Answer:
2x^4+4x^3+3x-5/x
Step-by-step explanation:
What do you mean by long division.....
1. Write the problem.
2. Write all numerators above the common denominator- x.
3. Reorder the terms and you get the answer.
Answer:
.
Step-by-step explanation:
x+
2
3x
3
+4x
2
answer : −5
A pizza restaurant allows you to choose any 3 of 8 toppings. How many
different ways are there to choose the toppings?
A. 56
B. 24
C. 40,320
D. 336
Answer:
A. 56
Step-by-step explanation:
3 out of 8 toppings:
= 8!/5!*3!
=8*7*6/3*2*1
=8*7
=56
I hope this helps...
Answer:
A. 56
Step-by-step explanation:
Write an equation using fractorials (2!, 3!, 4! etc)
8! ÷ 5! x 3!
8!, 5!, and 3! mean 8, 5, and 3 fractorials.
We need to multiply backwards in order to solve the fractorials in the equation above this line:
8 x 7 x 6 ÷ 3 x 2 x 1 = 224
Finally, divide 224 by 4
224 ÷ 4 = 56
so the answer is 56.
Hope this helps! Have a good day! (PLS GIVE BRAINLIEST)
work out the value of 4 lots of 10
Answer:
40
Step-by-step explanation:
4 lots of 10 is 10+10+10+10 or 4 x 10
Find the coefficient of x^2 in the expression of (x - 7)^5. a. -3430 b. -3034 c. 3034 d. 3430
Answer:
let me know when you have the anwser
Step-by-step explanation:
What monomial do you have to raise to the power of 2 to get the monomials below? (1000000m18)
Answer:
(1000m⁹)²Step-by-step explanation:
A monomial is an expression containing just one term. Given the monomial 1000000m¹⁸, to get the monomial we need to raise to the power of 2 to get this given monomials, the following steps must be taken using the laws of indices.
In indices, [tex](a^m)^n = a^m^n[/tex], applying this rule to the question we have;
1000000m¹⁸
= (10*10*10*10*10*10)m¹⁸
= 10⁶m¹⁸
= 10⁶*(m³)⁶
= (10*m³)⁶
= (10m³)⁶
= (10m³)²ˣ³
= (10³m⁹)²
= (1000m⁹)²
The last result gives the required expression
In the diagram shown, FJ bisects AD BL~=LC. The length of BL is 10 less than the length of AB. The length of AD is 220. What is the length of BD?
Answer:
Option (C)
Step-by-step explanation:
Since FJ is the bisector of AD,
AL ≅ DL
And it's given that BL ≅ LC
Length of BL is 10 less than the length of AB.
m(BL) = m(AB) - 10
m(AD) = 220 [Since m(AD) = 2m(AL)]
2m(AL) = 220
m(AL) = 110
m(AB) + m(BL) = 110
m(AB) + [m(AB) - 10] = 110
2m(AB) = 110 + 10
m(AB) = 60
Therefore, m(BL) = m(AL) - m(AB)
= 110 - 60
= 50
Since, m(AL) = m(DL)
m(AB) + m(BL) = m(LC) + m(CD) [Since BL = LC]
m(AB) = m(CD) = 60
Now m(BD) = m(BL) + m(LC) + m(CD)
= 50 + 50 + 60
= 160
Therefore, option (C) will be the answer.
A rectangular driveway has the dimensions shown below. Concrete costs $49.75 per square yard to pour. How much will it cost to pour concrete for the entire driveway?
[tex]\boxed{ \bf The~answer~is~$2,350.69.}[/tex]The answer is $2,350.69.
Explanation:First, we must find the area of the rectangular driveway.
A = l × w
A = 15.75 × 3
A = 47.25
So, the area of the driveway is 47.25 yd².
Next, we need to multiply the cost of each square yard by the area.
49.75 × 47.25 = 2350.6875
This can be rounded to 2,350.69.
Which ordered pair is a solution of the equation? y-3=5(x-2) A.) (2,3) B.) (3,2) C.) Both D.) Neither
Answer:
A is the only solution.
Step-by-step explanation:
A simple way to solve it is to plug in the x and y values
For A, we plug in 2 for x and 3 for y
3-3=5(2-2)
0=5(0)
0=0
Ordered pair A is a solution
For B, plug in 3 for x and 2 for y
2-3=5(3-2)
-1=5(1)
-1 does not equal 5
Therefore only A is a solution
Someone Help me please !
Answer:
[tex] \sqrt{9} \times \sqrt{16} [/tex]
Step-by-step explanation:
[tex] \sqrt{9} \times 16 = \sqrt{9} \times \sqrt{16} = 3 \times 4 = 12[/tex]
Hope this helps ;) ❤❤❤
Answer:
sqrt(9) * sqrt(16)
Step-by-step explanation:
sqrt( 9*16)
We know that sqrt(a*b) = sqrt(a) sqrt(b)
sqrt(9) * sqrt(16)
3*4
12
A sofa set costs $4800 and can be bought under a hire purchase plan. A 15% deposit is required and the remaining amount is to be paid in 24 monthly installments at a simple interest rate of 3% per annum. What is the amount to be paid in installment per month. *
Answer:
$180.20
Step-by-step explanation:
15% of $4800=$720
$4800-$720=$4080
6% of $4080=$244.8
$4080+$244.8=$4,324.80
$4,324.80/24=$180.20
so you would pay $180.20 a month
Which polynomial is factored completely?
g^5-g
4g^3+18g^2+20g
24g^2-6g^4
2g^2+5g+4
Answer:
Option (4)
Step-by-step explanation:
To solve this question we will try to factor the expressions given in each option.
Option (1)
g⁵ - g = g(g⁴ - 1)
= g(g² - 1)(g² + 1)
= g(g - 1)(g + 1)(g² + 1)
Option (2)
4g³ + 18g² + 20g = 2g(2g² + 9g + 10)
= 2g[2g + 5g + 4g + 10]
= 2g[g(2g + 5) + 2(g + 5)]
= 2g(2g + 5)(g + 2)
Option (3)
24g² - 6g⁴ = 6g²(4 - g²)
= 6g²(2 - g)(2 + g)
Option (4)
2g² + 5g + 4
This expression is the in the completely factored form.
Answer:
yes its D :)
Step-by-step explanation:
other guy has the math, i just know the answer, sorry lol
A truck is to be filled with packages that weigh 5.8kg. If the maximum capacity of the truck is 48000 grams and there is a 5500 gram package already on the truck how many 5.8kg packages can be loaded?
Answer: 7 packages
Step-by-step explanation:
From the question, we are told that a truck is to be filled with packages that weigh 5.8kg. The maximum capacity of the truck is 48000 grams(48kg) and there is a 5500 gram(5.5kg) package already in the truck.
First, we need to subtract 5.5kg from 48kg to know the amount of space left. This will be:
= 48kg - 5.5kg
= 42.5kg
To get the number of 5.8kg packages that can be loaded, we divide 42.5kg by 5.8kg. This will be:
= 42.5kg/5.8kg
= 7.3
= 7 approximately
Therefore, 7 packages will be loaded.
N.B: 1000 grams = 1 kilogram
Factor the expression 4x + 32. Explain each step you take in the process. 100 points goes to brainliest
Answer:
4(x+8)
Step-by-step explanation:
4x+32
x+8 in parentheses
and put the 4 on the outside of the parentheses
like this 4(x+8)
Answer:
4(x+8)
Step-by-step explanation:
4x + 32
Rewriting
4*x + 4*8
Factor out 4
4(x+8)
plz help plz help fast fast
Answer:
false
false
negative
0
a+b/2
17/54
0
-12/25
2/7(-1/5)+2/7 times 3/8
1
Step-by-step explanation:
if u do KFC or KCF u can see its not equal
if pos divided by pos it equals pos
pos divided by neg is neg
neg divided by neg is pos
zero is the additive identify
a rational number between two rational numbers a and b is a plus b divided by 2
hope this helps
3. Write an exponential equation for each coin that will give the coin's value, V, at any time, t. Use
the formula:
Vt) = P(1 + r) where V(t) is the value of the coin in t years, Please HELP! help on number three
Answer:
Coin A : [tex]V(t)=25(1.07)^t[/tex]
Coin B : [tex]V(t)=40(1.05)^t[/tex]
Step-by-step explanation:
Consider the given formula is
[tex]V(t)=P(1+r)^t[/tex]
where, P is current value, V(t) is the value of the coin in t years, and r is annual appreciation rate.
For coin A, current value is 25 dollars and annual appreciation rate is 7%.
[tex]V(t)=25(1+0.07)^t[/tex]
[tex]V(t)=25(1.07)^t[/tex]
For coin B, current value is 40 dollars and annual appreciation rate is 5%.
[tex]V(t)=40(1+0.05)^t[/tex]
[tex]V(t)=40(1.05)^t[/tex]
Therefore, the required equations for coin A and B are [tex]V(t)=25(1.07)^t[/tex] and [tex]V(t)=40(1.05)^t[/tex] respectively.
The mean per capita income is 19,292 dollars per annum with a variance of 540,225. What is the probability that the sample mean would be less than 19269 dollars if a sample of 499 persons is randomly selected? Round your answer to four decimal places.
Answer:
The probability is 0.2423.
Step-by-step explanation:
Given mean per capita = 19292 dollars
Given the variance = 540225
Now find the probability that the sample mean will be less than 19269 dollar when the sample is 499.
Below is the calculation:
[tex]\bar{X} \sim N(\mu =19292, \ \sigma = \frac{\sqrt{540225}}{\sqrt{499}}) \\\bar{X} \sim N(\mu =19292, \ \sigma = 32.90) \\\text{therefore the probability is:} \\P (\bar{X}< 19269) \\\text{Convert it to standard normal variable.} \\P(Z< \frac{19269-19292}{32.90}) \\P(Z< - 0.6990) \\\text{Now getting the probability from standard normal table}\\P(Z< -0.6990) = 0.2423[/tex]
rectangle abcd is graphed on a coordinate plane. the following are the vertices of the angle : a(2,-3), b (4,-3), c(4,5), and d (2,5). what is the perimeter of rectangle abcd?
Answer:
P=20
Step-by-step explanation:
first find the distance between the points:
AB, BC,CD and DA
A(2,-3) , B(4,-3) , C(4,5) , D (2,5)
distance d= √(x2-x1)^2+(y2-y1)^2
for AB= d= √(4-2)^2+(-3-(-3))^2
AB=2
same thing for the rest of the lines
BC=√(4-4)^2+(5-(-3))^2
BC=8
CD=2
DA=8
perimeter=8+8+2+2=20
Find all polar coordinates of point P = (2,14°)
Answer:
[tex](2,14^{\circ}+360^{\circ}n)\text{ and }(-2,194^{\circ} +360^{\circ}n)[/tex].
Step-by-step explanation:
If a point is [tex]P=(r,\theta)[/tex], the all polar coordinates are defined as
In radian : [tex](r,\theta +2n\pi)\text{ and }(-r,\theta +(2n+1)\pi)[/tex]
In degree : [tex](r,\theta +360^{\circ}n)\text{ and }(-r,\theta +(2n+1)180^{\circ})[/tex]
where, n is any integer.
The given point is
[tex]P=(2,14^{\circ})[/tex]
So, all polar coordinates are
[tex](2,14^{\circ}+360^{\circ}n)\text{ and }(-2,14^{\circ} +(2n+1)180^{\circ})[/tex]
[tex](2,14^{\circ}+360^{\circ}n)\text{ and }(-2,14^{\circ} +360^{\circ}n+180^{\circ})[/tex]
[tex](2,14^{\circ}+360^{\circ}n)\text{ and }(-2,194^{\circ} +360^{\circ}n)[/tex]
Therefore, the required polar coordinates are [tex](2,14^{\circ}+360^{\circ}n)\text{ and }(-2,194^{\circ} +360^{\circ}n)[/tex], where n is any integer.
Nikki had a $50 gift card for her favorite store. She used the gift card to buy 4 DVDs and still had money available on the card after the purchase. If the DVDs were all the same price, which inequality best represents the possible price of each DVD? a.. p greater-than 12.50 b.. p greater-than-or-equal-to 12.50 c.. p less-than 12.50 d.. p less-than-or-equal-to 12.50
Answer:
it is c
Step-by-step explanation:
i did it myself like a man. (this is for edgenutiy 2020)
The inequality representing the possible price of each DVD is P < 12.50
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, Nikki had a $50 gift card for her favorite store. She used the gift card to buy 4 DVDs and still had money available on the card after the purchase, the DVDs were all the same price,
We need to find the possible price of each DVD,
Since, the maximum amount in the card is $50, after buying 4 DVDs there is still money available on the card,
Therefore, the maximum possible price of one DVD can be $50/4 = $12.5
But there is still money available on the card, that means the price of the DVD is less than $12.5
If p be the price of the one DVD, then,
p < 12.50
Hence, the inequality representing the possible price of each DVD is P < 12.50
Learn more about inequality, click;
https://brainly.com/question/28823603
#SPJ6
Suppose that you are seated next to a stranger on an airplane and you start discussing various topics such as where you were born (what state or country), what your favorite movie of all time is, your spouse's occupation, and so on. For simplicity, assume that the probability that your details match for any given topic is 1 50 and is independent from one topic to the next. If you discuss 17 topics, how surprising would it be to find that you match on at least one of them
Answer:
1/17 0r 6%
Step-by-step explanation:
the answer is rounded up for you
Help
Use a calculator to find the
square root of 74 and round
to the nearest tenth.
d = 174.
d = [?]
Answer:
8.6
Step-by-step explanation:
The square root of 74 is 8.602325267. If you round this number to the nearest tenth you get 8.6
The square root of 74 is 8.602325267. If you round this number to the nearest tenth you get 8.6.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The square root of the value 74 will be calculated as below:-
D = √74
D = 8.602325267
D = 8.6
Therefore, the square root of 74 is 8.602325267. If you round this number to the nearest tenth you get 8.6.
To know more about expression follow
https://brainly.com/question/723406
#SPJ2
describe the solution to the system of equations graphed below.
Answer:
Step-by-step explanation:
The answer is B, the solution to your equation is at (2,1). Your solution is where the two lines meet.
Answer:
The second option.
Step-by-step explanation:
When two lines intersect, they usually intersect at just one point (unless they are parallel, where they never intersect; or no solutions when they infinitely intersect).
According to the graph provided, the lines are intersecting at one point: (2, 1).
So, your answer will be the second option!
Hope this helps!
A triangular portion of a baseball field is marked as shown below to the nearest 10th what is the length of the side label C
Answer:
A
Step-by-step explanation:
Here, we are told to calculate the length of the side labeled c.
The best thing to do here is to use sine rule.
Mathematically;
c/sin 28 = 3/sin 36
3sin 28 = c sin 36
c = 3sin 28/sin 36
c = 2.396 which is approximately 2.40 yds
Answer:
A. 2.4 yds
Step-by-step explanation:
How many solutions does the nonlinear system of equations graphed below
have?
Answer:
the nonlinear system of equations have D. three solutions
HELP PLZ ! Solve the system of equations using substitution show work plz
━━━━━━━☆☆━━━━━━━
▹ Answer
(-1, -5)
▹ Step-by-Step Explanation
y = 3x - 2
x - y =4
x - (3x - 2) = 4
x = -1
y = 3(-1) - 2
y = -5
(x, y) = (-1, -5)
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Which relation is not a function?
a) y = 1x + 7
by=- 4(x + 3)2 + 10
c) -2y = - 3x + 9
d) x2 + y2 = 25
Answer:
x^2+y^2=25
Step-by-step explanation:
x^2+y^2=25 graphs a circle. A relation is a function if every x only has one y value. This is not true in a circle.
Answer:
d) x^2 + y^2 = 25.
Step-by-step explanation:
D is the equation of a circle so it fails the vertical line test for a function. If a relation is a function then any vertical line passing through it's graph will only intersect it once. This is not true of a circle.
Find the area of this triangle..
Answer: 25.71
Step-by-step explanation:
The area of a triangle is b*h/2. First, focus on finding the missing height. To find the height, use the pythagorean theorem. The pythagorean theorem only works on rights triangles. If you divide the triangle in half (vertically), you end up with two right triangles. From there, use the pythagorean theorem. The equation for the theorem is a²+b²=c². a and b are the sides and c is the hypotenuse(longest side).
1. For this triangle, you have the base and hypotenuse. Because there are technecally two right triangles, divide the base into two. 7.2/2 is 3.6.
2. Going back to what I said about a²+b²=c² , fill in the variables. The pythagorean theorem is used to find a missing side in a right triangle, so in this case, you would use it to find the height. 3.6²+X²=8². X represents the height which is 7.14
3. Finally, 7.14*7.2= 51.43.
4. Divide 51.43 by 2. 51.43/2 is 25.72.
I hope this wasn't too difficult to understand bc it's harded to explain without visuals. Hope this helped!
Answer:
[tex]\boxed{25.72 \: units^2}[/tex]
Step-by-step explanation:
Split the triangle into two triangles.
The base of one triangle is 3.6 and hypotenuse (longest side) is 8.
Use Pythagorean theorem to find length of one leg.
a² + b² = c²
3.6² + b² = 8²
b = 7.144228
The area of a triangle is [tex]\frac{1}{2} bh[/tex]
The base and height both are given now.
[tex]\frac{1}{2} (7.144228)(3.6)[/tex]
[tex]12.85961[/tex]
Multiply by 2 because there are two triangles.
[tex]12.85961 \times 2[/tex]
[tex]25.719221[/tex]
Here’s a graph of a linear function. Write the equation that describes that function.
Express it in slope-intercept form.
Answer:
The equation that describes the function is y = -6x-1
Step-by-step explanation:
Firstly we can see that the graph passes through the origin.
The general equation of a starlight line graph is;
y = mx + c
where m is the slope and c is the y-intercept
what’s left now is go find our slope
We need two points for this on the line.
Let’s identify these points;
The identifiable points are; (1,-7) and (-1,5)
So the formula for the slope is;
y2-y1/x2-x1 = (5-(-7))/(-1-1) = 12/-2 = -6
Thus, the equation of the line becomes
y = -6x + c
Looking at the graph again, we can see an obvious y-intercept at the point y = -1
So our intercept is -1
The equation of the line is thus;
y = -6x -1
A: What are the solutions to the quadratic equation 9x2 + 64 = 0?
B: What is the factored form of the quadratic expression 9x2 +64?
Select one answer for question A, and select one answer for question B.
B: (3x + 81)(x - 1)
B: (x-8)(3x-8)
B:(3x8)(3x + 8)
B: (3x - 81)(3x + 81)
Ax = or x = -1
A:x =
A: x = i orx = -
O A x = 1
Answer:
B: (3x + 81)(x - 1)
Step-by-step explanation:
i need the answer right now
using Pythagoras theorem work out the length of AB
ABC is a triangle,
1 side is 22 cm 1 side is 8 cm
1 side is unknown the
1 unknown side is unknown
work out AB using Pythagoras theorem
Answer:
AB = 23.40 cmSolution,
Base ( BC ) = 22 cm
Perpendicular ( AC) = 8 cm
Hypotenuse (AB) = ?
Now,
Using the Pythagoras theorem:
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
[tex] {h}^{2} = {(8)}^{2} + {(22)}^{2} [/tex]
[tex] {h}^{2} = 64 + 484[/tex]
[tex] {h}^{2} = 548[/tex]
[tex]h = \sqrt{548} [/tex]
[tex]h = 23.40 \: cm[/tex]
Hope this helps..
Good luck on your assignment...