What are the coordinates of the image of the point (1-, 2) under a dilation of 3 with the origin

The speed of car is found as : 1 of 1140 miles per minutes.

The total number of miles the car will travel in 20 minutes is: 1 / 50 miles.

The same attribute is expressed using a unit conversion, but in a diverse unit of measurement.

For e.g., time can be highlighted in minutes rather than hours, and distance can be verbalized in kilometers, feet, or another comparable measurement unit instead of miles.

Speed of car =  3 of 57 miles per hour.

Speed of car =  3 mi / 57 hr

We know, 1 hour = 60 minutes;

So,

Speed of car =  3 mi / 57*60 min

Speed of car =  1 mi / 57*20 min

Speed of car =  1 mi / 1140 min

Thus, the speed of car is found as : 1 of 1140 miles per minutes.

In 20 minute:

Number of miles = 1 mi / 1140 min * 20 min

Number of miles = 20 / 1140 min

Number of miles = 1 / 50 miles

Thus, the total number of miles the car will travel in 20 minutes is: 1 / 50 miles.

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Answer:

Mark!

Step-by-step explanation:

say you have 20 cookies, Mark ate on fifth so that would be 4, bringing him with 16 left

Chris ate 1/4 which would be 5, he would have 15 left

Answer:

plz mark brainliest

Answer:12345678910

Step-by-step explanation:

The dimensions of the rectangle that will allow for the most economical fence to be built is 50 feet and 25 feet in length and width respectively.

Given in the question,

Area = 1250 ft²

The three sides cost $3 per foot, and the fourth side costs $9 per foot.

Let x and y be the length and width of the rectangle.

Because the area is 1250 ft², therefore

xy = 1250, or

y = 1250/x            

Case 1: Three sides are (x,y,x) and the 4-th side is y.

The cost is

C = 3(2x +y) + 9y

  = 6x + 12y

  = 6x + 12(1250/x)

  = 6x + 15000/x

For C to be minimum, C' = 0. That is

6 - 15000/x² = 0

x² = 15000/6

x =  50 ft, y = 1250/50 = 25 ft

C = 6(50) + 15000/(50²) = $600

Case 2: Three sides are (y,x,y) and the 4-th side is x.

The cost is

C = 3(x + 2y) + 9x

   = 12x + 6y

   = 12x + 6(1250/x)

   = 12x + 7500/x

For C to be minimum, C' = 0.

12 - 7500/x² = 0

x² = 7500/12 = 625

x = 25 ft, y = 50ft

C = 12(25) + 7500/25 = $600

Thus, the Dimensions will be 25 feet and 50 feet.

Question:

A fence is to be built to enclose a rectangular area of 1250 square feet. the fence along three sides is to be made of material that costs ​$3 per foot. the material for the fourth side costs ​$9 per foot. find the dimensions of the rectangle that will allow for the most economical fence to be built.

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The probability that a person has a positive rh factor given that he/she has type O blood is approximately 82.2 %

For two events A and B:

The chain rule states that the probability that A and B both occur is given by:

\(P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)\)

Suppose two dimensions are there, viz X and Y. Some values of X are there as \(X_1, X_2, ... , X_n\) and some values of Y are there as \(Y_1, Y_2, ... , Y_n\)

List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of  \(X_i\) and \(Y_j\) (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

\(\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}\)

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

The missing two-way table for this problem is given below:

\(\begin{array}{cccccc}&A&B&AB&O&\rm Total\\\text{Negative}&0.07&0.02&0.01&0.08&0.18\\\text{Positive}{&0.33&0.09&0.03&0.37&0.82\\\rm Total & 0.40&0.11&0.04&0.45&1 \end{array}\)

Instead of frequencies, it contains ratio of frequency to total count of people surveyed (thus, relative frequency).

We want the probability that a person has a positive rh factor given that he/she has type O blood.

If we take:

E = event that a random person chosen has a positive rh factor

and F = event that a random person chosen has type O blood

Then, the needed probability is written symbolically as:

P(E|F).

Using the considered two-way table and the chain rule, we get this probability as:

\(P(E|F) = \dfrac{P(E \cap F)}{P(F)} = \dfrac{n(E \cap F)/ n(Total)}{n(F)/n(Total)}\)

Since the two way table consists relative frequency with total count, so, we get:

\(n(E \cap F)/n(Total) = 0.37\\n(F)/n(Total) = 0.45\)

\(P(E|F) = \dfrac{n(E \cap F)/ n(Total)}{n(F)/n(Total)} = \dfrac{0.37}{0.45} \approx 0.822 = 82.2\%\)

Thus, the probability that a person has a positive rh factor given that he/she has type O blood is approximately 82.2 %

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Answer:

The answers will be

The probability that a person has a positive Rh factor given that he/she has type O blood is 82 percent.There is a greater probability for a person to have a positive Rh factor given type A blood than a person to have a positive Rh factor given type O blood.

Step-by-step explanation:

Hope this help!

The marginal cost of producing one more unit of the product when x = 100 is $150 per unit. To find the instantaneous rate of change (or the marginal cost) of c with respect to x when x = 100, we need to calculate the derivative of the cost function c(x) with respect to x and evaluate it at x = 100.

Let's assume that we have the cost function c(x) = 0.5x^2 + 50x + 1000, where x is the number of units produced. To find the derivative of this function, we need to use the power rule of differentiation, which states that if f(x) = x^n, then f'(x) = nx^(n-1). Applying this rule to our cost function, we get:

c'(x) = d/dx (0.5x^2 + 50x + 1000)
     = 1x^(2-1) + 50x^(1-1) + 0
     = x + 50

Now, we can evaluate this derivative at x = 100 to find the marginal cost:

c'(100) = 100 + 50
       = 150

Therefore, the marginal cost of producing one more unit of the product when x = 100 is $150 per unit. This means that if the company produces one more unit of the product, it will cost them $150 more than the cost of producing the previous unit. The significance of the marginal cost will be explained in a future chapter, but for now, it is important to understand that it is a crucial concept in economics and business decision-making.

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The correct option is 6.82; the value of C on the number line is 6.82.

A number line is a straight line to numbers positioned at equal intervals or sections along its length in mathematics.

For, the given number line in the question;

As, the point C is situated between the points 6.8 and 6.9; thus the value of point C must lie in between these two values.

Thus, the only option which shows this condition is 6.82.

Therefore, the value point C on the number line is 6.82.

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We have a sample of x=weights with the following data:

• Min = 107

• Q1(x) = 197

• Median(x) = 264

• Q3(x) = 312

• Max(x) = 426

1) The percent of the chicks weight more than 197, this is the value of the Q1. The quartile 1 represent the value of x that the 25% of the sample has a value less o equal to that.

So the percent of chicks that have a weight greater than 197 is 75%.

2) For the weight more than 264, correspond to the Median, so the 50% of sample has a weight lower or equal 264, and the other 50% has a weight greater or equal to 264.

So, the percent is 50%.

3) The weight of 312 correspond with Q3, so the 75% of the sample has a weight less or equal to 312, and the other 35% has a weight greater than 312.

So, the percent is 25%.

4) The weigth are the percentil Q1 and Q3, respectively. So the percent of chicks that have a weigth between 197 and 312 is 75%-25% = 50%

Answer: 6.7 units for the diagonal from J to L

Step-by-step explanation:

you can use the Pythagorean theorem to find the diagonal (hypotenuse)

a^2 + b^2 = c^2

by counting units from M to J you have a length of 3 for the "a" value

by counting units from M to L you have a length of 6 for the "b" value

3^2 + 6^2 = c^2

9 + 36 = c^2

45 = c^2

take square root of both sides

6.7 = c

the diagonal is 6.7 units

The function rule that describes the translation will be T(x + 1, y - 9). Then the correct option is A.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

A square on a coordinate plane is translated 9 units down and 1 unit to the right.

If the translate rightward by c then the coordinate will be (x + c, y)

If the translate downward by d then the coordinate will be (x + c, y - d)

Then the function rule that describes the translation will be T(x + 1, y - 9).

Then the correct option is A.

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WA possible solution to uniquely determine U1 and q could be to assume that U1, U2 and U3 are consecutive in a geometric sequence, we will use the formula for the nth term of a geometric sequence to find U1 and q:

We can substitute this expression for U2 in terms of U1 into the formula for the nth term:

Rearranging and using the equation from earlier:

Substituting the expression for U1:

Multiplying both sides by q:

Rearranging and factoring:

Dividing both sides by 2q:

Using the quadratic formula:

The two possible values for q are 3/4 and -3/2. We can use either one to find U1:

If q = -3/2, then U1 = -4/3.

Therefore, one possible solution is U1 = 10 and q = 3/4, and another possible solution is U1 = -4/3 and q = -3/2.

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Answer:

I can't really see because it's blurry but if you're solving for x then...

x=13

Step-by-step explanation:

77+90+x=180

167+x=180

-167 -167

x=13

Answer:

x = 13 The points you gave are enough.

Step-by-step explanation:

FGD and 77 are complementary    Added together they equal 90 degrees.

<FGD = 90 - 77

<FGD = 13

<FGD and x are vertically opposite angles.

Vertically opposite angles are equal.

x = 13

Answer:

Step-by-step explanation:

Calculate fraction of boys

If girls =3/5, then boys = 1 - 3/5 = 2/5.

Calculate fraction of students absent

Girls - 2/5 of 3/5 = 6/25

Boys - 1/3 of 2/5 = 2/15

6/25+2/15=28/75

Calculate total number of students

If 28/75 = 280

280/28=10

10x75=750

Total number of students = 750

Step-by-step explanation:

(a)

y = 6x

with each can she can make 6 cups. so the number of cups is 6 times the number of cans.

(b)

there are 16 cups in a gallon.

in 10 gallons there are then 10×16 = 160 cups.

how many cans of frozen lemonade concentrate does she need to make 160 cups ?

we use the equation from (a) :

160 = 6x

x = 160/6 = 80/3 = 26.66666... cans

now, the cans are only sold in packs of 4.

so, she needs 26.66666.../4 = 6.666666... packs.

therefore, we need to round to the next whole number.

that means she needs to buy 7 packs.

Answer:

The solution will go from NO common solutions to infinite solutions between the 2 parallel lines.

Step-by-step explanation:

In the original case all solutions for equation 1 are above line 1 (y >) and all solutions for equation 2 are below line 2 (y <), so there is no overlap and therefore no common solutions. When reversed, all solutions for line 1 are below line 1 and all solutions for line 2 are above line 2. So the overlap is everything between the two lines.

Answer:

The shaded area would reverse on both inequalities.  

The graphs do not overlap until the signs are reversed.  

There are an infinite number of solutions in the system once the signs are reversed.

There are no solutions before they are reversed.

Step-by-step explanation:

edge 2021

Answer:

Circle B area = 49π square units

Step-by-step explanation:

Circle A radius =√25 = 5 units

(1.2)(5) = 7 = radius circle B

Circle B area = 7²π = 49π square units

Answer:

12 feet × 10 feet

Step-by-step explanation:

12 feet × 10 feet is the size of a modest bedroom.

60in × 36in is only 5×3 feet, more like a closet.

20×18m is around 60×54feet something like a whole studio apartment or 1-bedroom apartment.

100×80cm is like 3 feet by lessthan 3 feet like a doormat size or maybe a coat closet.

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Answer:

the probability that the stock increases in value on both Monday and Tuesday is 0.48 or 48%.

Step-by-step explanation:

We can use the conditional probability formula to solve this problem. Let A be the event that the stock increases in value on Monday, and B be the event that the stock increases in value on Tuesday. Then we want to find P(A and B), the probability that both events occur.

We know that P(A) = 0.6, the probability that the stock increases in value on Monday, and P(B|A) = 0.8, the probability that the stock increases in value on Tuesday given that it increased in value on Monday.

Using the formula for conditional probability, we have:

P(A and B) = P(B|A) * P(A)

Plugging in the given values, we get:

P(A and B) = 0.8 * 0.6

P(A and B) = 0.48

Therefore, the probability that the stock increases in value on both Monday and Tuesday is 0.48 or 48%.

The line in the scatterplot is not a good representation of the data.

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.

A scatterplot is used to visualize the relationship between two variables and the line doesn't provide any insight into that relationship. The points in the scatterplot are scattered and there is no discernible pattern to the points that would suggest the line is a good representation of the data. Additionally, the line is not continuous and varies in slope, suggesting that it is not a good fit for the data. Therefore, the line does not provide a good representation of the data and should be removed.

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Suppose A is a 4x4 matrix, B is a 4x3 matrix, and C is a 3x4 matrix such that A = BC. To show that A is not invertible, we need to demonstrate that it does not have an inverse.

Since B is a 4x3 matrix, it has 4 rows and 3 columns, which means that its rank can be at most 3. The product of two matrices, in this case, BC, will have a rank that is less than or equal to the minimum rank of the two matrices involved (B and C). Therefore, the rank of A (which is equal to the rank of BC) will be less than or equal to the rank of B, which is at most 3.

For a matrix to be invertible, its rank must be equal to its dimension. However, since A is a 4x4 matrix, its dimension is 4. Given that the rank of A is at most 3, it cannot have a rank equal to its dimension, and thus, A is not invertible.

To show that a is not invertible, we need to prove that a doesn't have an inverse matrix. One way to do this is by contradiction.  Suppose that a is invertible, which means that there exists a matrix a^-1 such that aa^-1 = a^-1a = I, where I is the identity matrix.

Then, we can use the fact that a=bc to substitute for a in the above equation:

(bc)a^-1 = a^-1(bc) = I

Next, we can use the associativity of matrix multiplication to rearrange the above equation:

b(ca^-1) = (a^-1b)c = I

Now, notice that ca^-1 is a 3 by 3 matrix, and b is a 4 by 3 matrix. So, the product b(ca^-1) is a 4 by 3 matrix. On the other hand, (a^-1b)c is a 3 by 4 matrix. This is a contradiction because two matrices with different dimensions cannot be equal. Therefore, our initial assumption that a is invertible must be false, and a is not invertible.

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When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b).

When should you use point-slope form?

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.

One of the three ways we can express a straight line is using the point slope form, also known as the point-gradient form. By merely knowing one point on the line and the slope of the line, we may use this form to get the equation of the line.

The slope and y-intercept of the matching line can be rapidly determined when we have a linear equation in slope-intercept form. This enables us to graph it as well.

The equation of a line can be represented in either slope-intercept form or point-slope form.

Slope-intercept form:

The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of the line passing through the points (3,5) and (6,11) in slope-intercept form, we can use the point-slope formula to find the slope and then use one of the points to find the y-intercept.

Point-slope form:

The point-slope form of a line is given by y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

To find the equation of the line passing through the points (3,5) and (6,11) in point-slope form, we can use the point-slope formula and one of the points.

Using the point-slope formula, the slope of the line is (11 - 5) / (6 - 3) = 6/3 = 2.

So, the equation of the line in slope-intercept form is:

y = 2x + b

We can use the point (3,5) to find the y-intercept:

5 = 2 * 3 + b

Solving for b, we get b = -1.

So the equation of the line in slope-intercept form is:

y = 2x - 1

In point-slope form, using the point (3,5), the equation of the line is:

y - 5 = 2(x - 3)

Both forms represent the same line, just in different ways.

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Answer:

280 degrees

Step-by-step explanation:

I hope i'm correct.

So because of the rule vertical angles 2 and 5 are both equal to 40 degrees. Based on that we can use the rule supplementary angles (where two angles together equal to 180 degrees) So since 2 equals to 40 degrees, subtract that from 180. 180-40, which is 140. we need to find <1+<6 so because of vertical angles add 140 and 140. Which is 280 degrees.

I hope this helps :)

Brainliest? ✨

Answer:

Y=70

Step-by-step explanation:

For starters, all the interior angles inside a pentagon add up to 540. This number can be found for any polygon with the forumla (n-2)180. N stands for the number of sides and then you plug it into the equation. For instance, if we wanted to find it for a triangle, we would see that the triangle has three sides and plug it into the formula. (3-2)180 which equals 180. For the ptenagon we take the fact that it has five sides and add it into the equation. (5-2)180 which equals 540. So now that we know all the interior angles are supposed to add up to 540, we can find the value of Y. So let's start by finding what amount we already have.

T=110

A=150

D=120

O=90 (this is beacuse of the right angle square placed which equals 90 degrees)

All those angles add to 470 degrees. So to find the last angle, you would subtract our total of 470 from our interior angle total of 540.

540-470=70

Y=70.

Block diagram representation of R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt.

The given equation is R(di/dt)+L(d²i/dt²)+(1/C)i = dV/dt.

The block diagram is an essential tool in the analysis and design of dynamic systems. The blocks represent the interconnected subsystems of the system.

The interconnections and external inputs and outputs are shown by the connections between the blocks.The block diagram representation of the equation R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt is given below.

Therefore, the block diagram representation of the given equation is as follows:

Block diagram representation of R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt.

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So, the simplified expression that represents the total cost is 8(x + 0.34375) dollars.

Let x be the cost of one scoop of ice cream without any toppings. Then the total cost for each kid who adds sprinkles is x + 0.25, the total cost for each kid who adds nuts is x + 0.35, and the total cost for each kid who adds nothing extra is x.

Therefore, the total cost for the 10 kids is:

5(x + 0.25) + 3(x + 0.35) + 2x = 8x + 2.75

Simplifying this expression, we get:

8x + 2.75 = 8(x + 0.34375)

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