let's first convert this to number form.
3^6 / 3^3= what?
to divide a number with the same base but different exponent, we simply subtract the second exponent by the first exponent.
3^6 / 3^3 = 3^6-3=3^3
12 goes into 53 how many times??
Answer:
12 goes into 53 4 times
Step-by-step explanation:
Answer:
4 times
Step-by-step explanation:
Complete the equation of the line thought (-6,-5) and (-4,-4) y= ?
Answer:
Step-by-step explanation:
A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nearest whole number.
Answer:
the volume of the sphere is
[tex]33.51 in^{3}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere and cube.
Given data
Volume of cube v = 64 cubic inches
since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,
we know that volume of cube is expressed as
[tex]v= l*b*h[/tex]
[tex]v=l^{3}[/tex]
[tex]64= l^{3}[/tex]
[tex]l= \sqrt[3]{64}[/tex]
[tex]l= 4 in[/tex]
also diameter d=length l
Diameter d= [tex]4in[/tex]
Radius r = [tex]\frac{d}{2}[/tex]= [tex]\frac{4}{2}[/tex]= [tex]{2 in}[/tex]
Height h=[tex]4in[/tex]
we know that the volume of a sphere is given by
[tex]v= \frac{4}{3} \pi r^{3}[/tex]
substituting into the formula we have
[tex]v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}[/tex]
The following wedge prism has a volume of
(1) 12.5 cubic inches
(2) 19 cubic inches
(3) 27 cubic inches
(4) 54 cubic inches
Answer:
The volume of the prism is 27 cubic inches.
Step-by-step explanation:
In order to calculate the volume of the given prism, we need to apply the correct formula. The volume of the wedge prism is given by the following formula:
[tex]Volume = \frac{1}{2}*b*h*l[/tex]
Applying the data from the problem on the equation above, we have:
[tex]Volume = \frac{1}{2}*6*4.5*2\\Volume = 6*4.5\\Volume = 27[/tex]
The volume of the prism is 27 cubic inches.
Solve for x in the equation x2+4x-4-8.
Answer:
x = 6
x = -2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Took the quiz
el volumen de un cubo es de 125 cm3 ¿ cuantas veses aumentara el volumen de ese cubo si se duplica la medida de su arista
Answer: 8 times.
Step-by-step explanation:
I will answer in English:
This says:
The volume of a cube is 125cm^3
How many times the volume will increase if we duplicate the lenght of the side?
If L is the lenght of the side, we have that the volume of the cube is:
V = L^3
If we duplicate the lenght of the side, the new volume is:
V = (2*L)^3 = 8*L^3
So we can see that the volume of the new cube is 8 times the volume of the previous cube.
Now, we can do the math, for our original cube we have:
L^3 = 125cm^3
L = 5cm
the new cube has L' = 2*L = 10cm
The volume of this cube is:
V' = L'^3 = 10cm^3 = 1000cm^3
the ratio V'/V is:
1000cm^3/125cm^3 = 8
2/v-7+v-6/v^2-7v=4/v-7
Answer:
v≈ -1.65573 ,v≈6.91725
Step-by-step explanation:
[tex]\frac{2}{v}-7+v-\frac{6}{v^2}-7v=\frac{4}{v-7}\\\mathrm{Find\:Least\:Common\:Multiplier\:of\:}v,\:v^2,\:v-7:\quad v^2\left(v-7\right)\\=\frac{2}{v}v^2\left(v-7\right)-7v^2\left(v-7\right)+vv^2\left(v-7\right)-\frac{6}{v^2}v^2\left(v-7\right)-7vv^2\left(v-7\right)=\frac{4}{v-7}v^2\left(v-7\right)\\Simplify\\=2v\left(v-7\right)-7v^2\left(v-7\right)-6v^3\left(v-7\right)-6\left(v-7\right)=4v^2\\\mathrm{Solve\:}\:2v\left(v-7\right)-7v^2\left(v-7\right)-6v^3\left(v-7\right)-6\left(v-7\right)=4v^2:\\[/tex]
[tex]v[/tex] ≈ -1.65573
[tex]v[/tex] ≈ 6.91725
v=0, v=7
Answer:
v=0, v=7
Step-by-step explanation:
Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators.
He has 727272 pencils and 242424 calculators and he must use all of the pencils and calculators.
If Zayed creates the greatest number of identical packages possible, how many pencils will be in each package?
Answer:
3 pencils will be in each packageStep-by-step explanation:
72 Pencils
24 calculators
72/24 = 3/1
for Every one calculator 3 Pencils need to be used
Greatest number of Package = 24 as 24 Calculators are there
number of pencils in each package = 3 ( 72/24 = 3)
Answer:
3 pencils will be in each package
Step-by-step explanation:
You divide 727272 by 242424 to get 3
Use the Distributive Property to simplify the expression.
2(x+12) = ???
Hey there!
The Distributive Property states that
a(b+c)=ab+ac
Where
a, b, and c can be
constants (real numbers)variables (letters)Now, let's simplify:
2(x+12)
multiply 2 times x and 2 times 12
2x+24
Hope everything is clear.
Let me know if you have any questions!
#LearningIsFun
:-)
Can someone help me pls
Answer:
YES
Step-by-step explanation:
57+45=102.
The triangle needs to have angles that add up to 180 so..
180-102=78
and that is the other degree instead of 45 on the other triangle
what is the value of x
Answer:
x = 73°
Step-by-step explanation:
a whole circle = 360°
so x + 50° + 91° + 2x = 360°
x+ 2x = 360°- 91° - 50°
3x = 219°
x = 219° ÷ 3
x = 73°
HOPE THIS HELP YOU!!! ;))))Please help! Correct answers only please!
You roll a 6-sided die two times.
What is the probability of rolling an odd number and then rolling a 3?
Simplify your answer and write it as a fraction or whole number.
Answer:
The answer would be 2/3.
Step-by-step explanation:
There are 6 faces on a dice 3 of which are odd which would be 1/2. Then there is one face on a dice that has 3 dots on it which would 1/6. So 1/2+1/6= 4/6 which simplifies to 2/3.
Skylar drove 280 miles in 5 hours. If she continued at the same rate, how far would
she travel in 20 hours?
Answer:
1,120
Step-by-step explanation:
If you divide 280 and 5 you get 56. Then you multiply 56 and 20 and you get 1,120
When a person is selected at random from a very large population, the probability the selected person has green eyes 0.37. What is the probability that 4 people selected at random all have green eyes? Round your answer to 3 decimal places.
Answer:
0.019
Step-by-step explanation:
Here, we want to calculate the probability that 4 people selected at random have green eyes.
The probability of having green eyes = 0.37
Now, we are selecting 4 people and we want to calculate the probability that all have green eyes
That would be;
0.37 * 0.37 * 0.37 * 0.37 = 0.01874161 which is 0.019 to 3 decimal places
Which of the following is NOT a perfect square trinomial?
x^2+10x+25
x^2+16x+64
x^2+7x+49
4x^2+16x+16
If a+b=9 and ab=18,find the value of a and b.
Answer:
Given:
a + b = 9
=> a = 9 - b
Given:
a x b = 18
=> (9 - b) x b = 18
=> 9b - b^2 = 18
=> b^2 - 9b + 18 = 0
=> (b - 3)(b - 6) = 0
=> b = 3 => a = 6
=> b = 6 => a = 3
Hope this helps
:)
What is the slope of the line?
Answer:the slope is 2
Step-by-step explanation:
rise over run 2/1
Answer:
2
Step-by-step explanation:
The line rises by 2 and runs by 1.
what is the measure of theta in radians?
Answer:
1.5 radians
Step-by-step explanation:
theta= arc length/radius
6/4= 1.5 radians
The ratio of the number of squares to the number of triangle is _: _. The number of triangles that need to be added to make the ratio of the number of squares to the number of triangles 1:1 is _.
Answer:
5:2
6
Step-by-step explanation:
I simplest form it is 5:2
You need 6 more triangles
pls find the area of this shape thx
Answer:
20
Step-by-step explanation:
Area = ((7+3) x 4) ÷ 2 = 20
Please help me!! What is x?
Answer:
x = 64
Step-by-step explanation:
90 + x + 26 = 180
116 + x = 180
x = 180 - 116
x = 64
Answer:
x=64
Step-by-step explanation:
x and 26 are complementary, which means they add to 90 degrees.
x+26=90
We want to find x, so we have to get x by itself. 26 is being added on to x. To undo this, subtract 26 from both sides, because subtraction is the opposite of addition.
x+26-26=90-26
x=90-26
x=64
So, x is 64 degrees
Answer the question below.
Answer:
1247.03
Step-by-step explanation:
if £1=$1.35
?=$125(crisscross them to get an answer.)
$125×£1÷$1.35=£92.59
if £1=$1.35
?=$6(crisscross to get an answer.)
$6×£1÷$1.35=£4.44
so you add them all up
£1150+£4.44+£92.59= £1247.03
Evaluate the expression.
6. 14 - (9 + 8)2=
Answer:
-20
Step-by-step explanation:
14 - (9 + 8)2
Open bracket
14 - (17)2
14 - 17×2
14 - 34
= -20
Solve similar triangles can someone please answer help
Answer:
k=3.5
Step-by-step explanation:
1. Understand which lines are similar in the triangles. In this case, because we can see that the line YX is a hypotenuse and line QP is a hypotenuse we can see that YX and QP are similar. Therefore, we can see that YZ is similar to QR and ZX is similar to RP.
2. For finding an unknown side for similar triangles, you use the equation [tex]\frac{x}{y} =\frac{a}{b\\}[/tex] where x(also known as k) is the unknown side (QR), y is the similar side to the unknown(YZ), a is a known side(Let's use RP), and b is the similar side to the known side (In this cause, it would be ZX).
2. Plugging all the sides into the equation, it should turn into [tex]\frac{x}{10.5} =\frac{5.5}{16.5}[/tex].
3.After cross-multiply, you should get 16.5x=10.5×5.5 or 16.5x=57.75.
4. Then by dividing 16.5 on both sides, you should get 3.5
5. Every day of the week, Braxton earns $5 per hour for delivering newspapers. Braxton
also earns a weekly bonus of $15 if he arrives on time to work each day. Last week,
Braxton arrived on time to work every day and earned a total of $130 for h hours of
work. Based on this situation, how many h hours did Braxton work?
A 21 hours
B. 22 hours
C 23 hours
D. 24 hours
Answer:
23 hours
Step-by-step explanation:
If you multiply 5 by 26 you get 130. So by doing a little math you can find that 23 times 5 is 115, so then you add 15 and there you go. You've got your answer.
Hope this helped!!! :)
Concrete is made by mixing cement sand and gravel in the ratio 5:9:13 how much cement is needed to make 324 ft of concrete
Answer:
156 ft
Step-by-step explanation:
5x+9x+13x=324
27x=324
x=12
13(12)=156
780 miles on a full tank of 16 gallons find the rate of miles
Answer: 48.75
Step-by-step explanation:
Divide.
780/16=48.75
A horizontal line goes through the point (–7,10).
Which statements are true about this line? Check all that apply.
The slope of the line is zero.
Another point on the line is (3,10).
The y-intercept of the line is –7.
The equation of the line is y = 10.
Answer:
The slope of the line is zero
Another point on the line is (3,10).
The equation of the line is y = 10.
Step-by-step explanation:
an i get brainliest plz
Answer:
got right on edge
Step-by-step explanation:
HELP!!! 30 pts!
The circle below is centered at the point (-2, -3) and has a radius of length 3. Write the equation for the circle.
Answer:
(X+2)power of 2 + (y + 3)power of 2 = 9
Step-by-step explanation:
Answer:
[tex] (x + 2)^2 + (y + 3)^2 = 9[/tex]
Step-by-step explanation:
Center = (-2, - 3) = (h, k)
Radius (r) = 3
Equation of circle in centre radius form is given as:
[tex] (x - h) ^2 + (y - k) ^2 = r^2 \\
\therefore \{x - (-2)\}^2 + \{y - (-3)\}^2 = 3^2 \\
\purple {\boxed {\bold {\therefore(x + 2)^2 + (y + 3)^2 = 9}}} [/tex]
Sita and rita make remarks on question 4a b c sita says she can only make one equation which satisfies the given cindition rita says she can make infinite no. Of equations which satisfies the given conditions whom do u agree with justify your answer
Answer: I agree with Sita.
Step-by-step explanation:
An infinite number is a very big number which is impossible to physically achieve. I agree with Sita because when Rita is forming equations on and on to an extent of not knowing when to stop. That is when she can say to infinite. And I don't think this is possible.