Can someone help show me the steps to solve these subtraction problems using base five notation

Step-by-step explanation:

squared numbers.

1 = 1² = 1×1

4 = 2² = 2×2

9 = 3² = 3×3

16 = 4² = 4×4

25 = 5² = 5×5

36 = 6² = 6×6

Step-by-step explanation:

All you have to do is distribute the 2 and -2 to the inside of the parentheses. When you multiply it out, then combine all of your like terms, but remember to include the negative sign in the second set of parentheses.

2(7x+5)-2(4x+3)

(2*7x)+(2*5)-(2*4x)-(2*3)

14x+10-8x-6

This is the correct answer, but if you want to simplify it further, the answer would be 6x+4.

Option:-

[tex] \underline{ {\boxed{ \rm{ \red{\bold{C ) 14x + 10 - 8x - 6}}}}}}[/tex]

Ans:-

[tex] \: [/tex]

[tex] \: [/tex]

hope it helps! :)

Answer:

$100

Step-by-step explanation:

Answer:

To calculate the average speed for the second lap, we need to know the overall average speed for the two laps. If the average speed for the first lap is s, then the overall average speed for the two laps is (s + x)/2, where x is the average speed for the second lap.

We are told that the overall average speed for the two laps is three times the average speed for the first lap, so we can set up the following equation:

(s + x)/2 = 3s

To solve for x, we can multiply both sides of the equation by 2:

s + x = 6s

Subtracting s from both sides:

x = 5s

So, to make the overall average speed for the two laps three times the average speed for the first lap, the average speed for the second lap should be 5 times the average speed for the first lap.

Saving Account : Option B and Option C

Investment account : Option A and Option D.

Savings Account:

Investment Account:

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The correct question is:

The table given in a similar question sourced on the site is presented as follows;

Saving Account   ||  investment account

The options are;

A. If no deposit or withdrawals are made, money held in this account may increase or decrease

B. There is no risk of losing any money put in this account

C. Interest income is the only way to earn money in this type of account

D.This account may generate income from a variety of sources

Define random error: B) Random error is an error that tends to be either too high or too low.

Random error, is an error caused by factors that cannot be predicted, you could even say that these factors seem temporary.

So, it is very difficult to predict, because it is still random. One might even say, this random error occurred, while the test was being conducted. Even worse, random errors do not have to occur in the first test, it could be in the second or third test and so on.

Random error is a very small and dissimilar effect in each test implementation, for example the effect of fluctuations in the voltage, temperature or humidity conditions of the accommodation and test environment.

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Answer:

below

Step-by-step explanation:

'x' cannot be zero because you would then have an illegal fraction with a zero denominator

the only interval listed that does not include zero  is  ( 1, +inf)

Answer:

D.

Step-by-step explanation:

f(x) = |x|

|x| = x for x > or = 0

|x| = -x for x < 0

At x = 0

Left limit = Right limit = Function value = 0

|x| = is continuous at x = 0.

Left derivative (at x = 0) = -1

Right derivative (at x = 0) = 1

Answer:

A(t) = 0.92e^(-0.0115t)

The amount of Iodine-125 that would remain in the tumor after 8.5 days is 0.58 grams.

Step-by-step explanation:

A(t) = 0.92e^(-0.0115t)

To find the amount of Iodine-125 that would remain in the tumor after 8.5 days, we can plug in 8.5 for t in the exponential decay model:

A(8.5) = 0.92e^(-0.0115 * 8.5) = 0.92e^(-0.097875) = 0.92 * 0.9079 = 0.832

So, the amount of Iodine-125 that would remain in the tumor after 8.5 days is approximately 0.832 grams.

A conversion of the expression (x - 3)² + 1 to the standard form of a quadratic function is x² - 6x + 10.

In Mathematics, a quadratic function can be defined as a mathematical expression which defines and represent the relationship that exists between two (2) or more variable on a graph, with a maximum exponent of two.

In Mathematics, the standard form of a quadratic function is given by ax² + bx + c = 0.

By applying the following binomial expression to the given quadratic function, we have:

(a - b)² = a² - 2ab + b²

(x - 3)² = x² - 2(x)(3) + 9

x² - 2(x)(3) + 9 = x² - 6x + 9

Therefore, the given expression can be rewritten as follows;

(x - 3)² + 1 = x² - 6x + 9 + 1

(x - 3)² + 1 = x² - 6x + 10.

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The triangle was created, using a diagonal as a hypotenuse, where the length of the horizontal and vertical lines is similar.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
Step to create the triangle,
1. Draw a horizontal line parallel to the x-axis from the endpoints of the diagonal.
2. Draw a vertical line parallel to the y-axis from the endpoints of the diagonal.

3. The intersection point of these horizontal and vertical lines is the vertex of the triangle formed and the diagonal line is the common hypotenuse between the triangle.

4. When measuring the horizontal and vertical lines we will see they are equal for both the triangle formed.

Thus, the triangle was created, using a diagonal as a hypotenuse, where the length of the horizontal and vertical lines is similar.

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Answer:

rectangle A

length = 9cm

width = 6cm

rectangle B

length = 9cm

width = 3cm

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

correct answer is C:

[tex]y=5-\sqrt{x} ;[/tex]

where -sqrt(x) means one half of quadratic parabola, +5 means moving up the curve.

Answer:

10.7 hrs

Step-by-step explanation:

For each of the three legs    time = distance / rate

so

2.4 / 2.2   +    112 / 20.8   +   26.2 /6.2   = 10.7 hrs

The rule that best describes the dilation of triangle ABC to create triangle A'B'C' is given as follows:

a. (x,y) -> (2x, 2y).

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

Considering a scale factor of k, the rule is given as follows:

(x,y) -> (kx, ky).

The scale factor for this problem is given as follows:

k = 2.

(as the larger triangle is formed as a dilation of the smaller triangle).

Hence the rule is given as follows:

(x,y) -> (2x, 2y).

Meaning that the correct option is given by option A.

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Answer:

none of the above

Step-by-step explanation:

The radius of the circle having an equation x²+ y²-10x+6y-47 = 0 is 9 units.

The radius is defined as a line segment joining the center of the circle or a sphere to its circumference or boundary.

Given the general form of the equation of circle described as

x²+ y²-10x+6y-47 = 0, we need to find it radius,

The given equation is;

x²+ y²-10x+6y-47 = 0

Complete the squares so add 25 and 9 on both sides of the equation

x²+ y²-10x+6y-47+25+9 = 34

(x-5)² + (y+3)² -47 = 34

(x-5)² + (y+3)² = 81

(x-5)² + (y+3)² = 9²

Comparing with the standard form of the equation of a circle is (x - h)² + (y - k)² = r²,

r² = 9²

r = 9

Hence, the radius of the circle having an equation x²+ y²-10x+6y-47 = 0 is 9 units.

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The sum of the numbers 36, 35, 34, 33, and 32 is 36 + 35 + 34 + 33 + 32 = 160.

The sum of the numbers from 1 to 36 is (1 + 36) * 36 / 2 = 666.

The fraction (160 / 666) to the nearest tenth is 0.237, or 23.7%.

The cumulative interest using the Rule of 78 is (0.237 * $808.13) = $191.63.

The difference between the amount paid under a standard amortization plan and the amount paid under a Rule of 78 plan is ($198.28 - $191.63) = $6.65.

Cumulative interest is the total amount of interest that has been accumulated on a loan or an investment over a certain period of time. It is the sum of all the interest charges that have been added to the original loan amount, and it increases with each passing period as interest is charged on the increasing balance.

This means that the cumulative interest will be higher at the end of a loan period than at the beginning, as more interest will have been charged. The cumulative interest can be used to calculate the total cost of a loan, including the interest charged, as well as to compare different loan or investment options.

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Answer: D.

Step-by-step explanation: It is a figure with no height or length, and it has indefinite length. Two rays are needed to make an angle.

The value of length x is 9 units.

The value of length y is 6 units.

The value of length x and length y is calculated by applying congruency theory as shown below.

side of the triangle with length 12 ≡ x

side of the triangle with length 8  ≡ 6

x / 6 =  12 / 8

x = ( 6 ) x ( 12 / 8 )

x = 9

The length of side y is calculated as follows;

h / 3 =  4 / 6

h = 3 ( 4/6 )

h = 2

y = 4 + 2 = 6

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Answer: 69 bozo LLLLLLLLLLLLLLLLLLLLLLLLLLL

Step-by-step explanation:

69

An equation to find the total cost of y of x rides is y = 3x.

The cost to ride 10 rides is equal to $15.

In order to write an equation that model this situation, we would assign variables to the number of tickets and the total cost respectively, and then translate the word problem into algebraic equation as follows:

Next, we would translate the word problem into an algebraic equation based on the fact that each ride requires 3 tickets and a ticket costs $1.50 as follows;

y = 3x

For the cost of 10 rides, we have:

y = 10x

When x = 1.50, the total cost is given by:

y = 10(1.50)

y = $15.

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Answer:

The gift is 4.5 feet tall, since 408 square inches is equal to a rectangular prism with dimensions of 9 inches by 0.5 feet by 4.5 feet.

Step-by-step explanation:

(a) Given any real number r, there is a real number s such that s is greater than  r.

(b) For any real number r, there exists a real number s such that s > r.

(a) For some real number r, there exists another real number s such that s is greater than r.

Complete statement is, Given any real number r, there is a real number s such that s is greater than r.

(b) For real number r, there exists another real number s such that s is greater than r, represented as s> r.

Complete statement is, For any real number r, there exists a real number s such that s>r.

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The point that best approximates the square root of 78 is a point that is between 8 and 9.

The estimate of a non-exact square root of x is done finding these two numbers listed as follows:

For this problem, we have that these two parameters are given as follows:

Hence the point that best approximates the location of the square root of 78 is a point between 8 and 9.

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Area of a Triangle = A = ½ (b × h) square units

where b and h are the base and height of the triangle, respectively. Now, let's see how to calculate the area of a triangle using the given formula.

Define right triangle?

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The correct ratio of right angled triangle is [tex]\frac{c}{b} = \frac{b}{s}[/tex]

There are a few unique varieties of right triangles, including the 45°-45° and the 30°-60° varieties.

Theorem: In a triangle, the angle across from the first side is a right angle if the square of one side equals the sum of the squares of the other two sides. To demonstrate: B=90° Proof: ABC has the formula [tex]AC^2 = AB^2 + BC^2[/tex]

The right triangle. A triangle with one right angle, or 90°, is referred to as a right triangle. The longest side, which is the side opposite the right angle, is referred to as the hypotenuse. The remaining two sides are referred to as the right triangle's legs because they intersect to form the right angle.

The hypotenuse, along with the two legs, make up a right triangle. The hypotenuse, the longest side of the right triangle and the side opposite the right angle, is where the two legs of a right triangle come together at a 90° angle. [tex]AC^2 = AB^2 + BC^2[/tex]

Given,

b/s = ratio of hypotenuse to height

c / b = ratio of hypotenuse to height

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The 95% confidence interval estimate of the mean demand during lead time is given as follows:

[tex]\overline{x} \pm 29.4[/tex]

The interpretation is that we are 95% sure that the sample mean is within 29.4 computers of the population mean.

The bounds of the confidence interval are given by the equation presented as follows:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which the parameters are given as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The remaining parameter values are given as follows:

[tex]\sigma = 75, n = 25[/tex]

Hence the interval is given as follows:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]\overline{x} \pm 1.96 \times \frac{75}{\sqrt{25}}[/tex]

[tex]\overline{x} \pm 29.4[/tex]

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The derivative of the function is f'(s) = 9s^2 + 2 and the values are 146 and 11

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

f(s) = 3s^3 + 2s

Differentiate the function

So, we have

f'(s) = 9s^2 + 2

When the values are evaluated, we have

f(-4) = 9(-4)^2 + 2 = 146

f(-1) = 9(-1)^2 + 2 = 11

Hence, the values are 146 and 11

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Answer:

Step-by-step explanation:

15-12=03

3X 11 =33

33-5=28

28-9=19

19-3=16

16 divided by 4= 4

so the awser is 4