5 lollipops and 12 toffees have a mass of 61 grams and 10 lollipops and 13 toffees have a mass of 89 grams . Calculate the mass of one lollipop and one toffee
Determine the volume of the right circular cone generated by rotating the line y = 1/3x about the y-axis between y = 0 and y = 3.
A) V = 81pi cu.units
B) V = 84pi cu.units
C) V = 82pi cu.units
D) V = 85pi cu.units
E) V = 83pi cu.units
In this exercise we want to calculate the volume of a circular cone in this way we have that the rotation will be given by:
Letter A
First let's write the rotation in favor of the X, this will be equal to:
[tex]y = x/3\\x = 3y[/tex]
So substituting this value in the function we find that:
[tex]x^2 =(3y)^2= 9y^2\\\int\limits^3_0 {9y^2} \, dx =81 \pi[/tex]
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The ordered pair below is a solution to which equation? (2, 12) A. y = 6x B. y=1/2x C. y = 2x D. y=1/6x
URGENT! PLEASE HELP MATH!
Which shows the conversion of 0.427 kg to pounds?
There are 2.2 pounds in 1 kilogram.
A.
0.427 kg × 2.2 lb/kg = 9.39 lb
B.
0.427 kg × 2.2 lb/kg = 0.939 lb
C.
0.427 kg + 2.2 lb/kg = 2.627 lb
D.
0.427 kg ÷ 2.2 lb/kg = 0.194 lb
being timed help
What is the common ratio for the geometric sequence?
43,4,12,36,...
Rachel and Sierra are selling boxes of fruit as a fundraiser. Rachel has sold 9/10 boxes of fruit and Sierra has sold 2 has sold 5/8 of her boxes.which girl has sold a greater fraction of her boxes of fruit?Draw a model and Explain
Does it matter if you add azero when you divide a dcimal.
Answer:
no it does not matter
Step-by-step explanation:
The slope of a line is -, and the y-intercept is . What is the equation of the line written in general form?
A) 10x + 3y - 1 = 0
B)x + 3y + 10 = 0
C) x + 3y - 10 = 0
factor 6x^2+11x+4 ...?
which is a factored form of 216p^3 + 125q^3?
The factored form of [tex]\( 216p^3 + 125q^3 \) is \( (6p + 5q)(36p^2 - 30pq + 25q^2) \).[/tex]
To find the factored form of the expression [tex]\(216p^3 + 125q^3\)[/tex], we can use the sum of cubes formula:
[tex]\[ a^3 + b^3 = (a + b)(a^2 - ab + b^2) \][/tex]
Where a = 6p and b = 5q.
Substituting these values into the formula, we get:
[tex]\[ 216p^3 + 125q^3 = (6p)^3 + (5q)^3 \][/tex]
[tex]\[ = (6p + 5q)((6p)^2 - (6p)(5q) + (5q)^2) \][/tex]
[tex]\[ = (6p + 5q)(36p^2 - 30pq + 25q^2) \][/tex]
Therefore, the factored form of [tex]\( 216p^3 + 125q^3 \) is \( (6p + 5q)(36p^2 - 30pq + 25q^2) \).[/tex]
Complete question:
What is the factored form of 216p³+125q³?
14 inches of snow fell in 4 hours how much snow fell each hour
How many years will it take for 2000 to double at a simple interest rate of 8%? explain how you found your answer
Find the inverse of f(x)=2x^2+5
When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using __________.
A. The law of sines
B. The alternative form of the law of sines
C. The alternative form of the law of cosines
D. The Pythagorean Theorem
C. The alternative form of the law of cosines
When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using the alternative form of the law of cosines.
Explanation;From the law of cosines, given that a, b and c are the edges of a triangle and A, B and C are the corresponding interior angles of the the triangle.Then; a² = b² + c² − 2 bc cos A, or b² = a² + c² − 2 bc cos B, or c² = a² +b ² − 2 bc cos CTherefore; when given all the sides or edges of the triangle;
we can use the law of cosines to find one angle, then we use the law of cosines again to find the second angle, and finally,we use the point that angles in a triangle add up to 180 to get the third angle;If the principal is $350 and the interest rate is 3 percent, what is the simple interest earned in one year? simple interest = P × r × t Select one of the options below as your answer: A. $10.50 B. $30.25 C. $105
Answer:
The option A. $10.50 is correct
Step-by-step explanation:
Principal = $350
Rate = 3%
⇒ Rate = 0.03
Time = 1 year
Now, Simple Interest is given by the formula : Principal × Rate × Time
Therefore, Simple Interest = 350 × 0.03 × 1
⇒ Simple Interest = $10.50
Hence, The option A. $10.50 is correct
Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1?
Answer:
B
Step-by-step explanation:
15x+1= y solve for x ...?
15x + 1=y subtract 1 from both sides
15x=y-1 divide both sides by 15
x=(y-1)/15
Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x – 4.75) = 629.9. She left out the description for the last step.
What is the missing step of her solution?
Add 10.4 to both sides.
Add negative 10.4 to both sides.
Multiply both sides of the equation by 10.4.
Divide both sides of the equation by 10.4.
Mark this and return
Answer: Last Option is correct.
Step-by-step explanation:
Since we have given that
[tex]2.3 + 8(1.3x-4.75) = 629.9[/tex]
We need to solve the above equation,
[tex]2.3 + 8(1.3x-4.75) = 629.9\\\\2.3+10.4x-38=629.9\\\\-35.7+10.4x=629.9\\\\10.4x=629.9+35.7\\\\10.4x=665.6\\\\\text{ Dividing 10.4 on both sides}\\\\x=\frac{665.6}{10.4}\\\\x=64[/tex]
Hence, Divide both sides of the equation by 10.4.
Therefore, Last Option is correct.
Answer:
D
Step-by-step explanation:
The recursive formula An+1 = 2∙An number of people with a virus in a school each week. If there are 96 people infected with the virus after 3 weeks, how many people will be infected after 6 weeks? What is the explicit formula?
If f(x) = 3x + 10x and g(x) = 4x – 2, find (f + g)(x).
A. 17x – 2
B. 3x – 6x + 2
C. 3x + 14x – 2
D. 3x + 6x + 2
Answer:c
Step-by-step explanation:
In which quadrant is point (4,5) located
12 liters is about how many quarts
What is the answer to 0.1 * n = 89.9 ?
A group of men and women were asked what their favorite pet was, and the results of the survey were tabulated. find p(b/not
a.
Use the graph of the function h below to find the following.All values at which h has a local minimum
All local minimum values of h
If there is more than one answer, separate them with commas.
Local minimums of a function are points where the function changes from decreasing to increasing. They are found at the x-coordinates where this change occurs, and their specific values are the y-coordinates of these points.
Explanation:A local minimum of a function is a point where the function has lower values than at all nearby points. To find these points on a graph, look for the locations where the function goes from decreasing to increasing. These are the x-values at which the function has a local minimum. To find the actual minimum values, find the y-coordinates of these points. For example, suppose function h has local minimums at x = -2 and x = 3. The y-coordinates of these points, say, y = -5 and y = 0, respectively, would be the local minimum values of h.
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(3a2 + 2a - 2) - (a2 - 3a + 7)
Larry Klaus withdrew $310.80 simple interest from an account after 4 years. If he invested $1,110.00, how much was his rate of interest?
7%
6%
4%
5%
Answer:
7% is the answer (hope this helps) or do you need explanations?
Step-by-step explanation:
Factor the expression.
t^2 - 14t + 49
Two workers produced 86 parts during their working shift. The first worker produced 15% more parts than the second one. How many parts did each worker produce?
Answer:
Worker 1: 46 parts
Worker 2: 40 parts
jack has no more than $24 to spend on DVD's for a party. Each DVD rents for $4. Find the maximum number of DVD's jack can rent for his party. answer must be written on a number line
Answer:
Jack can rent a maximum of 6 DVD's
Step-by-step explanation: