If initial sample of 458 grams of a radioactive substance decays according to the function [tex]A(t)=458e^{-0.038t}[/tex] then the half-life of the substance is 0.
What is half life?Half-life is the time required for a quantity (of substance) to reduce to half of its initial value.
Given,
An initial sample of 458 grams of a radioactive substance decays according to the function
[tex]A(t)=458e^{-0.038t}[/tex]
We need to find the half life
[tex]458=458e^{-0.038t}[/tex]
Divide both sides by 458
[tex]1=e^{-0.038t}[/tex]
Take log on both sides
[tex]log1=-0.038t[/tex]
0=-0.038t
t=0
Hence, the half-life of the substance is 0.
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Simplify: a³ b^4 / ab²
Answer:
a²b²
Step-by-step explanation:
Variables cancel out when they are divided by itself because they represent the same thing.
a³ / a = a²
b^4/b² = b²
Thus, the final answer is a²b².
graph the function: f(x) = {x+1 if x<0}
{2 if 0<- x <-1 on the coordinate plane}
{x if x>1}
The graph of the function f(x) = { x + 1 } at different domain are plotted and attached
{ if x < 0 }
{ if 0 < x < 1 }
{ if x > 1 }
What is a graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
The relationships between two or more items are frequently represented by the points on a graph.
The graph of f(x) = x + 1 for different domain is plotted and attached
{ if x < 0 } the domain includes { -∞....-3 -2 -1}
{ if 0 < x < 1 } the domain includes { 0...0.7 0.8 0.9}
{ if x > 1 } the domain includes { 0 1 2 3 4 5...∞ }
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There are two right circular cylinders. The radius of the first cylinder is 3 centimeters, and its height is 5 centimeters. The radius of the second cylinder is 15 centimeters, but its height is also 5 centimeters. What is the ratio of the volume of the second cylinder to the volume of the first cylinder?
The ratio of the volume of the second cylinder to the volume of the first cylinder is 25.
To find the ratio of the volume of the second cylinder to the volume of the first cylinder, we need to calculate the volumes of both cylinders and then compare them.
The formula to calculate the volume of a right circular cylinder is given by V = πr^2h, where V represents the volume, r is the radius, and h is the height.
For the first cylinder:
Radius (r₁) = 3 centimeters
Height (h₁) = 5 centimeters
Volume of the first cylinder (V₁) = π * (3 cm)^2 * 5 cm
= 45π cm³
For the second cylinder:
Radius (r₂) = 15 centimeters
Height (h₂) = 5 centimeters
Volume of the second cylinder (V₂) = π * (15 cm)^2 * 5 cm
= 1125π cm³
To find the ratio of the volumes, we divide the volume of the second cylinder by the volume of the first cylinder:
Ratio = V₂ / V₁
= (1125π cm³) / (45π cm³)
= 25
Therefore, the ratio of the volume of the second cylinder to the volume of the first cylinder is 25.
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The equation c = 13.99p represents the proportional relationship between the total cost (c) and the number of pounds (p) of shrimp at a grocery store. Which description is true, based on the equation of the proportional relationship? For $13.99, you can buy 13.99 pounds of shrimp. For $13.99, you can buy 1 pound of shrimp. For $1, you can buy 13.99 pounds of shrimp. For $0.01, you can buy 1 pound of shrimp.
The statement that is true about the proportional relationship:
C = 13.99*p
Is "For $13.99, you can buy 1 pound of shrimp"
Which description is true?
Here we have the proportional relationship:
C = 13.99*p
Where c is the total cost and p is the number of pounds of shrimp bought at a grocery store.
This means that if you buy one pound (p = 1) the total cost will be:
C = 13.99*1
C = 13.99
So each pound costs $13.99
Then the true statement about the proportional relationship is:
" For $13.99, you can buy 1 pound of shrimp."
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Answer:
"For $13.99, you can buy 1 pound of shrimp"
Step-by-step explanation:
Write a linear equation
representing a line passing
through points (3, 5) and (-8,
5).
Hello,
I hope you and your family are doing well!
The answer is y = 5 (See below for the explanation).
To find a linear equation representing a line passing through two points, you can use the slope-intercept form of the equation, which is written as y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line crosses the y-axis).
To find the slope of the line, you can use the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the two given points, we get:
m = (5 - 5) / (-8 - 3) = 0 / -11 = 0
Since the slope of the line is 0, the line is horizontal and passes through both points at the same y-value (5). The x-intercept (the point at which the line crosses the x-axis) is not relevant in this case.
Therefore, the linear equation representing this line is y = 5.
Happy Holiday & New Year!
Please give this answer 5 stars and brainliest if you find it helpful.
Best,
Answer:
y=5
Step-by-step explanation:
y=mx+b
if you put your two point on a graft, they are on same line for the y-intersept. So if that is true then your answer has to y=5
A factory produces 3 diesel-generator sets per week. At the end of each week, the sets are tested. If the sets are acceptable, they are shipped to purchasers. The probability that a set proves to be acceptable is 0.70. The second possibility is that minor adjustments can be made so that a set will become acceptable for shipping; this has a probability of 0.20. The third possible outcome is that the set has to go to the diagnostic shop for major adjustment and be shipped at a later date; this has a probability of 0.10. Outcomes for different sets are independent of one another. (a) Find the probability of each possible number of sets, for one week’s production, which are acceptable without any adjustment. (b) What is the expected number of sets which are tested and found to be acceptable without adjustment? (c) What is the cumulative probability distribution for the number of sets which are tested and found to be acceptable without adjustment? Sketch the corresponding graph
(a) The probability of each possible number of sets that are acceptable without any adjustment can be found using the binomial distribution formula:
P(x) = (n choose x) * p^x * (1-p)^(n-x)
Where:
P(x) is the probability of x successes in n trials
n is the number of trials (in this case, the number of sets produced in a week)
x is the number of successes (in this case, the number of sets that are acceptable without any adjustment)
p is the probability of success (in this case, the probability that a set is acceptable without any adjustment, which is 0.70)
Plugging in the values, we get:
P(0) = (3 choose 0) * 0.70^0 * (1-0.70)^(3-0) = 0.028
P(1) = (3 choose 1) * 0.70^1 * (1-0.70)^(3-1) = 0.081
P(2) = (3 choose 2) * 0.70^2 * (1-0.70)^(3-2) = 0.162
P(3) = (3 choose 3) * 0.70^3 * (1-0.70)^(3-3) = 0.126
(b) To find the expected number of sets that are tested and found to be acceptable without adjustment, we can use the formula:
E(x) = n * p
Plugging in the values, we get:
E(x) = 3 * 0.70 = 2.1
The expected number of sets that are tested and found to be acceptable without adjustment is 2.1.
(c) The cumulative probability distribution for the number of sets that are tested and found to be acceptable without adjustment is the sum of the probabilities of each possible number of successes. For example, the probability of 0 or 1 successes is the sum of the probabilities of 0 and 1 successes: P(0 or 1) = P(0) + P(1) = 0.028 + 0.081 = 0.109. The probability of 0, 1, or 2 successes is the sum of the probabilities of 0, 1, and 2 successes: P(0 or 1 or 2) = P(0) + P(1) + P(2) = 0.028 + 0.081 + 0.162 = 0.271.
The cumulative probability distribution for the number of sets that are tested and found to be acceptable without adjustment is:
P(0) = 0.028
P(0 or 1) = P(0) + P(1) = 0.028 + 0.081 = 0.109
P(0 or 1 or 2) = P(0) + P(1) + P(2) = 0.028 + 0.081 + 0.162 = 0.271
P(0 or 1 or 2 or 3) = P(0) + P(1) + P(2) + P(3) = 0.028 + 0.081 + 0.162 + 0.126 = 0.397
The corresponding graph would be a step function with a step at each possible value of x (in this case, 0, 1, 2, and 3) and the corresponding probability at each step.
Question 3 Multiple Choice Worth 10 points)
(04.05 LC)
D
A hockey player made 88% of her goal attempts last season. The coach wants to estimate the number of goals the player will make out of 10 attempts in a game and decides to
run a simulation. Which of the following could be a representation of the events for the simulation?
O Assign the numbers 00-88 to represent a made goal and the numbers 89-99 to represent a missed goal.
O Assign the numbers 1-9 to represent a made goal and the number 10 to represent a missed goal.
O Assign the numbers 1-88 to represent a made goal and the numbers 89-100 to represent a missed goal.
O Assign the numbers 0-8 to represent a made goal and the number 9 to represent a missed goal.
Answer: Assign the numbers 1-9 to represent a made goal and the number 10 to represent a missed goal.
Step-by-step explanation: The coach wants to ESTIMATE the number of goals the player will make out of 10 attempts. Since someone can’t make 8.8 goals, we can round up to 9 goals.
Study the rectangular prism and its net shown here. Then complete the statements to find the surface area of the prism. Image Description - A rectangular prism with 10 inches height and 2 inches base length and height. The sides are labeled A and the base is labeled B. On the right are four rectangles of equal size stacked one anove the other with two squares on either side of the first rectangle. The rectangles are labeled A and squares, B. The length of the rectangle is 10 inches and the height is 2 inches. The height and the length of the square is 2 inches. CLEAR CHECK Find the area of the Face A rectangles. The area of one Rectangle A is square inches. There are copies of Rectangle A in the prism. So the total area of all the copies of Rectangle A is square inches. Find the area of the Face B squares. The area of one Square B is square inches. There are copies of Square B in the prism. So the total area of all the copies of Square B is square inches. Find the total surface area of the prism. The total surface area is square inches.
A rectangular prism with 10 inches in height and 2 inches in base length and height. The sides are labeled A and the base is labeled B. the total area of all the copies of Rectangle A is 80 square inches.
b) 8 square inches.
c) 88 square inches.
What is the total surface area?Generally, To find the area of the Face A rectangles, you need to multiply the length and the height of one rectangle.
In this case, the length is 10 inches and the height is 2 inches, so the area of one rectangle is 10*2=20 square inches.
There are four copies of Rectangle A in the prism, so the total area of all the copies of Rectangle A is
20*4=80 square inches.
b) To find the area of the Face B squares, you need to multiply the length and the height of one square. In this case, both the length and the height are 2 inches, so the area of one square is
2*2=4 square inches.
There are two copies of Square B in the prism, so the total area of all the copies of Square B is
4*2=8 square inches.
To find the total surface area of the prism, you need to add the areas of all the faces. In this case, the total surface area is
80+8=88 square inches.
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THE COMPLETE QUESTION WAS NOT FOUND
Select the function(s) that have a domain of (- infinity, positive infinity)
Exponential Function
Cubic Function
Quadratic Function
Reciprocal Function
Linear Function
Absolute Function
Logarithmic Function
Square Root Function
Cube Root Function
Constant Function
Step-by-step explanation:
Exponential Function, example y=e×;
Cubic Function, example y=x³;
Quadratic Function, example y=x²;
Linear Function, example y=x-1;
Absolute Function, example y=|x|;
Cube Root Function, example y=∛x;
Constant Function, example y=2.
For the polynomial below, what is the coefficient of the term with the power of
3?
x^3+1/3 x^4+6x+5
A. 5
B. 0
C. 6
D. 1
Answer: The coefficient of the term with the power of 3 is (D. 1)
Step-by-step explanation:
The power of 3 is x^3. When there's no number besides x, we can think of it as an imaginary 1. So, therefore, it's D-1.
Which of the following is NOT a solution of the equation represented by the graph?
(0, 3)
(2, -2)
(3, -4)
(-1, 4)
Answer:
(0,3)
Step-by-step explanation:
(0,3) is not on the graph
Find the value of z.
108°
40°
z=[?]°
Answer:32
Step-by-step explanation:
Assuming this is a triangle, there are three sides.
All sides of a triangle must add up to 180 degrees
180-108-40 = 32
6g+3g
hurry i need the answer ..
Answer:
9g
Step-by-step explanation:
A group of friends wants to go to the amusement park. They have no more than $80 to spend on parking and admission. Parking is $14.75, and tickets cost $11.25 per person, including tax. Write and solve an inequality which can be used to determine
x
x, the number of people who can go to the amusement park.
The inequality which represents the number of people who can go to the amusement park will be 14.75 + 11.25x ≤ 80.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
As per the given,
Total budget = $80
Tickets cost of x number of tickets = 11.25x
Parking cost + tickets cost ≤ total budget
14.75 + 11.25x ≤ 80
Hence"The inequality which represents the number of people who can go to the amusement park will be 14.75 + 11.25x ≤ 80".
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In a certain town, 60% of the households have fiber optic internet access, 30% have at least one high-definition tv, and 20% have both. The proportion of households that have neither fiber optic internet or high-definition tv is:
.3
Answer:
30%
Step-by-step explanation:
See Venn diagram below
The population of Orange County as represented by the function f(x)=87,000(0.9)^x. Where x is the number of years since 2010 The population of Greene Courcy was 78,000 in 2010. and has decreased exponentials y at a rate of 88 a each year.
How do the populations of these countess compare in 2016 ?
Drag a value or word to to cokes to correctly complete he statements:
The population of Greene country in 2015 was 51408 which is greater than the population of Orange country in 2015.
What is an exponential function?
The definition of an exponential function is given by the equation
y = aeᵇˣ, where a and b are constants.
The given function is f(x) = 87000(0.9)ˣ.
Given that x = 0 represents the year 2010.
Therefore, x= 5 represents the year 2015.
Substitute x = 5 into the given function:
f(5) = 87000(0.9)⁵
≈ 51373
Hence, the population of Orange country is about 51373 in 2015.
Now, the population of Greene country was 78000 in 2010 and has decreased exponentially at a rate of 8% each year.
The population of Greene city after 5 years is given by:
78000(1-8%)⁵
= 78000(1 - 0.08)⁵
= 78000(0.92)⁵
= 51408
Therefore, the population of Greene country in 2015 was 51408 which is greater than the population of Orange country in 2015.
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Suppose you can afford to pay $ 325 a month for 9 years towards a new car with no down payment. If the current interest rates are 4.75%, how expensive a car can you afford?
Car sticker price =
You can afford the amount of $24588.44 expensive a car.
What exactly is a monthly payment?A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.
The monthly payment = Total payback / No. of payment
$325 = Total payback / 108
Total payback = $325 x 108 = $351,00
Let the affordable amount of the car would be P
The total payback = P× r/100 × T + P
Here P, r = 4.75, and T = 9 years
$351,00 = P × (4.75/100 × 9 + 1)
$351,00 = P × ( 0.4275 + 1)
$351,00 = P × 1.4275
P = 351,00 / 1.4275
Apply the division operation, and we get
P = $24588.44
Therefore, you can afford the amount of $24588.44 expensive a car.
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Which expression is equivalent to 200k¹5, if k + 0?
O A. 2k¹225
O B. 2k5 25
O c.
O D.
8k5/25
8kv/25
Answer: Choice B
[tex]2k^5\sqrt[3]{25}[/tex]
================================================
Work Shown:
[tex]\sqrt[3]{200k^{15}}\\\\\sqrt[3]{8*25k^{5*3}}\\\\\sqrt[3]{8*25(k^5)^3}\\\\\sqrt[3]{8(k^5)^3*25}\\\\\sqrt[3]{8(k^5)^3}*\sqrt[3]{25}\\\\2k^5\sqrt[3]{25}[/tex]
------------------------
Explanation:
The goal is to factor the radicand in such a way that we pull out perfect cube factors.
Notice that 200 = 8*25 and 8 is a perfect cube (since 2^3 = 8). It is the largest perfect cube factor of 200.
We can rewrite the k^15 as k^(5*3) which is equivalent to (k^5)^3
Once these perfect cube factors are pulled out, they cancel with the cube root to get what you see above.
PLEASE HELP WILL MARK BRAINLIEST..Write a polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots.
x= -2, x=7
P(x)=
A polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots is P(x)=x²-5x-14
What is a polynomial function?A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. One polynomial with an exponent of 1 is 2x+5, for instance. One that has more than two algebraic terms is referred to as a polynomial expression. Polynomial is a monomial or binomial that is repeatedly added, as the name suggests.
A mathematical expression containing one or more algebraic terms, where each algebraic term is made up of a constant multiplied by one or more variables raised to a nonnegative integral power.
x= -2, x=7
Given,
P(x) = 0
This polynomial function has the roots,
x= -2, x=7
So,
(x+2)(x-7)
We have to multiply both of them we get,
P(x)=(x+2)(x-7)
0=x²-5x-14
x²-5x-14=0
Therefore, P(x)=x²-5x-14 is the polynomial function.
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Solve the equation by graphing. 3x+2=-1
Answer:
x=-1
Step-by-step explanation:
we 2 minus 1 and plus 3 (i forgot)
g(n)-50-15n
Complete the recursive formula of g(n).
g(1) =
g(n) = g(n-1)+
Answer:
-65
Step-by-step explanation:
Substitute: g (1) =_50-15
Calculate the sum or difference:
Answer=-65
A sample of 200g of an isotope decays to another isotope according to the function A(t)= 200е⁻⁰⁰⁵⁴⁺ ,where t is the time in years
(a) How much of the initial sample will be left in the sample after 25 years?
(b) How long will it take the initial sample to decay to half of its original amount?
(a) After 25 years, about __g of the sample will be left.
(Round to the nearest hundredth as needed.)
After 25 years, about 52g of the sample will be left and the sample never reaches half of its original amount
How to determine the sample after 25 yearsFrom the question, we have the following parameters that can be used in our computation:
A(t)= 200е⁻⁰⁰⁵⁴⁺
Also from the question, we have
The variable t represents the number of years
This means that
t = 25, in this case
So, we have
A(25)= 200е⁻⁰⁰⁵⁴ ˣ ²⁵
Evaluate the above equation
A(25)= 51.848052128
Approximate
A(25) = 52
This means that the remaining sample is 52 grams
When the sample decays to reach half the initial valueHere, we have
A(t) = 0.5 * 200
A(t) = 100
Substitute the known values in the above equation, so, we have the following representation
200е⁻⁰⁰⁵⁴⁺ = 100
Divide both sides by 100
е⁻⁰⁰⁵⁴⁺ = 0.5
Take the natural logarithm of both sides
0.054t = -0.69314718056
So, we have
t = -0.69314718056/0.054
Evaluate
t = -13
Time cannot be negative
This means that it never reaches half of its original amount
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College and University Debt A student graduated from a 4 -year college with an outstanding loan of $ 9935, where the average debt is 58581 with a standard deviation of 51867. Another student graduated from a university with an outstanding loan of $ 11,757, where the average of the outstanding loans was $ 10,339 with a standard deviation of $ 2133
Part: 0 / 2
Part 1 of 2
Find the corresponding s score for each student. Round s scores to two decimal places.
College student: z=____
University student; z=_____
The corresponding z-score for each student are as follows;
College student, z = 0.73.
University student; z = 0.67.
How to determine the corresponding z-score for each student?Mathematically, the z-score of a given sample size or data set can be calculated by using this formula:
Z-score, z = (x - μ)/σ
Where:
σ represents the standard deviation.x represents the sample score.μ represents the mean score.For the College student, we have the following:
Sample score = $9935.
Standard deviation = $1867.
Mean score = $8581
Z-score, z = (9935 - 8581)/1867
Z-score, z = 1354/1867
Z-score, z = 0.73.
For the University student, we have the following:
Sample score = $11,757.
Standard deviation = $2133.
Mean score = $10,339
Z-score, z = (11,757 - 10,339)/2133
Z-score, z = 1,418/2133
Z-score, z = 0.67.
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HELP! 10 POINTS!!!!
Where are the residual values shown on a residual plot?
A) on the y-axis
B) on the x-axis
C) on the line of best fit
D) on the x and y-axis
The coordinate on which the residual values are shown on a residual plot is: A) on the y-axis.
What is a residual value?A residual value can be defined as a difference between the measured (given or observed) value from a residual plot (scatter plot) and the predicted value from a residual plot (scatter plot).
Mathematically, the residual value of a data set can be calculated by using this formula:
Residual value = given value - predicted value
In Mathematics, the independent variable (fitted values) are generally plotted on the x-axis of a residual plot (scatter plot) while the residual value is plotted on y-axis of a residual plot (scatter plot).
In conclusion, a line of best fit simply refers to a trend line on a residual plot (scatter plot).
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13. Find (f . g)(x) if f(x)=7x³-5x²+42x-30 and g(x)=7x-5.
(f . g)(x)=49x⁴-269x²-150
(f . g)(x)=49x⁴+269x²+150
(f . g)(x)=49x⁴-70x³+319x²-420x+150
(f. g)(x)=49x⁴+70x³-319x²+420x-150
(f . g)(x) is multiplication of f(x) and g(x). So,
(f. g)(x) = [tex]49x^{4}-70x^{3}+319x^{2} -420x+150[/tex] . Option (c) is correct answer.
How to multiply two functions?A new function that is the product of the original two functions is created when two independent functions are multiplied together.
To multiply two functions together, perform these steps:
Each term in the first function should be multiplied by each term in the second function.Combine related terms to produce the desired function.The highest-order term in the new function should come first.In given question we have two functions
f(x) = 7x³-5x²+42x-30
g(x) = 7x - 5
we need to find (f.g)(x) that is nothing but multiplication of f(x) and g(x).
So multiplying both the functions, we get
(f.g)(x) = f(x). g(x)
=( 7x³-5x²+42x-30)*(7x - 5)
=(49[tex]x^{4}[/tex]-35x³-35x³+25x²+294x²-210x-210x+150)
= [tex]49x^{4}-70x^{3}+319x^{2} -420x+150[/tex]
So, option (c) is correct answer.
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At a restaurant, all the freezers are set to a temperature that is below
Let x be the temperature of a freezer. Which inequality represents temperatures below
3°F
x<3
x>3
x<3
x>3
3. x < 3
Explanation:
The inequality represents the greater than ">" or lesser than "<".
∵ The temperature is less than 3 the answer is x < 3.
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The following inequality represents temperatures below 3°F
c. x < 3
What is an inequality?A relationship between two expressions or values that is not equal to each other is referred to as "inequality" in mathematics. So inequality results from an imbalance. For instance, let's say you want to spend $250 on a new bicycle but only have $225. The fact that you are comparing two non-equal numbers makes it an inequality as well.
When two quantities are equal, the symbol "=" is used, and when they are not equal, the symbol "" is used to denote that. When two values are not equal, the first value may be greater than (>), less than (<), greater than equal to (≥), less than equal to (≤). In light of the example given above, 250 > 225.
Solution:
The less than symbol represented as < is only available in x < 3, it is also available in x < -3 but we have given that temperature ins 3°F and not -3°F.
Thus the correct answer is c. x < 3
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What number can 441 be divided by?
-2
-3
-5
-4
Answer:
from the options given it seems that it can only be divided by 3 or –3 which will give you 147 or – 147
Step-by-step explanation:
i hope this helps
Answer:3/c
i am doing this for extra characters
There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club. a. Write a system of linear equations that represents this situation. Let x represent the number of students in the drama club and y represent the number of students in the yearbook club.
x=___+____
__x+___y=64
The system of linear equations that represents the given situation is
x = y + 10
x + y = 64
Writing a system of linear equationFrom the question, we are to write a system of linear equations that represents the given situation
From the given information,
"There are a total of 64 students in a drama club and a yearbook club"
Then, we can write that
x + y = 64
Also,
"The drama club has 10 more students than the yearbook club"
Then, we can write that
x = y + 10
Hence, the system of equations is
x = y + 10
x + y = 64
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How much should you invest at 3% simple interest in order to earn $65 interest in 16 months?
Answer:
To earn $65 in interest in 16 months at a simple interest rate of 3%, you would need to invest $2,166.67. The formula for calculating simple interest is I = P * R * T, where I is the interest earned, P is the principal amount invested, R is the interest rate, and T is the time in years. In this case, we are given that the interest rate is 3%, the time is 16 months, and the interest earned is $65, so we can plug these values into the formula to solve for the principal amount invested:I = P * R * T
$65 = P * 0.03 * (16/12)
$65 = P * 0.03 * (4/3)
$65 = P * 0.01
P = $2,166.67Therefore, to earn $65 in interest in 16 months at a simple interest rate of 3%, you would need to invest $2,166.67.
The equation shown has an unknown number.
Blank divided by 3/7 = 7/15
Enter a fraction that makes the equation true
The required fraction that makes the equation true is 3/15.
What is a fraction?
Fractions represent parts of a whole or group of objects. A fraction is made up of two parts. The number at the top of the line is referred to as the numerator. It specifies the number of equal parts of the whole or collection that are taken. The denominator is the number below the line. It displays the total number of equal parts into which the whole is divided or the total number of identical objects in a collection.
Let x be the required fraction.
Blank divided by 3/7 = 7/15
Then, [tex]\frac{x}{3/7} = \frac{7}{15}[/tex]
or, [tex]\frac{7x}{3} = \frac{7}{15}[/tex]
or, 7x = 21/15
or, x = 3/15
Hence the required fraction that makes the equation true is 3/15.
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