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serious [3.7K]
3 years ago
12

The temperature, T, for an oven can be described by the equation T = 44m +67 for the

Mathematics
1 answer:
My name is Ann [436]3 years ago
8 0

Answer:

T-intercept = 67

Step-by-step explanation:

Given

T = 44m + 67

Required

Calculate and interpret the t-intercept

To calculate the t-intercept, we simply set the number of minutes (m) to 0

i.e. substitute 0 for m in T = 44m + 67

T = 44 * 0 + 67

T = 0 + 67

T = 67

Hence, the T-intercept is 67

The interpretation is that the initial temperature when the oven is turned on is 67 degrees

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2. If AB = 4x + 9. BC = 5x + 2, and AC = 56, then find the value for . AB, BC.<br> A<br> B
inysia [295]

Answer:

AB=29; BC=27

Step-by-step explanation:

So they told us AB=4x+9 and that BC=5x+2, and AC=56 , now to help with the question you can draw this information on a number line. Now on a number you can see that basically AC=AB+BC.

So you would write it as such,,

4x+9+5x+2=56

Combine like terms

9x+11=56

Now you have to isolate the x by itself but first get rid of the 11.

9x+11-11=56-11

You would get

9x=45

Here you can divide 9 by both sides to isolate x.

9x/9=45/9

{x=5}

Now to find the value for both substitue x in the equations for both

1. AB=4x+9 where x is 5

4(5)+9 =AB

20+9 =AB

29=AB

You would do the same with BC

2. BC= 5x+2 where x is 5

5(5)+2= BC

25+2= BC

27=BC

If you want to check your answers you can just substitute x for 5 in the first equation we did where AC=AB+BC

6 0
3 years ago
During one year, there were 89,790 births in a large metropolitan area. If
klemol [59]

Answer:

249.4

Bc if you do 89,790 divided by 365 your answer should be 249.4 and some more numbers

7 0
3 years ago
The average hourly charge of plumbers in the Denver area is $84.00 with a standard deviation of $4.00. Assume that the hourly ch
Simora [160]

Answer:

The probability is 0.31

Step-by-step explanation:

In this question, we are tasked with calculating the probability that a random plumber called at Denver will charge an amount greater than $86 given the mean and the standard deviation.

Firstly, we calculate the standard score of $86 using the mean and the standard deviation.

Mathematically;

z-score = (x-mean)/SD

where x = 86, mean = 84 and SD = 4

z-score = (86-84)/4 = 2/4 = 0.5

Hence, we want to calculate P(z ≥ 0.5)

Using standard table

P( (z ≥ 0.5) = 1 - P(z ≤ 0.5) = 1 - ( 0.19146 + 0.5) = 0.30854

To the nearest hundredth = 0.31

5 0
3 years ago
Consider reflections of AJKL.
bonufazy [111]

its y-axis for the first answer and the other one its, y=-x

3 0
3 years ago
8B+18C=4 <br> Solve for B
hammer [34]

Answer:

b=1/2-9/4c

Step-by-step explanation:

first get B on one side

8b+18c=4

    -18c    -18c

8b=4-18c

divide both sides by 8

8b=4-18c

/8   /8 /8

b=1/2-9/4c

8 0
3 years ago
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