24. What is the volume of a rectangular prism with f = 4 1/2 cm, w= 3 1/2 cm, and h= 6 cm
A 902 cubic centimeters
B 942 cubic centimeters
C 95 cubic centimeters
D 952 cubic centimeters
If m and n are positive integers, show that: 3 (m + n)! ≥ m! + n!
We can conclude the proof of inequality : 3 (m + n)! ≥ m! + n! below.
What is factorial?In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. Mathematically, we can write -
[tex]$n! = n \times (n-1) \times \dots \times 1[/tex]
Given is the inequality -
3 (m + n)! ≥ m! + n!
We have -
3 (m + n)!
3 {(m + n)(m + n - 1)(m + n - 2) ....... (3)(2)(1)}
3 {m² + mn - m + nm + n² - n}(m + n + 2) ...... (3)(2)(1)
3 {m² + n² - m - n + 2mn}(m + n + 2) ........ (3)(2)(1)
3 {m(m - 1) + n(n - 1) + 2mn}(m + n + 2) ....... (3)(2)(1)
Now, for (m! + n!) --
(m! + n!) = m(m - 1) .... (3)(2)(1) + n(n - 1) ..... (3)(2)(1)
It can be seen that -
3 {m(m - 1) + n(n - 1) + 2mn}(m + n + 2) ....... (3)(2)(1) ≥
m(m - 1) .... (3)(2)(1) + n(n - 1) ..... (3)(2)(1)
Hence, it can be seen that -
3 (m + n)! ≥ m! + n!
Therefore, we can conclude that 3 (m + n)! ≥ m! + n!.
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Mr. Levy buys .25 lbs of turkey at the store. The turkey costs $2.55. How much does Mr. Levy spend?
Answer:
about 64 cents
Step-by-step explanation:
What is the image of (-5,-6)(−5,−6) after a reflection over the line y=-xy=−x?
A cylindrical grain bin has a radius of 9 feet and a height of 30 feet. How many cubic feet of grain can the bin hold?
Answer:1696.46
Step-by-step explanation:
V = π r 2 h
two subtracted from the product of 9 and a number is greater than or equal to 19 .
translate the sentence into an inequality
Answer: 9x - 2 >= 19.
Step-by-step explanation:
The sentence can be translated into the inequality 9x - 2 >= 19.
Here is a step-by-step breakdown:
"Two subtracted from the product of 9 and a number" can be written as 9x - 2.
"Is greater than or equal to 19" can be written as >= 19.
Putting these two pieces together, we get the inequality: 9x - 2 >= 19.
The graph shows a parabola and its focus. Write the equation of the parabola in vertex form.
Parabola (0, 2)
Focus (0, -1)
9514 1404 393
Answer:
y = -1/12x² +2
Step-by-step explanation:
For vertex (h, k) and vertex-to-focus distance p, the vertex form equation is ...
[tex]y=\dfrac{1}{4p}(x-h)^2+k[/tex]
Here, the vertex-to-focus distance is -1-2 = -3 units. The vertex is (h, k) = (0, 2). So, the equation of the parabola is ...
[tex]\boxed{y=-\dfrac{1}{12}x^2+2}[/tex]
Need help :(( you can answer one or both of the questions
Solve -2y>10
A - y<-5
B - y>-5
C - y<5
D - y>5
Answer:
y < -5
Step-by-step explanation:
The catch for this problem is remembering that when you divide by a negative number, your > or < will switch, so in this case, our > sign will become a < sign, otherwise its not too complicated!
-2y > 10
y < -5
Ms. Wong ordered a box of 50 shirts to sell in her clothing store. She quickly sold 30 of the shirts. Which equations can be used to find how many shirts, s , Ms. Wong has left to sell?
Answer:
answer = 20
Step-by-step explanation:
Answer:
s = 20
Step-by-step explanation:
50 - 30 = s
s + 30 = 50
so 50 - 30 = 20
help pls fractionsss tyy
The amount of syrup she needs is 3/4 cups of syrup. Option A
What is a fraction?A fraction can be described as the part of a whole variable, element or number.
The several types of fractions are;
Mixed fractionsProper fractionsImproper fractionsComplex fractionsSimple fractionsAlso, proportion can be defined as a mathematical comparison between two numbers
From the information given, we have that;
6 cups of soap = 1 /4 cup of syrup
Then 18 cups of soap = x cups of syrup
cross multiply, we get;
6x = 18(1/4)
multiply the values
6x = 18/ 4
Divide both sides by the coefficient of x , we get;
x = 18/ 4 × 1/6
x = 3/ 4 cup of syrup
Hence, the value is 3/4
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what is the slope for the equation?
Answer:
Slope: -1/2
Step-by-step explanation:
You can find the slope from this equation by adding 1/2 to each side of the equation since the way you find the slope of a line is by using: y = mx + b. The "m" must ALWAYS be on the right for it to be a valid slope equation, therefore, we have to use inverse operations for -1/2x to bring it to the right side.
Now, after we added 1/2x to each side, we get this equation:
-y = 1/2x + 3/4
We are not yet done since the y is accompanied by a negative 1, so, to isolate the variable, you use inverse operations once again and you get this equation:
y = -1/2x - 3/4
Therefore, the slope for this equation is -1/2.
Hope this helped! :D
HELP ME PLEASEEEEEEE
Answer:
It would be in this order:
Types of Quads:
Rectangle
Square
Rhombus
Trapezoid
Type of Triangles:
Equaliteral
Isoceles
Scalene
Step-by-step explanation:
Hope it helps
If the original price is $18.00and the markup is %70 what is the total
Answer:
$30.60
Step-by-step explanation:
Please write that as 70%.
The total is the original price plus 70% of that price, or
100% plus 70%, or
170%
Change 170% to 1.70 and multiply the original price by that:
Total price including markup: 1.70($18) = $30.60
Lucas hosted a New Year's dinner for his employees.
The total bill was $1,011.50. He left the server a 20%
tip. How much money did Lucas tip the server?
Round your answer to the nearest hundredth.
Answer:
$202.30
Step-by-step explanation:
You want to know the value of a 20% tip on a bill of $1011.50.
TipThe tip amount can be found by multiplying the bill amount by the tip percentage:
20% · $1011.50 = $202.30
Lucas tipped the server $202.30.
__
Additional comment
You know that 10% of the amount can be found by moving the decimal point one place: $101.15.
20% of the amount will be double this value: $202.30. You can do this math mentally.
Megan made a 4 lb batch of spaghetti sauce she put them in jars that can each hold 2/3 pound of sauce how many jars was she be able to feel
The first, second and fourth terms of
a proportion are 16, 24 and 54
respectively. Then the third term is:
Answer: 36
Step-by-step explanation:
This is a geometric progression. The formula for a geometric progression is given as:
= ar^n-1
where
a = first term = 16
r = common ratio = 24/16 = 1.5
n = 3
Therefore, the 3rd term will be:
= ar^n-1
= 16 × 1.5^3-1
= 16 × 1.5²
= 36
Therefore, the third term of the progression is 36.
Subtract: [tex]\frac{6}{2x^2+8x} -\frac{x}{4x^2+12-16} =\frac{6}{2x(x+4)} -\frac{x}{4(x+4)(x-1)} =\frac{6*2(x-1)}{2x(x+4)*2(x-1)} -\frac{x*x}{4(x+4)(x-1)*x}[/tex]
A:[tex]\frac{-2x^2+12x-12}{2(x+4)(x-1)}[/tex]
B:[tex]\frac{-x^2+6x-6}{2(x+4)(x-1)}[/tex]
C:[tex]\frac{-2x^2+12x-12}{4(x+4)(x-1)}[/tex]
D:[tex]\frac{-x^2+12x-12}{4x(x+4)(x-1)}[/tex]
Step-by-step explanation:
I think D
Suppose that the relation S is defined as follows. S={(-6,9), (7, 2), (-6, -1)} Give the domain and range of S.
Answer:
[see below]
Step-by-step explanation:
The domain are all the x-values of the relation or function, while the range are all the y-values of the relation.
The x-values of the relation are -6 and 7.
The y-values of the relation are -1, 2, and 9.
Therefore:
Domain: {-6, 7}
Range: {-1, 2, 9}
Hope this helps you.
Which is closest to the height of a pine tree?
A new school is ordering math text books. They are 3/4 of an inch thick. How many these books will fit into a book shelf that is 2 feet long.
Answer:
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
24 inches are 2 feet
3/4 x 32 = 24
24 inches = 2 feet
The weight of a bag of Brand A cookies is labeled as 4 ounces on the bag. However, the actual weights of the bags vary by a small amount. According to the package
specifications, the weights are approximately normally distributed with a mean of 4.10
ounces and a standard deviation of 0.10 ounce. During a quality control check on the bag weights, a bag was found that weighted 3.95 ounces. how many standard deviations below the mean was the bag weight?
Answer:
2
Step-by-step explanation:
Mark me the brainliest please
The weight of the bag is 1.5 standard deviations down the mean weight.
What is normal distribution?
'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'
According to the given problem,
Mean weight (μ) = 4.10 ounces
Standard deviation (σ) = 0.10
Target weight (x) = 3.95
We know,
Z = ( x - μ ) / σ
= (3.95 - 4.10) / 0.10
= -1.5
Hence, we can conclude, the target weight is 1.5 standard deviations down.
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In triangle RST, find the value of X. Round to the nearest tenth.
Answer:
238.9
Step-by-step explanation:
check the above attachment to verify the answer.
Johnny combined 7/4 cups of pancake mix and 3/4 of a cup of water to
make pancake batter. If he uses 1/4 of a cup of batter to make each
pancake, how many pancakes can Johnny make from his batter?
CAN U PLS PUT STEP BY STEP PLS?
Answer:
10
Step-by-step explanation:
in total there are 10/4 mixture so if one pancake is 1/4 10 pancakes can be made
please hurry need done asap
Answer:
the answer is the third equation
hope it helps
Answer:
Last option is the correct answer
[tex] (\sqrt[3]{2x - 6})^{3} = (- \sqrt[3]{2x + 6})^{3}[/tex]
Step-by-step explanation:
[tex] \sqrt[3]{2x - 6} + \sqrt[3]{2x + 6} = 0 \\ \sqrt[3]{2x - 6} = - \sqrt[3]{2x + 6}\\ cubing \: both \: sides\\ (\sqrt[3]{2x - 6})^{3} = (- \sqrt[3]{2x + 6})^{3}[/tex]
Denise and Gabe met for dinner in downtown Belmont. Denise did flat-rate valet parking for $20. Gabe went to another valet and paid $4 up front and $4 for every hour, including the first hour. Ultimately, the friends ended up paying the same amount. How long did they stay? How much did each one pay?
HELP !!!!
Circle A has center of (4, 5), and a radius of 3 and circle B has a center of (1, 7), and a radius of 9. What steps will help show that circle A is similar to circle B? (6 points)
Group of answer choices
Translate circle A using the rule (x + 3, y − 2).
Dilate circle A by a scale factor of 3.
Rotate circle A 90° about the center.
Reflect circle A over the x-axis.
Answer:
Dilation if not then translation
Step-by-step explanation:
Please help as fast as possible
Answer:
Hello There!!
Step-by-step explanation:
6n=6×n
6×7=42
hope this helps,have a great day!!
~Pinky~
URGENT: please help!!!!!!!!!
Answer:
In the form of y=mx+b:
y = -5/6x-5
Step-by-step explanation:
I'm not that good at explaining, but I'll try:
Slope intercept is y=mx+b, M is the slope of the line which is rise over run, the rise is -5 (distance traveled along y-axis) and the run is 6 (distance traveled along x-axis) found from two points: (-6, 0) and (0, -5). Using this data -5/6 can be plugged in for M, and b is the y variable at (0, _) in this case the y variable is -5. The final answer after plugging everything in is y=-5/6x-5, I hope this wasn't too confusing.
Which figures show shaded
amounts that are equivalent to 1/4
The image that shows the graph equivalent to the fraction 1/4 is option A, because only one part of the 4 available is shaded.
How to identify the correct graph?To identify the correct graph, we must first identify which fraction we must represent. In this case, the fraction is 1 / 4. To understand this fraction, we must take into account that the top number (1) refers to the number of parts that are shaded and the bottom number (4) refers to the number of total parts. into which the figure is divided.
According to the above, we can infer that it is a figure that is divided into 4 parts, and one of them is shaded. So the correct choice would be option A.
Note: This question is incomplete because there is some information missing. Here is the complete information:
image attached
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