Find the mean of the 32 numbers, such that if the mean of 10 of them is 15 and the mean of 20 of them is 11. The last two numbers are 10.

Answer:  C

Step-by-step explanation:

Translating  A'B'C' to A''B''C'' doesn't change the position of the vertices  and to make it smaller you have dilate the figure because that is the only way to change the size of a shape.  

.Reflecting the figure  changes the position of the vertices so A and D can't be an answer choice.

Answer:

9. a₁ = 13, aₙ = aₙ₋₁ × (-2)

10. aₙ = 2 (-3)ⁿ⁻¹

Step-by-step explanation:

9. aₙ = 13 (-2)ⁿ⁻¹

This is a geometric sequence where the first term is 13 and the common ratio is -2.

So the recursive formula is:

a₁ = 13, aₙ = aₙ₋₁ × (-2)

10. a₁ = 2, aₙ = aₙ₋₁ × (-3)

This is a geometric sequence where the first term is 2 and the common ratio is -3.

So the explicit formula is:

aₙ = 2 (-3)ⁿ⁻¹

Answer:

3. [tex]\overline{PM}\cong \overline{ON}[/tex] Distances between two parallel lines [tex]\overline{MN} \ and\ \overline{PO}[/tex]

4. [tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Reason; Corresponding part of ΔACB and ΔDCE

C is the midpoint of [tex]\overline{AE}[/tex]: Reason;  [tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Definition of midpoint

Step-by-step explanation:

3. A parallelogram is defined as a quadrilateral with two opposite sides equal and parallel and having equal opposite interior angles

MNOP is a parallelogram: Reason; Given

[tex]\overline{PM}\left | \right |\overline{ON}[/tex] : Reason; Opposite sides of a parallelogram

∠NOM ≅ ∠OMP: Reason Alternate interior angles

[tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Opposite sides of a parallelogram

∠NMO ≅ ∠MOP: Reason Alternate interior angles

[tex]\overline{PM}\cong \overline{ON}[/tex] Distances between two parallel lines [tex]\overline{MN} \ and\ \overline{PO}[/tex]

4. [tex]\overline{AB}\left | \right |\overline{DE}[/tex] : Reason; Given

∠EAB ≅ ∠AED: Reason; Alternate int. ∠s Thm

∠ABC ≅ ∠EDB : Reason; Alternate int. ∠s Thm

C is the midpoint of  [tex]\overline{BD}[/tex]: Reason; Given

[tex]\overline{BC}[/tex] = [tex]\overline{CD}[/tex]: Reason; Definition of midpoint

Therefore, ΔACB ≅ ΔDCE: Reason Angle Angle Side (AAS) Theorem

[tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Reason; Corresponding part of ΔACB and ΔDCE

C is the midpoint of [tex]\overline{AE}[/tex]: Reason; Definition of midpoint

Answer:

Yes

Step-by-step explanation:

Yes, M is the midpoint of AB.

The length of the whole line AB is 44. So, if any midpoint is drawn on it, The two parts of the line will be equal and half of the total lines measure.

Whole line's measure = AB = 44

If any Midpoint say "M" is drawn on it, the measures of divided line would be halved.

AM = BM = 44/2 = 22

Answer:

= 12.56 m

Step-by-step explanation:

The circumference is found by

C = 2* pi *r

C = 2 * 3.14 * (2)

   = 12.56 m

Answer:

12.56 meters

Step-by-step explanation:

The circumference of a circle can be found using the following formula.

c= d* pi

We are given the radius. First, we must find the diameter. The diameter is twice the radius.

d=2*r

We know the radius is 2 meters. Therefore, we can substitute 2 in for r.

d=2*2

Multiply 2 and 2

d=4

The diameter is 4 meters.

Now we know the diameter, and can substitute 4 in for d in the circumference formula.

c= d* pi

d= 4 m

c= 4 m* pi

We also know we are using 3.14 for pi, so we can plug 3.14 in for pi.

c= 4 m * 3.14

c=12.56 m

The circumference of the circle is 12.56 meters.

Answer:

499/36

Step-by-step explanation:

If you find the LCM of all fractions and add them then you get 279/36+204/36+16/36 which is equal to 499/36

Answer:

Its B or 13

Step-by-step explanation:

Answer:

y = ln(x) + 4

Step-by-step explanation:

Fastest way to do this is to graph each equation into a graphing calc and match it with the given graph.

Answer:

A.

Step-by-step explanation:

The question is asking what the x value is when y = 8. You look for a coordinate with a y-value of 8: (x, 8). When you trace the graph, you should see that y = 8 intersects x = 3, and A is your answer.

Answer:

[tex]2y = -3x+7[/tex]

Step-by-step explanation:

The coordinates are (3,-1) and (-1,5)

Finding the slope :

Slope = [tex]\frac{rise}{run}[/tex]

Slope = [tex]\frac{5+1}{-1-3}[/tex]

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

Slope = [tex]-\frac{3}{2}[/tex]

Now Finding y-intercept.

For this, we'll take any point

Let it be (3,-1)

So,

Point = (x,y) = (3,-1)

=> x = 3, y = -1

Putting in slope intercept form to get b

=> [tex]y = mx+b[/tex]

=> -1 = (3)([tex]-\frac{3}{2}[/tex]) + b

=> b =  -1 +  [tex]\frac{9}{2}[/tex]

=> b = [tex]\frac{7}{2}[/tex]

Putting m and b in the slope intercept form to get the required equation of line

=> [tex]y = mx+b[/tex]

=> [tex]y = \frac{-3x+7}{2}[/tex]

=> [tex]2y = -3x+7[/tex]

Answer:

they are 2 lines that look ;like this =

Step-by-step explanation: the 2 lines of the equal sign are parallel

Hey there! :)

Answer:

(2, -2)

Step-by-step explanation:

-2x + y = -6

4x + 3y = 2

We can begin by setting the first equation equal to y:

-2x + y = -6

Add 2x to both sides:

y = 2x - 6

Plug this equation for y into the second equation:

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

Distribute:

4x + 6x - 18 = 2

Combine like terms:

10x = 20

x = 2

Plug the value of 'x' into an equation to solve for 'y':

-2(2) + y = -6

-4 + y = -6

y = -2

Therefore, the solution is (2, -2)

Answer:

The sum after the second year is rs.4752

Step-by-step explanation:

The interesting thing about solving for compound interest problems is understanding that the principal changes every year.

To solve this problem, we will break it into two years and solve for each year, so we can obtain the final sum to be paid at teh end of the second year.

Please note:

P = principal {the original sum invested}

R = rate of interest.

T= time required to pay back

Sum after the First Year:

Interest = [tex]\frac{P \times R \times T}{100}=\frac{4000 \times 8 \times 1}{100}=320[/tex]

Therefore his money after the first year is got by adding the interest of 320 to the initial principal which will givers. 4320.

After the first year, the money that will be used to calculate the new interest paid will be this rs.4320 obtained at the end of the first year.

Sum after the second Year

Interest =[tex]\frac{P \times R \times T}{100}=\frac{4320 \times 10 \times 1}{100}=432[/tex]

Sum = 4320+432 = rs.4752

Hence, the sum after the second year is rs.4752

Answer:

14

Step-by-step explanation:

From the question we are given the first term 8,second term 11 and we are to find the third term.

Using the formula:Tn=a+(n-1)d

Where a=first term=8

n=number of terms =3

d= difference between terms( second term -first term)=11-8=3

T3=8+(3-1)3

=8+2(3)

=8+6

The next term =14

Answer:

Sorry your mouse is blocking the fx equation. Is it x squared? I can't help you if I can't see what the equation is I'm sorry

Step-by-step explanation:

Answer:

sin(g) = x/z

Step-by-step explanation:

Sine is opposite over hypotenuse. Our opposite is x and our hypotenuse is z. Therefore, our answer is sin(g) = x/z

Answer:  x=3.537715

Step-by-step explanation:

5x+3=300

5x+3+−3= 300+ −3

5x=297

Step 2: Solve Exponent.

5x=297

x=3.537715

Hope this helps :)

Answer:

Step-by-step explanation:

|7-10|=3

absolute value of any number is always positive

Answer:

-3

Step-by-step explanation:

As the equation is written, you will be subtracting 10 from 7.

Subtract 10 from 7 and you will go past 0.

Your answer will be negative.

Answer:

Area of ΔXYZ = 35.499 cm²

Step-by-step explanation:

From the figure attached,

In triangle XOY,

Sin38° = [tex]\frac{\text{OX}}{\text{XY}}[/tex]

OX = (XY)Sin38°

OX = (9.3)Sin38°

      = 5.7257 cm

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                             = [tex]\frac{1}{2}(\text{YZ})(\text{OX})[/tex]

                             = [tex]\frac{1}{2}(12.4)(5.7257)[/tex]

                             = 35.499 square cm

Therefore, area of the given triangle XYZ = 35.499 cm².

Step-by-step explanation:

Graphing Linear Inequalities

This is a graph of a linear inequality:

linear inequality y <= x +2

The inequality y ≤ x + 2

You can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2

Linear Inequality

A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...

... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.

How to Graph a Linear Inequality

First, graph the "equals" line, then shade in the correct area.

There are three steps:

Rearrange the equation so "y" is on the left and everything else on the right.

Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade above the line for a "greater than" (y> or y≥)

or below the line for a "less than" (y< or y≤).

Let us try some examples:

Example: y≤2x-1

1. The inequality already has "y" on the left and everything else on the right, so no need to rearrange

2. Plot y=2x-1 (as a solid line because y≤ includes equal to)

Answer:

3 3/4

Step-by-step explanation:

1 5/12 2 1/3

First, we must convert the fractions to have the same denominator.

We can turn 2 1/3 is equal to 2 4/12.

1 5/12 + 2 4/12 = 3 9/12

Now we simplify.

3 9/12 = 3 3/4

Answer:

three-fifths times a number is 15

Step-by-step explanation:

let the unknown number be x

based on the answer above:

3/5 × x = 15

3/5x = 15

Answer: C is the correct answer

Step-by-step explanation:

Answer: -7

Step-by-step explanation:

-3 is across from -7 on the chart, so -7 is the x that houses with the f(x) -3

Answer:

Given

Step-by-step explanation:

Consider triangle ABD and triangle DCA,

AC=BD ( given that they are diameters)

Diameters of the same circle are equal

AD=AD (common side for both triangles)

<BAD= <CDA (angles in semicircles are 90°)

So since the right angle, hypotenuse and side are equal..

ABD is congruent to CDA

(Rhs congruence rule)

Hence proved..

3,750 yearly

Step-by-step explanation:

25000 wolves x 15% yearly =

25000 + 3750 yearly = 28750 1st year account

Answer:

D

Step-by-step explanation:

Answer:

Dear user,

Answer to your query is provided below

Pages full = 13

Card on last page = 1

Step-by-step explanation:

Rafael has 118 baseball cards.

Each album can hold 9.

So, using multiples of 9 or by dividing 118/9

That 1 is remainder.

So, cards on last page is 1

Verify ,

Pages full = (118-1)/9 = 13

Answer:

f(3) = 22

Step-by-step explanation:

f(x) = 2x^2 + 4

=>f(3) = 2(3)^2 + 4

         = 2(9) + 4

         = 18 + 4

         = 22

They are Parallel, Intersecting, and perpendicular, if it's helpful let me know