Last minute please help me out !!!
Find a polynomial expression in terms of x for the volume of the rectangular prism shown.
Answer:
V = 6x³ - 21x² - 12x
Step-by-step explanation:
Volume of a Rectangular Prism: V = lwh
Step 1: Define
l = 3x
w = x - 4
h = 2x + 1
Step 2: Substitute
V = 3x(x - 4)(2x + 1)
Step 3: Expand
V = 3x(2x² - 7x - 4)
V = 6x³ - 21x² - 12x
Answer:
6x to the power of 3 + x to the power of 2 - 4
MOVIES At a movie theater, ten movies are playing and their lengths are 105, 95,
115, 120, 150, 130, 100, 125, 110, and 135 minutes. Find the average length of a
movie playing at this theater to the nearest tenth.
Answer: The nearest tenth would be 150.
Step-by-step explanation:
To round a number to the nearest tenth , look at the next place value to the right (the hundredths).
Chain at the hardware store costs $0.15 per foot. If you bought $1.44 worth of chain, what length of chain did you buy? Please answer ;w;
Answer:
9.6
hope it helps
Step-by-step explanation:
Jina filled her gas tank three times last week. Here are the amounts of gas she bought (in gallons).
6, 13.94, 9.5
What is the total amount of gas Jina bought last week?
The total amount of gas Jina bought last week will be 29.44 gallons.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Jina filled her gas tank three times last week. Here are the amounts of gas she bought (in gallons).
6, 13.94, 9.5
The total amount is given as,
⇒ 6 + 13.94 + 9.5
⇒ 29.44 gallons
The total amount of gas Jina bought last week will be 29.44 gallons.
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Given f(x) = -x - 3, find f(-6)
Answer:
plug in -6
-(-6) - 3
the 6 turns into a positive
subtract 3 from 6
= 3
At x = -6, f(x) = 3.
We have -
f(x) = - x - 3
We have to determine f(-6).
Evaluate f(x) = [tex]\pi log(x)[/tex] at x = 2.We have -
f(x) = [tex]\pi log(x)[/tex]
f(2) = [tex]\pi log(2)[/tex]
f(2) = 0.301[tex]\pi[/tex]
f(2) = 0.95
According to the question, we have -
f(x) = - x - 3
Now -
At f(-6) →
f(-6) = - (-6) - 3
f(-6) = 6 - 3 = 3
Hence, at x = -6, f(x) = 3
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Find the inverse of the following function: y=1/5x+9
In simple words, the inverse function is obtained by swapping the (x, y) of the ... For example, to check if f(x) = 3x + 5 is one to one function given, f(a) = 3a + 5 and f(b) ... –9)}? Function h is not one to one because the y- value of –9 appears more than once. ... (2x − 1) [(4 + 5x)/ (2x − 1) + 4]/ [2(4 + 5x)/ (2x − 1) − 5] (2x − 1).
1) There is a garden in Anu's house. In the middle of the garden there is a path. They decided
READING COMPREHENSION
to tile the path using tiles of length 2 feet, 3 feet and 5 feet.
The mason tiled the first row with 2 feet tiles, the
second row with 3 feet tiles and the third row with
3-feet tiles, and the third row with 5 feet tiles.
Then what is the shortest length of the path?
Answer:
30 feet
Step-by-step explanation:
we must find the smallest common multiple and the simplest way to do it is multiple 5 x 3 x 2 = 30 because 15 is not divisible by 2, and the next multiple of 5 and 3 divisible by 2 is 30.
or we can do it the long way:
the multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30
the multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
the multiples of 5 are: 5, 10, 15, 20, 25, 30
what is 4.93 as a mixed number
Answer:
4 and 93/100
Step-by-step explanation:
To do this, you need to know how to convert that decimal into a fraction. 0.93 is the same as saying 93 hundredths or 93/100. Next, we just need to put the 4 in front of it since it is a whole number. 4 and 93/100
Answer: 4 93/100
Step-by-step explanation:
True or false a set of coordinates that indicates the location of a point on a coordinate plane is a coordinate
What is the comparison test exactly? And how would you use the comparison test to do this problem?
Answer:
C
Step-by-step explanation:
If you have two functions such that 0 < g(x) < f(x) for all values of x on a domain, then g(x) converges if f(x) converges, and f(x) diverges if g(x) diverges.
Basically, if a known function converges, then a smaller function also converges. And if a known function diverges, then a larger function also diverges.
1/√x is a p-series where p = ½, so this integral diverges.
1/(√x − 1) is larger than 1/√x on the domain 2 ≤ x ≤ ∞. So if 1/√x diverges, then 1/(√x − 1) also diverges.
Mrs. Carroll’s garden has a total of 448 flowers arranged with 28 flowers in each row. How many rows are there in Mrs. Carroll’s garden?
19
12
16
10
Answer:
16 rows
Step-by-step explanation:
448 rows
28 flowers in each
448/28=16
Write an equation in slope-intercept form for the line that has a slope of - 4 and passes through (1, 2) .
Answer:
y = -4x+6
Step-by-step explanation:
There are 8 squares and 12 circles. What is.the simplest ratio of squares to total shapes?
Answer:
2 to 3 or 2:3
Step-by-step explanation:
Answer:
2:3
Step-by-step explanation:
100-14 divided 2x(3+7
The solution of the expression will be;
⇒ 43/10x
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 100 - 14 divided by 2x (3 + 7)
Now,
Since, The expression is,
⇒ 100 - 14 divided by 2x (3 + 7)
Hence, We can write as;
⇒ (100 - 14) / 2x (3 + 7)
⇒ 86 / 2x × 10
⇒ 43/10x
Thus, The solution of the expression = 43/10x
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a product of 5.5 3.547 is rational or irrational
Answer:
irrational i think
Step-by-step explanation:
Answer:
Rational
Step-by-step explanation:
Unless a rational (finite) number is multiplied by an irrational (infinite) number, then it will always be rational.
5.5 is rational, as is 3.547
if either one of the two numbers above were to be multiplied by an irrational number (let's say pi), then the product would be irrational as well.
Evaluate the expression
Answer:
3rd Option: 1
Step-by-step explanation:
Step 1: Define
(x + 4)/3x
x = 2
Step 2: Substitute and Evaluate
(2 + 4)/3(2)
6/6
1
What is g^-1(x)? What is the domain of g^-1(x)?
Please help!! It’ll be greatly appreciated!!
Answer: [tex]g^{-1}(x) = \frac{1-4x}{x}[/tex]
Domain of the inverse is any real number but x cannot equal zero
Domain in set builder notation = [tex]\{x | x\in\mathbb{R} , \ x \ne 0\}[/tex]
Domain in interval notation = [tex](-\infty, 0) \cup (0, \infty)[/tex]
================================================
Let's make h(x) be the inverse of g(x)
g(x) = 1/(x+4) is the same as y = 1/(x+4).
To find the inverse, we swap x and y, then solve for y like so....
y = 1/(x+4)
x = 1/(y+4) .... x and y swap
x(y+4) = 1
xy+4x = 1
xy = 1-4x
y = (1-4x)/x
h(x) = (1-4x)/x is the inverse of g(x)
We can verify this by showing that g(h(x)) = x and h(g(x)) = x. I'll leave that for you to confirm.
The domain of h(x) is the set of real numbers x such that x cannot be 0. So x can be anything but 0. In set builder notation, we would say [tex]\{x | x\in\mathbb{R} , \ x \ne 0\}[/tex] and in interval notation that is [tex](-\infty, 0) \cup (0, \infty)[/tex]
We kick out x = 0 so that (1-4x)/x doesn't have any division by zero errors.
Patrick bought a pack of paper for $5.69 and a printer toner for $9.76. He paid with a $20 bill. What was the change? *
$5.55
$5.45
$4.55
$4.45
Whitney buys a notebook for herself and 4 friends. Each notebook costs $1.85. How much will 5 notebooks cost?
$9.25
$10.25
$7.40
$9.35
Answer:
Patrick's Change: $4.55
Whitney's Cost: $9.25
Step-by-step explanation:
Patrick's:
Total Cost = 5.69 + 9.76 = 15.45
Total Change = 20.00 - 15.45 = $4.55
Whitney's:
Total Cost: 1.85 * 5 = $9.25
Answer:
5.69+9.76=15.45
20-15.45=4.55
$4.55
1.85
x5
_______
$ 9.25
Step-by-step explanation:
Simply: x + 5 + 7x+ 11
Answers:
A. 8x + 16
B. 6x + 18
C. 7x + 16
D. 24x
Answer:
8x+16
Step-by-step explanation:
First add the x and 7x which is 8x because x is equal to 1. Sec nd, you need to add 5+11 and it's 16. So your final answer is 8x+16.
Answer:
The simplified expression of the given expression is 8x + 16
Step-by-step explanation:
Solving this problem entails of simplifying the given expression. To do this we will first combine like terms. This step is taken to gather the terms in the expression that correspond with each other. Because the terms 'x' and '7x' both contain the same variable, we will combine these. Because the terms '5' and '11' are both numeral digits, we will combine these as well.
x + 5 + 7x + 11
(x + 7x) + (5 + 11)
The like terms have now been grouped together.
The final step is to add each of the common terms together in order to get the expression in its simplest form.
(x + 7x) + (5 + 11)
8x + 16
The expression has been simplified. The correct answer should be a. 8x + 16
There was a tree with 3 branches. One each branch there were 3 cages. In each cage there was 3 birds. How many birds in all?
Answer:
27 birds
Step-by-step explanation:
T = 3^3
T = 3 branches<9 cages<27 birds
T = br br br br = branch
^ ^ ^
c c c c c c c c c c = cage
^ ^ ^ ^ ^ ^ ^ ^ ^
bbb bbb bbb bbb bbb bbb bbb bbb bbb b = bird
if 75 is added to a number, the result is 39 less than three times the number.find the number
Answer:
The answer is x=57
Step-by-step explanation:
First, we would set the number to x.
Then, we turn the words into an equation.
x+75 = 3x-39
Isolate the x.
-2x = -114
So...
x = 57
evaluate 2(4-1) exponent 2.
(2 * (4-1) )^2
I'm assuming that's what the problem is.
(2 * 3) ^2
6^2
36
5x-108=4x-45
can you please do it step-by-step
Answer:
x = 7
Step-by-step explanation:
so first of all you have to get the x on one side
5x - 108 = 4x - 45
5x - 108 + 108 = 5x + 4x = 9x
4x - 45 - 4x = -45 + 108 = 63
9x = 63
then you have to divide each side by 9
9x / 9 = x
63 / 9 = 7
x = 7
Step-by-step explanation:
The object of this problem is to get both sides (to the left and right of the equal sign) of the equation the same value. THIS IS JUST AN EXAMPLE:
4=4.
First thing is to add the like terms together (same variable and/or same exponent). So we do 5x-4x= 1x. (same variable) When we bring 4x to the left side of the equal sign, we bring the 108 to where the 4x was.
NEW EQUATION: 5x-4x=108-45
1x is the same as x. (Basically, 1 times x is x)
EQUATION: x=108-45
108-45= 63
So, x=63. 63 is the answer
Now to make sure the answer is correct, substitute each x in the equation for 63. If both sides have the same value you are correct.
CHECKING WORK: 5 x 63 - 108= 4 x 63 - 45
315 - 108 = 252- 45
207= 207
IT IS CORRECT!
Hope this helps.
round 5.638 to the nearrest tenth
Answer:
5.6
Step-by-step explanation:
Answer:
5.6
Step-by-step explanation:
five thousand, three and
fourteen ten-thousandths.
100 points! will mark for brainliest!!
Solve for m
n+4m=d
Answer: m = d/4 - n/4
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Please mark me as brainliest
What is the answer to b?
===================================================
Explanation:
Pick any column and divide the weight over the length
column 1: 9/15 = 0.6
column 2: 12/20 = 0.6
column 3: 18/30 = 0.6
column 4: 30/50 = 0.6
The weight per cm is 0.6 grams per cm
---------
Another way you could look at is like so
9 g = 15 cm
9/15 g = 15/15 cm
0.6 g = 1 cm
We divided both sides by 15 to turn "15 cm" into "1 cm". Think of "per cm" as "per 1 cm". This works for any other column as well.
Answer:
[See Below]
Step-by-step explanation:
___________________________________________________
✦ To figure out the rule of this table you must Add, Subtract, Multiply, and Divide each line to find similarities.
___________________________________________________
✧ Line 1:
[tex]15+9=24[/tex][tex]15-9=6[/tex][tex]15*9=135[/tex][tex]15[/tex] ÷ [tex]9=1.66r[/tex]___________________________________________________
✧ Line 2:
[tex]20+12=32[/tex][tex]20-12=8[/tex][tex]20*12=240[/tex][tex]20[/tex] ÷ [tex]12=1.66r[/tex]___________________________________________________
✧ Line 3:
[tex]30+18=48[/tex][tex]30-18=12[/tex][tex]30*18=540[/tex][tex]30[/tex] ÷ [tex]18=1.66r[/tex]___________________________________________________
✧ Line 4:
[tex]50+30=80[/tex][tex]50-30=20[/tex][tex]50*30=1500[/tex][tex]50[/tex] ÷ [tex]30=1.66r[/tex]___________________________________________________
So with this, we can conclude that each line has a similarity when we did:
[tex]cm[/tex] ÷ [tex]g[/tex][tex]=1.66r[/tex] (Repeating)___________________________________________________
So the weight per [tex]cm[/tex] is [tex]1.66[/tex] or [tex]g*1.66r[/tex].
~Hope this helps Mate. If you need anything feel free to message me.
You accidentally dialed one number on your phone’s keypad. Find the probability that the number you dialed is greater than or equal to 0
Answer:
100%
Step-by-step explanation:
Your phone keypad consists of 10 numbers, 0-9. Since you typed only one number, and 0 is the lowest possible number, that means every number you choose will have to be either 0 or greater than 0. Tell me if that makes sense or not.
WLD Incorporated, a national data-collection agency, estimates that 60% of all customers at home warehouse stores (in the United States) own their own home. WLD also estimates that 54% of all home warehouse customers have lived at their current address for less than five years, and that 71% of all home warehouse customers own their own home or have lived at their current address for less than five years (or both). Using these estimates, what is the probability that a randomly selected home warehouse customer both owns her own home and has lived at her current address for less than five years
Answer:
[tex]P(W\ n\ F) = 43\%[/tex]
Step-by-step explanation:
Given
Represent customers that own their homes with W
Represent customers that have lived for less than 5 years with F
Such that:
[tex]P(W) = 60\%[/tex]
[tex]P(F) = 54\%[/tex]
[tex]P(W\ or\ F) = 71\%[/tex]
Required
Determine [tex]P(W\ n\ F)[/tex]
In Probability:
[tex]P(W\ or\ F) = P(W) + P(F) - P(W\ n\ F)[/tex]
Substitute values for each
[tex]71\% = 60\% + 54\% - P(W\ n\ F)[/tex]
[tex]71\% = 114\% - P(W\ n\ F)[/tex]
Solve for P(W n F)
[tex]P(W\ n\ F) = 114\% - 71\%[/tex]
[tex]P(W\ n\ F) = 43\%[/tex]
Consider the enlargement of the rectangle. A smaller rectangle with length of x inches and width of three-fifths inch. A larger rectangle with length of 20 inches and width of 12 inches. Use the proportion to find the missing dimension of the original rectangle. 1. Set up the proportion: StartFraction x over three-fifths EndFraction = StartFraction 20 over 12 EndFraction 2. Use cross products: 12(x) = 20(3 5 ) 3. Simplify: 12x = 4. Divide: x =
Answer:
its 12 then 1
Step-by-step explanation:
i just did it
Answer:
12x= 12
x= 1
Step-by-step explanation:
I got this right