What is the least common multiple of 2 and 5

(f + g)(x) = 2 x²+6x+2

The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)). It means here function g is applied to the function of x. So, basically, a function is applied to the result of another function.

Given function is:

f ( x ) = 2 x + 2 and g ( x ) = 2 x² + 4 x

So,

(f + g)(x)

= f(x)+g(x)

= 2x+2+2 x² + 4 x

=2 x²+6x+2

Hence, (f + g)(x) = 2 x²+6x+2.

Learn more about composition of function here:

https://brainly.com/question/20379727

#SPJ1

Answer:

Problem 13: NO

Problem 14: YES

Step-by-step explanation:

HOPE IT HELPS YOU IN YOUR LEARNING PROCESS.

Answer:

uhm can i see the formula for the question?

Step-by-step explanation:

Answer:

3rd option,

24   -12   6

42   18    0

Step-by-step explanation:

6 x (4) = 24

6 x (-2) = -12

6 x (1) = 6

6 x (7) = 42

6 x (3) = 18

6 x (0) = 0

Yes, there is statistical evidence that the drug is effective in reducing infarct size because p-value is less than the significance value.

Let us first define the hypotheses;

Null Hypothesis; H₀: µ = 25

Alternative Hypothesis; H₁: µ < 25

Standard Deviation; σ = 10

Sample mean; x' = 16

Sample size; n = 8

z-score is;

z = (16 - 25)/(10/√8)

z = -2.55

From online z-score table, the p-value is 0.005

Since p-value is less than the significance value, then we reject the null hypothesis and conclude that the drug is effective in reducing infarct size.

Read more about Hypothetical Evidence at; https://brainly.com/question/875167

#SPJ1

[tex]6000 = 3000(1+0.0424)^{t}[/tex]

t = 16.73 years

This can be solved using the "exponential growth" formula.

Steps:

A = Final Amount

S = Starting Value

r = rate

c = times in a year ( c = 1 in this equation which is why it's not shown in the actual equation )

1. [tex]A=S(1+\frac{r}{c})^{ct}[/tex] → cancel out S →  [tex]\frac{A}{S} = \frac{S(1+\frac{r}{c})^{ct} }{S}[/tex]

2. [tex]\frac{A}{S} = {(1+\frac{r}{c})^{ct} }[/tex]  → sperate ct from equation by logging both sides (logging a value with an exponent brings the exponent in front of log)  → [tex]log(\frac{A}{S}) = ctlog(1+\frac{r}{c})[/tex]

3. [tex]log(\frac{A}{S}) = ctlog(1+\frac{r}{c})[/tex] → transfer right side log to left side along with the c value to only have t remaining → [tex]\frac{log(\frac{A}{S})}{clog(1+\frac{r}{c})} = \frac{ctlog(1+\frac{r}{c})}{clog(1+\frac{r}{c})}[/tex]

4. Solve for answer: [tex]\frac{log(\frac{A}{S})}{clog(1+\frac{r}{c})} = t[/tex]

Answer: its option D) 17 years

Step-by-step explanation: the answer is 16.7 but you round it up because thats not an option

Answer:  The first question is a corrosponding angle, which means the measure is the same.  So, angle KRQ is 146°.

And QRN is 128°.

Answer:

density: 0.25 g/cm³

Explanation:

density = mass/volume

Here given:

· mass: 16 grams

· volume: side³ = 4³ = 64 cm³

Find density:

· mass/volume

· 16/64

· 0.25 g/cm³

Answer:

4.a

5.b

Step-by-step explanation:

In question 4, the shape and width of the origin must be negative, which is the only *a*

slop

The slope of the line comes before x

Answer:

[tex]-3x + 10y[/tex]

Step-by-step explanation:

Step 1:  Combine like terms

[tex]2x + 3y - 5x + 7y[/tex]

[tex](2x - 5x) + (3y + 7y)[/tex]

[tex]-3x + 10y[/tex]

Answer: [tex]-3x + 10y[/tex]

Answer:

Slopem=−32

As a decimal:

m = -1.5

Step-by-step explanation:

Answer:

V=12.6cm^3

Step-by-step explanation:

Volume of Cone Formula: [tex]V=\pi r^2\frac{h}{3}[/tex]

Given:

Radius=2, Height=3

1. Plug in your given values into the formula

[tex]V=\pi 2^2\frac{3}{3}[/tex]

2. Solve

[tex]V=\pi 2^2\frac{3}{3}\\V=\pi 4\frac{3}{3}\\V=\pi 4*1\\V=\pi 4\\V=12.5663706144[/tex]

Rounded to tenths: 12.6

The total surface area of the cone is 542.592 square mm

The formula for calculating the total surface area of a cone is expressed as:

TSA = πr(r + l)

where

r is the radius of the cone

l is the slant of the cone

Given the following parameter

l = 13.6mm

r = 8mm

Substitute

TSA = π(8)(8+13.6)
TSA = 3.14(8)(21.6)

TSA = 542.592 square mm

Hence the total surface area of the cone is 542.592 square mm

Learn more on surface area here: https://brainly.com/question/76387

#SPJ1

Answer:

= 6 items per hour

Explanation:

This is a fraction equal to 18 items ÷ 3 hours

We want a unit rate where 1 is in the denominator, so we divide top and bottom by 3

18 items ÷ 3

3 hours ÷ 3

= 6 items/1 hour

= 6 items/hour

= 6 items per hour

The provided equations are not a solution to the given equation, which is (5x - 2)2 = 10

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have given a linear equation in one variable:

(5x - 2)2 = 10

Finding the solution to the above equation

5x -2 = 5

5x = 7

x = 7/5

For checking A:

x= -2+2

x = 0

Not a solution to the given equation.

For checking B:

x = -√12

Not a solution to the given equation.

For checking C:

x- 42 = 0

x = 42

Not a solution to the given equation.

For checking D:

x=2 +2 = 4

Not a solution to the given equation.

For checking E:

x= √10 +20

Not a solution to the given equation.

For checking F:

x-10 +2 = 5

x = 13

Not a solution to the given equation.

Thus, the provided equations are not a solution to the given equation, which is (5x - 2)2 = 10

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Answer:

n = -10

Explanation:

[tex]\Rightarrow \sf \dfrac{1}{n} +\dfrac{4n+16}{n^2-6n} =\dfrac{4}{n-6}[/tex]

Factor the common term

[tex]\Rightarrow \sf \dfrac{1}{n} +\dfrac{4n+16}{n(n-6)} =\dfrac{4}{n-6}[/tex]

Make the denominator same

[tex]\Rightarrow \sf \dfrac{n-6}{n(n-6)} +\dfrac{4n+16}{n(n-6)} =\dfrac{4}{n-6}[/tex]

Join the fractions

[tex]\Rightarrow \sf \dfrac{n-6+4n+16}{n(n-6)}=\dfrac{4}{n-6}[/tex]

simplify the following

[tex]\Rightarrow \sf \dfrac{5n+10}{n(n-6)}=\dfrac{4}{n-6}[/tex]

cross multiply

[tex]\Rightarrow \sf\left(5n+10\right)\left(n-6\right)=n\left(n-6\right)\cdot \:4[/tex]

cancel out common term

[tex]\Rightarrow \sf\left(5n+10\right)=4n[/tex]

exchange sides

[tex]\Rightarrow \sf 5n-4n=-10[/tex]

simplify

[tex]\Rightarrow \sf n=-10[/tex]

Answer:

3

Step-by-step explanation:

to find the volume of a rectangular prism, Volume = length x height x width

Volume is 45 units (given)

length is 5 units (given)

45 = 5 x w x l

45 / 5 = w x l

9 = w x l

only 3 x 3 = 9 works with these numbers

45 = 5 x 3 x 3

Answer:

810 cm^3

Step-by-step explanation:

Since,the l(length) b(breadth) & h(height) of the cuboid bear the ratio 5 : 3 : 2 ,we could assume it as:

We know that,

So substitute the dimensions we assumed:

[tex] \rm \: Total \; Surface\; area \: of \: the \; cuboid = 2(5z \times 3z + 3z \times 2z + 2z \times 5z[/tex]

[tex] \implies \rm \: 279 = 31 {z}^{2} [/tex]

[tex] \rm \implies {z}^{2} = \cfrac{279}{31} [/tex]

[tex] \rm \implies {z}^{2} = 9[/tex]

[tex] \implies \rm \: z = \sqrt{9} [/tex]

[tex] \rm \implies \: z = \sqrt{3 \times 3} = 3[/tex]

Hence, according to the formula,

We got the dimensions of the cuboid, i.e.

Then, solve.

Hence,the volume of the cuboid will be 810 cm^3

The minimum allowable value of slope for tree A is 0.052 and rte slope of the zip line is 0.043 in tree B.

The horizontal distance from starting tree is 135 feet. Therefore, the slope of the zipline will be:

= 7/135 = 0.052

The horizontal distance from starting tree for tree B is 160 feet. Therefore, the slope of the zipline will be:

= 7/160

= 0.043

Learn more about slope on:

https://brainly.com/question/3493733

#SPJ1

Answer:

C=1n

Step-by-step explanation:

So first you look for keywords, the most noticeable one is "total cost." C will be at the end of the equation.

C= ? + ?

Then, each hot dog costs $1 which means no matter how many hot dogs there will be, it will be multiplied by the cost. So, the answer is:

c=1n

Answer:

66?

Step-by-step explanation:

Answer:

333.33

Step-by-step explanation:

If we know that 1/5 of an unkown number is 100, then to find then original number we can multiply 100 by 5. This leaves us with 500, the original number. Now, we can multiply 500 by 2/3 to find our final answer.

500 * 2/3 = 333.33

Answer:

? where is it

Step-by-step explanation:

Answer:

w = [tex]\frac{P-2i}{2}[/tex]

Step-by-step explanation:

P = 2w + 2i ( subtract 2i from both sides )

P - 2i = 2w ( isolate w by dividing both sides by 2 )

[tex]\frac{P-2i}{2}[/tex] = w

The accounts receivable turnover ratio for the year ended January 31, 2021, for Somerset Corporation is 11.3 times.

The accounts receivable turnover ratio is a financial measurement of the effectiveness of a company to extend credits and collect debts.

The ratio, which shows the number of times per period that Somerset Corporation can collect its credit sales, can be computed as net credit sales divided by average accounts receivable.

Sales on account = $650,000

Accounts receivable balances:

February 1, 2020 = $60,000

January 31, 2021 = $55,000

Average receivable = $57,500 ($60,000 + $55,000)/2

Accounts receivable turnover ratio = Net credit sales/Average receivables

= 11.3 x ($650,000/$57,500)

Thus, the accounts receivable turnover ratio for the year ended January 31, 2021, for Somerset Corporation is 11.3 times.

Learn more about accounts receivable turnover ratio at https://brainly.com/question/27523896

#SPJ1

Answer:12, 84 and 84

Step-by-step explanation:

since we  know 3 angles of a triangle = 180 degrees

1 angle = 12 degrees

12 + x + x = 180

12 + 2x = 180

2x= 180 - 12

2x = 168

x = 168/2

x = 84 degrees

Hope it helps! Mark it as Braniest

Answer:

64° , 64° , 52°

Step-by-step explanation:

       The two angles that are same be 'x'

        Third angle = x  - 12

Sum of all angles of triangle = 180

                      x + x + x -12      = 180

                                   3x - 12 = 180

                                          3x = 180 + 12

                                          3x = 192

                                             x = 192/3

                                             x = 64

x - 12 = 64 - 12

         = 52

Answer:

first off the park you've listed is no match for the fact its more then 0.86.

Step-by-step explanation:

[tex]tan^{-1} (\frac{7}{420} )\\\\= arctan (\frac{7}{420} )\\\\= arctan (\frac{1}{60} )\\= 0.95[/tex]

so basically it equals 0.95°

which basically means 0.86 < 0.95.

Answer:

3.1

Step-by-step explanation:

sine 70= x/4

sin= opposite/hypotenuse

Answer:

17500

Step-by-step explanation:

That would be 35 * 500

= 17500