What is the fourth term of the expansion of the binomial (2x + 5)^5? Hence find the value of (2.02)5 correct 3D.P

Answers

Answer 1

Answer:

5000x^2 is the 4th term

Step-by-step explanation:

ok, 1 bionimial theorem coming right up

for a binomial expansion of (a+b)^n

the kth term is

means

n is 5

4th term

4-1=3

and a=2x

b=5

so

(10)(4x^2)(125)

5000x^2 is the 4th term


Related Questions

please help me with this

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The equation of the line is y= 3x

Please help me I need this done it’s timed

Answers

Answer:

the 1st one should be the 2rd one

Step-by-step explanation:

Use the GCF and the Distributive Property to find the sum. Write each number as a product using the GCF as a​ factor, and apply the Distributive Property. nothing 34, 51

Answers

Answer:

[tex]34 + 51 = 85[/tex]

Step-by-step explanation:

Given

[tex]34 + 51[/tex]

Required

Use GCF and distributive property to determine the sum

34 can be expressed as:

[tex]34 = 2 * 17[/tex]

51 can be expressed as:

[tex]51 = 3 * 17[/tex]

So, the GCF of both numbers is 17

[tex]34 + 51[/tex] can then be expressed as:

[tex]2 * 17 + 3 * 17[/tex]

Apply Distributive Property, we have:

[tex]17(2 + 3)[/tex]

Solving further:

[tex]17 * 5[/tex]

[tex]85[/tex]

Hence:

[tex]34 + 51 = 85[/tex]

Answer:

Step-by-step explanation: no

Raul is solving -6x = 72. Find his mistake and correct it.

Answers

Answer:

x=12

Step-by-step explanation:

How do you write 86.2 in scientific notation?
x 10
Submit

Answers

8.62x10^-1 hope this helps

Ratios that are equivalent to 7/3

Answers

Answer:

14:6, 21:9, 28:12

Step-by-step explanation:

solve for x

(-4/5)x + 2 =-26

Answers

Answer:

(-4/5)x= -26-2

(-4/5)x= -28

x= -28/1÷ -4/5

x= -28/1 ×5/-4

x= -7/5 or -1.7

Factor by grouping
x^3+2x^2-9x-18

Answers

Answer:

(x+2)(x+3)(x-3)

Step-by-step explanation:

Group and factor out the greatest common factor (GCF), then combine.

Hope this helps!!

Using the given information, match the transformed equation from a parent function of [tex]y=x^2[/tex] or [tex]y=x^3[/tex]

Question and choices below:

Answers

Step-by-step explanation:

The general form for a quadratic or cubic equation is:

y = a (x − h)ⁿ + k

If |a| is between 0 and 1, it's a vertical shrink.  If |a| is greater than 1, it's a vertical stretch.  If a is negative, there's a reflection over the x-axis.

h is the horizontal translation.  If h is positive, there's a translation to the right.  If h is negative, there's a translation to the left.  (Notice the expression in the parentheses is x − h, not x + h, so if it helps, rewrite the equation.)

k is the vertical translation.  If k is positive, there's a translation up.  If k is negative, there's a translation down.

f(x) = (x + 1)³ − 7

f(x) = 1 (x − -1)³ + -7

a = 1, h = -1, k = -7

This is y = x³ translated 1 unit to the left and 7 units down.

g(x) = -½ (x − 2)³

g(x) = -½ (x − 2)³ + 0

a = -½, h = 2, k = 0

This is y = x³ reflected over the x-axis, vertical shrink of ½, and translated 2 units to the right.

y = -(x − 4)³ − 2

y = -1 (x − 4)³ + -2

a = -1, h = 4, k = -2

This is y³ reflected over the x-axis, translated 4 units right and 2 units down.

Laron is thinking about majoring in business in college because with a bachelor's degree the starting salaries are about $45,000 per year. If a master's degree will allow him to start out at about 15 percent higher, how much can he expect his starting pay to be with a master's degree?​

Answers

Answer:

$6750 per year

Step-by-step explanation:

15% / 100 = 0,15

0,15 x $45,000 = $6750 he will get per year

ANSWER QUICK FOR BRAINLIEST!!


please i need this asap:))

Answers

Answer:4

Step-by-step explanation: please just trust me!

Broo please help me omg

Answers

Answer:

9. -2

10. 0

Step-by-step explanation:

It is not undefined because the slope of horizontal lines are 0

Erla has 28 red and blue marbles. The ratio of red to blue marbles is 1:6.How many blue marbles does Erla have?

Answers

Erla has 24 blue marbles.

A line contains the points (10,7) and (5,-8). Write the equation of the line.

Answers

Y=3x-23
.
Hope this helps :)

5x^4-7(-x)
Would the simplified version of this be 5x^4+7x?

Answers

Answer:

5x⁴ + 7x or x(5x³ + 7 )

Step-by-step explanation:

Given expression:

        5x⁴ - 7(-x )

To simplify this expression, we have to follow the order of operation PEMDAS;

Parentheses, Exponents, Multiplication, Division, Addition and Subtraction

  5x⁴ - 7(-x ) = 5x⁴ + 7x

               Since x is common to both terms;

                = x(5x³ + 7 )

So the simplified version can be 5x⁴ + 7x or x(5x³ + 7 )

Write an equation in POINT-SLOPE FORM of the line that has an x-intercept of -3 and a y-intercept of -2. hurryyy if u dont know leave it alone cus i need this fr

Answers

Answer:

y=1/2-3-2

Step-by-step explanation:

y-int is -2

x int is -3

What is 5.790 divided by 2.3

Answers

Answer:

Step-by-step explanation:

5.790/2.3=2.5173913

Answer:

2.51739130435

Step-by-step explanation:

A kid traveled a distance of 9 km by bike, and then walked a distance of km.
a.Find the total distance traveled in terms of
b. If the total distance was less than 30 km, form an inequality in , and
then solve it!

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question;

A kid traveled a distance of 9 km by bike, and then walked a distance of x km.

a.Find the total distance traveled in terms of  x

b. If the total distance was less than 30 km, form an inequality in x, and

then solve it!

a) Total distance = distance travelled by bike + distance walked

Total distance = 9km + xkm

Total distance = (9+x)km

b)  If the total distance was less than 30 km, the inequality representing this is;

9+x < 30

Subtract 9 from both sides;

9+x-9 < 30-9

x < 21

hence the solution to the inequality is x< 21

30 points-

Use the table below that shows the amount of gasoline a car
consumes for different distances driven.
Distance (mi)
2
Gasoline (gal) 0.05 0.10 0.15 0.200.25
Write an equation in function notation for the relationship
between distance and gasoline used.

Answers

Answer:

4

Step-by-step explanation:

4 is the answer for this problem.

Jed is baking shortbread for a bake sale. The recipe calls for 1 1 4cups of flour and 1 2stick of butter. How many cups of flour will Jed need if he uses 3 sticks of butter?

Answers

Answer: [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.

Step-by-step explanation:

We assume that quantity of flour is proportional to butter.

Given : The recipe calls of [tex]1\dfrac14[/tex] cups of  flour  and [tex]\dfrac12[/tex] stick of butter.

Let [tex]x_1=1\dfrac14=\dfrac{5}{4}[/tex]      [tex]y_1=\dfrac{1}{2}[/tex]

For [tex]y_2=3[/tex] , we will find [tex]x_2[/tex] by using formula of direct proportion: [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

[tex]\dfrac{\dfrac{5}{4}}{\dfrac12}=\dfrac{x_3}{3}\\\\\Rightarrow\ \dfrac{5}{2}=\dfrac{x_3}{3}\\\\\Rightarrow\ x_3=\dfrac{5}{2}\times3= \dfrac{15}2=7\dfrac12[/tex]

Hence, [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.

15/2 cups of flour!

A closed adoption means you are able to communicate with teh adoptive parents and see your biological child after the adoption.

True
False

Answers

Answer:

False because ur not allowed to see the child

ASAP
Can someone please helppp

Answers

Answer:

Option 4

Step-by-step explanation:

out of 300marks a student got 207 what is the score in percent​

Answers

Answer: 69%

Step-by-step explanation: 207/300 times 100 too divided by the bottom times 100

when playing the bottle toss game, people have a 12% chance of winning. someone played 25 times. about how many times will he win?

Answers

3 times is the answer.
the person will win 3 times
hope this helps :)

6. Just because a diet is popular does not mean it is safe and effective. True False

HELP FAST!
Not really math its PE

Answers

Answer:

true

Step-by-step explanation:

the answer is true hope this helps

Write the ratios as fractions IN THEIR SIMPLEST form
44 boys to 88 girls

Answers

Answer:

2:4

Step-by-step explanation:

Please find the volume of this shape

Answers

Answer:

V = 536.8m³

Step-by-step explanation:

A = cross-sectional area

V = prism volume

V = A × length

h = perpendicular height of triangle

h² = 13² - 7²

h² = 169 - 49

h² = 120

h = 10.954...

A = ¹/₂.b.h

A = ¹/₂(14)(10.954...)

A = 76.681...

V = 76.681... × 7

V = 536.768... ⇒ 536.8m³

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20

Answers

Answer:

Step-by-step explanation:

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.

A: 196.20

B: 208.20

C: 1286.20

D: 1298.20

8.08 x 10^6 x 7.5 x 10-2

Answers

Answer:

=

5

2

Step-by-step explanation:

Name the triangle with the following characteristics. Sides: 5 cm, 5 cm, 7 cm.

a. equilateral triangle
b. right triangle
c. isosceles triangle
d. scalene triangle

Answers

Answer:

[tex]\boxed {\boxed {\sf Isosceles \ triangle}}[/tex]

Step-by-step explanation:

An equilateral triangle has 3 equal sides and angles.

A right triangle contains one right or 90 degree angle.

An isosceles triangle has 2 equal sides and base angles.

A scalene triangle has no equal sides or angles.

The triangle given has the sides of 5 cm, 5 cm, and 7 cm.

Therefore, 2 of the sides are equal and this must be an isosceles triangle.

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