-4w + 4 = 12
help math ahh

The weakest correlation is represented by the value of c. 0.11.

The weakest correlation is represented by the value that is closest to zero, as it indicates a weaker relationship between the variables. In this case, the answer is: c. 0.11

A correlation coefficient of 0.11 is closer to zero than the other options provided, indicating a weaker correlation compared to the rest. The negative values (-0.75 and -0.27) represent negative correlations, but their magnitudes are larger than 0.11, making them stronger correlations (although still considered weak in general). The positive value of 0.54 represents a moderate positive correlation.

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well, let's move like the crab, backwards, let's start with b), then we'll do a)

b)

\({\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=2\\ y=75 \end{cases}\implies 75=ab^2 \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=5\\ y=9375 \end{cases}\implies 9375=ab^5\implies 9375=ab^{2+3}\implies 9375=ab^2 b^3\)

\(\stackrel{\textit{substituting from the 1st equation}}{9375=\underset{ab^2}{(75)} b^3}\implies \cfrac{9375}{75}=b^3\implies 125=b^3 \\\\\\ \sqrt[3]{125}=b\implies \boxed{5=b}\hspace{5em}\stackrel{\textit{we know that}}{75=ab^2}\implies 75=a5^2\implies 75=25a \\\\\\ \cfrac{75}{25}=a\implies \boxed{3=a}\hspace{5em} {\Large \begin{array}{llll} y = 3(5^x) \end{array}}\)

a)

\(\begin{cases} x=0\\ y=j \end{cases}\implies j=3(5^0)\implies j=3(1)\implies j=3 \\\\\\ \begin{cases} x=4\\ y=k \end{cases}\implies k=3(5^4)\implies k=3(625)\implies k=1875\)

Answer:

25 feet in one second

Step-by-step explanation:

125 divided by 5 is 25

Answer:

25 feet per second

Step-by-step explanation:

Answer:

yes I would like to hope on a meet that will be fun

Answer:

8 months

Step-by-step explanation:

Equation: 1.25x = 10

Divide both sides by 1.25

x = 8

Group A parallelogram, Group B Quadrilateral.

Answer: Parallelogram and Quadrilateral.

The  two ways of classifying shapes are: Parallelogram and Quadrilateral.

There are different ways to classify an item.

Quadrilaterals can be known by;

It is a polygon with four sides.

Since rectangle is known to be a parallelogram that has four right angles.

A trapezoid is regarded as a quadrilateral with only one pair of parallel sides.

And Parallelograms are known to be shapes that has four sides with only two pairs of sides that are known to be parallel.

So we conclude that Group A parallelogram, and Group B Quadrilateral.

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Answer:

x = 8\(\sqrt{3}\) in

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 22² = 26²

x² + 484 = 676 ( subtract 484 from both sides )

x² = 192 ( take square root of both sides )

x = \(\sqrt{192}\) = \(\sqrt{64(3)}\) = \(\sqrt{64}\) × \(\sqrt{3}\) = 8\(\sqrt{3}\) in

50 small cabinets and 15 large cabinets of each size of cabinet should Lee pack in the truck.

Given : Weights of large cabinet and small cabinet is 40 and 25 pounds respectively

Total load weight allowed in the truck = 1850 pounds  - (1)

Total cabinets allowed in the truck = 65            - (2)  

Let Lee pack x number of large cabinet and y number of small cabinet

Using equation (1):

40*x + 25*y = 1850          - (3)

Using equation (2):

x + y = 65       - (4)

Multiply by 40 on the both side so the equation changes to :

=> 40*x + 40*y = 65*40

=> 40*x + 40*y = 2600       - (5)

Subtracting equation 3 from 4 :

40*y - 25*y = 2600 - 1850

=> 15*y = 750

=> y = 50

Using (4) :

x = 65 - y = 65 - 50 = 15

So, 50 small cabinets and 15 large cabinets should be packed by Lee in the truck

An equation is a mathematical statement that expresses the equality or equivalence of two expressions or values. Equations are used to describe relationships between variables or to model real-world problems. Equations can be written in different forms, including linear, quadratic, and exponential. An equation typically consists of two sides, separated by an equal sign (=). The left side represents the expression or value being evaluated, while the right side represents the answer or solution.

To solve an equation, you need to find the value of the variable that makes both sides equal. This can be done through substitution, elimination, or factoring. Equations are a fundamental tool in mathematics, used to describe and analyze patterns and relationships between quantities, and to develop mathematical models for real-world problems.

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Complete Question: -

Lee is packing a truck with small and large filing cabinets. the large cabinets weigh 40 pounds, and the small cabinets weight 25 pounds. to optimize the load, the total load weight should be 1850 pounds from a total of 65 cabinets. how many of each size of cabinet should lee pack in the truck?

____ small cabinets

____ large cabinets

Answer: between 4 and 9 is

4 *9=36=6

the 45

Step-by-step explanation:

679

Answer:

54/11 (or) 4 10/11

Step-by-step explanation:

Let's solve the problem,

→ 18 ÷ 3 2/3

→ 18 ÷ (11/3)

→ 18 × (3/11)

→ 54/11 = 4 10/11

Hence, the answer is 54/11.

There are 773 students in the school who are not members of either the gymnastics team or the chess team.

To determine the number of students in the school who are not members of either the gymnastic team or the chess team, we need to subtract the total number of students who are on either or both teams from the total number of students in the school.

Given that there are 800 students in total, 20 students on the gymnastic team, and 10 students on the chess team (including 3 students who are on both teams), we can calculate the number of students who are members of either team by adding the number of students on the gymnastic team and the number of students on the chess team and then subtracting the number of students who are on both teams.

Total students on either team = 20 + 10 - 3 = 27

To find the number of students who are not members of either team, we subtract the total students on either team from the total number of students in the school:

Number of students not on either team = 800 - 27 = 773

Therefore, there are 773 students in the school who are not members of either the gymnastic team or the chess team.

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Answer:

your anwser is 7.74596669241

Answer:

\(\sqrt{60} = 7.74596669241\)

Step-by-step explanation:

Answer:

x>125

Step-by-step explanation:

Answer:

x>125

Step-by-step explanation:

Answer:

The first one would be the third one and the second one would be the second one.

Step-by-step explanation:

The first quadrant is a (Positive, Positive), the second one is a (Negative, Positive), the third one is a (Negative, Negative) and the fourth one is a (Positive, Negative)

We are 95% confident that 12% to 28% of the young women in your community are infected with at least one of the most common STDs.

What is Random Sampling?

Each sample has an equal chance of being chosen as part of the sampling procedure known as random sampling. A randomly selected sample is intended to be a fair reflection of the entire population.

Given Data

Sample Size, n = 100

Number of successes, x = 20.0

Significance level,

α =1- 0.95 = 0.05

95% confidence interval for population proportion p :

Point estimate:

P= x/n

= 20.0 / 100

= 0.2

critical value at α= 0.05 is

Zα/2 = 1.96

from the standard normal distribution table

Margin of error:

ME=Zα/2 * √P(1-P)/n

= 1.96 × √ 0.2 (1- 0.2 )/ 100

= 0.0784

Margin of error is 0.0784

Now

95% confidence interval for population proportion :

CI=P ± ME

=0.2 ± 0.0784

= (0.1216, 0.2784)

= (12%, 28%)

We have a 95% confidence that at least one of the most prevalent STDs is present in 12% to 28% of the young women in your neighborhood.

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In this scenario, we are looking to define an estimator for the population variance (σ^2) based on a simple random sample of size n from a normal distribution with mean μ and variance σ^2. In conclusion, S^2_k is a random, constant estimator of the population variance σ^2, where k is a constant value greater than 0.

First, let's define the sample variance S^2, which is a random variable that estimates the population variance.
S^2 = (1/(n-1)) * Σ(xi - y)^2 , where xi is the ith observation in the sample, y is the sample mean, and Σ is the sum of values from i=1 to n.  Now, we can define our estimator as kS^2 for any constant k > 0. This means that we are scaling the sample variance by a constant to estimate the population variance.  It's worth noting that this estimator is not unbiased, meaning it does not always give us an estimate that is exactly equal to the true population variance. However, it is a consistent estimator, meaning that as the sample size increases, the estimator will get closer and closer to the true population variance.
Let x1, ..., xn be a simple random sample from a normal distribution N(μ, σ^2) population. We need to consider an estimator for the population variance σ^2. Let's define a constant k > 0, and use it to create an estimator.
1. Define the estimator S^2_k as follows:
  S^2_k = (1/(n-k)) Σ(xi - y)^2 for i = 1 to n
Here, y is the sample mean, calculated as y = Σxi / n.
2. Now, we'll analyze S^2_k as an estimator for σ^2.
a. S^2_k is a random variable, since it depends on the random sample (x1, ..., xn) that we draw from the population.
b. S^2_k is a constant, because k is a fixed value and doesn't change for different samples.
c. S^2_k is an estimator, because it's a statistic that we use to estimate the population parameter σ^2.

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the evaluated integral is:

∫acos(5r)(r-b) dr = (r - b)/5 (asin(5r) + C) + (1/25) (acos(5r) + D) - (1/5) C,

where C and D are constants of integration.

To evaluate the integral ∫acos(5r)(r-b) dr, we can use integration by parts. Integration by parts is based on the formula:

∫u dv = uv - ∫v du,

where u and v are functions of the variable of integration.

Let's assign u = (r - b) and dv = acos(5r) dr. Then, we can find du and v as follows:

du = d(r - b) = dr,

v = ∫acos(5r) dr.

To evaluate v, we can use a substitution. Let's assign t = 5r, which implies dr = (1/5) dt. Substituting these values, we have:

v = ∫acos(t) (1/5) dt = (1/5) ∫acos(t) dt.

The integral ∫acos(t) dt can be evaluated using the formula for the integral of the cosine function:

∫acos(t) dt = asin(t) + C,

where C is the constant of integration.

Now, substituting back for t = 5r, we have:

v = (1/5) (asin(5r) + C).

Applying the integration by parts formula, we have:

∫acos(5r)(r-b) dr = uv - ∫v du

                    = (r - b) (1/5) (asin(5r) + C) - ∫(1/5) (asin(5r) + C) dr

                    = (r - b)/5 (asin(5r) + C) - (1/5) ∫asin(5r) dr - (1/5) C.

The integral ∫asin(5r) dr can be evaluated in a similar manner as above, resulting in:

∫asin(5r) dr = -(1/5) (acos(5r) + D),

where D is the constant of integration.

Substituting this back into the previous expression, we have:

∫acos(5r)(r-b) dr = (r - b)/5 (asin(5r) + C) - (1/5) (-(1/5) (acos(5r) + D)) - (1/5) C

                    = (r - b)/5 (asin(5r) + C) + (1/25) (acos(5r) + D) - (1/5) C.

So, the evaluated integral is:

∫acos(5r)(r-b) dr = (r - b)/5 (asin(5r) + C) + (1/25) (acos(5r) + D) - (1/5) C,

where C and D are constants of integration.

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Answer:

x=9

Step-by-step explanation:

Substitute y for 4x

4x=8x-36

Then solve for x

-4x=-36

x=9

Answer:

336 ft ²

Step-by-step explanation:

Find the area of the two triangles

In this case, both triangles are the same, so we can modify the formula for area of triangle

In the formula, we divide by two, but because we multiply the area by two for the two triangles, we can just use base x height

Triangles = 6 x 8 = 48 ft²

top rectangle = 10x12 = 120 ft²

bottom rectangle = 8x12 = 96 ft²

back rectangle = 6x12 = 72 ft²

Total = 48 ft² + 120 ft² + 96 ft² + 72 ft² = 336 ft²

If my answer is incorrect, pls correct me!

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-Chetan K

Answer: 11.1 m

Step-by-step explanation:

This can be solved by the Pythagorean theorem where;

c² = a² + b²

c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.

a is the height

c is the length

32² = 30² + b²

b² = 32² - 30²

b² = 1,024 - 900

b² = 124

b = √124

b = 11.1 m

Answer:

(3,-6)(1,-4)=9

Step-by-step explanation:

8) (3,-6) (1,-4)

so (3,-6)(1,-4) = 9

hope this is correct! :)

Answer:

c

Step-by-step explanation:

in order for it to be a triangle the smaller sides have to add up to be greater than the longest side

for a 5+14=19 so that is not a triangle because the  side dont add up to be greater than 19

for b 14+8=22 so that is also not a triangle because the sides dont add up to be greater than 24

for c 5+15=20 so that is a triangle because to 2 shorter sides added are greater than the longest side

for d 14+9=23 so that is not a triangle because the two smaller sides dont add up to be greater than 24

An equation for the plane consisting of all points that are equidistant from the points (1,4,4) and (-4, 1, 2) is 5x+3y+2z-6=0

Given, the points are (1, 4, 4) and (-4, 1, 2).

We have to find an equation for the plane consisting of all points that are equidistant from the given points.

Let the parametric point be (x, y, z) on the plane which is equidistant from the given points.

Using the distance formula:

\(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1} )^2 } }\)

Distance between the points (x, y, z) and (1, 4, 4)

=\(\sqrt{(x-1)^2+(y-4)^2+(z-4)^2}\)

Distance between the points (x, y, z) and (-4, 1, 2)

=\(\sqrt{(x-(-4)^2+(y-1)^2+(z-2)^2}\\\\ \sqrt{(x+4)^2+(y-1)^2+(z-2)^2}\)

Given, \(\sqrt{(x-1)^2+(y-4)^2+(z-4)^2}=\sqrt{(x+4)^2+(y-1)^2+(z-2)^2}\)

By using algebraic identity,

(a-b)² = a²-2ab+b²

(a+b)² = a²+2ab+b²

(x² - 2x + 1)+(y²-8y+16)+(z²-8z+16)=(x²+8x+16)(y²-2y+1)+(z²-4z+4)

x²+y²+z²-2x-8y-8z+1+16+16=x²+y²+z²+8x-2y-4z+16+1+4

By grouping,

-2x-8x-8y+2y-8z+4z+33-21

-10x-6y-4z+12=0

Dividing by -2 into both sides,

5x+3y+2z-6=0

Therefore, the equation of the plane is 5x+3y+2z-6=0

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It has 816 ways to 3-element subsets, such that no two consecutive integers are in the subset.

You need three digits from 1 to 20, but you don't want any consecutive ones. You should call them a, b, and c.

Without loss of generality, a < b < c.

We use combinations,

Remember that we can write a + 1 b if a b and they're not sequential. With the aid of this insight, we can see the number of desired the number of methods for choosing a, b, and c from among the integers so that,

(1 ≤ a) & (a + 1 < b) & (b + 1 < c) & (c ≤ 20)

In other words, you want to know how many possibilities there are to choose the three numbers a, b, and c so that;

1 ≤ a < b − 1 < c − 2 ≤ 18

As a result, the question is equal to asking how many ways there are to select three integers (a, b - 1, and c - 2) from a range of 1 to 18. In other words, we are interested in how many ways we can select three items from a total of 18 options.

So, the response is:

\((^1^8_3)\) = 816 ways

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The equation is $1.75+$0.85m= $8.75, after solving the value m =8.24 miles.

An algebraic expression contains one or more variables along with numbers show the equality among them.

we use equation to determine an unknown value. we create equation based on a mathematical statement and finally solve it.

The following is the solution of equation of the statement given in question.

Given, fee per mile = $0.85

Charges = $1.75

Total cost of ride = $8.75

let, m is the number of miles travelled

Now, the equation is $1.75+$0.85m = $8.75

                  after solving     0.85m = 7.00

                             m = 8.24 miles

hence, the Uber travelled 8.24 miles

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Answer:

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Step-by-step explanation:

Answer:

x=-b/2a

Step-by-step explanation:

axis of symmetry is the line that across the vertex from a parabola(ax^2+bx+c).

The expression to find vertex is -b/2a

Thus, x=-b/2a is a vertical line that across the vertex aka the axis of symmetry.

The parametric equations for the motion of the particle in the xy plane that traces the counterclockwise ellipse are x = 6cos(t) and y = 4sin(t), where t is the parameter. The parameter interval for the motion is 0 ≤ t ≤ 2π.

To find the parametric equations for the counterclockwise motion of the particle along the given ellipse, we can start by parameterizing the ellipse equation  \(16x^2 + 9y^2 =\) 144. We divide both sides of the equation by 144 to normalize it, giving us  \((x^2/9) + (y^2/16\)) = 1. By comparing this equation with the standard form of an ellipse, we can see that a = 3 and b = 4.

We can then use the trigonometric parametrization of an ellipse to obtain the parametric equations. Letting x = acos(t) and y = bsin(t), where t is the parameter, we substitute the values for a and b, resulting in x = 6cos(t) and y = 4sin(t). These equations represent the motion of the particle along the ellipse.

Since we want the particle to trace the ellipse counterclockwise, we need to cover the full circumference of the ellipse. This corresponds to a parameter interval of 0 ≤ t ≤ 2π, which completes one full revolution around the unit circle. Therefore, the parametric equations for the motion of the particle are x = 6cos(t) and y = 4sin(t), with a parameter interval of 0 ≤ t ≤ 2π.

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The correct option is For every 2 white marbles, Hal has 3 black marbles​.

The size, number, or amount of one thing or group as compared to the size, number, or amount of another, is called proportion.

A proportion is a mathematical comparison between two numbers. Often, these numbers can represent a comparison between things or people.

Proportion is an equation that defines that the two given ratios are equivalent to each other.

Proportions are actually equations with equal ratios.

A proportion or proportional situation occurs when two things are related in such a way that the ratios of corresponding parts are equal.

Given that, Hal compared the number of black marbles he had to the number of white marbles he had.

Number of black marble = 9

Number of white marble = 2

The proportion is 9 /2

= 3/2

Hence, the correct option is For every 2 white marbles, Hal has 3 black marbles​.

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It would take approximately 19 years for the value of the account to reach $2,590.

The formula accrued amount in a compounded interest is expressed as;

A = P( 1 + r/n )^( n × t )

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given that:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.2/100

r = 0.022 per year.

Plug the given values into the above formula and solve for time t.

A = P( 1 + r/n )^( n × t )

t = In(A/P) / n[ In( 1 + r/n ) ]

t = In( $2,590/$1,700 ) / ( 12[ In( 1 + 0.022/12 ) ] )

t = 19.155 years

t = 19 years

Therefore, the time taken is approximately 19 years.

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