1. According to a recipe for cooking roast beef, it takes 3/4 hour for each pound of beef in an oven heated
to 325 Fahrenheit. How long should it take to cook a roast that weighs 12 pounds?

B)  16, -8, 4, -2, 1

C) -15, -18, -21.6, -25.92, -31.104

E) 625, 125, 25, 5, 1

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Explanation:

Part (A)

Divide each term over its previous term. If each result is the same, then we have a geometric sequence.

(term2)/(term1) = (-4)/(-2) = 2

(term3)/(term2) = (-6)/(-4) = 1.5

We can stop here since we got a different result.

This sequence is not geometric.

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Part (B)

Same idea as part (A)

(term2)/(term1) = (-8)/16 = -0.5

(term3)/(term2) = 4/(-8) = -0.5

(term4)/(term3) = (-2)/4 = -0.5

(term5)/(term4) = 1/(-2) = -0.5

We get the same result each time. The common ratio is r = -1/2 = -0.5. This sequence is geometric.

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Part (C)

(term2)/(term1) = (-18)/(-15) = 1.2

(term3)/(term2) = (-21.6)/(-18) = 1.2

(term4)/(term3) = (-25.92)/(-21.6) = 1.2

(term5)/(term4) = (-31.104)/(-25.92) = 1.2

This sequence is geometric since each result is the same. The common ratio is r = 1.2

note: 6/5 = 1.2

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Part (D)

(term2)/(term1) = (10.5)/4 = 2.625

(term3)/(term2) = (17)/(10.5) = 1.619

We don't get the same result, so we can stop here. This sequence is not geometric.

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Part (E)

(term2)/(term1) = (125)/(625) = 0.2

(term3)/(term2) = (25)/(125) = 0.2

(term4)/(term3) = (5)/(25) = 0.2

(term5)/(term4) = (1)/(5) = 0.2

The common ratio is r = 0.2 or r = 1/5

This sequence is geometric.

Answer:

C) -15, -18, -21.6, -25.92, -31.104

E) 625, 125, 25, 5, 1

Step-by-step explanation:

The scenario that could be represented by this graph is option: 3.

The rate of change of height represents the change in height with time.

Here, the given graph represents:

For some time the water level of the Humpy Dam doesn't change.

After a heavy rain spell, the water level rises, increasing at a constant rate.

After the rain subsides, it levels off again.

Here, the x-axis represents time and the y-axis represents the height of the water behind the dam.

The water height behind the dam was constant for a certain period. After rainfall, the height of the water increased at a constant rate. When the rain stopped, the water height behind the dam is constant at a newer height.

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Answer:

The dimensions of rectangle are:

Step-by-step explanation:

Let 'l' be the length and 'w' be the width of the rectangle

so

[tex]l=2w-3[/tex]

Also, the area of the rectangle is 27ft^2.

[tex]A=27\:ft^2[/tex]

As the area of the rectangle has the formula:

[tex]\:A\:=\:l\times w[/tex]

so

[tex]27=\:l\times w[/tex]

so the equation becomes

[tex]27=\left(2w-3\right)\times \:w[/tex]

[tex]27=2w^2-3w[/tex]

[tex]2w^2-3w-27=0[/tex]

[tex]\left(w+3\right)\left(2w-9\right)=0[/tex]

if   [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]w+3=0\quad \mathrm{or}\quad \:2w-9=0[/tex]

[tex]w=-3,\:w=\frac{9}{2}[/tex]

as the width can not be negative, so

[tex]w=\frac{9}{2}=4.5[/tex] ft

As

[tex]l=2w-3[/tex]

[tex]l=2\left(4.5\right)-3[/tex]

[tex]l=9-3[/tex]

[tex]l=6[/tex]

So the dimensions of rectangle are:

Answer:

3 3/18

Step-by-step explanation:

I did this on paper, but im typing on computer, sorry I cant send a photo

Answer:

D is the answer 3 3/18 i am sure it is correct

Answer:

l = w + 3cm

l = w + 3cmp = 2l + 2w = 58cm

l = w + 3cmp = 2l + 2w = 58cm

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:l = (13cm) + 3cm = 16cm

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:l = (13cm) + 3cm = 16cmStep-by-step explanation:

I hope this helps you.

If the measure of the width is 21 inches. Then the measure of the length of the rectangle will be 66 inches.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches.

Then the length of the rectangle will be

We have

L = 3W + 3

Then the perimeter will be

   P = 2(L + W)

174 = 2 (3W + 3 + W)

87 = 4W + 3

84 = 4W

 W = 21 inches

Then the length will be

L = 3W + 3

L = 3 x 21 + 3

L = 63 + 3

L = 66 inches

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Answer:

I think its the fourth one sorry if I am wrong

Step-by-step explanation:

Answer:

360º

Step-by-step explanation:

too easy

Answer:

360

Step-by-step explanation:

I had it on a quiz also plz mark brainliest im trying to level up

Answer:

1/21

Step-by-step explanation:

Answer:

1/21

Step-by-step explanation:

6/126 = 1/21 because 6 divided by 6 equals 1 and 126 divided by 6 equals 21.

Answer:

m= 1

Step-by-step explanation:

find to ordered pair on the graph and [tex]y^{1} - y^{2} \\ x^{1} - x^{2}[/tex]

Answer:

2 2/3 or 2.6... in decimal

Step-by-step explanation:

4*2 = 8

8/3 = 2 2/3

Answer:

(-1,1)

Step-by-step explanation:

also use elimination steps by using simultaneous

Answer:

-48

Step-by-step explanation:=-48

The mean profit of the fruits will be $75.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is just like an average it is calculated by taking the ratio of the sum of all the numbers to the total count of the numbers.

Given that the weekly profit of the fruits is $125, $86, $54, and $35. The mean will be calculated as:-

Mean = ( 125 + 86 + 54 + 35 ) / 4

Mean = 300 / 4

Mean = $75

Therefore, the mean profit of the fruits will be $75.

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Answer:

Step-by-step explanation:

In as much as I might give a warning on not to doubt oneself, I also need to put out what one should take note of when solving quadratic problems.

Using the general formula, it's of utmost importance to not mix the variables together. Remember, making "a", "b" and "b", "a" will lead to an entirely different answer, which is most likely wrong anyway.

It's important to take note of the signs too. Remember, the formula say,

-b ± √(b² - 4ac) / 2a

The first b is negative, and that means a negative value will turn positive there. These are very trivial steps, but they can also make or mar our efforts in getting the correct answer

Step-by-step explanation:

sas

side angle side

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Answer:

The customary system states that one pound is equivalent to sixteen ounces(oz).

Step-by-step explanation:

Since the package is one pound, it contains sixteen ounces(oz).

Answer:

y= -2/3x-1

Step-by-step explanation:

Hope this helps!

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

-2/3 is -.666

-3/5 is -.60

1/2 is .5

and 5/8 is a little more than half since 4/8 is half. so -2/3, -3/5, 1/2, 5/8, or D

Answer:

tesrdxtcfygvoubucewh cwcs wuehcbwch w

Step-by-step explanation:

w edch dwjbsxchwej chwxc

Answer:

kjj ,mStep-by-step explanation:

Answer:

We know that:

1/5 = 0.2 of all adults in US have type O blood.

Then: 4/5 = 0.8 of all adults in US do not have type O blood.

a)  All four are type O.

Let's think this, as four events with two possible outcomes, having type O blood, with a probability of 0.2, and not having type O blood with a probability of 0.8

Now if we want the four people to have type O blood, then we have the outcome with probability 0.2 four times, and as we know, the joint probability is equal to the product of the individual probabilities:

P  =0.2^4 = 0.0016

b) None of them is type O.

Similar to the above case, but this time we work with four times the probability 0.8

P = 0.8^4 = 04096

c) Two of the four are type O.

Here we will have two times the probability 0.2, and two times the probability 0.8.

p = 0.2^2*0.8^2

But, if the people is ordered, the two persons with type O blood can be:

first and second

first and third

first and fourth.

second and third

second and fourth

third and fourth.

6 different combinations, then the actual probability for this case will be:

P = 6*p = 6*(0.2^2*0.8^2) = 0.1536

The probability of All four are type O, None of them is type O, and Two out of the four are type O is 0.0016, 0.4096, and 0.0256 respectively.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

About 1/5 of all adults in the United States have type O blood.

p = 0.2

q = 1 - p = 1 - 0.2 = 0.8

a. All four are type O. The probability will be

P = p⁴  

P = 0.2⁴

P = 0.0016

b. None of them is type O. The probability will be

P = q⁴  

P = 0.8⁴

P = 0.4096

c. Two out of the four are type O. The probability will be

P = p² × q²  

P = 0.2² × 0.8²

P = 0.04 × 0.64

P = 0.0256

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

Step-by-step explanation:

The similar things between the two is that they both to through the y-intercept and x-intercept, but one graph is positive and the other is negative and also have different slopes.

Answer:

the change is b 8. 63-55=8 35+20=55

Answer:

the answer is 21

Step-by-step explanation:

If they drink 1,095 cups per year, and there are 52 weeks in a year, you would divide 52 from 1,095(1,095/52) to get your answer which is 21.05769231. If you round it to the nearest whole number, than it is 21. I hope this helps have a great day.

Answer:

The slope is 2.

Step-by-step explanation:

hope that helps

y²-y¹/x²-x¹

6-4/3-2

2/1

=2

Answer:  250 total kids and 140 girls

Step-by-step explanation:

%56=girls that means %44= boys  that means 110 is %44 of the number of kids is 110/44*100= 2.5*100=250kids  56%=girls that means %56 of 250 which is 140 girls

Answer:

there are 2 full barrels and one that is almost full so intotal there are 3 barrels.

Step-by-step explanation: