13. Each side of a rhombus is 14 in. long. Two of the sides form a 60 angle. Find the area of ​​the rhombus. Round your answer to the nearest square inch.

Answer:

-3 =< x < 2

Step-by-step explanation:

-3 is less than or equal to x

x is less than +2

\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Inequalities.

So basically here, we can see that, the dark dot indicates the closed bracket and white dot shows the open bracket.

so finally we get as,

=>

-3<=X<2

or we can write as,

=>

[-3,2)

Step-by-step explanation:

A has no solution.

15x - 45 = 15x + 75

-45 = 75

is false for every value of x.

in other words, when you add to the same thing different amounts, the result cannot be identical ever.

B has a solution

-45x - 45 = -75x + 75

-120x = 120

-x = 1

x = -1

C has a solution

45x - 45 = -15x + 75

60x = 120

x = 2

D has a solution

15x - 45 = 75x + 75

-120 = 60x

-2 = x

Answer:

D 50x - 99 x =79 + 31 is your answer

Step-by-step explanation:

SO D IS UR NSWER

I think B.9 is correct

1*3*5=15

1+3+5=9

If c is a constant, then

E[X - c] = E[X] - E[c]

… = E[X] - c

and

E[(X - c)²] = E[X² - 2cX + c²]

… = E[X²] - 2c E[X] + E[c²]

… = E[X²] - 2c E[X] + c²

Recall the definition of variance:

Var[X] = E[(X - E[X])²]

… = E[X² - 2X E[X] + E[X]²]

… = E[X²] - E[2X E[X]] + E[E[X]²]

… = E[X²] - 2E[X] E[X] + E[X]²

… = E[X²] - E[X]²

The standard deviation of X is 3.2, so Var[X] = 3.2² = 10.24.

By this definition,

Var[X - c] = E[(X - c)²] - E[X - c]²

but again because c is constant,

Var[X - c] = Var[X]

This is because

Var[X - c] = E[(X - c)²] - E[X - c]²

… = E[X² - 2cX + c²] - (E[X] - E[c])²

… = E[X²] - 2c E[X] + E[c²] - E[X]² + 2 E[X] E[c] - E[c]²

… = (E[X²] - E[X]²) - 2c E[X] + E[c]² + 2c E[X] - E[c]²

… = Var[X]

Then

10.24 = 3099.2 - E[X - c]²

⇒   E[X - c]² = 3088.96

⇒   E[X - c] = 55.5784

The graph for the given information is given in the attachment.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The graph is attached below :

It is said that a pitcher pitches a ball to a hitter. The ball is hit towards center field, hits the center field fence, then drops to the ground.

When the pitcher throws the ball, it advances towards the batter. The ball has a particular height during its action, and its height remains constant. The red line depicts this motion.

After the batter strikes the ball, it swiftly ascends to its maximum height. The blue line depicts this motion.

When the ball attains its maximum height, it strikes the fencing and loses elevation. The height is reduced to zero. The green line in the graph depicts this.

Hence, the graph for the given information is given in the attachment.

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From the given triangle, the length of the side labeled "x" is 42.7.

Correct option: C

Triangular polygons in geometry are those with three sides and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees.

First, calculate the height (h) of the triangle, as below:

tan(α) = Opposite/Adjacent

Given,

α = 48º

Opposite=23

Adjacent=h

When you substitute these values into

tan(α) = Opposite/Adjacent,

tan(α) = Opposite/Adjacent

tan (48º)= 23/h

Now, you must clear "h":

h × tan(48º) = 23

h = 23 / tan(48º)

h = 20.71

Next, the value of "x" is:

Cos(β) = Adjacent/Hypotenuse

β = 61º

Adjacent = h = 20.71

Hypotenuse=x

When you substitute these values into

Cos(β) = Adjacent/Hypotenuse

Cos(61º)=20.71/x

Now, must clear "x", as below:

x (Cos(61º)) = 20.71

x = 20.71 /Cos(61º)

x = 42.72

So, option C is the correct answer.

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Answer:

72

Step-by-step explanation:

180/2.5

= 72

The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

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Answer:

14 servings

Step-by-step explanation:

Step 1

We convert 7 pounds to ounces

0.0625 pound = 1 ounce

7 pounds = x

Cross Multiply

0.0625x = 7

x = 7/0.0625

x = 112 ounces

Step 2

The number of 8 ounce servings she can give to her dog is calculated as:

8 ounces = 1 serving

112 ounces = x servings

Cross Multiply

8 × x = 112 × 1

8x = 112

x = 112/8

x = 14 servings

Therefore, the number of 8 ounce servings she can feed her dog is 14

(-6, 14) and (2, -18)

The slope of the line that passes through the point.

y2 - y1 / x2 - x1

-18 - 14 / 2 + 6

= -32 / 8

= -4

Option D. -4

Using an arithmetic sequence, we have that:

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

\(a_n = a_1 + (n - 1)d\)

In which \(a_1\) is the first term.

In this problem, we have that:

Hence, considering the common difference, each term is the previous term subtracted by 10, and:

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The penny will fall from distance of 232 feet during the 8th second only, as it falls 960 feet in the first 8 seconds, but 728 feet in the first 8 seconds.

The distance the penny falls each second is increasing by 32 feet (16 feet + 32 feet = 48 feet, 48 feet + 32 feet = 80 feet, and so on). Therefore, during the 8th second, the distance it will fall is:

16 + 48 + 80 + ... + (8 - 1) * 32 feet

Using the formula for the sum of an arithmetic sequence, we get:

(8 / 2) * (16 + (8 - 1) * 32) feet

= 4 * (16 + 7 * 32) feet

= 4 * 240 feet

= 960 feet

So the penny will fall 960 feet during the first 8 seconds. However, we need to subtract the distance it fell during the first 7 seconds to find the distance it fell during the 8th second only. The total distance it fell during the first 7 seconds is:

16 + 48 + 80 + ... + (7 - 1) * 32 feet

= (7 / 2) * (16 + (7 - 1) * 32) feet

= 3.5 * (16 + 6 * 32) feet

= 3.5 * 208 feet

= 728 feet

Therefore, the penny will fall 960 - 728 = 232 feet during the 8th second only.

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The required additional combinations would this allow is 770.

Mathematical technique that decides the quantity of potential game plans in an assortment of things where the request for the choice doesn't make any difference. In mixes, you can choose the things in any request. Combinations can be mistaken for changes.

Right now there are ¹⁰C₅ possible combinations. With any number x from 1 to 9, the quantity of ways of picking a bunch of x buttons is ∑₁⁹ ¹⁰Cₐ

Using identity,

∑ⁿₐ ⁿCₐ = 2ⁿ

So the quantity of extra combinations is simply,

2¹⁰ - ¹⁰C₀ - ¹⁰C₁₀ - ¹⁰C₅

1024 - 1 - 1 - 252 = 770

Thus, possible combinations are 770.

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Answer:

angle KML= 50 degrees

Step-by-step explanation:

because triangle JHK is congruent to triangle LMK

so y = 50 then angle KML = 50 degrees

Question:

Find the area of the composite figure round to the nearest tenth

Answer:

Step-by-step explanation:

(25 x 12) + (10 x 6)

round it 360 >>>>> 360 it is the same

Answer:

360

Step-by-step explanation:

Split the given figure up into two different rectangles. One of these rectangles will have the dimensions (12 and 25), while the other will have the dimensions (6 and 10)  Find the area of each rectangle using the general formula                (\(length * width = area\)), then add the two areas up to find the total area of the figure.

12 * 25

= 300

6 * 10

= 60

300 + 60

= 360

The number of bears living in the area after 17 years is; 22555

We are given the function;

f(t) = 103/(1 + 26e^(-0.31t))

Where f(t) is a function that models the number of bears living in the area after t period of years.

Thus, to find the number of bears living in the area after 17 years, we will just substitute 17 for t in the given function to get;

f(17) = 103/(1 + 26e^(-0.31*17))

f(17) = 103/0.00456653759

f(17) ≈ 22555 bears

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The model's fit to the data is weak, indicated by a correlation coefficient of -0.34. There is a weak negative relationship between the variables, with the model's predictions being imprecise and scattered around the line of fit.

A relationship coefficient of - 0.34 shows a frail negative connection between's the factors in the information. This intends that as one variable expands, the other variable will, in general, diminish, however, the relationship isn't a serious area of strength for exceptionally.

The line of fit for the information recommends that there is a general pattern or example, however, it doesn't fit the information focuses intently. The scatterplot of the information would show focuses spread around the line, for certain focuses straying a considerable amount from it.

The model's capacity to foresee the specific upsides of the reliant variable in light of the free variable(s) is restricted. In outline, the attack of the model to the information isn't an area of strength for extremely, there is a frail negative connection between the factors.

The model's forecasts may not be profoundly precise, and there may be different elements or factors not caught by the model that impact the information.

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Answer:

18423

Step-by-step explanation: 18423 (I think this is correct. Sorry if this didn't help.)

Answer:

\(\frac{3}{2}\)

Step-by-step explanation:

Answer:

(4)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \(\frac{2}{3}\) x - 5 ← is in slope- intercept form

with slope m = - \(\frac{2}{3}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{2}{3} }\) = \(\frac{3}{2}\) → (4)

The Cartan-Dieudonné theorem states that any isometry in the orthogonal group O(V) of an n-dimensional non-degenerate quadratic space (V, H) can be expressed as a product of at most n reflections.

Each reflection in O(V) fixes a subspace of dimension (n - 1). When we take the product of two reflections, it fixes the intersection of their respective fixed subspaces, which is a subspace of dimension (n - 2). Continuing this process, the product of n reflections fixes the intersection of (n - 1) (n - 2)-dimensional subspaces, resulting in a fixed subspace of dimension 0, which is a single point.

To prove optimality, we consider the example of -1, the negative identity matrix, in O(V). -1 fixes only the origin and no other points in V. Since a reflection fixes a subspace of at least dimension 1, it is not possible to express -1 as a product of less than n reflections.

Therefore, the example of -1 in O(V) serves as a precise counterexample, illustrating that there exists an isometry that cannot be written as a product of less than n reflections. This demonstrates the optimality of the Cartan-Dieudonné theorem, which asserts that n reflections are required to represent any isometry in O(V).

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9514 1404 393

Answer:

Step-by-step explanation:

As in any "solve for" situation, you "undo" what is done to the variable.

Here, (for 3 of the 4 problems) the variable is ...

We undo these operations in reverse order. First, we add the opposite of the added constant. Then we divide by the coefficient of x². Finally, we take the square root to "undo" the squaring operation.

1. 4x² -30 = 22 . . . . . . given

  4x² = 52 . . . . . . . . . add 30 to both sides

  x² = 13 . . . . . . . . . . . divide both sides by 4

  x = ±√13 . . . . . . . . . take the square root. Both signs are solutions.

__

2. 3x² +4 = 166 . . . . . given

  3x² = 162 . . . . . . . . add -4 to both sides

  x² = 54 . . . . . . . . . . divide both sides by 3

  x = ±√54 . . . . . . . . take the square root. 54 = 3²·6 has a square factor

  x = ±3√6 . . . . . . . simplified result

__

3. (1/3)x² +14 = 36 . . . . given

  (1/3)x² = 22 . . . . . . . . add -14 to both sides

  x² = 66 . . . . . . . . . . . multiply both sides by 3

  x = ±√66 . . . . . . . . take the square root

__

4. The same "undo" idea applies. Here, we can start with the square root.

  (x -4)² = 16 . . . . . given

  x -4 = ±4 . . . . . . . square root

  x = 4 ± 4 . . . . . . add 4 to both sides

This means x = 4-4 = 0, or x = 4+4 = 8.

The solutions are x = 0, x = 8.

Out of all the answer choices, d) 1.327 × 10-31 ng is the only one that matches the calculated value of the mass of a single bromine atom in nanograms. Therefore, d) is the correct answer.

To understand why, we need to convert the mass of a single bromine atom from grams to nanograms.

There are 10^9 nanograms in a single gram, so we can use this conversion factor to make the necessary calculation:
1.327 × 10-22 g x (10^9 ng/1 g) = 1.327 × 10-13 ng

However, none of the answer choices match this value. We need to use scientific notation to convert 1.327 × 10-13 ng into one of the given answer choices.
a) 1.327 × 10-16 mg = 1.327 × 10^-10 ng (since 1 mg = 10^6 ng)
b) 1.327 × 10-25 kg = 1.327 × 10^-4 ng (since 1 kg = 10^12 ng)
c) 1.327 × 10-28 μg = 1.327 × 10^-19 ng (since 1 μg = 10^3 ng)
d) 1.327 × 10-31 ng = 1.327 × 10-31 ng

Out of all the answer choices, d) 1.327 × 10-31 ng is the only one that matches the calculated value of the mass of a single bromine atom in nanograms. Therefore, d) is the correct answer.

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Refer to the attachment.

Therefore,  subscript indices must be either positive integers or logical. True

Explanation: The statement "subscript indices must be either positive integers or logicals" is true. Subscript indices are used to identify elements in an array. A positive integer subscript identifies a particular element in an array, while a logical subscript identifies a subset of elements based on a logical condition. For example, if we have an array A, then A(1) would identify the first element of the array, while A(A > 0) would identify all elements in the array that are greater than zero. Subscript indices cannot be negative or non-integer values.

Therefore,  subscript indices must be either positive integers or logical. True

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The null hypothesis is that the mean mass of vitamin c per tablet does not differ from 297 milligrams

The alternative hypothesis is that the mean mass of vitamin c per tablet differs from 297 milligrams.

The null hypothesis usually states that there is no relationship between the population parameters. It is known as the true hypothesis. The alternative hypothesis states that there is a relationship between the population parameters.

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The angular speed is π / 12 rad/s.

Given that a circle moves through an angle of 145° in 75 seconds and the radius of the circle is 15 cm, we are required to find the linear and angular speeds.

Linear speed is the distance traveled per unit of time. It can be calculated using the formula: Linear speed = 2πr / T, where r is the radius of the circle and T is the time taken to cover the distance. Substituting the given values, we have:

Linear speed = 2π × 15 / 75 = 2π / 5 cm/s

Therefore, the linear speed is 2π / 5 cm/s.

Angular speed, denoted by "ω," is the rate of change of angular displacement and is measured in radians per second (rad/s). The formula to calculate angular speed is: Angular speed = θ / t, where θ is the angular displacement in radians and t is the time taken in seconds. Substituting the given values, we have:

Angular speed = 145 × π / 180 / 75 = π / 12 rad/s

Therefore, the angular speed is π / 12 rad/s.

In summary, the linear speed of the circle is 2π / 5 cm/s, and the angular speed is π / 12 rad/s.

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Answer:

pleasee reply me ...

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also h*t and s**y ..

Answer:

plz mark me as a brainelist

hope it helps you