The value of multiplying the factors of 3√2 * 2√5 * 8√18 is 288√5 in radical form
How to multiply the expression?The expression is given as:
3√2 * 2√5 * 8√18
Multiply the integers
3√2 * 2√5 * 8√18 = 3 * 2 * 8 *√2 *√5 * √18
This gives
3√2 * 2√5 * 8√18 = 48 *√2 *√5 * √18
Multiply the radicands
3√2 * 2√5 * 8√18 = 48 *√5 * √36
Take the square root of 36
3√2 * 2√5 * 8√18 = 48 *√5 * 6
Multiply 48 by 6
3√2 * 2√5 * 8√18 = 288√5
Hence, the value of 3√2 * 2√5 * 8√18 is 288√5
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A given line has the equation 10x 2y=−2 . what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y=−5x 12 5x y=12 y−12=5(x−0) 5x y=−1
The equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 1
Equation of a lineA line is the distance between two points
Given the equation of a line expressed as 10x + 2y = -2. Determine the slope
2y = -10x -2
y = -5x - 1
Slope of the line is -5
The equation of a line in point-slope form is y - y1 = m(x-x1)
Substitute the point and the slope of the parallel line
y - 12 = -5(x - 0)
y - 12 = -5x
y = -5x + 12
Hence the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 12
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Answer:
its d
Step-by-step explanation:
i got it
William ran 2 2/3 laps around a track in of an hour. If William keeps the 4/15 same pace, how many laps could he run in 1 hour?
Answer: Trust me if ur using acellus, the answer is 10
Step-by-step explanation: trust me, thank me later
William can run 10 laps in one hour with 4/15 same pace.
We have,
William ran 2 2/3 laps around a track in of an hour.
William keeps the 4/15 same pace.
So, William runs
= 2 2/3 ÷ (4/15)
= (8/3)÷ (4/15)
= 8/3 x 15/4
= 2 x 5
= 10 laps.
Thus, William runs 10 laps.
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An answer and explanation on how to solve this would be most appreciated.
Answer:
cos theta = 5/13
Step-by-step explanation:
sin theta = opp side / hypotenuse
opp side = 12 and hypotenuse = 13
Using the pythgorean theorem
opp ^2 + adj ^2 = hypotenuse ^2
12 ^2 + adj^2 = 13^2
144 + adj ^2 = 169
adj^2 = 169-144
adj^2 = 25
Taking the square root of each side
adj = 5
cos theta = adj / hypotenuse
cos theta = 5/13
A marble is randomly selected from a bag containing 3 red marbles, 3 blue marbles, and 3 green marbles. What is the probability that the selected marble is green?
Answer:
1/3 of a chance
Step-by-step explanation:
3 red, 3 blue, 3 green
that all adds to 9 marbles and there are 3 out of 9 marbles that are green.
the probability is 3/9 or 1/3
HEL ASAP
Solve for x.
2(3x + 4) = 7x – 2x + 1
Answer:
x= -7
Step-by-step explanation:
[tex]~~~~~~2(3x+4) = 7x-2x+1\\\\\implies 6x +8 = 5x+1\\\\\implies 6x -5x = 1-8\\\\\implies x = -7[/tex]
Can someone help with this??
Answer:
2x+1
Step-by-step explanation:
The fuction of g(x) is 2x
And the function of f(x) is x+1
So we plug in g(x) in f(x)
2x would be plugged in x in x+1 then we add the 1
(2x)+1
ABCD is a rhombus. The coordinates of A are (5, 11) The equation of the diagonal DB is y = 3x + 5 The equation of the diagonal AC can be written in the form y = mx + Ċ where m and c are integers. Work out the value of m and the value of c.
Applying the definition of the diagonals of a rhombus, the value of m is -3, and the value of c is 26.
What are the Diagonals of a Rhombus?The diagonals of a rhombus are perpendicular to each other and therefore have slopes that are negative reciprocals.
Equation of diagonal DB is, y = 1/3x + 5.
Slope (m) of DB is 1/3.
Therefore, the slope (m) of diagonal AC would be, -3.
To find the equation of diagonal AC, substitute m = -3 and (5, 11) = (a, b) into y - b = m(x - a)
y - 11 = -3(x - 5)
y - 11 = -3x + 15
y = -3x + 15 + 11
y = -3x + 26
m = -3; c = 26
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Richard Henry takes out $25,000 of ordinary whole life when he is forty-three years old.
a, annual premium
b. semiannual premium
The ordinary whole life will mature after 57 years. Then the annual premium (AP) and the semiannual premium will be $ 438.60 and $219.30.
What is an ordinary whole life?A whole life insurance policy in which the premiums are paid for the duration of the insured's life. The contract somehow doesn't mature until the designated insured achieves the age of 100 or dies, whatever comes first.
Richard Henry takes out $25,000 of his ordinary whole life when he is forty-three years old.
The ordinary whole life will mature after 57 years.
Then the annual premium (AP) will be
[tex]\rm AP = \dfrac{\$ 2 5000}{57}\\\\AP =\$ 438.60[/tex]
Then the semiannual premium (SAP) will be
[tex]\rm SAP = \dfrac{\$ 2 5000}{57 \times 2}\\\\SAP =\$ 219.30[/tex]
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You want to obtain a sample to estimate a population proportion. at this point in time, you have no reasonable estimate for the population proportion. you would like to be 95% confident that you esimate is within 1% of the true population proportion. how large of sample size is required?
The sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
As we know, the sample size can be evaluated using the expression:
[tex]\rm ME = Z_c\sqrt{\dfrac{pq}{n}}[/tex]
or
[tex]\rm n = \dfrac{Z^2}{ME^2}(pq)[/tex]
Here ME = 1% = 0.01
p = 0.5, q = 0.5
Z at α 0.05 (because 95% confident)
= 1.960
[tex]\rm n = \dfrac{1.960^2}{0.01^2}(0.5\times0.5)[/tex]
n = 9604
Thus, the sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.
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8.000+900+70+6 9.000+900+90+6 2.000+60+4 10.000+5.000+200+1 10.000+700+60+3 10.000+3.000+400+7 10.000+2.000+800+20+5 10.000+4.000+400+50+4 10.000+1.000+300+10+1
Answer:
8976 9996 2064 15201 10763 13407 12825 14454 11311
Find the Mean given Normal Curve Values
Answer:
mean = 33
Step-by-step explanation:
29 = mean - 2sd => 2sd = mean - 29
37 = mean + 2sd
37 = mean + mean - 29
mean = 66/2 = 33
5x−2(x+1)=1/4 find x pretty please
Answer:
Delaney solve for X by isolating it, or getting it by it self
Step-by-step explanation:
5x−2(x+1)=1/4 (distribute the 2)
5x-2x - 2 = 1/4 (subtract 2x from 5x)
3x -2 +2 = 1/4 +2 (add 2 to both sides)
3x = 2_1/4 (put 2 & 1/4 together)
3x = 9/4 (convert 2_1/4 to 9/4)
[tex]\frac{1}{3}[/tex]*3*x = [tex]\frac{1}{3}[/tex]*[tex]\frac{9}{4}[/tex] ( mutilply both sides by 1/3)
X = 3/4 (cross multiply )
There you go
X = [tex]\frac{3}{4}[/tex]
Answer:
[tex]\huge\boxed{\bf\:x = \frac{3}{4}}[/tex]
Step-by-step explanation:
[tex]5x - 2(x+1)=\frac{1}{4}[/tex]
Use the distributive property for 2(x + 1).
[tex]5x - 2x - 2= \frac{1}{4}[/tex]
Subtract 2x from 5x.
[tex]3x - 2= \frac{1}{4}[/tex]
Bring 2 to the right hand side of the equation .
[tex]3x = \frac{1}{4} + 2[/tex]
Add 1/4 & 2.
[tex]3x = \frac{1}{4} + \frac{8}{4} \: \: [LCM = 4]\\3x = \frac{9}{4}[/tex]
Now, bring 3 to the right hand side of the equation .
[tex]x = \frac{9}{4} \times \frac{1}{3}\\x = \frac{9}{12}\\\boxed{\bf\:x = \frac{3}{4}}[/tex]
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help please it’s almost due
Answer:
77.4 is the circumference of the circle
Step-by-step explanation:
8.8 squared (8.8 times 8.8) gives you 77.44, but rounded to the nearest tenth, it is 77.4
A bag contains 10 marbles: 6 are green, 2 are red, and 2 are blue. Melissa chooses a marble at random, and without putting it back, chooses another one at
random. What is the probability that both marbles she chooses are green? Write your answer as a fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
the probability of the first is 6/10 or simplified 3/5
she then repeats its without putting the marble back 5/9 (as she has to remove a green marble)
to find the odds multiply 5/9 and 3/5 you get 15/45 reduced to 1/3, so the probability is 1/3
In the same area where there are 3 Mankey Pokemon, 4 Pidgey Pokemon, and 2 Rattata Pokemon. What would be the probability of running into a Mankey Pokemon and then a Pidgey Pokemon (each time you defeat one it is replaced on the map)?
The probability of you running into a Mankey Pokemon and then a Pidgey Pokemonis 4/27.
Answer:
there is a 3 in 9 percent chance you can find a manky
Step-by-step explanation:
i say pidgey is better pedgiot is cool and very usefull and pidgey can help you in the vridian foreast becasue of all the bug types
Please help with these question
please fill in the venn diagram and answer the question below. thanks!!!
Step-by-step explanation:
you understand how a venn diagram works ?
you have to put elements or the amount of elements into the different segments. there are segments that belong to only one category, segments with elements that are shared between 2 neighboring categories, and in this case 1 segment in the middle that has all elements shared between all 3 categories.
so, we know, the total of all elements (fans) is 36.
now imagine we place every fan exactly into the segment, where his or her allegiance lies.
the easiest way to start is with the center. there are 5 fans there, so write 5 in there.
these 5 people are therefore also part of the total number of Wild fans, of the Viking fans and the Twins fans, and of all the shared segments, of course.
so, we have only 7-5 = 2 shared Wild and Vikings only fans (in the segment above the center segment). they are not fans of the Twins.
we have 9-5 = 4 shared Wild and Twins only fans (in the segment left below the center). they are not fans of the Vikings.
we have 11-5 = 6 shared Vikings and Twins only fans (in the segment right below the center). they are not Wild fans.
what is left for the pure, single team fans ?
the Wild have 12-5-2-4 = 1 pure fan.
the Vikings have 16-5-2-6 = 3 pure fans.
the Twins have 22-5-4-6 = 7 pure fans.
so, we have 1+3+7 = 11 pure fans, 2+4+6 = 12 double team fans, and 5 all 3 teams fans. but that is only 28 fans altogether.
so, something is not right with the data here.
I assume we have 28 total from now on.
for Viking AND Wild fans we have the 2 fans that only like these 2 teams plus the 5 that like all 3 teams (including the Vikings and the Wild) = 7 out of the total of 28 fans.
the probability to pick one of them is then
7/28 = 1/4 =0.25
if the total of 36 questioned fans is still there and explained maybe outside of the given venn diagram (e.g. were asked but are fans of a totally different team or of no team at all), then the probability would be
7/36 = 0.194444444...
2x - 6 - 4x + 12 = 18 help
Answer:
Solve for X
Step-by-step explanation:
X = 6
Answer:
If you're trying to find x, it is [tex]\sf -6[/tex]
Divide each side by factors that do not contain the variable.
Check your Understanding Direction: A. Solve each problem. The letter with the correct answer will identify the material blasted into the air by an eruption. It includes solid lava and volcanic bombs T A 3 375 cm³ 7 cm 3240 cm³ 8cm P- The volume of a cube is 343 cm³. What is the length of the edge? H - A sewing box is 18 cm by 15 m by 12 cm. What is the volume? E - A cubical - shaped box has an edge of 15 cm. Find its volume. R - A rectangular box has a volume of 864 cm³.If the length is 12 cm and the width is 9 cm, how long is the box?
According to the results of each operation, it can be inferred that the word that is formed with the initial of each problem is TEPHRA.
How to calculate the area of a rectangular prism?To calculate the area of a rectangular prism we must use the following formula:
V = area of the base of the prism × height of the prismWe can use this formula to solve several of the problems posed as shown below:
problem E
Volume = (15cm × 15cm) × 15cm
Volume = 225 × 15cm
Volume = 3,375 cm³
Problem H
Volume = (15cm × 18cm) × 12cm
Volume = 270 × 12cm
Volume = 3,240 cm³
Problem P
Volume = (7cm × 7cm) × 7cm
Volume = 49 × 7cm
Volume = 343 cm³
Problem R
Volume = (9cm × 12cm) × 8cm
Volume = 108 × 8cm
Volume = 864 cm³
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Martin tracked the amount of water he drank for an entire week. The bar graph shown here displays the information about his water consumption.
What is the mode of the daily data?
A) 8
B) 10
C) 12
D) 14
Answer:
c) 12
Step-by-step explanation:
since on the bar graph 12 occurs the most that is the mode so hope this helps!
What is 18 divided by 14?
I want it to be solved by hand - not Calculator.
If Correct I'll give Brainiest.
Answer:
1.28571
Step-by-step explanation:
is the answer
What is a volume of a rectangular pyramid with a height of 15 cm, length of 10 cm and width of 11 cm
Answer:
Right rectangular pyramid
Solve for volume
V=550cm³
Base length
10cm
w Base width
11cm
Pyramid height
15cm
Step-by-step explanation:
Hope it helps.
find the length of each side of an equilateral triangle if the height is 10 in.
Answer:
20√3/3 or approx. 11.55 in.
Step-by-step explanation:
Draw an equilateral triangle with one height to one side.
The height divides the triangle into two congruent right triangles.
At the vertex where the height is, each angle of the small triangles is 30 deg.
The other acute angle of the right triangle measures 60 degrees.
The two right triangles are 30-60-90 right triangles.
The ratio of the lengths of the sides of a 30-60-90 right triangle is
1 : √3 : 2
The height is opposite the 60-deg angle, so it corresponds to the side with length √3 in the ratio.
The long leg measures 10.
The short leg measures 10/√3 = 10√3/3
The hypotenuse measures 20√3/3
The side of the equilateral triangle is the hypotenuse of each small right triangle.
Answer: 20√3/3 or approx. 11.55 in.
EXPLAIN the difference between theoretical and experimental probability. Use an example.
Step-by-step explanation:
Theoretical probability describes how likely an event is to occur. We know that a coin is equally likely to land heads or tails, so the theoretical probability of getting heads is 1/2. Experimental probability describes how frequently an event actually occurred in an experiment.
EXAMPLE-
Theoretical probability:
For instance, since a flipped coin has two sides and each side is equally likely to land up, the theoretical probability of landing heads (or tails) is exactly 1 out of 2.
Experimental probability:-
For example, the probability of getting a head if you flip a coin is ½, since only 2 things could happen (a head or a tail) and each one has an equal chance of occurring.
mark me as brainliest if possible. :)
Erica travels 4 blocks right and 4 blocks up between 2 locations on the map. which two locations does she travel between? (4 points)
a coordinate plane with the origin point, where the horizontal and vertical lines meet labeled zero. the horizontal line labeled x has tick marks numbered from one to ten. the vertical line labeled y has tick marks numbered from one to ten. there are six locations plotted on the coordinate plane. the soccer field is at two, two. the ice cream parlor is at one, six. the park is at six, six. the school is at nine, two. the town hall is at four, nine. the ice rink is at nine, ten.
a
town hall and ice rink
b
park and town hall
c
ice cream parlor and town hall
d
soccer field and park
Answer:
the answer is ice cream parlor and town hall
Step-by-step explanation:
because if you for 3 times right and 3 times up from ice cream parlor it will land to town hall
Question 11 of 11 The 6 students in Mrs. Baker's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered. 4, 9, 12, 14, 7, 7. Find the mean and median travel times for these students. If necessary, round your answers to the nearest tenth.
Answer:
Mean=8.8, Median=8
Step-by-step explanation:
How to find the mean:
First, add all the #'s up. 4+9+12+14+7+7=53
Then divide that by the number or numbers. In this case it is 6.
53/6=8.833... So rounded=8.8
Median:
List numbers lowest to highest
4, 7, 7, 9, 12, 14
Go to the middle number.
Since it is between 7 and 9, it is 7+9=16. 16/2=8
8 is the median
Find the surface area of the composite figure. 2 cm 7 cm 2 cm 12 cm 12 cm 7 cm 7 cm
Step-by-step explanation:
12x7 + 2x7 = 84 + 14 = 98
sa=98
For the image, its surface area is mathematically given as
x= 98cm^2
What is surface area?The surface area of a three-dimensional object is the amount of space that covers the exterior of the object.
In conclusion, calculating the individual surfaces we have
x=12x7 + 2x7 = 84 + 14
x= 98cm^2
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3. Solve the system:
y = x2 - 4x + 6
y = x + 2
5/9 x 4
PLS SHOW YOUR WORK IT HELPS ME A LOT!! :) TY
Answer:
20 over 36
You cant put into mixed fraction
Answer: 2 2/9
Step-by-step explanation:
5/9 * 4 = 20/9 = 2 2/9
Order the following numbers from least to greatest.
Help please
Answer:
[tex]2\frac{1}{3}[/tex], [tex]\sqrt{7}[/tex], [tex]\sqrt[3]{27}[/tex]
Step-by-step explanation:
If you want to make ordering these three numbers to be easier, it's best to find their exact or approximate values. [tex]\sqrt[3]{27}[/tex] is equivalent to 3, and [tex]\sqrt{7}[/tex] is less than [tex]\sqrt{9}[/tex] - which is 3 - so you know that [tex]\sqrt[3]{27}[/tex] is going to be the greatest number out of the set. Since [tex]\sqrt{7}[/tex] is approximately equal to 2.65, and [tex]2\frac{1}{3}[/tex] is approximately equal to 2.33, you can conclude that the correct order from least to greatest is going to be [tex]2\frac{1}{3}[/tex], [tex]\sqrt{7}[/tex], [tex]\sqrt[3]{27}[/tex].
