SHAYNA FREEL PLANS TO BUY $17.45 WORTH OF STATIONERY SUPPLIES. IF THE SALES TAX IS 13%, HOW MUCH WILL SHAYNA PAY?

The given coordinates are actually a rectangle

The coordinates are given as:

A (3, 1), B (1, 5), C (9, 9), and D (11, 5).

Calculate the distance between the coordinates using:

[tex]d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2[/tex]

So, we have:

[tex]AB = \sqrt{(3 -1)^2 +(1-5)^2} =\sqrt {20[/tex]

[tex]BC = \sqrt{(1 -9)^2 +(5-9)^2} =\sqrt {80[/tex]

[tex]CD = \sqrt{(9 -11)^2 +(9-5)^2} =\sqrt {20[/tex]

[tex]DA = \sqrt{(11 -3)^2 +(5-1)^2} =\sqrt {80[/tex]

The above shows that the opposite sides are congruent

Next, we calculate the slopes using:

m = (y2- y1)/(x2- x1)

So, we have:

AB = (1- 5)/(3-1) = -2

BC = (5- 9)/(1-9) = 1/2

CD = (9- 5)/(9-11) = -2

DA = (5- 1)/(11-3) = 1/2

The slopes of adjacent sides are opposite reciprocals.

This means that the sides are perpendicular

Hence, the given coordinates are actually a rectangle

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Answer:

Domain [-4 , +∞)

Range [0 , +∞)

Step-by-step explanation:

the function g such that g(x)=√(x+4) ,is defined

for the values of x that verify :

x + 4 ≥ 0

⇔ x ≥ -4

Then

The domain of g is [-4 , +∞)

………………………………………………

Let  x ∈ [-4 , +∞)  

then x ≥ -4

then x + 4 ≥ 0

then g(x) = √(x+4) ≥ 0

Therefore, we can affirm that the range of g is [0 , +∞)

SOLUTION :

YES as well as NO , two equilateral ∆s can be congruent if any of their side matched to one another,

& CANNOT be congruent if any of their side didn't matched in terms of length (magnitude).

________________________________

MARK BRAINLIEST!

Considering the probability of success of 0.8 in the Bernoulli trial, the probability of failure is of 0.2.

The probability of failure in a Bernoulli trial is one subtracted by the probability of a success.

In this problem, the probability of a success is of 0.8, hence the probability of failure is:

pF = 1 - 0.8 = 0.2.

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The exact distance and direction that Patrick is from Johnny is; 177.81 ft and 215.52°

Let the distance of Johnny to Patrick be x.

The angle opposite x would be; (90 - 50) + 90 + 30 = 160°

We will therefore use the cosine rule to find x;

X² = A² + B² - 2ABcosx

Where;

A and B are the distance of Johnny to Rob and Rob to Patrick respectively. Thus;

X² = 130² + 50² - 2(130)(50)cos160

X²= 16900 + 2500 + 12216.004

X² = 31616.004

X = 177.81 ft

To get the direction "y" we will use sine rule;

50/siny = 177.809/sin160

50/siny = 177.809/0.342

50/siny = 519.9094

Siny = 50/519.904

Siny = 0.09617

y = sin⁻¹(0.09617)

y = 5.52°

The bearing of Patrick from Johnny is;

5.52 + 30 + 180 = 215.52°

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See the graph in the attached image.

Answer:

y = 2x + 6

Step-by-step explanation:

We are given the line R, which is y=2x+5, and we want to find the equation of the line that is parallel to this line, and that also passes through the point (-2, 2).

Parallel lines have the same slope, yet different y-intercepts.

So, we should first find the slope of y=2x+5.

The line is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

As 2 is in the place of where m (the slope) should be, 2 is the slope of the line.

It is also the slope of the line parallel to it.

We can write the equation of the new line in slope-intercept form as well; here is the equation so far, with what we know:

y = 2x + b

We need to find b.

As the equation passes through the point (-2, 2), we can use its values to help solve for b.

Substitute -2 as x and 2 as y.

2 = 2(-2) + b

Multiply.

2 = -4 + b

Add 4 to both sides.

6 = b

Substitute 6 as b.

y = 2x + 6

The probability that the diameter of a randomly selected pipe will exceed 0.84 inch is 0.977

Probabilities are used to determine the chances, likelihood, possibilities of an event or collection of events

The given parameters are:

Mean = 0.8

Variance = 0.0004

Calculate Standard deviation using

σ = √σ²

This gives

σ = √0.0004

Evaluate

σ = 0.02

Calculate the z-score at x = 0.84 using

z = (x - [tex]\bar x[/tex])/σ

This gives

z = (0.84 - 0.8)/0.02

Evaluate

z = 2

The probability is then represented as:

P(x > 0.84) = P(z > 2)

Next, we look up the value of the z table of probabilities

From the z table of probabilities, we have:

P(x > 0.84) = 0.977

Hence, the probability that the diameter of a randomly selected pipe will exceed 0.84 inch is 0.977

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Andy needs to subtract cost from the service revenue.

Revenue is the total income earned before any deductions are made. Net income is the total revenue less total expenses or cost.

Net income = total revenue - cost

For example, if a company sold 100 loaves of bread for $100 dollars. The cost of making the bread is $50. The revenue is $100 and the net income is $50 (100 - 50).

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Answer:

t >= [tex]\frac{25}{3}[/tex] or 8.33333333333

Step-by-step explanation:

We need to set up an inequality where demand is less than or equal to 0. The inequality looks like this:

50 - 6t <= 0

50 <= 6t

t >= [tex]\frac{25}{3}[/tex] or 8.33333333333

If $11,000 is invested, $33,000 is the value of the investment at the end of 25 years if the interest is 8% simple interest and $75,333.23 is the value of the investment at the end of 25 years if the interest is 8% compounded annually. This can be obtained by using formulas for simple interest and compound interest.

A = P(1 +Rt/100) , P = principle amount ,R = rate of interest, t = time(in years)

A = P(1 + R/100)^t , P = principal amount, R = rate of interest,                                t = time(in years)

Given that,  

P = $11,000 , R = 8%,  t = 25 years

A = P(1 +Rt/100) = [tex]11000(1+\frac{(8)(25)}{100} )[/tex] = $33,000

A = P(1 + R/100)^t = [tex]11000(1+\frac{8}{100} )^{25}[/tex] = [tex]11000(1.08 )^{25}[/tex] = $75,333.23

Hence If $11,000 is invested, $33,000 is the value of the investment at the end of 25 years if the interest is 8% simple interest and $75,333.23 is the value of the investment at the end of 25 years if the interest is 8% compounded annually.

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Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: If $11,000 is invested in an account for 25 years. Find the value of the investment at the end of 25 years if the interest is:

(a) 8% simple interest

(b) 8% compounded annually

The value of the expression for the given values of the variables is 1/9

From the question, we are to determine the value of the expression for the given values of the variables

The given expression is

[tex](\frac{4x^{3} -2y-2z^{3} }{4y^{2}-16x^{2} }) ^{2}[/tex]

From the given information,

x = 2

y = -5

z = 3

Putting the values of the variables into the expression

[tex](\frac{4(2)^{3} -2(-5)-2(3)^{3} }{4(-5)^{2}-16(2)^{2} }) ^{2}[/tex]

[tex](\frac{4(8) +10-2(27) }{4(25)-16(4) }) ^{2}[/tex]

[tex](\frac{32 +10-54 }{100-64 }) ^{2}[/tex]

[tex](\frac{-12 }{36 }) ^{2}[/tex]

[tex](\frac{-1 }{3 }) ^{2}[/tex]

[tex]= \frac{1}{9}[/tex]

Hence, the value of the expression for the given values of the variables is 1/9

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Answer:

B. ABCD is a trapezoid because it has at least

one pair of parallel sides.  

Step-by-step explanation:

the two points A(-3,-1) and D(5,-1) have the same y-coordinates

Then

The line AD is parallel to the x-axis

On the other hand,

the two points B(1,5) and C(5,5) have the same y-coordinates

Then

The line BC is parallel to the x-axis.

We obtain :

• AD is parallel to the x-axis

• BC is parallel to the x-axis.

Therefore

AD // BC

Conclusion:

ABCD is a trapezoid because it has at least

one pair of parallel sides. 

Answer:

b

Step-by-step explanation:

plato

Answer:

y = (-3/4)x + 2

Step-by-step explanation:

y = m * x + b   where m is the slope and b is the y-intercept

y = (-3/4)x + b       substituting the slope

4 = 6 + b     =>         b = 2        substituting the point given

y = (-3/4)x + 2

Step-by-step explanation:

OK, let's assume it this way:

Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!

Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!=(2.1!-1!)+(3.2!-2!)+(4.3!-3!)+...+((n-1)n!-n!)=(2!-1!)+(3!-2!)+(4!-3!)+

Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!=(2.1!-1!)+(3.2!-2!)+(4.3!-3!)+...+((n-1)n!-n!)=(2!-1!)+(3!-2!)+(4!-3!)+...+(n+1)!-n!=(n+1)!-1!=(n+1)!-1

and boom problem solved

Answer:

y = 2

Step-by-step explanation:

Algebraic Equation is an equation where alphabets are used to represent numbers.

Solving the above question,

Let the number = y

Therefore,

Sum of the number = y + 3

If it's subtracted from 10 it becomes

10 - ( y + 3 )

The result : 10 - y - 3 = 5

- y = 5 - 10 + 3

- y = -2

Therefore,

y = 2

The graph shows the comparison of the human welfare and ecological footprints.

A graph simply means a diagram that shows the relationship between variables.

From the graph, it can be seen that countries such as Norway, Canada, USA, and Australia meet the minimum criteria for sustainability.

The graph also shows that Sierra Leone is the least developed country among the countries compared as it has the lowest human development index.

The threshold for high human development as given as 0.8. Most African countries had a human development index of 0.5 and below.

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Answer: The function is odd because f(–x) = –f(x).

Step-by-step explanation:

[tex]f(x)=6x^7\\\\f(-x)=6(-x)^7 = -6x^7\\\\\therefore f(x)=-f(-x)[/tex]

The function is odd because f(–x) = –f(x).

The function is given as:

f(x) = 6x^7

A function is odd if the following is true

f(-x) = -f(x)

Calculate f(-x)

f(-x) = 6(-x)^7

f(-x) = -6x^7

Calculate -f(x)

-f(x) = -6x^7

By comparison;

f(-x) = -f(x) = -6x^7

Hence, the function is odd because f(–x) = –f(x).

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The probability that the mean fill is more than 84.8 ounces is 0.39358

From the question, the given parameters about the distribution are

The z-score of the data value is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the given parameters in the above equation

z = (84.8 - 84.5)/1.1

Evaluate the difference of 84.8 and 84.5

z = 0.3/1.1

Evaluate the quotient of 0.3 and 1.1

z = 0.27

The probability that the mean fill is more than 84.8 ounces is then calculated as:

P(x > 84.8) = P(z > 0.27)

From the z table of probabilities, we have;

P(x > 84.8) = 0.39358

Hence, the probability that the mean fill is more than 84.8 ounces is 0.39358

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Answer:

Jiri is 25 years old.

Step-by-step explanation:

1)Pamela =Jiri-9 ( Pamela is 9 years younger than Jiri)

2)Pamela +Jiri=41

Substitute equation 1 into equation 2

(J-9)+J= 41

2J-9=41

Add 9 to both sides:

2J=41+9

Divide by 2:

2J=50

J=25

the required Jiri's age is 25 years.

Pamela is 9 years younger than Jiri and the sum of their ages is 41. What is Jiri's age is to be determined.

In mathematics, it deals with numbers of operations according to the statements.

Let the age of Pamela and Jiri is x and y respectively
Pamela is 9 years younger than Jiri. so,
y = x + 9   - - - - (1)
the sum of their ages is 41
x +  y = 41  - - - - (2)

From equation 1 put y in equation 2
x + x + 9 = 41
2x + 9 = 41
2x = 41 - 9
2x = 32
x = 32/2
x = 16
Now put this x =16 in equation 1
y = 16 + 9
y = 25

Thus, the required Jiri age is 25 years

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Based on the equation of the function of the height of the building, it takes the man 44.7 seconds to fall from the top

The function of the height where the man falls is a quadratic function, and the equation of the function is given as:

d = t^2 * 0.25

The height of the building is 500

This means that the value of d is 500.

So, we have;

d = 500

Substitute 500 for d in the equation d = t^2 * 0.25

500 = t^2 * 0.25

Divide both sides of the above equation by 0.25

500/0.25 = t^2 * 0.25/0.25

Evaluate the quotient in the above equation

t^2 = 2000

Take the square root of both sides in the above equation

√t^2 = √2000

Evaluate the exponent

t = 44.7

Hence, it takes the man 44.7 seconds to fall

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[tex]\textbf{Heya !}[/tex]

✏[tex]\bigstar\textsf{Given:-}[/tex]✏

✏[tex]\bigstar\textsf{To\quad find:-}[/tex]

✏[tex]\bigstar\textsf{Solution \quad steps:-}[/tex] ✏

first use the distributive property

[tex]\sf{\longmapsto{ 5x+5=5x}[/tex]

subtract both sides  by 5x

[tex]\sf{\longmapsto{0x+5=0}[/tex] (strange expression right)

[tex]\sf{\longmapsto 0=-5}[/tex] (whattt ?!)

the above statement's false, so the equation has no solutions

`hope that was helpful to u ~

The area of the poster is  28.75 feet square.

Note that the area of a rectangle is given as;

Area = length × width

Length = 11. 5 feet

Width = 2. 5 feet

Area = 11. 5 × 2. 5

Area = 28. 75 feet square

Thus, the area of the poster is  28.75 feet square.

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Using the z-distribution, the z-statistic would be given as follows:

c) z = -2.63.

At the null hypothesis we test if the means are equal, hence:

[tex]H_0: \mu_D - \mu_C = 0[/tex]

At the alternative hypothesis, it is tested if they are different, hence:

[tex]H_1: \mu_D - \mu_C \neq 0[/tex]

For each sample, they are given as follows:

Hence, for the distribution of differences, they are given by:

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

[tex]z = \frac{-2 - 0}{0.76}[/tex]

z = -2.63.

Hence option B is correct.

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The point of intersection for the pair of linear equations is (-5.5, -4.8)

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

The pair of linear equations is given as:

x + y = 0.7

y = 3x + 11.7

Substitute y = 3x + 11.7 in x + y = 0.7

x + 3x + 11.7 = 0.7

Evaluate the like terms

2x = -11

Divide both sides by 2

x = -5.5

Substitute x = -5.5 in y = 3x + 11.7

y = 3*-5.5 + 11.7

Evaluate

y = -4.8

So, we have

x = -5.5 and y = -4.8

Express the above points as an ordered pair, to determine the point of intersection

(x, y) = (-5.5, -4.8)

Hence, the point of intersection for the pair of linear equations is (-5.5, -4.8)

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Answer: [tex]f(x)=\begin{cases} x^2 +4, x < 3 \\ -x+4, x \geq 3 \end{cases}[/tex]

Step-by-step explanation:

By inspection, we know the equation of the parabola is [tex]y=x^2 +4[/tex] and the equation of the line is [tex]y=-x+4[/tex].

Since there is an open hole at x=3 for the parabola and a closed hole at x=3 for the line, the function is

[tex]f(x)=\begin{cases} x^2 +4, x < 3 \\ -x+4, x \geq 3 \end{cases}[/tex]

The non response bias can happen  if the chosen sample is too small for a study.

This is the term that is used to refer to the type of bias that happens in a research study because the some of the study participants could not participate in the study.

This type of bias is a very serious matter of concern while carrying out research.

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Answer:

y = 6

Step-by-step explanation:

   3x + y = 9 ---------------(I)

          y = -4x + 10 -----------------(II)

Substitute y = -4x + 10 in equation (I)

  3x - 4x + 10 = 9

Combine like terms,

        -x + 10  = 9

Subtract 10 from both sides. (subtraction property of equality)

               -x  = 9 - 10

              -x = -1

Divide both sides by (-1).  {Division property of equality}

              [tex]\sf \dfrac{-x}{-1}=\dfrac{-1}{-1}\\\\ \boxed{x = 1}[/tex]

Now, substitute x = 1 in equation (II) and find the value of y.

        y = -4*1 + 10

          = -4 + 10

       [tex]\sf \boxed{\bf y = 6}[/tex]