The provided remark indicates that option (A) is accurate for 2.5 inches.
What length of time is an example?The measurement or size of something to end to end is referred to as its length. To put it another way, it is the bigger of the upper two or three dimensions of a geometric form or object. For instance, the length and width of a parallelogram define its measurements.
Using the given equation:
Arc Length / 20π = 45/360
Cross multiply:
Arc length × 360 = 20π x 45
Arc length x 360 = 900π
Divide both sides by 360:
Arc length = 900π / 360
Arc Length = 2.5 π inches.
To know more about Length visit:
https://brainly.com/question/28322552
#SPJ1
Elmer invested $100 into a savings account that earns annual simple interest. At the end of 3 years, he earned $15 in interest. What is the interest rate on the savings account? Round to the nearest tenth of a percent.
Answer:
To find the interest rate, we can use the formula for simple interest:
I = Prt
Where:
I = Interest earned
P = Principal (initial investment)
r = Interest rate
t = Time
We are given that P = $100, t = 3 years, and I = $15. Substituting these values, we get:
15 = 100 * r * 3
Solving for r, we get:
r = 15 / (100 * 3) = 0.05
Therefore, the interest rate on the savings account is 5%.
If Planet I is 31.1 million miles farther from the sun than Planet II, then Planet III is 24.6 million miles farther from the sun than Planet I. When the total of the distances for these three planets from the sun is 197.8
million miles, how far away from the sun is Planet II?
After solving the equations e know that Planet II is 35 million miles away from the sun.
What are equations?The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions.
An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.
As in 3x + 5 = 15, for example.
There are many different types of equations, including linear, quadratic, cubic, and others.
The three primary forms of linear equations are point-slope, standard, and slope-intercept.
So, let x be the separation between planet I and the sun.
Planet II's distance from the sun is x-30.2.
Planet iii's distance from the sun is equal to x+24.8.
x + x-30.2 + x+24.8 = 190.2
Mix related phrases to find x.
3x - 5.4 = 190.2
3x = 195.6
x = 65.2
65.2 million miles separate planet I from the sun.
Planet II is 35 million miles from the sun or 65.2-30.2.
Planet iii is 90 million miles from the sun (65.2 + 24.8 = miles).
Therefore, after solving the equations e know that Planet II is 35 million miles away from the sun.
Know more about equations here:
brainly.com/question/2972832
#SPJ1
The figure below represents 17/36 of a full circle. Find the measure of the marked central angle.
The specified central angle is 170 degrees since the figure is 17/36 of a full circle.
A central angle is an angle with endpoints on the perimeter and a vertex in the centre of a circle. An arc is defined by the angle in the centre of a circle.
Since the figure represents 17/36 of a full circle, the central angle that it subtends is also equal to 17/36 of 360 degrees (the measure of a full circle).
We can calculate this as follows:
Central angle = (17/36) x 360 degrees
Central angle = 17 x 10 degrees
Central angle = 170 degrees
Therefore, the measure of the marked central angle is 170 degrees.
To learn more about the central angle, refer:-
https://brainly.com/question/15698342
#SPJ1
Answer:
170°Step-by-step explanation:
To find:-
The measure of the marked Central angle.Answer:-
As we know that the measure of complete angle about any point is 360° = 2π rad .
Also we are given that the given circle is 17/36 of full circle. So the angle substended too be will be equal to 17/36 of the complete angle.
So that , we have;
==> Angle = 17/36 * 360°
==> Angle = 170°
Hence the value of central angle is 170° .
Friend need help I ain’t doing all dat to solve
Answer:
1. is 10
2. is 4
3. is 2
?= is 2
I need help with my homework
The average rate of change representing the state whose temperature is decreasing slower is given as follows:
-1.5ºF/day.
How to obtain the average rate of change?The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.
For Maine, in 9 days, the temperature fell by 13.5ºF, hence the rate is given as follows:
-13.5/9 = -1.5ºF/day.
For Connecticut, in 2.5 days, the temperature fell by 6.25ºF, hence the rate is given as follows:
-6.25/2.5 = -2.25 ºF/day.
A slower decline is in Maine, as it has a lower rate of change.
More can be learned about the average rate of change of a function at brainly.com/question/11627203
#SPJ1
If f(x)=3x-5, g(x)=7x-3, find (f+g)(x) and (f-g)(x
Answer:
Step-by-step explanation: To find (f+g)(x), we simply add the two functions:
(f+g)(x) = f(x) + g(x)
= (3x - 5) + (7x - 3)
= 10x - 8
Therefore, (f+g)(x) = 10x - 8.
To find (f-g)(x), we subtract g(x) from f(x):
(f-g)(x) = f(x) - g(x)
= (3x - 5) - (7x - 3)
= -4x - 8
Therefore, (f-g)(x) = -4x - 8.
Let a and b be real numbers, where Which of the following functions could represent the graph on the right? f(x) = x (x – a)(x – b)2 f(x) = (x – a)(x – b)2 f(x) = x(x – a)³(x – b) f(x) = x2(x – a) 2(x – b)2
Answer:
Without a graph provided, it's difficult to determine which of the given functions represents the graph on the right. However, we can analyze each function to see if it has any characteristics that match the shape of the graph.
f(x) = x(x – a)(x – b)2
This function has one x-intercept at x = 0 and a double root at x = b. If b > a, then the function will have a local maximum at x = a and a local minimum at x = b. This function may represent a graph with a single x-intercept, a double root, and a local maximum and minimum.
f(x) = (x – a)(x – b)2
This function has one x-intercept at x = a and a triple root at x = b. If b > a, then the function will have a local minimum at x = a and a local maximum at x = b. This function may represent a graph with a single x-intercept, a triple root, and a local minimum and maximum.
f(x) = x(x – a)³(x – b)
This function has one x-intercept at x = 0 and a triple root at x = a. If a < b, then the function will have a local minimum at x = b. This function may represent a graph with a single x-intercept, a triple root, and a local minimum.
f(x) = x²(x – a)²(x – b)²
This function has two x-intercepts at x = 0 and x = a and a double root at x = b. If b > a, then the function will have a local maximum at x = a and a local minimum at x = b. This function may represent a graph with two x-intercepts, a double root, and a local minimum and maximum.
Based on these analyses, it's unclear which function represents the graph on the right, as all four functions have characteristics that could match the shape of the graph.
Answer:
It's A
Step-by-step explanation:
2023 edge
yw
Which table of values represents the linear function y=4x+1
The values represents the linear function are:
x y
0 1
1 5
2 9
3 13
4 17
What is linear function ?
A linear function is a mathematical function that can be represented by a straight line on a graph. It has the form of:
y = mx + b
where m is the slope of the line, which determines how steeply the line rises or falls, and b is the y-intercept, which is the point where the line crosses the y-axis.
According to the question:
The table of values that represents the linear function y=4x+1 is:
x y
0 1
1 5
2 9
3 13
4 17
To generate these values, we can substitute different values of x into the equation y=4x+1 and solve for y.
To know more about linear function visit:
https://brainly.com/question/29281420
#SPJ1
Q) which table of values represents the linear function y=4x+1 ?
Alen has read 60% of a book. He has 32 more pages to finish. How many pages are there in the book?
Alen has read 60% of a book in which there are 80 pages in the book.
What is total number?The term "total number" typically refers to the complete quantity or count of something. It can refer to the number of items in a set, the number of people in a population, the total sales of a company, or any other numerical quantity that represents a whole.
According to question:Let's say the total number of pages in the book is "x".
According to the problem, Alen has read 60% of the book, which means he has completed 0.6x pages.
He still has 32 more pages to finish, so the number of pages he has left to read is (x - 0.6x) = 0.4x.
We can set up an equation:
0.4x = 32
Solving for x:
x = 80
Therefore, there are 80 pages in the book.
To know more about total number visit:
https://brainly.com/question/28850076
#SPJ1
1pt equal how many mL
Answer:
1 American pt equals approximately 568.261 mL
OR
1 British Imperial pt is approximately 473 mL
I recommend choosing the answer that better relates to where you are from.
Step-by-step explanation:
There seem to be TWO kinds of pint sizes. A US pint is 16 ounces and an Imperial pint is 20 ounces.
I’ll give branniest for the correct answer
Two skaters are practicing at the same time on the same rink. A coordinate grid is superimposed on the ice. One skater follows
the path y = - 3x + 8, while the other skater follows the curve y= - 2x^2 + 7x. Find all the points where they might collide if they
are not careful.
Answer: To find the points where the two skaters might collide, we need to find the values of x and y that satisfy both equations:
y = -3x + 8
y = -2x^2 + 7x
We can set the two equations equal to each other and solve for x:
-3x + 8 = -2x^2 + 7x
This simplifies to:
2x^2 - 10x + 8 = 0
Dividing both sides by 2, we get:
x^2 - 5x + 4 = 0
Factoring the left side, we get:
(x - 1)(x - 4) = 0
So the solutions for x are x = 1 and x = 4.
To find the corresponding values of y, we can substitute these values of x into either equation. Let's use y = -3x + 8:
When x = 1, y = -3(1) + 8 = 5
When x = 4, y = -3(4) + 8 = -4
Therefore, the two skaters might collide at the points (1, 5) and (4, -4).
Step-by-step explanation:
The box plots below show data from a survey of students under 14 years old. They were asked on how many days in a month they read and draw. Based on the box plots, which is a true statement about students? pg780337 A Most students read less than 12 days a month. B Most students draw at least 12 days a month. C Most students draw more often than they read. D Most students read more often than they draw.
The Correct answer is D) Most students read more often than they draw.as the median of the "read" plot is lower than the median of the "draw" plot.
Based on the box plots, we can see that:
The median for the "read" data is around 8 days per month, and the interquartile range (IQR) is between 4 and 12 days.
The median for the "draw" data is around 12 days per month, and the IQR is between 8 and 16 days.
So, we can conclude that:
A) Most students read less than 12 days a month. This is true, since the median for the "read" data is below 12 days per month, and the box plot shows that most of the data is concentrated in the lower half of the range.
B) Most students draw at least 12 days a month. This is not true, since the median for the "draw" data is around 12 days per month, and the box plot shows that there is a considerable amount of data below that median.
C) Most students draw more often than they read. This is not true, since the median for the "read" data is lower than the median for the "draw" data.
D) Most students read more often than they draw. This is true, since the median for the "read" data is lower than the median for the "draw" data, and the box plot shows that most of the "read" data is concentrated in the lower half of the range, while most of the "draw" data is concentrated in the upper half of the range.
The box plots below show data from a survey of students under 14 years old. They were asked on how many days in a month they read and draw. Based on the box plots, which is a true statement about students? pg780337 A Most students read less than 12 days a month. B Most students draw at least 12 days a month. C Most students draw more often than they read. D Most students read more often than they draw.
Learn more about median here:
https://brainly.com/question/28060453
#SPJ1
7.3 Puzzle time
What Kind of Ship Can Last Forever?
The ship that can last forever for the given parallelogram is REHIFSDPI.
What is parallelogram?A unique variety of quadrilateral made up of parallel lines is called a parallelogram. A parallelogram can have any angle between its neighbouring sides, but it must have opposing sides that are parallel for it to be a parallelogram. If the opposing sides of a quadrilateral are parallel and congruent, it will be a parallelogram. Hence, a quadrilateral in which both sets of opposite sides are parallel and equal is referred to as a parallelogram.
The letter corresponding to each answer is:
1. congruent - R
2. parallelogram - E
3. pair - N
4. Bisect - H
5. sometimes - I
6. Sum of angles of parallelogram is 360, also opposite angles are equal, thus,
72 + 72 + 2x = 360
x = 108 - F
7. Sum of angles of parallelogram is 360, also opposite angles are equal, thus,
89 + 89 + x + x = 360
178 + 2x = 360
x= 91 - S
8. Diagonals of parallelogram bisect each other CO = 16. - D
9. Opposite sides of parallelogram are congruent thus,
4x + 2 = 5x - 3
x = 5 - P
10. Opposite sides are equal,
2x + 1 = x + 8
x = 7 - I
Hence, the ship that can last forever for the given parallelogram is REHIFSDPI.
Learn more about parallelogram here:
https://brainly.com/question/19187448
#SPJ1
Please I need help
The area of the shaded region is
The area of the shaded region under normal distribution is: 3.51
What is the area under the normal distribution?The standard normal distribution is defined as the normal distribution with a mean of 0 and a standard deviation of 1.
The z-table or the standard normal table is one that provides the area under the standard normal curve to the left of a specified value, or "z-value". The value for the area is also the probability that the variable is less than the specified z-value.
To the right of -2.25 and to the left of -0.35
From standard normal table, we have the p-values as:
Area to the left of -0.35 = 0.3632
Area to the left of -2.25 = 0.0122
Area of the shaded region = 0.3632 - 0.0122 = 0.351
Read more about Normal Area Distribution at: https://brainly.com/question/27275125
#SPJ1
Create a list of 3 numbers in which the mean is 15
A merchant mixed 12 lb of a cinnamon tea with 3 lb of spice tea. The 15-pound mixture cost $39. A second mixture included 16 lb of the cinnamon tea and 6 lb of the spice tea. The 22-pound mixture cost $58. Find the
cost per pound of the cinnamon tea and of the spice tea.
cinnamon
spice
Answer:
Step-by-step explanation:
Let x be the cost per pound of the cinnamon tea and y be the cost per pound of the spice tea.
From the first mixture, we have:
12x + 3y = 39
From the second mixture, we have:
16x + 6y = 58
We can solve this system of equations by elimination. Multiplying the first equation by 2 and subtracting it from the second equation gives:
16x + 6y = 58
(24x + 6y = 78)
-8x = -20
Dividing both sides by -8 gives:
x = 2.5
Substituting this value of x into the first equation, we get:
12(2.5) + 3y = 39
Simplifying, we get:
30 + 3y = 39
Subtracting 30 from both sides gives:
3y = 9
Dividing both sides by 3 gives:
y = 3
Therefore, the cost per pound of the cinnamon tea is $2.50 and the cost per pound of the spice tea is $3.
The diagram below represents how rock is affected when water enters cracks in rock, freezes, and becomes ice.
Which geologic process is represented in the diagram?
Answer: Physical weathering, more specifically, ice wedging
Step-by-step explanation:
:D
luke wants to buy an ipod. determine the equivalent cash price if luke makes 18 monthly payments of $31.48 at an interest rate of 15.2% compounded monthly
Answer:
We can use the formula for the present value of an annuity:
PV = PMT x [(1 - (1 + r)^(-n)) / r]
where PV is the present value, PMT is the monthly payment, r is the monthly interest rate, and n is the number of payments.
Substituting the given values, we have:
PV = $31.48 x [(1 - (1 + 0.152/12)^(-18)) / (0.152/12)]
PV = $31.48 x [(1 - 0.5159) / 0.0127]
PV = $1,007.97
Therefore, the equivalent cash price of the iPod is $1,007.97.
En un canal se necesitan diariamente 36 kg de maiz para alimentar a 480 gallinas ¿Cuantos kg se necesitan ahora si se vendieron 120 gallinas?
Resolver con reglla de 3
Answer:
Step-by-step explanation: it is -2x + 430298= -9n79000.
Mrs. Andretti is having new drapes made for her living
room. The cost of the fabric is $15 per yard. The fee to
make and hang the drapes is $250. She uses the expression
15x + 250 to calculate the total cost of the drapes. Mrs.
Andretti states that x represents the total cost of the fabric.
Is she correct?
• Yes, x represents the total cost of the fabric.
O No, x represents the total cost of the drapes.
• No, x represents the total yards of fabric used.
O No, x represents the total amount of fabric she
already has.
Fabric cost ($15 per yard) and curtain making and hanging ($250). x represents the total cost of the fabric and Mrs. Andretti can use the formula 15x to calculate the fabric cost and add the $250 fixed charge to get the total cost of the curtain.
Why do we determine costs?Cost computation helps in deciding on pricing, manufacturing output, and sales. It also helps in figuring out the costs of the products and services the company sells.
X does not represent the cost of fabric. X represents the number of yards of fabric used.
15x + 250
Could be read as ($15 × # of yards) + $250
She must therefore pay $15 per yard of cloth in addition to the $250 base cost of having them produced and hung.
She may indicate the price of fabric with an additional variable.
Example: Y
Y= 15x
Cost of fabric is equal to $15 per yard × # of yards.
To know more about cost visit:
brainly.com/question/25109150
#SPJ1
I need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation: 1. is Yes 2 is no 3. is all 4 is Y and 50 5 is yes and -1
If f(x)=3-2x and g(x)= 1x+5 what is the value of [f-g](8)?
Jump to level 1
What are m and b in the linear equation 3 + 7x + 11 + 10x = y?
m = Ex: 50 ÷
b = Ex: 50
Answer:
The given equation is 3 + 7x + 11 + 10x = y.
Simplifying the equation, we get:
y = 17x + 14
Comparing with the standard linear equation y = mx + b, we can see that:
m = 17
b = 14
Therefore, m = 17 and b = 14.
Make an expression with 4 terms where 3 of them are like terms.
2. Rewrite the expression by combining like terms. How many terms are there?
please help
Answer:
Step-by-step explanation:
An example of an expression with 4 terms where 3 of them are like terms is:
$5x^2 + 7x - 2x^2 + 3x$
To rewrite this expression by combining like terms, we add the coefficients of the terms with the same variables raised to the same power. In this case, the two terms with $x^2$ are like terms, so we can add their coefficients:
$5x^2 - 2x^2 + 7x + 3x = 3x^2 + 10x$
The resulting expression has 2 terms.
In circle C with the measure of minor arc BD=42°, find mBED.
Answer: mBED = 2(42°) = 84°
Step-by-step explanation:
We are asked to find the measure of the central angle ∠BED in the circle given that the measure of the minor arc BD is 42°.
We can use the formula that states that the measure of a central angle is equal to twice the measure of its intercepted arc. That is,
m∠BED = 2*mBD
We can substitute the value of mBD, which is 42°, into our equation.
m∠BED = 2*42°
m∠BED = 84°
Therefore, the measure of the central angle ∠BED is 84°.
FACTOR BY GROUPING
SEE ATTACHED IMAGE
SOLVE 4-6 BY STEPS 1-4
Answer:
see explanation
Step-by-step explanation:
(4)
5x³ - 10x² - 3x + 6
factor out 5x² from first 2 terms and - 3 from last 2 terms
= 5x²(x - 2) - 3(x - 2) ← factor out (x - 2) from each term
= (x - 2)(5x² - 3)
----------------------------------------------------
(5)
9a³ - 45a² - 7a + 35
factor out 9a² from first 2 terms and - 7 from last 2 terms
= 9a²(a - 5) - 7(a - 5) ← factor out (a - 5) from each term
= (a - 5)(9a² - 7)
-----------------------------------------------------
(6)
5x²y - 15y - 2x² + 6
factor out 5y from the first 2 terms and - 2 from the last 2 terms
= 5y(x² - 3) - 2(x² - 3) ← factor out (x² - 3) from each term
= (x² - 3)(5y - 2)
Determine the geometric mean of the numbers 8 and 6. Write your answer in simplest radical form.
I’ll give brainlist!
The geometric mean of the given numbers 8 and 6 is [tex]\sqrt{14}[/tex].
What is geometric mean?The Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the collection of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers collectively and calculate their nth root, where n is the total amount of data values.
In other terms, the geometric mean is the product of n numbers divided by the nth root. As a result of the fact that in mathematical mean, the data values are added before being divided by the total number of values. However, when calculating the geometric mean, we add the provided data values before taking the root of the total number of data values using the radical index.
What is Square root?A number's square root is a value that, when multiplied by itself, yields the initial number. The opposite way to square an integer is to find its square root. Squares and square roots are therefore connected ideas.
The geometric mean of the given number is given by the formula
GM=[tex]\sqrt{\\a+b}[/tex]
=[tex]\sqrt{8+6}[/tex]
=[tex]\sqrt{14}[/tex]
To know more about geometric mean, visit
https://brainly.com/question/8934175
#SPJ1
change 3 5 to a decimal fraction
Answer:
7/20
its the answer to your question
Rewrite quadratic function in standard form
Since the function is already in standard form (ax^2 + bx + c form) you don't have to change anything and simply rewrite it.
For the vertex, if you have a quadratic function in standard form -b/2a is the x value of the vertex.
-b/2a = -4/(2(2)) = -1
Since we now know the x-value of the vertex we can plug it into the function to find the corresponding y-value.
h(-1) = 2(-1)^2 + 4(-1) - 10 = -12
So, the vertex is at (-1,-12)
Which of the following quotients are true? Select all that apply. A. 1 2 ÷ 2 = 4 B. 1 3 ÷ 4 = 4 3 C. 1 2 ÷ 6 = 1 12 D. 1 5 ÷ 2 = 10 E. 1 8 ÷ 3 = 1 24
We may conclude after answering the presented question that None of the given quotient equations are true.
What is an equation?
A formula is a statement that two expressions are equal. An equation consists of two sides separated by an algebraic equation (=).
For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9."
The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements.
[tex]x^2 + 2x - 3 = 0.[/tex] Lines are utilized in many different areas of mathematics, such as algebra, calculus, and geometry.
None of the given quotients are true.
A. 1/2 ÷ 2 = 1/4, not 4.
B. 1/3 ÷ 4 = 1/12, not 4/3.
C. 1/2 ÷ 6 = 1/12, not 1/6.
D. 1/5 ÷ 2 = 1/10, not 10.
E. 1/8 ÷ 3 = 1/24, not 1/3.
To know more about equation visit:
brainly.com/question/649785
#SPJ1