Is the line x=-3 parallel to the line y=1/3

Answer:

In 26 seconds to complete a transaction, 2 products are being purchased.

Step-by-step explanation:

1 item  = 9 seconds

Time taken in all to check out = 8 seconds

Time taken to shop = 26 seconds

Now as check out process takes 8 seconds, so the

Time left to ACTUALLY SHOP =  Total Time  - Time Used to check out

                                                  = 26 seconds = 8 seconds = 18 seconds

Shopping of 1 item = 8 seconds

Shopping of 2 items  = 2 x ( Time taken in 1 item) = 2 x  9 = 18 seconds

So, in 18 seconds, 2 clothing item can be selected.

Hence,in 26 seconds to complete a transaction, 2 products are being purchased.

Answer:

The number will be 15

Hope you have a great day!

Answer:

15 is the correct answer

Answer:

Step-by-step explanation:

312

Answer:

36.92%

Step-by-step explanation:

180-132=48. Now we have to find 48 of 130 to find the percentage increase. 48 out of 130 = which equals 36.92.

Increase in volume is 802424.77 cubic mm/s when the diameter is 80 mm.

Let the radius of the sphere be R.

So, the volume of the sphere is given by,

V = \(\frac{4}{3}\pi r^3\)

Differentiating the above relation with respect to time 't' we get,

dV/dt = 4\(\pi r^2\). dr/dt

Given that, the change of radius (dr/dt) = 4 mm/s

When the diameter is 80 mm, then the radius = 80/2 = 40 mm

So the volume change when the diameter is 80 mm is given by,

dV/dt \(=4\pi\times40^2\times4\approx 802424.77\) cubic mm/s

Hence the volume increase in 802424.77 cubic mm/s.

To know more about Sphere refer to:

https://brainly.com/question/22807400

#SPJ4

The value of 939 dx d939 d 939 (cos x) is cos x by computing first few derivatives and looking for a pattern.

To find 939 dx d939 d 939 (cos x), we need to compute the first few derivatives of cos x and look for a pattern.

The derivative is a key idea in calculus that gauges how quickly a function alters in relation to its input variable. In terms of geometry, the slope of the tangent line to the function graph at a particular location is represented by the derivative. The derivative has numerous crucial uses in mathematics, physics, engineering, and other disciplines, including optimisation, identifying extrema and inflection points, and simulating the rates of change of events that occur in the actual world. The derivative of various functions can be found using a variety of methods, including the power rule, product rule, chain rule, and quotient rule.

The first derivative of cos x is -sin x, the second derivative is -cos x, the third derivative is sin x, and the fourth derivative is cos x. We can notice that the pattern of the derivatives of cos x is that they cycle through the functions cos x, -sin x, -cos x, and sin x.

Since 939 is a multiple of 4 (939/4 = 234.75), we know that the 939th derivative of cos x will be the same as the fourth derivative of cos x, which is cos x.

Therefore, 939 dx d939 d 939 (cos x) = cos x.

Learn more about derivatives here:

https://brainly.com/question/31959163

#SPJ11

Answer:0.375

Step-by-step explanation:

3/4=0.75

0.75/2=0.375

(3/4)/2=0.375

If we allow the number of edges between any two nodes to be more than two, we would need to use the adjacency matrix to accurately store that graph information.

The adjacency matrix is a matrix representation of a graph where the rows and columns represent the vertices and the values in the matrix represent the number of edges between two vertices.

In this case, we could have values greater than 1 in the matrix to represent multiple edges between two vertices.

On the other hand, the adjacency list data structure would not be able to accurately store this information, as it represents each vertex and its adjacent vertices in a linked list format.

It would be difficult to represent multiple edges between two vertices using this data structure.

To learn more about matrix refer below:

https://brainly.com/question/22799167

#SPJ11

Door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

The term sampling  selecting refers to the selection of a small proportion of the population extrapolating the results the results obtained from this small group to represent the characteristics of the entire population. This sample is chose in a manner as to reflect the properties the generality of the population.

Hence, door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

Learn more about sampling:https://brainly.com/question/13287171

#SPJ4

Answer:

Step-by-step explanation:

Slope: 5

Point: (3, -7)

Equation = ? = y = mx + b

y - intercept = ?

Step 1. Input the coordinates into the equation of y = mx + b.

y = 5x + b

y-coordinate = -7

x-coordinate = 3

-7 = 5(3)+b

Step 2. Solve for b.

-7 = 15 + b

-15  -15

b = -33

Step 3. Make the y equation.

y = mx + b

mx = 5x

b = -22

y = 5x - 22

Hope it helped,

Kavitha Banarjee

The statement that could be used to prove that lines r and s are parallel is given as follows:

m < 8 = m < 6.

When two parallel lines are cut by a transversal line, the corresponding angles are the angles that are in the equivalent position for each parallel line.

If the lines are in fact parallel, then the two angles are congruent.

From the image given at the end of the answer, the corresponding angles for this problem are given as follows:

Angle 8 and angle 6.

Hence the statement that proves by contradiction that the two lines are parallel is given as follows:

m < 8 = m < 6.

Meaning that the correct option is given by the third option.

The problem is given by the image presented at the end of the answer.

More can be learned about corresponding angles at https://brainly.com/question/24607467

#SPJ1

Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

Read more about Line of best fit at; https://brainly.com/question/1441182

#SPJ1

Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

Resolviendo un sistema de ecuaciones, vemos que se venden 6 libros de secundaria 4 y 6 libros de secundaria 1.

Primero definimos dos variables:

Sabemos que se venden 12 libros en total, entonces:

x + k = 12

Tambien sabemos que se recauda un total de $82, entonces:

x*$8 + k*$6 = $82

Entonces tenemos dos ecuaciones.

a) Usando la primer ecuacion, podemos aislar x para tener:

x = 12 - k

b) Ahora podemos reemplazar eso en la otra ecuación para solucionar el sistema.

(12 - k)*$8 + k*$6 = $82

$96 - $2*x = $82

$2*x = $12

x = $12/$2 = 6

Es decir se venden 6 libros de secundaria 4, y como se venden 12 libros en total, los otros 6 libros vendidos son de secundaria 1.

Si quieres aprender más sobre sistemas de ecuaciones:

https://brainly.com/question/13729904

#SPJ1

Answer:

C = 5785.39

Step-by-step explanation:

C = 5,785 + .023t

.023 * 17 = .391

.391+ 5785 = 5785.391

hope this helps

There are 3,920 ways to form such a committee from a group of 8 men and 8 women.

To form a committee of 3 men and 4 women, we need to select 3 men from a group of 8 men and 4 women from a group of 8 women.

The number of ways to select 3 men from a group of 8 men is:

8 choose 3 = (8!)/(3!5!) = 56

Similarly, the number of ways to select 4 women from a group of 8 women is:

8 choose 4 = (8!)/(4!4!) = 70

Therefore, the total number of ways to form a committee of 3 men and 4 women is:

56 \(\times\) 70 = 3,920

So, there are 3,920 ways to form such a committee from a group of 8 men and 8 women.

To learn more about number of ways visit:  https://brainly.com/question/29110744

#SPJ11

Answer:

C)  240 feet

Step-by-step explanation:

't' represents seconds so we need to find:

h(5) = -16(5²) + 128(5)

h(5) = -16(25) + 640

h(5) = -400 + 640

h(5) = 240 feet

Check by Graphing

Answer:

Perpendicular

Step-by-step explanation:

the area of the surface that corresponds to the part of the plane 13x + 5y + z = 65 lying in the first octant is 32.5 square units.

To find the area of the surface that corresponds to the part of the plane 13x + 5y + z = 65 lying in the first octant, we need to find the equation of the portion of the plane that lies in the first octant and then calculate the surface area of that portion.

First, we need to find the intercepts of the plane with the x, y, and z-axes. Setting x = 0, we get:

5y + z = 65

Setting y = 0, we get:

13x + z = 65

Setting z = 0, we get:

13x + 5y = 65

Solving these three equations simultaneously, we get:

x = 5, y = 13, z = 0

So the plane intersects the x-axis at (5,0,0), the y-axis at (0,13,0), and the z-axis at (0,0,65).

The part of the plane that lies in the first octant is bounded by the x-axis, the y-axis, and the line connecting (5,0,0) and (0,13,0). This triangular region has a base of length 5 and a height of 13, so its area is (1/2)513 = 32.5.

To know more about area visit:

brainly.com/question/1631786

#SPJ11

Answer:

see below

Step-by-step explanation:

The measure of a minor arc is the same as the angle that forms it.

1. Since ∠GBJ = 90°, the answer is 90°.

2. ∠HBI = 180° - 151° = 29° so the answer is 29°.

3. ∠HBJ = 180° so the answer is 180°.

4. The reflex angle ∠GBI = 90 + 151 = 241° so the answer is 241°/

5. Since ∠GBJ = 90°, the reflex angle ∠GBJ = 360 - 90 = 270° so the answer is 270°.

6. ∠GBH = 180 - 90 = 90° so the reflex angle ∠GBH = 360 - 90 = 270° so the answer is 270°.

The volume of gasoline in the cylindrical tank is increasing at 23.56 ft.³/sec when the depth of the gasoline in the tank is 6 feet. Computed using differentiation.

Since the tank is cylindrical in shape, its volume can be written as:

V = πr²d,

where V is its volume, r is the radius, and d is the depth.

The radius is constant, given r = 5ft.

Thus the volume can be shown as:

V = π(5)²d,

or, V = 25πd.

Differentiating this with respect to time, we get:

δV/δt = 25πδd/δt ... (i),

where δV/δt, represents the rate of change of volume with respect to time, and δd/δt represents the rate of change of depth with respect to time.

Now, we are given that when the depth increases at 0.3 ft./sec when the depth of the gasoline is 6 feet.

Thus, we can take δd/δt = 0.3 ft./sec, in (i) to get:

δV/δt = 25πδd/δt = 25π(0.3) ft.³/sec = 23.56 ft.³/sec.

Thus, the volume of gasoline in the cylindrical tank is increasing at 23.56 ft.³/sec when the depth of the gasoline in the tank is 6 feet. Computed using differentiation.

The question written correctly is:

"Gasoline is pouring into a vertical cylindrical tank of radius 5 feet. When the depth of the gasoline is 6 feet, the depth is increasing at 0.3 ft./sec. How fast is the volume of gasoline changing at that instant?"

Learn more about differentiation at

https://brainly.com/question/15006940

#SPJ4

Answer:

C

Step-by-step explanation:

I took it on edg 2020

The Complex Alternative form to the expression (5[cos(π/4) + i sin(π/4)])^3 is given as: (Option C).

A complex number of equations will take the form x + yi, where x and y are real numbers and i is an indeterminate that satisfies the rule i² = -1.

Hence, the solution to the above is given as follows:

Step 1 - Ludooph's number pi is given as:

π ≈ 3.14159265

Step 2 - Divide  3.14159265/4

= 0.78539816

Step 3

Cos (0.78539816)

= 0.70710678

It is assumed that the trigonometric angle argument is in radians.

Step 4

Divide: 3.14159265 / 4

= 0.78539816

Step 5 - find the Sin of the result of step 4

sin(0.78539816)

= 0.70710678

It is assumed that the trigonometric angle argument is in radians.

Step 6

Multiply i by the result of Step No 5

=  i * 0.70710678

= 0.7071068i

Step 7 - Add the result of step no. 3 and the result of step number 6

= 0.70710678 + 0.7071068i

= 0.7071068+0.7071068i

Step 8 Multiply 5 by the result of step 7

= 5 * (0.7071068+0.7071068i)

= 5 * 0.70710678118655 + 5 * 0.70710678118655i

= 3.53553391+3.53553391i

= 3.53553391 +i(3.53553391)

= 3.5355339+3.5355339i

Step 9 - Exponentiate the results of Step 8 to the third power:

= (3.5355339+3.5355339i) ^ 3

= (5 × ei π/4)3 = 53 × ei 3 × π/4

= 125 × ei 3π/4

= -88.3883476+88.3883476i

If left in the Alternate Complex form, we have:
125[cos(3π/4) + i sin(3π/4)]

Learn more about Complex Forms at:
https://brainly.com/question/1466117?
#SPJ6

Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

Answer:

16.5 you have to add the divde

The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).

The slope-intercept formula is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation in the question

2x - y = -3

First, we solve form for y and reorder in slope intercept form.

2x - y = -3

Subtract 2x from both sides

2x - 2x- y = -3 - 2x

- y = -3 - 2x

Divide each term by -1

y = 3 + 2x

Reorder in slope intercept form

y = 2x + 3

To find the y-intercept, replace x with zero and solve for y

y = 2(0) + 3

y = 3

Therefore, the y-intercept is 3.

Learn more about equation of line here: brainly.com/question/2564656

#SPJ1

\({ \pmb{ \hookrightarrow}} \: \underline{\boxed{\pmb{\sf{Area_{(Circle)} \: = \: \pi \: {r}^{2} }}}} \: \pmb{\red{\bigstar}} \\ \)

_________________________________________________

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \pi \: {r}^{2} \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times {8}^{2} \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 8 \times 8 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 64 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{1408} {7} \: \: {yard}^{2} \: \\ \)

_________________________________________________

→ Radius = 18/2 = 9 inch

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \pi \: {r}^{2} \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times {9}^{2} \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 9 \times 9 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 81 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{1782} {7} \: \: {inch}^{2} \: \\ \)

_________________________________________________

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \pi \: {r}^{2} \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times {10}^{2} \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 10 \times 10 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 100 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{2200} {7} \: \: {yard}^{2} \: \\ \)

_________________________________________________

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \pi \: {r}^{2} \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times {6}^{2} \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 6 \times 6 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 36 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{792} {7} \: \: {inch}^{2} \: \\ \)

_________________________________________________

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \pi \: {r}^{2} \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times {4}^{2} \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 4 \times 4 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 16 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{352} {7} \: \: {ft}^{2} \: \\ \)

_________________________________________________

→ Radius = 10/2 = 5 ft

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \pi \: {r}^{2} \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times {5}^{2} \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 5 \times 5 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 25 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{550} {7} \: \: {ft}^{2} \: \\ \)

_________________________________________________

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \pi \: {r}^{2} \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times {1}^{2} \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 1 \times 1 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 1 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \: {yard}^{2} \: \\ \)

_________________________________________________

→ Radius = 14/2 = 7 inch

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \pi \: {r}^{2} \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times {7}^{2} \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 7 \times 7 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 49 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{1078} {7} \: \: \: \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: 154 \: \: {inch}^{2} \: \\ \)

_________________________________________________

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \pi \: {r}^{2} \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times {2}^{2} \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 2 \times 2 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{22} {7} \: \times 4 \\ \)

\(\longrightarrow \sf \: Area_{(Circle)} \: = \: \frac{88} {7} \: \: {yard}^{2} \: \\ \)

_________________________________________________

The length of the rectangle is 15 dm and the width is 13 dm.

Let's assume that the length of the rectangle is "L" and the width is "W".

From the problem statement, we have two pieces of information:

The area of the rectangle is 195 dm²:

Area = Length x Width

195 dm² = L x W

The width is two less than the length:

W = L - 2

Now, we can substitute the second equation into the first equation to eliminate W and get an equation with only one variable:

195 dm² = L x (L - 2)

Simplifying the equation:

195 dm² = L² - 2L

L² - 2L - 195 dm² = 0

To solve for L, we can use the quadratic formula:

L = (-b ± √(b² - 4ac)) / 2a

Where a = 1, b = -2, and c = -195.

L = (2 ± √(2² + 4 x 1 x 195)) / 2 x 1

L = (2 ± √4 + 780) / 2

L = (2 ± √784) / 2

L = (2 ± 28) / 2

L = 15 or L = -13

Since the length can't be negative, the length of the rectangle is L = 15 dm.

Now we can use the equation W = L - 2 to find the width:

W = 15 dm - 2 dm

W = 13 dm

Therefore, the length of the rectangle is 15 dm and the width is 13 dm.

To know more about width click here:

brainly.com/question/30173060

#SPJ4

Answer:

A set of four data pairs with a correlation coefficient r = –0.8

Step-by-step explanation:

-0.8²=.64

It's the closest to 1. I also just took the quiz.

Answer:

c edge 2020

Step-by-step explanation:

The length x of a side of the small inner square can be determined using the properties of similar triangles.

To find the length x, we can set up a proportion between the small inner square and the larger outer square.

Let's denote the side length of the small inner square as s and the side length of the larger outer square as S.

Since the small inner square is completely contained within the larger outer square, the ratio of their side lengths will be the same as the ratio of their corresponding sides.

Therefore, we can set up the following proportion:

s / S = x / (x + 10)

Here, the x + 10 represents the side length of the larger outer square, as it is 10 units longer than the side length of the small inner square.

To solve for x, we can cross-multiply the proportion:

s * (x + 10) = x * S

Expanding the equation:

sx + 10s = xS

Rearranging the equation to isolate x:

sx - xS = -10s

Factoring out the common term x:

x(s - S) = -10s

Dividing both sides by (s - S):

x = -10s / (s - S)

Now, we have an expression for x in terms of s and S.

It's important to note that the given information is insufficient to find the exact value of x without additional measurements or equations. The value of x will depend on the specific dimensions of the small inner square and the larger outer square.

to know more about small inner square here:

brainly.com/question/30517179

#SPJ11