Answer:
Danny
Step-by-step explanation:
danny has a better offer
The table lists the number of members at a local gym for selected years, where year I represents 2002, year 3 represents 2004, and soon.Year* y = number of members2002 1382004 3532006 573802008 720109100Use the ordered pairs (5,73) and (7,80) to find the equation of a line that approximates the data. Express your answer in slope-intercept form. (If necessary, round the slope to the nearest hundredth and the y-intercept to the nearest whole number.)
ANSWER
y = 3.5x + 56
EXPLANATION
The slope of a line passing through points (x1, y1) and (x2, y2) is,
\(m=\frac{y_2-y_1_{}}{x_2-x_1}\)And the slope-intercept form of the equation of a line is,
\(y=mx+b\)Where m is the slope and b is the y-intercept.
In this problem, we have to use points (5, 73) and (7, 80) to find the equation of the line. First, we can find the slope,
\(m=\frac{80-73}{7-5}=\frac{7}{2}\)For now, the equation is,
\(y=\frac{7}{2}x+b\)We have to find the y-intercept, by replacing x and y for the coordinates of one of the given points,
\(80=\frac{7}{2}\cdot7+b\)And solve for b,
\(80=\frac{49}{2}+b\)\(b=80-\frac{49}{2}=\frac{160-49}{2}=\frac{111}{2}\)The equation is,
\(y=\frac{7}{2}x+\frac{111}{2}\)The slope as a decimal is 3.5 and the y-intercept, rounded to the nearest whole number is 56, so the equation is y = 3.5x + 56
2.40 in how many ways can 5 starting positions on a basketball team be filled with 8 men who can play any of the positions?
There are 6720 ways of selecting 5 starting positions out of 8 men.
The total number of ways of selecting 5 starting positions out of 8 men is given by the formula:
nCr = n! / r! * (n-r)!
where n is the total number of men (8) and r is the number of starting positions (5).
nCr = 8! / 5! * (8-5)!
nCr = 8! / 5! * 3! nCr = 8! / (5*4*3*2*1)
nCr = 8! / (120)
nCr = 6720
Therefore, there are 6720 ways of selecting 5 starting positions out of 8 men. This means that the 8 men can be arranged in 6720 different ways to fill the 5 starting positions on the basketball team.
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Need assistance……………………….
Answer:
see attached.
Step-by-step explanation:
\(\frac{1}{x} *x^2+5x\)
A 19-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is three inches more than five times the length of the first piecefind the lengths of the pieces. 3 + 5x
Using algebraic expressions and equations to solve this problem, a 19- inch piece of steel is cut into three pieces measuring 2 inches, 4 inches, and 13 inches.
An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".
If the second piece is twice as long as the first piece, we can write this as an algebraic expression "2x" where x is the length of the first piece.
If the third piece is three inches more than five times the length of the first piece, we can write this as an algebraic expression "3 + 5x" where x is the length of the first piece.
If the three pieces were cut from a single piece of steel 19-inches long, we can write the equation for the sum using the algebraic expressions.
let x = length of first piece
2x = length of second piece
3 + 5x = length of third piece
x + 2x + 3 + 5x = 19 inches
Solving for x,
8x = 19 -3
8x = 16
x = 2 inches
length of first piece = 2 inches
Substitute the value of x in the expressions for the second and third piece.
length of second piece = 2x
length of second piece = 2(2)
length of second piece = 4 inches
length of third piece = 3 + 5x
length of third piece = 3 + 5(2)
length of third piece = 3 + 10
length of third piece = 13 inches
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The first step in solving the equation 3+|2x−1|=8 is to isolate the absolute value expression. What is the first step to isolate the absolute value expression?
Answer:
Subtract 3 from both sides of the equation.
Step-by-step explanation:
I took the test and this is the right answer.
Answer:Subtract 3 from both sides of the equation.
Step-by-step explanation:
geometry is killing me rn and school just started please help .
Answer:
30ft
Step-by-step explanation:
It says that triangle DEF is equal to triangle GHJ, meaning they are congruent. This would automatically mean that the side length of the triangles would be the same. The side length of triangle DEF is 30ft so that would be the same in triangle GHJ.
Hector paid $4.96 for a package of sliced turkey. There were 16 slices in the package.
What is the unit price of the turkey?
Answer:
Unit price = 4.96/16 = 0.31
$0.31
Step-by-step explanation:
The unit price of the turkey is $0.13
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
Given;
Price of package of sliced turkey=$4.96
Number of slices in package= 16
Unit price= price of package/number of slices in package
=4.96/16
=0.31
Therefore, the value of each slice will be $0.13
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The number of songs oliver has downloaded this year, divided by 12, is equal to 6 less than 30. What is an equation that represents this situation, and how many songs has oliver downloaded?.
a. The equation that represents the situation is x/12 = 24
b. The number of songs oliver downloaded is 288 songs
What is an equation?An equation is a mathematical expression that shows the relationship between two variables.
a. What is an equation that represents this situation?Since number of songs oliver has downloaded this year, divided by 12, is equal to 6 less than 30.
Let x represent the number of songs.
Since number of songs oliver has downloaded this year, divided by 12, we have that x/12 is the first part of the simple equation.
Also, since this equals 6 less than 30, we have that the equation equals
x/12 = 30 - 6
x/12 = 24
So, the equation is x/12 = 24
b. How many songs has oliver downloaded?Since x/12 = 24 represent s the situation and x represent s the number of songs oliver downloaded, making x subject of the formula, we have
x/12 = 24
x = 24 × 12
x = 288 songs
The number of songs is 288 songs
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What is the area of an equilateral triangle with side √ 3 4 * 1 point?.
Answer:
3/4 square points
Step-by-step explanation:
An equilateral triangle is a triangle with all sides of equal length.
To find the area of an equilateral triangle, we can use the formula:
Area = (√3/4) * (side length)^2
In this case, the side length is √3/4 * 1 point. To calculate the area, we need to square the side length first.
(√3/4 * 1)^2 = (√3/4)^2 * 1^2 = (3/4) * 1 = 3/4
So, the area of the equilateral triangle is 3/4 square points.
Which graph represents the inequality x<2
Answer:
the graph on the upper right is the answer
Answer:
very late but i hope this can help others out on this quiz
what should be t-value to indicate that curve is not over flattening in smoothening of time series data
When smoothing time series data, it's important to ensure that the curve is not over-flattened, as this can lead to important information being lost.
What should be t-value to indicate that curve is not over flattening?To avoid over-flattening, one approach is to use a threshold value, or "t-value", to determine the maximum amount of smoothing that can be applied.Here are some steps to consider when choosing a t-value:Plot the original time series data and the smoothed curve to visualize the smoothing effect.Compare the slope of the smoothed curve to the slope of the original data.Choose a t-value that preserves the important features of the original data, such as trends, seasonality, and outliers.Ensure that the smoothed curve still accurately represents the underlying pattern in the data, while reducing noise and variability.Re-evaluate the t-value if necessary, based on the visual comparison of the original data and the smoothed curve.The t-value should be chosen such that the smoothed curve captures the underlying pattern in the data, while retaining important features such as trends and seasonality. If the t-value is set too high, the curve may become over-flattened and important information may be lost. On the other hand, if the t-value is set too low, the curve may not effectively reduce noise and variability in the data.To learn more about T-value refer:
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Martin dennis brought a wide screen television for $1720. He made a down payment of 15% and paid the balance over 18 months. The fiance charge was 4% of the amount financed. Find the down payment and the installment price of the televison and the monthly payment
Answer:
Down payment is $258
Installment price is $1766.22
monthly payment is $83.79
Step-by-step explanation:
Down payment is 15% of $1,720 which is $258 (15%*$1720)
Monthly payment can be computed using pmt formula in excel
=pmt(rate,nper,-pv,fv)
rate is the interest rate per month which 4%/12=0.33%
nper is the number of months of payments that is 18
pv is the finance amount which is the price minus down payment i.e $1462 *($1720-$258)
fv is the total finance amount plus interest which is unknown i.e 0
=pmt(0.33%,18,-1462,0)=$ 83.79
installment price =down payment +total repayment
=$258+($83.79*18)=$1766.22
How to solve this I don’t know how to solve it myself
1. Write the equation in standard form:
\(\begin{gathered} \text{Add 156 in both sides of the equation:} \\ -4x^2-40x+156=-156+156 \\ \\ -4x^2-40x+156=0 \end{gathered}\)2. Identify the coefficients a, b and c:
\(\begin{gathered} ax^2+bx+c=0 \\ \\ \text{For the given equation:} \\ a=-4 \\ b=-40 \\ c=156 \end{gathered}\)3. Substitute the values into the quadratic equation:
\(x=\frac{-(-40)\pm\sqrt[]{(-40)^2-4(-4)(156)}}{2(-4)}\)4. Solve the equation for x1 and x2:
\(\begin{gathered} x_{}=\frac{-(-40)\pm\sqrt[]{(-40)^2-4(-4)(156)}}{2(-4)} \\ \\ x_{}=\frac{40\pm\sqrt[]{1600+2496}}{-8} \\ \\ x=\frac{40\pm\sqrt[]{4096}}{-8} \\ \\ x=\frac{40\pm64}{-8} \\ \\ \\ x_1=\frac{40-64}{-8}=\frac{-24}{-8}=3 \\ \\ x_2=\frac{40+64}{-8}=\frac{104}{-8}=-13 \end{gathered}\)Exact form and approximate form are the same for both solutions (x1 and x2):
\(\begin{gathered} x_1=3 \\ \\ x_2=-13 \end{gathered}\)if f(1) = 12, f ' is continuous, and 6 f '(x) dx 1 = 16, what is the value of f(6)
To find the value of f(6), we can use the information given about the function f(x) and its derivative f'(x).The value of f(6) is 44/3.
Given that f'(x) is continuous, we can apply the Fundamental Theorem of Calculus. According to the theorem:
∫[a to b] f '(x) dx = f(b) - f(a)
In this case, we are given that:
∫[1 to 6] 6 f '(x) dx = 16
We can simplify the integral:
6 ∫[1 to 6] f '(x) dx = 16
Since f'(x) is the derivative of f(x), the integral of 6 f '(x) dx is equal to 6 f(x). Therefore, we have:
6 f(6) - 6 f(1) = 16
Substituting the given value f(1) = 12:
6 f(6) - 6(12) = 16
6 f(6) - 72 = 16
Next, we isolate the term with f(6):
6 f(6) = 16 + 72
6 f(6) = 88
Finally, we solve for f(6) by dividing both sides by 6:
f(6) = 88 / 6
f(6) = 44/3
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Mario está aprendiendo a manejar un auto. El lunes 6 de abril ,el práctico 2 horas y cada día siguiente práctico 30 minutos más que el día anterior. ¿Cual fue la fecha del día que práctico 5 horas?
Answer:
Domingo 12 de abril
Step-by-step explanatio
El primer dia Lunes fueron 2 horas Martes fueron 30 munitos mas, ya son 2:30 Miercoles fueron otros 30 minutos mas, son 3 horas. Jueves y Vierns es una hora mas, porque cada dia es 30 minutos. que ya son 4 horas. y el sabado son 30 mas, y el domingo el practica 5 horas
About how many times greater was change in price per gallon in 2007 than 2000? Show your work or explain how u determind your answer.
The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b
Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b
Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.
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30i -10/-25.....??? i am literally so confused- supposed to simplify to the form a + bi
Answer:
2/5 +30i
Step-by-step explanation:
write 8xmxn without the multiplication sign
Step-by-step explanation:
\(8mn\)
or equivalently
\(8\cdot m\cdot n\)
We often write variable side-byside without the multiplication sign in algebra. It also applies to terms with indices. For instance,
\(\text{We write }a^2b^3c^4\text{ and mean }a^2\times b^3\times c^4\)
We may, often also add a dot at the middle of both terms as another version of multiplication sign for better readability if the terms are more complicated, for instance
\(a\cdot b\cdot c\)
and
\(\frac ab\cdot \sqrt{\frac{d^4}{b^9}}\cdot\pi\)
Does (3, 10) make the inequality y > 2x + 2 true?
Answer:
Yes, it makes it true
Step-by-step explanation:
Plug in 3 and 10 as x and y into the inequality:
y > 2x + 2
10 > 2(3) + 2
10 > 6 + 2
10 > 8
Since 10 is bigger than 8, this inequality is true.
So, (3, 10) makes the inequality true.
What is the slope of (-9,4) (-12,8)?
Answer: -5/3
Step-by-step explanation:
Answer: m = -4/3
Step-by-step explanation:
If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .
The Blue Plane travels at a constant speed of 120 miles per hour. If it travels for 2 1/2 hours to get to Pennsylvania how far did it go?
Answer:
The answer is 300 miles
Step-by-step explanation:
120x2=240
120x .5= 60
240+60=300
. Find the slope of a line that passes through the points (–9, –3) and (–7, –
Answer:
jdiejrkduebrhfjdidudjdidudheisuydudud
Step-by-step explanation:
ieejknhsjd
dhsjeuedieiwjwuejxofi 36
A computer was on sale for 270 if the original price was cut by 40% what was the original price
explain.
Answer: 108
Step-by-step explanation: The 40% percent taken away from $270 would be $108, because I round it to 50% percent off and that would $135 but since it's 40% off not 50% so I took away 10% from $135, and that's how I found my answer .
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m-1/2=2+1/4m
o 2
o 3
o 4
o 5
What word is often used as a transition tag to show the progression of the time in a story?
A.since
B.then
C.when
D.only
Answer:
The answer is: C- then
Step-by-step explanation:
Answer:
B. then
Then is often used as a transition tag to show the progression of time in a story.
3|-d + 2| + 1 if d = 4
Answer:
7
Step-by-step explanation:
reminder that the absolute value function always gives a positive result.
3 | - d + 2 | + 1 ( substitute d = 4 )
3 | - 4 + 2 | + 1
= 3 | - 2 | + 1
= 3 × 2 + 1
= 6 + 1
= 7
798/6 plsssssss help
Answer:
133
Step-by-step explanation:
If you divide 798 by 6 you would get 133
Plz mark brainliest
Answer:
133
The question wasn't really specific, so I guess this is the answer? If the question is something else, I can edit this answer or delete it if I can't solve.
Calculate the area of a square with side length 12 cm
Answer:
144 cm^2
Step-by-step explanation:
A square has equal sides, and so if one side is 12 cm, so are the rest.
So 12 * 12 = 144.
Answer:
c
Step-by-step explanation:
test the null hypothesis: h0:(μ1−μ2)=0 versus the alternative hypothesis: ha:(μ1−μ2)≠0. using α=0.04, give the following: The test statistic Z ____
since the population standard deviations (σ1 and σ2) are not provided, we cannot calculate the exact test statistic Z.
To test the null hypothesis H0: (μ1 - μ2) = 0 versus the alternative hypothesis Ha: (μ1 - μ2) ≠ 0, we can use a two-sample z-test. The test statistic is calculated as:
Z = (x bar1 - x bar2) / sqrt((σ1^2 / n1) + (σ2^2 / n2))
Where:
X bar1 and x bar2 are the sample means of the two groups,
σ1 and σ2 are the population standard deviations of the two groups,
n1 and n2 are the sample sizes of the two groups.
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