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4 years ago

F=9/5 c +35 ??????????

1 answer:

8 0

f(35) = (9/5)*35 + 32 = 63 + 32 = 95, (2), hopefully I'm right or it can be Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

f-(9/5*(35)+32)=0

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There were 400 lb of coal at a factory. Every day, 50 pounds were used. Express by a formula the dependence of the quantity of c

Arturiano [62]

T=p divided by 50 or 8 days 400/50= 8

6 0

3 years ago

A couple of newlyweds decides to s their house with a brand new white picket fence. They purchase 120 feet of fencing materials.

Allisa [31]

Answer:

option (A) 900 ft²

Step-by-step explanation:

Let the length be L and width of the area be 'B'

now,

Perimeter of the fence = 2 (L + B)

also,

2 (L + B) = 120 feet

L + B = 60 ft

L = 60 - B ft

Now,

The area of the fencing ground, A = LB

A = (60 - B)B

A = 60B - B²

now,

differentiating the area with respect to width B, we get

$\frac{dA}{dB}= \frac{d(60B - B^2)}{dB}$

$\frac{dA}{dB}$ = 60 - 2B

for point of maxima or minima, put $\frac{dA}{dB}$ = 0

thus,

60 - 2B = 0

2B = 60

B = 30 ft

to check for maxima or minima

$\frac{d^2A}{dB^2}$ = - 2

since,

$\frac{d^2A}{dB^2}$ is negative, B = 30 ft is point of maxima

therefore,

L = 60 - B = 60 - 30 = 30 ft

Thus,

Maximum area of the fencing ground = 30 × 30 = 900 ft²

Hence,

The correct answer is option (A) 900 ft²

7 0

3 years ago

Answer?? please answer

Maru [420]

Answer:

The y-value of Function A when x = 2 is GREATER than the y-value of Function B when x = 2

Step-by-step explanation:

✔️Find the equation of Function A:

To do this, find the y-intercept (b) and slope (m):

Slope (m) = change in y/change in x

Using (4, 13) and (5, 17),

Slope (m) = (17 - 13)/(5 - 4) = 4/1

m = 4

To find b, substitute (x, y) = (4, 13) and m = 4 into y = mx + b

13 = 4(4) + b

13 = 16 + b

13 - 16 = b

b = -3

To write the equation for Function A, substitute m = 4 and b = -3 into y = mx + b

Thus:

y = 4x - 3

Next, find the y-value of Function A when x = 2 by substituting x = 2 into y = 4x - 3

Thus:

y = 4(2) - 3

y = 8 - 3

y = 5

✅The y-value of Function A when x = 2 is 5

✔️Equation for Function B is given as,

y = ½x + 1

Find the y-value of Function B when x = 2 by substituting x = 2 into y = ½x + 1

Thus:

y = ½(2) + 1

y = 1 + 1

y = 2

✅The y-value of Function B when x = 2 is 2

Therefore, the correct statement is:

The y-value of Function A when x = 2 is greater than the y-value of Function B when x = 2

8 0

3 years ago

On Monday, a middle-school

Shkiper50 [21]

Answer:

697

Step-by-step explanation:

Hope It Helps!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

6 0

2 years ago

Jury Duty Three people are randomly selected from voter registration and driving records to report for jury duty. The gender of

Georgia [21]

Answer:

(a) The experiment defined here is a random variable that includes the selecting of 3 people from the set of voter registration and driving records.

(b) The simple events in sample space, S = (M, M, M), (M, F, M), (M, M, F), (F, M, M), (F, M, F), (F, F, M), (M, F, F), and (F, F, F).

(c) If each person is just as likely to be a man as a woman, then the probability for each of the simple event can be assigned as $0.5 \times 0.5 \times 0.5 = 0.125$ .

(d) The probability that only one of the three is a man is 0.375.

(e) The probability that all three are women is 0.125.

Step-by-step explanation:

We are given that three people are randomly selected from voter registration and driving records to report for jury duty. The gender of each person is noted by the county clerk.

(a) The experiment defined here is a random variable that includes the selecting of 3 people from the set of voter registration and driving records.

(b) As we know that the gender of each person is noted by the county clerk, which means one is male and another female.

<u>So, the simple events in sample space, S</u> = (M, M, M), (M, F, M), (M, M, F), (F, M, M), (F, M, F), (F, F, M), (M, F, F), and (F, F, F).

Here, M is denoted for male and F for female.

(c) If each person is just as likely to be a man as a woman, then the probability for each of the simple event can be assigned as $0.5 \times 0.5 \times 0.5 = 0.125$ .

Because there is 50-50 chance of selecting males or females.

(d) The probability that only one of the three is a man is given by;

The total cases in the sample space = 8

Number of cases of only one man out of three = 3

So, the required probability = $\frac{3}{8}$ = 0.375.

(e) The probability that all three are women is given by;

The total cases in the sample space = 8

Number of cases of all three are women = 1

So, the required probability = $\frac{1}{8}$ = 0.125.

4 0

3 years ago