Solve each of the quadratic equations.
0 =522 - 2x + 6​

Answer:

Step-by-step explanation:

To find out which shop is selling the watch for the cheaper price in the sale, we need to calculate the sale price of the watch in both shops.

In Tymes, the normal price of the watch is reduced by £18. Therefore, the sale price of the watch in Tymes is:

80 - 18 = £62

In Sekonds, the normal price of the watch is reduced by 20%. Therefore, the sale price of the watch in Sekonds is:

80 - (20% * 80) = £64

Therefore, Tymes is selling the watch for a cheaper price in the sale.

I hope this helps! Let me know if you have any other questions or if there is anything else I can help you with.

The correct answer is not given, but the number of acres in the parcels is 160, 40, 40, 40, and 40, respectively, for a total of 320 acres.

To solve this problem, we need to use our knowledge of how to calculate the number of acres in a parcel of land.                     We can do this by multiplying the length by the width of the parcel. Here are the steps to solve this problem:                                    

1. Calculate the number of acres in the n1/2 of section 15. The n1/2 is half of a section, which means it is 320 acres. However, we are only interested in the number of acres in the n1/2 of section 15, so we need to divide 320 by 2. This gives us: 320/2 = 160.                                                  Therefore, there are 160 acres in the n1/2 of section 15.

2.Calculate the number of acres in the ne1/4, nw1/4, sw1/4, and se1/4 of section 15. These are all quarter sections, which means they are 160 acres each. However, we are only interested in the number of acres in each quarter section of section 15, so we need to divide 160 by 4. This gives us: 160/4 = 40.                                                                                                                             Therefore, there are 40 acres in each of the ne1/4, nw1/4, sw1/4, and se1/4 of section 15.

3. Add up the number of acres in each parcel to get the total number of acres. The total number of acres is the sum of the number of acres in each parcel. Therefore, we can add up the number of acres in the n1/2, ne1/4, nw1/4, sw1/4, and se1/4 of section 15 to get the total number of acres. This gives us: 160 + 40 + 40 + 40 + 40 = 320.                                                                   Therefore, there are 320 acres in the n1/2, ne1/4, nw1/4, sw1/4, and se1/4 of section 15.

The correct answer is not given, but the number of acres in the parcels is 160, 40, 40, 40, and 40, respectively, for a total of 320 acres.

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Answer:

3 cups of flour

Step-by-step explanation:

We know

2 cups of sugar = 1 cup of flour

1 cup of sugar = 0.5 cup of flour

To find how many cup of flour for 6 cups of sugar

We take 6 times 0.5 = 3 cups of flour

So, 3 cups of flour will be needed for 6 cups of sugar.

If you can, please give me a Brainliest; thank you!

Answer:

Area of Mrs. Margarita's garden = 1188.39 m²

Step-by-step explanation:

Using the most basic formula to solve this question i.e. Area of circle. We know that: Area of of circle = πr². But in problem we are provided with a half shaped circle. Means we need to use the half of the area of circle or you can say semi-circle.

Now, read the question again. Mrs. Margarita has a garden shaped like a half-shaped circle with a diameter of 55 m. Given diameter is 55 m and we know that radius is half of the diameter. So, radius is 55/2 m. Rest what we need to do is substitute the values and do the rest calculations.

Let's dive in!

= 1/2 × 22/7 × 55/2 × 55/2

= 11/7 × 55/2 × 55/2

= 33275/28

To find the 90% confidence interval, using the following formula: Confidence interval = sample mean ± Z* (standard error)`where `standard error = (population standard deviation / √n)`n is the sample size Z is the Z-score at the 90% confidence level which is 1.645When we substitute the values in the formula, we get:
Confidence interval = 56 ± 1.645(13.3 / √36)
                       = 56 ± 4.54
                       = (51.46, 60.54)
Hence, the 90% confidence interval for the true population mean watermelon weight is (51.46, 60.54) ounces.

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There are no values of $b$ for which the base-$b$-representation of $2013$ ends in the digit $3$. For a number to end in the digit $3$ in base-$b$ representation, it must be congruent to $3$ modulo $b$.

We can rewrite $2013$ as $2 \cdot 10^3 + 0 \cdot 10^2 + 1 \cdot 10^1 + 3 \cdot 10^0$. Now, if $2013$ is congruent to $3$ modulo $b$, it means that $2 \cdot 10^3 + 0 \cdot 10^2 + 1 \cdot 10^1 + 3 \cdot 10^0$ is also congruent to $3$ modulo $b$.

Simplifying the expression, we have $2000 + 0 + 10 + 3$. Since the base-$b$-representation is formed by multiplying each digit by the corresponding power of $b$, we can rewrite the expression as $2 \cdot b^3 + 1 \cdot b^1 + 3 \cdot b^0$. We can now observe that the constant term $3 \cdot b^0$ will always be congruent to $3$ modulo $b$. However, the other terms $2 \cdot b^3$ and $1 \cdot b^1$ will not be congruent to $3$ modulo $b$ for any positive value of $b$. Therefore, the base-$b$-representation of $2013$ cannot end in the digit $3$ for any value of $b$.

Hence, there are no values of $b$ for which the base-$b$-representation of $2013$ ends in the digit $3$.

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Answer:

f= h/G

Step-by-step explanation:

The question is asking you to solve for f, or derive an equation of f in terms of h and G. The simplest way to solve for f is to isolate it from other variables.

h=fG

Now divide both sides by G

h/G=f

And there you go you solved for f.

Answer:

7y^2

Step-by-step explanation:

Answer:

\(x=3c\sqrt{a} -b^2\)

Step-by-step explanation:

\(\sqrt{a} =\dfrac{x+b^2}{3c}\)

Multiply both sides by 3c:

\(\implies \sqrt{a} \cdot 3c=\dfrac{(x+b^2) \cdot 3c}{3c}\)

\(\implies 3c\sqrt{a} =x+b^2\)

Subtract \(b^2\) from both sides:

\(\implies 3c\sqrt{a} -b^2=x+b^2-b^2\)

\(\implies 3c\sqrt{a}-b^2=x\)

Switch sides:

\(\implies x=3c\sqrt{a} -b^2\)

The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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The next step Nolan should take is to find the average of the distances from the mean.

A measure of variance in a data set is the mean absolute deviation. We may determine how "spread out" the values in a data collection are by looking at the mean absolute deviation.

The steps to find mean absolute deviation are:

Hence, The next step Nolan should take is to find the average of the distances from the mean.

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Answer:

\(0.75 {ms}^{ - 2} \)

Step-by-step explanation:

\(acceleration = \frac{velocity}{time} \\ = \frac{15ms ^{ - 1} }{20s} \\ = \frac{3}{4} ms ^{ - 2} \\ = 0.75 {ms}^{ - 2} \)

\(\Large\rm{\underbrace{\green{ \: Acceleration \: = \: \ \frac{v}{t} \: }}}\)

\( \bf \large \implies \: Acceleration \: = \: \frac{15}{20} \\ \)

\(\bf \large \implies \: Acceleration \: = \: \cancel\frac{15 \: \small \: m /s }{20 \: s} \: = \: \frac{3}{4} \: m /s ^{ - 1} \\ \)

\(\bf \large \implies \: Acceleration \: = \: \cancel\frac{3}{4} \:m /s ^{ - 1} \: = \: 0.75 \: \: m /s ^{ - 1} \\ \)

\( \bf \large \implies \: \: Acceleration \: = \: 0.75 \: \: m /s ^{ - 1} \\ \)

Answer:

13 classes

Step-by-step explanation:

152 divided by 12 is 12.6666666667 so the remaining number of stundents would not be in a class.

But, we can make a class for that remaining students.

So the answer is 13.

I hope this helped ;)

Answer:

2. 13

Step-by-step explanation:

152 / 12 = 12 2/3

So you have 12 groups with the maximum of 12 students per class. Then there are still (152 - 144) = 8 students left... Obviously these 8 need to be placed in a class also.

The last class does not contain the maximum students (but just 8 I stead of 12), but it is counted as a class just the same.

The least number of classes is 13, which is answer 2.

The least-squares line predicts the healthy weight of the 15-week-old calves.

The least-squares line is a linear regression model that determines the best-fit line through a set of data points.

In this case, it is used to predict the healthy weight of the 15-week-old calves.

The line is based on a statistical analysis of historical data and aims to minimize the sum of the squared differences between the predicted and actual weights.

To calculate the predicted weight, we would need additional information such as the specific equation of the least-squares line and any relevant coefficients or parameters.

Using this equation, we can input the age of 15 weeks to obtain the estimated healthy weight.

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The actual sum is 1.1.

Sum of the given numbers (-2.678), 4.5, (-0.68)

The sum can be defined as the result or answer after adding two or more numbers or terms. Thus, the sum is a way of putting things together.

(-2.678) + 4.5 + (-0.68)

= -2.678 + 4.5 - 0.68

= 4.5 - 3.358

= 1.142

Nearest tenth:

since .1 is in the tenth place and 42 isn't greater than 50, the answer would be 1.1.

The actual sum is 1.1.

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Answer:

domain -3<x<6

range -2<y<7

it is a function

Answer:

Domain:{3,-3,0,-1,6}

Range:{7,5,4,5,-2}

Since there is one value of  y  for every value of  x , this relation is a function.

The relation is a function.

Step-by-step explanation:

The ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

To represent the gauge readings as rational numbers, we can express them as fractions with a common denominator.

Given readings:

25 psi pressure

13 psi vacuum

6.3 psi vacuum

7.8 psi vacuum

1.9 psi vacuum

2 psi pressure

7.8 psi pressure

Expressed as rational numbers with a common denominator:

25 psi = 25/1

13 psi = 13/1

6.3 psi = 63/10

7.8 psi = 78/10

1.9 psi = 19/10

2 psi = 2/1

7.8 psi = 78/10

Now, let's order these rational numbers from least to greatest:

1.9 psi = 19/10

6.3 psi = 63/10

7.8 psi = 78/10

7.8 psi = 78/10

13 psi = 13/1

25 psi = 25/1

2 psi = 2/1

Ordered from least to greatest:

19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1

Therefore, the ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

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a) The population of interest in the study is the 600 asthma patients aged 18-69 who rely on medication for asthma treatment.

b) The sample in this study is the 600 asthma patients aged 18-69 who rely on medication for asthma treatment.

c) Yes, the results can be generalized to the target population. Since the study randomly assigned participants to the Buteyko and non-Buteyko groups, and the sample consists of individuals who meet the specific criteria (asthma patients aged 18-69 relying on medication), the findings can be extrapolated to similar individuals within the target population.

d) Since this study is experimental, the findings can be used to establish causal relationships. The random assignment of participants to the Buteyko and non-Buteyko groups allows for comparisons between the two groups, enabling causal inferences about the effect of the Buteyko method on asthma symptoms and quality of life.

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As a result, the area of the surface formed by rotating the given curve about the x-axis throughout the period [9, 20] is 864π.

The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.

Here,

The area of the surface generated when a curve is revolved about an axis is known as the surface area of revolution and can be calculated using the formula:

A = 2π ∫ y dx

where y is the equation of the curve being revolved and the integral is taken over the interval [a,b] in which the curve is being revolved.

In this case, the curve is given by y = 8√x on the interval [9, 20]. So, the surface area of revolution is:

A = 2π ∫_9^20 8√x dx

This integral can be evaluated using substitution. Let u = √x, so that du = dx / 2√x and x = u^2. Then:

A = 2π ∫_3^4 8u * 2u du

= 2π * 8 * ∫_3^4 u^2 du

= 2π * 8 * [u^3/3]_3^4

= 2π * 8 * (64/3 - 27/3)

= 2π * 8 * (37/3)

= 864π

So, the area of the surface generated when the given curve is revolved about the x-axis over the interval [9, 20] is 864π.

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Answer:

n >= 1

Step-by-step explanation:

2(7n - 1) >= 3(5 - n)

use the distributive property

14n - 2 >= 15 - 3n

     +2       +2      

14n >= 17 - 3n

+3n          +3n

17n >= 17

n >= 1

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

Step-by-step explanation:

\(2(7n - 1) \geqslant 3(5 - n) \\ 14n - 2 \geqslant 15 - 3n \\ 14n + 3n \geqslant 17 \\ 17n \geqslant 17 \\ n \geqslant 1 \\ thank \: you\)

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Answer:

4 hours

Step-by-step explanation:

Because 12 by 8 =96$ and 16 by 6 is equal to 96 too

Answer:

x=6

Step-by-step explanation:

convert the mixed number to a improper fraction..then multiply both sides of the equation by 6...collect like terms..then divide both sides by 37..then you should get your answer...

The height of the box is decreasing at a rate of 2/45 cm/sec.

The volume of a box remains constant at 1100m³ but the area of the base is increasing at a rate of 10 m²/sec.

Since the base of the box is a square, let the sides of the box be a, a, and h. The area of the base can be written as,

A = a²

Differentiate the above equation with respect to t.

dA/dt = 2a(da/dt)

Substitute 10 for dA/dt and 15 for a, to find the rate of change of side of base.

10 = 2(15)(da/dt)

da/dt = 1/3

The volume of the box can be written as,

V = (a)(a)(h) = a²h

Differentiate the above equation with respect to t.

0 = 2a(da/dt) + a² (dh/dt)

dh/dt = -2/a (da/dt)

Substitute 15 for a and 1/3 for da/dt in the above equation, to find the rate of change of height of the box.

dh/dt = -2/15 (1/3)

         = -2/45

Thus, the height of the box is decreasing at a rate of 2/45 cm/sec.

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Answer:

answer is 10 ^ 10

Step-by-step explanation:

7.296 × 10² / 9.6 × 10^ -9

= 0.76 × 10^11

= 7.6 × 10^10

The linear function is 8.50x + 5.50 and a $5.50 delivery fee would be included in the price of each hoodie purchased.

Part 1

The linear function rule is used in cases with only one shipping charge.

= 8.50x + 5.50, where x is the number of sweatshirts and y is the total cost in dollars.

Part 2

The linear function rule would be y = 8.50x + 5.50x = 14x, where y is the total cost in dollars and x is the number of sweatshirts if the shipping fee is applied to each sweatshirt. This implies that the $5.50 delivery fee would be included in the price of each hoodie purchased.

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The answer is -13 and -15.

The value of \(3\) in the number will be \(0.03\) .

Value refers to the worth of each digit depending on where it lies in the number.

\(Value = Place Value \ *\ Face Value.\)

We have,

A number \(9.63\) .

So, to find the Value of \(3\) in it,

Now,

To get its value Multiplying the place value and face value of the the given digit,

I.e.

\(Value = Place Value \ *\ Face Value.\)

Value \(= 0.01*3\)

Value \(= 0.03\)

Hence, we can say that the value of \(3\) in the number will be \(0.03\) .

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Answer:

distance = 7.07 units

Step-by-step explanation:

x difference = 7

y difference = -1

using the Pythagorean theorem:

7² + -1² = d²

d² = 49 + 1 = 50

d = 7.07

Answer:

7.1

Step-by-step explanation:

distance between the x is 7 and y is 1

And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2

c=50

and take the square root, which is 7.071, rounds to 7.1