Four baskets contain scented soaps. the baskets contain 9, 9, 11, and 15 soaps. if the soaps are divided evenly among the baskets, how many soaps will go in each basket?
Answer:
The answer is C on EDGEN.
Step-by-step explanation:
C. 11
Simplify. x-2/(x^2+4x-12)
Assume 20,000 is borrowed for 14 years at 8.5% interested compouinded annually
Which choice is the common difference between the terms of this arithmetic sequence?4x + 7y, 8x + 2y, 12x + -3y, 16x - 8y, 20x - 13y, ...
A.4x - 5y
B.-5x - 4y
C.4x + 5y
D.5x + 4y
E.5x - 4y
John is adding a curved edge to the landscaping in front of the high school. The curve is an arc of a circle with a radius of 1600 feet. The central angle that intercepts the curve measures π/8 radians. The length of the curve to the nearest foot is _____ feet.
The length of the curve to the nearest foot is 628 feet.
To find the length of the curved edge, which is an arc of a circle, one can use the formula for the arc length [tex]\( L \)[/tex] of a circle, given by the product of the radius [tex]\( r \)[/tex] and the radian measure [tex]\( \theta \)[/tex] of the central angle that intercepts the arc:
[tex]\[ L = r \cdot \theta \][/tex]
In this case, the radius [tex]\( r \)[/tex] is given as 1600 feet, and the central angle [tex]\( \theta \)[/tex] is given as [tex]\( \frac{\pi}{8} \)[/tex] radians.
Plugging in the values, we get:
[tex]\[ L = 1600 \text{ feet} \cdot \frac{\pi}{8} \text{ radians} \][/tex]
To find the numerical value, we use the approximation [tex]\( \pi \approx 3.14159 \)[/tex]:
[tex]\[ L \approx 1600 \cdot \frac{3.14159}{8} \] \[ L \approx 1600 \cdot 0.39269906 \] \[ L \approx 628.3185 \][/tex]
Since we are asked to round to the nearest foot, we consider the value 628.3185 feet. Rounding this to the nearest whole number, we get:
[tex]\[ L \approx 628 \text{ feet} \][/tex]
Therefore, the length of the curve to the nearest foot is 628 feet.
TIMED, need the answer
Subtract. Write your answer in simplest form. 5 1/2 - 1 2/7
HK is the perpendicular bisector of GJ find KJ
Answer:
its 60
Step-by-step explanation:
A trapezoid has an area of 80 square centimeters. If the trapezoid has a base measuring 8 centimeters and a height of 8 centimeters, what is the length of the other base?
As the weight of purchased items increases, the shipping charges increase, as shown in the table below. Weight, in oz Total Shipping Cost not more than 5 $9.50 more than 5, not more than 10 $13.25 more than 10, not more than 15 $17.00 more than 15, not more than 20 $20.75 Assuming only positive domain values, which statement is true of the graph that represents the data in the table? Beginning at 5 ounces, the graph is discontinuous at every fifth integer of the domain. The range values graphed for the set of data are $10, $14, $17, and $21. For every 1 ounce increase in weight, the total shipping cost increases by $3.75. The left side of each horizontal interval is a closed circle, and the right side is an open circle.
What is the volume of three cubes with a side length of 1/3 and V=s cubed
The sum of a student's three score is 246. if the first is 14 points more than the second, and the sum of the first two is 6 more than twice the third, what was the first score?
Trail mix is sold in 1 pound bags Mary will buy some trail mix And repackage it so that each of the 15 members of her hiking club gets 2/5 Pound bag how many 1 pound bags of trail mix should marry by to have a nut trail mix without leftovers
Mary should buy 6 bags of 1 pound trail mix to provide each of the 15 club members with a 2/5 pound bag, resulting in no leftovers.
Explanation:The task is to determine how many 1 pound bags of trail mix Mary should buy if each of the 15 members of her hiking club is to receive a 2/5 pound bag of trail mix without any leftovers.
First, calculate the total amount of trail mix needed by multiplying the number of members by the amount each member will receive: 15 members × 2/5 pound per member = 6 pounds.
Since trail mix is sold in 1 pound bags, Mary should buy 6 of these bags to provide the right amount of trail mix for her hiking club members without any leftovers.
A man has 14 coins in his pocket, all of which are dimes and quarters. if the total value of his change is $2.60, how many dimes and how many quarters does he have?
How do i solve this?
the main difference between secured and unsecured loans is that the secured loan ___.
A) has a higher interest rate
B) requires a cosigner
C) offers protection against identity theft
D) includes a pledge of collateral
Apex.
It includes a pledge of collateral.
Combine like terms. What is a simpler form of the expression?
-3(-4y + 3) + 7y
Question 4 options:
-19y + 3
19y - 9
10y
-19y - 9
help with this one please
In each round of a game show, a contestant answers a multiple-choice question that has three answer choices. The contestant advances to the next round by answering the question correctly. What is the probability of advancing to the seventh round if the contestant randomly guesses the answer to each question? Write your answer as a fraction in simplest form.
The probability of advancing to the seventh round by randomly guessing on a game show with three answer choices per question is 1/729.
The probability of advancing to the seventh round if the contestant randomly guesses the answer to each multiple-choice question with three answer choices is calculated by raising the probability of guessing one question correctly to the power of six, since the contestant needs to guess correctly six times in a row to reach the seventh round.
The probability of guessing one question correctly is 1/3, as there are three possible choices and only one correct answer. Thus, the probability of guessing six questions correctly in a row is (1/3)⁶.
Simplifying this, we get:
(1/3)⁶ = 1/729.
Therefore, the probability is 1/729.
What is the volume of the cylinder below?
Answer:
C) 288π units³
Step-by-step explanation:
When the height of an oblique cylinder is given, the formula for volume is
V = π×r²×h
Our radius is 6 and our height is 8:
V = π(6²)(8) = π(36)(8) = 288π
The volume of the cylinder is [tex]\boxed{288\pi {\text{ unit}}{{\text{s}}^3}}[/tex].Option (C) is correct.
Further explanation:
Given:
Theheight of the cylinder is [tex]{\text{8 units}}[/tex] and the radius of the cylinder is [tex]{\text{6 units}}.[/tex]
The options of the volume are given as follows.
A. [tex]{\text{216}}\pi {\text{uni}}{{\text{t}}^3}[/tex]
B. [tex]324\pi {\text{uni}}{{\text{t}}^3}[/tex]
C. [tex]288\pi {\text{uni}}{{\text{t}}^3}[/tex]
D. [tex]432\pi {\text{uni}}{{\text{t}}^3}[/tex]
Explanation:
The formula for the volume of the cylinder can be expressed as,
[tex]\boxed{{\text{Volume}} = \pi {r^2}h}[/tex]
‘r” is the radius of the cylinder and “h” is the height of the cylinder.
The volume of the right cylinder can be obtained as follows,
[tex]\begin{aligned}{\text{Volume}} &= \pi {r^2}h\\&= \pi\times {\left( 6 \right)^2} \times 8\\&= \pi\times 36 \times 8\\&=288\pi \\\end{aligned}[/tex]
The volume of the cylinder is [tex]36\pi {\text{ unit}}{{\text{s}}^3}.[/tex]
The volume of the cylinder is [tex]\boxed{288\pi {\text{ unit}}{{\text{s}}^3}}[/tex].Option (C) is correct.
Learn more:
Learn more about inverse of the functionhttps://brainly.com/question/1632445. Learn more about equation of circle brainly.com/question/1506955. Learn more about range and domain of the function https://brainly.com/question/3412497Answer details:
Grade: High School
Subject: Mathematics
Chapter: Mensuration
Keywords: Cylinder, surface area of the cylinder, volume of the cylinder, right cylinder, height, radius depth.
When fractions share the same number on the bottom they have a?
Does anyone else agree that the answer for this family of curves question is E, dy/dx = x + y?
The amount of money that high school students spend on fast food each month is usually between $50 and $200. However, there are a few students who do not eat fast food at all. What measure of spread would be most appropriate to measure the amount of money that high school students spend on fast food per month? Mean Interquartile range Range Standard deviation
The measure of spread that would be most appropriate to measure the amount of money that high school students spend on fast food per month is the range.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The amount of money that high school students spend on fast food each month can vary between $50 and $200, there is a considerable range of possible values.
Additionally, some students may not eat fast food at all, which could further increase the variability in the data.
The range is the difference between the maximum and minimum values in a dataset and provides a simple and straightforward measure of the variability of the data.
Therefore, the measure of spread that would be most appropriate to measure the amount of money that high school students spend on fast food per month is the range.
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what is the coefficient of x^5y^5 in the expansion of (x+y)^10
Answer:
The answer is option C= 252
Step-by-step explanation:
To get the coefficient of [tex]x^{5}y^{5}[/tex] we will put r = 5, in the below given general term.
The general term is : nCr [tex]x^{r}[/tex] [tex]y^{n-r}[/tex]
We get:
Coefficient is = 10C5 = [tex]\frac{10!}{5!*5!}[/tex]
= 252
So, option C is correct.
The area of a rectangle is 56 cm. The length is 2cm more than x and the width is 5 cm less than twice x.Solve for x
Observe the two functions on the graph.
Match each function with a type of function.
f(x): Cubic
Linear
Exponential
Quadratic
g(x): Cubic
Linear
Exponential
Quadratic
Help Please...
So, I'm doing a blueprint assignment for my school. I have to determine a scale factor. Right now, the house is in feet, its measurements 20 by 40. I want to do a blue print using centimeters as my scale. What I want to do is scale factor it so it's not too small but at the same time doesn't take up the whole graph paper. If anyone has a idea on what scale factor I should use, please answer.
If cos theta = 1/4 and 0 degrees, find tan theta
Final answer:
To find tan theta when cos theta = 1/4, use the Pythagorean identity to find sin theta and then divide sin theta by cos theta to get tan theta, which is (sqrt(15)).
Explanation:
To find tan theta when given that cos theta = 1/4 and knowing that theta is between 0 and 90 degrees, we can use the Pythagorean identity for trigonometric functions, which states that sin^2 theta + cos^2 theta = 1. Since we have cos theta, we can solve for sin theta.
First, square cos theta to get cos^2 theta:
cos^2 theta = (1/4)^2 = 1/16
Now, apply the identity:
sin^2 theta = 1 - cos^2 theta = 1 - 1/16 = 15/16
Take the square root to find sin theta (choosing the positive root since theta is between 0 and 90 degrees):
sin theta = √(15/16) = √15/4
Finally, use the definition of tan, which is sin theta / cos theta:
tan theta = sin theta / cos theta = (√15/4) / (1/4) = √15
A holding pen for cattle must be square and have a diagonal length of 84 84 meters.
a. find the length of a side of the pen.
b. find the area of the pen.
To find the length of a side of the pen, we can use the Pythagorean Theorem. The area of the pen can be calculated by multiplying the length of a side by itself.
Explanation:To find the length of a side of the pen, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, the diagonal of the pen acts as the hypotenuse.
Let's let s represent the length of a side of the pen. Using the Pythagorean Theorem, we have:
s^2 + s^2 = 84^2
Simplifying the equation, we get:
2s^2 = 7056
Dividing both sides of the equation by 2, we get:
s^2 = 3528
Taking the square root of both sides, we get:
s ≈ 59.46 meters
To find the area of the pen, we can multiply the length of a side by itself. So, the area is:
s * s = 59.46 * 59.46 = 3536.8516 square meters
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multiply and /or divide the following polynomials
Answer:
D) 4x - 17
E) -b - 6a
F) -2(7x + 34)
Explanation:
For question D, we divide each term in the first binomial by 3x and simplify:
(12x² / 3x) - (51xy / 3x)
12 / 3 = 4, x² / x = x 51 / 3 = 17, x / x = 1, y / 1 = y
4x - 17(1)y
4x - 17y is left as a quotient
For question E, we do distribute -3a to the binomial in the numerator and do the same, divide each term in the binomial by -6a and simplify:
-3a(-2b - 12a) = -3a(-2b) - 3a(-12a) = 6ab + 36a²
(6ab + 36a²) / -6a =
(6ab / -6a) + (36a² / -6a)
6 / -6 = -1, a / a = 1, b / 1 = b 36 / -6 = -6, a² / a = a
-1(1)(b) + (-6)(a)
-b - 6a is left as a quotient
For question F, we distribute the 4 and 3x to their respective binomials and then combine like terms where applicable:
4(x² - 8x) + 3x(-6x - 12)
4(x²) + 4(-8x) + 3x(-6x) + 3x(-12)
4x² - 32x - 18x² - 36x
4x² - 18x² - 32x - 36x
-14x² - 68x, both terms have a greatest common factor (GCF) of -2 which can be divide out of them to further simplify:
-2(7x + 34)