Answers
Answer:
The second one for both a and b.
Step-by-step explanation:
The first cereal box is:
8•3•11=264 inches cubed
the second cereal box is:
10•10•3=300 inches cubed
a. The box that holds more cereal would be the second one, since it has more volume.
b. The box that requires more material to make is the second one, since the it is bigger in volume, therefore, bigger in length and width.
Related Questions
Fill in the blank to find the y-intercept.
(0,_____)
Answers
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
the y intercept is the point on the graph where the line crosses the x axis
The infant mortality rate (per 1,000 live births) for the 50 states and the District of Columbia has a mean of 6.98 and a standard deviation of 1.62. Assuming that the distribution is normal, what percentage of states have an infant mortality rate between 5.36 and 8.60 percent (per 1,000 live births)?
Answers
68% of states have an infant mortality rate between 5.36 and 8.60 percent.
What is the Empirical Rule?In statistics, the 68–95–99.7 rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within an interval estimate in a normal distribution: 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean, respectively.
In this problem, we have that:
Mean = 6.98Standard deviation = 1.62Assuming that the distribution is normal, what percentage of states have an infant mortality rate between 5.36 and 8.60 percent (per 1,000 live births)?
\(\sf 5.36 = 6.98 - 1\times1.62\)
So, 5.36 is one standard deviation below the mean.
\(\sf 8.60 = 6.98 + 1\times1.62\)
So 8.60 is one standard deviation above the mean.
Therefore, by the Empirical Rule, 68% of states have an infant mortality rate between 5.36 and 8.60 percent.
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Tristan can walk 3 miles in one hour. At this rate, how far will Tristan walk in 4 hours?
Answers
Answer:
12 miles
Step-by-step explanation:
sometimes looking at the units is helpful.
How far Tristan will walk is measured in miles.
3 miles/hour * 4 hours has a unit of miles * hour/hour = miles
3*4 = 12
Answer:
12 Miles
Step-by-step explanation:
Multiply 3 by 4
if Mary starts with $10 in her savings account and wants to add $20 each week to save for a new phone that costs $150, how many weeks will she need to save before she has enough money?
Answers
Answer:
7 weeks.
Step-by-step explanation:
We know Mary starts with $10 in her account, so now we just find out how much more money she needs to save:
150 - 10 = 140
Now, all we have to do is find out how many times 20 fits into 140, since she wants to add $20 each week to her account:
140/20 = 7
Hence, it will take Mary 7 weeks before she has enough money for a new phone.
Please help! What is the surface area of the cylinder with height 4 m and radius 8 m? Round your answer to the nearest thousandth.
Make sure to round please.
Answers
The surface area of the cylinder is 948m²
What is surface area of cylinder?The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;
SA = 2πr(r+h)
Where r is the radius of the base and h is the height of the cylinder.
r =8m
h = 4m
SA = 2 × 3.14 × 8 (8+4)
SA = 78.96 × 12
SA = 947.52 m²
to the nearest whole number
SA = 948 m²
therefore the surface area of the cylinder is 948 m²
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Instructions: Solve the following linear
equation
4(n + 5) – 2(5 + 7n) = -70
n =
Answers
Answer:
Step-by-step explanation:
4*(n +5) - 2*(5 + 7n) = -70
4*n + 4*5 + 5*(-2) + 7n*(-2) = -70
4n + 20 - 10 - 14n = -70
4n - 14n + 20 - 10 = -70
- 10n + 10 = -70
Subtract 10 from both sides
-10n = -70 - 10
-10n = -80
Divide both sides by (-10)
n = -80/-10
n = 8
Step-by-step explanation:
sjbsbsbeekejebebheebebejekek
can you please help I can give u extra points
Answers
Answer:
I believe you multiple the top the divide the bottom
Step-by-step explanation:
not sure
Please answer this correctly
Answers
Answer:
40 cm.
Step-by-step explanation:
So what I tried to do in this case is compare 96 to 64. I subtracted those two numbers which is 32. So since thats the difference between those two shapes, I did the same thing with 72 and I subtracted it but 32, which led me to 40.
Hope this helped :)
Answer:
u=48
Step-by-step explanation:
In similar triangles, corresponding sides have the same ratio.
64/96=u/72
Step 1: Cross-multiply
(64)*(72)=u*(96)
4608=96u
Step 2: Flip the equation.
96u=4608
Step 3: Divide both sides by 96.
96u /96=4608 /96
u=48
Triangles ABC and DEF are shown above. Write ratio equal to BC/AB.
Which trigonometric ratio does this represent?
Answers
Answer:
Step-by-step explanation:
From the picture attached,
From ΔABC,
m∠B = 180° - (m∠C + m∠A)
= 180° - (90° + 32°)
= 180° - 122°
= 38°
Now we have to find the trigonometric ratio of BC and AB from ΔABC,
Since, sinθ = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)
sin(32°) = \(\frac{BC}{AB}\)
\(\frac{BC}{AB}=0.53\)
Therefore, ratio of BC and AB represents the "sine of angle A".
PLEASE HELP it’s MULTIPLE CHOICE i’ll mark BRAINLIEST AND I ADDED EXTRA POINTS!!
Answers
Answer:
Easy b
Step-by-step explanation:
Because
slope is 1/3
y-intercept is -1
Humanity would achieve in life expectancy of 110 years in approximately
Answers
Humanity would achieve a life expectancy of 110 years in approximately 60 years.
To calculate the number of years it would take for humanity to achieve a life expectancy of 110 years, we need to determine the number of decades required to reach this goal based on the given rate of increase.
In 2009, the life expectancy was about 80 years. From that point, we need to calculate the difference between the current life expectancy and the target life expectancy of 110 years.
110 years - 80 years = 30 years
Since the rate of increase is 5.3 years every decade, we can divide the difference by the rate to determine the number of decades required:
30 years / 5.3 years per decade ≈ 5.66 decades
Since we can't have a fraction of a decade, we need to round up to the nearest whole number. Therefore, it would take approximately 6 decades for humanity to achieve a life expectancy of 110 years.
To calculate the number of years, we multiply the number of decades by 10:
6 decades * 10 years per decade = 60 years
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a number increased by 8 is equal to 48
Answers
Answer:
6
Step-by-step explanation:
if you do 48 divided by 8 it equals 6 so therefore the number that would increase it would be 6 because 6x8 equals 48.
hope this helps
What is 10 plus 5 to the 3 power minus 1? Order of operation
Answers
Hope this helped!! :)
Step-by-step explanation:
(10+5)³-1 = 3375-1 = 3374.
Figure ABCD is plotted on a coordinate plane. The figure transforms to create figure A'B'CD'. Which transformation took place
Answers
Answer: The answer is a reflection transformation took place
Step-by-step explanation:
Answer:
Translation
Step-by-step explanation:
All of the points on the graph moved equally, which is a translation.
Please mark as Brainliest!!!a) American households spent an average of about $70 in 2007 on Halloween merchandise such as costumes, decorations and candy. To see if this number had changed, researchers conducted a new survey in 2008 before industry numbers were reported. The survey included 2100 households and found that average Halloween spending was $47 per household. The sample mean is dollars, while the claimed population mean is dollars. b) The average GPA of students in 2001 at a private university was 3.38. To assess whether this has changed over time, a survey on a sample of 190 students from this university was taken in the Spring 2020 semester. The survey yielded an average GPA of 3.75. The sample mean is and the claimed population mean is
Answers
Answer:
a) The sample mean is 47 dollars, while the claimed population mean is 70 dollars.
b) The sample mean is 3.75, while the claimed population mean is 3.48.
Step-by-step explanation:
Question a)
American households spent an average of about $70 in 2007 on Halloween merchandise such as costumes, decorations and candy means that the claimed population mean is 70 dollars.
The survey included 2100 households and found that average Halloween spending was $47 per household means that the sample mean is 47 dollars.
The sample mean is 47 dollars, while the claimed population mean is 70 dollars.
Question b)
The average GPA of students in 2001 at a private university was 3.38 means that the claimed population mean is 3.38.
The survey yielded an average GPA of 3.75 means that the sample mean is 3.75.
The sample mean is 3.75, while the claimed population mean is 3.48.
Can someone do an exmaple of this kind of problem? thanks.
On finding exact values of sine and cosine for angles given in standard position.
4 problems. 2 points per problem.
1 point for getting the correct exact value
1 point for getting the correct +/- sign.
Answers
Answer:
Step-by-step explanation:
Sure, here's an example problem:
1) Find the exact values of sine and cosine for the angle in standard position that terminates at the point (-3, 4).
Solution:
We can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the terminal side of the angle and the x and y axes:
h = √((-3)^2 + 4^2) = √(9 + 16) = √25 = 5
Now we can find the sine and cosine of the angle:
sin θ = y / h = 4 / 5
cos θ = x / h = -3 / 5
Since the x-coordinate is negative, the angle is in the second quadrant. Therefore, both sine and cosine are negative.
So the final answer is:
sin θ = -4/5
cos θ = -3/5
This gives us 1 point for getting the correct exact value and 1 point for getting the correct sign.
------
Find the exact value of sin(225°).
Solution: First, we know that 225° is in the third quadrant, where sine is negative. Then, we need to find the reference angle, which is 45° (since 225° - 180° = 45°). We know that sin(45°) = √2/2, so sin(225°) = -√2/2.
Find the exact value of cos(240°).
Solution: First, we know that 240° is in the third quadrant, where cosine is negative. Then, we need to find the reference angle, which is 60° (since 240° - 180° = 60°). We know that cos(60°) = 1/2, so cos(240°) = -1/2.
Find the exact value of sin(300°).
Solution: First, we know that 300° is in the fourth quadrant, where sine is positive. Then, we need to find the reference angle, which is 60° (since 360° - 300° = 60°). We know that sin(60°) = √3/2, so sin(300°) = √3/2.
Find the exact value of cos(150°).
Solution: First, we know that 150° is in the second quadrant, where cosine is negative. Then, we need to find the reference angle, which is 30°. We know that cos(30°) = √3/2, so cos(150°) = -√3/2.
Answer:
Here are four problems:
Find the exact value of sin(150°).Find the exact value of cos(225°).Find the exact value of sin(300°).Find the exact value of cos(60°).Solutions:
sin(150°) is equivalent to sin(180° - 30°), which is -sin(30°) (since sin(180° - x) = sin(x)). We know that sin(30°) = 1/2, so -sin(30°) = -1/2. Therefore, sin(150°) = -1/2.cos(225°) is equivalent to cos(180° + 45°), which is -cos(45°) (since cos(180° + x) = -cos(x)). We know that cos(45°) = √2/2, so -cos(45°) = -√2/2. Therefore, cos(225°) = -√2/2.sin(300°) is equivalent to sin(360° - 60°), which is sin(60°) (since sin(360° - x) = sin(x)). We know that sin(60°) = √3/2. Therefore, sin(300°) = √3/2.cos(60°) is a common angle and we know that its exact value is 1/2. Therefore, cos(60°) = 1/2.So the answers, with the correct signs, are:
sin(150°) = -1/2cos(225°) = -√2/2sin(300°) = √3/2cos(60°) = 1/2Learn more about Trigonometry Problems here:
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Over what interval is the function increasing? x (x, y) −4 −8 (−4, −8) −2 −2 (−2, −2) 0 0 (0, 0) 2 −2 (2, −2) 4 −8 (4, −8)
Answers
The increasing and decreasing function is discussed above.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the function f(x).
Increasing and decreasing functions are functions in calculus for which the value of f(x) increases and decreases respectively with the increase in the value of x. We can write -
Increasing Function - A function f(x) is said to be increasing on an interval I if for any two numbers x and y in I such that x < y, we have f(x) ≤ f(y).Decreasing Function - A function f(x) is said to be decreasing on an interval I if for any two numbers x and y in I such that x < y, we have f(x) ≥ f(y).Strictly Increasing Function - A function f(x) is said to be strictly increasing on an interval I if for any two numbers x and y in I such that x < y, we have f(x) < f(y).Strictly Decreasing Function - A function f(x) is said to be strictly decreasing on an interval I if for any two numbers x and y in I such that x < y, we have f(x) > f(y).Properties of increasing or decreasing functions If the functions f and g are increasing functions on an open interval I, then the sum of the functions f + g is also increasing on this interval.If the functions f and g are decreasing functions on an open interval I, then the sum of the functions f + g is also decreasing on this interval.If the function f is an increasing function on an open interval I, then the opposite function -f is decreasing on this interval.If the function f is a decreasing function on an open interval I, then the opposite function -f is increasing on this interval.If the function f is an increasing function on an open interval I, then the inverse function 1/f is decreasing on this interval.If the function f is a decreasing function on an open interval I, then the inverse function 1/f is increasing on this interval.If the functions f and g are increasing functions on an open interval I and f, g ≥ 0 on I, then the product of the functions fg is also increasing on this interval.If the functions f and g are decreasing functions on an open interval I and f, g ≥ 0 on I, then the product of the functions fg is also decreasing on this interval.Therefore, the increasing and decreasing function is discussed above.
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Jessica’s plane and Kayla’s plane take off at the same time. Lauren’s plane leaves 1 hour earlier than Maria’s plane. Maria’s plane leaves at least 2 hours after Kayla’s plane. Each person flight last 8 hours. Maria’s flight lands at 4:45pm. What is the true statement?
Answers
Answer:
Step-by-step explanation:
From the given question, it can be concluded that Jessica and Kayla's planes took off an hour earlier than that of Lauren and at least two hours earlier than that of Maria. This implies that Maria's plane took off last among them.
Since each person's flight last 8 hours and Maria's plane lands at 4:45 pm, then Jessica and Kayla's planes land simultaneously at least at 2:45 pm. And that of Lauren lands exactly at 3:45 pm.
5. Jamal is taking a road trip. He plans to travel a total of 350 miles over the course of 8 days. If he plans on driving an equal amount each day, how far will he travel each day? Solve and check!
Answers
Answer: 43.75 miles per day.
Step-by-step explanation: All you have to do is divide 350 by 8, when you divide you basically just split the number evenly 8 times, which is what 350 divided by 8 is. He will have to drive 43.75 miles a day.
1. Given the points Al-1, 2) and B(7, 8), find the coordinates of the polnt P on the directed line segment JB that partitions AB in the ratio 1:3. Plot P along with segment AB. 10 B 6 (x,y) = (x1+k(x2 - x2),y. +k(y2-y) 2 210182632 2 68 110 2 24 6 8 -10 2. Find the coordinates of P so that P partitions AB in the ratio 5.1 with A(2, 4) and B(8, 10). L 3. Find the coordinates of P so that P partitions AB in the ratio 1 to 3 with A(-5, 4) and B(7,-4). 4. Find the coordinates of P so that P partitions AB in the ratio 3:4 with A(-9, -9) and B(5,-2).
Answers
We can find the point with help of the end points and the ratio so:
\(\begin{gathered} x=-1+\frac{1}{1+3}(7-(-1)) \\ x=-1+\frac{1}{4}8 \\ x=-1+2 \\ x=1 \end{gathered}\)now for y:
\(\begin{gathered} y=2+\frac{1}{1+3}(8-2) \\ y=2+\frac{1}{4}6 \\ y=3.5 \end{gathered}\)So now we can graph it so:
A person buys 32 one-liter bottles of soda bottles for a large company party. The store clerk offers cardboard carrying cases for the bottles and each case holds 8 bottles. Assuming each case would be filled and the person will not be carrying any loose bottles outside of a case, how many cases are needed?
Answers
The number of cases needed for 32, one-litre bottle is 4.
What is an Equation?An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
A person buys 32 one-litre bottles of soda
A case can carry 8 bottles
Let x represent the number of cases required
The equation formed will be
8 * x = 32
x = 32/8
x= 4
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I need help with the answer
Answers
Answer:
Step-by-step explanation:
plot on the x-axis your roots -2,-1,2, and 3
your graph will be (from left to right) staring in quadrant 2 and end in
quadrant 1 while going trough your roots someting like this \/\/
Corine and Shonda are reading the same book.
The rate at which Corine is reading the book can be represented by the equation y=32x,
where x
is the time in hours and y
is the number of chapters read.
Shonda's rate is represented by this graph.
A graph with the X-axis labeled Time in Hours and the Y-axis labeled Chapters Read. A line begins at the origin and passes through (1, 2), (2, 4), (3, 6), and continues on.
© 2017 StrongMind. Created using GeoGebra.
If the girls read the book at the same time, who will finish first? Why?
Select the option that correctly answers both questions.
Responses
Corine will finish first. Her ratio of chapters to hours is 32.
Shonda's rate of chapters to hours is 21,
and 32
is a greater slope than 21.
Corine will finish first. Her ratio of chapters to hours is Shonda's rate of chapters to hours is 2 over 1 textsf comma and 3 halves is a greater slope than
Shonda will finish first. Her ratio of chapters to hours is 21.
Corine's rate of chapters to hours is 32,
and 21
is a greater slope than 32.
Shonda will finish first. Her ratio of chapters to hours is Corine's rate of chapters to hours is 3 halves textsf comma and 2 over 1 is a greater slope than
Shonda will finish first. Her ratio of chapters to hours is 12.
Corine's rate of chapters to hours is 23,
and 12
is a greater slope than 23.
Shonda will finish first. Her ratio of chapters to hours is Corine's rate of chapters to hours is 2 thirds textsf comma and 1 half is a greater slope than
Corine will finish first. Her ratio of chapters to hours is 23.
Shonda's rate of chapters to hours is 12,
and 23
is a greater slope than 12.
Answers
If the girls read the book at the same time, who will finish first: A. Shonda will finish first. Her ratio of chapters to hours is 2/1. Corine's rate of chapters to hours is 3/2, and 2/1 is a greater slope than 3/2.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the slope of a line, we have the following;
Slope (m) = 2/1
Slope (m) = 2.
Based on the table, the slope is the change in y-axis with respect to the x-axis and for Shonda it is equal to 2/1 or 2. Therefore, Shonda would finish before Corine because 2/1 > 3/2.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
(16x²+24xy+9y²)÷(4x+3y)
Answers
Answer:
4x + 3y
Step-by-step explanation:
Answer:
4x+3y
Step-by-step explanation:
-5(8a+1)+6=281
Does anyone know the answer
Answers
Step 1: Distribute
-40a - 5 + 6 = 281
Step 2: Combine Like Terms
-40a + 1 = 281
Step 3: Move Variables and Constants to Different Sides
-40a = 280
Step 4: Divide
a = -7
Hope this helps!
a = -7
Step-by-step explanation;-5 ( 8a + 1 ) + 6 = 281
Step 1 :- Distribute -5 through parantheses.
-5 × 8a + 5 × 1 + 6 = 281-40a - 5 + 6 = 281Step 2 :- Combine like terms.
-40a + 1 = 281Step 3 :- Move constant to right-hand side and change their sign.
-40a = 281 - 1Step 4 :- Subtract the numbers.
-40a = 280Step 5 :- Divie both side by -40 .
-40a / -40 = 280 / -40a = -7
Pls help I need help
Answers
Answer:
10x + 2
Step-by-step explanation:
lim f(x + h) - f(x) / h = f'(x) = (5x² + 2x)' = 10x + 2
h→0
A rectangular pyramid with a height of 21 cm has a volume of 728 cm³. Calculate the length of its base if its breadth is 8 cm.
Answers
Hello !
Answer:
\(\Large \boxed{\sf length=13cm}\)
Step-by-step explanation:
The volume of a pyramid is given by \(\sf V_{pyramid}=\frac{1}{3} \times B\times h\) where B is the area of the base and h is the height.
This is a rectangular pyramid. We have where \(\sf B=l\times w\) l is the length and w is the width (breadth).
So \(\sf V_{pyramid}=\frac{1}{3} \times l\times w\times h\)
Given :
h = 21 cmw = 8 cml = x\(\sf V_{pyramid}=728cm^3\)Let's replace h, w, l, \(\sf V_{pyramid}\) with their values in the previous formula :
\(\sf 728=\frac{1}{3} \times x\times 8 \times 21\\728=56x\)
Let's solve for x !
Divide both sides by 56 :
\(\sf \frac{56x}{56} =\frac{728}{56}\\ \boxed{\sf x=13cm}\)
Have a nice day ;)
Santa decides to paint the house instead of putting on vinyl siding. The paint will cover 400 square feet per gallon. Use Santa's answer from 1,464 square feet to decide how many gallons of paint he'll need to buy for one coat. Remember that Santa can't buy part of a can paint.
Answers
Given that:
- The paint will cover 400 square feet per gallon.
- The area to paint is 1,464 square feet.
Let be "x" the number of gallons of he will need to buy for one coat.
In order to find the value of "x", you need to divide the total area to paint by the area one gallon covers.
You get:
\(\begin{gathered} x=\frac{1464ft^2}{400ft^2} \\ \\ x\approx4 \end{gathered}\)Hence, the answer is:
\(4\text{ }gallons\)A rotation by 2520° is how many full rotations?
O 10
O 5
07
O 14
Answers
7
a full rotation is 360°
divide 2520 by 360 it gives u 7.
7×360=2520
There are 7 complete rotations at 2520 degrees. Then the correct option is C.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
A rotation by 2520°.
Then the number of the rotations will be
⇒ 2520° / 360°
⇒ 7 rotation
Thus, the correct option is C.
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5t+7+8b
I need also help on -2(x+3)=_-6
Answers
The solution to the equation -2(x + 3) = -6 is x = 0.
To simplify the expression 5t + 7 + 8b, we can combine like terms.
There are two like terms in the expression: 5t and 8b.
Combining the like terms gives us:
5t + 8b + 7
Therefore, the simplified form of the expression 5t + 7 + 8b is 5t + 8b + 7.
Regarding the equation -2(x + 3) = -6:
To solve this equation, we can follow these steps:
Distribute the -2 to the terms inside the parentheses:
-2 * x + (-2) * 3 = -6
This simplifies to:
-2x - 6 = -6
Move the constant term to the right side by adding 6 to both sides of the equation:
-2x = 0
Divide both sides of the equation by -2 to isolate the variable x:
x = 0 / -2
Simplifying the right side of the equation gives us:
x = 0
The solution to the equation -2(x + 3) = -6 is x = 0.
The simplified expression 5t + 7 + 8b remains as 5t + 8b + 7, and the solution to the equation -2(x + 3) = -6 is x = 0.
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