Answer:
Three
Step-by-step explanation:
The perfect cubes between 2 to 200 are
[tex] {3}^{3} = 27 \\ \\ {4}^{3} = 64 \\ \\ {5}^{3} = 125 \\ [/tex]
Hence, there are only three perfect cubes 27, 64 and 125 between 2 to 200.
What is the perimeter of the rectangle shown?
Answer:
74
Step-by-step explanation:
Can anyone help? I need help, and fast!
A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 1.5 feet, 30 feet away from the player. The height y (in feet) of a second hockey puck is modeled by y=x(0.08−0.002x), where x is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground.
Answer:
x₁ > x₂
Step-by-step explanation:
Both actions imply a parable trajectories, since both are projectile shot cases.
Let´s call x₁ maximum distance in the first case
The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.
In the second case, the parable curve is modeled by:
y = x₂*( 0.08 - 0.002x₂) or y = 0.08*x₂ - 0.002*x₂²
A second degree equation, solving for x₂ and dismissing the value x₂ = 0
we get:
y = 0 ⇒ x₂*( 0.08 - 0.002x₂) = 0 x₂ = 0
And 0,08 - 0.002*x₂ = 0
- 0.002*x₂ = - 0.08
x₂ = 0.08/0.002
x₂ = 40 f
Then x₁ > x₂
Twelve different video games showing substance use were observed and the duration of times of game play (in seconds) are listed below. The design of the study justifies the assumption that the sample can be treated as a simple random sample. Use the sample data to construct a 98% confidence interval estimate of o, the standard deviation of the duration times of game play. Assume that this sample was obtained from a population with a normal distribution.
4058, 4336, 4707, 3927, 4718, 4139
4789, 4982, 4096, 4066, 4567, 3801
The confidence interval estimate is ___
Using the t-distribution, as we have the standard deviation for the population, it is found that the confidence interval estimate is (4044.2, 4653.4).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 12 - 1 = 11 df, is t = 2.7181.
As for the other parameters, they are given by:
[tex]\overline{x} = 4348.8, s = 388.2, n = 12[/tex]
Hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 4348.8 - 2.7181\frac{388.2}{\sqrt{12}} = 4044.2[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 4348.8 + 2.7181\frac{388.2}{\sqrt{12}} = 4653.4[/tex]
The confidence interval estimate is (4044.2, 4653.4).
To learn more about the t-distribution, you can check https://brainly.com/question/16162795
Brainliest and 50 points!!!
The circumference of a circle is 35 13/21 in.
What is the approximate diameter of the circle?
Use 22/7 for pi.
Enter your answer as a mixed number in simplest form in the box.
in.
We know that:
[tex]\large\tex\text{Circumference of circle} = 2\pi r = 35 \dfrac{13}{21} \ \tex\text{inches}[/tex]
[tex]\large \pi = \dfrac{22}{7}[/tex]
Somehow, we need to find the radius of the circle. To do that, we need to isolate 'r'.
Isolating 'r':
To isolate "r", we need to divide both sides by 2, then divide both sides by 22/7. You can also multiply 22/7 and 2 and then divide the result both sides to isolate "r".
Step-1: Divide both sides by 2.
[tex]2\pi r = 35 \dfrac{13}{21} \ \tex\text{inches} \\\\\\\ \dfrac{2\pi r}{2} = 35 \dfrac{13}{21} \div 2 \\\\\\ \pi r = \dfrac{35 \times 21 + 13}{21} \div 2 \\\\\\\pi r = \dfrac{748}{21} \times \dfrac{1}{2} \\\\\\\ \pi r = \dfrac{374}{21}[/tex]
Step-2: Divide π both sides.
[tex]\dfrac{\pi r}{\pi} = \dfrac{374}{21} \div \pi \\\\\\ r = \dfrac{374}{21} \div \dfrac{22}{7} \\\\\\ r = \dfrac{374}{21} \times \dfrac{7}{22} \\\\\\ r = \dfrac{17}{3}[/tex]
Now, let's multiply the radius by 2 to obtain the diameter.
Obtaining the diameter:
[tex]\tex\text{Diameter = 2(Radius)} \\\\\\ \tex\text{Diameter} = 2(\dfrac{17}{3} ) \\\\\\ \boxed{\bold{Diameter = \dfrac{34}{3}}}[/tex]
[tex]\\ \rm\rightarrowtail \pi d=35\dfrac{13}{21}[/tex]
d is diameter[tex]\\ \rm\rightarrowtail \pi d=\dfrac{748}{21}[/tex]
[tex]\\ \rm\rightarrowtail d=748/21\pi[/tex]
[tex]\\ \rm\rightarrowtail d=11.34in[/tex]
A ten pound bag of apples for $33.49
one pound of apples
Answer:
3.349
Step-by-step explanation:
HURRY PLEASE!!
Solve: x= 2t + 3w for t
Solve the compound inequality: 3x+1<-5 or 2x-5>7
Answer:
[tex]\frac{x-3w}{2}[/tex] = t
x < -2
x > 6
Step-by-step explanation:
For the first equation, let's solve for t.
Subtract 3w from both sides of the equation.
x - 3w = 2t
Now divide by 2.
[tex]\frac{x-3w}{2}[/tex] = t
t is equal to [tex]\frac{x-3w}{2}[/tex].
For the first inequality, let's solve for x.
First, subtract 1 from both sides, then divide by 3. The result is:
x < -2.
For the second inequality:
First add 5 to both sides, then divide by 2. The result is:
x > 6.
The compound inequality is as follows:
Solutions can be true if x is less than -2, or greater than 6.
can you give me all of the answers using the following directions please.
Answer:
1234567890
Step-by-step explanation:
Answer:
1234567890
Step-by-step explanation:
Please help me!
A person saves $200 a month. If her annual income is $32,000 per year, what percent of her income is she saving?
Answer:
7.5%
Step-by-step explanation:
one year has 12 months...and in one month the person saves 200
so in one year it will be 200×12 = 2400
%save=total saves/total earning×100
= (2400/32000)×100 = 7.5%
I hope this will help!
What is the quotient? 987 ÷ 6 This model describes the division calculation. Start with the greatest multiple of 100 that can be multiplied by the divisor with going over the dividend. Enter a number in each box to correctly complete the model and quotient.
Answer:
164.5
Step-by-step explanation:
987/6
164.5
The Quotient when 987 is divided by 6 is 164.
What is the Quotient?The dividend is the number that is being divided, and the divisor is the number that is being divided. The quotient is the end result of division.
Since we need to find the quotient of 987 when it is divided by 6. Therefore, we can write the quotient as,
Quotient = 987 ÷ 6
= 987 / 6
= 164
Hence, When we divide 987 by the 6 we will get 164 as Quotient.
To know more about Quotient click on the link below:
https://brainly.com/question/16134410
#SPJ2
5)
Divide:
-54-9 =
Highlight
Time
emaining
0:22:39
ide Tools
A)
-7
B)
-6
C)
6
D)
7
Answer:
c
Step-by-step explanation:
Explain why the condition a=/ 0 must be stated to ensure that y = ax2 + bx + c is a quadratic relation.
Answer:
a = 0 makes the equation a linear equation, not quadratic
Step-by-step explanation:
A polynomial expression is quadratic if and only if its highest degree is 2. If the coefficient of the squared term is zero, then the polynomial does not contain a term of degree 2, so is not a quadratic. The coefficient of the squared term must be non-zero.
Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left.
Which diagram best represents the story? Explain why the diagram represents it.
What part of the story does x represent?
Describe how you would find the unknown amount in the story.
Answer:
1. C
2. X=8
3. The unknown number is what the bag of apples started out with
Step-by-step explanation:
Hi I need some help with this
Answer:
10
Step-by-step explanation:
in 20 years,
Paul will be half the square
of the he was 4
years ago. How old is Paul ? ( need start of equation )
Answer:
Step-by-step explanation:
i honesty dont know if so i would help
Find the measure of the missing angles
[tex]y = 65[/tex]
Since it is vertically opposite to that angle, it means that it's equal to it as well.[tex]x + 65 = 180[/tex]
[tex]x = 180 - 65[/tex]
[tex]x = 115[/tex]
X is supplementary to the angle besides it, meaning that their sum must he 180.[tex]z = x = 115[/tex]
Vertically opposite as well. :)Penelope went to the store to buy x pounds of broccoli for $1.10 per pound and y cans of soup for $2.50 each. In total, she spent less than $10. The inequality relating the purchases she made and the total purchase price is
1.10x + 2.50y < 10. Which are reasonable solutions for this situation? Check all that apply.
(–1, 4)
(0, 2)
(3, 2.5)
(2, 4)
(0.5, 3.78)
(1.5, 3)
Answer:
the 2nd and last options
Step-by-step explanation:
Answer:
B and F
Step-by-step explanation:
I’m confused on what the answer is. Can anyone help me?
I had calculated and answer is jackson
Answer:
B. Faith
Step-by-step explanation:
Casey paid $2.75 per gallon
55/20= 2.75
Jackson: 33.60/12 = 2.80
Faith: 30.25/11 = 2.75
Xavier: 39/15 = 2.60
Dominic: 39.20/14 = 2.80
100 POINTS!!!!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!! HELP ASAP!!!!!!!
Is (1, 5) a solution to the following system of equations? Show and explain why or why not.
[tex]f(x)=3x+2[/tex]
[tex]g(x)=[x-1]+1[/tex]
Answer:
The solution(s) to a system of equations is the point(s) of intersection.
To find the solution, equate the equations and solve for x to find the x-coordinate:
[tex]\implies f(x)=g(x)[/tex]
[tex]\implies 3x+2=[x-1]+1[/tex]
[tex]\implies 3x+2=x[/tex]
[tex]\implies 2x=-2[/tex]
[tex]\implies x=-1[/tex]
Now substitute the value of x into one of the equations to find the y-coordinate of the solution:
[tex]f(-1)=3(-1)+2=-1[/tex]
So the solution to this system of equations is (-1, -1)
Therefore, (1, 5) is NOT a solution to the system of equations.
Let's check
[tex]\\ \rm\rightarrowtail y=3x+2[/tex]
Put (1,5)[tex]\\ \rm\rightarrowtail 5=3+2[/tex]
[tex]\\ \rm\rightarrowtail 5=5[/tex]
Verified
And
[tex]\\ \rm\rightarrowtail y=[x-1]+1[/tex]
[tex]\\ \rm\rightarrowtail 5=1-1+1[/tex]
[tex]\\ \rm\rightarrowtail 5\neq 1[/tex]
No
Got It? Do these problemst
Solve each system of equation
1. y=x
y = 2x - 4
answer
10
6420
10
PLEASE!!! HELP ME! WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!!! PLEASE GIVE A SOUND EXPLANATION TOO!!!! YOU GET 50 POINTS!
Answer:
-8
Step-by-step explanation:
Vertex of function f(x)
From inspection of the graph, the vertex of f(x) is (2, 1)
Vertex of function g(x)
Given: [tex]g(x)=2x^2-8x+1[/tex]
Standard form of a parabola is [tex]y=ax^2+bx+c[/tex]
Vertex form of a parabola is [tex]y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)
To convert from standard to vertex form, complete the square.
Set the equation to zero:
[tex]\implies 2x^2-8x+1=0[/tex]
Add 7 to both sides:
[tex]\implies 2x^2-8x+8=7[/tex]
Factor out common term 2 on left side:
[tex]\implies 2(x^2-4x+4)=7[/tex]
Factor expression inside brackets:
[tex]\implies 2(x-2)^2=7[/tex]
Subtract 7 from both sides:
[tex]\implies 2(x-2)^2-7=0[/tex]
Therefore:
[tex]g(x)=2(x-2)^2-7[/tex]
So the vertex of g(x) is (2, -7)
Solution
y-value of the vertex of f(x) = 1
y-value of the vertex of g(x) = -7
y-value of vertex of f(x) subtracted from the y-value of the vertex of g(x):
-7 - 1 = -8
8. If tan + 2 = 0, find in the range 0° and 360°
[A] 129.1, 158.2
[B] 19.5, 160.5
[C] 26.7,338.2
[D] 158.2, 338.2
John Paul gave the cashier $50 to pay for 8 bags of apples. The cashier gave him $17.49 in change.
What is the cost in dollars and cents for each bag of apples?
Answer:
$4.07
Step-by-step explanation:
50-17.49=32.51
32.51/8=4.0637
round that up
x^2-x-2=0 as a complete square
Gerald is going mini golfing at Golf-O-Rama with his family. For his family of 5 to play it costs $34. They were charged for three student tickets and two adult tickets. If a student ticket costs 3/4 as much as an adult ticket costs, how much does one student ticket cost?
Answer:
The cost of one student ticket = $6
Step-by-step explanation:
They were charged for three student tickets and two adult tickets.
Let the cost of one student ticket = a
Let the cost of one Adult ticket = b
If a student ticket costs 3/4 as much as an adult ticket costs
a = 3/4(b)
= 3b/4
For his family of 5 to play it costs $34.
Hence:
3a + 2b = $34
a = 3b/4
3(3b/4) + 2b= 34
9b/4+ 2b = 34
9b + 8b / 4 = 34
17b/4 = 34
17b = 34 × 4
b = 136/17
b = $8
The cost of one Adult ticket = $8
Note that:
a = 3b/4
a = 3(8)/4
a = 24/4
a = $6
Therefore, the cost of one student ticket = $6
What is the y-intercept of 2x+5y=−20 ?
(0,−4)
(10,4)
(0,10)
(−4,0)
Answer:
(0,-4)
Step-by-step explanation:
Just took the quiz
PLEASE help ME! There is a picture!
Answer:
A
Step-by-step explanation:
so times it by two because there's two friends. Divide the numerator by 2 which is one there's Ur answer or u could just divide it by two which is basically timing the denominator
Solve x by using the trial and improvement method!
X + X^2 = 132
Thank you!
Please help - you get 30pts!!
X+X^2= 132 6^2 then just divide your answer by the whole number
Look at the photo atttatched
Answer:
A, D, E are equivalent expressions.
Step-by-step explanation:
A)
[tex]\dfrac{2}{3}a+\dfrac{5}{3}b + ( 8 + 4) - 4 =\dfrac{2}{3}a +\dfrac{5}{3}b + 12 - 4\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b + 8\\\\[/tex]
Here, 8+4 = 12 and when we subtract 4 from 12, we get 8.
[tex]D) 6*(\dfrac{2}{3}a+\dfrac{5}{3}b+8)*\dfrac{1}{6}=6*\dfrac{1}{6}(\dfrac{2}{3}a+\dfrac{5}{3}b+8)\\\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b + 8[/tex]
Here, 6 and 1/6 will be cancelled and we get 1.
[tex]E) \dfrac{2}{3}a+\dfrac{5}{3}b+ 0*\dfrac{1}{3}c+8=\dfrac{2}{3}a+\dfrac{5}{3}b+0+8\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b+8[/tex]
0 multiplied by any value is 0. So, term multiplied by 0 = 0
8. What percentage of the revenue did our costs from defects take up?