The total cost of a new calculator is $81.05. This price includes a 10% discount followed by a 6.5% sales tax. What was the original price of the calculator not including the tax or the discount? pls answer fast

Answer:

y-int = 0.2

Step-by-step explanation:

hope this helps ? :)

If the jobs are sequenced according to the SLACK rule, Job A would be completed on day 12.

The SLACK rule involves calculating the slack time for each job, which is the difference between the due date and the completion time. The job with the least slack time is prioritized and scheduled first. In this case, the due dates for the jobs are as follows: Job A (12), Job B (15), Job C (17), Job D (10), and Job E (8).

Job A has a processing time of 8 days and a due date of 12, so the slack time is 12 - 8 = 4 days. Since Job A has the least slack time among all the jobs, it would be completed on day 12. Therefore, the answer is D. 12.

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There are 7 students who are studying both programming languages in the given class of 55 freshman.

This can be determined using a Venn diagram.

A Venn diagram is a graphical representation of sets or classes. The diagram shows sets, their elements, and the union, intersection, and complement of these sets.

A set is a collection of distinct objects, considered as an object in its own right. The elements of a set are frequently things of a similar nature, and sets are characterized by a distinctive property.

The size of a set is represented by the number of elements it contains. Let's use the following symbols to represent sets:

A={Elements in set A}

B={Elements in set B}

The intersection of sets A and B is the set of elements that are in both sets A and B. This can be expressed in the following way

n(A∪B) = n(A) + n(B) - n(A⋂B) where n(A⋂B) is known as intersection

The number of students studying both programming languages can be calculated by taking the intersection of the two sets.

We can use this formula to calculate the number of students studying both programming languages

:|A∩B|=|A|+|B|-|A∪B|

Where |A| denotes the number of elements in set  A studying C programming

|B| denotes the number of elements in set B studying Java

|A∪B| denotes the number of elements in the union of sets A and B (total students)

Now we can substitute the given values into the formula as follows

|A∩B|=38+24−55=7

Therefore, there are 7 students studying both programming languages.

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1. Angles BAP and CAP are congruent by the definition of the angle bisector theorem.

2. Segment AP is congruent to itself by the reflexive property.

The angle bisector of a triangle divides a triangle into two parts, from an angle, and the angle is divided into two equal parts.

The bisected angle in this problem is given as follows:

Angle A.

The two new angles are given as follows:

<BAP and <CAP.

Hence they are congruent by the definition of the angle bisector theorem, and congruent is the word that completes the blank for item 1.

For item 2, the reflexive property is the property that states that a segment is always congruent to itself. Hence the reflexive property is the work that completes the blank for item 2.

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Answer:

Number of Books. Cost (dollars). 7 14. 8 16. 9 18. Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form...

First, translate vertex b to vertex y. next, rotate δabc about b to align the sides and angles, option B.

Triangles can be mapped using a combination of translations, rotations, reflections, and dilations. These transformations change the position, orientation, and size of the triangle in the plane.

For example, a translation involves moving the triangle in a certain direction without changing its orientation or shape, while a rotation involves turning the triangle around a fixed point by a certain angle. A reflection involves flipping the triangle across a line of symmetry, while a dilation involves changing the size of the triangle by a certain factor.

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The complete question is:

How can ΔABC be mapped to ΔXYZ?

First, translate ____________________. next, rotate δabc about b to align the sides and angles.

vertex b to vertex z

vertex b to vertex y

vertex a to vertex z

vertex a to vertex y

Answer:

A. vertex B to vertex Z

Step-by-step explanation:

Got correct on my quiz

The Volume of the Pyramid=19.19in³

Surface Area of  the Pyramid=48.65in²

Volume is a unit of measurement for the area occupied in three dimensions. It is widely quantified and measured using SI-derived units, alternative imperial units, or US standard units (such as the gallon, quart, cubic inch). Volume and length (cubed) have a similar meaning.

First, volume was calculated using naturally occurring vessels with a similar shape, and then using standardized containers. Calculating the volume of numerous common three-dimensional forms is made simple by arithmetic formulas. The volumes of increasingly complicated shapes can be calculated using integral calculus.

Given that,

Height of the pyramid =4.7

Pyramid's slant height= 5.2

Base of pyramid is a square with side=3.5

Volume of the pyramid=(1/3)(3.5×3.5)×(4.7)

=19.19 in³

The surface area of a pyramid=((1/2)×(4×3.5)×5.2)+(3.5×3.5)

=18.65in²

Therefore, the volume of the pyramid=19.19 in³

And the surface area of the pyramid=18.65in²

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Answer:

V = 272 π cm^3

Step-by-step explanation:

r = 4 cm

h = 17 cm

V = πr^2h

V = π((4)^2)(17) cm^3 = 272 π cm^3

Answer:

-11

Step-by-step explanation:

y= -2 squared - 4 x 4 - 1

y=4-16-1

y=-11

Answer:

Please show the full problem.

Step-by-step explanation:

The solution is, the correct answer is Second Option, that is, infinite solutions.

Linear equations are equations that have constant average rates of change, slope or gradient.

here, we have,

The solution to a system of linear equations is the point where the two lines intersect.

Note that in this case we have two vertical lines, and notice that line b is on line a.

Therefore we can say that there are infinite points of interception.

This means that the system has infinite solutions.

Hence, The solution is, the correct answer is Second Option, that is, infinite solutions.

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There are 1,443,600 ways to draw three names for first, second, and third prize from a pool of 112 people.

To determine the number of ways to draw three names for first, second, and third prize from a pool of 112 people, we can use the permutation formula.

The number of permutations of n objects taken r at a time is given by:

P(n, r) = n! / (n - r)!

where n! represents the factorial of n (the product of all positive integers up to n).

For this problem, we want to find the number of ways to draw three names out of 112, without replacement and with regard to the order in which they are drawn (i.e., the first name drawn is for first prize, the second name drawn is for second prize, and the third name drawn is for third prize). Therefore, we can use the permutation formula to obtain:

P(112, 3) = 112! / (112 - 3)!

= 112! / 109!

= 112 x 111 x 110

= 1,443,600

Therefore, there are 1,443,600 ways to draw three names for first, second, and third prize from a pool of 112 people.

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Answer:

The 2nd one

Step-by-step explanation:

For the function f(x) = 16 - x²/³, there are no values of c in the interval (64, 64) such that f'(c) = 0. In other words, there are no critical points in that interval.

For the function f(x) = (x - 3)⁻², there are no values of c in the interval (2, 5) such that f(5) - f(2) = f(c)(5 - 2). In this case, the equation does not hold for any value of c in the given interval.

1. For the function f(x) = 16 - x²/³, we need to find the critical points by finding the values of c where f'(c) = 0. Taking the derivative of f(x) with respect to x, we get:

f'(x) = -2x^(1/3)

Setting f'(x) = 0, we have:

-2x^(1/3) = 0

This equation has no real solutions, which means there are no critical points in the interval (64, 64).

2. For the function f(x) = (x - 3)⁻², we are given the equation f(5) - f(2) = f(c)(5 - 2). Let's evaluate the expressions:

f(5) = (5 - 3)⁻² = 1/4

f(2) = (2 - 3)⁻² = 1

Substituting these values into the equation, we have:

1/4 - 1 = f(c)(5 - 2)

-3/4 = 3f(c)

f(c) = -1/4

Now, we need to find the value(s) of c in the interval (2, 5) that satisfy f(c) = -1/4. However, when we solve for c, we find that there is no solution. Therefore, there are no values of c in the given interval that satisfy the equation.

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Answer:

$160

Step-by-step explanation:

Do 96÷12 = 8

8 x 20 = 160 :)

The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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Answer:

0.59, 3/5, 0.65

Step-by-step explanation:

3/5 = 0.60

Then you find out which is the smallest: 0.59

Middle: 0.60 (3/5)

Biggest: 0.65

DONE! hope this helped!

Answer:

See below

Step-by-step explanation:

The measure of all the arcs can be obtained by using 'Central angle and its corresponding arc theorem'.

1. The measure of arc AD is \( \boxed {105}\degree \)

2. The measure of arc ABC is \( \boxed {205}\degree \)

3. The measure of arc ADB is \( \boxed {190}\degree \)

4. The measure of arc BD is \( \boxed {85}\degree \)

Answer: 5

Step-by-step explanation:

 8+(-3)

=8-3 ⇔ you don't need to change signs when it is positive(+) outside the parenthesis

=5 ⇔ subtraction

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Answer:

55x

Step-by-step explanation:

To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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The simplified form of the given expression ( a⁴b²c³d ) / acbd is equal to (a³bc² ) .

As given in the question,

Given expression :

 ( a⁴b²c³d ) / acbd

Simplified form of the given expression using rules of power and exponents:

Since this is division of algebraic fractions, the index (power or exponent) of the like literals in the numerator and denominator are to be subtracted. Thus index of variable a reduces from 4 to 1. Similarly index of variable b reduces from 2 to 1 and that of c reduces from 3 to 2. Lastly variable d remains in the denominator as there is no corresponding factor in the numerator.

( a⁴b²c³d ) / acbd

= (a⁴⁻¹ )(b²⁻¹ )(c³⁻¹ )(d¹⁻¹)

= a³ bc²d⁰

= a³bc²

Therefore, the simplified form of the given expression ( a⁴b²c³d ) / acbd is equal to (a³bc² ) .

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Answer:

A, B, and C

Step-by-step explanation:

EDGE unit test 2020

The rows that stands for when (p ∧ q) ∨ (p ∧ r) is true is row A, B, and C. Check more about Truth table below

The truth table is known to be a table that depicts the real value of any kind of compound statement.

Note that for every truth-value of a statements there is a similar table depicting the value of the output for all of the value of all of the  input and as such, rows that stands for when (p ∧ q) ∨ (p ∧ r) is true is row A, B, and C.

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a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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Answer:

Roosevelt appeals to the logic of the audience by noting that the interests of the people are not considered in a one-party government.

Step-by-step explanation:

Answer:

It is B,C, and D.

Step-by-step explanation:

Answer:

hey! look this up on mathaway, I think it'll be on there!

Answer:

  A.  60 ft·lb

Step-by-step explanation:

You want the work done lifting a 15-lb flower pot to a height of 4 ft.

Work is the product of force and distance. When the pot is raised 4 ft, the work done is ...

  W = F·d

  W = (15 lb)(4 ft) = 60 ft·lb

<95141404393>

Answer:

=−1

Step-by-step explanation:

=−1