Answer:
36
Step-by-step explanation:
hello
we need to take 80% of 45
[tex]\dfrac{80*45}{100}=\dfrac{3600}{100}=36[/tex]
so there are 36 fiction books
hope this helps
Answer:
36
Step-by-step explanation:
[tex](80 \times 100) \times 45 = 36[/tex]
Fiction books are 36
nonfiction books are 9
Which expression can be simplified to find the slope of the line of best-fit in the scatterplot below? On a graph, a trend line goes through points (4, 35) and (16, 134). StartFraction 134 minus 35 Over 16 minus 4 EndFraction StartFraction 134 minus 16 Over 35 minus 4 EndFraction StartFraction 4 minus 16 Over 35 minus 134 EndFraction StartFraction 4 minus 16 Over 134 minus 35 EndFraction
Answer:
134-35/16-4 (A)
Step-by-step explanation:
I just know
Answer
A) 134-35/16-4
Step-by-step explanation:
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!
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 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
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
How many solutions does the nonlinear system of equations graphed below
have?
Answer:
the nonlinear system of equations have D. three solutions
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)
i need the answer right now
What is the volume of a sphere with a radius of 18 units?
O A. 77767 units3
B. 12967 units3
O C. 58327 units3
D. 1944 units
Answer:
24,429.0245 square units
Step-by-step explanation:
The volume of a sphere can be found using the following formula.
[tex]V=\frac{4\pi r^3}{3}[/tex]
The radius is 18 units. Therefore, we can substitute 18 units in for r.
[tex]V=\frac{4\pi (18units)^3}{3}[/tex]
First, evaluate the exponents.
18 units^3= 18 units * 18 units * 18 units= 5832 units^3
[tex]V=\frac{4\pi (5832 units^3)}{3}[/tex]
Multiply 4 and pi.
[tex]V=\frac{12.5663706*5832 units^3}{3}[/tex]
Multiply in the numerator.
[tex]V=\frac{73287.0733 units^3}{3}[/tex]
Divide
[tex]V=24429.0245 units^3[/tex]
The volume of the sphere is 24,429.0245 units^3
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: 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:
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.
Can someone please help me I really need help please help me thank you
Answer:
This is modelling the exterior angle formula which states that the measure of an exterior angle is equal to the sum of the measures of its two remote interior angles. Therefore, the answer is x = a + b.
Answer:
x = a+b
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
x = a+b
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.
Select the correct answer.
Identify the expression equivalent to 4(x + x + 7) - 2x + 8 - 4 by substituting x = 1 and x = 2.
PLZ HELP
Answer:
Option (C)
Step-by-step explanation:
Given expression is 4(x + x + 7) - 2x + 8 - 4
When x = 1,
Value of the expression will be,
= 4(1 + 1 + 7) - 2(1) + 8 - 4
= 4(9) - 2 + 8 - 4
= 36 - 2 + 8 - 4
= 38
For x = 2,
= 4(2 + 2 + 7) -2(2) + 8 - 4
= 44 - 4 + 8 - 4
= 44
Now we will check the same for the given options.
Option (A). For x = 1,
6x + 11 = 6(1) + 11
= 17
For x = 2,
6x + 11 = 6(2) + 11
= 23
Option (B). For x = 1,
3(x + 7) = 3(1 + 7)
= 24
For x = 2,
3(x + 7) = 2(2 + 7)
= 18
Option (C), x = 1
2(3x + 16) = 2[3(1) + 16]
= 38
For x = 2,
2(3x + 16) = 2[3(2) + 16]
= 44
Option (D), For x = 1,
= 19
For x = 2,
2(3x + 16) = 2[3(2) + 16]
= 44
Since value of the expression for x = 1 and 2 matches with the value in option (C)
Therefore, Option (C) will be the answer.
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)
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:
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.
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
Simplify the following expression. 3 – 2(–6x + 3)
Answer:
-3 + 12x
Step-by-step explanation:
3 - 2(-6x + 3)
3 + 12x - 6
-3 + 12 x
Hope this helped! :)
Bacteria in a petri dish doubles every 10 minutes.
a) If there are 10 bacteria initially, how many are there after 120 minutes?
b) If there are 10 bacteria initially, when would there be a million bacteria?
(Show step by step)
Answer:
Step-by-step explanation:
Givens
Petri Dish A sees a double ever 10 minutes
Petri Dish B sees a double ever 6 minutes
Consequences
A doubles 60 / 10 = 6 times.
B doubles 60 / 6 = 10 times.SolutionIf you work best with numbers then suppose there are 100 bacteria in both dishes at the beginningA = 100 * 2^6B = 100 * 2^10A will have 100 * 64 = 6400 bacteria growing inside AB will have 100 * 1024 = 102400 bacteria growing inside BB/A = 102400 / 6400 = 16There are 16 times as many in B than in A
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
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:
Solve the equation x^2 – 16x + 25 = 0 to the nearest tenth.
Answer:
1.8 and 14.3
Step-by-step explanation:
Our equation is a quadratic equation so we will use the dicriminant method
Let Δ be our dicriminant a=1b= -16c= 25Δ= (-16)²-4*25*1=156≥0 so we have two solutions : x and y x= (16-[tex]\sqrt{156}[/tex])/2= 1.7555≈ 1.8y=(16+[tex]\sqrt{156}[/tex])/2=14.244≈ 14.3Name the following polynomial:4x^(2)+8n+16
Answer:
a 2nd degree trinomial
Step-by-step explanation:
First, this polynomial has 3 terms which are 4x^2, 8n, and 16. This makes this polynomial a trinomial.
Second, the highest degree in this polynomial is a degree of 2 because of the term 4x^2. This makes this polynomial a 2nd degree polynomial.
Lastly, when you put all of this together you get a 2nd degree trinomial.
Answer:
Step-by-step explanation:
Cubic trinomial
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
1,305 divided by 31,828 x100
Answer:
[tex]4 \frac{1}{10}[/tex]
Step-by-step explanation:
=> [tex]\frac{1305}{31828} * 100[/tex]
=> 0.041 * 100
=> 4.1
=> [tex]4 \frac{1}{10}[/tex]
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
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]
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.