Math problem please help

Step-by-step explanation:

Tr+1 = nCr * a^(n-r) * b^r.

Therefore the coefficients of the binomial expansion of (p + q)⁶ are 6C0, 6C1, 6C2, 6C3, 6C4, 6C5 and 6C6.

=> 1, 6, 15, 20, 15, 6, 1.

You can also look up Pascal's triangle which gives shortcuts in finding the coefficients for binomial expansions.

Answer:

1: 64π

2: 49π and 153.86

Step-by-step explanation:

For the first one we know that it has a diameter of 16 which means it has a radius of 8 (half the diameter)

To find the area of a circle use the following formula

π*r² where r is the radius

This means that the first answer is π*8^2

which is 64π

For the second one it's the same deal but the radius is 7

so the answer is 49π

Answer:

Step-by-step explanation:

AB=99

ABC=1391

BAC=992

ACB=3301

Answer:

8a

Step-by-step explanation:

group all similar terms

3a + 5a = 8a

Answer:

=21.2

Step-by-step explanation:

53/(13-8)*2

=53/5*2

=10.6*2

=21.2

Answer:

21.2 i got this correct on my test

Step-by-step explanation:

Answer:

6. Bacteria tend to grow very fast in a petri dish at first because of unlimited food and then begin to die out due

to competition. In a certain culture, the number of bacteria is givenby N(f) =1f +92t+.625' where /

represents the hours since 625 bac,teriawere introduced to the Petri dish. Determine the *={TlgX9"t

of bacteria that occur in the dish.

Step-by-step explanation:

t= -92/-2(2) =23

N (23) power 2 +92(23) + 625 =1628

my hands are paining by typing

please make me as brainleist

Answer:

2469.6 Joules

Step-by-step explanation:

Answer:

y=x+7

Step-by-step explanation:

Answer:

[tex]Probability = \frac{1}{792}[/tex]

Step-by-step explanation:

Given

[tex]Questions = 12[/tex]

[tex]Selection = 5[/tex]

Required

Probability of grading the selected 5 by Andrew

First, we need to determine the total number of selections.

This is calculated as: [tex]^{12}C_{5}[/tex]

Solving further:

[tex]^{12}C_{5} = \frac{12!}{(12-5)!5!}[/tex]

[tex]^{12}C_{5} = \frac{12!}{7!5!}[/tex]

[tex]^{12}C_{5} = \frac{12*11*10*9*8*7!}{7!*5*4*3*2*1}[/tex]

[tex]^{12}C_{5} = \frac{12*11*10*9*8}{5*4*3*2*1}[/tex]

[tex]^{12}C_{5} = \frac{95040}{120}[/tex]

[tex]^{12}C_{5} =792[/tex]

There is only 1 for Andrew's question selection.

So, the required probability is:

[tex]Probability = \frac{1}{792}[/tex]

Answer:

4!

Step-by-step explanation:

40 x 4 = 160

160+ 140 = 300

Answer:

4 dresses

Step-by-step explanation:

If she starts with $300 and ends up with $140, that means that she spent $160. So, since each dress costs $40, you divided $160 by $40, which equals 4. So Michelle bought 4 dresses.

(hope this helps!)

Answer: $300

Step-by-step explanation:

3 (15) + 3 (36) + 3 (49)

45 + 108 + 147

300

The total cost is $300

Answer:

Step-by-step explanation:

Lets analyze the graph:

Based on above observations and the fact that all have same y-intercept of -2, we can say required inequality is:

Correct option is C

Answer:

We conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.

Thus, the domain of g is: -7 ≤ x ≤ 4

Step-by-step explanation:

We know that the domain of a function is the set of inputs or argument values for which the function is defined.

From the given graph, it is cleared that the function g starts from the x-value x = -7 and ends at x = 4.

It means the function is defined for the set of input values from x = -7 to x = 5 for which the function is defined.

Therefore, we conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.

Thus, the domain of g is: -7 ≤ x ≤ 4

9514 1404 393

Answer:

  C

Step-by-step explanation:

Corresponding angles are listed in the same order in the mapping statement.

C' is the third vertex named in A'B'C'D'. It corresponds to the third vertex named in ABCD, which is C.

  angle C' corresponds to angle C

Answer:

first one is 3/12 and second one is8/ 12

Answer: ↓↓↓Btw sorry its not in order

Step-by-step explanation:

m∠62 and ∠g are vertical angles so they're congruent.

∠g = 62°

∠f and m∠62 are linear pairs so they're supplementary

∠f + 62 = 180

∠f = 118°

∠e is a right angle and is supplementary to a 90° angle

∠e = 90°

Adding ∠e, m∠28° and the missing angle should sum up to 180° since its a triangle. x = missing angle

x + ∠e + m∠28 = 180°

x + 90 + 28 = 180

x + 118 = 180

x = 62°

∠h ≅ x

∠h ≅ 62

∠h = 62°

∠b and m∠28 are vertical angles so they're congruent.

∠b ≅ m∠28

∠b = 28°

∠b and ∠a are linear pairs so they are supplementary.

∠a + ∠b = 180

∠a + 28 = 180

∠a = 152°

∠c and ∠a are corresponding angles so they're congruent.

∠c ≅ ∠a

∠c ≅ 152

∠c = 152°

∠c and ∠j are vertical angles so they're congruent.

∠j ≅ ∠c

∠j ≅ 152

∠j = 152°

The corresponding angle of c is 152° as well. Let's call it y. Y corresponds to the angle with a bisector. Call that whole angle z.

z ≅ y

z ≅ 152

z = 152°

Z has a bisector meaning the two angles that formed because of the bisector are congruent.

∠d and the other angle add up to 152°. They're equal.

∠d = 152 ÷ 2

∠d = 76°

Hope I helped!

Step-by-step explanation:

data

let the unknown numbers = x and y respectively

y is 3 × greater than x so, y = 3x

x+y/ 2 = 10

solution:

x + 3x= 10

4x=10

divide both sides by 4

Answer:

True

Step-by-Step

When the x was 2, the y was 11.

When the x was 4, the y was 19.

So for every two on the x side, the y side adds 8.

So yes, there's a pattern AKA, this a proportional table.

Hope this helped! :)

Answer:

25°

Step-by-step explanation:

from the triangle on the left, angles BAD and BDA are equal

angles in a triangle add up to 180°

so 180 - 80 = 100 /2 = 50°

now the straight line ADC angle is 180°

so 180° - 50° = 130 ° for angle BDC

the angle for x is the same as angle DBC

for the triangle on the right angles must add up to 180°

180 - 130 = 2x

50 = 2x

25° =x

Answer:

50

Step-by-step explanation:

let a,b

a=b being base angles.of isoceles triangle

80+a+b=180 sum of angles of triangle

80+a+a=180

2a=100

a=50

80+a+x=180 being sum of angles of triangle

50+a=100

x=50

Answer:

5 meters in milli is 5,000. 5,000 is more than 4996

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

one meter equals 1000 millimeters so obv 5 meters is bigger

Answer:

-7 - 10

Step-by-step explanation:

The values found farthest to the left of a numbwr line are negative values, with positive values located to the right and 0 being the midpoint.

Thus positive values increase towards the right of the number line while negative values on the other hand reduces as we move farther to the left of the number line.

Hence , from the options given, - 7 - 10 gives a total of - 17 is the lowest negative value given in the option.

Answer:

100 cm²

Step-by-step explanation:

In a square

length of the sides (L) = 10 cm

Area of square (A) = L² = ( 10 ) ² = 100 cm²

Answer:

100cm^2

Step-by-step explanation:

10×10 is 100

so it's 100cm squared

Answer:

3

Step-by-step explanation:

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Answer:

B would be the answer.

Step-by-step explanation:

Use what they said. All angles in a triangle would sum to 180 degrees.

So based on that, 107 + 33 + <x = 180

140 + <x = 180

<x would then be 40 degrees

Answer:

NO

Step-by-step explanation:

The answer is no because the first column is 1 times 1 which is 1. The second column is 2 times 1 which is not 4. So this table is not proportional.

Please mark brainlliest if you want.

Answer:

x squared over 4 plus y squared over 8 equals 1

Step-by-step explanation:

The general equation of ellipse is given as;

(x²/a²) + (y²/b²) = 1

The coordinates of a foci are: (±c, 0) where;

c² = b² - a²

However, we know that equation of directrix is; x = ±a/e

Now, Directrix is given ±4

Thus, a/e = 4

a = 4e

We also know that c = ae from ellipse foci coordinates.

Thus, ae = 2

since ae = 2, then (4e)e = 2

4e² = 2

e² = 2/4

e = 1/2

Thus;

a = 4 × 1/2

a = 2

Since c² = b² - a²;

2² = b² - 2²

4 = b² - 4

b² = 8

From (x²/a²) + (y²/b²) = 1, we can put our values to get;

x²/4 + y²/8 = 1

Answer:

x = 20/9

Step-by-step explanation:

Step 1: Cross-multiply.

Step 2: Divide both sides by 3.

and you should get this :P

Answer: X=20/9

beacause x eqauls to 4/3 times 53/3

Answer:

y= (1/2)x+(3/4)

Step-by-step explanation:

Answer:

c. categorical

Step-by-step explanation:

                     Categories of the record

      1                       2                  3               4

Freshman      Sophomore     Junior        Senior

This is simply a categorical arrangement of students in the college by the researcher who is interested in the variable, class standing. So option C is correct