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OLEGan [10]
2 years ago
14

Hi uwu pls help me with math i'm bad at it :(

Mathematics
1 answer:
DedPeter [7]2 years ago
7 0

Answer:

Question #1: p=18

Question #2: uwu   sorry I had trouble with this one too

Question #3: $65.10

Step-by-step explanation:

Question #1:

Step 1: multiply 4 by both products in the parenthesis to get 4p - 28 = 44,

Step 2: move the 28 to the other side so you have 4p = 44 + 28,

Step 3: add both products on the right to get 4p = 72,

Step 4: divide 4 on both sides so you are left with  p = 72 ÷ 4,

Step 5: the equation to get the total of p = 18

Question #3:

Step 1: Simplify 30% to 0.30 (30÷100)

Step 2: multiply 0.30 by 42 to get 12.6

Step 3: Simplify 25%,  (not sure how but) 10.5

Step 4: Add 42.00 + 12.6 + 10.5 = $65.10

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Consider the product (x + y + z)2. If the expression is multiplied out and like terms collected, the result is: x2 + y2 + z2 + 2
VLD [36.1K]

Answer:

Part a: The coefficient of v^9w^2x^5y^7z^2 is 1.766 \times 10^{13}

Part b: The number of terms are 23751.

Step-by-step explanation:

part a

From the given equation the

(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx

So the coefficient of any term x^ny^nz^n is given as  

\dfrac{2!}{n!n!n!}

Similarly for the generic equation of coefficient of the term x_1^{r_1}x_2^{r_2}x_3^{r_3}......x_k^{r_k} in the equation of form (x_1+x_2+x_3+x_4......x_k)^n is given as  

\dfrac{n!}{r_1!r_2!r_3!....r_k!}

So now the coefficient of v^9w^2x^5y^7z^2  is given as

=\dfrac{25!}{9!2!5!7!2!}\\=1.766 \times 10^{13}

The coefficient of v^9w^2x^5y^7z^2 is 1.766 \times 10^{13}

Part b:

The number of terms is given as \left (\ {{m+n-1} \atop {n}}  \right )

where m is the number of variables which are 5 here

n is the power which is 25 so the number of variables is given as

\left (\ {{5+25-1} \atop {25}}  \right )\\\left (\ {{29} \atop {25}}  \right )\\\dfrac{29!}{25!4!}=23751

So the number of terms are 23751.

3 0
2 years ago
A family recycled 66 cans in February, 94 cans in March, 122 cans in April, and 150 cans in May. If this pattern went from Janua
fredd [130]

Step-by-step explanation:

Difference per month = 28

=> January = February - 28 = 66-28 = 38

3 0
2 years ago
Volume of a cylinder pi 3.14 d=2r h=6cm d=12cm
alex41 [277]

Answer:

V = 678.24cubic cm

Step-by-step explanation:

Volume of a cylinder

V = πr^2h

V - volume of a cylinder

π - pie

r - radius of a cylinder

h - height of a cylinder

Given:

π - 3.14

h - 6

d = 12

d = 2r

Divide both sides by 2

d/2 = 2r/2

d/2 = r

r = d/2

r = 12/2

r = 6

Insert the values into the formula

V = πr^2h

V = 3.14 * 6^2 * 6

= 3.14 * 36 * 6

= 678.24cubic cm

5 0
2 years ago
The daily energy requirement, E (kilojoules), for a person of mass m ( kilograms) is calculated using the rule E=9m+8100
Wewaii [24]
For this case we have the following equation:
 E = 9m + 8100
 Substituting E = 8865 we have:
 8865 = 9m + 8100
 Clearing m we have:
 9m = 8865-8100
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Gavin's mass is:
 
m = 85 Kg
8 0
2 years ago
A four-person committee is chosen from a group of eight boys and six girls. If students are chosen at random, what is the probab
Lapatulllka [165]

Answer: 0.07

Step-by-step explanation:

in the group, we can have only 4 persons.

we have 8 boys, and 6 girls.

We want to find the probability that in the comite we have only boys.

Ok, for the first selection, the probability of selecting a boy is equal to the number of boys divided the total number of the group ( 8 + 6 = 14) this is

p1 = 8/14.

For the second selection we do the same, but we already slected a boy, so now the number of boys is 7, and the total number of posibilities is 13.

p2 = 7/13.

for the third selection we do the same, in this case the probability is

p3 = 6/12

for the fourth selection the probability will be:

p4 = 5/11

The joint probability, of all the events happening at the same time, is equal to the product of the singular probabilities:

P = p1*p2*p3*p4 = (8/14)*(7/13)*(6/12)*(5/11) = 0.07

4 0
2 years ago
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