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Semenov [28]
3 years ago
11

Given h(x)=-x+5, solve for x when h(x)=3

Mathematics
1 answer:
mars1129 [50]3 years ago
7 0

Step-by-step explanation:

3=-x+5

x=2

................

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-0.00025 scientific notation
LiRa [457]

Answer:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

Step-by-step explanation:

6 0
3 years ago
The points A BC :(2, 2,1), :(1,1,3), :(2,0,5) − are the vertices of a right triangle. The radius of the sphere with center at th
ElenaW [278]

Answer:

r=1

Step-by-step explanation:

First we need to know the length of each side of the triangle, so we use the formula of the vector modulus:

|AB|= \sqrt{(b_{1}-a_{1})^{2}+(b_{2}-a_{2})^{2}+(b_{3}-a_{3})^{2}

By doing so, we find:

|AB|=\sqrt {6}\\|BC|=\sqrt {6}\\|AC|=2\sqrt {5}

With this we know that the triangle is not right, but, we assume the longest side as the hypotenuse of the problem.

As we have two equal sides, we know that the line between point |AB| and the center of the hypotenuse is perpendicular, therefore, we can calculate it using Pythagoras theorem:

|BC|^{2}=r^{2}+(\frac{|AC|}{2})^{2}\\\\r^{2}=|BC|^{2}-(\frac{|AC|}{2})^{2}\\\\r^{2}=(\sqrt{6})^{2}- (\frac{2\sqrt{5}}{2})^{2}\\\\r^{2}=6-5=1\\r=1

4 0
3 years ago
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 37 o
just olya [345]

Answer:

a) 68 % will lie between 30 and 44 ounces

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Step-by-step explanation: See Annex

a) Normal Distribution  N ( 37, 7)

The Empirical Rule establishes that 68 % of values will be at

μ  ±  1 σ      where μ is the mean and σ the standard deviation

Then:   37 - 7  = 30    and 37 + 7 = 44

68 % of the values will lie between  30 and 44 ounces

b) And between  23 and 44 we should find:

We have 95 %  of values between

μ  ± 2*σ  

In our case to the left of the value (mean 0 ) and up to the value 23 we get 95/2 = 47,5 % and to the right of the value (mean 0 ) and up to 44 we half 68/2 = 34 %

Then between 23 and 44, we have 47,5 + 34 = 81,5 %

8 0
3 years ago
Can someone help with this?
tatuchka [14]

Answer:

im sorry im just answereing like this to complete challenges but im heping people i understand the problems of.

Step-by-step explanation:

7 0
3 years ago
A bag contains 40 marbles, 4 of which are blue, 10 are red, 25 are green, and 1 is purple. Shawna takes a marble out of the bag,
viktelen [127]
The answer is 25/400 because it is 25 green marble and it 400 in all
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3 years ago
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