Here is the answer to your question! :)
Write an expression for "c fewer than 4."
Answer: c<4
Step-by-step explanation:
C fewer than 4 means that c is smaller than 4! So we use this mark <
So the answer is c<4
Find the value of 3y + 4 given that - 2y + 6 = 2.
Simplify your answer as much as possible.
Answer:
10
Step-by-step explanation:
to find the answer for 3y + 4 we have to find the value of y.
we can find that by using the second equation.
-2y+6=2
-2y+6-2 =0 (subtract 2 from both the sided)
4= 2y (we will bring the -2y to the other side of the equation and then subtract the 6-2 to get the 4)
4/2=y (divide by 2 on both the sides)
∴ y=2
now we will plug in the y of value that we see as -2 into the first equation.
∴ 3y+4 will become
= 3(2)+4
=6+4
=10
hope this helps!!
can you substitute y=2x+4 and 6x-3y=-12
Answer: x=0 y=4
Step-by-step explanation:
6x - 3(2x + 4) = 12
6x - 6x - 12 = 12
0 = 0
therefore, x = 0
substitute x=0 into y = 2x + 4
y = 2(0) + 4 = 4
You wish to estimate with 90% confidence, the population proportion of U. S adults who eat fast food four to six times per week. Your estimate must be accurate within 3% for the population proportion. A) No preliminary estimate is available. Find the minimum sample size needed. B) Find the minimum sample size needed, using a proper study that found that 11% of U. S adults eat fast food four to six times per week
We need a minimum sample size of 336 to estimate the population proportion of U.S. adults who eat fast food four to six times per week with a 90% confidence level.
A) When there is no preliminary estimate available, we can use the worst-case scenario, which is p = 0.5 (since this gives the maximum possible variability). The margin of error is given as 3% or 0.03. The formula to calculate the minimum sample size needed is:
n = [Z² x p x (1 - p)] / E²
where Z is the z-value for the desired confidence level, p is the population proportion, and E is the margin of error.
At 90% confidence, the z-value is 1.645. Plugging in the values, we get:
n = [(1.645)² x 0.5 x (1 - 0.5)] / (0.03)²
n ≈ 1217.75
We need a minimum sample size of 1218 to estimate the population proportion of U.S. adults who eat fast food four to six times per week with a 90% confidence level and an accuracy of 3%.
B) If a proper study found that 11% of U.S. adults eat fast food four to six times per week, we can use this as a preliminary estimate and calculate the minimum sample size needed with the formula:
n = [Z² x p x (1 - p)] / E²
where p is the preliminary estimate of the population proportion (0.11), and the other variables are the same as before.
At 90% confidence, the z-value is 1.645. Plugging in the values, we get:
n = [(1.645)² x 0.11 x (1 - 0.11)] / (0.03)²
n ≈ 335.77
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two points on the rim of a circle are randomly chosen. what is the probability that the distance between the points is shorter than the side length of an equilateral triangle inscribed in the circle?
Given a circle with radius r, an equilateral triangle can be inscribed in the circle. The side length of the equilateral triangle is equal to the diameter of the circle, which is 2r.
Let A and B be two points randomly selected from the circle. The distance between A and B, AB, is the chord of the circle passing through A and B. For the distance between A and B to be less than 2r,
it means that the chord AB intersects within the circle. In other words, the two points are selected from a circular segment with an angle of less than 60°.The probability of selecting two points that meet this requirement can be calculated as follows:
Let P be the probability of the distance between the points being shorter than the side length of an equilateral triangle inscribed in the circle. This is the probability that the two points lie within a circular segment with a central angle of less than 60°.The total area of the circle is πr².
Thus, the probability that the first point lies within the segment is (1/6)πr² (since the segment has a central angle of 60°). After the first point is selected, the probability that the second point lies within the segment is (1/6-2x/π)r² where x is the angle that the first chord forms.
The probability P is thus given by:P = (1/6)πr²[(1/6-2x/π)r²]/πr² = (1/36-2x/3π)The maximum value of P occurs when x is 0, which means that the first chord is a diameter. Thus:Pmax = (1/36)
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Can you put it into a single fraction
It should be noted that the addition of 3/4 and 1/16 as a single fraction will be 13/16.
How to calculate the valueIn order to add the fractions 3/4 and 1/16, we need to find a common denominator. The smallest common multiple of 4 and 16 is 16.
First, let's convert 3/4 to have a denominator of 16:
3/4 = (3/4) * (4/4) = 12/16
Now we can add the fractions:
12/16 + 1/16 = 13/16
Therefore, the sum of 3/4 and 1/16 is 13/16.
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Can you put it into a single fraction the addition of 3/4 and 1/16.
need answer asap will give brainiest to first correct answer <3
Step-by-step explanation:
.........................
a triangle can be drawn with angle measure of 60 degrees, 60 degrees, and 70 degrees
true or false?
Answer:
False. All triangles must have a total of 180°. 60° + 60° + 70° = 190°.
A sequence can be generated by using the equation shown where a(1)=5 and N is a whole number greater than 1.
What are the first four terms in the sequence shown below?
a. -3, 2, 7, 12
b. 5, 2, -1, -4
c. -3, -15, -75, -375
d. 5, 8, 11, 14
The first four terms in the sequence are 5, 2, -1 and -4
What are the first four terms in the sequence?From the question, we have the following parameters that can be used in our computation:
an = -3 + a(n - 1)
Where
a(1) = 5
This means that
a(2) = -3 + 5
a(2) = 2
a(3) = -3 + 2
a(3) = -1
a(4) = -3 - 1
a(4) = -4
Hence, the first four terms are 5, 2, -1 and -4
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Paige walks to the park 2/3 mile away. It takes her 16 minutes to get there. Paige wants to know her speed in miles per minute
Answer:2/3 / 16
Step-by-step explanation:I js did it and got it correct
The speed of Paige is given by the equation A = 1/24 miles per minute
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed of Paige be represented as A
Now , the equation will be
The distance traveled by Paige D = 2/3 miles
The time required by Paige to walk 2/3 miles T = 16 minutes
So , the speed of Paige A = distance traveled by Paige D / time required by Paige to walk 2/3 miles
Substituting the values in the equation , we get
The speed of Paige A = ( 2/3 ) / 16
On simplifying the equation , we get
The speed of Paige A = 2/48
The speed of Paige A = 1/24 miles per minute
Hence , the speed of Paige is 1/24 miles per minute
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Which table shows a proportional relationship between x and y? A 1 0 2 3 3 6 B 1 1 2 3 3 5 C 1 2 2 4 3 6 D 1 3 2 5 3 7
The second table shows a proportional relationship between x and y.
What is a proportional relationship?
When their ratios are equivalent, proportional relationships between two variables emerge. They can also be thought of in terms of a proportionate connection, where one variable always equals the value of the other's constant.
We are given four tables. In order to find the table with proportional relationship, we will evaluate each table.
A. This does not depict a proportional relationship as there is not a constant change in the output.
B. This depicts a proportional relationship as the output is changing with a constant term 2.
C. This does not depict a proportional relationship as there is not a constant change in the output.
D. This does not depict a proportional relationship as there is not a constant change in the output.
Hence, the second table shows a proportional relationship between x and y.
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Question: Which table shows a proportional relationship between x and y?
A. x y
1 0
2 3
3 6
B. x y
1 1
2 3
3 5
C. x y
1 2
2 4
3 6
D. x y
1 3
2 5
3 7
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
#1 evaluates to 2
#2 evaluates to 0
#3 evaluates to 10
#4 evaluates to 6
code is HIEA
The function h(x) = x2 +3 and g(x) = x2 – 6. If g(x) = h(x) + k, what is the value of k?
Answer:
g(x) = x² - 6
h(x) = x² + 3
g(x) = h(x) + k
x² - 6 = (x² + 3) + k
x² - 6 = x² + 3 + k
- x² - x²
-6 = 3 + k
- 3 - 3
-9 = k
The value of k is -9.
Step-by-step explanation:
MathPapa.com
How do you sum a column in Excel on a Mac?
To see the steps of sum a column in Excel on a Mac.
Now, According to the question:
1. Click the first empty cell below a column of numbers.
2. Do one of the following: Excel 2016 for Mac: : On the Home tab, click AutoSum. Excel for Mac 2011: On the Standard toolbar, click AutoSum. ...
3. Press RETURN .
How do you sum cells on a Mac?
Once the cells are selected, press the Command key and the = (equal sign) key at the same time. This will automatically sum the selected cells. If you want to sum a specific range of cells, you can do so by selecting the first cell in the range, pressing the Shift key, and then selecting the last cell in the range.
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Solving proportional relationships. 1) Pamela drove her car 234 miles and used 9 gallons of fuel. She wants to know how many miles she can drive with 30 gallons of fuel. She assumes the relationship between miles and fuel is proportional.
Answer:
\(780\text{ miles}\)
Step-by-step explanation:
Since Pamela's car's MPG (miles-per-gallon) is maintained, we can set up the following proportion:
\(\frac{234}{9}=\frac{x}{30}\), where \(x\) is the number of miles she can drive with 30 gallons of fuel.
Multiply both sides by 30:
\(x=\frac{234\cdot 30}{9},\\x=\boxed{780\text{ miles}}\)
Therefore, Pamela can drive 780 miles with 30 gallons of fuel.
i need so much help can anyone help me
Answer:
i don't really
Step-by-step explanation:
know that because i am in 6th grade soooooooooooooooooo??????
What is the slope of the line that passes through the points (1,-1) and (3,-7)? Group of answer choices
A: -1/3 B: 3 C: -3 D: -2
Answer:
C. -3
Step-by-step explanation:
Slope = (y2-y1 / x2-x1). -7 - -1 / 3 - 1 = -6 / 2 = -3
Find the derivative.
y = x tanh^-1(x) + ln (√( 1 −x2))
The answer is:
- 1 < x < 1
I hope this is correct
Can you please answer ASAP I need the answer
Answer:
I think x=8
Step-by-step explanation:
5(x+7)+15=90
90 because it's a 90 degree angle
5x+35+15=90
5x+50=90
5x=40
x=8
Find the surface area of the cylinder in terms of pi
Answer:
can u include a picture of the cylinder pls luv
Step-by-step explanation:
Is the following relation a function? {(1,2), (3,4),(-2,4),(3,0)}
Answer:
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
a function has one uniqe output to a input
(2x−6)+4(x−3) i need this answer
Answer:
(2x-6)+4(x-3)
2x-6+4x-12
6x-18
6(x-3)
iready which expression is equivalent to the expression shown
Answer:
7^12
Step-by-step explanation:
When dividing two exponents by the same base, it is the same as subtracting the power (14-2).
f(x) =
2-x
x+1
g(x) = 18 - 3x
(fog)(x) =
The value of the composite function is 2x - 15
What is a function?A function can be defined as a rule, law ore equation that explicitly shows the relationship between two variables.
These variables are called;
The independent variablesThe dependent variablesFrom the information given, we have the functions;
f(x) = 2 - x + 1g(x) = 18 - 2xTo determine the composite function (fog)(x), we have to substitute the value of g(x) as the variable 'x' in the function, f(x), we have;
(fog)(x) = 2 - (18 -2x) + 1
Now, expand the bracket
(fog)(x) = 2 - 18 + 2x + 1
collect like terms
(fog)(x) = 2x - 15
Hence, the function is 2x - 15
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Jose swims 3 laps in a pool every 2 minutes .How long would it take him to win 27 laps
Answer:
18 minutes
Step-by-step explanation:
From the above question:
3 laps = 2 minutes
27 laps = x minutes
Cross Multiply
3 laps × x minutes = 27 laps × 2 minutes
x minutes = 27 laps × 2 minutes/3 laps
x minutes = 18 minutes
Therefore, it would take him 18 minutes to win 27 laps.
You have 4 blue shirts, 6 white shirts,
2 green shirts, and 6 red shirts.
What is the probability of selecting a BLUE
shirt from your dresser?
Please help me!! I’ll give you brainliest if you give me a good answer :(
Answer:
4.5%
Step-by-step explanation:
Consider a population of wildflowers in which the frequency of the red allele cr is p = 0.7.
The wildflowers in this population, the white allele is present in about 30% of the individuals, while the red allele is present in about 70% of the individuals.
The frequency of the white allele (CW) in the population can be determined by subtracting the frequency of the red allele (CR) from 1, since the frequencies of all alleles in a population must add up to 1.
So, the frequency of the white allele (CW) can be calculated as follows:
CW = 1 - CR
Given that the frequency of the red allele (CR) is p = 0.7, we can substitute this value into the equation:
CW = 1 - 0.7
= 0.3
Therefore, the frequency of the white allele (CW) in this population is 0.3.
In genetic terms, alleles are alternative forms of a gene, and the frequencies of different alleles within a population can be used to study genetic variations. In this case, we are considering a population of wildflowers and examining the frequencies of the red allele (CR) and white allele (CW).
The total frequency of alleles in a population is always 1 since each individual carries two alleles (one from each parent). Therefore, the frequency of the white allele can be obtained by subtracting the frequency of the red allele (0.7 or 70%) from 1. This is because the sum of the frequencies of all alleles must equal 1.
By performing the calculation, we find that the frequency of the white allele in this population is 0.3 or 30%.
This means that among the wildflowers in this population, the white allele is present in about 30% of the individuals, while the red allele is present in about 70% of the individuals.
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Complete Question
Consider a population of wildflowers in which the frequency of the red allele CR is p = 0.7.
What is the frequency of the white allele (CW ) in this population?
Lily is going to invest $750 and leave it in an account for 18 years. Assuming the
interest is compounded daily, what interest rate, to the nearest tenth of a percent,
would be required in order for Lily to end up with $1,180?
Please help!! I need helppppp ASAP
Answer:
The interest rate would be 2.5%
2. What are the vertical asymptotes of y=5tan(0.1x)? On Exploration 4.3.3, what is a vertical asymptote for Question 2?A. x=10πB. x=π/10C. x=π/5D. x=0E. x=π/2F. x=5π
the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.
What is Asymptοtes?Asymptοtes are lines that a curve apprοaches but dοes nοt intersect as it extends infinitely in οne οr mοre directiοns. They can be vertical, hοrizοntal, οr οblique.
Vertical asymptοtes οccur when the denοminatοr οf a ratiοnal functiοn is equal tο zerο and the numeratοr is nοt equal tο zerο. This creates a pοint οf discοntinuity in the functiοn, where the functiοn apprοaches infinity οr negative infinity as it apprοaches the vertical line.
The functiοn y = 5tan(0.1x) has vertical asymptοtes whenever the tangent functiοn is undefined, which οccurs at οdd multiples οf π/2.
the vertical asymptοtes οf y = 5tan(0.1x) are given by:
x = (2n+1)π/2*10, where n is an integer.
Fοr Explοratiοn 4.3.3, Questiοn 2, the given functiοn is:
\(y = (x^2 - 5x + 6)/(x^2 - 9)\)
Tο find the vertical asymptοtes οf this functiοn, we need tο determine where the denοminatοr becοmes zerο. This οccurs at x = 3 and x = -3.
Therefοre, the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.
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What is the remainder when x 3 1 is divided by x 3 x 1?
The remainder when x³ - 1 is divided by (x + 3) is -28
How to determine the remainder of the polynomial division?The functions are given as
x 3 1 is divided by x 3
Rewrite them as
f(x) = x³ - 1 is divided by (x + 3)
Set the divisor to 0
So, we have
x + 3 = 0
Determine the value of x
This gives
x = -3
By the remainder theorem
Substitute x = -3 in the function f(x)
So, we have
f(-3) = (-3)³ - 1
Evaluate the expression
f(-3) = -28
By the remainder theorem, this represents the remainder
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