Patrick ate 2/3 of a fruit bar write an equivalent fraction for the amount of fruit bar Patrick ate
how many radians are in a semicircle? a.2π, b.π, c.π/2, d.3π/2
A semicircle, which is half of a full circle, consists of half the total amount of radians in a full circle. Since a full circle has 2π radians, a semicircle contains π radians. Therefore, the correct answer is b.π.
Explanation:To answer your question, let's review the structure of a circle.It is divided by its radius into 360 degrees or by its diameter into a full rotation of 2π radians. Therefore, a semicircle, which is half of a circle, must consist of half the total amount of radians in a full circle.
In a full circle, there are 2π radians. Hence, in a semicircle, which is exactly half of the full circle, there would be 2π/2. This simplifies to π radians.
So, the correct answer to your question 'How many radians are in a semicircle?' is b.π.
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If f(x)=7+4x and g(x)=1/2x What is the value of (f/g)(5)?
Answer:
[tex]\bigg(\displaystyle\frac{f}{g}\bigg)(5) = 270[/tex]
Step-by-step explanation:
We are given the following information in the question:
[tex]f(x) = 7 +4x\\\\g(x) = \displaystyle\frac{1}{2x}[/tex]
We have to find the values of [tex]\displaystyle\frac{f}{g}(x)[/tex]
[tex]\bigg(\displaystyle\frac{f}{g}\bigg)(x) = \frac{f(x)}{g(x)} = \frac{7 + 4x}{\frac{1}{2x}} = 2x(7+4x)[/tex]
Putting x = 5, we have:
[tex]\bigg(\displaystyle\frac{f}{g}\bigg)(x) = 2x(7+4x)\\\\\bigg(\displaystyle\frac{f}{g}\bigg)(5) = 2(5)(7+20)=270[/tex]
270 is the required value of [tex]\bigg(\displaystyle\frac{f}{g}\bigg)(5)[/tex].
A rectangular prism has a length of 4 1/2 millimeters, a width of 4 1/2 millimeters, and a height of 6 millimeters.
Sally has a storage container for the prism that has a volume of 143 cubic millimeters.
What is the difference between the volume of the prism and the volume of the storage container?
Help Please?
Answer:
21 1/2
Step-by-step explanation:
A radar gun used to determine the speed of passing cars must be within 7 mph of the actual speed of a selected car. If a highway patrol officer reads a speed of 59 mph for a car, does he have irrefutable evidence that the car was speeding in a 55 mph zone?
what is the square root of 4 multiplied by 16
The measure of angle E, the angle of elevation from point A to point B, is 5(x-2). The measure of angle D, the angle of depression from point B to point A, is (x+14). Find the measure of each angle.
Answer:
measure of angle E equals 20 degrees, measure of angle D equals 20 degrees
Elijah is going to spin a spinner that goes to 4 180 times.He predicts that 60 of those spins will result in the spinner landing on the section labeled 3. Based on the theoretical probability, which best describes Elijah’s prediction?
Answer:
A. Elijah’s prediction is exact because 180 divided by 3 = 60.
Step-by-step explanation:
amy is building a house. the basement floor is at -15 feet. the roof of the house is above the ground 25 feet. write an inequality to compare the heights. explain the meaning of the inequality.
BONUS: what is an inequality.
what is the solution to -9×<63
Rearrange the formula A = P + Prt for t.
Which statement best compares -1/2 and -2 1/2
The Comparison between -1/2 and -2 1/2 is -1/2 is -2 more than -5/2.
What are fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
-1/2 and -2 1/2
So, -1/2 and -5/2.
So, the quantity -1/2 > -5/2
Also, -1/2 is -2 more than -5/2.
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Which expression represents the sixth term in the binomial expansion of (5y+3)^10
Answer:
bb
Step-by-step explanation:
Identify the type of correlation shown in the scatter plot
A. Positive Correlation
B. Negative Correlation
C. No correlation.
Translated these questions to a equation:
6 more than 9 times a number x is -12
the quotient of a number t and 7, plus 2, is -4
What is the solution to 2log9(x)=log^9(8)+log9(x-2)
Answer:
C. x=4
Step-by-step explanation:
Find the sum of the geometric series with a1 = 7, r = 2, And n = 14
The sum of the geometric series with a1 = 7, r = 2, and n = 14 is -327661.
Explanation:The question is asking for the sum of a geometric series. In mathematics, the sum (S) of a geometric series is determined using the formula S = a1 * (1 - r^n) / (1 - r), where a1 is the first term, r is the common ratio, and n is the number of terms.
In the provided geometric series, a1 = 7, r = 2, and n = 14. Substituting these values into the formula gives us S = 7 * (1 - 2^14) / (1 - 2). After performing the calculations, the sum of the geometric series is -327661.
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The sum of the first 14 terms of the geometric series with the first term (a1) = 7, common ratio (r) = 2, is 114,691.
Explanation:Given the first term of the geometric series (a1) = 7, the common ratio (r) = 2, and the number of terms (n) = 14, we would like to find the sum of this series. Using the formula for the sum of a geometric series, S = a1 * (1 - r^n) / (1 - r), substituting the given values, we get:
S = 7 * (1 - 2^14) / (1 - 2)
This simplifies to S = 7 * ( -16383) / -1, which results in S = 114,691. So, the sum of the first 14 terms of this geometric series is 114,691.
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Which is a disadvantage of withdrawing more money than is available in a checking account?
A disadvantage of withdrawing more than you have in your account is you will be charged an overdraft fee.
What is an Overdraft Fee?An overdraft fee can be described as the fee your bank charges you when you make a withdrawal from your account beyond what you have in it.
An overdraft fee is one of the disadvantages of withdrawing more money than you have in your account..
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△ABC is reflected to form △A′B′C′ . The vertices of △ABC are A(3, 1) , B(1, 5) , and C(6, 9) . The vertices of △A′B′C′ are A′(−1, −3) , B′(−5, −1) , and C′(−9, −6) . Which reflection results in the transformation of △ABC to △A′B′C′ ?
Answer:
that would be a reflection across the y axis resulting in a -x
Step-by-step explanation:
Suppose that with a budget of $100, Deborah spends $60 on sushi and $40 on bagels when sushi costs $2 per piece and bagels cost $2 per bagel. But then, the price of bagels falls to $1 per bagel.
how to solve -2x+y=7, 3y=6x+4
What is the total finance charge for a $4,250 loan at 13.25% interest compounded monthly for 24 months?
a. $25.47
b. $202.55
c. $611.20
d. $4,861.20
Answer: Option c. $ 611.20 will be correct.
Explanation:
Since, the total amount of finance charge is [tex]A=P\frac{r(1+r)^n}{(1+r)^n-1}[/tex]
Where P is the principle, r is the rate, n is the times of compound interest (monthly or quarterly etc.) .
Here P=$4250 r=13.25%, and n=24.
So according to the formula So, the finance charge= [tex]4250\frac{13.25(1+13.25)^{24}}{(1+13.25)^{24}-1}[/tex] = $ 611.20
The total finance charge for a $4,250 loan at 13.25% interest compounded monthly for 24 months is c) $611.20.
To calculate the total finance charge for a $4,250 loan at 13.25% interest compounded monthly for 24 months, we can use the following formula:
Total finance charge = Principal * (1 + Monthly interest rate)^Number of months - Principal
Where:
Principal is the amount of the loan ($4,250)
Monthly interest rate is the annual interest rate divided by 12 (13.25% / 12 = 1.1042%)
Number of months is the term of the loan in months (24)
Total finance charge = 4250 * (1 + 0.011042)^24 - 4250
Total finance charge = 611.20
Therefore, the answer is c. $611.20.
Note that this formula is for calculating the total finance charge over the entire term of the loan. If you want to calculate the monthly finance charge, you can simply divide the total finance charge by the number of months in the loan term. For example, the monthly finance charge for this loan would be $611.20 / 24 = $25.47.
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A bucket is put under a leaking ceiling. the amount of water in the bucket doubles every minute. after 8 minutes, the bucket is full. after how many minutes is the bucket half full? show work
What is 1/4 as a whole number?
a kittens heartbeat can be as fast as 240 beats per minute . to find the number of times a kittens heart beats in 30 seconds , Aiden says divide 240 ny 30 . do you agree with him why or why not
which is equivalent to (9y2 – 4x)(9y2 + 4x), and what type of special product is it?
81y4 – 16x2, a perfect square trinomial
81y4 – 16x2, the difference of squares
81y4 – 72xy2 – 16x2, a perfect square trinomial
81y4 – 72xy2 – 16x2, the difference of squares
81y4 -16x, the difference of squares.
The expression (9y2 – 4x)(9y2 + 4x) is equivalent to 81y4 – 16x2, a difference of squares in mathematical terms.
Explanation:The expression you are asking about is equivalent to
81y4 – 16x2
, which is a special product known as
the difference of squares
. In mathematics, a difference of squares is a term that describes an expression of the form a^2 - b^2. It can be factored into the multiplication of two binomials: (a+b)(a-b). In your example, (9y2)^2 is 81y4 and (-2x)^2 is 16x2, so the final expression is 81y4 – 16x2.
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1/6 of 3 yards=______feet
I know I just ask one but u get 17 points so plz help I'm stuck
In this question, first we have to see how many feets are in 1 yard .
And there are 3 feets in 1 yard.
So in 3 yards, there are 9 feets
Therefore we will get
[tex] \frac{1}{6}*3 yards= \frac{1}{6} * 9 feet = 1.5 feet [/tex]
Therefore the answer of the given question is 1.5 feet.
Final answer:
To find the equivalent feet for 1/6 of 3 yards, multiply 1/6 by 3 feet per yard to get 1.5 feet.
Explanation:
1/6 of 3 yards=_____feet
Step 1: 1 yard is equal to 3 feet.
Step 2: To find the equivalent feet for 1/6 of 3 yards, calculate 1/6 x 3 = 0.5 x 3 = 1.5 feet.
In an office, the number of chairs, c , is equal to five more than twice the number of desks, d. Which equation matches the information?
Final answer:
The algebraic equation that represents the relationship between the number of chairs, c, and the number of desks, d, in an office, where the number of chairs is five more than twice the number of desks, is c = 2d + 5.
Explanation:
The student's question pertains to creating an algebraic equation based on a given word problem describing the relationship between the number of chairs (c) and desks (d) in an office. The problem states that 'the number of chairs, c, is equal to five more than twice the number of desks, d'.
To formulate the equation that illustrates this relationship, we apply the information provided:
Identify the number of chairs as c.Determine that c is 'five more than' something, which suggests addition.Recognize that 'twice the number of desks' means 2 times d, or 2d.Combine the above to conclude that the 'five more than' is added to the 'twice the number of desks', which gives us the equation c = 2d + 5.The scale on a map is 1 cm for every 400 km. If Maine and Japan are 22 cm apart on the map, what is the distance between Maine and Japan?
HELP ME PLEASE! How is the graph of mc027-1.jpg related to its parent function, mc027-2.jpg?
The graph of [tex]y = \sqrt{-2x[/tex] relates to its parent function as a result of (d) horizontal compression by a factor of 2, and a reflection across the y-axis
What is a function transformation?A function transformation involves changing the form or equation of a function to another through reflection, dilation, translation or rotation
How to determine the function transformationThe parent function is given as:
[tex]y = \sqrt x[/tex]
Compress the function horizontally by a factor of 2, using the following rule
[tex](x,y) \to (2x,y)[/tex]
So, we have:
[tex]y = \sqrt {2x[/tex]
Next, reflect the function over the y-axis, using the following rule
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]y = \sqrt {-2x[/tex]
Hence, the function transformation is (d)
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