Answer:
4.73%
Step-by-step explanation:
y = 3×2^(t/15) = 3×(2^(1/15))^t = 3×1.0472941^t
In this form, ...
1 +r = 1.0472941
r = .0472941 ≈ 4.73%
The daily increase is about 4.73%.
Use 3.14 for π. Round answer to the nearest tenth if necessary. A can of chili has a radius of 5.25 cm and a height of 13 cm. Find the volume. (Enter a numerical answer only)
Answer:
V=1,125.1
Step-by-step explanation:
The equation for the volume of a cylinder is (V= πr^2h)
V= π(5.25)^2(13)
V= π(27.5625)(13)
V= π(358.3125)
V=1,125.10125
There are two traffic lights on Broadway. The probability of being stopped at the first light is
40%. The probability of being stopped at the second light is 70%.
Answer:
Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.
There are three possibilities we need to consider:
Being stopped at both lights
Being stopped at neither light
Being stopped at exactly one light
The sum of the probabilities of all of the events has to be 1 because there is a 100% chance that one of these possibilities has to occur, so the probability of being stopped at exactly one light is 1 minus the probability of being stopped at both lights minus the probability of being stopped at neither.
Because the lights are independent, the probability of being stopped at both lights is just the probability of being stopped at the first light times the probability of being stopped at the second light. (0.4)(0.7) = 0.28
The probability of being stopped at neither is the probability of not being stopped at the first light, which is 1-0.4 or 0.6, times the probability of not being stopped at the second light, which is 1-0.7 or 0.3. (0.6)(0.3) = 0.18
The probability at being stopped at exactly one light is 1-0.18-0.28=.54 or 54%.
According to Jax's pedometer, he walked 12.783 miles on Monday, 17.2 miles on
Wednesday and 9.87 miles on Friday. How far did Jax walk on Monday, Wednesday
and Friday?
please help me
39.853
Step-by-step explanation:
He walked 39.853 miles on Monday, Wednesday
and Friday.
A wheel with a diameter of 25 in. is in a puddle of water 8.1 in. deep. What is the width of the wheel, AB, at the surface of the water?
Answer:
AB = 23.4 inches
Step-by-step explanation:
If the diameter of the wheel is 25 inches, we have that its radius is 25/2 = 12.5 inches.
If we draw a radius to the bottom of the wheel and a radius to point A, we have a triangle where we can use Pythagoras' formula:
(see image attached for better understanding)
r^2 = (r-8.1)^2 + (AB/2)^2
12.5^2 = 4.4^2 + AB^2/4
156.25 = 19.36 + AB^2/4
AB^2/4 = 136.89
AB^2 = 547.56
AB = 23.4 inches
If n(U) = 360, n(A) = 240, n(B) = 160, find the maximum value of
n(AUB) and the minimum value of n(A n B). When will the value of
n(An B) be maximum and find its value.
Answer:
here is answer
Step-by-step explanation:
n(AUB) = n(A) + n(B) - n(AnB )
= 240 + 160 - n(A n B)
= 400 - n(AnB )
Since n(AnB) 20, so n(AUB) S 400
But n(U) = 360, so n(A U B)* 360
.. the maximum value of n(AUB) = 360.
When n(A U B) is maximum, n(AnB) will be minimum.
.. min. value of n(An B)
= n(A) + n(B) - Max, value of n(AUB)
= 240 - 160 - 360 = 40
Again, n(
A B) will be maximum when B C A.
..the max. value of n(
A B) = n(B) = 160
Question 11: Please help. What is the equation of the line that is parallel to y−5=−13(x+2) and passes through the point (6,−1)?
The equation will be in slope-intercept form.
Answer:
Step-by-step explanation:
Assume that you have two distinct and nonvertical lines, ℓ 1 {\ell _1} ℓ1 and ℓ 2 {\ell _2} ℓ2 in Slope-Intercept Form. They are parallel lines if their slopes are equal or the same. They are perpendicular lines if their slopes are opposite reciprocals of each other, or the product of their slopes equals −1.
Answer is y= -1
The equation will be y = -1/3x + 1 in slope-intercept form.
What is the equation of a line?The general equation of a line is y = mx + c
where m is the slope of the line and c is the intercept.
A linear equation is defined as an equation in which the highest power of the variable is always one.
First, we need to determine the slope of the given line.
To do this, we convert the equation to the slope/intercept form:
y − 5 = -1/3(x+2)
y = -1/3x -2/3 + 5
y = -1/3x - 13/3
So the slope of the given line is -13.
The line passes through the point (6,−1)
Now we can use the point-slope form of a line to create the equation of the new line:
(y + 1) = (-1/3) (x - 6)
y = -1/3x + 2 -1
y = -1/3x + 1
Hence, the equation will be y = -1/3x + 1 in slope-intercept form.
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hi what is the four time pi?
Answer:
12.5663706144 or just 12.57.Step-by-step explanation:
4 x pi = 12.57
EstimatePi is approx. equal to 3.14
4 x 3 = 12
Which polynomial correctly combines the like term and express the given polynomial in standard form
Answer: c) [tex]3x^4-13y^4+x^3y+9xy^3-8x^2y^2[/tex]
Step-by-step explanation:
[tex]9xy^3-4y^4-10x^2y^2+x^3y+3x^4+2x^2y^2-9y^4[/tex]
Let's rearrange from the 4th power to 1.
[tex]3x^4-4y^4-9y^4+x^3y+9xy^3-10x^2y^2+2x^2y^2[/tex]
Combine like terms (check if they have the same variable raised to the same power.
[tex]3x^4+(-4y^4-9y^4)+x^3y+9xy^3+(-10x^2y^2+2x^2y^2)[/tex]
[tex]3x^4+(-13y^4)+x^3y+9xy^3+(-8x^2y^2)[/tex]
[tex]3x^4-13y^4+x^3y+9xy^3-8x^2y^2[/tex]
Let the random variable X represent the winnings at one play of game A. The mean, H. Of X is known to be -$0.42 and its standard deviation, o, is $0.26. Let the random variable Y represent the winnings at one play of game B. The mean, , of Y is known to be -$0.42 and its standard deviation, o, is $0.21. You have decided to play one of these two games just once. At which game are you more likely to make a profit (i.E., to not lose money)? Explain your thinking.
Answer:
345
Step-by-step explanation:
i know it not
Answer:
565$
Step-by-step explanation:
Y because he got more money
Ava's aquarium is 95% filled with water. The tank holds 1,120 gallons of water. Select the remaining number of gallons of water needed to fill the aquarium to the top.
Answer:
The answer to your question is 56 gal
Step-by-step explanation:
Data
Percent filled = 95%
Total water can hold = 1120 gal
remaining water = ?
Process
1.- Calculate the 95% of 1120 gal
1120 gal ------------------ 100%
x ------------------ 95%
x = (95 x 1120) / 100
x = 106400 / 100
x = 1064 gal
2.- Calculate the remaining water by subtracting the previuos value to the total capacity.
Remaining water = 1120 - 1064
= 56 gal
Answer:
sgdggggggggggggsdfgfgfg
Step-by-step explanation:
I need help with summation notation. Look at picture
Answer:
[tex]=18[/tex]
Step-by-step explanation:
[tex]\sum _{j=1}^33j[/tex]
Apply the constant multiplication rule:
[tex]=3\cdot \sum _{j=1}^3j[/tex]
[tex]\sum _{j=1}^3j[/tex]
Apply sum formula:
[tex]=\frac{1}{2}\cdot \:3\left(3+1\right)[/tex]
[tex]\frac{1}{2}\cdot \:3\left(3+1\right)[/tex]
[tex]=3\cdot \:4\cdot \frac{1}{2}\\[/tex]
[tex]=\frac{1\cdot \:3\cdot \:4}{2}[/tex]
[tex]=\frac{12}{2}[/tex]
[tex]=6[/tex]
[tex]=3\cdot \:6[/tex]
[tex]=18[/tex]
*click image*
Hello! I’m currently in need of help on a assignment thank you so much if you help out I really appreciate you and your hard work and effort!!
Also if you can please show work! I don’t really want to get the answers incorrect sorry!
Answer:
142
Step-by-step explanation:
[tex]\frac{x+18}{5}=32[/tex]
Multiplying both sides by 5, you get:
x+18=160
Now, you can subtract 18 from both sides to get:
x=142
Hope this helps! Comment if this wasn't clear enough, or you need more explanation.
Answer: x=142
Step-by-step explanation:
x+18 / 5 = 32
first multiply both sides by 5
x + 18 = 160
then subtract 18 from both sides
x=142
I don’t understand 1 2 and 3 please help
Answer:
1. 336 in3
2. 384 cm3
3. 336 m3
Step-by-step explanation:
im not positive but i think you just multiply the numbers and put the label as cubed
Chester has a coupon for 1/10 off the price of a shirt. If the shirt originally costs $28.70, what discount would chester recieve from using his coupon
Answer:
Chester would receive a discount of $2.87 on using the coupon.
Step-by-step explanation:
We are given the following in the question:
Original cost of shirt = $28.70
Discount =
[tex]\dfrac{1}{10}\text{ of the original price}[/tex]
We have to find the discount Chester would receive from using this coupon.
Discount amount =
[tex]=\dfrac{1}{10}\times \text{Original Price}\\\\=\dfrac{1}{10}\times 28.70\\\\=2.87[/tex]
Thus, Chester would receive a discount of $2.87 on using the coupon.
Which expression correctly represents "twice the sum of four and a number"?
Answer:
2(4+x)
Step-by-step explanation:
"Twice the sum of" tells us it will be the equation times two
"the sum of four and a number" is easy, thats 4 + x
The second number is x because the number is not specified so we need a place holder, x in this case, to tell us that the number is not given.
All this put together = twice the sum of four and a number, or 2(4+x)
The expression for "twice the sum of four and a number" is represented by 2(x + 4) or 2 * (x + 4), signifying that you first sum the number with four and then double the result.
Explanation:The expression that correctly represents "twice the sum of four and a number" is 2(x + 4) or 2 * (x + 4), where x is the variable representing the unknown number. To arrive at this expression, you first find the sum of four and the number (x + 4) and then multiply the result by two to get twice this sum.
In this context, the word 'twice' is similar to triple as in triple the amount of money being three times as much. This operation is an example of simple addition, much like when two numbers are added in any order, such as 2 + 3 or 3 + 2, which illustrates the commutative property of addition.
Identify the volume and surface area in terms of π of a sphere with a great circle area of 225π ft2
V = 900π ft3; S = 4500π ft2
V = 4500π ft3; S = 900π ft2
V = 300π ft3; S = 900π ft2
V = 900π ft3; S = 300π ft2
Answer:
B (V = 4500π ft3; S = 900π ft2)
Step-by-step explanation:
If the great circle's area is 225pi, that makes the radius sqrt225 = 15
The volume of a sphere is (4/3) pi r^3, so the volume would be 3375 * 4/3 pi= 4500pi
The surface area of a sphere is 4 pi r^2, so the Surface area would be 4 * 225 pi = 900pi
That makes the answer B (V = 4500π ft3; S = 900π ft2)
a 20 ounce bottle of lotion costs $3.95. how much does each ounce costs ?
Answer:
3.95 divided by 20 equals 0.1975
Each ounce costs $0.1975.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units. Hence this method aims at determining values in relation to a single unit.
Given here, a 20 ounce bottle and it costs $3.95
1 ounce of lotion would cost $3.95 / 20= $0.1975.
Hence, Each ounce costs $0.1975.
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Alvin has a prism-like water tank whose base area is 0.9 square meters and height is 0.6 meters. He wants to buy guppy fish, and the pet store owner tells him to make sure their density in the tank isn't more than 5 fish per cubic meter. How many fish can Alvin get, at most?
Answer:
Alvin can't have more than 2 fishes on his tank.
Step-by-step explanation:
In order to calculate how many fish Alvin can have in his tank we first need to calculate the volume of the tank. A prism's volume is given by the following formula:
v = Abase*h
Therefore for Alvin's, we have:
v = 0.9*0.6 = 0.54 m³
Since he can't have more than 5 fish per cubic meter we can use a rule of three in a way that:
5 fish -> 1 m³
x fish -> 0.54 m³
5/x = 1/0.54
x = 0.54*5 = 2.7
Since he can't have a 0.7 fish and in order to mantain the density to the recommended level, he can't have more than 2 fishes.
Help please I really need it
Answer:
402.705 cm^2
Step-by-step explanation:
pi * r^2 * h /3 ---> (Volume of a cone)
3.14* 4.5^2 * 19 /3 =
3.14 * 20.25*19/3 = 402.705
Answer:
it would be around 318.09 cubic centimetres in volume for the cone
2c+2=10
A.-4
B.3
C.5
D.4
Answer: 4
Step-by-step explanation: Subtract 2 on both sides, you get 2c=8 ... divide 2 on both sides. C = 4
Answer:
D 4
Step-by-step explanation:
2c+2=10
Subtract 2 from each side
2c+2-2=10-2
2c = 8
Divide each side by 2
2c/2 = 8/2
c =4
The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.2 years, with a standard deviation of 3.5 years. The winner in one recent year was 23 years old.
(a) Transform the age to a z-score.
(b) Interpret the results.
(c) Determine whether the age is unusual.
Part(a): The value of the Z-score is -1.2
Part(b): The age of the winner is -1.2 standard deviation from the mean.
Part(c): Yes, the age is unusual.
Given,
[tex]\mu =27.2\\\sigma = 3.5[/tex]
Winner age, X = 23
Part(a):
The formula for the Z-score is,
[tex]Z=\frac{x-\mu }{\sigma } \\=\frac{23-27.2}{3.5}\\=-1.2[/tex]
Part(b): The age of the winner is -1.2 standard deviation from the mean which is equal to its Z-score value.
Part(c): Yes, the age is unusual.
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To calculate the z-score, subtract the mean age from the winner's age and divide by the standard deviation, resulting in -1.2. This indicates the winner is 1.2 standard deviations younger than the mean age. Since the z-score is not beyond -2, the age is not considered unusual.
The question requires us to calculate a z-score and interpret the results regarding a recent cycling tournament winner's age in context of a normal distribution.
Calculating the z-score
To calculate the z-score:
Subtract the mean age from the winner's age.
Divide by the standard deviation.
In our case:
The winner's age = 23 years
The mean age = 27.2 years
The standard deviation = 3.5 years
Thus, z = (23 - 27.2) / 3.5 = -1.2
Interpretation
This z-score means the winner's age was 1.2 standard deviations to the left of the mean. In other words, the winner is younger than the average.
Determining Unusual Age
If we consider ages that lie more than 2 standard deviations from the mean as unusual (which corresponds to roughly the outer 5% of data in a normal distribution), then a z-score of -1.2 does not qualify as unusual, since it is not beyond the 2 standard deviation threshold.
solve the equation!
5(n-2)=45
what is n?
Answer:
The answer is n = 11
Explanation:
Divide both sides by 5
Move the constant to the right
Then add the numbers.
Answer:
n is 11
Step-by-step explanation:
because when you work backwards 45 divided by 5 is 9 so then 9 + 2 is 11 and that is N
At the beginning of the year, Omar has $120 in his bank account. He deposits $24 each week.
How many weeks will it take for Omar to have $480 in his account?
A) 4
B) 5
C) 15
D) 20
E) 25
Answer:
15 weeks
Step-by-step explanation:
He deposits 24 each week, so 480-120 is 360. Then if you divide 360 by 24 to see how many weeks, it is 15.
Answer:
that will be 15
Step-by-step explanation:
f y = x2 − 2x, which ordered pair gives the location for one of the points on the graph?
Answer: C) (-3,15)
Step-by-step explanation:
Just did USATestPrep and that is the order pair that gives u one of the points on the graph if y= x^2 - 2x
x + x + 3y how do I simplify?
Answer:
2x + 3y
Step-by-step explanation:
If M(-2,8) is reflected in the y-axis what are the coordinates of M , the image M
Answer:
If it was reflected over the y-axis, the x variable would be inverted, causing the coords to be M(2,8)
The graph of f(x) = x6 – 2x4 – 5x2 + 6 is shown below.
How many roots of f(x) are rational numbers?
Answer:
B. 2
Step-by-step explanation:
egd. 2021
Answer:
B
Step-by-step explanation:
The roots of rational numbers is when you find the square root making it B
A rectangle is 2 inches wide, and more than 2 inches long. It so happens that this rectangle can be divided, by a single cut, into a 2-inch square and a small rectangle that has exactly the same shape as the large rectangle. What is the length of the large rectangle
Answer:
6 in.
Step-by-step explanation:
The Length of the large rectangle is 2 units.
It is required to find the length of the large rectangle.
What is rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
Given:
A rectangle is 2 inches wide, and more than 2 inches long.
According to given question we have,
Ratio of width to length of known rectangle is 2:4 this simplifies to 1:2
The smaller similar rectangle will have the same ratio. .i.e. 1:2
Since the width is 1 then the length will be 2.
.This can also be looked at another way. the second value in the ratio is
2:1 of the first value in the ratio and the first value is 1:2 of the second value.
So, Length of the large rectangle is 2 units.
Width of the large rectangle is 1 units.
Therefore, the Length of the large rectangle is 2 units.
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At the end of summer, Spencer's favorite toy store had a huge sale. Spencer picked out a remote–control car on sale for 20% off the original price of $79.99. He also picked out a robot for 25% off the original price of $99.99. How much money did Spencer save?
Answer:
he saved $40
Step-by-step explanation:
The required money saved by spencer at the end of the summer sale is $40.98.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Spencer picked out a remote–control car on sale for 20% off the original price of $79.99.
He also picked out a robot for 25% off the original price of $99.99.
Money saved by spencer = 0.2 × 79.99 + 0.25 × 99.99
= 15.99 + 24.99
= $40.98
Thus, the required money saved by spencer at the end of the summer sale is $40.98.
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Amanda is 3 years older than Brantley and Carlos is twice as old as Amanda. The sum of their ages is 57. How old is Amanda?
Answer:
15 years old
Step-by-step explanation:
Let's say Amanda's age is a, Brantley's age is b, and Carlos's age is c.
"Amanda is 3 years older than Brantley" means that a = 3 + b
"Carlos is twice as old as Amanda" means that c = 2 * a = 2a
"The sum of their ages is 57" means a + b + c = 57
We know that a = 3 + b, which can be written as b = a - 3. Substitute a - 3 in for b and 2a in for c in the equation a + b + c = 57 so that we have one variable to solve for:
a + b + c = 57
a + (a - 3) + 2a = 57
4a - 3 = 57
4a = 60
a = 15
Amanda is 15 years old.
Answer:
15
Step-by-step explanation:
A = B + 3
B = A - 3
C = 2A
A + B + C = 57
A + A - 3 + 2A = 57
4A - 3 = 57
4A = 60
A = 15