Step-by-step explanation:
Since,
1 inch=2.5 cm
Therefore,
5.2 inches=2.5×5.2 cm=13 cm
I hope it helped U
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Answer:
1inc=2.5cm 5.2inches=?5.2×2.552/10 × 25/10when u reduce u get260/20 answer is13cmwhat is 676 divided by 13. I need help on this answer like really bad :(
Answer:
52
Step-by-step explanation:
676 divided by 13
676 ÷ 13 = 52
Shown below
Answer:
676 divided by 13 is 52
Step-by-step explanation:
55 POINTS QUICK PLS Your friend is able to invest $120 a month in a 401(k) with a predicted growth rate of 3%. Your friend's company will match 50% of your friend's contributions.
a. The monthly contribution from a friend's company is $120 minus 0.5, or $60.
b. The total monthly contribution to the fund is $180.
The computation of FV in Excel is shown in the attachment below:
What is meant by growth rate?Using the current number as a starting point, subtract the prior value to determine the growth rate. To calculate the growth rate in percentage terms, divide the difference by the previous amount and multiply the result by 100. Growth Rate equals (Ending Value - Beginning Value) - 1. The year-over-year (YoY) growth rate of a business, for instance, would be 20% if its revenue increased from $100 million in 2020 to $120 million in 2021.
GDP, turnover, wages, etc., all have growth rates that reflect how much they have changed over time (month, quarter, year). Percentages are a pretty common way to communicate it.
20 years is the age.
20 times 12 periods equals 240.
3% growth rate
The computation of FV in Excel is shown in the attachment below:
So, FV= $7,223,115.77
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Which of the following equations will produce the graph shown below
Answer:
the answer is c.
Step-by-step explanation:
because it is.
Was is a macroeconomics
Answer:
Macroeconomics is a study that deals with the whole economy and everything pertaining to it.
Step-by-step explanation:
when we talk about Macroeconomics, we mean the whole economy. It can be related to a country's import or export, governance, how resources are accurately allocated to people in the country and the like.
ill mark brainlist plss help
Answer:
MARK HIM BRAINLIEST
Step-by-step explanation:
3. Elaine rents a car for 5 days. It costs $44
each day to rent the car and $7 each day
for insurance. At the end of the trip she
spends $35 to fill the car with gas. What is
the total cost for Elaine to use the car?
Answer:
290 dollars
Step-by-step explanation:
$44(to rent the car) x 5 = $220
$7( for insurance) x 5 = $35
35$ for gas
Add all those prices up:
220 + 35 + 35= 290
I hope this helps...
An automobile travels 415 miles on 16 2/3 gallons of gasoline.
a) How many miles per gallon does the car get on the trip? (Enter your answer as a simplified mixed number.)
b) How many gallons would be required for the car to travel 498 miles?
Factor 4x2 + 4x + 1.
Answer:
(2x+1)²= (2x+1)(2x+1)
Step-by-step explanation:
(2x)²+2×2x×1+1²=(2x+1)²
Kylie and miranda began arguing about who did better on their tests, but they couln't decide who did better given that they took different tests, kylie took a test in Art History and earned a 77.3, and Tan took a test in English and earned a 62.9. Use the fact that all the students' test grades in the Art History class had a mean of 73 and a standard deviation of 10.7, and all the students' test grades in English had a mean of 66.8 and a standard deviation of 10.8 to answer the following questions.
a) Calculate the Z-score for Isaac's test grade.
b) Calculate the 2-score for lan's test grade.
c) Which person did relatively better?
A. Kylie
B. miranda
C. They did equally well.
Answer:
a) 77.3-73/10.7= 0.40187
b) 62.9-66.8/10.8= -0.36111
c) Kylie did relatively better
Step-by-step explanation:
find the slope and y-intercept.
The slope and the y-intercept of the line y = 4x + 5 are given as follows:
Slope of 4.y-intercept of 4.How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.The function for this problem is given as follows:
y = 4x + 5.
Hence the slope and the intercept are given as follows:
m = 4.b = 5.Missing InformationThe problem asks for the slope and the intercept of y = 4x + 5.
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What is -9 as a fraction?
Answer:
\(-\frac{9}{1}\)
Step-by-step explanation:
Its just the same way as making positive 9
a fraction, but just add the negative sign.
Hope this helps :))
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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Someone help me please and thank you
Answer: 2a < 2b
Step-by-step explanation:
We are given a statement:
a < b and b < c, then 2a ____ 2b
We can use simple numbers that make the statement true.
Where,
a = 2
b = 3
c = 4
Now lets plug it in.
2 < 3 and 3 < 4, then 2(2) ____ 2(3)
and lets simplify:
2 < 3 and 3 < 4, then 4 ____ 6
We can see that 4 is less than 6,
so as a is less than b, 2a is less than 2b.
The only thing changing is the coefficient being multiplied by the variables a and b.
Write an equation to match the graph
Answer:
\(y=-|x+1|+1\)
Step-by-step explanation:
Parent function: \(y=|x|\)
Reflected in the x-axis: \(y=-|x|\)
Translated 1 unit to the left: \(y=-|x+1|\)
Translated 1 unit up: \(y=-|x+1|+1\)
Sharon wants to distribute 56 stickers evenly between 8 students. How many stickers should she give to each student?
Answer:
7 stickers to each student.Step-by-step explanation:
Sharon has 56 stickers.
Sharon distributes evenly between 8 students.
Given equation:
56 ÷ 8Solve:
56 ÷ 8= 7.Sharon gives 7 stickers to each student.
The sides of triangle have lengths 6, 7, and 10. What type of triangle is it?
Answer:
Obtuse triangle
Step-by-step explanation:
\(10^{2} > 6^2 + 7^2\)
Answer:
Acute triangle
Step-by-step explanation:
calculate the mean deviation of the following numbers 8,5,7,10,3,4,31,12.
Answer:
5.75.
Step-by-step explanation:
The mean = (8+5+7+10+3+4+31+12)/ 8
= 80/8
= 10.
Now we calculate the difference of each value from the mean We take the absolute ( positive) differences
10 - 8 = 2
10 - 5 = 5
10 - 7 = 3
10 - 10 = 0
10-3 = 7
10 = 4 = 6
10 - 31 = 21
10 - 12 = 2
Sum of the differences = 46
and the mean deviation is 46/8 = 5.75.
Question 5
What is the area of the trapezoid in square units if h = 3, b1 = 3 and b2 = 4?
=
Answer: 10 1/2 units squared
Step-by-step explanation:
Area= a+b/2 x h
a= 3
b= 4
h= 3
3+4/2 x 3
7/2 x 3
21/2= 10 1/2
explain 3 factors that should be considered in the construction of index numbers
1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.
2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.
3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`
construction of index number is also available in two parts:
1. simple
2. weighted
1. simple: the simple method is classified into simple aggregative and simple relative.
2. weighted: the weighted method is classified into a weighted aggregative and weighted average.
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consider a cubic polynomial function g(x) with solutions x = 3 and x =2 -i. what statement must be true?
x = 3 would be your answer
because i have no clue just thanks and five stars please
Find the height of the polygon
Select the correct answer. Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel's savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin's account, at the same time, is modeled by function k. j(x) = 25 + 3x k(x) = 15 + 2x Which function correctly represents how much more money, in dollars, is in Joel's account than in Kevin's account x weeks after the start of the year? O A. (j − k)(x) = 40 + 5x (j − k)(x) = 40 + x (j-k)(x) = 10 + 5x (j-k)(x) = 10 + x O B. C. O D. Reset dtry Next
The correct answer is (j - k)(x) = 10 + x.
To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).
(j - k)(x) = (25 + 3x) - (15 + 2x)
= 25 - 15 + 3x - 2x
= 10 + x
This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.
Therefore, the correct function is (j - k)(x) = 10 + x.
for such more question on Kevin's account
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The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.
This function written in vertex form include the following: A. f(x) = (x –1)² – 7.
How to determine the axis of symmetry and vertex of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function f(x) = x² – 2x – 6, we have:
a = 1, b = -2, and c = -6
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(-2)/2(1)
Axis of symmetry, Xmax = 2/2
Axis of symmetry, Xmax = 1.
Next, we would determine vertex as follows;
f(x) = x² – 2x – 6
f(x) = 1² – 2(1) – 6
f(x) = -7.
Now, we can write quadratic function in vertex form;
f(x) = a(x - h)² + k
f(x) = (x - 1)² - 7
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Complete Question:
The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.
What is this function written in vertex form?
f(x) = (x –1)² – 7
f(x) = (x +1)² – 7
f(x) = (x –1)² – 5
f(x) = (x +1)² – 5
your goal is to generate a simple math quiz with a number of equations that will be determined by the user. you will prompt the user for an answer to each equation and display whether they answered it correctly or incorrectly. at the end of the math quiz, you will display the number of total equations that they answered correct out of how many were given
The statement of the problem has already made a lot of decisions for us. We are told to use three global variables of type int[]. The variables must be static, and I have chosen to make them private, so the declarations become:
private static int[] firstNumbers; // The first numbers in all ten questions.
private static int[] secondNumbers; // The second numbers in all ten questions.
private static int[] user answers; // The user's answers to the ten questions.
Note that these declarations are not in any subroutine. These statements only create variables, not arrays. We still need to create three arrays of length 10. The arrays can be created using the new operator. This initialization could in fact be combined with the declaration of the variables:
private static int[] firstNumbers = new int[10];
private static int[] secondNumbers = new int[10];
private static int[] userAnswers = new int[10];
Another possibility would be to create the three arrays at the beginning of the main() routine. In fact, I chose to create them in the subroutines where they are first used.
The program has three stages -- create the problems, administer the quiz, and grade the quiz -- and we are told to write a subroutine to do each stage. The main program simply has to call the subroutines:
public static void main(String[] args) {
createQuiz();
administerQuiz();
gradeQuiz();
}
This is an example of using subroutines to break up a large task into several simpler subtasks, so that programming each subtask becomes a separate problem. The subroutines are short and not too hard to write. Looking at administerQuiz() as an example, note that the user's answers have to be stored in the array, the user answers so that they can be used when grading the quiz. I create the array itself before asking any questions and then store the user's responses in the array as they are read by the user. On the other hand, the arrays that hold the numbers that occur in the questions have already been created and filled before administerQuiz() is called. Here's the subroutine:
private static void administerQuiz() {
userAnswers = new int[10];
for (int i = 0; i < 10; i++) {
int questionNum = i + 1;
System.out.printf("Question %2d: What is %2d + %2d ? ",
questionNum, firstNumbers[i], secondNumbers[i]);
userAnswers[i] = TextIO.getlnInt();
}
}
A couple notes about the output: I wanted to number the questions 1, 2, ..., 10, but the elements of the arrays are numbered 0, 1, ..., 9. This means that the question number that I output has to be one more than the array index. Also, all the numbers that occur in my program are either one or two digits. By allowing exactly two digits for each number in the output, I can get everything to line up neatly. Here's the I/O for a sample run of the program:
Welcome to the addition quiz!
Question 1: What is 40 + 14 ? 54
Question 2: What is 18 + 38 ? 46
Question 3: What is 21 + 31 ? 52
Question 4: What is 18 + 36 ? 54
Question 5: What is 43 + 12 ? 55
Question 6: What is 21 + 17 ? 38
Question 7: What is 33 + 25 ? 58
Question 8: What is 39 + 21 ? 70
Question 9: What is 1 + 25 ? 26
Question 10: What is 39 + 26 ? 65
Here are the correct answers:
Question 1: 40 + 14 = 54. You were CORRECT.
Question 2: 18 + 38 = 56. You said 46, which is INCORRECT.
Question 3: 21 + 31 = 52. You were CORRECT.
Question 4: 18 + 36 = 54. You were CORRECT.
Question 5: 43 + 12 = 55. You were CORRECT.
Question 6: 21 + 17 = 38. You were CORRECT.
Question 7: 33 + 25 = 58. You were CORRECT.
Question 8: 39 + 21 = 60. You said 70, which is INCORRECT.
Question 9: 1 + 25 = 26. You were CORRECT.
Question 10: 39 + 26 = 65. You were CORRECT.
You got 8 questions correct.
Your grade on the quiz is 80.
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Two people start from the same point. One walks east at 4 mi/h and the other walks northeast at 8 mi/h. How fast is the distance between the people changing after 15 minutes?
Answer:
5.89 mi/h
Step-by-step explanation:
This problem can be solved by using different methods. I will use vectors since it's the simplest way in which we can solve it. This can be solved by using related rates of change though.
First, we start by drawing a diagram with the velocity vectors.
A= velocity of the first person
B= velocity of the second person
C= velocity in which they are moving away from each other.
Since there is no acceleration in the problem, we can suppose we are talking about constant speeds, so the velocity at which they are moving away from each other will always remain constant. (It doesn't matter what time it is, the velocity will always be the same)
Having said this we can solve this problem by using the components, by using law of cosines or graphically. I will use law of cosines. The idea is to find the length of side c.
Law of cosines:
\(C^{2}=A^{2}+B^{2}-2ABcos \gamma\)
so we can solve the formula for C so we get:
\(C=\sqrt{A^{2}+B^{2}-2ABcos \gamma}\)
and now we can substitute the values we know:
\(C=\sqrt{(4)^{2}+(8)^{2}-2(4)(8)cos 45^{o}}\)
\(C=\sqrt{16+64-32\sqrt{2}}\)
\(C=\sqrt{80-32\sqrt{2}} mph\)
if we want an exact answer, then that will be the exact answer, which approximates to:
C=5.89 mph
suface area of cuboid 9 5 4
The cuboid in question has a surface area of 202 square units.
We must sum together the areas of all six faces to determine a cuboid's surface area.
The dimensions of the given cuboid are:
length (l) = 9 units
width (w) = 5 units
height (h) = 4 units
The area of each face is given by:
Top and bottom faces:\(lw = 9 * 5 = 45\) square units each
Front and back faces: \(lh = 9 *4 = 36\) square units each
Left and right faces: \(wh = 5 * 4 = 20\) square units each
Therefore, the total surface area of the cuboid is:
\(2(lw + lh + wh) = 2(45 + 36 + 20)\\ = 2(101) \\= 202 \ square \ units\)
Hence, the surface area of the given cuboid is 202 square units.
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Which expression is equivalent to 24³ ?
2√3
2³√3
2√6
2³√6
Answer:
\(2 \sqrt[3]{3} \)
Step-by-step explanation:
\(24 {}^{ \frac{1}{3} } \)
\( \sqrt[3]{24} \)
\( \sqrt[3]{8 \times 3} \)
\( \sqrt[3]{8} \times \sqrt[3]{3} \)
\( \sqrt[3]{2 {}^{3} } \times \sqrt[3]{3} \)
\(2 \times \sqrt[3]{3} \)
\(2 \sqrt[3]{3} \)
5. The cost of tuition at the public university that Mateo plans to attend is $9,600 for the first year. Mateo's parents will pay for one-third of the tuition. Mateo will use $1,500 from his savings to help pay for tuition. What is the minimum amount of money Mateo will need to save every month to reach his goal of paying off the remaining tuition cost at the end of 12 months? < PREVIOUS 1 0² 3 04 5 06
Mateo needs to save at least $408.33 every month to reach his goal of paying off the remaining tuition cost at the end of 12 months.
What is fixed expense and variable expense?Rent or a car payment are examples of monthly costs that are fixed expenses. On the other hand, a variable expense is one that can vary from month to month, like food or entertainment. Variable expenses demand greater flexibility in budgeting because the cost can change, but fixed expenses are often easier to prepare for because the amount is constant.
Given that, cost of tuition fee is $9,600 for the first year.
Now, Mateo's parents will pay for one-third of the tuition thus:
1/3 x $9,600 = $3,200
From the saving the money used is $1500 thus the remining cost is:
$9,600 - $3,200 - $1,500 = $4,900
For 12 months in a year we have:
$4,900 / 12 = $408.33
Hence, Mateo needs to save at least $408.33 every month to reach his goal of paying off the remaining tuition cost at the end of 12 months.
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The back wheel of a bicycle rotates 1 1/6 times with 1 1/4 rotations of the pedals. Write the ratio of back wheel rotations to pedal rotations in simplest form.
The ratio of back wheel rotations to pedal rotations in simplest form is 14/ 15
How to determine the ratioit is important to note that ratio also explains quotient between two values of objects
We have that:
Back wheel rotation is 1 1/ 6 = 7/6Pedals rotation is 1 1/4 = 5/ 4The ratio back wheel rotations to pedal rotations is given as
= back wheel rotation/ pedals rotation
= 7/ 6 ÷ 5/ 4
Take inverse of the divisor and multiply
= 7/ 6 × 4/ 5
= 28/ 30
Find common factor
= 14/ 15
Thus, the ratio of back wheel rotations to pedal rotations in simplest form is 14/ 15
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-1 19/50 as a decimal number, what is it?
Answer:-1.38
19/50=.38 in decimal form +(-1) = -1.38
Answer:
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