Answer:
31.9
Step-by-step explanation:
15 + 3.6 + 18.6
The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?
A. 8.06 cu. in.
B. 10.75 cu. in.
C. 21.5 cu. in.
D. 32.25 cu. in.
Answer:
B. 10.75 cu. in.
Step-by-step explanation:
Vol. of cylinder = π\(r^{2}\)h = 32.25
If the cone has the same radius and height,
then the vol. of the cone = π\(r^{2}\)h/3 = 32.25/3 = 10.75 cu. in.
If point a is located at ( 2,-3) and there are 10 points between a and b what could be the possible coordinated for point b
The possible coordinates for point B could be (12, 4) if each coordinate increment is 1.
To find the coordinates of point B given that there are 10 equally spaced points between point A and point B, we need to determine the distance between the two points and divide it by 10 to find the increment for each coordinate.
Let's assume the coordinates of point B are (x, y).
The x-coordinate increment would be the difference between the x-coordinates of point B and A divided by 10:
Δx = (xB - xA) / 10
The y-coordinate increment would be the difference between the y-coordinates of point B and A divided by 10:
Δy = (yB - yA) / 10
Substituting the known values:
Δx = (xB - 2) / 10
Δy = (yB - (-3)) / 10
Since we have 10 equally spaced points between A and B, we can calculate the coordinates of point B by multiplying the increments by the number of points from A:
xB = 2 + 10 * Δx
yB = -3 + 10 * Δy
Now we can calculate the possible coordinates for point B using these formulas.
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On Saturday Kendra ran 2.721 kilometers. On Sunday she ran 1.79 kilometers. How much farther did she
run on Saturday than on Sunday?
Answer:
0.9km(rounded to 1dp)
Step-by-step explanation:
2.7km on sat
1.8km on sun
2.7km-1.8km=0.9km
5|2x+6|=26...can someone answer this please
Answer:
x = -2/5 or x = -28/5
Step-by-step explanation:
Let's solve your equation step-by-step.
5(|2x+6|)=26
Step 1: Divide both sides by 5.
5(|2x+6|)/5 = 26/5
|2x+6|=26/5
Step 2: Solve Absolute Value.
|2x+6|=26/5
We know either2x+6= 26/5 r2x+6=−26/5
2x + 6 = 26/5(Possibility 1)
2x+6−6= 26/5 - 6 (Subtract 6 from both sides)
2x = -4/5
2x/2 = -4/5/2 (Divide both sides by 2)
x = -2/5
2x + 6=-26/5 (Possibility 2)
2x+6= -26/5 (Simplify both sides of the equation)
2x + 6 - 6 = -26/5 - 6 (Subtract 6 from both sides)
2x = -56/5
2x/2 = -56/5/2(Divide both sides by 2)
x = -28/5
Answer:
x = -2/5 or x = -28/5
Ahmad is opening a car wash. he knows that the function P(x)=-x^2+40x-376 represents his profit, where x is the number if vacuum bays in the car wash and P(x) is the profit in thousands. what is the range of bays that Ahmad needs to build to earn a profit?
In the function P(x) = -x^2 + 40x - 376 that represents Ahmad's profit, the range of bays that Ahmad needs to build to make a profit is
16 ≤ x ≤ 24How to know the range that will make a profitTo solve the problem, we have to be aware that the curve opens downwards. values at negative side of the y coordinates will mean loss hence for profit we take values that will be at y = 0
The points at y = 0 is called the root and it is solved by solving the quadratic equation
P(x) = -x^2 + 40x - 376
applying {-b ± √(b² - 4ac)}/2a
{-40 ± √(40² - 4 * -1 * -376)}/2 * -1
{-40 ± √(1600 - 1504)}/-2
{-40 ± √(96)}/-2
= 24.9 OR 15.1
since the number of bays cannot be in decimal 15.1 to 24.9. Hence Ahmad should build 16 bays (the number of bay above 15.1) to 24 bays (the number of bays next to 24.9) to make profit
16 ≤ x ≤ 24
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Please help!!
3) Hours 0-4 (Section A)
the person is traveling
away from their starting
location. How far do
they travel in those 4
hours?
(I mostly need help on the unit part, so if you could explain that too, that could help.)
Answer:
30 miles
Step-by-step explanation:
30 is correct. The units on the y-axis are in miles so it is 30 miles
In parallelogram HJKL if m∡HJK=110∘ find m∡JKL.
Answer:
∠ JKL = 70°
Step-by-step explanation:
Consecutive angles in a parallelogram are supplementary , then
∠ JKL + ∠ HJK = 180°
∠ JKL + 110° = 180° ( subtract 110° from both sides )
∠ JKL = 70°
Answer:
70
Step-by-step explanation:
did it before
suppose there are 12 unique books and four shelves. you want to put at least three books on each shelf. how many ways can you accomplish this, assuming order matters?
This task can be done in 31,680 different ways.
In how many ways can you acomplish this?
There are 12 unique books and 4 shelves, if you want to put at least 3 books in each shelve, then that is the only number of books that you can put, because:
3*4 = 12
Assuming order matters (in both shelves and books) one possible outcome is:
Shelve 1:
book 1, book 2, book 3.
Shelve 2:
book 4, book 5, book 6.
Shelve 3:
book 7, book 8, book 9.
Shelve 4:
book 10, book 11, book 12.
For each of the shelves, the possible permutations are:
3*2*1 = 6
And you have 4 shelves that can be permutated at the same time:
4*3*2 = 24
And you can also change the books in each shelf, the permutations there are (for each shelf):
\(C(12. 3) = \frac{12!}{(12 - 3)!*3!} = \frac{12*11*10}{3*2} = 220\)
Now the total number of combinations is given by the product between these:
P = 6*24*220 = 31,680 different ways.
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the assembly time for a product is uniformly discributed between 6 to 10 minutes the standard deviaiton of assembly time in minutes is approximately
The assembly time for a product is uniformly distributed between 6 to 10 minutes the standard deviation of assembly time in minutes is approximately 1.155.
To find the standard deviation of assembly time for a product that is uniformly distributed between 6 to 10 minutes, we can use the following formula for a uniform distribution:
Standard Deviation (σ) = √((b - a)² / 12)
Here, 'a' is the lower limit (6 minutes) and 'b' is the upper limit (10 minutes).
Step 1: Calculate (b - a)²
(10 - 6)² = 4² = 16
Step 2: Divide by 12
16 / 12 = 1.3333
Step 3: Find the square root
√1.3333 ≈ 1.155
So, the standard deviation of assembly time for a product in minutes is approximately 1.155.
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A line perpendicular to y=2/5x+1
Answer:
y = -⁵/₂x + bStep-by-step explanation:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = ²/₅x + 1 ⇒ m₁ = ²/₅
²/₅m₂ = -1 ⇒ m₂ = -⁵/₂
So, any line with slope m = -⁵/₂ will be perpendicular to y = ²/₅x + 1
Identify the highlighted part of circle O shown below
Central angle
Secant
Inscribed angle
Chord
Answer:
Chord
Step-by-step explanation:
Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.
I need three examples on how math is used in psychology.
Answer: 1) Error response times
2) Memory Scanning, visual search
3) Stimulus identification
Step-by-step explanation:1) response times reflext the time it takes to interpret a stimulus,get info from memory, initiate a muscle response
2) The hippocampus retrieves info from the working memory and begins to change the brains physical neural wiring
3) A decisive role in our perception and cognition
In general, there are two areas of psychology where mathematics is heavily utilized: mathematical modeling of psychological theories and experimental phenomena, which gives rise to mathematical psychology, and statistical approaches to quantitative measurement practices in psychology, which give rise to psychometrics.
5+4g+8=1
What is the answer
Answer:
Step-by-step explanation:
5+4g+8=1
add like terms
(5+8)+4g=1
13+4g=1
subtract a -13 from both sides to get 4g by itself
4g=1-13
4g=-12
divide by 4 on each side to solve for g
g=-3
An automobile uses 17 gal of fuel to go 590 mi. how many gallons are required to travel 840 mi? (round your answer to one decimal place.)
Answer:
the car would use 49 gallons because you get a decimal of 49.49 so you would put got decimal to the nearest 1's place and that would be 49
The points M(-10, 3) and P(-4,-8) are graphed on the coordinate plane. To the nearest
tenth of a unit, what is the distance between points Mand P? Round to the nearest
tenth.
Given:
The two points are M(-10, 3) and P(-4,-8).
To find:
The distance between the points M and P.
Solution:
Distance formula:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Using the distance formula, the distance between the given points is
\(MP=\sqrt{(-4-(-10))^2+(-8-3)^2}\)
\(MP=\sqrt{(-4+10)^2+(-11)^2}\)
\(MP=\sqrt{(6)^2+(-11)^2}\)
\(MP=\sqrt{36+121}\)
On further simplification, we get
\(MP=\sqrt{157}\)
\(MP=12.529964\)
\(MP\approx 12.5\)
Therefore, the distance between the given points M and P is 12.5 units.
Janet makes $4.50 an hour for her first hour of work, $7.00 for her second hour, $9.50 for her
third hour and so on. How much money will she earn on her 15h hour of work?
Answer:$
$39.50 by the 15th hour
Step-by-step explanation:
2+2.50x=y
2+2.50(15)=39.50
Which angle is formed by EA−→
and EG−→−?
Select all that apply.
Answer:
Step-by-step explanation:
\(\angle 2,\angle AEG, \angle GEB\)
How many cubic centimetres would you place in a tub of water to displace 1 L of water?
1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water
What is conversion of units?Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.
From the information given, we have that;
Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water
So, we have that there is 1 liter of water in the tub
In order to displace, you need to put something in that is the same amount
Now, let's convert the units
1 liter = 1000 cubic cm
Hence, you need 1000 cubic cm to displace 1 liter
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also, this one I have an answer but not rly sure so um help
Answer:
h(x) = - 2x² + 3
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 7 units up , then
h(x) = f(x) + 7 = - 2x² - 4 + 7 = - 2x² + 3
A machine that originally cost $15,600 has a value of $7500 at the end of 3 years. the same machine has a value of $2800 at the end of 8 years. find the average rate of change in value (depreciation) of the machine between its purchase and the end of 3 years. a. -$3200 per year c. $-5400 per year b. -$2700 per year d. $2700 per year
A) The rate for the first 3 years :
15,600 - 7500 = 8100
8100/3 years = 2,700 per year depreciation.
B) The rate between 3 and 8 years:
7500 - 2800 = 4700
4700 / 5 year = 940 per year depreciation.
C) the value of the machine depreciated at a higher rate in the first 3 years. After the first 3 years, the depreciation rate decreased.
Show that 4 1/5 times 2 3/7 = 10 1/5
Answer:
4 1/5= 21/5
2 3/7= 17/7
21/5×17/7= 357/35
357/35= 10 1/5
Step-by-step explanation:
Use this image to classify each pair of lines.
Select Parallel, Perpendicular, or Cannot Be Determined to classify each pair of lines.
Parallel
Perpendicular
Cannot Be Determined
AB and CD
Answer:
Parallel
Step-by-step explanation:
Help pls
Directions: Identify the binomial factors of the following trinomials.
1. x2 + 9x + 20
2. x2 + 7x + 12
3. x2 + 8x + 15
4. x2 + 7x + 12
5. x2 + 11x + 10
6. x2 + 7x + 6
7. x2 + 5x + 4
8. x2 + 10x + 21
9. x2 + 10x + 16
10. x2 + 10x + 9
11. x2 + 12x + 20
12. x2 + 15x + 14
13. x2 + 13x + 42
14. x2 + 9x + 18
15. x2 + 16x + 60
The factor form of quadratic equations are listed below:
(x + 4) · (x + 5) (x + 3) · (x + 4) (x + 3) · (x + 5) (x + 3) · (x + 4) (x + 10) · (x + 1) (x + 6) · (x + 1) (x + 5) · (x + 1) (x + 7) · (x + 3) (x + 8) · (x + 2) (x + 10) · (x - 1) (x + 10) · (x + 2) (x + 14) · (x + 1) (x + 6) · (x + 7) (x + 6) · (x + 3) (x + 10) · (x + 6)How to determine the binomial factors of quadratic equations
In this problem we find fifteen cases of quadratic equations of the form x² + b · x + c, where b, c are real coefficients. This kind of quadratic equation can be modified into factor form by means of the following rule:
x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)
- r₁ - r₂ = b
r₁ · r₂ = c
Where r₁, r₂ are roots of the polynomial.
Now we proceed to find the binomial factors:
Case 1
x² + 9 · x + 20 = (x + 4) · (x + 5)
Case 2
x² + 7 · x + 12 = (x + 3) · (x + 4)
Case 3
x² + 8 · x + 15 = (x + 3) · (x + 5)
Case 4
x² + 7 · x + 12 = (x + 3) · (x + 4)
Case 5
x² + 11 · x + 10 = (x + 10) · (x + 1)
Case 6
x² + 7 · x + 6 = (x + 6) · (x + 1)
Case 7
x² + 5 · x + 4 = (x + 5) · (x + 1)
Case 8
x² + 10 · x + 21 = (x + 7) · (x + 3)
Case 9
x² + 10 · x + 16 = (x + 8) · (x + 2)
Case 10
x² + 10 · x + 9 = (x + 10) · (x - 1)
Case 11
x² + 12 · x + 20 = (x + 10) · (x + 2)
Case 12
x² + 15 · x + 14 = (x + 14) · (x + 1)
Case 13
x² + 13 · x + 42 = (x + 6) · (x + 7)
Case 14
x² + 9 · x + 18 = (x + 6) · (x + 3)
Case 15
x² + 16 · x + 60 = (x + 10) · (x + 6)
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Write a conjecture that describes the pattern in the sequence. Then use your conjecture to find the next item in the sequence. 0,2,4,6,8
The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10
How to write a conjecture that describes the pattern in the sequence?The sequence is given as:
0, 2, 4, 6, 8
In the above sequence, we can see that each current term is 2 added to the previous term
i.e.
Tn = 2 + Tn-1
Using the above conjecture, we have
Next term = 8 + 2
Evaluate
Next term = 10
Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10
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Multiply the polynomials. Express the answer as single polynomial in standard form. (6x - 7)²
the product of the polynomial (6x - 7)² is 36x² - 84x + 49, expressed in standard form.
To multiply the polynomial (6x - 7)², we can use the concept of binomial expansion or the FOIL method. Let's apply the FOIL method:
(6x - 7)² = (6x - 7)(6x - 7)
Using the FOIL method, we multiply the first terms, outer terms, inner terms, and last terms:
(6x - 7)(6x - 7) = 6x * 6x + 6x * (-7) + (-7) * 6x + (-7) * (-7)
Simplifying each term:
= 36x² - 42x - 42x + 49
= 36x² - 84x + 49
Therefore, the product of the polynomial (6x - 7)² is 36x² - 84x + 49, expressed in standard form.
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Mrs. VanDuker bought her puppy 4 chew toys for $4.25 each. She paid for the toys with a $20.00 bill. How much change should she receive from her purchase?
Answer:
$3
Step-by-step explanation:
3w + 8 < 41 Solve the inequality for w.
Simplify your answer as much as possible.
Answer:
w < 11
Step-by-step explanation:
3w + 8 < 41
3w < 33
w < 11
Answer:
sub subtract 8 both parte an then divide by 3
f(x)=
−x−5
6
3
for −5
for x=−1
for −1
Answer:
77
Step-by-step explanation:
77x1=77
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Sophia for the exponential function f left parenthesis x right parenthesis equals 5 times 2 to the power of x, what is the value of f left parenthesis 3 right parenthesis?
The value of f left parenthesis 3 right parenthesis is 45.
According to the statement
We have given that the F(x) = 5(x)^2
and we have to find the value when Sophia have a 3 right parenthesis.
So, Parenthesis are used in mathematical expressions to denote modifications to normal order of operations.
And now we have to find the value for 3 right parenthesis
And for this purpose we have to put the value X= 3 in the f(x) then
F(x) = 5(x)^2
F(3) = 5(3)^2
F(3) = 5*9
F(3) = 45.
here the value of 3 right parenthesis is 45.
So, The value of f left parenthesis 3 right parenthesis is 45.
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ANOVA
printers (significance level=0.05). [30\%] (c) State two assumptions that are necessary in order for the above ANOVA to be valid. \( [20 \%] \) (d) The company uses leaflets that are of four different
(c) Two assumptions necessary for the validity of the ANOVA are:
1. Independence: The observations within each group and between groups should be independent of each other. This means that the value of one observation should not be influenced by or related to the value of another observation.
2. Homogeneity of variances: The variances within each group should be roughly equal. This assumption, also known as homoscedasticity, ensures that the variability in the dependent variable is similar across all groups.
(d) The company uses leaflets of four different designs to promote its printers. To assess the impact of leaflet design on sales, an ANOVA is performed. The null hypothesis states that the mean sales are equal across all leaflet designs, while the alternative hypothesis suggests at least one mean is different.
By comparing the computed F-statistic with the critical F-value at a significance level of 0.05, the ANOVA determines whether there is sufficient evidence to reject the null hypothesis. If the p-value is less than 0.05, it indicates a significant difference among the leaflet designs.
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