Find the slope between the points (2, -10) and (-4, 2).
A) 1/4
B) -2
C) 4
D) -1/2

The true statement of the parabola is (a) directrix will cross through the positive part of the y-axis.

Parabolas are examples of a conic section such that it is formed by the intersection of a cone with a plane parallel to its side.

From the question, the given parameters are:

Vertex = (0,0)

Focus = Negative side of the y-axis

A parabola has quite a number of forms, one of these forms is the general form.

The general form is represented as:

(x - h)^2 = 4p(y - k)

The vertex of the parabola is

(h, k) = (0, 0).

So, we have:

(x - 0)^2 = 4p(y - 0)

Evaluate the difference

x^2 = 4py

Since the focus is on the negative side, the value of p will be negative.

Also, because the vertex is at the origin, the directrix of the parabola will cross through the positive part of the y-axis.

This means that the true statement of the parabola is (a) directrix will cross through the positive part of the y-axis.

Read more about parabola at:

https://brainly.com/question/4061870

#SPJ1

Complete question

A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. Which statements about the parabola are true?

Check all that apply.

The directrix will cross through the positive part of the y-axis.

The equation of the parabola will be in the form y2 = 4px where the value of p is negative.

The equation of the parabola will be in the form x2 = 4py where the value of p is positive.

The equation of the parabola could be y2 = 4x.

The equation of the parabola could be x2 = y.

1) [tex]\overline{AB} \perp \overline{BD}[/tex], [tex]\overline{AB} \cong \overline{DB}[/tex], [tex]\overline{AC} \cong \overline{DE}[/tex] (given)

2) [tex]\angle ACB[/tex] is a right angle (perpendicular lines form right angles)

3) [tex]\triangle ABC[/tex] and [tex]\triangle BED[/tex] are right triangles (a triangle with a right angle is a right triangle)

4) [tex]\therefore \triangle ACB \cong \triangle DEB[/tex] (HL)

5) [tex]\therefore \angle ACB \cong \angle DEB[/tex] (CPCTC)

For the two figures to be similar, the missing length must be 30.

For the two figures to be similar, the dimension of each figures must be proportional to each other.

Let the missing length be x.

Hence,

x/25 = 24/20

We cross multiply

x × 20 = 24 × 25

x × 20 = 600

x = 600/20

x = 30

Therefore, for the two figures to be similar, the missing length must be 30.

Learn more about similarity and congruence here: https://brainly.com/question/7888063

#SPJ1

based on the given exponential functions, we can tell that C. Both functions are increasing, but function g increases at a faster average rate.

function g is represented by the model:
g(x) = -18 x (1/3)^x + 2

g(x)=-18(1/3)^x In(1/3)

In1/3 < 0

this means that:

g (x) > 0

for any interval, g(x) > f(x)

this means that g is increasing at a faster rate than f which is increasing as shown by the table given in the question.

find out more on exponential functions at https://brainly.com/question/2456547.

#SPJ1

Answer: [tex]y=4x^3[/tex]

Step-by-step explanation:

See attached image.

The equation of function after vertically stretched by a factor of 4 is,

⇒ y = 4x³

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The parent function is,

⇒ y = x³

Now, After vertically stretched by a factor of 4 we get;

The value of function is,

⇒ y = 4x³

Hence, The equation of function after vertically stretched by a factor of 4 is,

⇒ y = 4x³

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ5

The probability that the employee sold two hurricane policies or sold one hurricane policy is 15/17.

According to the statement

Number of employees who sold three hurricane policies is 2

Number of employees who sold two hurricane policies is 6

Number of employees who sold 1 hurricane policies is 9

SO,

The total number of employees is 2+6+9=17.

The number that sold two hurricane policies or sold one hurricane policy is 6+9=15,

so the Probability = Total number of policies sold / total number of employees

Probability = 15/17

So, The probability that the employee sold two hurricane policies or sold one hurricane policy is 15/17.

Learn more about PROBABILITY here https://brainly.com/question/24756209

#SPJ4

The lowest number in the data set is -5.

Let the data sets be consecutive numbers that has a highest number of 2.

Consecutive numbers mean that the.numvers follow each other. This will be:

-5, -6, -7, -8, -9, 0, 1, 2

Based on the numbers illustrated above, the lowest number is -5.

Learn more about data on:

brainly.com/question/19243813

#SPJ1

The mass of brick is 2478 gram.

A rectangular prism has a total of 6 faces, 12 sides, and eight vertices. Like a cuboid, it has three dimensions- the base width, the height, and the length. The top and base of the rectangular prism are rectangular in shape. The pairs of opposite faces of a rectangular prism are identical or congruent.

A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches.

The volume of rectangular prism = length×width×height

                                                        = 8×3.5×2

                                                        = 56

Thus volume of brick is 56 cubic inches.

Convert inches to centimeter

1 inch = 2.54 centimeter

Therefore,

56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter

56 cubic inches = 917.676 cubic centimeter

Thus, we get,

volume of a rectangular prism = 917.676 cubic centimeter

The brick has a density of 2.7 grams per cubic centimeter

Density = 2.7 grams

The mass of brick is given by formula = density × volume

[tex]\Rightarrow[/tex]                                                            = 2.7 × 917.676

[tex]\Rightarrow[/tex]                                                            = 2477.72

[tex]\Rightarrow[/tex]                                                            ≅ 2478  

Thus mass of brick is 2478 gram.

To read more about:

To learn more about rectangular prism from the given link

https://brainly.com/question/14446675

#SPJ4

Answer:

$4.20

Step-by-step explanation:

1+1+.50+.50+.35+.35+.25+.25=4.20

The margin of error is calculated using the formula, C. ME = z × s / √n.

The formula for finding the margin of error is given as: ME = z × s / √n, where we have the following:

ME = margin of error

z = z-score

s = population standard deviation

n = sample size

The margin of error is used to determine amount of error in a random sampling.

Thus, the formula is: C. ME = z × s / √n.

Learn more about the margin of error on:

https://brainly.com/question/15691460

#SPJ1

Answer: 1.7

Step-by-step explanation:

The rate of gallons per hour is the same as the unit rate. You want to find out how many gallons are filled in one hour, so divide 3 down to one, 3 divided by 3 is one. Then, also divide 5 by 3. 5 divided by 3 is 1.6666... and as an hour is out of 60, round it to 1.7.

I hope this helps!

The rate at which she reads is 26 pages per hour

The given parameters are

Pages = 2 and 3/5

Time = 6 minutes

Convert the time from minutes to hour

Time = 6/60 hour

This gives

Time = 0.1 hour

The rate at which she reads is calculated as:

Rate = Page/Time

This gives

Rate = (2 and 3/5)/0.1 hour

Rewrite as:

Rate = 2.6 pages/0.1 hour

Divide

Rate = 26 pages per hour

Hence, the rate at which she reads is 26 pages per hour

Read more about rate at:

https://brainly.com/question/4931057

#SPJ1

The mean distance is increased by a factor of [tex]2^{3/2}[/tex] if the orbital period  of planet y is twice that of the planet x.

Description of the Kepler's law.

The orbital period T and the mean distance from the sun, A, expressed in astronomical units (AU), are related in accordance with Kepler's third law.

The mathematical formula is,

T² = A³

Here, T denotes the orbital period and A represents the average separation or mean distance from the sun.

Now, if T(y) = 2T(x)

⇒ A'³(y) = 2A³(x)

A'(y) = [tex]2^{3/2}[/tex]A(y)

Thus, if orbital period of planet y is twice the orbital period of planet x, the mean distance is lengthened by a factor of [tex]2^{3/2}[/tex].

Learn more about orbital period here:

https://brainly.com/question/6502290

#SPJ1

Answer:

2 Superscript three-halves

Step-by-step explanation:

Edge

Answer: 120 hr

Step-by-step explanation: 15$ every hr so for 120 hrs it would be 1,800$ plus the signing bonus of 200$ would total 2,000$ but with out the bonus she would have to work 134 hrs for 2,010$

Option B. ($99,242.00, $100,758.01)

a) For n - 1 = 49 degrees of freedom, we have form t distribution tables:

P( t < 2.010) = 0.975

Therefore, P(-2.010 < t < 2.010) = 0.95

Therefore the confidence interval here is obtained as:

X +₋ t 8/√ⁿ

100 \pm 2.010*\frac{2}{\sqrt{50}}

100 \pm 0.5685

(99431.61, 100568.39)

Therefore A is the correct interval here.

Q2) From t distribution tables, we have here:

P(-2.680 < t < 2.680) = 0.99

Therefore the confidence interval here is obtained as:

100 \pm 2.010*\frac{2}{\sqrt{50}}

100 \pm 0.7580

(99242, 100785)

1) A university wants to determine the average salary of its graduating computer science majors. The university asks the graduating classes of 50 students to share their starting salaries when hired. The 50 students had an average salary of $100,000 with a standard deviation of $2,000. Find a 95% confidence interval for the average starting salary of computer science majors from the university.

a - ($99,431.61, $100,568.39)

b - ($99,445.64, $100,554.36)

c- ($99,982.26, $100,017.74)

d - The salaries are not normally distributed so we cannot compute a confidence interval

2) Find a 99% confidence interval for the previous problem.

a - ($99,271.44, $100,728.56)

b - ($99,242.00, $100,758.01)

c - ($99,996.46, $100,003.55)

d - The salaries are not normally distributed so we cannot compute a confidence interval

Learn more about confidence intervals at

https://brainly.com/question/15712887

#SPJ4

The graph of the line is shown in the attached image.

Given that the equation of the line y=-2/3x+1.

The line equation is an algebraic representation of the set of points, which together form a line in an exceedingly frame of reference.

First, we'll take the intercepts of equation y=-2/3x+1 . find

Find the y-intercept

The y-intercept is that the value of y when the worth of x is adequate zero

For x=0

y=-2/3(0)+1

y=1

The y-intercept is that the point (0.1)

Find the x-intercept

The x-intercept is that the value of x when the worth of y is adequate to zero

For y=0

y=-(2/3)x+1

0=(-2/3)x+1

-1=(-2/3)x

x=3/2 or 1.5

The y-intercept is that the point (1.5,0).

To plot the line on a graph, draw the intercepts and connect the dots as shown within the figure.

Therefore, the graph for the line y=-(2/3)x+1 is attached below.

Learn more about graph of line from here brainly.com/question/13438608

#SPJ1

Using it's concept, there is a 0.1667 = 16.67% probability of tossing a head and drawing a red marble.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Hence the probability of tossing a head and drawing a red marble is:

[tex]\frac{1}{2} \times \frac{2}{6} = \frac{1}{6} = 0.1667[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

The value of p(cc and tc) is 0.1173

The distribution of the replies is 0.12, as shown by the two-way table.

We've done that.

520 randomly chosen individuals from the teen, young adult, and adult age groups were asked about their preferred musical genres by the researcher.

The distribution of the answers is shown in the two-way table.

There are 61 teenagers in the country.

seeing as how this is only one of 520,

The probability formula?

P(E) = (Number of favorable outcomes) = Probability of an Event (Sample space).

61/520=0.1173

We calculate 0.1173 by dividing 61 by 520 and rounding to the next hundredth to obtain 0.12.

Thus the value of p(cc and tc) is 0.1173.

Learn more about profit and loss here :

https://brainly.com/question/25698647

#SPJ4

The new cost of the dress on sale given the original price is $122

New cost = 61% of original price

= 61/100 × $200

= 0.61 × 200

New cost = $122

Therefore, the new cost of the dress is $122

Learn more about percentage:

https://brainly.com/question/843074

#SPJ1

Answer:

See below

Step-by-step explanation:

I am not sure about number 22.  I think that they are asking you to apply the same rules to the point (4, -7), if that is what they mean, the answer is (8,10)

8/25 is the probability that more than 8 of them are strikes.

Lets simplify the problem,

We are given that a softball pitcher has a 0.507 probability of throwing a strike for each pitch. Also, the softball pitcher throws 15 pitches.

The above situation can be represented through Binomial distribution;

P(X = r) = 0,1,2,3,,.....

where, n = number of trials (samples) taken = 15 pitches

           r = number of success = more than 8

          p = probability of success which in our question is probability of    

                Throwing a strike for each pitch = 0.507

LET X = Number of strikes

So, it means X ~ n = 15, p = 0.507

So, Probability that more than 8 of them are strikes = P(X > 8)

P(X > 8) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

After putting the values in it we get,

P = 0.323

P= 8/25 approx

8/25 is the probability that more than 8 of them are strikes.

Learn more about Probability on:

https://brainly.com/question/13604758

#SPJ4

None of the points could be added to the graph f(x)=-|x+3| to keep the graph a function

The equation of the function is given as:

f(x) = - |x + 3|

The points are given as:

(0, 3) and (-3, -6)

When x = 0, we have:

f(0) = - |0 + 3|

f(0) = -3 --- different y value from (0, 3)

When x = -3, we have:

f(-3) = - |-3 + 3|

f(-3) = 0 --- different y value from (-3, -6)

This means that the x values point to different y values (this does not represent a function)

Hence, none of the points could be added to the graph f(x)=-|x+3| to keep the graph a function

Read more about functions and relations at:

https://brainly.com/question/2328150

#SPJ1

The set of equations that corresponds to the specified function are

y = 5 - x and 5 - x = 9x².

What is linear equation in two variables?

If an equation is expressed as ax + by + c=0, where a, b, and c are all real integers and a and b, the coefficients of x and y, respectively, are not equal to zero, then it is said to be a linear equation in two variables.

The given equation is :

[tex]y=9x^{2}[/tex] equation 1.

[tex]x+y=5[/tex] equation 2.

From equation 2.

[tex]x+y=5\\y=5-x[/tex]

substituting into 1 equation.

[tex]5-x=9x^{2}[/tex]

The system of equations that is equivalent to the provided function is shown by the resulting equation, which is y = 5 - x and [tex]5-x=9x^{2}[/tex]

To know more about linear equation in two variables visit:

https://brainly.com/question/19939553

#SPJ4

Answer:

[tex] y = \frac{4}{3} x + 5[/tex]

Step-by-step explanation:

The slope is

[tex] \frac{ - 3 - 1}{ - 6 - ( - 3)} = \frac{4}{3} [/tex]

Substituting into point-slope form,

[tex]y - 1 = \frac{4}{3} (x + 3) \\ \\ y - 1 = \frac{4}{3} x + 4 \\ \\ y = \frac{4}{3} x + 5[/tex]

Answer:

The answer that you have highlighted is correct.

Step-by-step explanation:

When you are dividing, you divide the exponents

-10 - (-4)

-10 + 4

-6

Answer:

Using translation concepts, it is found that the transformation used to create this frieze pattern is a 180º rotation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

8+6=14

14/30 = 7/15

So the final answer is 7/15

pls thank me pls :(