7.008,7.09,7.180 least to greatest

9514 1404 393

Answer:

  b) y=(x+6)^2-32

Step-by-step explanation:

Add and subtract the square of half the x-coefficient to put into vertex form.

  f(x) = x^2 +12x +4 . . . . . given

  y = x^2 +12x +36 +4 -36 . . . . add and subtract (12/2)^2 = 36

  y = (x +6)^2 -32 . . . . . . . . . . . write in vertex form

Answer:

Step-by-step explanation:

hope it helps

Answer:

it lies between 8 hours and 12 hours in a week  

Step-by-step explanation:

Since in the question it is mentioned that the distribution consist of uni-modal, symmetric and bell shaped so here the empirical formual to be used for the mean and the standard deviation

Also the 68% would be fall within one standard deviation above and below the mean

Now

1 standard deviation below the mean is

\(= \mu - \sigma\)

= 10 - 2

= 8 hours

And, above the mean is

\(= \mu + \sigma\)

= 10 + 2

= 12 hours

Hence, it lies between 8 hours and 12 hours in a week  

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

We have ,

Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

Hence, Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

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complete question:

A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?

b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?

d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?

e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?

f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?

g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?

The length of the rectangular garden given the area and width is 8/7 miles

A rectangle is a form of quadrilateral having opposing sides parallel and four right angles. The area of a rectangle can be calculated by multiplying the length by width.

Area of a rectangular garden = length × width

16 = x × 14

16 = 14x

x = 16 / 14

x = 8/7 miles

Therefore, the length of the rectangular garden given the area and width is 8/7 miles.

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After 10 years with a Compound interest rate of 1.9%, the amount in Carrie's account will be approximately $1777.87.

The amount that will be in Carrie's account after 10 years with compound interest, we can use the formula Pt = P0 ⋅ (1 + r)^t.

Given:

P0 = $1480 (initial deposit)

r = 1.9% = 0.019 (interest rate as a decimal)

t = 10 (number of years)

Substituting these values into the formula, we get:

Pt = $1480 ⋅ (1 + 0.019)^10

Using a calculator, we can evaluate the expression inside the parentheses:

(1 + 0.019)^10 ≈ 1.201223

Now we can calculate the final amount in Carrie's account:

Pt ≈ $1480 ⋅ 1.201223

Pt ≈ $1777.87

Therefore, after 10 years with a compound interest rate of 1.9%, the amount in Carrie's account will be approximately $1777.87.

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Answer:

X=11 trust me on my mom

Answer:

False

Step-by-step explanation:

The range of the function is the set of all possible y values, in our case that would be {5, 6, 8, 13}, there for the range of the function is not {2, 4, 5, 6}, therefore the statement is false.

=========================================================

Explanation:

All three sides of any equilateral triangle are always the same length. Let's say x is the side length. That means 3x is the perimeter. You can think of it like saying x+x+x = 3x

Solving 3x = 36 leads to x = 12 after dividing both sides by 3.

Each side of the equilateral triangle is 12 cm long. This is the base of the triangle and the height is given to be 15 cm.

area = base*height/2

area = 12*15/2

area = 180/2

area = 90 square cm

9514 1404 393

Answer:

  g = 1/6(w+40)​

Step-by-step explanation:

The given equation is already solved for g. Nothing need be done.

  g = 1/6(w+40)​

Answer:

In order to prepare for this section, let's review how the values of "a", "h", and "k" affect the graph of the parent function y = x 2. Answer each of the following questions and use your prior knowledge of graphing quadratic functions. Once you have your answer, click on each question to reveal the solution.

Step-by-step explanation:

The table representing the straight line y = 7x, is given below.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the following equation -

y = 7x

We can write the table as -

[x]       [y]

1            7

2          14

3          21

4          28

5          35

Therefore, the table representing the straight line y = 7x, is given above.

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Answer:

54

Step-by-step explanation:

6/7 x 63/1

6 x 63 = 378

-----------

7 x 1 = 7

378 divided by 7 equals 54.

Hope this helps somewhat :)

6/7 × 63 =

63 × 6 / 7 =

7 × 9 × 6 / 7 =

7 simplify from the face and denominator of the fraction

9 × 6 =

54

Answer:

3rd  option

Step-by-step explanation:

\(\frac{5}{7}\) y = 6

multiply both sides by \(\frac{7}{5}\) , the reciprocal of \(\frac{5}{7}\) )

\(\frac{7}{5}\) ( \(\frac{5}{7}\) y ) = \(\frac{7}{5}\) (6) , that is

y = \(\frac{42}{5}\)

Answer:

Step-by-step explanation:

The simplified expression of the radical expression ∛135a¹³ is (135a¹³)¹/³

From the question, we have the following parameters that can be used in our computation:

A radical expression

The radical expression is given as

\sqrt[3]{135^{a13}}

Represent the expression properly

So, we have the following representation

∛135a¹³

Apply the exponent rule of indices

This gives

∛135a¹³ = (135a¹³)¹/³

135 and a¹³ are not perfect cube root expressions

This means that the expression cannot be further simplified

Hence, the solution is (135a¹³)¹/³

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Step-by-step explanation:

the answer is:

1. 12.5

2.26.67

The row percentages for A, B, and C will be 0%, 83.3%, and 15.4% respectively.

The row percentage for A will be:

= 0/5 × 100

= 0%

The row percentage for B will be;

= 10/12 × 100

= 83.3%

The row percentage for C will be:

= 2/13 × 100

= 15.4%

The column percentage for A will be:

= 0/12 × 100

= 0%

The column percentage for B will be:

= 10/12 × 100

= 83.3%

The column percentage for C will be:

= 2/12 × 100

= 16.7%

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Answer:

approx 32years so pick answer A

Step-by-step explanation:

22000x4=88000
22000x1.045^t
22000x1.045^31=84,104
22000x1.045^32=89,979

Answer:

Area of big rectangle - area of mini rectangle

56in2 - 3in2

B. 53 in2

Step-by-step explanation:

Separate the two rectangleulsr shapes. 3x6 which equals 18.

8-3=5

5×7= 35

35+18= 53

B. 53 in sq

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.

Let's consider the probabilities:

P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49

P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276

If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:

P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524

However, the actual joint probability is different from the expected value:

P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276

Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.

Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.

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2975.5

The given expression is:

85 x 35 + 6 ÷ 12

Following the BODMAS rule:

The division operator will be treated first

The expression therefore becomes

Next, the multiplication operator is treated:

Answer: 7

Step-by-step explanation:

Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.

The angle in degrees is 873.1843.

Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).

According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.

Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.

Multiplying both sides of the equation by 180/π, we get:

θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843

Thus, the angle in degrees is 873.1843.

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33in is length of  CD by using angle of reflection.

What is Angle of reflection?

CD should be a perpendicular line to CB.

Angle of incidence = Angle of reflection

Angle ACD = Angle EAC

Let the perpendicular intersection point from A to side be G

The two right-angled triangles, CDG and CAG, are similar by AAA.

So DG/AG = CD/CA

46/18 = CD/CA

CD+CA = 96-50 = 46

CA = 46-CD

46/18 = CD/(46-CD)

46*46 - 46CD = 18CD

64CD = 46*46

CD = 33.06 = 33in

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Answer:

7 I think

Step-by-step explanation:

2 x 40 / 7 x 1 = 80 / 7

A

Step-by-step explanation:

the answer you chose is correct, multiplying the 4 members w 10 and the other one by 24,

The coordinates of the point P lying between AB is found as (7, -2/5).

For the given question;

The two end coordinates are;

(x₁, y₁) = (8, 0)

(x₂, y₂) = (3, -2)

The ratio of the division is;

AP/PB = 1/4

OR

m:n = 1:4

The Formula for finding the coordinates of P for internally crossing is;

x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Put the values;

x = (mx₂ + nx₁)/(m + n)

x = (1×3 + 4×8)/(1 + 4)

x = (3 + 32)/5

x = 7

Now for y coordinates.

y = (my₂ + ny₁)/(m + n)

y = (1×(-2) + 4×0)/(1 + 4)

y = -2/5

Thus, the coordinates of the point P lying between AB is found as (7, -2/5).

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Answer:

C-$6.00 monthly fee and $1.25 per video game

Step-by-step explanation:

The monthly fee and the cost per video game that Susan pays

use the rental service is C. $6.00 monthly fee and $1.25 per video game.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

From the graph the two pair of points are (0, 6) and (8, 16).

So, slope(m) = (16 - 6)/(8 - 0).

slope(m) = 10/8.

slope(m) = 5/4.

slope(m) = 1.25.

So, The monthly subscription fee is $1.25.

Now, Cost of one video game can be obtained by equation y = mx + b.

6 = 1.25(0) + b.

b = 6, so the cost of per video game is $6.

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