Which type of parent function is graphed on the coordinate plane?

Answer:

a; (x|x<3)

Step-by-step explanation:

A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point X (0, 4)  →  Coordinates of point Y = (0, -4)

Coordinates of point X (1, 3)  →  Coordinates of point Y = (-1, -3)

In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.

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Answer:

The common denominator will be 70

Step-by-step explanation:

To set the fractions to a common denominator, we need to know what number they both share. In this case, both 7 and 10 share the number 70, since 7 * 10 is 70.

Therefore, we can multiply 2/7 by 10/10 and 3/10 by 7/7:

\(\frac{2}{7}\) * \(\frac{10}{10}\) = \(\frac{20}{70}\)

\(\frac{3}{10}\) * \(\frac{7}{7}\) = \(\frac{21}{70}\)

Answer: Common denominator = 70

Step-by-step explanation: In order to find a common denominator, we need to find what number they have in common. That'd be 70. So, now rewrite the fractions like this:

\(\frac{2}{7} = \frac{?}{70}\)

\(\frac{3}{10} = \frac{?}{70}\)

Now, we need to find the equivalent fractions on the right. To do that, use this formula for part 1:

Right denominator / left denominator

Then, what you get after dividing those 2, you multiply by the left numerator.

So, let's plug the numbers in:

70 / 7 = 10

10 * 2 = 20

Therefore, \(\frac{2}{7} = \frac{20}{70}\)

70 / 10 = 7

3 * 7 = 21

Therefore, \(\frac{3}{10} = \frac{21}{70}\)

I hope this helped!

Answer:

20% of 35 is 7 so 7 plus 35 is 42

Step-by-step explanation:

so 42 is your answer

Answer:

1. x = 30

REC = 130

Step-by-step explanation:

2x + 70 = 4x + 10

60 = 2x

x = 30

you try the others

Good luck :D

The condition probability of a given b must be smaller than the intersection of the same two events a and b:

This statement is False.

The condition probability of event "b" given event "a" (P(b|a)) must be less than or equal to the probability of event "b" (P(b)). This is because the occurrence of event "a" restricts the sample space to only those outcomes that belong to event "a", and thus the probability of event "b" given event "a" cannot be greater than the unconditional probability of event "b".

The concept of conditional probability is used to describe the probability of an event given that another event has already occurred.

The formula for conditional probability is

where P(b|a) represents the probability of event "b" given that event "a" has already occurred.

In order for this to be meaningful, it is required that P(b|a) <= P(b). This means that the probability of event "b" given that event "a" has already occurred cannot be greater than the unconditional probability of event "b".

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(a) The probability that a point chosen randomly inside the rectangle is in the square is 0.6.

(b) The probability that a point chosen randomly inside the rectangle is outside the square is 0.4.

The probability that a point chosen randomly inside the rectangle is in each given shape is calculated as follows;

The area of the triangle is calculated as follows;

area = ¹/₂ x base x height

area = ¹/₂ x 4 x 5

area = 10 sq.units

The area of the rectangle is calculated as follows;

area = 4 x 4

area = 16 sq.units

The probability that a point chosen randomly inside the rectangle is in the square is calculated as;

P = outcome / total possible outcome

P = ( 10 ) / 16

P = 0.625 ≈ 0.6

The probability that a point chosen randomly inside the rectangle is outside the square;

P = 1 - p(inside)

P = 1 - 0.6

P = 0.4

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Answer:

0 dollars

=E(M)

=μ  

M

​  

=−$10,000(0.81)+$40,000(0.18)+$90,000(0.01)

=−8,100+7,200+900

=0

​  

Answer:

0.2, as stated on Khan.

Step-by-step explanation:

Pay attention to the wording. There are two similar problems with wording, but the numbers are altered.

x = 5.5

we can solve this by using tanø formula i.e p/b

There are 20 students have more than 2 pets.

We have to given that;

A line plot titled Number of Pets of Third Grade Students.

Here, By given information we get;

Number of students have more than 2 pets are,

⇒ 4 + 2 + 3 + 0 + 1 + 5 + 1 + 1 + 3

⇒ 20

Thus, There are 20 students have more than 2 pets.

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Step-by-step explanation:

To find the rate, divide the number of heartbeats by the number of seconds.

You: 22 beats / 20 seconds = 1.1 beats per second.

Friend: 18 beats / 15 seconds = 1.2 beats per second.

Answer:

4.71 minutes

Step-by-step explanation:

Incomplete question [See comment for complete question]

Given

Shape: Cone

\(r = 3\) -- radius

\(h = 7\) --- height

\(Rate = 14in^3/min\)

Required

Time to pass out all liquid

First, calculate the volume of the cone.

This is calculated as:

\(V = \frac{1}{3} \pi r^2h\)

This gives:

\(V = \frac{1}{3} * 3.14 * 3^2 * 7\)

\(V = \frac{1}{3} * 197.82\)

\(V = 65.94in^3\)

To calculate the time, we make use of the following rate formula.

\(Rate = \frac{Volume}{Time}\)

Make Time the subject

\(Time= \frac{Volume}{Rate }\)

This gives:

\(Time= \frac{65.94in^3}{14in^3/min}\)

\(Time= \frac{65.94in^3}{14in^3}min\)

Cancel out the units

\(Time= \frac{65.94}{14} min\)

\(Time= 4.71 min\\\)

Answer:

The time it will take for all the liquid to pass through is 4.71 minutes.

-Don't worry it's been already verified by myself .

Answer:

Step-by-step explanation:

Letter B is the correct answer

Initial population is 200, tripled every hour

200 x 3 = 600

First hour 200

Second hour = 600 + 200 = 800

Third hour 800x3 = 2400 + 800 = 3200

and so on.

Answer:

A. Using the lens equation, 1/p + 1/q = 1/f, and substituting f = 5 cm and q = 7 cm, we can solve for p:

1/p + 1/7 = 1/5

Multiplying both sides by 35p, we get:

35 + 5p = 7p

Simplifying and rearranging, we get:

2p = 35

Therefore, the distance from the lens to the object, p, is:

p = 35/2 cm

B. Solving the lens equation, 1/p + 1/q = 1/f, for q, we get:

1/q = 1/f - 1/p

Substituting f = 5 cm, we get:

1/q = 1/5 - 1/p

Multiplying both sides by 5qp, we get:

5p = qp - 5q

Simplifying and rearranging, we get:

q = 5p / (p - 5)

Therefore, the expression that gives q as a function of p is:

q = 5p / (p - 5)

C. Here is a sketch of the graph of q(p):

The graph is a hyperbola with vertical asymptote at p = 5 and horizontal asymptote at q = 5. The image distance q is positive for object distances p greater than 5, which corresponds to a real image. The image distance q is negative for object distances p less than 5, which corresponds to a virtual image.

D. Taking the limit of q as p approaches infinity, we get:

lim q(p) = 5

This represents the horizontal asymptote of the graph. As the object distance becomes very large, the image distance approaches the focal length of the lens, which is 5 cm.

Taking the limit of q as p approaches 5 from the positive side, we get:

lim q(p) = -infinity

This represents the vertical asymptote of the graph. As the object distance approaches the focal length of the lens, the image distance becomes infinitely large, indicating that the lens is no longer able to form a real image.

In order for the lens to form a real image, the object distance p must be greater than the focal length f. When the object distance is less than the focal length, the lens forms a virtual image.

Answer: 48 more monthly payments

Step-by-step explanation:

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  95% interval for \(p_1 - p_2\) is  \(-0.0171 ,0.0411\)

Option A is correct

Step-by-step explanation:

From the question we are told that

   The sample size of male  is \(n_1 = 1211\)

    The number of males that  said they have at least one tattoo is \(r = 182\)

   The sample size of female is \(n_2 = 1041\)

     The number of females that  said they have at least one tattoo is \(k = 144\)

Generally the sample proportion of male is  

            \(\r p_1 = \frac{r}{ n_1}\)

substituting values

            \(\r p_1 = \frac{ 182}{1211}\)

             \(\r p_1 = 0.1503\)

Generally the sample proportion of female is  

            \(\r p_2 = \frac{k}{ n_2}\)

substituting values

           \(\r p_2 = \frac{ 144}{1041}\)

           \(\r p_2 = 0.1383\)

Given that the confidence level is  95% then the level of  significance is mathematically represented as

          \(\alpha =100-95\)

          \(\alpha =5\%\)

          \(\alpha =0.05\)

Next we obtain the critical value of \(\frac{\alpha }{2}\) from the normal distribution table , the value is

          \(Z_\frac{\alpha }{2} = 1.96\)

Generally the margin of error is mathematically represented as

        \(E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p_1 (1- \r p_1)}{n_1} + \frac{\r p_2 (1- \r p_2)}{n_2} }\)

substituting values

       \(E = 1.96 * \sqrt{\frac{ 0.1503 (1- 0.1503)}{1211} + \frac{0.1383 (1- 0.1383)}{1041} }\)

       \(E = 0.0291\)

The 95% confidence interval is mathematically represented as

        \((\r p_1 - \r p_2 ) - E < p_1-p_2 < (\r p_1 - \r p_2 ) + E\)

substituting values

         \((0.1503- 0.1383 ) - 0.0291 < p_1-p_2 < (0.1503- 0.1383 ) + 0.0291\)

          \(-0.0171 < p_1-p_2 < 0.0411\)

So the interpretation is that there is 95% confidence that the difference of the proportion is in the interval .So conclude that there is insufficient evidence of a significant difference in the proportion of male and female that have at least one tattoo

This because the difference in proportion is less than \(\alpha\)

Answer:

Height, h = 20.99 millimeters.

Step-by-step explanation:

Given the following data;

Volume = 8792mm³

Radius = 20 mm

To find the height;

We know that the shape of an anthill is conical in nature.

Mathematically, the volume of a cone is given by the formula;

\( V = \frac{1}{3} \pi r^{2}h\)

Where;

Substituting into the equation, we have;

\( 8792 = \frac{1}{3} * 3.142*20^{2}*h \)

\( 8792 = \frac{1}{3} * 3.142*400*h \)

\( 8792 = \frac{1}{3} * 1256.8*h \)

\( 8792 = 418.93*h \)

\( Height, h = \frac {8792}{418.93}\)

Height, h = 20.99mm.

Therefore, the height of the cone is 20.99 millimeters.

The simplified exponential expression (z^9z^(-3))^(-2) is given as follows:

1 over z raised to the twelfth power.

The expression for this problem is given as follows:

(z^9z^(-3))^(-2)

The parenthesis takes precedence, hence the first term to be simplified is:

z^9z^(-3)

We have the multiplication of two terms with the same base and different exponents, hence the base z is kept and the addition of the exponents 9 and -3 is of:

9 - 3 = 6.

Hence the simplified part is of:

z^6

Then the expression is:

(z^6)^(-2).

Now we have the power of power rule, in which the base z is kept and then the exponents 6 and -2 are multiplied, as follows:

6 x (-2) = -12.

Then the simplified expression is:

z^(-12).

A negative exponent means that the number can be written into the denominator with a positive exponent, hence:

1/(z^12) = 1 over z raised to the twelfth power.

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Answer:

C.  5x(-x + 2)

Step-by-step explanation:

To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.

Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.

Both terms have the common factor of 5x, so we can factor out 5x:

5x(-x + 2)

Therefore, the factored form of -5x² + 10x is -5x(x - 2).

\(\hrulefill\)

Additional notes:

If we expand the expressions in the given answer options, we get:

  A.  −5x(x + 2) = -5x² - 10x

  B.  5(−x² + 10x) = -5x² + 50x

  C.  5x(−x + 2) = -5x² + 10x

  D.  x(5x + 10) = 5x² + 10x

Hence confirming that the correct answer is option C.

To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):

We can check our answer by distributing \(-5x\) to the expression inside the parentheses:

\(\therefore\) The answer is \(-5x(x-2)\).

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

3 sqrt(10)

Step-by-step explanation:

To find the distance, we use the formula

d = sqrt( ( x2-x1)^2 + (y2-y1)^2)

  = sqrt( ( 2- -1)^2 + ( -4-5)^2)

  = sqrt( (2+1)^2 +(-4-5)^2)

  = sqrt( 3^2 +(-9)^2)

  = sqrt( 9+81)

 = sqrt(90)

= sqrt ( 9*10)

  3 sqrt(10)

Answer:

If you are using a calculator, simply enter 120×100÷40, which will give you the answer.

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The angle marked x and the one marked 100° form a linear pair, so are supplementary. The measure of x is ...

  x = 180° -100° = 80°

__

The angle marked 40° and the one marked y are "alternate interior angles" with respect to the parallel lines and the diagonal that crosses them. As such, they have the same measure:

  y = 40°

__

The angle marked 100° and the sum of angles in the lower right corner are "corresponding" angles, so have the same measure. That is ...

  100° = 40° +z

  z = 100° -40° = 60°

Answer:

4

Step-by-step explanation:

From the chioces give it would be 4

But it is actually 8

Answer:3125/9

Step-by-step explanation:

Answer:43.2

Step-by-step explanation: multiply 120 x 0.12 and you get 14.4, since it’s 3 hours multiply 14.4 3 times and u get 43.2

The square to make a perfect square trinomial as a binomial squared is

(q + 7/2q)² - 49/4.

We have been given that the expression -

q² + 7q.

We have to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

We know that a perfect square trinomial is in form .

a² + 2ab + b².

To convert our given expression into perfect square trinomial, we need to add and subtract (b/2)² from our given expression.

We can see that value of b is 7, so we need to add and subtract (7/2)²  to our expression as:

To complete the square, we will add the square of the half of the coefficient of q to the equation

Coefficient of q = 7

Half of the coefficient = 7/2

Square of the result = (7/2)² = 49/4

Adding 49/4 to the equation will make it a perfect square to have

Upon comparing our expression with , we can see that ,

(a + b)² = a² + 2ab + b²

now we can get

q² + 7q + 49/4 - 49/4

(q + 7/2q)² - 49/4

Therefore, our perfect square would be (q + 7/2q)² - 49/4 .

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Answer: 18

Step-by-step explanation: 16/2 = 8 - 6 = 2 x 10 = 20 - 2 = 18, sorry if i'm incorrect.

1. The total amount the stock increased over the first 10 days was $3.

2. The total amount the stock decreased over the next 10 days was $4.50.

3. The total amount the stock increased over the last 10 days was $2.50.

4. The total amount that the stock changed over 30 days was a $1.00 increase ($3 - $4.50 + $2.5).

5. I would buy the stock based on the criteria of an overall increase over the 30-day period since it actually increased by $1.00.

Increase in the first 10 days = $0.30 per day

Total increase in the first 10 days = $3 ($0.30 x 10)

Decrease in the second 10 days = $0.45 per day

The total decrease in the second 1-0 days = $4.50 ($0.45 x 10)

Increase in the last 10 days = $0.25 per day

The total increase in the last 10 days = $2.50 ($0.25 x 10)

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