Recall that the formula for the area of a triangle is A=(1)/(2) bh. Find the area of a triangle whose base is 11(1)/(2) inches and whose height is 8(1)/(4) inches. The area of the triangle is square inches.

I am going to assume that the equation was supposed to be  \(9y^{5}\)\(-10y^{3}\)

Answer:

It is a polynomial. It is a binomial and it has a degree of 5.

Step-by-step explanation:

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables so \(9y^{5}\)\(-10y^{3}\) will be considered a polynomial.

A binomial is a polynomial with 2 terms.

The degree of a polynomial is the highest exponent in it which in this equation is 5.

To determine the missing amounts in each situation, let's analyze the given information.Situation a: Supplies available-prior year end: $3,578

Supplies purchased during the current year: $675

Total supplies available: $4,725

To find the missing amount, we can subtract the known values from the total supplies available:

Missing amount (Situation a) = Total supplies available - (Supplies available-prior year end + Supplies purchased during current year)

                           = $4,725 - ($3,578 + $675)

                           = $4,725 - $4,253

                           = $472

Therefore, the missing amount in Situation a is $472.

Situation b:

The missing amount is already provided in the question as $12,165.

Situation c:

Supplies available-current year-end: $3,041

Supplies expense for the current year: (unknown)

To find the missing amount, we need to determine the supplies expense for the current year. However, based on the given information, there is no direct indication of the supplies expense. It is not possible to determine the missing amount in this situation without additional information.

Situation d:

Supplies available-current year-end: $5,400

Supplies expense for the current year: $24,257

To find the missing amount, we can subtract the known supplies expense from the supplies available at the current year-end:

Missing amount (Situation d) = Supplies available-current year-end - Supplies expense for the current year

                           = $5,400 - $24,257

                           = -$18,857 (negative value indicates a loss)

Therefore, the missing amount in Situation d is -$18,857 (indicating a loss of $18,857).

In summary, we were able to determine the missing amounts in Situations a and d, while Situations b and c already provided the missing amounts in the question.

For more such questions on suplies.

https://brainly.com/question/867226

#SPJ8

Answer:

Multiply the denominator of the fractional part by the whole number, and add the result to the numerator.

Step-by-step explanation:

You can add or subtract mixed numbers by turning them to improper fractions first. Improper fractions are fractions where the numerator is greater than the denominator.

The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.

This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.

The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.

Learn more about syntax:

https://brainly.com/question/21926388

#SPJ11

The bug crawled 6.7m away

Data;

To solve this problem we would use Pythagoras theorem

\(x^2=y^2+z^2\)

substitute the values into the equation and solve.

\(7^2=2^2+z^2\\49=4+z^2\\z^2=49-4\\z^2 = \sqrt{45}\\\\z= 6.7\)

from the calculation above, the bug crawled 6.7m.

Learn more on Pythagoras theorem here;

https://brainly.com/question/654982

Answer:

2×10^7

Step-by-step explanation:

cuz 3:6 is 2 and 10^2÷10^-5 equals 10⁷

Answer:

2×10^7

Step-by-step explanation:

6×10²/3×10^5

6/3×10²-10^-5

2×10²-^(-5)

2×10²+^5

2×10^7

rate as brainliest

The algebraic expression should often take one of the following forms: addition, subtraction, multiplication, or division. Bring the variable to the left and the remaining values to the right to determine the value of x. To determine the outcome, simplify the values.

       x+ 38+103= 180

       x+141 =180

      x =180- 141

      x   =  39

To learn more about value of x refer

https://brainly.com/question/16831914

#SPJ13

Chris's research costs can be calculated using the percentage increase in his return and the desired hourly wage. The cost of his research will be $375.45. As a result of the research, Chris's return will increase by $257.96. On a strict economic basis, Chris should perform the proposed research as the increase in return outweighs the cost.

To calculate the cost of Chris's research, we need to determine the amount of time he devotes to it. Let's assume he spends x hours on research. The cost of his research can be calculated by multiplying his desired hourly wage ($31.00) by the number of hours spent:

Cost of research = $31.00 × x

Now, to find x, we need to consider the percentage increase in Chris's return. The percentage increase is given as a range from 6.1% to 8.7%. Let's take the average of these percentages, which is (6.1% + 8.7%) / 2 = 7.4%. This means Chris's return will increase by 7.4% as a result of the research.

To find x, we can set up the following equation:

1.074 × initial return = final return

Simplifying the equation, we have:

initial return = final return / 1.074

Since the initial return is given as a percentage, we can express it as 100% (or 1 in decimal form). The final return can be expressed as 100% + 7.4% = 107.4% (or 1.074 in decimal form).

So, the equation becomes:

1 = 1.074 / initial return

Solving for initial return, we find:

initial return = 1.074

Now, we can substitute the initial return into the equation for cost of research:

Cost of research = $31.00 × x = $31.00 × (initial return - 1) = $31.00 × (1.074 - 1) = $31.00 × 0.074 = $2.294

Rounding this to the nearest cent, the cost of Chris's research is approximately $2.29.

Next, to find the increase in Chris's return as a result of the research, we can calculate:

Increase in return = final return - initial return = 1.074 - 1 = 0.074

Finally, we can calculate the increase in dollars:

Increase in dollars = Increase in return × initial return = $31.00 × 0.074 ≈ $2.30

Rounding this to the nearest cent, Chris's return will increase by approximately $2.30.

On a strict economic basis, Chris should perform the proposed research. The cost of research is $2.29, while the increase in return is $2.30. Therefore, the increase in return outweighs the cost, resulting in a positive net benefit.

Learn more about hourly wage here:

https://brainly.com/question/14659672

#SPJ11

Answer:

1 / We have the area of a rectangle ABCD = 8 x 16 = 128 ft²

2 / Find the area of an isosceles Δ DEF:

The base of the isosceles ΔDEF => DF = DC- FC = 16 -12 = 4 ft

So the area of Δ DEF = 1/2 (DF x EH) = 1/2 (4 x 6) = 12 ft²

3 / Area of the irregular shape = area ABCB + Area DEF = 128 + 12 = 140 ft²

Step-by-step explanation:

Answer:

CIAE

Step-by-step explanation:

The probability of event Upper B 1 given event A is approximately 0.0134.

To find P(Upper B 1|A) using Bayes' rule, we need to use the formula:

P(Upper B 1|A) = P(A|Upper B 1) × P(Upper B 1) / P(A)

To find P(A), we can use the law of total probability:

P(A) = P(A|Upper B 1) × P(Upper B 1) + P(A|Upper B 2) × P(Upper B 2) + P(A|Upper B 3) × P(Upper B 3)

Substituting the given values, we get:

P(A) = 0.6 × 0.05 + 0.5 × 0.4 + 0.4 × 0.55

P(A) = 0.029 + 0.2 + 0.22

P(A) = 0.449

Now, substituting the values of P(A|Upper B 1), P(Upper B 1), and P(A) into the Bayes' rule formula, we get:

P(Upper B 1|A) = (0.6 × 0.05) / 0.449

P(Upper B 1|A) = 0.006 / 0.449

P(Upper B 1|A) ≈ 0.0134

Therefore, the probability of event Upper B 1 given event A is approximately 0.0134.

For more such questions on Probability: brainly.com/question/11234923

#SPJ4

option C again correct if I'm wrong

An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.

Answer: the y-intercept of the line is 32

Answer:

3

Step-by-step explanation:

(48-6^2)/4

6^2 = 36

48 - 36 = 12

12/4

3

edit: I had the wrong answer, I fixed it though

Answer:

when the shapes are similar, ratio of their sides are the same

QR/MN = c/6 = PQ/LM = 2/4

c/6 = 2/4

c = 3

Step-by-step explanation:

Answer:

The answer is 11!

Step-by-step explanation:

Divide 22 by 2. :) took the quiz and this was correct

Answer:

C and D

Step-by-step explanation:

Substitute 1.33333333... for x and solve to see if its true.

Answer:

Step-by-step explanation:

The perimeter of the semicircle is 66. 846 meters

The formula for finding the perimeter of a semicircle is

Perimeter = πr + 2r

We were given diameter = 26meters

Radius, r = diameter/2

radius = 26/ 2 = 13 meters

π = 3. 142

Substitute value into the formula

Perimeter = 3. 142 × 13 + 2 × 13

Perimeter = 40. 846 + 26

Perimeter = 66. 846 meters

Thus, the perimeter of the semicircle is 66. 846 meters

Learn more about semicircle here:

https://brainly.in/question/33100689

#SPJ1

Characteristic 'c' using a 64-bit long real equivalent decimal number -147 with mantissa 'f' = 0.1484375, the number can be expressed as -1.48 x 10^2. The characteristic 'c' is the exponent of the power of 10. Therefore, the characteristic 'c' is -2.

The scientific notation representation of a real number is given by 'm x 10^c', where 'm' is the mantissa and 'c' is the characteristic. In this case, we have a 64-bit long real equivalent decimal number -147 with mantissa 'f' = 0.1484375. The number can be written as -1.48 x 10^2.

To determine the characteristic 'c', we look at the exponent of the power of 10. In this case, the exponent is 2. However, since the number is negative, the characteristic is also negative. Therefore, the characteristic 'c' is -2.In summary, for the given number -147 with mantissa 0.1484375, the characteristic 'c' is -2.

Learn more about decimal number click here: brainly.com/question/4708407

#SPJ11

Answer:

Step-by-step explanation:

ima a braintlest

When Colin reaches 59 years of age, he will have approximately 168,498.59 in his retirement account.

To calculate the future value of Colin's retirement account, we can use the formula for compound interest:

\(A = P \times (1 + r/n)^{(n \times t)}\)

where:

A = the future value of the retirement account

P = the initial deposit (which is zero, since Colin is just starting to make deposits)

r = the annual interest rate (2.5%)

n = the number of times the interest is compounded per year (12, since it's compounded monthly)

t = the number of years until Colin reaches 59 (59 - 21 = 38)

Using this formula, we can calculate the future value of Colin's retirement account:

\(A = 200 \times (((1 + 0.025/12)^{(12 \times38))}-1)/(0.025/12)\)

A ≈ 168,498.59

Therefore, when Colin reaches 59 years of age, he will have approximately 168,498.59 in his retirement account.

for such more question on age

https://brainly.com/question/28419497

#SPJ11

Infinitely many position vectors with length 2 in xyz-space are orthogonal to the nonzero position vector v. (D)

A position vector in xyz-space is a vector that starts at the origin and ends at a point in xyz-space. The length of a position vector is the distance from the origin to the point it ends at.

If we want to find position vectors with length 2 that are orthogonal (perpendicular) to a given nonzero position vector v, we can use the dot product.

Let w be a position vector with length 2 that is orthogonal to v. Then, the dot product of v and w must be zero, since they are orthogonal. That is, v · w = 0. Since the length of w is 2, we can write w as 2u for some unit vector u. Thus, v · w = v · (2u) = 2(v · u) = 0.

This means that v and u are orthogonal as well, since the dot product of two vectors is zero if and only if they are orthogonal.

There are infinitely many unit vectors u that are orthogonal to v, and therefore, there are infinitely many position vectors with length 2 that are orthogonal to v. Therefore, the answer is (d) infinitely many.

To know more about dot product click on below link:

https://brainly.com/question/29097076#

#SPJ11

Answer:

x = 90

Squares add up to 360 degrees 90 + 90 + 90 + 90 = 360 Hope that helps!

Answer:

45 degrees

Step-by-step explanation:

Answer: D

Step-by-step explanation:

I believe it’s D because a scaled copy is similar to the original shape, but with different shapes. It might be C, but however in math, to make a scaled copy, you have to multiply length number with the same number. (Example: Length is 2, so the scaled copy is 4.)

I hope you have a good day.

The closest option is D. $-0

To determine the gain or loss on the repurchase of stock, we need to compare the repurchase price with the original sale price.

Original sale price: 500,000 shares * $50 per share = $25,000,000

Repurchase price: 12,000 shares * $40 per share = $480,000

To calculate the gain or loss, we subtract the repurchase price from the original sale price:

Gain or Loss = Original Sale Price - Repurchase Price

            = $25,000,000 - $480,000

            = $24,520,000

Since the result is a positive value, it represents a gain. Therefore, the company will recognize a gain of $24,520,000 on its income statement.

The given options do not include this exact amount, so the closest option is D. $-0-. However, it is important to note that the gain is not zero but rather $24,520,000.

Read more about gains or losses on:

brainly.com/question/28445484

#SPJ4

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=12\\ V=192\pi \end{cases}\implies 192\pi =\pi r^2(12) \\\\\\ \cfrac{192\pi }{12\pi }=r^2\implies 16=r^2\implies \sqrt{16}=r\implies 4=r\)

Answer:

Step-by-step explanation:

volume=pi*r^2*h

192pi=pi*r^2*h

192=r^2*h

16=r^2

4=r

To solve the first equation, f(x) = x^2 - 7x^2 + 2x + 9 = 0, we can use the quadratic formula. The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our case, the equation is x^2 - 7x^2 + 2x + 9 = 0, so a = 1, b = -7, and c = 2.

Plugging in these values into the quadratic formula, we have:

x = (-(-7) ± √((-7)^2 - 4(1)(2))) / (2(1))

Simplifying further:

x = (7 ± √(49 - 8)) / 2

x = (7 ± √41) / 2

Now, let's approximate the roots up to 4 significant digits:

x ≈ (7 + √41) / 2 ≈ 6.7053

x ≈ (7 - √41) / 2 ≈ 1.3259

Therefore, the roots of the equation f(x) = 0 are approximately x = 6.7053 and x = 1.3259.

For the second equation, x^2 + 2x + 4 = 0, we can also use the quadratic formula. In this case, a = 1, b = 2, and c = 4.

Applying the quadratic formula:

x = (-2 ± √(2^2 - 4(1)(4))) / (2(1))

x = (-2 ± √(4 - 16)) / 2

x = (-2 ± √(-12)) / 2

Since the term under the square root is negative, we have complex roots. Simplifying further:

x = (-2 ± √(12)i) / 2

x = -1 ± √3i

Therefore, the roots of the equation x^2 + 2x + 4 = 0 are approximately x = -1 + √3i and x = -1 - √3i.

learn more about quadratic here

https://brainly.com/question/22364785

#SPJ11

The number of people that can go to the amusement park is 10 people

There are three basic types of equation in mathematics. Namely:

259 = 6.50 + 25.25x

259 - 6.50 = 25.25x

252.50 = 25.25x

x = 252.50 / 25.25

x = 10 tickets

Therefore, the number of people that can go to the amusement park is 10 people

Learn more about equations:

https://brainly.com/question/2972832

#SPJ4