x^2 + x
---Both of these terms both contain an x, which means we can factor out one x.
x(x + 1)
Simplified: x(x + 1)
Hope this helps!
A cube has an edge length of 12 meters. What is its volume, in cubic meters?
evaluate the expression when m=3 and n=8. 40/n-m=
Answer:
2
Step-by-step explanation:
Answer:
The answer is 8
Step-by-step explanation:
If n = 8 and m = 3, 8 - 3 = 5.
40 ÷ 5 = 8
Hope this helps
Find the next three terms in the sequence. 24,20,16,12…. (If you could explain it that would be great too. It’s a bit confusing)
Answer:
the next three numbers should be 8, 4, 0
Step-by-step explanation:
it reduces by 4 each time
24 - 4 = 20
20 - 4 = 16
16 - 4 = 12
12 - 4 = 8
8 - 4 = 4
4 - 4 = 0
First term =a=24
common difference=d=20-24=-4
Formula
a_n=24-4(n-1)a_5
24-4(4)8a_6
24-5(4)4a_7
24-6(4)0There are a total of 12 bicycles and tricycles in a parking lot. If there are 31 wheels in all, how many of them are bicycles?
Answer:
5 bicycles
Step-by-step explanation:
5 * 2 = 10 wheels
7 * 3 = 21 wheels
10 + 21 = 31
Hope this helped! Brainliest :)
Find the x-intercept and y-intercept of the line.
=+6x3y−6
A window in the shape of a parallelogram had a base of 46 inches and a height of 45 inches. What is the area of the window?
Answer:
A = bh
A = 45 x 46
A = 2070 inches
Answer:
2070 squre in
Step-by-step explanation:
because the base is 46 and the height is 45 then we just multiply the two together to find the area.
so we solve it and we get
45*46=2070
2 is multiplied by the difference of a number and 4.
Answer:
x=3
Step-by-step explanation:
4(x-2)=4. divide both sides by 4
x-2=1. add 2 to both sides
x=3
Answer:
2(x-4)
Step-by-step explanation:
* means multiplied by
2 is multiplied by the difference of a number and 4
multiplied by separates
2 AND "by the difference of a number and 4"
"by the difference of a number and 4" is in a parenthesis
"a number" means x
"the difference" means minus or -
2 is multiplied by the difference of a number and 4 =
2 * (x-4) =
2(x-4)
work out the total length of the wire two wire shapes make an earring. the shapes are a circle with radius 21mm and a quarter circle 6mm. work out the total length of the wire in the earring. give your answer in the form a pie +b where a and b are integers.
Answer:
45n+12mm
Step-by-step explanation:
I hope this is right if it is right pls mark me as brainliest and learn well
the value of a and b will be 45 and 0 for the given expression.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
Given, the shapes are a circle with a radius of 21mm and a quarter circle of 6mm.
Since Radius = 21 cm
the radius of the circle/ radius of the quarter circle = 7/2
Total length = Sum of the circumference of both the circle
Since the formula for the circumference of a circle:
C = 2 * pi * radius
Total length = 2* pi* r + 1/4 * (2 * pi * r')
Total length = 2 *pi * 21 + pi * 3
Total length = π(42 + 3)
total length = 45π + 0
therefore, the value of a and b will be 45 and 0 for the given expression.
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PLS HELP ME ASAP I WILL MARK THE BRAINIEST
Answer:
73°, 85°, 62°Step-by-step explanation:
#1Angle formed by two chords is half the sum of the intersepted arcs:
m∠HKI = m∠GKJ = 1/2(105 + 41) = 1/2(146) = 73°#2Angle formed outside by two tangents is half the difference of intercepted arcs:
1/2(55x - 17x) = 9538x = 190x = 190/38x = 5Find the arc measure:
mAC = 17x = 17*5 = 85°#3Angle formed outside by two secants is half the difference of intercepted arcs:
mBCD = 1/2(mAE - mDB) = 1/2(147 - 23) = 1/2(124) = 62°constitutional amendment that has significantly changed the structure of congress as written in the original constitution
What is the surface area?
10 ft
8 ft
10 ft
12 ft
10 ft
Answer:
12×8/2=48
10×10=100
2(48)+3(100)
96+300= 396ft²
Can someone please help me find the ordered pairs for U and T?
thanks!
u (-1 ; 0)
t (-3 ; 0)
HELP!
An animal shelter has a total of 20 cats, dogs, and
parrots. There are at least twice as many cats as dogs
and at least 3 times as many parrots as dogs. What is the
maximum number of dogs they could have?
Answer:
The answer is 4 dogs
Step-by-step explanation:
Let the number of dogs be x
=>The number of cats = 2x
=> The number of parrots = 3x
2x + 3x = 20
=>5x = 20
=>5x ÷ 5 = 20 ÷ 5
=>x = 4
They could have the maximum number of dogs is 4 dogs.
The given is,
An animal shelter has a total of 20 cats, dogs, and parrots.
There are at least twice as many cats as dogs and at least 3 times as many parrots as dogs.
What is a maximum number?
A maximum is a unique number for a given set of data. This number can be repeated, but there is only one maximum for a data set.
Let the number of dogs be x
The number of cats = 2x
The number of parrots = 3x
2x + 3x = 20
5x = 20
5x / 5 = 20 / 5
x = 4
Therefore the are 4 dogs.
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Find the side labeled x.
HELP
Answer: 89
Step-by-step explanation:
60 + 31 = 91
180 - 91 = 89
If this isn’t correct then sorry :/
A 5.2 pound package of chicken costs $11.90. What is the cost per pound?
Answer:
$2.29
Step-by-step explanation:
1. Divide $11.90 by 5.2
2. 11.90➗5.2 = 2.88 but you round the number so it will be 2.29
Hope this helps :)
Assessment started: undefined. Item 1 What is the median of this data set? {11, 13, 13, 14, 14, 16, 18, 23, 24} Enter your answer in the box.
{11, 13, 13, 14, 14, 16, 18, 23, 24}
mode: 13, 14median : 14minimum : 11maximum : 24interquartile range : 7.5total numbers : 9As it's odd
Median:-
n+1/29+1/210/25Median is 5th term 14
Suppose a polynomial of degree 4 with rational coefficients has the given numbers as zeros. Find the other zero
-2, square root 5, 10/3
Step-by-step explanation:
The root is
-sqr root of 5.
First, we put these roots in the forn of
[tex](x - a)[/tex]
where a is the root
So we have
[tex](x - ( - 2))(x - \sqrt{5} )(x - \frac{10}{3} )[/tex]
[tex](x + 2)(x - \sqrt{5} )(3x - 10)[/tex]
[tex](3 {x}^{2} - 4x - 20)(x - \sqrt{5} )[/tex]
To get rid of that square root, let have another root that js the conjugate posive root of 5.
[tex](3 {x}^{2} - 4x - 20)(x - \sqrt{5} )(x + \sqrt{5} )[/tex]
[tex](3 {x}^{2} - 4x - 20)(x {}^{2} + 5)[/tex]
Which will gives us a rational coeffeicent of degree 4.
Why we didn't do
[tex](x - \sqrt{5} )[/tex]
?
Because
[tex](x - \sqrt{5} ) {}^{2} = {x}^{2} - 2 \sqrt{5} + 5[/tex]
If we foiled out we will still have a irrational coeffceint.
A cookie recipe for 30 cookies calls for 2 cups of flour. How much flour is needed to make 45 cookies? How much cups is needed for 45 cookies. And what is the unit rate for cookie/cups of flour
Answer:
3 cups. 15 cookies to 1 cup of flour.
Step-by-step explanation:
The answer is 3 cups. The first thing you do is find the unit rate. Divide 30 by 2 and you know that 1 cup of flour makes 15 cookies. Then divide 45 by 15 which is 3 and which tells you that 3 cups of flour makes 45 cookies.
Please help me on this
Answer:
[tex]5.4 \times {10}^{ - 17} {m}^{2} [/tex]
[tex]s = \frac{1}{2} \times 3.6 \times10^{ - 9} \times 3 \times {10}^{ - 8} = 5.4 \times {10}^{ - 17} {m}^{2} [/tex]
Use+the+following+data+to+compute+the+relative+market+share+of+each+brand+and+its+position+on+the+growth-share+matrix+if+the+market+growth+rate+is+13. 4%. +which+of+the+following+is+correct?
Market share is simply the percentage of the total revenue or sales in a market which a particular business makes.
What is a market share?
Your information is incomplete. Therefore, an overview of the market share will be given. Market share is a measure of consumers' or businesses' preference for a product over other similar products.
A higher market share means greater sales and less effort is needed to sell more and a strong barrier to entry for other competitors.
For example, if there are 50,000 units sold per year in an industry, a company that has sales of 5,000 of those units would then have a 10 percent share in that market.
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A cylinder-shaped container has a radius of 20 centimeters and a height of 100 centimeters.
What is the approximate volume of the cylinder?
Enter your answer in the box. Use 3.14 to approximate pi.
Answer: The volume of the cylinder is 125, 600 cm^3
Step-by-step explanation:
Volume = 3.14 x Radius^2 x Height
Volume = 3.14 x 20^2 x 100
Volume = 3.14 x 400 x 100
Volume = 125,600 cm^3
What is the value of x? sin(x 37)°=cos(2x 8)° enter your answer in the box. x =
The value of x which saisfies the equation sin(x+37)°=cos(2x+8)° is 135 or 15.
How to convert sine of an angle to some angle of cosine?We can use the fact that:
[tex]\sin(\theta ^\circ) = \cos(90 - \theta^\circ)[/tex]
to convert the sine to cosine (but the angles won't stay same unless its 45 degrees).
For this case, we're specified the equation sin(x+37)°=cos(2x+8)°.
Converting sine to cosine, we get:
[tex]\cos(90 - x - 37)^\circ = \cos(2x + 8)^\circ\\[/tex]
Since cosine is a periodic function with period of [tex]360^\circ[/tex], thus, we get:
[tex]90 - x - 37= 2x + 8 +360 n[/tex]
where n = an integer (positive, negative, or zero).
or
[tex]90 - 37 - 8= 3x + 360 n\\\\x = \dfrac{45 - 360n}{3} = 15 - 120n[/tex]
This is the general solution of the considered equation.
Assuming that only principal values (from 0 to 360 degrees) angles are allowed, we need:
[tex]0 \leq x + 37 \leq 360\\\\and\\\\0 \leq 2x+8 \leq 360[/tex]
The first inequality gives:
[tex]-37 \leq x \leq 323[/tex]
The second inequality gives:
[tex]-4 \leq x \leq 176[/tex]
We need to satisfy both the inequalities, so the final boundaries on x are:
[tex]-4 \leq x \leq 176[/tex] (the minimum ones for which both inequalities stay true).
n = -2 gives x = 255n = -1 gives x = 135n = 0 gives x = 15n = 1 gives x = -105n < -2 gives x > 255, and n > 1 gives x < -105
So, values of n for which [tex]-4 \leq x \leq 176[/tex] is true are n = -1, or n = 0
Thus, x = either 135 or 15
sin
Thus, the value of x which saisfies the equation sin(x+37)°=cos(2x+8)° is 135 or 15
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Johan can get lunch at Joe’s Deli for $12, and he can get lunch at Majestic for $8. In one month, Johan spent $96 on lunches (and he only went to those two places, and he always got the same thing). Which equation represents possible combinations of how many lunches Johan bought at Joe’s and Majestic?
A)y=4x+96
B)12x+8y=20
C)y-8=96(x-12)
D)12x+8y=96
Answer: D
Step-by-step explanation:
It’s really obvious just circle D
Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square inches. The table is 36 inches wide and 72 inches long without the border. Which quadratic equation can be used to determine the thickness of the border, x? 4x2 216x 2,592 = 0 4x2 216x − 684 = 0 2x2 216x − 3,276 = 0 x2 108x 3,276 = 0.
The quadratic equation that can be used to represent the thickness of the border is 4x²+18x-3258=0.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
As it is given that the length and the width of the centre area are 72 inches and 36 inches, respectively. When the dimensions of the centre area are converted into the feets, it will be,
[tex]\rm Length = \dfrac{72\ inches}{12} = 6\ feet[/tex]
[tex]\rm Width= \dfrac{36\ inches}{12} = 3\ feet[/tex]
If we take the borders of the table into account, the length and the breadth of the table will become,
Length = (6+x+x) = (6+2x)
Width = (3+x+x) = (3+2x)
We know that the area of a rectangle is given as the product of the length and width, and also it is mentioned that the area of the entire table is 3,276 square feet. Therefore, the area of the table can be written as,
[tex]{\rm Area=Length \times Width}\\\\3276 = (6+2x)(3+2x)\\\\3276= 18+ 12x+ 6x + 4x^2\\\\4x^2+18x+18-3276=0\\\\4x^2+18x-3258=0\\[/tex]
Thus, the quadratic equation that can be used to represent the thickness of the border is 4x²+18x-3258=0.
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Find the product.
(5 – 3z)(5 + 3z) =
(Simplify your answer.)
Answer:
25 - 9(z)²
Step-by-step explanation:
Hope this helps :)
if f(x)=2x^2-3x+4, find f(x+3)
Step-by-step explanation:
well, the approach is totally simple : we use (x+3) everywhere where we have "x" in the function expression.
so,
f(x+3) = 2(x+3)² - 3(x+3) + 4 =
= 2(x² + 6x + 9) - 3x - 9 + 4 =
= 2x² + 12x + 18 - 3x - 9 + 4 =
= 2x² + 9x + 13
HELP ASAP GIVING BRAINLIEST LETS GO! In a dark hallway, you have a hard time finding your way to the bathroom. To find the bathroom, you try the following:
Shouting for help
Feeling your way down the hall
Turning on a lamp
Crawling along the floor
----------------------------------------------------------------------------------------------------------------------------
.All four are successful, but only one of these options uses two forms of energy. Identify the two forms of energy for that option.(2 points)
A.Electrical and light
B.Heat and sound
C.Mechanical and light
D.Sound and heat
This i-ready lesson is hurting my brain, anyway I need help on this one
Answer:
I am pretty sure it is 100in^3 + s^3
Subtract 17a²b from 2a²b
Answer:
-[tex]15 {a}^{2}b[/tex]
A stores daily average sales during its first year in 1991 were $345. Since then, the average daily sales have increased about $35 year. Let t be the number of years since 1991. Which equation represents the average daily sales as a function of t
Answer:
d
Step-by-step explanation: