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jasenka [17]
3 years ago
6

The temperature at 5:00 am functions

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
7 0

Answer:

t2 =  37 °F

Step-by-step explanation:

t

1

​

=52

∘

F

g=3

∘

F/hr

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A rectangular restaurant kitchen has a perimeter of 36 meters and an area of 80 square meters. what are the dimensions of the ki
konstantin123 [22]
Let L and W be the length and width of the given rectangle, respectively. Perimeter is calculated through the equation,

    P = 2L + 2W

Substituting the perimeter,
   36 = 2L + 2W
Simplifying,
    18 = L + W

The area is calculated by multiplying the length and width as below,
    A = 80 = LW
  
Substituting the expressions,
   80 = (L)(18 - L)
The value of L from the equation is 8. With this, the value of W is equal to 10.

Therefore, the dimensions of the rectangle are 8 m by 10 m. 
8 0
3 years ago
Jane paid $40 for an item after she received a 20% discount. Jane's friend says this means that the original price of the item w
Alika [10]

Answer:

she is incorrect because if she was given a 20% discount the amount she would have to pay is 38.4

Step-by-step explanation:

48 x .2 = 9.6

48 - 9.6 = 38.4 not 40

3 0
2 years ago
Read 2 more answers
A polymer is manufactured in a batch chemical process. Viscosity measurements show that it is approximately normally distributed
PilotLPTM [1.2K]

Answer: (751.05, 766.95)

Step-by-step explanation:

We know that the confidence interval for population mean is given by :-

\overline{x}\pm z*\dfrac{\sigma}{\sqrt{n}},

where \sigma =population standard deviation.

\overline{x}= sample mean

n= sample size

z* = Two-tailed critical z-value.

Given :  \sigma= 20

n= 42

\overline{x}=759

We know that from z-table , the two-tailed critical value for 99% confidence interval : z* =2.576

Now, the 99% confidence interval around the true population mean viscosity :-

759\pm (2.5760)\dfrac{20}{\sqrt{42}}\\\\=759\pm (2.5760)(3.086067)\\\\=759\pm7.9497=(759-7.9497,\ 759+7.9497)\]\\=(751.0503,\ 766.9497)\approx(751.05,\ 766.95)

∴ A 99% confidence interval around the true population mean viscosity : (751.05, 766.95)

3 0
3 years ago
Help me out with this question ​
AveGali [126]

Answer:

c

Step-by-step explanation:

combine like terms

3x^3-8x^3=-5x^3

+2x^2

-5x+3x=-2x

-5x^3+2x^2-2x

4 0
3 years ago
LM has endpoints L(-1,1) and M(-5,-3) find the coordinates of the midpoint
Helen [10]
Use the midpoint formula,
(x1+x2/2,y1+y2/2)
(-1-5/2,1-3/2)
(-6/2,-2/2)
(-3,-1)
3 0
3 years ago
Read 2 more answers
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