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ivann1987 [24]
3 years ago
10

Solve the inequality. Write the solution in set-builder notation.

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
8 0
-4x - 17 ≥ -41
<u>       +17   +17</u>
        <u>-4x</u> ≥ <u>-24</u>
         -4       -4
           x ≥ 6
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Please help!!!
STALIN [3.7K]

Answer:

B                    BC=EF

Step-by-step explanation:

You know that  angle B=angle E and that angle C=angle F

You need to knows that segment BC=segment EF because they are between the known angles (ASA, Angle Side Angle).

7 0
3 years ago
What is 5/6÷2 can you please help <br>me
marishachu [46]

Question

what is 5/6÷2?

Answer:

<h2>0.41 or 5/12 (same value)</h2>

Step-by-step explanation:

5/6 : 2 =

0.83 : 2 =

0.41

Or

5/6 : 2 =

5/6 * 1/2 =

5/12





3 0
3 years ago
(10 - 1 ) x 2 + 2 x 3 what is the value of the expression
mash [69]

Answer:

24

Step-by-step explanation:

(10-1) x 2 + 2 x 3

9 x 2 + 6

18 + 6

24

5 0
3 years ago
Read 2 more answers
A hiker is hiking in a valley. The height of the valley is h(x,y)=4x2+y2 where x and y are the east-west and north-south distanc
Ainat [17]

Answer:

A. \frac{\partial{h}}{\partial{t}}=0

Step-by-step explanation:

A. The problems asked for 2 ways to solve it, expanding the equation with the substitution  x(t)=2 cos(t) and y(t)=4 sin(t) to differentiate it . The other way is by chain rule.

Expanding and differentiating:

We start by substituting x(t)=2 cos(t) and y(t)=4 sin(t) in h(x,y)=4x2+y2:

h(x,y)=4x^{2}+y^{2}= 4(2cos(t))^{2}+(4sin(t))^{2}\\h(x,y)=4(4cos^{2}(t))+(16sen^{2}(t))\\h(x,y)=16cos^{2}(t)+16sen^{2}(t)=16(sen^{2}(t)+cos^{2}(t))\\h(x,y)=16

So, in the path that the hiker chose:

\frac{\partial{h}}{\partial{t}}=0

Chain rule:

We start differentiating h(x,y) using chain rule as follows:

\frac{\partial{h}}{\partial{t}}= \frac{\partial{h}}{\partial{x}}\frac{\partial{x}}{\partial{t}}+\frac{\partial{h}}{\partial{y}}\frac{\partial{y}}{\partial{t}}

Now, it´s easy to find all these derivatives:

\frac{\partial{h}}{\partial{x}}=8x\\\frac{\partial{x}}{\partial{t}}=-2sin(t)\\\frac{\partial{h}}{\partial{y}}=2y\\\frac{\partial{y}}{\partial{t}}=4cos(t)

Now we replace them in the chain rule, with the replacement x=2cos(t) and y=4sin(t) in the x,y that are left and we operate everything:

\frac{\partial{h}}{\partial{t}}= 8x(-2sin(t))+2y(4cos(t)

\frac{\partial{h}}{\partial{t}}= 8(2cos(t))(-2sin(t))+2(4sin(t))(4cos(t)

\frac{\partial{h}}{\partial{t}}= -32cos(t)sin(t)+32sin(t)cos(t)

\frac{\partial{h}}{\partial{t}}= 0

This will be our answer

6 0
3 years ago
solve The mean score of a competency test is 60, with a standard deviation of 5. Between what two values do about 68% of the val
Anna11 [10]

Answer:

Between 55 and 65

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 60

Standard deviation = 5

Between what two values do about 68% of the values lie?

By the Empirical Rule, within 1 one standard deviation of the mean. So from 60-5 = 55 to 60+5 = 75.

5 0
3 years ago
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