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sladkih [1.3K]
3 years ago
11

Find the value of the expression 3m2 + 2p2 − 15 when m = 3 and p = 10.

Mathematics
2 answers:
photoshop1234 [79]3 years ago
6 0
The answer would be 212 :)
Marianna [84]3 years ago
3 0

Answer:

212

Step-by-step explanation:

The given expression is 3m^2+2p^2-15

Substituting m = 3 and p = 10 in the expression

3(3)^2+2(10)^2-15

Now, simplify this expression

3\times9+2\times100-15\\\\=27+200-15\\\\=227-15\\\\=212

Therefore, the value of the expression is 212.

Third option is correct.

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How do I find the measure of the interior angle?
nataly862011 [7]

Answer:

see the explanation

Step-by-step explanation:

we know that

The sum of the interior angles in any polygon is given by the formula

S=(n-2)180^o

where

n is the number of sides of the polygon

step 1

Find the sum of the interior angles in the given polygon

we have

n=5\ sides

substitute

S=(5-2)180^o=540^o

step 2

Find the value of x

we know that

-3x+125+(45-x)+(-x+90)+80=540

solve for x

-5x+340=540

-5x=200\\x=-40

step 3

Find the measure of each interior angle

substitute the value of x

Angle A

-3(-40)=120^o

Angle B

80^o

Angle C

-(-40)+90=130^o

Angle D

45-(-40)=85^o

Angle E

125^o

3 0
3 years ago
PLEASE HELP TRYING TO MAKE HONOR ROLL
maria [59]

Answer:

Hulian's age is 7.

Thomas's age is 22.

Step-by-step explanation:

Let Hulian = h

Let Thomas = t

Set the system of equation:

h = t - 15

h + t = 29

Plug in t - 15 for h in the second equation:

(t - 15) + t = 29

Simplify. Combine like terms:

2t - 15 = 29

Isolate the variable, t. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 15 to both sides:

2t - 15 (+15) = 29 (+15)

2t = 44

Divide 2 from both sides:

(2t)/2 = (44)2

t = 44/2

t = 22

Plug in 22 for t in one of the equations:

h = t - 15

h = 22 - 15

h = 7

Hulian's age is 7.

Thomas's age is 22.

~

7 0
3 years ago
Find y’ for y=7sec^3x
laiz [17]
Taking the derivative of 7 times secant of x^3:
We take out 7 as a constant focus on secant (x^3)
To take the derivative, we use the chain rule, taking the derivative of the inside, bringing it out, and then the derivative of the original function. For example:
The derivative of x^3 is 3x^2, and the derivative of secant is tan(x) and sec(x).
Knowing this: secant (x^3) becomes tan(x^3) * sec(x^3) * 3x^2. We transform tan(x^3) into sin(x^3)/cos(x^3) since tan(x) = sin(x)/cos(x). Then secant(x^3) becomes 1/cos(x^3) since the secant is the reciprocal of the cosine.

We then multiply everything together to simplify:

sin(x^3) * 3x^2/ cos(x^3) * cos(x^3) becomes

3x^2 * sin(x^3)/(cos(x^3))^2

and multiplying the constant 7 from the beginning:

7 * 3x^2 = 21x^2, so...

our derivative is 21x^2 * sin(x^3)/(cos(x^3))^2


6 0
3 years ago
An engineering crew ran several tests on a new automobile engine they were designing. The mean fuel consumption was 52.4 miles p
zhenek [66]

Any value which is more than 2 standard deviations away from the mean is considered to be "unusual."  

2 standard deviations above the mean 52.4 mp would be 52.4+2(1.8), or 56; 2 std devs below the mean would be 52.4 - 2(1.8), or 48.8.  Thus, any value larger than 56 or any value smaller than 48.8 would be "unusual."

54.8, 49.1 and 51.3 are not unusual; 56.5 is unusual, because it's greaster than 56.

8 0
3 years ago
What is the polynomial in standard form?
lilavasa [31]
That’s the answer ❤️❤️❤️Hope that helps!!!

6 0
3 years ago
Read 2 more answers
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