The program to find the divisible values gives the number of multiples of 2 between 3 and 8 inclusive is 3
To check if an integer is divisible by x, you could divide it by x and check if the remainder is 0.
If the remainder is 0, then the integer is divisible by x and therefore is a multiple of x.
We can use this concept to find the number of multiples of x between low and high inclusive.
If low is 3, high is 8, and x is 2, then we can check if each number between 3 and 8 is divisible by 2.
3 is not divisible by 2, so it is not a multiple of 2.
4, however, is divisible by 2, so it is a multiple of 2.
5 is not divisible by 2, so it is not a multiple of 2.
6, however, is divisible by 2, so it is a multiple of 2.
Then 7 is not divisible by 2, so it is not a multiple of 2. 8 is divisible by 2, so it is a multiple of 2.
Therefore, the number of multiples of 2 between 3 and 8 inclusive is 3 (4, 6, and 8).
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I need help not good with story problems
Answer: 62,000
2,000+4,000+8,000+16,000+32,000
d.
X
-2
-1
0
1
2
f(x)
-17
-12
-7
-2
3
Type of function:
Nature of change:
Recursive equation
Explicit equation
Answer:
integers . whole number and nutural number
One common system for computing a grade point average (GPA) assigns 4 points to an A, 3 points to a B, 2 points to a C, 1 point to a D, and 0 points to an F. What is the GPA of a student who gets an A in a 3-credit course, a B in each of two 2-credit courses, a C in a 4-credit course, and a D in a 3-credit course?
Answer:
Step-by-step explanation:
2517.02
Find Monthly Payment on a Loan
Mila's monthly mortgage payment would be approximately $4,658.99.
Describe Interest?In finance, interest refers to the cost of borrowing money or the return earned on an investment. It is usually expressed as a percentage of the amount borrowed or invested and is typically calculated on an annual basis.
For borrowing money, interest is the cost that the borrower has to pay to the lender for the privilege of using their funds. The lender earns interest on the loan as compensation for lending their money to the borrower. The interest rate on a loan is determined by a variety of factors, including the borrower's creditworthiness, the term of the loan, and prevailing market conditions.
For investments, interest is the return earned by an investor on their principal amount. For example, when someone deposits money in a savings account, they earn interest on that money. The interest rate on savings accounts and other investments is typically determined by the prevailing market conditions and the financial institution offering the investment.
Interest can be calculated in different ways, including simple interest and compound interest. Simple interest is calculated on the original principal amount, while compound interest is calculated on the principal amount plus any accumulated interest. The frequency at which interest is compounded, such as monthly or annually, can have a significant impact on the total amount of interest earned or paid.
Overall, interest plays a critical role in finance and can have a significant impact on the cost of borrowing money or the return earned on an investment.
To calculate Mila's monthly mortgage payment, we can use the formula for a fixed-rate mortgage:
M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)
where:
M = monthly mortgage payment
P = loan amount
r = monthly interest rate
n = number of payments (total number of years * 12)
Plugging in the given values, we get:
M = 730000 * (0.00325 * (1 + 0.00325)^(2012)) / ((1 + 0.00325)^(2012) - 1)
Simplifying this expression using a calculator, we get:
M ≈ $4,658.99
Therefore, Mila's monthly mortgage payment would be approximately $4,658.99.
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Find the slope of the line segment shown.
A) -1/2
B) -1
C) 1/2
D) 1
The slope of the line segment is -1/2 . Option A is correct.
What is slope ?
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
The slope is the "rise over run" between any two points on the line.
Count out how much "up or down" vs "left or right" to find the slope:
We go up 5 and right 5, giving us the fraction
Thus , slope is given by -5 /10 = -1 /2
When counting, up and right are counted as positive; left and down are counted as negative.
Hence , the slope of the line segment is -1/2 . Option A is correct.
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Ryan pays a deposit for the sofa then pays the rest of the cost in 24 equal payments of
£112.50
b) How much was the deposit?
Answer:
£2,700
Step-by-step explanation:
Ryan pays a deposit for the sofa then pays the rest of the cost in 24 equal payments of £112.50 b) How much was the deposit?
If Ryan paid the rest of the cost in 24 equal payments of £112.50, then the deposit would have been the total cost minus the total amount of the 24 payments, which is £2,700. Therefore, the deposit was £2,700.
Miles is throwing three darts at the board shown below. His score is the sum of all three darts. How many different possible total scores could Miles get with three darts?
A) 450
B) 46
C) 12
D) 10
450, 46, 12
46, 12, 10
450, 10, 12
46,450,10
Step-by-step explanation:
The mixture of any three would be the possibilities
450, 46, 12
46, 12, 10
450, 10, 12
46,450,10
The mean number of tornado events in the state of Ohio is 19 per year. Assume that the number of
tornadoes follows a Poisson distribution.
Find the probability that there will be 10 tornadoes in Ohio in a given year.
Round your answer to 3 decimal places.
0.001
O 0.009
O 0.034
O 0.312
O 0.111
Answer:
Step-by-step explanation:
Sure, I can provide a step-by-step solution to find the probability of observing 10 tornadoes in Ohio in a given year using the Poisson distribution.
Given information:
Mean number of tornado events in Ohio = 19 per year.
Number of tornadoes follows a Poisson distribution.
To find:
Probability of observing 10 tornadoes in Ohio in a given year.
Solution:
We can use the Poisson probability formula, which is given as:
P(X = k) = (e^(-λ) * λ^k) / k!
where X is the random variable representing the number of tornadoes in a year, λ is the mean number of tornadoes in a year, k is the number of tornadoes we want to find the probability for, and k! is the factorial of k.
Substituting the given values, we get:
P(X = 10) = (e^(-19) * 19^10) / 10!
Now, we can simplify this expression by calculating the values of e^(-19) and 10!.
e^(-19) ≈ 0.0000000000000000008352702118 (using a calculator)
10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800
Substituting these values, we get:
P(X = 10) = (0.0000000000000000008352702118 * 19^10) / 3,628,800
Now, we can simplify this expression by multiplying 0.0000000000000000008352702118 and 19^10 and then dividing by 3,628,800.
Multiplying 0.0000000000000000008352702118 and 19^10, we get:
0.0000000176218972
Dividing this by 3,628,800, we get:
P(X = 10) ≈ 0.009
Rounding this to 3 decimal places, we get:
P(X = 10) = 0.009
Therefore, the probability of observing 10 tornadoes in Ohio in a given year is approximately 0.009.
If p - r = 11 and q - r = -5, what is the value of p - q? -16 -6 6 16
The value of the expression P-q will be 16. The correct option is C.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
To find the value of p - q, we need to eliminate r from the two equations given to us.
We can do this by solving for r in one of the equations and then substituting that expression into the other equation.
Let's solve for r in the equation p - r = 11:
r = p - 11
Now we can substitute this expression for r into the equation q - r = -5:
q - (p - 11) = -5
Simplifying this equation by distributing the negative sign, we get:
q - p + 11 = -5
Subtracting 11 from both sides, we get:
q - p = -16
Therefore, p - q = -(q - p) = -(-16) = 16.
So the answer is 16.
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stop to think 7.3 boxes a and b are sliding to the right across a frictionless table. the hand h is slowing them down. the mass of a is larger than the mass of b. rank in order, from largest to smallest, the horizontal forces on a, b, and h.
Since the boxes are sliding to the right at a constant velocity, the net force acting on each box is zero.
What is equation?An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The LHS and RHS contain mathematical expressions that can include variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and logarithms. Equations are used in many areas of mathematics and science to describe relationships between variables and to solve problems. They can be linear or nonlinear, simple or complex, and may involve one or more variables. The process of finding the values of variables that make an equation true is called solving the equation.
Here,
Therefore, the forces on each box must balance out. Let's consider the forces acting on each box:
Box A: Since it has a larger mass, it requires a larger force to slow down. Therefore, the force exerted by hand H on box A must be larger than the force exerted on box B. We can rank the forces on box A, box B, and hand H as follows:
Force exerted by hand H on box A (largest force)
Force exerted by hand H on box B
Force exerted by box A on hand H
Force exerted by box B on hand H
Force exerted by box A on box B (smallest force)
Box B: Since it has a smaller mass, it requires a smaller force to slow down. Therefore, the force exerted by hand H on box B must be smaller than the force exerted on box A.
Hand H: The forces exerted by box A and box B on hand H are equal and opposite (Newton's third law). Therefore, they cancel each other out and the net force on hand H is zero.
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LAST QUESTION I NEED HELPPPPPP Following the accounting cycle, what would an accountant do right after making an adjusted trial balance?
A. make a worksheet
B. make a trial balance
C. adjust entries
D. close the entries
Answer:
A
Step-by-step explanation:
Following the accounting cycle, an accountant would make a worksheet right after making an adjusted trial balance. The worksheet is a tool used by accountants to prepare financial statements and to adjust entries. The worksheet summarizes the data in the trial balance and makes it easier for the accountant to prepare the financial statements. The worksheet includes adjustments for accruals, prepayments, depreciation, and other items that were not recorded in the original journal entries. Once the worksheet is complete and the financial statements have been prepared, the accountant would then close the entries to start a new accounting cycle. Therefore, the correct answer is A. make a worksheet.
HELLLLP I NEED THIS ANSWERED ASAP
Answer:
Step-by-step explanation:
3f(x) stretches the graph of the function by a factor of 3 since it is being multiplied to f(x) and 3 is greater than one.
f(x+3) shifts the graph of the function 3 units to the left since 3 equals h in the equation: f(x-h), so you switch the sign and it becomes negative thus moving left.
f(3x) compresses the graph by a factor of 1/3 since it is inside the parenthesis.
f(x) + 3 shifts the graph of the function up by 3 units since it is being added to f(x).
25. In a company, 40% of the employees are women. The ratio of the number of single women to the number of married women is 2:5. If there are 30 married women how many employees are there in this company?
(Only accurate answers)
Answer:
Step-by-step explanation:
Let's start by finding the total number of women in the company. We know that 40% of the employees are women, so if we let x be the total number of employees, we can write:
Number of women = 40% of x = 0.4x
Let's then use the given ratio to determine the number of single women in the company. If the ratio of single women to married women is 2:5, we can write:
Number of single women = (2/7) * Number of women = (2/7) * 0.4x = 0.114x
We are also given that there are 30 married women. Since the total number of women is 0.4x, we can write:
Number of married women = 30
0.6x = 30
x = 50
Therefore, there are a total of 50 employees in this company.
I really need help on this question pls do part a on a graph and can u pls do part b thx.
Answer: When y=1, x=[tex]\frac{1}{2}[/tex]
It will be a point with the coordinates ([tex]\frac{1}{2}[/tex], 1)
Step-by-step explanation:
- Start plotting points from the y-intercept, in this case, -1.
- Since the function is written in the form y=mx+b, where the slope is b which is in this case 4. Meaning to say that from the y-intercept -1 you have to go 4 units up and 1 unit right.
- Continue plotting 2 or 3 points, then connect them with a straight line.
- For the value of x when y=1, we can substitute y with 1 and solve the equation for x.
1=4x-1 (Add 1 to both sides)
2=4x (Divide by 4)
[tex]\frac{1}{2}[/tex]=x Write the solution.
38.8% of Canada's population lives in Ontario. The population of Ontario is 12.9 million. What is the population of Canada?
let the total population be x
Step-by-step explanation:
38.8%of x=12,900,000
x=12,900,000*100/38.8
x=12,900,000*100*10/388
x=33,247,422.680412One number exceeds another by 1. The sum of the numbers is 25. What are the numbers?
Let's call the smaller number "x". Since the larger number exceeds the smaller number by 1, we can call the larger number "x + 1".
The problem tells us that the sum of the numbers is 25, so we can set up an equation:
x + (x + 1) = 25
Simplifying and solving for x:
2x + 1 = 25
2x = 24
x = 12
So the smaller number is 12. To find the larger number, we can use x + 1:
x + 1 = 12 + 1 = 13
So the larger number is 13.
Therefore, the two numbers are 12 and 13.
HELPPPPP
i need help quick
By using the substitution method, the value of x is equal to -1 and the value of y is equal to 1.
How to solve this system of equations?In order to solve the given system of equations, we would apply the substitution method. From the information provided in the image attached above, we have the following system of equations:
2x - 3y = -5 .......equation 1.
3x + y = -2 .......equation 2.
From equation 2, we have:
y = -3x - 2
By using the substitution method to substitute equation 3 into equation 1, we have the following:
2x - 3(-3x - 2) = -5
2x + 9x + 6 = -5
11x = -5 - 6
x = -11/11
x = -1
For the value of y, we have:
y = -3x - 2
y = -3(-1) - 2
y = 1.
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which data set could be represented by the box plot shown below?
The data set (B) could be represented by the shown box plot.
What is the box and whisker plot?A box and whisker plot (also known as a box plot) expresses a five-number summary of a set of data: lowest, lower quartile, median, upper quartile, and maximum.
The box plot is given in the question as shown, as per the data :
Minimum = 41
First quartile Q1 = 43
Median = 44
Third quartile Q3 = 48
Maximum = 50
According to set (B), we have:
41, 42, 43, 43, 43, 45, 47, 48, 50, 50
Here, Minimum = 41
First quartile Q1 = 43
Median = (43+45/2) = 44
Third quartile Q3 = 48
Maximum = 50
Therefore, the data set (B) could be represented by the shown box plot.
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please help me with tgis
The value of x is 11. 18
The value of y is 8. 67
How to determine the valueUsing the Pythagorean theorem, we have that;
x² = y² + z²
Substitute the values, we get;
x² = 10² + 5²
find the squares
x² = 100 + 125
Add the values
x² = 125
Find the square root
x = 11. 18
Using the Pythagorean theorem, we have;
y² = 9² - (√6)²
Find the squares
y² = 81 - 6
substract the values
y² = 75
Make 'y' the subject
y = 8. 67
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Write an equation for line L in point-slope form and slope-intercept form.
L is perpendicular to y=5x
Answer:
y = (-1/5)x + b
Step-by-step explanation:
The given line is y = 5x. To find a line perpendicular to it, we need to use the fact that the slopes of perpendicular lines are negative reciprocals of each other.
The slope of the given line y = 5x is 5, so the slope of the line perpendicular to it is -1/5.
Let (x1, y1) be any point on the line L. Then the point-slope form of the equation of L is:
y - y1 = m(x - x1)
where m is the slope of the line, which in this case is -1/5.
So the equation of line L in point-slope form is:
y - y1 = (-1/5)(x - x1)
To find the equation of line L in slope-intercept form, we need to solve the point-slope equation for y. First, we can simplify the equation to:
y = (-1/5)x + (1/5)x1 + y1
This equation can be rearranged to the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. In this case:
m = -1/5
b = (1/5)x1 + y1
Therefore, the equation of line L in slope-intercept form is:
y = (-1/5)x + b, where b = (1/5)x1 + y1.
A train travels 75 miles in 1/2 hour. How many miles does the train travel in 8 hours?
Answer:
Step-by-step explanation:
75 x 2 = 150mph
150 x 8 = 1200 miles
The train will travel 1200 miles in 8 hours.
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance traveled by time. The unit of speed in miles per hour.
If the train travels 75 miles in 1/2 hour, we can use this information to find the train's speed:
Speed = Distance/Time
Speed = 75 miles / 0.5 hour
Speed = 150 miles/hour
Now that we know the speed of the train, we can use it to find how many miles the train will travel in 8 hours:
Distance = Speed x Time
Distance = 150 miles/hour x 8 hours
Distance = 1200 miles
Therefore, the train will travel 1200 miles in 8 hours.
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Jack and Glen share a 30-ounce box of cereal. By the end of the week, Jack has eaten
1
10
of the box, and Glen has eaten
2
5
of the box of cereal. How many ounces are left in the box?
Answer:
15 oz
Step-by-step explanation:
1/10 of 30 = 30/10 = 3 oz
2/5 of 30 = 30 * 2/5 = 60/5 = 12 oz
add those up to get 3 + 12 = 15 oz eaten
there are thus 30-15 = 15 oz left in the box
identify the dependant clause in the following sentence: i will put away my winter clothes and store the blankets in the upstairs closet when i no longer have to turn ob the furnace every day.
The dependent clause in the sentence is: "when I no longer have to turn on the furnace every day."
How to determine the dependent clauseThe sentence has two parts: the first part is an independent clause, which can stand alone as a complete sentence:
"I will put away my winter clothes and store the blankets in the upstairs closet."
The second part is a dependent clause, which cannot stand alone as a complete sentence, and it starts with the subordinating conjunction "when."
The dependent clause provides additional information on when the action of putting away winter clothes and storing blankets will happen, and it depends on the independent clause to make sense.
Hence, "when I no longer have to turn on the furnace every day" is the dependent clause.
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Susan Marciano invested part of her $19000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered a %4 loss. Find the amount of each investment if her overall net profit was $520
Answer: $18,000 was invested at 11% profit
$15,000 was invested at 3% loss
Step-by-step explanation:
11x - .03 x (33000-x)=1530
11 x 18000- .03 x (33000 - 18000) =1530
1980-.03 x 15000 = 1530
1980 - 450 = 1530
1530 = 1530
Which list orders from least t greatest? -5, 1, 3, -2
A. 1 , -2, 3, -5
B. -2, -5, 1, 3
C. -5, -2, 1, 3
D. 3, 1, -2, -5
PLS HELP ME!!!!!!!!
What is the diameter of the
circle?
C = 7.6 m
Answer:
2.42
Step-by-step explanation:
To find the diameter divide by 3.14 or pi. That equals 2.42038216561 but 2.42 is the rounded answer (if you are rounding to the hundredths place)
graph the function plsss
What is the cosine equation of the function shown?
Enter your answer by filling in the boxes. Enter any phase shift as its smallest multiple from the fundamental period.
f(x)= __cos(x__)__
The cosine equation of the function is y = 5cos (x + π/4) + (4).
What is the cosine function?
The right-angled triangle's angle and the ratio of its two side lengths are related by the trigonometric functions, which are actual functions. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
Here, we have
y = A cos (Bx - C) + D
A (amplitude) = max - D
B = Period/2π ---> Period is the distance from max to next max
C = B · Phase Shift ---> Phase shift is the distance from the y-axis to the max
D (vertical shift) = (max + min)/2
Maximum = 9, minimum = -1
A = (maximum-minimum)/2 = (9 - -1)/2 = 10/2 = 5
Vertical shift = maximum - A = 9 - 5 = 4
The maximum occurs at x = -π/4, and
for the original function (without shift), the maximum occurs at x = 0
So, the horizontal shift = 0 - (-π/4) = π/4
Hence, the cosine equation of the function is y = 5cos (x + π/4) + (4).
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Vocab
Vocabulary Check
Fill in each blank with the correct word(s) to complete each sentence.
6. Multiples that are shared by two or more numbers are
obc
ultiple other thar
Answer:
Common Multiple for #6
Step-by-step explanation:
Not sure if that's what you meant but hope this helps
Which statement correctly expresses a distinction between probability distributions and frequency distributions?
Answer:
Step-by-step explanation:
A frequency distribution is a table or graph that displays the number of times each value or range of values occurs in a dataset, while a probability distribution is a function that describes the likelihood of each possible outcome of a random variable in terms of its probability.
In other words, a frequency distribution describes the actual frequencies or counts of the values in a dataset, while a probability distribution describes the theoretical probabilities of the outcomes of a random variable. Frequency distributions are typically used in descriptive statistics, while probability distributions are used in inferential statistics to make predictions and test hypotheses.
