Answer:
The fourth (last) function is the correct one.
Step-by-step explanation:
Look at the parent function y = √x, Its graph goes through (0, 0). On the other hand, if y = √(x - h), the graph goes through (h, 0) if h is positive, and the graph is translated h units to the right from the graph of y = √x. If h is negative, the graph is translated h units to the left.
In the four possible answers given, the values of h are {-4, 9, 5, -9}, in that order. h = -9 results in the graph that is positioned 9 units to the left of the graph of y = √x. This graph is furthest to the left. Thus the fourth choice is the correct one.
The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?
Answer:
15.25%
Step-by-step explanation:
The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?
We solve using the z score formula
z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean = μ = 12.34 ounces
σ is the population standard deviation = σ = 0.04 ounce
For x = 12.24
z = 12.24 - 12.34/0.04
z = -2.5
Probability value from Z-Table:
P(x = 12.24) = 0.0062097
For x = 12.30
z= 12.30 - 12.34/0.04
z = -1
Probability value from Z-Table:
P(x = 12.30) = 0.15866
Hence, the probability of the juice bottles contain between 12.24 and 12.30 ounces of orange juice
P(x = 12.30) - P(x = 12.24)
= 0.15866 - 0.0062097
= 0.1524503
Therefore, the percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice is calculated as:
= 0.1524503 × 100
= 15.24503%
= 15.25%
help pls i beg youuu
Answer:
height = 10 m
Step-by-step explanation:
base area of rectangular pyramid =180 m^2
volume of rectangular pyramid = lwh/3
600 = 180*h/3
600*3 = 180*h
1800/180 =h
10 = h
Answer:
I think the answer to the question is 10
Volume & surface! May I please have help
Answer:
D
Step-by-step explanation:
surface area of cylinder
=(area of base)×2 + (area of curved surface)
[tex]=(\frac{20}{2} )^{2} \pi[/tex]× 2 + [tex]20\pi[/tex] × 25
=2 × [tex]\pi[/tex] × [tex]10^{2}[/tex] + 2 × [tex]\pi[/tex] × 10 × 25
Find the y-intercept of the line which passes through (-2,-2) and (2,-4). O A. (0, -3) O B. (-3,0) O C. (0, -6) O D. (-6,0) O E. (0,-5)
9514 1404 393
Answer:
A. (0, -3)
Step-by-step explanation:
Graphing the given points shows you the y-intercept is between them. The x-coordinate of the y-intercept is always 0, so the only viable answer choice is ...
(0, -3)
The number -2 is a solution to which of the following inequalities?
x + 7 > 5
-3 x < 1
x - 7 < -4
Answer:
The answer is the third one, x - 7 < 4
Step-by-step explanation:
Find the equation for the line with
the given properties
perpendiculor to the line 7x-5y=9
containing the point (-2,-1)
Answer:
y = -0.14286x + 1.2857
Step-by-step explanation:
Don't really know how to explain over a computer, but it is correct. Answer from Omnicalculator.
Hope that this helps!
9514 1404 393
Answer:
5x -7y = -3
Step-by-step explanation:
The equation of the perpendicular line can be written using the given equation as a starting point. Swap the x- and y-coefficients and negate one of them. In standard form, the x-coefficient must be positive.
Find the new constant by using the x- and y-values of the given point.
-7x -5y = 9 . . . . given equation
-5x -7y = c . . . . equation with coefficients swapped
5x -7y = c . . . . . equation with swapped coefficients, x-coefficient negated
5x -7y = c = 5(-2) -7(-1) = -10 +7 = -3
The equation of the perpendicular line is ...
5x -7y = -3
URGENT HELP NEEDED!!!!!
Find the simple interest earned at the end of 1 year. Show your calculations as best as possible (1 mark) correct answer (1mark) P = $1800 R = 5% T = 1 year
What is the total amount earned at the end of 3 years? P = $2600 R = 12% T = 3 years
1 point
$936
$3 536
$93 600
Both A and B
What principal would give an interest of $36 in 3 years at 3% p.a.? Show your calculations as best as possible (1 mark) correct answer (1mark)
In how many years will $600 double itself at 10% simple interest?
1 point
8 years and 4 months
8 years and 1/3
100 Months
All of the above
Both A and B
In what time will $400 amount to $512 if the simple interest is the calculated at 14% p.a.? Write your answer
Imagine you have a friend who doesn't quite understand what investing money into a bank means. Think of a financial situation and use the following words and numbers to help teach them. (principal $1200, interest earned, interest rate 4%, total amount, term, per anum). This is worth 8 marks.
Answer:
k
Step-by-step explanation:
The equation y 55x represents the
relationship between x, the time that a train
travels in hours, and y, the distance the train
travels in miles for Train A. The table
represents the relationship for Train B.
Determine which train is traveling at a faster
rate of speed.
1
2
4
Time (h)
Distance (mi)
45
90
135
180
Answer:
Train A is travelling faster.
Step-by-step explanation:
Train A is going 55mph, and train B is going 45mph according to the table.
- 4x < 68
A. Solve by adding 4 to each side.
B. The solution is x>-17.
a or b will mark as brainliest
(ignore the last thing)
Answer:
B.x>-17
Step-by-step explanation:
1. Divide both sides by -4:
-4x/-4<68/-4
2.< will change to > since you are dividing by negative
3.your final answer will be x>-17
how does the graph of g(x)=3(2)^x -5 compare to the graph of g(x)=2^x
Answer:
Step-by-step explanation:
The graph of g(x)=3(2)^x -5 is vertically stretched as compared with that of h(x) = 2^x. Also, the graph of g(x)=3(2)^x -5 has been translated downward by 5 units.
To obtain the graph of g(x)=3(2)^x -5, we start by graphing g(x)= 2^x, whose y-intercept is (0, 1). We then stretch this new graph vertically by a factor of 3; the y-intercept becomes (0, 3). Finally, we translate the entire new graph downward 5 units.
is the ordered pair a solution of the equation?
y= 3x + 4; (4, 16)
Answer: Yes.
Step-by-step explanation: Plug in your values. Does y=16 when x=4? 16 = 3(4) +4, which equals 16, so yes.
If 5400=54(100x+54), then x=?
Answer:
x=23/50
Step-by-step explanation:
Answer:
0.46
Step-by-step explanation:
Divide 5400 by 54 to get rid of it from the right side.
You will get 100=100x+54
Then subtract 54 from 100.
46=100x
Lastly, divide your number by 100 to get x.
tan150 cos135 cos100÷sin585 cos150 sin170
Answer:
-0.66
Step-by-step explanation:
use the calculator
Awnser this for brainliest.
Answer:
1 is the number that goes in the blank
Step-by-step explanation:
3(2x+1)
Distribute
3*2x+3*1
6x+3
Answer:
3*2x+3*1
6x+3
hope it help
Which is the solution to the inequality?
3
8
15
o b< 2 1
15
Ob>27
o b<3 77
O b>37
Answer:
D (last answer)
Step-by-step explanation:
solve and simply
The slope of the line passing through the points (6, -1) and (7, -2) is
-3
-1
1
Answer:
-1
Step-by-step explanation:
when inputting our values into the formula for slope, we get (-2 - -1)/(7 - 6). Subtracting gives us -1/1 and our final answer is -1.
p.s tysm
315,728 rouned to the nearest ten thousand
Answer:
320,000 is the answer
Step-by-step explanation:
have a good day!!
Simplify √49 + [√81 - x(9x = 14)]
[tex]\longrightarrow{\green{- 9 {x}^{2} + 14x + 16}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \sqrt{49} + [ \sqrt{81} - x \: (9x - 14) ] \\ \\ = \sqrt{7 \times 7} + [ \sqrt{9 \times 9} - 9 {x}^{2} + 14x] \\ \\ = \sqrt{( {7})^{2} } + [ \sqrt{ ({9})^{2} } - 9 {x}^{2} + 14x ] \\ \\ (∵ \sqrt{ ({x})^{2} } = x ) \\ \\ = 7 + (9 - 9 {x}^{2} + 14x) \\ \\ = 7 + 9 - 9 {x}^{2} + 14x \\ \\ = - 9 {x}^{2} + 14x + 16[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+232x+134
Answer:
Step-by-step explanation:
when it touch the ground,y=0
-16x²+232x+134=0
-16(x²-29/2 x+(-29/4)²-(-29/4)²)=-134
-16(x-29/4)²-16(-861/16)=-134
-16(x-29/4)²+861=-134
-16(x-29/4)²=-134-861
(x-29/4)²=-995/-16=995/16
x-29/4=±√995/4
rejecting negative sign
x=29/4+√995/4=(29+√995)/4≈15.14 second
Solve the formula d = rt for r.
express . 05 as a proper fraction in its lowest terms
Which are correct representations of the inequality 6x2 3 + 4(2x – 1)? Select three options.
12 2x
6x > 3 + 8x - 4
O
-1.5
-1
-0.5
0
0.5
1
1.5
-1.5
-0.5
0
0.5
1.5
-1.5
-1
-0.5
0
0.5
1
1.5
The proper way to express the above inequality is 6x4(2x-1) is x2.
What is inequality?A mathematical statement that has two mathematical expressions on each side of the inequality sign is called an inequality. The indicators for inequality are,, >, or.
6x4(2x-1) is the given inequality.
So, 6x≥8x-4
6x off of both sides gives us
6x-6x≥8x-4-6x
0≥8x-6x-4
0≥2x-4
4 added on both sides give us
0+4≥2x-4+4
4≥2x
By dividing both sides by half, we obtain
(1/2)×4≥(1/2)×2x
2≥x
x≤2
Therefore, x≤2 is the correct representation.
Learn more about inequality here:
brainly.com/question/19498063
#SPJ7
Directions: Solve for X Round your answer to the nearest tenth. Make sure you calculator
is in degree model
12
Answer:
36.87
Step-by-step explanation:
Using tan inverse of 9 over 12
Answer:
x ≈ 36.9°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{12}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 36.9° ( to the nearest tenth )
Can some one help me out with this please?
Answer:
GOD BLESS YOU
Step-by-step explanation:
How many real solutions does the quadratic equation
have?
10x^2– 5x – 7 = 0
1. 2
2. 0
3. 1
4. 3
Answer:
Option 1: 2
Step-by-step explanation:
see the plotting (made with desmos)
note that 3 is impossible, because a quadratic equation can't have 3 real zeros
2.A ball is pulled out of a bag on the first pick. Then, it
is replaced in the bag and another ball is picked out . Independent or dependent ?
Answer:
Independent
Step-by-step explanation:
Since the ball is replaces, the same number of balls and type of balls are in the bag. The draw is identical to the first draw so the draws are independent.
Please help!! I'm in summer school and I can't fail
Answer and Step-by-step explanation:
The slope would be positive 1. (Third answer choice).
This is because, using the Rise over Run method of finding slope, we go 1 unit up and 1 unit to the right, showing that it is going in the positive direction (up and right) and has a slope of 1.
#teamtrees #PAW (Plant And Water)
a=8 and b=2.25 but what is k
Answer:
a = 8, b = 2.25, k = 27Step-by-step explanation:
y = abˣPoints on the graph:
(0, 8), (1, 18), (1.5, k)Substitute coordinates into equation and solve for and and b:
8 = ab⁰ ⇒ 8 = a*1 ⇒ a = 818 = 8b ⇒ b = 18/8 ⇒ b = 2.25Find k:
k = 8*[tex]2.25^{1.5}[/tex] = 27Answer:
a=8
b=9/4
k = 27
Step-by-step explanation:
y = ab^x
We know that a is the initial value or when x = 0
We know the point (0,8) so a = 8
y = 8 b^x
Using the point (1,18) for x and y we can find b
18 = 8 * b^1
18/8 = b
9/4 = b
Now
y = 8 * ( 9/4) ^ x
Letting x = 1.5
k = 8 *(9/4)^1.5
k = 27
Derek can carry 65% of his weight in
his backpack while camping. If his
backpack weighs 88.4 pounds, how
much does Derek weigh?
Which equation can be used to solve a - 5 = 30?A. a = 30 - 5 B. a = 30 + 5 C a = 30 + 5 = 5 D a = 30.5
Which equation can be used to solve a - 5 = 30
answer= a=30+5
HOPE THIS HELPS YOU......