Answer:
3
Step-by-step explanation:
h^-2 g
h= 3 and g = 27
(3) ^-2 (27)
1/3^2 (27)
1/9 *27
27/9
3
Definition of a power with a natural exponent:
[tex]a^2=a\cdot a\\\\a^3=a\cdot a\cdot a\\\\a^4=a\cdot a\cdot a\cdot a\\\vdots\\a^n=\underbrace{a\cdot a\cdot a\cdot...\cdot a}_{n}[/tex]
also
[tex]a^1=a\\\\a^0=1[/tex]
Definition of a power with an integer negative exponent:
[tex]a^{-1}=\dfrac{1}{a}\\\\a^{-2}=\dfrac{1}{a^2}\\\\a^{-3}=\dfrac{1}{a^3}\\\vdots\\a^{-n}=\dfrac{1}{a^n}\\\\n\in\mathbb{N}[/tex]
[tex]h^{-2}g\\\\h=3,\ g=27[/tex]
METHOD 1:[tex]3^{-2}\cdot27=\dfrac{1}{3^2}\cdot27=\dfrac{27}{9}=3[/tex]
METHOD 2:[tex]3^{-2}\cdot27=3^{-2}\cdot3^3[/tex]
use [tex]a^n\cdot a^m=a^{n+m}[/tex]
[tex]=3^{-2+3}=3^1=3[/tex]
Answer: 3Drag each number to show whether it is equal to 2/10, 2/100, or neither.
Answer:
20/10 goes to neither since it equals 2
0.02 goes to 2/100 since it is the same as 0.02
200 goes to neither because it is over 2/10 and 2/100
0.20 goes to 2/10 since 2/10 is equal to 0.20
2.0 goes to neither because it equals 2
Hope this helped
Step-by-step explanation:
Help needed on this question too!!!!
Answer:
1) OTT
2) PGF
3) RBT
4) YGT
5) 24 different ways.. I just counted the total number of combinations.
6) 1/24 since there are 24 different outcomes and PBF is just one.
Suppose that many large samples were taken from a population and the sample proportion centered around 0.25 which of the following is most likely the population parameter
0.25
0.45
0.35
0.15
Answer:
0.25
Step-by-step explanation:
Hope it helps, sense it’s centered around 0.25 then the parameter would be 0.25
To It’s centered around 0.25 then the parameter would be 0.25.
We have given,
Suppose that many large samples were taken from a population and the sample proportion centered around 0.25
We have to determine which of the given is most likely the population parameter.
What is the center parameter in the large sample?
A sample means from any distribution. We could have a left-skewed or a right-skewed distribution.
To It’s centered around 0.25 then the parameter would be 0.25
Therefore option A(0.25) is correct
To It’s centered around 0.25 then the parameter would be 0.25.
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The following are all 6 quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale. 8,6,9,9, 8, 8 Assuming that these scores constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.
Answer:
mean=6+8+8+9+9+10divided 6 =
Answer:
1.
Step-by-step explanation:
The mean score is (8+6+9+9+8+8)/ 6
= 48/8
= 8.
Deviations from the mean are 0 , -2, 1, 1, 0, 0
Squares of these deviations are 0, 4, 1, 1, 0, 0
So the variance = (0 + 4 + 1 + 1 + 0 + 0)/ 6 = 1
Standard deviation = √1 = 1.
If the sale price is is $75 and the discount is 20% off, what is the original price?
let the original price be x.
x-20% of x= 75
= x- 0.20x= 75
= 0.8x= 75
= x= 75/0.8
=x= 93.75
Answer: the original price is $93.75
pls mark me brainliesttt :))
Exit
A park ranger wants to estimate the number of fish in a lake.
She catches 400 fish.
She marks them with ink and puts them back in the lake.
The next day she catches 60 fish.
There are 3 marked with ink.
Work out how many fish the ranger would expect to have in the whole lake.
(3 marks)
458 fishes
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⅓(5x-4) >x+11/12. Topic(Linear Inequalities
Answer:
1/3(5x_4)>x+11/12
multiply through by 12
4(5x_4)>12x+11
20x_16>12x+11
20x-12x>11+16
8x>27
x>27/8
Plz help, and show details, will give brainliest to best answer
Need help ASAP please
Answer:
x=5.75 ; price of a single popcorn
y=2.25 ; price of a drink
system of equations
2*x+3*y= 18.25
4*x+2*y=27.50
Step-by-step explanation:
x= price of popcorn
y= price of drink
2*x+3*y= 18.25 ; this is information for Mohamed
4*x+2*y=27.50 ; this is informtion for miguel
solve an equation for y
2y=27.50-4x
y=13.75-2x
substitue into other equation
2*x+3(13.75-2x)=18.25
2*x+41.25-6x=18.25
-4x+41.25=18.25
-4x=-23
x=5.75 ; price of a single popcorn
swap x=5.75 into the other equation
4*5.75+2*y=27.50
2y=4.5
y=2.25 ; price of a drink
put back in to check work
2*5.75+3*2.25
11.5+6.75=18.25
5.(x-3)= please help
Step-by-step explanation:
5(x-3) = 0
5x-15=0
5x=15
x=15/5
x=3
i think you added the dot after 5 by mistake so yes this is how i could solve
URGENT a right triangle is shown enter the value of x
Answer:
Hello! answer: 10
Step-by-step explanation:
8 × 8 = 64
6 × 6 = 36
64 + 36 = 100
√100 = 10
10 × 10 = 100 therefore x = 10 hope that helps!
Point k is on line segment JL. Given JL = 4x+2, KL = 5x-6, and JK = 3x, determine the numerical length of JK.
Answer:
6 units
Step-by-step explanation:
JK + KL = JL
3x + 5x-6 = 4x+2
8x-6 = 4x+2
subtract 4x from each side to get:
4x - 6 = 2
add 6 to each side to get:
4x = 8
x = 2
JK = 3x and x=2 so JK = (3)(2) or 6
The numerical length of JK = 6
What is Line Segment?
" A line segment is a line section that can link two points. "
We know that point K is divide line JL
Given that JL = 4x+2
KL = 5x-6
JK = 3x
So, Equation is JK+KL = JL
3x+5x-6 = 4x+2
8x-6 = 4x+2
8x-4x = 2+6
4x = 8
x = 8/4
x = 2
So , numerical length of JK = 3x
JK = 3×2
JK = 6
Hence , length of JK is 6
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Two sides of a triangle have lengths 4 and 8. Which of the following can NOT be the length of the third side? A. 5 B. 6 C. 4 D. 7
Answer:
Step-by-step explanation:
4
If you put 4 with another 4 the total is 8. The two lines must be greater than the third. Equal is not good enough.
The other lengths will produce triangles with 4 and 8. Any 2 will be greater than the third.
−n+(−4)−(−4n)+6 find equivalent expressions PLZ
Answer:
3n+2
Step-by-step explanation:
−n+(−4)−(−4n)+6
Combine like terms
−n−(−4n)+6+(−4)
A negative negative is like adding
−n+(4n)+6+(-4)
3n+2
Math help please due soon thanks
Answer with step-by-step explanation:
I'll use the list of referents you had on your other question and I believe this is a reference to that list.
Part A:
Use the reference of an adult stride (about 1 yard) to estimate the dimensions and length of the lawn edging. The dimensions can be used to find the area, in square yards, that is required to fill both sides of the flower beds.
Part B:
Similarly, you can use an adult stride of about 1 yard as a reference to measure to dimensions of the paved area and the dimensions of the brick. Using these dimensions, you can find area of the paved walkway and the area (surface area of top only) in square yards. Use these areas to find the approximate number of bricks needed to fill the walkway.
A painting without its frame has a width 2.5 times its height, h, in inches. Its frame is 3 in. wide all along its perimeter. What is an expression for the area of the framed painting in terms of h? A. 2.5h2 B. 2.5h2 + 6 C. 2.5h2 + 36 D. 2.5h2 + 21h + 36
Answer:
2.5h^2 + 21h + 36
Step-by-step explanation:
Height = h
width = 2.5h
border = 3 in.
Overall height = h+6
Overall width = 2.5h+6
Overall area
= (h+6)(2.5h+6)
= 2.5h^2 + 15h + 6h +36
= 2.5h^2 + 21h + 36
Can yall help me, its really important
Answer:
It's B
Step-by-step explanation:
Answer:
send wellthat questions again
Find AB
I need help !
9514 1404 393
Answer:
d. AB = 54
Step-by-step explanation:
The triangle is isosceles, so AB = AC.
(4x +6) = (5x -6)
12 = x . . . . . . . . . . . . add 6-4x to both sides
Then the length of AB is ...
AB = 4x +6 = 4(12) +6 = 48 +6
AB = 54
In parallelogram ROCK shown below, m angle ROS=65^ and m angle OCK=70^ . What is the measure of angle R ? Explain why
Answer:
angke R is 70
Step-by-step explanation:
opposite angle of a parallelogram are equal.
I.e. angle C = angle R = 70
Answer:
70
Step-by-step explanation:
In a parallelogram, (I) opposite angles are congruent.
(II) Adjacent angles are supplementary.
(III) Opposite sides are equal and parallel.
(Iv) Diagonals bisect each other
Angle R and angle C are opposite angles as they don't share any arm's(sides).
∠R = ∠C = 70
How many solutions does this equation have one, none, or infinite 12+2i-i=9i+6
Answer:
i=3/4
Step-by-step explanation:
Assuming that we are treating "i" as a variable and not the constant "i":
12+2i-i=9i+6
12+i=9i+6
12=8i+6
6=8i
8i=6
i=6/8
i=3/4
Therefore, the equation has only one real solution which is i=3/4
What is the value of x?
Answer:
x=4
Step-by-step explanation:
from first trangle we found LJsin(30)×8×√2 = length of LJ
And then find x from[tex] \sin(45) = \frac{x}{4×√2} [/tex]
x = 4In 2017, Sage went to dance class four hours a week. In 2018, the amount of time she goes to dance class has increased by 40%. How many hours does Sage go to dance class now? Your answer will be a decimal.
Answer:
1.6 hours
Step-by-step explanation:
40% of 4
turn 40% to a decimal by moving the percent to the left twice (0.40)
multiply 0.40 by 4
you get 1.6
1.6 is your answer
hope i helped, tell me if you get it right! :)
what is the value of 1 in 915,342,760
the 1 is in the 10 million place
Someone please help :')
Answer:
C. [tex]y+4=-3(x-3)[/tex]
Step-by-step explanation:
The point-slope format is a way to represent the equation of a line. It involves using a point on the line and relating it to the slope in such a way that one can find any point on the line using the equation. One is asked to find the equation of a line in point-slope form. The general format for the point-slope form of a line is the following;
[tex]y-h=m(x-k)[/tex]
Where the point on the line that is being used is ([tex]h,k[/tex]). The parameter ([tex]m[/tex]) represents the slope or rate of change in the line. The slope is often referred to as the ([tex]\frac{rise}{run}[/tex]) and can be found using the following formula.
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are points on the line. As one can see the following points can be found on the line:
[tex](3,-4), (0, 5)[/tex]
Substitute these points into the slope formula and solve for the slope;
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{(5)-(-4)}{(0)-(3)}[/tex]
= [tex]\frac{5+4}{0-3}\\[/tex]
= [tex]\frac{9}{-3}[/tex]
= [tex]-3[/tex]
Now substitute the slope into the given formula. As per the problem, one is supposed to use the point ([tex]3, -4[/tex]) in the formula.
[tex]y-h=m(x-k)[/tex]
Substitute the slope;
[tex]y-h=-3(x-k)[/tex]
Substitute the point;
[tex]y+4=-3(x-3)[/tex]
-) Solve
2x - 1>9
Answer:
Answer:
Step-by-step explanation:
2x-1>9
2x-1>9=0
2x-1=0-9
2x-1=-9
2x=-9+1
x=-8/2
x=-4
What is the image of (4, -12) after a dilation by a scale factor of 1/4 centered at the origin?
The answer is (-1,-3)
All you have to do is divide your point by 4, since it is a fraction. if its not then multiply.
88 Square centimeter in Square millimetres?
Answer:
8800 (Square Millimeters)
Find the solution(s) of the system of equations.
y = –x2 + 2
y = x2 + 4x + 4
40 is what percent of 32?
Answer:
125%
Step-by-step explanation:
Is means equals and of means multiply
40 = P * 32 where P is in decimal form
Divide each side by 32
40/32 = P
1.25 = P
Now change to percent form ( multiply by 100)
125%
Two numbers multiply to be 4 and add to be -5
Answer:
-1, -4
Step-by-step explanation:
x + y = -5
x×y = 4
=>
x = -5 - y
=> (-5 - y) × y = 4
-5y - y² = 4
y² + 5y + 4 = 0
the solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = 5
c = 4
x = (-5 ± sqrt(25 - 16))/2 = (-5 ± 3)/2
=> x = -2/2 = -1 or x = -8/2 = -4
=> y = 4/-1 = -4 or y = 4/-4 = -1
since the sequence in an addition and multiplication does not make any difference, the two numbers are simply -1 and -4