Last year the attendance at the homecoming football game was 300.This year 360 people attended.What was the percent increase from last year to this year
A baseball player got 10 hits in 39 times at bat. What percent of his times at bat did he get a hit? (Round to the nearest percent.)
Answer:
26%
because I did the Math so don't ask OKAY!
A function has a constant tripling time. What type of function does this represent ?
A. Expontential decay
B. Decreasing linear
C. Increasing linear
D. Exponential growth
Answer: This represented a exponential growth function.
Step-by-step explanation:
Exponential growth is demonstrated when the rate of change of the value of any mathematical function[the change per unit of time] is proportional to the function's present value, resulting in its value at any time being an exponential function of time or becomes a function in which the time value is the exponent.
Given : A function has a constant tripling time. So it is highly increasing (exponentially) with the time i.e. the function is exponential function.
Answer: Hello mate!
A constant tripling time means that there is a time T, a quantity triples when t = T, then triples again when t = 2T, and again when t = 3T.
Then if A is the initual cuantity; we have a function of the form
f(t) = A*3^(t/T)
and you can see that:
f(0) = A
f(T) = A*3
f(2T) = A*3^2 = (A*3)*3
and so on:
This function describes an exponential growth (because f(t) increases exponentialy over time)
A store gets a bucket of eggs for $16.20 and sells a dozen eggs for $3.50. If there are 450 eggs in the bucket, by what percent has the store increased the price per dozen eggs?
The store has increased the price per dozen eggs by approximately 64.57%.
Explanation:To calculate the percent increase in price per dozen eggs, we can compare the old price per dozen eggs to the new price per dozen eggs. The original price per dozen eggs is $3.50, and the new price per dozen eggs can be calculated by dividing the total cost of the bucket of eggs by the number of dozens it contains. Since there are 450 eggs in the bucket and a dozen is equal to 12 eggs, the new price per dozen eggs is $16.20 / (450 / 12) = $5.76.
To find the percent increase, we can use the formula:
Percent increase = (new price - original price) / original price * 100%
Substituting the values into the formula, we have:
Percent increase = ($5.76 - $3.50) / $3.50 * 100%
Percent increase = $2.26 / $3.50 * 100%
Percent increase ≈ 64.57%
The store increased the price per dozen eggs by approximately 710.19%.
To determine by what percent the store has increased the price per dozen eggs, we first need to calculate the original price per dozen and then compare it to the selling price per dozen.
Step-by-Step Calculation:
1. Calculate the original price per egg:
[tex]\[ \text{Total cost of 450 eggs} = \$16.20 \][/tex]
[tex]\[ \text{Cost per egg} = \frac{\$16.20}{450} = \$0.036 \text{ per egg} \][/tex]
2. Convert the cost per egg to the cost per dozen:
[tex]\[ \text{Cost per dozen} = \$0.036 \times 12 = \$0.432 \][/tex]
3. Given selling price per dozen:
[tex]\[ \text{Selling price per dozen} = \$3.50 \][/tex]
4. Calculate the price increase per dozen:
[tex]\[ \text{Price increase per dozen} = \$3.50 - \$0.432 = \$3.068 \][/tex]
5. Calculate the percent increase:
[tex]\[ \text{Percent increase} = \left( \frac{\$3.068}{\$0.432} \right) \times 100 = 710.19\% \][/tex]
- The store has increased the price per dozen eggs by approximately 710.19%.
cody spent $144 on shirts. fancy shirts cost $23 and plain shirts cost $13. if he bought a total of 8 then how many of each kind did he buy?
The perimeter of a sand volleyball court is 52 meters. The area is 153 square meters. What are the dimensions of the volleyball court?
To find the dimensions of the volleyball court, set up a system of equations using the perimeter and area formulas. Solve the equations to find the possible dimensions of the court.
Explanation:To find the dimensions of the volleyball court, we can set up a system of equations using the given information. Let's represent the length of the court as 'l' and the width as 'w'. We know that the perimeter of a rectangle is given by the formula 2l + 2w, so we can set up the equation 2l + 2w = 52. Additionally, we know that the area of a rectangle is given by the formula lw, so we can set up the equation lw = 153.
Using these equations, we can solve for the dimensions of the volleyball court. Let's solve the first equation for l: 2l = 52 - 2w. Dividing both sides by 2 gives us l = 26 - w. Now we can substitute this value of l into the second equation: (26 - w)w = 153. Expanding this equation gives us w^2 - 26w + 153 = 0. We can solve this quadratic equation using factoring, the quadratic formula, or by graphing. After solving for w, we can substitute this value back into the equation l = 26 - w to find the length of the court.
After solving the quadratic equation, we find two possible values for the width: w = 9 and w = 17. Plugging each value into the equation l = 26 - w, we find the corresponding lengths: l = 17 and l = 9. Therefore, the possible dimensions of the volleyball court are 17m by 9m or 9m by 17m.
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Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate for the data below.
Survey responses of "yes comma " "no comma " and "no opinion"Survey responses of "yes," "no," and "no opinion"
Choose the correct answer below.
A.
The nominalnominal level of measurement is most appropriate because the data cannotcannot bebe ordered.ordered. nothing nothing nothing nothing nothing nothing nothing nothing nothing nothing
B.
The intervalinterval level of measurement is most appropriate because the data can becan be ordered comma differences left parenthesis obtained by subtraction right parenthesis can be found and are meaningful comma andordered, differences (obtained by subtraction) can be found and are meaningful, and there is no natural starting point.there is no natural starting point.
C.
The ratioratio level of measurement is most appropriate because the data can be ordered commacan be ordered, differences left parenthesis obtained by subtraction right parenthesis can be found and are meaningful comma and there is adifferences (obtained by subtraction) can be found and are meaningful, and there is a natural starting point.natural starting point.
D.
The ordinalordinal level of measurement is most appropriate because the data can becan be ordered comma but differences left parenthesis obtained by subtraction right parenthesis cannot be found or areordered, but differences (obtained by subtraction) cannot be found or are meaningless.
Prove the divisibility of the following numbers:
51^7-51^6 by 25
To prove the divisibility lets expand each number first to get the complete picture of the problem
51^7 = 8.974106779 . 10^11
51^6 = 1.75962878 . 10^10
(51^7 - 51^6) = 8.974106779 . 10^11 - 1.75962878 . 10^10
= 8.798143901. 10^11
[tex]\frac{8.798143901. 10^11}{25}[/tex]
= 3.51925756. 10^10
That is the answer expressed in scientific notation
= 35192575600
Which means the divisibility is proven
Step-by-step explanation:
[tex]51^7-51^6=51^{6+1}-51^6\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=51^6\cdot51^1-51^6\cdot1\\\\\text{use the distributive property}\ a(b-c)=ab-ac\\\\=51^6\cdot(51-1)=51^6\cdot50=51^6\cdot(2\cdot25)=25\cdot(51^6\cdot2)[/tex]
[tex]\text{One of the factors of the product is the number 25.}\\\\\bold{CONCLUSION:}\\\\\text{The whole product is divisible by 25.}[/tex]
[tex]\text{Therefore}\ 51^7-51^6\ \text{is divisible by 25.}[/tex]
Owen used these steps to solve the equation 4x+7=1+2(2x+3) . Which choice describes the meaning of his result, 7=7 ?
a.The result is not correct because Step 2 has an error.
b.The solution is x=7.
c.No values of x make the equation true.
d.All values of x make the equation true.
The choice that describes the meaning of the result is,
all values of x make the equation true.
The correct option is d.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
Owen used these steps to solve the equation,
4x+7 = 1+2(2x+3).
Simplifying,
4x + 7 = 1 + 4x + 6
4x + 7 = 4x + 6 + 1
4x + 7 = 4x + 7
Subtract 4x to both sides,
7 = 7.
That means, the equation has infinitely many solutions.
Therefore, all values of x make the equation true.
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Light travels at a speed of about 3.0x10^8 meters per second. How far does light travel in 4,500 seconds You Would Get __ E __
light would travel approximately [tex]\( 1.35 \times 10^{12} \)[/tex] meters in 4,500 seconds.
To find out how far light travels in 4,500 seconds, we can use the formula:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
Given that the speed of light is approximately [tex]\( 3.0 \times 10^8 \)[/tex] meters per second and the time is 4,500 seconds, we can plug these values into the formula:
[tex]\[ \text{Distance} = 3.0 \times 10^8 \text{ m/s} \times 4,500 \text{ s} \][/tex]
Calculating this gives us:
[tex]\[ \text{Distance} = 1.35 \times 10^{12} \text{ meters} \][/tex]
So, light would travel approximately [tex]\( 1.35 \times 10^{12} \)[/tex] meters in 4,500 seconds.
The table given are for the linear functions f(x) and g(x) what is the input value for which f(x) = g(x) is true ?
x=
The functions f(x) and g(x) will be equal at x = -1 the input value will be -1.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
Two function f(x) and g(x) shown in the table.
From the table:
At x = -1
f(-1) = 3
At x = -1
g(-1) = 3
f(-1) = g(-1)
or
f(x) = g(x) at x = -1
Thus, the functions f(x) and g(x) will be equal at x = -1 the input value will be -1.
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Find the values of the power in the following pattern: (10)1, (10)2, (10)3, (10)4....Describe the pattern, and use it to evaluate (10)6 without using multiplication
you suspect that an unscrupullous employee at a casino has tampereed with a die. that is, he is using a loaded die. In order to test this claim you roll it 258 times and obtain the folllowing frquencies Category 1 2 3 4 5 6 Frequency 48 52 51 34 48 25 a. Choose the approp. alternative hypotheses to test if the population proportion differ a/all population proportion differ from 1/6 b/ Not ll population proportion are equal to 1/6 b-1 calculate the value of the test statistic(round to at last 4 decimal places) b-2 Approx. the p-value c. at the 10% signifigance level. can you conclude that the die is loaded?
Please give answer and explain please.
Help please? I don't understand..!
Graph each figure and classify it. Then find the area.
Answer:
This is a Trapezoid! It has 22 [tex]units{2}[/tex]
Jeff purchased 5 items at the same price and 1 item for $2.95. What was the individual price of the 5 items if Jeff's total was $18.90 before tax? a. $3.19 b. $2.95 c.$4.37 d. $15.95
Answer:
3.19
Step-by-step explanation:
how do you find the equation of a linear model when given the graph but not the equation
We want to see how to find a linear equation by only looking at the line graph.
First, a general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope of that line is given by:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Then the line is something like:
[tex]y = (\frac{y_2 - y_1}{x_2 - x_1})*x + b[/tex]
To get the value of b, we use the fact that if the function passes through (x₁, y₁), it means that when x = x₁ we also must have y = y₁, replacing that in the equation we get:
[tex]y_1 = (\frac{y_2 - y_1}{x_2 - x_1})*x_1 + b\\\\y_1 - (\frac{y_2 - y_1}{x_2 - x_1})*x_1 = b[/tex]
Then the linear equation is:
[tex]y = (\frac{y_2 - y_1}{x_2 - x_1})*x + y_1 - (\frac{y_2 - y_1}{x_2 - x_1})*x_1[/tex]
So what we need to do is just look at the graph and find two points, then you can use the above guide to find the linear equation.
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Which property changes when a figure is translated
Can someone help me with number 33 please
the measure of an angle is 34 degrees what is the measure of its supplement
The measure of the supplement angle is 146 degrees.
What are supplementary angles?The supplementary angles is defined as when pair of angles addition to 180° then they are called as supplementary angles. There are two types of supplementary angles.
What are Adjacent angles?Adjacent angles is the type of supplementary angles. Adjacent angles have a common side and vertex, for example a corner point. Their points do not overlap in any way. In other terms, adjacent angles is pair of two angles next to each other
Given that the measure of an angle is 34 degrees
Let x = the measure of the supplement angle.
Two angles whose sum is 180 degrees are supplementary.
∴ x + 34 = 180
Then, (180 -34 ) is the supplement of that angle.
The measure of the supplement angle = 146 degrees
Hence, the measure of the supplement angle is 146 degrees.
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I'll give brainliest if you show your work. Plz answer quickly in less than 45 minutes.
Which two points should the line of best fit go through to best represent the data in the scatterplot?
(1, 16) and (2, 15)
(1, 16) and (6, 1)
(2, 15) and (4, 9)
(5, 8) and (6, 1)
Answer:
2,15 and 4,9
Step-by-step explanation:
this is because these two points are in between the other two sets of points.
45 POINTS PLEASE HELP IT IS DUE TONIGHT THANK U I WILL MARK U BRAINLIEST
Mike's grandmother opened a savings account in Mike's name and deposited some money into the account. The account pays an annual simple interest rate of 9%. After 8 years, the interest earned on the account was $1,440. How much money did Mike's grandmother deposit in the account?
The high soccer team can have no more than 26 players. Write and solve an inequality to determine how many more players can make the team if the coach has already chosen 17 players
What geometric shape may describe a quadrilateral that has exactly two pairs of parallel sides and no right angles? (If you don’t know that don’t answer...otherwise I will report you from the system)
Find the area of each figure. Round to the nearest tenth if necessary
Some students were surveyed about how much time they spent playing video games last week and their overal test average.
Find the equation of the least-squares line.
Interpret the meaning of the slope.
Interpret the meaning of the y-intercept mathematically.
State the correlation coefficient. Describe any possible correlation for the data set. Use the correlation coefficient to support your answer.
Use the equation of the least-squares line from part a to predict the test average for someone who plays 5 hours of video games a week.
Multiply r2+7r+10/3 by 3r-30/ r2-5r-50
Plot the x- and y-intercepts to graph the equation. y=13x−1 .
PLEASE plot it on a graph PLEASE and i will get you brainly and 15 points
Answer:
Given the equation: [tex]y = \frac{1}{3}x -1[/tex] .....[1]
To find the intercepts:
x-intercepts states that the graph cross the x-axis.
Substitute the value of y = 0 in [1] to solve for x;
[tex]0 = \frac{1}{3}x-1[/tex]
Add 1 to both sides we get;
[tex]1 = \frac{1}{3}x[/tex]
Multiply both sides by 3 we get;
[tex]3 = x[/tex]
x-intercepts = (3, 0)
y-intercepts states that the graph cross the y-axis
Substitute the value x = 0 in [1] to solve for y;
[tex]y = \frac{1}{3}(0) -1[/tex]
Simplify:
y = -1
y-intercept = (0, -1)
Now, using these x- and y--intercepts points to graph the given equation [tex]y = \frac{1}{3}x -1[/tex] as shown below.