Answer:
4 * 8 = 32
it would be 32
“8 + 8 + 8 +8” = 32 which is the same as “8 x 4”.. So, 4 groups of 8 = 32
The coach for a basketball team wants to try I buy new shoes for her 12 players.
The same shoes are available on double dribble’s web site for $57.75. A 9% processing fee will be applied to the cost of the shoes, plus a shipping fee of $5.99 for each pair.
What is the difference in the total costs of the 12 pairs of shoes between the two sites?
The difference in the total costs of the 12 pairs of shoes between the two sites is $46.77,
How to find the cost difference and total cost?Total cost is the sum up cost for all the individual process. we can find it by adding the cost for each steps.
In the given ques,
Super Sports is offering a 20% discount.
and shoes were originally priced at $72.50 and that a 6.5% sales tax will be applied.
On Double Dribbles, the same shoes were on for $54.75, and a 9% is added and has an extra $5.99 for shipping.
i.e. we have to find the difference in the total costs..
Now we have to multiply 12 by 72.50. The answer to that is 870. Next, we need to multiply 8 by 870 and divide it by 10. The answer to that is 696. Then, we need to add the price and the tax. The price will be 100%, and the tax will be 6.5%. 100 + 6.5 = 106.5. After that, we need to 106.5 by 100. The answer it that is 1.065. Now do times 1.065 by 696. And the answer to that is $741.24.
Do the same for other store. The answer to it is 788.01.
Thus, making Super Sports a better deal.
As, we need to find the difference. So, 788.01 - 741.24 = $46.77.
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The complete question is :
The coach for a basketball team wants to buy new shoes for her 12 players.
Super Sports is offering a 20% discount on each pair of shoes, which were originally priced $72.50. A 6.5% sales tax will be applied to the discounted price.
The same shoes are also available on Double Dribble's website for $54.75. A 9% processing fee will be applied to the cost of the shoes, plus a shipping fee of $5.99 for each pair.
What is the difference in the total costs of the 12 pairs of shoes between the two stores?
A cylinder has a base radius of 6 feet and a height of 12 feet. What is its volume in cubic feet, to the nearest tenths place?
Answer:
its is either 339.3 or 1357.2
Step-by-step explanation:
The volume of the cylinder having radius 6 feet and height 12 feet is 1357.7 cubic feet.
What is volume?Volume is referred to as the area occupied within an object's three-dimensional space.
Given that,
The radius of cylinder r = 6 feet,
And the height of the cylinder h = 12 feet.
To find the volume of the cylinder, use formula,
Volume of cylinder = π × r² ×h
= (22/7) × 6 × 6 × 12
= (22/7) × 432
= 9504 / 7
= 1357.7 cubic feet.
The required volume of the cylinder is 1357.7 cubic feet.
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Select all true statements about the number 3 600
Answer:
we need the statements
can you please solve this for me asap?
Hi there! :)
Answer:
(a) ≈ 3.61 cm.
(b) = 2.77 cm².
Use the Pythagorean theorem to solve for the side-length of DC. Let "s" represent the side-lengths:
s² + s² = 26
2s² = 26
Divide both sides by 2 to simplify:
s² = 13
Take the square root of both sides:
s = √13 ≈ 3.61 cm.
------------------------------------------------------------------------------------------
Calculate the shaded region by subtracting the area of the arc from the area of the square. DC represents the radius of the circle that the arc is apart of. Therefore:
Area of arc AC = 1/4 (πr²)
Solve for the area:
AC = 1/4 (π · (3.61)²)
AC = 1/4 (40.92)
AC = 10.23 cm²
Subtract this area from the area of the square (A = s²)
A = (√13)²
A = 13 cm²
13 - 10.23 = 2.77 cm²
Therefore, the solutions are:
(a) ≈ 3.61 cm.
(b) = 2.77 cm².
Which is the input value produces the same output value for the two functions on the graph ?
Answer:
X = - 2
Hope it's help you.... ^_^
Point P is located at (-2, -3). A second point on the coordinate grid is located 4 units from point P and has an x-coordinate of -2. What is one location of the second point? What is one location of the second point? Select a loaction on the coorsinate grid to plot the second point.
Pls help
bobik: yes, or no
Answer:
yes
Step-by-step explanation:
Answer:
?? Yes??
Step-by-step explanation:
If f(x) = 3x-6 and g(x) = 1/3x+1, then (g(f))^-1 (x) equals.
1-x
1/3(3x-1)
(x+1)
(x-1)
We need to find the inverse of the function gof (x). First we need to find the composite function gof (x) which is given by:
\(g(f(x)) = g(3x - 6)\)
= \((1/3)(3x - 6) + 1\)
= x - 1 + 1
= x
Thus,
gof (x) = x.
Now we need to find the inverse of the function gof (x) to obtain
\((gof)^-1 (x).\)
We have gof (x) = x
which implies\((gof)^-1 (x)\)
= gof (x)^-1
= x^-1
= 1/x,
x ≠ 0
Therefore,
\((gof)^-1 (x) = 1/x\)
which is option (3) (x+1) since 1/x can be written as 1/(x+1-1), where (x+1-1) is the denominator of 1/x.
Hence, the correct option is (3).
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To find (g(f))^-1 (x), substitute the expression for f(x) into g(x) and simplify. The composition of g(f) is x and its inverse is also x. Therefore, (g(f))^-1 (x) equals x.
Explanation:To find (g(f))^-1 (x), we need to first find the composition of g(f) and then find its inverse. Start by substituting the expression for f(x) into g(x): g(f(x)) = g(3x-6) = \frac{1}{3}(3x-6) + 1 = x - 1 + 1 = x. So, g(f(x)) = x. Now, to find the inverse of g(f), we switch the x and y variables and solve for y: y = x. Therefore, (g(f))^-1 (x) = x.
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Use the drop-down menus to complete each equation so the statement about its solution is true. CLEAR CHECK No Solutions 2x+5+2x+3x= x + One Solution 2x+5+2x+3x= x + Infinitely Many Solutions 2x+5+2x+3x= x + NEXT CLOSE Reference calculator formulas glossary CLOSE Language Changes the language of the audio snippets and the glossary ENGLISH
Answer:
x=-5/6 -> One solution
Step-by-step explanation:
will mark as brainliest:)
The function for the cost of materials to make a hat is f(x) = 1/2x + 1, where x is the number of hats. The function for the selling price of those hats is g(fx)), where g(x) = x + 2. Find the selling price of 10
hats.
Answer:
8 dollars
Step-by-step explanation:
f(10)=6
g(6)=8
8 dollars
11. Find the perimeter and area of the figure shown.
Big Ideas Learning, LLC Geometry Assessment Book. Chapter 1 page 15 question 11.
Answer:
Perimeter = 16 units
Area = 15 squared units
Step-by-step explanation:
ABCD is a rectangle.
It's length l = 5 units
and width w = 3 units
Perimeter of ABCD = 2(l + w) = 2(5 + 3) = 2*8 = 16 units
Area of ABCD = 5*3 = 15 squared units.
If a family has five girls and plans to have another child, answer the following if the probability of the event of a boy being born is \( \frac{1}{2} \), and births are independent events. a. What is
In a family with five girls and the probability of a boy being born is 1/2, the probability of the next child being a boy is still 1/2.
The previous births do not affect the probability of the next birth since each birth is an independent event.
The probability of an event occurring is determined by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the event of interest is the birth of a boy.
Since each birth is an independent event, the probability of having a boy on any given birth is always 1/2, regardless of the previous children born.
In the given scenario, the family already has five girls. This information is not relevant to the probability of the next child being a boy. The gender of the previous children does not affect the probability of the next child being a boy or a girl.
Therefore, the probability of the next child being a boy remains 1/2, as it is for any independent birth event.
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You are looking at buying a gym membership. Total Gym has a starting fee of $100 and costs $20 every month. Fitness Plus Elite costs $25 each month with an initial membership cost of $35. At what month will both memberships cost the same? Write and solve an equation to answer the problem. Explain what the answer means for the problem.
Answer:
The answer is 13 because that is the month that both memberships will cost the same amount of money.
Step-by-step explanation:
First translate the question into equations.
Total Gym:
100+20m
Where "m" equals the amount of months
Fitness Plus Elite
35+25m
Where "m" equals the amount of months
Set the equations equal to each other and solve for m, or the amount of months it takes to get the same price for each membership.
100+20m=35+25m Subtract 35 from both sides.
65+20m=25m Subtract 20m from both sides
65=5m Divide both sides by 5
13=m Both memberships will cost the same amount of money at 13 months. You can substitute this value into the original equations to check your work.
100+20(13)=$360
35+25(13)=$360
The answer is 13 because that is the month that both memberships will cost the same amount of money.
3 more than 7 times a number x is 47
Answer:
x = 44/7
Step-by-step explanation:
7x+3 = 47
Subtract 3 from each side
7x+3-3 = 47-3
7x = 44
Divide by 7
7x/7 = 44/7
x = 44/7
Given f(x)=x*-x³-6x², for what values of x will f(x) > 0?
The values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.
To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².
First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).
Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.
Next, we analyze the signs of the factors:
1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.
2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.
3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.
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(1 point) find the interval of convergence for the power series ∑n=2[infinity](x−5)n3n
The interval of convergence for the given power series is (2, 8).
To find the interval of convergence for the given power series. We have the power series:
∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)
To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:
L = lim (n → ∞) |(a_(n+1)/a_n)|
For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:
|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|
Simplify the expression:
|(a_(n+1)/a_n)| = |(x-5)/3|
The series converges if L < 1. So we have:
|(x-5)/3| < 1
Now, we'll solve for x to find the interval of convergence:
-1 < (x-5)/3 < 1
Multiply each term by 3:
-3 < x-5 < 3
Add 5 to each term:
2 < x < 8
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Q(8,7), r(-7,2) s(8,13),t(-11,2) is it parallel
Answer:
it’s neither parallel or perpendicular
Step-by-step explanation:
Mrs. Nygaard needs 12 hours to grade all of her students’ projects. She made a chart to show how much time she could spend grading the projects during the week. Project Grading Day Hours Grading Monday 1 and three-fourths Tuesday 1 and one-half Wednesday 1 and one-fifth Thursday 2 Friday 1 and one-fourth How many hours will Mrs. Nygaard need to work over the weekend to finish grading the projects? 1 and three-fifths hours 4 and StartFraction 3 over 10 EndFraction hours 6 and one-half hours 19 and StartFraction 7 over 10 EndFraction hours
Answer:
B
Step-by-step explanation:
Option B is correct, 4 and 3/10 hours will Mrs. Nygaard need to work over the weekend to finish grading the projects.
What is Fraction?A fraction represents a part of a whole.
To find the total amount of time Mrs. Nygaard has available during the week to grade projects, we need to add up the hours for each day:
1 and three-fourths + 1 and one-half + 1 and one-fifth + 2 + 1 and one-fourth = 7 and five-tenths hours
This means that Mrs. Nygaard has 7.5 hours during the week to grade projects.
If she needs 12 hours to grade all the projects, then she will need to work for an additional:
12 - 7.5 = 4.5 hours over the weekend to finish grading the projects.
Therefore, 4 and 3/10 hours required to Mrs. Nygaard need to work over the weekend to finish grading the projects.
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If you sleep 33% of the year, how many months are spent sleeping?
ranswer
Answer:
3.96 months or close to 4 months
Step-by-step explanation:
\(\frac{33}{100} *\frac{x}{12}\)
Cross multiply
396 = 100x
Divide both sides by 100 to get x alone
396/100 = 100x/100
3.96 = x
Hope this helps and pls do mark me brainliest:)
Answer:
3.96 or 4 rounded
Step-by-step explanation:
4 because is you multiply 12*.33 = 3.96
If you round it is 4 months.
Hope this helps!!
2(x+10)-17=5(1+x) -3x -2
What is x?
100^(2x)=1000^(x+6)
Answer:
x = 18
Step-by-step explanation:
You apply the exponent rules
4x = 3 (x + 6)
Then you solve 4x =3 (x + 6)
Which gives you 18
GUYS PLS I NEED IT IT DUE IN 30 MIN
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10,16,20, and 28. There are two dots above 8 and 14. There are three dots above18. There are four dots above 12. The graph is titled Bus 14 Travel Times.
Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
Bus 47, with an IQR of 8
Bus 14, with an IQR of 6
Bus 47, with a range of 8
Bus 14, with a range of 6
The travel times for Bus 14 are more tightly clustered around the median compared to Bus 47.
Describe Range?In mathematics and statistics, range is a measure of the spread or dispersion of a set of data, and it represents the difference between the largest and smallest values in a dataset.
To calculate the range of a dataset, you simply subtract the minimum value from the maximum value. For example, if you have a dataset of test scores: 65, 72, 80, 85, 92, 98. The highest score is 98, and the lowest score is 65. Therefore, the range of the test scores is 98 - 65 = 33.
While range is a simple and easy-to-calculate measure of dispersion, it can be sensitive to outliers or extreme values in the dataset, which may not be representative of the overall data. Other measures of dispersion, such as variance or standard deviation, may be more appropriate in some cases.
To determine which bus is the most consistent, we need to use a measure of variability. The most appropriate measure of variability to use in this case is the interquartile range (IQR), which is the difference between the first and third quartiles.
For Bus 47, the first quartile is 10, and the third quartile is 18. So the IQR is 18 - 10 = 8.
For Bus 14, the first quartile is 12, and the third quartile is 18. So the IQR is 18 - 12 = 6.
Since the IQR for Bus 47 is larger than the IQR for Bus 14, we can conclude that Bus 14 is more consistent in terms of travel times to school. This means that the travel times for Bus 14 are more tightly clustered around the median compared to Bus 47.
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Can u plz do this in expanded form 30,459,870
Answer:
30,000,000 + 400,000 + 50,000 + 9,000 + 800 + 70
Step-by-step explanation:
Not many steps, just typing it out.
30,000,000 + 400,000 + 50,000 + 9,000 + 800 + 70
(edit: thank you for Brainliest!)
Answer:30,000,000 + 400,000 + 50,000, 9,000 + 800 + 70
(Not sure if this was the expanded form you were talking about, but I hope this helps).
Step-by-step explanation:
Add the numbers according to their place number and expand.
Evaluate the expression without using a calculator 16^3/4
16^3/4 =(2^4)3/4 = 2^3 = 8
what is the appropriate statistical test when the level of measurement is interval and there are two groups?
When there are two groups and an interval level of measurement, the independent samples t-test is the proper statistical test to use.
What is independent samples t-test?To ascertain whether there is statistical support that the associated population means are statistically significantly different, the Independent Samples t Test compares the means of two independent groups. An example of a parametric test is the Independent Samples t Test. Additionally called the Independent t-Test.The independent samples t-test is the proper statistical test when there are two groups and an interval level of measurement.When you only need to compare the means of two distinct groups, use an independent samples t-test! This test is typically used to ascertain whether the means of two populations are different.Therefore, when there are two groups and an interval level of measurement, the independent samples t-test is the proper statistical test to use.
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URGENT HELP PLEASE ILL GIVE BRAINIEST
Rewrite 4,005,000 in scientific notation.
1. 4.005 10^3
2. 4.005 x 10^6
3. 4.5 x 10^3
4. 4.5 x 107^7
Answer : 4.005 x 10 ^6
Step-by-step explanation:
10 the power of 6 is 1,000,000
If u multiply this by 4.005 you get number 2.
hope this helps : )
A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into a nutrient broth, the culture grows at a rate proportional to its size. After 1.5 hours, the population has increased to 825. (a) Find an expression for the number of bacteria after t hours. (Round your numeric values to four decimal places.)
The expression for the number of bacteria after t hours is N(t) = 50e\(^(0.4427t)\) , rounded to four decimal places.
Let N(t) be the number of bacteria after t hours.
Since the culture grows at a rate proportional to its size, we can write:
dN/dt = kN
where k is the proportionality constant.
This is a separable differential equation, which we can solve by separating the variables and integrating:
dN/N = k dt
ln(N) = kt + C
where C is the constant of integration.
To find the value of C, we use the initial condition that the culture initially contains 50 cells:
ln(50) = k(0) + C
C = ln(50)
Substituting C into the previous equation, we get:
ln(N) = kt + ln(50)
Taking the exponential of both sides, we obtain:
N = e\(^(kt + ln(50)) = 50e^(kt)\)
Now we need to find the value of k. We know that after 1.5 hours, the population has increased to 825:
N(1.5) = 825
Substituting this into the previous equation, we get:
825 = 50\(e^(1.5k)\)
Taking the natural logarithm of both sides, we obtain:
ln(825/50) = 1.5k
k = ln(825/50) / 1.5
k ≈ 0.4427
Finally, substituting this value of k into the expression we obtained for N(t), we get:
N(t) = 50e\(^(0.4427t)\)
Therefore, the expression for the number of bacteria after t hours is N(t) = \(50e^(0.4427t)\), rounded to four decimal places.
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BRAINLIEST
a. 45
b. 34
c. 29
d. 56
Find x to the nearest degree
Answer:a. 45
the basic wage for a technician for a 42hour week is $36.40 per hour. Calculate the technicians weekly wage
anyone please help on my 7th grade math
Answer:
okay i will gladly