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3 years ago

Can someone help me with this?

Mathematics

1 answer:

Wewaii [24]3 years ago

7 0

3x+4=y+5, then y+5=3x+4
It is called: reflexive property

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x = y and y = 10, then x = 10
It is called: equality substitution property

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Which measure is of an angle that is conterminal with a 95 degree angle

timofeeve [1]

Answer: Choice B

95 - 1080n for any integer n

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Explanation:

Notice how 1080 is a multiple of 360 since 360*3 = 1080. The other values 1450, 780 and 340 are not multiples of 360. For example 1450/360 = 4.02777 approximately. We need a whole number result to show it is a multiple.

Therefore, choice B shows subtracting off a multiple of 360 from the original angle 95. In my opinion, it would be better to write 95+360n or 95-360n to make it more clear we are adding or subtracting multiples of 360.

Choice B will find coterminal angles, but there will be missing gaps. One missing coterminal angle is 95-360 = -265 degrees. So again, 95-360n is a more complete picture. I can see what your teacher is going for though.

8 0

3 years ago

The ability to examine the variability of a solution due to changes in the formulation of a problem is an important part of the

PilotLPTM [1.2K]

Answer:

Sensitivity Analysis

Step-by-step explanation:

Sensitivity analysis is the study of how the uncertainty in the output of a mathematical model or system (numerical or otherwise) can be divided and allocated to different sources of uncertainty in its inputs.

4 0

2 years ago

Given that f(x) = 19x2 + 152, solve the equation f(x) = 0

telo118 [61]

Option A

The solution is:

$x = \pm 2i \sqrt{2}$

Solution:

$f(x) = 19x^2+152$

We have to solve the equation f(x) = 0

Let f(x) = 0

$0=19x^2+152$

Solve the above equation

$19x^2 + 152 = 0$

$\mathrm{Subtract\:}152\mathrm{\:from\:both\:sides}\\\\19x^2+152-152=0-152\\\\Simplify\ the\ above\ equation\\\\19x^2 = -152\\\\\mathrm{Divide\:both\:sides\:by\:}19\\\\\frac{19x^2}{19} = \frac{-152}{19}\\\\x^2 = -8$

Take square root on both sides

$x = \pm \sqrt{-8}\\\\x = \pm \sqrt{-1}\sqrt{8}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\x = \pm i\sqrt{8}\\\\x = \pm i \sqrt{2 \times 2 \times 2}\\\\x = \pm 2i\sqrt{2}$

Thus the solution is found

5 0

2 years ago

Malachai is doing a 20 miles bike ride. He has cycled 11 miles so far. What percentage of the the total distance has he cycled

Anestetic [448]

11 miles / 20 miles =.55
.55 x 100 = 55%
11/20 is the proportion and you multiply by 100 to gey a percent
another way to solve is
11/20 x 5/5 = 55/100 = 55%
you multiply by 5/5 because it is equal to one and it makes the denominator equal to 100 it also follows the rule that whatever you do to the top you must do with the bottom

5 0

3 years ago

Alice and Claire go apple picking. When they are done, Claire has 3 times as many apples in her basket as Alice has in hers. (No

ElenaW [278]

Answer:

6 apples, 21 apples, 30 apples respectively

Step-by-step explanation:

Let us first start by writing expressions so that we can easily solve for the problems below.

Let us suppose Alice is x. In this case, Claire has 3 times Alice's apples, so 3x.

1. If Alice has 2 apples (x), then Claire has 3x

3*2=6 apples

Claire has 6 apples.

2. If Alice has 7 apples (x), then Claire has 3x

3*7=21 apples

Claire has 21 apples.

3. If Alice has 10 apples (x), then Claire has 3x

3*10=30 apples

Claire has 30 apples.

I hope this helps! Please let me know if you have any further questions :)

5 0

3 years ago