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hoa [83]
3 years ago
10

The temperature rose by 11 degrees Fahrenheit today. Write a signed number to represent this temperature change

Mathematics
1 answer:
Anestetic [448]3 years ago
8 0
The rise in temperature by 11 degrees Fahrenheit can be represented by the temperature change, ΔT = +11 °F. The temperature change is positive because the temperature increased as stated in the question. Moreover, the formula for temperature change is: ΔT = T_final - T_initial. This means that for this case, the final temperature is higher than the initial temperature. 
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Write in slope intercept form an equation of the line that passes through(-4,1), (4,3)
saul85 [17]

Answer:

Step-by-step explanation:

I know this is not your question but it may help

Question:Write an equation in Slope intercept form of the line that passes through the given  points (-3,4) (1,4)

2 Answers:

1: y=x+4

2:

answer would be “y=4”

to find the answer: first you have to find the slope with the given points. (y2 - y1 / x2 - x1)

plug it in to get: (4-4 / 1- -3) = 0/4 = 0

this means the slope would be 0

if the y intercepts are the same then it usually indicates that the slope would be 0 and that the answer is the y intercept.. but if you don’t understand how to get slope-intercept using other coordinates then here’s how:

you can use point-slope formula (y-y1 = m (x-x1) in order to do this just plug in one of the coordinates. in this case an example of point-slope form would be:

y-4 = 0 (x - -3) or y-4 = 0(x-1)

it doesn’t matter which coordinates you use..

then solve the point slope for slope-intercept.

y-4 = 0(x-3) multiply 0 with x and -3

y-4 = 0x move -4 to the right by adding 4

y = 0x + 4 or y = 4 would be your answer!

7 0
2 years ago
A business has two loans totaling $50,000. One loan has a rate of 8% and the other has a rate of 12%. This year, the business ex
Debora [2.8K]

Answer:

the 8% loan has a principal of $37500

the 12% loan has a principal of $12500

Step-by-step explanation:

Let's start by writing the general  equation for the interest hwre I is the interest, P is the principal (in our case would be loan amounts), "r" is the interest rate in decimal form (in our case one would be 0.12, and the other one 0.08), and t is the time in years (in our case 1 year).

I=P*r*t

Then we write the interest equation coming from each loan at the end of this year (we call I1 the interest coming from the 12% loan and I2 the interest coming from the 8% one). Since we don't know the loan amounts (in fact those are what we need to find) we will name one "x" and the other "y":

I=P*r*t\\I1=x * 0.12*1\\I2=y*0.08*1

Next, we add these last two equations term by term, and replace the addition of both interests by $4500 as given in the information:

I1=x * 0.12*1\\I2=y*0.08*1\\I1+I2 = 0.12x+0.08y\\4500=0.12x+0.08y

This is our first equation in the variables x and y which are our unknowns.

Now we generate the second equation on x and y by writing in agebraic terms the other piece of information we have: "the total of the two loans is $50000. That is the addition of the principals x and y should equal $50000:

x+y=50000

We solve for y in this last equation and replace its form in terms of x in the equation of the interest, and solve for the unknown x:

y=50000-x\\4500 = 0.12x +0.08 y\\4500=0.12x+0.08(50000-x)\\4500=0.12x+4000-0.08x\\4500=0.12x-0.08x+4000\\4500=0.04x+4000\\4500-4000=0.04x\\500=0.04x\\x=\frac{500}{0.04} =12500

Therefore the amount of the loan at 12% is $12500

Now to find the amount of the second loan "y" we use the equation for the totals of the loans:

x+y=50000\\12500+y=50000\\y=50000-12500=37500

Therefore, the loan at 8% is $37500

5 0
3 years ago
Type the expression that results from the following series of steps:
d1i1m1o1n [39]

Answer:

(x-6)3

hope it helps

4 0
2 years ago
Read 2 more answers
What is (64x^2y^3)-1/2 as radical expression?
oksano4ka [1.4K]

Answer:

\frac{1}{8xy \sqrt{y} }

Step-by-step explanation:

(64 {x}^{2}  {y}^{3} )^{  - \frac{ 1 }{2} }  \\  \\  =  \frac{1}{(64 {x}^{2}  {y}^{3} )^{\frac{ 1 }{2} } }  \\  \\  =  \frac{1}{ \sqrt{64 {x}^{2}  {y}^{3}} }  \\  \\  =  \frac{1}{ \sqrt{ {(8xy)}^{2} y} }  \\  \\  =  \frac{1}{8xy \sqrt{y} }

3 0
2 years ago
Pleaseee help <br><br> 6(3 - 7x) = -192
scZoUnD [109]

Answer:

x = 5

Step-by-step explanation:

6(3 - 7x) = -192

Divide each side by 6

6/6(3 - 7x) = -192/6

3 - 7x = -32

Subtract 3 from each side

3-7x-3 = -32-3

-7x = -35

Divide each side by -7

-7x/-7 = -35/-7

x = 5

3 0
3 years ago
Read 2 more answers
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