L varies directly with the square of Z. L is 12 when Z is 2. Find the value of L when Z is 4.
Answer:
L = 48
Step-by-step explanation:
Given that L varies directly with Z² , then the equation relating them is
L = kZ² ← k is the constant of variation
To find k use the condition L = 12 when Z = 2 , then
12 = k × 2² = 4k ( divide both sides by 4 )
3 = k
L = 3Z² ← equation of variation
When Z = 4 , then
L = 3 × 4² = 3 × 16 = 48
Mary Jane is buying paper plates for her big going away party. The fancy plates come in packs of 8. She is inviting 41 guests. How many packs of plates should Mary Jane buy?
41 guests / 8 plates = 5.125 packs
Since you cant buy .125 of a pack, Mary jane has to purchase 6 packs.
Answer:
6 packsStep-by-step explanation:
41 guests = 5.125 packs
8 plates
5 x 8 = 40 plates
6 x 8 = 48 plates
therefore Mary Jane should buy the 6 packs more than enough for her 41 guests.
Simplify 7(exponent 6) multiplied by 7 (exponent 5)
Answer:
(7x7x7x7x7x7x7)x(7x7x7x7x7)
Step-by-step explanation:
The simplified version of [tex]7^6*7^5[/tex] is [tex]7^{11}[/tex]
The rule of multiplying exponents with like terms is to add the exponents.
If you want the fully simplified answer, its 1977326743
Thank you to whoever can help me with this problem
Answer:
x = 12
Step-by-step explanation:
Step 1: Write out equation and define variables
f(x) = -5x + 1
f(x) = -59
Step 2: Substitute
-59 = -5x + 1
Step 3: Solve
-60 = -5x
12 = x
x = 12
In the early spring, the trout at Big Blue Lake swim at a depth of 30 feet below sea level.
When the lake warms up in the summer, the trout swim 20 feet deeper than that.
At what position relative to sea level do the trout swim in the summer?
Given :
In the early spring, the trout at Big Blue Lake swim at a depth of 30 feet below sea level.
When the lake warms up in the summer, the trout swim 20 feet deeper than that , d = 20 feet .
To Find :
At what position relative to sea level do the trout swim in the summer.
Solution :
Depth in spring from surface , [tex]D_s=30\ feet[/tex] .
Let , depth in summer is D .
Now , depth in summer relative to sea-level is :
[tex]D=D_s+d\\\\D=30+20\ feet\\\\D=50\ feet[/tex]
Therefore , trout swim 50 feet deep below the sea level in the summer .
Hence , this is the required solution .
Answer:
-50
Step-by-step explanation:
bcuz it is
8x-19 = -12x+61 What is x?
Answer:
x is 4
Step-by-step explanation:
Step one: Add 12x to both sides-
8x-19+12x=-12x+61+12x
20x-19=61
Step 2: add 19 to both sides
20x -19+19=61+19
20x=80
Step 3: divide both sides by 20
20x/20=80/20
x=4
If tan 0=3/4 find csc0
Answer:
tanθ = 3/4 p/b
using Pythagoras theorem
H² = P² + b²
H² = 3²+ 4²
H² = 25
H = 5
cosθ = B/H = 4/5
Need help asap hurry please
Answer:
B
Step-by-step explanation:
find the percent increase from 200 to 240
Answer:
20%
Step-by-step explanation:
The percentage change can be found from ...
% change = ((new value)/(reference value) -1) × 100%
= (240/200 -1) × 100%
= 0.20 × 100%
= 20%
240 is an increase of 20% from 200.
When an exponent is a negative number, we can think of it as taking the...?
Answer:
We can think of it as the zeros after the decimal point.
Step-by-step explanation:
Negative exponents always move the number to the right putting the decimal in front of it.
Which of the following ordered pairs lies on the graph of h(x) = -2x2?
(1,-4)
:) Hope this helps and have a wonderful day!`
(4a - 6) (30-26 +5)
Answer:
36a-54
Step-by-step explanation:
(4a - 6) (30-26 +5)
(4a - 6) (9)
36a-54
plz mark as brainliest if it helps
8^10 ÷ 8^5 = 8^2 true false
Answer: I think the answer is false
Answer:
the correct answer is true
Step-by-step explanation:
what is f(7) for the rule of f(x)=-5x+10
Answer:
f(7) = - 25
Step-by-step explanation:
To evaluate f(7) substitute x = 7 into f(x), that is
f(7) = - 5(7) + 10 = - 35 + 10 = - 25
Simplify the following expression by combining like terms 5x^2 + 6x - 3 + 4x^2 + - 8x +2
Pls help Plz help PLZ help
Answer:
Step-by-step explanation:
E=9x-38
F=2x+40
9x+2x+2=90
11x=90-2
11x=88
x=88/11=8
F=2*8+40
16+40
=56
Atomic number tells you the number of ______________ contained in the nucleus of an atom. Which is always equal to the number of _____________ in an atom.
Answer:
The atomic number is equal to the number of protons in an atom
The atomic number tells you the number of protons in one atom of an element. It also tells you the number of electrons in a neutral atom of that element. The atomic number gives the “identity “of an element as well as its location on the Periodic Table.
Step-by-step explanation:
The atomic number is the number of protons in an atom of an element. For example, krypton's atomic number is 36. This tells us that an atom of krypton has 36 protons in its nucleus.
The atomic number tells you the number of protons contained in the nucleus of an atom. Which is always equal to the number of electrons in an atom.
What is an atom?An atom is the smallest possible unit of a chemical element.
There are protons and neutrons in the nucleus of an atom, and electrons outside the nucleus.
The atomic number indicates the number of protons or the number of electrons.
Therefore, Atomic number tells you the number of protons contained in the nucleus of an atom. Which is always equal to the number of electrons in an atom.
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If 4 tickets to a show cost$9.00, find the cost of 14 tickets.
Answer:
Step-by-step explanation:
Answer:
31.50 for 14 tickets
Step-by-step explanation:
We can use ratios to solve
4 tickets 14 tickets
-------------- = --------------------
9 dollars x dollars
Using cross products
4x = 9*14
4x =126
Divide each side by 4
4x/4 = 126/4
x =31.50
The population of a small town is increasing at a rate of 325 people per year. Write and solve a multiplication equation to find how long it will take the population to increase by 6, 825
Answer:
21 years
Step-by-step explanation:
For this problem, you only need to divide 6,825 by 325.
6,825/325=21
21 years
A plumber charges $17 to visit a client's home, plus an additional $36 per hour. What is the
duration, in hours, of a plumber's visit that costs $89?
Answer:
I believe the duration for $89.00 is 2 hours
Step-by-step explanation:
We start off with the $17 dollars and calculate 36.00+36.00 for a total of $89. Therefore, (120 mins)/60=2 hours.
Because this is a linear problem, I'd use the slope-intercept formula:
[tex]y = mx + b[/tex]
where
m = slope (rise/run)
y = dependent value
x = independent value
b = constant value
Because the plumber charges $17 upon arrival, it is our constant. The $36 is our slope (per hour, per minute, per etc. is generally a give away). Additionally because the total cost of the plumber's visit depends on how long s/he stays at a client's home, the $89 is our y value. Therefore the equation should look like this:
[tex]89 = 36x + 17[/tex]
Solve for x by subtracting 17 from both sides of the equation then dividing by 36.
[tex]72 = 36x[/tex]
[tex]2 = x[/tex]
The plumber spent two hours at his/her client's home.
whatssssssssssssss divied 3/7 and 2/3
Answer:
9/14
Step-by-step explanation:
3/7÷2/3=?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
3/7×3/2=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
3×3
7×2= 914
This fraction cannot be reduced.
Therefore:
3/7÷2/3=9/14
Answer:
9/14
Step-by-step explanation:
3/7 ÷ 2/3= 9/14
To divide a fraction, you have to flip the second fraction and multiply.
3/7 × 3/2 = 9/14
9/14 is in simplest form.
What is the mode of these numbers? 2, 5, 10, 16, 25, 30 Thanks! (will give brainliest)
Answer:
There is no mode for the given sets of data.
Step-by-step explanation:
The values given all appear once and mode is the number that appears the most in a given set of data.
Answer:
it's none cause all of them show the same number of times.
Step-by-step explanation:
Mode is asking what number out of all the numbers shows the most.
(1/4)^-3/2. The topic is indices.
Answer:
8
Step-by-step explanation:
The minus turns the base upside down
(1/4)^-3/2 = 4^(3/2)
The square root of 4 is 2
2^3 = 8
So the answer is 8.
17. The volleyball club is raising money for a
new net and equipment. They need $842.36 to
purchase the swing set and have received a
$300.00 donation. The remaining amount will
be equally divided among 4 different
fundraisers throughout the summer. How
much money will each fundraiser need to raise
in order to purchase the new net and
equipment?
$2,169.44
$542.36
0 $135.59
O $210.59
The money will each fundraiser need to raise in order to purchase the new net and equipment is $135.59. Therefore, option C is the correct answer.
Given that, the volleyball club need $842.36 to purchase the swing set and have received a $300.00 donation.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the money will each fundraiser need to raise in order to purchase the new net and equipment be x.
Now, the remaining amount = 842.36 - 300.00
= $542.36
The remaining amount will be equally divided among 4 different fundraisers = x = 542.36/4
=135.59
The money will each fundraiser need to raise in order to purchase the new net and equipment is $135.59. Therefore, option C is the correct answer.
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Which of the following could be in section D? A.√99 B.60/15 C.-20 D.9.2
Answer:
A. and B.
Step-by-step explanation:
A natural number by definition is a number that spans from 1 to 100 it can't have decimals or negative numbers.
A. Natural number, the square root of 99 is 11 which is in the span of 1 to 100.
B. includes a natural number when you divide 60/15 you get 4 which is in the span of 1 to 100.
C. Incorrect, includes a negative number so it's not a natural number.
D. Not a natural number it includes decimals.
3y - 9/ < 27?
it’s algebra 2
Answer:
3y-9∫∠27
3y∫∠27-9
3y∫19-1
3y∫19-1
=6
Write and real-world problem that could be represented by the inequality below:
x+ 655 < 5x + 600
Answer:
Tiffany has a number of skittles plus 655 watermelon sour patch kids. Compared to Jake, Jake has 5 times more skittles than Tiffany, plus 600 watermelon sour patch kids. Write an inequality to represent this scenario.
I hope this helped! :) If it was correct for your question please give me brainliest!
An amusement park charges $12 for admission and $1.50 per ride r. Jeremy goes to the park with $42,
The equation that represents this situation is 12 + 1,50r = 42. Determine how many rides r Jeremy can
go on.
Answer:
12+ 1.50r = 42
1.50r = 42-12
1.5r = 30
r= 30/1.5 = 20
Step-by-step explanation:
are u a freak(math wise)
Answer:
nope
Step-by-step explanation:
because i am dumb
-7y + 3 – 12 – 2y
What is the answer