if quadrilateral PQRS is an isoceles trapezoid if RP=12 then SQ= ?

Answer: Use the steps that are easiest to draw a parabola!

Step-by-step explanation:

I used Desmos, here are the key points.

Vertex: (-5,-2)

Extra points to graph:

Hope this helps!

The required it will take 2 hours for the friends to put 7 km between them.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let's call the number of hours it takes the friends to be "x". During that time, Rae will have traveled 2x km. And Dana will have traveled 3(x-1) km (since she left an hour later).

We can now set up an equation:

2x + 3(x-1) = 7

Expanding the second term:

2x + 3x - 3 = 7

Combining like terms:

5x - 3 = 7

Adding 3 to both sides:

5x = 10

Finally, dividing both sides by 5:

x = 2

So it will take 2 hours for the friends to put 7 km between them.

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The volume of the sphere is 1437.33 ft³

A sphere's volume V is four-thirds of pi times the radius cubed.   A hemisphere's volume is half of the volume of the associated sphere.

The volume of a spherical.

V= 4/3 πr³

radius= 7ft

So,

V= 4/3*22/7*7*7*7

V= 30184/21

V = 1437.33  ft³

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Answer:

x = 30

Step-by-step explanation:

well the two agnles are congruent so they have to equal the same angle

x+ 90 = 4x

solve for x bye subtracting x from 90

90 = 3x slove by dividing 90 by 3 getting x alone

90/3 = x

Answer:

1200

Step-by-step explanation:

it's just 400x3 which is 1200

Answer:

Step-by-step explanation:

y =  bushels of carrots picked

6 = bushels of carrots per hour (rate of change)

x = time worked at picking

2 = initial number of bushels picked before time starts.

My original answer was deleted for "Violating community standards" but I have no idea why my answer ran afoul of the moderator's interpretation of the standard. Also I see no way to protest the action or to learn from my "mistake".

The rate of return for the entire portfolio, given the amount allocated to each of the four securities is

The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.

The rate of return for the portfolio is therefore :

= ∑ ( proportion invested x rate of return )

= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x  - 12 % )

= 7. 8 %

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The equation lyl = -7, does not have solution because the absolute value of any number is always a positive number. Then, you have;

lyl = -7 => b) No solution

The equation lyl = 7, has the solution y=-7 and y=7, with any of this number for y, you obtain 7.

lyl = 7 => a) -7,7

Answer and Step-by-step explanation:

a. The computation of the frequency of lottery winners from 19 age to 40 age is

Given that

From [20,29] , the frequency is 3

And, from  [30,39] , the frequency is 10

So, the total frequency is 13

b. The percentage of lottery winners who has 70 years or older is

Here we considered the relative frequency

= 0.1 + 0.0333

= 0.1333

= 13.33%

c. The relative frequency of ages under 40 is

= 0.1 + 0.3333

= 0.43333

= 43.33%

d. The cumulative relative frequency younger than 50 is

= 0.1 + 0.3333 + 0.0667

= 0.5

Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

Answer:

Step-by-step explanation:

→ (7*4-4³)/6

→ (28-64)/6

→ -36/6

→ -6

As a result, the following parametric equations describe the motion of the heat-seeking particle: x = a - 2t and y = b - 4t

As per the question given,

To find the path of a heat-seeking particle placed at point P on a metal plate with a temperature field T(x,y) = 100 - x^(2) - 2y^(2), we need to use the gradient vector of T(x,y).

The gradient of T(x,y) is given by:

∇T(x,y) = (-2x, -4y)

The heat-seeking particle moves in the direction of maximum increase of temperature, so it moves in the direction of the gradient vector, that is, (-2x, -4y).

To find the path of the particle, we need to integrate the gradient vector starting at point P = (a,b), where a and b are the coordinates of the point on the metal plate where the particle is placed.

So the path of the heat-seeking particle is given by the following parametric equations:

x = a - 2t

y = b - 4t

where t is the parameter that represents time.

These equations represent a straight line in the direction of the gradient vector of T(x,y). The particle moves from point P in the direction of the gradient vector, with a speed proportional to the magnitude of the gradient vector.

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Answer:

  A, F

Step-by-step explanation:

Points B, C, D, E have x-values that are already in the domain of the red function graph. Domain values cannot be repeated if the relation is to remain a function. Those points must be excluded.

The red function graph is not defined for the x-values of points A and F, so those can be added to the relation and it will remain a function.

Points A and F could be included.

Step-by-step explanation:

Area of a parallelogram ABCD is 432cm

.If BC // AD and the distance between BC and AD is 20 cm, what is the measure of the side BC of parallelogram ABCD?

Answer:1 or 2

Step-by-step explanation:

Answer:

how are we ment to know

Answer:

108 inches^2

Step-by-step explanation:

Multiple each side by 1.5

8x1.5=12

6x1.5=9

then to find the area, multiply the sides together.

Answer:

Answer is A l and ll

Step-by-step explanation:

Hannah has been researching sales of garden supplies. She wants to show the pattern that sales follow over the course of a year. The line graph is most effective for the sales. The correct option is (D).

An individual data point is connected by a line in a line graph, sometimes referred to as a line plot or a line chart. A line graph shows numerical values over a predetermined period of time.

here, we have,

Line graphs have two axes that are graphically represented as x and y, respectively (x,y).

There are three types of line graph which are as follows:

Multiple line graph.

Simple line graph.

Compound line graph.

Hence, Hannah has been researching sales of garden supplies. She wants to show the pattern that sales follow over the course of a year. The line graph is most effective for the sales.

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Complete question:

Hannah has been researching sales of garden supplies. She wants to show the pattern that sales follow over the course of a year. Which type of graphic would be most effective?

A. Bar chart

B. Pie chart

C. Flow chart

D. Line graph

Answer:

12x9= 124

Step-by-step explanation:

if you multply it right

Answer:

fraction: 38/100 (or 19/50)

decimal: 0.38

percent: 38%

Step-by-step explanation:

Answer:

    \(\textsf{Choice A } \quad y = \dfrac{5}{3}x + 1\)

Step-by-step explanation:

Slope intercept form of a line equation is

y = mx + b

where

m = slope

b = y-intercept

A perpendicular line to y = mx + b will have a slope of -1/m

Let's first find the equation for line z in slope-intercept form
Slope m for a line  = (y2- y1)/(x2 - x1) where x1, y1 and x2, y2 are two points on the line

Slope of line z is
\(m = \dfrac { 2 - (-1) }{-2 - 3} = \dfrac{3}{-5} = - \dfrac{3}{5}\)

So line z will have an equation of the form
\(y = -\dfrac{3}{5}x + b\)

We know that a line perpendicular to this line will have a slope of
\(- \dfrac{1}{-\dfrac{3}{5}} = \dfrac{5}{3}\)

So the equation of the perpendicular line is
\(y = \dfrac{5}{3}x + b\)

Only one of the 4 choices, name choice A has this slope of 5/3

Therefore the correct answer choice is A

There is no need to compute b, the y intercept but if you wanted to, this is how you would do it:

The perpendicular line passes through (3, 6). This means when x = 3, y =6

Substitute these values of x, y into the equation for the perpendicular line and solve for b

\(y = \dfrac{5}{3}x + b\\\\\text{When x = 3, y = 6}:\\\\6 = \dfrac{5}{3} \cdot 3 + b\\\\6 = 5 + b\\\\b = 6 - 5 = 1\\\\\text{So, the equation of the perpendicular line is }\\y = \dfrac{5}{3}x + 1\)

This corresponds to Choice A

Answer:

Amount of water are equivalent = 15,000

Step-by-step explanation:

Given:

5 ppb (parts per billion)

Drop of water = 75,000

Find:

How many gallons of water are equivalent

Computation:

Amount of water are equivalent = Drop of water / Parts per billion

Amount of water are equivalent = 75,000 / 5

Amount of water are equivalent = 15,000

Answer:

357.50$

Step-by-step explanation:

550 x 35% =192.50$

550 - 192.50 = 357.50$

Answer:

125 to start with

Step-by-step explanation:

For given  regression model, the number 59.89 in the table tells us that for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

In this question we have been given a summary of regression model.

We need to explain the meaning of the number 59.89 in the table.

For given regression model, to view the results of the model, we can use the summary() function in R programming.

In given summary consider the 'Coefficients' table.

The first row gives the estimates of the y-intercept, and the second row gives the regression coefficient of the model.

The 'Estimate' column is the estimated effect, also called the regression coefficient or r² value.

The number 59.89 in the table is coefficient for IsSandwich.

This number tells us that for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

Therefore, the meaning of the number 59.89 in the table: for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

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The complete question is as shown in the following image

Answer:

Step-by-step explanation:

Answer:

  \(cos(a-b) = \frac{117}{125}\)

Step-by-step explanation:

Explanation

Given that

 \(sina = \frac{7}{25} , cos a = \frac{24}{25} , sinb =\frac{3}{5} and cosb =\frac{4}{5}\)

Cos(a-b) = cosa cosb + sina sinb

             \(cos(a-b) = \frac{24}{25} \frac{4}{5} +\frac{7}{25} \frac{3}{5}\)

            \(cos(a-b) = \frac{96}{125} +\frac{21}{125} = \frac{117}{125}\)

Final answer:-

 \(cos(a-b) = \frac{117}{125}\)

The answers are as follows:

a) X denotes the number of the california residents that have adequate earthquake insurance

b)  x = 1 ,2 ,3 ......

c) P( X=x ) = 0.3(1-0.3) ^ (x-1)

d)  P( X=1) +  P( X=2)  + P( X=3) +  P( X=4)

e) 0.49

f)0.42

g)0.33

It is a branch of mathematics that deals with the occurrence of a random event.

The complete question is

It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies. a. In words, define the random variable X. b. List the values that Xmay take on. c. Give the distribution of X.X~ _____(_____,_____) d. WhatistheprobabilitythatwemustsurveyjustoneortworesidentsuntilwefindaCaliforniaresidentwhodoes not have adequate earthquake supplies? e. What is the probability that we must survey at least three California residents until we find a California resident who does not have adequate earthquake supplies? f. HowmanyCaliforniaresidentsdoyouexpecttoneedtosurveyuntilyoufindaCaliforniaresidentwhodoesnot have adequate earthquake supplies? g. How many California residents do you expect to need to survey until you find a California resident who does have adequate earthquake supplies?

given that 30% of California residents have adequate earthquake supplies.

a) variable X denotes the number of the california residents that have adequate earthquake insurance

b) x = 1 ,2 ,3 ......

c) p=0.3

P( X=x ) = 0.3(1-0.3) ^ (x-1)

d) P( X=1) +  P( X=2)  + P( X=3) +  P( X=4)

= 0.3(1-0.3) ^ 0 + 0.3(1-0.3) ^1 + 0.3(1-0.3)^ 2 +...

e) P( X≥ 3) = 1- P(X<3)

= 1- (P(X=1) + (X=2))

= 1- 0.051

= 0.49.

f) E(X)= 1/P

p is the resident who does not have adequate earthquake supplies

p= 1-0.3

p = 0.7

E(X) = 1/0.7

= 0.42

g) E(X) =  1/q

= 1/0.3

= 3.333

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Answer:

Step-by-step explanation:

\(-8x - 10 > 7x + 20\)

First subtract 7x from both sides of the inequality

That's

\( - 8x - 7x - 10 > 7x - 7x + 20 \\ - 15x - 10 > 20\)

Add 10 to both sides of the inequality

\( - 15x + 1 0 - 10 > 20 + 10 \\ - 15x > 30\)

Divide both sides by - 15

\( \frac{ - 15x}{ - 15} > - \frac{30}{15} \)

Since the denominator is negative the sign will change

We have the final answer as

Hope this helps you

Answer:

18. 2,970 orbits.

19. 12,00 pounds

20. Vic’s town by 52,000

Step-by-step explanation: