Which of the following is the solution to the quadratic equation
x2−10x+21=0 ?

Answer:

30 students.

Step-by-step explanation:

Since 20 girls make up 4/6 of the class, 1/6 of the class would be 5 students. 5*6=30, resulting in 30 students total.

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

b)15

Step-by-step explanation:

13+2=15

Hope that helps

Answer:

the amount of Basil Yamey's capital is £16,480.

Step-by-step explanation:

To calculate Basil Yamey's capital, we need to add up the value of his assets and subtract his liabilities.

The value of his assets is:

Van: £9,000

Market stall: £1,800

Computer: £280

Inventory of goods: £11,200

Cash in hand: £900

Money in the bank: £6,300

Total value of assets = £9,000 + £1,800 + £280 + £11,200 + £900 + £6,300 = £29,480

His liabilities are:

Amount still owed for inventory of goods: £5,000

Amount borrowed from Luca Pacioli: £8,000

Total liabilities = £5,000 + £8,000 = £13,000

Therefore, Basil Yamey's capital is:

Capital = Total value of assets - Total liabilities

Capital = £29,480 - £13,000 = £16,480

So the amount of Basil Yamey's capital is £16,480.

Answer:

Basil Yamey's capital is the total amount of money that he has invested in his business. This can be calculated as the sum of the cost of the assets that he has purchased, minus any outstanding debts, plus any cash or cash equivalents he has on hand.

The cost of the assets that Basil has purchased is:

£9,000 (van) + £1,800 (market stall) + £280 (computer) + £11,200 (inventory) = £21,280

He still owes £5,000 for the inventory, so the total cost of the assets minus the outstanding debt is:

£21,280 - £5,000 = £16,280

He borrowed £8,000, so the total amount of his capital is:

£16,280 + £8,000 = £24,280

He also has cash on hand and in the bank:

£900 (cash) + £6,300 (bank balance) = £7,200

So, Basil Yamey's total capital is £24,280 + £7,200 = £31,480.

Answer: Noted

Step-by-step explanation: do not p$ss off boss

i) 4 more gallons of petrol will be needed to complete the journey.

ii) The cost of the petrol for the 420 km journey is GH¢55.00.

i) To determine the number of gallons of petrol needed to complete the journey, we can calculate the total distance that can be covered with the available petrol and then subtract it from the total distance of the journey.

Given that the car consumes 1 gallon of petrol for every 30 km, we can calculate the distance that can be covered with 10 gallons of petrol by multiplying 10 (gallons) by 30 (km/gallon):

Distance covered with 10 gallons = 10 * 30 = 300 km

To find the remaining distance that needs to be covered, we subtract the distance covered with the available petrol from the total distance of the journey:

Remaining distance = Total distance - Distance covered with available petrol

Remaining distance = 420 km - 300 km = 120 km

Since the car consumes 1 gallon of petrol for every 30 km, we can determine the additional gallons of petrol needed by dividing the remaining distance by 30:

Additional gallons needed = Remaining distance / 30 = 120 km / 30 km/gallon = 4 gallons

Therefore, the driver will need 4 more gallons of petrol to complete the journey.

ii) To calculate the cost of the petrol for the journey of 420 km, we need to multiply the total number of gallons used for the journey by the cost per gallon.

Given that a gallon of petrol costs GH¢5.50, and the total number of gallons used for the journey is 10 (given in the problem), we can calculate the cost using the formula:

Cost of petrol = Total gallons used * Cost per gallon

Cost of petrol = 10 gallons * GH¢5.50/gallon = GH¢55.00

Therefore, the cost of the petrol for the journey of 420 km is GH¢55.00.

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Answer:5 8

Step-by-step explanation:left 2 up 3

The car travelled for 52.8 meters in 2 seconds

The first is to convert 95 kilometres to meters

1km= 1000 meters

= 95 × 1000

= 95,000 meters

The next step is to convert the amount in meters(95,000) to meters per seconds

1 hour = 3600 seconds

= 95,000/3600

= 26.39

Next is to multiply 26.39 by the time given(2 seconds)

= 26.39 × 2

= 52.8

Hence the car travelled for 52.8 meters in 2 seconds

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Answer: P = 4s

Step-by-step explanation:

P = 4s where s = the length of each side.  

Since each side of a square is the same length, the side length is multiplied by 4.

The cube root of -2i,

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

We can represent -2i in polar form as,

r(cosθ + i sinθ)

by computing its magnitude and angle.

The magnitude of -2i is 2

Since the absolute value of any imaginary number is equal to its magnitude.

To find the angle θ,

We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case,

The opposite side is -2 and the adjacent side is 0.

Therefore, we have tanθ = -2/0, which is undefined.

However,

We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.

So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).

Now, we need to find the value of θ/3. Since θ is undefined,

we will represent it as π/2 + 2πn,

where n is any integer.

So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.

Therefore, the cube root of -2i is equal to

⇒  ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]

Now put n = 0

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

This is the final form of the cube root of -2i in the required form.

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In the decimal for, the value of 13 tenths + 8 tenths + 32 hundredths is 2.42

Decimal

Decimal means a number that has a decimal point followed by digits that show the fractional part.

Given,

Here we have the expression 13 tenths + 8 tenths + 32 hundredths

Now, we need to find the value of this expression.

We know that, Tenths means we have one digit after the decimal point and the hundredths have two digits after the decimal point.

So, in the given expression 13 tenths is written as 1.3

And the  8 tenths is written as 0.8

And finally, the 32 hundredths is written as 0.32

Now, we have to add these numbers, then we get,

=> 1.3 + 0.8 + 0.32

=> 2.42

Therefore, the value of 13 tenths + 8 tenths + 32 hundredths is 2.42

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Answer:36

Step-by-step explanation:

x2 - 10x + 25 = 0 2x2 - 2x - 5 = 0 x2 - 16x = 36. This problem has been solved!

Answer:

Step-by-step explanation:

(5x - 1) (5x - 1)

= \((5x - 1)^{2}\)

Using laws of exponents,

\((a - b)^{2} = a^{2} - 2ab + b^{2}\)

here, a = 5x, b = 1

so it becomes,

\(5x^{2}\) - 2 × 5x × 1 + \(1^{2}\)

\(25x^{2}\) - 10x + 1

Hope this helps

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Answer:

340%

Step-by-step explanation:

I dont know I just guessed but I did

12+14+1+3+4 = 34

then I multiplied by 10 so yea.

Answer:

We conclude that the mean resting pulse rate for men is 72 beats per minute.

Step-by-step explanation:

We are given that he mean resting pulse rate for men is 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch's Gym is known to be 2.6 beats per minute.

A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below;

87, 89, 69, 63, 70, 65, 88, 84, 58, 53, 66, 70.

Let \(\mu\) = mean resting pulse rate for men.

SO, Null Hypothesis, \(H_0\) : \(\mu\) = 72 beats/minute     {means that the mean resting pulse rate for men is 72 beats per minute}

Alternate Hypothesis, \(H_A\) : \(\mu\) < 72 beats/minute      {means that the mean resting pulse rate for men is less than 72 beats per minute}

The test statistics that would be used here One-sample z-test statistics as we know about population standard deviation;

                            T.S. =  \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\)  ~ N(0,1)

where, \(\bar X\) = sample mean mean resting pulse rate = \(\frac{\sum X}{n}\)

                =  \(\frac{87+ 89+ 69 +63 +70 +65+ 88+ 84+ 58+ 53+ 66+ 70}{12}\)  = 71.83 beats/minute

            \(\sigma\) = population standard deviation = 2.6 beats per minute

            n = sample of men = 12

So, the test statistics  =  \(\frac{71.83 - 72}{\frac{2.6}{\sqrt{12} } }\)    

                                     =  -0.23

The value of z test statistics is -0.23.

Also, P-value of the test statistics is given by;

            P(Z < -0.23) = 1 - P(Z \(\leq\) 0.23)

                                 = 1 - 0.59095 = 0.40905

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is more than the critical value of z as -0.23 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean resting pulse rate for men is 72 beats per minute.

\(( \frac{ - 72}{2} )^{2} \\ = \frac{ - 72 \times - 72}{2 \times 2} \\ = \frac{5184}{4} = 1296\)

the answer of the equation is 1296

The representation that is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time is a Line Plot

A line plot, or dot plot/strip plot, is a simple visual method of displaying data that shows the spread of values on a horizontal scale. A frequent application of it is to graphically display the occurrence or spread of a solitary factor.

A line plot generally displays individual data points as a small dot or short line segment along a specific axis, usually the horizontal axis. The location of the dot or line segment indicates the numerical value of the data point. Usually, the up and down axis showcases the frequency or the number of times a particular value occurs.

With this type of Table, the top is always X and the bottom is always Y.

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Answer:

x= -13

Step-by-step explanation:

because 2 squared is 4 and -13 + 4= -9

Answer:

36,900

Step-by-step explanation:

it's right I just do not know how to explain lol

b. f(x) = x + 5, which represents a vertical shift of 5 units upwards.  f(x-a) = (x-a)^2, where a is a constant.

9) The function f(x) = x represents a linear function with a slope of 1 and y-intercept of 0. To shift the graph vertically, we need to add or subtract a constant from the function. Thus, the function that represents a vertical shift of f(x) = x would be of the form f(x) = x + b, where b is a constant.

Out of the given options, the correct answer is b. f(x) = x + 5, which represents a vertical shift of 5 units upwards.

10) To shift the graph of f(x) = x^2 horizontally, we need to add or subtract a constant inside the function, affecting the position of the vertex of the parabola. Thus, the function that represents a horizontal shift of f(x) = x^2 would be of the form f(x-a) = (x-a)^2, where a is a constant.

Out of the given options, the correct answer is a. f(x) = (x+2)^2, which represents a horizontal shift of 2 units to the left.

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Answer:b

Step-by-step explanation:

The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.

From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.

Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:

[asy]

unitsize(1cm);

pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);

draw(O--N--A,Arrow);

draw(O--S--B,Arrow);

\(label("$52^\circ$", N + 0.3*dir(52), NE);\)

\(label("$134^\circ$", S + 0.3*dir(134), SE);\)

draw(O--A--B--cycle,dashed);

\(label("$x$", (N+A)/2, W);\)

\(label("$y$", (S+B)/2, E);\)

[/asy]

We can use the tangent function to find x and y, since we have the angle and opposite side.

From the north observation point, we have:

\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)

From the south observation point, we have:

\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)

Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

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Answer:

2

Step-by-step explanation:

48/2(9+3)

=48/2(12)

=48/24

=2

hope this helps

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Answer:

The answer is 2 Have a blessed and safe day

Answer:

Step-by-step explanation:

    A,  use  three_digite  rounding  arithmetic  to compute  13- 6 and determine  the absolute,relative ,and percentage errors.

tepeat part (b) using  three – digit chopping arithmetic.

Answer: B, 1 mile / 5280 ft.

Step-by-step explanation: If you need to convert feet to miles the unit multiplier (ratio) that you use should have miles on top and feet on the bottom so that the feet cancel when you multiply, leaving miles as the unit. B is the only answer that has miles on top and feet on the bottom as well as the correct amounts (1 mile and 5280 ft).

Answer:

25000

Step-by-step explanation:

Answer:

probably A

Step-by-step explanation:

Brainliest pls

Answer:

d

Step-by-step explanation:

ut is parrell in d because the bottom line is ac n the line parrell to that,is de

The number of students who participated in the survey, based on the histogram showing the number of hours students watch television on the weekend, is 125.

A histogram is a pictorial or graphical representation of categorical data, proportional to the frequency of a variable and whose width is equal to the class interval.

The number of students who watched between 0 - 4 hours = 20

The number of students who watched between 5 - 9 hours = 40

The number of students who watched between 10 - 14 hours = 30

The number of students who watched between 15 - 19 hours = 20

The number of students who watched between 20 - 24 hours = 15

The total number of students who participated = 125

Thus, using the histogram, the total number of students who participated in the survey was 125.

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