1) what percentage of the shape below is shaded?

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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By applying total cost concept, it can be concluded that the expression represents the total cost is 1.45d (option A).

Algebra is a branch of mathematics that uses symbols and mathematical operations, such as addition, subtraction, multiplication, and division to solve problems.

It is usually used to solve a problem in various fields of study, such as chemistry, biology, economics, and so on.

One of the most familiar uses of algebra is how to calculate the total cost:

Total cost = n x p , where:

n = number of products

p = product price per piece

We know that Jim is going to buy donuts for his family:

p = $1.45

n = d

So the total cost can be calculated by multiplying 1.45 by d, which equals 1.45d.

Thus the expression represents the total cost is 1.45d (option A).

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The median to this problem is 23

the maximum error in the calculated volume of the box is estimated to be 72 cubic feet.

The volume of a box is given by the formula V = lwh, where l is the length, w is the width, and h is the height.

Given:

Length (l) = 8ft (with a maximum error of 0.1ft)

Width (w) = 6ft (with a maximum error of 0.1ft)

Height (h) = 5ft (with a maximum error of 0.1ft)

Let's find the differentials for each variable:

dl = 0.1ft (maximum error in length)

dw = 0.1ft (maximum error in width)

dh = 0.1ft (maximum error in height)

Using differentials, the change in volume (dV) can be approximated as:

dV = (∂V/∂l)dl + (∂V/∂w)dw + (∂V/∂h)dh

Taking the partial derivatives of V with respect to l, w, and h:

∂V/∂l = wh

∂V/∂w = lh

∂V/∂h = lw

Substituting the values:

dV = (wh)(0.1ft) + (lh)(0.1ft) + (lw)(0.1ft)

Calculating the maximum error in the calculated volume:

dV = 0.1(wh + lh + lw)

Now, substituting the values for l, w, and h:

dV = 0.1(8ft × 6ft × 5ft + 8ft × 6ft × 5ft + 8ft × 6ft × 5ft)

Simplifying the calculation:

dV = 0.1(240ft³ + 240ft³ + 240ft³)

dV = 0.1(720ft³)

dV = 72ft³

Therefore, the maximum error in the calculated volume of the box is estimated to be 72 cubic feet.

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Answer:

C

Step-by-step explanation:

1/18 x³y + 7/18 xy²

1/18 xy (x² + 7y)

Answer:

(x + 12)

Step-by-step explanation:

It is given that6x3 - 864x

Taking 6x as common = 6x (x2) + 6x (-144)

We can write it as := 6x (x2 - 144)

a2 - b2 = (a + b) (a - b)

= 6x (x + 12) (x - 12)

Therefore, the factors of 6x3 − 864x are 6x (x + 12) (x - 12).

No, Lydia's assertion that δSTU is a right triangle is not correct.

A right triangle is a triangle in which one of the angles measures 90 degrees (a right angle). To determine if δSTU is a right triangle, we need to examine the angles formed by the given coordinates.

Using the coordinates:

s (-3, 0)

t (0, -3)

u (3, -3)

We can calculate the slopes of the lines formed by connecting these points to see if any of them are perpendicular (indicating a right angle).

The slope of the line connecting points s and t is:

m(st) = (y₂ - y₁) / (x₂ - x₁) = (-3 - 0) / (0 - (-3)) = -3/3 = -1

The slope of the line connecting points s and u is:

m(su) = (y₂ - y₁) / (x₂ - x₁) = (-3 - 0) / (3 - (-3)) = -3/6 = -1/2

The slope of the line connecting points t and u is:

m(tu) = (y₂ - y₁) / (x₂ - x₁) = (-3 - (-3)) / (3 - 0) = 0/3 = 0

None of the slopes calculated are perpendicular to each other, meaning none of the angles formed by the given coordinates are 90 degrees. Therefore, δSTU is not a right triangle.

In summary, Lydia's assertion that δSTU is a right triangle is incorrect because the angles formed by the given coordinates do not include a 90-degree angle.

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Answer:

Less than 1 kg

Step-by-step explanation:

1 gram = 0.001kg

So 60g = 0.06kg

Answer:6480

Step-by-step explanation:

Answer:

your answers are

Step-by-step explanation:

1. \(2x-3=y+3\)

\(2x-3=y+3\\ 2x+y=-3\\divide |by |2\\x+y=-1.5\)

so x + y = -1.5

Answer:

10/3

Step-by-step explanation:

SOLUTION

Since they are 10 cards, the total possible outcome is 10.

There are five cards bearing even numbers. These are 2, 4, 6, 8 and 10

Answer:

x=\(\frac{7}{22}\)

Step-by-step explanation:

To solve for x, you need to isolate it. The first step is dividing by \(\frac{2}{7}\) on both sides. Dividing by a fraction is just like multiplying by the reciprocal, so really you are multiplying both sides by \(\frac{7}{2}\). \(\frac{1}{11}\) × \(\frac{7}{2}\) =\(\frac{7}{22}\)

Answer:

3√3ut³

Step-by-step explanation:

3√3ut³ is the correct answer

Answer:

61.5

Step-by-step explanation:

\(A=\frac{1}{2}ap=\frac{1}{2}(4.1)(30)=61.5\)

The size sample would be needed to estimate the proportion of black with an error of no more than 0.05 and a confidence level of 95% is 289.

The size sample can be calculated with the equation as follows:

\(n=(\frac{Z_{1-\frac{a}{2} }^ }{a})^{2} P (1-P)\)

where,

n = size sample

\(Z_{1-\frac{a}{2} }^{2}\) = 1.96 for \(a\)=0.05

\(P\) = population

\(a\) = margin of error

Therefore,

\(n=(\frac{1.96^{}}{0.05})^{2} 0.25(1-0.25)\)

\(n=(\frac{1.96^{}}{0.05})^{2} 0.25(0.75)\)

\(n=288.12\) ≈ 289

The number of size sample is 289

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Based on the base case and the inductive step, we can conclude that every string in the set S, generated by the recursive rules, begins with the character 'a'.

To prove that every string in the set S begins with the character 'a', we can use mathematical induction to demonstrate the property for all strings generated by the recursive rules.

**Base Case:**

The base case states that the string 'a' is in the set S. This string clearly begins with the character 'a', so the property holds for the base case.

**Inductive Step:**

Now, we assume that the property holds for a string x, which means that x begins with the character 'a'. We need to show that the property also holds for the strings generated by the recursive rules using x.

**Rule 1:**

According to Rule 1, if x ∈ S, then xb ∈ S. Let's assume that x begins with 'a' since we are assuming that the property holds for x. We need to show that xb also begins with 'a'.

If x begins with 'a', then we can represent it as x = 'a' + y, where y is a string that can be empty or contain characters other than 'a'. Now, applying Rule 1, we have xb = ('a' + y) + 'b' = 'a' + (y + 'b'). Since 'a' + (y + 'b') is of the form 'a' + z, where z = y + 'b', we can conclude that xb begins with 'a'. Hence, the property holds for xb.

**Rule 2:**

According to Rule 2, if x ∈ S, then xa ∈ S. Again, assuming that x begins with 'a', we need to show that xa also begins with 'a'.

Using the same representation for x as above (x = 'a' + y), we have xa = ('a' + y) + 'a' = 'a' + (y + 'a'). Since 'a' + (y + 'a') is of the form 'a' + z, where z = y + 'a', we can conclude that xa begins with 'a'. Therefore, the property holds for xa.

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Answer:

Step-by-step explanation:

Solve 2x−9y=14;−5x+9y=−8

Steps:

I will solve your system by substitution.

(You can also solve this system by elimination.)

2x−9y=14;−5x+9y=−8

Step: Solve2x−9y=14for x:

2x−9y+9y=14+9y(Add 9y to both sides)

2x=9y+14

2x

2

=

9y+14

2

(Divide both sides by 2)

x= 9

2

y+7

Step: Substitute

9

2

y+7forxin−5x+9y=−8:

−5x+9y=−8

−5(

9

2

y+7)+9y=−8

−27

2

y−35=−8(Simplify both sides of the equation)

−27

2

y−35+35=−8+35(Add 35 to both sides)

−27

2

y=27

−27

2

y

−27

2

=

27

−27

2

(Divide both sides by (-27)/2)

y=−2

Step: Substitute−2foryinx=

9/ 2

y+7:

x= 9/ 2 y+7

x= 9/ 2 (−2)+7

x=−2(Simplify both sides of the equation)

Answer:

x=−2 and y=−2

Infanite many solutions

Answer:

(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)

Step-by-step explanation:

For the first picture :

The missing angle :

180 - (32 + 90)

180 - (122) = 58°

To obtain the length of side x:

From ptthagoras:

Tan58° = opposite / Adjacent

1.6003345 = 15 / x

x = 15 / 1.6003345

= 9.37

y = sqrt(15^2 + 9.37^2)

y = sqrt(312.7969)

y = 17.7m

2)

Missing angle :

From ptthagoras :

Sin54° = opposite / hypotenus

0.8090169 = y/ 24

y = 0.8090169 * 24

y = 19.42

x = sqrt(24^2 - 19.42^2)

x = sqrt(198.8636)

x = 14.10

3)

Sin21° = opposite / hypotenus

0.3583679 = 8 /y

y = 8 / 0.3583679

y = 22.3

x = sqrt(22.3^2 - 8^2)

x = sqrt(433.29)

x = 20.8

Using Percentage concept, Kareem had $7939 at the end of last year

Percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

In this problem, we could attempt to use reverse of simple interest formula, however, we can directly find 6.6% of 8500 and subtract it from the principal.

This is calculated as;

6.6/100 = x / 8500

0.066 = x / 8500

x = 8500 * 0.06

x = 561

The investment decreased by $561

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Answer:

$7.01

Step-by-step explanation:

Answer:

$7.01

Step-by-step explanation:

You have seven whole dollars, which goes before the decimal point, then your cents go behind the decimal point.

The distribution in residence is different today at a 0.05 level of significance can be conclude because the p-value = 0.0172

from the data given we can make the table below:

Categories       Observed(fo)        Expected (fe)        (fo-fe)²/fe

NW Oregon        3109           4357*0.727=3167.539       1.082

SW Oregon        902             4357*0.207=901.899           0

Central Oregon    244          4357*0.048=209.136         5.812

Eastern Oregon    102           4357*0.028=121.996         3.277

Sum =                    4357        4357                                   10.171

first,  null and alternative hypotheses need to be tested:

H0​:p1​=0.727,p2​=0.207,p3​=0.048,p4​=0.028

Ha​: The population proportion partially deviates from the value given by the null hypothesis

This corresponds to a Chi-Square test for Goodness of Fit.

then, Based on the data provided, the significance level is α=0.05, the number of degrees of freedom is df=4−1=3, so then the rejection region for this test is R={\(X^{2}X^{2}\)>7.815}.

after that we should do test statistic

The Chi-Squared statistic is calculated as follows:

∑\(^{n} _{i=1}\)\(\frac{(Oi-Ei)}{y} \\\) =   1.082+0+5.812+10.171 +3.277= 10.171

the we can make a decision about the null hypothesis by

\(X^{2} = 10.71 > X^{2} _{c} = 7.815\)

it is then concluded that the null hypothesis is rejected.

Therefore, there is enough evidence to claim that some of the population proportions differ from those stated in the null hypothesis, at the α=0.05 significance level.

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The actual area of the bedroom is bigger than the actual area of the kitchen.

The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The area of a rectangle is determined by its dimensions. A rectangle's area is essentially equal to the product of its length and breadth.

In the drawing, the kitchen is in the shape of a rectangle with dimensions of 12 cm × 27 cm.

Therefore, the area of the rectangle will be:

Area = Length × Breadth

Area = 12 cm × 27 cm

Area = 324 cm²

Now, the actual area of the bedroom is 300,000 cm².

Then the difference between the area,

difference = bedroom - kitchen

difference = 300,000 - 324 cm²

difference = 299676 cm²

Therefore, the area of the bedroom is bigger than the area of the kitchen.

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Answer:

20

Step-by-step explanation:

The no. of people will be 2/3 of the pounds of turkey.

2/3 of 30 is 20.

Hope this helps!

Answer:

Options 2 and 4.

Step-by-step explanation:

Line MK is the perpendicular bisector of line LN, because it cuts through its midpoint.

Line ML is equal to line MN because it is a kite, and a kite has two adjacent sides equal.

Answer:

You can't

Step-by-step explanation:

This is just an expression that has been simplified. You would be able to solve for x if this was an equation.

149.5 +15x=149.5 +15x get variables to one side

-15x

149.5=149.5

there the same

So there are no for x that can make this equation true