2q
Answer:
solution given:
[tex]log_{10} n=q[/tex]
now
[tex] Log_{10 }n^2=?[/tex]
by using property of logarithms
[tex]log_{a} n^p=p log_{a}n [/tex]
now
[tex] Log_{10 }n^2=2 Log_{10 }n[/tex]
=2q
since [tex]log_{10} n=q[/tex]
Step-by-step explanation:
6. Multiply: i) 3x (5x+8y)
ii) 4x (3x2 + 5x-7)
iii) (3x+4y) (2x-7y)
iv) (2-3a) (2a2-3a+7)
Answer:
Step-by-step explanation:
3x(5x+8y)=15x^2+24xy
4x(3x^2+5x-7)=12x^3+20x^2-28x
(3x+4y)(2x-7y)=6x^2+8xy-21xy-28y^2=6x^2-13xy-28y^2
(2-3a)(2a^2-3a+7)=4a^2-6a+14-6a^3+9a^2-21a=-6a^3+13a^2-27a+14
I need help I have a test...!
Find the value of x in the figure:
Answer:
In first situation= =given angle + x=sum of angle of triangle. =110°+x=180°=70° X=70° Similarly, 2. condition can be solved i.e-x=144°
Step-by-step explanation:
What is the counter example for the conditional below? if a number is divisible by 6, then it is divisible by 18.
Answer:
24 is divisible 6 but not 18.
Step-by-step explanation:
The statement in the question is not true. So a counterexample is an example of the statement being false. Consider 24. 24 is divisible by 6, but 24 is not divisible by 18.
The counter example for the expression where a number is divisible by 6 then alternatively it will be divisible by 18 is when the number is 24 or 30
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number be n
The number n is divisible by 6
And , the number will be divisible by 18 when it is divisible by 6
Substitute the value of n = { 24 , 30 }
The number n = 24 is divisible by 6 but not divisible by 18
And , The number n = 30 is divisible by 6 but not divisible by 18
Hence , the expression is not valid
To learn more about equations click :
https://brainly.com/question/19297665
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Find the complex zeros of the following polynomial function.
f(x)=
[tex] {x}^{3} - 1[/tex]
Make sure to simplify your answer Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.
The complex zeros of f are:
Answer:
[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex]
Step-by-step explanation:
[tex]f(x)=x^3-1[/tex]
[tex]0=x^3-1[/tex]
[tex]0=(x^2+2x+1)(x-1)[/tex]
[tex]x-1=0[/tex]
[tex]x=1[/tex] <-- Real Solution
[tex]x^2+x+1=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-2\pm\sqrt{2^2-4(1)(1)}}{2(1)}[/tex]
[tex]x=\frac{-1\pm\sqrt{1^2-4(1)(1)}}{2(1)}[/tex]
[tex]x=\frac{-1\pm\sqrt{1-4}}{2}[/tex]
[tex]x=\frac{-1\pm\sqrt{-3}}{2}[/tex]
[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex] <-- Complex Solutions
Asap?
Robert wrote two patterns. Pattern 1 started at 2 and followed the rule "add 4." Pattern 2 started at 1 and followed the rule "add 3." Pattern 1 is represented by x-coordinates, and Pattern 2 is represented by y-coordinates. Which table shows the ordered pairs for these two patterns?
X Y
1 2
4 6
8 10
12 14
X Y
2 1
6 4
10 7
14 10
X Y
1 2
2 6
3 10
4 14
X Y
2 1
4 4
6 7
8 10
Answer:
the 2nd one lol
Step-by-step explanation:
Answer:
number 2ᕙ(@°▽°@)ᕗStep-by-step explanation:
a2+b2=
What is the answer
Answer:
(a+b)² - 2ab
Step-by-step explanation:
it is a formula :)
I need help lololololololololololololololol
Answer:
bestie so do i
Step-by-step explanation:
Find the area of the semicircle.
Either enter an exact answer in terms of pi or use 3.14 for IT and enter your answer as a decimal.
Answer:
Step-by-step explanation:
semi circle: pi(r^2)/ 2
r=3
AREA: 14.14
Round 68,533 to the nearest hundred.
Answer:
68,500
Step-by-step explanation:
68,533 <- Hundreds place is underlined
[] To round, we look at the number right the place. If it is less than 5, keep it the same. If it is five or greater , round up.
[] In this case it is a 3, so we keep it the same. We get an answer of 68,500
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
find the sides marked with letters
Also explain how to solve it
Answer:
m = 10
Step-by-step explanation:
The triangles are similar. The scale factor is 15/9.
We multiply 6 by the scale factor and get m:
m = 6 * 15/9 = 10
Then we see that m (10) is also the lenght of a side in the smaller triangle, so we multiply 10 by 15/9 and find a.
a = 16,6 (circa)
HELP ME ON MY GEOMETRY PLEASEEEEE
Answer:
A
Step-by-step explanation:
The width of the rectangle is 50% of its length. What is the area of the rectangle?
Answer:
area = length x half of length
Step-by-step explanation:
whatever the length of the rectangle is, replace it with 'length'
for example if the length was 6cm, it would be:
length x half of length = area
6cm x (6/2) = area
6cm x 3cm = area
18cm² = area
please help me Simplify (4m3)2.
Therefore, the simplified form of (4m3)2 is 24m.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Don’t answer just for points please~ I need help and I’m struggling lol
Answer: 50
Step-by-step explanation:
5x + 55 = 2x + 100
5x = 2x + 45
3x = 45
x = 15
y equals angle 2
180 = 5(15) + 55 + y
180 = 75 + 55 + y
180 = 130 + y
50 = y
angle is 50
We know that:
=> m∠2 + 5x + 55 = 180°=> 5x + 55 = 2x + 100Because of 180° angle formula.
First, let's solve for x. Then we will solve m∠2.
=> 5x + 55 = 2x + 100=> 5x - 2x = 100 - 55=> 3x = 45=> x = 15Since we have found x, it is time to find m∠2.
=> 5(15) + 55 + m∠2 = 180=> 75 + 55 + m∠2 = 180=> 130 + m∠2 = 180=> m∠2 = 180 - 130=> m∠2 = 50Conclusion:Therefore, the measure of m∠2 is 50°
Hoped this helped.
[tex]BrainiacUser1357[/tex]
What is an equation of the line that passes through the points (2, -1) and (3,-4)
Answer:
Step-by-step explanation:
Given:
x1 = 2
x2 = 3
y1 = -1
y2 = -4
Solution:
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( -4 - -1 ) / ( 3 - 2 )
m = -3 / 1
m = -3
Then,
y - y1 = m ( x - x1 )
y - (-1) = -3 ( x - 2 )
y + 1 = -3x + 6
y = -3x + 6 - 1
y = -3x + 5
The points (-1,-4) and (-2, -8) fall on a particular line. What is its equation in point-slope
form?
Use one of the specified points in your equation. Write your answer using integers, proper
fractions, and improper fractions. Simplify all fractions,
Answer:
y = 4x
Step-by-step explanation:
The point slope form is:
y − y1 = m(x − x1)
We are given (x,y) and (x1,y1), so put those into the equation first:
(-4-(-8)) = m(-1 -(-2))
4 = m*( 1)
m = 4
The equation is y = 4x. It goes through the origin, (0,0), so the y-intercept is 0.
HELP PLEASE! Which function had the higher average rate of change between the beginning of January and the middle of March? What does this mean about the temperature in the two cities?
Answer:
Minneapolis
Step-by-step explanation:
In a relation y = 2t + 1, what is the value of y if t = 7
Answer:
If t = 7, y = 16
Step-by-step explanation:
y = 2t + 1
y = 2(7) + 1
y = 14 + 1
y = 15
please help I’ll give 60 points
Answer:
See image
Step-by-step explanation:
You need to use a common denominator in order to add fractions. The first fraction can be changed by multiplying by 3/3. The second fraction remains the same. The sum in the third line uses the two fractions with common denominators (both now have a 12 on the bottom). 8/12 can be reduced by dividing 8 and 12 by 4 to get 2/3 see image
7) There are 5 white balls, 8 red balls, 7 yellow balls and 4 green
balls in a container. A ball is chosen at random.
What is the probability of choosing red?
8)What is the probability of choosing green?
9) What is the probability of choosing either red or white?
10) What is the probability of choosing neither white nor green?
11) What is the probability of choosing other than yellow?
12) What is the probability of choosing black?
Answer:
7. 1/3
8. 1/6
9. 13/24
10. 5/8
11. 17/24
12. 0
Step-by-step explanation:
First find the total number balls by summing the indiviudal number of balls:
Total = 5 + 8 + 7 + 4 = 24
Then, the find any probability divide the number of ways your selected situation can happen from the total:
[tex]probability = \frac{number.of.possible.ways}{total.number.of.ways}[/tex]
A final step if you want is to reduce the fraction to its simplest value. For example,
[tex]\frac{2}{4} =\frac{1}{2}[/tex]
7) 8/24 = 1/3
8) 4/24 = 1/6
9) (8+5)/24 = 13/24
10) (24 - 5 -4)/24 = 15/24 = 5/8
11) (24 - 7)/24 = 17/24
12) (0)/24 = 0
---
Hey, hope this helped! If you want to say thank you, click the "Thanks" button and select the answer "The Brainliest!" - I appreciate it!
PLEASE HELP ME ASAP!!!!!!!!! GOD BLESS YOU IF YOU HELP ME THIS WILL RAISE MY GRADE
Can you help me explain
Answer:
6, 60, 0.6, 600 are the answers
the questions all use the same digits but that the powers of 10 are different between the dividends and divisors for some
Step-by-step explanation:
Solve for C: 20 (greater than or equal too sign) C-11
Answer:
C (is greater than it equal to) 31
Step-by-step explanation:
Isolate the c by adding 11 to both sides (cancels out the 11 and turns 20 into 31). Keep the sign the same!! Hope this helped! <33
John is 10 years younger than james . In 5 years time James will be twice as old as John 1. How old is John 2. what was their total age 3 years ago
Answer:
John is 5 nowtotal age 3 years ago was 14Step-by-step explanation:
When James is twice as old as John, the difference in their ages will be John's age: 10. That is 5 years from now, so John's age now is 10 -5 = 5.
John is 5 years old.
__
3 years ago, John was 2 and James was 12. Their total age at that time was 14.
8. Determine the slope of each line,
f(x) = 3x + 6
Answer:
3
Step-by-step explanation:
Pick 2 x values to plug in:
x = 0: 3(0)+6 = 6
x = 2: 3(2)+6 = 12
slope = (y2 - y1) / (x2 - x1)
slope = (12 - 6) / (2 - 0)
slope = 6 / 2
slope = 3
write the inequality this number line represents "14-15-16-17-18-19-20-21-22-23-24"
PLEASE HELP!!
Answer:
x≤19
Step-by-step explanation:
because its everything to the left of 19 including 19
Answer:
Interval notation: (- ∞, 19]
Inequality notation: -∞ < x ≤ 19
Step-by-step explanation:
Given the inequality graphed on a number line, where there is a closed circle on 19:
A closed circle represents the endpoint as part of the solution. Moreover, the direction of the arrow on the number line points toward the left, which implies that all of the values that are less than or equal to 19 are included on the solution.
Therefore, the inequality represented on the number line is:
Interval notation: (- ∞, 19]
Inequality notation: -∞ < x ≤ 19
I need help, could someone please explain this.
Find the polynomial function in standard form that has the zeros listed. 1-2i and 1 + 2 i
Answer:
y = x² -2x +5
Step-by-step explanation:
When a polynomial has q as a zero, it has (x-q) as a factor. Your polynomial has factors (x -(1-2i)) and (x -(1+2i)). The polynomial will be the product of these factors.
__
y = (x -(1 -2i))(x -(1 +2i))
y = ((x -1) +2i)((x -1) -2i) = (x -1)² -(2i)² = x² -2x +1 -4(-1)
y = x² -2x +5
_____
Additional comments
i is the imaginary number √(-1), so i² = -1.
The two given roots differ only in the sign of their imaginary parts, so they are "conjugates" of each other. Complex roots of polynomials with real coefficients always come in conjugate pairs. (In some problems, you will be expected to supply the missing root of a conjugate pair.)
The expression for the product of the factors is simplified using the factoring for the difference of squares:
(a -b)(a +b) = a² -b² . . . . . . . here, we have a=(x-1); b=2i
Select the correct answer.
Which equation represents the line that is perpendicular to y = 1/5 and passes through (-4,-3)?
A.X=-4
B.X=-3
C. y=-5
D. y=-3
Step-by-step explanation:
The answer is b for sure.
LaShawn earned $60.00 for working 8 hours this weekend. What is the total amount of money LaShawn would earn for working 34 hours at the same rate of pay
To find this answer we have to do these steps below
1. Find the amount of money that LaShawn earns in an Hour
We have to do 60/8 which is 7.5
LaShawn earns 7.5 dollars in an hour
2. Multiply 7.5 by 35
The answer to that is 262.5 dollars
Therefore the answer is 262.5 dollars
I hope this helped, if it's wrong, blame me
Ps. Brailents would help a LOT
Solve the equation.
7- 3n = 11n+ 2