a rectangular hat box has a volume of 5184 cubic inches. The box is 24 inches long by 18 inches wide what is the hat box's height ?
Answers
A rectangular box has a volume of:
\(V=lwh\)Plugging the values given we have:
\(\begin{gathered} 5184=24\cdot18\cdot h \\ 5184=432h \\ h=\frac{5184}{432} \\ h=12 \end{gathered}\)Therefore the height of the box is 12 inches.
Related Questions
Find x when () = 2. Please explain step by step
Answers
Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.
Step-by-step explanation:
Fill in the table 'using this function rule.
y = -5x+2
x
-1
0
1
2
y
0
0
0
X
4
S
Answers
Answer:
7, 2, -3, -8
Step-by-step explanation:
y = -5x + 2 Substitute in -1 for x
y = -5(-1) + 2
y = 5 + 2
y = 7
y = -5x + 2 Substitute in 0 for x
y = -5(0) + 2
y = 0 + 2
y = 2
y = -5 + 2 substitutes in 1 for x
y = -5(1) + 2
y = -5 + 2
y = -3
y = -5x + 2 Substitute in 2 for x
y = -5(2) + 2
y = -10 + 2
y = -8
Helping in the name of Jesus.
discs of radius 4 cm are cut from a rectangular plastic sheet of length 84 cm and width 24 cm
Answers
Answer:
If the radius of the circle is 4, then the diameter is 8. Therefore you need an 8 by 8 square cut outs out of 84 by 24 rectangular cardboard to make a circle.
Step-by-step explanation:
The floor of a swimming pool is covered in 525 blue, 300 green and 75 white tiles. What is the ratio of blue to white tiles?
What is the ratio of the blue and white tiles
Answers
Aka 7:1
for a logistic regression model estimated as
P(personal loan=yes\income=x0=1\1+e6.3525--.0392x
The probability of accepting a personal loan offer for an individual with an income of 50,000 dollars (x=50) is 1.22%
The Odds of accepting the loan offer for this person is 0.0124
Question:
What is the odds ration of income? Round it to 5 decimal places.
a. 1.03998
b. 0.96156
c. Cannot be determined
Answers
The odds ratio of income is 1.00320, rounded to 5 decimal places.
The odds ratio of income can be calculated using the formula given below:
odds ratio = odds of personal loan when income increases by 1 unit
Odds of a personal loan is the ratio of probability of acceptance to probability of rejection.
Odds of personal loan = P(personal loan=yes) / P(personal loan=no)P(personal loan=yes) = 0.0122
P(personal loan=no) = 1 - P(personal loan=yes) = 0.9878
Odds of personal loan = 0.0122 / 0.9878 = 0.0124
The logistic regression model estimated as P(personal loan=yes|income=x) = 1 / (1 + e(-6.3525+0.0392x))
Hence, P(personal loan=yes|income=x) = 1 / (1 + e(-6.3525+0.0392x)) = 0.0122
P(personal loan=yes|income=x+1) = 1 / (1 + e(-6.3525+0.0392(x+1))) = 0.012414
We have, odds ratio = odds of personal loan when income increases by 1 unit
odds ratio = 0.012414 / 0.0124 = 1.0032 ≈ 1.00320
Round the answer to 5 decimal places = 1.00320
The odds ratio of income is 1.00320, rounded to 5 decimal places.
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Question 6 of 10
Select the action you would use to solve x - 3 = 12. Then select the property
that justifies that action.
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Subtract 3 from both sides.
D. Property: Addition property of equality
E. Property: Multiplication property of equality
F. Property: Subtraction property of equality
SUBMIT
Answers
Answer:
A, D
Step-by-step explanation:
When solving for x, we want to get all x terms on one side and all non-x terms on the other side. To make it so that x is by itself, we need to get rid of -3. We can do this by adding 3 to both sides, which demonstrates the addition property of equality. This property states that if you add a quantity to one side of an equation, you must add the same quantity to the other side as well.
PLS HELP ME PLSS!!!!! ; _ ;
Answers
Answer:
a) P(not red) = 37/49
b) P(purple) = 17/49
Step-by-step explanation:
Prob. of not red = (20+17) / (12+20+17) = 37/49
how is finding 8x3/4 similar to finding 3/4 of 8
Answers
Answer: your answer would be 6
8*3=24/4 and 24/4=6
Step-by-step explanation: Hope this help :D
Answer:
Because in order to find 3/4 of 8, you must solve for 8 * 3/4.
A helpful tip is that "of" is one of the giveaways of a multiplication problem. Others include but are not limited to, "multiply, " "product," "by," "times," "area," "twice," "double," "thrice," "triple," and "quadruple."
I would appreciate Brainliest, but no worries.
What is the mode of this data set?
{4, 15, 6, 11, 7, 4, 3, 14}
Answers
Answer:
4
Step-by-step explanation:
A mode is the number having the highest frequency, that is, the number which occurs the most times. (The number which occurs the most here is 4, there are two 4s. You only have one of the rest of the numbers.)
What is the solution to x2 – 9x < –18? ASAP will give brainliest
x < –6 or x > 3
–6 < x < 3
x < 3 or x > 6
3 < x < 6
Answers
The solution to the inequality equation \(x^{2}\) – 9x < –18 is 3 < X < 6
Inequality equationInequality equation means a mathematical expression in which the sides are not equal to each other
\(x^{2}\) – 9x < –18
Rewrite in standard form
x^2 -9x +18 < 0
Factorise the equation
\(x^{2}\) - 3x -6x +18 < 0
x (x - 3) - 6 (x - 3) < 0
(x - 3) ( x- 6) < 0
(x - 3) < 0
x < 3
( x- 6) < 0
x < 6
3 < X < 6
Therefore, the solution to the inequality is 3 < X < 6
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The sum of two numbers is "-46" . One number is 13 more than the other one. Find the numbers.
Answers
the best way to solve this is using a system. let's pretend the two numbers we have are notated using the variables x and y.
our first equation is this:
x + y = -46. the sum of the two numbers x and y is -46.
our first equation is this:
x + 13 = y. here, the variable doesn't really matter. so, what this says is that y is 13 greater than x.
now, you know how to represent y in terms of x. plug the second equation into the first and you get this:
x + ( x + 13) = -46.
solve this:
2x + 13 = -46
2x = -59
x = -29.5
now, we know what x equals. using the second equation we created,
x + 13 = y, we can figure out what y equals. so, let's plug x in.
-29.5 + 13 = y
y = -16.5
you've got x and y now! i hope i helped you.
xoxo
What percent do you actually pay if 40% discount
Answers
Answer:
60%
Step-by-step explanation:
A 40% discount means that 40% will be off, meaning you won't have to pay 40% of the original price. Therefore, you only pay 60% of the original price (100% - 40% = 60%).
how many different types of omlettes can be prepared with 10 ingredients?
Answers
how many different types of omlettes can be prepared with 10 ingredients? 7
Answer:
1024 omelets
Step-by-step explanation:
2^10 = 1024
9. Given the system of equations:
y = 2x +8
3(-2x + y) =12
If any, what are the point(s) of
intersection is
Answers
Answer:
answer is
24=12
solution
3(-2x+2x+8)=12
3(8)=12
24=12
2is a answer
find a positive coterminal angle for 765 degrees
Answers
Answer:
45 degrees
Step-by-step explanation:
Subtract 360° 360 ° from 405° 405 ° . The resulting angle of 45° 45 ° is positive, less than 360° 360 ° , and coterminal with 765° 765 ° .
LCM of division method 80,90,100
Answers
Answer:
3600
Step-by-step explanation:
after division method the answer is 3600
Helpppppppp meeeeee plsssssss
Answers
Answer:
I can't fully tell u the answer because it's through a screen but I do know that it would be an obtuse angle over 90 degrees
Select the correct questions.
Which questions are statistical questions?
Which subjects do the students What is the number of students What is the height of each
in my class like?
in my class?
student in my class?
How many servings of fruit did
l eat each day this month?
What is my favorite color?
What is my mother's favorite
fruit?
What is my height?
What is the highest temperature
of each month this year?
How many students from each
school in this city love football?
Answers
Answer:
Step-by-step explanation:
I will give each that is a statistical question
Subject the students in my class like.
Number of students in my class (as you could compare to another class)
height of each student
serving of fruits eaten in that month
Perhaps height (As you could compare it to the average height)
Highest temp. of each month this year.
How many students love football.
Answer:
Statistcial Questions -
Which subjects do the students like
What is the height of each student
What is the highest temperature
of each month this year?
How many students from each
school in this city love football?
Step-by-step explanation:
Determine the intervals on which the function is increasing, decreasing, and constant.List the interval(s) on which the function is increasing. [____]List the interval(s) on which the function is decreasing. [____]List the interval(s) on which the function is constant. [____]
Answers
A function f is increasing on an interval when
\(f^{\prime}(x)>0\text{ for all x in that interval}\)Also,
\(\begin{gathered} f^{\prime}(x)>0\text{ for all x in that interval if the tangents to the curve at any point on the curve } \\ \text{ in that interval makes an acute angle with the positive x-axis} \end{gathered}\)From the image,
the function has a maximum point at x = -8,
therefore
\(\begin{gathered} f^{\prime}(x)>0\text{ for x < -8} \\ \text{ That is } \\ f^{\prime}(x)>0\text{ on (-}\infty,-8) \end{gathered}\)Also,
\(\begin{gathered} f^{\prime}(x)>0,for \\ -30\text{ on (-3, -2)} \end{gathered}\)Hence, the function is increasing on the intervals
\((-\infty,-8)\text{ and (-3, -2)}\)b)
A function f is decreasing on an interval when
\(f^{\prime}(x)<0\text{ for all x in that interval}\)Also,
\(\begin{gathered} f^{\prime}(x)<0\text{ for all x in that interval if the tangents to the curve at any point on the curve } \\ \text{in that interval makes an angle that is not acute with the positive x-axis} \end{gathered}\)From the image,
the function has a maximum point at x = -8,
therefore
\(\begin{gathered} f^{\prime}(x)<0\text{ for }-8Hence, the function is decreasing on the interval\((-8,-6)\)(c)
A function f is constant on an interval when,
\(f^{\prime}(x)=0\text{ for all x in that interval}\)Also,
\(f^{\prime}(x)=0\text{ for all x in that interval if the graph is parallel to the x-axis on that interval}\)From the image, we can see that the graph is parallel to the x-axis on the intervals
\(-6-2}\)Hence, the function is constant on the intervals
\((-6,-3)\text{ and (-2, }\infty)\)1) Andy buys k packets of crisps. Laura buys 2 more packets of crisps than Andy.
a. Write an expression for the total number of packets of crisps.
Answers
Answer:
2k + 2
Step-by-step explanation:
It's said that Andy buys k packets of crisps, meaning this is an unknown variable. Since Laura buys two MORE bags of crisps than Andy, her total number of chips will be k + 2. To find the TOTAL number of crisps between the two of them, you would have to add Andy's crisps, k, to Laura's crisps, k + 2. This will give you k + k + 2, which is just 2k +2.
Arletta built a cardboard ramp for
her little brother's toy cars. Find
the volume of this ramp.
-
Answers
Answer:
525
Step-by-step explanation:
25 x 6 = 150; 150 / 2 =75; 75 x 7 = 525
Find the distance between the points (-3, 4) and (-3, -5).
Answers
Answer:
\(\displaystyle d = 9\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: \(\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Point (-3, 4)
Point (-3, -5)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: \(\displaystyle d = \sqrt{(-3+3)^2+(-5 - 4)^2}\)[Distance] [√Radical] (Parenthesis) Add/Subtract: \(\displaystyle d = \sqrt{(0)^2+(-9)^2}\)[Distance] [√Radical] Evaluate exponents: \(\displaystyle d = \sqrt{81}\)[Distance] [√Radical] Evaluate: \(\displaystyle d = 9\)Getting a piano into a truck isn't easy, so we often use a ramp to lower the amount of required force. Three students want to use least effort to put the piano into a truck. They have tried ramps with different length- 3 m, 4 m and 5 m. They have observed that the three of them are needed when the length is 3 m, two of them when the ramp is 4 m and just one when the ramp is 5 m.
Answers
Norris Company uses the perpetual inventory system and had the following purchases and sales during March.
Using the inventory and sales data above, calculate the value assigned to cost of goods sold in March and to the ending inventory at March 31 using FIFO and LIFO
FIFO
Cost of goods sold: $____
Ending inventory: $____
LIFO
Cost of goods sold: $____
Ending inventory: $____
Answers
FIFO - March cost of goods sold = $13,050. March 31 inventory = $7,350. LIFO - March cost of goods sold = $14,600. March 31 inventory = $5,800.
To calculate March cost of goods sold we need to add the given data for FIFO =
March cost of goods sold
= (2,800 + 3,700 + 6,550)
= 13,050
To calculate March cost of goods sold we need to add the given data for LIFO =
March cost of goods sold
= (3,400 + 4,400 + 6,800)
= 5,800
Sales data refers to the information collected and recorded about the transactions that occur when a business sells products or services to customers. This data typically includes details such as the date and time of the sale, the products or services sold, the quantity sold, the price paid, and the customer's information. Sales data is crucial for businesses as it helps them understand their sales performance, identify trends and patterns and make informed decisions about their pricing, marketing and inventory management strategies.
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8. Suppose Betty saves $200 each month in her 401(k) account. How much less will her monthly take-home pay be? (Assume a combined 20% state and federal income tax rate, as in the example.)
Answers
Note: Check the file attached below for the complete question
Answer:
Betty's monthly take home is $20 less
Step-by-step explanation:
Betty's monthly income = $2300
Betty's monthly savings = $200
Amount left after savings = $2300 - $200
Amount left after savings = $2100
Federal and State Income tax rate = 20% = 0.2
Tax amount paid = $420
Monthly take home = $2100 - $420
Monthly take home = $1680
Compared to $150 per month savings, Betty's monthly take home is $20 less
10. Kara's grandmother is knitting a baby
cap. She knitted 1/5 of the cap yesterday
morning. By evening, she had knitted 7/10
of the cap. Estimate how much of the cap
she knitted during the afternoon.
Answers
Kara's grandmother knitted the cap during the afternoon is \(\frac{1}{2}\).
What is a Fraction?A fraction is a number that represents the part of a whole. It is in the form of \(\frac{a}{b}\) , in which upper 'a' part denotes numerator and the lower part 'b' denotes the numerator.
Kara's grandmother knitted the cap,
In the morning = \(\frac{1}{5}\)
In the evening = \(\frac{7}{10}\)
She knitted during the afternoon = \(\frac{7}{10} -\frac{1}{5}\)
= \(\frac{7}{10} - \frac{2}{10}\)
= \(\frac{5}{10} = \frac{1}{2}\)
Hence, Sara's grandmother knitted the cap during the afternoon =\(\frac{1}{2}\).
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Plz hurry.....................
Answers
Answer:
figure of cuboid
volume of cuboid=l×b×h
Step-by-step explanation:
(10×3×4)in cube=120incube
A new computer graphics company employs 10 programmers. The company decides to expand into digital animation and needs to transfer 3 of the programmers into the new department. How many different combinations of 3 programmers can be chosen to transfer to the new department?
A. 3
B. 30
C. 120
D. 840
Answers
There are 120 different combinations of 3 programmers that can be chosen to transfer to the new department
How to determine the ways of selection?From the question, we have
Total number of programmers, n = 10
Numbers to programmers to select, r = 3
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 10 and r = 3
Substitute the known values in the above equation
Total = ¹⁰C₃
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 10!/(7! * 3!)
Evaluate
Total = 120
Hence, the number of ways is 120
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Which expression is equivalent to 5^3 × 10^-2?
Answers
Answer:
\(5 {}^{3} \times 10 {}^{ - 2} \\ = 5 {}^{3} \times \frac{1}{10 {}^{2} } \\ = 5 {}^{3} \times \frac{1}{2 {}^{2} 5 {}^{2} } \\ = 5 \times \frac{1}{4 \\ } \\ = \frac{5}{4} \)
hope it helps
when you answer the question in the picture, make sure to explain your answer in steps. Thank you.
Answers
Answer:
Step-by-step explanation:
