Suppose an object has a vertex at (3. – 5). In what quadrant will you find the image of this vertex after a dilation of scale factor of – 2? The origin is the center of dilation.


A. Quadrant 1


B. Quadrant 2


C. Quadrant 3


D. Quadrant 4

Super sports:

Price with discount: 68.875

Price without: 72.50

(6.5%)Sales tax total: 10.5961538462

Total: 79.4711538462

Extra work:

72.50/ 20=3.625

72.50-3.625=68.875

68.875 / 6.5=10.5961538462

68.875 + 10.5961538462 =79.4711538462

Double dribble:

Price: 54.75

(9%)Processing fee: 6.08333333333

($5.99)Shipping fee : 5.99

Total:66.8233333333

Extra work:

54.75 / 9= 6.08333333333

54.75 + 6.08333333333 = 60.8333333333

60.8333333333 + 5.99=366.823333333

Therefore:

Double dribble has the best pice and is  12.6478205132 less than Super sports.

Answer:

S = 3

S = 5

S = 7

S = 9

Step-by-step explanation:

t = 3s + 2

when t = 11

11 = 3s + 2

11 – 2 = 3s

9 = 3s

s = 3

t = 3s + 2

when t = 17

17 = 3s + 2

17 – 2 = 3s

15 = 3s

s = 5

t = 3s + 2

when t = 23

23 = 3s + 2

23 – 2 = 3s

21 = 3s

s = 7

t = 3s + 2

when t = 29

29 = 3s + 2

29 – 2 = 3s

27 = 3s

s = 9

I HOPE ALL THIS HELPS

RATE AS BRAINLIEST PLS

In order to represent the line segment from P to Q by a vector-valued function, we are required to first calculate the vector from P to Q which is then used as the direction of the vector-valued function. The direction vector is found by subtracting the position vectors of Q and P.

We can thus write;` r(t) = P + t(Q-P)`where;

P = (-6, -7, -2) and

Q = (-2, -9, -9)Substituting the above values into the formula we obtain; r(t) = (-6, -7, -2) + t[(-2, -9, -9) - (-6, -7, -2)]

Expanding the brackets, we have;

r(t) = (-6, -7, -2) + t(-2+6, -9+7, -9+2)

r(t) = (-6, -7, -2) + t(4, -2, -7)

Therefore, the vector-valued function of the line segment from P to Q is;r(t) = (-6 + 4t, -7 - 2t, -2 - 7t)

x = -6 + 4t,

y = -7 - 2t,

z = -2 - 7t`

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Answer:

yes we can answer it

Step-by-step explanation:

we can

Answer:

  x = 1 or 5

Step-by-step explanation:

You want the value(s) of x that make 3x^2-x+1 and 2x^2+5x-4 have the same value.

Equating their values, we have ...

  3x² -x +1 = 2x² +5x -4

  x² -6x +5 = 0 . . . . . . . . . subtract (2x²+5x-4)

  (x -5)(x -1) = 0 . . . . . . . factor

  x = 1 or x = 5 . . . . . . values of x that make the factors zero

The two trinomials will have the same value for x=1 and for x=5.

__

Additional comment

The attached graph shows the points where the trinomials have the same value.

The p-value for this hypothesis test is 0.263.

In this case, the null and alternative hypotheses for a hypothesis test of the difference in two population proportions are:

null hypothesis: p1 = p2

alternative hypothesis: p1 > p2

Notice that the alternative hypothesis is a one-tailed test.

Suppose proportions z test method from stats models is used to perform the test and the output is (1.13, 0.263).

To find the p-value for this hypothesis test, we need to use the output from the statsmodels function.

The second number in the output is the p-value.

Therefore, the p-value for this hypothesis test is 0.263.

The first number in the output is the z-value, which is not relevant to finding the p-value. Therefore, we can ignore it. Answer: 0.263

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Considering that y is between x and z, we have that:

We consider that y is between x and z, hence the length of the segment is given by:

xz = xy + yz

The separate lengths are given as follows:

Hence:

4k + 38 = 3k - 2 + 7k + 4.

4k + 38 = 10k + 2

6k = 36

k = 6.

Hence the length of yz is given by:

yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.

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the most appropriate sampling method for Laura to determine if the 7th grade class wants to go on a field trip to an art museum, a concert.

how to solve the method?

The sampling method that would likely provide a representative sample of the population would be to survey every fifth 7th grade student as Laura arrives at school because it gives each seventh-grade student an equal opportunity to be a part of the survey. This method is known as systematic sampling, and it ensures that each student has an equal chance of being selected for the survey.

By using this method, Laura can avoid biases that may arise if she only surveyed athletes or members of the art club. For example, if she surveyed only 7th grade athletes, she would not be able to get the opinions of students who are not interested in sports. Similarly, if she only surveyed members of the art club, she would not be able to get the opinions of students who are not interested in art.

Surveying every fifth 7th grade student would also allow Laura to obtain a sample size that is large enough to be representative of the entire population. This method would ensure that her sample is not too small or too large and that it is a manageable size for analysis.

In summary, the most appropriate sampling method for Laura to determine if the 7th grade class wants to go on a field trip to an art museum, a concert, or a sporting event would be to survey every fifth 7th grade student as she arrives at school because it gives each seventh-grade student an equal opportunity to be a part of the survey, ensures a manageable sample size, and minimizes bias.

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Answer:

\(\displaystyle y = \frac{-2}{7}\)

Step-by-step explanation:

   To solve, we will isolate the variable.

   Given:

-12/7 = 6y

   Divide:

\(\displaystyle \frac{\frac{-12}{7} }{6} =\frac{6y}{6}\)

   Simplify the right side:

\(\displaystyle \frac{\frac{-12}{7} }{6} =y\)

   "Keep, change, flip" on the left side:

\(\displaystyle \frac{-12}{7} *\frac{1}{6} = y\)

   Multiply:

\(\displaystyle \frac{-12*1}{7*6}= y\)

\(\displaystyle \frac{-12}{42}= y\)

   Simplify and reflexive property:

\(\displaystyle y = \frac{-2}{7}\)

Answer:

c. c=6chocolate bars

Step-by-step explanation:

because the store started with 6 bars of chocolate

Answer:

tb6j7j7j7j7j7j7j8j8j7h6h6h6h6h6h6h6h6j6h6h6hyhybyybyvyvtvtvtg6g5hyvybybyyh5hyhyhyvtvyvtv

The value of the right triangle cos d = 15/17 and cos c = 8/17.

Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given that, the value of tan c = 15/8 and the value of sin d = 8/17.

From the trigonometric functions we can conclude that:

Opposite side to c = 15

Adjacent side to c = 8

Hypotenuse = 17

Opposite side to d = 8

Adjacent side to d = 15

The values of cos d is:

cos d = Adjacent side to d / Hypotenuse = 15/17

cos c = Adjacent side to c / Hypotenuse = 8/17

Hence the value of the right triangle cos d = 15/17 and cos c = 8/17.

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Answer:

Step-by-step explanation:

This is kinda tricky, but not nearly as bad as d = rt problems. Those are a nightmare!

We will make a table for this:

                         #lbs solution           *          % salt         =           lbs. salt

  3% solution

-  Water                                                                                                      

New solution

And we will now fill in what we know. The 3% solution part is easy. The number of pounds of that is 50 and the percent salt in 3% salt is....well, 3%. As a decimal, it is .03:

                             #lbs solution        *        %salt        =        lbs salt

  3% solution                50                 *          .03         =           1.5

-  Water                                                                                                

New solution

The last column there with a 1.5 in it is the product of 50 times .03, since that is what the formula at the top of the table tells us we have to use. Now for the water. That's easy, too, since the amount of water we are evaporating (notice the subtraction sign out front of the word "water"; that indicates we are removing water) is our unknown, and we also know that water has 0% salt in it:

                          #lbs solution         *       %salt        =        lbs. salt

   3% solution            50                  *         .03         =           1.5

-   Water                       x                  *            0          =            0        

New solution

Now all we have left is the new solution row and the equation. Finding the equation from a mixture table is as easy as it can be! Super easy!

The new solution will be 50 - x since, going down column 1, we are subtracting the water from the 3% solution, the % salt is to be 5%:

                            #lbs. solution        *       %salt        =        lbs. salt

   3% solution               50                *         .03          =           1.5

-   Water                          x                 *           0           =            0        

New solution         50 - x                  *         .05          =     2.5 - .05x

Now we're ready for our equation. I got the 2.5 - .05x from multiplying

.05(50 - x), just so you know.

if we had to subtract the water from the salt solution and set it equal to the new solution in the first column, we also have to do it in the third column:

1.5 - 0 = 2.5 - .05x and solve for x:

-1 = -.05x so

x = 20 pounds of water

Answer:

The answer is 1600

Step-by-step explanation:

10×100=1000

10×60=600

Answer:

((1+2,6%)^10)×160

=206,820

Answer:

∠x = 78

Step-by-step explanation:

∠y + ∠1 = 180

=> 125 + ∠1 = 180

=> ∠1 = 180 - 125

=> ∠1 = 55

∠z + ∠2 = 360

=> 313 + ∠2 = 360

=> ∠2 = 360-313

=> ∠2 = 47

∠1 + ∠2 + ∠x = 180

=> 55 + 47 + ∠x = 180

=> ∠x = 180 - 55 - 47

=> ∠x = 78

Answer:

\(x=78\)

Step-by-step explanation:

Skills needed: Exterior Angle Theorem, Triangle Geometry:

1) We need to solve for \(x\) and there are 2 methods to do it. I will go over the fastest way (since it's better).

2) In order to use this theorem, we need to solve for the angle near \(z\). This angle would be \(360-z\), which is \(360-313\) (since \(z=313\)).

\(360-313\) = \(47\)

3) Then, we can use the fact that \(y=x+47\) (47 is the measure of the angle we just solved for.)

\(y=125\), so \(125=x+47\)

Subtract 47 from both sides, and get \(x=78\)

Hope you understood and have a nice day! :D

Note: I have attached one image that shows my work, and another image that shows the exterior angle theorem (which I created on a whiteboard). Hope you get it! If you have any questions, comment and I can answer it ASAP!

Answer:

First, we need to convert all the measurements to the same unit. Let's convert everything to inches, since the formula for the volume of a cylinder uses inches:

12 in = 12 in

14 in = 14 in

12 in = 12 in

4 in = 4 in

The object consists of a cylinder with a radius of 4 inches and a height of 12 inches, and a hemisphere with a radius of 4 inches. To find the volume of the object, we need to find the volume of the cylinder and the hemisphere, and then add them together.

Volume of the cylinder:

V_cyl = πr^2h

V_cyl = π(4 in)^2(12 in)

V_cyl = 192π in^3

Volume of the hemisphere:

The volume of a hemisphere is given by:

V_hemi = (2/3)πr^3

Since the radius is 4 inches, we have:

V_hemi = (2/3)π(4 in)^3

V_hemi = (2/3)π(64 in^3)

V_hemi = 128π/3 in^3

Total volume:

V_total = V_cyl + V_hemi

V_total = 192π in^3 + 128π/3 in^3

V_total = (576π + 128π)/3 in^3

V_total = 704π/3 in^3

Now we can substitute the value of π (3) to get the final answer:

V_total = 704π/3 in^3

V_total = 704(3)/3 in^3

V_total = 704 in^3

Therefore, the volume of the object is 704 cubic inches.

Answer:

I belive the answer is D

Step-by-step explanation:

27/9=3

multiply all other sides by three and you get D

Answer:

B. a+7

Step-by-step explanation:

B is the answer because it say older than which hints that you have to use subtraction. More than is commonly used to show that it is subtraction.

Answer:

Simplifying

(n + 9) + -1(2 + -2n) = 0

Reorder the terms:

(9 + n) + -1(2 + -2n) = 0

Remove parenthesis around (9 + n)

9 + n + -1(2 + -2n) = 0

9 + n + (2 * -1 + -2n * -1) = 0

9 + n + (-2 + 2n) = 0

Reorder the terms:

9 + -2 + n + 2n = 0

Combine like terms: 9 + -2 = 7

7 + n + 2n = 0

Combine like terms: n + 2n = 3n

7 + 3n = 0

Solving

7 + 3n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 3n = 0 + -7

Combine like terms: 7 + -7 = 0

0 + 3n = 0 + -7

3n = 0 + -7

Combine like terms: 0 + -7 = -7

3n = -7

Divide each side by '3'.

n = -2.333333333

Simplifying

n = -2.333333333

Step-by-step explanation:

Using the Fundamental principles of counting,

total 1680 , strings of length 4 can be formed using the letters "computer" if repetitions are not allowed.

There are many ways to fill the four empty spaces with a four letter code. You must enter 8 letters of the word "computer".

So , total number of characters = 8

4 blanks must be padded with 8 letters and repeated characters are not allowed.

The first digit can be filled in 8 different ways with each of the 8 characters. Now, we can fill the second digit with the remaining seven characters in 7 ways. The third place can be filled with one of the remaining six characters in 6 different ways, and the fourth place with one of the remaining five characters in 5 different ways.

So, Using the principle of multiplication, there are as many possibilities as we need and how they can occupy 4 free places = 8 x 7 x 6 x 5 = 1680

So , 1680 strings of 4 characters from eight characters word "Computer" and character codes are not repeated.

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The given formula and does not take into account other factors that may affect the population size.

To predict the blue whale population in 2015, we need to find the value of N(t) for t = 35, as 2015 is 35 years after 1980.

N(t) = 4500e^(-0.1345t)

N(35) = 4500e^(-0.1345*35)

N(35) ≈ 4500e^(-4.7075)

N(35) ≈ 4500*0.009

N(35) ≈ 40.5

Therefore, if the trend of decreasing population continues, the predicted blue whale population in the southern hemisphere in 2015 would be approximately 40.5 individuals. However, it is important to note that this is a mathematical prediction based on the given formula and does not take into account other factors that may affect the population size.

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One of the zeros of the given quadratic function is x=-5.5.

The quadratic function can represent a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

For solving a quadratic function you should find the discriminant: \(D=b^2-4ac\)  . And after that you should apply the discriminant in the formula: \(x=\frac{-b\pm \sqrt{D} }{2a}\)

In this equation:

a=4

b=24

c=11

\(D=b^2-4ac=24^2-4\cdot \:4\cdot \:11}=576-176=400\)

\(x_{1,\:2}=\frac{-b\pm \sqrt{D} }{2a}\\ \\ x_{1,\:2}=\frac{-24\pm \sqrt{24^2-4\cdot \:4\cdot \:11}}{2\cdot \:4}\\ \\ x_{1,\:2}=\frac{-24\pm \sqrt{400}}{8}\\ \\ x_{1,\:2}=\frac{-24\pm 20}{8}\)

Then,

\(x_1=\frac{-24+20}{2\cdot \:4}\\ \\ x_1=\frac{-4}{8}=\frac{-1}{2}=-0.5\)

and

\(x_2=\frac{-24-20}{2\cdot \:4}\\ \\ x_1=\frac{-44}{8}=\frac{-11}{2}=-5.5\)

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The probability that either house sales or interest rates will increase in the next 6 months is estimated to be 0.79.

To find the probability that either house sales or interest rates will go up in the next 6 months, we can use the concept of union in probability theory. The union of two events A and B, denoted as A ∪ B, represents the event that either A or B or both occur.

Given the probabilities that house sales will increase (0.25) and interest rates on housing loans will go up (0.74), we need to calculate the probability of the union of these two events. However, we must consider that the events are not mutually exclusive, meaning that it is possible for both house sales to increase and interest rates to go up simultaneously.

To calculate the probability of the union, we can use the formula: P(A ∪ B) = P(A) + P(B) - P(A ∩ B), where P(A) represents the probability of event A, P(B) represents the probability of event B, and P(A ∩ B) represents the probability of both events A and B occurring.

Substituting the given probabilities into the formula, we have P(A ∪ B) = 0.25 + 0.74 - P(A ∩ B). Since we do not have the information regarding the joint probability of both events occurring (P(A ∩ B)), we cannot determine the exact probability of the union. However, we can say that the probability of either house sales or interest rates going up is estimated to be 0.79, assuming that the joint probability is not significant.

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Answer:

3

Step-by-step explanation:

x^5 = ?^5

x = 3

We plug in x = 3:

3^5 = ?^5

We find the fifth root of both sides and get:

3 = ?

That means that 3 is the answer

Answer:

3

Step-by-step explanation:

To evaluate the expression you would add in the x so in BLANK^3

you would plug in the x which is 3.

The smallest positive integer that is the sum of a multiple of 15 and a multiple of 21 can be found by finding the least common multiple (LCM) of 15 and 21. The LCM represents the smallest positive integer that is divisible by both 15 and 21. Therefore, the LCM of 15 and 21 is the answer to the given question.

To find the smallest positive integer that is the sum of a multiple of 15 and a multiple of 21, we need to find the least common multiple (LCM) of 15 and 21.

The LCM is the smallest positive integer that is divisible by both 15 and 21.

To find the LCM of 15 and 21, we can list the multiples of each number and find their common multiple:

Multiples of 15: 15, 30, 45, 60, 75, ...

Multiples of 21: 21, 42, 63, 84, ...

From the lists, we can see that the common multiple of 15 and 21 is 105. Therefore, the smallest positive integer that is the sum of a multiple of 15 and a multiple of 21 is 105.

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Answer: 3

Since multiples can be negative, our answer is 3.

The margin of error is:

a) 0.069

b) 0.035

c)  0.021

d) 0.032

e) 0.028

What is confidence level?

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, however other levels, such as 90% or 99%, are occasionally used when computing confidence intervals.

Given,

Here at 95% CI, the z value is 1.96

a) sample n = 200, p = 0.52

Now, we find the margin of error and we get

Margin of error = z×√(p(1-p)/n)

Now, substitute values of p, n, and z and we get

= 1.96×√(0.52(1-0.52)/200)

= 0.069

b) n = 800 , p = 0.52

Margin of error = z×√(p(1-p)/n)

Now, we substitute values of n, p, and z and we get

= 1.96×√(0.52(1-0.52)/800)

= 0.035

c) n = 800 , p = 0.1

First,  we find the margin of error and we get

Margin of error = z×√(p(1-p)/n)

Now, we substitute values and we get

= 1.96×√(0.1(1-0.1)/800)

= 0.021

d) n = 800 , p = 0.7

Margin of error = z×√(p(1-p)/n)

Now, we substitute values and we get

= 1.96×√(0.7(1-0.7)/800)

= 0.032

e) n = 1200 , p = 0.60

First, we find the margin of error and we get

Margin of error = z×√(p(1-p)/n)

After substituting values we get

= 1.96×√(0.6(1-0.6)/1200)

= 0.028

Hence,

The margin of error is:

a) 0.069

b) 0.035

c)  0.021

d) 0.032

e) 0.028

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Answer:

Step-by-step explanation:

huh

Answer:

6x + 7y +84

Step-by-step explanation:

The linear equation y = -(6/7) x + 12 in the standard form will be 6x + 7y - 84 = 0.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation in standard form is given as,

ax + by + c = 0

Where -a/b is the slope of the line and c/b is the y-intercept of the line.

The linear equation in slope-intercept form is given below.

y = -(6/7)x + 12

Convert the equation into a standard form. Then we have

y = -(6/7)x + 12

y = (-6x + 84) / 7

7y = - 6x + 84

6x + 7y - 84 = 0

The linear equation y = -(6/7) x + 12 in the standard form will be 6x + 7y - 84 = 0.

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Answer:

B and D are correct.

Step-by-step explanation:

To find the area of a rectangle, simply multiply its length by its width. In this case, the length of the rectangle is \(5\) m and the width of the rectangle is \(3\) m, so its area must be \(5*3=15\) square meters.

To find the area of a triangle, divide the product of the triangle's base and height by \(2\). As an algebraic expression, that would be \(\frac{bh}{2}\), where \(b\) and \(h\) are the triangle's base and height, respectively. In this case, \(b=6\) and \(h=5\), so the triangle's area is \(\frac{6*5}{2}=15\) square meters.

Now, let's look at the statements.

A: The triangle's area is \(15\) square meters, not \(30\), so A is incorrect.

B: The rectangle's area is \(15\) square meters and the triangle's area is also \(15\) square meters. Because the two figures have the same areas, their areas are equal, so B is correct.

C: We've already established that the two figures have equal areas, so one can't have a greater area than the other. Therefore, C is incorrect.

D: The rectangle's area is indeed \(15\) square meters, so D is correct.

Hope this helps!

Answer:

B is correct, and D is correct

if you multiply 3 times 5 you get 15 m which is the area for the rectangle, then you have to find the area for the triangle, which you would have to multiply 6 times 5 which you get 30, then divide 30 by 2, which would be 15!

Step-by-step explanation: