Alexis put $2000 in a savings account. After 4 years, she had $2543 in the
account. What rate of interest did she earn? Use the formula A = Pert, where A

Answer:

4th option

Step-by-step explanation:

Bring the negative radical on the left to the other side to make it positive.

Square both sides.

Answer:

[tex]y=-5(x+2)-1[/tex]

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

Step-by-step explanation:

Two points on the line are (-3, 4) and (-2, -1)

Therefore:

[tex]\textsf{let}\:(x_1,y_1)=(-3,4)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-2,-1)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-4}{-2-(-3)}=-5[/tex]

Point-slope form of linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

Substituting point (-3, 4) in the point-slope equation:

[tex]\implies y-4=-5(x-(-3))[/tex]

[tex]\implies y=-5(x+3)+4[/tex]

Substituting point (-2, -1) in the point-slope equation:

[tex]\implies y-(-1)=-5(x-(-2))[/tex]

[tex]\implies y=-5(x+2)-1[/tex]

The velocity of the satellite in orbit around Earth is approximately 73.8856 x 10³m/s.

The velocity of a satellite in orbit around Earth can be found using the formula:

v = √(G * mp / r)

where G is the gravitational constant [tex](6.67 \times 10^{-11} Nm^2/kg^2)[/tex], mp is the mass of Earth ([tex]5.97 \times 10^{24}[/tex] kg), and r is the orbital radius of the satellite ([tex]7.3 \times 10^4[/tex] m).

Substituting the given values into the formula, we get:

[tex]v = \sqrt{(6.67 * 10^{-11} * 5.97 *10^{24} /(7.3*10^4)}[/tex]

v ≈ 73.8856 x 10³ m/s

Therefore, the velocity of the satellite in orbit around Earth is approximately 73.8856 x 10³m/s.

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Answer:

  37.5 laps

Step-by-step explanation:

If we assume that Bill can run at the same speed for 45 minutes, the number of laps will be proportional to the time.

  laps/time = 10 laps/(12 minutes) = n laps/(45 minutes)

  n laps = (10 laps)(45/12) = 37.5 laps . . . . . multiply by 45 minutes

Bill can run 37.5 laps in 45 minutes.

Step-by-step explanation:

[tex] \frac{2}{3} v + \frac{1}{6} = \frac{7}{9}v - \frac{5}{6} [/tex]

[tex] \frac{1}{6} + \frac{5}{6} = \frac{7}{9} v - \frac{2}{3} v[/tex]

[tex] \frac{6}{6} = ( \frac{7}{9} \times \frac{2}{3} )v[/tex]

[tex]1 = ( \frac{7}{9} - \frac{2 \times 3}{3 \times 3} )v[/tex]

[tex]1 = ( \frac{7}{9} - \frac{6}{9} )v[/tex]

[tex]1 = ( \frac{7 - 6}{9} )v[/tex]

[tex]1 = ( \frac{1}{9} )v[/tex]

[tex]v = 9[/tex]

I hope it helped you

Answer:

The correct answer is v=9

Step-by-step explanation:

The picture is attached.

Hope it helps you buddy!!!!!!

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Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

-1/7

Step-by-step explanation:

hope it helps:

Answer:

it is an regular polygon

Answer:

[tex]x = 60[/tex]

Step-by-step explanation:

Step 1:  Convert into an equation

Nine less than one forth of a number is 6

[tex]1/4x - 9 = 6[/tex]

Step 2:  Add 9 to both sides

[tex]1/4x - 9 = 6[/tex]

[tex]1/4x - 9 + 9= 6+ 9[/tex]

[tex]1/4x = 15[/tex]

Step 3:  Multiply both sides by 4

[tex]1/4x * 4 = 15 * 4[/tex]

[tex]x = 60[/tex]

Answer:  [tex]x = 60[/tex]

Answer:

Step-by-step explanation:

the diagonal is the hypotenuse of a 45-45-right triangle

the two legs are the same measure so the Pythagoreant theorem

2x²=24     divide by 2

x² = 12      square root

[tex]x = \sqrt{12} \\ \sqrt{4x3} \\2\sqrt{3}[/tex]

Answer:

The order in which you evaluated the expression was a bit incorrect but the outcome either way was 78. In some cases if you evaluate the expression incorrectly or not in order will result in you getting the wrong answer. If you want to see how to evaluate it correctly just look below.

Step-by-step explanation:

PEMDAS stands for

Parenthesis

Exponents

Multiplication and Division ( left to right )

Addition and Subtraction ( left to right )

And it basically tells us the order in which you are suppose to evaluate a mathematical expression.

It appears the expression you are given is 4² + ( 1 × 5 + 7² ) + 8

First we would do the operation inside of the parenthesis

so we have ( 1 × 5 + 7² )

Exponents come before multiplying and addition so first evaluate the exponent, 7² = 49

we now have ( 1 × 5 + 49 )

we next do the multiplication

( 5 + 49 )

Finally we do the addition

5 + 49 = 54.

We then replace the expression ( 1 × 5 + 7² )  with 54 as we just evaluated everything in the parenthesis

we get 4² + 54 + 8

So we just did the parenthesis and next is exponents so lets evaluate the exponents, 4² = 16

16 + 54 + 8

Next in PEMDAS is multiplication and division. There is none so we go to the next step.

We now do the addition and subtraction. ( going left to right )

16 + 54 + 8

first add 16 and 54

70 + 8

finally add 70 and 8

= 78

Notes:

For parenthesis you evaluate everything inside of the parenthesis before you remove the parenthesis

For multiplcation and division, you must evaluate in order going left to right, not doing so can result in a wrong answer.

The measure of angle BOC is 28.65°.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

The area of a triangle is,

Area = 1/2 × base × height

We have radius of the circle is 12 inches since OA = 12 which is the radius.

So, OB = 12 inches.

Height of the triangle AOB to the base OA = 12 sin (30°) = 12/2 = 6 inches

Area of ΔAOB = 1/2 × 12 × 6 = 36 inches²

Area of sector = (x/360°) πr², where r is the radius and x is the central angle formed.

Here x is ∠BOC.

Since area of sector = area of triangle,

(x/360°) π(12)² = 36

x π = 90°

x = 28.65°

Hence the required measure is 28.65°.

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Answer:

18

Step-by-step explanation:

double both numbers and add them together and thats how you find the answer to a rectangle

Answer:

J (−3, 5) → J ′(−7, 12) → J ″(−7, −12);

K (−1, 0) → K ′(−5, 7)→ K ″(−5, −7);

L (8, −4)→ L ′(4, 3)→ L ″(4, −3)

Step-by-step explantion

Use the translation vector <−4, 7>  to determine the rule for translation of the coordinates: (x,y)→(x+(−4),y+7).

Apply the rule to translate vertices J(−3,5), K(−1,0) and L(8,−4).

J(−3,5)→(−3+(−4),5+7)→J'(−7,12).

K(−1,0)→(−1+(−4),0+7)→K'(−5,7).

L(8,−4)→(8+(−4),−4+7)→L'(4,3).

To apply the reflection across x-axis use the rule for reflection: (x,y)→(x,−y).

Apply the reflection rule to the vertices of △J'K'L'.

J'(−7, 12)→J''(−7,−12).

K'(−5,7)→K''(−5,−7).

L'(4,3)→L''(4,−3).

Therefore,

J(−3,5)→J'(−7,12)→J''(−7,−12)K(−1,0)→K'(−5,7)→K''(−5,−7)

L(8,−4)→L'(4, 3)→L''(4,−3)

represents the translation of △JKL along vector <−4, 7>  and its reflection across the x-axis.

Answer:

Say your own opinion about your feelings on it

Answer:  This is an opion question you could just say how you feel about disney but if you dont know what to say I will tell you in the explanation.

Step-by-step explanation: Im happy that disney is taking over the franchise it is now very succesfull and i'll tell you what I like about it.

5) It is an escape from reality.

4) It is growing up with us.

3) It makes us happy.

2) It brings us back to our childhood.

1) We can share it with our families/friends.

There is also many more but these are my main.

Answer:

x=3

Step-by-step explanation:

....................

Answer:

x=3

Step-by-step explanation:

i did the edg test

Answer:

Step-by-step explanation:

Given :

x = -6

-7x + 6y = -18 ... i)

Putting the value of x in equation ...i)

=> -7 (-6) + 6y = -18

=> 42 + 6y = -18

=> 6y = -18 -42

=> 6y = - 60

=> y = -60/6

=> y = -10

The value of y = -10 and x = -6

Answer:

x= 4, y=6

Step-by-step explanation:

9x-9y = -18

9x=-18+9y

x=-2+y

-6(-2+y) + 9y = 6

-12-6y+9y=6

3y=18

y=6

9x -9(6)=-18

9x-54=-16

9x=36

x=4

Your answer is 2 hours and 40 minutes

Answer:

the icreace is 9.88

Step-by-step explanation:

Answer:

a) x-intercept is x=-4

Step-by-step explanation:

From y=log(x-h)+k, h is the value of transitioning between left or right.

Since x+4 makes it x-(-4) means x=-4

1:24 since this was asked a min ago

Answer:

the perimeter is the distance around a surface. so it's 4+4+8+5+1 = 22 m = C

Answer:

Option C, 22m

Step-by-step explanation:

Step 1:  Determine the perimeter

Finding the perimeter means that we need to add up all of the sides into one number which will give us the total length of the entire item.

4m + 4m + 8m + 5m + 1m

22m

Answer: Option C, 22m

Answer:

40 units

Step-by-step explanation:

-7 to 6 is 13 units and -3 to 4 is 7 units, it asks for perimeter so 13 x 2 + 7 × 2

Answer:

it would take about 4 days to complete

Answer:

binomial

Step-by-step explanation:

There are 2 variables.

One is 6x⁻³ the other is 3x.

Answer:

p = [tex]-\frac{15}{2}[/tex], p = [tex]\frac{17}{2}[/tex]

Step-by-step explanation:

1. Subtract 15 from both sides:

- |2p -1| = -16

2. Divide both sides by -1:

[tex]\frac{-|2p - 1|}{-1} = \frac{-16}{-1}[/tex]

|2p - 1| = 16

3. Apply the absolute value rule (If |u| = a, a > 0, then u = a, or u = -a)

2p - 1 = 16  or  2p - 1 = -16

4. Solve for the positive and negative intervals:

2p - 1+1 = 16+1

2p = 17

[tex]\frac{2p}{2} = \frac{17}{2}[/tex]

p = [tex]\frac{17}{2}[/tex]

2p - 1+1 = -16+1

2p = -15

[tex]\frac{2p}{2} = \frac{-15}{2}[/tex]

p = [tex]\frac{-15}{2}[/tex]

hope this helps!

Answer:

Step-by-step explanation:

15/2 = 7.5 and (7.5)^2 = 56.25  so

x^2 + 15x + 56.25 = 49 + 56.25

x^2 + 15x + 56.25 = 105.25.

Answer:

[tex]x^2+15x+\boxed{\dfrac{225}{4}}=\boxed{\dfrac{421}{4}}[/tex]

[tex]x^2+15x+\boxed{56.25}=\boxed{105.25}[/tex]

Step-by-step explanation:

General form of a quadratic equation: [tex]ax^2+bx+c[/tex]

When completing the square, first add the number that is the square of half of [tex]b[/tex].

Given equation:  [tex]x^2+15x=49[/tex]

Therefore, [tex]b=15[/tex]

[tex]\implies \left(\dfrac{b}{2}\right)^2=\left(\dfrac{15}{2}\right)^2=\dfrac{225}{4}[/tex]

So we need to add 225/4 to both sides of the equation:

[tex]\implies x^2+15x+\dfrac{225}{4}=49+\dfrac{225}{4}[/tex]

[tex]\implies x^2+15x+\boxed{\dfrac{225}{4}}=\boxed{\dfrac{421}{4}}[/tex]

In decimal form:

[tex]\implies x^2+15x+\boxed{56.25}=\boxed{105.25}[/tex]

To finish completing the square,

factor the left side of the equation:

[tex]\implies \left(x+\dfrac{15}{2}\right)^2=\dfrac{421}{4}[/tex]

Finally, subtract 421/4 from both sides:

[tex]\implies \left(x+\dfrac{15}{2}\right)^2-\dfrac{421}{4}=0[/tex]

In decimal form:

[tex]\implies (x+7.5)^2-105.25=0[/tex]

Polynomial are expression that have a leading degree of 3. The other polynomial function will be 3yz^2 – 3z^2 – 4y^4 - y + 3

Polynomial are expression that have a leading degree of 3. Given the following expression

Sum = –yz^2 – 3z^2 – 4y^4.

One of the polynomial = y – 4yz^2 – 3

Required

The other polynomial

Let the unknown polynomial be "a" such that:

a =  –yz^2 – 3z^2 – 4y^4 - (y – 4yz^2 – 3)

Expand

a =  –yz^2 – 3z^2 – 4y^4 - y + 4yz^2 + 3

a = 3yz^2 – 3z^2 – 4y^4 - y + 3

Hence the other polynomial function will be 3yz^2 – 3z^2 – 4y^4 - y + 3

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Answer: D. or 3yz^2-3z^2-5y+7

Step-by-step explanation: got it right on edge