100 terabytes of data must be used in order for Charles' internet bill to equal Wilma's internet cost.
What is the Intercept of the equations?Assume that there are x gigabytes of data.
The equation for Charles is y = 0.25x since he pays $0.25 for each gigabyte of data.
The calculation for Wilma is y = 0.05x + 20 because she pays a flat rate of $20 and $0.05 per gigabyte.
Charles must pay the same amount for internet service as Wilma, so;
0.25x = 0.05x + 20
0.2x = 20
x = 20/0.2
x = 100
Hence, 100 terabytes of data must be used in order for Charles' internet bill to equal Wilma's internet cost.
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Urgent!
Use synthetic division to find the remainder
Check the picture below.
State if the following statement is Biased or Unbiased.
Mr. Smith wants to figure out which fast food restaurant is the most popular amongst the teenagers. He surveys all the teenagers at McDonald's.
Question 3 options:
Biased
Unbiased
Answer:
I think biased
Step-by-step explanation:
it's the best answer for me
Need help with this fast! Thank you
Answer:
-3/2
Step-by-step explanation:
slope= rise/run = -60/40 = -6/4 = -3/2
If a piece of luggage has a height of 20.5 inches and a length of 14.75 inches, what is the maximum width
allowed for that piece of luggage?
A)9.75in
B)10.2in
C)10.25in
D)11.8in
The maximum possible width of the box will be equivalent to
w = (V/302.4).
What is the volume of the cuboid?The volume of cuboid is given by -
V{C} = Length x Breadth x Height
Given is a piece of luggage has a height of 20.5 inches and a length of 14.75 inches.
We can write the volume of the box as -
V{b} = L x B x H
Assume the volume of the box is {V} cubic inches and its width be {w} inches. So, we can write the inequality as -
(20.5 x 14.75 x w) = V
w = (V/302.4)
Therefore, the maximum possible width of the box will be equivalent to
w = (V/302.4).
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COLOR THEME
ZOOM
15. Find x. Assume that any segment that appears to be tangent is tangent.
o
60
R
S
o
T т
650
43
155
50
U
O
45
Answer:
Option 4
Step-by-step explanation:
"Angle formed between a secant and a tangent at a point outside a circle is equal to half of the difference of the measure of the intercepted arcs"
By applying this theorem in the figure given in the picture,
m∠RST = [tex]\frac{1}{2}[\text{m(arc TU - m(arc RT))}][/tex]
[tex]x=\frac{1}{2}(155-65)[/tex]
[tex]x=\frac{1}{2}(90^0)[/tex]
[tex]x=45^0[/tex]
Therefore, Option 4 is the correct option.
Mr. Kreppein started the day off with three cups of coffee. He has several meetings to attend today and knows that each meeting will require 2cups of coffee. if his system will allow 35 cups of coffee. wright an equality that he can solve to find how many meetings he can attend.
Answer:
[tex]2x+3 \geq 35[/tex]
x is meetings
Step-by-step explanation:
Marjorie needs to calculate how much water a cylindrical tank will hold. The tank is 9 feet high and has a diameter of 5 feet. Her work is shown below.
V = pi r squared h
Step 1: V = pi (2.5 squared) (9)
Step 2: V = pi (5) (9)
Step 3: V = (3.14) (5) (9)
Step 4: V = 141.3 cubic feet
What error did Marjorie make when calculating the volume of the tank?
In step 1, she substituted into the volume formula incorrectly.
In step 2, she calculated 2.5 squared incorrectly.
In step 3, the she substituted the wrong amount for Pi.
Marjorie correctly calculated the volume of the cylinder.
Answer:
in step 2, she calculated 2.5^2 incorrectly.
Step-by-step explanation:
its right tho
Answer:
b.
Source:
trust me bro
The number of rats living in an abandoned building increases each year. The total number of rats can be described by this sequence: 2, 6, 18, 54, 162, ...
What is the explicit formula?
What is the recursive formula?
Please help with the recursive formula the most if you can!
Answer: The explicit formula for this sequence is given by the expression a_n = 3^n, where n is the position in the sequence (starting from n=1 for the first term).
The recursive formula for this sequence is given by the expression a_n = 3a_(n-1), where n is the position in the sequence (starting from n=1 for the first term) and a_(n-1) is the previous term in the sequence.
Here's how you can use the recursive formula to find the terms of the sequence:
a_1 = 2
a_2 = 3a_1 = 3 * 2 = 6
a_3 = 3a_2 = 3 * 6 = 18
a_4 = 3a_3 = 3 * 18 = 54
a_5 = 3a_4 = 3 * 54 = 162
and so on.
To find the explicit formula, you can try to find a pattern in the terms of the sequence. For example, you might notice that each term is simply the previous term multiplied by 3. This pattern can be expressed using the recursive formula a_n = 3a_(n-1). To find the explicit formula, you can then solve for a_n in terms of n:
a_n = 3a_(n-1)
a_n / 3 = a_(n-1)
a_n / 3 = (3a_(n-2)) / 3
a_n / 3 = 3^(n-2)
a_n = 3^n
Therefore, the explicit formula for this sequence is a_n = 3^n.
Step-by-step explanation:
*HELP PLEASE*
In circle L with measure KNM = 30”, find the angle measure of minor arc KM
A) 15°
B) 90°
C)60°
Answer:
C. 60°
Step-by-step explanation:
Can someone tell me if I’m correct, if not please fix me
Answer:
You are absolutely correct!
Step-by-step explanation:
An inscribed angle in a circle has half the measure of the corresponding arc.
Choose the best answer.
A general guideline for the amount that is withheld for contribution to an employee's pension fund
is
O 6.0%
© 6.5%
O 7.5%
O 7.0%
Answer is 6.5
Answer: Yes, the answer is 6.5%. The percentage of employee's salary that is withheld for contribution to their pension fund can vary depending on the company or organization, but generally it is around 6-7%. 6.5% is a common percentage used by employers as a guideline for the amount that is withheld for the employee's pension fund.
Step-by-step explanation:
Andy and Trevor share 40 sweets in a ratio 11: 9
How many more sweets does Andy receive than Trevor does?
Answer:
Step-by-step explanation:
no
Answer:
22:18
Step-by-step explanation:
In this case, firstly you have to add 11 and 9 together, which makes 20.
Then, 40 ( number of sweets ), divided by 20 gives us 2.
This means that every piece, or block, of our ratio will be 2.
Therefore, the last step is multiplying 11x2 and 9x2.
So, Andy has 22 sweets an Trevor has 18.
help me, please. I can't figure out if this is zero or infinite??
Answer:
it doesn't have any solutions bc the lines are parallel and don't share any points in common. hope this helps!
Solve this equation
18 = n -18
n=
Answer:
n= 36
Step-by-step explanation:
18=n-18 (add 18 to both sides of the equation, 18 and -18 cancel out)
36=n
The solution for n in equation 18 = n - 18 is 36.
To solve the equation 18 = n - 18, we need to isolate the variable n. Here's how:
Start with the equation: 18 = n - 18.
Add 18 to both sides of the equation to move the constant term to the other side: 18 + 18 = n - 18 + 18.
Simplify 36 = n.
Therefore, the solution for n is 36.
By adding 18 to both sides of the equation, we eliminate the -18 on the right side, leaving n isolated on the right side. Thus, the value of n that satisfies the equation is 36.
To check the solution, we substitute n = 36 back into the original equation: 18 = 36 - 18. Simplifying this equation results in 18 = 18, which confirms that n = 36 is indeed the solution to the equation.
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The function f is defined by f(x) = sqrt 25 - x2 for -5\leq x\leq 5. a) Determine the average rate of change of f over the interval --4\leq x\leq 3 b) Find f (prime) (x). c) Write an equation for the line tangent to the graph of f at x= -3. d) Let g be the function defined by g(x) = f(x) for -5\leq x\leq -3 and x+7 for-3\leq x\leq 5. Is g continuous at x= -3? Use the defintion of continuity to explain your answer.
a) The average rate of change of a function over an interval is the change in the function's output (f(b) - f(a)) divided by the change in the function's input (b - a). So, to find the average rate of change of f over the interval -4 <= x <= 3, we can use the formula:
(f(3) - f(-4)) / (3 - (-4)) = (sqrt(25 - 9) - sqrt(25 - 16)) / (3 - (-4)) = (-2sqrt(7) + 4sqrt(3)) / 7
b) To find the derivative of f(x), we need to use the power rule and the chain rule. The power rule states that the derivative of x^n is nx^(n-1), and the chain rule states that the derivative of f(g(x)) is f'(g(x)) * g'(x).
So, the derivative of f(x) = sqrt 25 - x^2 is:
-2x
c) To find the equation of the line tangent to the graph of f at x = -3, we need to use the point-slope form of a line, which is:
y - y1 = m(x - x1)
where m is the slope of the line (which is f'(-3) = -6), (x1, y1) is the point on the graph where the line touches (which is (-3, f(-3)) = (-3, sqrt(25 - 9) = 2sqrt(7))
so we have: y - 2sqrt(7) = -6(x + 3)
d) To check if g(x) is continuous at x = -3, we need to check if the limit of g(x) as x approaches -3 exists and is equal to g(-3).
Since g(x) = f(x) for -5 <= x <= -3 and g(x) = x + 7 for -3 <= x <= 5, we have:
g(-3) = f(-3) = sqrt(25 - 9) = 2sqrt(7)
and the limit of g(x) as x approaches -3 is:
lim x->-3 g(x) = lim x->-3 (x + 7) = -3 + 7 = 4
Since g(-3) = 2sqrt(7) and lim x->-3 g(x) = 4, g(x) is not continuous at x = -3.
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Can y’all help me in the question I just asked please!
Answer: A
Step-by-step explanation: A shows a turkey sandwich with all the types of bread and a ham sandwich with all the types of bread.
Sophia is training for a beverage consumption competition. If Sophia can chug 13 beverages in 1 second, how many could she chug in 2 seconds? Assume the relationship is directly proportional.
Answer:
Sophia could chug 26 beverages in 2 seconds
Step-by-step explanation:
If Sophia can chug 13 beverages in 1 second.
then, For 2 seconds
13 × 2 = 26
Thus, Sophia could chug 26 beverages in 2 seconds
-TheUnknownScientist
write an expression to describe a rule for the sequence. then find the 100th term in the sequence 5 13 21
The expression is 8n – 3; The 100th term is 797
How to calculate the 100th term in sequence?The nth term of an arithmetic sequence is given by:
an=a1+(100-1)d ....[1]
where
a1 is the first term
d is the common difference of two consecutive terms.
n is the number of terms.
Given the sequence:
5, 13, 21, 29, 37, 45, …
This is an arithmetic sequence with first term = 5 and common difference(d) = 8
Since;
13-5 = 8,
21-13 = 8,
29-21 = 8 and so on....
We have to find the 100th term in the sequence
Substitute in [1] we have;
an=a1+(100-1)d
an=5+(n-1)8=5+8n-8 = 8n-3
Substitute the given values and n=100 we have;
a100= 800 - 3 = 797
Therefore, the 100th term in the sequence is, 797 and an expression to describe a rule for the sequence is, 8n – 3;
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(i) Six horses are each given 5 ml spoons of medicine three times each day.
Calculate the number of whole days a 2 L bottle of medicine will last.
Answer:22 days
Step-by-step explanation: since 6days are each given 5ml spoons of medicine three times a day,
Therefore consumption of each day is 90 ml and we have 2000 ml(2litre=2000 ml)
so, 2000/90 = we will get number of days
therefore 22.22 days
Which emplies 22 days.
10. Given that the areas of the two rectangles are equal, calculate the
value of x. What is the area of each rectangle?
Answer:
Hello! answer: x = 3
each rectangle = 48 Hope that helps!
HELP THIS IS URGENT!!!!!!!!!!
Find the percent decrease from 133 to 120. Round your answer to the nearest tenth
PLEASE MARK BRAINLIEST
Find the percent decrease from 133 to 120. Round your answer to the nearest tenth
1. Subtract
133-120= 13
2. Find
13/133 x 100
1300/133
= 9.77443609
3. Round
9.77 rounded is 9.8
Answer: 9.8%
Answer:
9.8 is your answer
the percentage decrease from 133 to 120 is 9.7744
but rounded to the nearest tenth is 9.8
21
Kinza goes on holiday to South Africa.
Kinza wants to change £950 into South African rand.
She wants to get as many 200 rand notes as possible.
The exchange rate is £1 = 18.53 rand.
Work out the greatest number of 200 rand notes that Kinza can get for £950
HELP 50 points :D
1. You have $25 to spend on snacks for movie night with 4 of your friends. If individual boxes of raisins are $1.50, find the amount of money that remains per person for popcorn and a drink.
2. The cost for a town’s soccer league banquet is $960. There are 60 players in the soccer league. Determine the cost per player for the town if each player pays $5 to attend the banquet.
3. To solve the equation 2/3(x−4)=−10, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal.
__/__
4. There are 2 types of tickets to attend an awards dinner—silver and gold. The gold tickets are $8 more than the silver. If Patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket.(1 point)
$___ for each silver ticket and $___ for each gold ticket
5. Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 2 1/2 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.
1. You have $25 to spend on snacks for movie night with 4 of your friends. If individual boxes of raisins are $1.50, find the amount of money that remains per person for popcorn and a drink.
To find the amount of money that remains per person after buying raisins, we first need to find the total cost of the raisins. If 4 boxes of raisins cost $1.50 each, then 4*1.50 = $6 is spent on raisins.
To find the amount of money that remains for popcorn and drinks, we subtract the cost of the raisins from the total amount of money: 25-6 = $19.
Since there are 5 people in total (you and 4 friends), we divide the remaining money by 5 to find the amount per person: 19/5 = $3.80 per person.
How calculate the cost?2. The cost for a town’s soccer league banquet is $960. There are 60 players in the soccer league. Determine the cost per player for the town if each player pays $5 to attend the banquet.
To find the cost per player, we divide the total cost of the banquet by the number of players: 960/60 = $16 per player
3. To solve the equation 2/3(x−4)=−10, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal.
The reciprocal of the fraction 2/3 is 3/2
4. There are 2 types of tickets to attend an awards dinner—silver and gold. The gold tickets are $8 more than the silver. If Patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket.
Let's call the cost of a silver ticket x.
The cost of a gold ticket is x + 8.
We know that Patrick spent 10x + 10(x+8) = $140
We can simplify that: 10x + 10x + 80 = 140
Then we have 20x + 80 = 140
Then we have 20x = 60
And x = 3
Then the price of a silver ticket is $3 and the price of a gold ticket is $3+8 = $11
5. Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 2 1/2 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.
If the original recipe calls for 2 cups of sugar and the changed recipe calls for 2 1/2 cups of flour and sugar combined, then the original recipe calls for 2 1/2 - 2 = 1/2 cup of flour.
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2) You roll one die. What is the probability that you roll a 6?
A) 1/2
B) 1/4
C) 1/6
D) 2/6
Answer: c 1/6
Step-by-step explanation
Becouse it has six numbers so that means that 1 is a factor so taking in every other number the answer should be 1/6
Solve each equation by taking square roots. Show your work. Simplify your answers. Do not write your answers in decimal form.
Step-by-step explanation:
[tex] \sf \hookrightarrow \: {n}^{2} = 20 \\ \sf \hookrightarrow \: \sqrt{ {n}^{2} } = \sqrt{20} \\ \sf \hookrightarrow \: n = \sqrt{20} \\ \star \bf \: n = 2 \sqrt{5} \\ \\ \sf \hookrightarrow \: {a}^{2} = 90 \\ \sf \hookrightarrow \: \sqrt{ {a}^{2} } = \sqrt{90} \\ \sf \hookrightarrow \: a = \sqrt{90} \\ \star \bf \: a = 3 \sqrt{10} [/tex]
Leandro wants to build a one-sample
z
zz interval with
98
%
98%98, percent confidence to estimate the proportion of light bulbs that arrive broken upon shipment to his store. He takes a random sample of
500
500500 bulbs and finds that
25
2525 arrived broken.
Answer:
z ∗ = 2.326
Step-by-step explanation:
The percent of broken bulb will be 5%.
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
He takes a random sample of 500 bulbs.
He finds that 25 bulbs arrived broken.
The percentage of broken bulb will be,
= (25/500) * 100
= 0.05 * 100
= 5%
Thus, 5 percent of bulb are broken.
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Please help me??!!!!!!!!!
Answer:
g(f(x)) means that the x of the g function is the f(x) function, if that makes sense.
so you do 8(x-10)-5
8x-80-5
8x-85
hope that answers your question
Don't hesitate to comment if you don't understand something.
Step-by-step explanation:
For the function f(x)=3x^2-8 what is the average rate of change on the interval from 0 to 10?
Answer:
Average rate of change
=
26.5
Explanation:
Use the slope formula to find average rate of change:
m
=
y
2
−
y
1
x
2
−
x
1
To use the slope formula, you need 2 points on the curve - we only have to x values, so we need to find f(8) and f(10).
f
(
8
)
=
92
f
(
10
)
=
145
These means are points are
(
x
1
,
y
1
)
=
(
8
,
92
)
and
(
x
2
,
y
2
)
=
(
10
,
145
)
.
m
=
145
−
92
10
−
8
m
=
53
2
m
=
26.5
Step-by-step explanation:
The average rate of change on the interval from 0 to 10 is 30
How to determine the average rate of change?The function is given as:
f(x)=3x^2-8
The interval is given as:
0 to 10
Calculate f(0) and f(10)
f(0)=3 *(0)^2 -8
f(0) = -8
f(10)=3 *(10)^2 -8
f(10) = 292
The average rate of change is then calculated as:
Rate = (f(10) - f(0))/(10 - 0)
This gives
Rate = (292 +8 )/(10 - 0)
Evaluate
Rate = 30
Hence, the average rate of change on the interval from 0 to 10 is 30
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Please give me a step by step explanation
Answer:
[tex]108\pi[/tex] or approx. [tex]339.3 m^{2}[/tex]
Step-by-step explanation:
The question asks us to find the total surface area of the given hemisphere. The question gave us the formula for total surface area of a sphere, [tex]SA_{tot} =4\pi r^2[/tex]. But we need it for a hemisphere, so multiply the equation by [tex]\frac{1}{2}[/tex].
[tex]SA} = (\frac{1}{2}) 4\pi r^2[/tex] => [tex]SA} =2\pi r^{2}[/tex]
We also need the area of the base, which is circle. [tex]A_{circle}=\pi r^{2}[/tex].
Now add these equations together to get our equation.
[tex]SA_{tot} =2\pi r^2 +\pi r^{2}[/tex] => [tex]SA_{tot} =3\pi r^2[/tex]
Now we have the proper equation for total surface area of a hemisphere, [tex]SA_{tot} =3\pi r^{2}[/tex]. Plug in the value of [tex]r[/tex] which is given in the problem, [tex]r=6m[/tex].
=> [tex]SA_{tot} =3\pi (6)^{2}[/tex] => [tex]SA_{tot} =3\pi (36)[/tex] => [tex]SA_{tot} =108\pi m^{2}[/tex] or approx. [tex]339.3 m^{2}[/tex]
Which nunber is a factor of the prime factorization of 60?
3
9
15
Answer:
3
Prime factorization:
2^2 × 3 × 5 = 60