What are the 4 lowest numbers to average 80 percent . (Lowest possible and one of the numbers has to be 60)

If x is the quantity of trick skis sold and y is the quantity of slalom skis sold, and x and y are both nonnegative numbers, then x 0 and y 0.

We can see from the first row of the table that 6x + 4Y 216 because 6x indicates the work hours required to make x number of trick skis and 4y is required to make y number of slalom skis. We get at 6X + 4Y 216 since the sum (6x+4y) cannot be greater than 216 hours.

Using a similar logic, the second row provides us with the following inequality:

X + Y ≤ 40

X 0 Y 0 6 X + 4 Y 216 X + Y 40

The points at the vertices are:

A = (0, 0)\sB = (0, 40)\sC = (12, 28)\sD = (33, 0) (33, 0)

By intersecting the border lines, one can locate each vertex point. For instance, the intersection of the boundary lines 6x+4y = 216 and x + y = 40 is point C.

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Independent samples make up the ratings for each circumstance. Using pairs of sample means from various levels of a factor, it is possible to identify those that differ significantly from one another.

Statistics uses variance as a metric for variability. It evaluates the square root of the average deviation between the data values and the mean. It includes all data points in its calculations, unlike some other statistical measures of variability, by comparing each value to the mean. Variances can happen for internal or external causes, and they might involve things like human mistake, unrealistic expectations, and shifting business or economic conditions.

Correct option:

(b) pairs of sample means from different levels of a factor to determine which are significantly different each other.

(3) Correct option:

a.    between

Explanation: In ANOVA, an independent variable studied using independent samples in all conditions is called a between subjects factor.

(4) Correct option:

a.   within

Explanation: In ANOVA, an independent variable studied using related samples in all conditions is called a within subjects factor.

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Based on the information and the dimensions of the scaled figure, we can infer that the dimensions of the actual figure are 2.1 meters by 3.9 meters.

To calculate the measures of the original figure we must apply a rule of three. In this case, the logic that we must use is: if 2 centimeters are equivalent to 1 meter, how much is 4.2 cm and 7.8 cm respectively.

According to the above, the measurements of the original figure are: 2.1 meters by 3.9 meters.

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Answer:

-6x^3-8x^2+5x+12

Step-by-step explanation:

See attachment

The within-group estimate of variance is the estimate of the variance of the population of individuals based on the variation among the scores in each of the actual groups studied.

The within-groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:
Scores in each of the actual groups studied.
This estimate represents the variation within each group and helps in understanding the population's variance by looking at individual differences within the groups.

The estimated within-group variance is the sum of the within-group variances for each group in the model. Effectively, this is the sum of the variance of each value (j) from its group (i) divided by the sample size minus one.

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Answer:

Wednesday

Step-by-step explanation:

Averages

Wednesday-5.5

Monday-7.5

Friday-6.5

Answer:

  ∠ABD = 19.5°

  ∠ABE = 160.5°

Step-by-step explanation:

Given angle ABC = 39° and its bisector BD, you want the measures of angle ABD and ABE, its supplement.

An angle bisector divides an angle into two equal parts, each with half the measure of the whole.

  ∠ABD = 1/2∠ABC

  ∠ABD = 1/2(39°)

  ∠ABD = 19.5°

The angles of a linear pair are supplementary: they total 180°. Angles ABD and ABE form a linear pair.

  ∠ABE = 180° -∠ABD

  ∠ABE = 180° -19.5°

  ∠ABE = 160.5°

The simplified form of the polynomial ( x + 6 )( x² - 3x - 4 ) is x³ + 3x² - 22x - 24

Given the polynomial in the question;

( x + 6 )( x² - 3x - 4 )

Apply distributive property.

x( x² - 3x - 4 ) + 6( x² - 3x - 4 )

x³ - 3x² - 4x + 6x² - 18x - 24

Collect like terms

x³ - 3x² + 6x² - 18x - 4x - 24

Add like terms

x³ - 3x² + 6x² - 18x - 4x - 24

Add -3x² and 6x²

x³ + 3x² - 18x - 4x - 24

Add -18x and -4x

x³ + 3x² - 22x - 24

Therefore, the simplified form is x³ + 3x² - 22x - 24.

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Answer:

17

Step-by-step explanation:

F(5) means you replace/ substitute all x's with 5's

Therefore, it would look like this:

f(x) = 3x + 2

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

Answer: its Square but the top one is rectangle

9514 1404 393

Answer:

  3√5 ≈ 6.708

Step-by-step explanation:

The distance between points is given by the distance formula:

  \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(4-7)^2+(-5-1)^2}=\sqrt{(-3)^2+(-6)^2}\\\\d=\sqrt{9+36}=\sqrt{9\cdot5}\\\\\boxed{d=3\sqrt{5}\approx 6.708}\)

Answer:

12

Step-by-step explanation:

3x+5+49=90

3x+54=90

3x=90-54

3x=36

3x/36/3

x=12

The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

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Answer:

d)

Step-by-step explanation:

the sites of the boat alone is 16 km/h.

downstream and upstream the effective speed is then influenced plus and minus by the current.

the distance traveled is 15km.

as speed = distance/time

then distance / speed = distance / (distance/time) = time

and we know the time it takes : 5.5 hours.

so, only answer d uses the right values in the "right places".

\(\displaystyle\\Answer:\ y=\frac{x}{3}-60\)

Step-by-step explanation:

                                            y=kx+b    (1)

     The formula for the slope coefficient of the straight line

                               \(\displaystyle\\\boxed {k=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1} }\)

Choose two coordinate points belonging to the line: (0,-60)  (30,-50)

Hence,

\(\displaystyle\\k=\frac{-50-(-60)}{30-0} \\\\k=\frac{-50+60}{30}\\\\k=\frac{10}{30} \\\\k=\frac{1*10}{3*10} \\\\k=\frac{1}{3} \\\\Thus, \ y=\frac{1}{3} x+b\\(0,-60)\\-60=\frac{1}{3} (0)+b\\-60=0+b\\-60=b\\\\As \ a\ result:\\\\y=\frac{x}{3}-60\)

Answer:

6 package

Step-by-step explanation:

Given:

Amount of cheese needs = 3 KG = 3,000 gram

Assume;

1 package of cheese = 500 gram

Find:

Number of package need

Computation:

Number of package need = Amount of cheese needs / 1 package of cheese

Number of package need = 3,000 / 500

Number of package need = 6 package

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Answer : \(\boxed{(2x + 5 ) (2x - 5)}\)

\(4x^2-25\)

Rewrite \(4x^2\) as \((2^x)^2\).

\((2x)^2 - 5^2\)

Rewrite \((2x)^2\) as \(5^2\).

\((2x)^2 - 5^2\)

Since both terms are perfect squares, factor using the difference of squares formula, \(a^2 - b^2 = ( a + b ) ( a - b )\) where \(a = 2x\) and \(b = 5\).

\((2x + 5 ) (2x - 5)\)

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Answer:

AB = 4/cos25

Put in calculator and put to the nearest hundredth or 2 dp

Step-by-step explanation:

The angle 25 is the starting point and adjacent is 4 and the unknown or we will call it x is the hypotenuse.

We will use CAH

Cos25 = 4/x

We need x by itself so

x = 4/cos25

Put in calculator and put to the nearest hundredth or 2 dp

= ????

In August 2016, the Compounding Department had 6,000 equivalent units for the beginning work in process and 102,000 equivalent units for the units started. The total equivalent units were 108,000.


To calculate the equivalent units, we consider the work in process at the beginning and the units started during the period. The beginning work in process was 6,000 pounds at 60% processed, which gives us 6,000 x 0.60 = 3,600 equivalent units. The units started were 102,000 pounds, which are considered 100% processed, resulting in 102,000 equivalent units.

Adding the equivalent units from the beginning work in process and the units started, we get a total of 3,600 + 102,000 = 105,600 equivalent units. However, since the ending work in process was 90% processed, we need to multiply it by 0.90 to calculate the additional equivalent units. This gives us 96,000 x 0.90 = 86,400 equivalent units. Finally, we add the additional equivalent units to the total, resulting in 105,600 + 86,400 = 192,000 equivalent units for the Compounding Department in August 2016.

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Planting an additional 210 vines will maximize grape production.

To find the number of vines that should be planted to maximize grape production, we need to find the maximum value of the function A(n) = (800 + n)(10 - 0.01n), which represents the number of pounds of grapes produced per acre as a function of the number of additional vines planted. To find the maximum value, we can take the derivative of A(n) with respect to n and set it equal to zero.

A'(n) = -0.01n² + 2.1n + 800

Setting A'(n) = 0, we get

-0.01n²+ 2.1n + 800 = 0

Solving for n using the quadratic formula, we get

n ≈ 210

Therefore, planting an additional 210 vines will maximize grape production.

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Check the picture below.

Answer:

8,500

Step-by-step explanation:

Answer:

8,500

Step-by-step explanation:

The height of the water increasing at the rate of   \(\frac{1}{12} \frac{m}{min}\) .

What is a function?

In mathematics, a function is a unique arrangement of the inputs (the domain) and their outputs (the codomain), where each input has exactly one output and the output can be linked to the input.

We need a function to connect the two variables when there are associated rates; in this instance, it is unmistakably volume and height. The equation is:

\(V=\) \(\pi r^{2}h\)

Although radius is mentioned in the formula, it is not a variable in this issue because it is constant. We might change the value in

V=\(\pi(6m)^{2}h\)

We must implicitly differentiate wrt (with respect to) time because the rate in this problem is tied to time

\(\frac{dV}{dt} =(36m^{2} )\)  \(\pi\frac{dh}{dt}\)

In the problem, we are given  \(3\frac{m^{2} }{min}\)   which is  \(\frac{dV}{dt}\) .So we substitute this in:

\(\frac{dh}{dt} =\frac{3m^{3}}{min(36m^{2} )\pi }\)

\(=\frac{3}{36\pi} \frac{m}{min}\)

\(=\frac{1}{12} \frac{m}{min}\)

Hence, the height of the water increasing at the rate of  \(\frac{1}{12} \frac{m}{min}\) .

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Answer:

Slope of the line if two points are known

Step-by-step explanation:

Formula is y2-y1/x2-x1

so that 1-(-9)/-2-(-2)

10/0 is undefined that means line is parallel to y-axis

when a line is parallel to y axis it has no slope.

Answer:

Incorrect

Step-by-step explanation:

When you subtract a negative number it changes it to adding a positive number according to math rules.

6 - (-8) -> 6 + 8

Best of Luck!

Answer:

if Bob rewrite the expression 6-(-8) as 6-(+8) it will be incorrect.

Step-by-step explanation:

If Bob rewrite the expression, 6-(-8) as 6-(+8) he will be incorrect because if he right 6-(-8) as 6-(+8) it will be completely incorrect as if we open the bracket of 6-(-8) it becomes 6+8which is 14 but if we opens open the bracket of 6-(+8) which is -2 and hence simplify will be totally incorrect .Thus,bob should not rewrite the expressions, 6-(-8) as 6-(+8).

Answer:

0.34

Step-by-step explanation:

Considering the right-angled triangle XYW, an approximate ratio WY/WX is equal to 0.34. The correct option is A.

A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more formally, an orthogonal triangle, formerly known as a rectangle triangle. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Considering the right-angled triangle XYW, we would apply the law of cosine to approximate the ratio WY/WX. Mathematically, the law of cosine is given by:

cos(θ) = Adj/Hyp

Where:

Adj is the adjacent side of a right-angled triangle.

Hyp is the hypotenuse of a right-angled triangle.

θ is the angle.

Substituting the given parameters into the formula, we have;

cos(θ) = WY/WX

cos(70) = 3.4/10

0.34 = 0.34.

Therefore, the correct option is A.

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