Communicate and Justify:

Tau says that the
sum of -1 3/4 and 2 1/2 is the same as the difference
between 2 1/2 and 1 3/4. Is Tau correct? Explain why
or why not.

For a bond table for a sale of 40 bonds that resulted in a net amount of 36,754 the last price value for one bond in this sale is $918.85.

what is net amount?

Net amount refers to the final amount of money after all deductions or additions have been made. In the context of finance or accounting, it can refer to the total amount of money received or paid after all expenses, taxes, and other deductions have been taken into account.

To solve this problem, we need to use the bond table formula, which is:

Net Amount = (Price + Accrued Interest) × Number of Bonds × (1 - Commission)

We are given that the net amount from the sale of 40 bonds is $36,754. We also know that the commission rate is not given, but we can assume that it is 0 (i.e., no commission is charged).

So, the formula becomes:

36,754 = (Price + Accrued Interest) × 40 × (1 - 0)

Simplifying this equation, we get:

Price + Accrued Interest = 36,754 ÷ 40

Price + Accrued Interest = 918.85

We are asked to find the last price value, which is the price of one bond. To do this, we need to subtract the accrued interest from the price:

Price = Last Price Value - Accrued Interest

Substituting this into the equation above, we get:

Last Price Value - Accrued Interest + Accrued Interest = 918.85

Last Price Value = 918.85

Therefore, the last price value for one bond in this sale is $918.85. Answer choice A, 918.85, is the correct answer.

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The derivative of the function f(t) = 3^(7t)/ t is 3^(7t)(7ln(3)t - 1) / t^2.  

Given function is f(t) = 3^(7t)/ t

To find the derivative of the function, we have to use the formula of quotient rule.

The formula is given as,If y = u/v, then dy/dx = (v du/dx - u dv/dx) / v²

f'(t) = [(t)(d/dt)(3^(7t)) - (3^(7t))(d/dt)(t)] / t^2

The first term requires the chain rule:

(d/dt)(3^(7t)) = (3^(7t))(d/dt)(7t) = (3^(7t))(7ln(3))

Substituting into the formula, we get:

f'(t) = [(t)(3^(7t))(7ln(3)) - (3^(7t))] / t^2

     = [3^(7t)(7ln(3))(t) - 3^(7t)] / t^2

Simplifying, we get:

f'(t) = 3^(7t)(7ln(3)t - 1) / t^2

Therefore, the derivative of the function f(t) = 3^(7t)/t is:

f'(t) = 3^(7t)(7ln(3)t - 1) / t^2

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Answer:

Step-by-step explanation:

6x = 54

x = 54 /6

x=9

therefore value of x is 9

Answer:

6x=54 if x =9 because 54/6 equals nine

Step-by-step explanation:

Answer:

5y=10-2x

y=(10-2x)/5

2x=10-5y

X=(10-5y)/2

x=375

Answer:

Solution given:

24% of x=90

or \(\frac{24}{100} *x=90\)

\(\frac{6*x}{25}=90\)

6x=90*25

6x=2250

x=\(\frac{2250}{6}\)

x=375

The question is an illustration of sequence and pattern

The cell entries that complete the table are 0.08 and 400

The table entries are given as:

Day     Avi's rule      Benita's rule

1             0.01              100

2            0.02             200

3            0.04            300

4

From Avi's rule, we can see that:

The new elements are generated by multiplying the current element by 2.

So, the entry that fills the missing blank in Avi's rule is:

\(Avi = 2 * 0.04\)

\(Avi = 0.08\)

From Benita's rule, we can see that:

The new elements are generated by adding 100 to the current element.

So, the entry that fills the missing blank in Benita's rule is:

\(Benita = 100 + 300\)

\(Benita = 400\)

So, the complete table is:

Day     Avi's rule      Benita's rule

1             0.01              100

2            0.02             200

3            0.04            300

4            0.08           400

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Answer: B

Step-by-step explanation: I chose c and got it wrong and looked at the answers and it said B was correct

The graph of f (x) = three-halves (one-third) superscript x will be B. On a coordinate plane, an exponential decay function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 1.5) and goes through (1, 0.5).

It should be noted that a graph shows the relationship between the numbers or measurements given.

In this case, on a coordinate plane, an exponential decay function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 1.5) and goes through (1, 0.5). This correctly depicts the function.

In conclusion, the correct option is B.

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d - Perpendicular bisectors is the correct option.

The criteria for drawing a circle around any triangle are as follows:

The point of intersection of the perpendicular bisectors of the triangle's sides is the circle's center.

The radius of a circle equals the distance between the center and any vertex of a triangle.

Alternatively,

The point of intersection of the angle bisectors of the triangle's angles is the circle's center.

The radius of the circle is equal to the distance from the center to any side of the triangle.

When inscribing a circle around any triangle, angle bisectors, circle centers, and perpendicular bisectors are all involved.

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Answer:

1 no False

2 no True

3 no True

4 no False

Step-by-step explanation:

Answer:

-1.13

Step-by-step explanation:

you can count the lines and get the answer, one line down from -1.1 is -1.11 since -1.1 is technically -1.10 and you keep counting until the dot

The total money to make 22 deliveries in one shift is, $116.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

A pizza delivery man makes $50.00 a shift.

And, He makes $3.00 on each shift.

Now, For the total money to make 22 deliveries in one shift is,

⇒ $50 + $3 × 22

⇒ $50 + $66

⇒ $116

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Answer:

x = 80

measure of exterior angle = 112°

Step-by-step explanation:

32 + x = 2x - 48 (because the measure of exterior angle is equal to the sum of the two interior angles)

32 + x = 2x - 48

32 = x - 48

x = 80

plug in,

2(80) - 48

160 - 48 = 112

Using the Fundamental Counting Theorem, it is found that 60 different possible student council teams could be elected from these students.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

Considering the number of options for president, vice president, treasurer and secretary the parameters are:

n1 = 5, n2 = 2, n3 = 2, n4 = 3.

Hence the number of different teams is:

N = 5 x 2 x 2 x 3 = 60.

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A ... idunnno

hiiiiiiiii

Answer:

$0.99 in change

Explanation:

To apply the sales tax, you have to multiply:

8.50*1.06=9.01

This means that, with tax, the book will cost $9.01. If he gave them $10, he would get 99 cents back because 10-9.01 is 0.99.

An inequality is a mathematical statement that uses symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to) to compare two quantities. In real life, we can use inequalities to describe a wide range of situations. For example, let's say you are buying groceries and you have a budget of $50. You could use the inequality  total cost of groceries < $50 to describe your situation. This inequality states that the total cost of the groceries must be less than $50, or you will exceed your budget.

In another real life situation, let's say you are training for a race and you want to run a certain distance in a specific amount of time. You could use the inequality distance > speed × time to describe your goal. This inequality states that the distance you run must be greater than the product of your speed and the time it takes you to complete the race. Inequality statements can also be used in social science and economics. For example, we can use an inequality to describe the income distribution in a society. We could say that the top 10% of earners have an income greater than the bottom 90% of earners, using the inequality top 10% income > bottom 90% income.

In summary, inequalities can be used to describe real life situations by comparing two quantities using symbols such as <, >, ≤, or ≥. We can use inequalities to describe a wide range of situations, from grocery shopping to income distribution.

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Answer:

1000 cubic cm

Step-by-step explanation:

20 x 5 x 10 = 1000 cubic cm

Step-by-step explanation:

3a + 2 = 8 ==> a=2

12 + 2 = c ==> c=14

3b + 2 = 2 ==> b=0

3d - e = 15

4d - e = 21

fd - e = 45

------------------

d=6

e=3

f=7

Hope to helpfull

Answer:

\((4n + 3) - (3 {n}^{2} + 2) \\ = 4n + 3 - 3 {n}^{2} - 2 \\ = - 3 {n }^{2} + 4n + 1 \\ ( - 3 {n}^{2} - 3n) - (1n + 1) \\ - 3n(n + 1) - 1(n + 1) \\ (n + 1)( - 3n - 1) \\ n = - 1 \\ n= \frac{1}{ - 3} \)

Answer:

\(f(n) - g(n) = (4n + 3) - (3 {n}^{2} + 2) \\ = 4n + 3 - 3 {n}^{2} - 2 \\ = \boxed{4n - 3 {n}^{2} + 1}\)

\(3v^2-10v+3=0\\\\\implies 3v^2 - 9v-v +3=0\\ \\\implies 3v(v-3)-(v-3)=0\\\\\implies (v-3)(3v-1)=0\\\\\implies v = 3,~~v=\dfrac 13\)

Answer:

2/3

Step-by-step explanation:

rise/run

well basically 2 eould be how much you go up or down and 3 would be is your are moving left or right and since your going up its positive 2 and your going left its positive 3

Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

B) Dilation and rotation is the sequence of transformations would result in a figure that is similar but not congruent to the original figure

What is Dilation and Rotation transformation?

Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.

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Step-by-step explanation:

See your image below:

Let's assume the amount invested at the higher interest rate (16%) is x dollars.

The amount invested at the lower interest rate (6%) would then be ($80,000 - x) dollars, as the total investment is $80,000.

The interest earned from the investment at 16% is calculated as (x * 16%) = 0.16x dollars.

The interest earned from the investment at 6% is calculated as (($80,000 - x) * 6%) = 0.06(80,000 - x) dollars.

According to the given information, the retiree receives a total interest of $8,900 per year. So we can set up the equation:

0.16x + 0.06(80,000 - x) = 8,900

Now, let's solve the equation to find the value of x:

0.16x + 0.06(80,000 - x) = 8,900

0.16x + 4,800 - 0.06x = 8,900

0.1x + 4,800 = 8,900

0.1x = 8,900 - 4,800

0.1x = 4,100

x = 4,100 / 0.1

x = 41,000

Therefore, $41,000 is being invested at the higher interest rate (16%).

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According to the sigma factor, the gene encoding sigma-32 states that Genes usually unregulated by heat shock will be less responsive to heat treatment.

Sigma factor:

Sigma factor defines that a detachable polypeptide subunit of RNA polymerase that facilitates the initiation of transcription by recognizing specific DNA promoter sites.

Given,

Sigma-32 is a sigma factor, which mediates response to heat shock. What is the most likely effect in an e. Coli strain.

Here we need to determine in which has a mutation in the gene encoding sigma-32.

While we looking into the given question, Sigma-32 is a sigma factor, which mediates response to heat shock.

Basically, the genes  usually unregulated by heat shock will be less responsive to heat treatment.

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if Craig is painting the foul line area on the high school

basketball court, the value of the area he needs to paint is 114ft².

Option J) is the correct answer.

A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.

Area of a rectangle is expressed as;

A = length × breadth

Given the the foul line area is in the shape of a rectangle.

We substitute the values into the above equation.

A = length × breadth

A = 19ft × 6ft

A = 114ft²

Therefore, if Craig is painting the foul line area on the high school

basketball court, the value of the area he needs to paint is 114ft².

Option J) is the correct answer.

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In the circle, the area of the green region is A = π(r² - a²)

The area of a circle is given by A = πr² where r = radius of the circle.

In the picture, since we have two circle,to find the area of the green region, which is A = area of big circle, A" - area of small circle, A'

Now, the area of the big circle is A" = πr².

Also, the area of the small circle is A' = πa².

So, the area of the green region is A = A" - A'

= πr² - πa²

= π(r² - a²)

So, the area of the green region is A = π(r² - a²)

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