Answers
Answer:
1a) 1/64
1b) 1/169
1c) 1/9
Step-by-step explanation:
You have to apply Indices Law :
[tex] {a}^{ - n} = \frac{1}{ {a}^{n} } [/tex]
Question A,
[tex] {4}^{ - 3} = \frac{1}{ {4}^{3} } = \frac{1}{64} [/tex]
Question B,
[tex] {13}^{ - 2} = \frac{1}{ {13}^{2} } = \frac{1}{169} [/tex]
Question C,
[tex] {( - 3)}^{ - 2} = {( - \frac{1}{3}) }^{2} = \frac{1}{9} [/tex]
Related Questions
Q4) Using Euclid's algorithm, find the HCF of 240 and 228
Answers
[tex] \LARGE{ \underline{ \boxed{ \purple{ \rm{Solution : )}}}}}[/tex]
Euclid's division lemma : Let a and b are two positive integers. There exist unique integers q and r such that
a = bq + r, 0 [tex]\leqslant[/tex] r < b
Or We can write it as,
Dividend = Divisor × Quotient + Remainder
Work out:
Given integers are 240 and 228. Clearly 240 > 228. Applying Euclid's division lemma to 240 and 228,
⇛ 240 = 228 × 1 + 12
Since, the remainder 12 ≠ 0. So, we apply the division dilemma to the division 228 and remainder 12,
⇛ 228 = 12 × 19 + 0
The remainder at this stage is 0. So, the divider at this stage or the remainder at the previous age i.e 12
[tex] \large{ \therefore{ \boxed{ \sf{HCF \: of \: 240 \: \& \: 228 = 12}}}}[/tex]
━━━━━━━━━━━━━━━━━━━━
Please answer ASAP!
Type your response in the box. Jack and Mia are playing a game with pick-up sticks. Mia places a pile of 100 pick-up sticks on the table. Forty of the sticks are black, and the rest are brown. She randomly splits all the sticks into two piles—one on Jack’s left and one on his right. Mia tells Jack that there are 44 brown pick-up sticks in the pile on his right. Jack looks at the pile of pick-up sticks on his left and estimates that it contains 44 sticks in all. Now Mia blind folds Jack and asks him to choose a stick at random. Jack knows that if he selects a black pick-up stick, Mia will treat him to dinner at his favorite restaurant. If he picks a brown one, then he will treat Mia to dinner at her favorite restaurant. Mia gives Jack three options for selecting:
Choose randomly from the pile on the left.
Choose randomly from the pile on the right.
Push the piles back together and choose randomly from the entire pile.
Which option should Jack choose so that Mia treats him to dinner at his favorite restaurant? Explain your answer.
Answers
Answer: Choose randomly from the pile on the left.
Step-by-step explanation: The ratio of brown to black sticks on the left pile is 16:28 and on the right pile is 44:12. Therefore, jack should choose from the left side because there is a higher chance in picking a black stick.
The graph of y=x^2 - 2x- 3 is shown above. What are the zeros and factors of y=x^2 - 2x -3
A. X=1 and x = -3;(x-1)(x+3)
B. X=-1 and x = -3;(x+1)(x+3)
C. X=1 and x = -3;(x-1)(x-3)
D. X=-1 and x = -3;(x+1)(x-3)
Answers
Answer:
zeros -1,3 and the factors ( x+1) (x-3)
Step-by-step explanation:
The zeros are where it crosses the x axis
It crosses at x=-1 and x=3
So the factors are ( x- -1) and ( x-3)
( x+1) (x-3)
Answer:
[tex]\boxed{x = -1, \ x = 3 \ \ ( x+1) (x-3)}[/tex]
Step-by-step explanation:
Zeros of the function:
The zeros of a function is when the y value is 0 or where the function crosses the x-axis.
The function crosses the x-axis at x = -1 and x = 3.
Factors of the function:
[tex]y=x^2 - 2x- 3[/tex]
Factor the right side.
[tex]y=x^2 +1x-3x- 3[/tex]
[tex]y=x(x +1) -3(x+1)[/tex]
Take (x + 1) common.
[tex]y=(x+1)(x-3)[/tex]
The factors are (x + 1) and (x - 3).
6) By which least number should each of the following numbers be divided to make them perfect squares? b) 45125
Answers
45125|5
9025|5
1805|5
361|19
19|19
1
[tex]45125=5^3\cdot 19^2=5^2\cdot 5\cdot19^2[/tex]
It's 5
Vertical plane R intersects horizontal plane P. Points A, D, and B are on the line of the intersecting planes. Point F is on the top half of plane R. Point G is on the bottom half of plane G. Point C is on the left half of plane P. Point E is on the right half of plane P. Point H is above and to the right of the planes. Point J is below and to the left of the planes. Which statements are true based on the diagram? Check all that apply.
Answers
Answer:
1,2,4,5
Step-by-step explanation:
Answer:
line DB, H, and D
Step-by-step explanation:
Show that the 9x^2-24xy+16y^2-12x+16y-12=0 represents a pair of parallel lines .Find the distance between the lines.
Answers
First of all u will 9x^2-24xy+16y^2-12×16y-12=0 u will add the 9x^ then u will subtract 2-24
Given that (8,7) is on the graph of f(x), find the corresponding point for the function f(x)+4
Answers
Answer:
( 8,11)
Step-by-step explanation:
When x = 8 the output is 7
The new function
f(x) +4
when x = 8
The output is f(8) +4= 7+4 = 11
( 8,11)
Answer:
[tex]\boxed{(8,11)}[/tex]
Step-by-step explanation:
Given the point (8,7)
This means when x = 8, the output is 7 . So, f(8) = 7
So, the new function will be:
=> f(8) + 4
=> 7 + 4
=> 11
So, the corresponding point for the function f(x)+4 is ( 8, 11 )
ANSWER QUICKLY PLZZZZZZ
ANSWER QUESTION B
Answers
Answer:
16
Step-by-step explanation:
We know that: 5 + ? = 10.5
we now need to solve for ? , by using the inverse method
10.5 x 2 = 21
21 - 5 = 16
Now to double check the answer, we substitute the ? with the answer
so, 5 + 16 = 21
21/2 = 10.5 so it is clearly correct
I HOPE THIS HELPED :)
Which is 5.348 closer to, 5.3 or 5.4?
Answers
Answer:
5.3
Step-by-step explanation:
It is less than halfway
Answer:
5.3
Step-by-step explanation:
Please give me the correct answer
Answers
Answer:
Height = 15Step-by-step explanation:
[tex]Volume = 392.5\\r = 5\\h =?\\\\V= \frac{1}{3} \pi r^2 h\\\\392.5 = \frac{1}{3} \times 3.14 \times 5^2 \times h\\\\392.5 = \frac{78.5h}{3} \\\\392.5 = 26.16h\\\\\frac{392.5}{26.16} =\frac{26.16h}{26.16} \\\\h = 15.00[/tex]
Answer:
h=15 in
Step-by-step explanation:
V=πr²(h/3)
h=3v/πr²
h=[3(392.5)]/[3.14(5)²]
h= 15 in
Which of the two functions below has the largest maximum y-value?
f(x) = -x4- 2
g(x) = -3x3 + 2
Answers
Answer:
g(x)=-3x^{3}+2
Step-by-step explanation:
g(x) has a range that of (-infinity, +infinity), whereas f(x) has a range of (-infinity, -2].
Answer:
Step-by-step explanation:
● f(x) = -x^4 -2
● g(x) = -3x^3 + 2
Derivate both functions:
● f'(x) = -4x^3
● g'(x) = -9x^2
Solve the equations f'(x) =0 and g'(x) =0
● f'(x) = 0
● -4x^3 = 0
● x^3 = 0
● x =0
● g'(x) = 0
● -9x^2 = 0
● x^2 =0
● x = 0
So both functions f and g reach their maximum at 0.
● f(0) = 0^4-2 = -2
● g(0) = -3×0^3 +2 = 2
So g(0)>f(0)
So g has the largest maximum value.
Simplify square roots
Simplify.
Remove all perfect squares from inside the square root.
12
Answers
Answer:
[tex]2\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{12}[/tex]
[tex]\sqrt{(4)(3)}[/tex]
square root of 4 is 2
[tex]2\sqrt{3}[/tex]
the 3 stays inside
Classify the triangle.
Answers
B) isosceles
Step-by-step explanation:If the median to the base is perpendicular to the base =>
= > isosceles triangle
A sample proportion of 0.44 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 100 and a point estimate of 0.44. The minimum sample proportion from the simulation is 0.32, and the maximum sample proportion from the simulation is 0.50. What is the margin of error of the population proportion using an estimate of the standard deviation?
Answers
Answer:
±0.06
Step-by-step explanation:
To find the margin of error using the standard deviation method, use the equation [tex]2(\frac{maximum-minimum}{6})[/tex].
In this situation, it would look like this: [tex]2(\frac{0.50-0.32}{6})[/tex]. Using this equation, you can find the margin of error by using the standard deviation method.
[tex]2(\frac{0.50-0.32}{6})[/tex]
[tex]2(\frac{0.18}{6})[/tex]
[tex]2(0.03)[/tex]
[tex]0.06[/tex]
Hope this helps!
(I know this is right because its what I answered on the test, and got 100%)
The margin of error of the population proportion using an estimate of the standard deviation is 0.06
we have given that,
A sample proportion of 0.44 is found.
The minimum sample proportion from the simulation is 0.32
The maximum sample proportion from the simulation is 0.50
What is the formula for the margin of error using the standard deviation method?The formula for the margin of error using standard deviation is,
[tex]2(\frac{max-min}{6} )[/tex]
Use the given value in the formula we get,
[tex]2(\frac{0.50-0.32}{6} )[/tex]
Using this equation, you can find the margin of error by using the standard deviation method.
[tex]2(\frac{0.50-0.32}{6} )\\\\=2(\frac{0.18}{6})\\\\ =2(0.03)\\\\=0.06[/tex]
Therefore we get,
The margin of error of the population proportion using an estimate of the standard deviation is 0.06
To learn more about the population proportion using an estimate of the standard deviation visit:
https://brainly.com/question/22985943
which stystem of inequalities is graphed below
Answers
Step-by-step explanation:
It's answer D.
THe original plot of x^2 has it top point in the (0,0) so in the centre of the system.
There is a coloured surface just inside the first plot x^2 -4 and also just inside the second one x^2 +6
PLEASEEEEEEE HELP with this question
Answers
Answer:
second table
Step-by-step explanation:
Out of the 8 options on the spinner, 2 of them are 0's, 1 of them is a 1, 2 of them are 2's and 3 of them are 3's so the probability of spinning a 0, 1, 2 or 3 is 2/8, 1/8, 2/8 or 3/8 which becomes 0.25, 0.125, 0.25 or 0.375 respectively. Therefore, the answer is the second table.
Simplify 18-2[x + (x - 5)].
O8-4x
28 - 4x
28 - 2x
Answers
Answer:
28-4x
Step-by-step explanation:
Step 1: Open most inner bracket and simplify
=18-2(x+x-5)
=18-2(2x-5)
Step 2: Expand brackets by multiplying 2 in and simplify
=18-2(2x)-2(-5)
=18-4x+10
=28-4x
Therefore the answer is 28-4x
how 45 degree angles does it take to make a full turn?
PLSSSSSSSSSSSSSSS HELP
Answers
Answer:
8 turns
Step-by-step explanation:
If we want to take a full turn, we'd turn around 360° since we'd be in the same position.
If we turn in intervals of 45°, we need to find how many times 45 goes into 360. To do this, we can divide.
[tex]360\div45=8[/tex]
Hope this helped!
Answer:
It will take 8 45 degree angles to make a full turn
Step-by-step explanation:
360 degrees is a full turn
360/45 =8
It will take 8 45 degree angles to make a full turn
I NEED HELP PLEASE I GIVE 5 STARS !
Answers
Answer:
C. 2[tex]\sqrt{29}[/tex]
Step-by-step explanation:
Square root of 116 is 10.7703296
Square root of 29 is 5.38516481, but as it is multiplied by 2, it becomes 10.7703296
A circle has center D and passes through the points F and G. Which of the following is the name of this circle?
Answers
Answer:
Circle D
Step-by-step explanation:
The answer is Circle D
What is the smallest positive integer $n$ such that $\frac{n}{n+101}$ is equal to a terminating decimal?
Answers
Answer:
n = 24
Step-by-step explanation:
Given the fraction:
[tex]$\frac{n}{n+101}$[/tex]
To find:
Smallest positive integer [tex]$n$[/tex] such that the fraction is equal to a terminating decimal.
Solution:
The rule that a fraction is equal to a terminating decimal states that, the denominator must contain factors of only 2 and 5.
i.e. Denominator must look like [tex]2^m\times 5^n[/tex], only then the fraction will be equal to a terminating decimal.
Now, let us have a look at the denominator, [tex]n+101[/tex]
Let us use hit and trial method to find the value of [tex]n[/tex] as positive integer.
n = 1, denominator becomes 102 = [tex]2 \times 3 \times 17[/tex] not of the form [tex]2^m\times 5^n[/tex].
n = 4, denominator becomes 105 = [tex]5 \times 3 \times 7[/tex] not of the form [tex]2^m\times 5^n[/tex].
n = 9, denominator becomes 110 = [tex]2 \times 5 \times 11[/tex] not of the form [tex]2^m\times 5^n[/tex].
n = 14, denominator becomes 115 = [tex]5 \times 23[/tex] not of the form [tex]2^m\times 5^n[/tex].
n = 19, denominator becomes 120 = [tex]5 \times 3 \times 2^3[/tex] not of the form [tex]2^m\times 5^n[/tex].
n = 24, denominator becomes 125 = [tex]2^0 \times 5 ^3[/tex] It is of the form [tex]2^m\times 5^n[/tex].
So, the answer is n = 24
Write a division sentence that describe how many dispensers can be filled if the cafeteria uses 1/6 of coffee to fill a large coffee dispenser if the cafeteria has 2/3 pounds of coffee to use
Answers
Answer:
2/3 ÷ 1/6
I hope this helps.
Please help me! I am trying to complete this question!
Answers
Answer:
131.25 in ^2
Step-by-step explanation:
Find the area of the rectangle on the left
A = l*w
A = 11.75 * 6 = 70.5 in ^2
Now find the area of the rectangle on the right
The length is 9 and the height is 11.75 - 5 = 6.75
A = 9 * 6.75
A = 60.75 in ^2
Add the areas together
70.5+60.75 = 131.25 in ^2
Answer:131.25
Step-by-step explanation:
11 3/4 x 6 = 70.5 (area of first rectangle)
11 3/4 - 5 = 6.75 (to find the height of the other figure)
6.75 x 9 = 60.75 (area of 2 figure)
60.75 + 70.5 = 131.25
The reciprocal of 1 is *
Answers
Answer:
[tex]\boxed{1}[/tex]
Step-by-step explanation:
When finding the reciprocal of a value, it flips the denominator with the numerator and vice versa.
The number 1 can be represented as the fraction 1/1 and 1 divided by 1 is still equivalent to 1.
Therefore, the reciprocal of 1 will always be 1.
Is the product of two irrational numbers always an irrational number?
Answers
Answer:
Step-by-step explanation:
Not always.
√3 * √27 = √81 = 9
If ABCD is a parallelogram find the value of unknow size
Answers
Step-by-step explanation:
Hey, there!!
As it is a parallelogram, remember basic properties of parallelogram,
Their opposite sides are parallel and equal to eachother. Their opposite angles are equal.They have properties of parallel lines too.Now, lets solve your question.
b = (7×10)°
Therefore, b= 70°.
now, (3x+10°)+b=180° { co- interior angle of a triangle sum is 180°}.
or, 3x= 180°-80°
or, x= 100°/3
Therefore, x= 33° { rounding off we get 33}.
w+ b =180°
w+70°=180° { coointerior angles are equal}.
Therefore, w =110°
Hope it helps....
The generic version was basedOn the brand name and was 2/3 the size of the brand name. If the generic television set is 12 inches by 24 inches what are the dimensions of the brand name television
Answers
Answer:
18 inches by 36 inches.
Step-by-step explanation:
Since we have given that
The generic version was basedOn the brand name and was 2/3
And given Dimensions of generic version is given by 12inches ×24inches
If we use the first dimensions of 12inches we have
12=2/3 × brand
12×3/2 = brand
=18inches= brand
we use the first dimensions of 24 inches we have
24=2/3 × brand
24×3/2 = brand
=36 inches= brand
brand= 36 inches
Therefore,the dimensions of brand name will be 18 inches by 36 inches.
Look at this graph:
10
9
8
7
6
5
4
3
2
X
0
1
2
3
4
5
6
8
9
10
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit
e to search
o
La
Answers
Answer:
3/5
Step-by-step explanation:
The rise is 3 while the run is 5, so the slope = rise over run = 3/5.
Answer:
5/6
Step-by-step explanation:
slope = change in y over change in x
Can y’all please help me I need this done before 4:00 if y’all help me I’ll give y’all sum
Answers
Answer/Step-by-step explanation:
1. The linear equation, [tex] y = mx + b [/tex] represents that of a straight line, where,
(x, y) is the coordinate pair of any point on the line,
m = slope, and
b = the y-intercept
2. Area of rectangle and parallelogram can be found using [tex] A = bh [/tex]
3. r stands for radius in the equation for circumference of a circle. It is half of the diameter of a circle.
4. Total surface area of a prism can be calculated using, [tex] Ph + 2B [/tex], where,
P = perimeter of the base of the prism
h = height of prism
B = base area of the prism
5. Formula for the Pythagorean theorem is given as [tex] a^2 + b^2 = c^2 [/tex], where,
a, b, and c are sides of a right triangle, however, c is the hypotenuse or the longest side.
6. Types of interest we solve for are simple and compound interest
7. h, in the area of a triangle (½*b*h) stands for height of the triangle.
8. The two formula for solving for circumference of a circle are C = 2πr or C = πd (note: radius is half of the diameter of a circle)
9. Formula for finding slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Where, [tex] (x_1, y_1), (x_2, y_2) [/tex] could be any two coordinate pairs on the line.
10. Surface area of a cylinder is given as 2πrh, where,
r = radius
h = height of cylinder
11. d represents diameter of circle in C = πd
12. The word, "linear", means a straight line, or along a straight line.
Each day the chill canteen meal can be 1 of three things. The probability that it is pizza is 0.3. The probability that it is curry is 0.42. What is the probability that it is pasta
Answers
Its [tex]1-0.3-0.42=0.28[/tex].
Hope this helps.
1 - 0.3 - 0.42= 0.28
hope you understand.
