Answer:
99
Step-by-step explanation:
It takes each student 33 seconds to eat an apple. This is done in parallel.
The time it would take if each person ate the exact same amount of apples is 69.6 repeating (calculated by (19 * 33) / 9). However, the apples cannot be cut into parts, so we need to round up to the next multiple of 33. Therefore 99 is the answer.
Carbon-14 is a radioactive isotope of carbon that is used to date fossils. There are about 1.5
atoms of cafbon-14 for every trillion atoms of carbon in the atmosphere, known as 1.5 ppt
(parts per trillion). Carbon in a living organism has the same concentration as carbon-14. When
an organism dies, the carbon-14 content decays at a rate of 11.4% per millennium (1000 years).
Write an equation for carbon-14 concentration (in ppt) as a function of time (in millennia) and
determine how old a fossil must be that has a measured concentration of 0.3 ppt.
Answer:
Function: A=1.5(1+0.114)^1000
Step-by-step explanation:
1.5 is the initial amount and 0.114 in the rate and the 1000 is the time
In carbon dating, the Carbon-14 concentration decays exponentially, and can be described by a formula involving its initial concentration and decay rate. To find a fossil's age with a concentration of 0.3 ppt, we use this decay formula, solve for t (time in millennia), and calculate the fossil's age.
Explanation:To determine the Carbon-14 concentration as a function of time and the age of a fossil with a concentration of 0.3 ppt, we will use the formula of exponential decay based on the half-life concept in carbon dating.
The formula for the carbon-14 concentration as a function of time (t, in millennia) is:
C(t) = C_0 × (1 - 0.114)^t
Where:
C(t) is the Carbon-14 concentration at time t,C_0 is the initial Carbon-14 concentration (1.5 ppt), and0.114 is the rate of decay per millennium (11.4%).To find the age of a fossil with a measured concentration of 0.3 ppt, we solve for t in the above equation with C(t) set to 0.3 ppt:
0.3 = 1.5 × (1 - 0.114)^t
Dividing both sides by 1.5 and taking the natural logarithm:
t = ln(0.3/1.5) / ln(1 - 0.114)
Solving this gives us the age of the fossil in millennia.
The product of 6287×543 = 3,413,841 . What is the value of 628.7×5.43
Answer:
3,413.841
Step-by-step explanation:
you times 628.7 by 5.43 and then you get your answer
Answer:
3413.841
Step-by-step explanation:
Geometry is not something im good at, picture has the info :)
To find the volume of a rectangular prism, you just multiply each side.
3 x 3 x 8 = 72
You had a bag of fruit snacks that you shared with 2 friends. Each of you got at most 6 fruit snacks. The inequality x divided by 3less than or equals6 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag.
Final answer:
The inequality x / 3 ≤ 6 models the situation where a student shares a bag of fruit snacks equally with two friends and they each get at most 6 snacks. Solving the inequality, we find that there were at most 18 fruit snacks in the bag.
Explanation:
The inequality given for the scenario where the student shares fruit snacks with two friends is x / 3 ≤ 6. To solve this inequality, we multiply both sides of the inequality by 3 to isolate x on one side. This gives us x ≤ 18.
Therefore, the total number of fruit snacks that could have been in the bag is at most 18. This means if each person got exactly 6 fruit snacks, there would be 18 in the bag. But since the inequality allows for each person to have gotten at most 6 snacks, there could have been fewer than 18 snacks in the bag.
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
vorth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
A)x + y = 29, 5x + 2y = 100
B)x + y = 100, 5x + 2y = 29
C)5x + y = 29, 2y + x = 100
D)2x + y = 100, 5y + x = 29
Answer:
A IS THE CORRECT ANSWER
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Let x be 14 and y be 15 and solve A like you normally would
Based on the trend lines you just generated, which of these statements are true? Check all that apply.
Answer: Its the answer choices A. and E.
Step-by-step explanation: These are the answer choices.
(A.) Both scatterplots had trend lines with positive slopes.
(B.) The same test score is expected from studying for 5 hours or sleeping for 5 hours.
(C.) There is no correlation between the test scores and the number of hours slept.
(D.) The regression line can predict the number of hours studied based on the number of hours slept.
(E.) There is evidence that those with higher test scores tended to sleep more the night before.
Answer: A and E
Step-by-step explanation: A.Both scatter plots had trend lines with positive slopes
E. There is evidence that those with higher test scores tended to sleep mire the night before.
ANSWER TODAY PLEASE AND THANK YOU. It is 2:08 pm here.
Answer:
Step-by-step explanation:
2 1/2; 4
5/2; 4
100/8
25/4
6 1/4
i need help plz ASAP
What is the mean number of games played?
.
. :
. . : :
4 5 6 7
Games
Answer:
5.5
Step-by-step explanation:
Mean means the sum of given variables divided by the numbers
So to calculate the mean,it will be
4+5+6+7/4
=22/4
Divide both by
= 11/2
We can actually Leave the answer as 11/2 or we can leave as a decimal form
5.5
So the final answer is 5.5
Which unit is not a customary unit?
A. gallon
B. ounce
C. gram
D. cup
Answer:
D.Cup
Step-by-step explanation:
We humans do not use the term Cup anymore. We now use things like Grams,Ounces,Gallons,Or Quarts.
If a triangle has angles 45 and 45 degrees, what is the measure of the third angle?
Answer:
90 or right angle
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
A triangle has to have 180 degrees
so 180 - 90 = 90
What’s a multiplication problem that equals to -5
5*-1
-2.5*2
2.5*-2
-5*1
Answer:
-5*1
-1*5
2.5*-2
-2.5*2
Step-by-step explanation:
9
Aubrey made 12 necklaces in 20
minutes. At this rate, how many
necklaces could Aubrey make in one
hour?
5
24
© 36
D 100
so the answer is 36.
Hope this will help u...
Answer:
36 necklaces
Step-by-step explanation:
Make a proportion
12/20=x/60
Cross multiply
20x=720
Divide by 20 on both sides
x=36
So, she can make 36 necklaces in an hour
Hope this helps! :)
The table below shows the total cost (TC) and marginal cost (MC) for Choco Lovers, a monopolistic firm producing different quantities
of chocolate gift boxes. Fill in the blanks in the table.
Answer:
Spreadsheet values
B3 = $15 (shown)C4 = $420 (shown)D6 = $272.5E4 = $6F2 = $16F6 = $5Other values
profit maximizing Q: 35profit maximizing P: $13maximum profit: $227.5Step-by-step explanation:
Labeling the columns of the spreadsheet A--F, and the rows 1--7, we want to find the values as follows.
a) The relationship between quantity, price, and revenue is ...
total revenue = quantity × price
price = (total revenue)/quantity
Then ...
B3 = 375/25 = 15 (as shown)C4 = 30×14 = 420 (as shown)__
b) The relationship between total cost and marginal cost is ...
mc2 = (tc2 -tc1)/(q2 -q1)
tc2 = (mc2)(q2 -q1) +tc1
Then ...
D6 = 9(40 -35) +227.5 = 272.5E4 = (192.5 -162.5)/(30 -25) = 6__
c) Marginal revenue is figured the same way as marginal cost.
mr2 = (r2 -r1)/(q2 -q1)
Then ...
F2 = (320 -0)/(20 -0) = 16F6 = (480 -455)/(40 -35) = 5__
d) The quantity maximizing profit will be the quantity such that marginal revenue is equal to marginal cost. That is, marginal profit is zero. That quantity is 35, where both marginal cost and marginal revenue are 7.
__
e) The price at a quantity of 35 is 13. This value is read from the given table.
__
f) The maximum profit is the difference between revenue and cost at the profit-maximizing quantity:
maximum profit = 455 -227.5 = 227.5
The question refers to Total Cost (TC) and Marginal Cost (MC) in economics; where TC is the sum of all production costs and MC is the cost of producing one more unit of a good. To fill the table, calculate the difference in total cost for each increase in produced units, as this difference reflects the MC.
Explanation:The question is referring to the concepts of Total Cost (TC) and Marginal Cost (MC) in economics. Total Cost is the complete expenditure made by a firm in the production process, including both fixed and variable costs. Marginal Cost, on the other hand, is the cost of producing one additional unit of a good. In the case of the Choco Lovers firm, it represents the cost of producing an extra box of chocolates.
To fill in the blanks in the table, the differences in total cost for each increase in the quantity of chocolate gift boxes produced should be calculated. This is because the MC at each level of output is the addition to total cost when one more box is produced. So, if total cost rises by $5 when output increases from 10 to 11 boxes, the MC of the 11th box is $5.
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4. Consider the following polynomials: 6(x2 – 3) and 5x2 + x + 11
a. Find the sum of the polynomials.
b. Find the difference of the polynomials.
Answer:
Step-by-step explanation:
6(x² – 3) and 5x² + x + 11
a. Find the sum of the polynomials.
6(x² – 3) and 5x² + x + 11
6x²-18 + (5x² + x + 11)
6x²-18 + 5x² + x + 11
choose like terms
6x²-5x² + x + 11 -18= x²+x-7
b. Find the difference of the polynomials.
6x²-18 -(5x² + x + 11)
6x²-18 -5x² -x - 11
6x²-5x² -x - 11-18
x²-x-29
The cylinder below has a volume of 2,512 cubic cm and a height of 8 centimeters. What is the diameter of the cylinder? Use 3.14 for pi.
Answer:
Radius=10cm
Diameter=20cm
Step-by-step explanation:
The Diameter of the cylinder is 20 centimeters.
It is given that the cylinder has a volume of 2,512 cubic cm and a height of 8 centimeters.
It is required to find the diameter of the cylinder.
What is a volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2h[/tex]
Where r is the radius of the cylinder and h is the height of the cylinder.
We have V = 2512 cubic centimeters and
h = 8 centimeters
[tex]\rm 2512 =3.14\times r^2\times8[/tex]
[tex]\rm \frac{2512}{3.14\times8} = r^2[/tex]
[tex]\rm r^2 =100[/tex]
r = 10 centimeters
Diameter = 2r = 2×10 ⇒ 20 centimeters.
Thus, the Diameter of the cylinder is 20 centimeters.
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Solve for the unknown values :
x = _____ degrees
y = _____ degrees
Given:
One interior angle is 50°.
Exterior angle is 95°.
To find:
The value of x and y.
Solution:
Exterior angle property of triangle:
The measure of an exterior angle is equal to the sum of the measures of the opposite interior angles.
⇒ 50° + y = 95°
Subtract 50° from both sides.
⇒ 50° + y - 50° = 95° - 50°
⇒ y = 45°
Sum of the adjacent angles in the straight line is 180°.
⇒ x + 95° = 180°
Subtract 95° from both sides.
⇒ x + 95° - 95° = 180° - 95°
⇒ x = 85°
The value of x is 85° and y is 45°.
Without additional context such as an equation, the problem to solve for x and y cannot be completed. In mathematics we need the relationship between the variables to solve for them.
Explanation:The question seems to be incomplete as it does not provide the relationship between x and y or any equations for these values.
Normally in mathematics, we need an equation or a system of equations to solve for these variables. For instance, if we were given that x + y = 90 degrees (which is a complementary angle situation), we could subtract the known angle from 90 to find the other.
Without additional information, we are unable to solve this problem. Please make sure you provide all the necessary context when asking questions.
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An arc subtends a central angle measuring
2π3\dfrac{2\pi}{3}
3
2π
start fraction, 2, pi, divided by, 3, end fraction
radians.
What fraction of the circumference is this arc?
of the circumference
Answer:
The arc is one-third of the circumference.
Step-by-step explanation:
The area of a circumference = 2πr
C = 2πr ... (1)
If an arc subtends a central angle measuring 2π/3 rad,
The length of the arc = rθ
Given θ = 2π/3
Length of the arc L = r(2π)/3
L = 2πr/3... (2)
L = 1/3(2πr)
Since C = 2πr
L = 1/3C
This shows that the arc is one-third of the circumference.
Find the value of x such that the data set has the given mean. 102, 119, 107, 115, 110, x; mean 117
To find the value of x that results in a mean of 117 for the data set, sum the known values, multiply the mean by the total number of data points, and solve the resulting equation. In this case, the value of x is 149.
Explanation:The question asks us to find the value of x so that the mean of the data set 102, 119, 107, 115, 110, and x is 117. To calculate the mean of a data set, you sum all the values and divide by the number of values.
First, we sum the known values: 102 + 119 + 107 + 115 + 110 = 553. Since the mean is given to be 117 and we have 6 values including x, the total sum of all the values should be 117 times 6, which is 702. Now we set up the equation to solve for x: 553 + x = 702.
To find x, subtract 553 from both sides of the equation:
553 + x - 553 = 702 - 553
x = 149
Therefore, the value of x that makes the mean of the data set 117 is 149.
carl ran laps around the gym during P.E. class.He ran 8 laps in 10 minutes.If he continues running at this rate how many laps will he run in 2 hours
Answer:
96
Step-by-step explanation:
2 hours = 120 minutes
Laps : mins
8 : 10
X : 120
8/10 = X/120
X = 120 × 8/10
X = 96
Answer:
96 laps in 2 hrs
Step-by-step explanation:
2 hours divided by 10 minutes is 12
12*8=96
To check:
10/8=1.25
120/96=1.25
120=2 hours
Can someone help me with the answer
Answer:
i think 4.356
Step-by-step explanation:
i just multipled them all
Answer:
1.45
Step-by-step explanation:
hope this helps :)
Keith wrote the expression shown to determine the cost in dollars.bor an upcoming
(127.50 - 23.50) + 3(86.50 +4)
Which expression is equivalent to the one Keith wrote?
F
107(90.50)
G 101(90.50)
H 104 + 3(90.50)
)
104 + 263.50
212
Answer:
104+3(90.5)
Step-by-step explanation:
(127.50+23.50)+3(86.50+4)
Let's take the bracket one after another
(127.50-23.50)
104.00
3(86.50+4)
3(90.50)
271.50
Back to the question
151.00+271.50
422.50
So the answer is 104+3(90.50)
Answer:
104+3(90.5)
Step-by-step explanation: becuz i said so
Find the unit rate: $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?
Answer:
It should cost $1.2 for 1 pound of apples.
Step-by-step explanation:
To find the unit rate, divide 3.60 by 3. This gives us 1.2, which shows that for every pound you would pay $1.2.
If 3 pounds of apples cost $3.60 then costs $1.20 for 1 pound of apples.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b.
Given that,
Price for 3 pounds of apples = $3.60.
To find the cost of 1 pound of apple,
Use ratio property,
3 pounds cost = $3.60
1 pound cost = $3.60 / 3
1 pound cost = $1.20
The required cost of 1 pound of apples is $1.20.
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Please help me quick it’s easy
Step-by-step explanation:
c???, it cant change the shape of something in a reflection, cause its literally a mirror image
BRAINLIEST PLZ
Please I need help with this question
Answer:
20
Step-by-step explanation:
Angle ABC = 40 degrees, therefore CB = 40 degrees.
An inscribed triangle is half of the angle in the center so, angle ADC = 20 degrees.
The basic model of a particular car (2WD) with a power sunroof costs $29,115. When equipped with four-wheel drive (4WD) and a sunroof, the vehicle's price rose to
$31,105. The cost of the basic model with 4WD was $30,205. Find the basic price, the cost of 4wd and the cost of a sunroof
Answer:
Sunflower=$900
4WD=$1090
Step-by-step explanation:
Wheareas 2WD costs $29,115 but when converted to 4WD it costs $30,205 then it means the cost of 4WD will be $30205-29115=$1090
The total cost of converting 2WD to 4WD with inclusion of sunroof is $31,105
Therefore, the total cost of 4WD and sunroof will be $31105-$29115=$1990
To get the amount for sunroof, we deduct the total cost that includes 4WD and sunroof from $1090
Cost will be $1990-$1090=$900
Steve went to Macy's to buy clothing, Steve got to the checkout, and he had
$96.30 worth of clothing in his arms. If he has a 30% of coupon, how much
would be his final bill?
Answer:
$67.41
Step-by-step explanation:
We want to find out how much 30% off of $96.30 is. To do that, we need to first multiply $96.30 to find out how much 30% would be. Don't forget to change 30% into its decimal form (30% - > .3).
96.30 x .3 = 28.89
This means that Steve got $28.89 dollars removed from his final bill. To find the actual final bill, subtract 28.89 from 96.30.
96.30 - 28.89 = $67.41
how do i find the value of x?
Answer:h
2x+1+3x+8./2=. 17
5x+9. = 17 x2
5x+9= 34
-9. -9
5x=25
Divide by 5
X=5
Step-by-step explanation:
The composite solid was formed by joining a square pyramid and a rectangular prism. What is the surface area of the composite solid? A rectangular prism with a length of 10 feet, width of 10 feet, and height of 6 feet. A square pyramid with triangular sides with a height of 7 feet.
Answer:
The surface area of the composite solid = 480 square feet
Step-by-step explanation: Given that the rectangular prism is of length of 10 feet, width of 10 feet, and height of 6 feet.
A square pyramid with triangular sides with a height of 7 feet.
The base of the pyramid = width of the rectangular prism.
Pyramid base = 10 feet
A pyramid has 4 triangular faces
Area of a triangle = 1/2bh
Area = 1/2 × 10 ×7 = 35 square feet
Total surface area = 35 × 4 = 140
Rectangular prism has 6 faces
But we will be calculating for 5 faces
Total surface area = 2(10×6) + 2(10×6) + (10×10)
= 120 + 120 + 100
= 340
The surface area of the composite solid = pyramid surface + rectangular prism surface
= 140 + 340
= 480 square feet
what is 1/2 of 3/4??
Answer:
3/8
Step-by-step explanation:
Of means multiply
1/2*3/4 = 3/8