Find the area of the below shape in mm^2

Find The Area Of The Below Shape In Mm^2

Answers

Answer 1

Answer:

(1600 + (3200π)/3) mm²

Step-by-step explanation:

1 cm = 10mm. (1cm)² = (10²)mm = 100mm²

area of rectangle = 2 X 8 = 16cm² = 1600mm²

radius of circle = 8cm.

area of full circle would be = π r² = π (8)² = 64π cm²

360° in full circle

area of triangular sector = (60/360) X (64π) = (32π)/3 cm² = (3200π)/3 mm²

total area = (1600 + (3200π)/3) mm²


Related Questions

Are any of these numbers a solution to the
equation x2 = 2?
• 1
2
3
7
5

Answers

The number 1 is a solution to the equation 2x = 2.

We have the Equation

2x = 2

Now, dividing both side by 2 we get

2x/2 = 2/2

x = 1

So, the number 1 is a solution to the equation 2x = 2.

When x is 1, the left side of the equation becomes 2(1) = 2, which is equal to the right side of the equation.

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ1

Richard is selling bundles of wood. The total weight of the wood he is selling is 3,941 pounds, and there are 70 bundles. If each bundle weighs the same, how much does one bundle of wood weigh?

Answers

Answer:

Each bundle of wood weighs approximately 56.3 pounds.

Explanation:

To determine the weight of one bundle, we divide the total weight of all the bundles by the number of bundles. Thus, the weight of one bundle is equal to 3,941 pounds divided by 70 bundles, which is approximately 56.3 pounds. Therefore, each bundle of wood weighs approximately 56.3 pounds.

WILL MARK BRAINLIEST


An account invested in a money market fund grew from $73,310.56 to $73,608.40 in a month. What was the interest
rate to the nearest tenth?
What was the interest rate?
%
(Do not round until the final answer. Then round to the nearest tenth as needed.)

Answers

Answer:

1 - ($73,310.56/$73,608.40)^12 = .047

= 4.7%

Need help with this ASAP

Answers

a) The solution to the equation is given as follows: x = -12.

b) The solution to the inequality is given as follows: -12 ≤ x < 7.

How to solve?

The equation for this problem is given as follows:

f(x) = g(x).

The point of intersection of the functions f(x) and g(x) is given as follows:

(-12, -7).

Hence the solution is given as follows:

x = -12.

For the inequality, we have that:

f(x) = g(x) at x = -12.f(x) = h(x) at x = 7.

Hence the solution to the inequality is given as follows:

-12 ≤ x < 7.

More can be learned about solutions of equations at https://brainly.com/question/13729904

#SPJ1

A bag contains red and yellow cubes in the ratio of 3:4. What is the probability that a red cube is picked at random from the bag?

Answers

Answer:

Step-by-step explanation:

ok Let me explain :

Your argument of saying that the prob is 1/2 because there are 2 colors.

Had there been red, blue and green cubes you would have ended up calculating the prob as 1/3.

But this concept is wrong.

Prob is the chance occurrence of an event given many such events.

here since we have 4 cubes , the chance to pick any one is equal and that is 1/4

chance of picking a blue cube (1/4)*1 ....since we have one blue cube

chance of picking a red cube (1/4)*3 ....since we have one red cubes

You can think in a simple manner also, when something is greater in number (3>1) , the chances to pick that would obviously be more , so the probability cannot be half.

Find the x intercepts of the parabola with vertex (-1,2) and y intercept (0,3).

Answers

The x intercepts of the parabola are -1 + i√(2) and -1 - i√(2)

How to find the x intercepts of the parabola

Using the equation:

y = a(x - h)²+ k

where (h, k) is the vertex of the parabola

y = a(x  + 1)²+ 2

solving for a at the y intercept

y = a(x  + 1)²+ 2

3 = a(0  + 1)²+ 2

a = 1

To find the x intercepts we need to set y = 0 and solve for x:

0 = (x  + 1)²+ 2

x + 1 = ±√(-2)

x + 1 = ±i√(2)

x = -1 ± i√(2)

Learn more about parabola at

https://brainly.com/question/29635857

#SPJ1

The length of a rectangle is 50 meters and the width is 24 meters. Find the perimeter and the area.

Answers

Answer:

[tex]Area = 1200m^2[/tex]

[tex]Perimeter = 148m[/tex]

Step-by-step explanation:

To find the area, just multiply the length by the width. In fact, we have a simple formula for this:

[tex]A(area) = lw[/tex]

[tex]l(length) = 50[/tex]

[tex]w(width)= 24[/tex]

Now, we need to plug in our values:

[tex]A(area)= 50*24[/tex]

Simplify:

[tex]A(area) = 1200[/tex]

Therfore, the area of the rectangle is:

[tex]1200m^2[/tex]

Now, lets move on to the perimeter(again, we have a simple formula!):

[tex]P(perimeter) = 2(l+w)[/tex]

Plug in our values from before:

[tex]P(perimeter)= 2(50 + 24)[/tex]

Simplify:

[tex]P(perimeter)= 2(74)[/tex]

Multiply it out:

[tex]P(perimeter) = 148[/tex]

Therfore, the perimeter of your rectangle is 148 m

Always remember to include the proper units and format your work well to minimize mistakes and leave less room for error.

I hope this helped!

~~~Harsha~~~

Reflection over the x-axis of the point ( − 3 , − 7 ) (−3,−7)

Answers

The image of the point (-3, -7) after a reflection over the x-axis is (-3, 7)

Calculating the image of the point after a reflection over the x-axis?

From the question, we have the following parameters that can be used in our computation:

Point = (-3, -7)

Transformation rule

A reflection over the x-axis

The rule of a reflection over the x-axis is

(x, y) = (x, -y)

Using the above as a guide, we have the following:

Image = (-3, 7)

Hence the image of the point after a reflection over the x-axis is (-3, 7)

Read more about transformation at

brainly.com/question/27224272

#SPJ1

A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 13 millimeters long, and the height of the equilateral triangle is 11.3 millimeters. The pyramid's slant height is 17 millimeters. What is its surface area?

Answers

The surface area of the Triangular pyramid is approximately 331.3 square millimeters.

The surface area of a triangular pyramid, we need to calculate the area of its base and the area of each triangular face, then add them together. The formula for the surface area of a triangular pyramid is:

SA = (1/2)P*l + B

where SA is the surface area, P is the perimeter of the base, l is the slant height of each triangular face, and B is the area of the base.

In this case, the base of the triangular pyramid is an equilateral triangle with legs of 13 millimeters and a height of 11.3 millimeters. To find the area of the base, we can use the formula for the area of an equilateral triangle:

B = (sqrt(3)/4)*a^2

where a is the length of a side of the equilateral triangle.

Substituting a = 13 into the formula, we get:

B = (sqrt(3)/4)*13^2

B = (sqrt(3)/4)*169

B = 43.7 square millimeters (rounded to one decimal place)

Next, we can find the perimeter of the base:

P = 3a

P = 3*13

P = 39 millimeters

Now we can use the formula for the surface area of a triangular pyramid:

SA = (1/2)P*l + B

Substituting P = 39, l = 17, and B = 43.7, we get:

SA = (1/2)*39*17 + 43.7

SA = 331.3 square millimeters (rounded to one decimal place)

Therefore, the surface area of the triangular pyramid is approximately 331.3 square millimeters.

To know more about  Triangular pyramid.

https://brainly.com/question/30615121

#SPJ11

9) The graph shows the amount of money Lucy makes for babysitting. a) Using the graph, give an equation in the form of d=rh , where d is dollars,r is rate, and h is hours, that accurately describes this situation.

Answers

The linear equation that gives the graph expression is: d = 2h

How to solve Linear equation Graphs?

The general formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

We are given the equation as: d = rh

where:

d is dollars

r is rate

h is hours,

From the graph, we can find the rate by finding the slope of the graph.

(1, 4) and (2, 8)

Thus:

Slope = (8 - 4)/(2 - 1)

Slope = 2

Thus, r = 2

Then d = 2h

Read more about Linear Equation Graphs at: https://brainly.com/question/28732353

#SPJ1

Use the functions s(x) and c(x) to determine each value.
s(5)

Answers

The Trigonometric functions sine (s) and cosine (c) c(5) ≈ -0.2837.

The trigonometric functions sine (s) and cosine (c). To determine s(5), we need to know the value of sine of 5 radians.

We can use a scientific calculator or a trigonometric table to find this value.

Using a calculator, we can simply enter "sin(5)" and get the answer. On most calculators, the answer will be displayed as a decimal.

Using a trigonometric table, we can look up the value of sine for 5 radians. The table will list the sine of angles in degrees, so we need to convert 5 radians to degrees first. One radian is equal to 180/π degrees, so

5 radians = (5 × 180)/π degrees ≈ 286.48 degrees

Looking up the sine of 286.48 degrees in the table, we get:

sin(286.48°) ≈ -0.9589

Therefore, s(5) ≈ -0.9589.

To determine c(5), we need to know the value of cosine of 5 radians.

We can again use a calculator or a trigonometric table to find this value.

Using a calculator, we can enter "cos(5)" to get the answer.

Using a trigonometric table, we can look up the cosine of 5 radians. Since we have already converted 5 radians to degrees, we can simply look up the cosine of 286.48 degrees in the table. We get:

cos(286.48°) ≈ -0.2837

Therefore, c(5) ≈ -0.2837.

To know more about Trigonometric functions.

https://brainly.com/question/25618616

#SPJ11

A retirement account has a balance of $300,000. You want to receive monthly payments(withdrawals) from the account for a total of 25 years. The retirement account earns 4% interest. How much will you be able to receive each month?

Answers

The monthly payments you can withdraw from the retirement account is $1,583.4.

What is the amount received each month?

The monthly payments you can withdraw from the retirement account, is calculated as;

PV = Px [(1 - (1 + r)⁻ⁿ) / r]

where;

PV is the present value of the annuity P is the monthly payment you want to receiver  is the interest rate per period n is the total number of periods

The total number of periods = 25 years x 12 months/year = 300 months

PV = P x [(1 - (1 + r)⁻ⁿ) / r]

$300,000 = P x [(1 - (1 + 0.04/12)⁻³⁰⁰) / (0.04/12)]

$300,000 = P x 189.47

P = $300,000 / 189.47

P= $1,583.4

Learn more about present value here: https://brainly.com/question/20813161

#SPJ1

Simplify the following fraction:

x² + x -6 / x²-9


pls help asap​

Answers

Answer:

The answer is located inside the file sent below

Find dx/dt when x = e^6t

Answers

dx/dt = 6e^6t
The derivative of the exponent and e^6t

Could you help answer this step by step please?

Answers

The linear function giving the volume of the balloon after t seconds is given as follows:

V(t) = 4 + 0.5t.

The time that it takes to fill the balloon is given as follows:

24 seconds.

How to define a linear function?

The slope-intercept representation of a linear function is given by the equation shown as follows:

y = mx + b

The coefficients m and b have the meaning presented as follows:

m is the slope of the function, representing the increase/decrease in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, it is the value of y when the graph of the function crosses or touches the y-axis.

The slope and the intercept for this problem are given as follows:

m = 0.5 -> volume increases by 0.5 ft³/s.b = 4 -> initial volume of the balloon.

Hence the linear function giving the volume of the balloon after t seconds is given as follows:

V(t) = 4 + 0.5t.

The total capacity is of 16 ft³, hence the time needed to fill the balloon is obtained as follows:

16 = 4 + 0.5t

0.5t = 12

t = 12/0.5

t = 24 seconds.

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

2
S17
3
Check
5
7
(about 89%) of the
(a) According to Chebyshev's theorem, at least
lifetimes lie between] hours and hours. (Round your answer to the
nearest whole number.)
(b) According to Chebyshev's theorem, at least (Choose one) of the
lifetimes lie between 746 hours and 1110 hours.
BIG Corporation produces just about everything but is currently interested in the lifetimes of its batteries. To investigate its new line of Ultra batteries, BIG
randomly selects 1000 Ultra batteries and finds that they have a mean lifetime of 928 hours, with a standard deviation of 91 hours. Suppose that this mean and
standard deviation apply to the population of all Ultra batteries. Complete the following statements about the distribution of lifetimes of all Ultra batteries.
Search
X
10
3
11
12
13
Save For Later
Submit As
© 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center |

Answers

a) According to Chebyshev's Theorem, at least 89% of the lifetimes are between 655 hours and 1201 hours.

b) According to Chebyshev's theorem, at least 75% of the lifetimes lie between 746 hours and 1110 hours.

What does Chebyshev’s Theorem state?

When the distribution is not normal, Chebyshev's Theorem is used. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100\left(1 - \frac{1}{k^{2}}\right)[/tex].

The lifetimes within 2 standard deviations of the mean are given as follows:

928 - 2 x 91 = 746 hours.928 + 2 x 91 = 1110 hours.

The lifetimes within 3 standard deviations of the mean are given as follows:

928 - 3 x 91 = 655 hours.928 + 3 x 91 = 1201 hours.

More can be learned about Chebyshev's Theorem at https://brainly.com/question/2927197

#SPJ1

48+24x3-x+10x4-5x2 in standard form

Answers

The Standard form of the expression is 10x^4 + 24x^3 - 5x^2 - x + 48.

To write an expression in standard form, we need to arrange the terms in descending order of degree and combine like terms.

The given expression is:

48 + 24x3 - x + 10x4 - 5x2

First, we arrange the terms in descending order of degree:

10x4 + 24x3 - 5x2 - x + 48

Next, we combine the like terms:

10x4 + 24x3 - 5x2 - x + 48 = 10x^4 + 24x^3 - 5x^2 - x + 48

Therefore, the standard form of the expression is 10x^4 + 24x^3 - 5x^2 - x + 48.

To know more about  Standard form.

https://brainly.com/question/19169731

#SPJ11

Which translation moves a triangle 6 units to the right and 3 units down?

Answers

Answer:

A translation of (x+6, y-3)

Step-by-step explanation:

X goes left or right, while Y goes up or down. So, to move the triangle 6 units to the right, we take our current x coordinate, and add 6 to it.

In a recent election, there were six candidates and 3200 total votes. The table below summarizes the votes by candidate. This information is also presented as a
circle graph.
Find the central angle measure, xº, for the Bowerman slice in the circle graph. Do not round.
Candidate
Mendez
Watkins
Choi
Nguyen
DeWitt
Bowerman
Number
of Votes
864
384
736
704
288
224
Choi
Watkins
Nguyen
Mendez
Bowerman
DeWitt
Español
111
K

Answers

The measure of x is 25.2 degree

Given that,

Total number of votes = 3200

Bowerman's share = 224

Now the percentage of  Bowerman's  share = (224/3200)x100

                                                                         = 7%

Now we know that.

The complete angle of circle is 360 degree.

Therefore the value of x shown in the figure is,

x = 7% 360

  = (7 x 360)/100

  = 25.2 degree

Therefore,

⇒ x  = 25.2 degree

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ1

10. A plane is flying from Winnipeg to Calgary against a strong headwind of 50 km/hr. The plane
1/2 takes hour longer for this flight than it would take in calm air. If the distance from Winnipeg to
Calgary is 1200 km, what is the speed of the plane in calm air, to the nearest kilometer per hour?

Answers

The speed of the plane in calm air is 372 km/h

Given that a plane is travelling from Winnipeg to Calgary against a 50 km/hr headwind.

This flight takes half an hour longer than it would in calm air.

The distance between Winnipeg and Calgary is 1200 km.

Since we know that,

Speed may be defined as the distance travelled by an item in relation to the time it takes to travel that distance.

In other words, it measures how rapidly an item travels but does not provide direction. The term "velocity" refers to the combination of direction and speed.

The speed is defined by the rate of distance.

We must determine the plane's speed in calm air.

xy=1200

(x-50)(y+1/2) =1200

x² - 50 x-12000=0

By using quadratic formula.

x=372 as x>0

Hence, 372 km/h is the speed of the plane in calm air

To learn more on Speed click:

brainly.com/question/28224010

#SPJ1

If a rectangular container is 25cm by 37cm by 21cm how much does it overflow

Answers

If a rectangular container is 25cm by 37cm by 21cm, then it will overflow after reaching the volume of 19425 cm³.

To know the volume after which the container will overflow, first we have to calculate the volume it can contain.

As, Volume of cuboid= length × breadth × height

So, Volume of rectangular container = 25 × 37 × 21 cm³

Volume = 19425 cm³

So, volume of rectangular container whose dimensions are  25cm by 37cm by 21cm is 19425 cm³ and it will overflow after reaching this volume.

To learn more about volume of rectangular container :

https://brainly.com/question/31013436

The figure shows the dimensions for a package to be shipped.



A trapezoidal prism. The front and back are trapezoids.The distance from the trapezoidal front to the trapezoidal back is 15 inches.
The slant is on the right side. The Height on the left is 6 inches, On the top, the width from the left to the top of the slanted side is 4 inches. The distance of the slant from top to bottom is 10 inches. The entire width of the base from the left to right (that is, from the left side of 6 inches to the bottom of the slant) is 12 inches.



What is the minimum amount of wrapping paper, in square inches, needed to cover the package?

Answers

The minimum amount of wrapping paper that is needed to cover the package is 576 square inches.

How to calculate the total surface area of a trapezoidal prism?

In Mathematics and Geometry, the total surface area of a trapezoidal prism can be calculated and determined by using this mathematical equation or formula:

Total surface area of a trapezoidal prism, TSA = (a + b)h + (a + b + c + d)l

Where:

TSA represent the total surface area of a trapezoidal prism.l represent the length of a trapezoidal prism.a, b, c, d represent the base edges of a trapezoidal prism.h represent the height of a trapezoidal prism.

By substituting the given parameters into the total surface area of a trapezoidal prism, we have:

TSA = [(12 + 4) × 6/2] × 2 + [(12 × 15) + (10 × 15) + (4 × 15) + (9 × 15)]

TSA = 96 + 180 + 150 + 60 + 90

TSA = 576 square inches.

Read more on trapezoidal prism here: https://brainly.com/question/14458219

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Number 5 Please help with it.

Answers

this photo is not clear.Am sorry

HOMEWORK HELP PLEASE!!!! ​

Answers

The y-intercept of the graph of 3x + y = 6 is (0,

A graph of 3x + y = 6 is shown in the image below.

A graph of x + y = 4 is shown on the same grid in the image below.

A solution to the simultaneous equations is (1, 3).

What is y-intercept?

In Mathematics, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear equation or function, generally occur at the point where the value of "x" is equal to zero (x = 0).

Based on the information provided about the equation, the y-intercept can be calculated as follows:

3x + y = 6

y = -3x + 6

f(0) = -3(0) + 6

f(0) = 0 + 6

f(0) = 6.

Based on the graph shown (see attachment), we can logically deduce that the solution for this system of linear equations is the point of intersection of each lines on the graph, which is given by the ordered pair (1, 3).

Read more on solution and equation here: brainly.com/question/25858757

#SPJ1

Find the area of the shaded region. Round your answer to the nearest hundredth. A circle and two triangles drawn inside it. The two circles are congruent and share a common side. This common side is the diameter of circle. The third vertex of both triangles lie on the circle. The lengths of sides apart from diameter are labeled 3 meters and 4 meters. The region inside circle and outside triangles is shaded. The area is about __square meters.

Answers

Answer: 7.635 square meters

Step-by-step explanation:

Both triangles have the diameter as one of their sides and they both have a vertex on the circumference of the circle. Thus, the two triangles are right triangles, and the hypotenuse of the triangles is the diameter.

Use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]

Square root both sides to isolate c (hypotenuse/diameter): [tex]c=\sqrt{a^2+b^2}[/tex]

Plug in the values of a and b to calculate c: [tex]c=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5[/tex]

The diameter of the circle is 5 meters, so the radius of the circle is 2.5 meters.

Plug in the radius into the equation for the area of a circle: Area = [tex]\pi r^2=\pi *2.5^2=6.25\pi[/tex] square meters.

The equation for the area of a triangle is [tex]\frac{1}{2}bh[/tex], where b is the base of the triangle and h is the height of the triangle.

Since we have two congruent triangles, the total area of the two triangles combined is simply b*h.

Plug in the values of b and h to get b*h = 3*4 = 12 square meters.

Subtract the total area of the two triangles combined from the area of the circle to get the area of the shaded region: [tex]6.25\pi - 12=7.635[/tex] square meters.

tions using any method: word problems WHE
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Clarksville City Cafe recently introduced a new flavor of coffee. They served 60 grande cups
and 59 jumbo cups of the new coffee today, which equaled a total of 61,644 grams. The day
before, 60 grande cups and 74 jumbo cups were served, which used a total of 71,184 grams.
How much coffee is required to make each size?
There are 968
grams in a grande cup of coffee and
Submit
grams in a jumbo one.

Answers

For this reason, 968 grams of coffee are needed to make a grande cup, and 998 grams are needed to make a jumbo cup.

Let's call the amount of coffee required to make a grande cup "g" and the amount of coffee required to make a jumbo cup "j". We want to find the values of g and j.

From the first piece of information, we know that:

60g + 59j = 61,644

From the second piece of information, we know that:

60g + 74j = 71,184

We can solve this system of equations by using the method of elimination. To eliminate g, we can subtract the first equation from the second equation:

(60g + 74j) - (60g + 59j) = 71,184 - 61,644

Simplifying, we get: 15j = 9540

Dividing by 15, we get: j = 636

Now that we know j, we can substitute it into either equation to find g. Let's use the first equation:

60g + 59(636) = 61,644

Simplifying, we get: 60g = 59,880

Dividing by 60, we get: g = 998

Therefore, the amount of coffee required to make a grande cup is 968 grams, and the amount of coffee required to make a jumbo cup is 998 grams.

Learn more about the System of equations here:

https://brainly.com/question/12628931

#SPJ1

Write an expression to represent:
5 times the sum of x and 3

Answers

Answer:

5(x + 3)

Step-by-step explanation:

the sum of x and 3 is x + 3, then multiply by 5 to obtain

5(x + 3)

Prepare a contribution margin income statement.
Naomi's Quilt Shoppe sells homemade Amish quilts. Naomi buys the quilts from local
Amish artisans for $290 each, and her shop sells them for $490 each. She also pays a
sales commission of 8% of sales revenue to her sales staff. Naomi leases her country-
style shop for $1,300 per month and pays $1,800 per month in payroll costs in addition
to the sales commissions. Naomi sold 95 quilts in February,

Answers

The operating charges, including parcel  expenditure and payroll costs( including sales commissions, amounted to$ 7,242. thus, the net profit before  levies for the month of February was$ 11,758.          

Donation  periphery income statement for Naomi's Quilt Shoppe for the month of February  Deals  profit  95 bedspreads  vended

x$ 490 per spread = $ 46,550  Cost of goods  vended  95 bedspreads  vended x$ 290 cost per spread = $ 27,550  

Gross profit  Deals  profit- cost of goods  

vended = $ 46,550-$ 27,550 = $ 19,000  

Operating charges  Lease  expenditure = $ 1,300  

Payroll charges( including deals commissions)$ 1,800 8 of$ 46,550 = $ 5,942

Total operating charges$ 1,300$ 5,942 = $ 7,242.

Net profit before  levies  Gross profit- operating charges = $ 19,000-$ 7,242 = $ 11,758  .

Naomi's Quilt Shoppe's  donation  periphery income statement shows that the shop earned$ 19,000 in gross profit from dealing  95 Amish bedspreads, after paying the cost of goods  vended.

The operating charges, including parcel  expenditure and payroll costs( including deals commissions), amounted to$ 7,242. thus, the net profit before  levies for the month of February was$ 11,758.

To know more about Sales commissions.

https://brainly.com/question/25169847

#SPJ11

Write a exponential function

Answers

Answer:

2f2y3ui2ke9i22881o228j11 GJ

Answer:

[tex]y = 0.0625(2) {}^{x} [/tex]

Step by step

[tex]y = a(b^{x} )[/tex]

X = 1 y = 0.125

[tex]0.125 = ab^{1} \\ a = \frac{0.125}{b} [/tex]

X = 4 y = 1

[tex]1 = a( {b}^{4} ) \\ ab^{4} = 1 \\ replace \: a = \frac{0.125}{b} \: in \: ab^{4} = 1 \\ \frac{0.125}{b} \times b^{4} = 1 \\ {b}^{3} = \frac{1}{0.125} \\ b = \sqrt[3]{ \frac{1}{0.125} } \\ b = 2[/tex]

[tex]replace \: b = 2 \: in \: a = \frac{0.125}{b} \\ a = \frac{0.125}{2} \\ a = 0.0625[/tex]

[tex]therefore \: \\ y = 0.0625( {2})^{x} [/tex]

tly cloudy
The value of a certain investment over time is given in the table below. Answer the
questions below to determine what kind of function would best fit the data, linear or
exponential.
Number of
Years Since
Investment
Made, x
Value of
Investment
(s), f(x)
1
27,171.30
22,507.26 18,718.31
3
values change
function is approximately
function would best fit the data because as x increases, the y
The
of this
Q Search
15,412.40
GM

Answers

An exponential function would best fit the data because as x increases, the y values change multiplicatively. The rate of change of the function is of approximately 0.8275.

How to identify an exponential function?

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant, which is the rate of change of the exponential function.

The rate of change for this problem is approximated as follows:

22507.26/27171.30 = 0.828.18712.31/22507.26 = 0.831.15412.4/18712.31 = 0.824.

Hence the rate can be rounded to 0.8275.

More can be learned about exponential functions at brainly.com/question/2456547

#SPJ1

Other Questions
If the height of a rectangular prism is cut in half, which of the following statements would be true?The volume would be divided by 1/21/2 would be added to the volume.The volume would be multiplied by 1/21/2 would be subtracted from the volume. self-centric presenters deliver presentations they want to give, without concern for the audience or what they may be thinking or feeling. audience-centric presenters deliver presentations that address the wants, needs, concerns, or feelings of the audience. guess which presenters deliver more effective, more successful presentations? Olive chose astronomy as Her elective class,what is the correct meaning of the word Recruitment CostsInterview CostsJob Posting fee1st year feeReal Estate FeeShipping feeFamily travel costA. $43,600C. $47,600$2,000 per person$1,00010%6% of sales price$4,000$400 per personA company hiresan employee with a familyof 5 for a salary of $130,000over 2 other candidates. Ifthe employee sold herhouse for $360,000, what isthe total recruitingexpense?B. $46,000D. $45,600 nearly all members of white hate groups come from poor backgrounds and have low levels of education. true false frankie bought a new computer. he made an initial payment of to the store, and he will pay each month until the computer is paid off. which equation represents the relationship between , the number of monthly payments frankie has made, and , the total amount that frankie has paid the store? which term do political scientists use to describe vote choices that focus on future behaviors? Suppose you start with 25 mL of HCl solution (of unknown concentration), and suppose the concentration of your strong base solution (NaOH) is 0.65 M.(a) What volume of NaOH solution is needed to get to the equivalence point?(b) Find the concentration of the HCl solution. Which of these is a plural noun? (a) baby (b) child (c) men (d) jet lacking a sense of control over stressful events can result in a(n): Le rve de StphanieCompltez les phrases pour dcrire le rve(dream) de Stephanie Employez le futur des verbes.Quand j_____(avoir) 26 ans, j____(aller) habiter au bord de la mer. Mon beau mari _____(tre) avec moi et nous _____(avoir) une grande maison. Je ne _____ (faire) rien la maison. Nos amis _____(venir) nous rendre visite tous les week-ends. Nous _____ (pouvoir) nager et nous _____ (tre) heureux. when dry sediment accumulates, the angle of repose represents what property of the deposit? what equation is known as einstein's big idea (m. butterfly) what name does song pick for their "child"? what is the name given to the power of the courts to interpret and overturn A mass of 293 g is placed on a spring with an unknown spring constant. The mass has been set in oscillation above a Vernier Motion Sensor. Click on the collect button to start collecting data on the position of the mass as a funtion of time. After you have collected your data, determine the amplitude of oscillation, the frequency of oscillation and the spring constant of the spring. Enter your answers into the box below and then hit submit to see if you are correctAmplitude (cm):Frequency (Hz):Spring Constant (N/m): 1. How did the persecution of French missionaries end with Vietnam losing its independence? 2. Who ceded Laos to France in a strategy that allowed most of Siam to stay independent? 3. What imperialistic tactic did the Dutch use to subdue indigenous peoples? which of the following represents de novo methylation? multiple choice question. the methylation of dna that was previously methylated the methylation of dna that was previously unmethylated the methylation of any dna, regardless of previous methylation status hen the nucleic acid absorption ratio of 260nm/280nm is less than _____ than it indicates that your nucleic acid is ______? gastr/o means stomach. the word that means inflammation of the stomach is: