Two points have the coordinates (2,3) and (7,9).
Calculate the distance between the two points. Give the answer in two significant figures. ​

Answer:

x = -6

Step-by-step explanation:

Step-by-step explanation:

A can is a cylinder.

Volume of a can = Volume of Cylinder

[tex] = \pi {r}^{2} h[/tex]

Given Radius = 3.2 inches and height = 15 inches,

Volume of one olive oil can =

[tex]\pi( {3.2}^{2} )(15) \\ = 153.6\pi {in}^{3} [/tex]

Volume of 5 olive oil cans = 5 x volume of one olive can

[tex] = 5 \times 153.6\pi \\ = 768\pi {in}^{3} [/tex]

I will just leave the answer in terms of pi as I'm not sure if you need to round off your answers.

Answer:

12 cents

Step-by-step explanation:

opportunity cost of the next best option forgone when one alternative is chosen over other alternatives

by loaning matt the money he forgoes the opportunity to earn 12 cents in interest. this is his opportunity cost

Answer:

16 ft.)

Step-by-step explanation:

You would first do 4 x 4 since there is 4 sides, which would give you 16

hope you have a good day!

Answer:

Radius, r, is 3.75

Step-by-step explanation:

From the given diagram,

AB = 9

AC = 6 + r

BC = r

Thus applying the Pythagoras theorem, we have;

[tex]/AC/^{2}[/tex] = [tex]/AB/^{2}[/tex] + [tex]/BC/^{2}[/tex]

[tex](6 + r)^{2}[/tex] = [tex]9^{2}[/tex] + [tex]r^{2}[/tex]

36 + 12r + [tex]r^{2}[/tex] = 81 + [tex]r^{2}[/tex]

collecting like terms,

12r = 81 - 36

12r = 45

r = [tex]\frac{25}{12}[/tex]

   = 3.75

r = 3.75

The radius is 3.75.

Answer:

8:18:24

Step-by-step explanation:

2:4:6 = 12 parts

12 parts = 50 Marbles

1 part = 50/12 = 4 Marbles (approx)- Cannot be decimal

2 Parts = 2*4= 8

4 Parts= 4*4.5=18(approx)

6 Parts= 6*4 =24

Answer: ( 60 ) , or ( -4)

Step-by-step explanation:

Answer:

√3/3

Step-by-step explanation:

tan=sin/cos=1/2/sqrt(3)/2=1/sqrt(3)

hope it helps

have a great day

Answer:

12^4/5

Step-by-step explanation:

When doing this you put the number the base is raised to on top of the fraction and the root number on the bottom

Answer:

£16:£144

Step-by-step explanation:

1+9=10

160/10=16

1×16=16

9×16=£144

Answer:

16£ and 114£

Step-by-step explanation:

add the ratios

1 + 9 = 10

for the first ratio

(1/10) × 160

= 16£

for the second ratio

(9/10) × 160

= 114£

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Answer: The second integer is smaller

x = 161

Explanation:

2x + 7 + x= 490

3x + 7 = 490

x = 161

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

All residents of the community

Step-by-step explanation:

Not sure if this is fully correct but the 2nd and 3rd option is wrong (Edg 2021)

The correct option is b. the 230 residents who were interviewed.

Given,

A community is considering raising funds to pay for improvements to the community swimming pool.  community leaders went door-to-door in a few neighborhoods and interviewed residents. Of the 230  residents contacted, 157 support raising funds to pay for improvements.

Now we have to find the sample in this setting.

A sample is the specific group that you will collect data from.

Here,  230  residents contacted, so the Sample is 230 residents.

Hence the correct option is b.the 230 residents who were interviewed.

For more details on Sample follow the link:

https://brainly.com/question/350477

Answer:

So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).

That angle ladder makes with the ground = €

SOH: sin € = opposite/hypotenuse

No the ladder won't be safe!!!

Now let's make it safe:

The ladder's length (w) is constant, so stays 12

So now let's ask in an inequality what height will be safe (75° or less)

what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!

Hope that helps! :-D

Step-by-step explanation:

Answer:

not safe it is 78.5 degrees

Step-by-step explanation:

From the above, it can be seen that the nature of polynomial functions is dependent on its degree. Higher the degree of any polynomial function, then higher is its growth. A function which grows faster than a polynomial function is y = f(x) = ax, where a>1. Thus, for any of the positive integers n the function f (x) is said to grow faster than that of fn(x).

Thus, the exponential function having base greater than 1, i.e., a > 1 is defined as y = f(x) = ax. The domain of exponential function will be the set of entire real numbers R and the range are said to be the set of all the positive real numbers.

It must be noted that exponential function is increasing and the point (0, 1) always lies on the graph of an exponential function. Also, it is very close to zero if the value of x is mostly negative.

Exponential function having base 10 is known as a common exponential function. Consider the following series:

Derivative of logarithmic and exponential function 5

The value of this series lies between 2 & 3. It is represented by e. Keeping e as base the function, we get y = ex, which is a very important function in mathematics known as a natural exponential function.

For a > 1, the logarithm of b to base a is x if ax = b. Thus, loga b = x if ax = b. This function is known as logarithmic function.

Derivative of logarithmic and exponential function 2

For base a = 10, this function is known as common logarithm and for the base a = e, it is known as natural logarithm denoted by ln x. Following are some of the important observations regarding logarithmic functions which have a base a>1.

   The domain of log function consists of positive real numbers only, as we cannot interpret the meaning of log functions for negative values.

   For the log function, though the domain is only the set of positive real numbers, the range is set of all real values, i.e. R

   When we plot the graph of log functions and move from left to right, the functions show increasing behaviour.

   The graph of log function never cuts x-axis or y-axis, though it seems to tend towards them.

Derivative of logarithmic and exponential function 3

   Logap = α, logbp = β and logba = µ, then aα = p, bβ = p and bµ = a

   Logbpq = Logbp + Logbq

   Logbpy = ylogbp

   Logb (p/q) = logbp – logbq

Exponential Function Derivative

Let us now focus on the derivative of exponential functions.

The derivative of ex with respect to x is ex, i.e. d(ex)/dx = ex

It is noted that the exponential function f(x) =ex  has a special property. It means that the derivative of the function is the function itself.

(i.e) f ‘(x) = ex = f(x)

Exponential Series

Exponential Functions

Exponential Function Properties

The exponential graph of a function represents the exponential function properties.

Let us consider the exponential function, y=2x

The graph of function y=2x is shown below. First, the property of the exponential function graph when the base is greater than 1.

Exponential Functions

Exponential Function Graph for y=2x

The graph passes through the point (0,1).

   The domain is all real numbers

   The range is y>0

   The graph is increasing

   The graph is asymptotic to the x-axis as x approaches negative infinity

   The graph increases without bound as x approaches positive infinity

   The graph is continuous

   The graph is smooth

Exponential Functions

Exponential Function Graph y=2-x

The graph of function y=2-x is shown above. The properties of the exponential function and its graph when the base is between 0 and 1 are given.

   The line passes through the point (0,1)

   The domain includes all real numbers

   The range is of y>0

   It forms a decreasing graph

   The line in the graph above is asymptotic to the x-axis as x approaches positive infinity

   The line increases without bound as x approaches negative infinity

   It is a continuous graph

   It forms a smooth graph

Exponential Function Rules

Some important exponential rules are given below:

If a>0, and  b>0, the following hold true for all the real numbers x and y:

       ax ay = ax+y

       ax/ay = ax-y

       (ax)y = axy

       axbx=(ab)x

       (a/b)x= ax/bx

       a0=1

       a-x= 1/ ax

Exponential Functions Examples

The examples of exponential functions are:

   f(x) = 2x

   f(x) = 1/ 2x = 2-x

   f(x) = 2x+3

   f(x) = 0.5x

Solved problem

Question:

Simplify the exponential equation 2x-2x+1

Solution:

Given exponential equation: 2x-2x+1

By using the property: ax ay = ax+y

Hence, 2x+1 can be written as 2x. 2

Thus the given equation is written as:

2x-2x+1 =2x-2x. 2

Now, factor out the term 2x

2x-2x+1 =2x-2x. 2 = 2x(1-2)

2x-2x+1 = 2x(-1)

2x-2x+1 = – 2x

Answer: (i) 5/6

(ii) 1/6

Step-by-step explanation:

Her money spent in clothes = 2/3

her money spent in internet cafe = 1/6

total fraction spent =

2/3 + 1/6

= 4+1/6

= 5/6

fraction left with her =

1 - (5/6)

= 1/6

Answer: (b)- 41.57

Step-by-step explanation:

Given

Dimension of Parallelogram is

[tex]\text{base b=8\ units}[/tex]

[tex]\text{length l=6 units}[/tex]

The area of a parallelogram is given by

[tex]\Rightarrow A=b\times h[/tex]

we need height for the area

From the figure, we can write

[tex]\Rightarrow \cos 30^{\circ}=\dfrac{AB}{6}\\\\\Rightarrow AB=6\cos 30^{\circ}=5.196[/tex]

and AB is the height of the parallelogram

[tex]\Rightarrow A=8\times 5.196=41.569\approx 41.57[/tex]

Answer:

A (x+y=2)

Step-by-step explanation:

in order to see the slope value and to turn the equation into the slope-intercept form (y=mx+b). Basically we just solve for y and look at the coefficient of x. Then to see the value of the x-intercept we need to give y zero and then solve for x.

a) x+y=2

y=-x+2 (slope is -1)

when y=0 ; 0=-x+2 ; x=2 (x-int=2)

b) x-y=-2

y=x+2 (slope≠-1, it is +1 so this not the answer)

c) x+y=-2

y=-x-2 (slope is -1)

when y=0 ; 0=-x-2 ; x=-2 (x-int≠2 it is -2 so this not the answer)

d) x-y=2

y=x-2 (slope≠-1, it is +1 so this not the answer)

the answer is A (x+y=2)

Answer:

x + y = 2.

Step-by-step explanation:

Using the standard form

y = mx + b

the equation is

y = -1x + b  

Now as the x intercept is (2, 0),  x = 2 when y = 0 so:

0 = -1(2) + b

2 = b

b = 2

so we have

y = -x + 2

y + x = 2.

Answer:

[tex]y = 3x - 6[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (4,6)[/tex]

[tex](x_2,y_2) = (3,3)[/tex]

Required

Equation in slope intercept

First, calculate the slope.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{3-6}{3-4}[/tex]

[tex]m = \frac{-3}{-1}[/tex]

[tex]m = 3[/tex]

The equation is:

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

[tex]y = 3(x - 4) +6[/tex]

[tex]y = 3x - 12+6[/tex]

[tex]y = 3x - 6[/tex]

Answer:

B

Step-by-step explanation:

Answer:

y=a+be^(-1/4t)

Step-by-step explanation:

We can solve the characteristic equation, 4r^2+r=0 to help.

Factor:

r(4r+1)=0

This implies r=0 or 4r+1=0.

The second equation can be solved by subtracting 1 on both sides and then dividing boths sides by 4 like so:

4r+1=0

4r+1-1=0-1

4r=-1

4r/4=-1/4

r=-1/4

So r=0 and r=-1/4 which means the general solution is y=ae^(0t)+be^(-1/4t)

Simplifying gives y=a+be^(-1/4t) since e^0=1.

Let's check our solution.

y=a+be^(-1/4t)

y'=0+-1/4be^(-1/4t)

y''=0+1/16be^(-1/4t)

Plug in:

4y''+y'=0

4*1/16be^(-1/4t)+-1/4be^(-1/4t)=0

1/4be^(-1/4t)+-1/4be^(-1/4t)=0

0=0 is a true equation so the solution has been verified.

Given:

The sequence is:

[tex]17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...[/tex]

To find:

The formula for the nth term in the given sequence.

Solution:

We have,

[tex]17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...[/tex]

The given sequence can be written as

[tex]\dfrac{17}{1^3},-\dfrac{17}{2^3},\dfrac{17}{3^3},-\dfrac{17}{4^3},\dfrac{17}{5^3},...[/tex]

The sign are alternative and the absolute value of each term can be defined by the expression [tex]\dfrac{17}{n^3}[/tex], where n is a natural number.

So, the required formula is:

[tex]a_n=(-1)^{n+1}\dfrac{17}{n^3}[/tex]

Therefore, the formula for nth term in the given sequence is [tex]a_n=(-1)^{n+1}\dfrac{17}{n^3}[/tex].

Answer:

d

Step-by-step explanation:

Step-by-step explanation:

y-2=2(x-0)^2

Vertex: (0,2)

Axis of Symmetry is x=0

Opens upward

Hope that helps :)

Answer:

272

Step-by-step explanation:

u do 68*4 because it said 4 times as  henery

Hope this helps

Answer:

272

Step-by-step explanation:

4 times 68 = 272

Answer:

l7l000heb java sis Skye eleven die die e she ie e right r

Step-by-step explanation:

hdhsv sjsuebso issue s s9s s si

Answer:

5520

Step-by-step explanation:

18×40÷2=360

48×41=1968

48×18=864

360+360+1968+1968+864=5520

Answer:

b. The p-value is greater than 0.05.

Step-by-step explanation:

When we are testing a hypothesis, we have to look at the pvalue.

If the pvalue is less than the significance level, the null hypothesis is not plausible. Otherwise, if the pvalue is more than the significance level, the null hypothesis is plausible.

In this question:

95% means that the significance level is of 1 - 0.95 = 0.05.

Null hypothesis being plausible means that the pvalue is greater than the significance level, that is, greater than 0.05. So the correct answer is given by option b.