MATHEMATICS COLLEGE

Solve for the variable 8x + 15 = 63

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

63-15 =48 48/8 is 6

Answer 2

Answer:

Answer:

x = 6

Step-by-step explanation:

8x + 15 = 63

8x = 63 - 15

8x = 48

x = 48/8

x = 6

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A study was conducted to investigate the relationship between soda consumptions (servings per day) and weight gain (kgs) over a 2 year period and yielded the following linear regression results: weight gain over a 2 year period (kgs) = 4.5 + 0.25(servings of soda per day) what is the predicted weight gain over a 2 year period for someone that drinks 4 servings of soda per day?

Answers

Answer:

5.5kg

Step-by-step explanation:

Given that in a study conducted to investigate the relationship between soda consumptions (servings per day) and weight gain (kgs) over a 2 year period and yielded the following linear regression results:

Let y = weight gains over a two year period (kg) and

x = servings of soda per day

Then the regression equation estimated is

$4.5+0.25x =y$

Using this we can find unknown y for a given x.

When x =4 we get y by substituting x =4 in the equation

$y (4) = 1+4.5 = 5.5$

Weight gain = 5.5 kg.

Write the answer and solution ?

Answers

Answer

4. E

use PEMDAS

5. 36+18=54 so C

plug in x

6. 15=5x

x=3 so C

11. B

break the absolute value into pos and neg components

12.D

is not equal to so open circle

2x=14

2x=8

so 4 and 7 with open circles

Step-by-step explanation:

Cos²x + sin2x - 1 = 0, 0° ≤ x ≤ 90°, tan x =

Answers

Answer:

0 and arctan(0.5)

Step-by-step explanation:

if sin2x=2sinx*cosx and 1=sin²x+cos²x, then

cos²x+2sinxcosx-sin²x-cos²x=0;

2sinxcosx-sin²x=0; (to divide by cos²x)

2tanx-tan²x=0;

$\left[\begin{array}{ccc}tan(x)=0\n tan(x)=1/2\end{array} \ => \ \left[\begin{array}{ccc}x=pi*n\nx=arctan(1/2)+pi*n\end{array} \ => \ \left[\begin{array}{ccc}x=0\nx=arctan(0,5)\end{array}$

If log(x+3)-log(x-5)=log2What is the value of x?

Please answer with explanation and process

Answers

We use log(x) - log(y) = log(x/y) and log(x) = log(y) ⇔ x = y

$\displaystyle\log(x+3) - \log(x-5) = \log 2 \implies \log\left( (x+3)/(x-5) \right) = \log 2 \implies \n \n (x+3)/(x-5) = 2 \impliesx+3 = 2(x-5) \n \nx = 13$

Ten measurements of impact energy on specimens of A238 steel at 60 ºC are as follows: 64.1, 64.7, 64.5, 64.6, 64.5, 64.3, 64.6, 64.8, 64.2, and 64.3 J. a. Use the Student’s t distribution to find a 95% confidence interval for the impact energy of A238 steel at 60 ºC. b. Use the Student’s t distribution to find a 98% confidence interval for the impact energy of A238 steel at 60 ºC.

Answers

Answer:At 95% confidence interval, the lower end is 64.306 and the upper end is 64.614

At 98% confidence interval, the lower end is 64.268 and the upper end is 64.652

Step-by-step explanation:

Which best describes the relationship between the two triangles below?Triangle M N L. Angle M is 51 degrees and angle L is 36 degrees. Triangle F H G. Angle F is 51 degrees and angle G is 36 degrees.
Triangle M L N is similar to Triangle F G H because of the third angle theorem, Angle M is congruent to angle F, Angle L is congruent to angle G, and Angle N is congruent to angle H.
Triangle M L N may or may not be similar to Triangle F G H because the third angle is unknown.
Triangle M L N is similar to Triangle F G H because of the angle-angle criterion, Angle M is similar to angle F, Angle L is similar to angle G, and Angle N is similar to angle H.
Triangle M L N may or may not be similar to Triangle F G H because the side lengths are unknown.

Answers

Answer:

Step-by-step explanation:

This is because when two angles of a traiangle are equal, it is obvious that the third angle of the triangles is equal too. Therefore, when all three angles of a triangle are equal, they are similar with the third-angle theorem.

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