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faust18 [17]
3 years ago
12

A history professor weights his grades as follows:

Mathematics
1 answer:
Andrews [41]3 years ago
8 0
I believe the answer is 87%
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The temperature inside a certain industrial machine at time t seconds after startup, for 0 < t < 10, is given by h(t) = 42
frutty [35]

Answer:

t= \frac{125}{38} s

Step-by-step explanation:

We are given the temperature inside the machine from startup until 10 seconds later, the formula is:

h(t)= 42 \cdot t +1 - 4\cdot t +2  (degrees \, C)

We want to know at what time t the temperature inside the machine will be equal to 128 °C.

So we set:

h(t)=128

42\cdot t+1-4\cdot t+2=128

Now, we rearrange the equation to keep terms with t on the left hand side and terms without t on the right hand side

42\cdot t-4\cdot t=128-1-2

and we simplify:

(42-4)\cdot t= 128-2-1= 125

38 \cdot t = 125

now it's easy to solve for t:

t=\frac{125}{38}

And thus we arrive to the solution.

5 0
3 years ago
What is the angle, in degrees, when the coordinate is <img src="https://tex.z-dn.net/?f=%28-%5Csqrt%7B2%7D%20%2F2%29%2C%20%5Csqr
Juliette [100K]

Answer:

135°

Step-by-step explanation:

seg AB=seg OB

tan ∠AOB = 1

∠AOB = 45°

∠AOC = 135°

8 0
2 years ago
Evaluate 15cos60<br> Options are <br> A) -0.5<br> B)7.5<br> C)-14.5
USPshnik [31]

\cos60^o=\dfrac{1}{2}\\\\\text{Therefore}\\\\15\cos60^o=15\cdot\dfrac{1}{2}=7.5\\\\Answer:\ \boxed{B)\ 7.5}

6 0
3 years ago
Read 2 more answers
The area of a square floor on a scale drawing is 25 square centimeters, and the scale drawing is 1 centimeter:2 ft. What is the
N76 [4]

Answer:

100 ft²

Step-by-step explanation:

1 cm : 2 ft

1 cm² : 4ft²

25 cm² : X ft²

1/4 = 25/X

X = 25×4 = 100 ft²

6 0
3 years ago
A line passes through the point (8, -1) and has a slope of -5/4
Annette [7]

Answer:

y = -5/4x +27/4

Step-by-step explanation:

"A line passes through the point (8, -1) and has a slope of -5/4 "

I'm guessing you want to formulate an equation.

To do that, we use the Slope-Intercept Form, y = mx + b, where m is the slope, and b is the y- intercept.

Since we know the slope, we can substitute -5/4 for slope.

y = -5/4x + b

To Find B, we will substitute the ordered pair (8,-1) as x and y.

8= -5/4(-1) + b

8 = 5/4 + b

Subtract 5/4 from both sides.

8-5/4 = 5/4-5/4 + b

27/4 = b

Substitute  27/4 as b in the equations.

<u>y = -5/4x + 27/4</u>

==================================================================

<em>Hope I Helped, Have A Nice Day!</em>

<em>                       -Aadi x</em>

7 0
2 years ago
Read 2 more answers
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