In the statement 10 +(-10) =0, how would you describe the -10?

Subtraction is a mathematical operation that reflects the removal of things from a collection. The temperature change from -4.2 to 9.1 is 13.3.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The temperature change from -4.2 to 9.1 is,

ΔT = 9.1 - (-4.2) = 9.1 + 4.2 = 13.3

Hence, the temperature change from -4.2 to 9.1 is 13.3.

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Answer:

  x ≈ 8.99

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between trig functions and sides in a right triangle. Here, the geometry of the problem can be modeled by a right triangle. We are given one side and want to find the difference in lengths of the other side for two different angles.

__

The tower height is the side opposite the angle of elevation. The distance from the tower to the end of the shadow is the side adjacent to the angle of elevation, so the relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(angle of elevation) = (tower height)/(length of shadow)

Solving for the length of shadow, we have ...

  length of shadow = (tower height)/tan(angle of elevation)

The difference in shadow lengths is 2x for the two different angles, so we have ...

  2x = 24.57/tan(30°) -24.57/tan(45°)

__

Dividing by 2 and factoring out the tower height, we have ...

  x = 12.285(1/tan(30°) -1/tan(45°)) = 12.285(√3 -1)

  x ≈ 8.993244

The value of x is about 8.99.

Answer:

1/3

Step-by-step explanation:

[tex]|\Omega|=30\\|A|=10\\\\P(A)=\dfrac{10}{30}=\dfrac{1}{3}[/tex]

Answer:

Step-by-step explanation:

As it is a second order equation, it means that it has two possible answers and they are [tex]x_1[/tex] and [tex]x_2[/tex].

The famous quadratic formula for solving any second order equation is the following:

[tex]x_{1} = \frac{-b + \sqrt{b^2 - 4 ac}}{2a}\\x_{2}=\frac{-b - \sqrt{b^2 - 4 ac}}{2a}[/tex]

Where a is the coefficient of [tex]x^2[/tex], b is the coefficient of x, and c is the free term. In other words,

[tex]a = 3\\b=4\\c=-2[/tex]

as the equation should be in the following form:

[tex]a x^2 + bx+c = 0[/tex]

Therefore the possible answer should be the following,

[tex]\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}[/tex][tex]\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}[/tex]

by dividing the numerator and denominator by 2, we can deduce the following,

Answer:

50-20 or perimeter-2length

Step-by-step explanation:

15 inches is the width

Answer:

A

Step-by-step explanation:

height (y-axis) = constant × width (x-axis)

let's look at the point coordinates.

remember, an ordered pair of point coordinates consists of an x value and an associated (typically calculated by a function) y value.

we see that all y values are half of the x values (3 and 1.5, 2 and 1, 7 and 3.5, 8 and 4).

so, the constant in our equation is responsible for returning half of the x value back as the y value.

what constant factor turns a number in half ?

x × c = x/2

c = 1/2

and so, A is the right answer.

The probability of coin landing with heads is an independent event.

The probability of winning 1st and 2nd prize is a dependent event.

Independents events are events whose occurrence do not depend on each other. They are random events. The probability of a coin landing on heads is a random event.

Dependent events are events that are not random. The outcome of one event depends on the outcome of another event.

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The point-slope form of the equation for the line is y - 3 =1/2(x - 2)

From the question, we are to determine the point-slope form of the equation for the line

The point-slope form of the equation of a line is given by

y - y₁ = m(x - x₁)

Where (x₁, y₁) is a point on the line

and m is the slope of the line

From the given information,

Slope, m = 1/2

and we have the point (2,3)

∴ The point-slope form of the equation for the line is

y - 3 =1/2(x - 2)

Hence, the point-slope form of the equation for the line is y - 3 =1/2(x - 2)

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Answer:

a dash is 1/8 tsp.

Step-by-step explanation:

a dash is 1/8 tsp or called 0.13

Surface area is all the area of all sides while volume is the amount of space (a substance) occupies in a solid.

For example:

A cube has a length,breadth and height of 5cm,find:

a) surface area of the cube;

b) and the volume of the cube.

a) area of one side of the cube = 5 x 5

                                                    = 25cm²

Total surface area = 25cm x 6 (a cube has 6 sides)

                               = 150cm²

b) volume of cube = length x breadth x height

                              = 5 x 5 x 5

                              = 125cm³

Hope this helps you :]

p.s. can you mark me as the brainliest? <3

Answer:

2 days

Step-by-step explanation:

275 miles times 0.05 = $13.75 for mileage

200-13.75=186.25 left

186.25/63.41(daily fee)= 2.93

She can rent it for 2 days

Answer: The value of x is 3.5

Explanation:

Equation:

y = 2x - 7

When the equation's Line intersects the x-axis, the value of y shall be always 0

Insert y = 0, to find x intercept

⇒ 0 = 2x - 7

⇒ 2x - 7 = 0

⇒ 2x = 7

⇒ x = 3.5

So coordinates: (x, y) → (3.5, 0)

Step-by-step explanation:

1) x+6 =4

x. =4-6

x. =-2

2) x-(-4) =-6

x+ 4. =-6

x. =-6-4

x. =-10

3)2(x-1)=-200

2x-2 =-200

2x. = -200+2

2x. = -198

x. = -198/2

x. = -99

4)2x+(-3) =-23

2x-3. =-23

2x. =-23+3

2x. =-20

x. =-20/2

x. = -10

Answer:

i can't see the question i would love to help though

Step-by-step explanation:

im not sure I'd need to see the figure

Answer:

C

Step-by-step explanation:

-4x+2<6

-4x<4

x<-1

because the sign doesnt have a line under it, it is an open hole

Based on the sides of LMN and OPQ, the congruence postulate that applies is B. Congruent - SSS.

It is used when the two triangles given have three equal corresponding sides which also have equal angles.

All three sides of LMN and OPQ are equal sides and have equal angles and so the SSS rule applies.

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Considering the given quadratic equation, the correct statement is given by:

The airplane reaches its maximum height of 81 feet in 12 seconds.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

In this problem, the equation is given by:

h(t) = -(t - 12)² - 81.

The vertex is (12,81), with a negative leading coefficient, hence it is a maximum point and the correct statement is given by:

The airplane reaches its maximum height of 81 feet in 12 seconds.

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Using translation concepts, it is found that the variables h and k affect the graph of the function as follows:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we consider the parent cube root function as follows:

[tex]y = \sqrt[3]{x}[/tex]

Then, these following changes happened:

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see the attachment photo!

Answer: B

[tex]f(x) = 7x-2[/tex] and        [tex]g(x) = \frac{x+2}{7}[/tex]

How to solve:

check if the composite functions of f(x) and g(x) are equal to x (this means they are inverses)

f[g(x)] = x

g[f(x)] = x

Step-by-step explanation:

Checking A.

[tex]f(x) = \frac{5}{x} -2[/tex]

[tex]g(x) = \frac{x+2}{5}[/tex]

[tex]f(g(x)) = f(\frac{x+2}{5} ) = \frac{5}{\frac{x+2}{5} } -2[/tex]

This does not equal x, so we know these are not inverses

Checking B.

[tex]f(x) = 7x-2[/tex]

[tex]g(x) = \frac{x+2}{7}[/tex]

[tex]f(g(x)) = f(\frac{x+2}{7} ) = 7(\frac{x+2}{7}) - 2 = x+2-2 = x[/tex]

[tex]g(f(x)) = g(7x-2) = \frac{7x-2 + 2}{7} = \frac{7x}{7} = x[/tex]

since both f(g(x)) = x and g(f(x)) = x, we can determine that they are inverses of each other.

The equation that is equivalent to the given equation is 4x = 68. No answer is correct

Equations are two expressions equated to each other. Given the equation below;

- 4(x - 5) + 8x = 91 - 3

Expand

-4x + 20. + 8x = 88

Collect the like terms

4x + 20 = 88
4x = 88 - 20

4x = 68

Hence the equation that is equivalent to the given equation is 4x = 68

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Celina says true that each of the following expressions is actually a binomial expression.

The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.

Celina says that each of the following expressions is actually a binomial in disguise:

a.  5abc - 2a² + 6abc = 11abc - 2a²

The is a binomial expression.

b.  5x³∙2x² - 10x⁴ + 3x⁵ + 3x∙(-2) x⁴ = 7x⁵ - 10x⁴

The is a binomial expression.

c.  (t+2)² - 4t = t² + 4

The is a binomial expression.

d.  5(a - 1) - 10(a - 1) + 100(a - 1) = 95a - 95

The is a binomial expression.

e.  (2πr - πr² )r - (2πr - πr²)∙2r = -2πr² + πr³

The is a binomial expression.

Celina says true that each of the following expressions is actually a binomial expression.

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Answer:

second option

Step-by-step explanation:

5 newton pushing it to the right

while a mere 4 newton pushing it to the left

more force pushing towards right

It makes that every time we flip a fair the probability of flipping tails is 50%.

Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. If it is equally likely and unlikely that the event would happen, it would have a probability of 0.5

Probability of flipping tails = number of tails / number of sides

1/2 = 0.5 = 50%

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The property identity of multiplication is applied in the given statement.

The properties of multiplication are:

From the property identity, you know that the product between any number by the number 1 equals that number. Example: 3 • 1=3.

The question shows 10=10•1. Like, it was shown previously, this occurs due to the identity property of multiplication.

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Answer:

C

Step-by-step explanation:

Evaluating the options :

Option A

⇒ 5/2x + 7/2 = 3/4x + 14

⇒ 2.5x - 0.75x = 14 - 3.5

⇒ 1.75x = 10.5

⇒ x = 6

⇒ No ×

===========================================================

Option B

⇒ 5/4x - 9 = 3/2x - 12

⇒ 1.5x - 1.25x = -9 + 12

⇒ 0.25x = 3

⇒ x = 12

⇒ No ×

=========================================================

Option C

⇒ 5/4x - 2 = 3/2x - 4

⇒ 1.5x - 1.25x = -2 + 4

⇒ 0.25x = 2

⇒ x = 8

⇒ Yes √

C is the right answer.