Find the values of acts and why. Dragon drop the correct values in the box is below:

Answer:

[tex](x-4)^2+(y-7)^2=125[/tex]

Step-by-step explanation:

1) Find the radius

To find the radius of the circle, use the distance formula for the points (4,7) and (-7,9)

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the points (4,7) and (-7,9)

[tex]d=\sqrt{(-7-4)^2+(9-7)^2}\\d=\sqrt{(-11)^2+(2)^2}\\d=\sqrt{121+4}\\d=\sqrt{125}[/tex]

Therefore, the radius of the circle is [tex]\sqrt{125}[/tex] units.

2) Plug all data into the circle equation

Equation of a circle (not centred at the origin):

[tex](x-h)^2+(y-k)^2=r^2[/tex] where the centre is [tex](h,k)[/tex]

Plug in the point (4,7) as (h,k)

[tex](x-4)^2+(y-7)^2=r^2[/tex]

Plug in the radius [tex]\sqrt{125}[/tex]

[tex](x-4)^2+(y-7)^2=(\sqrt{125}) ^2\\(x-4)^2+(y-7)^2=125[/tex]

I hope this helps!

Answer:

x=√65 and x=-√65

Step-by-step explanation:

Givn the expression 2x^2 - 9 = 121

Add 9 to both sides

2x^2 - 9 + 9 = 121 + 9

2x^2 = 130

Divide both sides b 2

2x^2/2 = 130/2

x^2 = 65

x = ±√65

x=√65 and x=-√65

Answer:

15595 bacteria will be present after 13 hours.

Step-by-step explanation:

Continuous population growth:

The continuous population growth model, for the population after t hours, is given by:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate.

Started with 5000 bacteria

This means that [tex]P(0) = 5000[/tex]

So

[tex]P(t) = 5000e^{rt}[/tex]

After three hours it grew 6500 bacteria:

This means that [tex]P(3) = 6500[/tex]. We use this to find r.

[tex]P(t) = 5000e^{rt}[/tex]

[tex]6500 = 5000e^{3r}[/tex]

[tex]e^{3r} = \frac{65}{50}[/tex]

[tex]\ln{e^{3r}} = \ln{\frac{65}{50}}[/tex]

[tex]3r = \ln{\frac{65}{50}}[/tex]

[tex]r = \frac{\ln{\frac{65}{50}}}{3}[/tex]

[tex]r = 0.0875[/tex]

So

[tex]P(t) = 5000e^{0.0875t}[/tex]

How many bacteria will be present after 13 hours?

This is P(13). So

[tex]P(13) = 5000e^{0.0875*13} = 15594.8[/tex]

Rounding to the nearest whole number

15595 bacteria will be present after 13 hours.

Answer:

19.21 is the answer

The answer for this question is A:

A = x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6

The parametric equations of the curve are:

x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3

The parametric equation of the line is, [tex]x=x_0+at,y=y_0+bt[/tex] where [tex](x_0,y_0)[/tex] is the point on the line and [tex]\frac{b}{a}[/tex] is the slope of the line with a, b are real numbers.

If (a, b) and (c, d) are any two points on the line then, slope of the line is:

m = (d - b)/(c - a)

For given situation,

a line goes from (-5, 7) to (3, 3).

Using the formula of slope, the value of m i.e., slope of the line  would be,

⇒ m = (7 - 3)/(-5 - 3)

⇒ m = 4/(-8)

⇒ m = 1/(-2)

⇒ m= 0.5/(-1)

Comparing with m = b/a,

b = 0.5 and a = -1.

From the graph of the line given below,

A point (1, 4) is also on the line.

Let [tex]\bold{(x_0,y_0)=(1,4)}[/tex]

Using the parametric equation of the line,

[tex]x=x_0+at[/tex]

⇒ x = 1 + (-1)t

⇒ x = -t + 1

and [tex]y = y_0+bt[/tex]

⇒ y = 4 + (0.5)t

⇒ y = 0.5t + 4

Therefore, the parametric equations of the curve are:

x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3

Learn more about the parametric equations here:

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Answer: 1/50 or 0.02

Step-by-step explanation:

30 / 1500 = 1/50

1/50 or 0.02

Answer: Yes

Step-by-step explanation: A rational number is a number that can be described as a fraction. -92 can be a fraction, therefor it's rational.

No

A rational number is any number that can be expressed as a ratio of two integers. For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi is irrational since it cannot be written as a fraction.

Answer:

J. V = 12h cubic units

Step-by-step explanation:

Volume if a square pyramid = ⅓*a²*h

Where,

h = height = ?

a = edge = 6 in.

Plug in the values

Volume = ⅓*6²*h

V = ⅓*36*h

V = 12*h

V = 12h cubic units

theoretical probability is based on logic as in:

there's a spinner with five equal sections. There would be a theoretical probability of 20% for each section

Experimental probability is based on results of previous experiments such as:

Damien spun that same spinner 10 times and landed on the red section 3 of ten times

9514 1404 393

Answer:

  area = 2w² -6w

Step-by-step explanation:

For width w, the length is ...

  L = 2w -6

and the area is ...

  A = LW = (2w -6)(w) = 2w² -6w . . . area of the rectangle

Answer:

The percentage rate of decay per year is of 5.19%.

The function  showing the mass of the sample remaining after t is [tex]A(t) = 520(0.9481)^t[/tex]

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Every 13 years, its mass decreases by half.

This means that [tex]A(13) = 0.5A(0)[/tex]. We use this to find r. So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]0.5A(0) = A(0)(1-r)^{13}[/tex]

[tex](1-r)^{13} = 0.5[/tex]

[tex]\sqrt[13]{(1-r)^{13}} = \sqrt[13]{0.5}[/tex]

[tex]1 - r = (0.5)^\frac{1}{13}[/tex]

[tex]1 - r = 0.9481[/tex]

[tex]r = 1 - 0.9481[/tex]

[tex]r = 0.0519[/tex]

The percentage rate of decay per year is of 5.19%.

The initial mass of a sample of Element X is 520 grams

This means that [tex]A(0) = 520[/tex]. So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 520(1-0.0519)^t[/tex]

[tex]A(t) = 520(0.9481)^t[/tex]

The function  showing the mass of the sample remaining after t is [tex]A(t) = 520(0.9481)^t[/tex]

Answer:

10 times plz mark brainliest

Answer:

10

Step-by-step explanation:

10×10=100. TRUST ME I DID THE MATH

Answer:

i ma rhhy

Step-by-step explanation:

i am right

Answer:

The first one is missing (d - 9) so it would be 5(d -9) or when you factor it out 5d - 45

In the second one (d + 7) is missing so it will be 8d(d + 7) so if you factor that out you will receive 8d^2 + 56

Step-by-step explanation:

3d^2 + 18d -21 =(3d -3)( d + 7)

3d^2 -30d +27 =(3d -3)(d - 9)

Answer:

Pyramid formula: V= LWH/3

224

Step-by-step explanation:

Answer:

336

Step-by-step explanation:

The figure shown is a triangular prism

The volume of a triangular prism can be calculated by using this formula

[tex]V=ah[/tex]

where a = area of base and h = height

we are already given the height ( 8 ft ) so all we need to find is the area of the base

Because this is triangular prism the base will be a triangle

The area of a triangle can be calculated using this formula

[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height

The base length of this particular triangular prism is 12 ft and the height of the base is 7 ft

That being said we plug in the values into the formula

[tex]A=\frac{12*7}{2} \\12*7=84\\\frac{84}{2} =42[/tex]

So we can conclude that the area of the base is 42 ft²

Now to find the volume

Using the formula V = ah

* plug in the values *

V = 42 * 8

42 * 8 = 336

Therefore the volume of the triangular prism is 336ft³

Answer:

Can't be Solved

Step-by-step explanation:

tan x = opp/adj

tan x = 23/11

tan x = 2.09090909 which is about

tan x = 2.09

x = 64.4 degrees which is the tangent of 2.09 in degrees.

x = 64.4 degrees

This is the only way to solve, since no answer is equivalent it can't be solved.

Step-by-step explanation:

that each shirt is 6 dollars

Answer:

80 inches

Step-by-step explanation:

8x10=80

because, lxw

l= length

w= width

Answer:

80

Step-by-step explanation:

im not trying to copy the answer above, im just going to say why its 80

so firstly we have the known dimensions of 10 by 8, so in this case we have 10 rows that each contain 8 units

we can then multiply the 8 units of one row, by the amount of rows there are total (in this case 10) to get the total unit count, or area

8 * 10 = 80

(NOTE: you can use the Asterisk (*) as a multiplication mark as to not get it confused with x as in the variable, as with slash (/) for dividing)

hope this helps with this and other problems, credits to the answer above for doing the initial work :)

2√x−3√xyx+√y is your answer.

Answer:

its 96 because it is corresponding to both the 96 degrees in the fig

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation：

Rolling a 1 is [tex]\frac{1}{6}[/tex]

Flipping tails is [tex]\frac{1}{2}[/tex]

[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{2}=\frac{1}{12}[/tex]

Answer:

D

Step-by-step explanation:

5 1/2= 5 2/4

5 2/4 - 1 3/4 = 3 3/4

Answer:

3 3/4

Step-by-step explanation:

5 1/2 - 1 3/4

5 2/4 - 1 3/4

22/4 - 7/4

15/4

3 3/4

The appropriate description of the graph is as follows

1. The demand for health supplements in Oklahoma A: increases slowly.

2. The demand for health supplements in Oklahoma B: Decreases quickly.

3. The demand for health supplements in Oklahoma for C: Increases quickly.

4. The demand for health supplements in Oklahoma for D: decreases slowly.

To interpret lines on a graph, we must first note that those lines mean a number of things but ultimately, the tell or show is the relationship between two or more variables.

In the case of the Oklahoma graphs, we know that the lines represents the deman for health supplements. However, what we don't know are those factors that are causing the demands to increase or decrease.

The above answer is for the graph below that has been attached.

Find more exercises that includes graphs;

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9514 1404 393

Answer:

  yes

Step-by-step explanation:

A negative exponent in the numerator is the same as a positive exponent in the denominator (and vice versa). So, the first two expressions are equivalent.

An exponent is an indication of repeated multiplication. So, the 2nd and 3rd expressions are equivalent.

Any product can be decomposed to a product of its factors. So, the last two expressions are equivalent.

All of the expressions are equivalent.