The expansion of (1 + 4x)5 is​

Answers

Answer 1

Answer:

5+20x

Step-by-step explanation:

multiply 5 to 1 and 4x respectively


Related Questions

27
A radioactive substance decays at an annual rate of
13 percent. If the initial amount of the substance is
325 grams, which of the following functions i
models the remaining amount of the substance. In
grams, 1 years later?
A) f(t) = 325(0.877'
B) f(t) = 325(0.13)
C) f(t) = 0.87(325)
D) (t) = 0.13(325)

Answers

Answer:

the answer

Step-by-step explanation:

D) 0.13 (325)

HOPE THIS HELPS!

do you need the workout?

All of the following are true about the standard error of the mean except​ a. ​it is larger than the standard deviation of the population. b. ​its value is influenced by the standard deviation of the population. c. ​it decreases as the sample size increases. d. ​it measures the variability in sample means.

Answers

Answer:

The correct option is a.

Step-by-step explanation:

The standard deviation of the sampling distribution of sample mean ([tex]\bar x[/tex]) is known as the standard error. It is denoted by [tex]\sigma_{m}[/tex].

The formula to compute the standard error is:

[tex]\sigma_{m}=\frac{\sigma}{\sqrt{n}}[/tex]

As the population standard deviation is divided by the square root of the sample size, the standard error can never be more than the population standard deviation, σ.

Also, since the population standard deviation is directly proportional to the standard error, the value of [tex]\sigma_{m}[/tex] is affected by the value of σ.

And since the sample size is inversely proportional to the standard error, the value of [tex]\sigma_{m}[/tex] decreases as the value of n increases.

The sample mean is a statistic, i.e. it represents a specific characteristic (here, the average) of the sample.

The standard deviation of any statistic measures the variability of the statistic.

So, the standard error measures the variability in sample means.

Thus, the correct option is a.

Choose which is a statistical question: What are
the ages of the students in this class? or How
many pennies equal 1 dollar? Explain.

Answers

The statistical question is; "What are the ages of the students in this class?

What is a statistical question?

A statistical question is always aimed at data collection which can subsequently used for analysis and decision making. Statistical questions are asked in the course of research.

Among the two questions, the statistical question is; "What are the ages of the students in this class?

Learn more about statistics:https://brainly.com/question/8058700

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I’m having a hard time finding the answer, any help is appreciated (:

Answers

Answer:

True.

Step-by-step explanation:

It fails the vertical line test. The vertical line test checks to see if any inputs (x values) have more than one output. In this case, they do.

Use the concept of slope to find t such that the three points are collinear. (-8,5) (0,t) (2,-1)

Answers

Answer:

t = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Since the points are collinear they lie on the same line.

Thus the slopes between any of the 3 points are equal.

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 5) and (x₂, y₂ ) = (2, - 1)

m = [tex]\frac{-1-5}{2+8}[/tex] = [tex]\frac{-6}{10}[/tex] = - [tex]\frac{3}{5}[/tex]

Repeat using

(x₁, y₁ ) = (- 8, 5 ) and (x₂, y₂ ) = (0, t) and equate to previous m

m = [tex]\frac{t-5}{0+8}[/tex] = [tex]\frac{t-5}{8}[/tex] = - [tex]\frac{3}{5}[/tex] ( cross- multiply )

5(t - 5) = - 24 , that is

5t - 25 = - 24 ( add 25 to both sides )

5t = 1 ( divide both sides by 5 )

t = [tex]\frac{1}{5}[/tex]

What is the solution of −83 = b4? A. b = –332 B. b = –87 C. b = –79 D. b = –20.75

Answers

Answer:

D; b = -20.75

Step-by-step explanation:

Here in this question, we want to find solution to the given linear equation.

The linear equation is;

-83 = b4

Now, to find the value of b, we will need to divide both sides by its coefficient.

Looking at the question, the coefficient of b is 4

Mathematically, that would be :

-83/4 = b4/4

b = -83/4

b = -20.75

Answer:

b = -20.75

Step-by-step explanation:

Given:

-83 = b4

It can also be written as

-83 = 4b

divide both sides by the coefficient of b which is 4

-83 / 4 = 4b / 4

-20.75 = b

Therefore,

b = -20.75

Check:

-83 = b4

-83 = -20.75(4)

-83 = -83

ANSWER ASAP THANK youuu

Answers

Answer:

A

Step-by-step explanation:

● -7x > 21

Divide both sides by 7

● -7x/7 > 21/7

● -x > 3

Multiply both sides by -1 and switch the sign since you have multiplied by a negative number.

● x < -3

The representation is A since -3 is represented by an empty dot ○ wich means it's out the solutions

The solution to the given inequality -7x/7 > 21/7 is x < -3 which is the correct answer that would be option (A).

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question

⇒ -7x > 21

Divide both sides by 7 both sides of the above inequality

⇒  -7x/7 > 21/7

⇒  -x > 3

Multiply both sides by -1 and because we multiplied by a negative quantity, flip the sign.

⇒  x < -3

The representation is A because -3 is represented by an empty dot which shows the solution of the graph.

The required graph has been attached which represents the solution to the given inequality -7x/7 > 21/7 is x < -3

Hence, the correct answer would be an option (A).

Learn more about the inequalities here:

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What is the percent of pls help I need to finish change fron
45 to 56?
Round to the nearest percent.

Answers

The answer should be 80%

Answer:

Step-by-step explanation:

[tex]\dfrac{45}{56}*100= 0.8035 * 100 = 80.35[/tex] = 80%

Jimmy is saving money to buy a concert ticket for $155. He has $42 so far and he can save $20 per week. In how many weeks will he have enough money to buy the ticket? Select an equation that could be used to answer the question above. Let W represent the number of weeks. A. 20w + 42 = 155 B. 20w - 155 =42 C. 42w + 20 = 155 D. 155w - 20 = 42

Answers

Answer:

The answer for this question is A

Hassan drove 78 miles in 1ị hours. If he drove at a constant rate, how far did he
travel in one hour? Enter your answer as a whole number, proper fraction, or mixed
number in simplest form.

Answers

Answer:

1 1/3 hours

Step-by-step explanation:

I took the same test

Can you please Solve for x

Answers

x - 3 = 27

add three to both sides

then x= 30

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Let's solve your equation step-by-step.

[tex]x-3=27[/tex]

Step 1: Add 3 to both sides.

[tex]x -3 + 3 = 27 +3[/tex]

[tex]x = 30[/tex]

So the answer is : [tex]x = 30[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Help me please i have no idea how to do this

Answers

For clearly look we can seperate the number parts and the letter parts because they are all “*” and “/“ caculation
Initial fraction: (20 * a^2 * b) / ( 5 * a * b^2) = (20 / 5) * (a^2 / a) * (b / b^2)

Result: (4*a) / (b) = (4*a) / (1*b) = (4/1) * (a/b)

As you can see the result is a fully simplifying form so just simplify any thing you can from initial fraction
20/5 = 4/1 (both nume and deno are divided by 5)
a^2 / a = a/1 (divided by a)
b / b^2 = 1/b (divided by b)
Multiply all above we get the result 4a/b (just for checking whether we did right or not)

Next, multiply all that we have divided in previous step: 5*a*b = 5ab
=> problem solved

Given the function f(x) = x + 7 What would the input have to be so that f(x) = 15?
I really need help with question.

Answers

Step-by-step explanation:

[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]

in this we have given the value of f(x) = 15

[tex]f(x) = x + 7[/tex]

[tex]f(15) = 15 + 7[/tex]

[tex]f(15) = 22[/tex]

so this is ur answer

hope it helps .


EXAMPLE 10 Show that the points (a, a),(-a, - a) and (-3a, 3a) are the vertices of an equilateral triangle. Also find its area.​

Answers

Answer:

The triangle is not equilateral.

Step-by-step explanation:

Distance formula:

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Distance from (a, a) to (-a, -a):

[tex] d_1 = \sqrt{(-a - a)^2 + (-a - a)^2} [/tex]

[tex] d_1 = \sqrt{(-2a)^2 + (-2a)^2} [/tex]

[tex] d_1 = \sqrt{8a^2} [/tex]

Distance from (-a, -a) to (-3a, 3a):

[tex] d_2 = \sqrt{(-3a - (-a))^2 + (3a - (-a))^2} [/tex]

[tex] d_2 = \sqrt{(-2a)^2 + (4a)^2} [/tex]

[tex] d_2 = \sqrt{20a^2} [/tex]

Distance from (-3a, 3a) to (a, a):

[tex]d_3 = \sqrt{(-3a - a)^2 + (3a - a)^2}[/tex]

[tex]d_3 = \sqrt{(-4a)^2 + (2a)^2}[/tex]

[tex]d_3 = \sqrt{20a^2}[/tex]

The three sides do not have the same length, so the triangle is not equilateral.

chose the equivelent expresion 5⁶ a.(5⁴)² b.(5⁻²)⁻³ c.(5¹)⁵

Answers

Answer:

[tex]\Large \boxed{(5^{-2})^{-3}}[/tex]

Step-by-step explanation:

Applying the law of exponents : [tex](a^b)^c=a^{bc}[/tex]

[tex](5^4)^2 = 5^{4 \times 2} = 5^{8}[/tex]

[tex](5^{-2})^{-3}=5^{-2 \times -3}=5^6[/tex]

[tex](5^1)^5 =5^{1 \times 5}=5^5[/tex]

Answer:

[tex]\huge\boxed{Option \ B}[/tex]

Step-by-step explanation:

[tex]5^6[/tex] is equivalent to

=>   [tex](5^4)^2 = 5^{4*2} = 5^ 8[/tex]

=> [tex](5^{-2})^{-3} = 5^{-2*-3} = 5^6[/tex]          ← Correct

=> [tex](5^1)^5 = 5^{1*5} = 5^5[/tex]

After a 15% increase January receives a new salary of R23000. What was his salary before the increase

Answers

Answer:

His salory before Increse is 17250

You can increase by 15% by multiplying by 1.15.
Old salary x 1.15 = R23000
Old salary = 23000 / 1.15 = R20000

I need help please :(

Answers

Answer:

[tex] 5^{-3} = \dfrac{1}{125} [/tex]

Step-by-step explanation:

Rule of negative exponents:

[tex] a^{-n} = \dfrac{1}{a^n} [/tex]

This problem:

[tex] 5^{-3} = \dfrac{1}{5^3} = \dfrac{1}{5 \cdot 5 \cdot 5} = \dfrac{1}{125} [/tex]

Answer:

[tex]\boxed{\frac{1}{125}}[/tex]

Step-by-step explanation:

[tex]5^{-3}[/tex]

Apply rule:

[tex]\displaystyle a^{-b}=\frac{1}{a^b}[/tex]

[tex]\displaystyle 5^{-3}=\frac{1}{5^3}= \frac{1}{125}[/tex]

a quarter of the sum of a number and 87 pls help me¡¡¡

Answers

Answer:

(x + 87)/4

Step-by-step explanation:

"a quarter" = 0.25 by numerical value.

"the sum of a number (x) and 87" = x + 87

Combine the two terms:

"the sum of a number (x) and 87" + "a quarter of the sum..." = (x + 87) * 0.25 = (x + 87)/4

(x + 87)/4 is your answer.

~

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART

PLEASE GIVE EXPLANATION

Answers

Answer:

Second option

Step-by-step explanation:

The cosine function is represented in the graph. that eliminates two options. The period of the function can be calculated by finding the value of b, and then the wavelength. This eliminates the first option, because the period in the graph is pi. 2nd option is correct

Find the volume of this solid.

Answers

Answer:

C

Step-by-step explanation:

1/2(10*7)*13

1/2(70)*13

35*13=455

Evaluate if x =3 and y = -2

x2+2xy−4y

Answers

Answer:

5

Step-by-step explanation:

With the equation [tex]x^2 + 2xy - 4y[/tex], we can substitute the values of x = 3 and y = -2 into the equation to find its result.

[tex](3^2) + (2\cdot3\cdot-2) - (4\cdot-2)\\\\9 + (6\cdot-2) - (-8)\\9 - 12 + 8\\5[/tex]

Hope this helped!

(-6127) + _____. = (-6127)
(+18) + _____ = (+20)
(+27) - ____ = (+20)
(+63) + _____= (+50)
(+21) - _____ = (+17)

Answers

Answer:

(-6127) + 0 = (-6127)

(+18) + 2 = (+20)

(+27) - 7 = (+20)

(+63) + (-13) = (+50)

(+21) - 4 = (+17)

Step-by-step explanation:

You are looking at your powwr bill for the month, you pay 11 cents per kilowatt hour. your power bill came out to $73.54. how many KWH of energy were used in your house this month?​

Answers

We can just divide here! Let’s turn the dollars into cents. We now have 7354 cents, divided by the 11 cent per kWh. Dividing, you get 668.55, which is how many kWh have been used!

please help with problem !!!

Answers

Answer:

Step-by-step explanation:

y = 2x^2 - 12x +19                Put brackets around the  1st 2 terms. Take 2

y = 2(x^2 - 6x ) + 19             Take 1/2 of the 6 square it and add inside the brackets

y = 2(x^2 - 6 + (6/2)^2) +19 Subtract 2 *9 from the 19. Express 1st 3 terms as ( )^2

y = 2(x- 3)^2 + 19 - 18

y = 2(x - 3)^2 + 1

Answers

y intercept when x = 0 is y = 19

axis of symmetry x = 3

vertex: (3,1)

Graph

graph: red

axis of symmetry: blue

y intercept, vertex: green

The cost to rent a car at one agency is $24.50 per day plus an additional $15.99 fee for insurance. At a different agency, the cost to rent a car is $27.50 per day, but the insurance is only an additional $3.99 fee. Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies?

Answers

Answer:

d=4

Step-by-step explanation:

Agency 1:

Total cost of renting a car=24.50d + 15.99

Agency 2:

Total cost of renting a car=27.50d + 3.99

Where, d=No. of days of renting the car

Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies?

The equation is by equating agency 1 and agency 2 equation

24.50d + 15.99 = 27.50d + 3.99

Collect like terms

24.50d - 27.50d = 3.99 - 15.99

-3d = -12

Divide both sides by -3

d= -12 / -3

=4

d=4

Check

Agency 1:

24.50d + 15.99

= 24.50(4) + 15.99

= 98 + 15.99

= 113.99

Agency 2:

27.50d + 3.99

= 27.50(4) + 3.99

= 110 + 3.99

= 133.99

Answer:

24.5d + 15.99 = 27.5d + 3.99


Step-by-step explanation:

The other person who answered this question was correct, they just explained it all the way through and since you guys skim through everything instead of reading, I'll put the answer. :)

A student uses his place value chart to show number after the teacher instructed him to divide a number by 100 the charge of 28.003 what was the chart look like first

Answers

Step-by-step explanation:

A student divided the given number by 100 that resulted to 28.003 in his chart. So what we are looking for in the given situation is that the value of the number before it was divided by 100.

To get the desired value, we can simply multiply the obtained result by 100

=> 28.003 x 100

=> 2800.3

So, by dividing 100 to the given number, we simply move the value to the right in a value of hundreds.

The following are scores obtained by some students in a test.
8 18 10 14 18 11 13 14 13 17 15 8 16 13. Find the mode of the distribution

Answers

Answer:

[tex] \boxed{13}[/tex]

Step-by-step explanation:

Arranging the data in ascending order:

8 , 8 , 10 , 11 , 13 , 13 ,13 , 14 , 14 , 15 , 16 , 17 , 18 , 18 ,

In the case of discrete data, mode can be found just by inspection, i.e just by taking an item with highest frequency.

Here, 13 has the highest frequency

So, Mode = 13

Extra information

Mode

The mode of a set of data is the value with the highest frequency. A distribution that has two modes is called bimodal. The mode of a set of data is denoted by Mo.

Hope I helped!

Best regards!


HELLPP ASAP PLS, FIRST PERSON TO ANSWER CORRECTLY GETS BRAINLIEST


Draw the image of quadrilateral ABCD when translated by the directed line segment v. Label the image of A as A', the image of B as B', the image of C as C' and the image of D as D'.

Answers

Answer:

Step-by-step explanation:

this may or may not be right but I tried my best

factorize. (x+y)) ^24x^2y^2​

Answers

Answer:

I guess this is the answer

Step-by-step explanation:

(x + y)²4x²y²

= [2xy(x + y)]²

= (2x²y²)²

Point E is on line segment DF. Given DE=9 and DF=11, determine the length EF.

Answers

Answer:

EF = 2 units

Step-by-step explanation:

Given:

Line segment DF and point E on it.

DF = 11 unit

DE = 9 Unit

Find:

EF

Computation:

We know that,

DF = DE + EF

11 = 9 + EF

EF = 11-9

EF = 2 units

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