in a study, a researcher finds that as a increases, b also increases. the analysis shows that the strength of the relationship is 0.78. what type of linear relationship is this?

\(\\ \sf\longmapsto \dfrac{4}{6x+2}\)

\(\\ \sf\longmapsto \dfrac{5x+3y}{16-8y}\)

\(\\ \sf\longmapsto \dfrac{2}{4x-3}\)

\(\\ \sf\longmapsto \dfrac{2ab+c^2}{3n-2m}\)

\(\\ \sf\longmapsto \dfrac{a^2-16}{7x}\)

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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Answer:

So that it can run faster

Answer:

\(a = change \: in \: v \div time\)

Step-by-step explanation:

Change in V =28-0

=28

time =4 sec

Therefore acceleration =28 ÷4

7m/s^-2

What happens when x = 4 is that the graph is equal to zero when x = 4.

The information that we have is:

"The graph of y = -1/2x + 2 is  is negative over the interval (4, ∞) and positive over the interval (-∞, 4)."

Now, if for values of x smaller than 4 the graph is negative and for values of x larger than 4 the graph is positive, this must be that the graph must crosses the x-axis at some point, then with only that information, we can conclude that the graph is equal to zero when x = 4.

But we could also test it with the equation:

y = -(1/2)*x + 2

if we replace the x with 4.

y = -(1/2)*4 + 2 = -2 + 2 = 0.

Then our previous hypothesis was correct.

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To find the orthogonal projection of a vector onto a subspace, we can use the formula:

projᵥ(u) = A(AᵀA)⁻¹Aᵀᵤ,

where A is a matrix whose columns span the subspace, and u is the vector we want to project.

In this case, the subspace W is spanned by the vector v = [0, 0, 0, 1].

Let's calculate the orthogonal projection of u onto W using the formula:

A = [v]

The transpose of A is:

Aᵀ = [vᵀ].

Now, let's substitute the values into the formula:

projᵥ(u) = A(AᵀA)⁻¹Aᵀᵤ

= v⁻¹[vᵀ]u

= [v][(vᵀv)⁻¹vᵀ]u

Substituting the values of v and u:

v = [0, 0, 0, 1]

u = [1, 0, 0, 0]

vᵀv = [0, 0, 0, 1][0, 0, 0, 1] = 1

[(vᵀv)⁻¹vᵀ]u = (1⁻¹)[0, 0, 0, 1][1, 0, 0, 0] = [0, 0, 0, 1][1, 0, 0, 0] = [0, 0, 0, 0]

Therefore, the orthogonal projection of u onto the subspace W is [0, 0, 0, 0].

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Answer:

It is linear.

Step-by-step explanation:

If you divide 3 hours by 7 cakes, that means they bake 1 cake for every 3/7 of an hour.

If you divide 12 hours by 28 cakes, that also means they bake 1 cake every 3/7 of an hour.

Answer:

1=B

Step-by-step explanation:

Answer:

\((x+1)(x-1)(x-2)\)

Step-by-step explanation:

\(x^3-2x^2-x+2\)

Look at this as 2 separate expressions for now, being the first 2 terms and the last 2 terms:

\(\mbox{1. }x^3-2x^2\\\mbox{2. }-x+2\)

Factor both of these individually, starting with the first one. The greatest common factor here is x², so factor that out:

\(\rightarrow x^3-2x^2\\\rightarrow x^2(x-2)\)

Now the second equation. There isn't really a GCF here, but you still should factor out a -1 to get the x on its own.

\(\rightarrow -x+2\\\rightarrow -1(x-2)\)

Together, that leaves you with this:

\(x^2(x-2)-1(x-2)\)

This is actually another expression that can be factored. The GCF here is (x - 2):

\(\rightarrow x^2(x-2)-1(x-2)\\\rightarrow (x^2-1)(x-2)\)

Finally, you can expand that (x² - 1) further using this rule:

\((x^2-y^2)=(x+y)(x-y)\)

1 is equal to 1², so you can rewrite that term and then expand it with the rule above:

\(\rightarrow (x^2-1^2)(x-2)\\\rightarrow (x+1)(x-1)(x-2)\)

\( {x}^{3} - {2x}^{2} - x + 2 \\ = {x}^{2} (x - 2) - 1(x - 2) \\ = ( {x}^{2} - 1)(x - 2) \\ = ( {(x)}^{2} - {(1)}^{2} )(x - 2) \\ = (x + 1)(x - 1)(x - 2)\)

Answer:

(x + 1)(x - 1)(x - 2)

Hope you could understand.

If you have any query, feel free to ask.

Answer: 1/11

Step-by-step explanation:

Let x be no. of yellow cubes.

Blue = 2x

Green = 4 x 2x = 8x

Total cubes = x + 2x + 8x = 11x

P(yellow) = x / 11x = 1/11

Answer:

z < 2

Step-by-step explanation:

4z - 5 < 3

4z < 8

z < 2

Answer:

See below

Step-by-step explanation:

Introduction:-

Nets are a 2-dimensional representation of a 3-dimensional shape.

For example - Imagine a cubical cardboard box , when we open all the sides of the box and lay it on a 2D surface it looks like ( See attachment 1 ) The first 3D figure is a cube and the second figure is of its net .

To find the surface area of a net :-

Take example of a cube . When we open the sides and lay it on the 2D surface it looks like something as shown in attachment . We can see that it consists of 6 squares of same dimensions . If we take each side of the square to be "a" , then the area of one Square will be ,

Therefore area of 6 squares ,

Similarly , if we take a cuboidal box / rectangular prism , the area of its net will be

where l , b and h are the length, breadth and height of the cuboid .

Hope it helps !

Answer:

no it will not show the awning and powerful than you HA the same time as an event on Friday and powerful than you HA

Answer:

15

Step-by-step explanation:

Pretend there is a triangle where the hypotenuse is MO

to find the bottom side, we need to find half of 14 (7) and half of 10 (5)

That tells us that the bottom of the triangle is 12.

To find the next side, you will need to use 14 and subtract 10, leaving us with 4. Half of 10 is 5 so 5+4 is 9, so the side facing up is 9.

Now using Pythagorus, the root of 12^2 and 9^2 is 15

Final answer, the distance from O to M is 15

The distance OM is 15 and this can be determined by using the Pythagorean theorem and the given data.

Given :

The following steps can be used in order to determine the distance OM:

Step 1 - Let the OEM be the triangle where the angle OEM is 90 degrees.

Step 2 - The distance OE is given by:

\(\rm OE = \dfrac{10}{2}+\dfrac{14}{2} = 12\)

Step 3 - Now, the distance ME is given by:

\(\rm ME = 14-10+\dfrac{10}{2} = 5 + 4 = 9\)

Step 4 - Apply Pythagorean theorem on triangle OEM in order to determine the distance OM.

\(\rm OM^2 = 12^2+9^2\)

OM = 15

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Answer: I think 0.3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

(87·6)/348 = 1.5

Answer:

∠ LHK = 101°

Step-by-step explanation:

The 2 angles on a straight line are supplementary, thus

∠ LHK = 180° - 79° = 101°

The given parameters are illustrations of angles on a straight line. The measure of \(\angle LHK\) is \(101^o\)

Given that:

\(\angle GHL = 79^o\)

Using the angle on a straight line theorem, we have:

\(\angle GHL + \angle LHK =180^o\) ---- angle on a straight line is 180

Substitute \(\angle GHL = 79^o\)

\(79^o + \angle LHK = 180^o\)

Collect like terms

\(\angle LHK = 180^o - 79^o\)

\(\angle LHK = 101^o\)

Hence, the measure of \(\angle LHK\) is \(101^o\)

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Edge has 0 utility at the endowment since he brought no skittles.

To find out how much utility Edge has at the endowment, we can substitute the values of skittles and wood from the endowment (e^E=(0,20)) into Edge's utility function

(U^E=xy).

Since Edge brought no skittles (x=0), we can substitute this value into the utility function:
U^E = 0 * y

= 0

content loaded

Edge brought no skittles (x) and some wood (y), while Worth brought some of both, so that their endowments are

e^E=(0,20) and

e^W=(20,20) of skittles and wood, respectively.

Therefore, Edge has 0 utility at the endowment.

Conclusion: Edge has 0 utility at the endowment since he brought no skittles.

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Graph of two linear functions y=2x+7 and y=-x+4 will intersect at (1,5)

A linear function produces a straight line in the algebraic coordinate plane. It often takes the form of a polynomial function with a maximum degree of 1 or 0.

Calculus and linear algebra are also used to express the linear functions.

The primary distinction can be found in the function notation.

An ordered pair stated in function notation must be understood.

Below is a data table for two distinct linear functions with the identical x values for both functions.

x | y=2x+7 y=-x+4 -3 | 2(-3)+7=-6+7=1| -(-3)+4=3+4=7 -2 | 2(-2)+7=-4+7=3|-(-2)+4=2+4=6 -1 | 2(-1)+7=-2+7=5|-(-1)+4=1+4=5 0 | 2(0)+7=0+7=7 |-(0)+4=0+4=4 1 | 2(1)+7=2+7+9 |-(1)+4=-1+4=3 2 | 2(2)+7=4+7=11|-(2)+4=-2+4=2 3 | 2(3)+7=6+7=13|-(3)+4=-3+4=1

The table demonstrates that the function y = 2x + 7 and the function y = -x + 4 both have values of 5 for x = -1.

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Answer:

She sold 82 brownies

Step-by-step explanation:

164 / 2 = 82

82 x 2 = 164

The number of brownies veronica sale is 82 brownies.

We are given that;

Number of brownies made= 164

Now,

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

To find out how many brownies Veronica sold, we need to divide the total number of brownies she made by 2.

This is because half of something means one part out of two equal parts. Using this method, we get:

\($\frac{164}{2} = 82$\)

Therefore, by unitary method the answer will be 82 brownies.

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The probability that 5 messages are received in 1 hour is is 0.1755 ,the probability that 10 messages are received in 1.5 hours is 0.0858 and the probability that less than 2 messages are received in 1/2 hour is 0.2873

Let X shows the number of messages received per hour. The pdf of X is

\(P(X=x)=\) \(\frac{e^{-5}\cdot 5^{x}}{x!},x=0,1,2,3,....\)

Therefore, the probability that 5 messages are received in a single hour is

\(P(X=5)=\frac{e^{-5}\cdot 5^{5}}{5!}=0.1755\)

(b) Number of message received in 1 hour is 5 so number of message received in 1.5 hour is 7.5. So the probability that 10 messages are received in 1.5 hours is

\(P(X=10)=\frac{e^{-7.5}\cdot 7.5^{10}}{10!}=0.0858\)

(c) Number of message received in 1 hour is 5 so number of message received in 1/2 hour is 2.5. So the probability that less than 2 messages are received in 1/2 hour is

\(P(X < 2)=\frac{e^{-2.5}\cdot 2.5^{0}}{0!}+\frac{e^{-2.5}\cdot 2.5^{1}}{1!}=0.2873\)

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Answer:

I believe this is what they are asking on your problem.

Answer:

a = 33 degrees, b = 147 degrees

Step-by-step explanation:

The sum of all the angles in a triangle is 180 degrees, and to solve for the angle on the other side of 109 degrees is 71 degrees, so to solve for a, have 180 minus 71 and 76. Then the sum of 71 and 76 is angle b since its the result of a subtracting from 180.

Answer:

Put a dot on 7 on the y axis then draw a horizontal line through y=7

Step-by-step explanation:

The component form of the sum of u and v with direction angles is u + v = (10√2 - 50)i + 10√2 j.

We are given the magnitudes and direction angles of vectors u and v. We need to find the component form of their sum.

Let's first convert the given magnitudes and direction angles to their corresponding components. For vector u:

|u| = 20, θu = 45°

The x-component of u is given by:

ux = |u| cos(θu) = 20 cos(45°) = 10√2

The y-component of u is given by:

uy = |u| sin(θu) = 20 sin(45°) = 10√2

Therefore, the component form of vector u is:

u = 10√2 i + 10√2 j

Similarly, for vector v:

|v| = 50, θv = 180°

The x-component of v is given by:

vx = |v| cos(θv) = -50 cos(180°) = -50

The y-component of v is given by:

vy = |v| sin(θv) = 50 sin(180°) = 0

Therefore, the component form of vector v is:

v = -50 i + 0 j

The component form of the sum of u and v is given by the sum of their x- and y-components:

u + v = (10√2 - 50) i + (10√2 + 0) j

Simplifying, we get:

u + v = (10√2 - 50) i + 10√2 j

Therefore, the component form of the sum of u and v is:

u + v = (10√2 - 50) i + 10√2 j

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The question is -

Find the component form of the sum of u and v with the given magnitudes and direction angles θu and θv.

| | u | | = 20 , θu = 45° | | v | | = 50 , θv = 180°.

The system of equation to show Sebastian's coin is

xx + yy ≥ 15

0.1xx + 0.05yy ≤ $0.65

From the graph, the solution of the system of equation is (-2, 7)

The equation to represent the information is written bearing in mind that

10 dimes  = 1 dollar = 20 nickels

1/10 = 0.1

1/20 = 0.05

let the dimes be xx and the nickels be yy

Sebastian has at least 20 coins worth at most $0.65 combined, is represented as

xx + yy ≥ 15

0.1xx + 0.05yy ≤ $0.65

the graph shows the solution to be the solution is (-2, 7)

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Answer:

u need to put ur brain in that question think about it Now If N represent the S they are numbers

Step-by-step explanation:

First