find the following right triangle, find the side length x

Number 1.

[tex]5^x=2[/tex], first we will take the [tex]log[/tex] of both of these numbers getting us,

[tex]x=\frac{log(2)}{log(5)}[/tex], which then gives us that [tex]x=0.4306777777....[/tex]

Number 2

[tex]e^x=10[/tex], solve for our exponent, [tex]2.718282^x=10[/tex], use the logarithmic formula, and we get,

[tex]x=\frac{log(10)}{log(2.718282)}[/tex], which then we get that [tex]x=2.302585[/tex]

This would be C because 27 and 1 are the only factors that can be cubed (remember, when there is no number, 1 is represented)

Answer: C

Step-by-step explanation:

Using it's concept, the sample space for the experiment is:

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

Hence, considering the combinations, the sample space is, considering Shirt-Pants-Shoes:

{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}

The complement of P(John wears something red) is all outcomes in which he does not wear anything red, hence it is a Blue or Black shirt, along with any combination for the pants and the shoes.

You can learn more about sample space at https://brainly.com/question/25861936

Answer:

156 degrees

Step-by-step explanation

First we need to figure out what X is. To do that we set up the equation 7x+3=8x because vertical angles are congruent. After solving that we get x=3. We plug 3 back into each equation and we get that angle ACE equals 24. Since angle ACE and angle DCE are supplementary we know that they will equal 180 so we subtract 24 from 180 and get 156 as the final answer.

Hope this helps!

Answer:

8x + 13

Step-by-step explanation:

"Like terms" means the same kind of algebraic expression...the 6x and the 2x are "like terms" because they both have an x in them. The 9 and the 4 are both constants, which means they are plain numbers. So 6x and 2x is 8x .

9+4 is 13 just like elementary school.

So all together,

6x + 9 + 2x + 4

6x + 2x + 9 + 4

8x + 13

We can rearrange the terms because the problem has all addition in between the terms.

Answer:

40x --14

Step-by-step explanation:

Multiply 9 and 2 to get 18

Use distribute property

Multiply 8 by 5x -15

Subtract 32 from 18 = -14

Answer:

  XY = 11.25

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

  XY/5 = 18/8

  XY = 5(9/4) = 45/4

  XY = 11.25

Answer:

10,485,760

Step-by-step explanation:

Multiply -4

is this one of your answer choice?

Answer:

x=-19

Step-by-step explanation:

3x-9=2(x-14)

3x-9=2x-28

x-9=-28

x=-19

Answer:

The data covers 58 to 86 = 28 for the total distance

Each quartile will occupy a difference of 28/4 = 7

58 - 65 = first quartile (or lower quartile)

65 - 72 = second quartile

72 - 79 = third quartile

79 - 86 = fourth quartile (or upper quartile)

Notice that the first quartile ends at 65 and the second quartile starts at 65

If you divide a straight line accordingly there must not be an empty space between the first and second quartile to be all inclusive

The median is the middle point or 58 + 14 = 72

14 points lie in the range of 58 to 72 and

14 points lie in the range of 72 to 86

[tex]\dfrac{\sqrt 5}{\sqrt 3} =\sqrt{\dfrac 53} \approx 1.291[/tex]

(a) It looks like you're saying

[tex]\displaystyle F(x) = \int_0^x (t - 3t^2 + 7) \, dt[/tex]

Find the critical points of F(x). By the fundamental theorem of calculus,

F'(x) = x - 3x² + 7

The critical points are where the derivative vanishes. Using the quadratic formula,

x - 3x² + 7 = 0   ⇒   x = (1 ± √85)/6

Compute the second derivative of F :

F''(x) = 1 - 6x

Check the sign of the second derivative at each critical point.

• x = (1 + √85)/6 ≈ 1.703   ⇒   F''(x) < 0

• x = (1 - √85)/6 ≈ -1.370   ⇒   F''(x) > 0

This tells us F attains a minimum of

[tex]F\left(\dfrac{1-\sqrt{85}}6\right) \approx \boxed{-6.080}[/tex]

(b) Split up the domain of F at the critical points, and check the sign of F'(x) over each subinterval.

• over (-∞, -1.370), consider x = -2; then F'(x) = -7 < 0

• over (-1.370, 1.703), consider x = 0; then F'(x) = 7 > 0

• over (1.703, ∞), consider x = 2; then F'(x) = -3 < 0

This tells us that

• F(x) is increasing over ((1 - √85)/6, (1 + √85)/6)

• F(x) is decreasing over (-∞, (1 - √85)/6) and ((1 + √85)/6, ∞)

(c) Solve F''(x) = 0 to find the possible inflection points of F(x) :

F''(x) = 1 - 6x = 0   ⇒   6x = 1   ⇒   x = 1/6

Split up the domain at the inflection point and check the sign of F''(x) over each subinterval.

• over (-∞, 1/6), consider x = 0; then F''(x) = 1 > 0

• over (1/6, ∞), consider x = 2; then F''(x) = -11 < 0

This tells us that

• F(x) is concave up over (-∞, 1/6)

• F(x) is concave down over (1/6, ∞)

Answer:

8.52

Step-by-step explanation:

9.8 divided by 1.15 = 8.52

Answer:

can you please send the picture as well because for this

(The length of the deck is shown in the figure.=??)

figure is needed ..

Answer:

The answer which I think is 3_4

Answer:

Yes

Step-by-step explanation:

ANSWERS:

[tex]1. False \\ 2. True \\ 3. False \\ 4. True \\ [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

the last one

Step-by-step explanation:

because those are oppiste poles

Answer:

A

Step-by-step explanation:

125% of 25 is the same as 5/4 of 25.

Divide by 5 and you get 5. 1/4 is 5, so 100% or 4/4 is 20

Answer:

it's a

Step-by-step explanation:

trust

31

If you had 60 t-shirts and wore 4 and had 25 you do 25+4=29 then you do 60-29 that =31 so you will have sold 31 t-shirts

Answer: 4oz

Step-by-step explanation:

Answer:

$1155

Step-by-step explanation:

10% of the first $900 is $90.

The rest of her sales is 8000 - 900 = 7100. 7100 * .15 = 1065.

Add them together to get $1155.

Answer:

B

Step-by-step explanation:

Answer:

18f+35g

Step-by-step explanation:

Negative six times negative three will be equivalent to positive f, as negative negative five times negative seven equals thirty-five.

Answer:

≈ 11.78 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{\frac{\pi }{4} }{2\pi }[/tex] ( cancel 2π on numerator/ denominator )

     = 15 × [tex]\frac{\pi }{4}[/tex]

     = [tex]\frac{15\pi }{4}[/tex]

     ≈ 11.78 in ( to 2 dec. places )

Answer:

4xp-9

Step-by-step explanation:

Answer:

A-4.51

Step-by-step explanation:

I was going to ask to what place but then I saw all the others wouldn't make sense.

Answer:

Diagonal and horizontal lines

Step-by-step explanation:

To answer this question it is first important to know what a function is. A function is a relationship that has a singular y value for each x-value. This means that x-values will never repeat.

Linear functions are functions that increase in a constant way. Meaning that the slope of the line is constant and there is a common difference between the points. Because the change is constant, there is no change in direction. Thus, the function will be one straight line.

This line can obviously be diagonal because a diagonal line has unique x and y values. However, the line can also be horizontal. Horizontal lines many have repeating y-values but because the x-values don't repeat it is still a function. This reason is also why vertical lines are the only straight line to not be a liner function. In vertical lines, the x-values repeat. So, it does not work as a function.