Answer:
[tex]16(x^{2})[/tex]
Step-by-step explanation:
we know that
[tex](4x)^{2} =(4^{2})(x^{2})=16(x^{2})[/tex]
therefore
The expression in the form [tex]k(x^{n})[/tex] is equal to
[tex]k(x^{n})=16(x^{2})[/tex]
where
k=16
n=2
I need help please!!
Answer:
about 32.9
Step-by-step explanation:
By looking at the triangle, you can see that there is both an angle and a side provided. This allows you to use trigonometry (sin, cos, tan). You have to use tan to find the answer since it is used when you have either the opposite side or adjacent side and are solving for one of them. You take the tangent of the angle and set it equal to the opposite over the adjacent (see image attached).
I hope this helps.
Also sorry that the image is the wrong way, but it wouldn't let me attach it the right way.
QUESTION 1
Given a right triangle, the unknown side is opposite to the 35° angle.
The side adjacent to this angle is 47 units.
We use the tangent ratio to get:
[tex] \tan(35 \degree) = \frac{opposite}{adjacent} [/tex]
[tex] \tan(35 \degree) = \frac{x}{47} [/tex]
[tex] x = 47\tan(35 \degree)[/tex]
[tex]x = 32.9units[/tex]
to the nearest tenth.
QUESTION 2
The given angle is 47°
The opposite side is x units.
The adjacent side is 40 units.
We again use the tangent ratio to obtain:
[tex] \tan(47 \degree) = \frac{x}{40} [/tex]
[tex]x = 40\tan(47\degree) [/tex]
[tex]x = 42.9units \: to \: the \: nearest \: tenth[/tex]
Geometry, Triangle in a circle. Find X show work and explain please
Answer: [tex]x=7[/tex]
Step-by-step explanation:
By the Intersecting Secants Theorem, we know that:
[tex](5)(x+5)=(6)(6+4)[/tex]
Having this, we can find the value of "x" by solving for "x":
Applying Distributive property:
[tex](5)(x+5)=(6)(24)\\5x+25=60[/tex]
Subtract 25 from both sides of the equation:
[tex]5x+25-25=60-25\\5x=35[/tex]
And finally dviding both sides of the equation by 5, we get:
[tex]\frac{5x}{5}=\frac{35}{5}\\x=7[/tex]
Answer:
35/5 it would be 35 over 5
Step-by-step explanation:
simplify x squared - 9/ x squared - 3x
Answer:
see explanation
Step-by-step explanation:
Given
[tex]\frac{x^2-9}{x^2-3x}[/tex]
Factorise the numerator/denominator
x² - 9 = (x - 3)(x + 3) ← difference of squares
x² - 3x = x(x - 3) ← common factor of x
The fraction simplifies to
[tex]\frac{(x-3)(x+3)}{x(x-3)}[/tex] ← cancel (x - 3) on numerator/denominator
= [tex]\frac{x+3}{x}[/tex]
a bag with 10 marbles is shown below. a marble is chosen from the bag at random. what are odds in favor of choosing a black marble
Divide the number of black marbles by 10, the total number of marbles. If there is one black marble, the chances of choosing a black marble is 1/10.
Cross multiplication
Answer:
7. 5/6 8. 3/12
Step-by-step explanation:
60 points !!
Triangle QRS is shown on the coordinate grid. Triangle QRS is dilated with the origin as the center of dilation using the rule (x, y) → ( 1/4 x, 1/4 y) to create triangle Q'R'S'. Which statement is true? A) Triangle Q'R'S' is smaller than triangle QRS, because the scale factor is less than 1. B) Triangle Q'R'S' is larger than triangle QRS, because the scale factor is less than 1. C) Triangle Q'R'S' is larger than triangle QRS, because the scale factor is greater than 1. D) Triangle Q'R'S' is smaller than triangle QRS, because the scale factor is greater than 1.
https://lh3.googleusercontent.com/qPYvRzvroDEYvaSZbKCSiNmf-uxSPXZzCkwcqzIAnhtvrmk7zmrkSt5hQ-lftybdtUCa-A=s91
Answer:
A
Step-by-step explanation:
The triangle is being scaled down by a factor of 1/4. So Q'R'S is smaller than QRS because the scale factor is less than 1. Answer A.
Answer:\
The answer is A :) I took the assignment
(please hurry)Consider this composite figure.
Composite Figure
Apply the formula of each shape to determine the volumes.
What is the exact volume of the composite figure?
V =
π cm³
Answer:
39pi cm 3
Step-by-step explanation:
i just did the assingment
The composite figure is the combination of the two cones. The volume of the composite figure will be 39π cm³.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The volume of the composite figure.
The composite figure is the combination of the two cones.
[tex]V = \dfrac{1}{3} \times \pi \times 3^2 \times 5 + \dfrac{1}{3} \times \pi \times 3^2 \times 8\\[/tex]
On simplifying, we have
V = 15π + 24π
V = 39π cm³
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i need to find the sum of this equation
Answer:
[tex]\large\boxed{\dfrac{3s^2+19s-4}{(s-1)^2(s+5)}=\dfrac{3s^2+19s-4}{s^3+3s^2-9s+5}}[/tex]
Step-by-step explanation:
[tex]s^2-2s+1=s^2-s-s+1=s(s-1)-1(s-1)=(s-1)(s-1)=(s-1)^2\\\\s^2+4s-5=s^2+5s-s-5=s(s+5)-1(s+5)=(s+5)(s-1)\\\\\text{Therefore}\ LCD\ \text{is}\ (s-1)^2(s+5).[/tex]
[tex]\dfrac{3s}{s^2-2s+1}+\dfrac{4}{s^2+4s-5}=\dfrac{3s(s+5)}{(s-1)^2(s+5)}+\dfrac{4(s-1)}{(s-1)^2(s+5)}\\\\\text{use the distributive property}\\\\=\dfrac{(3s)(s)+(3s)(5)+(4)(s)+(4)(-1)}{(s-1)^2+(s+5)}=\dfrac{3s^2+15s+4s-4}{(s-1)^2(s+5)}\\\\=\dfrac{3s^2+19s-4}{(s-1)^2(s+5)}[/tex]
what is the complete factorization of the polynomial below
Answer:
B
Step-by-step explanation:
(x+2)(x^2+1)
=(x+2)(x+1)(x+1)
Answer:
( x + i)(x -i) ( x +2).
Step-by-step explanation:
Given : x³ + 2x² +x +2.
To find : complete factorization of the polynomial below.
Solution : We have given x³ + 2x² +x +2.
On taking common x² from first two terms and 1 from last two terms .
x² ( x +2) +1 (x +2).
On grouping
(x² +1) ( x +2).
Now factor of (x² +1) become ( x + i)(x -i) in complex form .
Factors are ( x + i)(x -i) ( x +2).
Therefore, ( x + i)(x -i) ( x +2).
which of the following properties can be used to show that the expression?
Answer:
1 3 5set/dhzhhhhhhhhhhhhhhhhhhh
The expression [tex]\(4^5/3\)[/tex] is indeed equivalent to[tex]\(\sqrt[3]{4^5}\)[/tex].
The correct option is (a).
To demonstrate that the expression[tex]\(4^5/3\) is equivalent to \(\sqrt[3]{4^5}\)[/tex], we can apply the following properties:
1. Radical to Exponent Property:
- The expression [tex]\(\sqrt[3]{4^5}\) can be rewritten as \(4^{5/3}\)[/tex].
- This property allows us to convert a radical expression to an exponent expression by raising the base to the reciprocal of the index of the radical.
2. Exponent to Radical Change Property:
- The fraction exponent [tex]\(5/3\)[/tex] can be expressed as a radical: [tex]\(\sqrt[3]{4^5}\)[/tex].
down step-by-step:
1. Start with the given expression: [tex]\(4^5/3\)[/tex].
2. Apply the **Radical to Exponent Property: [tex]\[4^5/3 = 4^{5/3}\][/tex]
3. Now, express the fraction exponent as a radical:
[tex]\[4^{5/3} = \sqrt[3]{4^5}\][/tex]
Therefore, the expression [tex]\(4^5/3\)[/tex] is indeed equivalent to[tex]\(\sqrt[3]{4^5}\)[/tex].
what is the prime fractorization of 180
Answer:
2^ .3^.5
Step-by-step explanation:
We need to obtain factors of 180 which are prime numbers
2^=4
3^=9
4.9.5 = 180
A pencil manufacturer uses 5,376 grams of rubber to make 960 pencils. If they use 64,512 grams of rubber an hour, how many pencils are made per hour?
A) 11,420 pencils per hour
B) 11,480 pencils per hour
C) 11,520 pencils per hour
D) 11,580 pencils per hour
This answer would be C because I had worked out answer good
For this case, we look for the number of pencils per gram of rubber.
[tex]\frac {960} {5,376} = 0.178571428571[/tex]
0.178571428571 pencils per gram of rubber are made
We are looking for the number of pencils per hour.
[tex]0.178571428571 \frac {penc} {g} * 64,512 \frac {g} {h} = 11,520 \frac {pen} {h}[/tex]
Thus, 11,520 pencils per hour are made.
Answer:
Option C
if Angela's house is assessed valuation of $61,200 and the tax rate per 100 is $3.78 what will she pay in annual real estate tax to the nearest tenth
Answer:
[tex]\boxed{\text{\$2313.40}}[/tex]
Step-by-step explanation:
The tax rate is $3.78/$100 assessed
[tex]\text{Tax} = \text{\$61 200 assessed} \times \dfrac{\text{\$3.78}}{\text{\$100 assessed}}[/tex]
Cancel the $100 assessed.
612 × $3.78 = $2313.40
Angela's real estate tax will be [tex]\boxed{ \textbf{\$2313.40}}[/tex]
what is the biggest star in the solar system
Answer:
Well we only have one star in our solar system so the Sun?
The sun is the biggest star. The sun is at the center of our solar system and is the nearest star to Earth. The sun is a huge ball of very hot, burning gas. The sun sends out heat and light into space.
NEED HELP FAST!!!!!!!!
i need a life fast plz
Answer:
[tex]m=0.002kg[/tex]
Step-by-step explanation:
The given formula is:
[tex]E=mc^2[/tex]
Divide both sides by [tex]c^2[/tex].
[tex]\implies \frac{E}{c^2}=\frac{mc^2}{c^2}[/tex]
Cancel out the common factors to get;
[tex]\implies \frac{E}{c^2}=m[/tex]
[tex]m=\frac{E}{c^2}[/tex]
When [tex]E=1.8\times10^{14}J[/tex] and [tex]c=300,000,000ms^{-1}[/tex], then
[tex]m=\frac{1.8\times10^{14}}{300,000,000^2}[/tex]
This simplifies to
[tex]m=0.002kg[/tex]
i neeed helpppp can someone help me?
Answer:
-8/5
Step-by-step explanation:
The thing that makes lines different from other kinds of curves is their constant rate of change. We call this rate of change slope, and you usually see it represented with the letter m. We measure it as the rate our y-coordinate changes for some amount our x-coordinate changes.
We're given the two points (-1, 4), and (4, -4). From that first point to the second one, our x-coordinate increases by 5, while our y-coordinate decreases by 8, so our change in y is -8 for every 5 in the positive x direction, and we'd write our slope as
m = -8/5
The circle below is centered at (-1, 1) and has a radius of 3. What is its
equation?
[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-1}{ h},\stackrel{1}{ k})\qquad \qquad radius=\stackrel{3}{ r}\\[2em] [x-(-1)]^2+[y-1]^2=3^2\implies (x+1)^2+(y-1)^2=9[/tex]
The equation of the circle will be ( x + 1 )² + ( y - 1 )² = 9.
What is the equation of circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
The equation of the circle can be written as,
( x - h)² + ( y - k )² = r².
Given that the circle below is centered at (-1, 1) and has a radius of 3. The equation of the circle will be written as,
( x - h)² + ( y - k )² = r².
( x + 1 )² + ( y - 1 )² = 9.
Hence, the equation can be written as ( x + 1 )² + ( y - 1 )² = 9.
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evaluate 9!/7! PLEASE I NEED HELP
Answer:
72
Step-by-step explanation:
Remember that 9! = 7! (8)(9)
write Substitute
7!(8)(9) for 9!
7!(8)(9)/ 7!= (8)(9)= 72
Answer: 72
Step-by-step explanation:
By definition, it is important to know that the factorial of a non-negative integer "n" is the product of all positive integers less than or equal to "n". This is expressed with an exclamation symbol (!):
[tex]n![/tex]
Then, the rule for this is the following:
[tex]n! = n *(n-1)![/tex]
Therefore, knowing this, you can evalute [tex]\frac{9!}{7!}[/tex] as following:
[tex]\frac{9*8*7*6*5*4*3*2*1}{7*6*5*4*3*2*1}=\frac{362,880}{5,040}=72[/tex]
Find the greatest common factor 5x^5y^2+15x^2y^3+x^3y^5
5x^5•y^2 + 15x^2•y^3 + x^3•y^5
GCF = (x^2)(y^2)
The greatest common factor of the given polynomial is x²y².
What is the greatest common factor?The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder.
The given expression is 5x⁵y²+15x²y³+x³y⁵.
In the given expression, there are three terms 5x⁵y², 15x²y³ and x³y⁵
5x⁵y²=5×x×x×x×x×x×y×y
15x²y³=3×5×x×x×y×y×y
x³y⁵ =x×x×x×y×y×y×y×y
So, the common factor = x×x×y×y
= x²y²
Therefore, the greatest common factor is x²y².
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What is the approximate area of the triangle below?
a)72.8
b)111.9
c)142.0
d)164.7
all in sq. cm.
I believe it’s B of joy them A
Answer:
A
Step-by-step explanation:
Got a 100
PLEASE HELP WILL MARK
Answer:
( 8.5 , 6.5 )
Step-by-step explanation:
Midpoint formula = ( x₁ + x₂ / 2 ) , ( y₁ + y₂ / 2 )
x₁ = 4
x₂ = 13
y₁ = 10
y₂ = 3
Midpoint = ( 4 + 13 / 2 ) , ( 10 + 3 / 2 )
Midpoint = ( 17 / 2 ) , ( 13 / 2 )
Midpoint = 8.5 , 6.5
richard wants to paint the top sides of the block column. what is the surface area he needs to cover?
First of all, you have to send the measurements; otherwise, there would not be an answer
The expression below is a sum of cubes. True or false
64x^3+ 125
A. True
B. False
Answer:
True
Step-by-step explanation:
64x³ + 125
64x³ = (4x)³ ← a perfect cube
125 = 5³ ← a perfect cube
Thus 64x³ + 125 ← is a sum of cubes
It is true that the expression which is given below is a sum of cubes.
The given expression is:
[tex]64x^{3} +125[/tex]
As we can see that there are two terms in it:
one is [tex]64x^{3}[/tex] and the second one is [tex]125[/tex].
So, at first, we will see [tex]64x^{3}[/tex]
[tex]64x^{3}=4^{3} *x^{3}[/tex]
from the above, we can state that [tex]64x^{3}[/tex] is a cube of [tex]4x[/tex].
Now, we will look at [tex]125[/tex].
So, [tex]125=5^{3}[/tex]
Therefore, we can also state that [tex]125[/tex] is a cube of [tex]5[/tex].
Hence, the given statement is true.
What is sum of cubes formula?The sum of cubes (a3 + b3) formula is expressed as a3 + b3 = (a + b) (a2 - ab + b2).
What is the rule for cubing a sum?Sum of cubes:The sum of a cubed of two binomial is equal to the cube of the first term, plus three times the square of the first term by the second term, plus three times the first term by the square of the second term, plus the cube of the second term.
What is the sum of cubes of n terms?The formula to find the sum of cubes of n natural numbers is S = [n2 (n + 1)2]/4, where n is the count of natural numbers that we take.
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Solve the equation.
5х + 8 – 3x = -10
Answer:
x=-9
Step-by-step explanation:
5x+8-3x=-10
2x+8=-10
2x=-18
Divide both sides by 2 to get
Answer is -9
What’s the area of a 72 ft diameter circle?
Answer:
4069.44
Step-by-step explanation:
a=pie R squared
What is the probability of you picking a weekend day from the days of the week?
Answer:
3/7
Step-by-step explanation:
its 3/7 because there are 3 weekend days and there are 7 days in total in one week, so out of the week there is 3 weekend days.
i hope this helps :)
The probability will be "[tex]\frac{1}{7}[/tex]". A further solution is below.
According to the question,
Number of days in a week,
7Number of weekend,
1Now,
The probability of you picking weekend day from the days of the week will be:
= [tex]\frac{Number \ of \ weekend}{Number \ of \ days \ in \ week}[/tex]
By substituting the values, we get
= [tex]\frac{1}{7}[/tex]
Thus the response above is appropriate.
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What is the smallest two-digit prime number?
Answer: 11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
the prime numbers (1-15 is the furthes i will go for this) are 2,3,5,7,11,13
as you can see the smallest two didget prime number is 11------------
Question 1(Multiple Choice Worth 5 points)
(8.01 LC)
Two lines, A and B, are represented by the equations given below:
Line A: x + y = 2
Line B: 2x + y = 4
Which statement is true about the solution to the set of equations?
There are infinitely many solutions.
There are two solutions.
There is one solution.
There is no solution.
Question 7(Multiple Choice Worth 5 points)
(8.02 MC)
Which of the following graphs shows a pair of lines that represent the equations with a solution (−5, 2)?
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the right and 5 units down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 5 units to the right and 2 units down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 5 units to the left and 2 units up.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the left and 5 units up.
Question 9(Multiple Choice Worth 5 points)
(8.03 LC)
A set of equations is given below:
Equation C: y = 2x + 6
Equation D: y = 2x + 2
Which of the following best describes the solution to the given set of equations?
One solution
Two solutions
No solution
Infinitely many solutions
Question 11(Multiple Choice Worth 5 points)
(8.01 MC)
Two lines, C and D, are represented by the equations given below:
Line C: y = x + 12
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
(4, 14), because one of the lines passes through this point
(4, 14), because the point lies between the two axes
(5, 17), because both lines pass through this point
(5, 17), because the point does not lie on any axis
Question 1:
Substitution.
x+y=2
y=-x+2
2x+(-x+2)=4
x=2
(2)+y=2
y=0
Solution: (2,0)
There is one solution
Question 7 is too confusing, just find where the points intersect at (-5,2).
Question 9:
Elimination.
(-1)y=2x+6
y=2x+2
New: -y=-2x-6
0=-4
No Solution
Question 11:
Just look at explanations.
It's (5,17) both lines etc..
Final answer:
The set of equations for Line A and Line B has one solution. The graph correctly represents the solution (-5, 2) if the lines intersect 5 units to the left and 2 units up. Equations C and D have no solution since the lines are parallel, and the solution to Lines C and D is (5, 17), with both lines passing through this point.
Explanation:
Question 1: To determine the relationship between Line A: x + y = 2 and Line B: 2x + y = 4, we can solve for y in both equations.
For Line A, y = 2 - x.
For Line B, y = 4 - 2x.
Since the coefficients of x are different in the two equations, and the y-intercepts are also different, the lines are not parallel nor identical. Therefore, they intersect at exactly one point, which means there is one solution to the set of equations.
Question 7: The coordinates of the solution is given as (-5, 2). Among the options, the one showing the lines intersecting at the point 5 units to the left and 2 units up represents the correct set of lines, so the graph that corresponds to this description contains the solution.
Question 9: Comparing the two equations: Equation C: y = 2x + 6 and Equation D: y = 2x + 2, we see that both have the same slope but different y-intercepts. Because they have the same slope but different y-intercepts, these lines are parallel and never intersect. Hence, there is no solution to this set of equations.
Question 11: To find the intersection point, we set the equations of Line C: y = x + 12 and Line D: y = 3x + 2 equal to each other and solve for x:
x + 12 = 3x + 2
Subtract x from both sides: 12 = 2x + 2
Subtract 2 from both sides: 10 = 2x
Divide by 2: x = 5
We then substitute x = 5 into one of the equations to find y:
For Line C: y = 5 + 12 = 17.
Hence, the solution to the set of equations is (5, 17), and both lines pass through this point, which lies between the two axes, but that is irrelevant to why it is the solution.
20) Which rule yields the dilation of the figure RSTU centered at the origin?
A)
(x, y) → (4x, 4y)
B)
(x, y) → (0.25x, 0.25y)
C)
(x, y) → (x + 4, y + 4)
D)
(x, y) → (x + 0.25, y + 0.25)
Answer: A) [tex](x,y)\to(4x,4y)[/tex]
Step-by-step explanation:
The rule of dilating a shape by scale factor k centered at the origin is given by :-
[tex](x,y)\rightarrow (kx,ky)[/tex] [We multiply k to the coordinates of pre-image ]
It means Option C) and D) is incorrect.
From the given graph , it can be observe that quadrilateral R'S'T'U' (image) is larger than the RSTU (pre-image) .
It means the scale factor should be greater than 1. [∵ Scale factor for enlargement is k>1]
Then, Option B is also incorrect.
Hence, the rule yields the dilation of the figure RSTU centered at the origin is given by option A)
i.e. [tex](x,y)\to(4x,4y)[/tex]
-4h - 6 + 15 = 17 ( I don’t understand the concept.)
the concept is to find the value of h
Answer:
it is an algebraic expression (answer is h = -2 )
Simplify the expression
−4h−6 + 15 = 17
(Combine Like Terms)
(−4h)+(−6+15)=17
−4h + 9 = 17
Step 2: Subtract 9 from both sides.
−4h + 9 − 9 = 17 − 9
−4h=8
Step 3: Divide both sides by -4.
[tex]\frac{-4h}{-4}[/tex] = [tex]\frac{8}{-4}[/tex]
h = -2
Step-by-step explanation: