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
In order to purchase a home, a family borrows $159,000 at 6.5% for 30 years. Use the table to find their monthly payment. Round the answer to the nearest cent.
a.
$954.00 c.
$1,186.14
b.
$1,006.47 d.
$1,276.36
Answer:
B
Step-by-step explanation:
Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1?
Answer:
B
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
In which quadrant is point (4,5) located
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.
Is 69 a prime or composite number
Answer:
composite
divisible by 3,1,69,23
Have a nice day!
Step-by-step explanation:
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:
The table below shows the temperature (in °F) t hours after midnight in Phoenix on March 15. The table shows values of this function recorded every two hours.
Estimate the value of T′(8). Give units in your answer.
What is the meaning of T′(8)?
t 0 2 4 6 8 10 12 14
T 73 73 70 68 73 80 86 89
We need to estimate the value of T'(8) and then we need to give the meaning of this value. Since we have a table and not an expression of a function our goal is to find the Average Rate of Change between two points.
For a nonlinear graph whose slope changes at each point, the average rate of change between any two points [tex](x_{1},f(x_{1}) \ and \ (x_{2},f(x_{2})[/tex] is the slope of the line through the two points. So:
[tex]ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} =\frac{Change \ in \ y}{Change \ in \ x}=m_{sec}[/tex]
1. Estimated value of T′(8).
T'(8) means the derivative of the function T(t) when t = 8 hours. So, we can estimate this value using the average rate of change:
[tex]ARC=\frac{T(8)-T(6)}{8-6} =\frac{73-68}{8-6}=\frac{5}{2} \ degrees \ per \ hours[/tex]
2. The meaning of T′(8)
This means the average temperature after midnight in Phoenix on March 15, from t = 6 to t = 8 hours, that is, for each hour the temperature rises 5/2 degrees on the Fahrenheit scale. The points have been plotted in the Figure bellow.
The rate of change of the temperature is 3 degrees Celsius per hour. This response means that temperature has an instantaneous increase rate of 3 degrees Celsius per hour at [tex]t = 8\,h[/tex].
We can estimate the rate of change of the temperature, in degrees Celsius per hour, by calculating the average of two consecutive secant lines, whose expression is presented below:
[tex]T'(t) \approx \frac{1}{2}\cdot \left[\frac{T(t+\Delta t)-T(t)}{\Delta t} + \frac{T(t)-T(t-\Delta t)}{\Delta t} \right][/tex] (1)
If we know that [tex]\Delta t = 2[/tex], [tex]T(6) = 68[/tex], [tex]T(8) = 73[/tex] and [tex]T(10) = 80[/tex], then the estimated value of the rate of change of the temperature is:
[tex]T'(8) = \frac{1}{2}\cdot \left[\frac{80-73}{2}+\frac{73-68}{2} \right][/tex]
[tex]T'(8) \approx 3\,\frac{^{\circ}C}{h}[/tex]
The rate of change of the temperature is 3 degrees Celsius per hour. This response means that temperature has an instantaneous increase rate of 3 degrees Celsius per hour at [tex]t = 8\,h[/tex].
We kindly invite to check this question on rates of change: https://brainly.com/question/18904995
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]
See more about volume at brainly.com/question/1578538
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?
What is the answer to 0.1 * n = 89.9 ?
A baseball that usually cost $65 is on sale for $55.25. what is the percent off?
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 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
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
Does it matter if you add azero when you divide a dcimal.
Answer:
no it does not matter
Step-by-step explanation:
being timed help
What is the common ratio for the geometric sequence?
43,4,12,36,...
How many years will it take for 2000 to double at a simple interest rate of 8%? explain how you found your answer
12 liters is about how many quarts
What is the length of the hypotenuse of a right triangle with leg lengths of 8 inches and 15 inches?
A. 13 inches
B. 17 inches
C. 21 inches
D.25 inches
Answer:
B.17 INCHESStep-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
just helping the other guy get brainliest.
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:
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
Find the inverse of f(x)=2x^2+5
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:
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
Factor the expression.
t^2 - 14t + 49
What is the side length of a cube with a volume of 4913 m3? m
14 inches of snow fell in 4 hours how much snow fell each hour