Answer:
(y-1)
Step-by-step explanation:
simplified you split y^2-1y+-4y+4 this is further simplified by splitting equation into y(y-1) -4(y-1) this leaves you with (y-4)(y-1)/(y-4) y-4 will cancel out and you are left with y-1
The graph plots four equations, A, b,c,and d
Which pair of equations has (0.8) as its solution?
Equation A and Equation C
Equation B and Equation
Equation C and Equation D
Equation B and Equation D
Answer:
equation A and equation c
Answer:
Equation A and Equation C
suppose 2 standard 6 sided dice are rolled at the same time. what is the smaple space for the multiplication of the values for the 2 die
Answer:
Step-by-step explanation:
Following is the sample space for all the possible outcomes when 2 standard 6-sided dice are rolled simultaneously:
1 2 3 4 5 6
1 1,1 1,2 1,3 1,4 1,5 1,6
2 2,1 2,2 2,3 2,4 2,5 2,6
3 3,1 3,2 3,4 3,4 3,5 3,6
4 4,1 4,2 4,3 4,4 4,5 4,6
5 5,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6
Therefore the sample space for the multiplication of the two values in each possible outcome:
elements of the set are:
1*1=1
1*2=2
1*3=3
...........
2*1=2
2*2=4
2*3=6
.............
so on...
Therefore the complete set:
S={ 1, 2, 3, 4, 5, 6, 2, 4, 6, 8, 10, 12, 3, 6, 9, 12, 15, 18, 4, 8, 12, 16, 20, 24, 5, 10, 15, 20, 25, 30, 6, 12, 18, 24, 30, 36 }
Which equation in slope-intercept form represents a line that is parallel to y=1/2x-2 and passes through the point (-8,1)?
Answer:
[tex]\displaystyle y=\frac{1}{2}x+5[/tex]
Step-by-step explanation:
We want to find the slope in slope-intercept form of a line that is parallel to:
[tex]\displaystyle y=\frac{1}{2}x-2[/tex]
And passes through the point (-8, 1).
Recall that parallel lines have equivalent slopes.
Since the slope of our given line is 1/2, the slope of our new line must also be 1/2.
We are also given that it passes through the point (-8, 1). Since we are given a slope and a point, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Substitute 1/2 for m and (-8, 1) for (x₁, y₁). Hence:
[tex]\displaystyle y-(1)=\frac{1}{2}(x-(-8))[/tex]
Since we want the equation in slope-intercept form, we can isolate y. Distribute:
[tex]\displaystyle y-1=\frac{1}{2}x+4[/tex]
Therefore, our equation is:
[tex]\displaystyle y=\frac{1}{2}x+5[/tex]
A rectangular tank 60 cm long and 50 cm wide is /5 full of water. When 24 liters of water are added, the water level rises to the brim of the tank. Find the height of the tank. (1 liter is 1000cm3 )
Answer:
The tank is 10cm high
Step-by-step explanation:
Given
[tex]L=60cm[/tex] -- length
[tex]W=60cm[/tex] -- width
[tex]x = \frac{1}{5}[/tex] --- water lever
[tex]Addition = 24L[/tex]
Required
The height of the tank
Let y represents the remaining fraction before water is added.
So:
[tex]y + x = 1[/tex]
Make y the subject
[tex]y = 1 - x[/tex]
[tex]y = 1 - \frac{1}{5}[/tex]
Solve
[tex]y = \frac{5 - 1}{5}[/tex]
[tex]y = \frac{4}{5}[/tex]
Represent the volume of the tank with v
So:
[tex]y * v = 24L[/tex]
Make v the subject
[tex]v = \frac{24L}{y}[/tex]
Substitute: [tex]y = \frac{4}{5}[/tex]
[tex]v = \frac{24L}{4/5}[/tex]
[tex]v = 30L[/tex]
Represent the height of the tank with h;
So, the volume of the tank is:
[tex]v = lwh[/tex]
Make h the subject
[tex]h = \frac{v}{lw}[/tex]
Substitute values for v, l and w
[tex]h = \frac{30L}{60cm * 50cm}[/tex]
Convert 30L to cm^3
[tex]h = \frac{30*1000cm^3}{60cm * 50cm}[/tex]
[tex]h = \frac{30000cm^3}{3000cm^2}[/tex]
[tex]h = 10cm[/tex]
What does 1/8 equal to
Answer:
0.125
Step-by-step explanation:
It could be a lot of things, but if you mean the decimal form then it would be 0.125. Just divide 1 by 8.
a 10 foot ladder rests against a vertical wall if the bottom of the ladder slides away from the wall at a speed of 2 ft/s how fast is the angle betwween the top of the ladder and the wall changing when that angle is
Answer:
d∅/dt = √2/5 Rad/sec
Step-by-step explanation:
According to the Question,
Given That, a 10-foot ladder rests against a vertical wall if the bottom of the ladder slides away from the wall at a speed of 2 ft/s how fast is the angle between the top of the ladder and the wall changing when that angle is π/4.Solution,
Let x be the Distance between the base of the wall and the bottom of the ladder.
and let ∅ be the angle between the top of the ladder and the wall.
Then, Sin∅ =x/10 so, x=sin∅ *10
Differentiating with respect to time t we get,
dx/dt = 10 * cos∅ * d∅ /dt
We have given that dx/dt = 2 ft/s and ∅ =π/4Now, Put these value we get
2 = 10 *(cos(π/4))* d∅/dt
2 = 10/√2 * d∅/dt
d∅/dt = √2/5 Rad/sec
if f(1) = 2 – 2 anid 9(37)
and g(x) = x2 – 9, what is the domain of g(x) = f(x)?
Answer:
B
Step-by-step explanation:
Let divide g(x) by f(x)
[tex] \frac{ {x}^{2} - 9 }{2 - x {}^{ \frac{1}{2} } } [/tex]
The domain of a rational function cannot equal zero so let set the bottom function to zero.
[tex]2 - x {}^{ \frac{1}{2} } = 0[/tex]
[tex]x {}^{ \frac{1}{2} } = 2[/tex]
Square both sides
[tex]x = 4[/tex]
Also we can simplify the bottom denomiator into a square root function
[tex]2 - \sqrt{x} [/tex]
The domain of a square root function is all real number greater than or equal to zero because a square root of a negative number isn't graphable.
So we must find a answer that
Disincludes 4 from the intervalDoesnt range in the negative number or infinity)Range out in positve infinityThe answer to that is BFind the measure of the missing angle using the exterior angle sum theorm
Step-by-step explanation:
the sum of angels of a triangle is 180°
130+ ? + (180-160) = 180
130+ ? +20= 180
150+ ? = 180
? = 30°
the missing angle is 30°
PLEASEEE HELPPPPPPP
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 9(1.04)d
What is the average rate of change of the function f(d) from d = 3 to d = 9, and what does it represent?
Answer:
0.4476
Step-by-step explanation:
How many triangles are there in the picture?
five I think I am not sure
what is the value of b?
Answer: The b-value is the middle number, the number next to the X
10 points 2 questions best one get brainliest
Answer:
9a. GCF: 16. LCM: 960
9b. GCF: 55. LCM: 275
9c. GCF: 24. LCM: 114
9d. GCF: 40. LCM: 600
10a. GCF: 120. LCM: 1440
10b. 10, 2, 5, 20
10c. 2880, 4320, 5760, 7200
Triangle MNO is isosceles. Find the value of y and the measure of Angle O. Y=______
Angle O=_______degrees
Answer:
y = -5
o = 35 degrees
Step-by-step explanation:
If you replace y with -5, the statement 7y = 4y - 15 is correct. You get -35 = -35. Hope this helped!
HELPP!
The functions f(x) and g(x) are described using the following equation and table:
f(x)=-4(1.09)x
Answer:
A: The y-intercept of f(x) is equal to the x-intercept of g(x)
Step-by-step explanation:
From the equation of f(x) given, we have;
f(x) = -4(1.09)^(x)
Now,the y-Intercept will be the point where x = 0.
Thus;
f(0) = -4(1.09)^(0)
f(0) = -4
Now,from the table given for g(x), we can see that at x = 0,g(x) = -4.
Thus,it means that the y-intercept of f(x) is equal to the x-intercept of g(x)
Easy
a) -2,-5.-8.-11,...
Step-by-step explanation:
???????? what is easy??
Determine whether each sequence is arithmetic or geometric. Sequence 1: –10, 20, –40, 80, ... Sequence 2: 15, –5, –25, –45, ...
A. Sequence 1 is arithmetic and Sequence 2 is geometric.
B. Both sequences are geometric.
C. Sequence 2 is arithmetic and Sequence 1 is geometric.
D. Both sequences are arithmetic.
sequence 2 may be arithmetic because -20 but I can't find out what sequence 1 is
Answer:
Step-by-step explanation:
C-10,20,-40,80,...[tex] u_{n+1}=(-2)*u_{n}[/tex]. is geometric1
Which numbers are solutions to the inequality X > 14- 5? Check all that apply.
fractions larger than
14.
decimals larger than 14
145
whole numbers larger than 14
the number 14
fractions smaller than 14
2
Answer:
fractions larger than 14 and one-half
decimals larger than 14 and one-half
whole numbers larger than 14 and one-half
Step-by-step explanation:
Which numbers are solutions to the inequality x greater-than 14 and one-half? Check all that apply.
Given that the inequality is represented by [tex]x>14\frac{1}{2}[/tex], i.e. x > 14.5
This inequality represent all the set of real numbers which are greater than 14.5. Whereas numbers including 14.5 and below are not involved. Hence the numbers that are a solution to this inequality are:
fractions larger than 14 and one-half
decimals larger than 14 and one-half
whole numbers larger than 14 and one-half
Write a phrase in words to match each expression.
5+3
——
n
Answer:
sum of five and 3 is divided by n
HELP ASAP PLEASE NOWWWW!!!!!!!!!!!!!!!
(x - [3])² + (y- [2])² = 16
Verify that cos squared A plus Sin squared A is equal to 1 if A is equal to 90 degrees
Answer:
see explanation
Step-by-step explanation:
To verify cos²A + sin²A = 1 with A = 90° , then
cos²90° + sin²90°
= (0)² + (1)²
= 0 + 1
= 1
help please i need help help
Answer: here is a picture of all of them I hope this helps :). This picture will clearly show the answers for 1 and 2
Step-by-step explanation:
ABCD is a quadrilateral.
a) Calculate the value of x.
b) When ABCD is drawn to scale, would the lines AD and BC be parallel or not? A You must justify your answer without using a scale drawing.
Answer:
A) 45=x
B) Yes, since both A and B are 90°
6x+90=360
6x=270
x=45
No lines are not parallel
A baseball league is holding registration for both a men's league and a women's league. Only a total of 400 players can register, and each team consists of exactly 10 players. If 24 women's teams have already registered, which inequality could be used to find m, the number of men's teams that can register?
A.
24(10) + 10m < 400
B.
24(10) + 10m > 400
C.
24(10 + 10m) > 400
D.
24(10 + 10m) < 400
The sum of two numbers is 50. The larger number is 20 more than the smaller number. What are the numbers?
Answer:
the smaller number is 15 and the larger number is 35
Step-by-step explanation:
x+y=50
x=smaller number y=larger number
y=x+20
x+(x+20)=50
2x+20=50
2x=30
x=15
smaller number=15
larger number= 15+20=35
Answer:
Smaller: 15
Larger: 35
Step-by-step explanation:
1. Finding the two equationsLarger: y
Smaller: x
[tex]x+y=50[/tex]
[tex]y=20+x[/tex]
2. Plugging it in[tex]x+20+x=50\\2x=50-20\\2x=30\\x=15[/tex]
[tex]15+y=50\\y=50-15\\y=35[/tex]
x=15; y=35
Hope this helped! Please mark brainliest :)
Simplify the expression. x^4/ x^7
a x-11
b x-3
c x11
b x3
Answer:
b
Step-by-step explanation:
[tex]\frac{x^4}{x^7} =x^4 \times x^{-7} =x^{4-7} =x^{-3}[/tex]
Research suggests improvements in human capital explains what percentage of the growth in U.S. Productivity from 1950 to the early 2000s?
Answer: 20%
Step-by-step explanation:
Human capital refers to the expertise that people gain as a result of working. This includes skills they gain from training and actually working. For instance, the skills a Brainly website designer gets from working on Brainly.
Research suggests that this human capital has led to about a 20% growth in U.S. productivity from the year 1950 to the year 2007 which means that it is a very significant factor in the growth of the country.
Carol ran a 100 meter race in 13. 4 seconds. But, it was wrongly
measured as 14.1 seconds. What is the percent error involved in the
measurement?
Answer: Approximately 5.22%
========================================================
Work Shown:
A = true value = 13.4 seconds
B = measured value (erroneous value) = 14.1 seconds
C = percent error
C = [ (B-A)/A ] * 100%
C = [ (14.1-13.4)/(13.4) ] * 100%
C = 0.0522 * 100%
C = 5.22%
This value is approximate.
What is the value of the power? Negative StartFraction 9 Over 12 EndFraction Negative StartFraction 27 Over 64 EndFraction StartFraction 9 Over 12 EndFraction StartFraction 27 Over 64 EndFraction
Answer:
[tex](\frac{-3}{4})^3 = -\frac{27}{64}[/tex]
Step-by-step explanation:
Given
[tex](\frac{-3}{4})^3[/tex]
Required
Evaluate
The expression can be represented as:
[tex](\frac{-3}{4})^3 = (\frac{-3}{4})*(\frac{-3}{4})*(\frac{-3}{4})[/tex]
So, we have:
[tex](\frac{-3}{4})^3 = \frac{-3*-3*-3}{4*4*4}[/tex]
[tex](\frac{-3}{4})^3 = \frac{-27}{64}[/tex]
Rewrite as:
[tex](\frac{-3}{4})^3 = -\frac{27}{64}[/tex]
Answer:
B -27/64
Step-by-step explanation:
Which of the following is the explicit rule for a geometric sequence defined by
a recursive formula of a, - 138-1 for which the first term is 7?
Answer:
C
Step-by-step explanation:
What you wrote is not the same thing as what the question is, or at least I don't think so. I'll answer the printed question.
First of all, the 13 is what separates each of the terms. In other words 7 is the first term. 13 must be raised to the n - 1 power.
It is written like this
an = 7 * 13^(n - 1)
you want a1 to be 7. The only way that can happen is if 13^0 which gives you 1.
So the correct answer is C
Given PQR, R=90º....
Answer:
RQ = 9 units
Step-by-step explanation:
