Please help we with this.

"a card is shaped like a rectangle, The card is 9 centimeters long and 4 centimeters wide. what is the area?"

answers:

49
36
13
5

Given:

The combination C(14,10).

To find:

The value of the given combination.

Solution:

We know that,

[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

Using this formula, we get

[tex]C(14,10)=\dfrac{14!}{10!(14-10)!}[/tex]

[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11\times 10!}{10!(4)!}[/tex]

[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11}{4\times 3\times 2\times 1}[/tex]

[tex]C(14,10)=7\times 13\times 11[/tex]

[tex]C(14,10)=1001[/tex]

Therefore, the value of C(14,10) is 1001 and the correct option is B.

The equivalent expression of "[tex]C(14,10)[/tex]" is "1001".

using formula:

[tex]\to ^n C_r=\frac{n!}{r!(n-r)!}[/tex]

putting the given value into the above formula:

[tex]\to ^{14} C_{10}=\frac{14!}{10!(14-10)!}[/tex]

              [tex]=\frac{14 \times 13 \times 12 \times 11 \times 10! }{10! \times 4 \times 3 \times 2 \times 1}\\\\=\frac{14 \times 13 \times 12 \times 11 }{ 4 \times 3 \times 2 \times 1}\\\\={7 \times 13 \times 11 }{}\\\\=1001[/tex]

Therefore, the final answer is "1001".

Find out more information on the equivalent here:

brainly.com/question/17733453

Answer:

a. 4×2 = 8

b. E = 120

c. F = 400

Answer:

$165

Step-by-step explanation:

Dinner bill = $132

Sales tax = 10% of dinner bill

Tip left = 15% of dinner bill

Amount of sales tax :

10% of $132

0.1 * $132 = $13.2

Amount of tip left :

15% * $132

0.15 * $132 = $19.8

Total bill :

Dinner cost + sales tax + tip

$132 + $13.2 + $19.8

= $165

Answer:

82 degrees

Step-by-step explanation:

Hope this helps!

Lmk if you have any questions!

Have a great day! :)

Answer:

a)3√5

b)11√7

is answer.

Answer:

Step-by-step explanation:

PLEASE HELP ME!! ASAP

Given f(x) = x^2 – 10x + k, and the remainder

when f (x) is divided by x + 2 is 32, then what is

the value of k?

Answer:

3 (z = 35)

Step-by-step explanation:

(22 + 19) + 104 + z = 180° => triangle sum theorem

41 + 104 + z = 180

145 + z = 180

145 + z - 145 = 180 - 145

z = 35

Answer:

its either a or b not entirely sure on which

Step-by-step explanation:

the area of the rectangle is 180 (15x12) so it cant be 180 and the semicircle is smaller then the rectangle so it cant be more than 360 hope this helps

Answer:

236.5

Step-by-step explanation:

Sorry if it looks messy, I messed up in the middle!

Answer:

7.875

Step-by-step explanation:

1 1/8 times 7= 7.875

Answer:

104.92

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

0.4x - 1.2 = 0.15x + 0.8

0.4x - 1.2 + 1.2 = 0.4x

0.15x + 0.8 + 1.2 = 0.15x + 2

0.4x = 0.15x + 2

0.4x - 0.15x = 0.25x

0.15x + 2 - 0.15x = 2

0.25x = 2

0.25x / 0.25 = x

2 / 0.25 = 8

x = 8

Answer:

i think it's 13.44

Step-by-step explanation:

im not really sure, but let me know if im wright pls!!

hope this helped!!

Answer:

3b = 3 x 5

3 x 5 + 10 = 15 + 10 = 25

Answer:

KL = 6.75cm

JL = 9.3cm

Step-by-step explanation:

SInce Angle DEF is similar to angle JKL.

Then;

DE/EF = JK/KL

Given

DE = 4cm

JK = 3cm

EF = 9cm

Substitute

4/9 = 3/KL

4KL = 27

KL = 27/4

KL = 6.75cm

Similarly

DF/EF = JL/KL

12.4cm/9 = JL/6.75

9JL = 12.4 * 6.75

9JL = 83.7

JL = 83.7/9

JL = 9.3cm

Answer:

this is the answer bb

Step-by-step explanation:

Answer:

$1,038

Step-by-step explanation:

the equation for annual compound interest is y=p(1±r)^t, where p is the principal (starting amount), r is the rate (as a decimal), and t is the number of years (time).

2.5% as a decimal is 0.025

We will add that to 1, because when we earn interest, we are gaining money.

So we will substitute our given numbers into the equation:

y=6500(1.025)^6

solve:

y=$7,5638 (rounded)

That's the total amount he earned (principal + interest). To find out how much interest he earned over those 6 years, subtract our new amount from our starting amount

75638-6500

$1,038

So he made $1,038 in interest

Answer:

784 or 814

Step-by-step explanation:

these two numbers can be the closest written to the value of 800

Answer:

$1008

Step-by-step explanation:

12 x 7 = $84 his aunt gives him.

1 mile = 5,280 feet

5,280 x 7 = 36,960 feet he ran.

5,280 ÷ 40 = 132 for every mile he runs

132 x 7 = $924 from his neighbor.

924 + 84 = 1,008

Answer:

is 5 i hope it helps

Step-by-step explanation:

okay remember that this < stand for less numbers

Answer:

80, 75

Step-by-step explanation:

[tex]\sqrt{x}[/tex] < 9

x < 9²

x < 81

Thus, 8 is lesser than 81. 80 and 75 are the only numbers lesser than 81 so they are the answer.

Answer:

67.50

Step-by-step explanation:

Answer:

The hundredth is always the second number after the decimal point (to the right).

So, when rounding to that number look at the number on the right of it, which in this case is 9.

Then, if the number is 5 to 9, round up, but if it is 0 to 4, round down.

In this case, the number above 0.49 is 0.5.

Hope this helps! I would really appreciate it if you would mark me brainliest! Have a blessed day!

Answer:

15x^3+28x^2-55x-12

Step-by-step explanation:

Dimensions of the box are (x+3), (3x-4), and (5x+1). Let these be length, width and height of the box.

assuming the box is cuboidal

Therefore, volume of the box  = Length× width× height

⇒volume of the box = (x+3)×(3x-4)×(5x+1)

now, (x+3)×(3x-4) = (3x^2+5x-12)

Now, volume of the box = (3x^2+5x-12)×(5x+1)

= 15x^3+28x^2-55x-12

Answer:

Dilation and translation.

Hope that helps!

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The ratio of distances is ...

  Neptune distance / Mercury distance = (4.503×10^9)/(5.791×10^7)

  = 450.3/5.791 = 77.76 . . . . cancelling factors of 10^7

Neptune is about 77.76 times as far from the Sun as Mercury is.

Answer:

i dont know sorry

Step-by-step explanation:

Answer:

yyyyyyyyyy

Step-by-step explanation:

yyyyyyyyyyyyyyy

Answer:

0.0083628

Step-by-step explanation:

Here is the answer