To find the volume of a rectangular prism, we can use the following formula:
[tex]V=lwh[/tex]
l = lengthw = widthh = heightConverting between mL and L1000 mL = 1 L
Solving the QuestionWe're given:
Fish tank measurements: 75 cm by 45 cm by 35 cmJug capacity = 1.75 LTo solve this question, we could follow these steps:
Find the volume of the tankDivide the volume of the tank by the jug capacityFind the volume of the tank
[tex]V=lwh[/tex]
⇒ Plug in the measurements: 75 cm by 45 cm by 35 cm
[tex]V=75*45*35\\V=118125[/tex]
Divide the volume of the tank by the capacity of the jug
There is a relationship between cm³ and mL, not cm³ and L. Convert the 1.75 L for the jug capacity to mL:
1.75 × 1000
= 1750
118125 ÷ 1750
= 67.5
AnswerIt takes 68 full jugs of water to fill the tank.
Please help me with this problem
Evaluate (-½·3)³
Answer: -27/8
Step-by-step explanation:
[tex]\left(-\frac{1}{2}\cdot \:3\right)^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]
[tex]\left(-\frac{1}{2}\cdot \:3\right)^3=-\left(\frac{1}{2}\cdot \:3\right)^3[/tex]
[tex]=-\left(\frac{1}{2}\cdot \:3\right)^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n[/tex]
[tex]\left(\frac{1}{2}\cdot \:3\right)^3=\left(\frac{1}{2}\right)^3\cdot \:3^3[/tex]
[tex]=-\left(\frac{1}{2}\right)^3\cdot \:3^3[/tex]
[tex]=-\frac{1}{8}\cdot \:3^3[/tex]
[tex]=-\frac{1}{8}\cdot \:27[/tex]
[tex]=-\frac{27}{8}[/tex]
i need help cause is due at 11:59 est
Answer:
Matt used diameter of the ball instead of Radius
Step-by-step explanation:
The volume of a sphere is given as:
4/3πr³⇒ Matt made an error in his calculation by failing to covert the value of the diameter given to Radius.
⇒ By dividing the diameter by 2 = 15 / 2 = 7.5, we obtain the Radius, which is what Billy did in her own calculation.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER PLEASE
Answer:
3.0625[tex]\pi[/tex] ft^2
Step-by-step explanation:
A=[tex]\pi[/tex]r^2
A=[tex]\pi[/tex]1.75^2
A=3.0625[tex]\pi[/tex]
3.0625[tex]\pi[/tex] ft^2
when each edge of a cube is decreased by 1 cm, its volume is decreased by 91 cm^3 .Find the length of the a side of the original cube.
Step-by-step explanation:
the original side length is x.
the volume of a block is length × width × height.
so, for a cube with all sides being equal, the volume in our case is x³ (x × x × x).
now, with the same formula but with every side shortened by 1 cm we get
(x-1)(x-1)(x-1) = x³ - 91 (the original volume minus 91)
now, we have to do the multiplications.
(x-1)(x-1) = x² - 2x + 1
(x²-2x+1)(x-1) = x³ - x² - 2x² + 2x + x - 1 = x³ -3x² + 3x -1
x³ - 3x² + 3x - 1 = x³ - 91
-3x² + 3x = -90
-x² + x = -30
x² - x = 30
x² - x - 30 = 0
the general solution to such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -1
c = -30
x = (1 ± sqrt((-1)² - 4×1×-30))/(2×1) =
= (1 ± sqrt(1 + 120))/2 = (1 ± sqrt(121))/2 =
= (1 ± 11)/2
x1 = (1 + 11)/2 = 12/2 = 6
x2 = (1 - 11)/2 = -10/2 = -5
a negative number does not make any sense for a side length, so our solution is x = 6 cm.
the original side length of the cube is 6 cm.
to check :
6³ = 216
(6-1)³ = 5³ = 125
216 - 125 = 91
perfect.
Please help! will give brainlest! locks in 30 min!
Answer:
LAST CHOICE IS THE ANSWER.Step-by-step explanation:
#BRAINLIESTBUNCHAnswer:
[tex]-\sqrt{3}[/tex]
Step-by-step explanation:
tan (θ) = [tex]-\frac{\sqrt{3} }{2}[/tex] ÷ [tex]\frac{1}{2}[/tex]
tan (θ) = [tex]-\sqrt{3}[/tex]
hope this helps and is right!! p.s. i really need brainliest :)
Approximately how many grams of radium will remain after 4 grams have decayed for 2400 years
Answer:
1.4
Step-by-step explanation:
The space shuttle carries c pounds of cargo, and each piece of cargo weighs 212.66 pounds. Which of the following expressions represents the number of pieces of cargo?
Answer:
The answer would be B. c ÷ 158.14
Step-by-step explanation:
i just took this test :) the question was:
The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds. Which of the following expressions represents the number of pieces of cargo The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds? Which of the following expressions represents the number of pieces of cargo?
A. c × 158.14
B. c ÷ 158.14
C. c - 158.14
D. c + 158.14
help pls first correct answer gets brainleist
Answer:
18
Step-by-step explanation:
a^2 + b^2 = c^2
in this case 24 is a and 30 is c
24^2 = 576
30^2 = 900
900 - 576 = 324
the square root of 324 is 18
Does the budgeted amount cover the actual amount for expenses, savings, and emergencies?
A)
No, it's short $207.00,
No, it's short $227,00,
o
Yes, there's a surplus of $207.000
D)
Yes, there's a surplus of $227.00,
Answer:
No its short 207
Step-by-step explanation:
Took the test on UsaTestPrep got it right :)
Bye loves <3
Answer:
the one b4 is wrong its a surplus of 207 .-.
Step-by-step explanation:
this is correct usatestprep also lol
The Furnace Creek Airport in Death Valley, California, has an elevation of 64 meters below sea level. The lowest point in New Orleans, Louisiana, has an elevation of -2 meters. What is the difference between the elevation in New Orleans and the elevation at the Furnace Creek Airport?
Answer:66 meters
Step-by-step explanation:
just change the negative to a positive and add them together. It would be 66.
help i’ll mark brainlist
Factor completely 2x2 − 2x − 40. 2(x − 5)(x 4) (2x − 10)(x 4) (x − 5)(2x 8) 2(x − 4)(x 5).
The factor the given polynomial are 2,(x+4),(x-5).
We have given that the equation,
[tex]2x^2 -2x -40[/tex]
What is the meaning factor?Factoring a polynomial is expressing the polynomial as a product of two or more factors.
We can factor out a 2.
[tex]2(x^2 - x - 20)[/tex]
Now, we can write down the 2 and factor the [tex](x^2 - x - 20)[/tex].
[tex](x^2-x - 20)=x^2-5x+4x-20\\ =x(x-5)+4(x-5)\\ =(x+4)(x-5)[/tex]
[tex]f(x)=2x^2 -2x -40=2(x^2 - x - 20)=2(x+4)(x-5)[/tex]
Therefore, the factor the given polynomial are 2,(x+4),(x-5).
To learn more about the factor visit:
https://brainly.com/question/25829061
Need help with solving for X
Answer:
[tex]\huge\boxed{\sf x = 10}[/tex]
Step-by-step explanation:
Since the two angles are complementary angles, the measures of these angles add up to 90 degrees.
5x + 25 + x + 5 = 90
5x + x + 25 + 5 = 90
6x + 30 = 90
Subtract 30 to both sides
6x = 90 - 30
6x = 60
Divide 6 to both sides
x = 60 / 6
x = 10
[tex]\rule[225]{225}{2}[/tex]
PLS HELP I'LL MARK BRAINLIEST
Answer:
Domain: (-∞, -5) ∪ (-1, ∞)
Step-by-step explanation:
Note:
For f(x) > 0: See the points of x for which the graph of f(x) lies above the x-axis.
For f(x) < 0: See the points of x for which the graph of f(x) lies below the x-axis.
We need to find the domain of f(x) for which f(x) < 0
From the graph, we can tell:
f(x) < 0 on (-∞, -5) ∪ (-1, ∞)
Therefore: The domain on which the given graph f(x) is negative, is (-∞, -5) ∪ (-1, ∞)
Question 2 (Multiple Choice Worth 1 points)
(04.02 MC)
3
What is the y-intercept of the line perpendicular to the line y = - x + 5 that includes the point (-3,-3)?
4
O
Aiw
4
01
07
O
21
4
Answer:
y- intercept = 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{3}{4}[/tex] x + 5 ← is in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , then equation of perpendicular line is
y = [tex]\frac{4}{3}[/tex] x + c
to find c substitute (- 3, - 3 ) into the equation
- 3 = - 4 + c ⇒ c = - 3 + 4 = 1
that is the y- intercept of the perpendicular line is c = 1
The owners of cami's carnival kept track of how many visitors they had each day last summer. this box plot shows the results. carnival visitors 50 70 90 110 130 150 what fraction of the days did the carnival have 70 or fewer visitors?
Answer: 1/3
Step-by-step explanation: 50, and 90, 2/6 reduces to 1/3.................2 pp ignore the 2 and p I'm in mobile
The accompanying table shows the number of bacteria present in a certain culture
over a 5 hour period, where x is the time, in hours, and y is the number of
bacteria. Write an exponential regression equation for this set of data, rounding all
coefficients to the nearest hundredth. Using this equation, determine the number o
bacteria present after 13 hours, to the nearest whole number.
Hours (x) Bacteria (y)
0 1892
1
2106
2
2
2342
3
2525
4
2819
4
5
5
3042
The general form of the exponential regression equation that models the number of bacteria is y = ab^x
The exponential regression equation is y = 1910.38 * 1.1^x
How to determine the exponential regression equation?The dataset is given as:
x y
0 1892
1 2106
2 2342
3 2525
4 2819
5 3042
To determine the exponential regression equation, we make use of a graphing calculator.
From the graphing calculator, we have the following calculation summary
a = 1910.38
b = 1.10
An exponential regression equation is represented as:
y = ab^x
So, we have:
y = 1910.38 * 1.1^x
Hence, the exponential regression equation is y = 1910.38 * 1.1^x
Read more about regression equations at:
https://brainly.com/question/732489
Find two integers having a product of positive 27 and a sum of negative 12.
I know you're looking for an answer but i'm doing a challenge where i have to answer 10 questions by the end of today, I'm sorry! :(
pls help me with this
Answer: A)72.8067226km/hr (final asnwer)
b) volume of a cube= a^3 (sides^3) =4.5^3= 91.125 cm^3 (final asnwer)
c) 1 day cost= $(35.9 +11.55 + 35) =$82.45
therefore for 5 days= $82.45 * (multiplied) by 5 = $412.25 (final asnwer)
Step-by-step explanation:
Answer:
(a)≈72.8 kilometer per hour
(b)91.125 cm^3
(c)272.25$
Step-by-step explanation:
(a)speed=mile/hour
=371mile/8.2hours
=371×1.609kilometers/8.2hours
≈72.8 kilometer per hour
(b)the vol: of cube= a^3 (a=side)
=(4.5)^3
=91.125cm^3
(c) for 5 days, (35.9×5)+(11.55×5)+35 ($35 is ofor one-off charge so there is no need to multiply with 5)
=272.25$
Question 6
Luna mixes 2 cup of orange juice with a cup of cranberry juice. She gives
cup of the juice to Mags. How much is left in Luna's glass?
Answer:
nothing
Step-by-step explanation:
2cups= orange juice
1 cup= cranberry juice
nothing the orange and juice was used to make the mixture of juice
Answer:
its nothing??
Step-by-step explanation:
you gave it to mags so its nothing
what is the least common denominator of 1/3 and 1/6
Answer: 6. this is like 3rd grade math just multiply 1/3 and 1/6 to see
Answer:
1/2
Step-by-step explanation:
1/6/1/3=1/2or2
I the not understand the question properly
Find the next three terms in the sequence. 24,20,16,12…. (If you could explain it that would be great too. It’s a bit confusing)
Answer:
the next three numbers should be 8, 4, 0
Step-by-step explanation:
it reduces by 4 each time
24 - 4 = 20
20 - 4 = 16
16 - 4 = 12
12 - 4 = 8
8 - 4 = 4
4 - 4 = 0
First term =a=24
common difference=d=20-24=-4
Formula
a_n=24-4(n-1)a_5
24-4(4)8a_6
24-5(4)4a_7
24-6(4)0What is the measure of
Answer:
25
if j 25 L is going to be 25
A kite string is 100 feet long from the kite to the ground. The string makes a 45° angle with the ground
About how high off the ground is the kite? Leave your answer as a simplified radical
Answer:
It's not very high
Step-by-step explanation:
The angle that the string and the ground maje, is acute, because it's smaller than a right angle. So, since it is an acute angle, it's not very high. It is about 30cm high.
Which equation represents a graph with a vertex of (−3,2)?
Answer:
y = 4x² + 24x + 38
Step-by-step explanation:
Please help me graph the points with this please and thank you
Answer:
Hope this helps <3
Step-by-step explanation:
(I color coded them and named them for you so that you wouldn’t have trouble with finding the points <3)
HELP ME PLEASE
Solve for x: -6 – 5x = 29
Answer:
x = -7
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (&Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 6 to both sides of the equation:
-5x - 6 = 29
-5x - 6 (+6) = 29 (+6)
-5x = 29 + 6
-5x = 35
Next, divide -5 from both sides of the equation:
(-5x)/-5 = (35)/-5
x = 35/-5
x = -7
-7 is your answer for x.
~
divide y⁴-2y³-7y²+8y+12 by (y-3) using long division method
please give answer
How many cards are in each pack? There are __ cards in each pack
Answer:
there are 52 cards in each pack
Answer:
52.
Step-by-step explanation:
A deck of cards have 52 cards.
PLEASE LOOK AT PICTURE AND HELP!!!
Answer:
answer A
Step-by-step explanation:
nnnnmmmkkkkkkookl