The eighth layer of the pyramid will have 280,896 cans.
Explanation:To find the number of cans in the eighth layer of the pyramid, we need to observe the pattern in the number of rows and cans in each layer. The pattern is that each layer doubles the number of rows and the number of cans in each row. The eighth layer will have 2^7 (128) rows and 3^7 (2187) cans in each row. Therefore, there will be a total of 128 * 2187 = 280,896 cans in the eighth layer of the pyramid.
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The ratio of the same side angles of two parallel lines is 1:14. Find all angles.
Answer:
the anwser would be 12 and 168
What is the mass of an object that requires a force of 30 N to accelerate at 5 m/s2?
Step-by-step explanation:
if F=ma
therefore m will be equal to dividing a
f/a=m
therefore mass is force divided by acceleration.
y varies jointly as x and z. y=72 when x=6 and z=4. Find y when x=3 and z=6.
Please Help Quickly!
If the dimensions of the following cylinder are tripled, what will be the volume of the new cylinder?
15,260.4 cm
45,781.2 cm
61,041.6 cm
183,124.8 cm
Answer: [tex]45781.2\text{ cm}^3 [/tex]
Step-by-step explanation:
From the given picture, the diameter of the base of cylinder = 12 cm
i.e. the radius of the cylinder =[tex]r=\dfrac{12}{2}=6\ cm[/tex]
Height = 15 cm
If the dimensions of the following cylinder are tripled, then the radius of cylinder =[tex]3\times6=18\ cm[/tex]
Height=[tex]3\times15=45\ cm[/tex]
We know that the volume of a cylinder is given by :-
[tex]\text{Volume}=\pi r^2 h\\\\\Rightarrow\\text{Volume}=(3.14)(18)^2(45)\\\\\Rightarrow\text{Volume}=45781.2\text{ cm}^3 [/tex]
Distributive property of 96+80
Ice is placed around a bowl of water to lower the temperature. The equation D=−7/5t+22 shows the time, t, measured in minutes and temperature, D, measured in degrees Celsius. Which statement is correct?
a)The temperature of the water decreases 5°C every 7 minutes.
b)The temperature of the water increases 7°C every 5 minutes.
c)The temperature of the ice that is around the bowl is 22°C
d)Before cooling begins, the temperature of the water is 22°C
Answer:
d)Before cooling begins, the temperature of the water is 22°C
Step-by-step explanation:
Given equation that shows the temperature of the bowl after t minutes,
[tex]D=-\frac{7}{5}t+22[/tex]
Initially ( when ice is not placed ) t = 0,
So, the temperature of the water,
[tex]D=(0) + 22 = 22^{\circ}[/tex]
i.e. Option d) is correct.
If t = 7 minutes,
The temperature would be,
[tex]D=-\frac{7}{5}\times 7+22[/tex]
[tex]=-\frac{49}{5}+22[/tex]
[tex]=-\frac{49+110}{5}[/tex]
[tex]=\frac{61}{5}[/tex]
[tex]=12.2^{\circ}C[/tex]
So, the change in temperature = 12.2° - 22° = -9.8°,
Thus, option a) is incorrect.
If x = 5 minutes,
The temperature would be,
[tex]D=-\frac{7}{5}\times 5+22=-7+22 = 15^{\circ}[/tex]
Change in temperature = 15° - 22° = -7°,
So, Option b) is incorrect.
∵ The temperature of the ice must be less than 22°,
Thus, option c) is incorrect.
Am employer may conduct an aptitude test to check for what?
Answer:
The capacity to acquire certain skills
Step-by-step explanation:
Sophia needs $47 to go on a field trip. She has saved $11.50. She earns $6.50 per hour cleaning her neighbor's garden, and she earns $5.25 per hour selling cakes at a store. Can Sophia go on the field trip if she works at the garden for 4 hours and at the store for 2 hours?
Answer:
yes
Step-by-step explanation:
m<2=34 find m<4 and explain how you know
Angle 4 equals 34 degrees since angle 2 and 4 are opposite angles and opposite angles are congruent
Given only that m<2 = 34, we can't find the value of m<4. More information about the relationship between these angles is needed to solve the problem.
Explanation:The question asks to find the value of m<4 given that m<2=34.
It's important to note here that 'm<2' and 'm<4' are two different angle measures. Without more information about their relationship, such as them being supplementary, complementary or vertically opposite angles, it's impossible to find the measure of m<4 based on m<2 alone.
So, we can't find the value of m<4 using only the information provided. You might need to look back at the original problem or figure to see if there is additional information available about these angles.
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How do I solve this?
How many minutes equal 4.8 days? Enter your answer in the box.
Answer:4.8 days =6956
Step-by-step explanation:
1 - Do not answer unless 100% sure.
2 - Be sure to explain how you got your answer.
3 - Look at the image below for the question.
If Cody is draining his hot tub which holds 1,400 gallons of water at a rate of 27 gallons a minute, what impact will it have on the amount of water in the hot tub after 18 minutes? A) -486 gallons B) -459 gallons C) 459 gallons D) 486 gallons
How can area models be used to solve multiplication problems
Area models can be used to solve multiplication problems by visually representing the multiplication as the area of a rectangle or square. The model is divided into equal-sized sections, with the number of sections representing one factor and the size of each section representing the other factor. The total area of the model gives the product of the two factors.
Explanation:Area models can be used to solve multiplication problems by visually representing the multiplication as the area of a rectangle or square. The model is divided into equal-sized sections, with the number of sections representing one factor and the size of each section representing the other factor. The total area of the model gives the product of the two factors. For example, if we have a model representing 4 × 3, we can divide the model into 4 equal sections horizontally and 3 equal sections vertically, and the total area will be 12, which is the product of 4 and 3.
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yvonne runs three times as fast as xavier. what is an algebraic translation of this?
A y = 2x
B y = 3x
C y = 1/2x
D y = 1/3x
One fifth equals the quotient of a number and 10
how to do RX - sx + y equals B plzz explain how to get the answer there all variables!!!!
you are going to get a new cell phone and need to choose between two cell phone companies, Bell Phone Company charges $40 per month. It costs $0.50 per minute after you have gone over the monthly number of minutes included in the plan
Please help and explain your reasoning, i need to do this for extra credit to bring up my grade.
On a coordinate grid, both point (3, 5) and point (−2, −4) are reflected across the y-axis. What are the coordinates of the reflected points?
A. (−3, 5) and (2, 4)
B. (−3, 5) and (2, −4)
C. (−3, −5) and (−2, −4)
D. (3, −5) and (−2, −4)
How do I solve 2q+10=7q
Final answer:
To solve the equation 2q + 10 = 7q, subtract 2q from both sides and then divide by 5, resulting in q = 2.
Explanation:
To solve the equation 2q + 10 = 7q, you need to isolate the variable q on one side. Here are the steps you should follow:
Subtract 2q from both sides to get all q terms on one side of the equation: 2q + 10 - 2q = 7q - 2q, which simplifies to 10 = 5q.
Divide both sides by 5 to solve for q: 10 / 5 = 5q / 5, resulting in q = 2.
Therefore, the value of q that solves the equation is 2.
What is gcf of 18 and 24 with 18/24 in simplest form
Ella went to the zoo and saw cockroaches, spiders, and moths. She was there 3 hours. She saw 3 times as many spiders as cockroaches and twice as many moths as cockroaches. If Ella saw 5 cockroaches, how many bugs did she see altogether?
what is the slope of the line with equation y-7=5(x-12)
In softball, a batting average is the number of hits divided by the number of times at bat. Does Eva or Michelle have the higher batting average?
Player Hits At Bats
Eva 42 90
Michelle 38 80
Answer:
Michelle has a higher batting average with 0.475
Step-by-step explanation:
Batting average is equal to the number of hits divided by the number of times at bat:
First, we have to know the batting average of both players:
Eva:
Hits = 42
Times at bat = 90
Now we divide to get the batting average:
42/90 = 0.466
Michelle:
Hits = 38
Times at bat = 80
Now we divide to get the batting average:
38/80 = 0.475
Michelle has a batting average of 0.475 compared to Eva's which is a 0.466, so Michelle's has a higher batting average.
Michael earned $159 mowing lawns all summer. If he mowed 39 lawns, about how much did he make per lawn?
Michael made approximately $4.08 per lawn by dividing the total earnings of $159 by the total number of lawns 39 he mowed.
To find out how much Michael made per lawn, we need to divide the total amount of money he earned by the number of lawns he mowed. Michael earned $159 over the summer and mowed 39 lawns. Therefore, we calculate the earnings per lawn using the following equation:
Earnings per lawn = Total money earned \/ Number of lawns mowed
Earnings per lawn = $159 / 39
Now, let's do the calculation:
Earnings per lawn = $4.0769...
To provide an approximate value, we round the amount to the nearest cent, which gives us an answer of approximately $4.08 per lawn.
a rectangular container is 15cm long by 25cm wide and contains 2.5 liters of water. find the height of the water level in the container (1 liter=1000cm
Can someone help !!!!
An 8-kilogram bag of carrots costs $16.08. What is the unit price?
3(x-4)+6==15 solve and check
these are typical bowling scores for 16-20 year olds: 74, 88, 89, 95, 99, 100, 101, 106. What is the mean for the data?
Answer:
The answer is 94.
Step-by-step explanation:
In order to determine the answer, we have to know about the mean of a group of values. When we need to calculate the mean, first we have to sum all the values. Then, we have to divide this result by the amount of datas.
In this case, we have 8 datas of differents bowling scores.
The sum of all values is:
[tex]74+88+89+95+99+100+101+106=752[/tex]
Finally, the mean is:
[tex]Mean=\frac{752}{8}= 94[/tex]
The mean for the data is 94.