Determine the intercepts of the line.
v-intercept: (____,___)
y-intercept: (____,___)

9514 1404 393

Answer:

  13 square units

Step-by-step explanation:

See the attached figure.

The horizontal dashed line divides the figure into two pieces:

The appropriate area formulas can be used to find the areas of these. The figure's area will be their sum.

  A = (1/2)bh = (1/2)(4)(2) = 4 . . . . square units

  A = (1/2)(b1 +b2)h = (1/2)(5 +4)(2) = 9 . . . . square units

The area of the shape is ...

  (4 +9) square units = 13 square units

Answer:

C. x = 8 is a solution, but x = 6 is not

Step-by-step explanation:

12 + 6 = 18

12 + 8 = 20

20 - 12 = 8

Answer: c=144

Step-by-step explanation:

From the Moore's Law, the predicted number of transistors per IC in 1992 would be approximately 4,096,000.

Given data:

Based on this exponential growth pattern, use the estimate of 4,000 transistors per IC in 1972 to predict the number of transistors per IC in 1992.

To predict the number of transistors per IC in 1992, determine how many doublings occurred during the 20-year period from 1972 to 1992.

Since each doubling represents a multiplication by 2, calculate the number of doublings as follows:

Number of doublings = (1992 - 1972) / 2

Number of doublings = 20 / 2

Number of doublings = 10

Now, use this number of doublings to predict the number of transistors per IC in 1992:

Predicted number of transistors per IC in 1992 = 4,000 * (2^10)

Predicted number of transistors per IC in 1992 = 4,000 * 1,024

Predicted number of transistors per IC in 1992 ≈ 4,096,000

Hence, based on Moore's Law and the estimate of 4,000 transistors per IC in 1972, the predicted number of transistors per IC in 1992 would be approximately 4,096,000.

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Answer:0.125

Step-by-step explanation:

There is only 1/8 that is whistle so convert into percent and get 0.125. Hope this helps

Answer:

0.125

Step-by-step explanation:

There are 8 possibilities.

Only 1 whistle.

1/8 = 0.125

Answer:

i think its a or d but im hoorible at math so if its wrong im sorry

Step-by-step explanation:

Answer:

a = 4, b = 2, c = 16, d = 9

Step-by-step explanation:

Solving the first part of the question by indices,

Comparing the rightmost term with the second term in the question,

a = 4, b = 2

Solving on,

Comparing with the final term in the question,

c = 16 and d = 9

Therefore,

a = 4, b = 2, c = 16, d = 9

Step-by-step explanation:

Answer: 37.5%

Step-by-step explanation:

200-125=75

75 divided by 200 is 0.357

since we need percent so were gonna move the decimal point 2 places so the final answer is 37.5% remain unsold

Answer:

97% of her laps are completed in less than 134 seconds.

The fastest 5% of her laps are under 125.96 seconds.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 129.71, \sigma = 2.28[/tex]

Find the percent of her laps that are completed in less than 134 seconds.

We have to find the pvalue of Z when X = 134. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{134 - 129.71}{2.28}[/tex]

[tex]Z = 1.88[/tex]

[tex]Z = 1.88[/tex] has a pvalue of 0.9699, so 97% of her laps are completed in less than 134 seconds.

The fastest 5% of her laps are under how many seconds?

This is the 5th percentile of times, which is X when Z has a pvalue of 0.05, that is, X when Z = -1.645. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.645 = \frac{X - 129.71}{2.28}[/tex]

[tex]X - 129.71 = -1.645*2.28[/tex]

[tex]X = 125.96[/tex]

The fastest 5% of her laps are under 125.96 seconds.

Hello!

[tex]\large\boxed{x = 8}[/tex]

The two angles pictured are corresponding angles, so they are congruent.

Therefore:

17x - 4 = 12 + 15x

Isolate for x by subtracting 15x from both sides:

2x - 4 = 12

Add 4 to both sides:

2x = 16

Divide both sides by 2:

x = 8.

Answer:

x=8

Step-by-step explanation:

These angles are what we call corresponding angles. This simply means that they are the same. Therefore, we set 17x-4 equal to 12+15x. To isolate x, add 4 to both sides, and subtract 15x from both sides. 2x=16. x=8. To check, both angles = 132 degrees.

Answer:

A lot

Step-by-step explanation:

Why am I baking cakes. I SUCK.

There are 12 ounces of sugar will he need in his smaller cake.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The normal recipe calls for 8 ounces of butter and 16 ounces of sugar.

Let the amount of sugar will he need in his smaller cake = x

So, By definition of proportion, we get;

⇒ Amount of Butter / Amount of Sugar

⇒ 8 / 16 = 6 / x

⇒ x = 6 × 16 / 8

⇒ x = 12 ounces

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Answer:

x=0, which represents the savings at the beginning of the savings plan

Step-by-step explanation:

Intercept, when x (the number of years/months) is zero. which represents the savings at the beginning of the savings plan

Answer:

0.49

Step-by-step explanation:

49/100 = 0.49

I uh apparently need to explain more

Answer:the right answer is a

Step-by-step explanation:

ive done this question

hope it helps

Answer:

the zeros of the function are those that result, when plugged into the equation, in zero; the zeros are -3, 1, and 1/2

Step-by-step explanation:

all possible factors:

±3/2,  ±1/2,  ±3,  ±1

2x³ + 3x² - 8x + 3

let '2' = p and let '3' = q

factors of 'p' are 1 and 2

let '3' = q

factors of 'q' are 1 and 3

possible factors are q/p

Answer:

B

Step-by-step explanation:

Neither is a solution because when you subtract 5 from 25 you get 20.

it describes the relationship between the three sides of a triangle. any triangle the sum of length of two sides is always great er then the third side.

Answer:

2962.8

Step-by-step explanation:

you wants to divide how much percent into the house in three years then the answer would be

Answer:

24

Step-by-step explanation:

because  its 24 gkrjkkmn lol

Answer:

gg

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2 x 2 =4

Answer:

They are the same

Step-by-step explanation:

When you convert 0.578 into a percentage you get 57.8%

When you convert 57.8% into a decimal you get 0.578

Answer:

$901.64

Step-by-step explanation:

Given data

rate= 7%

Final amount = $1650

time= 9 years

Let us apply the compound interest formula to solve for the Principal amount P

A=P(1+r)^t

substitute

1650=P(1+0.07)^9

1650=P(1.07)^9

1650=P1.84

Divide both sides by 1.84

P=1650/1.83

P=901.64

Hence she needs to invest $901.64

Answer:

880

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

3/4*36=27

therefore the answer is

27

Answer:

x=13.5

Step-by-step explanation:

You are on the right track with sin34/x=sin27/11 (remember you don't need all three angles/sides)

[tex]\frac{sin34}{x}[/tex] = [tex]\frac{sin27}{11}[/tex]

(sin27)(x)=6.15112193818

x=6.15112193818/0.45399049974

x=13.5490102584

Answer:

The new jar is smaller.

Step-by-step explanation:

Like what the statements says, the normal size of coffee is reduced by 1/5 and it become as the new jar which is smaller than the original.

Answer:

0.1587 = 15.87% probability that the weight of a randomly selected candy bar is less than 8 ounces.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The distribution of actual weights of 8-ounce chocolate bars produced by a certain machine is Normal with mean 8.1 ounces and standard deviation 0.1 ounces.

This means that [tex]\mu = 8.1, \sigma = 0.1[/tex].

(a) Find the probability that the weight of a randomly selected candy bar is less than 8 ounces

This is the pvalue of Z when X = 8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{8 - 8.1}{0.1}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

0.1587 = 15.87% probability that the weight of a randomly selected candy bar is less than 8 ounces.

Answer:

42/56 = 3/4

Step-by-step explanation:

Answer:

The simplified fraction is [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Simplifying Fractions

A given fraction [tex]\frac{a}{b}[/tex] can be simplified if a and b have common factors, i.e. if they can be evenly divided by at least one equal number.

The fraction is:

[tex]\frac{42}{56}[/tex]

We'll simplify it by 2 since both numbers are even:

[tex]\frac{42}{56}=\frac{21}{28}[/tex]

The next prime common factor is 7. Dividing by 7:

[tex]\frac{42}{56}=\frac{21}{28}=\frac{3}{4}[/tex]

Thus, the simplified fraction is [tex]\frac{3}{4}[/tex]