what is an equation equivalent to (-3) + (-7)

Drawing a number line is a useful way to visualize the relationship between tons and pounds and can help make conversions easier to understand.

If we were to draw a number line that shows the relationship between tons and pounds, we would start with the fact that one ton is equivalent to 2000 pounds. We would then draw tick marks on the number line for every whole number from 0 to 10, with each tick mark representing 100 pounds. So, the tick mark at 0 would represent 0 pounds, the tick mark at 1 would represent 100 pounds, the tick mark at 2 would represent 200 pounds, and so on. The tick mark at 20 would represent 2000 pounds, or one ton.

We could then continue the number line past 20 to show larger quantities of tons and pounds, with each additional tick mark representing another ton (2000 pounds). For example, the tick mark at 30 would represent 3000 pounds, or 1.5 tons, the tick mark at 40 would represent 4000 pounds, or 2 tons, and so on.

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Answer:

= 1.223

Step-by-step explanation:

0.409 more than 0.733 means the addition of 0.733 + 0.409

0.733 + 0.409

= 1.223

Approximately to one decimal place = 1.2

Answer:

7.5

Step-by-step explanation:

First, turn 25% into a decimal. You do this by dividing 25 by 100.

25/100 = 0.25

Now, multiply 0.25 by 30.

30 x 0.25 = 7.5

Answer:

just add a small amount and and square the new number

between 2.82 and 2.83 seems a bit closer

Step-by-step explanation:

x      x^2

2.8         7.84

2.81         7.8961

2.82 7.9524

2.83 8.0089

2.84 8.0656

2.85 8.1225

2.86 8.1796

2.87         8.2369

a) The steady-state vector for the transition matrix [0.8 0.1; 0.2 0] is [0; 0]. b) The steady-state vector for the transition matrix [1/7 4/7; 6/13 3/13; 7/14 7/14] is [0; 0; t], where t is a non-zero constant.

a) To find the steady-state vector for the transition matrix [0.8 0.1; 0.2 0], we need to solve the equation X = AX, where X is the steady-state vector and A is the transition matrix.

Setting up the equation, we have

X = [0.8 0.1; 0.2 0] * X

Expanding the matrix multiplication, we get

X₁ = 0.8X₁ + 0.2X₂

X₂ = 0.1X₁ + 0X₂

Simplifying the equations, we have

0.2X₁ - 0.1X₂ = 0

0.1X₁ - 1X₂ = 0

Solving these equations, we find that X₁ = X₂ = 0. The steady-state vector for this transition matrix is X = [0; 0].

b) To find the steady-state vector for the transition matrix [1/7 4/7; 6/13 3/13; 7/14 7/14], we need to solve the equation X = AX, where X is the steady-state vector and A is the transition matrix.

Setting up the equation, we have

X = [1/7 4/7; 6/13 3/13; 7/14 7/14] * X

Expanding the matrix multiplication, we get:

X₁ = (1/7)X₁ + (6/13)X₂ + (7/14)X₃

X₂ = (4/7)X₁ + (3/13)X₂ + (7/14)X₃

Simplifying the equations, we have

(6/13)X₂ + (7/14)X₃ = 0

(4/7)X₁ + (3/13)X₂ + (7/14)X₃ = 0

Solving these equations, we find that X₁ = 0, X₂ = 0, and X₃ can take any non-zero value. Therefore, the steady-state vector for this transition matrix is X = [0; 0; t], where t is a non-zero constant.

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we have that

The formula to calculate the midpoint between two points is equal to

In this problem

we have

Y(-2,5)=(x1,y1)

H(0,3)=(x2,y2)

substitute given values in the formula

therefore

Answer:

a ) 91.2061

b1) 90

b2) round to 1 significant figure

Answer:

Step-by-step explanation:

Given: |x + 5| = 9

Absolute value is the exact distance of an integer or number from zero on a number line. As a result, the absolute value is never negative and is always positive.

You should solve for x in this case:

|x + 5| = 9

      -5   -5

x = 4

|x + 5| = 9

-x - 5 = 9    <- The absolute value makes what is in it positive. Taking it off will make what was in it negative.

-x - 5 = 9

    +5   +5

-x = 14

x = -14

Answer:

2 days

Step-by-step explanation:

because if he buys two each day then he will have four cards on the second day

Answer:

70.2307692308

Rounding to the nearest whole number is 70

70.23 is the best answer

Step-by-step explanation:

Divide 913 and 13 to get the answer

The triangles are congruent if all three sets of comparable sides are present. The side-side-side shortcut is a congruence technique (SSS). Side-angle-side (SAS), which uses two sets of sides and an angle between them that is known to be congruent, is another shortcut.

SSS, which stands for "side, side, side," denotes that there are two triangles with identical angles on all three sides. The triangles are congruent if their third sides are the same as those of another triangle. The triangles are congruent if two pairs of corresponding angles and the included sides are both true. This standard is called angle-side-angle (ASA).

Angle-angle-side (AAS) is another criterion that takes into account the congruence of two pairs of angles as well as the non-included side. SSS stands for "side, side, side," which signifies that we have two triangles with equal sides on all three sides. SAS, ASA, and AAS are acronyms for these rules. "Side, Angle, Side" stands for two triangles whose two sides and one included angle are known to be equal.

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The series ∑ e^n / n^2, where n starts from 1 and goes to infinity, diverges. This means that the series does not have a finite sum and keeps growing indefinitely.

To determine the convergence or divergence of the series ∑ e^n / n^2, we can use various tests. One commonly used test is the comparison test.

When we compare the given series to a known series, such as the harmonic series or geometric series, we can see that the terms of the given series do not decrease or approach zero as n increases. In fact, the exponential term e^n grows exponentially, and the denominator n^2 increases at a much slower rate.

As a result, the terms of the series do not tend to zero, and we can conclude that the series diverges. In other words, the sum of the series goes to infinity as n approaches infinity. This indicates that the series does not have a finite sum and keeps growing indefinitely.

Therefore, the series ∑ e^n / n^2 diverges.

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The solutions to the quadratic equation g(x) = 0 are x = 2 and x = 3.

To solve the given function g(x) = x2 x − 6 |x − 2|, we need to find the value of x that makes the function equal to zero. We can do this by splitting the function into two separate cases based on the value of |x - 2|.

Case 1: x - 2 ≥ 0
In this case, |x - 2| = x - 2. So we can rewrite the function as:
g(x) = x2 x − 6 (x - 2)
0 = x2 x − 6 (x - 2)
0 = x3 - 6x + 12x - 12
0 = x3 + 6x - 12

Using the rational root theorem, we can find that x = 2 is a root of this equation. So we can factor the equation as:
0 = (x - 2)(x2 + 8x + 6)
The quadratic factor has no real roots, so the only solution in this case is x = 2.

Case 2: x - 2 < 0
In this case, |x - 2| = -(x - 2) = 2 - x. So we can rewrite the function as:
g(x) = x2 x − 6 (2 - x)
0 = x2 x − 6 (2 - x)
0 = x3 - 2x2 - 6x + 12
Using the rational root theorem, we can find that x = 3 is a root of this equation. So we can factor the equation as:
0 = (x - 3)(x2 + x - 4)
The quadratic factor has no real roots, so the only solution in this case is x = 3.

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The best description of the probability of drawing a king from the deck is 1 out of 13, or 1/13.

The probability of drawing a king from a standard deck of 52 playing cards can be determined by dividing the number of favorable outcomes (number of kings) by the total number of possible outcomes (total number of cards in the deck).

In a standard deck, there are 4 kings (one king for each suit: hearts, diamonds, clubs, and spades). Therefore, the number of favorable outcomes is 4.

The total number of possible outcomes is 52 (the total number of cards in the deck).

So, the probability of drawing a king is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 4 / 52

Simplifying the fraction gives us:

Probability = 1 / 13

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For r values greater than 0, not equal to 1, and satisfying the other inequalities indicated above, the equation will be a real number.

For determining the values of r for which the expression will be a real number, we need to consider the restrictions on the expression's base and exponent.

Let's break down the expression:

(r³m / r^⁻m t⁴ⁿ)¹/ⁿ . (r¹/ⁿ / t²/m )^⁻m

In the first term, we have (r³m / r^⁻m t⁴ⁿ)¹/ⁿ. The exponent 1/n implies that the expression inside the parentheses needs to be raised to the power of 1/n. Similarly, in the second term, we have (r¹/ⁿ / t²/m )^⁻m.

To ensure that the expression is a real number, we need the base of each term to be positive and nonzero. Additionally, for the first term, the exponent 1/n should be defined, which means that the expression inside the parentheses needs to be nonnegative.

Considering these conditions, we can analyze each term separately:

1. First term: (r³m / r^⁻m t⁴ⁿ)¹/ⁿ

  - The base r must be greater than 0 and not equal to 1, as division by 0 or 1 would lead to undefined values.

  - The expression inside the parentheses, r³m / r^⁻m t⁴ⁿ, should be nonnegative to satisfy the exponent 1/n. This implies that r^⁻m t⁴ⁿ ≥ 0.

2. Second term: (r¹/ⁿ / t²/m )^⁻m

  - The base r should also be greater than 0 and not equal to 1.

  - The expression inside the parentheses, r¹/ⁿ / t²/m, needs to be nonnegative to satisfy the negative exponent. This implies that r¹/ⁿ / t²/m ≥ 0.

Combining these conditions, we find that the values of r satisfying the requirements for the expression to be a real number are:

0 < r ≠ 1, and r^⁻m t⁴ⁿ ≥ 0, and r¹/ⁿ / t²/m ≥ 0.

To summarize, the expression will be a real number for values of r that are greater than 0, not equal to 1, and satisfy the additional inequalities mentioned above.

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If five cards are randomly chosen from a standard deck of 52 cards, it can be proven that at least two of the cards will be of the same suit.

To prove this statement, we can use the pigeonhole principle. A standard deck of 52 cards consists of four suits: hearts, diamonds, clubs, and spades, with each suit containing 13 cards. When five cards are chosen randomly, we can think of each card as a pigeon, and the four suits as pigeonholes. Since we have more pigeons (cards) than pigeonholes (suits), by the pigeonhole principle, there must be at least two pigeons (cards) in one of the pigeonholes (suits).

Now, let's consider the worst-case scenario where the first four cards chosen belong to four different suits. In this case, we have four pigeons (cards) distributed among the four pigeonholes (suits). When we choose the fifth card, no matter which suit it belongs to, it will necessarily match the suit of one of the previously chosen cards. Thus, there will always be at least two cards of the same suit among the five randomly chosen cards from a standard deck.

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Scientific notation is a way of writing really big or really small numbers that take a lot of work to write out fully. Scientific notation is used because it's tiring to write out the numbers, which are usually very long. It's a way to shorten them while still knowing what the original number is.

The most appropriate choice for trigonometry will be given by -

Angle between beam and road is 0.33°

What is Trigonometry?

Trigonometry shows the relationship between sides and angles of a right angled triangle.

There are six trigonometrical functions. They are \(sin\theta, cos\theta, tan\theta, cos\theta, sec\theta, cosec\theta\)

\(sin\theta = \frac{perpendicular}{hypotenuse}\\\\cos\theta = \frac{base}{hypotenuse}\\\\tan\theta = \frac{perpendicular}{base}\\\\cot\theta = \frac{base}{perpendicular}\\\\sec\theta = \frac{hypotenuse}{base}\\\\cosec\theta = \frac{hypotenuse}{perpendicular}\\\)

Trigonometry is a very important tool in mathematics.

Here,

The headlights of an automobile are set such that the beam drops 2.00 in. for each 28.0 ft in front of the car.

According to the figure attached here, 2.0 inch forms the height of the triangle and 28.0 ft forms the base of the triangle

Let the angle be \(\theta\). Now trigonometry is applied here

\(tan\theta = \frac{\frac{2}{12}}{28}\\tan\theta = \frac{1}{6 \times 28}\\tan\theta = \frac{1}{168}\\\theta = tan^{-1}\frac{1}{168}\\\theta = 0.33^{\circ}\)

Angle between beam and road is 0.33°

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If the snacks are to be identical without any food left over only one snack bags can  be made by Angela

The number of granola bars = 28

The number of pieces of dried fruit = 45

If the snack bags should be identical without any food left over, then we need to find out  the greatest number of snack bags, we should find out the Greatest common factor(GCF) or highest common factor(HCF) between 28  granola bars and 45 packages of string cheese

Since , factors of 28 = 1, 2, 4,7,14,28

Factors of 45 = 1, 3,5,9,15,45

Common factors of 28 and 45 = 1

Greatest Common factors of 28 and 45 = 1

Hence, the greatest common factor of 28 and 45 is 1 as only 1 is the common factor in the factors of 28 and the factors of 45.

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Answer:

11

Step-by-step explanation:

Based on the provided informations and given values , the expected payout of the game is calculated out to be  $177.

We can calculate the expected payout of the game by multiplying each payout amount by its corresponding probability and summing up the results:

Expected payout = ($200 x 0.126) + ($3,800 x 0.03) + ($190,000 x 0.0002)

Expected payout = $25.20 + $114 + $38

Expected payout = $177 (rounded to the nearest dollar)

Therefore, it can be concluded that the expected payout of the game is found to be $177.

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Answer: 14.9 feet

Step-by-step explanation:

To find the distance above the ground that the top of the ladder touches the wall, we can use the Pythagorean Theorem.

We can set up the equation as follows:

a^2 + b^2 = c^2

Where c is the length of the ladder (15 feet), a is the distance above the ground that the top of the ladder touches the wall, and b is the distance that the bottom of the ladder is from the wall (2 feet).

Substituting these values and solving for a, we get:

a^2 + 2^2 = 15^2

a^2 + 4 = 225

a^2 = 221

a = sqrt(221)

Rounding to the nearest tenth, we get a = 14.866 feet. This is the distance above the ground that the top of the ladder touches the wall.

Therefore, X = 14.9 feet.

Answer:

14.9

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = {c}^{2} \\ {2}^{2} + {b}^{2} = {15}^{2} \\ 4 + {b}^{2} = 225 \\ 4 - 4 + {b}^{2} = 225 - 4 \\ {b}^{2} = 221 \\ \sqrt{ {b}^{2} } = \sqrt{221} \\ b = 14.866 \\ b = 14.9\)

The distance between points B and C is 10.3 miles.

Trigonometry is the study of angles and the angular relationships of planar and three-dimensional figures. Trigonometry is made up of trigonometric functions (also known as circular functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.

If we have a triangle with a right angle,

Then, tan = Opposite/Adjacent side

To find the distance,

In the ABC right angle triangle,

5.7 miles on the adjacent side = AB

θ = 61°

We must locate the BC.

tan = Opposite/Adjacent side

tan61°= BC/5.7

BC = 5.7×tan61°

BC = 10.283 = 10.3 (to the nearest tenth).

The figure is attached below.

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Answer:

(A). F(x) = (x+1)^2

Step-by-step explanation:

If you replace x with the values of the axis, you get all the coordinates of the graph.

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Answer:

m² - 100 = -99

Step-by-step explanation:

Two numbers are 10 units away from the midpoint m in different directions.

So, one number is (m + 10 ) away form 'm' and another is ( m + 10) away from 'm' in opposite direction.

(m + 10) ( m-10) = -99

m² - 10² = -99

m² - 100 = -99

Answer:

-6

Step-by-step explanation:

to solve you need to substitute the value of x in the equation which is given as 2so if you rewrite the equation it will be

-2(2)+10

=(-2*2)+10

=-4+10

=6

Answer:

angle 1= 110 degrees

Step-by-step explanation:

A line = 180 degrees

Since angle 1 and 4 make a line then both of them have to equal 180 degrees.

So, you would just subtract 180-70(angle 4)= 110 which gives you angle 1.

You could do the same with angle 4 and 3, angle 3 and 2, and angle 2 and 1 since they all form a line.

Answer:

a=b b=me me = You me +you =

Answer:

102

Step-by-step explanation:

So 714 divided by 7 = 102

Answer:

x ≈ 9.7

how mny decimal places do u need?

Step-by-step explanation:

3( x-3 )= 20

>3x - 9 = 20

>3x = 29

> x= 9.66666667