evaluate the following expression. round your answer to two decimal places. log8 2.718
answers:
a:1.75
b:0.48
c:2.08
d:0.43

Answer:

The answer is 117.3 [tex]in^{3}[/tex].

Step-by-step explanation:

To solve for the volume of the cone, use the cone volume formula, which is   V = [tex]\frac{1}{3} \pi r^{2} h[/tex].

Next, plug in the information given from the problem, and the formula will look like V = [tex]\frac{1}{3} (\pi) (4 in^{2}) (7 in)[/tex].

Then, solve the equation, and the answer will be 117.3 [tex]in^{3}[/tex].

Answer:

1.

Step-by-step explanation:

1. sin 241 = sin(61 + π) = -sin61 = -t^(1/2)

2. sin^2 + cos^2 =1, cos 61= (1-t)^(1/2)

3. [2sin^2 (x)sin(x) +2cos^2 (x)sin(x)]/2cos(x) = 2sin(x) / 2cos(x) = tan(x)

4. tan (x), x do not equal to （π/2 +or- kπ）

x do not equal to 90，270。

Here is the answer with the explanation of how I got there. Hope it helps!

Answer:

240 cubic units

Step-by-step explanation:

5*6=30 (the base they show)

30*8=240

Step-by-step explanation:

Let's first rearrange so it's easier to look at: y = 2x +6

To find the perpendicular slope you need to find the negative reciprocal of m so flip and change the sign:

m= -1/2

Next plug in the point (0, -2) into the point-slope equation of a line:

[tex]y2 - y1 = \frac{ - 1}{2} (x2 - x1) \\ [/tex]

y-(-2) = -1/2 (x-0)

y + 2 = -1/2x

y = -1/2x - 2

Therefore the equation is y = -1/2x - 2

Answer:

The answer would be 12.9 .

Step-by-step explanation:

Hope this helps u .

Answer:

tip amount = $12.9

Step-by-step explanation:

bill = $ 86

tip = 15%

tip amount = tip % of bill

=15/100 * $86

=1290/100

=$12.9

Answer:

962.5 yd²

Step-by-step explanation:

The formula for a trapezoid is:

(a + b) ÷ 2 x h

Where a & b are the two side lengths and h is height.

Use the formula with the given measurements:

(39.2 + 10.8) ÷ 2 x 38.5 = 962.5

Area is measured in square yards, in this case.

FINAL ANSWER:

The area of the trapezoid is 962.5 yd²

Hope this helps!

-SpaceMarsh

Answer:

51m

Step-by-step explanation:

For this equation, you want to use pythagoras' theorem (or pythagorean theorem) to work out the hypotenuse (diagonal line)

The formula for this is a²+b²=c², where c is the hypotenuse.

We can sub in the 2 sides for a and b, turning the equation into 24²+45²=c².

Working out the squares gives 576+2025=c², which can be solved to c²=2601.

To get c, we must square root both sides, which results in c=51m.

**This question involves pythagoras' theorem, which you may wish to revise. I'm always happy to help!

the answer is in the picture

Answer:

11x5=55metres squared

Step-by-step explanation:

Answer:

2X+100 =8X+208

8X-2X=100-208

6X=-108

X=-18

8X+208=(8×-18)+208

=-144+208

=64

ANGLE 3=180-64

=116

Answer: The measurement of angle #3 on the photo you provided it would be a 300 Degree angle if that is what you're asking

Step-by-step explanation: If you're asking what measure of an angle #3 is the correct measurement is 300 Degrees

Answer: 40.192 cm

Step-by-step explanation:

the formula for circumference is [tex]2\pi r[/tex]

In this case we are using 3.14 for pi and the radius is 6.4

[tex](2)(3.14)(6.4)\\(6.28)(6.4)\\40.192[/tex]

Answer:

B. 40.192 cm

Step-by-step explanation:

Edge 2021

Answer:

(a^9/8)

Step-by-step explanation:

(a/b)^n = (a^n/b^n)

Answer:

84

Step-by-step explanation:

Score = 90

Standard deviation = 3

Score = mean + 2(standard deviation)

90 = mean + 2(3)

90 = mean + 6

Mean = 90 - 6

Mean = 84

Answer:

55° because 2and 6 are corresponding angles (they are equal)

6 and 8 are vertically opposite angles (they are equal)

Step-by-step explanation:

hope this is helpful

Answer:

x = -1 ± √17

Step-by-step explanation:

x² + 2x + 1 = 17

Subtract 1 form both sides

x² + 2x = 16

complete the square using half the x coefficent, 1) as the complete the square term

(x + 1)² = 16 + 1²

(x + 1)² = 17

Take the square root of both sides

x + 1 = ±√17

Subtract 1 from bot sides

x = -1 ± √17

Answer:

correct one is second option

Step-by-step explanation:

do by applying quadratic formula

E)6,2 is la reposta espero te sirva Friends

Step-by-step explanation:

tanks por los points

Answer:

4 and 3/4

Step-by-step explanation:

Multiplying 3/4 times 5 days will give you 3.75 hours (or 3 and 3/4ths)

1/2 times 2 days will give you one hour

adding these together will give you 4.75 or 4 and 3/4ths

Answer:

C

Step-by-step explanation:

3/4 * 5 + 1/2 * 2 = 15/4 + 1 = (15+4)/4 = 19/4 = 4.75 = 4 3/4

Answer:

9.09 meters per second

Step-by-step explanation:

100 divided by 11= 9.09 meters per second.

Answer:

There is a mistake in the question. x results in a decimal answer, which is not possible for number of hoops.

Step-by-step explanation:

Aileen: x

Zulie: 3x

Melody: 4 + x

Zoe: x - 3

Abigail: x - 3

82 = (x) + (3x) + (4+x) + (x-3) + (x-3)

Combine Like Terms

x + 3x + x + x + x = 7x

4 - 3 - 3 = -2

7x - 2 = 82

7x = 80

x results in a decimal answer, which is not possible for number of hoops.

Answer: (0, -2) or -2

Step-by-step explanation:

Sub in 0 for x since at the y intercept x is 0

[tex]y=5(0)^2+2(0)-2\\y=5(0)+0-2\\y=0+0-2\\y=-2[/tex]

Answer:

13cm

Step-by-step explanation:

if the area is 117 then to find out the missing length, you divide 117 by 9 which gets you 13.

to check its correct, 13 x 9 = 117cm^2

Answer:

smaller x =5

largee x =13

vertex of the parabola = (-7,-4)

Answer:

It's the second option, 0.13.

Step-by-step explanation:

Step 1 : Find how many marbles there are in the bag all together.

4 + 4 + 12 = 20 marbles all together

Step 2 : Find what the probability of choosing a red marble is first.

4 red marbles out of 20 marbles =

[tex]P_{1} = \frac{4}{20}[/tex]

Step 3 : Find the probability of choosing a yellow marble now.

Since one red marble was already taken, there are less marbles in total.

Instead of 20 marbles now there are only 19 marbles.

There are 12 yellow marbles out of 19 marbles =

[tex]P_{2} = \frac{12}{19}[/tex]

Step 4 : To get the probability of both of these events happening, we multiply the 2 probabilities.

[tex]\frac{4}{20}[/tex] · [tex]\frac{12}{19}[/tex] = [tex]\frac{12}{95}[/tex]

Step 5 : Express your answer as a decimal.

12 ÷ 95 = 0.12631578947

Rounded to the nearest hundreth that's 0.13.

It's the second option, 0.13.

Hope this helps, please mark brainliest if possible. Have a nice day. :)

The probability of choosing a red and then a yellow marble is 0.13.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

It is given that Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.

That means that there are a total of 4+4+12=20 marbles.

Now to find the probability that she pulled out a red marble first and a yellow marble second.

The probability of choosing a red marble out of 20 marbles is:

P = 4/ 20

The probability of choosing a yellow marble on the second draw is:

P = 12/19

Hence, the probability of choosing a red and then a yellow marble is:

P = 4/ 20 x  12/19

P = 0.13

Hence, the probability of choosing a red and then a yellow marble is 0.13.

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ5

Answer:

403

Step-by-step explanation:

divide 2.75 and 1,1109 and you will get your answer

Answer:

5/8

Step-by-step explanation:

SUM OF RATIOS = 5 + 3 = 8

fraction of blue sweet = blue sweet ratio / sum of ratios = 5/8

Answer:

Total number of wreaths = 3.5 wreaths

Step-by-step explanation:

Given:

Number of medium wreaths = x

Number of larger wreaths = 2[Number of medium wreaths]

Number of small wreaths = [1/2][Number of medium wreaths]

Find:

Total number of wreaths

Computation:

Total number of wreaths = Number of medium wreaths + Number of large wreaths + Number of small wreaths

Total number of wreaths = Number of medium wreaths + 2[Number of medium wreaths] + [1/2][Number of medium wreaths]

Total number of wreaths = x + 2x + 0.5x

Total number of wreaths = 3.5 wreaths

Answer:

The mean of x and y is equal to t.

Step-by-step explanation:

Given that,

The mean of t and t+2 is x.

The mean of t and t-2 is y.

i.e.

[tex]x=\dfrac{t+t+2}{2}\\\\x=(t+1)[/tex]

and

[tex]y=\dfrac{t+t-2}{2}\\\\x=(t-1)[/tex]

The mean of x and y is :

[tex]M=\dfrac{x+y}{2}\\\\M=\dfrac{(t+1)+(t-1)}{2}\\\\M=\dfrac{2t}{2}\\\\M=t[/tex]

Hence, the mean of x and y is equal to t.

the answer is -1. hope this helps :)

Answer:

4

Step-by-step explanation:

24/6=4