To find the volume of the cylinder-shaped juice can, calculate using the formula V = π r² h with the radius being half of the can's width and the given height. The volume is found to be approximately 1804 cm³ when rounded to the nearest whole number.
Calculating the Volume of a Cylinder:
To calculate the volume of a cylinder, you should use the formula V = π r² h. First, we need to determine the radius of the juice can. Since it is given that the can is 12 centimeters wide, that means the diameter is 12 centimeters, and therefore, the radius (r) is half of that, which is 6 centimeters. We also have the height (h) of the can, which is 16 centimeters. Plugging these values into the formula gives us:
V = 3.14 × 6² × 16
Now, we calculate:
V = 3.14 × 36 × 16
V = 3.14 × 576
V = 1803.84 centimeters cubed (cm³)
When we round this to the nearest whole number, the volume of the juice can is approximately 1804 cm³.
-6x+5-4(x-1)=-4x-(5x-3)+4
Clark and his brother Kent played floor hockey in their living room. Each goal was worth 2 points. Clark scored 6 points. Kent scored 8 points. How many points did they score all together?
Factor the expression 8x3y − 8x2y − 30xy.
Answer: Our factorized term will be
2xy(2x+5)(2x-3)
Explanation:
Since we have given that
[tex]8x^3y-8x^2y-30xy[/tex]
All we need to do is to factorise this expression.
Here are the steps given below:
[tex]2xy(4x^2-4x-15)[/tex]
By manipulating the terms, we get:
[tex]2xy[(2x)^2-4x+1-16]\\\\2xy[(2x-1)^2-16]\\\\2xy[(2x-1)^2-(4)^2]\\\\2xy[(2x-1-4)(2x-1+4)]\\\\2xy[(2x-5)(2x+3)][/tex]
Alternatively,
By using splitting the middle terms,
[tex]2xy(4x^2-4x-15)\\\\2xy(4x^2-10x+6x-15)\\\\2xy[2x(2x-5)+3(2x-5)]\\\\2xy(2x-3)(2x+5)[/tex]
Hence, our factorized term will be
2xy(2x+5)(2x-3)
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is ? cm2.
A. 102
B. 132
C. 168
D. 340
SOMEONE PLEASE HELP ASAP!!
A pair of angles can be complementary and supplementary. The answers are sometimes? always? or never true? Justify the answer
dividing fractions (pt. 2)
3c-d=t solve for d
I'm confused on this
factor completely y^2-xy-56x^2
Answer: I got (y-8x)(y-7x) by factoring out the factors of 56, that have a sum of -1.
8 and 7 are factors of 56 when you multiply them and to get a sum of -1, 8 should change to negative. 7 + -8 = -1
What type of transformation is demonstrated in the following figure?
Image by Phoebe Baker
A.
dilation
B.
reflection
C.
rotation
D.
translation
Have you ever thought about the number of times your heart beats in a life time? Consider the average life span of 75 years and the average heart beat of 1.2 heartbeats per second. Estimate, using scientific notation, the number of times your heart will beat in your lifetime.
The average human heart beats approximately 108,000 times in one day, 39 million times in one year, and nearly 3 billion times during a 75-year lifespan. In a lifetime, your heart will beat an estimated 2.925 x 10^9 times.
Explanation:The average human heart beats approximately 108,000 times in one day, 39 million times in one year, and nearly 3 billion times during a 75-year lifespan. To estimate the number of times your heart will beat in your lifetime, we can multiply the number of heartbeats in one year by the average life span:
39 million heartbeats/year x 75 years = 2.925 billion heartbeats in a lifetime
In scientific notation, this can be expressed as 2.925 x 10^9 heartbeats.
The average heart beats approximately 3 billion times during a 75-year lifespan.
Explanation:The average heart beats approximately 108,000 times in one day, more than 39 million times in one year, and nearly 3 billion times during a 75-year lifespan. To estimate the number of times your heart will beat in your lifetime, you multiply the average heartbeats per year by the number of years in your lifespan.
For example, if we assume an average lifespan of 75 years, we can estimate the number of heartbeats in a lifetime:
39,000,000 heartbeats/year x 75 years = 2,925,000,000 heartbeats in a lifetime (2.9 x 10^9)
Dana wants to make two types of dog treats. She has 10 cups of peanut butter and 12 cups of flour. Her dog bone treat recipe uses 3 cups of peanut butter and 2 cups of flour to make one tray. A tray of her oatmeal dog treat recipe uses 1 cup of peanut butter and 4 cups of flour. She plans to sell trays of dog treats at the town festival and charge $6 for a tray of dog bone treats and $7 for a tray of oatmeal treats. Dana wants to maximize her income from selling the dog treats.
When writing constraints for the problem, what is the most reasonable definition for the variables x and y?
A) Let x represent the number of cups of peanut butter used and y represent the number of cups of flour used.
B) Let x represent the number of cups of peanut butter used and y represent the number of trays of dog bone treats made.
C) Let x represent the number of dog bone treats made and y represents the number of cups of flour used.
D) Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.
Answer with explanation:
Number of cups of peanut that Dana has =10 cups
Number of cups of flour that Dana has =12 cups
Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.
Constraints
⇒x>0, y>0
⇒3 x+y ≤10
⇒2 x+4 y ≤ 12
Maximize(Objective Function):
Z=6 x +7 y
⇒⇒ The most reasonable definition for the variables x and y as Dana wants to maximize her income from selling the dog treats
Option D: Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.
Ally bought a mattress and 4 pillows. The mattress cost $769
more than the 4 pillows. She gave the cashier $1300 and
received $51 change.
How much did each pillow cost?
Answer:
Cost of each pillow is $120.
Step-by-step explanation:
Let P denotes cost of each pillow and M denotes cost of mattress.
Then, given cost of mattress is $769
also, Ally gave the cashier $1300 and received $51 change.
Total amount Ally paid = total amount she gave - total amount she receives back.
= $( 1300 - 51 )
= $1249
Since, Ally brought one mattress and 4 pillow . Thus, Total cost is given as,
⇒ M + 4 P = 1249
⇒ 769 + 4 P = 1249
⇒ 4 P = 1249 - 769
⇒ 4 P = 480
⇒ P = 120
Thus, cost of each pillow is $120.
10 more points need it fast
The dining room table in Logan’s dollhouse is a replica of the dining room table in the actual house . The replica is 4 7/8 in. Long how long is the table in the actual house
Answer:
6ft 6 in
Step-by-step explanation:
Write a proportion that uses the scale factor 1/16. The numerator corresponds to the dollhouse, and the denominator corresponds to the actual house. So 4 7/8 goes in the numerator, and the variable goes in the denominator.
1/16=478xx=16⋅478x=78
There are 12 in. in a foot, so 78 in. equals 6 ft 6 in.
You have two summer jobs. At the Burger Palace you earn $8 per hour. At the community center you teach soccer clinics for $10 per hour. You want to earn at least $200 a week. If x is the number of hours you work at Burger Palace and y is the number of hours you work at the community center, which graph shows all the ways you can earn at least $200 a week? A. 2003-09-04-00-00_files/i0160000.jpg B. 2003-09-04-00-00_files/i0160001.jpg C. 2003-09-04-00-00_files/i0160002.jpg D. 2003-09-04-00-00_files/i0160003.jpg Please select the best answer from the choices provided A B C D Mark this and return
!!!!!30 POINTS!!! HELP ME ON THESE GEOMETRY QUESTIONS PLEASE! PLEASE SHOW WORK AND EXPLAIN
identity the pair of numbers that does not belong with the other three. explain.
The total weight of 15 boxes is 45 pounds .how much would 40 boxes weigh
Which property can be used to expand the expression -2(3/4x + 7)?
Answer:
C
Step-by-step explanation:
Right in edge2020
what's the area of a square picture with 16 inch sides
Answer:
256
Step-by-step explanation:
A piece of wood is 1.75 meter long A carpenter saws off 0.8 meter from it. Then he saws the remaining piece into 2 pieces of equal length. How long is each of the equal pieces?
What is the answer. Do not need to explain.
ILL CHOOSE BRAINLIEST!!!Which region represents the solution to the given system of inequalities?
A
B
C
D
Answer :- D region represents the solution to the given system of inequalities.
Explanation:
In the graph we can see the two lines drawn from the given system are intersecting in the fourth quadrant.
⇒The solution of the system lie in the fourth quadrant.
∴region D represents the solution to the given system of inequalities.
The graph of the linear inequality is the graph of all solutions of the system where the solution of the system of inequalities is the intersection region of the solutions of the two inequalities.If 5^3 b-1=5^b-3, what is the value of b?
Answer:
wht the girl ontop said
Step-by-step explanation:
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With two dice, each numbered 1-6, there are two possible ways to roll a 3: thus, for the outcome of 3 (a particular macrostate) there are 2 microstates. how many possible ways are there to roll a 4?
Find the (real-valued) general solution to the differential equation. z″+8z′=0 z(t)=
The general solution to the differential equation z″+8z′=0 is z(t) = Ae^(-8t) + B, where A and B are arbitrary constants.
Explanation:The differential equation z″+8z′=0 can be solved by separating variables and integrating.
Let v = z′ be the derivative of z.
Then the equation becomes v′+8v=0.
This is a first-order linear homogeneous differential equation, which can be solved by multiplying both sides of the equation by the integrating factor e^(∫8 dt) = e^(8t).
After solving for v, we can integrate it again to find z(t) by substituting back the expression for v in terms of z.
The general solution to the differential equation is z(t) = Ae^(-8t) + Be^(0t) = Ae^(-8t) + B, where A and B are arbitrary constants.
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B= [2 8 .6 3 ] A= 3 0 2 -1]
what is BA ?
The product of matrices[tex]\(B\) and \(A\) is \([12 \, 24 \, 4 \, -2]\).[/tex]
To find the product (BA), we multiply each row of (B) by each column of (A) and sum the products.
Let's calculate the elements of the resulting matrix (BA):
a. First row, first column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
b. First row, second column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
c. First row, third column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
d. First row, fourth column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
Therefore, the first row of [tex]\(BA\) is \([4.2 \, 4.2 \, 4.2 \, 4.2]\).[/tex]
Similarly, for the second row of (BA):
a. Second row, first column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
b. Second row, second column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
c. Second row, third column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
d. Second row, fourth column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
Therefore, the second row of [tex]\(BA\) is \([4.2 \, 4.2 \, 4.2 \, 4.2]\).[/tex]
Hence, the product [tex]\(BA\) is \([12 \, 24 \, 4 \, -2]\).[/tex]
Find (19 x 10*5) -(5 x 10 *4)
Answer:d
Step-by-step explanation:
Alexa's friends got her a skydiving lesson for her birthday. Her helicopter took off from the skydiving center, ascending in an angle of 20^\circ20
∘
20, degree, and traveled a distance of 3.43.43, point, 4 kilometers before she fell in a straight line perpendicular to the ground.
How far from the skydiving center did Alexa land?
Answer:
3.19495491 rounded to the nearest hundredth is 3.19
Step-by-step explanation:
The distance from the skydiving center did Alexa land will be 3.19 km. The formula of trigonometry is used in the given problem.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
From ΔABC it is obtained that;
[tex]\rm Cos A = \frac{AC}{AB} \\\\ COS 20^0 = \frac{AC}{3.4} \\\\ AC= 0.9694 \times 3.4 \\\\ AC = 3.19 \ km[/tex]
Hence the distance from the skydiving center did Alexa land will be 3.19 km.
To learn more about the trigonometry refer to the link;
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a baker used 4 cups of flour to make 5 batches of brownie. How many cups of flour does the baker need to make 1 batch of brownies
heeelp
please I will mark the brainliest, please help and show your work