T= 2pi times the sqrt of l/g (l=2.0m; g= 10m/s^2

Answer: Amount in 5 years( if compounded quarterly) = $11,768.40

Amount in 5 years( if compounded monthly = $11782.54

Step-by-step explanation:

Formula for accumulated amount in t years at annual rate of r% compounded quarterly: [tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]

Formula for accumulated amount in t years at annual rate of r% compounded monthly: [tex]A=P(1+\dfrac{r}{12})^{12t}[/tex], where P= principal amount.

Given: P= $9000, r= 5.4%= 0.054, t= 5 years

Amount in 5 years if compounded quarterly =[tex]9000(1+\dfrac{0.054}{4})^{4\times5}[/tex]

[tex]=9000(1.0135)^{20}\\\\=9000(1.30760044763)\approx11768.40[/tex]

i.e. Amount in 5 years( if compounded quarterly) = $11,768.40

Amount in 5 years if compounded monthly =[tex]9000(1+\dfrac{0.054}{12})^{12\times5}[/tex]

[tex]=9000(1.0045)^{60}\\\\=9000(1.309171267)\approx11782.54[/tex]

i.e.  Amount in 5 years( if compounded monthly = $11782.54

Answer:

it doesnt add up. the question doesnt make sense.

Step-by-step explanation:

Answer:

157

Step-by-step explanation:

To find the average score, add all individual scores and divide the sum by the number of individual scores.

She has 5 individual scores. Let's say her scores are A, B, C, D, and E.

average score = (A + B + C + D + E)/5

Now we plug in the average and the 4 known scores for A through D, and we solve for E.

average score = (A + B + C + D + E)/5

136.8 = (135 + 144 + 116 + 132 + E)/5

E = 157

Answer: 157

Answer:

y = 3 passes through (8, 3) and is therefore parallel to y = -2

Step-by-step explanation:

Any line parallel to y = -2 is a horizontal one, and it has the same slope (zero) as does y = -2.

We could invent the horizontal line y = 3 (which comes from the point (8, 3) and surmise that it is parallel to the given line y = -2.

Thus, y = 3 passes through (8, 3) and is therefore parallel to y = -2.

In the future, please share any answer choices that are give you.  Thank you.

Answer:

YES

Step-by-step explanation:

1 million minutes = 1.9 years

An average man can live upto 78 years.

So, an average man can easily live upto 1,000,000.

Answer:

There will be (365 x 24 x 60) minutes each year.

and that is 525600.

and 525600 x 78 is 40,996,800.

so, It is definitely more than 1 million minutes.

Hop it helps!

Bye!

Hello!

Answer:

[tex]\huge\boxed{\frac{12}{20}}[/tex]

To find the numerator and denominator, we can set up a proportion where:

x = denominator

x -8 = numerator

[tex]\frac{3}{5} = \frac{x-8}{x}[/tex]

Cross multiply:

[tex]3(x) = 5(x - 8)[/tex]

[tex]3x = 5x - 40[/tex]

Simplify:

[tex]3x - 5x = -40\\\\-2x = -40\\\\x = 20[/tex]

Substitute in this value of x to find the numerator and denominator:

[tex]\frac{(20) - 8}{(20)} = \frac{12}{20}[/tex]

Hope this helped you! :)

[tex] \LARGE{ \boxed{ \rm{ \orange{ Solution:}}}}[/tex]

Let the numerator be x

It is given that,

Then,

⇛ Denominator- 8 = x

⇛ Denominator = x + 8

According to condition -2)

⇛ Fraction = 3/5

⇛ x/x + 8 = 3/5

Cross multiplying,

⇛ 3(x + 8) = 5x

⇛ 3x + 24 = 5x

⇛ 24 = 5x - 3x

⇛ 24 = 24

Flipping it out,

⇛ 2x = 24

⇛ x = 24/2 = 12

Then,

⇛ x + 8 = 12 + 8 = 20

[tex] \large{ \therefore{ \boxed{ \rm{ \pink{Then, \: the \: fraction = \dfrac{12}{20} }}}}}[/tex]

━━━━━━━━━━━━━━━━━━━━

Answer:

[tex]log_{10}[/tex] 10000 = 4

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Here b = 10, n = 4 and x = 10000, thus

[tex]log_{10}[/tex] 10000 = 4 ← in logarithmic form

that is [tex]10^{4}[/tex] = 10000 ← in exponential form

Answer:

C) 640 strands of bacteria

Step-by-step explanation:

We are told in the question that the population doubles every 4 hours

Hence, formula to solve this question =

P(t) = Po × 2^t/k

From the question, we have the following information:

Beginning amount (Po) = 20 strands of bacteria

Rate(k) = 4 hours

Time(t) = 20 hours

Ending time (P(t)) = unknown

Ending amount = 20 × 2^20/4

= 20 × 2^5

= 20 × 320

= 640 strands of bacteria.

Therefore, the number of strands left after 20 hours is 640 strands of bacteria.

Answer:

the line of best fit can be approximated to:

y = -1.560 x + 22.105

Step-by-step explanation:

You are most likely expected to use a graphing tool are statistical program to calculate this. So enter the list of x-values separate from the list of y values and run the tool in linear regression mode.

Look at the attached image with the actual results including the line of best fit.

The equation can be written (rounding slope and y-intercept to 3 decimals) as:

y = -1.560 x + 22.105

Answer:

AB = 16 Units

Step-by-step explanation:

In the given figure, CD is the diameter and AB is the chord of the circle.

Since, diameter of the circle bisects the chord at right angle.

Therefore, AE = 1/2 AB

Or AB = 2AE...(1)

Let the center of the circle be given by O. Join OA.

OA = OD = 10 (Radii of same circle)

Triangle OAE is right triangle.

Now, by Pythagoras theorem:

[tex] OA^2 = AE^2 + OE^2 \\

10^2 = AE^2 + 6^2 \\

100= AE^2 + 36\\

100-36 = AE^2 \\

64= AE^2 \\

AE = \sqrt{64}\\

AE = 8 \\

\because AB = 2AE..[From \: equation\: (1)] \\

\therefore AB = 2\times 8\\

\huge \purple {\boxed {AB = 16 \: Units}} [/tex]

Answer:

Rational

Step-by-step explanation:

Rational number consists of

-5/6 is a Fraction and we can also simply it to a Decimal.

Hope this helps ;) ❤❤❤

Answer:

(0,2)

Step-by-step explanation:

the point where Oy intercepts the graph has x=0 and y= f(0)

so this is (0,2)

Answer:

Step-by-step explanation:

Given that:

[tex]T(x,y) = \dfrac{100}{1+x^2+y^2}[/tex]

This implies that the level curves of a function(f) of two variables relates with the curves with equation f(x,y) = c

here c is the constant.

[tex]c = \dfrac{100}{1+x^2+2y^2} \ \ \--- (1)[/tex]

By cross multiply

[tex]c({1+x^2+2y^2}) = 100[/tex]

[tex]1+x^2+2y^2 = \dfrac{100}{c}[/tex]

[tex]x^2+2y^2 = \dfrac{100}{c} - 1 \ \ -- (2)[/tex]

From (2); let assume that the values of c > 0 likewise c < 100, then the interval can be expressed as 0 < c <100.

Now,

[tex]\dfrac{(x)^2}{\dfrac{100}{c}-1 } + \dfrac{(y)^2}{\dfrac{50}{c}-\dfrac{1}{2} }=1[/tex]

This is the equation for the  family of the eclipses centred at (0,0) is :

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]

[tex]a^2 = \dfrac{100}{c} -1 \ \ and \ \ b^2 = \dfrac{50}{c}- \dfrac{1}{2}[/tex]

Therefore; the level of the curves are all the eclipses with the major axis:

[tex]a = \sqrt{\dfrac{100 }{c}-1}[/tex]  and a minor axis [tex]b = \sqrt{\dfrac{50 }{c}-\dfrac{1}{2}}[/tex]  which satisfies the values for which 0< c < 100.

The sketch of the level curves can be see in the attached image below.

Answer:

Step-by-step explanation:

Given that:

[tex]x = 5 + In (t)[/tex]

[tex]y = t^2+2[/tex]

At point (5,3)

To find an equation of the tangent to the curve at the given point,

By without eliminating the parameter

[tex]\dfrac{dx}{dt}= \dfrac{1}{t}[/tex]

[tex]\dfrac{dy}{dt}= 2t[/tex]

[tex]\dfrac{dy}{dx}= \dfrac{ \dfrac{dy}{dt} }{\dfrac{dx}{dt} }[/tex]

[tex]\dfrac{dy}{dx}= \dfrac{ 2t }{\dfrac{1}{t} }[/tex]

[tex]\dfrac{dy}{dx}= 2t^2[/tex]

[tex]\dfrac{dy}{dx}_{ (5,3)}= 2t^2_{ (5,3)}[/tex]

t²  + 5 = 4

t² = 4 - 5

t² = - 1

Then;

[tex]\dfrac{dy}{dx}_{ (5,3)}= -2[/tex]

The equation of the tangent  is:

[tex]y -y_1 = m(x-x_1)[/tex]

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

y - 3 = -2x +10

y = -2x + 7

y = 2x - 7

By eliminating the parameter

x = 5 + In(t)

In(t)  = 5 - x

[tex]t =e^{x-5}[/tex]

[tex]y = (e^{x-5})^2+5[/tex][tex]y = (e^{2x-10})+5[/tex]

[tex]\dfrac{dy}{dx} = 2e^{2x-10}[/tex]

[tex]\dfrac{dy}{dx}_{(5,3)} = 2e^{10-10}[/tex]

[tex]\dfrac{dy}{dx}_{(5,3)} = 2[/tex]

The equation of the tangent  is:

[tex]y -y_1 = m(x-x_1)[/tex]

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

y - 3 = -2x +10

y = -2x + 7

y = 2x - 7

Answer:

I was surprised that a plane parallel to the vertical axis creates a rectangular cross-section. I guess I was expecting to always see a circle or a circular shape in the cross-section, not purely straight edges as seen in a rectangle.

Step-by-step explanation:

edmentum answer

Answer:

The circles were the least surprising because the base of the cone is a circle. The curves that look like bent rods were the most surprising because I have not seen geometric figures like those before.

Step-by-step explanation:

Step-by-step explanation:

thats shape is a delta

:)

Answer:

arrow head

Step-by-step explanation:

Answer:

(6, 4 )

Step-by-step explanation:

Given the 2 equations

2x - 10y = - 28 → (1)

- 10x + 10y = - 20 → (2)

Adding (1) and (2) term by term eliminates the term in y, that is

- 8x = - 48 ( divide both sides by - 8 )

x = 6

Substitute x = 6 into either of the 2 equations and evaluate for y

Substituting into (1)

2(6) - 10y = - 28

12 - 10y = - 28 ( subtract 12 from both sides )

- 10y = - 40 ( divide both sides by - 10 )

y = 4

Solution is (6, 4 )

Answer:

A. The theoretical probability of spinning any one of the five colors is 20%.

C. The theoretical probability of spinning green is equal to the experimental probability of spinning green.

E. If Yuri spins the spinner 600 more times and records results, the experimental probability of spinning orange will get closer to the theoretical probability of spinning orange.

These are the answers on edg 2020, just took the test.

Step-by-step explanation:

Answer:

a, c, e,

Step-by-step explanation:

:)

Answer:

  y = -4x -6

Step-by-step explanation:

The given segment has a rise if 1 for a run of 4, so a slope of ...

  m = rise/run = 1/4

The desired perpendicular has a slope that is the negative reciprocal of this:

  m = -1/(1/4) = -4

A point that has a rise of -4 for a run of 1 from the given midpoint is ...

  (-1, -2) +(1, -4) = (0, -6) . .  . . . . . the y-intercept of the bisector

So, our perpendicular bisector has a slope of m=-4 and a y-intercept of b=-6. Putting these in the slope-intercept form equation, we find the line to be ...

  y = mx +b

  y = -4x -6

The equation of the line in slope intercept form is y = -4x -6

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the y intercept.

Two lines are perpendicular of the product of the slope is -1

The line passes through the point (-5, -3) and (3, -1). Hence:

Slope = (-1 - (-3)) / (3 - (-5)) = 1/4

The slope of the line perpendicular to this line is -4 (-4 *  1/4 = -1).

The line passes through (-1, -2), hence:

y - (-2) = -4(x - (-1))

y + 2 = -4(x + 1)

y = -4x -6

The equation of the line in slope intercept form is y = -4x -6

Find out more on linear equation at: https://brainly.com/question/14323743

Answer:

Step-by-step explanation:

Let the equation of a polynomial is,

[tex]y=(x-a)^2(x-b)^1(x-c)^3[/tex]

Zeroes of this polynomial are x = a, b and c.

For the root x = a, multiplicity of the root 'a' is 2 [given as the power of (x - a)]

Similarly, multiplicity of the roots b and c are 1 and 3.

Effect of multiplicity on the graph,

If the multiplicity of a root is even then the graph will touch the x-axis and if it is odd, graph will cross the x-axis.

Therefore, graph will cross x -axis at x = b and c while it will touch the x-axis for x = a.

In this question,

The given polynomial is,

[tex]y=(x-1)^3(x-2)^1(x-4)^1(x-6)^4[/tex]

Degree of the polynomial = 3 + 1 + 1 + 4 = 9

The graph of the function will cross through the x-axis at x = 1, 2, 4 only, The graph will touch to the x-axis at 6 only.

At the zero of 2 , the graph of the function will CROSS the x-axis.

Answer:

Total interest = $3.41

Step-by-step explanation:

Since she can pay $72 each month we can divide the payments on monthly basis till all the money is paid.

The annual interest rate is 24.7%, so the monthly rate will be 24.7 ÷ 12= 2.058%

For the first month

With payment of $72 the remaining amount will be 189.56 - 72 = $117.56

Interest paid will be 0.02058 * 117.56 = $2.42

Total amount owed now will be 117.56 + 2.42 = $119.98

For the second month another payment of $72 is made

The remaining will be 119.98 - 72 = $47.98

Interest charged will be 0.02058 * 47.98 = $0.99

The amount owed will be 47.98 + 0.99 = $48.97

In the third month she will pay the remaining $47.98 which is within her monthly limit

Total interest paid = Sum of Amount paid each month - Initial amount spent

Total interest = {(72 * 2) +48.97} - 189.56 = $3.41

Answer:

1 dz  to make 12 muffins

1 7/24 dz to make 15.5 muffins

Step-by-step explanation:

How many dozen (dz) eggs are needed to make 12 muffins?

See answer options, we are looking for an option with dz indicated along with the number:

The correct option is:

So 1 dozen of eggs required for 12 muffins, that is 12 eggs for 12 muffins or 1 egg for 1 muffin or 1/12 dz per muffin

To get 15.5 muffins:

Or in dozens:

Answer:

[tex]\boxed{ (x - 2)(x - 7)}[/tex]

Step-by-step explanation:

Hey there!

To factor,

[tex]x^2-7x+10[/tex]

We need 2 numbers that multiply to get 10 and add to get -7 which is,

-2 and -5.

-2*-5 = 10

-2x + -5x = -7x

x*x=x^2

Factored - (x - 2)(x - 7)

Hope this helps :)

Answer:

(a) 36.36%

(b) 0.36%

(c) 0.06%

Step-by-step explanation:

Given that the time intervals measured with a stopwatch have an uncertainty of about 0.2 s.

We want to know what is the percent uncertainty of a hand-timed measurement of:

(a) 5.5 s

Percentage = (0.2/5.5) × 100

≈ 36.36%

(b) 55 s

Percentage = (0.2/55)×100

≈ 0.36%

(c) 5.5 min

5.5 min = 5.5 × 60 s

= 330 s

Percentage = (0.2/330)×100

≈ 0.06%

Answer: 512 cm³

Explanation: Since the length, width, and height of a cube are all equal,

we can find the volume of a cube by multiplying side × side × side.

So we can find the volume of a cube using the formula v = s³.

In the cube in this problem, we have a side length of 8 cm.

So plugging into the formula, we have (8 cm)³

or (8 cm)(8 cm)(8 cm), which is 512 cm³.

So the volume of the cube is 512 cm³.

Answer:512[tex]cm^{3}[/tex]

Step-by-step explanation:

All sides are equal. Hence, volume =[tex]l^{3} = 8^{3} =512cm^{3}[/tex]

Answer:

174 cm²

Step-by-step explanation:

The figure given is a prism with isosceles trapezoid as base.

Its surface area can be calculating the area of each face that makes up the prism, and summing all together.

There are 6 faces. Their dimensions and areas can be calculated as follows:

2 isosceles trapezium:

It has 2 parallel bases, (a and b), of 4cm and 6cm,

Height (h) = 2.8cm

Area = ½(a+b)*h

Area = ½(4+6)*2.8

Area = ½(10)*2.8 = 5*2.8 = 14 cm²

4 rectangles of different dimensions:

Rectangle 1 (down face): l = 10cm, b = 4cm

Area = 10*4 = 40 cm²

Rectangle 2 and 3 (side faces): l = 10cm, b = 3cm

Area = 2(l*b) = 2(10*3) = 60cm²

Rectangle 4 (top face) = l = 10cm, b = 6cm

Area = 10*6 = 60cm²

Surface area of the figure = 14 + 40 + 60 + 60 = 174 cm²

Answer:

Answer is attached below :)

Answer:

5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: 15m²-2m+1

Step-by-step explanation:

To simplify, you want to combine like terms.

15m²-2m+1

Answer:

[tex]\huge\boxed{15m^2-2m+1}[/tex]

Step-by-step explanation:

[tex]6m^2-5m-3+3m+4+9m^2\\\\\text{combine like terms}\\\\=(6m^2+9m^2)+(-5m+3m)+(-3+4)\\\\=(6+9)m^2+(-5+3)m+1\\\\=15m^2-2m+1[/tex]

Answer:

X is uniformly distributed.

Step-by-step explanation:

Uniform Distribution:

This is the type of distribution where all outcome of a certain event have equal likeliness of occurrence.

Example of Uniform Distribution is - tossing a coin. The probability of getting a head is the same as the probability of getting a tail. The have equal likeliness of occurrence.

Answer:

10,000

Step-by-step explanation:

The answer is 10*10*10*10 = 10,000

When the power is positive and in the numerator, the number of places moved or zeros added = the power. This has a power of 4. You add 4 zeros to 1 to get the answer.