cut a 60 cm ribbon into such that one part is one third of the other half
Answer:
15cm and 45cm
Step-by-step explanation:
If one part is one third of the other, then the long one is three times as long as the short one.
If the short one has length x
x + 3x = 60cm
4x = 60cm
x = 15cm
So short one is 15cm and the long one is 3*15cm = 45cm
An elevator in a tall building goes up 7 floors then down 9 floors down 4 floors up 8 floors and down 2 floors now it it in floor 14 on what floor did the elevator start
Answer: I'm pretty sure its 14.
Step-by-step explanation: 14 + 7 - 9 - 4 + 8 - 2 = 14
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John and Jack divided their math homework. John solved twice
as many problems as Jack, plus one more problem. How many
problems did each boy solve if there are 28 assigned problems?
Answer:
Jack=9, John= 19
Step-by-step explanation:
28/3=9 1/3, counting as nine, as thats what got the right answer in my homework.
9 *2) +1= 19, no idea why the plus one, thats just what showed up
J1=19
J2=9
Write 2^40 as an exponent with a base of: 2^2, 2^5, 2^8, 2^10
Answer:
2^40 =
1) (2^2)^20
2) (2^5)^8
3) (2^8)^5
4) (2^10)^4
Step-by-step explanation:
We know this simply because we multiply the exponent inside the parentheses by the exponenent outside the parentheses. Using this, we can simply find the numbers that have a product of 40.
Solve for a.
a
3
9
a =
= ✓ [?]
Pythagorean Theorem: a2 + b2 = c2
Enter
Answer:\(\sqrt{72}\)
Step-by-step explanation:
\(a^2+b^2=c^2\\a^2+3^2=9^2\\a^2+9=81\\a^2=72\\a=\sqrt{72}\)
A rectangle has the length of (3x + 4) cm with a width of (2x - 2) cm. What is the perimeter of the rectangle?
Answer:
Step-by-step explanation:
Polar coordinates: which is not the same?
Answer:
The first option is not the same point in polar coordinates as (-3, 1.236). This proves that inverting the signs of r and θ does not generally give the same point in polar coordinates.
Step-by-step explanation:
Let's think about the position of this point. As you can tell it lies in the 4th quadrant, on the 3rd circle of this polar graph.
Remember that polar coordinates is expressed as (r,θ) where r = distance from the positive x - axis, and theta = angle from the terminal side of the positive x - axis. Now there are two cases you can consider here when r > 0.
Given : (- 3, 1.236), (3,5.047), (3, - 7.518), (- 3, 1.906)
We know that :
7.518 - 1.236 = 6.282 = ( About ) 2π
5.047 + 1.236 = 6.283 = ( About ) 2π
1.236 + 1.906 = 3.142 = ( About ) 2π
Remember that sin and cos have a uniform period of 2π. All of the points are equivalent but the first option, as all of them ( but the first ) differ by 2π compared to the given point (3, - 1.236).
How much would a computer system cost if you pay $200 down and made 12 monthly payments of only $98.95?
Answer:
$1387.4
Step-by-step explanation:
Total cost for the computer will be sum of down payments and monthly installments.
____________________________________
Given
down payment = $200
monthly installment value = $98.85
no. of installments = 12
total value of monthly installments = 12*98.95 = $1187.4
Total cost of computer system = $200+ $1187.4 = $1387.4
A particular fruit's weights are normally distributed, with a mean of 720 grams and a standard deviation of 38 grams. The heaviest 19% of fruits weigh more than how many grams? Give your answer to the nearest gram.
Answer: The heaviest 19% of fruits weigh more than 753grams.
Step-by-step explanation:
Let X = fruit's weights that are normally distributed.
Given: \(\mu=720,\ \ \ \sigma=38\)
To find : x such that P(X>x)=19%
i.e. P(X<x) = 81% [100%-19%=81%]
i.e. P(X<x) = 0.81
\(P(\dfrac{X-\mu}{\sigma}<\dfrac{x-720}{38})=0.81\)
Since, \(Z=\dfrac{X-\mu}{\sigma}\) and from z-table the z value for p-value of 0.81 (one -tailed) = 0.8779
\(\dfrac{x-720}{38}=0.8779\\\\\Rightarrow\ x-720 =38\times0.8779\\\\\Rightarrow\ x-720 =33.36\\\\\Rightarrow\ x = 33.36+720=753.36\approx753\)
Hence, the heaviest 19% of fruits weigh more than 753grams.
flu epidemic hits a town. Let P(t) be the number of persons sick with the flu at time t, where time is measured in days from the beginning of the epidemic and P(0)=100. After t days, if the flu is spreading at the rate of P′(t)=120t−3t2 people per day, find the formula for P(t)
The initial number of people sick with the flu at time 0 is 100 and the rate of increase of the number of people sick with the flu is 120t - 3t^2 people per day.
P(t) = 100 + 120t - 3t^2
This formula can be used to calculate the number of people sick with the flu at time t, where time is measured in days from the beginning of the epidemic. The initial number of people sick with the flu at time 0 is 100 and the rate of increase of the number of people sick with the flu is 120t - 3t^2 people per day.
To calculate P(t), the initial number of people sick with the flu, 100, is added to the rate of increase of the number of people sick with the flu over t days, which is 120t - 3t^2. The sum of these two values is the number of people sick with the flu at time t.
For example, at t=2 days, P(2) = 100 + 120(2) - 3(2^2) = 100 + 240 - 12 = 328 people sick with the flu.
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6) If f(x) = x, the inverse of f, f-1 could be represented byAf - 1(x) = xBf - 1(x) = 11f - 1(x) =Xf - 1(x) = y
We have that the inverse of a function is the same function expressed in the terms of the second variable, in our case:
\(f(x)=x\Rightarrow y=x\Rightarrow f^{-1}(x)=y\)The answer is C, f^-1 (x) = y.
30 points!
Evaluate the following expression if B = 114
1/2B + 58 x 2
Step-by-step explanation:
1/2(114)+(58*2)
1/228+(116)
1/228+116/1=
26676/228=117
...................Simplify 43.45
Answer:
9.31st 91 35 5789 400th
Step-by-step explanation:
43.45+567=
9.3
Solve for x and find the measure of
Answer:
C
Step-by-step explanation:
180 - 42 - 38 = 100
5. If 15 men can finish a work in 16 days in how many days will 8 men can finish the same work? a. 15 b. 20 c. 30 d. 42
Answer:
C. 30
Step-by-step explanation:
15 men do work in 16 days
This means that 7.5 men (15/2) would do that same work in 32 days (16x2).
If the number of men increase, the amount of days decrease.
8 men would do that work in 30 days
8 men > 7.5 men
30 days < 32 days
Answer:
Option c.
Step-by-step explanation:
It is an inverse proportion, fewer workers more days to finish the job.
15 -----16
8 ----- x
x = (16)(15)/8 = 240/8 = 30 days
Hope this helps
Evaluate: x^p/x^p+x^q + 1/x^p-q+1.
\(\large\underline{\sf{Solution-}}\)
We have to evaluate:
\(\sf\dfrac{x^p}{x^p+x^q}+\dfrac{1}{x^{p-q}+1}\)
We know that,
\(\sf a^{m-n}=\dfrac{a^m}{a^n}\)So,
\(\sf\longmapsto\dfrac{x^p}{x^p+x^q}+\dfrac{1}{x^{p-q}+1}\)
\(\sf\longmapsto\dfrac{x^p}{x^p+x^q}+\dfrac{1}{\frac{x^p}{x^q}+1}\)
On taking LCM,
\(\sf\longmapsto\dfrac{x^p}{x^p+x^q}+\dfrac{1}{\frac{x^p}{x^q}+1}\)
\(\sf\longmapsto\dfrac{x^p}{x^p+x^q}+\dfrac{1}{\frac{x^p+x^q}{x^q}}\)
Now, transposing \(\sf x^q\) from denominator to numerator,
\(\sf\longmapsto\dfrac{x^p}{x^p+x^q}+\dfrac{1}{\frac{x^p+x^q}{x^q}}\)
\(\sf\longmapsto\dfrac{x^p}{x^p+x^q}+\dfrac{x^q}{x^p+x^q}\)
So,
\(\sf\longmapsto\dfrac{x^p+x^q}{x^p+x^q}\)
Cancelling \(\sf x^p+x^q\) in both denominator and numerator,
\(\sf\longmapsto 1\)
Therefore,
\(\boxed{\bf \dfrac{x^p}{x^p+x^q}+\dfrac{1}{x^{p-q}+1}=1}\\\)
Find the product
3(z+4)(x-5)
Answer:
3zx-15z+12x-60
Step-by-step explanation:
first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20
then distribute the 3 to get the answer
Evaluate : -35 ÷ (-7) =
Answer:
-35/-7=5
Step-by-step explanation:
Diviser par de nombre négatif alors sa devient positif pareil pour la multiplication
Round 5 2/3 to the nearest whole number then subtract
For this problem, assume that the lottery pays $ 20 on one play out of 200, it pays $1500 on one play out of 7500, and it pays $ 20000 on one play out of 200000. 1) What probability should be assigned to a ticket's paying $ 20? 2) What probability should be assigned to a ticket's paying $ 1500? 3) What probability should be assigned to a ticket's paying $ 20000? 4) What probability should be assigned to a ticket's not winning anything?
1.The probability of winning $20 is 1/200.
2.The probability of winning $1500 is 1/7500.
3.The probability of winning $20000 is 1/200000.
4. the probability of not winning anything is 0.9989375
1.The probability of winning $20 is
P(winning) = p(winning chance)/total
=1/200.
2.The probability of winning $1500 is
P(winning 1500) = p(winning chance)/total
= 1/7500.
3.The probability of winning $20000 is
P(winning) = p(winning chance)/total
=1/200000.
4.To find the probability of not winning anything, you can subtract the sum of the probabilities of winning $20, $1500, and $20000 from 1. This is 1 - (1/200 + 1/7500 + 1/200000) = 1 - 0.0010625 = 0.9989375
Probability is a mathematical concept used to measure the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. A probability of 0.5, for example, means that there is an equal chance of an event happening or not happening. In general, the probability of an event can be calculated as the number of favorable outcomes divided by the number of possible outcomes.
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HELP NEEDED ASAP
answer these problems (image provided)
1. What is the volume of the first cube?
What do you know about the sides of a cube?
2. What is the volume of the cube with sides of 24m?
3. What is the volume of the cube with sides of 7m?
4. What is the combined volume of these 2 cubes?
5. How much more gold do you get in the better option?
Step-by-step explanation:
1 15625 m
2 13824 m
3 343 m
4 14167 m
5 cube with 25 m
What is the least common denominator of the expression below? x2 x2 − 16 + 9 + x 8x + 2x2
The least common denominator of the rational expression [x²/(x² - 16)] + [(9+x)/(8 · x + 2 · x²)] found by factor their denominators is 2 · (x + 4) · (x - 4).
How to find a least common denominator of a rational equation
Rational numbers are formed by numbers of the form n/m, where n and m are integers known as numerator and denominator, respectively. The least common denominator is the least denominator between a group of rational functions such that they get the same denominator.
In this case we have two denominators: x² - 16, 8 · x + 2 · x². We can determine the least common denominator by factoring each expression and discovering known terms:
x² - 16 = (x + 4) · (x - 4)
8 · x + 2 · x² = 2 · x · (x + 4)
The least common denominator of the rational expression [x²/(x² - 16)] + [(9+x)/(8 · x + 2 · x²)] found by factor their denominators is 2 · (x + 4) · (x - 4).
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Which of the following does NOT have the same slope as the rest? O The slope of the line passing through the points (2, 6) and (-4,-6). O The slope of the line y 2x 4 The slope of the line in the given table The slope of the line given the graph: XIZMA 2 3 4 -5 ➤AN ON Y -2
Answer:2,6 and -4-6
Step-by-step explanation:
Question 1 of 8, Step 1 of 1
/10
Correct
Copy Data
The estimated regression equation and the standard error are given.
Sick Days = 14.310162 – 0.236900(Age)
Se = 1.682207
Find the 95 % prediction interval for the average number of sick days an employee will take per year, given the employee is 34.
Round your answer to two decimal places.
Answer
Tables Keypad
Keyboard Shortcuts
Correct Answer: (2.15.10.36)
Display Solution
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© 2021 Hawkes Learning
Answer:
lgknnnergoiegeg
Step-by-step explanation:
Me and my momma went to family dollars , to buy some cram.
Explain how solving -7y > 161 is different from solving 7y > -161.
Answer:
When the coefficient (number before the variable) is negative, you have to switch the inequality symbol after you divide.
Answer:
EDGE 2020
Step-by-step explanation:
Sample response: Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>
WILL MARK AS BRAINLIEST
should be the second and third options starting from the top.
Solve for x: 6x + 4x - 5 = 55
Answer:
6
Step-by-step explanation:
55+5=60
6+4=10
60/10=6
Answer:
\(\Huge\boxed{x=6}\)
Step-by-step explanation:
In order to solve this equation, our goal is to "reverse" the equation until we have x isolated on one side.
\(6x+4x-5=55\)
We can first combine the x terms.
\(10x-5=55\) Add 5 to both sides: \(10x=60\) Divide both sides by 10: \(x=6\)So x = 6.
Hope this helped!
Math question
L
L
L
L
L
L
L
L
Answer:
0.84 miles
Step-by-step explanation:
80% is the same as 0.8, so 0.8*4.2=3.36. This means he has completed 3.36 miles. So, to find how much he has left, subtract. 4.2-3.36=0.84. Therefore, he has 0.84 miles left in his hike.
Answer: 0.84 miles
Step-by-step explanation:
80% is the same as 0.8, so 0.8*4.2=3.36. This means he has completed 3.36 miles. So, to find how much he has left, subtract. 4.2-3.36=0.84. Therefore, he has 0.84 miles left in his hike.
A survey of 35 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated. You're testing the claim that the mean difference is greater than 0.7. From the sample, the mean difference was 0.95, with a standard deviation of 0.44. Calculate the test statistic, rounded to two decimal place
Answer:
The test statistic is t = 3.36.
Step-by-step explanation:
You're testing the claim that the mean difference is greater than 0.7.
At the null hypothesis, we test if the mean difference is of 0.7 or less, that is:
\(H_0: \mu \leq 0.7\)
At the alternate hypothesis, we test if the mean difference is greater than 0.7, that is:
\(H_1: \mu > 0.7\)
The test statistic is:
\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that \(\mu = 0.7\)
A survey of 35 people was conducted to compare their self-reported height to their actual height.
This means that \(n = 35\)
From the sample, the mean difference was 0.95, with a standard deviation of 0.44.
This means that \(X = 0.95, s = 0.44\)
Calculate the test statistic
\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)
\(t = \frac{0.95 - 0.7}{\frac{0.44}{\sqrt{35}}}\)
\(t = 3.36\)
The test statistic is t = 3.36.
Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a function of x { x ( t ) = 5 √ t y ( t ) = 7 t + 4
Answer:
y(x) = (7/25)x^2 + 4
Step-by-step explanation:
Given:
x = 5*sqrt(t) .............(1)
y = 7*t+4 ..................(2)
solution:
square (1) on both sides
x^2 = 25t
solve for t
t = x^2 / 25 .........(3)
substitute (3) in (2)
y = 7*(x^2/25) +4
y= (7/25)x^2 + 4