please help me, if you help then thanks!

Please Help Me, If You Help Then Thanks!

Answers

Answer 1

9514 1404 393

Answer:

  k = 3

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

__

Using these rules, we can simplify the left-side expression, then equate exponents of the same base.

  [tex](3)^2(3^2)^k=3^8\\\\(3^2)(3^{2k})=3^8\\\\3^{2k+2}=3^8\\\\2k+2=8\qquad\text{equate exponents}\\\\k+1=4\qquad\text{divide by 2}\\\\\boxed{k=3}\qquad\text{subtract 1}[/tex]


Related Questions

Evaluate the expression.
6(3 + 5)
26.
4
HELP

Answers

Answer =1267.2

Step-by-step explanation:

6(3+5)26.4

6×8×26.4

48×26.4

1267.2 is the answer

please help in solving this math problem​

Answers

9514 1404 393

Answer:

  Rs 3200

Step-by-step explanation:

The actual selling price was 20% below the cost price, so was ...

  sp = cp(1 -20%) = 0.80cp

Had the selling price been raised, the selling price would have been 5% above the cost price:

  sp +800 = cp(1 +5%) = 1.05cp

Subtracting the first equation from the second gives ...

  (sp +800) -(sp) = (1.05cp) -(0.80cp)

  800 = 0.25cp . . . . . . . simplify

  3200 = cp . . . . . . . . multiply by 4

The cost price was Rs 3200.

write 3.777777777 as a mixed number

Answers

The answer is 3 7/10
The above answer is wrong, it would be 3 and 7/9 because it is a repeating decimal.

m is the midpoint . LM = x+9 MN = 4x find the length of LN

Answers

Step-by-step explanation:

MN=x+16MN=x+16LN=4x+16MN=x+16LN=4x+16LM+MN=LNMN=x+16LN=4x+16LM+MN=LNLM+(x+16)=4x+16MN=x+16LN=4x+16LM+MN=LNLM+(x+16)=4x+16LM=(4x+16)-(x+16)MN=x+16LN=4x+16LM+MN=LNLM+(x+16)=4x+16LM=(4x+16)-(x+16)LM=4x+16-x-16MN=x+16LN=4x+16LM+MN=LNLM+(x+16)=4x+16LM=(4x+16)-(x+16)LM=4x+16-x-16LM=3xMN=x+16LN=4x+16LM+MN=LNLM+(x+16)=4x+16LM=(4x+16)-(x+16)LM=4x+16-x-16LM=3x MN=x+16LN=4x+16LM+MN=LNLM+(x+16)=4x+16LM=(4x+16)-(x+16)LM=4x+16-x-16LM=3x 3x=x+16 3x-x=16 2x=16 x=16/2 x=8 MN=x+16=8+16=24

f(x)=x^4+3, g(x)=x-7 and h(x)=square root of x then f(g(h(x))=

Answers

Answer:

x² - 28x√x + 294x - 1372√x + 2404

Step-by-step explanation:

f(x) = [tex]x^{4}[/tex] + 3

g(x) = x - 7

h(x) = √x

f(g(h(x))) - ?

g(h(x)) = √x - 7

f(g(h(x))) = [tex](\sqrt{x} -7) ^{4}[/tex] + 3 = ( √x - 7 )² × ( √x - 7 )² + 3 =

= (x - 14√x + 49)(x - 14√x + 49) + 3 =

= x² - 14x√x + 49x - 14x√x + 196x - 686√x + 49x - 686√x + 2401 + 3 =

=  x² - 28x√x + 294x - 1372√x + 2404

PLEASE HELP!!! How does the multiplicity of a zero affect the graph of the polynomial function?

Answers

9514 1404 393

Answer:

2, 4, 61cross

Step-by-step explanation:

Consider a zero at x=1.

If it has multiplicity 1, the corresponding factor is (x -1). Now consider the sign of that factor for x = 1.1. The value is (1.1 -1) = 0.1, a positive number.

When the value of x is 0.9, the factor is (0.9 -1) = -0.1, a negative number.

This tells you that values to the left of a zero make the factor(s) associated with that zero be negative. For x-values to the right of the zero, the factor(s) will be positive.

If the multiplicity is even, the product of those factors is positive on either side of the zero. (A negative number to an even power is a positive number.) That is, the graph will not change sign from one side of an even-multiplicity factor to the other. At an odd-multiplicity factor, the graph changes sign.

__

For the problem at hand, the only even-multiplicity factor is (x -1), so the graph will not change sign at x=1. It will touch the axis (be tangent to the x-axis), but will not cross. The other zeros have odd multiplicity (1 or 3), so the graph will change sign there.

It is worthwhile to note that the higher the multiplicity, the "flatter" the graph is at the zero. You can see this in the attachment by comparing the shape of the graph at x=6 with the shape at x=2 (also an upward zero crossing).

_____

Additional comment

You may wonder why the curve is below the x-axis at x=1 when the product of the factors in that neighborhood is always positive. The reason is that there are an odd number of zeros to the right of x=1, so the product of those factors is negative.

435 divided by 15 equals what?

Answers

The answer is 29 hope this helps :D

Cody won 64 super bouncy balls playing hoops at the county fair. At school he gave three to every student in his math class. He only has 7 remaining. How many students are in his class ?
need algebraic equation too

Answers

Let x = # of students
Equation: 64 - 3x = 7
Subtract 64 from both sides
-3x = -57
Divide both sides by -3
x = 19

There are 19 students in his class.

write in descending order . answer it as soon as possible ​

Answers

Step-by-step explanation:

7[3]

3[7]

I don't hv the square root key

plss mark brainliest

Sample annual salaries​ (in thousands of​ dollars) for employees at a company are listed.
41  54  61  48  27  27  41  54  61  31  48  41  47
​(a) Find the sample mean and sample standard deviation.
​(b) Each employee in the sample is given a 5​% raise. Find the sample mean and sample standard deviation for the revised data set.
​(c) To calculate the monthly​ salary, divide each original salary by 12. Find the sample mean and sample standard deviation for the revised data set.
​(d) What can you conclude from the results of​ (a), (b), and​ (c)?

Answers

Answer:

Down

Step-by-step explanation:

List from low to high

27 27 31 41 41 41 47 48 48 54 54 61 61

a. Mean = sum of sample/2

Mean = 581 / 2 = 290.5

b. Mean + 5%

290.5 + 5% = 305.025

c. 305.025 / 12 = 25.41875

d. Mean is ratio. Thus the adding and dividing with anything will affect the mean overall

Integers bigger than 3 and smaller than 10

Answers

Answer:

There are 6 integers in-between 3 & 10

Explanation:

Integers are simply whole numbers.

4,5,6,7,8,9.

Find the nth term for the following sequences, 100,96,90,82,72.(an^2+bn+c)​

Answers

9514 1404 393

Answer:

  t(n) = -n^2 -n +102

Step-by-step explanation:

We can use the first 3 terms to find a, b, c.

  a(1)^2 +b(1) +c = 100

  a(2)^2 +b(2) +c = 96

  a(3)^2 +b(3) +c = 90

Subtract the first equation from the other two:

  3a +b = -4 . . . . . . [eq4]

  8a +2b = -10 . . . . [eq5]

[eq5] can be reduced to

  4a +b = -5 . . . . . . [eq6]

Subtracting [eq4] from [eq6] gives ...

  (4a +b) -(3a +b) = (-5) -(-4)

  a = -1 . . . . . . . . simplify

Filling that into [eq4], we get

  3(-1) +b = -4

  b = -1 . . . . . . . add 3

Putting the values for 'a' and 'b' into the first equation gives ...

  -1 +-1 +c = 100

  c = 102

Then the n-th term t(n) of the sequence is ...

  t(n) = -n^2 -n +102

_____

Additional comment

As you might guess, there is a generic solution for quadratic sequences. In terms of the first term (a1), first first difference (d1), and second difference (d2), the coefficients can be written as ...

a = d2/2b = d1 -3ac = a1 -d1 +d2

This sequence has first differences of -4, -6, -8, -10, and second differences of -2. Putting the sequence values into the above formulas, we find ...

a = -2/2 = -1b = -4 -3(-1) = -1c = 100 -(-4) +(-2) = 102 . . . . . as above

The perimeter of a rectangle is 92 cm. If the length is 22 cm, how wide is the rectangle?

A) First write an equation you can use to answer this question. Use w as your variable in the equation.

Answers

Answer:

W = 24cm

Step-by-step explanation:

p of a rectangle = 92

L = 22cm and W = ?

p = 2(L+W)

92 = 2(22+W)

92 = 44 + 2W

2W = 92 - 44

2W = 48

W = 48/2

W = 24cm

Which two integers is 91 squared by 3 between

Answers

Answer:

9 and 10

Step-by-step explanation:

[tex]-2b-(-7)=11[/tex]

Answers

Answer:

2

Step-by-step explanation:

[tex] - 2b - ( - 7) = 11 \\ \\ - 2b + 7 = 11 \\ \\ - 2b = 11 - 7 \\ \\ - 2b = 4 \\ \\ b = \frac{4}{ 2} \\ \\ b = 2[/tex]

Hope it help you

Answer:

b = -2

Step-by-step explanation:

[tex] - 2b - ( - 7) = 11[/tex]

[tex] - 2b + 7 = 11[/tex]

[tex] - 2b + 7 - 7 = 11 - 7[/tex]

[tex] - 2b = 11 - 7[/tex]

[tex] - 2b = 4[/tex]

[tex]b = 4 \div( - 2) = - 4 \div 2 [/tex]

[tex]\boxed{\green{b = - 2}}[/tex]

I need you help, help me pleaseeeee

Answers

Answer:

y=4x+2 is answer .......

23 + 3.54 ÷ 3 − 1.089

Answers

Answer:

23.089

Step-by-step explanation:

Always divide first then continue with subtraction then addition.

Hey there!

Just do PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

23 + 3.54 / 3 - 1.089

= 23 + 3.54 / 3 - 1.089

3.54 / 3 = 1.18

= 23 + 1.18 - 1.089

23 + 1.18 = 24.18

= 24.18 - 1.089

= 23.091

Answer: 23.091

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

A hotel has a total of 7 floors if there are 35 standard rooms on each floor how many standard rooms are there

Answers

There would 245 standard rooms

Answer:

245

Step-by-step explanation:

multiple the amount of rooms on each floor (35) by the amount of floors (7)

35x7=245 rooms

Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.30. After one month, Paul bought 12 passes and spent a total of $22.60.

How much did he spend on the student discount card?

Answers

Answer:

$10.24

Step-by-step explanation:

12(1.30)=12.36

22.60-12.36=10.24

Write the equation of the line that
Passes through (-9,4) and 10,-2)

Answers

Answer:

y = -6/19x - 2

Step-by-step explanation:

First we need to find the slope and we can do that by using slope-intercept form [ y2-y1/x2-x1 ].

-2-4/10-(-9)

-6/19

Second we can find the y-intercept using slope intercept form [ y = mx + b], the slope, and a given point.

y = -6/19x + b

4 = -6/19(-9) + b

4 = 54/19 + b

-2 = b

Third we will input all the data we solved for back into the formula.

y = -6/19x - 2

Best of Luck!



Help me pleaseeeesndjkdnskxndkdjd

Answers

Step-by-step explanation:

[tex]8x - 3 = 5 + 4y[/tex]

Isolate y first subtract 5 from both sides

[tex]8x - 8 = 4y[/tex]

Divide both sides by 4.

[tex] \frac{8x - 8}{4} = y[/tex]

[tex]2x - 2 = y[/tex]

y= 1

Step-by-step explanation:

Solve for y:

8x - 3 = 5 + 4y

8x = 4y + 5+3

Divide both sides by 8

x = 1÷2y + 1

plug into equation

8 (1÷2y +1) - 3 = 5 + 4y

Distribute

8÷2+ 8 - 3 = 5 + 4y

4 + 5 -5 = 4y

Combine like item

4 = 4y

divide both sides by 4

y= 1

Help ASAP pleaseeee!!!!!

Answers

This is the solutions to the question

Answer:

x = -2/ 9

Step-by-step explanation:

[tex] \frac{2}{5}(x - 2) = 4x \\ \frac{5}{2} \times \frac{2}{5}(x - 2) = 4x \times \frac{5}{2} \\ x - 2 = 10x \\ 9x = - 2 \\ x = \frac{ - 2}{9} [/tex]

a circle has a radius of 4m. find the circumference of the circle show your worth and strictly answering used 3.14 for pi​

Answers

Answer:

25.12

Step-by-step explanation:

Circumference (C) = 2πr

Where r = radius

We want to find the circumference of a circle with a radius of 4m ( this means that r = 4 )

To do so we simply plug in the value of r into the circumference formula

Formula: C = 2πr

r = 4 ( note that it says use 3.14 for π )

plug in values

C = 2(3.14)(4)

Simplify

C = 25.12

Can someone help me (Geometry)

Answers

Answer:

sum of angles on a straight line =180 degrees

DAB=180-36-35=109 degrees

A king Palm can grow about 21 feet a year . Estimate the height of the kind palm , yard ,after 15 years

Answers

Answer:

10.5 yards after 15 years

Step-by-step explanation:

2.1 feet times 15 years, which equals to 31.5 feet, convert 31.5 feet into yards, so divide it by 0.3, and that equals to approximately 10.5 yards

hi guys all can come
qwo-jtvf-xkb​

Answers

Answer

Hello

how are you

Kakuro is like a crossword puzzle with numbers.

Answers

9514 1404 393

Answer:

   [[. . 3 6 .][1 3 4 9 .][9 2 . 7 1][. 1 2 8 3][. 4 9 . . ]]

Step-by-step explanation:

It is helpful to remember that the first four digits {1, 2, 3, 4} total 10, and the last four digits {6, 7, 8, 9} total 30. It is also worthwhile to note that the smallest sum of two digits is 3 = 1+2, and the largest sum of 2 digits is 17 = 8+9. Some sums can only be made one way: 4 = 1+3, 16 = 7+9.

Here, we will refer to rows 1-5 from the top down, and columns 1-5 from the left to right.

__

Based on the above, column 5 can only be made one way: 1+3. Column 4 can only be made one way: 9+8+7+6. Then the choices for row 3B will be 1+7 or 5+3. We know it can't be 5+3 because 5 is not part of column 4. This makes our first fill-in (row, column) be (3,4)=7, (3,5)=1, (4,5)=3.

The sum of the remaining cells in row 4 must be 14-3 = 11, and cell (4,4) must be 6, 8, or 9. It cannot be 9, because that would require the remaining two cells to have a sum of 2, which they cannot. So, cell (4,4) is 6 or 8.

Cell (1,4) cannot be 9, either, because we cannot use 0 in cell (1,3). Then the only place for 9 in column 4 is in cell (2,4)=9.

With cell (1,4) being restricted to 6 or 8 (the two remaining numbers in column 4, cell (1,3) must be 3 or 1, and cell (2,3) must be 4 or 6. It cannot be 6 because that would require a sum of 2 in the first two cells of row 2, so (2,3)=4, (1,3)=3, and (1,4)=6. This makes (4,4)=8 and the remaining two cells of row 4 must be 1 and 2. 1 cannot go in (4,3), so we must have (4,3)=2 and (5,3)=9, (5,2)=4, (4,2)=1. That leaves 2 and 3 for rows 2 and 3 of column 2. The first two cells of row 2 must total 4, so must be 1 and 3. Cell (2,2) cannot be 1, so must be 3, leaving (2,1)=1, (3,1)=9, (3,2)=2 and that completes it.

The fill-ins are ...

   [. . 3 6 .]

  [1 3 4 9 .]

  [9 2 . 7 1]

  [. 1 2 8 3]

  [. 4 9 . . ]

Which of the following is an arithmetic sequence?

Answers

Answer:

please mark me brainliest please

Match the expression to its value.
104
1
= 0.01
102
104
102
10,000
10-4. 102
1
= 0.000001
109
10-4
1
= 0.0001
10-

Answers

Answer:

Ans; 10⁴ —> 10, 000

Ans; 10-⁴ / 10² —> 1/ 10⁶ = 0. 000 001

Ans; 10-⁴ × 10² —> 1/ 10² = 0.01

Ans; 10-⁴ —> 1/ 10⁴ = 0. 000 1

I hope I helped you^_^

Answer:

A=a

B=d

C=c

D=b

Step-by-step explanation:

Express (16^3)^1/2
in simplest radical form.

Answers

Answer:

I assume you mean 16^(1/3) i.e. the cube root of 16

I am also assuming you mean the real cube root because, as you may know, every non-zero real number has three cube root - one real and two complex conjugates.

Since 16 = 8 x 2 and 8 = 2³ then (2³ x 2)^1/3 = (2³)^1/3 x 2^1/3 = 2 x 2^1/3

You might check that the cube root of 16 is about 2.52 which is twice the cube root of 2

Step-by-step explanation:

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