Identify the type of transformation.

The balance of jane at the end of the month is $9,348.24

Why not explain interest?

The fee you pay to borrow money or the fee you charge to lend money is called interest. The most common way to represent interest is as an annual percentage of the loan amount. The interest rate on the loan is this proportion.

At the beginning of the December balance was $8,421.89

She deposited totally $3,721.33
So the balance now is $12,143.22

Now she wrote checks of totaling amount $2,794.43

So now her balance is $9,348.79

Now she paid maintenance fee of $14

So now her balance is $ 9,334.79

Now she  earned $13.45 in interest on the account

So now her balance is $9,348.24

Hence, The balance of jane at the end of the month is $9,348.24

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The 90% confidence interval for the true difference between the proportions of rural and city voters who favor gun control is of:

(0.11, 0.346).

For each sample, the proportion and the standard error are given as follows:

Hence the mean and the standard error for the distribution of differences is given by:

The bounds of the confidence interval are given by the rule defined as follows:

p ± zs

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

Then the bounds of the interval are obtained as follows:

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In regression analysis , the error term ε is a random variable with expected value of 0.

What is regression analysis?

A set of statistical procedures known as regression analysis is used to estimate the relationships between a dependent variable and one or more independent variables.

Main Body:

In regression analysis, the model in the form is called regression model.

The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, E(y) = β0 + β1x, is known as regression equation.

So the answer  to error term is 0.

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Answer:

(- 4, 29 ) and ( [tex]\frac{1}{2}[/tex], - [tex]\frac{5}{2}[/tex] )

Step-by-step explanation:

7x + y = 1 ( subtract 7x from both sides )

y = 1 - 7x → (1)

2x² - y = 3 → (2)

substitute y = 1 - 7x into (2)

2x² - (1 - 7x) = 3

2x² - 1 + 7x = 3

2x² + 7x - 1 = 3 ( subtract 3 from both sides )

2x² + 7x - 4 = 0 ← in standard form

(x + 4)(2x - 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

substitute these values into (1) for corresponding values of y

x = - 4 : y = 1 - 7(- 4) = 1 + 28 = 29 ⇒ (- 4, 29 )

x = [tex]\frac{1}{2}[/tex] : y = 1 - 7([tex]\frac{1}{2}[/tex] ) = 1 - [tex]\frac{7}{2}[/tex] = - [tex]\frac{5}{2}[/tex] ⇒ ([tex]\frac{1}{2}[/tex], - [tex]\frac{5}{2}[/tex] )

The value of the given inequality mode function |2x + 4| ≥ 5 will be x  ≥ 1/2 and x ≤ -4.5.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given mode function,

|2x + 4| ≥ 5

For 2x + 4 > 0 or x > -2

2x + 4  ≥ 5

2x  ≥ 1

x  ≥ 1/2

For 2x + 4 < 0 or x < -2

-(2x + 4) ≥ 5

2x + 4 ≤ -5

2x ≤ -9

x ≤ -9/2

x ≤ -4.5

Hence "The value of the given inequality mode function |2x + 4| ≥ 5 will be x  ≥ 1/2 and x ≤ -4.5".

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Answer:

A= 115 degrees.

B= 45 degrees.

C= 115 degrees.

D= 115 degrees.

E= 110 degrees.

Tip: Angles opposite each other- like C and D- are going to be equal.

Step-by-step explanation:

For given logarithmic equation. 5 = log_0.9(0.59049),  the exponential form is (0.9)^5 = 0.59049

We know that the definition of a logarithm to convert from the logarithmic form to the exponential form,

log_b(x) = a

⇒ b^a = x

Here, we need to write the exponential form of the logarithmic equation.

5 = log_0.9(0.59049)

Using the definition of a logarithm,

5 = log_0.9(0.59049)

⇒ (0.9)^5 = 0.59049

Therefore, the exponential form is (0.9)^5 = 0.59049

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Answer:

Hi, I don't mean to scam you out of points. But every method I use the answer is indeed 19. So im not sure what you mean by it isn't 19. is that the whole question?

1 ball and 3 board games can be chosen by Amanda in option E. 60 ways.

Here it is given that Amanda needs 1 ball and 3 board games.

The toy store only has 3 kinds of balls and 6 types of board games. Hence we will use combinations to determine the no. of ways she can choose the items

ⁿCₓ = n! / (n - r)! X r!

The ball can be chosen in

³C₁ ways

= 3! / 2! X 1!

= 6/2

= 3 ways

The board game can be chosen in  ⁶C₃ ways

= 6! / 3! X 3!

= 720 / 36

= 20 ways

Hence the total number of ways the items can be chosen is

3 X 20 ways

= E. 60 ways.

Complete Question

Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections of the 4 items can Amanda make?

A. 9

B. 12

C. 14

D. 15

E. 60

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The true statements about the slope are:

The graph that completes the question is added as an attachment'

From the question, we have

Slope of the trend line = 15

This can be represented as

Slope = 15

As a general rule

These mean that (a) and (e) are true options

Also, we have:

Slope = 15

Multiply by 1000

Value(1000) = 15 * 1000

Evaluate

Value(1000) = 15000

This means that sales increase $15,000 as ads increase by $1,000.

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Answer: Tim sent 25 text messages

Step-by-step explanation:

y=mx+c is being used

Since it increases by 0.15 each time so m=0.15 and the starting charge is 23.79 so c=23.79. We also know that his phone bill is 27.54 so y=27.54

Now this can be used to solve x

27.54 = 0.15x + 23.79

3.75 = 0.15x

25=x

The function y = 7|x + 1| - 5 can be written as a Piecewise Function as follows,

               7x + 2                for x > -1

y   =

              -7x - 12               for x < -1

Given, a function y = 7|x + 1| - 5

Now, we have to write the given function as a piecewise function

|x + 1| = (x + 1) for x > -1 and

|x + 1| = - (x + 1) for x < -1

So, the given function can be written as a piecewise function

               7(x + 1) - 5                for x > -1

y   =

              -7(x + 1) - 5                for x < -1

On simplifying, we get

               7x + 2                for x > -1

y   =

              -7x - 12               for x < -1

Hence, the given function y = 7|x + 1| - 5 can be written as a Piecewise Function as follows,

               7x + 2                for x > -1

y   =

              -7x - 12               for x < -1

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The perimeter if ΔSTU is 64 units

What is perimeter ?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.

Perimeter of ΔPQR is 48 units

and PQ = 18 units

ΔPQR≅ ΔSTU ;

ST = 24 units

Then the[tex]\frac{Perimeter of PQR}{Perimeter of STU} = \frac{PQ}{ST}[/tex] formula is

Since ΔPQR ≅ ΔSTU

Putting the values the equation becomes

40 / Perimeter of ΔSTU = 18 / 24

40 / Perimeter of ΔSTU = 3 / 4

Perimeter of ΔSTU = 48 * 4/3

                               = 16 *4

                              = 64 units

The Perimeter of the ΔSTU is 64 units

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Answer:

y = -4x^2 - 40x - 103

Step-by-step explanation:

to get the standard form, you have to formulate the equation as

y = ax^2 + bx + c

we have to expand the (x+5)^2

y = -4((x+5)^2) - 3 = -4(x^2 + 10x + 25) - 3 = -4x^2 - 40x - 100 - 3 = -4x^2 - 40x - 103

Answer: Each person had 3.75 pounds of apples

Step-by-step explanation:

15= 4a (a=how many pounds of apples each person owns)

15/4=a

3.75=a

The formula for the final cost, in terms of the original price y, is:

c(y) = y*(0.88)*(1.03)

Let's define y as the original price of the DVD.

We first apply a discount of the 12% of the price, so the new cost will be:

c(y) = y*(1 - 12%/100%)

c(y) = y*(1 - 0.12)

Then we apply a tax of the 3%, this in increase, then we can write this as:

c(y) = y*(1 - 0.12)*(1 + 3%/100%)

c(y) = y*(1 - 0.12)*(1  + 0.03)

c(y) = y*(0.88)*(1.03)

That is the formula that we could use to determine the final cost.

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Answer:

42

Step-by-step explanation:

[tex]\frac{eraser}{cost}[/tex] = [tex]\frac{eraser}{cost}[/tex]  Fill in what you know and solve for the unknown

[tex]\frac{6}{7}[/tex] = [tex]\frac{x}{49}[/tex]   7 x 7 is 49.  Multiply 6 by 7 to find the unknown.  42

The 99% confidence interval for the population proportion of printers that are used in small businesses is 0.150<p<0.674.

Do we use the sample size or do we use X two to get to 35? We visited 30 places. We are trying to locate the B hats that X gave us. Over 35, we are tested. Our margin of error is 7.751 over two, which is the same as the confidence interval. This gives us seven points. 258 were present. Since our alpha is 1 – 0.9 and they will want us, we wish to find that critical that is set out for two. We get 6 now they have provided us with a minimal sample size, apologize. Is it finished? If you will, visualizeus tying our p hats without the p hat on one. Yes, indeed. We get 1.645 over.

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Answer:

1

Step-by-step explanation:

anything to the power of 0 is 1

Answer:

1

Step-by-step explanation:

The statements for which the converse statements are always true are given as follows:

For statement 1, the converse statement is:

If 2 angles are supplementary, then they form a straight angle.

Supplementary angles are angles whose measures add to 180º, and straight angles are angles with measure of 90º. The converse is false, as 100º and 80º, for example, are supplementary angles, but do not form a straight angle.

For statement 2, the converse statement is:

If the base angles of a triangle are congruent, then the triangle is isosceles.

This is true, because an equilateral triangle, in which all the angles of the triangle are congruent, is a special case of a isosceles triangle.

For statement 3, the converse statement is:

If a point lies on the perpendicular bisector of a segment, then it is equidistant from the 2 endpoints of the segment.

Which is true by the perpendicular bisector theorem.

For statement 4, the converse statement is:

If 2 angles are congruent, then they are vertical.

Which is false, as this is not necessarily true.

For statement 5, the converse statement is:

If 2 lines intersect to form 4 right angles, then they are perpendicular.​

Which is false, as this is not necessarily true.

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Answer:

The growth rate is 1.07%

Step-by-step explanation:

y=ab(to the power of x)

b is the growth/decay rate

b is 1.07% here

Answer:

7%

Step-by-step explanation:

The population of ants in the colony can be represented by the function f(t) = 1400(1.07)

Function = 1400( 1 + 7%)

= 1400(1 + 0.07)

= 1400(1.07)

Growth rate = 7%

After solving, the value of x is 8 and the value of y is 9.

In the given question,

We have to find the value of x and y.

It is also given that the given quadrilateral is a parallelogram.

Since the given quadrilateral is a parallelogram so the opposite sides and opposite angles are equal to each other.

So 4x−17=2x−1......................(1)

5y−13=3y+5...............(2)

Simplifying equation 1 to find the value of x

4x−17=2x−1

Add 17 on both side

4x−17+17=2x−1+17

Simplifying

4x=2x+16

Subtract 2x on both side

4x−2x=2x+16−2x

Simplifying

2x=16

Divide by 2 on both side

2/2 x = 16/2

x=8

Hence, the value of x is 8.

Now finding the value of y by solving the equation 2

5y−13=3y+5

Add 13 on both side

5y−13+13=3y+5+13

Simplifying

5y=3y+18

Subtract 3y on both side

5y−3y=3y+18−3y

2y=18

Divide by 2 on both side

2/2 y=18/2

y=9

Hence, the value of y is 9.

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One solution:
y = 3x+2
y=2x+4

No solution:
y=3x+2
y=3x+1

Infinitely:
y=2x+4
y=4x+8

Answer:

One solution: x + 3 = 2x

No solution: x + 3 = x

Infinitely many solutions: x + 3 = 2 ( 0.5x + 1.5 )

Step-by-step explanation:

1 ) x + 3 = 2x

x = 3

2 ) x + 3 = x

No Solution...

3 ) x + 3 = 2 ( 0.5x + 1.5 )

[tex]x[/tex] ∈ [tex]R[/tex]

Hope this helps! :)

The equation for the line of best fit where x represents the month and y represents the time is: y = −2.14x + 45.

In order to determine a linear equation of the line of best fit (trend line) that models the data points contained in the table, we would have to use a scatter plot.

In this scenario, the number of months would be plotted on the x-axis of the scatter plot while the time (minutes) would be plotted on the y-axis of the scatter plot.

On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the trend line on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the number of months and time in the table, a linear equation of the line of best fit is given by:

y = -2.14x + 45

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Answer:

The equation for the line of best fit where x represents the month and y represents the time is: y = −2.14x + 45.

Step-by-step explanation:

Answer:

[tex]-6\leq v\leq 3[/tex]

Step-by-step explanation:

I have attached a pdf of my work that explains how to solve this inequality pretty well.

The answer will be, at least as small as that provided by the sample using p-value.

What is the p-value?

Under the premise that the null hypothesis is true, the p-value in null-hypothesis significance testing represents the likelihood of receiving test findings that are at least as extreme as the result actually observed. A severe observed outcome would be highly improbable under the null hypothesis, according to a very small p-value. In academic papers of many quantitative fields, reporting the p-values of statistical tests is standard practice. Misuse of p-value is common and has been a big concern in metascience due to its difficult-to-understand precise meaning.

The probability that a population parameter in a particular statistical model will be less than a given value when the null hypothesis is true is known as the p-value,

And that is also known as a probability value or a measure of significance.

Hence the probability is, at least as small as that provided by the sample using p-value.

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Answer:

9/40 of the book was left to read

Step-by-step explanation:

Required to find the fraction of remainder of the book:

first we need to find the (LCM) lowest common multiple so both fractions can have common denominator in order to complete addition or subtraction.

[tex] \frac{3}{8 } + \frac{2}{5} [/tex]

Look at the denominators, we see there is 8 and 5 so that means we have to list the multiples of both numbers until a common is found.

multiples of:

8 = 8, 16, 24, 32, 40

5 = 5, 10, 15, 20, 25, 30, 35, 40

from this we can distinguish that the LCM is 40.

Next we need to multiply each numerator of the fraction by the number of times it took for the denominator to reach the LCM.

It took 8 five multiples to reach the LCM so therefore its new numerator will be 3×5 = 15

[tex] \frac{5}{8} to \: give \frac{15}{40} [/tex]

It took 5 eight multiples to reach the LCM so therefore its new numerator will be 2×8 = 16

[tex] \frac{2}{5} to \: give \: \frac{16}{40} [/tex]

finally we can add but values together and subract from the whole to find the remainder.

[tex] \frac{15}{40} + \frac{16}{40} = \frac{31}{40} [/tex]

in total she read 31/40 of the book.

[tex] \frac{40}{40} - \frac{31}{40} = \frac{9}{40} [/tex]

and the remainder which she did not read was 9/40

The story problem that would use this equation: y = 5x + 3 is the cost of a chair is 3 more than 5 times the cost of the table and the cost of the table is x.

The equation is given in the question:

y = 5x+3

To satisfy this equation, we would construct a story problem:

Robbin goes to buy a chair the last week.  Now, the cost of the table is x but the seller says that the cost of the chair he wants to buy is 3 more than 5 times the cost of the table.

Hence, the story problem that would use this equation: y = 5x + 3 is the cost of a chair is 3 more than 5 times the cost of the table and the cost of the table is x.

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The surface area of the cone in terms of [tex]\pi[/tex] is, [tex]95\pi cm^2[/tex].

What is cone?

A cone is a smooth-tapering three-dimensional geometric object with a flat base and an apex or vertex. The base of a cone is made up of all the points on a plane other than the apex, and the apex is connected to all the other points on the base by a series of line segments, half-lines, or lines.

In the given figure, the side length of cone is, 14 cm, and the diameter of the base is 10 cm.

As diameter is 10 cm then radius = 10/2 = 5 cm.

The surface area of the cone is.

SA = [tex]SA = \pi r^2 + \pi rl\\SA = \pi (5)^2+\pi (5)(14)\\SA = 25\pi + 70\pi \\SA = 95\pi cm^2[/tex]

Therefore, the surface area of the cone is, [tex]95\pi cm^2[/tex].

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Answer:

[tex]\frac{8}{6} = \frac{20}{15}[/tex]

Step-by-step explanation:

It appears that a is the missing value that needs to be solved. The equal sign means that the two values are equal to each other and the other not equal sign means that they don't equal each other.

Whenever dealing with two fractions that equal each other, you can use the fraction cross-product property, where you would multiply the numerator with the denominator and vice versa.

[tex]\frac{8}{a} = \frac{20}{15} \\\\8 \times 15 = 20 \times a\\\\120 = 20a\\\\a = 6[/tex]

So, the fraction would be

[tex]\frac{8}{6} = \frac{20}{15}[/tex]