You have $1,900 in savings for retirement. If your investments earn 8% annually, how much will you have in your retirement account in 6 years?

Answer:

when the lines are opposite and doesnot intersect at any point then the lines are parallel

for example the opposite lines of parallelogram are parallel

when the lines cut each other at one point then we can say that lines are intersecting

hope it helps u

Answer:

When thè lines are parellel and opposte to each other then it is called parellel lines.

When thè lines intersect each other and meet at a point then it is called intersecting lines.

Answer:

Step-by-step explanation:

Hello, we assume that x is different from 0 and f different from 2b

[tex]b+\dfrac{3}{x}=\dfrac{f}{2}\\\\\text{Subtract b}\\\\+\dfrac{3}{x}=\dfrac{f}{2}-b\\\\\text{Mulitply by 2x}\\\\+\dfrac{3*2*x}{x}=6=\dfrac{2xf}{2}-2bx=(f-2b)x\\\\\text{Divide by f-2b}\\\\\Large \boxed{\sf \bf x=\dfrac{6}{f-2b}}[/tex]

Thanks

Answer:

399.17 miles

Step-by-step explanation:

Gunnar's car gets 22.4 miles per gallon. His gas tank can hold 17.82 gallons of gas.

Gunnar's car travels with one gallon of gas = 22.4 miles

He can travel with 17.82 gallon of gas = 17.82 × 22.4

                                                             = 399.168 ≈ 399.17 miles

Gunnar can travel 399.17 miles if he uses all of the gas in the gas tank.

Answer:

8.3

Step-by-step explanation:

10 minutes is 1/6th of an hour so divide 50 by 6 to find the answer.

50/6= 8.3333333  so rounded to the nearest tenth is 8.3

[tex]a_1=1, a_n=a_{n-1}+5[/tex] ([tex]n>1[/tex]).

Hope this helps.

Answer:

470.

Step-by-step explanation:

The units digit 7.

As this is greater than 4 we  add 1 to the tens digit.  ( 6 + 1 = 7), and the units digit becomes 0.

Answer:

≈ 3 mg

Step-by-step explanation:

Dosing mass calculation formula is:

Dosing mass

Converting to kg

Loading dose

Answer: 6062

Add Parentheses

[tex](6.2*10)+(6*10^3)[/tex]

Note: Always Multiply the Parentheses first!

Multiply

[tex]6.2*10=62[/tex]

[tex]6*10^3=6000[/tex]

How is 6×10^3 6000?

Before you multiply the whole equation you first Multiply 10 3 times. This is called an Exponent. In my own words, an exponent is a number that tells you how many times to multiply that number. So if we had 6^2 I will multiply 6×6 2 times. So we multiply 10×10×10 and get 1000. Then we multiply 6×1000 and get 6000.

Add

Since the final step is to add we Add the answer we got for 6.2×10 and 6×10^3.

Therefore we are adding 62*6000 and we get 6062.

Answer:

the LCM would be 8 based on the following set of multiples: Multiples of 2: 2, 4, 6, 8, 10, 12, 14, ... Multiples of 8: 8, 16, 24, 32, 40, 48, 56, ...

Step-by-step explanation:

Answer:

It's not evaluated correctly

Step-by-step explanation:

in the problem 6 × 5 + 30 ÷ 30 we first need to multiply 6 and 5 then divide the 30 by 10 and finally add them up

6×5 = 30

30 ÷ 10 = 3

30 + 3 = 33

Answer:

2x² - 19x + 42

Step-by-step explanation:

We want to expand (x - 6)(2x - 7) into a trinomial.

We use the FOIL (first, outer, inner, last) method.

First, multiply the first terms of each parenthetical expression; in the first one, that's x, and in the second, that's 2x:

x * 2x = 2x²

Next, multiply the outer terms; in the first one, that's x, and in the second, that's -7:

x * (-7) = -7x

After that, multiply the inner terms; in the first one, that's -6 and in the second, that's 2x:

(-6) * 2x = -12x

Finally, multiply the last terms; in the first one, that's -6 and in the second, that's -7:

(-6) * (-7) = 42

Now, add all these results together:

2x² + (-7x) + (-12x) + 42

2x² - 19x + 42

The answer is thus 2x² - 19x + 42.

~ an aesthetics lover

Answer:

2x²-19x+42

Step-by-step explanation:

x·2x-x·7-6·2x+6·7

2xx-7x-12x+42

2x²-7x-12x

2x²-7x-12+42

Answer:

= -35x² - 31x - 6

Step-by-step explanation:

(-7x -2)(5x+3) = -7x*5x -7x*3 -2*5x -2*3 = -35x² - 21x - 10x - 6

= -35x²  - 31x - 6

Answer:

The answer is true. I hope this helps

Answer:

yes. If there will be Evacuation and emergency procedures then the students can learn about that and can use that when there is an emergency case.

Answer:

[tex] \boxed{ \bold{ { \boxed{ \sf{ - {w}^{3} + 4 {w}^{2} - 8w + 7}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{( - {w}^{3} + 8 {w}^{2} - 3w) - (4 {w}^{2} + 5w - 7)}[/tex]

Remove the unnecessary Parentheses

⇒[tex] \sf{ - {w}^{3} + 8 {w}^{2} - 3w - (4 {w}^{2} + 5w - 7)}[/tex]

When there is a ( - ) in front of a parentheses, change the signs of each term in the expression

⇒[tex] \sf{ - {w}^{3} + 8 {w}^{2} - 3w - 4 {w}^{2} - 5w + 7}[/tex]

Collect like terms

⇒[tex] \sf{ - {w}^{3} + 8 {w}^{2} - 4 {w}^{2} - 3w - 5w + 7}[/tex]

⇒[tex] \sf{ - {w}^{3 } + 4 {w}^{2} - 8w + 7 }[/tex]

Hope I helped!

Best regards!!

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

          [tex]\boxed{-w^3 + 4w^2 + -8w + 7}[/tex]

Let's simplify step-by-step.

[tex](-w^3+8w^2-3w)-(4w^2+5w-7)[/tex]

Distribute the Negative Sign:

[tex]= -w^3 + 8w^2 - 3w + -1( 4w^2 + 5w - 7 ) \\= - w^3 + 8w^2 + 3w + -1(4w^2) + -1 (5w)+(-1 )(-7)\\= -w^3 + 8w^2 + -3w + -4w^2 + 5w + 7[/tex]

Combine Like Terms:

[tex]= -w^3 + 8w^2 + -3w + -4w^2 + -5w + 7 \\= (-w^3) + ( 8w^3 + -3w + -4w^2) + ( -3w + -5w) + 7 \\= -w^3 + 4w^2 + -8w + 7[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

346.78

Step-by-step explanation:

Rounding a number to hundredth means approximating or making the number after the second position of the decimal to either a 10 or zero.

Thanks for the number after the second is greater or equal to 5, it is rounded up to ten where the 1 is added to the second position if not it turns 0.

So 346.7812 to hundredth

= 346.78

Answer:

0.48 rad/sec

Step-by-step explanation:

From the diagram:

We can find 'x' using trigonometry :

Tanθ = opposite / Adjacent

Opposite = x ; adjacent = 4

Tanθ = x / 4

x = 4tanθ

Let u = 4 and v = tanθ

If dx/dt = 3ft/s ;

dθ/dt when x = 3ft

Differentiate x with respect to t

dx/dt (4tanθ)

Let d/dθ tanθ = sec^2θ

Sec^2θ = 1 / cos^2θ

dθ/dt = 1/4cos^2θdx/dt

dθ/dt = 1/4cos^2θ(3)

dθ/dt = 3/4cos^2θ

When x = 3ft

Cosθ = Adjacent / Hypotenus

Hypotenus = √(4^2 + 3^2

Hypotenuse = √16 + 9 = √25 = 5

Cosθ = 4/5

dθ/dt = 3/4(4/5)^2

dθ/dt = 3/4(16/25)

dθ/dt = 48/100 = 12/25 = 0.48 rad/sec

Answer:

(-1, -1)

Step-by-step explanation:

To find where two lines in slope-intercept form intersect, set them equal to each other.

2x + 1 = -5x - 6

7x = -7

x = -1

Knowing they intersect at x = -1, substitute -1 into either of the two equations to find the y-value of their intersection.

y = 2(-1) + 1

y = -2 + 1

y = -1

So the intersection point of the two lines is (-1, -1).

Answer: x=1, y=-4

Step-by-step explanation:

There are different ways to solve system of equation

In your case, since they are all put y on one side, then we should use substitution.

we should substitute y

-7x+3=-x-3

-7x+x=-3-3

  -6x=-6

      x=1

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

substitute x into any one of the equation to find y

y=-7x+3

y=-7×1+3

y=-7+3

y=-4

y=-x-3

y=-1-3

y=-4

#CarryOnLearning

Answer: $18.90

Step-by-step explanation:

multiply both by 15

subtract from each other

Answer:

Go online and do research, I'm pretty sure you have websites around your area that is looking for tutors

Step-by-step explanation:

Answer:

x+5=x÷7+12=x-7=10 it is 30

Answer:

30

Step-by-step explanation:

Given number is x, then:

The number is 30

Answer:

28 mph

Step-by-step explanation:

Distance

Time

Average speed

The difference with allowed speed

Answer:

28mph

Step-by-step explanation:

Answer:

The first three nonzero terms in the Maclaurin series is

[tex]\mathbf{ 5e^{-x^2} cos (4x) }= \mathbf{ 5 ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }[/tex]

Step-by-step explanation:

GIven that:

[tex]f(x) = 5e^{-x^2} cos (4x)[/tex]

The Maclaurin series of cos x can be expressed as :

[tex]\mathtt{cos \ x = \sum \limits ^{\infty}_{n =0} (-1)^n \dfrac{x^{2n}}{2!} = 1 - \dfrac{x^2}{2!}+\dfrac{x^4}{4!}-\dfrac{x^6}{6!}+... \ \ \ (1)}[/tex]

[tex]\mathtt{e^{-2^x} = \sum \limits^{\infty}_{n=0} \ \dfrac{(-x^2)^n}{n!} = \sum \limits ^{\infty}_{n=0} (-1)^n \ \dfrac{x^{2n} }{x!} = 1 -x^2+ \dfrac{x^4}{2!} -\dfrac{x^6}{3!}+... \ \ \ (2)}[/tex]

From equation(1), substituting x with (4x), Then:

[tex]\mathtt{cos (4x) = 1 - \dfrac{(4x)^2}{2!}+ \dfrac{(4x)^4}{4!}- \dfrac{(4x)^6}{6!}+...}[/tex]

The first three terms of cos (4x) is:

[tex]\mathtt{cos (4x) = 1 - \dfrac{(4x)^2}{2!}+ \dfrac{(4x)^4}{4!}-...}[/tex]

[tex]\mathtt{cos (4x) = 1 - \dfrac{16x^2}{2}+ \dfrac{256x^4}{24}-...}[/tex]

[tex]\mathtt{cos (4x) = 1 - 8x^2+ \dfrac{32x^4}{3}-... \ \ \ (3)}[/tex]

Multiplying equation (2) with (3); we have :

[tex]\mathtt{ e^{-x^2} cos (4x) = ( 1- x^2 + \dfrac{x^4}{2!} ) \times ( 1 - 8x^2 + \dfrac{32 \ x^4}{3} ) }[/tex]

[tex]\mathtt{ e^{-x^2} cos (4x) = ( 1+ (-8-1)x^2 + (\dfrac{32}{3} + \dfrac{1}{2}+8)x^4 + ...) }[/tex]

[tex]\mathtt{ e^{-x^2} cos (4x) = ( 1 -9x^2 + (\dfrac{64+3+48}{6})x^4+ ...) }[/tex]

[tex]\mathtt{ e^{-x^2} cos (4x) = ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }[/tex]

Finally , multiplying 5 with [tex]\mathtt{ e^{-x^2} cos (4x) }[/tex] ; we have:

The first three nonzero terms in the Maclaurin series is

[tex]\mathbf{ 5e^{-x^2} cos (4x) }= \mathbf{ 5 ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }[/tex]

Answer:

C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.

Step-by-step explanation:

Volume=576π cubic centimeters

Radius=8 cm

h=?

Her work:

Volume of a cyclinder=πr^2h

Step 1:

576π= π8^2h

Step 2:

576π = 64πh

Step 3:

576π / 64π = 64πh / 64π

Step 4:

h=9π cm

Correct workings:

Step 1:

576π= π8^2h

Step 2:

576π = 64πh

Step 3:

576π / 64π = 64πh / 64π

Step 4:

h= 9 centimeters

Her error is in step 4

C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.

Answer:

the error was made in step 4,  should have also been cancelled making the correct answer as 9 cm.

Step-by-step explanation:

Answer:

Acceleration

Step-by-step explanation:

The Newton's second law of motion can be expressed as;

F = ma

Where F is the force acting on an object, m is the mass of the object and a is the acceleration of the object.

For an object of mass 2kg and acceleration of 5 m/[tex]s^{2}[/tex], we have;

[tex]F_{1}[/tex] = 2 × 5 = 10 N

If we triple the mass,

m = 2 × 3 = 6 kg

Therefore,

[tex]F_{2}[/tex] = 6 × 5 = 30 N

Thus, at constant acceleration, [tex]F_{2}[/tex] = 3 × [tex]F_{1}[/tex]

Answer:

3rd and 4th option

Answer: Option 3.  [tex]\sqrt[c]{a^b}[/tex] Option 4. [tex](\sqrt[c]{a} )^b[/tex]

Step-by-step explanation:

concept to know: when the exponent is a fraction, the numerator will be the real exponent with the base (i.e 7^5), while the denominator will be the root

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

[tex]a^{\frac{b}{c}[/tex]

b is the numerator which means it will result in [tex]a^b[/tex]

c is the denominator which means it will result in [tex]\sqrt[c]{a}[/tex]

The combination of this two will be [tex]\sqrt[c]{a^b}[/tex]

This will also be presented as [tex](\sqrt[c]{a} )^b[/tex]

Hope this helps!! :)

Please let me know if you have any question

Answer:

27x^6y^9

Step-by-step explanation:

(3x^2y^3)^3 = 3^3 * (x^2)^3 * (y^3)^3 =

= 27x^6y^9

Answer:

6.6×10²¹

Step-by-step explanation:

6,600,000,000,000,000,000,000 → there are 21 place values after the first non-zero number ''6''

to convert to standard form, we move the decimal point after the first non-zero number.  

6,600,000,000,000,000,000,000.0 ← decimal in the end

the decimal will be moved, all the digits after the decimal are counted and they will resemble the index.

6.6×10²¹  

Answer:

1a. either AC ≅ DF or AB ≅ DE

1b. <A ≅ <D

2a. B

2b. D

Step-by-step explanation: