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3 years ago

Can someone help me with this please and explain how they got the answer, please and thank you!

Mathematics

2 answers:

Tresset [83]3 years ago

5 0

The answer is 37 degrees. That is a 90 degree angle so if you subtract 90-53, you get 37.

Helga [31]3 years ago

5 0

See that little box in the angle? That means it is a right angle. A right angle is 90 degrees always. If the angle is split into two parts and one side is 53 degrees, the other side is the rest of the 90 degree angle. The two angles have to add together to make the 90 degree angle, so you just subtract 53 from 90 and get 37 degrees.

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The function below is defined for all x except one value of x. If possible, define f(x) at the exceptional point in a way contin

Nataliya [291]

Answer:

F(x=11)= (-31)

Step-by-step explanation:

for the function

F(x) = x² - 13*x + 22/x-11 , for x ≠ 11

then in order to define F(x=11) so F is continuous (see Note below) . By definition of continuity of a function:

F(x) is continuous in x=11 if lim F(x)=F(a) when x→a

then

when x→a , lim x² - 13x + 22/x-11 = lim 11² - 13*11 + 22/11 -11 = -3*11 + 2 = -31 = F(x=11)

then

F(x=11)= (-31)

Note:

F is not continuous in all x since

when x→0⁺ , lim (0⁺) ² - 13*0⁺ + 22/0⁺ -11 = (+∞)

when x→0⁻, lim (0⁻) ² - 13*0⁻ + 22/0⁻ -11 = (-∞)

then

limit F(x) , when x→0 does not exist since the limit from the left and from the right do not converge → since the limit does not exist , the function is not continuous in x=0

5 0

4 years ago

On a graphing calculator, you can use the function normalcdf(lower bound, upper bound, μ, σ) to find the area under a normal cur

larisa86 [58]

Answer:

99.87% of cans have less than 362 grams of lemonade mix

Step-by-step explanation:

Let the the random variable X denote the amounts of lemonade mix in cans of lemonade mix . The X is normally distributed with a mean of 350 and a standard deviation of 4. We are required to determine the percent of cans that have less than 362 grams of lemonade mix;

We first determine the probability that the amounts of lemonade mix in a can is less than 362 grams;

Pr(X<362)

We calculate the z-score by standardizing the random variable X;

Pr(X<362) = $Pr(Z$

This probability is equivalent to the area to the left of 3 in a standard normal curve. From the standard normal tables;

Pr(Z<3) = 0.9987

Therefore, 99.87% of cans have less than 362 grams of lemonade mix

4 0

4 years ago

Diane drove 576 miles in 8 hours. At the same rate, how many miles would she drive in 11 hours?

seropon [69]

Answer:

576-8 hours

-11 hours

Cross multiply

=576×11=6336

6336÷8=792

so 792 miles

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3 years ago

What is the vertex for the parabola shown?

Levart [38]

Answer:

I think is (1, 2) opcion B

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3 years ago

G(n)= 2n-3 f(n)= 2n + 1 Find (g•f)(n)

Vitek1552 [10]

Answer:

Step-by-step explanation:

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4 years ago