Answer:
141 cubic inches
Step-by-step explanation:
The candle can be modeled as a cylinder.
To find how much wax is needed to make the candle, calculate the volume of the cylinder.
[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
r = 3 inh = 5 inπ = 3.14Substitute the given values into the formula and solve for V:
[tex]\implies \sf V=3.14 \cdot 3^2 \cdot 5[/tex]
[tex]\implies \sf V=3.14 \cdot 9 \cdot 5[/tex]
[tex]\implies \sf V=28.26 \cdot 5[/tex]
[tex]\implies \sf V=141.3\:in^3[/tex]
Therefore, the amount of wax needed to make the candle is 141 cubic inches (nearest whole cubic inch).
Galaxy Star Corporation purchased goods for $100,000 from Sunrise
Materials. Galaxy Star Corporation can avail a discount of 2.5% if the
payment is made within 20 days. However, the full payment will be made
if the payment is made after 20 days.
If Galaxy Star Corporation pays within 20 days, which of the
following entries will it pass?
The entry that it will pass on the accounting book based on the information about Galaxy Star Corporation is the credit sales.
What is a credit sale?It should be noted that credit sales are the sales where the amount that is owed will be paid at alter date.
From the information given, we were informed that the payment will be made after 20 days. Therefore, the appropriate entry will be in town credit sales.
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\texttt{Yes, there's a local maximum at -9,} [/tex] [tex] \texttt{and it is 9} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
By Observing the graph, we can easily conclude that there's a local maxima at -9
[tex] \textsf{And f(-9) = 9} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
x2 +kx+12
What are two numbers that k could be so that each expression could be factored??
Answer:
K could be 7 or 8
Step-by-step explanation:
If K was to be 7, the equation would be x^2 + 7x + 12 = (x+3)(x+4)
If K was to be 8, the equation would be x^2 + 8x + 12 = (x + 2)(x + 6)
Question Content Area
If fixed costs are $281,000, the unit selling price is $33, and the unit variable costs are $21, the break-even sales (units) if fixed costs are reduced by $38,400 is
a.16,173 units
b.20,217 units
c.24,260 units
d.30,325 units
The correct answer is option b which is the break-even quantity will be 20217 units.
What is the break-even point?
The point at which the company will not have any profit and loss on the products they manufactured they only get the amount they invested in manufacturing the product is called the break-even point.
Given that:-
If fixed costs are $281,000, the unit selling price is $33, and the unit variable costs are $21, the break-even sales (units) if fixed costs are reduced by $38,400.
The formula for calculating break-even quantity will be given as:-
[tex]BEQ = \dfrac{FC}{SP-VC}[/tex]
Here,
FC = Fixed cost = $281000
SP = Selling price = $33
VC = Variable cost = $21
The fixed cost is reduced by $38400 so the fixed cost now:-
FC = $281000 - $38400
FC = $242600
[tex]BEQ = \dfrac{242600}{33-21}[/tex]
BEQ = 20217 units
Therefore the correct answer is option b which is the break-even quantity will be 20217 units.
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can someone please help me
Part 1
f(2) represents the value of y when x=2, which is 3
Part 2
We need to find the value of x that makes y=2, which is -1
what is the formula for equations.
A formula is a fact or rule that uses mathematical symbols. It will usually have: an equals sign (=) two or more variables (x, y, etc) that stand in for values we don't know yet.
Example: The formula for finding the volume of a box is:
x = 2y - 7 Formula (relating x and y)
a2 + b2 = c2 Formula (relating a, b and c)
Randy invested $850 in a regular savings account that paid compound interest at a rate of 3.75% per year, compounded quarterly. How much
was his investment worth in three years? a.$881.88 b.$950.71 c.$100.71 d.$95.63 e. $945.63
Answer:
the answer is a.
Step-by-step explanation:
A graph titled Janelle's Trip Home. The horizontal axis shows time (minutes) and the vertical axis shows distance from her home (miles). The line shows a decrease as time increases, a constant as time increases, and then another decrease as time continues.
Based on the graph, which statement could describe Janelle’s trip home from school?
Janelle waited for the bus, rode the bus, and then walked home.
Janelle walked the opposite direction from home to the library, rode the bus, and then walked to a friend’s house.
Janelle walked home at a constant speed.
Janelle rode the bus to the bus stop, talked with a friend, and then walked home.
Janelle rode the bus to the bus stop, talked with a friend, and then walked home , Option D is the correct answer.
The missing graph is attached with the answer.
What is a Time -Distance Graph ?A graph which shows change in distance with respect to time is called Time- Distance Graph.
It is used to calculate velocity.
As in the graph we it can be seen that , The distance is decreasing at a constant speed ,
then the distance becomes constant with time
and then again decreases but with a lower rate
This means
Janelle rode the bus to the bus stop (distance to time rate is high)
talked with a friend (distance is constant with time)
and then walked home. (distance to time rate is low)
Therefore Option D is the correct answer.
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Answer:
Janelle rode the bus to the bus stop, talked with a friend, and then walked home.
Step-by-step explanation:
i need help can someone give me answers
Answer:
Step-by-step explanation:6 type
5/25=1/5=20%
1-1/5=4/5=80%
The types of candles are 6. And the probability of a small pink candle and NOT a small pink candle will be 0.20 and 0.80, respectively
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
The table is given below.
Small Medium Large Total
White 9 3 5 17
Pink 5 2 1 8
Total 14 5 6 25
The types of candles are given as,
⇒ 2 x 3
⇒ 6
The probability of a small pink candle is as,
P = 5/25
P = 0.20
The probability of NOT a small pink candle is as,
Q = 1 - P
Q = 1 - 0.20
Q = 0.80
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d) Suppose you pick one marble from the bag at random. Find the expected value of its number.
(c) Suppose you pick 9 marbles from the bag at random with replacement. Find the probability that you pick at least one purple marble.
C) The probability that you pick at least one purple marble is 98%.
ProbabilityThe question is incomplete, since the number of marbles of each color in the bag is missing: 3 blue, 5 green, and 2 purple marbles.
Now, to answer the questions, the following calculations must be done:
C) 100 - (2/9x9) = X100 - 2 = X98 = XLearn more about probability in brainly.com/question/27656131
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Answer:C) The probability that you pick at least one purple marble is 98%.
Step-by-step explanation:
HELP QUICK PLEASE WILL GOVE BRAINLEOCMWdiowemforewmfo
Answer:
It's choice G or H
Step-by-step explanation:
The cube and the disc are representative of the variable r and a 1 (a single unit) The question says "Using the representations above..." Hopefully right before this question it tells you (above) which is the variable and which is the single unit.
The left and right sides of the balance are going to represent the left and right sides of the equation, with the = equal sign being the middle.
The 2 on the left side and the 18 on the right side will need to have the same image representing it on both sides (2 on the left, 18 on the right) because they are both numerical values. Then, there should also be one shape on the left that stands for the variable. Without seeing the info that preceded the question, it is either Answer G or Answer H. Edit in the additional info. I will be able to say exactly which one. But I bet you can see it!
Calcula el valor del lado "c" en el triángulo
rectángulo, que se proporciona en la figura;
aplicando las funciones trigonométricas:
Usando relaciones en un triángulo rectángulo, se encuentra que el valor del lado c es c = 35.5 unidades.
¿Cuáles son las relaciones en un triángulo rectángulo?Las relaciones en un triángulo rectángulo se dan de la siguiente manera:
El seno de un ángulo está dado por la longitud del lado opuesto al ángulo dividida por la longitud de la hipotenusa.El coseno de un ángulo está dado por la longitud del lado adyacente al ángulo dividido por la longitud de la hipotenusa.La tangente de un ángulo está dada por la longitud del lado opuesto al ángulo dividida por la longitud del lado adyacente al ángulo.El lado opuesto de el ángulo de 26º48' = 26.8º es de 16, de esa forma, puede-se encontrar el lado c de la siguiente manera:
[tex]\sin{(26.8^\circ)} = \frac{16}{c}[/tex]
[tex]c = \frac{16}{\sin{(26.8^\circ)}}[/tex]
c = 35.5º.
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Leah wants to buy a home for
$380,000, but can only get a loan from the bank for $330,600. What percentage does Leah have to put down in order to pay for the home?
Leah have to put down 13% of the total money in order to pay for the home.
What is a Home Loan ?The amount of money a person borrows from a bank to buy a house is termed as Home Loan.
It is given that
Leah wants to buy a home for $380,000
The amount of money he can get from bank is $ 330,600
The amount of money Leah needs to have
= $ 380000 - $ 330600 = $49400
The percentage Leah have to put down in order to pay for the home is
=($49400 /$380000 ) * 100%
= 0.13 * 100 %
= 13%
Therefore Leah have to put down 13% of the total money in order to pay for the home.
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What is the length of the line?
Janet is fencing a triangular portion of her yard, which has measurements as shown. She needs fencing for the two sides of the yard that do not include the house. She also needs fencing for the third side of the yard, except for the portion taken up by the house.
The picture shows a rectangle touching the base of a triangle. The width of a rectangle is 100 ft. The angle of the left and right vertex of a triangle is 45 degrees. The length of the left line of a triangle is 100 ft. marked as a house
What is the approximate length of fencing she needs?
A.
441 ft
B.
273 ft
C.
341 ft
D.
241 ft
The approximate length of fencing she needs will be 41.42 feet. Then the correct option is D.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Janet is fencing a triangular portion of her yard, which has measurements as shown.
She postulates fencing for the two sides of the yard that do not include the house.
She also requires fencing for the third side of the yard, except for the portion taken up by the house.
Then the approximate length of fencing she needs will be
Let x be the length of fencing.
Then we have
⇒ x + 100 + 100
Then we have
x = c – 100
Then the value of c is given by the Pythagoras theorem. Then we have
c² = 100² + 100²
c² = 10000 + 10000
c² = 20000
c = 141.42 ft
Then the value of x will be
x = 141.42 – 100
x = 41.2 feet ≈ 41 feet
Then we have
⇒ 41 + 100 + 100
⇒ 241
Then the correct option is D.
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If Jenny walks 2 miles in 40 minutes, then Jenny will walk how far in 100
minutes if she walks at the same speed the whole time? If necessary, round
your answer to the nearest tenth of a mile.
Answer:
Five miles
Step-by-step explanation:
if 2=40 then 1=20 so 5=100
5.7y-5.2=y/2.5 how to solve
5.7y-5.2=y/2.5
Add 5.2 to both sides:
5.7y = y/2.5 + 5.2
y/2.5 = 0.4y
5.7y = 0.4y + 5.2
Subtract 0.4y from both sides:
5.3y = 5.2
Divide both sides by 5.3:
y = 5.2/5.3
y = 0.98113
Answer:
y = 0.981
Step-by-step explanation:
Given expression:
5.7y-5.2=y/2.5Solution:
5.7y-5.2=0.4ySubtract 0.4y from both sides:
5.7y-5.2-0.4y=0.4y-0.4y5.3y - 5.2 = 0Add 5.2 to both sides:
5.3y-5.2+5.2 = 0+5.25.3y = 5.2Divide both sides by 5.3:
[tex] \cfrac{5.3y}{5.3} = \cfrac{5.2}{5.3} [/tex][tex]y = 0.981[/tex]Hence, y = 0.981.
What are the possible values of xin 8x² + 4x=-1?
Answer:
hey
Step-by-step explanation:
4
Answer:
(-½,0)
Step-by-step explanation:
please mark me brainliest
12, 3.1.52
If f(x) = x and g(x) = 2x³, find f[g(x)], and g[f(x)]
Given that [tex]f(x) = x[/tex] and [tex]g(x) = 2x^3[/tex], we have
[tex]f(g(x)) = f(2x^3) = 2x^3[/tex]
and
[tex]g(f(x)) = g(x) = 2x^3[/tex]
Which expression is equivalent to...
Step-by-step explanation:
hope you can understand
Find the time diffrence.
If u click there will be pic (very easy im just lazy lol)
Step-by-step explanation:
2 hours and 45 minutes.
8:45am + 2 hours = 10:45am
10:45am + 45 minutes = 11:30 am
Which of the following polynomials is in standard form?
A. F(x)=-3x+6x²-1+7x
B. F(x)=7x+6x² -1-3x4
C. F(x)=-3x4 -1+6x² +7x
D. F(x)=-3x +6x² +7x-1
Answer:
d
Step-by-step explanation:
3. How many more paintings,
sculptures, and photographs would
the artist need to sell to make
another $500?
answer
Step-by-step explanation:
there are only one
painting, sculpture and photograph.
The function G is defined by g (X) =X^2+2
Find g(4n)
Answer:
the answer is 4gn Puig IT in
I need this asap. Would appreciate for y’all help
Answer:
-3/2, -1
Step-by-step explanation:
Each coordinate contains one [tex]x[/tex] value and one [tex]y[/tex] value, [tex](x,y)[/tex].
If we work out the midpoint of each of these individually, it makes it much easier to find the midpoint of the line.
Let's take the [tex]x[/tex] values first. Our first [tex]x[/tex] value is -4 and our second [tex]x[/tex] value is 1. Imagine the integers between -4 and 1 laid out in a sequence:
[tex]-4, -3, -2, -1, 0, 1[/tex]
If you take the middle value of this sequence, you get the midpoint of the [tex]x[/tex] values.
In this case, the middle is between values -2 and -1, leaving us with a midpoint of -1.5. This as a fraction is [tex]-\frac{3}{2}[/tex].
Now let's look at the [tex]y[/tex] values. Our first [tex]y[/tex] value is 2 and our second [tex]y[/tex] value is -4. Again, let's imagine those numbers laid out in a sequence:
[tex]2, 1, 0, -1, -2, -3, -4[/tex]
Here, the middle of these values is -1, and this is the midpoint of the [tex]y[/tex] values.
So if we put these two values in a coordinate, we get the midpoint of the line.
In this case, we get [tex](-\frac{3}{2} ,-1)[/tex].
A camper lights an oil lantern at 12 noon and lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant rate each hour. At 2 p.m., the amount of oil left in
the lantern is 63 ounces. At 5 p.m., the amount of oil left in the lantern is 61 ounces.
Based on the average rate of oil burning per hour, how much oil, in ounces, was in the
lantern at 12 noon?
SHOW WORK!
Answer:
09
Step-by-step explanation:
09
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The rate at which the oil burns.
1 hour = 2/3 ounce
At 12 noon = 193/3 = 64.33 ounces
At 2 pm = 63 ounces
At 5 pm = 61 ounces
The amount of oil at 12 noon is 64.33 ounces.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
A camper lights an oil lantern at 12 noon and lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant rate each hour.
At 2 p.m., the amount of oil left in the lantern is 63 ounces.
At 5 p.m., the amount of oil left in the lantern is 61 ounces.
This means,
Amount of oil burnt in the lantern from 2 pm to 5 pm.
= 63 ounces - 61 ounces
= 2 ounces
Now,
3 hours = 2 ounces
2 hours = 1.33 ounces
1 hour = 0.67 ounces
Now,
The number of hours from 12 noon to 2 pm.
= 2 hours
So,
The amount of oil at 12 noon.
= 63 + 4/3
= (189 + 4) / 3
= 193/3 ounces
Thus,
The amount of oil at 12 noon is 65 ounces.
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For the inverse variation equation p = 8/v , what is the value of V when p = 1/2?
Substituting in p = 1/2,
[tex]\frac{1}{2}=\frac{8}{v}\\ \\ v=\boxed{16}[/tex]
What is the probability if a penny lands on heads 30 times after being tossed 50 times?
The probability will be equal to 60%.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The best thing to do here is to put it into a fraction. as 30 landed heads up, 20 (50-30) must be tails.
You can then put this into a fraction, which becomes 20/50.
To turn this into a decimal, you can then divide 1 by 50
1/50= 0.02
As you've got 22 lots of this, you then need to multiply 0.02 by 20.
0.2x20= 0.40
To find the percentage, you've then got to multiply the decimal by 100.
100x0.40= 40.
Therefore, 40% of the tosses would be tails
As you've found what one percentage is, you simply need to take this number away from 100 to find the other, rather than having to go through the process again.
100-40= 60
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An equation is shown below:
6(3x − 7) = 2
Which of the following correctly shows the beginning steps to solve this equation?
Step 1: 9x − 1 = 2
Step 2: 9x = 3
Step 1: 9x − 7 = 2
Step 2: 9x = 9
Step 1: 18x − 7 = 2
Step 2: 18x = 9
Step 1: 18x − 42 = 2
Step 2: 18x = 44
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex] \texttt{Step 1: 18x − 42 = 2} [/tex][tex] \texttt{Step 2: 18x = 44 } [/tex]____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: 6(3x - 7) = 2[/tex]
Step 1 -
[tex]\qquad \tt \rightarrow \: 18x - 42 = 2[/tex]
[ distributive property ]
Step 2 -
[tex]\qquad \tt \rightarrow \: 18x = 2 + 42[/tex]
[tex]\qquad \tt \rightarrow \: 18x = 44[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer:
d) Step 1: 18x - 42 = 2
Step 2: 18x = 44
Step-by-step explanation:
Given equation,
→ 6(3x - 7) = 2
Now the value of x will be,
→ 6(3x - 7) = 2
→ 6(3x) - 6(7) = 2
→ 18x - 42 = 2
→ 18x = 2 + 42
→ 18x = 44
→ x = 44/18
→ [ x = 22/9 ]
Hence, value of x is 22/9.
Name the marked angle in 2 different ways.
W
T
V
U
The marked angle can be named in two different ways as: ∠HFG and ∠GFH.
How to Name an Angle?To name an angle, the letter representing the vertex would always be at the middle.
Given the angle marked in the image below, where F is the vertex, we can name the marked angle in two different ways with F at the center as:
∠HFG and ∠GFH
Thus, the two different ways to name the marked angle are:
∠HFG and ∠GFH.
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