Answer:
i think it is -1/2
Answer:
\( -\dfrac{13}{18} \)
Step-by-step explanation:
\( -\dfrac{8}{9} - (-\dfrac{1}{6}) = \)
\( = -\dfrac{8}{9} + \dfrac{1}{6} \)
\( = -\dfrac{16}{18} + \dfrac{3}{18} \)
\( = -\dfrac{13}{18} \)
Which expression represents this phrase?
8 less than the quotient of 5 and a number
5n−8
n5−8
8−5n
I don't know.
Answer:
Hi! The answer would be A.
Step-by-step explanation:
8 less than shows us that the number 8 will be subtracted from another number. Not the one being subtracted from. So then we know it's not C.
The quotient of 5 and a number shows us that 5 will be the numerator and the 'number' will be the denomintor.
That means the answer will be 5n-8.
Hope this helps! :)
Btw I also took the K12 quiz just now.
The expression that can be used to represent the phrase is 5 / n - 8
The term less means to subtract. For example, 8 less 2 means 2 subtracted from 8. This is the same as 8 - 2 = 6
The term quotient means division. It means to divide a number by another number. For example, the quotient of 8 and 2 means 8 to divide by 2. This is the same as 8 /2 = 4
From this question, let n represent the number, the information given in this question can be represented with this expression:
the quotient of 5 and a number can be expressed as 5 / n
8 less than the value of the quotient is 5/n - 8
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it is claimed that proportion in favor of proportion A is greater than 60%. A sample of size 100 found 69 in favor. what is the alternative hypothesis, and what is (are) the critical value
Answer:
The alternative hypothesis is \(H_1: p > 0.6\).
The critical value is \(Z_c = 1.645\)
Step-by-step explanation:
It is claimed that proportion in favor of proportion A is greater than 60%.
This means that at the null hypothesis, we test if the proportion is of at most 60%, that is:
\(H_0: p \leq 0.6\)
At the alternative hypothesis, we test if the proportion is more than 60%, that is:
\(H_1: p > 0.6\)
What is (are) the critical value?
The critical value is the value of Z with a p-value 1 subtracted by the standard significance level of 0.05, since we are testing if the mean is more than a value, so, looking at the z-table, \(Z_c = 1.645\)
The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?
The total volume of the air space of spherical ball is A = 12.265625 inches³
Given data ,
Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.
The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.
The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.
The formula for the volume of a cylinder is:
V = πr²h
V = ( 3.14 ) ( 1.25 )² ( 7.5 )
V = 36.796875 inches³
where V is the volume, r is the radius, and h is the height.
So, the volume of the one ball is:
V₁ = ( 4/3 )π(1.25)³
V₁ = 8.177083 inches³
The total volume of three balls is = volume of 3 spherical balls
V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches
Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³
A = 12.265625 inches³
Hence , the volume of air space is A = 12.265625 inches³
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PLEASE HELP ME WITH THISSSSS
Answer:
17/3
Step-by-step explanation:
all you have to do is add 5 and 2 and you get 17 / 3 also divide by 2
You want to buy a new video game for $48.99. If there is a 6% sales tax, how much will you need total?
Answer:
$51.93
Step-by-step explanation:
$48.99 x 1.06 = $51.9294
What is the number of b? 50b = 7,300
Answer: 146
Step-by-step explanation: Divide 7300 by 50
Answer:
b = 1460
Step-by-step explanation:
50b = 7,300
the steps are easy and simple- Divide 50 on each side
50b/50 = 7300/50
this will isolate b and give it's answer
b = 1460
PLEASE HELP PICTURE ATTACHED
Answer: Its 48in
Step-by-step explanation:
Love you all. And good luck.
What is the reciprocal of
2/7?
Answer:
7/2
Step-by-step explanation:
To find the reciprocal of a fraction we just flip it
2/7 =7/2
The reciprocal of 2/7 is 7/2, and it plays a significant role in various mathematical operations involving fractions.
The reciprocal of a fraction is obtained by interchanging the numerator and denominator. For the fraction 2/7, its reciprocal is 7/2. To understand why this is the case, let's break it down.
When we take the reciprocal of a fraction, we essentially flip it upside down. In the case of 2/7, we switch the positions of 2 (numerator) and 7 (denominator) to get 7/2. This reciprocal property holds true for any fraction.
The reciprocal of 2/7 is an essential concept in mathematics, especially when dealing with division of fractions. When you divide a fraction by another fraction, it is equivalent to multiplying the first fraction by the reciprocal of the second fraction. So, dividing by 2/7 is the same as multiplying by 7/2.
In conclusion, the reciprocal of 2/7 is 7/2, and it plays a significant role in various mathematical operations involving fractions.
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Can some one please help me with this? I will mark brainlist if right.
Step-by-step explanation:
28<18-5(-3)= 28<33 T
28<18-5(-2)= 28<28 F
28<18-5(-1)= 28< 23 F
28<18-5(0)= 28<18 F
28<18-5(2)= 28<8 F
-3(14)/-51<1 =0.82<1 T
-3(15)/-51<1=0.88<1 T
-3(17)/-51<1=1<1 F
-3(18)/-51<1= 1.1<1 F
-3(19)/-51<1=1.1<1 F
-3,14,15
HELP, it’s question 17
Answer: A
Step-by-step explanation:
Answer:
1/3 of 60 = 20
2/5 x 3 = 1 1/5
A: 1 1/5 cans of paint
Step-by-step explanation:
A commuter railway has 800 passengers a day and charges each one 2 dollars. For each 4 cents the fare is increased, 2 fewer people will ride the train. Express
the income I from the train in terms of the ticket price p (in dollars).
The income I from the train in terms of the ticket price p is given by the expression:
I = -0.08x² + 30x + 800p
How to express the income I from the train in terms of the ticket price p?Let's start by defining some variables:
x: the number of 4 cents increases in the fare
p: the original ticket price in dollars
q: the new ticket price after x increases of 4 cents
From the problem, we know that for each 4 cents increase in the fare, 2 fewer people will ride the train. This can be expressed mathematically as:
number of passengers = 800 - 2x
We also know that the fare is increased by 4 cents for each 4 cents increase in the ticket price. Therefore, the new ticket price q can be expressed as:
q = p + 0.04x
Finally, we need to express the income I from the train in terms of the ticket price p. This can be done by multiplying the number of passengers by the ticket price:
I = p * (800 - 2x)
Substituting q into the equation for I, we get:
I = (p + 0.04x) * (800 - 2x)
Expanding the brackets, we get:
I = 800p - 2px + 32x - 0.08x²
Simplifying this expression, we get:
I = -0.08x² + 30x + 800p
Therefore, the income I from the train in terms of the ticket price p is given by the equation:
I = -0.08x² + 30x + 800p
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find the surface area of this cylinder round to the nearest tenth
Step-by-step explanation:
The surface area of a cylinder is given by
\(A = 2\pi r^2 + 2\pi rL\)
\(\:\:\:\:=2\pi(3\:\text{cm})^2 + 2\pi(3\:\text{cm})(12\:\text{cm})\)
\(\:\:\:\:= 282.7\:\text{cm}^2\)
what is 2 +2 { 25 points }
1. 22
2. 4
Answer:
4
Step-by-step explanation:
if you have 2 apples and you get 2 more apples how many do you have.
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
y=2x+6
Step-by-step explanation:
One of the largest cookies made on record had a diameter of 78.75 feet. What was the circumference of the cookie?
Answer:
247.4
Step-by-step explanation:
- you can either use pi*diameter or 2pi*radius
- \(\pi (78.75) = 247.4\)
Mrs. Hodge has 50 coins made up of dimes and nickels. The value of her coins is $3.35. How many
dimes and nickels does Mrs. Hodge have?
Answer:
37
Step-by-step explanation:
On a coordinate plane, (negative 4, 6) is plotted.
Which ordered pair represents the reflection of the point (–4, 6) across both axes?
(4, 6)
(4, –6)
(–4, 6)
(–4, –6)
The reflection of the point (–4, 6) across both axes is (b) (4, -6)
How to determine the reflection of the point (–4, 6) across both axes?From the question, we have the following parameters that can be used in our computation:
Point = (-4, 6)
The rule of reflections across both axes is
(x, y) = (-x, -y)
Using the above as a guide, we have the following:
Image = (4, -6)
Hence, the reflection of the point (–4, 6) across both axes is (b) (4, -6)
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What is the percent of change from 8 to 6?
The percent change is -25% that is decreased.
What is percent change ?
A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. All of something is 100 percent , half of it is 50 percent , none of something is 0 percent.
Percent change equals the change in value divided by absolute value of original value and multiplied by 100.
Negative precent change :
When the change goes on decreasing, i.e. final value is less than original.
Positive percent change :
When the change goes on increasing i.e. final value is more than original.
In given que,
initial value = 8
final value = 6
change in value = 6-8
= -2
So, percent change = -2/8 *100 = -25%
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A function, f(x), represents the distance a car travels over time. The line tangent to the function at x=1 is y=0.6x+0.9. The line tangent to the function at x=4 is y=2.1x-3.2. The line tangent to the function at x=6 is y=4.6x-16.3.
9514 1404 393
Answer:
0.6
Step-by-step explanation:
The instantaneous rate of change at any point on a curve is the slope of the tangent line at that point.
At x=1, the tangent line is given as ...
y = 0.6x +0.9
The slope of that line is the coefficient of x, 0.6.
The instantaneous rate of change of f(x) at x=1 is 0.6.
Given f (x) = 1/2 * x - 5 find f ^ -1 * (x)
Answer: d i think im pretty sure
Step-by-step explanation:
Solve the equation for x.
5x2=65
Round your answer to three places.
Step-by-step explanation:
To solve the equation 5x^2 = 65 for x, we can start by dividing both sides by 5:
5x^2/5 = 65/5
Simplifying:
x^2 = 13
To isolate x, we can take the square root of both sides:
sqrt(x^2) = sqrt(13)
Note that the square root of x^2 is |x| (the absolute value of x), since x^2 is always positive. So:
|x| = sqrt(13)
Therefore, x can be either the positive or negative square root of 13:
x = +/- sqrt(13)
Rounding to three decimal places:
x ≈ +/- 3.606
i need serious help someone pleaseeeee
The value of c in the polynomial is - 7.
How to solve polynomials?The polynomial is given as follows:
p(x) = 2x³ - x² + cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:
Therefore,
p(x) = 2x³ - x² + cx + 2
when x - 2 is a factor, p(x) = 0
Therefore,
0 = 2x³ - x² + cx + 2
Hence,
2(2)³ - (2)² + 2c + 2 = 0
16 - 4 + 2c + 2 = 0
12 + 2 + 2c = 0
2c = - 14
divide both sides by 2
c = - 14 / 2
c = - 7
Therefore,
c = -7
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H(p)=p/5 + 15
What is the independent variable in this function
In the given function H(p) = p/5 + 15, the independent variable is "p" ,
The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.
It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.
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Write an explicit formula for an, the nth term of the sequence 30, 35, 40
Answer:
The sequence is increasing by 5 at each step. So, we can write:
a1 = 30
a2 = 30 + 5 = 35
a3 = 30 + 25 = 40
a4 = 30 + 35 = 45
a5 = 30 + 4*5 = 50
We notice that the nth term is given by:
an = 30 + (n-1)5
So, the explicit formula for the nth term is:
an = 25n + 5
Graph the function
f(x)=3/4x+2
Answer:
i added the graph below :) hope this helps hun <3
Step-by-step explanation:
A recipe calls for 2 cup of brown sugar for every 6 cups of white sugar. How many cups of brown sugar are required for every 12 cups of white sugar?
(PLEASE HELP!!)
There are 4 cups of brown sugar are required for every 12 cups of white sugar.
A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:
2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar
To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:
2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar
24 cups brown sugar = 6x cups brown sugar
x = 24/6
x = 4
So, 4 cups of brown sugar are required for every 12 cups of white sugar.
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18. A random sample of n = 16 scores is obtained from a
population with a mean of μ = 45. After a treatment
is administered to the individuals in the sample, the
sample mean is found to be M = 49.2.
a. Assuming that the sample standard deviation is
s = 8, computer and the estimated Cohen's d to
measure the size of the treatment effect.
b. Assuming that the sample standard deviation is
s = 20, computer and the estimated Cohen's d to
measure the size of the treatment effect.
c. Comparing your answers from parts a and b, how
does the variability of the scores in the sample
influence the measures of effect size?
Through reporting statistical results, we found that \(r^{2}\) is 0.22 and Cohen's \(d\) is 0.52 when s = 8, and \(r^{2}\) is 0.04 and Cohen's \(d\) is 0.21 when s = 20. It is also observed that when the variability of the scores in the sample, \(r^{2}\) decreases, there is simultaneous decrease in the measures of effect size, Cohen's \(d\) as well.
It is given to us that -
A random sample of n = 16 scores
Population with a mean of μ = 45
Sample mean is found to be M = 49.2
In Reporting Statistical results, there are two different effect sizes, namely eta-squared \(r^{2}\) and Cohen's \(d\).
Eta-square, \(r^{2} = \frac{t^{2} }{t^{2}+df }\)
where, \(df = n-1\)
\(SEM = \frac{s}{\sqrt{n} }\)
and, \(t=\frac{x_{2} -x_{1} }{SEM}\)
Cohen's \(d=\frac{x_{2} -x_{1} }{s}\)
a) Given that the sample standard deviation is s=8
We have n = 16
So, \(df = n-1 = 16-1 = 15\)
\(SEM = \frac{s}{\sqrt{n} } = \frac{8}{\sqrt{16} } = \frac{8}{4} = 2\)
We also have μ = 45 and M = 49.2. This implies
\(t=\frac{x_{2} -x_{1} }{SEM} = \frac{49.2-45}{2} = \frac{4.2}{2} =2.1\)
Now,
\(r^{2} = \frac{t^{2} }{t^{2}+df } = \frac{(2.1)^{2} }{(2.1)^{2}+ 15 }= \frac{4.41}{4.41+15} \\= \frac{4.41}{19.41} = 0.22\)
Cohen's \(d=\frac{x_{2} -x_{1} }{s} = \frac{49.2-45}{8} = \frac{4.2}{8} = 0.52\)
b) Given that the sample standard deviation is s=20
We have n = 16
So, \(df = n-1 = 16-1 = 15\)
\(SEM = \frac{s}{\sqrt{n} } = \frac{20}{\sqrt{16} } = \frac{20}{4} = 5\)
We also have μ = 45 and M = 49.2. This implies
\(t=\frac{x_{2} -x_{1} }{SEM} = \frac{49.2-45}{5} = \frac{4.2}{5} =0.84\)
Now,
\(r^{2} = \frac{t^{2} }{t^{2}+df } = \frac{(0.84)^{2} }{(0.84)^{2}+ 15 }= \frac{0.706}{0.706+15} \\= \frac{0.706}{15.706} = 0.04\)
Cohen's \(d=\frac{x_{2} -x_{1} }{s} = \frac{49.2-45}{20} = \frac{4.2}{20} = 0.21\)
c) Comparing a and b, we see that the variability of the scores in the sample, \(r^{2}\) is 0.22 when s = 8 and \(r^{2}\) is 0.04 when s = 20. Similarly, Cohen's \(d\) is 0.52 when s = 8 and \(d\) is 0.21 when s = 20.
Thus, we can see that when the variability of the scores in the sample, \(r^{2}\) decreases, there is simultaneous decrease in the measures of effect size, Cohen's \(d\) as well.
Therefore, through reporting statistical results, we found that \(r^{2}\) is 0.22 and Cohen's \(d\) is 0.52 when s = 8, and \(r^{2}\) is 0.04 and Cohen's \(d\) is 0.21 when s = 20. It is also observed that when the variability of the scores in the sample, \(r^{2}\) decreases, there is simultaneous decrease in the measures of effect size, Cohen's \(d\) as well.
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What is the arithmetic mean of the following numbers?
8 10 8 5 4 7 5 10 8
What is the exponential form of the following expression? (-5)(-5)(-5) . c . c .c
(-5) . C3
(-5)3 . 3c
(-5)3 . c3
(-5) . c6
need help fast pls?
Answer:
\((-5)^3 * c^3\)
Step-by-step explanation:
Given
\((-5)(-5)(-5) * c * c * c\)
Required
The exponent form
We have:
\((-5)(-5)(-5) * c * c * c\)
Apply the following law of indices;
\(x * x * x ...... = x^n\)
So, the expression becomes:
\((-5)^3 * c^3\)
Answer:
its c
Step-by-step explanation:
Did it on edge
There are 1000 students at a college. In January, æ of these students had passed
their driving test.
Between January and April, the number of students who had passed their driving
test increased by 20%, and the number of students who had not passed
decreased by 5%. No one left or joined the college during this time.
a) Explain why the number of students who had not passed their driving test yet
was 0.95(1000 - x) in April.
b) Hence explain why 1.2x +0.95(1000-x) = 1000.
c) How many students had passed their driving test in January?
a) In April, the number of students who had not passed their driving test decreased by 5%.
b) The equation is 1.2x + 0.95(1000 - x) = 1000.
c) 200 students passed their driving test in January.
a) At the beginning, of January, x students had passed their driving test, then the remaining number of students who had not passed their driving test was (1000 - x).
In April, the number of students who had not passed their driving test decreased by 5%, which means the remaining number of students who had not passed their driving test is 0.95 times the original number (1000 - x).
b)
The number of students who had passed their driving test increased by 20%, which means the new number of students who passed their driving test is 1.2 times the original number (x).
The number of students who had not passed their driving test decreased by 5%, which means the new number of students who had not passed their driving test is 0.95 times the original number (1000 - x).
Therefore, we can write the equation 1.2x + 0.95(1000 - x) = 1000.
c) We can solve for x in the equation 1.2x + 0.95(1000 - x) = 1000.
Expanding the equation, we get:
1.2x + 950 - 0.95x = 1000
0.25x = 50
x = 200
Therefore, 200 students passed their driving test in January.
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