Answers
Answer:
68 cubic feet
Step-by-step explanation:
Split the object into 2 so you have 2 squares. Now do 2x4x6=48cbft. Then do 5x2x2=20cbft. Then just add them together! 48+20=68!
Hope this helps! ;-)
Related Questions
Here is Diya's work writing the expression 6 - 2x + 5 + 4x with fewer terms. Describe the mistake that Diya made.
Diya's Work
6- 2x + 5 + 4x
4x +
9x
13x Write an expression equivalent to 6 - 2x + 5 + 4x that has two terms.
Answers
Answer:
Below.
Step-by-step explanation:
This is the correct solution:
6 - 2x + 5 + 4x
= -2x + 4x + 6 + 5
= 2x + 11.
It looks like they added unlike terms together (4x + 5) to give 9x (incorrect) then added the 4x to give 13x.
please help mee i will give brainliest
Answers
Answer:
420*3/2 = 630
630/60 = 10.5
=> B direction isn't relevant with velocity
Answer:
A. 10.5
Step-by-step explanation:
I divided 450 by 40 for the velocity of 10.5 brainliest please!!
I need help with this its like a fraction
Answers
[tex]\frac{10^8}{10^6} = 10^{8-6} = 10^2 = 100[/tex]
The rule used is
[tex]\frac{a^b}{a^c} = a^{b-c}[/tex]
Subtract the exponents when dividing exponentials like this of the same base.
A class of 50 students votes for a class president.
Candidate A receives 19 votes.
Candidate B receives 31 votes.
Use this information to answer the questions below.
Answers
Answer:
[tex] \frac{31}{50} \\ \frac{31}{50} \times 100 = 62\% [/tex]
19+31= 50 students
Question #1: will be B/ total students which is 31/50
Question #2: to find percentage I like to cross multiply. X= total percentage voting 31/50 * x/100
31*100= 3,100
3,100/50= 62
X=62%
Write a cosine function that has a midline of 3, an amplitude of 4 and a period
of pi.
Answers
Answer:
[tex]f(x)=4\cos(2x)+3[/tex]
Step-by-step explanation:
Using the general equation [tex]f(x)=a\cos(bx+c)+d[/tex], we already know that [tex]a=4[/tex] and [tex]d=3[/tex], but we need to find [tex]b[/tex] from the period:
[tex]\frac{2\pi}{|b|}=\pi\\ 2\pi=b\pi\\2=b[/tex]
Hence, the cosine function is [tex]f(x)=4\cos(2x)+3[/tex]
A tire company wants to determine if tires made with a new type of tread will last longer than tires made with the original type of tread. The company has access to 24 different vehicles. Each vehicle will receive four tires with the new tread and four with the original tread. The position, front or back, will be randomly determined for a pair of each type of tread. For example, a vehicle will have the new type of tread on the front tires and the original tread on the back tires. After six months, the pairs of unused tires will be used with the position switched on the car. The vehicles will be driven for six more months. At the end of one year, the depths of the remaining tread will be measured for each tire and the average differences between the new and original tread types will be determined. The average differences will then be used to determine if the new tread does last longer.
Is this a matched pairs design for this experiment?
Yes, the company used 24 different vehicles.
Yes, both types of tread were randomly assigned to each vehicle.
No, the vehicles were not put into groups of two.
No, the tires with the different types of tread were not randomly assigned to each vehicle.
Answers
This is a matched pairs design because both types of tread were randomly assigned to each vehicle.
What is matched pairs design?The term matched pairs design has to do with the situation in which participants are randomly assigned to an experiment or a control group. For each participant assigned to an experimental group, another is assigned to the control group.
Thus, this is a matched pairs design because both types of tread were randomly assigned to each vehicle.
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Find the arc length of an arc with a Central angle of 2π/3 radians and a radius of 6 units
Answers
Answer:
Step-by-step explanation:
Find the measure of exterior angle 1
Answers
This is geometry but I forgot how to do the equations
Answers
Answer:
Step-by-step explanation:
Those are the special triangles 45-45-90 and 30-60-90
6. y = 5 and x = 5sqrt(2)
7. y= 8 and x = 8sqrt(3)
8. x = 10sqrt(2)
Sphere B is the image of sphere A after dilation by a scale factor of 44. If the volume of sphere A is 50 m^3
3
, find the volume of sphere B, the image.
Answers
Step-by-step explanation:
there is no image here. and we don't know, if B is smaller or lager than A.
anyway, the volume of a sphere is
4/3 × pi × r³ = 4/3 × pi × r×r×r
that means the scale factor applying to r (radius) has to be multiplied in 3 times (with every r). so, to compare the volumes, the volume scale factor is cubed the linear scale factor.
44³ = 85184
if B is smaller, then its volume is 50/85184 m³
if B is larger, then its volume is 50×85184 m³
since this a such a big number, you made possibly a typo with the scale factor.
The volume of sphere B, the image of sphere A after dilation by a scale
factor of 44, is approximately 1,223,762.42 cubic meters.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Since, The volume of a sphere is given by the formula:
V = (4/3) pi r
where V is the volume, pi is the constant 3.14.., and r is the radius of the sphere.
Since, sphere A has a volume of 50 cubic meters, we can use this formula to solve for its radius:
50 = (4/3) pi r
r = (3/4) (50 / pi)
r = (3/(4pi) 50)^(1/3)
r = 2.67 meters
Note that we know,
The radius of sphere A, we can use the scale factor of 44 to find the radius of sphere B:
rₐ = 44 rₓ
rₐ = 44 × 2.67
rₐ = 117.48 meters
Finally, we can use the volume formula again to find the volume of sphere B:
V(B) = (4/3) pi rₓ
V (B) = (4/3) pi (117.48)
V (B) = 1,223,762.42 cubic meters
Therefore, the volume of sphere B, the image of sphere A after dilation by a scale factor of 44, is approximately 1,223,762.42 cubic meters.
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Luis is flying a kite, holding his hands a distance of 3.75 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 35^{\circ} ∘ . If the string from the kite to his hand is 140 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answers
The height of the kite above the ground to the nearest tenth of a foot is 84.1 ft
Using the angle of elevation to find height?The situation forms a right angle triangle.
Therefore, the length of the string is the hypotenuse of the triangle formed.
Hence, using trigonometric ratios,
sin 35 = opposite / hypotenuse
sin 35 = h / 140
cross multiply
h = 140 sin 35
h = 140 × 0.57357643635
h = 80.3007010891
Height of the kite above the ground = 80.3007010891 + 3.75 = 84.0507010891
Height of the kite above the ground = 84.1 ft
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ark. (iv). 2(x-3)-3(5x-2) ≤ 6(3-2x)
[tex]2( \times - 3) - 3(5 \times - 2) \leqslant 6(3 - 2x)[/tex]
Answers
Answer:
x ≥ 18
Step-by-step explanation:
2(x-3)-3(5x-2) ≤ 6(3-2x)
⇔ 2x - 6 - 15x + 6 ≤ 18 - 12x
⇔ 2x - 15x ≤ 18 - 12x
⇔ -13x ≤ 18 - 12x
⇔ -13x + 12x ≤ 18
⇔ -x ≤ 18
⇔ x ≥ 18
⇔ x∈[18 , ∞)
3.2 Tshego also intends tiling the dining room and lounge floors. The dimensions of the lounge floor are 4 m by 5 m and of the dining room floor 3 m by 4 m. Information and cost: Tshego intends using tiles that are 35 cm by 35 cm. One box of 4 tiles costs RI43,84. Tile cement costs R99,90 per 20 kg bag, which covers 3 m². She needs 4 bags of tile grout at R89,90 per 5 kg bag. The cost of labour is R2 500. Tshego's total budget for the tiling project is R15 000. Use the information above to answer the questions that follow. 3.2.1 Show that the total floor area to be tiled is 32 m². You may use this formula: Area of a rectangle = length x width (2)
Answers
Using the area of a rectangle, the total floor area to be tiled = area of the dinning room + area of the lounge floor = 32 m²
What is the Area of a Rectangle?The area of rectangle = (length)(width).
Total floor area to be tiled = area of the dinning room + area of the lounge floor
Total floor area to be tiled = (4)(5) + (3)(4)
Total floor area to be tiled = 20 + 12
Total floor area to be tiled = 32 m²
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find the dot product of the pair of vectors and determine whether they are normal. (4,-3) and (-3,-4)
Answers
Answer:
normal
Step-by-step explanation:
Dot Product of Vectors
Multiply x-values with x-values and same for the y-values4(-3) + (-3)(-4)-12 + 120As the dot product of the vectors equals 0, the vectors are normal.
HELP!!
Which of the statements below are true for linear functions? Select all that apply.
1. The general equation is y = mx + b.
2. The general equation is y = ax^2 + bx + c
3. The general equation is y = ab^x
4. The graph contains a vertex
5. The slope of the graph is constant and can be defined as rise over run.
Answers
[tex]\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}[/tex]
[tex]\diamond\large\blue\textsf{\textbf{Given question:-}}}[/tex]
Which of the statements below are true for linear functions?
Select all that apply.
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
The general equation for linear functions is [tex]\bold{y=mx+b}[/tex].
The equation [tex]\bold{y=ax^2+bx+c}[/tex] is the general equation for quadratic functions.
The equation [tex]\bold{y=ab^x}[/tex] is the general equation for exponential functions.
Linear functions don't have a vertex, they have slope (m) and y-intercept (b).
One way we can define the slope of a linear function is
[tex]\bold{Slope=\dfrac{Rise}{Run}}[/tex]
So we conclude that the right options are
[tex]\square\!\!\!\!\checkmark[/tex] The general equation is y=mx+b.
[tex]\square\!\!\!\!\checkmark[/tex] The slope of the graph is constant and can be defined as rise over run.
Good luck with your studies.[tex]\rule{300}{1}[/tex]
A bus stops at a bus stop every 45 minutes. Once a person gets to the bus stio, what is the probability they will wait for no more than 20 minutes?
Answers
Answer:
≈ [tex]44.4%[/tex][tex]%[/tex]%
Step-by-step explanation:
The person will wait for no more than 20 minutes if they arrive when the bus is going to stop in 20 minutes, which means that they must arrive 25 minutes after the previous bus stops. So the probability that the person will not wait for more than 20 minutes will be [tex]\frac{20}{45}[/tex] which is about 44.4%.
How many 4-digit numbers are neither multiples of 2 nor multiples of 5?
Answers
Multiples of 2 end in 0, 2, 4, 6, and 8. There are 9*10*10*5 = 4500 four-digit multiples of 2.
Multiples of 5 end in 0 or 5. There are 9*10*10*2 = 1800 four-digit multiples of 5.
There is redundancy between the two sets of numbers, namely those that end in 0, which are both multiples of 2 and 5. There are 9*10*10*1 = 900 four-digit multiples of both 2 and 5.
Then there are 4500 + 1800 - 900 = 5400 total four-digit numbers that are either multiples of 2 or 5, which means the remaining 4600 numbers are neither multiples of 2 nor 5.
Answer:
3,600
Explanation:
There's nine thousand numbers here, 4,500 of which are even, you will need to subtract mutiples of five from this number, making it even smaller.
subtract the non-even five's (exactly half of the 1800 hundred fives that fit in our little original number, (900!) ) 4,500-900= 3,600. Which should be your answer. :D
Step-by-step explanation:
Teenegers were asked how many times a week they were reminded to do chores. The responses are shown in the graph. What is the mean of the number of times per week that they were reminded?
Answers
Answer:
i could help but i don't see the graph chart
Step-by-step explanation:
Will mark brainlist to whoever answers first
(5).
Answers
Answer:
Step-by-step explanation:
US=26
SV=UV=[tex]\frac{26}{2}[/tex] (diagonals of parallelogram bisect each other)
UV=13
PLEASE HELP WILL GIVE BRAINLIEST!
Evaluate for f(6), show all your work: f(x)=x^2-4
Answers
Answer: 32
Step-by-step explanation:
f(6) = 6^2-4 = 36-4 = 32
Please help me!!? Number 6
Answers
Answer:
the b believes in me
Step-by-step explanation:
B)75km etc
1hr
[tex]\frac{75 \text{ km}}{1 \text{ hr}} \times \frac{1000 \text{ m}}{1 \text{ km}} \times \frac{1 \text{ hr}}{60 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ sec}}[/tex]
========================================================
Explanation:
We'll use the following facts (either memorized or written on a reference sheet somewhere)
1000 m = 1 km1 hr = 60 min1 min = 60 secEach of those equations will form conversion factors to help us go from km/hr to m/s. Each conversion factor is a fraction connecting the two sides of the equation. Example: The equation 1000 m = 1 km forms the conversion factor of [tex]\frac{1000 \text{ m}}{1 \text{ km}}[/tex]
In choice B, notice how the fractions are set up. The "km" units cancel when dividing. The same goes for the "hr" and "min" units.
Check out the screenshot below where I show this cancellation in action. The color-coding helps show how the terms pair up and cancel.
Choice A comes close to what choice B is saying, but we don't have the "min" units cancel. So choice A is eliminated as an answer.
Choices C and D are also eliminated because of the "75 km" in the denominator. It should be 1 km.
A catalog with 625 pages has 6 pages with tables.
What percent of the pages have tables?
0.16%
0.96%
1.28%
1.92%
Answers
Answer:
0.96%
Step-by-step explanation:
We are looking for the percent that represents "6 out of 625"
Divide to find the decimal answer:
6/625 means
6 ÷ 625
= 0.0096
Then multiply by 100 to change to a percent.
0.0096 × 100
= 0.96%
Find the length of side X in the simplest radical form of the rational denominator
Answers
[tex]~~~~~~~\cos 45^{\circ} = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\implies \dfrac 1{\sqrt 2} = \dfrac{\sqrt 3}{x}\\\\\\\implies x = \sqrt 3 \cdot \sqrt 2\\\\\\\implies x = \sqrt {3 \times 2}\\\\\\\implies x = \sqrt 6[/tex]
_x 11 = 99 what is the missing number?
Answers
Answer:
9 x 11 = 99
Step-by-step explanation:
if the number 11 is being multiplied by is under 10 its just that number twice.
11x1 = 11
11x2 = 22
11x3 = 33
ya know?
Suppose 60% of a herd of cattle is infected with a particular disease. let p = the number of non diseased cattle in a sample of size 5. the distribution of y is
Answers
The distribution of y is [tex]P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}[/tex]
How to determine the distribution?The given parameters are:
Probability of success, p = 60%
Sample size, n = 5
The distribution of y is represented as:
[tex]P(y) = ^nC_y * p^y * (1 - p)^{n-y}[/tex]
So, we have:
[tex]P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}[/tex]
Hence, the distribution of y is [tex]P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}[/tex]
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Michael has a room in his house that is shaped like a parallelogram the length of the room measures 16 feet and the width measures 26 what is the perimeter of the
Answers
Answer:
84 ft
Step-by-step explanation:
16 + 16 + 26 +26 = 84
The amount of time a certain brand of light bulb lasts is normally distributed with a
mean of 800 hours and a standard deviation of 50 hours. what is the probability that
a randomly chosen light bulb will last between 780 hours and 810 hours, to the
nearest thousandth?
Answers
Answer:
23.47 % ( or .2347)
Step-by-step explanation:
780 is 20/50 = .4 for z score - .4
810 is 10/50 = .2 z-score = .2
Use z-score table .5793 - .3446 = .2347 23.47%
need help with sigma notation
Answers
Answer:
114126Step-by-step explanation:
The given expression describes the GP with
The first term:
t = 80(1.23²⁻²) = 80(1.23⁰) = 80The common ratio:
r = 1.23It is required to find the sum of the terms from 2 (the bottom number of sigma) through 29 (the top number of sigma)
The number of terms is
n = 29 - 2 + 1 = 28The sum of the first 28 terms is
Sₙ = t(rⁿ - 1)/(r - 1) S₂₈ = 80(1.23²⁸ - 1)/(1.23 - 1) = 114125.75573 ≈ 114126 (rounded)Answer:
114,126 (nearest whole number)
Step-by-step explanation:
Geometric sequence
General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]
(where a is the first term and r is the common ratio)
Given:
[tex]\displaystyle \sum^{29}_{n=2}80(1.23)^{n-2}[/tex]
The sigma notation means to find the sum of the given geometric series where the first term is when n = 2 and the last term is when n = 29.
First term (a)
Determine the first term by substituting n = 2 into the given expression:
[tex]n=2 \implies 80(1.23)^{2-2}=80[/tex]
Common ratio (r)
From inspection, the common ratio is 1.23.
nth term
As the first term is when n = 2 and the last term is when n = 29, there is a total of 28 terms.
Therefore:
a = 80r = 1.23n = 28Sum of the first n terms of a geometric series:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
Substituting the given values into the formula:
[tex]\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}=114125.7556[/tex]
Therefore, the sum of the given geometric series is 114,126 (nearest whole number)
The graphs below have the same shape. f(x) = x².
What is the equation of the graph of g(x)?
Answers
Answer:
C. g(x) = (x - 4)²
Explanation
g(x) is f(x) right 4 units
When shifted right, x - a, a is the distance
So g(x) = (x - 4)² is the answer
HOPE THIS HELPS AND HAVE A NICE DAY <3
PLEASE HELP 5 POINT ASSIGNMENT (LEASE TO GREATEST PROBLEM)
Order, 1/2, 5/6, 2/3, and 3/5 from least to greatest
Answers
Answer:
1/2 < 3/5 < 2/3 < 5/6
Step-by-step explanation:
Using the given inputs:
1/2 5/6 2/3 3/5
The least common denominator (LCD) is: 30.
Rewriting as equivalent fractions with the LCD:
1/2 5/6 2/3 3/5
15/30 25/30 20/30 18/30
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
1/2 3/5 2/3 5/6
15/30 < 18/30 < 20/30 < 25/30
Therefore, the sorted inputs in order from least to greatest is:
1/2 < 3/5 < 2/3 < 5/6
