Answer:
log8 (2.718) = 0.48
Step-by-step explanation:
In 2.718 ÷ In 8 = 0.999896 ÷ 2.07944
= 0.4808
Expression ㏒₈2.718 = 0.43, since option d. is the correct solution to the given question.
What is a logarithm?The logarithm is a mathematical function with a number and a base whose solution is the power to which the base needs to be raised to obtain that number.
How do we evaluate ㏒₈2.718?We need to evaluate ㏒₈2.718.
We will use the base changing formula for the evaluation, which is given by:
㏒ₐX = ㏒ₓX/㏒ₓa
∴㏒₈2.718
= ㏒2.718/㏒8
= 0.4342494523/0.9030899869
= 0.4808484853
Rounding of the answer to two decimal places, ㏒₈2.718 = 0.48.
Learn more about the Logarithm at
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Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.
What is the probability that she pulled out a red marble first and a yellow marble second? Express your answer in decimal form, rounded to the nearest hundredth.
0.09
0.13
0.25
0.32
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.
What is the probability?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;
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please help with this. it’s for my final grade
the answer is -1. hope this helps :)
Please help!! ASAP
find the volume of the cone. round to the nearest tenth
7in
4in
[ ? ]in3
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].
All i need is the answer and any other information, i will rate give thanks, and maybe a brainliest. Help quickly!!!
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
In a bag there are blue sweets and red sweets. The ratio of blue sweets to red sweets is 5:3 What fraction of the sweets are blue?
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
Solve the following question. *
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.
A trapezoid has 39.2 yards base and 10.8 yards base, as well as 38.5 yards height. What is the area?
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
A rectangle has an area of 117 cm^2 and width of 9 cm. Find its lenght
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
Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 meter rectangle. He wants to put a chicken wire fence that stretches diagonal from one corner to the opposite corner. How many meters of fencing will Steve need?
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!
A student runs 100 meters in 11 seconds. What is the speed of the student?
speed = distance over time ; 1 mile = 1609 meters
Answer:
9.09 meters per second
Step-by-step explanation:
100 divided by 11= 9.09 meters per second.
2. Length of a rectangular park is 11 m and breadth is 5m. Find the area of the
park. If of the park is covered with plants and grass, find the remaining area.
Answer:
11x5=55metres squared
Step-by-step explanation:
Please help I am confused. (30 points)
Module 2: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.
Question: Triangle ABC: A(0, -1), B(0, 3) C(-3, 3) is transformed to triangle A'B'C': A'(5,0) B'(2,4) C'(5,4). Is this transformation a rigid motion? Explain how you know whether it is a rigid motion or not.
E)6,2 is la reposta espero te sirva Friends
Step-by-step explanation:
tanks por los points
Solve for x in the equation
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
please help asap. 0 0 0 0 0
Answer:
smaller x =5
largee x =13
vertex of the parabola = (-7,-4)
On a math exam, Joel had a score of 90, which was exactly 2 standard deviations above the mean. The standard deviation for the test is 3.
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
What is the y-intercept for y = 5x^2 + 2x -2?
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]
I will give BRAINLIEST to the correct answer
Find the measure of angle 3
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
Can somebody pls help me
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
Can anyone help me out?
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
Simplify the expression ( a^3/2)^3
Answer:
(a^9/8)
Step-by-step explanation:
(a/b)^n = (a^n/b^n)
24 shared between 6 students equals how many each
Answer:
4
Step-by-step explanation:
24/6=4
What is the circumference of the circle? Use 3.14 for Pi. A circle with radius 6.4 centimeters. 20.096 cm 40.192 cm 200.96 cm 401.92 cm
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
can someone help me here
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。
Find the equation of a line perpendicular to 2x-y+6=0 through the point (0, -2)
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
Volume as area of base times height
Cora is creating a rectangular prism. The base of her prism is shown below. She plans to have a height of 8
cubes.
What will the volume of the completed figure be?
cubic units
Help please
Answer:
240 cubic units
Step-by-step explanation:
5*6=30 (the base they show)
30*8=240
could really use some help on this!!
the answer is in the picture
Hannah has a part-time job making holiday wreaths. This week, she made x medium wreaths, twice as many large wreaths as medium wreaths, and 12 as many small wreaths as medium wreaths. In terms of x, how many wreaths did Hannah make this week?
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
Unit 1 Review
tatus
view
A total of 937 people attended the play.
Admission was $2.00 for adults and $0.75
for students. The total ticket sales
amounted to $1,109. How many students
and adults attended the school play?
First complete the equations below, where A
stands for Adults and S stands for Students.
Answer:
403
Step-by-step explanation:
divide 2.75 and 1,1109 and you will get your answer
The basketball team did not record how many baskets each player made during the last game. Zulie remembers that she made three
times as many baskets as Aileen. Melody knows that she made four more baskets than Aileen. Zoe thinks that she made 3 fewer baskets than Aileen.
Abigail is sure that she made the same number of baskets as Zoe. Altogether the five players made 82 baskets. How many baskets did each player
make?
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.
pls help me solve please show how you got the answer
Here is the answer with the explanation of how I got there. Hope it helps!
