Area of a parallelogram
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
16 yd
13 yd
K-12 yd →

-3 is not an irrational number, but it is a real number, a rational number, an integer, and a whole number.  

What are whole numbers and rational numbers?

All numbers, including integers, fractions, decimals, and irrational numbers, that can be represented on a number line are considered real numbers.

In summary, real numbers include rational and irrational numbers, and integers include whole number and their negatives.

When two integers are compared, a number can be stated as a ratio, such as -3/1, 1/2, or 5/7. Writing rational numbers as recurring or ending decimals is an option.

Numbers that can't be stated as a ratio of two integers, like 2 or, are referred to as irrational numbers. It is impossible to write irrational numbers using repeating or ending decimals.

Positive and negative whole numbers, as well as zero, are considered integers. Since whole numbers are non-negative integers, they contain zero and only positive values.

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Answer:

The length of the actual wall is 405 inches or 33.75 feet

The perimeter of an entire circle is the circunference, which is given by

where d is the diameter.

In our case d=23cm then, by sbustituting this values into the last formula,we get

which gives C= 72.26 cm.

However, we need the perimeter of half circle, which is half C plus the vertical segment (23cm), that is

then, the perimeter P is

then, the answer is 59.13 cm

Answer:

38 cm-13 cm

4 ft. x 4 ft.

3 in. + 4 in.

Step-by-step explanation:

That is from rounding to the nearest tenth.

The total cost of rents is $180.

In the given table,

The cost of skis per day  = $48

The cost of pole per day = $12

Now since given that,

Alveres rents for 3 days

Therefore,

The cost of skis for 3 days  = $48 x 3

                                             =  $144

The cost of pole for 3 days = $12 x 3

                                             = $36

To find the total cost of rental,

Adding the cost of 3 days of skis and cost of 3 days of poles,

Hence,

Total cost of rents = $144 + $36

                               = $180

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The Boolean expression A >= B is equivalent to  !(A < B) (option A)

To simplify a Boolean expression, use De Morgan's Law.

De Morgan's Law is used to simplify or find the equivalent of a negation of compound expressions.

The principle is:

NOT (A AND B) is equivalent to (NOT A) OR (NOT B)

NOT (A OR B) is equivalent to (NOT A) AND (NOT B)

When the expression involves >, <, = signs, then to simplify the expression, move the not and flip the sign.

! is the symbol of negation or NOT.

Hence,

! (>) becomes <=

! (<) becomes >=

Here are some examples:

!(A > B) is equivalent to (A <= B)

!(A <= B) is equivalent to (A > B)

!(A >= B) is equivalent to (A < B)

!(A == B) is equivalent to (A != B)

!(A != B) is equivalent to (A == B)

!(A < B) is equivalent to (A >= B)

From the above list we can conclude that A >= B is equivalent to !(A < B) (option A)

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The temperature at 8:00 A.M. was 15°C.

Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.

We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C

3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.

Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C

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Step-by-step explanation:

\((x { }^{2} - {y}^{2} ) {}^{2} = ( {x}^{2} + y {}^{2} ) {}^{2} - 4x {}^{2} y {}^{2} \)

The measure of the indicated parts of the circle are

∠ A = 41

Arc CE = 52

∠ C = 41

∠ D = 42

∠ ABE = 68

The missing parts are solved using the relationship between intercepted arc and inscribed angle

inscribed angle = 0.5 * intercepted arc

∠ A (inscribed angle)  = 0.5 * 82

∠ A (inscribed angle)  = 41

Arc CE = 2 * 26 = 52

∠ C = ∠ A = 0.5 * 82 = 41

∠ D = 0.5 * 84

∠ D = 42

∠ ABE =  ∠ ABC + ∠ CBE (adjacent angles)

where

∠ CBE = 26

∠ ABC = 0.5 * 84 = 42

∠ ABE =  42 + 26 = 68

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A cubic polynomial can be used to illustrate a parabolic path.

What is cubic polynomial?

A cubic function in mathematics is one with the formula f(x)=ax3+bx2+cx+d, where aneq 0 and the coefficients a, b, c, and d are complex numbers, and the variable x has real values. In other words, it is a real function as well as a polynomial function of degree three.

What is Parabola?

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.

We must resolve a quadratic equation in order to get the x-intercepts. A parabola's vertex is the function's maximum and minimum. A cubic function is then determined by four points that are neither in a line nor a parabola.

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if the square has the same perimeter as the rectangle then the value of y is 92.

The perimeter of a square is equal to the sum of all four sides, so a square with a side of 7 cm has a perimeter of 4 * 7 cm = 28 cm.

The perimeter of the rectangle is equal to twice the sum of the length and width. So for a rectangle of length y/8-3cm and width 4cm, the perimeter is 2 * (y/8-3+4) cm = (y/4-3+8) cm = y/4 . +5 cm.

Since squares and rectangles have the same perimeter, the two perimeter formulas can be equal.

28cm = y/4+5cm

You can solve for y by isolating it on one side of the equation.

years/4+5 = 28

y/4 = 23

y=92

So the value of y is 92.

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Answer/Step-by-step explanation:

Given:

5(r - s)

r = 9

s = 1

Required:

Evaluate and simplify

Solution:

5(r - s)

Plug in the values of r and s

5(9 - 1)

= 5(8)

= 40

A probability of 1/10000 means that only one person can get the Pick 4 lottery among 10000 pickers.

The term probability has to do with the chance that an event will occur or not. Usually probability is expressed as a fraction.

The meaning of the saying that the  probability of picking the winning 4-digit number in a Pick 4 lottery is 1/10000 is that only one person can get the Pick 4 lottery among 10000 pickers.

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Answer:

36

Step-by-step explanation:

permeter is solved by doing length+length+width+width so therefore you would do 13+13+5+5 which equals 36 as your answer

Answer:

B) 8x + 350 ≥ 800

Step-by-step explanation:

A dance squad needs at least $800, this means the inequality sign will be greater than or equal to.

They already have $350, and each ticket is $8.

So,

8x + 350 ≥ 800

Answer:

One hour

Step-by-step explanation:

Sixty minutes is one hour. Hope I helped you out.

Answer:

1 hour

Step-by-step explanation:

60 seconds = 1 minute

60 minutes = 1 hour

Lil Pump = Forever

Answer:

7.6n−17.4

Step-by-step explanation:

Hope this helps :)

After simplification we get  \(7.6n-17.4\)

Given expression is,

                      \((6.2n-8.3)+(-9.1+1.4n)\)

Now simplify,

                     \((6.2n-8.3)+(-9.1+1.4n)\\\\=6.2n-8.3-9.1+1.4n\\\\=6.2n+1.4n-8.3-9.1\\\\=7.6n-17.4\)

Hence, after simplification we get \(7.6n-17.4\)

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Answer:

The relative frequency of a coin showing heads is calculated by dividing the number of heads by the total number of coin flips.

In this case, the number of heads is 22 and the total number of coin flips is 50.

So the relative frequency of the coin showing heads is:

22/50 = 0.44

Therefore, the correct answer is 0.44.

Answer:

2x2x2x2x3

Step-by-step explanation:

Answer:

4.667

Step-by-step explanation:

f(x) = 2/3 × x^(3/2) + 4

the arc length of a function f(x) between 2 points A and B is

A integral B (sqrt(1 + f'(x)²)dx)

in our case

f'(x) = 3/2 × 2/3 × x^(1/2) = x^(1/2)

f'(x)² = (x^(1/2))² = x^(2/2) = x¹ = x

A = 0

B = 3

0 integral 3 (sqrt(1 + x))dx) = 0 integral 3 ((1 + x)^(1/2) dx)

0 interval 3 (2/3 × (1 + x)^(3/2)) =

= 2/3 × (1 + 3)^(3/2) - 2/3 × (1 + 0)^(3/2) =

= 2/3 × sqrt(4³) - 2/3 × 1 = 2/3 × 8 - 2/3 = 16/3 - 2/3 =

= 14/3 = 4.66666666... ≈ 4.667

According to the given temperature function, the substance will not be in liquid state in range is written as the inequality -30.874 < x < 566.121.  

Function:

Function refers the special relationship where each input has a single output. It is often written as "f(x)" where x is the input value.

Given,

Matter in a liquid state when it’s temperature is between it’s melting point and boiling point. Suppose that some substance has a melting point of -34.93 degrees Celsius and a boiling point of -332.29 degrees Celsius.

Here we need to find the range of temperatures in degrees Fahrenheit for which this substance is not in liquid state.

Here we have the following details

Melting point = -34.93C°

Boiling point = -332.29C°

Function = C = 5/9 (F - 32)

n order to find the inequality of the function we have to apply the value of  boiling and melting point in it,

First, we have to apply the value of melting point, then we get,

=> -34.93 = 5/9 (F - 32)   Distribute

=> -34. 93 = 5/9 F - 160/9    Multiply both sides by 9

=> -314.37 = 5F - 160   Add 160 on both sides

=> -154.37 = 5F     Divide both sides by 5

=> -30.874= F

Therefore, the melting point in F= -30.874.

Similarly, for the boiling point it can be calculated as,

=> -332.29 = 5/9 (F - 32)   Distribute

=> -332.29 = 5/9 F - 160/9    Multiply both sides by 9

=> -2990.61 = 5F - 160   Add 160 on both sides

=> -2830.61 = 5F     Divide both sides by 5

=> -566.121= F

Therefore, the boiling point in F= -566.121

So, the resulting inequality is -30.874 < x < 566.121.

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The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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Answer:

x-intercept(s): (32,0),(34,0)(32,0),(34,0)

y-intercept(s): (0,36)

Step-by-step explanation:

thats the full answer

Answer: 6:1

Step-by-step explanation:

The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

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Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

Answer:

A. 2x + 20

B. 20y + 15

C. 21c - 7

D. 24n + 28

E. 10x - 50

F. 18n + 45

Answer:

a)2x+20

b)20y+15

c)21c-7

d)24n+28

e)10x-50

f)18n+45

Step-by-step explanation:

a)2(x+10)=2*x+2*10=2x+20

b)5(4y+3)=5*4y+5*3=20y+15

c)7(3c-1)=7*3c-7*1=21c-7

d)4(6n+7)=4*6n+4*7=24n+28

e)10(x-5)=10*x-10*5=10x-50

f)9(2n+5)=9*2n+9*5=18n+45

Answer:

the fee for the skates is 4$ ea

Step-by-step explanation:

Answer:a=-2

b=5

Step-by-step explanation:

\(\frac{a}{b} =\frac{\frac{-1}{4} }{\frac{5}{8} } \\\frac{a}{b} =\frac{-1}{4}*\frac{8}{5}\\\frac{a}{b}=-2/5\)