

24 ÷ [ 33- (1+2)^2] = ?

21 + 3 (2-2^2) = ?

[(14+[tex]\sqrt 4[/tex])÷2^3] - 14 = ?

20 + [18÷(4+1)] - (3^2 + 2) = ?

please simplify the expressions using the proper order of operations.

Answers

Answer:

Below in bold.

Step-by-step explanation:

24 ÷ [ 33- (1+2)^2]

= 24 / ( 33 - 3^2)

= 24 / 24 = 1.

21 + 3 (2-2^2)

= 21 + 3(2 - 4)

= 21 + 3 * -2

= 21 - 6

= 15.

[(14+√4)÷2^3] - 14

= [ (14 + 2) / 8] - 14

= 16/8 - 14

= 2 - 14

= -12.

20 + [18÷(4+1)] - (3^2 + 2)

= 20 + [18÷ 5] - (9 + 2)

= 20 + 3.6 - 11

= 23.6 - 11

= 12.6.

The perimeter of a rectangle is 38 inches. If the length is 3 inches more than the width, find the width.​

Answers

Answer:

8 inches

Step-by-step explanation:

For this the length is 11 inches, and when u subtract 3 from that you get 8. 11×2 is 22, 8×2 is 16

22+16=38

Answer:

8 inches

Step-by-step explanation:

P = 2w + 2l

l = w + 3

38 = 2w + 2(w + 3)

38 = 2w + 2w + 6

38 - 6 = 4w

4w = 32

w = 32 : 4

w = 8 inches

WILL MARK BRAINLIEST! Which of the following is a discrete random variable? a) length of time you play in a baseball game b) length of a car c) volume of water in a tank d) number of candies in a box

Answers

Answer:

d.which is number of candle's in a box

Answer:

number of candies in a box

Step-by-step explanation:

30 points will give brainliest if correct Please Answer an industrial copy machine

Answers

Answer:

f(x) = 16 * ( 3/4) ^x

Step-by-step explanation:

y = a ( b) ^x

where a is the initial value and b is the growth rate

We know when x =0 y = 16

and when x = 1 y = 12

16 = a * b^0

16 = a * 1

a = 16

So the initial value is 16

12 = 16 * b^ 1

Divide each side by 16

12/16 = b^1

3/4 = b

y = 16 * ( 3/4) ^x

Greetings from Brasil...

In the statement are given 2 moments:

X = 0 ⇒ F(0) = 16

and

X = 1 ⇒ F(1) = 12

F(X) = a . bˣ

F(0) = a . b⁰

16 = a . 1

a = 16

F(X) = a . bˣ

F(1) = a . b¹         a=16  calculated above

12 = 16 . b

b = 12/16

b = 3/4 = 0,75

so,

F(X) = 16 . (3/4)ˣ

Plz help me plzzzzzz 64=8c

Answers

Answer:

c=8

Step-by-step explanation:

do find c, we do 64/8=8. We can check our work by doing 8*8 which is in fact 64

c would be 8! hope this helped

The graph represents measurements that Mack took in science class. Which units of measure could be related to this graph? A) x = yards and y = feet B) x = cups and y = ounces C) x = feet and y = inches D) y = pounds and y = ounces

Answers

Answer:

it's too late it's been 2years

HELP PLZZ!! Joe performed an experiment with a spinner. He spun the spinner and recorded the results in the frequency table. The spinner and the frequency table are given below. Find the experimental probability of the spinner landing on yellow or orange.

Answers

Answer:

7/13

Step-by-step explanation:

add all outcomes: 8 + 6 + 5 + 7 = 26

landing yellow or orange: 8 + 6 = 14

14/26 simplified 7/13

The Experimental probability of the spinner landing on yellow or orange is 7/13.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Yellow= 8

Orange = 6

Red= 5

Blue = 7

Total = 8+6+5+7= 26

So, the Experimental probability of the spinner landing on yellow or orange.

= 8/26 + 6/16

= 14/16

= 7/13

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SOMEONE PLEASE HELP A GIRL OUT BRAINLIEST! The diameters of Breaburn apples are normally distributed with a mean of 8.2cm and a standard deviation of 2.8cm. If you had a shipment of 2000 apples, how many apples would have a diameter: a) smaller than 5.9cm? b) larger than 10.2cm?

Answers

Answer:

a. 0.2061*2000 apples = 412.20 or about 412 apples.

b. 0.2389*2000 apples = 477.8 or about 478 apples.

Step-by-step explanation:

We have to find the corresponding probabilities using the standard normal table (or also we can use statistics software for doing this).

The parameters for this normal distribution are (without using units):

The mean, [tex] \\ \mu = 8.2[/tex].

The standard deviation, [tex] \\ \sigma=2.8[/tex]

We need to use z-scores, given by:

[tex] \\ z = \frac{x-\mu}{\sigma}[/tex]

For a diameter smaller than 5.9cm, we have:

[tex] \\ z = \frac{5.9-8.2}{2.8}[/tex]

The value for z:

[tex] \\ z = -0.82142 \approx -0.82[/tex]

Then, find the cumulative probability for this z, P(z<-0.82), using the standard normal table (for this, use -0.8 (in right column), and -0.02 in the first row of the table).

Then, P(z<-0.82) = 0.2061

How many apples would have a diameter: a) smaller than 5.9cm?

The answer is 0.2061*2000 apples = 412.20 or about 412 apples.

How many apples would have a diameter: b) larger than 10.2cm?

We can proceed similarly as before. Calculate z, find the cumulative probability using the standard normal table.

[tex] \\ z = \frac{10.2-8.2}{2.8}[/tex]

[tex] \\ z = 0.71428 \approx 0.71[/tex]

Then, P(z<0.71) = 0.7611

But we are asked for P(z>0.71), then (because of the symmetry of the normal distribution):

P(z>0.71) = 1 - P(z<0.71)

P(z>0.71) = 1 - 0.7611

P(z>0.71) = 0.2389

The answer is 0.2389*2000 apples = 477.8 or about 478 apples.

A line passes through the point (2,-5) and is perpendicular to the line with the
equation y= 1/5x+ 5. What's the equation of the line?
OA) y = -1/5X + 1
B) y = -5x + 5
OC) y = 5x - 2
D) y=1/5x+4

Answers

Answer: B) y = -5x+5

slope = -5, y intercept = 5

===========================================

Explanation:

The given equation has slope 1/5. We can see that by comparing it to y = mx+b, with m as the slope.

Flip the fraction and the sign to go from 1/5 to -5/1 = -5. The perpendicular slope is -5. We can stop here since only choice B has such a slope.

---------------

If you're curious about finding the y intercept, then you would use m = -5 along with (x,y) = (2,-5) to find the value of b

y = mx+b

-5 = -5(2)+b

-5 = -10+b

-5+10 = -10+b+10 ... adding 10 to both sides

5 = b

b = 5 is the y intercept

So we have y = mx+b update to y = -5x+5 as the perpendicular line.

Answer:

[tex]y = - 5x + 5[/tex]

Step-by-step explanation:

[tex]y = \frac{1}{5} x + 5 \\ m = \frac{1}{5} \\ m1 = \frac{ - 1}{m2} [/tex]

.

[tex] \frac{1}{5} = \frac{ - 1}{m2 } \\ m2 = - 5 \\ x = 2 \: y = - 5 \\[/tex]

[tex] y = mx + c \\ - 5 = - 5(2) + c \\ - 5 = - 10 + c \\ - 5 + 10 = c[/tex]

[tex]c = 5 \\ m = - 5 \\ y = mx + c \\ y = - 5x + 5[/tex]

Practice: Assignment, Help is appreciated! I will mark brainliest for correct answers! :)​

Answers

Answer:

19:36.83 or 37        20:4.5

Step-by-step explanation:

Answer:

For #19, it would probably be around 37

For #20, it would be 4.5.

Step-by-step explanation:

For #19, the mean is 36.83333.... so a reasonable prediction would be about 37 ˚C.

For #20, the list would be in this order:

3.2, 3.9, 4.5, 4.6, 5.5, 6.5, 8.7, 9.1

So, the 3rd value is 4.5.

The senior class at High School A and High School B is planning seperate trips to the local museum. The senior class at High School A rented and filled 13 vans and 1 bus with 184 students. High School B rented and filled 10 vans and 10 buses with 520 students. Every van and every bus had the same number of students in it. How many students can a van carry? How many students can a bus carry?


Based on my answer, each van can carry students and each bus can carry students

Answers

Answer:

Number of students van can carry = 11

Number of students bus can carry = 41

Step-by-step explanation:

Given the following :

HIGH SCHOOL A:

Number of students = 184

Number of vans(v) = 13

Number of buses(b) = 1

Mathematically,

13v + 1b = 184 - - - - (1)

HIGH SCHOOL B:

Number of students = 520

Number of vans(v) = 10

Number of buses(b) = 10

Mathematically,

10v + 10b = 520 - - - - (2)

Multiply (1) by 10 and (2) by 1

130v + 10b = 1840 - - - (3)

10v + 10b = 520 - - - (4)

Subtract (4) from (3)

120v = 1320

v = 11

Substitute v = 11 into (1)

13(11) + 1b = 184

143 + b = 184

b = 184 - 143

b = 41

Number of students van can carry = 11

Number of students bus can carry = 41

Given the table of values, determine the base for the exponential function. x y −2 −1 0 1 1 9 2 81

Answers

Answer:

81

Step-by-step explanation:

Other Questions
A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between times of maximum brightness is 5.7 days. The average brightness of this star is 5.0 and its brightness changes by 0.25. In view of these data, the brightness of the star at time t, where t is measured in days, has been modeled by the function B(t) = 5.0 + 0.25 sin 2t 5.7 .Find the rate of change of the brightness after t days. change in to passive . the question is ,someone is helping her with the housework If an X-ray beam of wavelength 1.4 10-10 m makes an angle of 30 with a set of planes in a crystal causing first order constructive interference, what is the plane spacing? Charlie's adjusted basis in S corporation stock was $12,000. His share of S corporation losses was $22,000. How much of the loss clears the basis limitation and what is the treatment of the remaining loss (if any) Suppose you deposit nothing at the beginning and instead you divide up the $600 into 12 envelopes each with $50. Find the balance after one year if you deposit one $50 envelope each month, all year, into an account that pays 5% APR with monthly compounding. The Antifederalists Group of answer choices feared that the government favored common people over the "well-born." saw themselves as defenders of the principles of the American Revolution and feared that the government favored common people over the "well-born." saw the power of the southern states as the chief obstacle to an effective new government. feared that the new government would be too weak to enforce its new powers. saw themselves as defenders of the principles of the American Revolution and feared that the new government would widely abuse its powers. Investments are different from savings accounts in that they A. Offer high profit potential B. Are FDIC-insured C. Guarantee to never lose money D. Can only be accessed online Diana wants to see if heat causes happiness. She asks 100 participants to come to the laboratory, and as they walk in, she asks each person to choose a warm booth or a cool booth. On the basis of their choices, participants spend 20 minutes in one or the other booth before rating their levels of general happiness. What's wrong with Diana's experiment? Equal rights among genders means women shouldnt be treated any better than men. (This is in the kind words of Kazuma)True or False? Beck Inc. and Bryant Inc. have the following operating data:__________.Beck Inc. Bryant Inc.Sales $1,250,000 $2,000,000 Variable costs 750,000 1,250,000Contribution margin $500,000 $750,000 Fixed costs 400,000 450,000Income from operations $100,000 $300,000 a. Compute the operating leverage for Beck Inc. and Bryant Inc. If required, round to one decimal place.Beck Inc. Bryant Inc. b. How much would income from operations increase for each company if the sales of each increased by 20%? If required, round answers to nearest whole number.Dollars PercentageBeck Inc. $ %Bryant Inc. $ %c. The difference in the of income from operations is due to the difference in the operating leverages. Beck Inc.'s operating leverage means that its fixed costs are a percentage of contribution margin than are Bryant Inc.'s. The diagram shows a right triangle and three squares. The area of the largest square is 55 units.Which could be the areas of the smaller squares?Choose all answers that apply:A12 and 43B14 and 4016 and 37 Unpolarized light passes through a vertical polarizing filter, emerging with an intensity I0. The light then passes through a horizontal filter, which blocks all of the light; the intensity transmitted through the pair of filters is zero. Suppose a third polarizer with axis 45 ? from vertical is inserted between the first two. What is the transmitted intensity now? Express your answer in terms of I0. I got I0/8. But this is not right. I guess they want a number? I have a lot of questions like this, and I know the formula but I still get it wrong! In the case of Confidence Intervals and Two-Tailed Hypothesis Tests, the decision rule states that: Reject H0 if the confidence interval ______ contain the value of the hypothesized mean mu0. A solid square pyramid has a mass of 750 g. It is made of a material with adensity of 8.05 g/cm'. Given that the height of the pyramid is 13.5 cm, find thelength of its square base. Angle 6 and 7, are complementary angles? Colin thinks of a new concept for a palm-sized computer notebook. He also thinks of a new, faster process for producing the notebooks. Federal copyright law protects:______ Richards Corporation uses the weighted-average method of process costing. The following information is available for October in its Fabricating Department: Units: Beginning Inventory: 100,000 units, 80% complete as to materials and 25% complete as to conversion. Units started and completed: 290,000. Units completed and transferred out: 390,000. Ending Inventory: 40,000 units, 40% complete as to materials and 10% complete as to conversion. Costs: Costs in beginning Work in Process - Direct Materials: $57,200. Costs in beginning Work in Process - Conversion: $99,700. Costs incurred in October - Direct Materials: $828,520. Costs incurred in October - Conversion: $939,300. Calculate the cost per equivalent unit of materials. can someone please answer this question as a simplified fraction. NEED ASAP!! BRAINLIEST 100 POINTS Economics Imagine you are a researcher with a pharmaceutical company who has just discovered a new drug that may potentially cure Ebola. Compose a three-paragraph memo to the chief executive officer of the company that addresses these aspects of the situation: Summarize the situation in West Africa, including the impact on the economies of the affected countries and the resources that are scarce. Discuss the resources you have used to discover the drug or will need to continue producing it. (Take an educated guess at what you will need for this part, just be sure to classify your needs into the proper factor of production.) Discuss the opportunity cost to the company in devoting more resources to the production and distribution of the new drug. Applying your knowledge of the factors of production and PPCs, explain the impact that your drug could have on the economies of countries in West Africa affected by the Ebola virus.