Find the equivalent to x^7

Answers

Answer 1

Answer: 1/x^-7

It would look more like 1
------
-7 (as an exponent)
x

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Factorize 6x^2+17x+5 by splitting middle term and by using the factor theorem

Answers

$6x^2+17x+5 =\n 6x^2+2x+15x+5=\n 2x(3x+1)+5(3x+1)=\n (2x+5)(3x+1)$

Using the following data, calculate the mean absolute deviation: 10 7 1 6 7 9 8 10 2 5

What is the mean absolute deviation for these data?
2
2.4
6.5
7

Answers

Answer:

The mean absolute deviation of first data is $2.54$

and for second data is $2.115$

Step-by-step explanation:

Mean of data $x_1,x_2,x_3,x_4,...x_(n)$ is calculated as:

$mean=(x_1+x_2+x_3+x_4+...+x_n)/(n)$

and mean absolute deviation is calculated as $√(mean)$

The given first data : 10 7 1 6 7 9 8 10 2 5

$mean=(x_1+x_2+x_3+x_4+...+x_n)/(n)$

$mean=(10+7+1+6+7+9+8+10+2+5)/(10)$

$mean=6.5$

mean absolute deviation $√(6.5)=2.54$

The given first data : 2 2.4 6.5 7

$mean=(x_1+x_2+x_3+x_4+...+x_n)/(n)$

$mean=(2+2.4+6.5+7)/(4)$

$mean=(17.9)/(4)$

$mean=4.475$

mean absolute deviation $√(4.475)=2.115$

Therefore, the mean absolute deviation of first data is $2.54$

and for second data is $2.115$

First set of data:
Mean - 6.5
Absolute deviation - 2.4

Second set of data:
Mean - 4.475
Absolute deviation - 2.275

Alan can chop 3/4 of a carrot in 1/8 min.How many carrots can he chop in 1 min?

(I want to see how fast Brainly is)

Answers

(3/4 carrot) / (1/8 minute) = ('x' carrots) / (1 minute)

Cross-multiply the proportion:

(3 carrot / 4 minutes) = ( 'x' carrot / 8 minutes)

Multiply each side by 8 minutes:

6 carrots = 'x' carrots

well 3/4 in 1/8 means that you need to multiply 3/4 by 8 in order to make a whole minute
3/4 × 8/1 = 24/4
24/4=6
the answer is 6 carrots
(pretty fast right?)

Which of the following statements is true?

Answers

Answer:

option C is correct.

Step-by-step explanation:

Checking equation A

$(9x^3 + 12x) + (16x^3 -4x+1)= 24x^3 +16x-1\n9x^3+16x^3+12x-4x+1=24x^3+16x-1\n25x^3+8x+1\neq 24x^3+16x-1$

Checking equation B

$(3x+2x^2-4)-(x^2+x-5)=2x+x^2-9\n3x-x+2x^2-x^2-4+5=2x+x^2-9\n2x+x^2+1\neq 2x+x^2-9$

Checking equation C

$(10x^3+2x^2-11)+(9x^2+2x-2)=10x^3+11x^2+2x-13\n10x^3+2x^2+9x^2+2x-11-2=10x^3+11x^2+2x-13\n10x^3+11x^2+2x-13=10x^3+11x^2+2x-13$

Checking equation D

$(-7x^2+12)-(5-4x^2)=11x^2-17\n-7x^2+4x^2+12-5=11x^2-17\n-3x^2+7\neq 11x^2-17$

Hence, only option C is correct.

The formula for the lateral area of a right cone la=pirs, where r is the radius of the base and s is the slant height of the cone. which are equivalent equations?

Answers

Answer:

$\pi r √(r^2+h^2)$

Step-by-step explanation:

Given that there is a cone with radius r and slant height s.

We know that lateral surface area of the cone is

= $\pi r s$

Alternately if instead of s, h is known we can write this in terms of h also.

Consider the right triangle formed by slant height, height and radius of the cone.

Using Pythagorean theorem we have

$s^2=r^2+h^2$

Or $s=√(r^2+h^2)$

Hence lateral surface area of the cone

= $\pi r √(r^2+h^2)$

Answer:

A And D

Step-by-step explanation:

Did The Quiz and got it right

If a caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served. You know that the cost for 100 students will be $750 and the cost for 150 students will be $1050. find the caterers fixed cost and the cost per student served.

Answers

$x+100y=750 \n x+150y=1050 \n 50y=300 \n y=6 \n x=750-600=150$
The fixed cost is $150, while the per-student cost is $6.

It would be $6 per student while the fixed cost is $150

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