800 3. Andrew is buying a farm and needs to determine the height of a tree on the farm. Andrew, who is 5.8 feet tall, notices that when his shadow is 10 feet long, the shadow of the tree is 85 feet long. How tall is the tree? (5 points)​

Answer:

5/7

Step-by-step explanation:

B

Answer:

The equation is y=1/2x+5

Step-by-step explanation:

Answer:

y=1/2x+5

Step-by-step explanation:

I learned this last year. I know this is the answer

Part A.

The simple interest formula is given by

where I is the interest earned after t years, P is the money invested, r is the rate and t is the time. In our case, P=$4000, r=0.019 and t=10 years. Then, by substituting these values into the last formula, we have

How much interest will the customer earn in 10 years? $760

Part B

The formula for the ending balance A on an account with simple interest is

then, in our case, we have

What will the account balance be after 10 years?​ $4760

Answer:

L= -11/9p

Step-by-step explanation:

put me brailiest

Answer:

The original number is -22

Step-by-step explanation:

We'll label our mystery number x.

2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22

Plug in to confirm

-44 + 36 = -88/11S
8 = 8

All real numbers (In interval form (-∞,∞) )

Given,

From the graph,

To find the domain of the function.

Now,

We know that a domain of a function is the set of the all the x-values for which the function is defined.

By looking at the graph of the function we see that it is a graph of a upward open parabola and the graph is extending to infinity on both the side of the x-axis this means that the function is defined all over the x-axis i.e. for all the real values.

Also, we know that the function will be a quadratic polynomial since the equation of a parabola is a quadratic equation and as we know polynomial is well defined for all the real value of x.

The domain of the function is:

Hence,  All real numbers (In interval form (-∞,∞) )

Learn more about Domain at:

https://brainly.com/question/28135761

#SPJ1

Answer:

what lesson in math is this??

If Group 1 trees produce 25 percent more coconuts than Group 2, proportionately, Group 2 trees produce 120 coconuts.

Proportion refers to the two ratios equated to each other.

Proportion shows how much quantity or value is contained in another.

We depict proportions using fractional values, such as fractions, decimals, and percentages.

The number of coconuts produced by Group 1 trees = 150

The percentage by which Group 1 trees produce more than Group 2 = 25%

Let Group 1's production compared to Group 2's = 1.25 (100% + 25%)

Let Group 2's production = 100% = 150/125 x 100

= 120 coconuts

Thus, Group 2 trees would produce 120 coconuts compared to Group 1 trees that produced 150, which was proportionately, 25% more.

Learn more about proportions at https://brainly.com/question/1496357

#SPJ1

Answer:

bballs: 8*2+2=18

baseballs: 5*8-4=36

softballs: 36/2+6=24

Step-by-step explanation:

easy Hope this helps!

Using the given graph, we can see that the median cost is 480 thousands of dollars.

To find the cost in 2014, 19 years after 1995 which is the zero in the horizontal axis, first we need to locate the value x = 19 in the horizontal axis.

Once we do, we move vertically upwards until we meet the graph (in this case, the blue line).

Once we meet with the graph of the line, we move horizontally until we hit the vertical axis, and we record the correspondent value.

Doing that, we can see that the median cost of a home in 2014 is 480 thousands of dollars.

Learn more about graphs at.

https://brainly.com/question/19040584

#SPJ1

The limit in this problem is given as follows:

\(\lim_{x \rightarrow 3} \sqrt{x + 1} = 2\)

The function for this problem is defined as follows:

\(\lim_{x \rightarrow 3} \sqrt{x + 1}\)

The value of x at which we want to calculate the limit is given as follows:

x = 3.

The function in this problem has a domain of all real values, meaning that the limit is given by the numeric value of the function at x = 3, replacing the lone instance of x in the definition of the function by 3, as follows:

square root of (3 + 1) = square root of 4 = 2.

Which is the value of the limit.

More can be learned about the limit of a function at https://brainly.com/question/26103899

#SPJ1

To find:-

Answer:-

The given limit to us is ,

\(\implies \displaystyle \lim_{x\to 3}\sqrt{x+1} \\\)

We start by substituting, x = 3 , so we have;

\(\implies \displaystyle \sqrt{ x +1}\\\)

\(\implies \displaystyle \sqrt{3+1} \\\)

\(\implies \displaystyle \sqrt{4}=\boxed{2}\\\)

Therefore,

\(\implies \underline{\underline{\displaystyle \lim_{x\to3}\sqrt{x+1} = 2}} \\\)

and we are done!

Answer:

210.5.

Step-by-step explanation:

To simplify the expression 30.5•7-3+2 and ensure that the order of operations is clear, we can place parentheses around the first two terms:

(30.5•7) - 3 + 2

Now, we can perform the multiplication first:

213.5 - 3 + 2

Then, we can simplify by performing the addition and subtraction:

210.5

Therefore, with the added parentheses, the expression simplifies to 210.5.

As understand you need to get 30 by placing parenthesis in the expression:

There are two ways I can think of.

1) The 5*7 is 35 so we can subtract 5 to get 30:

2) Another way is 5*6 = 30 and it is achieved as:

Using a linear function and a quadratic function, the system of equations that can be used to model this situation is:

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

For this problem, the vertex is at (4,2), hence h = 4, k = 2 and the equation is:

y = a(x - 4)² + 2.

It passes through the point (5, 4), hence when x = 5, y = 4, which we use to find a.

4 = a + 2.

a = 2.

Thus the equation is:

y = 2(x - 4)² + 2.

The linear equation is given by:

y = mx + b

In which:

The road connects points (–3, 7) and (8, 2), hence the slope is given by:

m = (2 - 7)/(8 - (-3)) = -5/11.

Then:

y = -5/11x + b.

When x = 8, y = 2, hence we use it to find b as follows:

2 = -40/11 + b

b = 62/11.

Then the equation is:

y = -5/11x + 62/11.

Multiplying by 11:

11y = -5x + 62.

5x + 11y = 62.

The system of equations is:

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Answer:

StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 5 x + 11 y = 62 EndLayout

Step-by-step explanation:

The answer above is correct.

Answer:

b = (a - 6)/2h

Step-by-step explanation:

a = 2bh + 6 (subtract 6 from both sides)

a - 6 = 2bh (divide both sides by 2)

(a - 6)/2 = bh (divide both sides by h)

(a - 6)/2h = b

Brainliest, please :)

Answer:

y               x

-2           1/4

-1           1/2

0             1

1               2

2               4

Step-by-step explanation:

its easy algbra

doing it rn to

Answer:

C) For each hour worked the dollars earned increases by $5

Step-by-step explanation:

I don't have the context of the problem.

However, we do know that in math, when we have an equation of the form \(y=mx+b\), the slope m represents the rate of change. This means, how much one quantity changes in regards to other quantity (from the options I can assume that we are talking about amount earned and hours worked).

Thus, in this case we have \(m=5\) and this tells us how much the payment increase in terms of hours worked. Thus, we can say that for each work we work the payment increases by $5.

Thus, the correct answer is c) For each hour worked the dollars earned increases by $5

(i)  The partial fraction decomposition of\(100/(x^7 * (10 - x))\) is\(100/(x^7 * (10 - x)) = 10/x^7 + (1/10^5)/(10 - x).\) (ii) The expression for t in terms of x is t = 10 ± √(100 + 200/x).

(i) To express the rational function 100/(\(x^7\) * (10 - x)) in partial fractions, we need to decompose it into simpler fractions. The general form of partial fractions for a rational function with distinct linear factors in the denominator is:

A/(factor 1) + B/(factor 2) + C/(factor 3) + ...

In this case, we have two factors: \(x^7\) and (10 - x). Therefore, we can express the given rational function as:

100/(\(x^7\) * (10 - x)) = A/\(x^7\) + B/(10 - x)

To determine the values of A and B, we need to find a common denominator for the right-hand side and combine the fractions:

100/(x^7 * (10 - x)) = (A * (10 - x) + B * \(x^7\))/(\(x^7\) * (10 - x))

Now, we can equate the numerators:

100 = (A * (10 - x) + B * \(x^7\))

To solve for A and B, we can substitute appropriate values of x. Let's choose x = 0 and x = 10:

For x = 0:

100 = (A * (10 - 0) + B * \(0^7\))

100 = 10A

A = 10

For x = 10:

100 = (A * (10 - 10) + B *\(10^7\))

100 = B * 10^7

B = 100 / 10^7

B = 1/10^5

Therefore, the partial fraction decomposition of 100/(\(x^7\) * (10 - x)) is:

100/(\(x^7\) * (10 - x)) = 10/\(x^7\) + (1/10^5)/(10 - x)

(ii) Given the differential equation: dx/dt = (1/100) *\(x^2\) * (10 - x)

We are also given x = 1 when t = 0.

To solve this equation and obtain an expression for t in terms of x, we can separate the variables and integrate both sides:

∫(1/\(x^2\)) dx = ∫((1/100) * (10 - x)) dt

Integrating both sides:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) + C

Where C is the constant of integration.

Now, we can substitute the initial condition x = 1 and t = 0 into the equation to find the value of C:

-1/1 = (1/100) * (10*0 - (1/2)*\(0^2\)) + C

-1 = 0 + C

C = -1

Plugging in the value of C, we have:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

To solve for t in terms of x, we can rearrange the equation:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Multiplying both sides by -1, we get:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

Simplifying further:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Now, we can isolate t on one side of the equation:

(1/100) * (10t - (1/2)t^2) = 1 - 1/x

10t - (1/2)t^2 = 100 - 100/x

Simplifying the equation:

(1/2)\(t^2\) - 10t + (100 - 100/x) = 0

At this point, we have a quadratic equation in terms of t. To solve for t, we can use the quadratic formula:

t = (-(-10) ± √((-10)^2 - 4*(1/2)(100 - 100/x))) / (2(1/2))

Simplifying further:

t = (10 ± √(100 + 200/x)) / 1

t = 10 ± √(100 + 200/x)

Therefore, the expression for t in terms of x is t = 10 ± √(100 + 200/x).

For more such questions fraction,click on

https://brainly.com/question/78672

#SPJ8

Answer:

We can use the formula for compound interest to find the future value (FV) of Natalie's investment:

FV = P * (1 + r/n)^(n*t)

Where:

P is the principal amount (the initial investment), which is $2,000 in this case

r is the annual interest rate as a decimal, which is 11% or 0.11

n is the number of times the interest is compounded per year, which is 12 since interest is compounded monthly

t is the number of years, which is 20

Substituting the values into the formula, we get:

FV =

2

,

000

∗

(

1

+

0.11

/

12

)

(

12

∗

20

)

�

�

=

2,000 * (1.00917)^240

FV = $18,255.74

Therefore, after 20 years of compounded monthly interest at a rate of 11%, Natalie's investment of 2,000 will be worth approximately 18,256.

Answer:

$17,870

Step-by-step explanation:

You must use the formula for compound interest.

A = P(1 + r/n)^nt

I suggest you look it up at some point so that you can do these more easily in the future!

The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.

First, remember that for a point (x, y):

For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:

(-4, -1)

Then we can see that this point is on the quadrant III.

Learn more about quadrants:

https://brainly.com/question/863849

#SPJ1

Answer:

9^3

Step-by-step explanation:

9* 9^2

9*9(9) = 9^3

We could also look at it as

9^1 * 9^2

We know that a^b * a^c = a^(b+c)

9^(1+2) = 9^3

Answer: 0.1974

Step-by-step explanation:

Let X be a random variable that denotes the gas mileage (in miles per gallon) of the individual sedan.

Given: Population mean: \(\mu=20\)

Standard deviation: \(\sigma=2\)

The probability that the gas mileage (in miles per gallon) of your single, individual sedan is between 19.5 and 20.5:

\(P(19.5<x<20.5)=P(\dfrac{19.5-20}{2}<\dfrac{x-\mu}{\sigma}<\dfrac{20.5-20}{2})\\\\=P(-0.25<z<0.25)=2P(0.25)-1 [P(-z<Z<z)=2P(Z<z)-1]\\\\=2(0.5987)-1=0.1974\)

The required probability=0.1974

Answer:400

Step-by-step explanation:

Answer:

a) Convenient

b) Cluster

c) Stratified

d) Systematic

e) Random

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

Situation a:

Asks all from a single group(sitting passengers), that is, convenint sample.

Situation b:

First she separates the students by row, then from each row, she chooses all students. So this is Cluster sampling.

Situation c:

The manager separates the stores by location, and then in each location, random customers are chosen. This is an example of Stratified sampling.

Situation d:

Marks for every fourth patron, that is, every 4th element. So Systematic sampling.

Situation e:

People chosen at random, so Random sampling.

Answer:

C

Step-by-step explanation:

Edge 2020

Answer:Dne, 5,2,dne

Step-by-step explanation:

The solution to find the five number summary shown below.

When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.

To find a five number summary we have follow:

Learn more about five number summary here:

https://brainly.com/question/29297089

#SPJ1

To find the property tax, you would multiply the mill rate by 0.01

To find the property tax, you would multiply the assessed value of the property by the mill rate.

Given that the assessed value is $225,000 and the mill rate is 14.5, we need to multiply these two values to calculate the property tax.

Property Tax = Assessed Value × Mill Rate

Property Tax = $225,000 × 14.5

To simplify the calculation, we can convert the mill rate to a decimal by dividing it by 1,000.

Mill Rate = 14.5 ÷ 1000 = 0.0145

Property Tax = $225,000 × 0.0145

Property Tax = $3,262.50

Therefore, to find the property tax, you would multiply the mill rate by 0.01 (option c).

To know more about property tax click here :

https://brainly.com/question/17168258

#SPJ2