The side lengths of the two cubes are 6 meters and 12 meters respectively.
How to calculate the volume of a cube?Mathematically, the volume of a cube is calculated by using this following formula:
Volume = m³
Where:
m is the side lengths of a cube.
Translating the word problem into an algebraic expression, we have;
m³ + (2m)³ = 1944
m³ + 8m³ = 1944
9m³ = 1944
m³ = 1944/9
m = ∛216
m = 6 meters.
For the bigger cube:
2m = 2 × 6
2m = 12 meters.
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find the ninth term of the geometric sequence, given the first term and the common ratio: a1=1, r=-1/3
Answer:
1(-1/3)^8
Answer: 1/6561
hope this is better
The inequality 10w + 40 < 450 represents the maximum number of ten-pound weights, w, a weight bench can hold if the maximum weight capacity of the bench is less than 450 pounds. The table shows the steps a trainer takes to solve the inequality.
Hey there!
10w + 40 < 450
SUBTRACT 40 to BOTH SIDES
10w + 40 - 40 < 450 - 40
SIMPLIFY IT!
10w < 450 - 40
10w < 410
DIVIDE 10 to BOTH SIDES
10w/10 < 410/10
SIMPLIFY IT!
w < 410/10
w < 41
(Your graph is shown below)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The speed of the jet Alyssa flew on from Boston to London was 480
mph. On her return flight, the speed of the jet was 600 mph with a tail
wind. What was Alyssa's average speed on the round trip? Round your
answer to one decimal place.
Please help ASAP!!!
Will mark brainiest!!!!!
Answer:
533.3 mph
Step-by-step explanation:
You want the average round-trip speed if the speed to London was 480 mph and the return trip to Boston was 600 mph.
SpeedThe average speed will be the total distance divided by the total time. The time is found by dividing the distance by the speed.
If the distance is d, the total time in hours is ...
d/480 +d/600 = (3/800)d . . . . . hours
Then the average speed is ...
2d/(3/800d) = 1600/3 ≈ 533.3 . . . . miles per hour
Alyssa's average speed on the round trip was 533.3 mph.
__
Additional comment
In the real world, eastbound speeds are usually faster than westbound speeds.
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437.683
Write a number with a 7 in it that is 1/10 the size of the 7 in the number above.
Step-by-step explanation:
find the egn of the line through (a.b)and perpendicular to the lime passing through (a.2b)and (b.2a)for a#b?
Find the area of a
square that has a side
length of 3 1/2 cm
Answer:
12.25cm2
Step-by-step explanation:
Area of a square= S ×S
3 1/2 × 3 1/2 = 3.5×3.5 = 12.25
Please help me with this
It would be C because that is the one that make the most sense
Suppose you take a sample of 15 pieces of colored fruit snacks and a sample of 60 pieces of colored fruit snacks from one day's production. Which sample is more likely to give you a prediction closer to the actual number of each color? Explain
Answer:
The sample of 15 pieces of colored fruit snacks
Step-by-step explanation:
The sample of 15 pieces of colored fruit snacks. The 60 pieces are from ONE day which means it can be heavily biased. It might be like "BLUE RASPBERRY SPECIAL DAY!" or "PRESIDENTS DAY!! RED BLUE AND WHITE!!". However, 15 pieces, whilst having less of a population, is probably more spaced out.
Help pls i rly need help
Step by step explanation :
[tex] \frac{x}{2} - 1 = \frac{3 - x}{5} [/tex]Taking LCM in Left Hand Side
[tex]⇢ \frac{x - 2}{2} = \frac{3 - x}{5} [/tex]Now, By cross multiplying ,we get. ..
[tex]⇢5(x - 2) = 2(3 - x)[/tex]
[tex]⇢5x - 10 = 6 - 2x[/tex]
[tex]⇢5x + 2x = 6 + 10[/tex]
[tex]⇢7x = 16[/tex]
[tex]⇢ \boxed{ x = \frac{16}{7} }[/tex]
Answer:
x = 16/7
Step-by-step explanation:
Given
x/2 - 1 = 3 - x / 5Solving
#1) Find the LCM.
Product of denominator values2 x 5 = 10#2) Multiply both sides by 10.
10(x/2 - 1) = 10(3 - x / 5)5x - 10 = 2(3 - x)5x - 10 = 6 - 2x#3) Bring x terms to the left and numbers to the right.
5x + 2x = 6 + 107x = 16x = 16/7How many ways are there to seat six boys and seven girls in a row of chairs so that none of the girls sit together. A detailed explanation would be most appreciated.
Answer:
5040 ways
Step-by-step explanation:
There will be 13 chairs altogether.
Since there are 7 girls who cannot sit together, the pattern will be alternate.
→ G, B, G, B, G, B, G, B, G, B, G, B, G
Means the ways of girls seated = 7!No. of ways of boys seated = 6!Total Ways
7! x 6!6! (7 x 1)6 x 5 x 4 x 3 x 2 x 1 x 7720 x 75040 ways
#5 The MAC is 4 centimeters. Find the circumference of B. Round your answer to the hundredths.
Answer:
C ≈ 11.71 cm
Step-by-step explanation:
using the ratio arc AC : circumference C = angle at centre of sector : 360°
[tex]\frac{AC}{C}[/tex] = [tex]\frac{123}{360}[/tex] , that is
[tex]\frac{4}{C}[/tex] = [tex]\frac{123}{360}[/tex] ( cross- multiply )
123 × C = 4 × 360 = 1440 ( divide both sides by 123 )
C = [tex]\frac{1440}{123}[/tex] ≈ 11.71 cm ( to the nearest hundredth )
PLS HELPPPPPP IT'S LOCUS AND I HAVE NO IDEA HOW TO DRAWWWW
40 POINTS WILL BE REWARDED
THANKS A LOT
Answer:
im not really good at drawing but Can I ask a question can I help you with other questions?
Step-by-step explanation:
The baseball diamond at a playground is a square with sides that measure 70 feet. About how long would a straight line be from home plate to second base? Round your answer to the nearest tenth.
A baseball diamond represented by a square oriented so that the diagonal of the square running from home plate to 2nd base is vertical.
70 feet
140 feet
9,800 feet
99 feet
Answer:
70 if you walk directly across, 140 if you're running the bases
Step-by-step explanation:
So, if the distance between one is 70, than from home>first>second is 140 feet. Because it is a square, if you travel across the field from home directly to second, it is half that distance and only 70.
Maria has decided that she wants to earn all A's and B's throughout high school. She has set a short-term goal to earn no grade lower than a C on any test. Even though she studied, she earned a C on her geometry test. Being determined to reach her goal, she decides to go to extra study sessions her geometry teacher provides. What does this demonstrate about Maria
The fact that Maria has decided to still put in more effort to get no grade lower than C shows that c. she is able to set and evaluate her goals.
What can be said about Maria?Maria was able to set goals on the grades that she would like to earn throughtout her high school.
She was also able to evaluate her progress when she saw that she hadn't reached her overall goal. This then led to her taking even more lessons.
In conclusion, option C is correct.
Find out more on setting goals at https://brainly.com/question/24231566.
Help
Need the steps >.
Answer:
x = 3
Step-by-step explanation:
using the rule of exponents
[tex]4^{x}[/tex] = [tex](\frac{1}{2}) ^{x-9}[/tex]
[tex](2^2)^{x}[/tex] = [tex](2^{-1}) ^{x-9}[/tex]
[tex]2^{2x}[/tex] = [tex]2^{-1(x-9)}[/tex] = [tex]2^{9-x}[/tex]
suince the bases on both sides are equal, then equate the exponents
2x = 9 - x ( add x to both sides )
3x = 9 ( divide both sides by 3 )
x = 3
what 3x to the 5th power and 3x to the ninth power
Answer: 19926
this is the answer
A Diameter of a circle has endpoints P(-10, -2) and Q(4, 6)
a. Find the center of the circle.
b. find the radius. If your answer is not an integer, express in in radical form.
c. write an equation for the circle
PLS HELP FAST!
Will Give Brainiest if answered properly!
Answer:
see explanation
Step-by-step explanation:
(a)
the centre of the circle is at the midpoint of the endpoints.
using the midpoint formula
centre = ( [tex]\frac{-10+4}{2}[/tex] , [tex]\frac{-2+6}{2}[/tex] ) = ([tex]\frac{-6}{2}[/tex] , [tex]\frac{4}{2}[/tex] ) = (- 3, 2 )
(b)
the radius r is the distance from the centre to either of the endpoints
using the distance formula to find r
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 3, 2 ) and (x₂, y₂ ) = Q (4, 6 )
r = [tex]\sqrt{(4-(-3))^2+(6-2)^2}[/tex]
= [tex]\sqrt{(4+3)^2+4^2}[/tex]
= [tex]\sqrt{7^2+16}[/tex]
= [tex]\sqrt{49+16}[/tex]
= [tex]\sqrt{65}[/tex]
(c)
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius , then
(x - (- 3) )² + (y - 2)² = ([tex]\sqrt{65}[/tex] )² , that is
(x + 3)² + (y - 2)² = 65
Answer:
Step-by-step explanation:
a) Use midpoint formula to find the center.
[tex]\sf \boxed{Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]
P(-10 ,-2) ⇒x₁ = -10 & y₁ = -2
Q(4,6) ⇒ x₂=4 & y₂ = 6
[tex]\sf midpoint = \left(\dfrac{-10+4}{2},\dfrac{-2+6}{2}\right)[/tex]
[tex]=\left(\dfrac{-6}{2},\dfrac{4}{2}\right)\\\\=\left(-3,2\right)[/tex]
b) To find the radius, use the distance formula
[tex]\boxed{distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
Q(4,6) & O(-3,2)
[tex]r=\sqrt{(-3-4)^2+(2-6)^{2}}\\\\=\sqrt{(-7)^{2}+(-4)^2}\\\\=\sqrt{49+16}\\\\= \sqrt{65}[/tex]
radius = √65
c) Equation of circle : (x - h)² +(y -k)² = r²
Where (h,k) is the coordinates of the center and r is the radius
(x -[-3])² + (y - 2)²= (√65)²
(x + 3)² + (y -2)² = 65
Sally bought a soft drink for 4 dollars and 8 candy bars. She spent a total of 28 dollars. How much did each candy bar cost?
Answer:
$3
Step-by-step explanation:
If the soda was $4 and she spent a total of $28
then you do 28-4 to get the amount she spent on candy bars so 28-4 is 24 and divide 24 by 8 and you get 3
The Coolmathz family is ordering pizza. They order two pizzas. One is $15, and the other is $12. They use a coupon for 5% off the whole order. They then tip 18% of the cost after the coupon. How much did the Coolmathz family spend in total? Show your work
Answer:
30.51$
Step-by-step explanation:
15+12=27$
5% of 27$=1.35$
18% of 27=4.86
Do the math: 27+4.86-1.35=30.51
Plss some help!!
Its easy just not for me. lol
Answer:729
Step-by-step explanation: volume is base area × height
Base area = 9×9
Volume =9×9×9
Jennifer has built a shelf which can safely support 16.40 pounds. if there are 2.20462 pounds in a kilogram, how many kilograms can jennifer’s shelf support? a. 7.44 kg b. 13.44 kg c. 32.42 kg d. 36.16 kg
The weight of Jennifer's shelf if 1kg is equivalent to 2.20462 pounds is 7.44kg
Ratio and proporrtionsFractions are written as the ratio of two integers
Given the following
Amount of pounds that Jennifer buuilt = 16.40 pounds
If 1 kg = 2.20462 pounds
Calcualate the measure of shelf in kg
Weight = 16.40/2.20462
Weight = 7.44kg
Hene the weight of Jennifer's shelf if 1kg is equivalent to 2.20462 pounds is 7.44kg
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Wyatt is hiking a trail that is 11/12 mile long. After hiking 1/4 mile, he stops for water. He continues hiking another 1/6 mile and stops to rest. How much farther must he hike to finish the trail ?
Answer:
the answer in the simplest form is 1/2 miles and if it's not in its simplest form is 6 /12 .hope it helps.
Step-by-step explanation:
Answer:
R.d. = 1/2 mile
Step-by-step explanation:
Facts of note
Total distance to be covered = 11/12 mileDistance covered = 1/4 + 1/6 = 3/12 + 2/12 = 5/12 mileSolving
Remaining distance = Total - coveredR.d. = 11/12 - 5/12R.d. = 6/12R.d. = 1/2 mileWhat is the range of y=−3x2−12x−17?
Question 9 options:
y≤−5
y≥5
x≥−5
x≤5
Answer: y≤−5
Step-by-step explanation:
please help, thank you so much
Step-by-step explanation:
a) 3×2×t=6t
b)500 years
. After consulting with his broker, Dan Hostetler purchases 2,000 shares of Ballon
Synergy stock at $4.10 per share. He also purchased 500 shares of Matell Scientific
at $26.76 per share. What is the total cost of the stocks including the commission?
Dan Hostetler purchases 2,000 shares of Ballon Synergy stock at $4.10 per share. Thus, The total cost of stock including the commission is $15917.
What are stocks?Stocks are types of security to shareholders that represent fractional ownership of equity in any organization.
Dan Hostetler purchases 2,000 shares of Ballon Synergy stock at $4.10 per share. He also purchased 500 shares of Matell Scientific at $26.76 per share.
We have a number of shares at $44.41 per share = 100
Number of shares at $19.08 per share = 600
Total number of shares = 700
Broker's charges per share = $0.04
Hence, The total cost of the stock including the commission
= Cost of stock + commission
= (100 × 44.41) + (600 × 19.08) + (700 × 0.04)
= 15,917
Thus, the total cost of stock including the commission is $15917.
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A student prepares 150.0 ml of 1.40 m hcl using 35.0 ml of a stock solution. what is the concentration of the stock solution? use m subscript i v subscript i equals m subscript f v subscript f.. 0.327 m 4.29 m 6.00 m 7.35 m
Answer:
(c) 6.00 M
Step-by-step explanation:
The given equation can be solved for the unknown concentration.
__
[tex]m_iv_i=m_fv_f\\\\m_i(35.0\text{ ml})=(1.40\text{ M})(150.0\text{ ml})\\\\m_i=\dfrac{(1.40\text{ M})(150.0\text{ ml})}{35.0\text{ ml}}\\\\\boxed{m_i=6.00\text{ M}}[/tex]
The concentration of the stock solution is 6 M.
Answer: c- 6.00 m
Step-by-step explanation:
got it right on edge
Create a table of values and graph the function g(x)=|x-4|
Table of values
4 0
5 1
6 2
7 3
Mary did not pay last month's credit card bill in full. Below is a list of Mary's daily balances for his last billing cycle.
For 6 days she owed $500.00
For 4 days she owed $350.26
For 7 days she owed $568.45
For 8 days she owed $480.34
For 6 days she owed $649.90
Type your answer.
500+350.26+568.45+480.34+649.90 = $2548.95
hope it really helps...!!!
what are the features of the function f(x)=-log2(x+8)graphed below
Answer:
what graph?
Step-by-step explanation:
which figure is a rotation of figure A?
Answer:
Figure D would be an 180 degree rotation of Figure A
Step-by-step explanation:
Figure B would have to be tilted to the right some more, and Figure C is all out of wack leaving Figure D
Answer:
Figure D
Step-by-step explanation:
From Figure A to B, it looks like a reflection (like a mirror) (over the y-axis)
From Figure A to C, it looks like a translation (5 units down) (x - 5, y)
From Figrue A to C, it looks like a rotation
Therefore, our final answer is Figure D
Hope this helps!
The survey included 80 students. How many students chose bananas?
Answer:
20 Students chose bananas.
Step-by-step explanation:
You can see that the bananas take up 25% or 1/4 of the chart. To find 1/4 of a number find half of the number twice. Half of 80 is 40 and half of 40 is 20. So, 20 students chose bananas.