The length of each edge of a cube is 22 inches. The area of each face of the cube is square inches. The surface area of the cube is square inches.
Answer: Each face would have an area of 22 * 22 = 484 square inches.
Since a cube has 6 faces, then the total area = 6 * 484 = 2,904 square inches.
Step-by-step explanation:
for every five baseball cards that Mickey has Mike has 3 baseball cards if Mike has 72 baseball cards how many cards does Mickey have?
Mickey has 3 cards.
Explanation:To determine how many cards Mickey has, we can set up a proportion using the information given. We know that for every five cards Mickey has, Mike has 3 cards. So the proportion would be: (Mickey's cards) / 5 = 3 / (Mike's cards).
Given that Mike has 72 cards, we can plug that into the proportion: (Mickey's cards) / 5 = 3 / 72.
To solve for Mickey's cards, we can cross multiply: (Mickey's cards) = (3 / 72) * 5.
After simplifying, we find that Mickey has 3.125 cards. However, since we can't have a fraction of a card, we know that Mickey has 3 cards.
A 2005 study by the fisheries research services in aberdeen, scotland, suggests that the average length of the species clupea harengus (atlantic herring) as a function of age t (in years) can be modeled by l(t) = 32(1 − e−0.37t) cm for 0 ≤ t ≤ 13. how fast is the length changing at age t = 7 years?
The rate of change of length of the Clupea harengus (Atlantic herring) at t = 7 years is approximately 2.8 cm per year.
Explanation:To determine how fast the length of Clupea harengus (Atlantic herring) is changing at age t = 7 years, you need to calculate the derivative of the given function, l(t) = 32(1 − e−0.37t), with respect to time. The derivative measures the rate of change of a function, which in this case corresponds to the speed of growth of the herring.
The derivative of l(t) with respect to t is given by: l'(t) = 32 * 0.37e^(-0.37t).
Substitute t = 7 into this derivative function to get: l'(7) = 32 * 0.37e^(-0.37*7) ≈ 2.8 cm/year.
So, the length of the Atlantic herring is increasing at approximately 2.8 cm per year when the herring is 7 years old.
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To find the rate at which the length of the Atlantic herring is changing at age t = 7 years, we need to take the derivative of the length function and evaluate it at t = 7.
Explanation:To find the rate at which the length of the Atlantic herring is changing at age t = 7 years, we need to find the derivative of the length function with respect to time. The function l(t) = 32(1 − e−0.37t) represents the average length of the herring at age t. Taking the derivative of this function gives us:
l'(t) = 32 * (-0.37) * e−0.37t
Now, we can substitute t = 7 into the derivative to find the rate of change at that age:
l'(7) = 32 * (-0.37) * e−0.37(7)
This expression can be simplified further to find the exact value of the rate of change.
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Find the area under the standard normal distribution curve for each.
a. between z 0 and z 1.95
b. between z 0 and z 0.37
c. between z 1.32 and z 1.82
d. between z 1.05 and z 2.05
e. between z 0.03 and z 0.53 2. find
To find the area under the normal distribution curve for a range of z-values, you refer to a z-table and possibly subtract two areas to find the area between two z-values. The areas above were calculated as examples.
Explanation:The subject in question involves finding the area under the standard normal distribution curve for various z-values. This is a concept in statistics that evaluates the probability which a particular range of values under the normal distribution curve might occur.
For z between 0 and 1.95, we refer to the z-table and find the area under the curve as 0.975.For z between 0 and 0.37, using the z-table, the area under the curve is 0.644.For z between 1.32 and 1.82, we find the areas corresponding to each value on the z-table and subtract them. This is 0.9664 - 0.9066 = 0.0598.For z between 1.05 and 2.05, again we find the areas corresponding to each value and subtract them, which gives us 0.975 - 0.8543 = 0.1207.For z between 0.03 and 0.53, we find the corresponding areas and subtract, resulting in 0.7054 - 0.5120 = 0.1934.Learn more about standard normal distribution here:https://brainly.com/question/29509087
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Austin is watching a football game. His team loses 9 yards and then gains 5 yards. He doesn’t watch the next play, but afterwards he sees that his team now has a total loss of 1 yard. How many yards did the team gain or lose on the play Austin missed? Show your work.
A birthday cake was cut into equal pieces, and five pieces were eaten. The fraction 2/7 shows how many pieces are left. According to the fraction, how many pieces were not eaten
A.2
B.7
C.12
D.5
A rectangular prism is 3 feet long, 8 feet wide, and has a height of 6 feet. what is its volume?
Hey I need geometry help asap (please Help) and you get some points
the answer is A x=15 and y =12
In modified boxplots, a data value is a(n) _______ if it is above q3plus+(1.5)(iqr) or below q1minus−(1.5)(iqr).
In modified boxplots, a data value is a potential outlier if it is outside the range of Q3 + (1.5)(IQR) or Q1 - (1.5)(IQR). The IQR is the spread of the middle 50% of the data, calculated as Q3 - Q1.
Explanation:In modified boxplots, a data value is a potential outlier if it is above Q3 + (1.5)(IQR) or below Q1 - (1.5)(IQR). The interquartile range (IQR) is crucial in this determination, representing the spread of the middle 50 percent of the data. It is found by subtracting the first quartile (Q1) from the third quartile (Q3). For example, if Q1 is 2 and Q3 is 9, the IQR is 7. Any data value greater than 9 + (1.5)(7) or less than 2 - (1.5)(7) would be considered a potential outlier.
Constructing a box plot involves identifying these five key values: minimum value, first quartile, median, third quartile, and maximum value. The box plot visually represents the data's spread, with whiskers extending to the most extreme values within the acceptable range, and separate marks for potential outliers.
Solve each system by substitution
y=-4x + 5
y= -2x + 1
Marcello is constructing the perpendicular bisector of AB¯¯¯¯¯. He has already constructed arcs as shown.
What should Marcello do for his next step?
a) Place the point of the compass on point X and draw an arc, using AY as the width for the opening of the compass.
b) Use the straightedge to draw a line through points X and Y.
c) Use the straightedge to draw AX←→ and AY←→.
d) Place the point of the compass on point X and draw an arc, using AX as the width for the opening of the compass.
Answer: "Use the straightedge to draw a line through points X and Y." is the right answer.
Step-by-step explanation:
To perpendicular bisector of line segment AB. There are following steps:
1) Draw arcs from points A and B on the both sides of AB.
2) Name the intersection points as X and Y.
3) Use the straightedge to draw a line through points X and Y.
4) Name the point as O
hence we have construct perpendicular bisector XY of AB which bisects at O.
Find the slope write into slope intercept form (19,-16),(-7,-15)
Answer: [tex]m= -\frac{1}{26}[/tex]
(19,-16) = (x1,y1)
(-7-15) = (x2,y2)
Slope= [tex]\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{-15-(-16)}{-7-19}[/tex]
= [tex]\frac{-15+16}{-7-19}[/tex]
= [tex]\frac{-15+16}{-26}[/tex]
= [tex]-\frac{1}{26}[/tex]
8. Divide (18x^3+12x^2-3x) divided by 6x^2
9. Divide (2x^3-x^2-24x+12) divided by (2x-1)
How to I work out the answer?
Wilma and Betty are playing a number game. Wilma tells Betty, "I'm thinking of a number between 1 and 10. If I take the number and add 4 to it and then multiply that by 3, I get 30." What number is Wilma thinking of?
To find the number Wilma is thinking of, we create an equation and solve for x.
Explanation:To solve this problem, we need to create an equation based on the information given. Let's suppose the number Wilma is thinking of is x. According to the problem, if we add 4 to x and then multiply that result by 3, we get 30. We can write this as the equation 3(x + 4) = 30. To find the value of x, we need to isolate it. First, distribute the 3 to both terms inside the parentheses: 3x + 12 = 30. Next, isolate x by subtracting 12 from both sides of the equation: 3x = 18. Finally, solve for x by dividing both sides of the equation by 3: x = 6. Therefore, Wilma is thinking of the number 6.
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What is (0.3 x 2.8)2
The length of a rectangle is 5 in. more than 3 times its width. the area of the rectangle is 50in.2. a quadratic function represents the dimensions of the rectangle. what is the domain of the function?
The spelling contest awards four prizes Tim,Sam,Jen, and Kate all made it to the final round. In how many ways can first, second, third, and fourth place be assigned
In 24 ways the first, second, third, and fourth place be assigned
What is Permutation?A permutation is an arrangement of objects in a definite order. .
Given that, for a spelling contest awards four prizes Tim, Sam, Jen, and Kate all made it to the final round.
We need to find in how many ways can first, second, third, and fourth place be assigned.
This can be arranged in 4! ways.
4!=4×3×2×1
4!=24
Hence in 24 ways the first, second, third, and fourth place be assigned.
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If the volumes of two similar rectangular prisms are 40mm and 135mm find the scale factor of the two rectangular prisms.
(The answers are in fraction form)
A. 1/4
B. 8/27
C. 3/5
D. 2/3
The scale factor of the two rectangular prisms is 3/2 of the given problem the volumes of two similar rectangular prisms are 40 mm and 135 mm
To find the scale factor between two similar rectangular prisms, we can compare their volumes. The scale factor is the ratio of the cube root of the volumes.
Let's denote the volume of the first rectangular prism as V1 and the volume of the second rectangular prism as V2.
[tex]V1 = 40 mm^3\\V2 = 135 mm^3[/tex]
The scale factor (SF) can be calculated as follows:
[tex]SF = (V2)^{(1/3)} / (V1)^{(1/3)[/tex]
Plugging in the given values:
[tex]SF = (135)^{(1/3)} / (40)^{(1/3)[/tex]
To simplify the calculation, we can rewrite the values as prime factorization:
[tex]135 = 3^3 * 5\\40 = 2^3 * 5[/tex]
Now, let's calculate the cube roots:
[tex]SF = (3^3 * 5)^{(1/3) }/ (2^3 * 5)^{(1/3)}[/tex]
Using the property of exponents [tex](a^{(m/n) }= (a^m}^{(1/n)})[/tex]:
[tex]SF = (3^{(3/3)} * 5^{(1/3)}) / (2^{(3/3)} * 5^{(1/3)})[/tex]
Simplifying the fractions:
[tex]SF = 3 * 5^{(1/3)} / 2 * 5^{(1/3)[/tex]
The [tex]5^{(1/3)}[/tex] terms cancel out:
SF = 3/2
Therefore, the scale factor of the two rectangular prisms is 3/2 of the given problem the volumes of two similar rectangular prisms are 40 mm and 135 mm.
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Write the point-slope form of the equation of the line that passes through the origin and has a slope of 2. include your work in your final answer. type your answer in the box provided or use the upload option to submit your solution.
If one side of a square notebook measures 20 cm, what is the area of the front cover of the notebook?
The area of the front cover of the square notebook is A = 400 cm²
What is the area of a square?A square is a four sided quadrilateral with all of the side having equal lengths. The total internal angle of a square is 360° with each side perpendicular to each other.
A square is a 4 sided polygon where all the sides are of equal length.
The area of the square is the square of any one of its side
Let a be the side of the square
Area of the square = a²
Given data ,
Let the area of the square be represented as A
Now , the side length of the notebook a = 20 cm
And , the area of the front cover of the notebook = area of square
On simplifying , we get
The area of front cover A = a²
The area of the front cover of the notebook A = 20 x 20
The area of the front cover of the notebook A = 400 cm²
Hence , the area of the square notebook is 400 cm²
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A board is 4.6 feet long. How many meters long is the board?
Please help me with these questions thank you.
Answer:
CPCTC; JP≅MI; SAS
Step-by-step explanation:
For the first question, we use the congruence statement. When we are using the congruence statement to match corresponding pieces, the justification is that Congruent Parts of Congruent Triangles are Congruent, or CPCTC.
For the second question, we again use CPCTC and the congruence statement. P matches T and B matches I, so PB = TI and B = I. J matches M also, so BJP = IMT. However, P does not match I, so JP does not equal MI.
For the third question, we have two sides (AM matching ZD and BD matching itself) and an included angle (AMD and ZDM). This is Side-Angle-Side, or SAS.
Lorrae swims at a constant speed, s, for 2 hours. Create a formula for the distance she swims, d.
The formula for the distance Lorrae swims at a constant speed for 2 hours is d = 2s, where d is distance and s is her speed.
Explanation:The question is asking for a formula to calculate the distance that Lorrae swims. Since distance (d) is equal to speed (s) multiplied by time (t), and we know that Lorrae swims at a constant speed, s, for 2 hours, a formula for her distance would be d = s * t.
In this case, the time, t, is 2 hours. So, we can substitute t with 2 in our formula. Hence, the formula for the distance Lorrae swims is d = s * 2 or d = 2s. This is the equation you can use to compute the distance Lorrae swims for any given speed at a constant period of 2 hours.
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Philip has 2,000 and spends $23.75 on supplies.he divides the remaining amount equally among his 8 employees how much does each employee receive?
Is the sum of two angles sometimes , always , or never an obtuse angle ?
Choose the correct answers for interest in dollars and the proceeds for the following problem. Sam Sounds received a $320 discount loan to purchase a stereo. The loan was offered at 16% for 90 days. Find the interest in dollars and the proceeds for the following problem.
The Interest is $12.595 while the value of the Proceeds is $307.405
How to find the interest and proceeds?The amount of loan; A = $320
The discount rate = 16%=0.16
Time = 90 days = 90/365 year = 0.246 year
The formula of interest is;
Interest = Amount × Discount rate × Time
Thus;
Interest = 320 × 0.16 × 0.246
Interest = $12.595
Proceed = Amount - Interest
Proceed = $320 - $12.595
Proceeds = $307.405
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Answer:
12.80
307.20
Step-by-step explanation:
Which of these shows the result of using the first equation to substitute for y in the second equation, then combining like terms?
y = 3x
2x + 3y = 55
A. 11x = 55
B. 5x = 55
C. 9x = 55
D. 5y = 55
Answer: A(11x=55)
Step-by-step explanation:
in the equation 2x + 3y = 55, subsitute 3y for 3x, because y = 3x. this will result in the equation 2x + 3(3x) which equals 11x. so 11x=55
Use the distributive property of multiplication to find the missing number.use the distributive property of multiplication to find the missing number.
The distributive property of multiplication involves multiplying a number with each term inside a bracket, then adding or subtracting the results. To find a missing number, set up an equation based on the distributed multiplication and solve for the unknown.
Explanation:The distributive property of multiplication can be simply defined as a(b + c) = ab + ac. In this equation, 'a' is distributed over 'b' and 'c', which means we multiply 'a' individually with 'b' and 'c', and then add the results.
Let's consider an example: 2(3 + 4) = ? Here, applying the distributive property, we multiply 2 with 3 and 2 with 4 separately. Hence, 2*3 + 2*4 = 6 + 8 = 14. So, the result is 14.
To solve distribution problems with a missing number, you would set up the equation and solve for the unknown. For example, if we have 3(x+5) = 21, we can first distribute the 3 to get 3x + 15 = 21. Then, you'd subtract 15 from both sides to isolate the 'x'. So, 3x = 21 - 15, which simplifies to 3x = 6. Finally, dividing both sides by 3 gives x = 2. So, the missing number is 2.
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I need to skip count by ten from 350 to 240
Skip counting by ten from 350 to 240 involves starting at 350 and counting backwards by subtracting ten each time until you reach 240. The sequence would look as follows: 350, 340, 330, 320, 310, 300, 290, 280, 270, 260, 250, 240.
Explanation:In Mathematics, when asked to 'skip count' it means that you are counting up or down by a specified number, in this case, by ten. However, the student's question asks to skip count by ten from 350 to 240, which would require counting backwards or decreasing the count by ten each time.
To skip count by ten from 350 to 240, you would start at 350 and then subtract 10 each time, like this: 350, 340, 330, 320, 310, 300, 290, 280, 270, 260, 250, 240. Note: 240 is included in the sequence as it is the final number we're skip counting down to.
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