lim x tends to a {x^7-a^7/x^3-a^3]

Answer:

Step-by-step explanation:

Garden is in the shape of triangle.

[tex]Area of garden = \dfrac{1}{2}bh = \dfrac{1}{2}*10*6 = 5 *3 = 15 \ m^{2}[/tex]

Drive way:

length = 4 + 10 = 14m

Width = 3 m

Area  = length * width = 14 * 3 = 42 sq.m

Perimeter of the property:

Length = 14 m

Width = 3 + 9 + 6 = 18 m

Perimeter = 2*(length + width) = 2*(14 + 18) = 2 * 32 = 64 m

Answer:

Jeremy swims 4/5 of a kilometer each day.

Step-by-step explanation:

Since 5 3/5 can be turned into 28/5, then divided by 7/1, you will get 4/5. So Jeremy swims 4/5 of a kilometer each day.

Eli got his answer by multipying 5 3/5 by 7 which was an incorrect process.

Answer:

Step-by-step explanation:

Let the number of student tickets is s and general admission tickets - g.

Set equations and solve:

Double the first equation and subtract from the second to eliminate s:

Find s:

Let the student tickerts and general tickets be x and y respectively

From (1) put in (2)

And

Answer:

Step-by-step explanation:

1. 300 square feet

Answer:

∠c = 180 - 3x

Step-by-step explanation:

Triangle interior angles = 180.

Remember this fact:

The sum of the angles of any polygon = (number of sides in the figure - 2)(180)

∠a = x

∠b = 2x

∠c = 180 - 3x

Answer:

175.62

Step-by-step explanation:

39.2•448=17561.6

17561.6/100=175.616

=175.62

Answer:

300.104

Step-by-step explanation:

3x100=300

1x(1/10)=0.1

4x(1/1,000)=0.004

300+0.1+0.004=300.104

Answer:

yes u would multiply

Step-by-step explanation:

Answer:

15/4

Step-by-step explanation:

15 divided by 4 = 3.75

3.75 is greater than 2.2

Answer:

15/4

Step-by-step explanation:

2.2=22/10=44/20<15/4=75/20

Answer:

5x−13=4x−14

Subtract 4x from both sides.

5x−13−4x=4x−14−4x

x−13=−14

Add 13 to both sides.

x−13+13=−14+13

x=−1

Answer:

x=1

Step-by-step explanation:

Answer: 3.33 miles/hr

Step-by-step explanation:

(5 miles)/(1.5 hr) = 3.33 miles/hr

Answer:

14

Step-by-step explanation:

28 divided by 2 = 14

answer = 14

Answer: By 9.1%

Step-by-step explanation:

Answer:

8.3333....

Step-by-step explanation:

275/300=1/12

1/12=0.083333...

0.083333...=8.3333%

Answer:

4 gallons of oil for $9.16

Step-by-step explanation:

[tex] \frac{4}{9.16} = \frac{1}{x} [/tex]

[tex]4x = 9.16[/tex]

x = $2.29

[tex] \frac{11}{25.30} = \frac{1}{x} [/tex]

11x = 25.30

x = $2.30

Answer:

[tex]49[/tex]

Step-by-step explanation:

[tex]→7×7[/tex]

[tex]→49[/tex]

Can you please put a more bigger picture?

Answer:

slope = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (15, 18 ) and (x₂, y₂ ) = (6, 12 )

m = [tex]\frac{12-18}{6-15}[/tex] = [tex]\frac{-6}{-9}[/tex] = [tex]\frac{2}{3}[/tex]

Remember, when finding the slope, use this formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

We can start by labeling (15, 18) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex] and (6, 12) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now, we can plug these number into the formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }=\frac{12-18}{6-15}=\frac{-6}{-9} =\frac{2}{3}[/tex]

Thus, the slope of the line is [tex]\frac{2}{3}[/tex]. Hope this helps! Let me know if you have any questions related to this problem.

Answer:

£56

Step-by-step explanation:

sadly already payed £42 of the price

so 384-42= 342

now she gonna pay the same amount of money every month from what left to be payed

so 342÷6=56

she gonna pay £56 every month for 6months

Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Given the situation, Sally wants to purchase a dishwasher. The cost of the dishwasher is £384. Sally will make a deposit of £42 and the remaining balance over the course of six equal monthly installments.

Sadly, I've already saved £42 on the purchase.

=384-42

= 342

She will now make equal monthly payments from the remaining balance.

=342/6

=56

Thus, Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

s = [tex]\sqrt{V/h}[/tex]

Step-by-step explanation:

divide by 'h', then take square root of 's' to get:

s = [tex]\sqrt{V/h}[/tex]

Answer:

0.333...

Step-by-step explanation:

3 out of 9 can be written as 3/9 which reduces to 1/3.

1/3 = 0.333...

Answer:

A , D , E

Step-by-step explanation:

Substitute x = 2 into f(x) and check if the result is 4

(a)

f(2) = 2² = 4 ← then f(2) = 4

(b)

f(2) = 2 + 6 = 8 ≠ 4

(c)

f(2) = 4(2) + 2 = 8 + 2 = 10 ≠ 4

(d)

f(2) = 2² = 4 ← then f(2) = 4

(e)

f(2) = 8(2) - 12 = 16 - 12 = 4 ← then f(2) = 4

Answer:

terminating decimal maybe :)

Step-by-step explanation:

Answer:

what goes in the blank space: repeating

Step-by-step explanation:

Any rational number (that is, a fraction in the lowest terms) can be written as either a terminating decimal or a repeating decimal.

To make a random selection using a random number generator, we could make use of a computer programming to execute the task by following the steps below ;

A.) Using python 3 to generate a random sample of 141 plots :

import random

#import the random module

random_sample = random.sample(range(1410), 141)

#using the sample method, randomly select a sample of 141 plots from the total number of plots, 1410

print(random_sample)

#display the randiy selected plots which is 10% of the total

B.) Choosing the first three plots using the method described in (A)

first_3 = random_sample[:3]

#from the 141 random samples, use list slicing to select the first three plots from the sample

print('\n The first 3 plots are : ' , first_3)

#display the first three sample plots selected.

Learn more :https://brainly.com/question/25083828

Answer:

x=2

Step-by-step explanation:

x= 4/2

x =2

Answer:

6.) No, you do not agree with Ted.

7.) x = 34 degrees

Step-by-step explanation:

6.) For a triangle to be valid, it must meet these requirements:

a+b>c

a+c>b

b+c>a

If it fails a single one, then it is invalid.

For example: 6+11 is not greater than 4. Therefor, Ted is incorrect

7.) Though you see a square, or rectangle (whatever you want to call it), you can break it up into 2 triangle, only 1 of which you need to solve for.

We have these clues:

angle 1 = x

angle 2 = 56 degrees

angle 3 is a right angle

Any triangle must have its angles sum to 180 degrees

We also know that right angles are equal to 90 degrees.

Our updated clues:

angle 1 = x

angle 2 = 56 degrees

angle 3 = 90 degrees

angles 1+2+3 must equal 180

So we can make this equation:

x+56+90=180

Add like terms and solve for x:

x = 34

Answer:

a,6. b, 6 c, -4.5. d, -9

Step-by-step explanation:

a, -3*-2

3*2. b/c of -ve * -ve is positive the answer comes 6

b, same as a

c, -3*1.5

- 4.5

d, -3*3

- 9

Answer:

EF ║ CD and AB ║ CD are the parallel segments.

Step-by-step explanation:

The given question is incomplete without picture; here is the picture attached with the answer.

Since m∠A = m∠D = 42°

Therefore, AB ║ CD and segment AD is the transverse.

Now ∠AEF + ∠IEF = 180° [Supplementary angles]

138° + ∠IEF = 180°

∠IEF = 180 - 138

       = 42°

∠IHG + ∠DHG = 180° [ Supplementary angles ]

∠IHG + 122 = 180

∠IHG = 180 - 122

∠IHG = 58°

But ∠IEF ≠ ∠IHG

Therefore, EF and GH are not parallel.

If the segments AB and GH are parallel then ∠IHG = ∠IAB (By the property of alternate angles)

But ∠IHG ≠ ∠IAB

Therefore, AB and GH are not parallel.

Now ∠IEF ≅ ∠IDC ≅ 42° [alternate angles]

which reveals that EF ║ CD

Therefore, EF ║ CD and AB ║ CD