Indira was measuring the length of her school's hallway. The first part of the hallway
was 132 inches long. The next part was 3 yards long. How long is the hallway in
feet?

We know that,

each digit in a number has a place value. The place a number occupies in a number tells us its importance. The product of a number and the digit value it occupies gives the digit value.

What are some example location values?

Product Importance Image Results

A digit value can be defined as a value represented by a digit within a number given its position within the number. For example, the sevens digit value of 3,743 is 7000 or 700. However, the 7th digit value of 7,432 is 7,000 or 7,000.

tens

According to the question,

We find the value of tens

1. 4 tens ×8 =320

2.5×6 tens=30 tens =300

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On solving the provided question, we can say that - the range \(|x + 1| = 0\) \(x + 1 = 0 = > x = -1\) and \(y = 3\)

Finding the variable's greatest observed value (maximum) and deducting the least observed value will yield the range (minimum). Limits of variation or potential range: a variety of steel costs; several styles; The size or scope of an action or operation: insight. how far a weapon's projectile can or will travel. The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.

The regions where the absolute values are zero are known as the vertex points of an absolute value function.

\(|x + 1| = 0\\x + 1 = 0\\x = -1\)

\(y = |-1 + 1| + 3\\y= 0 + 3\\y = 3\)

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The topological group G is a group that is also a topological space satisfying the T1 Axiom that is, there is a topology on the elements of G and all sets of a finite number .

Given :

A topological group G is a group that is also a topological space satisfying the T1 axiom, such that the map of G * G into G sending x * y into x⋅y, and the map of G into G sending x into x^−1, are continuous maps.

When we say the map of G * G into G defined as (x, y) 7 → x·y is continuous, we use the product topology on G * G. Since inversion maps G to G, the topology on G is used both in the domain and co - domain.

Every group G is a topological group. We just equip G with the discrete

topology. Continuity of the binary operation follows at (x, y) ∈ G * G by taking the open set O = { x · y } (the “δ set” ) for any given open set in G * G containing (x, y) (the “ε set”).

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If you are an apprentice plumber earning an annual salary of $21,060, and you lay claim to 3 allowances, the amount that will be withheld from your weekly pay for federal income tax is: $7.

To obtain the correct amount to be paid, we need to use the table provided by the IRS. First note that there are 52 weeks in a year, so we need to divide your annual earnings by the total number of weeks in a year.

So, 21060/52 = $405

When we look at the table to see the chart for a person who has a weekly wage of 400 - 410, and lays claim to three allowances, we will see that the right amount that such an individual is meant to pay is $7.

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Answer:

130 degree

Step-by-step explanation:

Interior angles of the triangle:

81, 49, (180-x)

and by sum of all angles of triangle is 180 degree,

therefore,

81 + 49 + 180 - x = 180

x = 130 degree

Given the Right Triangle ABC, you know that:

In order to find the measure of the angle "x", you need to use the following Inverse Trigonometry Function:

In this case, you can identify that:

Therefore, when you substitute values and evaluate, you get:

Hence, the answer is:

Answer:

129.6$

Step-by-step explanation:

25+95=120

8% of 120 = 9.6

120+9.6= 129.6

Answer:

129.60

total w/o tax- 120

tax- 9.60.

The rate of the slower cyclist is:

R₁ = 14mi/h

The rate of the other one is:

R₂ = 19mi/h

We know that they start in the same location, then they travel in opposite directions each one with rates R₁ and R₂, the total distance betweem them after a time t is:

distance = (R₁ + R₂)*t

We know that one travels 5 mi/hour slower than the other, then we can write:

R₁ = R₂ + 5mi/h

And after t = 2 hours, the distance is 86 miles, then:

86mi = (R₂ + 5mi/h + R₂)*2h

Solving for R₂

86mi/2h = (2R₂ + 5mi/h)

43mi/h - 5mi/h = 2R₂

38mi/h = 2R₂

38mi/h/2 = R₂

19mi/h = R₂

Then R₁ is:

R₁ = 19mi/h - 5mi/h = 14mi/h

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Answer:

x = 40

Step-by-step explanation:

x+1= 3x-79

Subtract x from each side

x-x+1= 3x-x-79

1 = 2x -79

Add 79 to each side

1+79 = 2x-79+79

80 = 2x

Divide by 2

80/2 = 2x/2

40 =x

Answer:

X= 40

Step-by-step explanation:

x+1 = 3x -79 reorganize. I combined 3 steps to get this:

3x -x = 1 + 79

2x = 80

X = 40

Not sure why that is not a choice!

Answer:

multipicton of -x on both sides

Step-by-step explanation:

Answer:

FH = 35.64

Step-by-step explanation:

(∠A = 360 so the other angle is 40)

By law of cosines,

FH² = AH² + FA² - 2(AH)(FA) * cos(A)

= 30² + 25² - 2(30)(25) * cos(80)

= 900 + 625 - 1500 * 0.17

= 1525 - 255

FH²  = 1270

FH = √1270

FH = 35.64

The value of x, y and z in the line is as follows:

x = 55°

y = 125°

z = 55°

When lines intersect, angle relationships are formed such as vertically opposite angles, adjacent angles etc.

Therefore, let's use the angle relationship to find the angles x, y and z in the line.

Hence,

y = 125 degrees(vertically opposite angles)

Therefore,

x = 180 - 125(angles on a straight line)

x = 55 degrees

Therefore,

x = z(vertically opposite angles)

Vertically opposite angles are congruent.

Hence,

z = 55 degrees.

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Answer:

Y= 250x+45

Step-by-step explanation:

answer = 250 per hour (X) + 45

Answer:

2/4, 3/6, 4/8, 6/12, 7/14, 8/16, 9/18, 10/20, 11/22, 12/24

Step-by-step explanation:

Multiply the numerator and denominator by the same factor. And use 10 different factors.

Ex. \(\frac{1}{2} *\frac{2}{2}=\frac{2}{4}\)

Answer:

q = -1/8

Step-by-step explanation:

You're trying to solve for q
32q+4=0

Subtract 4 both sides
32q=-4

Now Divide -4 by 32 (This means you have to simplify)
-4/32 = -1/8 due to the common factor of 4.

q = -1/8

Answer:

4(8q+1)

Step-by-step explanation:

32q+4

4*8q+4*1

4(8q+1)

(∀x)P(x) can be written as p ∧ q, (Ǝx)P(x) can be written as ¬p ∨ ¬q, and the universal and existential negation rules of predicate logic correspond to the DeMorgan's law of propositional logic, which states that ¬(p ∨ q) = ¬p ∧ ¬q.

a) The statement (∀x)P(x) states that P(x) is true for all x in the domain, which consists of just 0 and 1. So, if P(0) is true, represented by p, and P(1) is true, represented by q, then (∀x)P(x) is true. Therefore, (∀x)P(x) can be written as p ∧ q.

b) The statement (Ǝx)P(x) states that P(x) is true for at least one x in the domain, which consists of just 0 and 1. So, if either P(0) is true, represented by p, or P(1) is true, represented by q, then (Ǝx)P(x) is true. Therefore, (Ǝx)P(x) can be written as p ∨ q.

c) The negation of (∀x)P(x), represented as ¬(∀x)P(x), is equivalent to the negation of (∀x)P(x) in predicate logic, represented as (Ǝx)¬P(x). This corresponds to DeMorgan's law of propositional logic, which states that ¬(p ∧ q) = ¬p ∨ ¬q.

Similarly, the negation of (Ǝx)P(x), represented as ¬(Ǝx)P(x), is equivalent to the negation of (Ǝx)P(x) in predicate logic, represented as (∀x)¬P(x). This corresponds to DeMorgan's law of propositional logic, which states that ¬(p ∨ q) = ¬p ∧ ¬q.

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Part A: After 15 days will have 32,768 magical beans.

Part B: As the value of the magical beans is less than the value of the car the trade does not make sense at least not from a financial perspective. B NO.

Part C: We would need at least 17 days for the number of magical beans to exceed the value of the car. C MAYBE?.

Based on the given information can observe that the number of beans doubles every day.

So, after 15 days will have 2¹⁵ = 32,768 magical beans.

The value of the 32,768 magical beans would be:

32,768 beans × $0.50/bean

= $16,384

Part C:

Let us assume that after 'n' days, the number of beans would be equal to or greater than the value of the car.

Value of the car in terms of magical beans = $65,000/$0.5 per bean

= 130,000 beans

Now, we can set up an equation based on the doubling of beans:

2ⁿ >= 130,000

Taking the logarithm base 2 on both sides, we get:

n × log2(2) >= log2(130,000)

n >= log2(130,000)

n >= 16.98

We would need at least 17 days for the number of magical beans to exceed the value of the car.

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Answer: 19.2 miles is 30.72 km

Step-by-step explanation:

Since 5 miles is 8 km, divide 8/5 to find out how many miles is one kilometer.

8/5 = 1.6

Multiply 19.2*1.6 to find out how many kilometers 19.2 miles is.

19.2*1.6 = 30.72

(Note that when you search it up online, 19.2 miles is actually 30.9 km, because 5 miles isn't exactly 8km!)

Your ability to borrow money at lower rates improves as your credit score increases. Option D.

Your ability to borrow money at lower rates improves as your credit score increases.

A higher credit score indicates to lenders that you have a strong credit history, responsible financial behavior, and a lower risk of defaulting on loans.

Lenders view borrowers with higher credit scores as more reliable and trustworthy, making them more likely to offer lower interest rates and better loan terms.

While saving more and earning more can indirectly contribute to improving your credit score by positively impacting your financial stability and ability to manage debt, they are not direct factors that lenders consider when determining interest rates.

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Answer:

$8

Step-by-step explanation:

I always take 10% first cause it's easy to do, 10% of $40 is $4, plus another 10% would make it $8

Answer:

  c = -41/16

Step-by-step explanation:

You want to solve the 2-step linear equation -7/3=2/3c-5/8.

The two steps for such an equation are ...

Step 1 - add the opposite of the constant on the side with the variable term.

  -7/3 +5/8 = 2/3c -5/8 +5/8

  -41/24 = 2/3c . . . . . . . . . . . . . simplify

Step 2 - multiply by the inverse of the coefficient of the variable.

  (-41/24)(3/2) = (2/3c)(3/2)

  -41/16 = c

Some folks like to solve equations like this by eliminating fractions as a first step. Here, that can be accomplished by multiplying the equation by 24 (the least common denominator).

  (-7/3)(24) = (2/3c)(24) -(5/8)(24) . . . multiply the equation by 24

  -56 = 16c -15 . . . . . . . simplify; fractions are gone

  -41 = 16c . . . . . . . . . step 1, add the opposite of the unwanted constant

  -41/16 = c . . . . . . . . step 2, divide by the coefficient of the variable

The expression is evaluated to give 58/ 4, fifty-eight fourths. Option C

From the information given, we have the deduction;

\(\frac{\sqrt{36}* 3^2 - \sqrt[3]{-64} }{2^2}\)

Simply the expression;

√36 = 6

3² = 9

∛-64 = -4

2² = 4

Substitute the values into the expression

⇒ 6 × 9 - (-4)/ 4

Use the BODMAS rule, multiply first

⇒ 54 + 4/ 4

Add the numerators

⇒ 58/ 4

Thus, the expression is evaluated to give 58/ 4, fifty-eight fourths. Option C

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Answer:

58 over 4

Step-by-step explanation:

Answer: 14/5

Step-by-step explanation: Use Algebra calculator on math papá.com

Answer:

\(m=\frac{14}{5}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (2, 5)

Point (-3, -9)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

27

Step-by-step explanation:

3(6)=18

18+9=27

Answer:

27

Step-by-step explanation:

You would use PEMDAS to solve this equation, P (parenthesis) E (exponates)  M (multiply) D (divide) A (add) S (subtract). The way you use this is by following the steps in the order that you would spell PEMDAS, so 3x+9 would be 3•6+9. So look at the equation 3•6+9, so what would we use first? do we have parenthesis? No, Do we have exponents? No, Do we have multiplication?  Yes, so multiply 3 and 6 = 18. Now the equation will look like this 18+9 = 27.

Hope this helps!

Answer: A

Approximately normal, because we expect 35 successes and 15 failures from vegetarian orders, and 32.5 and 17.5 from gluten-free orders, and all of these counts are at least 10

Step-by-step explanation: Khan Answer

For vegetarian orders 70% order again, so with a sample size of 50 we will have an estimated 35 people order again: \(.7*50=35,50-35=15\) This results in 35 successes and 15 failures. For gluten-free orders 65% order again, so with a sample size of 50 we will have an estimated 32.5 people order again:\(.65*50=32.5,50-32.5=17.5\) This results in 32.5 successes and 15 failures. Because these are all greater than 10, we can assume normality.

Answer:

Approximately normal, because we expect 35 successes and 15 failures from vegetarian orders, and 32.5 and 17.5 from gluten-free orders, and all of these counts are at least 10

Step-by-step explanation:

The distance between point T (-5, 1) and point I (-1, 1) is 4 units.

To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:

Distance = √((x2 - x1)² + (y2 - y1)²)

Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):

x1 = -5, y1 = 1 (coordinates of point T)

x2 = -1, y2 = 1 (coordinates of point I)

Plugging these values into the formula, we have:

Distance = √((-1 - (-5))² + (1 - 1)²)

        = √(4² + 0²)

        = √(16 + 0)

        = √16

        = 4

Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.

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Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

The value of line RS is 23

From the diagram shown, we have that line PS, line PQ, line QR and line RS form a square.

Note that the sides of a square are equal to each other.

The relationship is represented as;

Line PS = Line PQ = Line QR = Line RS

We have that;

Substitute the expressions

6x - 5 = 9x - 4

Now, collect like terms

6x - 9x = - 4 - 5

Subtract the like terms

-3x = -9

Make 'x' the subject of formula

-3x/-3 = -9/-3

x = 3

Then, RS = 9x - 4 = 9(3) - 4 = 27 - 2 = 23

Hence, the value is 23

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Answer:

Explain in your own words how to find the prime factorization of a composite number, ... 89. 14. 21. 90. 17 35. Answer: seventeen is less than thirty-five. 91. 36 19. 92. 6 ... x. 102. 5 25 y. Answer: equation. Simplify Expressions Using the Order of ... Why is it important to use the order of operations to simplify an expression?Find the amount you would have, if it s continuously compounded Using ... We subtract $17 Our balance is $13 - $17 = [B]-$4[/B] ... 28y+-+2%29%5E2+%3D+16&pl=Calculate']Use our circle equation calculator to get the general form ... to isolate x: 4x - 20 + 20 = 72y + 20 Cancel the 20 on the left side, we get: 4x = 72y + 20 ...so your answer4 will be 17-20=x

Step-by-step explanation:

Answer:

centre is (8, -5)

\(r = \sqrt{ {g}^{2} + {f}^{2} - c } \\ = \sqrt{64 + 25 - 80} \\ = \sqrt{9} \\ r = 3 \\ radius \: = \: 3 \: units\)