Estimate a 20% tip on a dinner bill of $169.86 by first rounding the bill amount to the nearest ten dollars

Answer:

x = -5 and x =5

Step-by-step explanation:

However, we notice that the solutions -5 and 5 satisfy the original equation in case 2, because |-6(-5)| = 30 and |-6(5)| = 30 is true. Therefore, the two solutions that satisfy the original equation in both cases are x = 5 and x = -5.

Hence, the solution to the equation |-6x| = 30 is x = 5 and x = -5.

On simplifying the given expression, we get 16/81.

In mathematics, simplification is reducing the expression/fraction/problem in a simpler form.

Given is to simplify the expression as -

(4/9)²

We can simplify the expression as -

(4/9)²

(4 x 4)/(9 x 9)

16/81

Therefore, on simplifying the given expression, we get 16/81.

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{Complete question -

Simplify....

(4/9)²}

Answer:

b or a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

A = 4 ft × 3ft = 12 ft²

∴ The area of the base of the prism is 12 ft².

So, by resolving the given, we obtain the result: Hence, the two angles angles  have respective measurements of 18 degrees and 54 degrees.

An angle is a form in Euclidean geometry made composed of two rays, referred to as the angle's sides, that converge at a centre point known as the angle's vertex. In the plane where they are positioned, two rays may come together to make an angle. A planar collision produces an angle as well. Dihedral angles are what these are known as. A potential arrangement of two rays or lines that share a termination is called an angle in plane geometry. The Latin word "angulus," which means "horn," is where the English word "angle" originates. The intersection of the two rays, often referred to as the angles' sides, is known as the vertex.

Let's designate "x" for the smaller angle and "y" for the greater angle.

We understand the following from the problem:

x + y = 72 (the total of the measurements of two neighbouring angles equals 72) (the sum of the measures of two adjacent angles is 72)

x/y = 1/3 (the ratio of the smaller angle to the bigger angle is 1:3) (the ratio of the smaller angle to the larger angle is 1:3)

x/y = 1/3

x = (1/3)y

x + y = 72

(1/3)y + y = 72

(4/3)y = 72

y = (3/4) * 72

y = 54

Hence, 54 degrees is the greater angle.

We can now utilise the second equation once more to get the value of x:

x/y = 1/3

x/54 = 1/3

x = (1/3) * 54

x = 18

The smaller angle is 18 degrees as a result.

Hence, the two angles have respective measurements of 18 degrees and 54 degrees.

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The area of the image is 56ft²

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

The area scale factor is the square of the linear scale factor.

Therefore area scale factor = 2² = 4

Therefore the area of the image of the triangle = 14× 4

= 56ft²

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According to the information in the graph, the majority of women had children by the age of 20, while the majority of men had children by the age of 24.

The most important data of the age of women to have children according to the survey is that the majority of women had children at the age of 20 years. Additionally, that women began to have children from the age of fifteen to 40 years.

Based on the data in the graph, it can be inferred that most of the men had children by the age of 24. Additionally, these cover a range from 15 years to 41 years.

According to the survey data, we can establish that women had children at younger ages than men because women who had children are concentrated between the ages of 18 and 24, while men are more evenly distributed. between the ages of fifteen and 32.

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In a round-robin chess tournament with 4 players, a total of 6 games were played.

What is function ?

In mathematics, a function is a relation between a set of inputs (also called the domain) and a set of possible outputs (also called the range) with the property that each input is related to exactly one output.

The formula for the number of chess games, N, in a round-robin tournament with n players is:

N = (n(n-1))/2

When n = 4, the number of games played is:

N = (4(4-1))/2 = 6

So, in a round-robin chess tournament with 4 players, a total of 6 games were played.

To identify a point on the graph, we need to plot the values of n and N on a graph with n as the x-axis and N as the y-axis. We can then plot the point (4,6) on the graph, where 4 represents the number of players and 6 represents the number of games played in the tournament. This point corresponds to the intersection of the horizontal line n=4 and the vertical line N=6. The graph is shown below:

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Substituting the values shows that the point that lies on the exponential function are

We can use substitution to determine which ordered pairs lie on the graph of the exponential function f(x) = 3(4)^2x.

For the first ordered pair (0, 3),

f(0) = 3(4)^2(0) = 3(1) = 3

(0, 3) lies on the graph of the exponential function.

For the second ordered pair (1, 48)

f(1) = 3(4)^2(1) = 3(16) = 48

(1, 48) lies on the graph of the exponential function.

For the third ordered pair (1/2, 12),

f(1/2) = 3(4)^2(1/2) = 3(4) = 12

(1/2, 12) lies on the graph of the exponential function.

For the fourth ordered pair (.25, 8), :

f(0.25) = 3(4)^2(0.25) = 6

say that (0.25, 8) does not lie on the graph of the exponential function.

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The domain of the function y = 3Inx graphed below is: A. x greater than 0.

A domain refers to the set of all real numbers (x-values) for which a particular function is defined.

In Mathematics, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain:

Domain = {1, ∞} or x > 0.

In conclusion, ln(0) is undefined and there is no negative natural logarithm, ln.

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The resultant quadrilateral is a kite, with opposing angles that are supplementary and two adjacent congruent acute angles (angles AEB and DEC) (angles BED and AEC).

In terms of geometry, a quad is a four-sided rectangle with four edges and four states. Its origins are in the Latin terms quadri and latus (meaning "side"). A rectangle is an a double shape with four sides, four edges, and four corners.

Jason can use the following procedures to draw the quadrilateral according to the requirements:

Mark A, B, C, and D as the four points on a section of a straight line.

Create two line segments, one from A to C and the other from B to D, with the intersection of the two segments at point E in the centre.

Due to the fact that angles BED and AEC are created by crossing two parallel lines with a transversal, they are opposing and supplementary (segments BD and AC).

The resultant quadrilateral is a kite, with opposing angles that are supplementary and two adjacent congruent acute angles (angles AEB and DEC) (angles BED and AEC).

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Using null hypothesis, we can find that the researcher has done type II error in this case.

Hypothesis testing uses sample data from the population and draws conclusions about the population's probability distribution. It looks at a data assumption and uses a variety of methods for testing assumptions. The null hypothesis is rejected or not according to the results of the hypothesis test.

The chance of rejecting the null hypothesis when it is true is what is meant by type I error.

Probability of adopting the null hypothesis when it is untrue is the definition of type II error.

Here, CAPSULES is not actually 100 Mg and you have taken the decision of fail to reject the null hypothesis, (which means that accepting the null hypothesis) so, this is a type II error.

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Answer:

y = (3/4)x + 29/4

this is the final answer in slope intercept form

Step-by-step explanation:

Answer:

The graph will shift 5 units to the left

The cost of one crate of eggs is given by A = 2400 pesewas

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the total cost of one crate of eggs be represented as A

Now , the value of A is

Let the number of eggs in one crate be = 30 eggs

The cost of one egg = 80 pesewas

Now , total cost of one crate of eggs A = number of eggs in one crate x cost of one egg

On simplifying the equation , we get

The total cost of one crate of eggs A = 30 x 80

The total cost of one crate of eggs A = 2400 pesewas

Hence , the equation is A = 2400 pesewas

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The complete question is :

What is the cost of one crate of egg at 80 pesewas each​ where the number of eggs in one crate is 30 eggs.

a) 1200 pesewas

b) 2400 pesewas

c) 600 pesewas

d) 3000 pesewas

The values that make the inequality m + 4 > -6 true are -4, 0, and 5.

The values that make the inequality n - 3n ≤ 8 true are -4, 0, and 5.

The values that make the inequality -5 < 5f true are 0 and 5.

The values that make the inequality 7 ≤ -y + 7 true are -10, -4, 0, and 5.

An inequality for the statement "Hank's height (h) is less than or equal to 6 feet." is h ≤ 6.

An inequality for the statement "A magazine (m) cost more than $3.50" is m > $3.50.

An inequality for the statement "The temperature (t) is at least -5 degrees" is t ≥ -5.

In this exercise, we would evaluate the given inequalities as follows;

-4 + 4 > -6

0 > - 6 (True).

0 + 4 > -6

4 > - 6 (True).

5 + 4 > -6

9 > - 6 (True).

n - 3n ≤ 8

-4 - 3(-4) ≤ 8

8 ≤ 8 (True).

0 - 3(0) ≤ 8

0 ≤ 8 (True).

5 - 3(5) ≤ 8

-10 ≤ 8 (True).

Generally speaking, the phrase "at least" simply means or represents greater than or equal to and it can be denoted by this inequality symbol (≥).

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The pet store donated 5 percent of $7,900 to hospitals.

How to find the percentage of a number?

To find the percentage of a number, we can use the formula:

(percent) = (part / whole) x 100

Where "part" is the portion we want to find the percentage of, and "whole" is the total amount. The result gives us the percentage of the part relative to the whole.

Calculation of the percentage donated to hospitals -

In this problem, we are given that a pet store donated a percentage of every sale to hospitals, and we need to find out what percentage of $7,900 was donated. We are also given that the total donation amount was $395.

To solve this problem, we can use the percentage formula, with the part being the donation amount ($395) and the whole being the total sales ($7,900).

Substituting these values into the formula, we get:

(percent donated) = (395 / 7,900) x 100

Simplifying the fraction, we get:

(percent donated) = 0.05 x 100

Multiplying 0.05 by 100 gives us 5

Therefore, the pet store donated 5% of $7,900 to hospitals.

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Answer:

Step-by-step explanation:

The following methods can be used by Kaitlyn to check her work:

She could substitute 7 for n and add.

This is a valid way to check her work as she found the value of the unknown to be 7, so substituting 7 for n should give her the same result.

She could subtract 6 from 13 and check that the answer is 7.

This is also a valid way to check her work as n + 6 = 13 can be rewritten as n = 13 - 6, which simplifies to n = 7.

She could put all the tiles in 1 pile and count them to see if there are 13.

This is a practical way to check her work, as she started with 6 tiles and added 7 more to make 13, so there should be a total of 13 tiles. Counting all the tiles would confirm this.

Therefore, the correct options are:

She could substitute 7 for n and add.

She could subtract 6 from 13 and check that the answer is 7.

She could put all the tiles in 1 pile and count them to see if there are 13.

The probability that the standard normal deviation variable z is greater than 2.13 is approximately 0.017.

What is standard normal deviation?

The standard normal deviation is a normal distribution with a mean of 0 and a standard deviation of 1. It is also referred to as the standard normal distribution or the z-distribution.

Standardizing a normally distributed variable involves transforming it into a standard normal variable by subtracting the mean of the original distribution from each value and dividing the result by the standard deviation. This transformation is known as standardization or normalization.

According to the question:

Yes, you can use the "normcdf" function on a TI-84 calculator to find the probability that the standard normal deviation variable z is greater than 2.13. Here's how:

Press the "2nd" button, then the "Vars" button to access the DISTR menu.

Scroll down to "2: normalcdf(" and press ENTER.

Enter the lower limit as -9999 (or any number much smaller than -2.13) since we want to find the probability to the right of 2.13.

Enter the upper limit as 2.13.

Enter the mean as 0 and the standard deviation as 1 since we are working with a standard normal distribution.

Press ENTER to get the probability.

The result should be approximately 0.01744. Rounding to three decimal places, we get:

P(z > 2.13) ≈ 0.017.

Therefore, the probability that the standard normal deviation variable z is greater than 2.13 is approximately 0.017.

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Where the above probability condition exists,

a. The probability value of 0.049 indicates that the sample results could not have easily occurred by chance. Therefore, we can conclude that there is sufficient evidence to suggest that 200 mg of caffeine has an enhancing effect on long-term memory.

b. The probability value of 0.75 indicates that the difference in performance between the two groups could easily be due to chance. Therefore, we cannot conclude that there is a significant difference in performance between the 200 mg and 300 mg groups based on this probability value. However, further research may be needed to investigate this question more thoroughly.

The study found that participants who were given 200mg of caffeine performed better on a memory test 24 hours later compared to the placebo group. With a probability of 0.049, it can be concluded that the difference between the two groups was not due to chance.

Therefore, there is sufficient evidence to suggest that caffeine has an enhancing effect on long-term memory. On the other hand, the group given 300mg of caffeine did not show a significant difference compared to the 200mg group, with a probability of 0.75 that the difference was due to chance.

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Answer:wth

uhhhhh 5 -7 -8 5

Step-by-step explanation:

Answer: P = 15N - 2t

Step-by-step explanation:

To find "P", we get rid of the last thing done to the subject (P).

Here it is "/15"

So we get rid of it by doing the opposite, remember, we do this to both sides.

Step 1:

             N = P - 2t/ 15

      x15 ↓                 ↓ ×15

              15N = P - 2t

Step 2:

Now, the last thing done to the "P" is "-2t". So we get rid of it by adding 2t to both sides.

                 15N = P - 2t

             +2t ↓             ↓ +2t

                  15N + 2t = P

So, we got P by its own, so we have made P the subject of the formula!

              N = P - 2t/ 15

      x15 ↓                 ↓ ×15

               15N = P - 2t  

           +2t ↓            ↓ +2t

               15N + 2t = P

               P = 15N - 2t

One major weakness of the constitution was that it failed to provide for the elective principle. In other words, no member of the Legislative Council was elected by Africans through the ballot box.

Tact is a term that B.F. Skinner used to describe a verbal operant which is controlled by a nonverbal stimulus and is maintained by nonspecific social reinforcement. Less technically, a tact is a label. Chapter five of Skinner's Verbal Behavior discusses the tact in depth.

here, we have,

Tameka's company is introducing a new invoicing and billing system as tameka is presenting the new system to the accounting team, she is careful to explain why the changes are important by the time she is done, the accounting team has shown their acceptance of the new procedures. this is likely because Tameka has used tact.

Tact is the ability to avoid upsetting or offending people by being careful not to say or do things that would hurt their feelings. implies the skill in dealing with persons or difficult situations of one who has a quick and delicate sense of what is fitting and thus avoids giving offense.

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The key features of the graph are

If the graph has a local maximum

From the given graph, we can see that:

The graph has a maximum (momentarily) at x = 1

This means that "yes", the function has a local maximum at x = 1

The local maximum

In (a), we have

x = 1

The y coordinates at this point is

y = 1

So, the local maximum is y = 1

The decreasing interval

From the graph, we can see that the y values decrease from -∝ till x = -1 and also decrease from x = 1 till ∝

The function type

Based on the appearance of the graph, the function is an odd function

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Answer:

Step-by-step explanation:

3

The correct option is (d) i.e. The area of the given parallelogram will be 36 ft²

What is a Parallelogram ?

A quadrilateral with two sets of parallel sides is known as a parallelogram. A parallelogram has equal-sized opposite sides and opposite angles. Additionally, the interior angles on the same side of the transversal are additional. 360 degrees is the total of all interior angles.

The term "parallelepiped" refers to a three-dimensional shape with parallelogram-shaped faces. The base (one of the parallel sides) and height (the distance from top to bottom) of a parallelogram determine its area, respectively. The length of each of a parallelogram's four sides determines its perimeter.

Given : base of parallelogram = 4+2= 6 ft

            height of the parallelogram = 6ft

We know that, area of a parallelogram = base × height

So, Area of the given parallelogram = 6 × 6

                                                           = 36 ft²

Hence, The correct option is (d).

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A plot of the given complex numbers is shown in the Argand diagram attached below.

In Mathematics, a complex number can be defined as any numerical quantity that comprises two main parts, which include a real number and an imaginary number.

In this exercise, you are required to plot the given complex numbers on an Argand diagram. Additionally, the sum and difference of the complex numbers z₁ and z₂ can be calculated as follows;

z₁ + z₂ = 5 + 2i + 1 + 3i

z₁ + z₂ = 6 + 5i

z₁ - z₂ = 5 + 2i - (1 + 3i)

z₁ - z₂ = 5 + 2i - 1 - 3i

z₁ - z₂ = 4 - i

In conclusion, we would use an online graphing calculator to plot all of the complex numbers as shown in the image attached below.

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