Use prime factorization to find the LCM and the HCF of 210 and 112​

Answer:Both the means and the standard deviations of Dwayne’s and Alisha’s graphs must be the same.

Step-by-step explanation:

The solution is, the function  y=10+×. is plotted below.

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

here, we have,

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

It is a straight line because the degree of the variable or its maximum power is one.

Put x = 0

y = 10 + 0 = 10, therefore one point (0,10)

Put y = 0

0 = 10 +x

Another point since x = -10. (-10,0)

As shown in the graph below, a straight line should be drawn through both locations.

Any point on the line that does not satisfy the equation is a nonexistent point.

Hence the function  y=10+×. is plotted below.

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Complete question:

Dwayne graphed the equation y=10+×. Which point does the graph not pass through?

Answer:

LM, LK, MK

Step-by-step explanation:

Answer:

Line ML, Line LK, and line MK

Step-by-step explanation:

Just remember that the biggest angle goes with the biggest side. And the pair is across. So 108 is a pair with line MK etc.

Answer:

I have shown all the explanation s on paper if you don't mind.

Answer:

a) x = 12, y = 24

Step-by-step explanation:

Let the leftmost triangle be called A

And the rightmost triangle be called B

Triangle A) Recall that the hypotenuse in a right isosceles triangle is the length of a leg multiplied by √2

To find x:

Triangle B) Recall that the leg opposite to the 30° angle in a 30°-60°-90° triangle is always half the hypotenuse

Since we know that the leg opposite to 30° is 12 ( which is x), and the hypotenuse is y, we can solve for y

Solve for y:

x = 12, y = 24

-Chetan K

Answer:

20:5

Step-by-step explanation:

There were 25 kids and 20 of them watched the movie, meaning only 5 people did not watch so it is 20:6.

Answer:

24x^2+9x-xya

Step-by-step explanation:

add 3x^2+21x^2=24x^2

7xy+ negative 8xy=negative xy

The equation for the relationship between x (volume of flour in cups) and y (number of muffins) is y = 4x. This means that for every cup of flour used, Josiah can bake 4 muffins.

The equation for the proportional relationship between the volume of flour (x) and the number of muffins (y) that Josiah bakes can be written as y = kx, where k is the constant of proportionality. In this case, k represents the number of muffins that can be made with one cup of flour.

To solve for the constant of proportionality, we need more information. If Josiah bakes a known number of muffins using a certain amount of flour, we can use that data to find the value of k. For example, if Josiah bakes 12 muffins using 3 cups of flour, we can substitute these values into the equation:

12 = k * 3

To find k, we divide both sides of the equation by 3:

k = 12 / 3

k = 4

So, the equation for the relationship between x (volume of flour in cups) and y (number of muffins) is y = 4x. This means that for every cup of flour used, Josiah can bake 4 muffins.

In summary, the equation y = 4x represents the proportional relationship between the volume of flour (x) and the number of muffins (y) that Josiah bakes. The constant of proportionality, 4, indicates that for every cup of flour, Josiah can bake 4 muffins. This equation can be used to calculate the number of muffins Josiah can bake based on the amount of flour he has available or to determine the amount of flour needed to bake a desired number of muffins.

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Answer: So 1.2 liters = 1,200 mililiters. And after he drinks 200 mililiters: 1,200 - 200 = 1,000 mililiters. It is also 1 liter. Answer: There is 1,000 mililiters or 1 liter left in Ed`s sports bottle.

HOPE THIS HELPS

The probability that exactly 4 total launches will be performed until an unsuccessful launch occurs is approximately 0.0720 or 7.2%

The probability of exactly 4 total launches being performed until an unsuccessful launch occurs, we can use the geometric probability formula.

In this case, the probability of a successful launch (p) is 0.7 (since the probability of an unsuccessful launch is 0.3). We want to find the probability of 4 successful launches followed by an unsuccessful launch.

The probability of exactly 4 successful launches followed by an unsuccessful launch can be calculated as follows:

P(4 successful launches followed by an unsuccessful launch) = (p⁴) × (1-p)

P(4 successful launches followed by an unsuccessful launch) = (0.7⁴) × (1-0.7)

P(4 successful launches followed by an unsuccessful launch) = 0.7⁴ × 0.3

P(4 successful launches followed by an unsuccessful launch) = 0.2401 × 0.3

P(4 successful launches followed by an unsuccessful launch) ≈ 0.0720

Therefore, the probability that exactly 4 total launches will be performed until an unsuccessful launch occurs is approximately 0.0720 or 7.2%

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The acceleration of the mass at time t=1 is approximately -19.42 inches/second^2.

To find the velocity and acceleration of the mass attached to a vertical spring at time t=1, we need to differentiate the position function with respect to time.

First, we can find the velocity function v(t) by taking the derivative of the position function s(t) with respect to time t:

v(t) = s'(t) = 5cos(2t) * 2 = 10cos(2t)

Plugging in t=1, we get:

v(1) = 10cos(2) ≈ -3.42 inches/second

Therefore, the velocity of the mass at time t=1 is approximately -3.42 inches/second.

Next, we can find the acceleration function a(t) by taking the derivative of the velocity function v(t) with respect to time t:

a(t) = v'(t) = -20sin(2t)

Plugging in t=1, we get:

a(1) = -20sin(2) ≈ -19.42 inches/second^2

Therefore, the acceleration of the mass at time t=1 is approximately -19.42 inches/second^2.

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Answer:

D) 20⁰

Step-by-step explanation:

EDF = 180-100=80⁰

EFD= 80⁰+80⁰=160⁰

180⁰-160⁰=20⁰

Answer:

I would say D, 20°

Step-by-step explanation:

angles on a straight line should be equal to 180°. so 180 -100 = 80° inside.

angles inside a triangle should also be 180. So, 80° + 80° =160°. to get the other angle subtract 160 from 180 to get 20°

Answer:

a = 23

c= 13

this is the answer

In conclusion Triangles 2 and 6 do not have hypotenuses that can be arranged on a single straight line with the hypotenuses of Triangles 1, 4, and 5. Triangle 3 does not have a hypotenuse that can be arranged on a single straight line with any of the other triangles.

Why it is?

Triangles 1, 4, and 5 have hypotenuses that can be arranged on a single straight line and therefore represent similar right triangles.

In Triangle 1, the hypotenuse is the longest side and is opposite the right angle.

In Triangle 4, the hypotenuse is the shortest side and is adjacent to the right angle.

In Triangle 5, the hypotenuse is the diagonal of the square and connects two opposite corners.

Triangles 2 and 6 do not have hypotenuses that can be arranged on a single straight line with the hypotenuses of Triangles 1, 4, and 5. Triangle 3 does not have a hypotenuse that can be arranged on a single straight line with any of the other triangles.

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Answer:

f(3) = 4(3)-2 = 12-2 = 10

Step-by-step explanation:

By comparing f(3) and f(x), you can see that it is basically replacing the x in the equation with the value of 3.

Answer:

2x⁶ + 16x⁵ + 30x⁴

Step-by-step explanation:

area of rectangle with height 2x⁴ and width x²+8x+15

area = height x width

2x⁴( x²+8x+15)

2x⁴( x²) +2x⁴(8x)+ 2x⁴(15)

2x⁴⁺² + 16x⁴⁺¹ + 30x⁴

2x⁶ + 16x⁵ + 30x⁴

the area of the rectangle in polynomial which is in standardised form is 2x⁶ + 16x⁵ + 30x⁴

Answer: it would take her 25 minutes I believe

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The correct graph of the polynomial is  \(4(x-2)^2-1\)

The given parent function is \(f(x) = x^2\)

This means that the graph would be a parabola

because the highest degree is 2

And the graph of \(4(x-2)^2-1\)

is 2 units to the right and 1 unit vertically down

And vertically stretched by 4 units

we know that the graph of f (x) = x^2 is a parabolic graph and is drawn in the first and the second quadrant

Thus the graph of the this equation is also drawn similarly :

the graph is shown below :

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The given function is g(x) = log3(-x - 2)To find the domain of the function, we should look for the possible values of x that makes the function undefined.

Since the function contains a logarithm, the argument inside the logarithm should be greater than 0.

Since we have negative x inside the logarithm, the domain will be restricted by the negative values of x.

Therefore, the domain of the function is given by \((-\infty,-2)\)

So, the correct option is \((-\infty,-2)\)

The graph of the given function is shown below:

Graph of g(x) = log3(-x - 2)

The vertical asymptote of the function is x = -2 which means that the function is undefined at x = -2 and less than -2.

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Answer:

Rotation then translation

Step-by-step explanation:

C on Edg2020

Answer:

c

Step-by-step explanation:

Answer:

Cost of ride ticket = $5

Cost of game ticket = $4

Step-by-step explanation:

Given that:

Let ;

game ticket = g

Ride ticket = r

Jacob :

6g + 3r = 39 - - - (1)

Emily :

2g + 2r = 18 - - - - (2)

Divide (2) b y 2

g + r = 9 - - - - (3)

From (3)

g = 9 - r

Substitute ; g = 9 - r into (1)

6(9 - r) + 3r = 39

54 - 6r + 3r = 39

54 - 3r = 39

-3r = 39 - 54

-3r = - 15

r = 5

Put r = 5 in (g = 9 - r)

g = 9 - 5

g = 4

Hence,

Cost of ride ticket = $5

Cost of game ticket = $4

By using the Unitary method, $468 was spent on newspapers in 52 weeks.

Unitary method is a method used for finding the unit cost in which we divide the total cost by the total number of articles and to find the cost of more than one article, we multiply the unit cost by the number of articles required.

Cost of newspapers in a week from monday to saturday = $(1 x 6) = $6

Cost of newspaper only on sunday of a week = $3

Cost of newspapers in a week = $(6 + 3) = $9

Therefore, the cost of newspapers in 52 weeks = $(52 x 9) = $468.

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Answer:

The answer is in the attachment

Step-by-step explanation:

Based on the line plot recorded by the fourth-grade students, the most common distance from home to the grocery store can be determined by identifying the distance value that occurs most frequently on the plot. To do this, the students would need to count the number of times each distance value appears on the plot and then identify the value with the highest frequency.

This value would represent the most common distance.

The use of a line plot is an effective way for students to visualize and analyze data related to distance. By recording the distances traveled to the nearest grocery store, the students are able to see the range of distances that exist and identify patterns in the data. This type of activity can help students develop skills related to data analysis, including identifying trends and making comparisons.

Overall, the fourth-grade students can use the line plot to determine the most common distance from home to the grocery store. By doing so, they can gain a better understanding of the distance that most people travel to purchase groceries and use this information to make informed decisions about their own shopping habits.

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The equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

To find the equation of the line perpendicular to the tangent to the curve at (2,1), we need to first find the slope of the tangent line at that point.

The derivative of y=x^3-4x+1 is y'=3x^2-4, so the slope of the tangent line at (2,1) is y'(2) = 3(2)^2-4 = 8.

Since we want the line perpendicular to the tangent, we know that its slope will be the negative reciprocal of the tangent's slope. Therefore, the slope of the line we're looking for is -1/8.

Next, we use the point-slope form of the equation of a line to write the equation of the line with the slope we found and passing through the point (2,1):

y - 1 = (-1/8)(x - 2)

Simplifying and putting the equation in slope-intercept form:

y = (-1/8)x + 9/8

Therefore, the equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

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Without decimal, 4 canisters need to buy for making 5 meatloafs for party or if answer in decimal values needed then it is 3.333 canisters.

From the provided data, we have

number of meatloafs = 5

Here we have need the cup measurements the number of meatloafs made per recipe and the net weight of canister.

net weight of the contents of 1 canister = 15 ounces

1 cup = 8 ounces

1.25 cups = 10 ounces

10 ounces of breadcrumbs makes 1 meatoafs.

but we made 5 meatloafs so, for 5 meatloaf needed breadcrumbs = 5×10

= 50

If we consider 4 canisters then

15ounces × 4 canisters = 60 ounces which are 10 more than the needed ( > 50 ounces.

and if we are consider 3 canisters then

15 ounces × 3 canisters = 45 ounces which is not enough.

So, we need 4 canisters of breadcrumbs and we will have 2/3 of a canister left over.

approximately 3.333 is a value of needed canisters in decimals values. If decimal values are not need ,i.e, whole are canisters are not partial then 4 canisters is right .

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Complete question:

you're planning on making 5 meatloafs for a party. you go to the store to buy breadcrumbs, and see they are sold by the canister. how many canisters do you need to buy?

First, determine what information you need to answer this question, then click here to display that info (along with other info).

How much breadcrumbs does the recipe call for? It calls for 1 1/4 cups of breadcrumbs. How many meatloafs does the recipe make? It makes 1 meatloaf.

How many servings does that recipe make? It says it serves 10.

How big is the canister? It is cylindrical, 3.5 inches across and 7 inches tall.

What is the net weight of the contents of 1 canister? 15 ounces.

How much does a canister cost? $2.39

How much does a cup of breadcrumbs weigh? I'm not sure, but maybe something from the nutritional label will help.

For all vectors v in the vector space V, the expression 0 - v is equal to the additive inverse of v, or -v.

To prove that for all vectors v in a vector space V, and with 0 as the zero vector, the expression 0 - v is equal to the additive inverse of v.

To prove this, we'll follow these steps,

1. Start with the definition of the zero vector in a vector space V.
2. Show that adding the additive inverse of v to both sides of the equation results in the desired expression.

1. Let V be a vector space and 0 be the zero vector. By definition, the zero vector has the property that for all vectors v in V, we have:
  v + 0 = v

2. To find the expression for 0 - v, we first need to determine the additive inverse of v, denoted by -v. The additive inverse of v has the property:
  v + (-v) = 0

Now, let's consider the expression 0 - v. To find this, we can rewrite it as 0 + (-v). Using the property of the zero vector, we know that:

0 - v = 0 + (-v) = -v

Hence, for all vectors v in the vector space V, the expression 0 - v is equal to the additive inverse of v, or -v.

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OK! SO, I'm not accurately sure, But I typed your problems into any online (Problem Solver) and got (3,2) for the first one and (4,4) for the second equation.

I'm sorry if this answer isn't right.

Step-by-step explanation:

Just type them into any online problem solver.

To find the conservative vector field F, we need to take the gradient of f(x, y, z):

F = ∇f = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k

Let's calculate the partial derivatives:

∂f/∂x = 6z/x

∂f/∂y = 7

∂f/∂z = 6ln(x)

Therefore, the conservative vector field F is:

F = (6z/x)i + 7j + 6ln(x)k

Now, let's evaluate the line integral of F over the circle (x-2)^2 + y^2 = 1 in the clockwise direction.

To evaluate the line integral, we need to parameterize the circle. Let's use the parameterization:

x = 2 + cos(t)

y = sin(t)

z = 0

where t ranges from 0 to 2π.

The differential of the parameterization is given by:

dr = (-sin(t)dt)i + (cos(t)dt)j + 0k

Now, we can calculate the line integral:

∫CF⋅dr = ∫[0 to 2π] (F⋅dr)

= ∫[0 to 2π] [(6z/x)i + 7j + 6ln(x)k]⋅[(-sin(t)dt)i + (cos(t)dt)j]

= ∫[0 to 2π] [-6zsin(t)/x + 7cos(t) + 6ln(x)cos(t)] dt

Note that since z = 0 and x = 2 + cos(t), we can simplify the integral further:

∫CF⋅dr = ∫[0 to 2π] [7cos(t)] dt

Integrating the cosine function over the interval [0, 2π] gives:

∫CF⋅dr = [7sin(t)] [from 0 to 2π]

= 7[sin(2π) - sin(0)]

= 7[0 - 0]

= 0

Therefore, the line integral of F over the circle (x-2)^2 + y^2 = 1 in the clockwise direction is 0.

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