Decrease £180 by 25%

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Explanation:

Let x be the unknown positive integer.

The square roots of x are [tex]\sqrt{x}[/tex] and [tex]-\sqrt{x}[/tex], representing the positive and negative square roots respectively.

Taking the difference of those means we subtract:

[tex]\text{PositiveRoot}-\text{NegativeRoot} = \sqrt{x} - (-\sqrt{x}) = \sqrt{x}+\sqrt{x} = 2\sqrt{x}[/tex]

Set that equal to 40 and solve for x

[tex]2\sqrt{x} = 40\\\\\sqrt{x} = 40/2\\\\\sqrt{x} = 20\\\\x = 20^2\\\\x = 400[/tex]

Therefore, the integer we're after is 400.

The positive square root of such is [tex]\sqrt{x} = \sqrt{400} = \sqrt{20^2} = 20[/tex]

And the negative square root is [tex]-\sqrt{x} = -\sqrt{400} = -\sqrt{20^2} = -20[/tex]

The difference of which is:

(Positive Root) - (Negative Root) = 20-(-20) = 20+20 = 40

This helps confirm the answers.

Answer:

Find the domain by finding where the expression is defined.

Interval Notation: [tex](-[/tex]∞[tex],[/tex] ∞[tex])[/tex]

Set-Builder Notation: {[tex]x|x[/tex] ∈  R}

The function declaration [tex]f(x)[/tex] varies according to [tex]x[/tex], but the input function [tex]ve + 9[/tex] only contains the variable [tex]v[/tex]. Assume

[tex]f(v)=ve+9[/tex]

[tex]f(v)=ve+9[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

a.) Initial cost of renting the car is $100

b.) rate of change is slope, that is :

c.) Cost = C and distance = d

the equation will be :

Step-by-step explanation:

Answer:

-5573.6

Step-by-step explanation:

Answer:

x= -11

Step-by-step explanation:

Rearrange terms

[tex]-1=\frac{5+x}{6} into -1=\frac{x+5}{6}[/tex]

Multiply all terms by the same value to eliminate fraction denominators

[tex]-1=\frac{x+5}{6} \\6(1)=6(\frac{x+5}{6} )[/tex]

Cancel multiplied terms that are in the denominator

[tex]6(-1)=6 (\frac{x+5}{6} )6(-1)=x+5[/tex]

Multiply the numbers

[tex]6(-1)=x+5\\-6=x+5[/tex]

Subtract 5 from both sides of the equation

[tex]-6=x+5\\-6-5=x+5-5[/tex]

Simplify

Subtract the numbers

Subtract the numbers

Move the variable to the left

Answer:

31

Step-by-step explanation:

p = 8

p + 23

= 8 + 23

= 31

31 is the answer.

Answer:

Slope of the perpendicular line: 2/3

Step-by-step explanation:

-2y = 3x - 6

y = - 3/2x - - 6/2

y = -3/2 + 3

Answer:

(9, 9) this is where they intersect at

Step-by-step explanation:

Answer:

4,3

Step-by-step explanation:

Answer:

rectangle

Step-by-step explanation:

square corners and unequal sides

Answer:

1.625

Step-by-step explanation:

that is the answer

Answer:

[tex]y = mx + c[/tex]

[tex]1 = - 3 \times 6 + c[/tex]

[tex]1 = - 18 + c[/tex]

[tex]1 + 18 = - 18 + 18 + c[/tex]

[tex]19 = c[/tex]

[tex]y = 6x + 19[/tex]

Answer:

C

Step-by-step explanation:

assuming the 2s are all squares

just plot a point and it's negative

Answer:bro w t f is C bro C isn’t always the same option on other quizzes

Step-by-step explanation:

Cassandra runs 3 miles.

Hope this helps! :D

Answer:

0.5

Step-by-step explanation:

Answer:

341 meters

Step-by-step explanation:

you just multiply 31 by 11.

Answer:

341 meters

Step-by-step explanation:

Jusr do 31 times 11

The answer is B. Since the graph increases by 4 on the y-axis as x increases by 1, the constant of proportionality is 4.

Answer:

a) line 3 because the coefficient of the term 5x, the slope is the greatest slope.

b) line 1 and 4 are parallel because they have the same slope: 2

c) line 1 with line 2 and line 4 with line 2 are perpendicular lines because their slopes are reciprocals negative.

d) line three crosses the y line at point 11

Step-by-step explanation:

Line 1. y = 2x - 3

Line 2: y = -2x + 3

Line 3: y = 5x + 11

Line 4: y = 2x - 10

Line 5: y = 1/2x - 5

The magnitude of the volume of the balloon increases at a faster rate than

the radius of the balloon.

Reasons:

The rate at which the volume of the balloon is increasing, [tex]\dfrac{dV}{dt} = 15 \ cm^3/s[/tex]

The initial volume of the balloon, V = 30 cm³

The rate of change of the volume of the balloon with radius is given as follows;

[tex]\dfrac{\Delta V}{\Delta r}= \dfrac{V_2 - V_1}{r_2 - r_1}[/tex]

[tex]Volume \ of \ the \ balloon, \ V = \dfrac{4}{3} \cdot \pi \cdot r^3[/tex]

[tex]V = 30 + \dfrac{dV}{dt} \times t[/tex]

∴ V = 30 + 15·t

At t = 0, V = 30 cm³

Where;

[tex]r =\sqrt[3]{ \dfrac{3 \cdot V}{4 \cdot \pi} }[/tex]

When V = 30

The radius, r ≈ 1.93 cm.

At t = 10 s., we have;

V = 30 + 15 × 10 = 180

At t = 20 s., we have;

V = 30 + 15 × 20 = 330

Therefore;

Between 0 s. and 10 s., we have;

Rate of change of the volume of the balloon with respect to the radius of the balloon to the nearest centimeter, between 0 s and 10 s is 96 cm³/cm.

Between 10 s. and 20 s., we have;

Between 10 s. and 20 s. the rate of change is approximately 190 cm³/cm.

Therefore;

The rate of change of the volume of the balloon with respect to radius is not constant, but increases as the volume of the balloon increases.

Learn more here:

https://brainly.com/question/13489213

Answer:

for the first it is 15/16 and the second is 9/16

to help you use desmos sictific coulator

where is your question?

Answer:

what is your question?

Answer:

ANSWER:C

Step-by-step explanation:

sana maka tulong

Answer:

-1/8

Step-by-step explanation:

(-1/2)^3 = (-1/2) * (-1/2) * (-1/2) = -1/8

Answer:

-0.125

:) Hope this helped, let me know if you need more help! :)

the ship is 472 m from the lighthouse

Step-by-step explanation:

from the question, we can know ∠OAS = 90°-23° =67° and AO = 200m

OS = A0 • tan 67°

= 200 m • 236°

= 472 m

Answer:

B or C

Step-by-step explanation:

This depends on what % of your grade the test was.

Answer:

-a^5x^3

Step-by-step explanation:

hope this helps! :)

Let's separate this out and multiply the coefficients first, then the variables.

2 1/3 = 7/3

7/3 * -3/7 = -1

(a^2)(x)(a^3)(x^2)

When we multiply terms with exponents, we ADD the exponents.

(a^5)(x^3)

Answer: (-1)(a^5)(x^3)

Coefficient: -1

Hope this helps!