Socks cost each $3 a pair and scarves cost $5 each. Natalie Attired buys some of each. Let x be the number of pairs of socks and let y be the number of scarves she buys.

a. Write an expression for total number of dollars she pays
b. How much would she pay for?
i.7 socks, 4 scarves?
ii.4 pairs of socks, 7 scarves?
c. Write an expression stating that Natalie spends a total of $60 for socks and scarves.
d. Find the intercepts

the Answer is: C less,1

The equatiοn οf the line οf best fit is ŷ= 0.96x+3.79

The slοpe is 0.96

The y-intercept is 3.79

The heights οf peοple that have arm spans οf 66 inches is 67.15 inches and the heights οf peοple that have arm spans οf 74 inches is 74.83 inches.

When the line tοuches the y-axis, it fοrms a y-intercept. Find the y when x = 0 tο find these. The y-intercept pοint will have the shape οf (0,y) When the line tοuches the x-axis, it fοrms an x-intercept.

We have the fοllοwing cοmputatiοn summary frοm the graphing calculatοr:

Sum οf X = 486

Sum οf Y = 506

Mean X = 44.1818

Mean Y = 46

Sum οf squares (SSX) = 1225.636

Sum οf prοducts (SP) = 1171

Hence, the fοrmula fοr the line οf best fit is ŷ= 0.96x+3.79

A linear regressiοn equatiοn is mentiοned

ŷ=mx+b

Where m is the slοpe, and b is the y-intercept

Sο, the slοpe is 0.96 and the y-intercept is 3.79

The heights οf peοple that have arm spans οf 66 inches and 74 inches

This means that:

x = 66 and x = 74

When x = 66,

y=0.96*66+3.79=67.15

When x = 74,

y=0.96*74+3.79= 74.83

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Parker should build the playhouse with a height of 1.59 meters, which is equivalent to 159 centimeters.

Parker is planning to build a playhouse for his sister. The scaled model below gives the reduced measures for width and height. The width of the playhouse is 22 centimeters and the height is 10 centimeters. Not drawn to scale The yard space is large enough to have a playhouse that has a width of 3.5 meters.

If Parker wants to keep the playhouse in proportion to the model, he should use the following cross multiplication of the proportion to find the height: `3.5/22 = 3.5x/h`.

First, the given proportions should be simplified. We will cross-multiply the given proportions:`22h = 3.5 × 10``22h = 35

`Divide both sides by 22 to solve for h:`h = 35/22

`The final answer is `h = 1.59 meters`. Parker should build the playhouse with a height of 1.59 meters, which is equivalent to 159 centimeters.

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The 90% confidence interval is: (2.51, 3.22)

It is a boundary of values which is eventually to comprise a population value with a certain degree of confidence. It is usually shown as a percentage whereby a population means lies within the upper and lower limit of the provided confidence interval.

We have the following information :

The level of significance is calculated as:

\(\alpha =1-c\\\\\alpha =1-0.90\\\\\alpha =0.10\)

The degrees of freedom for the case is:

df = n - 1

df = 15 - 1

df = 14

The 90% confidence interval is calculated as:

=x(bar) ±\(t_\frac{\alpha }{2}\), df \(\frac{s}{\sqrt{n} }\)

= 2.86 ±\(t_\frac{0.10 }{2}\), 14 \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 1.761 × \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 0.3547

= (2.51, 3.22)

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

4 is the value of x ,on solving that  m and n are in perpendicular lines. calculating  the slope of AB is explained below,

in  order to find the slope of AB. the formula is used as

m=(y2-y1)/(x2-x1)

on substituting we get,

m=(8-6)/(4-(-2))

m=2/6

m=1/3

Calculating CD  in which it is perpendicular to AB

hence, it should contains the negative reciprocal of the slope of AB, mathematically as ,

m1 * m2= - 1  ,condition is applied when m and n  lines to be perpendicular

hence,

m/3=-1

m = - 3    

therefore  CD will have a slope of -3

in which CD  can be expressed as part of the each  line:

y=-3x+b, on solving  for b using point C, (8,12)...

12 = - 3(8) + b

12= - 24 + b

36=b

hence, the line of CD is :

y = - 3x + 36  

the x coordinate is calculated  for (x,24),

hence,

y=24

24=-3x+36

3x+24=36

3x=12

x=4

therefore the value of x = 4 when the 2 lines are in parallel lines .

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Answer: 240 minutes, 20 cups, 4000 pounds

Step-by-step explanation:

Use the following conversions:

1 hour = 60 minutes

2 cups = 1 pint

2 pints = 1 quart

1 ton = 2000 pounds

\(4\ hours\times \dfrac{60\ minutes}{1\ hour}=\large\boxed{240\ minutes}\\\\\\\\5\ quarts \times \dfrac{2\ pints}{1\ quart}\times \dfrac{2\ cups}{1\ pint}=\large\boxed{20\ cups}\\\\\\\\2\ tons\times \dfrac{2000\ pounds}{1\ ton}=\large\boxed{4000\ pounds}\)

By the calculations below, there are 20 groups of 1/5 in 4.

To find out how many groups of 1/5 are in 4, we can use the concept of division of fractions.

Recall that dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite the problem as:

4 ÷ 1/5

To find the reciprocal of 1/5, we flip the fraction:

1/5 → 5/1

Now, we can rewrite the division problem as multiplication:

4 ÷ 1/5 = 4 × 5/1

Multiplying across gives:

4 × 5/1 = 20

Therefore, there are 20 groups of 1/5 in 4.

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Answer:

$0.35

Step-by-step explanation:

3.50÷10=0.35

Answer:

Step-by-step explanation:

(-8+2)/2= -6/2 = -3

(-3+7)/2= 4/2 = 2

(-3, 2) midpoint

Answer:

Joe can only use 3GB of Data. Bill is 21 .

\(21 + 9 + 30\)

\(1gb \: \: = 3\)

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

$54.25

Step-by-step explanation:64-9.75=54.75

Answer:64-9.75=54.25

Step-by-step explanation:

The correct answer is to drag The Plus sign (+)

This has to do with the use of symbols to denote mathematical equations such as addition, subtraction, etc.

Hence, we can see that the correct position to put the operator on the image to result in a binomial is to drag the plus sign (+) so that the equations can be solved,.

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Answer:.

Step-by-step explanation:

Answer:

nothing

Step-by-step explanation:

Yes, Tanner has enough spray paint for his arrow.

What is an Area?

The amount of space occupied by a flat (2-D) surface or an object's shape is known as its area. A planar figure's area is the area that its perimeter encloses. The quantity of unit squares that completely encircle the surface of a closed figure is its area. Square measurements for area include cm2 and m2.

Given : paint available in can = 12 ft²

We know that the arrow is comprised of a triangle and a rectangle.

So, the area of given arrow = area of rectangle + area of triangle

Now, area of triangle = 1/2 ×base × height

                                   = 1/2 × 3 × (6 - 5 1/3)

                                   = 3/2 × ( 6 - 16/3)

                                   = 3/2 × ( 18-16)/3

                                   = 3/2 × 2/3

                                    = 1 ft²

Similarly, area of rectangle =  length × breadth

                                            = 5 1/3 × 2

                                            = 16/3 × 2

                                            = 32/3 ft²

Hence, area of arrow = area of triangle +area of rectangle

                                   = 1 + 32/3

                                   = 35/3 ft²

                                   = 11.67 ft²

So, he has sufficient paint to cover the arrow.

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The set of all bounded real functions does not form a vector space with the usual function addition and scalar multiplication.

To determine if a set of objects forms a vector space, we need to check if it satisfies the vector space axioms. These axioms include properties such as closure under addition and scalar multiplication, existence of additive identity and inverses, and distributive properties.

In the case of the set of all bounded real functions, it does not satisfy the closure property under scalar multiplication. To demonstrate this, consider a bounded real function f(x) that is bounded by M, and let c be a scalar.

When we multiply the function f(x) by a scalar c, the resulting function cf(x) may not remain bounded. If c is non-zero and large enough, cf(x) can exceed any bound M, violating the condition of boundedness.

For example, consider the bounded function f(x) = 1, which is bounded by M = 1. If we multiply this function by a scalar c = 2, the resulting function cf(x) = 2 is unbounded and violates the condition of boundedness.

Since the set of all bounded real functions fails to satisfy the closure property under scalar multiplication, it does not form a vector space with the usual function addition and scalar multiplication.

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Answer:

A ≈ 160 cm²

Step-by-step explanation:

the area (A) of a parallelogram given adjacent sides a and b and angle Θ between them is

A = absinΘ

here a = 12 , b = 15 and Θ = 117° , then

A = 12 × 15 × sin117° ≈ 160 cm²( to the nearest cm² )

in∆BDC

use sine rule for area

\(\\ \rm\rightarrowtail \dfrac{1}{2}absinC\)

\(\\ \rm\rightarrowtail \dfrac{1}{2}(12)(15)sin117\)

\(\\ \rm\rightarrowtail 90(0.89)\)

\(\\ \rm\rightarrowtail 80.1m^2\)

It is more convenient to integrate with respect to y.

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

To sketch the region enclosed by the curves y = 3x² and y = 5x - 2x² and determine whether to integrate with respect to x or y, we can analyze the intersection points and the shape of the curves.

First, let's find the intersection points by setting the equations equal to each other:

3x² = 5x - 2x²

Combining like terms:

5x² - 5x = 0

Factoring out x:

x(5x - 5) = 0

Solving for x:

x = 0 or x = 1

So the curves intersect at x = 0 and x = 1.

Next, we can analyze the behavior of the curves to determine the orientation of the region.

For y = 3x², we have a parabola that opens upwards. This curve lies below the x-axis and is symmetric with respect to the y-axis.

For y = 5x - 2x², we have a downward-opening parabola. This curve lies above the x-axis and is symmetric with respect to the y-axis.

Based on this information, we can sketch the region enclosed by the curves.

The region enclosed by the curves is bounded by the curves themselves and the x-axis. It is the area between the curves from x = 0 to x = 1.

To determine whether to integrate with respect to x or y, we can observe that the region is vertically oriented, meaning it extends vertically between the curves.

Therefore, it is more convenient to integrate with respect to y.

To draw a typical approximating rectangle, we can choose a small interval along the y-axis and draw a rectangle that spans between the curves for that particular y-interval. This rectangle will represent an approximation of the region's area.

Hence, it is more convenient to integrate with respect to y.

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the arc length indicated by the bolded arc with a radius of 13 inches and a central angle of 30 degrees is (13π/6) inches.

To find the arc length indicated by the bolded arc with a radius of 13 inches and a central angle of 30 degrees, follow these steps:

Convert the central angle to radians: Since there are 360 degrees in a full circle and 2π radians in a full circle, you can use the conversion factor (π/180) to convert the central angle from degrees to radians. So, 30 degrees * (π/180) = (30π/180) = (π/6) radians.

Calculate the arc length using the formula: Arc length (L) = radius (r) * central angle (θ), where r is the radius and θ is the central angle in radians. In this case, r = 13 inches and θ = π/6 radians.

Substitute the values into the formula: L = 13 * (π/6)

Solve for L: L = (13π/6)

Simplify the fraction: L = (13π/6) inches

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Answer:

14

Step-by-step explanation:

the fist 20 characters equal 14

Answer:

110

Step-by-step explanation:

integers are basically whole numbers

first 10 even integers would be 2,4,6,8,10,12,14,16,18,20

if you add all those numbers, it would be 110

In the context of measures of reliability, correlating the total score of the first 20 questions on a test with the total score of the last 20 questions on the same test is an example of test-retest reliability.

Test-retest reliability is a measure of the consistency of test scores over time. It assesses the degree to which test scores are consistent when the same test is administered twice to the same group of individuals at different times.

In the example given, the first total score represents the results of the first administration of the test, while the second total score represents the results of the second administration of the test. By correlating the two scores, we can assess the degree of consistency between the two sets of scores and determine the test-retest reliability of the test.

If the correlation between the two total scores is high, it indicates that the test is reliable and produces consistent results over time. If the correlation is low, it suggests that the test may not be reliable and that the results may be subject to random variation or measurement error.

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The three friends spent:Jan spent $30.5, Danetta spent $18.5, and Elaine spent $37.

Let's denote the amount Jan spent as J. Danetta spent $12 less than Jan, so her expenditure is J - $12. Elaine spent twice as much as Danetta, so her expenditure is 2(J - $12). The total expenditure of the three friends is $86. By setting up an equation using these values, we can find the individual expenditures of each friend.

Let's denote the amount Jan spent as J. According to the given information, Danetta spent $12 less than Jan, so her expenditure can be expressed as J - $12. Similarly, Elaine spent twice as much as Danetta, so her expenditure can be expressed as 2(J - $12).

The total expenditure of the three friends is stated as $86. We can set up the equation J + (J - $12) + 2(J - $12) = $86 to represent the sum of their expenditures. Simplifying this equation, we have 4J - $36 = $86.

By rearranging the equation, we find 4J = $122, which implies J = $30.5. Therefore, Jan spent $30.5.

Using this value, we can calculate the expenditures of the other two friends. Danetta spent J - $12, which is $30.5 - $12 = $18.5. Elaine spent twice as much as Danetta, so she spent 2($18.5) = $37.

In summary, Jan spent $30.5, Danetta spent $18.5, and Elaine spent $37.

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Answer:

y=1

x=1/5

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

calculator

:)

Answer:

what exactly is your question