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
When fractions share the same number on the bottom they have a?
If p(x) = 2x^3 - 3x + 5, what is the remainder of p(x) divided by (x - 5)
The question is
if p(x)= 2x³-3x+5, what is the remainder of p(x) divided by (x-5)
We use the synthetic division to find the remainder,
x-5=0
x=5
Now, write the coefficients of polynomial.
5 | 2 0 -3 5
| ↓ 10 50 235
-------------------------------
2 10 47 | 240→ is the remainder.
Quotient= 2x²+10x+47
Remainder= 240
The remainder of [tex]P\left( x \right) = 2{x^3} - 3x + 5[/tex] divided by [tex]\left( {x - 5}\right)[/tex] is
Explanation:
If division of a polynomial by a binomial result in a remainder of zero means that the binomial is a factor of polynomial.
The polynomial is [tex]P\left( x \right) = 2{x^3} - 3x + 5[/tex] and [tex]\left( {x - 5} \right).[/tex]
The numerator of the division is [tex]P\left( x \right) = 2{x^3} - 3x + 5[/tex] and the denominator is
Solve the given polynomial [tex]P\left( x \right) = 2{x^3} - 3x + 5[/tex] by the use of synthetic division.
Now obtain the value of [tex]x[/tex] from the denominator.
[tex]\begin{aligned}x - 5 &= 0\\x&= 5\\\end{aligned}[/tex]
Divide the coefficients of the polynomial by [tex]5.[/tex]
[tex]\begin{aligned}5\left| \!{\nderline {\,{2\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0\,\,\,\,\,\,\,\,\,\,\,\,\, - 3\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,5} \,}} \right. \hfill\\\,\,\,\,\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,10\,\,\,\,\,\,\,\,\,\,\,\,\,50\,\,\,\,\,\,\,\,\,\,\,\,\,\,235}\hfill\\\,\,\,\,\,2\,\,\,\,\,\,\,\,\,\,\,\,\,10\,\,\,\,\,\,\,\,\,\,\,\,\,47\,\,\,\,\,\,\,\,\,\,\,\,\,\,240\hfill\\\end{aligned}[/tex]
The last entry of the synthetic division tells us about remainder and the last entry of the synthetic division is [tex]240[/tex].Therefore, the remainder of the synthetic division is [tex]240.[/tex]
The remainder of [tex]p\left( x \right) = 2{x^3} - 3x + 5[/tex] divided by [tex]\left( {x - 5}\right)[/tex] is [tex]\boxed{240}.[/tex]
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Synthetic Division
Keywords: division, binomial synthetic division, long division method, coefficients, quotients, remainders, numerator, denominator, polynomial, zeros, degree.
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
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?
A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months
Answer:
Difference in cash and plan = $155 - $149.50 = $5.50
Interest Rate = 3.68%
Step-by-step explanation:
Given:A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months
A food processor by cash = $149.50
Payment plan = Down payment + $10*15 months
= $5 + $10*15
= $5 + $150
Payment plan = $155
Difference in cash and plan = $155 - $149.50 = $5.50
Now we have to find the interest rate
= (difference/original)*100
= (5.50/149.50)*100
Interest Rate = 3.68%
Answer:
Step-by-step explanation:
What is the volume of three cubes with a side length of 1/3 and V=s cubed
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.
How do i solve this?
Which is the graph of the inequality?
5y + x > -10?
Answer:
This one is Right...
Step-by-step explanation:
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.
Assume 20,000 is borrowed for 14 years at 8.5% interested compouinded annually
Your test scores in one class are 82 and 88. What possible scores can you earn on your next test to have a test average between 85 and 90, inclusive?
To have a test average between 85 and 90, inclusive, the scores on the next test should be greater than or equal to 85 and less than or equal to 100.
Explanation:To have a test average between 85 and 90, inclusive, you need to find the possible scores on your next test. Let's assume the score on the next test is x. Then, the average of all three tests can be calculated as (82 + 88 + x) / 3. Now, we can set up an inequality to find the possible values of x:
(82 + 88 + x) / 3 ≥ 85 and (82 + 88 + x) / 3 ≤ 90
Simplifying each inequality, we get:
170 + x ≥ 255 and 170 + x ≤ 270
Subtracting 170 from both sides, we have:
x ≥ 85 and x ≤ 100
Therefore, the possible scores you can earn on your next test to have a test average between 85 and 90, inclusive, are any scores greater than or equal to 85 and less than or equal to 100.
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Subtract. Write your answer in simplest form. 5 1/2 - 1 2/7
Danny decided to invest his $500 tax refund rather than spending it. He found a bank that would pay him 4% interest, compounded quarterly. If he deposits the entire $500 and does not deposit or withdraw any other amount, how long will it take him to double his money in the account? Round your answer to the nearest tenth of a year. It will take Answer years for his investment to double.
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?
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.
help with this one please
You toss a coin 15 times. P(Heads) = 2/5. (1 point)
A• experimental; the result is found by repeating an experiment. ****
B• experimental; the result is based on the number of possible outcomes.
C• theoretical; the result is found by repeating an experiment.
D• theoretical; the result is based on the number of possible outcomes .
I think it's A...
Tell me if I'm wrong.
Experimental Probability is the ratio of the number of times an event occurs to the total number of trials or times the activity is performed.
Theoretical probability is equal to the number of favorable outcomes divided by the total number of possible outcomes.
In your case, when tossing a coin 15 times, you get the Pr(Heads)=2/5, this probability is experimental and the result is found by repeating an experiment.
Answer: correct option A.
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.
Which expression is equivalent to (x2 – 3x)(4x2 + 2x – 9)?
A. x2(4x2 + 2x – 9) – 3x
B. x2(4x2 + 2x – 9) – 3x(4x2 + 2x – 9)
C. x2(4x2 + 2x – 9) + 3x(4x2 + 2x – 9)
D. x2(4x2 + 2x) – 3x(2x – 9)
Answer:
B. [tex]x^2(4x^2 + 2x -9) -3x(4x^2 + 2x - 9)[/tex]
Step-by-step explanation:
The distributivity establish that in order to multiply these two polynomials, first you have to multiply [tex]x^2[/tex] by every element in [tex]4x^2 + 2x - 9[/tex] and then multiply [tex]-3x[/tex] by every element in [tex]4x^2 + 2x - 9[/tex] as well.
That is exactly what the option B. says, since
in the expresion [tex]x^2(4x^2 + 2x - 9) - 3x(4x^2 + 2x - 9)[/tex] [tex]x^2[/tex] is being multiplied by every element in [tex](4x^2 + 2x - 9)[/tex] and also [tex]-3x[/tex] is being multiplied by every element in [tex](4x^2 + 2x - 9)[/tex].
The distance between the y value in the data and the y value predicted from the regression equation is known as the residual. what is the value for the sum of the squared residuals
The value for the sum of the squared residuals is SS(residuals) = (1 - r²) SS(y).
What is meant by Residual Value?Residual value is defined as the difference of the value that we predicts with that of the observed value.
Given that,
The distance between the y value in the data and the y value predicted from the regression equation is known as the residual.
Sum of the squared residuals is used to measure the variance level in a regression model.
We know that,
r² = 1 - [SS(residuals) / SS(total)]
[SS(residuals) / SS(total)] = 1 - r²
SS(residuals) = (1 - r²) SS(total)
SS(residuals) = (1 - r²) SS(y)
Hence the value is SS(residuals) = (1 - r²) SS(y).
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Use logarithms to solve each equation 2x9/8=111
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
HK is the perpendicular bisector of GJ find KJ
Answer:
its 60
Step-by-step explanation:
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
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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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
In ΔMNP, what is the measure of < N?
20 degrees
46 degrees
64 degrees
76 degrees
Answer:
76
Step-by-step explanation:
Find the probability for the experiment of tossing a six-sided die twice. the sum is less than 7
Final answer:
The probability of getting a sum less than 7 when rolling a six-sided die twice is 5/12. There are 15 possible outcomes where the sum is less than 7 out of 36 total outcomes.
Explanation:
The question asks for the probability that the sum of the numbers shown by rolling a six-sided die twice is less than 7. To find this probability, we need to consider all the possible outcomes of rolling two dice.
Each die has 6 faces, so when you roll two dice, there are a total of 6 x 6 = 36 possible outcomes. To get the sum less than 7, we can have the following combinations:
(1,1) Sum = 2
(1,2) Sum = 3
(2,1) Sum = 3
(1,3) Sum = 4
(2,2) Sum = 4
(3,1) Sum = 4
(1,4) Sum = 5
(2,3) Sum = 5
(3,2) Sum = 5
(4,1) Sum = 5
(1,5) Sum = 6
(2,4) Sum = 6
(3,3) Sum = 6
(4,2) Sum = 6
(5,1) Sum = 6
Adding up the number of outcomes, there are 15 possibilities where the sum is less than 7. Therefore, the probability is 15 out of 36. This simplifies to 5/12 when reduced to its simplest form.
So, the probability of getting a sum less than 7 when rolling a six-sided die twice is 5/12.