Using a deck of 52 standard playing cards, find the probability for P(Queen, King, or Ace).

we have the equatiion

4x-5y=20

Convert to slope intercept form

y=mx+b

so

Isolate the variable y

step 1

subtract 4x both sides

4x-5y-4x=4x+20

simplify

-5y=-4x+20

step 2

Divide both sides by -5

so

-5y/-5=(-4x+20)/-5

simplify

There is no question, just some graphs, I can not explain if I don't know the question

ok

y = 2x

This is a positive line that increases from left to right, because the number 2 of the equation is positive.

So from the graphs that you send me, the right answer is the second one, it is an increasing line.

A graph increases from left to rigth if it goes up

A graph decreases from left to right if it goes down

Answer:

5rs^3t^2  cubed root rt

Step-by-step explanation:

so 5rs-cubed t-squared and inside the cube root is rt

Answer: $360

Step-by-step explanation: $1800 divided by 5 equals $360 in one year.  Hope it helps! :)

The equation 1st Row y = 3 x cubed minus 7 x squared 5 can be solved by using this system of equations,

What do you mean by  system of equations?

A group of equations comprising one or more variables is known as a system of equations.

The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

What three categories of equation systems are there?

There are three different sorts of solutions for two-variable linear equation systems.

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From the information available, pear trees are planted and as more of them are planted then more barrels of pears will be produced.

This means the number of barrels will DEPEND on the number of trees planted, whereas the number of trees planted can be any amount and does not depend on the number of barrels.

ANSWER:

P is independednt and B is dependent

Where

p = number of pear trees that have been planted in the orchard

b = the number of barrels of pears the orchad will produce

The perimeter of the given rectangle is 16r-14s centimeters.

Let width be represented by=w

Let length be represented by=l

Let perimeter be represented by=p

Then,

l=(r-5s)centimeters (Given in the question)

while w=(7r-2s)centimeters (Given in the question)

The formula for the perimeter of a rectangle= 2(l+b)

where l is the length while b is the breadth of the rectangle.

On putting values in the equation:

p=2(l+b)

p=2(l+w)

p=2[(7r-2s)+(r-5s)]

on opening the bracket 2 is multiplied by both terms.

p=2(7r-2s)+2(r-5s)

p=(2x7r-2x2s)+(2xr-2x5s)

p=(14r-4s)+(2r-10s)

p=14r-4s+2r-10s

p=14r+2r-4s-10s

p=14r+2r-(4s+10s)

p=14r+2r-(14s)

p=16r-(14s)

Thus,

p=16r-14s centimeters

The perimeter of the given rectangle is 16r-14s centimeters.

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[tex]\textit{internal division of a line segment using ratios} \\\\\\ X(1,-2)\qquad Z(11,3)\qquad \qquad \stackrel{\textit{ratio from X to Z}}{3:2} \\\\\\ \cfrac{X\underline{Y}}{\underline{Y} Z} = \cfrac{3}{2}\implies \cfrac{X}{Z} = \cfrac{3}{2}\implies 2X=3Z\implies 2(1,-2)=3(11,3)[/tex]

[tex](\stackrel{x}{2}~~,~~ \stackrel{y}{-4})=(\stackrel{x}{33}~~,~~ \stackrel{y}{9}) \implies Y=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{2 +33}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{-4 +9}}{3+2} \right)} \\\\\\ Y=\left( \cfrac{ 35 }{ 5 }~~,~~\cfrac{ 5}{ 5 } \right)\implies {\Large \begin{array}{llll} Y=(7~~,~~1) \end{array}}[/tex]

Answer:14

Step-by-step explanation

The answer is PROBABLY a whole number.

(2) 10^3 = 1000; 20^3 = 8000. So the number is between 10 and 20; and closer to 10.

(3) Of the possible answers 11, 12, 13, and 14, only one of them has units digit 4 when raised to the 3rd power.

Answer:

L=14m

Step-by-step explanation:

volume of a cube =L×L×L

V=L³

2744=L³

L=³√2744

L=14m

Step-by-step explanation:

answer

Are you clear your doubt with my answer?

Answer:

121cm^2

Step-by-step explanation:

44/4=11 so each side equals 11cm

to find the area multiply height by width

11*11=121

121cm^2

Answer:

x=2

Step-by-step explanation:

The required equation x = 2 has a linear graph that is parallel to the graph of the y-axis on the Cartesian coordinate system. which is the correct answer would be option (A).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

A vertical line is a line on the coordinate plane with all of its points having the same x-coordinate. When we plot the points for a function x = an on a coordinate plane, we discover that connecting the coordinates results in a vertical line.

As per the given question, we have

The required equation x = 2 is the required vertical line.

Thus, the required equation x = 2 has a linear graph that is parallel to the graph of the y-axis on the Cartesian coordinate system.

Hence, the correct answer would be an option (A).

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Consider the system of inequalities,

Simplify the first inequality as follows,

So, the solution to this inequality will be the set of points including and lying on the left of point 4 on the number line.

Simplify the second inequality as follows,

So, the solution to this inequality will be the set of points including and lying on the right of point -6 on the number line.

The solution to the compound inequality will be the common solution of both the inequalities, that is, the set of real numbers ranging from -6 to 4.

The solution can be seen on the number line as follows,

A' will be (-3,9)  B' will be (4,6) and C' will be (-5,-1). t are the coordinates of the vertices of aa'b'c' for the reflection rg.

A pair of numbers that specify where a point is situated on a coordinate plane using the horizontal and vertical separations from the two reference axes. usually represented by a pair of x-values and y-values (x,y).

In this problem, basically you have three points and 6 straight lines(4 described in the problem and x and y axis) in a 2-D plane. You have to find the reflection of these three points with respect to these 6 lines one by one.

Points are:

A(9,-3)

B(6,4)

C(-1,-5)

Case 1:

Line is X-axis  i.e.  y  =  0.

If you take reflection about x-axis then you can observe that the x - co-ordinate will remain same while y-co-ordinate will change its sign.

So A' will be (9,3), B' will be (6,-4) and C' will be (-1,5)

Case 2:

Line is y-axis  i.e.  x = 0

Here the analogy will remain same except here the y - co-ordinate will remain same and x - co-ordinate will change ite sign.

So, A' will be (-9,-3)  B' will be (-6,4) and C' will be (1,-5).

Case 3:

Reflection about line "m"  i.e.  x = -5

This is a vertical line. Suppose the point whose reflection is to be found about is line is at a perpendicular distance of "k" from the line on right side, then its reflection will be "k" distance on the left from this line on the same horizontal line. So y-co-ordinate will not change.

For A(9,-3), it is at a distance of 14 units from the line on the right side so its reflection will be 14 units on the left with same y - co-ordinate. So its x - co-ordinate will be -5-14  =  -19

So A' will be (-19,-3)

Similarly for B,  B' will be (-16,4) and C' will be (-9,-5).

This graph will help you understand better.

The red line is x  =  -5.

The case for line y = 1 and y = -2 will be similar.

Case 5:

Reflection about the line y  =  x

photos are attached .............

So, A' will be (-3,9)  B' will be (4,6) and C' will be (-5,-1).

We can use these two observations to find the reflection of any point about any line:

(i) The midpoint of the given point and the reflection point will lie on the given line about which the reflection is to be found.

(ii) The product of slope of given line and the line joining the given point and the reflection point is -1.

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a) Remember that the coordinates for any given point in the cartesian system have two components, one in the X axis and the secon one in the Y axis. (X,Y)

The coordinates for P and Q are:

P (b,a)

Q(d,e)

b) If you have the formula for the function, you'll se that to determine the value on the Y axis for a given value of X you have to replace that value in the formula. This means that Y= f(x).

In this example the value of Y for X=b is equal to a, so f(b)= a

c) For f(x)=e, you have to identify the value of x that croses to Y=e, in this grapfic that value is d

d) f(z)=c and f(x)=z

If you watch the graphic, c is in the y-axis, this means that the x value of its coordinate is zero. So z=0

Now for f(x)=z, this means that you have to find the value of x when the value of Y is zero. To determine this value you have to see where the function crosses the X-axis.

The function crosses the X-axis in point h, so when f(x)= z, x=h

e) If f(b)=-f(d) this means that both |b| and |d| are equal, you can express it as:

b=-d

The option-C is correct, that is 1 to 10 millimeter per year fast is soil creep.

Given that,

In the picture we can see the options.

We have to select the correct option for the given question.

The slow, downward movement of rock and soil down a low grade slope is known as downhill creep, sometimes referred to as soil creep or simply creep. Downhill creep can also refer to the slow deformation of such materials as a result of persistent strain and tension. While creep may appear continuous to the spectator, it actually represents the accumulation of multiple little, discontinuous movements of slope material produced by gravity.

Therefore, The option-C is correct, that is 1 to 10 millimeter per year fast is soil creep.

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Answer:

38.461538

Step-by-step explanation:

They took 10 years to repay the loan.

Given, Andrettis borrowed $25,000 to renovate their kitchen with a 4.5% annual simple interest rate.

Interest he paid was, $11250

Now, we have to find the time period,

As, Simple Interest = (Principal×Rate×Time)/100

11250 = (25000×4.5×t)/100

11250 = 25×45×t

t = 10

Hence, they took 10 years to repay the loan.

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We will have the following:

So, its zeros are x = -3, x = 0 & x = 3.

Hello!

As this exercise informs the approximate heights, you can consider just this value (don't need to write two heights in this case).

To make this chart, I used the heigths:

• Mercedario: 6770m

• Misti, Volcán: 5820m

• Pular: 6230m

• Sajama: 6520m

• Talima: 5220m

Look at the chart below:

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-19}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-19}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{2}}} \implies \cfrac{-19 +7}{3} \implies \cfrac{ -12 }{ 3 } \implies - 4[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{- 4}(x-\stackrel{x_1}{2}) \implies y +7 = - 4 ( x -2) \\\\\\ y+7=-4x+8\implies {\Large \begin{array}{llll} y=-4x+1 \end{array}}[/tex]

Calculate the height of the upper triangle, using the Pythagoras theorem

The length of the vertical diagonal = 2 x 24

The length of the vertical diagonal = 48m

The investment amount that the bank president should make in the bonds so that the total earnings from the two investments will be at least $80,000 is $132,000.

The earnings from the second investment are the difference between the total expected earnings and the first investment's earnings.

Using the above difference obtained by subtraction, the investment amount is computed by dividing the difference by the annual interest rate.

The total earnings from the two investments ≥ $80,000

The profits from one investment = $47,000

The earnings from the second investment should be ≥ $33,000 ($80,000 - $47,000)

The annual interest rate on municipal bonds = 25%

The investment amount = $132,000 ($33,000 ÷ 25%)

Thus, if $132,000 were invested in municipal bonds at 25% interest, its annual earnings would be $33,000.

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Answer:

m = 45h

Step-by-step explanation:

Calculate the difference in y-values (miles):

[tex]45 \underset{+45}{\longrightarrow} 90\underset{+45}{\longrightarrow} 135\underset{+45}{\longrightarrow} 180[/tex]

As the number of miles increases by the same amount for every increase of an hour, the equation is linear.

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Given variables:

As the number of miles increases by 45 miles for each increase of an hour, the slope of the linear equation is 45:

[tex]\implies m=45h+b[/tex]

To find b, substitute one of the ordered pairs into the equation and solve for b:

[tex]\implies 45=45(1)+b[/tex]

[tex]\implies 45=45+b[/tex]

[tex]\implies b=45-45[/tex]

[tex]\implies b=0[/tex]

Therefore, the equation using the variables h and m that represents the information in the given table is:

[tex]\boxed{m=45h}[/tex]

The standard form of a graph that passes (-3,4) and has a slope of [tex]\frac{3}{2}[/tex] is

The standard form of the graph can be found as follows:

The point-slope form of a graph is

[tex](y-y_{1})=m(x-x_{1})[/tex]

where [tex](x_{1}, y_{1})[/tex] is the point that passes the graph and m is the slope.

Substitute [tex]x_{1}=-3[/tex], [tex]y_{1}=4[/tex], and m=[tex]m=\frac{3}{2}[/tex] into point slope form.

[tex](y-4)=\frac{3}{2} (x-(-3))[/tex]

Simplify the equation.

[tex]y-4=\frac{3}{2} (x+3)[/tex]

Multiply both sides by 2

[tex]2(y-4)=3(x+3)[/tex]

Simplify.

[tex]2y-8=3x+9[/tex]

Add both sides by 8.

[tex]2y=3x+17[/tex]

Subtract both sides by 3x

[tex]2y-3x=17[/tex]

Multiply by -1.

[tex]3x+2y=-17[/tex]

Remember the standard form of the graph is:
Ax+By=C

Then, the standard form of the linear equation is A. [tex]3x-2y=-17[/tex].

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Answer:

7/16

Step-by-step explanation:

To find the answer, simply just add the numbers together:

For the numerators:

4 + 3 = 7

For the denominators:

9 + 7 = 16

So, we have 7/16 because this cannot be simplified down anymore.

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Answer:

Exact Form:

55/63

Decimal Form:

¯¯¯¯¯¯¯¯¯¯¯¯

0.873015

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Well, since t = time in air, we already know that it traveled 2 seconds.

H = height in meters, and H = 18

So, after 2 seconds the object is 18m in the air

So, option D

Recall, 1 ton = 1000 kg

This means that

1 kg = 1/1000 = 0.001 tons

If

1 kg= 2.2046 lbs, it means that

0.001 tons = 2.2046 lbs

Producing cost:

Revenue:

The profit (P) is equal to substract the producing cost for the revenue:

You can write also as:

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

P=50:

To solve for x:

Substract 50 in both sides of the equation:

Use the quadratic formula:

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

P=2500

Solve for x:

As the number under the square root is a negative number the equation has no solution (value of x) in the real numbers.