please answer this!!!

Given:

The combination is:

[tex]^{34}C_{21}[/tex]

To find:

The [tex]^{34}C_{21}[/tex] as the sum of two terms from pascals triangle.

Solution:

According to the pascals triangle:

[tex]^{n+1}C_{r+1}=^nC_r+^nC_{r+1}[/tex]

We have,

[tex]^{34}C_{21}[/tex]

Using the pascals triangle formula, we get

[tex]^{34}C_{21}=^{33}C_{20}+^{33}C_{21}[/tex]

Therefore, [tex]^{34}C_{21}=^{33}C_{20}+^{33}C_{21}[/tex].

Answer:

Step-by-step explanation:

starting point: 140 feet below sea level.=-140

she then decends= 7(4.5)=31.5

-140-31.5=-171.5

finally she ascends 112.2 feet

-171.5+112.2=-59.3 feet or 59.3 feet below sea level

Answer:

It's B

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{480+24(x-40)}{x}[/tex]

The numerator of the rational expression the money he earned for 'x' hours

The rate at which William is paid for each hour in excess of 40 hours 24.

x = 50 hours = (40 + 10 ) hours

The amount paid for excess 10 hours = 24 *10 = 240

Total amount earned for the week = 480 + 240 = 720

Answer:

wouldn’t it just be 21? because both are the same but mirrored

Answer:

january = 10/20 = 1/2

februry = 7/14 = 1/2

so, we conclude that the auto dealership didn't have a lower ratio, since the ratio is equal in both months.

hope it helps :)

Answer:

8^50

Step-by-step explanation:

8^100 / 8^50

We know that a^b / a^c = a^(b-c)

8^(100-50)

8^50

Answer:

64 volume of the cuboid

formula used is lbh multiplies together.

Mark me as brainliest

Hope it helps:)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

The measurement of the arc is 3Pi

that represents 108 / 360 of the circle.

Equation

108/350 2 * pi * R = 3* pi

Solution                            

Pi is on both sides of the equation. They both cancel.

108/360 = 0.3

0.3 * 2 * R = 3

0.6 * R = 3

R = 3/0.6

R = 5

Answer:

200 adults

Step-by-step explanation:

1/8 of the passengers (children) is 40

Total passengers in the train is 8/8

Therefore to get the total number of passengers is given by

(8/8) × 40 × (8/1)

= 240 passengers

Adults in the train = Passengers - Children

= 240 - 40

= 200 adults

Answer:

3 employees

Step-by-step explanation:

The best way to obtain a solution is to note the coordinate if each point on the scatter plot :

Where, the x - axis represents the number of cars sold and y - axis represents the number of trucks sold.

So, the number of employees that sold more cars than trucks exists where the x - axis value is greater than its corresponding y-axis value.

The scatter plot points : (2,4) (4,3) (3,7) (3,9) (4,8) (5,6) (5,7) (6,6) (9,0) and (10,1)

Points where x-axis > y-axis with each coordinate representing an employee :

(4,3) ; (9,0) and (10,1) = 3 employees.

Answer:

4 ÷ 5 + 1 ÷ 10 + 5 ÷ 6 = 1.733

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok

Answer:

$1.15

Step-by-step explanation:

Answer:

1.15

Step-by-step explanation:

One quarter equals .25

One nickle equals .05

Add

0.25+0.25+0.25+0.25+0.05+0.05+0.05

^           ^         ^       ^

              1.00 + 0.05+0.05+0.05

                           ^          ^       ^

                                    0.15

1.00 + 0.15 =

1.15

Hope this helped.

Answer:

Ax + By = C is standard form.

y + 1 = (2/3)(x - 8)

distribute the (2/3)

y + 1 = (2/3)x - (16/3)

Multiply each term by 3 to clear the fractions.

3y + 3 = 2x - 16

Subtract 2x from both sides.

-2x + 3y + 3 = - 16

Subtract 3 from both sides.

-2x + 3y = - 19

Correct form typically has the leading coefficient as a positive number so multiply each term by - 1.

2x - 3y = 19

Step-by-step explanation:

Answer:

The answer is 2x + -3y = 19

Step-by-step explanation:

got it right on edge

Answer:

7(y-4)

---------

6(y+4)

Step-by-step explanation:

5y-20        7y+35

------------ * ------------

3y+15           10y +40

Factor

5(y-4)     7(y+5)

--------  * -----------

3(y+5)     10(y+4)

Cancel like terms

(y-4)     7

--------  * -----------

3            2(y+4)

7(y-4)

---------

6(y+4)

Answer:

5/18

Step-by-step explanation:

The total number of horses present is 9

The probability that the first selected horse is tan is 4/9

So , now for the second choice , we are left with 8 total horses of which 5 is brown

The probability is 5/8

So the joint probability is the product of this two

That will be;

5/8 * 4/9 = 5/18

Answer:           The answer is all real numbers

Step-by-step explanation:

This is the answer because the line goes on infinitely and will pass through all of the numbers (negative, positive). Its not y [tex]\geq \\[/tex] 0 because it passes through 0 when the line goes through x (side to side) axis.

Answer:

-16

Step-by-step explanation:

Follow . PEMDAS

plug the numbers in

4*2 =8 and -4*6=24

add both...

-16.

Step-by-step explanation:

4(2)+(-4)(6)

8-24

-16

hope it helps..

Answer:

[(b/c)=0.15)]

Step-by-step explanation:

===================================================

Work Shown:

P(B/C) = P(B and C)/P(C) ... conditional probability formula

P(B and C) = P(C)*P(B/C)

P(B and C) = 0.20*0.15

P(B and C) = 0.03

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

P(C/B) = P(C and B)/P(B) .... note the swap of B and C

P(C/B) = P(B and C)/P(B)

P(C/B) = (0.03)/(0.25)

P(C/B) = 0.12

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

Extra notes:

Answer:

No

Step-by-step explanation:

y^2 = x^2 + 5​

Rewriting

y^2 - x^2 = 5

This is a hyperbola

We can use the vertical line test to show that it is not a function since a vertical line passes through more than one point.

Answer:

$100

Step-by-step explanation:

The amount Lucia gave Brenda = Half the amount in the store counter

The amount Brenda added to the money Lucia gave her = Half the amount in her (Brenda) savings

The amount Brenda had saved = Half of the amount Lucia earned in the store that day

The number of food and treat packets Brenda bought = 5

The cost of each packet = $15

Let x represent the amount Lucia earned and let y represent the amount Brenda saved

We have;

x/2 = y

x/2 + y/2 = 15 × 5 = 75

Therefore, we get;

y + y/2 = 75

(3/2)·y = 75

y = 75 × 2/3 = 50

y = 50

From x/2 = y, we have;

x/2 = 50

x = 2 × 50 = 100

The amount Lucia earned in her store that day, x = $100

Answer:

Step-by-step explanation:

252 = 2 * 126

        = 2 * 2 * 63

         = 2 * 2 * 3 * 21

         = 2 * 2 * 3 * 3 * 7

         = 2² * 3² * 7

Answer:

2^2 x 3^2 x 7

Step-by-step explanation:

2----252

2---- 126

3----- 63

3------ 21

7------ 7

         1

2x2x3x3x7

In expotential form = 2^2 x 3^2 x 7

Answer:

x = 20

Step-by-step explanation:

Angle 2 and Angle 5 are corresponding angles

Corresponding angles are congruent

If angle 2 = 3x - 20 and angle 5 = x + 20

Then 3x - 20 must equal x + 20 ( because corresponding angles are congruent )

Notice that weve just created an equation that we can use to solve for x

We now solve for x using the equation we created

3x - 20 = x + 20

Step 1 add 20 to both sides

3x = x + 40

Step 2 Subtract x from both sides

2x = 40

Step 3 divide both sides by 2

x = 20

Answer:

5

Step-by-step explanation:

this is probability

probability of 5 occuring once is = 5/42=0.119

therefore, probability of 5 occuring in 42 times is;

42 x 0.119=4.998

approximately 5

Answer:

Time taken for the ball to hit the ground back = 3.08 s

Step-by-step explanation:

h(t)= -16t² + 48t + 4

when will rhe object come back to hit rhe ground?

When the ball is at the level.of the ground, h(t) = 0.

0 = -16t² + 48t + 4

-16t² + 48t + 4 = 0

Solving the quadratic equation

t = 3.08 s or t = -0.08 s

Since the time cannot be negative,

Time taken for the ball to hit the ground back = 3.08 s

Hope this Helps!!!

Step-by-step explanation:

Answer:

Si

Step-by-step explanation:

100% - 90% = 10%

10% = 0.10 = 1/10

Respuesta: Si

Answer:

AS = 46

Step-by-step explanation:

The circumcentre is equally distant from the triangle' s 3 vertices , then

AS = BS = 46

Answer:

8 miles

Step-by-step explanation:

9.6-8=1.6

1.6 times 5 equals 8 miles

It should be noted that after 5 hours, the distance between the two runners will be 8 miles.

Distance = Speed × Time

For the first runner:

Distance covered by the first runner = Speed of the first runner × Time

= 8 mph × 5 hours

= 40 miles

For the second runner:

Distance covered by the second runner = Speed of the second runner × Time

= 9.6 mph × 5 hours

= 48 miles

Since both runners are running in the same direction, we subtract the distance covered by the first runner from the distance covered by the second runner to find the distance between them:

Distance between the runners after 5 hours = Distance covered by the second runner - Distance covered by the first runner

= 48 miles - 40 miles

= 8 miles

Learn more about distance

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Answer:

IT = 13.5

Step-by-step explanation:

Recall: According to the Centroid theorem the Centroid of is ⅔ of the distance of the vertex of the triangle to the midpoint of the opposite side.

This means that:

ST = ⅔(IT)

ST = 9 (given)

Substitute

9 = ⅔(IT)

Multiply both sides by 3

3*9 = 2(IT)

27 = 2(IT)

Divide both sides by 2

27/2 = IT

IT = 13.5