3x + (2 + x) + 5 x 2 as a product of two factors

Step-by-step explanation:

[tex]1) \: \: - x + 2y + 2z = - 4 \\ 2z = - 4 + x - 2y \\ z = \frac{ - 4 + x - 2y}{2} \\ \\ 2) \: \: 4x + y - 3z = 13 \\ - 3z = 13 - 4x - y \\ z = \frac{13 - 4x - y}{ - 3} \\ \\ 3) \: \: x - 5y + z = - 23 \\ z = - 23 - x + 5y \\ [/tex]

Using the inverse function, it is found that the equation is:

[tex]P(t) = \frac{e^{0.1t}}{50} + 20[/tex]

It's initial value is 20.

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

We want to find the inverse of:

[tex]y = P^{-1}(t) = 10\ln{50t - 1000}[/tex]

To do this, we exchange y and t, and isolate y.

Then:

[tex]10\ln{50y - 1000} = t[/tex]

[tex]\ln{50y - 1000} = \frac{t}{10}[/tex]

[tex]e^{\ln{50y - 1000}} = e^{0.1t}[/tex]

[tex]50y - 1000 = e^{0.1t}[/tex]

[tex]50y = e^{0.1t} + 1000[/tex]

[tex]y = \frac{e^{0.1t} + 1000}{50}[/tex]

[tex]y = \frac{e^{0.1t}}{50} + \frac{1000}{50}[/tex]

[tex]P(t) = \frac{e^{0.1t}}{50} + 20[/tex]

It's initial value is:

[tex]P(0) = \frac{e^{0.1(0)}}{50} + 20 = 0.02 + 20 = 20.02[/tex]

Rounding, 20.

A similar problem is given at https://brainly.com/question/23950969

Answer:

P = 1/50e^0.1t + 20

Step-by-step explanation:

Answer:

6xy + 2x

Step-by-step explanation:

Simplify the expression.8xy-(x+2xy)+3x​

Answer:

d

Step-by-step explanation:

Answer:

reciprocal of 4 = 1/4

Step-by-step explanation:

By definition, a reciprocal of a/b = b/a.

Since 4 is the same as 4/1, then it's reciprocal must be 1/4.

Answer:

1/4

Step-by-step explanation:

because 4 = 4/1

reciprocal means to flip it upside down 4/1 = 1/4

Answer:

got

submited

showed

arrived

already filled

Step-by-step explanation:

Answer:

66 (lmk if i'm wrong)

Step-by-step explanation:

9x6 + (16-4)

54 +12

66

Answer:

Step-by-step explanation:

-(8/11)/(-3/5) = -(8/11)*(-5/3)

-(8/11)*(-5/3) = 40/33  [ or 1 7/33]

I can't interpret the rest of the question.  I see:

"Add 2/5 + 3/6 + 1/4 0 1 11/60 O 13/20 o 17/20 1 13/60"

Answer:

-4/45

Step-by-step explanation:

[tex]\dfrac{-6}{35}*\dfrac{14}{27}=\dfrac{-6}{5}*\dfrac{2}{27}[/tex]

14 and 35 are given by 7th table.

               [tex]= \dfrac{-2}{5}*\dfrac{2}{9}[/tex]      

Now , 6 and 27 are given by 3rd table

                [tex]=\dfrac{-4}{45}[/tex]

Answer:

-4/45

Step-by-step explanation:

2.03 Quiz: Multiply Signed Fractions

Answer:

25

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

D) X-12

Step-by-step explanation:

imagine that X = 2 or any number less than 12

A) 12 - X = 12 - 2 = 10

B) 12X = 12 ×2 = 24

C) X + 12 = 2 + 12 = 14

D) X - 12 = 2 - 12 = -10

So, the smallest number is (D)

Hope it's help.

If you're like me and don't remember hyperbolic identities (especially involving inverse functions) off the top of your head, recall the definitions of the hyperbolic cosine and sine:

[tex]\cosh(x) = \dfrac{e^x + e^{-x}}2 \\\\ \sinh(x) = \dfrac{e^x - e^{-x}}2[/tex]

Then differentiating yields

[tex]\dfrac{\mathrm d(\cosh(x))}{\mathrm dx} = \dfrac{e^x-e^{-x}}2 = \sinh(x) \\\\ \dfrac{\mathrm d(\sinh(x))}{\mathrm dx} = \dfrac{e^x+e^{-x}}2 = \cosh(x)[/tex]

so that by the chain rule, if

[tex]y = \cosh\left(4\tanh^{-1}(x)\right)[/tex]

then

[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d\left(\cosh\left(4\tanh^{-1}(x)\right)\right)}{\mathrm dx} = \sinh\left(4\tanh^{-1}(x)\right) \dfrac{\mathrm d\left(4\tanh^{-1}(x)\right)}{\mathrm dx}[/tex]

Now, let [tex]z=4\tanh^{-1}(x)[/tex], so that (•) [tex]\tanh\left(\frac z4\right) = x[/tex].

Recall that

[tex]\tanh(x) = \dfrac{\sinh(x)}{\cosh(x)} = \dfrac{e^x-e^{-x}}{e^x+e^{-x}}[/tex]

and so the derivative of tanh(x) is

[tex]\dfrac{\mathrm d(\tanh(x))}{\mathrm dx} = \dfrac{(e^x+e^{-x})(e^x+e^{-x})-(e^x-e^{-x})(e^x-e^{-x})}{(e^x+e^{-x})^2} \\\\ = \dfrac{4\cosh^2(x)-4\sinh^2(x)}{4\cosh^2(x)} \\\\ = 1-\tanh^2(x) = \mathrm{sech}^2(x)[/tex]

where the last equality follows from the hyperbolic Pythagorean identity,

[tex]\cosh^2(x)-\sinh^2(x) = 1 \implies 1-\tanh^2(x) = \mathrm{sech}^2(x)[/tex]

Differentiating both sides of (•) implicitly with respect to x gives

[tex]\dfrac{\mathrm d\left(\tanh\left(\frac z4\right)\right)}{\mathrm dx} = \dfrac{\mathrm d(x)}{\mathrm dx} \\\\ \mathrm{sech}^2\left(\dfrac z4\right)\dfrac{\mathrm d\left(\frac z4\right)}{\mathrm dx} = 1 \\\\ \dfrac14 \mathrm{sech}^2\left(\dfrac z4\right) \dfrac{\mathrm dz}{\mathrm dx} = 1 \\\\ \dfrac{\mathrm dz}{\mathrm dx} = 4\cosh^2\left(\dfrac z4\right) \\\\ \dfrac{\mathrm dz}{\mathrm dx} = 4\cosh^2\left(\tanh^{-1}(x)\right)[/tex]

So, the derivative we want is the somewhat messy expression

[tex]\boxed{\dfrac{\mathrm dy}{\mathrm dx} = 4\sinh\left(4\tanh^{-1}(x)\right) \cosh^2\left(\tanh^{-1}(x)\right)}[/tex]

and while this could be simplified into a rational expression of x, I would argue for leaving the solution in this form considering how y is given in this form from the start.

In case you are interested, we have

[tex]\cosh\left(\tanh^{-1}(x)\right) = \dfrac1{\sqrt{1-x^2}}[/tex]

and you can instead work on differentiating that; you would end up with

[tex]\dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{16x^3+16x}{(x^2-1)^3}[/tex]

Answer:

5790

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

5790

Step-by-step explanation:

0.579 × [tex]10^{4}[/tex]

Calculate 10 to the power of 4 and get 10000.

0.579 × 10000

Multiply 0.579 and 10000 to get 5790

5790

Answer:

90

Step-by-step explanation:

you can multiply anything here in any order.

you could first do 5 times -9

5 * -9 = -45

and then multiply the -2 to the -45

-2 * -45 = 90

Answer:

the answer is d (the last one)

Step-by-step explanation:

2.25 * 2 = 4.5

+

7.25 * 3 = 21.75

= 26.25

he needs 35, so it's not enough

Answer:

x=19/10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1/5(x+0.5)+5.24=3/2x +x+7/10(x+2.2)

(1/5)(x)+(1/5)(0.5)+5.24=3/2x+(7/10)(x)+(7/10)(2.2)(Distribute)

1/5x+0.1+5.24=3/2x+7/10x+1.54

(1/5x)+(0.1+5.24)=(3/2x+7/10x)+(1.54)(Combine Like Terms)

1/5x+5.34=11/5x+1.54

Step 2: Subtract 11/5x from both sides.

1/5x+5.34−11/5x=11/5x+1.54−11/5x

−2x+5.34=1.54

Step 3: Subtract 5.34 from both sides.

−2x+5.34−5.34=1.54−5.34

−2x=

−19/5

Step 4: Divide both sides by -2.

−2x=−19/5

x= 19/10

Answer:

x= 19/10

Answer:

3

Step-by-step explanation:

The opposite of -3 is 3.

Hello!

Answer:

g = 9

Step-by-step explanation:

(g+1)^2

Plug in 2 for g: (2+1)^2

Add 2 and 1: (3)^2

Simplify: (3 x 3)= 9

Hope this helps.

Estimates are used to make prediction about an actual value

The chart is given as:

Fruit     Cost                  Estimated

Apple   $1.75/pound     8.75

Orange $2.35/pound   9.40

Banana $1.50/pound    4.50

The number of pounds of each fruit Annie bought are:

[tex]Apples= 5[/tex]

[tex]Orange = 4[/tex]

[tex]Banana = 3[/tex]

(a) The estimated amount

To do this, we make use of the estimated column.

So, we have:

[tex]Estimated = \sum Cost \times Pounds[/tex]

[tex]Estimated =1.75*5+8.75*4+1.50*3[/tex]

Approximate the prices

[tex]Estimated =2*5+9*4+2*3[/tex]

[tex]Estimated =52[/tex]

Hence, Annie estimated spending $52

(b) The actual amount spent

To do this, we make use of the cost column.

So, we have:

[tex]Actual = \sum Cost \times Pounds[/tex]

[tex]Actual =1.75*5+8.75*4+1.50*3[/tex]

[tex]Actual =48.25[/tex]

Hence, Annie actually spent $48.25

(c) The decision

By comparison, the estimated spending is greater than the actual amount spent.

Hence, your estimation is an overestimation

Read more about estimation at:

https://brainly.com/question/6768038

Answer:

-65 is the right answerrr

Answer:

62•4=248

[tex]63^{4} =2^{24}[/tex]

Step-by-step explanation:

I didn't know which one you needed so here's both.

Answer:

b

Step-by-step explanation:

Answer:

144 students

Step-by-step explanation:

12/28=3/7

3/7*336=144

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If out of 28 students, 12 students packed their lunch.

The number of students who packed their lunch out of 336 students is 144 students.

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

3 miles in 3 hours.

1 mile in one hour.

We have,

In a class of 28 students, 12 students packed their lunch.

We can write this as:

28 students = 12 students packed lunch ______(1)

We have to make 28 students into 336 students.

This can be done by multiplying 12 on both sides of the equation (1)

Multiply 12 on both sides.

12 x 28 students = 12 x 12 students packed lunch

336 students = 144 students packed lunch

Thus,

The number of students who packed their lunch out of 336 students is 144 students.

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ5

Answer:

75 miles

Step-by-step explanation:

because half of 50 is 25 so 25x2 is 50 and 50 plus 25 is 75

Answer:

75

Step-by-step explanation:

count by 25's

25+25=50

50+25=75

Answer:

the answer is------------ 1/4.4.4

Answer:

• If h(x) is 17, equate the whole function to 17

[tex]{ \tt{5x + 2 = 17}} \\ \\ { \tt{5x = 17 - 2}} \\ \\ { \tt{5x = 15}} \\ \\ { \boxed{ \tt{x = 3}}}[/tex]