Find the value of x. Then find the measure of each labeled angle.
(x - 58)° =
(x-58)

The speed of the aircraft is 682 mph

Given that: A speed of 60 mph is equal to 88 ft/sec

If an aircraft travels at a speed of 1000 ft/sec, the speed to the nearest mile per hour can be calculated by using the unit  ratio of

of mph to ft/s, that is:

60/88 = m/1000

m = 6x1000/ 88 = 60000/88 = 682 mph

Therefore, the speed of the aircraft to the nearest mile per hour is 682 mph

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Answer:

Can't be written as fraction

Step-by-step explanation:

Irrational Numbers are Real Numbers which are not rational , which means that it can't be written as fraction

Answer:

No value of a will work.

Step-by-step explanation:

let me explain,

given values of a are1,2,3

checking these values of a ,

(1)³=125

1=125 (not true)

(2)³=125

8=125 (not true)

(3)³=125

27=125 (not true)

the correct value of a which makes this equation true is 5. let me make you clear,

(5)³=125

125=125 (true).

With the help of substitution the answer to the equation is - (-9/2 , 5/2)

acc to our question -

Hence,The solution to the equation is (-9/2, 5/2) using substitution.

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The required expression is 3h(150) + h(270) which is the correct answer would be an option (D).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Since each house will have 3 smaller bedrooms that required 150 square feet of carpet

⇒ 3 × 150

Each house will have 1 larger bedroom that requires 270 square feet of carpet.

⇒ 270

So, (3 × 150 + 270) × h

⇒ 3h(150) + h(270)

Thus, The required expression is 3h(150) + h(270).

Hence, the correct answer would be an option (D).

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The question seems to be incomplete the completed part has been attached below

The solution to the given inequality 3 - x ≤ 19

or - x ≥ 24 is x ≥ -16 or x ≤ -24

An inequality is a statement that is of two quantities; one is specifically less than or greater than another. Inequality symbols are:

3 - x ≤ 19

or

- x ≥ 24

3 - x ≤ 19

-x ≤ 19 - 3

- x ≤ 16

divide both sides by -1

x ≤ 16/-1

x ≥ -16

or

- x ≥ 24

x ≥ 24/-1

x ≤ -24

In conclusion, the solution to the inequality is given by x ≥ -16 or x ≤ -24

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Answer:

depends on how many sections there are

Step-by-step explanation:

if there were 2 then it would be one foot 4 sections equal 2 and so on. the ratio for this 2:1 meaning there has to be 2 sections for there to be one foot.

The solution to the equation given as 2x + 4y = 6x − y has the ordered pair of (3, 4)

From the question, we have the following equation that can be used in our computation:

2x+4y=6x−y

Solving further, we need to collect the like terms

So, the equation becomes

2x - 6x = -4y - y

Next, we evaluate the like terms in the above equation

So, we have the following representation

-4x = -3y

Divide both sides by -3

The equation becomes

x = 3/4y

At this point, we assume any value for y and then solve for x

Assume that the value of y is 4

So, we have the following representation

x = 3/4 * 4

Evaluate the products

x = 3

So, we have

x = 3 and y = 4

Express as ordered pairs

(x, y) = (3, 4)

Hence, the ordered pair of the solution is (3, 4)

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The number of children in the school who speak a language other than English at home is 144.

The fraction of children who speak Polish is 1/6.

Percentage is the ratio of a quantity expressed as a number out of 100. Percentage is a measure of frequency. The sign that is used to represent percentage is %.

Number of children in the school who speak a language other than English at home = Percentage of the students who speak a language other than English x number of children

Number of children in the school who speak a language other than English at home = 45% x 320

Number of children in the school who speak a language other than English at home = 0.45 x 320 = 144

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.

Fraction of the students who speak Polish = number of students that speak Polish / total number of students who speak a language other than English.

Fraction of the students who speak Polish = 24 / 144 = 1/6.

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The polynomial in standard form is equal to 2 · x³ + 12 · x² - 64.

Cubic equations have three roots. In this problem we need to derive a cubic equations whose three real roots (r₁, r₂, r₃) and leading coefficient (a) are given. The procedure consists in substituting on factor form of a cubic polynomial and expanding the resulting expression until standard form is obtained.

First, substitute on the factor form of the cubic equation:

y = 2 · (x - 2) · (x + 4)²

Second, expand the polynomial until its standard form is found:

y = 2 · (x - 2) · (x² + 8 · x + 16)

y = 2 · (x³ + 8 · x² + 16 · x - 2 · x² - 16 · x - 32)

y = 2 · (x³ + 6 · x² - 32)

y = 2 · x³ + 12 · x² - 64

The polynomial is equivalent to 2 · x³ + 12 · x² - 64.

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The expression (2/3)² when simplified by repeated multiplication is 4/9

From the question. the expression is given as

(2/3)²

We start by rewriting the expression using repeated multiplication

This in other words means that:

We rewrite the (2/3)² as repeated multiplication

To do this, we apply the exponent rule of indices

This rule states that:

a^m = a * a * a .... in m places

So, we have

(2/3)² = (2/3) x (2/3)

Evaluate the products

(2/3)² = 4/9

Hence, the equivalent expression is 4/9

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The two numbers that are compatible are 0.25 and 8. The property which helps to calculate it is commutative property.

What is the commutative property?

This law merely asserts that while adding and multiplying integers, you can rearrange the numbers in a problem without changing the solution.

Given numerical expression is (0.25 x 12.3) x 8.

First remove the parenthesis from the numerical expression:

(0.25 x 12.3) x 8 = 0.25 x 12.3 x 8

Now apply commutative property:

(0.25 x 12.3) x 8 = (0.25 x 8) x 12.3

(0.25 x 12.3) x 8 = 2.00 x 12.3

(0.25 x 12.3) x 8 = 24.6

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Answer:

x³ - 8

Step-by-step explanation:

The probability that George will win is 1/10 and the probability that Julia will win is 1/20.

So, calculate the probability as follows:

We know,

(A) George's probability of winning:

(B) Julia's probability of winning:

Therefore, the probability that George will win is 1/10 and the probability that Julia will win is 1/20.

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Answer:

2

Step-by-step explanation:

This is because yes. If you add 1 and 1 (use your fingers) and count the two, you simply get 2.

Answer:

b=3x+y

Step-by-step explanation:

y=-3x+b

get b by itself on one side

y+3x=b

The rearranged equation, [tex]b = Y + 3x[/tex], allows us to determine the value of b based on the given values of Y and x.

Rearranging an equation involves manipulating the terms and variables in order to isolate a specific variable or simplify the equation. The goal is to rewrite the equation in a different form while maintaining equality.

In the context of solving the equation [tex]Y = -3x + b[/tex] for b, rearranging the equation means moving the terms around so that b is isolated on one side of the equation. This is done by performing inverse operations on the equation.

Starting with [tex]Y = -3x + b[/tex], we want to isolate b. To do this, we need to move the [tex]-3x[/tex] term to the other side of the equation.

By subtracting [tex]-3x[/tex] from both sides, we can eliminate the -3x term on the right-hand side. The equation becomes [tex]Y - (-3x) = b[/tex].

Simplifying further, [tex]Y + 3x = b[/tex]. Now, b is isolated on one side of the equation.

Therefore, the rearranged equation, [tex]b = Y + 3x[/tex], allows us to determine the value of b based on the given values of Y and x.

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Answer:

Step-by-step explanation:

1

y-6 = -2/5(x-(-5)
y - 6 = -2/5(x+5)

y -6 = -2/5 x -2

y = -2/5 x -2 + 6

y = -2/5 x + 4

2

y-6 = 5/2 (x-(-5)

y-6 = 5/2 (x+5)

y - 6 = 5/2 x + 25/2

y = 5/2 x + 25/2 + 6

y = 5/2 x  + (25+12)/2

y = 5/2 x + 37/2

Answer:

A,C,D

Step-by-step explanation:

The missing values of the ordered pairs using the given equation are:

x = -1; y = 8

The computed table is:

x  | y  

-3   8

-1,   2

To complete a table of values, we can plug in the known value of each of the ordered pairs that are represented in a table into the given equation that models the relationship, then find the value of the missing variable.

The equation that represents the relationship between x and y is given as y = -3x - 1.

Find the value y in the ordered pair (-3, y) by substituting x = -3 into y = -3x - 1:

y = -3(-3) - 1 = 8

y = 8

Find the value x in the ordered pair (x, 2) by substituting y = 2 into y = -3x - 1:

2 = -3x - 1

Add 1 to both sides

3 = -3x

Divide both sides by -3

x = 3/-3

x = -1

The ordered pairs with the missing values are: (-3, 8) and (-1, 2).

The table would be computed as:

x  | y  

-3   8

-1,   2

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Answer: 25.949%

Step-by-step explanation:

⇒[tex]3x^{2} -13x-10\\=3x^{2} -15x+2x-10\\=(3x^{2} -15x)+(2x-10)\\=3x(x-5)+2(x-5)\\=(x-5)(3x+2)[/tex]

⇒The answer is  (x-5)(3x+2)

Answer:

Multiply and divide by √2 . You'll get √22

Step-by-step explanation:

The passage of journal entries to record the transactions, using the perpetual system of inventory with the First-in, First-out (FIFO) method, is as follows:

Account Titles                                 Debit        Credit

Inventory                                     $300,000

Accounts Payable (Indiana International) $300,000

Accounts Receivable

(Ceridian Corporation)            $100,000

Sales Revenue                                           $100,000

Cost of goods sold                   $60,000

Inventory                                                    $60,000

Cash                                       $275,000

Sales Revenue                                        $275,000

Cost of goods sold               $150,000

Inventory                                                 $150,000

Accounts Payable

(Indiana International)       $300,000

Cash                                                       $300,000

Inventory                            $360,000

Cash                                                      $360,000

Cash                                     $60,000

Sales Revenue                                     $60,000

Cost of goods sold            $30,000

Inventory                                              $30,000

Inventory $300,000 Accounts Payable (Indiana International) $300,000

Accounts Receivable (Ceridian Corporation) $100,000 Sales Revenue $100,000

Cost of goods sold $60,000 Inventory $60,000

Cash $275,000 Sales Revenue $275,000

Cost of goods sold $150,000 Inventory $150,000

Accounts Payable (Indiana International) $300,000 Cash $300,000

Inventory $360,000 Cash $360,000

Cash $60,000 Sales Revenue $60,000

Cost of goods sold $30,000 Inventory $30,000

Thus, with the perpetual system using FIFO, inventory movements are recorded in the Inventory account as they occur and not at the period's end.

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The partial fraction form of the given fraction [x+5/(x-7)(x-5)] is

[A/(x-7)+B/(x-5)].

So, the fraction is:

We know that:

Use the same identity to get the partial fraction of the given fraction as follows:

Therefore, the partial fraction form of the given fraction [x+5/(x-7)(x-5)] is [A/(x-7) + B/(x-5)].

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The value of f(2) is 2.

What is graph function?

The collection of all points in the plane with the form (x, f(x)) that make up a function f's graph. We may alternatively say that the graph of f is the graph of y = f. (x). As a result, the graph of an equation is a particular instance of the graph of a function.

All y-coordinates of the graph function are an output of the graph function.

All x-coordinates of the graph function are an input of the graph function.

f(2) is an output of the function.

Here find the y-coordinates of the point on the graph when the value of x is 2.

(2,3) is a point on the graph.

Thus f(2) = 3

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[tex]{ \pink{ \boxed{ \red{ \sf{f(4) = - 7}}}}}[/tex]

Step-by-step explanation:

[tex]{ \green{ \sf{f(x) = { - x}^{3} + 3 {x}^{2} + 9}}}[/tex]

[tex]{ \green{ \sf{f(4) = ( { - 4})^{3} + 3( {4})^{2} + 9}}}[/tex]

[tex]{ \green{ \sf{f(4) = - 64 + 3(16) + 9}}}[/tex]

[tex]{ \green{ \sf{ f(4) = - 64 + 48 + 9}}}[/tex]

[tex]{ \green{ \sf{f(4) = - 64 + 57}}}[/tex]

[tex]{ \blue{ \boxed{ \orange{ \sf{f(4) = - 7}}}}}[/tex]