A recipe says it produces the best summer drink. The recipe calls for cup of lemonade for every 1 cups of iced tea. If 16 cups of the summer drink are made, how many of those are cups of lemonade? Re-create the table to give your answer.

The value of measure ∠RQS would be,

⇒ ∠RQS = 48°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

A ray QT bisects ∠PQR.

Now, We get;

⇒ ∠PQR + ∠RQS = 180°

⇒ (3x - 6) + (x + 2) = 180

⇒ 4x - 4 = 180

⇒ 4x = 184

⇒ x = 46

Thus, The value of measure ∠RQS would be,

⇒ ∠RQS = x + 2 = 46 + 2 = 48°

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Answer: A) a translation 3 units down

Step-by-step explanation: Notice how your y-values are decreasing by 3.

y-values only increase or decrease, so if they’re decreasing, they are going down.

Hope this helps!

Answer:

m= -2

Step-by-step explanation:

Isolate the y into slope- intercept form 2x + y = 3 -> y = -2x+3

Parallel lines have the same slope, so the slope is -2.

The slope of a line parallel to the line whose equation is 2x + y = 3 is -2.

Given that, the equation of a line is 2x + y = 3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope of a line parallel to given line is m1=m2.

The given equation can be rewritten as y=3-2x

The standard form of an equation of a line is y=mx+c

Now, compare y=3-2x with y=mx+c, we get

Slope (m) = -2

So, slope of parallel to the line is m1=m2= -2

Therefore, the slope of a line parallel to the line whose equation is 2x + y = 3 is -2.

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Answer:

Step-by-step explanation: Second one but I'm not sure so wait till someone else answers if they don't then just guess or pick the second one but if it's wrong I'm extremely sorry .!

Answer:

option forth is mistake:

<DEB and <CBE are not corresponding angle. they are co interior angle.

Answer:

2/3

I hope this helps :D

9514 1404 393

Answer:

  3/2

Step-by-step explanation:

The slope is the "rise" (change in y) divided by the "run" (change in x).

  m = (y2 -y1)/(x2 -x1)

  m = (6 -3)/(4 -2) = 3/2

The slope is 3/2 = 1.5.

Answer:

No solutions

Step-by-step explanation:

3(3x + 2) = 9x + 7

9x + 6 = 9x + 7

9x - 9x = -6 + 7

0 = -1

No solutions

Hope this helps!

Answer:

£30

Step-by-step explanation:

Jack had 30 pounds, he withdrew 30 more and had 60,he spent 40 and was left with 20.Then he withdrew 30 more and had 50,he spent 40 and was left with 10.Then he withdrew 30 more and had 40,he spent 40 and was left with 0 meaning he had no money

Answer:

Hope you understand, and never stop striving to learn!

Step-by-step explanation:

The sample mean is both values added together then divided by 2.

$46.63

The margin of error is the low value divided by the high value * 100% =76.8% (then you have to minus this from 100% so the margin of error is 23.2%)

Answer:

[tex]superscript, \:used\: to\: raise\: objects\: to\: power[/tex]

Answer:

C

Step-by-step explanation:

Honesty Made Brian Become Forgiven

Answer:

Honesty is the best policy

Step-by-step explanation:

she confessed

Answer:

first day when they say 3 rabbits and 8 deers 3:8

Answer:

It’s the second option

Step-by-step explanation:

Answer:

The answer is 30

Step-by-step explanation:

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

If 60% of nickel is present in the metal bar that weighs 50 ounces.

The amount of ounces of nickel in the metal bar is 30 ounces.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% of 100 = 50/100 x 100 = 50

20% of 40 = 20/100 x 40 = 8

We have,

Weight of the metal bar = 50 ounces.

The percentage of nickel in the metal bar = 60%

The amount of nickel in the metal bar:

= 60% of 50 ounces

= 60/100 x 50 ounces

= 30 ounces

Thus,

If 60% of nickel is present in the metal bar that weighs 50 ounces.

The amount of ounces of nickel in the metal bar is 30 ounces.

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Answer:

[tex]y=-\frac{5}{3}x+2[/tex]

Step-by-step explanation:

So we are given 2 points, (-3, 7) and (6, -8), and we are asked to write it in slope-intercept form. To do this, lets first find the slope. To find the slope, we can use the slope formula.

The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where m is the slope and (x₁, y₁) and (x₂, y₂) are points.

Lets plug in (-3, 7) for (x₁, y₁) and (6, -8) for (x₂, y₂).

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-8-7}{6-(-3)}=\frac{-15}{9}=-\frac{5}{3}[/tex]

So now we have found the slope. Lets plug in the slope and one of the points into the equation for point-slope form and then solve for slope-intercept form. I am going to use the point (-3, 7).

[tex]y-7=-\frac{5}{3}(x-(-3))[/tex]

Distribute the -5/3 on the right side.

[tex]y-7=-\frac{5}{3}x-5[/tex]

Add 7 to both sides.

[tex]y=-\frac{5}{3}x+2[/tex]

And now we have the equation in slope-intercept form.

I hope you find my answer and explanation to be helpful. Happy studying.

y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are (-3,7) and (6,-8)

m=-8-7/6-(-3)

m=-15/6+3=-15/9

m=-5/3

Now let us find the y intercept b.

7=-5/3(-3)+b

7=5+b

b=7-5

b=2

The y intercept is 2, Now plug in m and b values in slope intercept form to find the equation of line passing through (-3,7) and (6,-8)

y=-5/3x+2

Hence y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)

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Answer and Step-by-step explanation:

Solution:

(a) The function. f1(x) = ln x, f2(x) = ln x^5 is linearly independent or not.

According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.

f1 = n. f2

Consider given function:

f1(x) = lnx f2(x) = lnx5

(b) Set of function f1(x) = x^n, f2(x) = x^n + 2, is linearly independent or not on the interval [-∞, ∞].

According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.

f1 = n. f2

Consider the given function:

f1(x) = xn f2(x) = xn+2

(c) f1(x) = x, f2(x) = x + 8, (−[infinity], [infinity])

Function is not linearly independent.

Linear independent theorem states that two functions f1 and f2 are linearly dependent if one can represent as the constant multiple of other.

F1= n.f2

(d) f1(x) = cos(x + π), f2(x) = sin x. [-∞, ∞]

According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.

f1 = n. f2

The given function:

f1(x) = cos(x + π)f2(x)

Answer:

(-3, -2) that is the answer please give me brainiest

Step-by-step explanation:

Answer:

To convert a fraction into a decimal, divide the top number by the bottom number. What about with denominators that don't divide into 10, 100 or 1000, such as 7? You still divide the denominator into the numerator, no matter what the numbers are.

Step-by-step explanation:

ok

Answer:

A is the endpoint ray

Step-by-step explanation:

Point A is the ray's endpoint. One way to think of a ray is a line with one end. A ray starts at a given point and goes off in a certain direction forever, to infinity. The point where the ray starts is called (confusingly) the endpoint.

Answer:

x<45

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

both the ordered pair satisfy the equation

Answer:

3

Step-by-step explanation:

Answer: x=2 and x=-3

Step-by-step explanation:

|2x+1|=5>|2x+1|=-5

2x+1=5 > 2x+1=-5

2x+1-1=5-1 > 2x+1-1=-5-1

2x=4 > 2x=-6

2x÷2=4÷2 > 2x÷2=-6÷2

x=2 > x=-3

Answer:

Answer is A

Step-by-step explanation:

The slope of a line in an equation like this is the number right before x so if the slope must be -5/6 the the only sequence with that slop is A.

Answer:

A) y=-5/6+1

Step-by-step explanation:

You want to find the equation for a line that passes through the point (6,-4) and has a slope of -5/6.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -5/6. So you can right away fill in the equation for a line somewhat to read:

y=-5/6x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(6,-4). When x of the line is 6, y of the line must be -4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the -5/6 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (6,-4).

So, why not plug in for x the number 6 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(6,-4). y=mx+b or -4=-5/6 × 6+b, or solving for b: b=-4-(-5/6)(6). b=1.

The equation of the line that passes through the point (6,-4) with a slope of -5/6

is

y=-5/6x+1

Answer:

w=4

Step-by-step explanation:

[tex]A=lw[/tex]

[tex]40= (10)w[/tex]

[tex]\frac{40}{10} = \frac{10}{10}w\\w=4\\[/tex]

Answer:

6

Step-by-step explanation:

3,6,9.12

2,4,6,8,10,12

Answer: 5573

Step-by-step explanation:

Answer:

a

     The null hypothesis  is  [tex]H_o  :  \mu  = 180[/tex]

      The alternative hypothesis is  [tex]H_a :  \mu  <  180[/tex]

b

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

Step-by-step explanation:

From the question we are told that

     The population mean is  [tex]\mu  =  3 \  minutes =  180 \  seconds [/tex]

     The sample  size is  n =  25

     The excel sheet is show on the first uploaded image

     The level of significance is  [tex]\alpha =  0.05[/tex]

     The null hypothesis  is  [tex]H_o  :  \mu  = 180[/tex]

      The alternative hypothesis is  [tex]H_a :  \mu  <  180[/tex]

Generally the sample mean is mathematically represented as

        [tex]\= x  =  \frac{156 + 136 + \cdots  + 181}{25}[/tex]

=>      [tex]\= x  = 173.2 [/tex]

Generally the standard deviation is mathematically represented as

      [tex]\sigma  =  \sqrt{\frac{\sum  (x_i - \= x )^2 }{n} }[/tex]

=>    [tex]\sigma  =  \sqrt{\frac{  (156 - 173.2 )^2 + (136 - 173.2 )^2  + \cdots + (181- 173.2 )^2  }{25} }[/tex]

=>    [tex]\sigma  =  24.261[/tex]

Generally the test statistics is mathematically represented as

      [tex]t =  \frac{\= x  -  \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]

=>   [tex]t =  \frac{173.2 -  180 }{\frac{24.261}{\sqrt{25} } }[/tex]

=>   [tex] z = -1.40[/tex]    

Generally p-value is mathematically represented as

  [tex]p-value  =  P(Z <  z)[/tex]

=>  [tex]p-value  =  P(Z < -1.40)[/tex]

From the z-table  

   [tex]P(Z < -1.40) =  0.080757[/tex]

=>   [tex]p-value  = 0.080757 [/tex]

From the obtained value we that  [tex]p-value >  \alpha[/tex]

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

Step-by-step explanation:

ln(n) is smaller than n for all n ≥ 1.

Therefore, ln(n) / n⁴ is smaller than n / n⁴ = 1 / n³.

1 / n³ converges (p series test).  Therefore, the smaller function ln(n) / n⁴ also converges.

Answer:

y=3x+5

Step-by-step explanation:

Slope intercept form is always y=mx+b

'm' represents slope and 'b' represents y-intercept.

Hope it helped.