Answer:
[tex]9^{-7}, 9^{-2}[/tex]
Step-by-step explanation:
[tex]\frac{9^5\times9^{-9}}{9^3}\\\frac{9^{-4}}{9^3}\\ 9^{-7}[/tex]
When you multiply like terms, you add their powers. When dividing like terms, you subtract their powers (subtract the power in the denominator from the one in the numerator).
[tex](9^4)^3\times9^{-14}\\9^{12}\times9^{-14}\\9^{-2}[/tex]
solve this quadratic equation by completing the square. x^2+4x=15
ANSWER QUICKLY PLS, FIRST GOOD ANSWER GETS BRAINLIEST
(if your answer is incorrect im gonna delete it)
thx
Answer:
x = -2 ±sqrt( 19)
Step-by-step explanation:
x^2 + 4x = 15
Take the coefficient of x
4
Divide by 2
4/2 =2
Square it
2^2 = 4
Add it to each side
x^2 + 4x+4 = 15+4
(x+2)^2 = 19
Take the square root of each side
sqrt( (x+2)^2) =±sqrt( 19)
x+2 = ±sqrt( 19)
Subtract 2 from each side
x+2-2 = -2 ±sqrt( 19)
x = -2 ±sqrt( 19)
Expand and simplify (2x+2)(2x+1)
Answer: 4x+3
Step-by-step explanation: 2x+2x=4x
2x1=3
The simplified form of the equation is 4x² + 6x + 2.
What is simplification?Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.
Given the equation (2x + 2)(2x + 1)
using property, (a + b)(c + d) = a(c + d) + b(c + d)
(2x + 2)(2x + 1) = 2x(2x +1) + 2(2x + 1)
2x + 2)(2x + 1) = 2x(2x) + 2x(1) + 2(2x) + 2*1
2x + 2)(2x + 1) = 4x² + 2x + 4x + 2
2x + 2)(2x + 1) = 4x² + 6x + 2
Hence the Expand form of the equation is 4x² + 6x + 2.
Learn more about simplification;
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if I'm 2 lessons into a class and my progress bar says that I am 1/3 of the way complete. How many lessons are in the class?
Answer:
Well you have 6 lessons in total.
Step-by-step explanation:
if you finished 2 lessons you are 1/3
It is basically the same as 2/6 lessons
so
2/6 = 1/3
You have 6 lessons
Answer:
6
Step-by-step explanation:
Mia throws two fair dice together. What is the probability of scoring exactly one 6? The table below shows the 36 mutually exclusive outcomes when two fair dice are thrown.
i'll give brainliest if you answer correctly ;))
1.5/18
2.5/36
3.11/36
Answer:
5/18
Step-by-step explanation:
If we count all of the outcomes in the table with exactly one 6 in it, we will see that there are 10 outcomes that do so, and this is out of 36, so the probability will be 10/36 or 5/18.
The mode of the data : 1, 1, 2, 2, 6, 7, 3 and 2 is
Answer:
2
Step-by-step explanation:
The mode is the value that appears the most times in the data. In other words, it has the largest frequency.in some questions this is denoted as MO
Here, each number appears,
1 appears 2 times
2 appears 3 times
3 appears once
6 appears once
7 appears once
So, it is clear that 2 appears the most number of times.
Hope this Helps
Answer:
2Mode:
Mode is a number which occur or appears most often or frequently in set of numbers.It is that value which has the highest frequently .It is denoted by M0.
Given data: 1,1,2,2,6,7,3,2
Here,
2 is repeated 3 times,
The frequency of 2 is more in comparison to others.
So ,mode=2
Hope this helps..
Good luck on your assignment..
I need help with this math problem, 25 points, and I'll mark brainliest.
Answer:
A = 5/6
Step-by-step explanation:
The line is given by
Ax - 4y = 1
We have a point on the line
(6,1)
Replace x with 6 and y with 1
A(6) - 4(1) = 1
6A -4 = 1
Add 4 to each side
6A -4+4 = 1+4
6A = 5
Divide each side by 6
6A /6 = 5/6
A = 5/6
What is the surface area of a sphere with a radius of 9 units?
A. 57677 units2
B. 6487 units2
O C. 28871 units2
D. 32477 units2
The surface area of a sphere can be determined from the radius by the equation of 4πr². Hence, the surface area of the sphere of 9 units is approximately 1017.36 square meters.
What is surface area of a sphere ?Surface area is the total area that covers the surface of a 3-dimensional object. It is a measure of how much area needs to be covered to completely wrap around the exterior of the object.
In other words, it is the sum of the areas of all the faces or surfaces that make up the object. The unit of measurement for surface area is typically square units, such as square centimeters, square meters, or square feet.
The formula for the surface area of a sphere is:
A = 4πr^2
Where A is the surface area and r is the radius of the sphere.
Substituting r = 9 units, we get:
A = 4π9²
A = 4π(81)
A = 324π
Therefore, the surface area of a sphere with a radius of 9 units is approximately 324π square units, or approximately 1017.36 square units if you round to two decimal places.
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Find the greatest common factor of 18 and 35.
18
7
1
3
Answer:
=1
Step-by-step explanation:
find GCD, nothing can divide the two no.
1 is the ans.
Which diagram has all the correct lines of reflectional symmetry for the rectangle?
Answer:
The Second Option
Step-by-step explanation:
The lines should be across the rectsngle verticslly don the middle and horisonitally through the mifddle. This allows you to fold the shape across the line, through the middle and be exactly a half of the shape.
Answer:
b on 3dge
Step-by-step explanation:
please help i need this asap
Answer:
They are the same
Step-by-step explanation:
Both have a 2 1/2 height so we wont consider that in our answer. What we have left is the width and length.
Box A = 2 × 1/2 = 1
Box B = 1 × 1 = 1
Marissa is choosing a four-digit PIN for her ATM card. The first digit must be a digit from 1 through 9. For the other three digits, she can choose any combination of digits 0 through 9, but may not repeat a digit. Which shows part of the sample space for Marissa’s PIN? 0123, 0456, 0789 1012, 1033, 1004 2345, 2034, 2134 3200, 4200, 5200
Answer:
2345,2034,2134
Step-by-step explanation:
2 is between 1-9 and 345 does not include a repeated number, the same gods for the rest
Answer:
The answer is 2345, 2034, 2134
Step-by-step explanation:
I did the quiz on edge and got it correct!
Hope this helps
pla may i have help i have done a but i carnt do b
Answer:
a) 125 ml of milk
b) 7.5 g of butter
Step-by-step explanation:
Answer: A. Simon needs 125 ml of milk to make 4 pancake. B. He needs 7 and a half grams of butter to make 12 pancakes
Step-by-step explanation:
A) If we know that 250 ml milk can help make 8 pancakes then we could set up a proportion as to how many milk we need to make 4 pancakes.
[tex]\frac{250}{8} = \frac{x}{4}[/tex] Solve by cross product,
8x = 1000
x = 125
B) The same with this we could also set up a proportion. We know you need 5 grams of butter when making 8 pancakes.
[tex]\frac{5}{8} = \frac{x}{12}[/tex] solve by cross product
60 = 8x
x = 7.5
Please help me with this ASAP!!! 25 points.
Answer:
the answer would be (-4,1)
Answer:
(-4,1)
Step-by-step explanation:
-5+1=-4
4-3=1
Thus the answer is -4,1
Solve each equation. 1. 5/2 × X=1 2. X × 7/3=1 3. 1 ÷ 11/2=X
Answer:
1: x = 2/5
2: x = 3/7
3: x = 1/22
1. A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.
Answer:
20
Step-by-step explanation:
Let x represent our numbewr
x + 12 = 160/x
x^2 + 12x -160 = 0
(x-20(x+8) = 0
x = -8,20
20 is the only natural number solution.
Michael is using a number line to evaluate the expression –8 – 3.
Answer:
-11
Step-by-step explanation:
-8 - 3 = -11
Please answer correctly !!!! Will mark brainliest !!!!!!!
Answer:
Width=x+4
Step-by-step explanation:
In ΔRST, the measure of ∠T=90°, the measure of ∠S=21°, and ST = 7.7 feet. Find the length of TR to the nearest tenth of a foot.
Answer:
TR = 3 ft
Step-by-step explanation:
tan x = [tex]\frac{o}{a}[/tex]tan (21) = [tex]\frac{o}{7.7}[/tex]7.7( tan 21) = o2.9 = oround up and you get;3.0=oGraph the linear equations. Find three points that solve the equation -3x + 2y= 2
Answer:
(0,1) , (2,4) , (4,7)
Explanation:
convert the equation into slope-intercept form (this would be y=3/2x+1)
now plug in random numbers for x and solve for y by multiplying them by 3/2 and adding 1.
I need help ASAP I only have 30 more mins!!
Answer:
x = 2
Step-by-step explanation:
if the line passes through the x axis it means we should use the of x
if it passes through y we should use value of y
in this question perpendicular means at a 90 degree angle
the coordinates is 2,6
so x must be 2
Given n(t) = -2(t+5)2 +4, find n(-8).
Answer:
n(-8)=16 is the answer
What is the most impportant part of ratios
Answer:
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).
Step-by-step explanation:
Wich of the following is the definition of the domain of relation
Answer:
The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
Como resolver (+7).(-5)?
E favor responder com a expressao montada?
Obrigado!!!
Tu tá no brainly americano, irmão.
[tex]7 \times - 5 = - 7 - 7 - 7 - 7 - 7 = - 35[/tex]
According to the Ruler Postulate, what does
the set of points on any line correspond to?
Answer:
The answer is Real numbers
Suppose you just purchased a digital music player and have put 8 tracks on it. After listening to them you decide that you like 4 of the songs. With the random feature on your player, each of the 8 songs is played once in random order. Find the probability that among the first two songs played (a) You like both of them. Would this be unusual? (b) You like neither of them. (c) You like exactly one of them. (d) Redo (a)-(c) if a song can be replayed before all 8 songs are played.
Answer:
a) 21.43% (It is unusual to happen)
b) 21.43%
c) 57.14%
d) Probability of you liking both songs played = 25%
Probability of liking exactly one song = 50%
Step-by-step explanation:
a)
If you like 4 of the 8 songs, the probability of liking the first song is 4/8
Then, for the second song, we have 3 songs you like among 7 songs that can be played, so the probability is 3/7.
So the probability of you liking both songs played is:
P = (4/8) * (3/7) = 0.2143 = 21.43% (It is unusual to happen)
b)
If you like 4 of the 8 songs, you dislike 4 as well, so the probability of not liking the first song is 4/8.
Then, for the second song, we have 3 songs you dislike among 7 songs that can be played, so the probability is 3/7.
So the probability of you disliking both songs played is:
P = (4/8) * (3/7) = 0.2143 = 21.43%
c)
In this case you can like either the first or the second song, so we need to sum the probabilities of both cases:
Probability of liking the first song and disliking the second:
P1 = (4/8) * (4/7) = 0.2857
Probability of disliking the first song and liking the second:
P2 = (4/8) * (4/7) = 0.2857
P = P1 + P2 = 0.5714 = 57.14%
d)
If a song can be replayed, we have:
Probability of you liking both songs played:
P = (4/8) * (4/8) = 0.25 = 25%
Probability of liking the first song and disliking the second:
P1 = (4/8) * (4/8) = 0.25
Probability of disliking the first song and liking the second:
P2 = (4/8) * (4/8) = 0.25
P = P1 + P2 = 0.5 = 50%
Which of the statements about the diagram is INCORRECT?
A) ∠ 1 ≅ ∠2
B) BE ≅ ED
C) BE ≅ CE
D) CE ≅ EA
Answer:
C) BE ≅ CE
Step-by-step explanation:
[tex]\triangle BEA \cong \triangle DEC\\BE \ncong CE\\[/tex]
Because BE and CE are not corresponding sides.
The corresponding sides and angles of a congruent triangle are congruent.
(c) [tex]\mathbf{\angle BE \cong CE}[/tex] is incorrect
From the question, triangles BEA and CED are congruent.
This means that, the following statements are true
[tex]\mathbf{BE \cong ED}[/tex].[tex]\mathbf{CE \cong EA}[/tex].[tex]\mathbf{\angle 1 \cong \angle 2}[/tex].The above statements represent options (a), (b) and (d).
This means that:
[tex]\mathbf{\angle BE \cong CE}[/tex] is incorrect
This is so because, BE and CE are not corresponding sides.
Hence, (c) [tex]\mathbf{\angle BE \cong CE}[/tex] is incorrect
Read more about corresponding triangles at:
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Please help will make Brainliest!!
Answer:
yellow
Step-by-step explanation:
you can only change the amount of games you buy, which would be 24/game for xbox one and 20/game for ps4
PLZZZ HELLP 3+7 − 1/2 is an example of
A. a numerical equation
B. an algebraic equation
C. a numerical expression
D. an algebraic expression
Answer:
C. a numerical expression.
Step-by-step explanation:
Right away, what you should know is that this is an expression. Equations are expressions, except wiht an equal sign. This is not algabraeic though, since there is no valuable (for example 3x, or 7a). So, through the process of elimination, the answer would be a numerical expression.
Hope this helps!
the difference of 5 and 2, times 3
Answer:
9
Step-by-step explanation:
(5-2)*3
5-2=3
3*3=9
Answer:
3(5-2) = 9
Step-by-step explanation:
PEMDAS