Answer:
V = 262’144 ft^3, surface area = 24’576 ft^2
Step-by-step explanation:
The volume con be find with this formula =
V = side^3
V = 64^3 = 262’144 ft^3
For find the surface area we can proceed in this way: first of all we can find the area of a face.
A = side^2 = 4096 ft^2
a cube has 6 faces, so we have to the mutiply the value six times.
Surface area = 4096 x 6 = 24’576 ft^2
A bag contains 10 blue counting chips and 10 red counting chips. What is the probability that, without looking, Miguel will pick a blue chip first, which he will keep, and on his second draw Miguel will select a red chip?
1/10
11/21
5/38
5/19
Answer: 5/19
Step-by-step explanation:
(probability of blue chip)/(total chips) x (probability of red chip)/(new total chips)
10/20 x 10/19 = 100/380
simplify: 5/19
Complete the point-slope equation of the line through (-9,6) and (−7,−8)
y−6=
Answer:
its 9 :)
Step-by-step explanation:
hkjgh
how many five-miute segments are in 3\4 of an houre
i need help and fast is 23 points good
Answer: 9
Step-by-step explanation: because 3/4 of an hour is 45 minutes and 45/5 is 9 and it’s in 5 min segments that’s why you divide 45 by 5
sorry for the first one i read the question wrong
A square has an area of 100 square meters.
What is the perimeter of the square?
Answer:
40 square meters
Step-by-step explanation:
Perimeter means to add up all sides.
area means one side times one side
10 times 10 makes 100 so i am guessing each side is 10
10 + 10 + 10 + 10 = 40
I need work shown as well
Answer:
Step-by-step explanation:
the area of the squared is 5 * 5 = 25
the area of the triangle is 1/2*base*height = 1/2*2*5= 5
the area of the circle is [tex]\pi[/tex][tex]r^{2}[/tex] = [tex]\pi[/tex][tex]2.5^{2}[/tex] = 19.625
now add the pieces up for the total
25+5+19.625 = 49.625 [tex]in^{2}[/tex]
:)
First, find the area of the semi-circle.
A= pi*radius squared
Find your radius. The diameter is 5, half of that is 2.5
Input into the formula
A= pi*2.5^2
=3.14*6.25
=19.625 in^2
You can round that to about 19.6 inches.
Find the area of the square
A=s^2
= 5^2
= 25 in^2
Find the area of the triangle.
A= b*h/2
= 2*5/2
= 10/2
= 5 in^2
Add it all up.
19.6+ 25 + 5= 49.6
∴ 49.6 in²
Best of luck!
A bowl contains 10 red balls and 10 blue balls.A woman selects balls at random without looking at them. How many balls must she select to be sure of having at least three balls of the same color?
Answer:
5 balls
Step-by-step explanation:
Sorry if it's wrong.
solve (x – 5)^2 = 17
Answer:
x = 5 ± √17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsMultiple RootsStep-by-step explanation:
Step 1: Define
(x - 5)² = 17
Step 2: Solve for x
[Equality Property] Square root both sides: x - 5 = ±√17[Addition Property of Equality] Add 5 on both sides: x = 5 ± √17What is the opposite of - 1/4 ?
Answer:
1/4
Step-by-step explanation:
Christopher sold his dinette set for $245 through an online site, which charged him 9% of the selling price as commission. what is the commission?
Answer:
$22.05
Step-by-step explanation:
If a product has a sales commission, then one must divide the commission percent by (100) to convert the percent to a decimal. Then multiply the result by the price of the product to find the amount of money that will be given as a commission.
Applying this knowledge to the given problem, one must divide (9%) by (100) to convert to decimal form,
9% / 100 = 0.09
Now multiply the result by the price of the product (245) to find the amount given away in commission,
0.09 * 245 = 22.05
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x^2-8x-3
Answer:
x = 1 and vertex = (1, - 7 )
Step-by-step explanation:
Given a quadratic function in standard form
y = ax² + bx + c ( a ≠ 0 )
The the equation of the axis of symmetry which is also the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = 4x² - 8x - 3 ← is in standard form
with a = 4, b = - 8 , then
x = - [tex]\frac{-8}{8}[/tex] = 1
That is equation of axis of symmetry is x = 1
Substitute x = 1 into the function for y- coordinate of vertex
y = 4(1)² - 8(1) - 3 = 4 - 8 - 3 = - 7
vertex = (1, - 7 )
it took bryan one hour to ride 6 1/4 miles on his bike. how far will bryan be able to ride in 3 1/2 hours?
A 21 7/8
B 9 3/4
C 5 1/2
D 9 1/4
ayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches? A rectangular prism has a length of 8 inches, a width of 2 inches, and a height of 4 inches. Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height. Inches cubed
Answer:
[tex]64(in)^{3} [/tex]
Step-by-step explanation:
The volume of a box is equal to the length l times the width w times the height h.
[tex](lenght) \times (width) \times (height)[/tex]
Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.
[tex]8 \times 2 \times 4[/tex]
Multiply 8 by 2.
[tex]16 \times 4[/tex]
Multiply 16 by 4.
[tex]64 {in}^{3} [/tex]
Hence, the volume of the rectangle prism is 64(in)³.
Answer:
64 in³Step-by-step explanation:
Given dimensions:
l = 8 inw = 2 inh = 4 inVolume of the prism is:
V = lwhV = 8*2*4 = 64 in³What are the outliers???
Auntie Sammy buys a hand bag. There was a discount
of 20%.
If Auntie Sammy paid $245, what was the original price?
Answer:
Step-by-step explanation:
I think the original proce would be $265
1. Subtract the percentage discount from 100
100 - 20= 80
2. Multiply the final price($245) by 100
245 × 100= 24,500
3. Divide the answer in step 2 by the answer in Step 1
24,500 ÷ 80= $306.25
answer is $306.25
How to check to ensure your answer is correct:
1. Multiply the "answer" by the discount price divided by 100. This will give the discount percentage in dollars.
$306.25 × 0.2( which is 20÷100)= $61.25(discount in dollars)
2. Subtract the discount in dollars from the "answer"
$306.25 - $61.25= $245(final price is the same as in the problem so it is correct)
OR
1. Multiply the original price by the number you get from step 1 in your problem divided by 100
$306.25 × 0.8(80 from the very first step divided by 100)= $245(the final price is the same given in the question)
Help me solve for x. 16^x = x^2
Wilson Swartz rents a car for 5 days at $51.29 a day and has unlimited miles. Wilson drives 198 miles and spends $29.90 on gasoline. The CDW fee is $15.50 per day. What is the total cost? What is the cost per mile?
Answer:
Total cost=333.95
Cost per mile=6.622
Step-by-step explanation:
5x51.29=256.45
5x15.50-77.50
256.45+77.50=333.95
A doughnut shop wants to determine if there is a difference in donut sales at different times of the day and for different types of doughnuts. They are open in the morning, afternoon, and night, and offer the following flavors: vanilla, chocolate, red velvet, and marbled. There were a total of 48 sales recorded. The shop conducted a two-way ANOVA test and found an F test statistic for Flavor of 14.87. What would be the numerator degree of freedom for the F test statistic to determine if the factor flavor was significant
Solution :
Let
[tex]$k_1$[/tex] = number of levels for the factors 'flavors' = 4
(4 levels vanilla, chocolate, red velvet and marbled)
The degree of freedom for the factor 'flavors' = [tex]$k_1$[/tex] - 1
= 4 - 1
= 3
Now defining the F test statistics for testing the significance of the factors, 'flavors' :
F test statics = [tex]$=\frac{Ms\text{ (factor falvor)}}{Ms \text{ (errors)}}$[/tex] , Ms = mean square
where F = [tex]$F_{k_1-1}$[/tex], error df.
Thus the numerator degrees of the freedom for the F test statistics to determine if the factor flavor was significant is = [tex]$k_1$[/tex] - 1
= 4 - 1
= 3
2.
Lisa is 1.50m tall. Sean is 35cm shorter. How tall is Sean
in metres?
Answer:
Sean is 1.15m
Step-by-step explanation:
35cm = 0.35m
Lisa is 1.5m tall and Sean is 0.35m shorter
1.5m - 0.35m = 1.15m
Sean is 1.15m
you decide to go to a star gazing event there are 12 people in the group
Answer:
whts the question??
Step-by-step explanation:
Why is 6P4 = 360 but 6C4 = 15?
Short answer (I write nPr = P(n, r) and nCr = C(n, r) ):
P (6, 4) = 6! / (6 - 4)! = 6! / 2! = 720 / 2 = 360
C (6, 4) = P (6, 4) / 4! = 6! / (4! (6 - 4)!) = 360 / 24 = 15
Long answer:
P(n, r) counts the number of permutations of n objects taken r at a time, given by
P(n, r) = n ! / (n - r )!
A permutation is a unique arrangement of objects such that the order in which they are arranged is taken into account. For example, if the objects in question are the numbers in the set {1, 2, 3}, then
• there are 3! = 6 total possible permutations if we take all 3 numbers at once:
123, 132, 213, 231, 312, 321
• there are 3!/(3-2)! = 3!/1! = 6 total permutations if we only take 2 numbers at once:
12, 13, 21, 23, 31, 32
• there are 3!/(3-1)! = 3!/2! = 3 total permutations if we take only 1 number at a time:
1, 2, 3
• and there is 3!/(3-0)! = 3!/3! = 1 way of permuting the 3 numbers without taking any of them:
(the permutation itself is just empty space)
By contrast, C(n, r) counts the combinations of n items taken r at a time, given by
C(n, r) = P(n, r) / r !
A combination is like a permutation, but the order of the objects doesn't matter. Continuing with the previous example of arrangements of the numbers from {1, 2, 3}, we have
• 3! / (3! (3-3)!) = 1 combination taking all 3 numbers at once:
123
(the other 5 permutations listed earlier are made up of the same numbers, so we consider them duplicates)
• 3! / (2! (3-2)!) = 3 combinations taking only 2 numbers at once:
12, 13, 23
• 3! / (1! (3-1)!) = 3 combinations taking only 1 number:
1, 2, 3
• 3! / (0! (3-0)!) = 1 combination taking none of them:
(again, empty space)
The main point is that the order of objects is considered across permutations, while it's ignored across combinations.
The slope of a line is 0, and the y-intercept is 6. What is the equation written in slope intercept form.
Answer:
y=0x+6
Step-by-step explanation:
slope intercept form is: y=mx+b
Find the difference: (6a + 6) - (3x - 2) - (2a + 4)
Answer:
4 a − 3 x + 4
Step-by-step explanation:
I just simplified everything together to get this answer.
Hope that this helped! :)
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you!
Pls help, I'll give brainlest
Answer:
b
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
When multiplying exponents, you would add the degrees.
A, B, and D's degrees add up to [tex]5^{-2}[/tex] , which is equal to 1/25.
C adds up to [tex]5^{2}[/tex], which is 25, therefore making it C
Rewrite the Cartesian equation y=-3 as a polar equation.
r
sin
θ
=
−
3
Explanation:
Imagine we have a point
P
with Rectangular (also called Cartesian) coordinates
(
x
,
y
)
and Polar coordinates
(
r
,
θ
)
.
The following diagram will help us visualise the situation better:
https://keisan.casio.com/exec/system/1223526375
https://keisan.casio.com/exec/system/1223526375
We can see that a right triangle is formed with sides
x
,
y
and
r
, as well as an angle
θ
.
We have to find the relation between the Cartesian and Polar coordinates, respectively.
By Pythagora's theorem, we get the result
r
2
=
x
2
+
y
2
The only properties we can say about
θ
are its trigonometric functions:
sin
θ
=
y
/
r
⇒
y
=
r
sin
θ
cos
θ
=
x
/
r
⇒
x
=
r
cos
θ
So we have the following relations:
⎧
⎪
⎨
⎪
⎩
r
2
=
x
2
+
y
2
y
=
r
sin
θ
x
=
r
cos
θ
Now, we can see that saying
y
=
−
3
in the Rectangular system is equivalent to say
r
sin
θ
=
−
3
Answer link
Jim G.
May 19, 2018
r
=
−
3
sin
θ
Explanation:
to convert from
cartesian to polar
∙
x
x
=
r
cos
θ
and
y
=
r
sin
θ
⇒
r
sin
θ
=
−
3
⇒
r
=
−
3
sin
θ
find the area of the shade sector of the circle
Step-by-step explanation:
We need to find the area of the shaded region. We see that the region next to that has a central angle of 120°. Also we know that angle in a straight line is 180° . So the measure of central angle of that shaded region will be 180° - 120° = 60° . Now we can use the formula of area of sector to find out the area of the shaded region.
[tex]\tt\to Area = \dfrac{\Theta}{360^o}\times \pi r^2 \\\\\tt\to Area = \dfrac{60^o}{360^o}\times \pi (8cm)^2 \\\\\tt\to Area =\dfrac{\pi \times 64}{6}cm^2\\\\\to\boxed{\orange{\tt Area_{(Shaded)}= 10.66\pi cm^2}}[/tex]
Resale Value Garland Mills purchased a certain piece of machinery 2 years ago for $500,000. Its present resale value is $420,000. Assuming that the machine's resale value decreases exponentially, what will it be (in dollars) 4 years from now? (Round your answer to the nearest dollar.)
Answer:
260,000
Step-by-step explanation:
The value decreases by 40,000 per year (500000-42000/2 years) the value will decrease by 240000 in six (4 years plus 2 years already passed) years. 6 x 40,000 =240000
So, the value should be 260,000 (500000-240000)
Or
year 1 500000-40000=460000
year 2 460000-40000=420000
year 3 420000-40000=380000
year 4 380000-40000=340000
year 5 340000-40000=300000
year 6 300000-40000=260000
The machine's resale value Garland Mills purchased in 4 years from now will be; $353,049
What is the future value amount?
We are told that the machines present resale value is $420000. Now formula for future value is;
Future value = present value * exp(cx)
Thus;
$420,000 = $500,000 * exp(2c)
420000/500000 = exp(4c)
2c = In(420000/500000)
c = -0.087
Future value = present value * exp(cx)
Future value = $500,000 * exp(-0.087 * 4)
Future value = $353,049
Therefore, the machine's resale value in 4 years from now will be $353,049
Read more about future value amount at; https://brainly.com/question/13961729
2 period class
No students
doing Different questions
due by Apr 14th, 11:59 PM -
One-step addition & subtraction equations
Solve the equation.
2 + y = 11
y =
Stuck? Watch a video or use a hint.
Report a pi
2+y=11
Answer:
2 + y = 11 y = 9
Step-by-step explanation:
Steps
2 + y = 11
subtract 2 from both sides
2 + y - 2 = 11 - 2
y = 9
Find the total surface area. Round to the nearest hundredth if necessary.
Answer:
166
Step-by-step explanation:
multiply the 6 by 2 and then multiply 13 by 10
to get 166
Please help ! Please help! I will heart you !
Answer:
x = 65
Step-by-step explanation:
x + 115 = 180
x = 65
Answer:
65 degrees
Step-by-step explanation:
180-115=65 degrees
The line that 115 degrees is on is equal to 180.
There were 16 skittles in a bag there were 3 yellow, 4 red, 2 purple, 6 orange, and 1 green. What is the probability of pulling a red skittle (simplify your answer). The probability of a red is /