name the property illustrated by each statement of if t-13=52, then 52=t-13

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer:

i think it's 40 I don't know.

Step-by-step explanation:

(:

Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).

To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.

With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.

Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.

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Answer:

The square root is 1.90

Step-by-step explanation:

Given

\(x = \sqrt{3.6}\)

Required

Find x

Express 3.6 as 36/10

So, we have:

\(x = \frac{\sqrt{36}}{\sqrt{10}}\)

This gives

\(x = \frac{6}{\sqrt{10}}\)

Rationalize

\(x = \frac{6}{\sqrt{10}}*\frac{\sqrt{10}}{\sqrt{10}}\)

\(x = \frac{6\sqrt{10}}{10}\)

Using a calculator

\(\sqrt{10} \approx 3.16\)

So, we have:

\(x = \frac{6*3.16}{10}\)

\(x = \frac{18.96}{10}\)

\(x = 1.896\)

Approximate

\(x = 1.90\)

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

coefficient..........

Answer:

A)

Function A: Exponential

Function B: Linear

Function C: Exponential

Function D: Exponential

B) Function A

Step-by-step explanation:

Function A: This is exponential because- (1, 3)(2,9)(3,27)

It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.

Function B: This is linear because- (1, 64)(1, 80)(1, 96)

It is going up by 16 each time, (a constant number) which means it is linear.

Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.

Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.

The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.

Reason: The angles BGD and BGA share the same segment BG.

Think of two neighboring apartments. They share a common wall. In this case, apartment BGD and BGA share the common wall BG.

Other answers are possible.

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer:

C

Step-by-step explanation:

Positive numbers represent a positive situation. And negative numbers coincide with a negative situation.

 Ex: An increase in temperature corresponds to a positive number, and a decrease in temperature with a negative number.

Answer:

The correct answer is x = 12.

Step-by-step explanation:

To solve this problem, we must remember that an angle bisector divides the angle into two smaller, equal angles.  This means that we can set the values for each of these smaller angles equal to one another, given that the angle is bisected.  This is modeled below:

9x - 54 = 4x + 6

Now, we can solve this equation like any other.  The first step is to subtract 4x from both sides.

9x - 4x - 54 = 4x - 4x + 6

5x - 54 = 6

Then, we should add 54 to both sides.

5x - 54 + 54 = 6 + 54

5x = 60

Finally, we can divide both sides by 5.

5x/5 = 60/5

x = 12

Therefore, the correct answer is x = 12.

Hope this helps!

Answer:

The value of x is 12°.

Step-by-step explanation:

Given that AC is the angle bisector of ∠BAD which means that AC cuts exactly the center of ∠BAD so ∠BAC and ∠CAD must be the same.

In order to find the value of x, you have to make ∠BAC = ∠CAD

\(∠BAC = ∠CAD\)

\(9x - 54 = 4x + 6\)

\(9x - 4x = 6 + 54\)

\(5x = 60\)

\(x = 60 \div 5\)

\(x = 12\)

The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.

Step 1: Calculate the z-scores for the given values using the formula:

  z = (x - μ) / σ

  For 189.7:

  z1 = (189.7 - 189.7) / 96.7 = 0

  For 213:

  z2 = (213 - 189.7) / 96.7 ≈ 0.2417

Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.

  P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939

Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.

To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance

Step 1: Calculate the standard error of the mean (σ_m) using the formula:

  σ_m = σ / sqrt(n)

  σ_m = 96.7 / sqrt(62) ≈ 12.2878

Step 2: Convert the given qualities to z-scores utilizing the equation:

  z = (x - μ) / σ_m

  For 189.7:

  z1 = (189.7 - 189.7) / 12.2878 = 0

  For 213:

  z2 = (213 - 189.7) / 12.2878 ≈ 1.8967

Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.

  P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702

Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

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Answer:

B is the answer.

Step-by-step explanation:

Im just smart.

Answer:

Blue Star

a.                                   The Ford TriVan   The Honda CityVan

Total life-cycle costs          $94,368                $90,936

Based on life cycle cost, the Honda CityVan is the best choice.

b. Blue Star needs to put on the Ford TriVan 9,032 miles more for the cost to be equal with the Honda CityVan's.

c. The crossover point in years = 5 months

Step-by-step explanation:

a) Data and Calculations:

                                        The Ford TriVan   The Honda CityVan

Purchase costs                  $28,000                 $32,000

Fuel efficiency per gallon   24 miles                 37 miles

Operating cost per mile     $0.20                     $0.22

Total operating costs         $4,400                   $4,840

Estimated annual distance 22,000 miles        22,000 miles

Gallons of fuel consumed  916.7 (22,000/24) 594.6 (22,000/37)

Total cost of fuel                 $3,896                  $2,527

Fuel cost per mile              $0.18                      $0.115

Total cost per mile             $0.38                     $0.335

Expected life of truck         8 years                   8 years

Average gas price = $4.25 per gallon

Total costs:

                                        The Ford TriVan   The Honda CityVan

Annual costs:

Total operating costs         $4,400                   $4,840

Total cost of fuel                $3,896                   $2,527

Annual costs                      $8,296                   $7,367

Life cycle costs:

Annual costs for 8 years   $66,368                $58,936

Purchase costs                  $28,000                $32,000

Total life-cycle costs          $94,368                $90,936

Difference in costs between Ford TriVan and Honda CityVan = $3,432 ($94,368 - $90,936)

Miles to put on the Ford TriVan for the life cycle cost to be equal to the life cycle cost of the Honda CityVan

= Difference in costs divided by total cost per mile of the Ford TriVan

= 9,032 miles ($3,432/$0.38)

Annual distance = 22,000 miles

Monthly distance = 1,833 miles

9,032/1,833 = 4.93 months or 5 months approximately

The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

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The net price of the saws that Black & Decker Manufacturing sold to True Value Hardware on a chain discount of 8/3/1 is $3,357.21.

A chain discount refers to a type of discount offered to customers, which is sequentially applied to the list price to arrive at the net price.

Chain discounts involve a series of trade discounts applied in sequence.

List price = $3,800

Chain discount = 8/3/1

First net price = $3,496 ($3,800 x 1 - 8%)

Second net price = $3,391.12 ($3,496 x 1 - 3%)

Third net price = $3,357.21 ($3,391.12 x 1 - 1%)

Thus, the net price based on a chain discount of 8/3/1 is $3,357.21.

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Answer:

El capital que prestado al 10% bimestral durante 6 meses y 10 días produce un interés de $1140 es $3,600.

Step-by-step explanation:

Para determinar cuál es el capital que prestado al 10% bimestral durante 6 meses y 10 días produce un interés de $1140 se debe realizar el siguiente cálculo:

6 / 2 = 3

10/60 = 0.16666

10 x 3.1666 = 31.666

31.666 = 1140

100 = x

100 x 1140 / 31.666 = X

114,000 / 31.666 = X

3,600 = X

Por lo tanto, el capital que prestado al 10% bimestral durante 6 meses y 10 días produce un interés de $1140 es $3,600.

Answer:

\([-5,5]\)

Step-by-step explanation:

The range is the y-axis, and the endpoints are filled in, so we put brackets.

Side note:

This is called Interval Notation. This is very important when you ask for the domain and range of functions (domain is for the x-axis). You will see this system A LOT, so you have to get used to the name and the language Interval notation uses.

Answer:

F(-5)=25

Step-by-step explanation:

Hi there!

We are given the function:

F(x)=-x²-10x

And we want to find F(-5)

If we want to find f(number), then we will be substituting that number as x into the other side of the function.

In other words, if the function is F(-3), then we would substitute -3 as x in the function, giving us -(-3)²-10(-3)

So for this, we'll substitute -5 as x in the function.

Therefore:

F(-5)=-(-5)²-10(-5)

Going with the order of operations, raise (-5) to the second power

F(-5)=-(25)-10(-5)

Now multiply 25 by -1 (the minus in front of the 25 means -1 * 25)

F(-5)=-25-10(-5)

Multiply -10 by -5

F(-5)=-25 + 50

Add the numbers together

F(-5)=25

Hope this helps!

Step-by-step explanation:

Multiply (4/10) by 10 to find the sum using common denominators:

\( \frac{4 \times 10}{10 \times 10} = \frac{40}{100} \)

Add:

\( \frac{40}{100} + \frac{20}{100} = \frac{60}{100} \)

60/100 is your unsimplified answer.

Divide (60/100) by 20:

\( \frac{60 \div 20}{100 \div 20} = \frac{3}{5} \)

3/5 is your simplified answer.

The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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the height of a binary tree is the number of edges in the longest path from the root to a leaf.The best-case height of a binary tree with seven nodes is 3.

A binary tree is a type of tree structure consisting of nodes that are connected by edges. The number of edges in the longest path from a binary tree's root to a leaf determines the tree's height.In the best-case scenario, the binary tree is perfectly balanced and each node has exactly two children. With seven nodes, the best-case height is three because each node has two children and three edges connect the root node to the leaves. This means that the longest path from the root to a leaf is three edges, resulting in a height of three.

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In given proportion , value of a = -8

A proportion can be defined as an equation in which two ratios are set to be equal to each other. For example, if there is 1 man and 3 women you could write the ratio as: 1 : 3 (for every one man there are 5 women).

And the other way to predict is :

Generally, the proportion is written as x:y ,

where x and y are two different values of the ratio.

In the given question,

proportion is a/56 = -1/7

solving equation we get a = -1/ 7 . 56

=> a= -8

hence, In the given proportion , value of a = -8

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Step-by-step explanation:

2x-15=x5

2x-x=15+5

x=20

Answer:

x = 20

Step-by-step explanation:

Because of the angle bisector, we know that the m∠ACE and the m∠ECB are equivalent. Therfore, we can set the equations as equal to eachother and solve for x.

A triangle has three sides, three angles, and three vertices (also known as corners).

A triangle is a geometric shape that consists of three line segments that connect three non-collinear points.

Each of these line segments is called a side of the triangle. The three points where these sides meet are called the vertices (singular: vertex) of the triangle.

The triangle also has three interior angles formed by its sides. These angles are located inside the triangle, and their sum is always equal to 180 degrees.

In summary, a triangle is defined by its three sides, three angles, and three vertices.

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Answer: A

Step-by-step explanation:

\(\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)}=\frac{\sqrt[3]{4x}}{2x+3}\)

The denominator cannot equal 0, so \(x \neq -\frac{3}{2}\).

Answer:

Yes.

The first has an area of 9, so each side is three.

The second has an area of 16, so each side is four.

Each side of the third square is given as 5.

So the triangle has sides of 3, 4, and 5.

3²+4²=5²

9+16=25

25=25 It works given the Pythagorean theorem.

Step-by-step explanation:

Yes.

The first has an area of 9, so each side is three.

The second has an area of 16, so each side is four.

Each side of the third square is given as 5.

So the triangle has sides of 3, 4, and 5.

3²+4²=5²

9+16=25

25=25 It works given the Pythagorean theorem.

The rate of change is consistent at 36.1 miles per gallon for all three pairs of data points.

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

To find the rate of change, we can take the difference in the number of miles divided by the difference in the number of gallons for each pair of consecutive data points in the table.

For the first pair of data points, the rate of change is: (1444 - 722) / (40 - 20) = 722 / 20 = 36.1 miles per gallon

For the second pair of data points, the rate of change is: (2166 - 1444) / (60 - 40) = 722 / 20 = 36.1 miles per gallon

For the third pair of data points, the rate of change is: (2888 - 2166) / (80 - 60) = 722 / 20 = 36.1 miles per gallon

For all three pairs of data points, the rate of change is consistent at 36.1 miles per gallon.

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Answer:

47

Step-by-step explanation:

Simplify the following:

-26 + 6 - -67

Hint: | Multiply -1 and -67 together.

-(-67) = 67:

-26 + 6 + 67

Hint: | Evaluate 6 + 67 using long addition.

| 1 |  

| 6 | 7

+ | | 6

| 7 | 3:

73 - 26

Hint: | Subtract 26 from 73.

| 6 | 13

| 7 | 3

- | 2 | 6

| 4 | 7:

Answer: 47