Use the graph to answer the question.

graph of polygon ABCD with vertices at 1 comma 5, 3 comma 1, 7 comma 1, 5 comma 5 and a second polygon A prime B prime C prime D prime with vertices at 8 comma 5, 10 comma 1, 14 comma 1, 12 comma 5

Determine the translation used to create the image.

7 units to the right
7 units to the left
3 units to the right
3 units to the left

Answer:

Correct choice is C

Answer:

20%

Step-by-step explanation:

The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:

P(red) = number of red marbles / total number of marbles

P(red) = 5 / (5 + 8 + 12)

P(red) = 5 / 25

P(red) = 0.2

So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).

A rectangular fraction model can be drawn based on this idea: Annie had a total of cookies 20 but she gave 9 cookies to her friends, how many cookies does she have?

A rectangular fraction model refers to using a rectangle and dividing it to represent and understand fractions. This might be easier than representing fractions by only using numbers.

The first step is to think about a possible situation or word problem. After this, you can draw the fraction model. For example:

For this, divide a rectangle in the total of parts (20) and color the total of parts that Annie has (11). This means the total of cookies she has is 11/20.

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The probability that each bill is a $1 bill is given as follows:

1/16.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The bills are replaced, hence we consider that for each trial, there is a 1/4 probability of selecting a $1 bill, as one out of the four bills are of $1.

Hence the probability that each bill is a $1 bill is obtained as follows:

p = 1/4 x 1/4

p = 1/16.

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Given

Find

Length of BC

Explanation

here , the right angle triangle is given , so we apply pythagoras theorem ,

SO ,

Final Answer

Hence , the correct option is A.

Answer:

Step-by-step explanation:

Given that:

population mean \(\mu\) = 47600

population standard deviation \(\sigma\) = 2000

sample size n = 49

Sample mean \(\over\ x\) = 48000

Level of significance = 0.05

The null and the alternative hypothesis can be computed as follows;

\(H_0 : \mu = 47600 \\ \\ H_1 : \mu \neq 47600\)

Using the table of standard normal distribution, the value of z that corresponds to the two-tailed probability 0.05 is 1.96. Thus, we will reject the null hypothesis if the value of the test statistics is less than -1.96 or more than 1.96.

The test statistics can be calculated by using the formula:

\(z= \dfrac{\overline X - \mu }{\dfrac{\sigma}{ \sqrt{n}}}\)

\(z= \dfrac{ 48000-47600 }{\dfrac{2000}{ \sqrt{49}}}\)

\(z= \dfrac{400 }{\dfrac{2000}{ 7}}\)

\(z= 1.4\)

Conclusion:

Since 1.4 is lesser  than 1.96 , we fail to reject the null hypothesis and  that there is insufficient information to conclude that the   mean gross income is not equal to $47600

The P-value is being calculate as follows:

P -value = 2P(Z>1.4)

P -value =  2 (1 - P(Z< 1.4)

P-value = 2 ( 1 - 0.91924)

P -value = 2 (0.08076 )

P -value = 0.16152

Part (a)

\(v=22(3)^{d/10}\)

Part (b)

We can rewrite the function as \(v=22(3^d)(3^{1/10})\). Thus, the percentage is \(100(1-3^{1/10})=11.6\%\)

A model for the number of views, v, as a function of the number of days, d, since there were 22 views is \(v = 22(3)^{d/10}\) and the views increasing per day by 11.6%.

Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function.

Given that, The total views of an online video are tripling every ten days. Initially there are 22 views of the video, v represents the number of views and d represents days

a) Since the number of views are tripling every ten days, so, the function will be =  \(v = 22(3)^{d/10}\)

b) We have function \(v = 22(3)^{d/10}\)

So, percentage = \(100(1-3^{1/10})\) = 11.6%

Hence, A model for the number of views, v, as a function of the number of days, d, since there were 22 views is \(v = 22(3)^{d/10}\) and the views increasing per day by 11.6%.

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b. four fifths plus two fourths

Step-by-step explanation: Change the fractions to their equivalents in 20ths-- like finding the common denominator.

Divide the original denominator into 20, then multiply the result by the original numerator to get the new numerator.

4/5  20/5 = 4    4×4 = 16   so 4/5 is equivalent to 16/20

2/4   20/4 = 5    5×2 = 10   so  2/4 is equivalent to 10/20  

Add:    16/20 + 10/20 = 26/20

brainliest me

28 years

Step-by-step explanation:

The dog is twice as old as the cat

The monkey is twice as old as the dog.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Their total age is 4 years 2 months.

1 year has 12 months

=> 4 years have (4 × 12)

= 48 months

Since, the total age is 4 years 2 months, we can express it in "months" by adding "48" and "2".

= 50 months

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Sum of their ages = 50 months

=> x + 2x + 4x = 50

=> 7x = 50

=>x = 50/ 7 months

If we write this in mixed fractions the whole number will represent the number of years.

=

\( \mathsf{7 \frac{1}{7} \: \: months}\)

\( = \mathsf{7 \: years \: \frac{1}{7} \: \: months}\)

The value of 1/ 7 is really small,I.e., 0.1428...

So, we can ignore the fraction while rounding off the term that makes it

\( \mathsf{x = 7yrs.(approx.)}\)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

x is the age of the cat.

The monkey's age is "4x"

= 4 × 7

= 28 years.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

So, the monkey's age is approximately 28 years

Answer:

It's (1/2 , 1/2)

Step-by-step explanation:

The required coordinate of point B is given as (x + 1 1/2) and (y + 1 1/2).

Given that,
Ronda graphs point B in Quadrant | on the coordinate plane so that point B is 1 1/2 units away from point A.

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

Here,
Let the coordinate of the point A be (x, y)
According to the given condition,
Coordinate of the B is given as,
B = [x + 1 1/2] , [y + 1 1 /2]

Thus, the required coordinate of point B is given as (x + 1 1/2) and (y + 1 1/2).

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Answer:

28.6 grams

Step-by-step explanation:

Percentage of cocoa in the chocolate bar = 54%

Weight of the chocolate = 53 grams

Weight of the cocoa = 54% of 53 = 28.62 grams

Rounding off to nearest tenth = 30 grams

A. The distributions of the periods is that using the five number summary is that

B. The box and whisker plot of the periods is attached

From the question, we have the following parameters that can be used in our computation:

7th Period

66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96

3rd Period

52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97

The distributions of the periods will be compared using the five-number summaries

Using a graphing tool, the five-number summaries are:

7th Period

3rd Period

The box and whisker plot of the periods is added as an attachment

From the box and whisker plot attached, we can see the five-number summaries of the periods

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Since angle Cita lies on the 2nd quadrant, then

The value of tan Cita is negative

Let us use the identites

Since sin Cita = 4/5, then substitute it in (1)

Subtract 16/25 from each side

Take a square root for both sides

Since Cita lies in the 2nd quadrant, then its cosine is negative

Now, use identity (2) to find tan Cita

The answer is

tan Cita = -4/3

Answer:

Step-by-step explanation:

Describe a functiDescribe a function that takes an input, adds 2, and then multiplies by 4on that takes aDescribe a function that takes an input, adds 2, and then multiplies by 4n inpDescribe a function that takes an input, adds 2, and then multiplies by 4ut, adds 2, and then multiplies by 4

The area of the park is 12 square units.

To find the area of the park, we can use the Shoelace Formula (also known as Gauss's area formula). This formula allows us to calculate the area of any polygon given the coordinates of its vertices.

The Shoelace Formula states that if we have the coordinates of the vertices of a polygon in counterclockwise order (x₁, y₁), (x₂, y₂), ..., (xn, yn), then the area (A) of the polygon is given by:

A = 1/2 × |(x₁y₂ + x₂y₃ + ... + xn-1yn + xny₁) - (y₁x₂ + y₂x₃ + ... + yn-1xn + ynx₁)|

In our case, the coordinates of the park's vertices are (-9, -9), (-3, -9), and (-6, -5). Let's calculate the area using the Shoelace Formula:

A = 1/2 × |(-9 × -9 + -3 × -5 + -6 * -9) - (-9 × -3 + -9 × -6 + -5 × -9)|

Simplifying further:

A = 1/2 × |(81 + 15 + 54) - (27 + 54 + 45)|

A = 1/2 × |150 - 126|

A = 1/2 × |24|

A = 12

Therefore, the area of the park is 12 square units.

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Answer:

---------------------

Plot the given vertices and connect.

See attached.

Then add the height CD.

The base is AB, with the length:

The height is CD, with length:

Find the area using equation:

If you do in fact mean \(f(1)=f(6)=0\) (as opposed to one of these being the derivative of \(f\) at some point), then integrating twice gives

\(f''(x) = -\dfrac1{x^2}\)

\(f'(x) = \displaystyle -\int \frac{dx}{x^2} = \frac1x + C_1\)

\(f(x) = \displaystyle \int \left(\frac1x + C_1\right) \, dx = \ln|x| + C_1x + C_2\)

From the initial conditions, we find

\(f(1) = \ln|1| + C_1 + C_2 = 0 \implies C_1 + C_2 = 0\)

\(f(6) = \ln|6| + 6C_1 + C_2 = 0 \implies 6C_1 + C_2 = -\ln(6)\)

Eliminating \(C_2\), we get

\((C_1 + C_2) - (6C_1 + C_2) = 0 - (-\ln(6))\)

\(-5C_1 = \ln(6)\)

\(C_1 = -\dfrac{\ln(6)}5 = -\ln\left(\sqrt[5]{6}\right) \implies C_2 = \ln\left(\sqrt[5]{6}\right)\)

Then

\(\boxed{f(x) = \ln|x| - \ln\left(\sqrt[5]{6}\right)\,x + \ln\left(\sqrt[5]{6}\right)}\)

The volume of a box is the amount of space in the box

The dimensions that minimize the cost of the box is 4 in by 4 in  by 4 in

The dimensions of the box are:

Width = x

Depth = y

So, the volume (V) is:

\(V = x^2y\)

The volume is given as 64 cubic inches.

So, we have:

\(x^2y = 64\)

Make y the subject

\(y = \frac{64}{x^2}\)

The surface area of the box is calculated as:

\(A =x^2 + 4xy\)

The cost is:

\(C = 2x^2 + 4xy\) --- the base is twice as expensive as the sides

Substitute \(y = \frac{64}{x^2}\)

\(C = 2x^2 + 4x * \frac{64}{x^2}\)

\(C =2x^2 + \frac{256}{x}\)

Differentiate

\(C' =4x - \frac{256}{x^2}\)

Set to 0

\(4x - \frac{256}{x^2} = 0\)

Multiply through by x^2

\(4x^3 - 256= 0\)

Divide through by 4

\(x^3 - 64= 0\)

Add 64 to both sides

\(x^3 = 64\)

Take the cube roots of both sides

\(x = 4\)

Recall that:

\(y = \frac{64}{x^2}\)

So, we have:

\(y = \frac{64}{4^2}\)

\(y = 4\)

Hence, the dimensions that minimize the cost of the box is 4 in by 4 in  by 4 in

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The critical value is 9.925, rounded to three decimal places.

To calculate the critical value for a 99.9% confidence level with a sample size of 4, we will use the t-distribution, since the population standard deviation is unknown.

The t-distribution is used when the sample size is small (usually n < 30) and the population standard deviation is unknown.

First, find the degrees of freedom (df) for the t-distribution, which is equal to the sample size (n) minus 1:

Next, we need to find the critical value (t) that corresponds to a 99.9% confidence level (or a 0.999 probability) and 3 degrees of freedom. We will look this up in a t-distribution table or use a t-distribution calculator.

Using a t-distribution calculator or table, the t-score corresponding to a 99.9% confidence level (two-tailed) and 3 degrees of freedom is approximately 9.925.

So, the critical value is 9.925, rounded to three decimal places.

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The value of the underlined digit in the number 27,416,385.( 4 is the underlined number.) is the hundred thousandths place.

The symbols, from 0 to 9 can be described as a digit. For instance, the numbers 2 and 3 are used to represent the number 23.  however amount is represented by a number.

It should be noted that It may be expressed using one, two, three, or even more digits however only single symbol used to represent a number is a digit in the case above we can see that 4 is the hundred thousandths place.

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A variable in mathematics is a number that can change depending on the issue. Several mathematical statements and equations use the generic letters x, y, and z. In other words, a variable is a symbol that stands for an unknowable numeric value. Say that x Plus 5 equals 10. The "x" variable is used here.

The variable "model of car driven" is qualitative because it is an attribute characteristic. Qualitative variables are those that are not numerical in nature but rather represent characteristics or categories that can be observed or measured through attributes. In this case, the model of the car driven is a type of attribute that describes the make and model of the car, such as Honda Civic, Toyota Corolla, etc.

Therefore, option B is the correct answer.

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Optiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.

A qualitative variable is a type οf variable in statistics that describes a characteristic οr quality οf an οbject οr phenοmenοn. It is alsο called a categοrical variable, and it can be nοminal οr οrdinal. Nοminal variables have categοries that have nο inherent οrder, while οrdinal variables have categοries with a natural οrder οr ranking.

The variable "Mοdel οf car driven" is qualitative because it is an attribute characteristic. Qualitative variables are variables that are nοt numerical in nature but are based οn attributes οr characteristics. In this case, the mοdel οf the car driven is a categοrical variable that describes a particular characteristic οf the car, such as its make οr mοdel. This variable cannοt be measured quantitatively οr numerically, but rather it can be categοrized based οn specific attributes οr features.

Therefοre, οptiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.

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Answer:

What is the question? It is only showing the pictures.

Step-by-step explanation:

15 . x = 64

16. x = 24

17. x = 12

18. x =. 25

plz mark my answer as brainlist plzzzz.

Hope this will be helpful to you .

Answer:

when 2 lines intersect ,4 angles are formed.in that vertically opposite angles will be equal. adjacent angles will be found using linear pair{sum of linear pair of angles will be 180degree}.

Step-by-step explanation:

because

Answer:

(1/4)³

Step-by-step explanation:

Hope it helps you

Answer:

\(\frac{1}{64}\)

Step-by-step explanation:

Negative exponents means you bring the base to the denominator, which becomes a fraction.

\(4^{-3} \\=\frac{1}{4^{3}}\)

The question wants us to write without an exponent.

The \(4^{3} = 4 * 4* 4=64\)

So, it becomes:

\(\frac{1}{64}\)

Answer

24*9= the answer

Step-by-step explanation:

Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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Step-by-step explanation:

to\(3w - 7 = \sqrt{8w - 7} \\ {(3w - 7)}^{2} = ({ \sqrt{8w - 7} })^{2} \\ 9 {w}^{2} - 42w + 49 = 8w - 7 \\ 9 { w}^{2} - 42w - 8w + 49 + 7 = 0 \\ 9 {w}^{2} - 50w + 56 = 0 \\ (9w - 14)(w - 4) = 0 \\ w = \frac{14}{9} \: or \: w = 4\)

to make sure the answer

substitute w = 14/9 and w = 4 to the equation.

if w = 14/9

\(3w - 7 = \sqrt{8 w - 7} \\ 3 \times \frac{14}{9} - 7 = \sqrt{8 \times \frac{14}{9} - 7} \\ - \frac{ 7}{3} = \frac{7}{3} \)

we know that if we substitute w = 14/9, the answer is not the same.

if w = 4

\(3w - 7 = \sqrt{ 8 w - 7 } \\ 3 \times 4 - 7 = \sqrt{8 \times 4 - 7} \\ 5 = 5\)

if we substitute w = 4 the answer is the same.. we can conclude the the answer of 3w - 7 = √8w - 4 is 4

The correct entry to replenish the petty cash fund would be:

Debit Cash for $418.

Debit Cash Over and Short for $10.00.

Debit Petty Cash for $427.50.

Credit Cash for $427.50.

Credit Cash Over and Short for $10.00.

The entry reflects the reimbursement of the petty cash fund with $427.50 in receipts. The discrepancy of $10.00, represented by the debit to Cash Over and Short, indicates that the actual cash on hand is $10.00 less than the established petty cash fund.

By debiting Petty Cash and crediting Cash, the petty cash fund is replenished to its original amount of $525. The credit to Cash Over and Short for $10.00 accounts for the shortage.

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9514 1404 393

Answer:

Step-by-step explanation:

The area of a square is the square of the side length. Then the side length is the square root of the area.