Answer:the area of the base of the box, B, is 6 ft2
The volume of the box is 33ft3
Step-by-step explanation:
Formula to find area of the base is bh (bass x height)
Formula for volume is (base x length)
The required volume of the packing box is 33 ft^3 and area of the base B is 6 ft^2
Area of the Rectangular Prism:
The area of the rectangular prism having a length and b width with h height is
Volume = a b h
If we are interested t find area of the base then
B = a b
How to calculate volume of rectangular prism?here we have given that
a = 3 feet
b = 2 feet
h = [tex]5\frac{1}{2}[/tex] = 11/2 feet
Therefore the area of the base B = a b = 3 x 2 = 6 ft^2
Now the volume of the object is
V = B h
V = 6 x 11/2 = 33 ft^3
This is the required volume of the rectangular prism
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Which statement is true about the box plots?
The correct statement in the box plot is that the ranges of the box plot is the same but the interquartile range are different
How to find the range
The range in a box plot is the difference between the maximum and minimum values
Solving for the range
Marc's class: 10 - 1 = 9
Sue's class: 12 - 3 = 9
Solving for the interquartile range
Marc's class: 9 - 3 = 6
Sue's class: 10 - 5 = 5
What is the value of 3z when z = 1.2
Answer:
3.6
Step-by-step explanation:
3z when z = 1.2
3(1.2)= 3 x 1.2
= 3.6
Answer:
3.6
Step-by-step explanation:
You plug in 1.2 to x
3(1.2)
do 12x3=36
Then add the decimal point
3.6
0.000000123 as múltiple of a power of 10
Answer:
answer is 1230
Step-by-step explanation:
0.000000123 since 10 is positive you go right 10 times i hope this is right
Which formula gives the x-coordinates of the maximum values for y = cos(x)? k pi for any integer k k pi for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis StartFraction k pi Over 2 EndFraction for any positive integer k StartFraction k pi Over 2 EndFraction for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis
Answer:
k pi for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis
Step-by-step explanation:
The cosine is a maximum when its argument is at multiples of 2π.
k pi for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis
_____
Both of us could probably read this more easily if you would use appropriate math symbols.
Answer:
B
Step-by-step explanation:
64.08 Round to the nearest hundredth
Answer: 64.08
Step-by-step explanation:
Since the 8 is in the hundredth place and there's no thousandths place the number doesn't change leaving u with 64.08
Translate the given phrase into an algebraic expression and simplify if possible: the quotient of 12 and the product of 3 and 4.
Answer:
Expression: 12/(3*4)
Answer: 1
Step-by-step explanation:
[tex]\frac{12}{3*4} \\[/tex]
[tex]\frac{12}{12}=1[/tex]
Final answer:
The phrase 'the quotient of 12 and the product of 3 and 4' translates to the algebraic expression 12 ÷ (3 × 4), which simplifies to 1.
Explanation:
To translate the given phrase into an algebraic expression, we need to understand the terms used. The phrase is 'the quotient of 12 and the product of 3 and 4'. A 'quotient' is the result of division, and a 'product' is the result of multiplication. First, let's find the product of 3 and 4, which is 3 × 4. This equals 12. Now, we take the quotient of 12 by that product, which means we divide 12 by 12. So, the algebraic expression is 12 ÷ (3 × 4).
When we simplify this expression, since 3 × 4 equals 12, and 12 divided by 12 is 1, the expression simplifies to 1. Therefore, the simplified algebraic expression for the phrase 'the quotient of 12 and the product of 3 and 4' is 1.
In ΔDEF, d = 92 cm, e = 42 cm and ∠F=141°. Find the length of f, to the nearest centimeter.
Answer:
127.4
Step-by-step explanation:
a^2+b^2-2(ab)CosC
The side f will be 127.41 cm long.
What is cosine law?The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.
Given is triangle DEF, we need to find the length of the side f, if d = 92 cm, e = 42 cm and ∠F = 141°.
So, using the cosine law,
[tex]c^2=a^2+b^2-2ab\cdot \cos \left(\gamma \right)[/tex]
Therefore,
[tex]f=\sqrt{d^2+e^2-2de\cos 141_{\degrees}[/tex]
[tex]f=\sqrt{42^2+92^2-2\cdot \:42\cdot \:92\cos \left(141^{\circ \:}\right)}[/tex]
f = 127.41
Hence the side f will be 127.41 cm long.
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Suppose you invest $20,000 at the age of 40, and agree to start receiving
payments at the age of 50. At age 47, you decide you want to withdraw $7500
from your account. What is the IRS fee you will have to pay? Remember, the
IRS charges 10% if you withdraw before you are 59.5.
O
O
o
O
A. $750.00
B. $75.00
C. $500.00
D. $100.00
SURMIT
The amount of the IRS fee you will have to pay is A. $750.00.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
Percentage is usually denoted by the symbol '%'.
Given that,
Amount you invested at the age of 40 = $20,000
You will receive payments at the age of 50.
Amount withdrawn at the age of 47 = $7500
IRS charges 10% if you withdraw before you are 59.5.
Since your age is 47, you have to pay 10% IRS fees.
IRS fees = 10% of 7500
= 10/100 × 7500
= $750
Hence the IRS fee you will have to pay is A. $750.00.
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What’s the answer????
Answer:
20
Step-by-step explanation:
FOR 100 POINTS!!
Consider the quadrilateral below. What is the measure of angle Z
A:24
B:58
C:68
D:112
Answer:
Option C
Step-by-step explanation:
If angle w is 112, angle x has to also be 112
so 112+112=224
all of the angles summed up has to 360, so you subtract 360-224
which equals 136
then divide by 2 and you get 68
Hopefully this makes sense
Answer:
The answer is C: 68
Step-by-step explanation:
The trapezoid has a total amount of 360 degrees.
W = 112 degrees.
W and X are congruent so X also equals 112
SO if you add them together, it is equal to 224.
Subtract from 360 and 136 is left.
Divide by 2 because there is Z and Y(2 angles left) which are also congruent.
This gives the angles measurements of 68 for both Z and Y
Which expression is equivalent to 25*4
A.4x25
B.(20+4)x5
C.20 x 5 x 4
D.(20+5) x (20+4)
Write 5,482 in expanded form
Answer:
5000 + 400 + 80 + 2
Which of the following points is on the circle given
by the equation (x − 5)2 + (y + 3)2 = 25?
A. (5, −3)
B. (8, −6)
C. (2, 1)
D. (4, −8)
Final answer:
The correct point that lies on the circle defined by the equation (x − 5)² + (y + 3)² = 25 is point C (2, 1), as substituting these values into the equation results in 25, which matches the right side of the equation. Thus, option C is correct.
Explanation:
To find which point is on the circle given by the equation (x − 5)² + (y + 3)² = 25, you can plug the x and y values from each option into the equation and see if it holds.
For point A (5, − 3), the equation becomes (5 − 5)² + (− 3 + 3)², which simplifies to 0 + 0 = 0. This is not equal to 25, so point A is not on the circle.
For point B (8, − 6), the equation becomes (8 − 5)² + (− 6 + 3)², which simplifies to 9 + 9 = 18. This is not equal to 25, so point B is not on the circle.
For point C (2, 1), the equation becomes (2 − 5)² + (1 + 3)², which simplifies to 9 + 16 = 25. This is equal to 25, so point C is on the circle.
For point D (4, − 8), the equation becomes (4 − 5)² + (− 8 + 3)², which simplifies to 1 + 25 = 26. This is not equal to 25, so point D is not on the circle.
The correct answer is point C (2, 1), as it satisfies the equation of the circle.
What is the product of 4.5 ⋅ 105 and 1.6 ⋅ 102? (1 point)
6.1 ⋅ 10^7
7.2 ⋅ 10^7
6.1 ⋅ 10^10
7.2 ⋅ 10^10
Answer:
Answer is option b) 7.2×10^7
Step-by-step explanation:
[tex]we \: know \: that \: \\ {a}^{m} \times {a}^{n} = {a}^{m + n} \\ {10}^{5} \times {10}^{2} = {10}^{5 + 2} \\ = {10}^{7} \\ 4.5 \times 1.6 = 7.20 \\ = 7.2 \\ hence \: the \: answer \: is \: 7.2 \times {10}^{7} [/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
The product of 4.5 ⋅ 105 and 1.6 ⋅ 102 is 7.2 ⋅ 107. This is achieved by first multiplying the coefficients (4.5 and 1.6), and then adding the powers of 10 (105 + 102).
Explanation:First, to multiply these numbers in scientific notation, we begin by multiplying the coefficients and then add up the powers of 10.
So, 4.5 ⋅ 1.6 = 7.2 and then 105 + 102 = 107. Therefore, the product of 4.5 ⋅ 105 and 1.6 ⋅ 102 is 7.2 ⋅ 107. This means it is the second option listed in your potential multiple choice answers above.
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a = 8, b = 15, C = 17
Verify if the sides form a
right triangle.
If yes, color
Z red.
If no, color
2 yellow
Answer:
yes, if this is not how you do it i am sorry i tried :(
Step-by-step explanation: Because 8 squared is 64, 15 squared is 225 and 17 squared is 289, 64+225=289 so it will form a right triangle and 289 squared is 17.
Plz help me I will give you brainliest
The answer for this question is C
Answer:
I believe the answer is 12 hours long all year seen a diagram of the earths axis over all the year
Step-by-step explanation:
mrs.bonnett's recipe for banana bread calls for three and one fourths cups of sugar. she wants to make 6.5 batches so that she has enough for everyone. how much sugar will she need
Answer:
[tex]21\frac{1}{8}[/tex] Cups
Step-by-step explanation:
[tex]6.5(3\frac{1}{4} ) = 21\frac{1}{8}[/tex]
4(1 + 9x)
i need assistance!
Answer:
4+36x
Step-by-step explanation:
Use the distributive property to multiply the equation. 1 times 4 is 4. 9 times 4 is 36 and you must leave the x as a variable.
Help Please please please
Answer:
its 1234
Step-by-step explanation:
Melisa has recently inherited $15,000 that she wants to deposit into a savings account for 10 years. She has determined that her two best bets are an account that compounds annually at a rate of 3.95% and an account that compounds continuously at an annual
rate of 3.85%. How much interest could Melisa gain after 10 years if she chooses the 3.85% account?
A. $22,097.15
B. $22,044.21
C. $7,097.15
D. $7,044.21
E. None of them
She will gain $ 6885.4896 after 10 years if she chooses 3.85% account.
Step-by-step explanation:
Given,
Principle (P) = $ 15000
Time (T) = 10 years
Rate of interest (R) = 3.85%
To find the compound interest.
Formula
CI = [tex]P(1+\frac{R}{100} )^{T}-P[/tex]-P
Putting the values we get,
CI = [tex]15000(1+\frac{3.85}{100} )^{10}-15000[/tex]
= 21885.4896-15000
= 6885.4896
Hence,
She will gain $ 6885.4896.
I need help with this problem
Answer:
easy so first 190-15=175 175 lbs. is the light heavyweight class weight limit
Step-by-step explanation:
5+4q=6+3q
Solve for q.
Answer:
q=1
Step-by-step explanation:
5+4q=6+3q
subtract 3q on both sides
5+q=6
subtract 5 on both sides
q=1
BRANLIEST PLZ!!!!
Answer:
q=1
Step-by-step explanation:
5+4q=6+3q
-3q -3q
5+q=6
-5 -5
q=1
Ms. Lanigan rolls a fair die 300
times. How many times does she roll an even
number, theoretically and experimentally?
Should be around 150 as 3/6 of the numbers on a die are even so thats 1/2 and 300x(1/5) or just 300x0.5 or just 300/2 equals to 150
Theoretically, it would be 150 times that it rolls even. For half of the dice's sides being even and an equal chance of it landing on any of them.
Experimentally, it could be anything between 0-300, although after so many trails in it, it would be extremely likely that it would be near 150.
If it was only 10 trials of instance it would likely have a greater margin of difference compared to the theoretical probability.
Paula walked on the treadmill for 13 minutes. The machine told her she had a total of 858 strides. What was her rate in strides per minute?
A. 65 strides per minute
B.
66 strides per minute
C. 64 strides per minute
D. 67 strides per minute
Answer:
64
Step-by-step explanation:
832/13
While driving to the store, your vehicle traveled 30 miles. While you we traveling, your vehicle traveled at an average speed of 15 miles per hour due to traffic. How long did it take you to get to the store? Calculating Time.
Whoever answers correctly gets marked brainliest :)
Answer:
2 hours
Step-by-step explanation:
30 miles/x hours = 15 miles/1 hour
30 = 15x
x = 2 hours
To find the time it took to get to the store, divide the distance traveled (30 miles) by the average speed (15 mph), which results in 2 hours. Thus, the trip took 2 hours.
To calculate the time it took to get to the store, we can use the formula time = distance ÷ speed. In this case, the vehicle traveled 30 miles at an average speed of 15 miles per hour. Therefore, the time can be calculated as follows:
Time = 30 miles ÷ 15 miles per hour = 2 hours.
So, it took 2 hours to get to the store.
How does the graph of f(x) - 3(x)|x+2|+4 relate to its parent function?
A. The parent function has been translated up.
B. The parent function has been translated to the left.
C. The parent function has been compressed.
D. The parent function has been stretched.
Answer:
A.] The parent function has been translated up.
B.] The parent function has been translated to the left.
D.] The parent function has been stretched.
Note:
This may be late, but hopefully this answers those who still seek this question <3
The parent function has been translated up. The parent function has been translated to the left. The parent function has been stretched. Then the correct options are A, B, and, D.
What is a parent function?A parent function in mathematics is the simplest function in a family of functions that keeps the definition of the entire family.
The function f(x) - 3|x+2|+4 is graphed. The parent function has been translated up. The parent function has been translated to the left. The parent function has been stretched.
Hence, the correct options are A, B, and, D.
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Which trend line properly describes the data relationship in the scatter plot
Answer:
1st one
Step-by-step explanation: The line is the average of all the dots
Answer:
B
Step-by-step explanation:
Got it right
PLEASE ANSWER Which of the following is not a step necessary to create a triangle from three given sides?
Draw the remaining sides of the triangle by connecting the endpoints of the segments with the intersection point of the circles.
Measure the final angle formed. Ensure it is greater than 90°.
Create a circle whose center is one of the endpoints of the segment. The length of the radius of the circle is one of the other given lengths.
Draw a segment with one of the given lengths.
Answer:
"Create a circle whose center is one of the endpoints of the segment. The length of the radius of the circle is one of the other given lengths." is not necessary to create a triangle
Step-by-step explanation:
What does [8+(2*12)]*2 equal?
Answer:
64
Step-by-step explanation:
take 2x12=24+8=32x2=64
Answer:
64 is the answer.
Step-by-step explanation:
To solve this problem, you need to follow the rules of PEMDAS.
That means what is the the parentheses is solved first, then exponents, then you solve the multiplication and division, and then you solve the addition and subtraction.
2*12 is the most specific parentheses, therefore it is solved first.
2*12 equals 24.
The problem is now
[8+24] *2
Then you add 8 and 24, which is also in the parentheses.
8 + 24= 32
The problem is now :
32*2
Then you solve the multiplication.
32*2= 64
Therefore the answer is 64.
The length of a rectangle is 4 feet less than 3 times its width. The perimeter of the rectangle
is 54 feet. Which equation can be used to find the width (w) of the rectangle?
Final answer:
To find the width (w) of the rectangle, set up an equation using the given information and the formula for the perimeter of a rectangle. Solve the equation to find the width.
Explanation:
To find the width (w) of the rectangle, we can set up an equation based on the given information and the formula for the perimeter of a rectangle. Let's start by assigning variables: let w be the width of the rectangle and let l be the length of the rectangle. According to the problem, the length of the rectangle is 4 feet less than 3 times its width. So we have the equation l = 3w - 4. The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter. Since the perimeter is given as 54 feet, we have the equation 54 = 2(l + w). We can substitute the expression for l from the first equation into the second equation: 54 = 2((3w - 4) + w). Simplifying this equation will allow us to solve for the width (w) of the rectangle.