what is the value of a?

A.-16
B.-3
C.3
D.16​

For 6 hours the temperature is held steady

Solution :

Line Graph:

A line graph—also known as a line plot or a line chart—is a graph that uses lines to connect individual data points. A line graph displays quantitative values over a specified time interval. In finance, line graphs are commonly used to depict the historical price action of an asset or security.

Line graphs can be compared with other visualizations of data including bar charts, pie charts, and (in trading) candlestick charts, among others

Temperature Rose:

It is the increase over ambient temperature of the winding due to energizing and loading

stayed steady:

A steady situation continues or develops gradually without any interruptions and is not likely to change quickly.

Temperature fall :

Temperature drop (T1−T2) is a direct indication of energy extracted. For a given resource, it is dependent on T2 which is in turn dependent on the minimum temperature of the process Ti.

There, we can see that the temperature between 12 noon to 6 pm is not changed much.

therefore we can say that for 6 hours the temperature is holding steady.

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Answer:

138.2

Step-by-step explanation:

Celsius to Farenheit

(59/5)*9=106.2

106.2+32=138.2 farenheit

Answer:

Step-by-step explanation:

y  < 19

hope this helps :)

The greatest integer function, shown below, is defended so that it produces the greatest integer less than or equal to x

This is further explained below.

A natural number that is either positive or negative, expressed as an integer, or the number zero itself are all examples of integers.

The additive inverses of the positive numbers that they relate to are represented by the negative numbers.

In conclusion, The biggest integer function, which is shown down below, is validated in such a way that it generates the greatest integer that is less than or equal to x.

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CQ

The greatest integer function shown below, is defined so that it produces the gretest integer__ or equal to x. f(x)=[ [x] ]

Peyton needs to buy at least 45 sets for the restaurant to have enough forks.

Let the number of sets of forks be represented by 'x'. according to the question there are 10 forks in each set.

Since there are currently 287 forks available in the restaurant, and the restaurant needs at least 732 forks.

The inequality used to represent the given scenario is given by:

10x + 287 ≥ 732

10x ≥ 445

x ≥ 44.5

As Peyton cannot buy 44.5 sets of forks so we round it off to 45.

Therefore, he requires 45 sets in total.

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Answer:

[tex] \sf \large \: −2r+73[/tex]

Step-by-step explanation:

Let's simplify step-by-step.

2r+1−4r+72

=2r+1+−4r+72

Combine Like Terms:

=2r+1+−4r+72

=(2r+−4r)+(1+72)

=−2r+73

Answer:

4

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Answer: 452.16

Step-by-step explanation:

area of circle= πr² where r is the radius

the value of the radius is squared and multiplied by pi, i.e.. 3.14.

If a bottle weighs 300g and can hold 630ml, then it will weigh approximately 930g when filled with water.

As per the question statement, a bottle weighs 300g and can hold 630ml.

We are required to find out the weight of the bottle when it is filled up with water.

To solve this question, we need to know about the concept of density of a substance, i.e.,

[tex]Density=\frac{Mass}{Volume}\\ or, Mass=[Density*Volume][/tex].

And density of water is 1gm/ml, i.e., 1gm of water has a mass of 1ml.

Using the above info, we will calculate the mass of 630ml of water and then we will have to add up the mass of water and the mas of the bottle to obtain our desired answer.

Using the unitary method, if 1ml of water has a mass of 1gm, then,

630 ml of water has a mass of [tex](630*1)=630\\[/tex] gms.

Hence, total weight of the bottle filled with water will be

[tex](630+300)=930[/tex] gms.

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Answer:

work is shown and pictured

Solving the given fraction, we get that It will rain for 1 day more, that means a total of 2 days.

According to the question, first day it rained 6 inches. Then it rained 2/3 every day after that. Solving the fractions, we get that second day it will rain,

(6 × 2/3) = 4 inches as it rained 2/3 every day after that .

So, it rained a total of, 6 + 4 inches = 10 inches in a week.

We have been given that it rained a total of 10 inches in a week. While solving the fraction, we found that it rained for 10 inches in just days, 6 inches in a day and 4 inches the other day. This tells us that it will not rain for the remaining 5 ( 7 - 2 ) days.

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The two numbers are found as 9 and 16.

For the given questions;

Let the first number be 'a'.

Let the second number be 'b'.

Then, first number is seven less than a second number.

a = b - 7

Now, 5 times the first is 13 more than twice the second.

5a = 2b + 13

Put the value of a in above equation;

5(b - 7) = 2b + 13

Simplifying;

5b - 35 = 2b + 13

3b = 48

b = 16 (second number)

a = b - 7

a = 16 - 7

a = 9 (first number)

Therefore, the two number are found as 9 and 16.

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4 cm  is the height of the parallelogram.

What in mathematics is a parallelogram?

The area is always given by squared units and never by single units!

The area of a parallelogram is given by the equation

A = b * h

             b is the base length of the parallelogram

             h is the height of the parallelogram

And so, plugging in our given values, we get

24cm² = 6 cm . h

h = 24 cm/6cm

h = 4 cm

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The complete question is -

The area of a parallelogram is 24 centimeters and the base of the parallelogram is 6 centimeters. What is the height of the parallelogram?

Answer:

A = 26          B = 82

Step-by-step explanation:

The angle A = 180 - ∅

So A is:

180 - (4x+10)

180 - 4x - 10

170 - 4x

The total angle of a triangle is 180, so A + B + C = 180

(170 - 4x) + (2x + 10) + 72 = 180

170 - 4x + 2x + 10 + 72 = 180

170 - 2x +82 = 180

252 - 2x = 180

252 - 180 = 2x

72 = 2x

72/2 = x

36 = x

A = (170 - 4x) = (170 - 4(36)) = 26

B = (2x + 10) = (2(36) + 10) = 82

C = 72

The given problem has 4 different solutions as below.

Given that the product of the two numbers is -100.

And one of the factors is less than 10 and more than 0.

Assume c and d are the two required numbers.

Then we have cd = -100, here 0 < c <10.

We know that the factors of 100, which are less than 10 and greater than 0 are 1, 2, 4, and 5.

When c = 1, we get 1 x d = -100 ⇒ d = -100

When c = 2, we get 2 x d = -100 ⇒ d = -100/2 = -50

When c = 4, we get 4 x d = -100 ⇒ d = -100/4 = -25

When c = 5, we get 5 x d = -100 ⇒ d = -100/5 = -20

So, the other factors corresponding to the above factors are -100, -50, -25, and -20.

Therefore, the given problem has 4 different solutions as below.

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Abby has 36.4 kg rice at first.

Here,

Abby and Brenda had total 190.4 kg rice.

After Abby gave Brenda 64.5kg rice, Brenda had 6 times as much as Abby.

We have to find amount of rice at first.

What is Total amount?

A total is whole or complete amount, and to total is to add numbers or to destroy something.

Now,

Abby and Brenda had total 190.4 kg rice.

Let amount of rice Abby has = x kg

Let amount of rice Brenda has = y kg

x + y = 190.4 kg .....(i)

Abby gave Brenda 64.5kg rice, Brenda had 6 times as much as Abby.

64.5 + y =  6x

6x - y = 64.5 .....(ii)

From equation (i) and (ii) we get;

x = 36.4

Hence, Abby has 36.4 kg rice at first.

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Answer:

127.3 feet

Step-by-step explanation:

Use Pythagorean Theorem which says

leg^2+leg^2=hyp^2

90^2+90^2= c^2

8100 +8100=c^2

16200 = c^2

sqrt16200 = c

c ~= 127.27922

Round to one decimal place.

c ~= 127.3 feet

OR, use the shortcut of Special Right Triangles, 45°-45°-90° where, the long side (hypotenuse) is the leg•sqrt2

The legs are 90.

So, the long side is 90•sqrt2

~= 127.27922

~= 127.3 feet

see image.

Answer: we have to divide a

This should be done by using a long division method.

multiply x+1 by

Therefore the quotient is

The remainder is 0

Step-by-step explanation: hope this helps

Answer:

2x^3-7x/2 -1

Step-by-step explanation

Let me know if this is an option. I was unsure if the x was the letter x or the multiplication symbol. Thanks, let me know

sixth person work per week=47 hours

Average:

The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set

Given :

the number of hours worked per week for five of her employees is

30, 30, 38, 35, and 30.

the average work of 6 employees is  35 hours per week

Solution :

Let, Total work per week= S

sixth person work per week=x

Total work per week= Number of people x average working hour

S= 35(6) = 210..(1)

S = 30+30+38+35+30+x

S= 163+x..(2)

By equation 1 and equation 2

210= 163+x

210-163=x

47=x

sixth person work per week=47 hours

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Total assets is $20,120; total liabilities is $3,384; net worth is $16,7366; total cash inflows is $3,804; and total cash outflows is $3,920.

Total assets = Cash in checking account + Savings account balance + Current value of automobile + Household possessions + Stereo equipment + Home computer + Value of stock investment = $1,340 + $2,770 + $8,020 + $3,510 + $3,320 + $1,160 = $20,120

Total liabilities = Balance of educational loan + Credit card balance = $3,050 + $334 = $3,384

Net worth = Total assets - Total liabilities = $20,120 - $3,384 = $16,736

Cash outflows = Rent for the month + Spending for food + Telephone bill paid for month + Loan pyment + Auto insurance + Payment for electricity  + Lunches/parking at work + Donations + Clothing purchase + Restaurant spending = $1,390 + $1,110 + $85 + $143 + $321 + $189 + $204 + $139 + $223 = $3,804

Cash inflows = Monthly take-home salary = $3,920

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Answer:  First graph

Step-by-step explanation:

We first rewrite the equation in slope-intercept form y = ax + b, where a is the slope and b is the y-intercept(where x is equal to 0).

24x + 64y = 384

         64y = -24x + 384

             y =  [tex]-\frac{24}{64}[/tex]x + 6

The y-intercept for this graph is equal to 6. Only the first graph satisfied the slope of the linear equation that we are looking for. In the first graph, when x was equal to 0, y was equal to 6.

Please check the image attached aside with the graph of the quadratic equation.

In this problem we have a quadratic equation, of which we should plot the graph by matching five points. We can make use of its vertex, two roots, y-intercept and other point. First, determine the vertex of the quadratic function:

- x² - 12 · x - (35 + y) = 0

x² + 12 · x + (35 + y) = 0

12² - 4 · 1 · (35 + y) = 0

144 - 4 · (35 + y) = 0

144 - 140 - 4 · y = 0

4 · y = 4

y = 1

- x² - 12 · x = 36

x² + 12 · x + 36 = 0

(x + 6)² = 0

x = - 6

The vertex of the quadratic equation is (x, y) = (- 6, 1).

Second, calculate the roots of the quadratic equation:

- x² - 12 · x - 35 = 0

x² + 12 · x + 35 = 0

(x + 5) · (x + 7) = 0

The roots of the quadratic equation are (x, y) = (- 5, 0) and (x, y) = (- 7, 0).

Third, determine the y-intercept of the quadratic equation:

y = - 0² - 12 · 0 - 35

y = - 35

The y-intercept of the quadratic equation is (x, y) = (0, - 35).

And fourth, find another point by evaluating the quadratic equation:

y = - 1² - 12 · 1 - 35

y = - 48

The remaining point is (x, y) = (1, - 48).

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Answer:

On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Which is the graph of the given function?

Here we have the exponential decay:

f(x) = 100*(0.7)^x

So, as x increases, y will tend to zero (because this is a decay, the number with the exponent x is between zero and 1).

Now, if we evaluate in x = 0 we get:

f(0) =  100*(0.7)^0 = 100

Then it goes through the point (0, 100).

If we evaluate in x = 2, we get:

f(2) = 100*(0.7)^2 = 49

Then it also goes through the point (2, 49).

With all that in mind, the correct option is:

"On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100)."

Amount after 10 years at 3%, 4% and 5.5% interest with principal $20000 is $26878.32, $29604.88 & $34162.88 respectively.

Although a part of your question is missing, you might be referring to this full question: Suppose that P dollars in principal are invested for years at the given interest rates with continuous compounding. Determine the amount that the investment is worth at the end of the given time period. p=$20000, t=10yr

a. 3% interest

b. 4% interest

c. 5.5% interest

P = $2000

T = 10 years

Formula to be used:

A = P(1+r/100)^n

A = total amount after n years

P = principal amount invested

r  = rate of interest

n = number of years the money is invested

Solving for part a:

A = 20000(1+3/100)^10

= 20000*1.34

A = 26878.32

Solving for part b:

A = 20000(1+4/100)^10

= 20000*1.48

A = 29604.88

Solving for part c:

A = 20000(1+5.5/100)^10

= 20000*1.70

A = 34162.88  

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We need to use the concept of proprotionality for the given question.The value of y is 25.7, value of R is 1 and value of t is 144.

It is given that y varies directly as the square root of x which means that y is directly proportional to x, we can write it as

y∝[tex]\sqrt{x}[/tex] which can again be written as y=[tex]\sqrt{x} k[/tex] where k is a proportionality constant,we need to find the value of k inorder to find the value of y.We know that y=12 when x=49

12=[tex]\sqrt{49} k[/tex]=7k⇒12=7k⇒k=[tex]\frac{12}{7}[/tex]

when x=225 then y=[tex]\sqrt{225}[/tex]×[tex]\frac{12}{7}[/tex]=15×[tex]\frac{12}{7}[/tex]=25.7

R is inversely proportional to the cube of S,we can write it as

R∝[tex]\frac{1}{S^{3} }[/tex] ⇒R=[tex]\frac{k}{S^{3} }[/tex]

We need to find the value of k inorder to find the value of R, it is given that R=8 when S=3

8=[tex]\frac{k}{27}[/tex]

k=27x8=216

Value of R when S=6 will be

R=[tex]\frac{216}{6^{3} } =\frac{216}{216} =1[/tex]

It is given that n varies directly as the square root of t and inversely as l,we can write it as

n∝[tex]\frac{\sqrt{t} }{l}[/tex] which can be again written as n=[tex]\frac{\sqrt{t} }{l} k[/tex] where k is a proportionality constant,we need to find the value of k first to find the value of t

We know that n=5 when t=16 and l=2

5=[tex]\frac{\sqrt{16} }{2}k=\frac{4}{2} k=2k[/tex]

k=[tex]\frac{5}{2}[/tex]

We know that n=10,l=3 and k=[tex]\frac{5}{2}[/tex] substituting these values we can get the value of t

t=[tex](\frac{nl}{k} )^{2}[/tex]=[tex](\frac{10.3.2}{5} )^{2} =12^{2} =144[/tex]

Thus we can see that using the concept of proportionality we found out the values of y,R and t. Value of y is 25.7, R is 1 and t is 144.

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