If x = -7 and y = 2, evaluate the following expressions
i) (4y)² – (2x)²
ii) 4y² - 2x² ​

length=22m

breadth=14.67

Step-by-step explanation:

Given that:

[{5² × 6²}/{(30)⁴}]³

⇛[{5² × 6²}/{(5 × 6)⁴}]³

⇛[{5² × 6²}/{(5⁴ × 6⁴}]³ [∵(ab)ᵐ= aᵐbᵐ]

⇛[{5²/5⁴} × {6² × 6⁴}]³

⇛[5^(2-4) × 6^(2-4)]³ [∵aᵐ/aⁿ = aᵐ-ⁿ]

⇛[5^-2 × 6^-2]³ [∵aᵐbᵐ = (ab)ᵐ]

⇛[(5×6)^-2]³

⇛[30^-2]³

⇛[30]^-2×3 [∵(aᵐ)ⁿ = aᵐⁿ]

⇛30^-6. [∵(a^-ⁿ = 1/a^n]

⇛1/(30)⁶ ≈ 72 90 00 000 Ans.

Hope this helps!!

If you have any doubt, then you can ask me in the comments.

Answer:

Above is the step-by-step solution

[tex]\\ \sf\longmapsto p\propto q [/tex]

[tex]\\ \sf\longmapsto p=kq[/tex]

[tex]\\ \sf\longmapsto \dfrac{p}{q}=k[/tex]

[tex]\\ \sf\longmapsto q=\dfrac{p}{k}[/tex]

Now

[tex]\\ \sf\longmapsto p\propto \sqrt{q}[/tex]

[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^2}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{k}{t^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{q}=\dfrac{k}{t^2}[/tex]

[tex]\\ \sf\longmapsto q=\dfrac{k^2}{t^4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{p}{k}=\dfrac{k^2}{t^4}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{k}{t^4}[/tex]

[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^4}[/tex]

Done

Answer:

3.5

Step-by-step explanation:

Error=11.4-11=0.4

Percentage error = (0.4/11.4) × 100 = 3.5 to the nearest tenth

The percent error in estimate is 3.5%

In practical mathematics, error is the distinction between a true value and an approximation, or approximate, representation of that value. A common example in statistics is the difference between the mean of the entire population and the mean of a sample picked from that population. An example of a round-off error in numerical analysis is the difference between an irrational number's actual value and the value of rational expressions.

Given

measured value  = 11 inches

actual value = 11.4 inches

percent error = ((actual value - Estimate value)/actual value)100

percent error =  ((11.4 - 11)/11.4)100

percent error = 0.03508 x 100

percent error =  3.508% = 3.5%

Hence the percent error is 3.5%.

Learn more about error;

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#SPJ5

Answer:

141 stickers

Step-by-step explanation:

212-47=165

165-24= 141 stickers

Answer:

1.the first one is the distance from home

2. is 91

3.increases by 91 i belive tht should be correct

Step-by-step explanation:

Answer:

answer in the link below

mathhelp.mhlp

Step-by-step explanation:

Answer:

[tex]y= 3x+17; y= -\frac13x +\frac{11}3[/tex]

Step-by-step explanation:

First problem. If you want a parallel to a given line, you keep the slope.

Then we use the point-slope form of a line

[tex]y-y_0=m(x-x_0)[/tex] and we plug in there everything we need.

[tex]y-5=3(x+4) \rightarrow y=3x+12+5\\y=3x+17[/tex]

The second is quite similar. This time we want the perpendicular. It means that the product of the slopes has to be -1.

[tex]3\cdot m = -1 \rightarrow m=-\frac13[/tex]

At this point we have everything, let's replace and write down the line in a better looking form

[tex]y-5=-\frac13(x+4) \rightarrow y= -\frac13 x -\frac43 +5\\y= -\frac13x -\frac43 +\frac{15}3 \rightarrow y= -\frac13x +\frac{11}3[/tex]

Answer:

35

Step-by-step explanation:

1. To evaluate 1/5 of 175, we must multiply 1/5 by 175.

Therefore, the answer is 35.

Answer:

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Step-by-step explanation:

Answer:

Step-by-step explanation:

Use Pythagorean to decide

Sides 12, 16, 20

Sides 2.4, 4.5, 5.1

Answer:

Step-by-step explanation:

24 ) Before, so -5 sec

25) after. So,  + 5 sec

26) + 50 c

27) -50 c

28) - 1 min

29)  + $ 50

30)  - $ 5

31)  +5

32) - 5

When surrounded by smaller circles, a center circle will appear larger than if surrounded by larger circles.

Perception is the collection of processes in the brain that interpret information from the senses as objects, events, written and spoken words, and so on.

Not only sensory impressions are perceived; for example thoughts and feelings are perceived too.

Learn more about perception in https://brainly.com/question/7337201

Answer:

A= 1

B= 2

C = 3

D = 4

E = 5

And so on going on for the 26 letters. But no clue since you said "could"

Answer:

15

Step-by-step explanation:

The conditions for triangle side lengths are:

A + B > C

A + C > B

B + C > A

The reverse is true too, of course:

A < B + C

B < A + C

C < A + B

Note that it's just 'greater than', not 'greater than or equal to' ( ≥ )

With those in mind, if 15 and 1 are A and B:

15 + 1 > C

15 + C > 1

1 + C > 15

And those can be simplified to these:

C < 16

C > -14 ( can be ignored because of the next one)

C > 14

And finally:

14 < C < 16

The largest whole number that fits those requirements is 15.

The tuition is an illustration of a linear function.

The cost of tuition and fees in the academic year 2023-2024, is $12260

Let the number of academic years after 2014-2015 academic year be x.

So, we have:

[tex]\mathbf{(x,y) \to (0,9200)(5,10900)}[/tex]

A linear function is represented as:

[tex]\mathbf{y = mx + b}[/tex]

Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)

So, we have:

[tex]\mathbf{10900 = 5m + 9200}[/tex]

Subtract 9200 from both sides

[tex]\mathbf{1700 = 5m}[/tex]

Divide both sides by 5

[tex]\mathbf{340 = m}[/tex]

So, we have:

[tex]\mathbf{m =340 }[/tex]

The function becomes

[tex]\mathbf{y = mx + b}[/tex]

[tex]\mathbf{y = 340x + 9200}[/tex]

In the academic year 2023-2024, x = 9.

So, we have:

[tex]\mathbf{y = 340x + 9200}[/tex]

[tex]\mathbf{y = 340 \times 9 + 9200}[/tex]

[tex]\mathbf{y = 3060 + 9200}[/tex]

[tex]\mathbf{y = 12260}[/tex]

Hence, the cost of tuition and fees is $12260

Read more about linear functions a:

https://brainly.com/question/21107621

Answer:

A

Step-by-step explanation:

Hope it can help you lovelots

Answer: B. 3/11 (or 2.2727...) is the larger number.

Answer:

it will take 3 hours For them to cover 60 miles and meet

Step-by-step explanation:

In pic

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

After substituting We multiply 5 with 9.

Step-by-step explanation:

Given Expression 5 + ( 9x - 3 ) ÷ 2

5 + ( 9 × 5 - 3 ) ÷ 2

5 + ( 45 - 3 ) ÷ 2

5 + ( 42 ) ÷ 2

5 + 21

26

Answer:

Step-by-step explanation:

The equation:

Answer:

you do y2-y1/x2-x1 for each ordered pair and if you get the same its parrallel, if the answers are opposite then they are perpendicular, and otherwise they are neitherStep-by-step explanation:

Answer:

a. 1-2(-2) + 3(-5) = 1-4 -15 = -18

b. -|-2--5| = |3| = -3

d. 1/2x+1/3y = 1/2 (-2) + 1/3(-5) = -1 - 5/3 = -8/3

Hope it works

Step-by-step explanation:

perimeter=2(l+b)

check the picture for more clarification

Answer:

343 cm³

Step-by-step explanation:

V = 343 cm³

Surface A = 294 cm²

6 * 8 = 48

6 • 8 = 48

6(8) = 48

48 * 6

= 288

Answer:288

Step-by-step explanation:

6×8=46 and

46×6=288

Answer:

60 pencil

Step-by-step explanation:

60 divided by 12 is 5

5 times $2.04= 10.2

so if you buy the 12 pack you would be spending more money!

Answer:

Y-intercept: (0, -3)

Step-by-step explanation:

Given the two points, (6, 5) and (3, 1):

We can find the y-intercept by using the slope-intercept form, y = mx + b. However, the first step that we must do is to solve for the slope.

We must first solve for the slope of the line using the following formula:

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

Let (x₁, y₁)  = (3, 1)

     (x₂, y₂) = (6, 5)

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{5 - 1}{6 - 3}\:=\:\frac{4}{3}}[/tex]

Hence, the slope of the line is:  [tex]\sf{m\:=\frac{4}{3}}[/tex] .

Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ).  

In order to find the y-intercept, use one of the given points, (6, 5), and the slope, [tex]\sf{m\:=\frac{4}{3}}[/tex], and substitute these values into the slope-intercept form and solve for the value of b:

y = mx + b

[tex]\displaystyle\mathsf{5\:=\:\frac{4}{3}(6)\:+\:b }[/tex]

5 = 8 + b

Subtract 8 from both sides to isolate b:

5 - 8 = 8 - 8 + b

-3 = b

Therefore, the y-intercept is (0, -3), where b = -3.  

Answer:

(4, 6 )

Step-by-step explanation:

x - 3y = - 14 ( add 3y to both sides )

x = - 14 + 3y → (1)

x - y = - 2 → (2)

Substitute x = - 14 + 3y into (2)

- 14 + 3y - y = - 2

- 14 + 2y = - 2 ( add 14 to both sides )

2y = 12 ( divide both sides by 2 )

y = 6

Substitute y = 6 into (1)

x = - 14 + 3(6) = - 14 + 18 = 4

solution is (4, 6 )

Answer:

The credit remaining on a phone card (in dollars) is a linear function of the

total calling time made with the card (in minutes), as shown in the figure below.

The remaining credit after 45 minutes of calls is $22.80 , and the remaining

credit after 64 minutes of calls is $19.76.

Step-by-step explanation:

What is the remaining credit after 73 minutes of calls?

;

Not sure what figure you are referring to, write an equation from the given values:

Assign the values as follows

x1 = 45; y1 = 22.80

x2 = 64; y2 = 19.76

:

Find the slope (m) using the formula: m = %28y2-y1%29%2F%28x2-x1%29

m = %2819.76-22.80%29%2F%2864-45%29 = %28-3.04%29%2F%2819%29

m = -.16

: