La suma de las edades de A y B es 23 años y el producto es 102 años. Hallar ambas edades

Answer:

The correlation coefficient "tell us" that the model in question does not fit the data well (the correlation coefficient is near zero), in whose case we need to find another that can do it.

Step-by-step explanation:

Roughly speaking, the correlation coefficient "tell us" if two variables could present the following behavior:

As we can follow from the question, a correlation coefficient of 0.02 is near to zero. In this case, the correlation coefficient is "telling us" that the two variables do not follow the cases 1 and 2 above described. Instead, it follows the case 3.

Therefore, the model in question does not fit the data well, in whose case we need to find another that can do it. For example, if the model is linear, we need to test an exponential model.

It is important to remember that the correlation coefficient does not tell us anything about that one variable causes the other variable, only behaviors as described above.

Answer:

Let's solve for the radius.

r = C / 2π = 88 / (2 * 22/7) = 14

Volume of a cone = 1/3 * πr²h

= 1/3 * 22/7 * 14² * 15

= 3080 cm³

Answer:

The value of x is as follows:

Exact form: x = 27/16

Decimal form: x = 1.6875

Mixed number form: x = 1 & 11/16

Answer:

x=27/16 or x= 1.6875

Step-by-step explanation:

2x + 12x + 2 + 2x =29

16x + 2 =29

16x =29 - 2

16x= 27

x = 27/16 or 1.6875

Answer:

B. rotation 90° counterclockwise about the origin.

Step-by-step explanation:

Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.

Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.

In the given question, ∆ABC is  mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.

The correct option is (B). rotation 90°counterclockwise about the origin.

Given, ∆ABC and ∆A'B'C' are shown in attached figure.

We have to map ∆ABC onto ∆A'B'C',.

A transformation is a general term for four specific ways to manipulate the shape and or position of a point, a line, or geometric figure.

Transformation is  also the process by which the size or orientation of a given figure is altered without any effect on its shape.

A rotation is a transformation in which the object is rotated about a fixed point.The direction of rotation can be clockwise or anticlockwise.

It is clear from the fig that the ∆ABC can be mapped over ∆A'B'C' by the rotation of  90°counterclockwise about the origin.

Hence the correct option is (B). rotation 90°counterclockwise about the origin.

For more details follow the link:

https://brainly.com/question/1571997

Answer:

31.76 ft and 58.64 ft

Step-by-step explanation:

The radius measures between 13 feet and 24 feet.

The wheel is able to turn 7π/9 radians before getting stuck.

We need to find the range of distances that the wheel could spin before getting stuck. That is, the length of arc.

Length of an arc is given as:

[tex]L = \frac{\theta}{2\pi} * 2\pi r[/tex]

where θ = central angle = 7π/9 radians

r = radius of the circle

Therefore, for 13 feet:

[tex]L = \frac{7\pi}{18 \pi} * 2 * \pi * 13\\\\L = 31.76 ft[/tex]

For 24 feet:

[tex]L = \frac{7\pi}{18 \pi} * 2 * \pi * 24\\\\L = 58.64 ft[/tex]

The wheel could spin between 31.76 ft and 58.64 ft before getting stuck.

Answer:

90

Step-by-step explanation:

You're equation is a * b, and that is equal to 6 * 15.

so, it is 90.

Answer:

A

Step-by-step explanation:

Given

8 - 2x + 6x = 24 , that is

8 + 4x = 24 ( subtract 8 from both sides )

4x = 16 ( divide both sides by 4 )

x = 4 → A

Answer:

she needs to save up for 3 months

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

150° is in the second quadrant.

To find the reference angle in the first quadrant subtract from 180°

reference angle = 180° - 150° = 30°

Answer:

-180-x

Step-by-step explanation:

Answer:

Step-by-step explanation:

complete the circle and place the segment where point Q on R, and P on the arc of circle

When you copy a line from one position to another, it means you want to recreate the original line in the new position.

The endpoints of a compass are:

The following steps would allow you to copy line segment PQ to endpoint R.

Using the above explanation to analyze the attached figure;

You still need to label the line as PQ, for the figure to be completely correct.

Read more about copying line segments at:

https://brainly.com/question/3950969

Answer:

Option (4)

Step-by-step explanation:

Given : XZ ≅ DF and ∠X ≅ ∠D

To prove : ΔXYZ ≅ ΔDEF

Statements                               Reasons

1). XZ ≅ DF                                 1). Given

2). ∠X ≅ ∠ D                              2). Given

3). XY ≅ DE                                3). Required information

4). ΔXYZ ≅ ΔDEF                      4). By SAS property of congruence

Therefore, Option (4) will be the answer.

Answer:

24 minutes

Step-by-step explanation:

Fred can mow a lawn in 60 minutes.

Fred's Rate  [tex]=\frac{1}{60}[/tex]

Rocky can mow the same lawn in 40 minutes.

Rocky's rate [tex]=\frac{1}{40}[/tex]

Let the time it will take both of them = x minutes

Therefore:

[tex]\frac{1}{60}+\frac{1}{40}=\frac{1}{x}\\$Multiply all through by 1200$\\1200\times \frac{1}{60}+1200\times\frac{1}{40}=1200\times\frac{1}{x}\\20+30=\frac{1200}{x}\\50=\frac{1200}{x}\\$Cross multiply\\50x=1200\\Divide both sides by 50\\x=24\\[/tex]

It would take the two of them 24 minutes to mow the lawn.

Answer:

x > 5

Step-by-step explanation:

14-3x< -1

Subtract 14 from each side

14-3x-14< -1-14

-3x < -15

Divide each side by -3, remembering to flip the inequality

-3x/-3 < -15/-3

x > 5

Answer:

x>5

Step-by-step explanation:

14-3x<-1

What we need to do here is to isolate x.

Let's subtract 14 from both sides.

14-14-3x<-1-14

-3x<-15

Divide both sides by 3.

-x<-5

Divide both sides by -1.

Note that when you divide an inequality by a negative number, you have to flip the sign.

x>5

Answer:

i belive it is either 3 students or 8 cuz the numbers confued

me

Answer:  The last choice is correct [tex]\frac{9}{\sin\left(60\right)}[/tex]

Step-by-step explanation: The information given in the diagram: AB is the hypotenuse of a right triangle, and the side opposite the 60° angle is 9 feet. you can use sine = 0pposite/Hypotenuse

You can find the sine of 60° which is the value of the ratio of the opposite side to the (unknown) hypotenuse.  sin 60° = 0.866

You can set up the equation on a scientific calculator as [tex]\frac{9}{\sin\left(60\right)}[/tex]  but to see the logic use the value   0.866 = 9/h

reorganize to solve for h: divide both sides by 0.866 and multiply both by h to get  

h = 9/0.866   solving that you get the length of AB

h = 10.393, which, rounded, is a logical length for the brace on the gate:

 10.4 feet

Answer:

x=-14 and y = 9

Step-by-step explanation:

hello

4x + 8y = 8 <=>  divide by 4 both parts

(1) x + 2y = 4

(2) x + 3y = 13

(2) - (1) gives

x + 3y -x - 2y = 13 - 4 = 9

<=> y = 9

we replace in (1) x + 2*9 = 4

<=> x = 4 - 18 = -14

so x = -14

hope this helps

Answer:

pretty sure it would be 4/45. hope this helps!

Answer:

C

Step-by-step explanation:

The set of points with the same x has an undefined slope

Answer:

C.  (-3, -3) and (-3, 3)

Step-by-step explanation:

(-1, 1) and (1, -1)

Slope  = (-1-1) / (1 - (-1))

= -2 / 2 = -1.

(-1,2) and (2,2)

Slope = ( 2-2)/ ( 2 - -2)

= 0

(-3, -3) and (-3, 3)

Slope =  (3 - -3) / (-3 - (-3)

= 6 / (-3+3)

= 6/0  -  UNDEFINED.

The line joining these points is vertical.

The range of a function may refer to either of two closely related concepts: The codomain of the function The image of the function

MARK BRAINLIEST PLEASE DEAR...THANKS I LOVE U

Answer:

The answer is

Step-by-step explanation:

(x+3)(2x-4)(x-6)

Expand

We have

(x + 3) ( 2x² - 12x - 4x + 24)

(x + 3)( 2x² - 16x + 24)

2x³ - 16x² + 24x + 6x² - 48x + 72

Simplify

Group like terms

2x³ - 16x² + 6x² + 24x - 48x + 72

We have the final answer as

Hope this helps you

Answer:

The measurement of angle x is 30°

Step-by-step explanation:

In the diagram, we are given some measurements. We are asked to find the measurements of angle x. There are also some important information to know when looking at this picture. Alternate angles are congruent and vertical angles are congruent.

Angle x is alternative to angle B so this makes them congruent.

So, the measurement of angle x is 30°

Answer:

Using 3.14  for pi

835.24 cm^2

Using the pi button for pi

835.6636459 cm^2

Step-by-step explanation:

The surface area of a cylinder is given by

SA = 2 pi r^2 + 2 pi r h

     = 2 * pi ( 7)^2 + 2 pi ( 7) * 12

    = 98 pi + 168 pi

    =266 pi

Using 3.14  for pi

835.24 cm^2

Using the pi button for pi

835.6636459 cm^2

Answer:

226[tex]\pi[/tex] or 835.664

Step-by-step explanation:

Surface area of a right cylinder= 2πrh+2πr^2

=2π7✖️12+2π49

=226π

Hope this helped, and have a nice rest of your day!

Explanation:

The distance we're after is the vertical distance from the point to the line. So we only care about the difference in y values from y = -19 to y = 3

You can count out the spaces or use subtraction along with absolute value

distance from P to Q = |P-Q|

distance from -19 to 3 = |-19-3|

distance from -19 to 3 = |-22|

distance from -19 to 3 = 22

The absolute value is to ensure the result is never negative.

Answer:

Step-by-step explanation:

What sis line of best fit?

The line of best fit may be explained as a straight line which is drawn to pass through a set of plotted data point which gives the best and most approximate relationship between the data points. A line of best fit is required to give the best approximate value between the set of plotted data points such that it allows making inference on new data points while also ensuring the least possible deviation from the original data points.

Why do we want the sum of the residuals to be as close to zero as possible?

The line of best fit will be the line which gives the least value of residual error. The residual error is reffered to as the difference between the line drawn and the individual data point plotted. These errors are squared and summed together, the line which produces the least residual error is Considered as the leading ne of best fit for the data.

We want the sum of our residual error to be as close to zero as possible, this is to reduce the deviation between our original or plotted data and the modeled data produced by our line of best fit.

Answer:

Step-by-step explanation:

We wan the residuals to be closest to zero because they will help use later in the equation.

Answer:

x = -1/4(y +3)2 - 2.

Step-by-step explanation:

Here are the steps:

Find if parabola is horizontal or vertical

Find vertex and substitute into equation of step 1

Use another point to find a in the equation.

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

Parabola is obviously vertical.

that means we use x = a(y - k)2 + h

Our vertex is (-2,-3), and it's also (h, k)

so, our current equation is x = a(y - -3)2 - 2 and if we simplify it,

we get x = a(y +3)2 - 2.

It's not over yet, cuz we still need a.

so, we substitute in a point (x, y). We can use (-4, 1).

We plug in and get -4 = a(1 +3)2 - 2.

We solve like a one variable linear equation and get a = -1/4

Thus our equation is x = -1/4(y +3)2 - 2.

Answer:

x+3

Step-by-step explanation:

notice how each time you add three

how did I khew that we add 3?

simply by substracting a term from the next one

so 8-5= 3

Answer:

So for the first few small values of n, we have proven by demonstration that f(n) = n / (n+1).

Our task is to prove that if it works for any positive integer value of n, then it works for n + 1. This way, it must by induction work for all subsequent values of n.

Formally said, we need to prove that if for some positive integer n we can show that f(n) = n / (n+1), then we can conclude that f(n+1) = (n + 1) / (n + 2).

We begin the real "proof" by expanding f(n + 1):

f(n + 1) = f(n) + 1 / ((n+1)((n+1)+1)) because that's based on the construction.

= n / (n+1) + 1 / ((n+1)(n+2)) because f(n) = n / (n+1); this is called "using what you know from earlier".

= n(n+2) / ((n+1)(n+2)) + 1 / ((n+1)(n+2)) because we can multiply the left fraction by (n+2)/(n+2).

= (n2 + 2n + 1) / ((n+1)(n+2)) because we have a common denominator and can combine the numerators.

= (n+1)2 / ( (n+1)(n+2)) because we can factor the numerator now; it is a perfect square.

= (n+1) / (n+2) because we can cancel the common (n+1) factor from the numerator and denominator.

Q.E.D. (which means "that which was to be proven", in other words: "voilà")

Step-by-step explanation:

Answer:

Limit [tex]$\lim_{x \to 0} f(x)$[/tex] does not exist.

Step-by-step explanation:

To calculate left hand limit, we use a value slightly lesser than that of 0.

To calculate right hand limit, we use a value slightly greater than that of 0.

Let h be a very small value.

Left hand limit will be calculate at 0-h

Right hand limit will be calculate at 0+h

First of all, let us have a look at the value of f(0-h) and f(0+h)

[tex]f(0-h)=f(-h) = \dfrac{-h}{|-h|}\\\Rightarrow \dfrac{-h}{h} = -1[/tex]

[tex]f(0-h)=-1 ....... (1)[/tex]

[tex]f(0+h)=f(h) = \dfrac{h}{|h|}\\\Rightarrow \dfrac{h}{h} = 1[/tex]

[tex]f(0+h)=1 ....... (2)[/tex]

Now, left hand limit:

[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = [tex]$\lim_{h \to 0} f(0-h)$[/tex]

[tex]\Rightarrow[/tex] [tex]$\lim_{h \to 0} f(-h)$[/tex]

Using equation (1):

[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = -1

Now, Right hand limit:

[tex]$\lim_{x \to 0^{+} } f(x)$\\[/tex] = [tex]$\lim_{h \to 0} f(0+h)$[/tex]

[tex]\Rightarrow[/tex] [tex]$\lim_{h \to 0} f(h)$[/tex]

Using equation (2):

[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = 1

Since Left Hand Limit [tex]\neq[/tex] Right Hand Limit

So, the answer is:

Limit [tex]$\lim_{x \to 0} f(x)$[/tex] does not exist.

Answer: 56g flour

Step-by-step explanation: 140/20 = 7g

7 x 8 = 56g