How high is a tree that cast a 23ft shadow at the same time a6ft post casts a shadow which is 4ft long

Answer:

1764

Step-by-step explanation:

Y=6b+12ab^2

Let a = 4

b = 6

Y = 6(6) +12 (4)(6)^2

   = 36 + 12 (4) (36)

   = 36+1728

   =1764

Answer:

[tex]\huge\boxed{\sf Y = 1764}[/tex]

Step-by-step explanation:

[tex]Y = 6b+12ab^2\\\\Given \ that \ a = 4 , \ b = 6\\\\Putting \ values\ in \ given \ equation\\\\Y = 6(6) +12(4)(6)^2\\\\Y = 36 + 48(36)\\\\Y = 36 + 1728\\\\Y = 1764\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

a. 65 - 3 x = 55 - 2.5 x

ab. 20

b. 5

Step-by-step explanation:

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let x be the number of days and y be the value of the card.

Tavon has a gift card for $110 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $90 that loses $2 for each​ 30-day period it is not used. Then the equations will be

y = 110 - 2.5x    ...1

y = 90 - 2x       ...2

From equations 1 and 2, we have

110 - 2.5x = 90 - 2x

20 = 0.5x

x = 40

And the value of y will be

y = 110 - 2.5(40)

y = 110 - 100

y = $10

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

More about the linear equation link is given below.

brainly.com/question/11897796

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Answer:

no solutions

Step-by-step explanation:

[tex]4x + y = 24 - - - (a) \\ y = - 4x + 24 - - - (b)[/tex]

substitute for y in (a) with (b):

[tex]4x + ( - 4x + 24) = 24 \\ 0x = 0[/tex]

Answer:

infinite solutions

Step-by-step explanation:

substitute y in the first equation

4x+(-4x+24)=24

4x and -4x cancel out

24/24=1

or solve for x, you should also get 1

Answer:

7 > 24/4

Step-by-step explanation:

7 _ 24/4

Simplify 24/4

24/4 = 6

7 is greater than 6

7 > 24/4

7 is greater than the fraction 24/4 so we use the ">" symbol between them. Hence, the complete equation is 7 > 24/4.

Comparison of two numbers involves determining the relationship between them. Here are a few possible outcomes when comparing two numbers:

1: If the first number is greater than the second number, we can say that the first number is "greater than" or "larger than" the second number.

2: If the first number is less than the second number, we can say that the first number is "smaller than" or "less than" the second number.

3: If the first number is equal to the second number, we can say that the numbers are "equal" to each other.

The given numbers are:

7 and 24/4

To compare these numbers,

Convert the fraction 24/4 into the simplest form

Therefore,

[tex]\frac{24}{4} = 6[/tex]

Now since 7 is greater than 6 so we use ">" between them.

Hence,

The complete equation will be 7 > 24/4.

To learn more about the fraction visit:

https://brainly.com/question/5454147

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Answer:

A: y = 17x

Step-by-step explanation:

Answer:

21 is A

22 is B

Step-by-step explanation:

51 / 3 = 17, which is the cost of 1 hour.  That means, in order to find the charge (y), you need to multiply the # of hours (x) by 17.  Equation A represents this correctly.  

Now that we know this, for question 22, if someone rented a machine for 3.5 hours, to find the charge, multiply 3.5 by 17.  This gives you 59.50.

Answer:

15

Step-by-step explanation:

3×9 =27

3×4= 12

27-12= 15

:) hope it helps

Answer:

A 8.5 pints

Step-by-step explanation:

Answer:

8500

Step-by-step explanation:

depreciation=10000×15%=1500

initial cost = 10000

final cost = initial cost- depreciation

=10000-1500

=8500

Answer:

7.4641

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I think its D because you multiple the number that is out of the the bracket with the numerators..

so its

a^4/b^12

Step-by-step explanation:

1) let number=a

six times a number=6a

Condition:

6a+4=22

2) eleven times a number=11a

Condition:

11a-5=50

3) 9 times a number=9a

Condition:

9a-7=-16

Note:if you need to ask any question please let me know.

Answer:

5.264 * 10^4

Step-by-step explanation:

We put a decimal point to the right of the number, so

52640.

Then we move it to the left until we get a number that is between 1 and 10.

5.2640

This was four hops to the left.

We can remove the trailing 0, and write

5.264 * 10^4

10^4 because of the four hops

Answer:

5.264×10^4

Step-by-step explanation:

10^4 = 10,000 x 5.264 = 52,640

Answer:

16 is the number occurring most often in the list.

Step-by-step explanation:

Answer:

A triangular prism

Explanation:

The 2 triangles will be the 2 bases and the 3 rectangles will be the 3 sides.

Answer:

Yes. It is a rational number.

Answer:

c

Step-by-step explanation:

thats the anser

Answer:

In word form ----> Seventy-six percent

As a fraction -----> 76/100

Answer:

They can all be simplified to 2/3

Turn 9 into [tex]\frac{81}{9}[/tex]. Then, convert 4 [tex]\frac{4}{9}[/tex] into a improper faction ( [tex]\frac{40}{9}[/tex] ). Then, subtract

[tex]\frac{81}{9} - \frac{40}{9} = \frac{41}{9}[/tex]. Lastly, convert  [tex]\frac{41}{9}[/tex] to a mixed fraction ( [tex]4\frac{4}{9}[/tex] ).

Your answer is [tex]4\frac{4}{9}[/tex].

Problem 1

Part A

If n is even, then we have a "parabolic" shape going on. I put that in quotes because if n = 2, then we have a true parabola; however, if n is even and larger than 2, then we have a curve that looks like a parabola, but it's not exactly a perfect parabola. All of these curves have in common that the end behavior is the same for the left and right sides.

Consider the example where a = 1 and n = 2. This means

y = a*x^n

turns into

y = 1*x^2

which is the same as

y = x^2

This produces the parent parabola curve. This curve opens upward.

I recommend using Desmos to graph y = a*x^n, where the 'a' and n are parameters set up. Check out the screenshot below.

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

Part B

If n is odd, then we'll get something that looks like a cubic curve. If n = 3, then we get a cubic curve. If n is odd and n > 3, then we get something that looks like a cubic curve, but it's not exactly this perfect cubic.

If we let a = 2 and n = 3, then y = a*x^n becomes y = 2x^3. The graph of which is below.

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

Part C

If a > 0 then the curve is like the previous examples shown earlier.

If a < 0, then we will reflect those given earlier curves over the horizontal x axis. An example is shown below using y = -x^2. This time we have a = -1 and n = 2. In other words, I reflected the example in part A over the x axis.

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

Part D

As 'a' increases, then the graph gets more narrow. It also gets vertically stretched. Consider the example of going from y = 1x^2 to y = 3x^2 as shown below.

As 'a' decreases, then the process is done in reverse: the curve gets more flatter and wider horizontally. We consider the curve to be vertically compressed or squished. So we'd go from y = 3x^2 to y = 1x^2 as an example.

============================================================

Problem 2

Part A

For all of problem 2, we'll only consider negative values of n. We want n to be even, so let's say n = -2. Furthermore, let's say a = 2.

This means y = ax^n becomes y = 2x^(-2) which is the same as y = 2/(x^2)

The curve we get is really two separate pieces. There's a gap or disconnect at x = 0 because of a division by zero error. One piece of the curve is always increasing, while the other piece is always decreasing.

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

Part B

Since we want n to be odd and negative, let's say n = -1. We'll keep a = 2 the same as before.

That means y = ax^n becomes y = 2x^(-1) as shown in the diagram below. What we have is a hyperbola. This is a disconnected set of two curves that collectively entirely define this function in a visual sense. Note the gap when x = 0 due to the division by zero error.

Recall that y = 2x^(-1) is the same as y = 2/x

Again, I'm using Desmos to generate each of these graphs.

Similar to part A, the two pieces are disconnected. This curve is known as hyperbola. It's always increasing if a < 0, and it's always decreasing when a > 0.

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

Part C

If 'a' is positive, then the graph of y = 2/(x^2) is entirely above the x axis (aka everything is positive). On the flip side, if 'a' is negative, then everything swaps to being negative. That will reflect the curve over the x axis to get what you see in the example below. We have a = -2 and n = 2.

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

Part D

As 'a' increases, this means the graph spreads out. If 'a' decreases, then it gets more compressed.  

An example is shown below going from y = 1/x to y = 3/x which shows expansion going on (reverse it to get a compression).

============================================================

Once again, the screenshots are shown below as examples.

Answer:

3 people

Step-by-step explanation:

Let "x" represent the number of people who payed with cash

Let "y" represent the number of people who payed with credit card

14x +15y = 177 ---------1

3x =y--------- 2

solving simultaneously,

put eqn 2 into eqn 1

14x + 15 (3x) = 177

14x + 45x = 177

59x = 177

x=3

From eqn 2 , y = 3 x

y = 3 (3)

y=9

therefore the number of people who paid with cash were 3.

The information about the path is incomplete, so I'll just use a domain of a ≤ t ≤ b, where a > 0 and b < ∞.

Differentiating r(t) gives

[tex]\vec r(t) = 2t\,\vec\imath + 2t\,\vec\jmath + t\,\vec k \implies \dfrac{\mathrm d\vec r(t)}{\mathrm dt} = 2\,\vec\imath + 2\,\vec\jmath + \vec k[/tex]

with magnitude √(2² + 2² + 1²) = √5.

Then we have

[tex]\displaystyle \int_C f(x,y,z)\,\mathrm ds = \int_a^b f(2t,2t,t) \left\|\frac{\mathrm d\vec r(t)}{\mathrm dt}\right\| \,\mathrm dt \\\\= \sqrt5 \int_a^b \frac{2t+2t+t}{(2t)^2+(2t)^2+t^2}\,\mathrm dt \\\\ = \sqrt5 \int_a^b \frac{5t}{5t^2} \,\mathrm dt \\\\ = \sqrt5 \int_a^b \frac{\mathrm dt}t \\\\ = \sqrt5 (\ln(b)-\ln(a)) = \boxed{\sqrt5 \ln\left(\frac ba\right)}[/tex]

Answer:

D

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

x is one of the three angles of a triangle. The other two are given as 95 and 38.

Together all three have to make 180 degrees.

x + 95 + 38 = 180

x + 133 = 180

x = 180 - 133

x = 47

Answer:

47

Step-by-step explanation:

as we know that sum of a triangle is always=180°

so x+38°+95°=180

so x+133=180

and x=180-133

so x= 47

Answer:

1) y=-11x-50    2)y=-8x+16

Step-by-step explanation:

1.  y=mx+b- it is the main equation for a line'

If we take the first point and use its coordinates we have -6=-4m+b

If we take the second point and use its coordinates we have 5=5m+b

These equations are simultaneous for our line because the line passes through both points

-6=-4m+b

5=-5m+b

If subtract the second one from the first equation

-6-5= -4m+b- (-5m+b)

-11= m

b= -6-44=-50

y=-11x-50

2) y=mx+b

-8=-8*3+b

b=16

y=-8x+16