Solve the following expression when
k= 12
(4k + 2) = 10

Solve The Following Expression Whenk= 12(4k + 2) = 10

Answers

Answer 1

Answer:

5

Step-by-step explanation:

(4k + 2) ÷ 10

(4(12) + 2) ÷ 10

(48 + 2) ÷ 10

(50) ÷ 10

= 5

Hope this helps!! <3

Answer 2

The solution to the expression (4k + 2 ) ÷ 10 when k = 12 is 5

From the given expression, we are to solve for (4k + 2) ÷ 10

When

k = 12

What we are going to do is that we will replace k with 12 wherever we see (k) in the expression given

= (4k + 2 ) ÷ 10

= (4(12) + 2 ) ÷ 10

= (48 + 2) ÷ 10

= (50) ÷ 10

= 5

Learn more about mathematical expressions here:

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Related Questions

If R = {(1,2) ,(2,3) ,(3,4) ,(4,5) } is subset of A x B , Find domain (A) and Range (B) ​

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Answer:

hey

here is the attachment of your question

Answer:

[tex]thank \: you[/tex]

100,000 less than five hundred sixty thousand,three hundred thirteen is __________.​

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Answer:

100,000>56,313 56, 56,313<100,000

Please help me I nned help

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Answer:

length*breadth*height

How do you add 1.7 plus 2 and 2/3

Answers

Answer:

4.37 (repeated)

Step-by-step explanation:

Answer:

[tex]\frac{131}{30}[/tex]

Step-by-step explanation:

1. Convert the decimal into a fraction by writing our number above a fraction line without the decimal sign.

2. Count the decimal places. Below the fraction lines write the multiple of 10 with that many zeros so that would be [tex]\frac{17}{10}[/tex]

3. Now write all numerators above the lcd (least common denominator) 30. So that would be [tex]\frac{51 + 60 + 20}{30}[/tex]

4. Calculate the sum of the positive numbers. The result is [tex]\frac{131}{30}[/tex]

5. Answer is [tex]\frac{131}{30}[/tex]

Find the LCM of 17, 120 and 240.​

Answers

17 = 17
120 = 2 × 2 × 2 × 3 × 5
240 = 2 × 2 × 2 × 2 × 3 × 5

LCM(17, 120, 240)
= 2 × 2 × 2 × 2 × 3 × 5 × 17
= 4080

LCM = 4080

How far below the surface of the water is the top of a submerged mountain if the ocean floor depth is 12,500 feet and the mountain has a height of 10,190 feet?

Answers

Answer:

12500 - 10190 = 2310 ft.

Step-by-step explanation:

does this table represent a function

Answers

Answer:

yes

Step-by-step explanation:

Each input has one corresponding output.

PLEASE HELP NOW

write and solve an equation to find the value of X. please explain in details and show your work!

Answers

Answer:

Solution=96°+x+35°

=x+96°+35°

=x=96°-35°

=x=61°

State the gradient of the line 2y = 3 – 2x.

Answers

Answer:

Step-by-step explanation:

2y = 3-2x

y = -x + 3/2

Slope of line = coefficient of x = -1

What is the best description of the relationship in the scatterplot below?

Answers

Step-by-step explanation:

As x increases. f(x) increases so their is a positive linear association.

Solve |3n +6| = 21

Answers:
n= -5 and n = 5
n= -9 and n = 9
n= -9 and n = 5
no solution

Answers

Answer:

a

Step-by-step explanation:

Point O is the centroid of triangle ABC. If OD=3x -2 and OC= 5x, find x.

Answers

At centroid medians bisect each other in the ratio 2:1

[tex]\\ \sf\longmapsto OC=2(OD)[/tex]

[tex]\\ \sf\longmapsto 2(3x-2)=5x[/tex]

[tex]\\ \sf\longmapsto 6x-4=5x[/tex]

[tex]\\ \sf\longmapsto 6x-5x=4[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

The value of x is 4, when we are given O is the centroid of the triangle ABC, OD = 3x - 2, and OC = 5x.

What is the centroid of a triangle?

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians connect. The junction of all three medians is another definition for it. The median is a line that connects the middle of a side to the triangle's opposite vertex. The median is divided by the centroid of the triangle in a ratio of 2:1.

How to solve the question?

In the question, we are given that O is the centroid of triangle ABC, and are asked to find the value of x, for which OD = 3x - 2, and OC = 5x.

We know that the median is divided by the centroid of the triangle in a ratio of 2:1.

Thus, the median CD is divided by the ratio of 2:1 as,

2/1 = OC/OD,

or, 2/1 = (5x)/(3x - 2),

or, 2(3x - 2) = 1(5x) {Cross-multiplying},

or, 6x - 4 = 5x,

or, 6x - 5x = 4,

or, x = 4.

Thus, the value of x is 4, when we are given O is the centroid of the triangle ABC, OD = 3x - 2, and OC = 5x.

Learn more about the centroid of a triangle at

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#SPJ2

X^2 -24x-108=0 factorize

Answers

Answer:

(x-27)(x+4) = 0

Step-by-step explanation:

I think you have a typo, and meant

x^2 -23x-108

what are two factors of 108 that differ by 23?

x^2 -24x-108 does not factor with rational coefficients.

A cell phone company $500 for a new phone and $60 for a monthly plan. If C(t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function?
A. R: (0,500)
B. R: (60,560)
C. R: R
C: R: (-infinity, infinity)

HOW DO I SOLVE THIS?!

Answers

The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is: [tex]R: (500, \infty)[/tex]

Given that:

[tex]Phone = \$500[/tex]

[tex]Monthly\ Plan = \$60[/tex]

Let the number of months be t. So, the function C(t) is calculated as follows:

[tex]C(t) = Phone + Monthly\ Plan \times t[/tex]

[tex]C(t) = 500 + 60 \times t[/tex]

[tex]C(t) = 500 + 60t[/tex]

The range is calculated as follows:

The smallest possible value of t is 0 i.e. when no monthly subscription is done.

So, we have:

[tex]C(0) = 500 + 60\times 0= 500 + 0 = 500[/tex]

And the highest is [tex]\infty[/tex] i.e. for a large value of t

So, we have:

[tex]C(\infty) = 500 + 60\times \infty= 500 + \infty = \infty[/tex]

Hence, the range of the function is:

[tex]R: (500, \infty)[/tex]

Read more about range of functions at:

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Solve.
6*7-3^2*9+4^3
Every time I did this, I got -103, and my teacher kept saying it's wrong. Please solve and show your work so I can see what I did wrong .

Answers

Answer:

25

Step-by-step explanation:

6*7-3^2*9+4^3

Exponents first

6*7-9*9+64

Multiply and divide from left to right

42 -9*9+64

42 - 81 +64

Add and subtract from left to right

-39 +64

25

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{6\times7-3^2\times9+4^3 }}\\\huge\boxed{\mathsf{= 42 - (9)(9) + 4^3}}\\\huge\boxed{\mathsf{= 42 - 81 + 64}}\\\huge\boxed{\mathsf{= -39 + 64}}\\\huge\boxed{\mathsf{= 25}}}}\\\huge\boxed{\mathsf{Therefore, your\ answer\ is: 25}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

solve x+5y=11 and -x+4y=7 using elimination​

Answers

Answer: (1, 2)

Concept:

There are three general ways to solve systems of equations:

EliminationSubstitutionGraphing

Since the question has specific requirements, we are going to use elimination

Solve:

Given expressions

x + 5y = 11

-x + 4y = 7

Add both equations together to elimination [x] variable

(x + 5y) + (-x + 4y) = 11 + 7

x - x + 5y + 4y = 18

9y = 18

Divide 9 on both sides

9y / 9 = 18 / 9

[tex]\boxed{y=2}[/tex]

Find the x value

x + 5y = 11 ⇔ Given equation

x + 5(2) = 11 ⇔ Substitute values of y

x + 10 = 11 ⇔ Simplify by multiplication

x + 10 - 10 = 11 - 10 ⇔ Subtract 10 on both sides

[tex]\boxed{x=1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Stack the two equations and add them together as if they were multi-digit numbers. That will eliminate the x and then you can solve for the y. Knowing y you can then go back and solve for x.

Step-by-step explanation:

x + 5y = 11

-x + 4y = 7

---------------- "Add" the equations above to get the equation below.

9y = 18

Now you can divide both sides by 9 to see that y is equal to 2.

Now that you know that y = 2 you can substitute y in either of the two original equations. I'll use the first.

x + 5(2)= 11

x + 10 = 11

x = 1

the set of all natural numbers less than 15 write set build notation​

Answers

Answer:

{x : x Σ N, x<15}

Step-by-step explanation:

Set of all natural number less than 14 = {x : x Σ N, x<15}

Help Please!!!
Find lim h → 0 f(x+h)-f(x)/h for the given function and value of x.

f(x) = -4x -1, x = 5

Answers

Step-by-step explanation:

[tex]\displaystyle \lim_{h \to 0} \dfrac{[-4(x + h) - 1] - (-4x - 1)}{h}[/tex]

[tex]\displaystyle \:\:\:\:\:\:\:\:\:=\lim_{h \to 0}\dfrac{-4h}{h}[/tex]

[tex]\:\:\:\:\:\:\:\:\:=-4[/tex]

-4b+3(6-7b)=93 please help with the asnswr

Answers

Answer:

b = -3

Step-by-step explanation:

-4b + 3(6 - 7b) = 93

-4b + 18 - 21b = 93

-4b - 21b = 93 - 18

-25b = 75

[tex]\sf{b = \frac{75}{ - 25} }[/tex]

b = -3

b = - 3

Step-by-step explanation:

-4b + 3(6-7b) = 93

-4b + 18 - 21b = 93

-25b + 18 = 93

-25b = 93 - 18

-25b = 75

b = 75 : - 25

b = - 3

How many sentences does 2 paragraphs have?
Answer ASAP

Answers

2 paragraphs would have 8 sentences

Answer: depends how much you type

Step-by-step explanation:

Which property of equality can be used to justify this step?

15 - 10x = 6x
+ 10x + 10x
————————
15 = 16x


A. Substitution Property of Equality
B. Summation Property of Equality
C. Addition Property of Equality
D. Subtraction Property of Equality

Answers

C. Addition property of Equality
C. Addition Property of Equality
because you are adding 10x to both sides

Answer the question with explanation;​

Answers

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

[tex]\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0[/tex]

Therefore, by the series divergence test, the series [tex]\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}[/tex] diverges.

EDIT: To VectorFundament120, if [tex](x_n)_{n\in\mathbb N}[/tex] is a sequence, both [tex]\lim x_n[/tex] and [tex]\lim_{n\to\infty}x_n[/tex] are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.

Answer:

[tex]\displaystyle \sum^{\infty}_{n = 1} \frac{n^2}{(n + 1)^2} = \text{div}[/tex]

General Formulas and Concepts:

Calculus

Limits

Special Limit Rule [Coefficient Power Method]:                                         [tex]\displaystyle \lim_{x \to \pm \infty} \frac{ax^n}{bx^n} = \frac{a}{b}[/tex]

Series Convergence Tests

nth Term Test:                                                                                               [tex]\displaystyle \sum^{\infty}_{n = 1} a_n \rightarrow \lim_{n \to \infty} a_n[/tex]Integral Test:                                                                                                 [tex]\displaystyle \sum^{\infty}_{n = a} f(n) \rightarrow \int\limits^{\infty}_a {f(x)} \, dx[/tex]P-Series:                                                                                                         [tex]\displaystyle \sum^{\infty}_{n = 1} \frac{1}{n^p}[/tex]Direct Comparison Test (DCT)Limit Comparison Test (LCT)Alternating Series Test (AST)Ratio Test:                                                                                                     [tex]\displaystyle \sum^{\infty}_{n = 0} a_n \rightarrow \lim_{n \to \infty} \bigg| \frac{a_{n + 1}}{a_n} \bigg|[/tex]

Step-by-step explanation:

*Note:

Always apply the nth Term Test as the first test to use for convergence.

Rules:

If  [tex]\displaystyle \lim_{n \to \infty} S_n = 0[/tex], then the nth Term Test is inconclusive.If  [tex]\displaystyle \lim_{n \to \infty} S_n = l[/tex]  (some number l), then the series is divergent by the nth Term Test.

Step 1: Define

Identify

[tex]\displaystyle \sum^{\infty}_{n = 1} \frac{n^2}{(n + 1)^2}[/tex]

Step 2: Find Convergence

Substitute in variables [nth Term Test]:                                                       [tex]\displaystyle \sum^{\infty}_{n = 1} \frac{n^2}{(n + 1)^2} \rightarrow \lim_{n \to \infty} \frac{n^2}{(n + 1)^2}[/tex]Expand:                                                                                                         [tex]\displaystyle \lim_{n \to \infty} \frac{n^2}{(n + 1)^2}= \lim_{n \to \infty} \frac{n^2}{n^2 + 2n + 1}[/tex]Evaluate limit [Special Limit Rule - Coefficient Power Method]:                 [tex]\displaystyle \lim_{n \to \infty} \frac{n^2}{(n + 1)^2} = 1[/tex]Compute [nth Term Test]:                                                                             [tex]\displaystyle \sum^{\infty}_{n = 1} \frac{n^2}{(n + 1)^2} = \text{div}[/tex]

∴ by the nth Term Test, the series diverges.

Topic: AP Calculus BC (Calculus I + II)

Unit: Convergence Tests


When solving the given equation, what is the first step?
(a)
Given: -3 + 2 = 4
А
Add 3 to both sides
B
Subtract 3 from both sides
с
Multiply -3 to both sides
D
Divide -3 from both sides
(b)
What is the solution to the give equation?
Given: -3 + x = 4
x = "write the answer (number only) in the answer box"

Answers

Answer:

(a) A

(b) x = 7

Step-by-step explanation:

(a) Given : -3 + 2x = 4

Step 1: Isolate the x to one side. To do so, we get rid of -3 by adding 3 to both sides. (-3 + 3 =0)

2x = 4 + 3

(b) -3 + x = 4

     x = 4 + 3

        = 7

John ate 1/6 of a cake. Mike ate 1/12 of it. How much of the cake did the two boys eat?​

Answers

Answer:

1/4

Step-by-step explanation:

1/6 + 1/12 = 1/4

Answer:

3/3

Step-by-step explanation:

1/6= to 2/12 and 1 /12 = 2 /6

The point A(1,4) has been transformed using the composition T(-1,2) D2. Where is A at?

Answers

Answer:

(6, 6)

Step-by-step explanation:

T (-1, 2) = move down 1, right 2

(1, 4) turns into (3, 3)

Dilation scale factor = 2

Multiply x and y value by 2

(3, 3) = (6, 6)

You have 2 cups of ketchup. You need 2 Tbspoons to make barbecue sauce. How many servings can you make?

Answers

Answer:

1 cup equals 16 tablespoons you have 2 cups so that is 32 tablespoons so you can make 16 servings. I think :)

hope this helps

let me see mathematics genius help me answer this question.​

Answers

Step-by-step explanation: Answer is

(i). 19% or 14/75

(ii) 28% or 7/25

We are asked to find multiple probabilities.

We got to find the number of combinations posible,

Use the combinations formula

[tex]c {}^{n} _r{?} = \frac{(r + n - 1) \: fractorial).}{r \: fractorial(n - 1)fractorial} [/tex]

For math this is read as,

if n choose r,( r+n-1)!/r!(n-1)!.

Where r is how many things we need from and n is the number of things we choose from.

We need 2 things and we have 24 objects to pick from.

So r=2 N equal=24

Which equal

25!/2!(23)!

Which equals

[tex]300[/tex]

So there are 300 possible combinations.

Using

For the 1st question, Since we are given two independent events, we can just multiply the number of good articles by major.

[tex]14 \times 4 = 56[/tex]

So this means the probability is

[tex] \frac{56}{300} = \frac{14}{75} [/tex]

Which is 19%

For the 2nd question, the can multiply the number of minor articles by major articles.

[tex]6 \times 4 = 24[/tex]

So the probability

is

[tex] \frac{24}{300} = \frac{8}{100} = \frac{2}{25} [/tex]

Which is equal to 8%

Write the equation of a line that passes through ( 4, 6), and has a slope of 1/3

Answers

Answer:

y = 1/3x + 14/3

Step-by-step explanation:

y = mx + b

we know the slope, so the equation would be --> y = 1/3x + b

Now we plug in the coordinates of the given point (4, 6) the line goes through, and solve for b:

y = 1/3x + b

6 = 1/3(4) + b

6 = 4/3 + b

-4/3   -4/3

----------------

14/3 = b

can a math god help me out?

Answers

Answer:

[tex]f(1)=70[/tex]

[tex]f(n)=f(n-1)+6[/tex]

Step-by-step explanation:

One is given the following function:

[tex]f(n)=64+6n[/tex]

One is asked to evaluate the function for [tex](f(1))[/tex], substitute [tex](1)[/tex] in place of [tex](n)[/tex], and simplify to evaluate:

[tex]f(1)=64+6(1)[/tex]

[tex]f(1)=64+6[/tex]

[tex]f(1)=70[/tex]

A recursive formula is another method used to represent the formula of a sequence such that each term is expressed as a function of the last term in the sequence. In this case, one is asked to find the recursive formula of an arithmetic sequence: that is, a sequence of numbers where the difference between any two consecutive terms is constant. The following general formula is used to represent the recursive formula of an arithmetic sequence:

[tex]a_n=a_(_n_-_1_)+d[/tex]

Where ([tex]a_n[/tex]) is the evaluator term ([tex]a_(_n_-_1_)[/tex]) represents the term before the evaluator term, and (d) represents the common difference (the result attained from subtracting two consecutive terms). In this case (and in the case for most arithmetic sequences), the common difference can be found in the standard formula of the function. It is the coefficient of the variable (n) or the input variable. Substitute this into the recursive formula, then rewrite the recursive formula such that it suits the needs of the given problem,

[tex]a_n=a_(_n_-_1_)+d[/tex]

[tex]a_n=a_(_n_-_1_)+6[/tex]

[tex]f(n)=f(n-1)+6[/tex]

Can someone plz solve the math problem i attached as a screenshot. Thx

Answers

Answer:

[tex]radius \: of \: first \: circle \: = \frac{3}{2} = 1.5cm \\ radius \: of \: \: second = \frac{4}{2} = 2cm \\ radius \: of \: third = \frac{6}{2} = 3cm \\ then \: ab \: length \\ = radius \: of \: first + diameter \: of \: second \: +r adius \: of \: third \\ = 1.5 + 4 + 3 \\ = 1.5 + 7 \\ = 8.5 cm\\ thank \: you[/tex]

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