this is the net of a triangular prism. to calculate the lateral surface area you should add the areas of which sides?
A. B,C, and D
B. A,C, and E
C. A,B,C,D, and E
D. A and E

Step-by-step explanation:

f=ka

36=9k

k=4

f=4×4

f=16

An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the expression (5x/x^2-1 )×(x+1/x^2) is 5/x(x-1).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The simplification of the given expression can be done as,

[tex]\dfrac{5x}{x^2-1} \times \dfrac{x+1}{x^2}\\\\=\dfrac{5x}{x^2-1^2} \times \dfrac{x+1}{x^2}\\\\=\dfrac{5x}{(x+1)(x-1)} \times \dfrac{x+1}{x^2}\\\\= \dfrac{5}{(x-1)x}[/tex]

Hence, the simplification of the expression (5x/x^2-1 )×(x+1/x^2) is 5/x(x-1).

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Answer:

23

Step-by-step explanation:

AB and BC are tangent to circle P, which means that both lines are congruent. Set AB and CB equal to each other:
2x-7=5x-52
3x=45
x=15
Plug 15 into AB:
2(15)-7 = 23
Length of AB is 23.

-> 3rd answer is correct

Check the picture below.

well, HIJK is a parallelogram only if its diagonals bisect each other, if that's so, the midpoint of HJ is the same as the midpoint of IK, let's check

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ H(\stackrel{x_1}{0}~,~\stackrel{y_1}{5})\qquad J(\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 4 + 0}{2}~~~ ,~~~ \cfrac{ -1 + 5}{2} \right)\implies \left( \cfrac{4}{2}~~,~~\cfrac{4}{2} \right)\implies \boxed{(2~~,~~2)} \\\\[-0.35em] ~\dotfill[/tex]

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ I(\stackrel{x_1}{3}~,~\stackrel{y_1}{3})\qquad K(\stackrel{x_2}{1}~,~\stackrel{y_2}{1}) ~\hfill \left(\cfrac{ 1 + 3}{2}~~~ ,~~~ \cfrac{ 1 + 3}{2} \right)\implies \boxed{(2~~,~~2)}[/tex]

Answer:

1. bisect each other 2. (2,2) 3. have the saem midpoint

Step-by-step explanation:

The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).

To determine if it is a parallelogram, use the converse of the parallelogram diagonal theorem. This states that if the diagonals

✔ bisect each other

, then the quadrilateral is a parallelogram.

The midpoint of HJ is

✔ (2, 2)

and the midpoint of IK is (2, 2).

Therefore, HIJK is a parallelogram because the diagonals

✔ have the same midpoint

, which means they bisect each other.

[tex]98n + 78 {x}^{2} (9)n - 36x[/tex]

the simplest form.

[tex]98n + 78 {x}^{2} (9)n - 36x[/tex]

[tex] = 98n + 702 {nx}^{2} + - 36x[/tex]

[tex] = 702 {nx}^{2} + 98n - 36x[/tex]

Answer: easy

28. H1:σ < 0.629, n=19, α = 0.025 it is a one(left) tailed test. with df = 19

Step-by-step explanation:

Answer:

8.231

Step-by-step explanation:

Just took the test

Answer:

Step-by-step explanation:

k/4+3=14

Move 3 over

k/4=11

Divide both sides by 4

k=11/4

k=2.75 or 2 3/4

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Solve for k.

[tex]\displaystyle\frac{k}{4} +3=14}[/tex]

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

First, subtract 3 on both sides:-

[tex]\dfrac{k}{4} =11[/tex]

Now multiply by 4 on both sides to get rid of the fraction:-

k=44

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The solution of the graphed system of equations y = -x² + x + 2 and y = -x + 3 is (1,2)

The system of equations is given as:

y = -x² + x + 2

y = -x + 3

From the graph in the complete question, we have the following point of intersection between the equations

(x,y) = (1,2)

The point of intersection between the equations is the solution

Hence, the solution of the graphed system of equations is (1,2)

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Answer:

(1,2)

Step-by-step explanation:

:)

Answer:

127

Please vote me Brailiest. Thank You.

Answer:

6 boxes

Step-by-step explanation:

2 boxes for each friend

:)

Answer:

So there's Artem and his 3 friends so thats 4 people and everyone wants 8 cookies each box has 4 cookies so he would buy 32 boxes.

Step-by-step explanation:

Answer:

The measure of dispersion that is influenced most by extreme values is range.

Step-by-step explanation:

Range is the most simple and commonly understandable measures of dispersion. Range is defined as the difference between the highest and lowest observed value in a series.

Step-by-step explanation:

the slope is always the ratio "y coordinate change / x coordinate change" when going from one point of the line to another.

so, when going from (-2, 3) to (-3, 1)

x changes by -1 (from -2 to -3).

y changes by -2 (from 3 to 1).

therefore, the slope is

-2/-1 = 2/1 = 2

Answer:

141°

Step-by-step explanation:

An octagon has 8 sides and 8angles so the sum of its interior angles is: (8-2)×180= 1080°

5x+133+16+126+162-12+30=1080°

5x=625

x=125°

x+16=141°

Answer:

4π

Step-by-step explanation:

the area (A) of each shaded sector is calculated as

A = area of circle × fraction of circle

the angle subtended at the centre of each sector = 180° - 160° = 20°

then area of 2 sectors

= 2 × π × 6² × [tex]\frac{20}{360}[/tex]

= 2 π × 36 × [tex]\frac{20}{360}[/tex]

= 2π × [tex]\frac{20}{10}[/tex]

= 2π × 2

= 4π

Answer:

the first blank is 120 then the second blank is 180

Step-by-step explanation:

For you to get those answers you can subtract 60 from 240 which gets you 180, then you subtract 60 again to get you 120, then again you will subtract 60 again and you will get 60.

7874

7874 rounded to 1 sf

if the previous digit is 5 or more round up, if not keep it as it is.

1 sf= 8000

therefore, 7874 rounded to 1 sf is 8000.

Answer:

8000

Step-by-step explanation:

Since the leftmost 7 is in the thousands place, you need to round the number to the nearest thousand. The digit to the right of the first 7 is an 8, so 7 goes up 1 to 8.

Answer: 8000

The equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

Let's suppose the equation that models the exponential decline is:

[tex]\rm y = a(b^x)[/tex]

From the data given, we can calculate the value of a and b:

a = 46348587109809610

b = 0.9861

y = 46348587109809610(0.9861)ˣ

Thus, the equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

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The speed of the wave whose wave equation :

y(x,t) =[tex](2.00 mm)[(20 m^{-1} )x - (4.0 s^{-1} ) t]^{0.5}[/tex]  is 0.20 m/s

speed = 0.20 m/s

The wave equation is a linear second-order partial differential equation which describes the propagation of oscillations at a fixed speed in some quantity y.

The wave equation is given by:

y(x,t) =[tex](2.00 mm)[(20 m^{-1} )x - (4.0 s^{-1} ) t]^{0.5}[/tex] .......................(1)

As we know that the standard form of wave equation is of the form is

On Comparing it with equation (1)

we have,

angular number, k=20

and, angular frequency, ω=4.0 rad/s.

Thus, the speed of the wave is

v=[tex]\frac{\omega}{K}[/tex]

=[tex]\frac{(4.0 rad/s) }{(20 m^{-1}) }[/tex]

=0.20 m/s

The speed of the wave of the wave equation

y(x,t) =[tex](2.00 mm)[(20 m^{-1} )x - (4.0 s^{-1} ) t]^{0.5}[/tex]  is 0.20 m/s

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Answer:

The vertex is (5, -9).

Step-by-step explanation:

One way of approaching this problem consists of finding the roots.  Seet the quadratic equal to zero and solve for x:  {2, 8}.

The axis of symmetry is exactly halfway between 2 and 8:  x = 5.

Now find the y-component of the vertex by evaluating f(5):

f(5) = (5 - 8)(5 - 2) = -9

The vertex is (5, -9).  This is the minimum value of the function.  The graph of this quadratic opens up.

Answer:

4.5 > x

Step-by-step explanation:

19 > 2x + 10

19 - 10 > 2x + 10 - 10

9 > 2x

9/2 >2x/2

9/2 > x

or

4.5 > x

Answer:

11 over 20

Step-by-step explanation:

There are 20 altogether and 9 are green and red 20 - 9 = 11

Answers:

If in the case you need any other help , let me know. [ You need to pay me] :) Thanks!

Answer:

b. 2 or more independent variables

Step-by-step explanation:

factorial designs give an opportunity to figure out what factorial design affect dependent variables.

Answer:

Answer A

Step-by-step explanation:

Normally, there is a large market of buyers and sellers for stocks and bonds. This means that you can buy and sell relatively easily. They are called "liquid assets" for the same reason.

Answer:

The value of x is 12.

Step-by-step explanation:

I took extra ciricular math classes in high school, So I am a pro at equations

Answer:

D

Step-by-step explanation:ik