10. Write the equation of the conic section in standard form. 7x²-3y² +56x+30y+16=0

Step-by-step explanation:

3n - 1 > 8 or 4n + 3 < -1

3n > 9 or 4n < -4

n > 3 or n < -1

Solution set: (-∞, -1) U (3, ∞).

The value of the shaded area from the rectangle ACDE is approximately 52.124 square centimeters.

In this problem we must calculate the shaded area of the section within the rectangle ACDE, this can be found by the subtracting the area of the region ABDE, which is the combination of the areas of the right triangle ABE and the arc BDE, whose formulas are shown below:

Triangle ABE

S = (1 / 2) · AB · AE

Arc BDE

S = (1 / 2) · α · ED²

Where α is the central angle, in radians.

Rectangle ACDE

S = ED · AE

If we know that AE = 20 cm, ED = 28 cm, α = π / 4 and AB = 20 cm, then the area of the shaded area is:

S = (28 cm) · (20 cm) - (1 / 2) · (π / 4) · (28 cm)² - (1 / 2) · (20 cm) · (20 cm)

S ≈ 52.124 cm²

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Answer:14

Step-by-step explanation: so if you add 21 and 264 and 20 u would get 14 hehehehhehehe im da best your not :)

Answer:

it takes him 0.7

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

First you would have to make the denominators the same, and they have an lcd of 10. So multiply 2/5 by 2 which is 4/10

and then 1/2 by 5 to get 5/10

then add 4/10 and 5/10 together and you get 9/10

Answer:

10

Step-by-step explanation:

How many times less is 50 than 500?

500/50 = 10

Answer:the correct option is (OA is singular

Consider the given matrix. 5 A = [00]

  [00]To determine whether the matrix A is singular or not, we can follow the given steps below: 5 A = [00] => A = [00]/5 = [0 0]
                                                                                                             

 [0 0]Here, we can see that the matrix A has only zeros, and thus it is singular. Because the determinant of the matrix is zero, and a matrix with determinant zero is known as a singular matrix.If a matrix is singular, then it does not have an inverse matrix. Therefore, the inverse of A does not exist.Thus, the correct description of the matrix A is that it is singular and does not have an inverse matrix. A matrix is said to be nonsingular if and only if it has an inverse matrix.Suppose, A is a square matrix of order n. If the determinant of matrix A is not zero, then the matrix A is said to be nonsingular. Otherwise, if the determinant of matrix A is zero, then the matrix A is said to be singular.To summarize, the matrix A is singular, and its inverse matrix does not exist because the matrix A has only zero entries. Hence, the correct option is (OA is singular. That is, its inverse doesn't exist).

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Answer:

It should be -1

Step-by-step explanation:

Since y=f(x) and f(x)=2, then you're y=2. So you just have to find (?,2).

The difference is quite small, the effect was statistically significant. the explanation is that the sample size is very large.

As per the given data:

An engineer designs an improved light bulb.

The previous design had an average lifetime of 1200 hours.

The new bulb had a lifetime of 1201 hours, using a sample of 2000 bulbs.

Let us assume the null and alternative hypothesis

Null: The average lifespan of old and new designs is the same.

Alternative: The lifespans of new and ancient designs differ.

Because of the huge sample size, the p-value is lower. Reject the null hypothesis as a result, and the effect is now considered statistically significant.

Although the difference between 1200 hours and 1201 hours is quite tiny, the effect was statistically significant because of the high sample size.

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An engineer designs an improved light bulb. The previous design had an average lifetime of 1200 hours. The new bulb has a lifetime of 1201 hours, using a sample of 2000 bulbs. Although the difference is quite small, the effect is statistically significant. The explanation is:

(a) that new designs typically have more variability than standard designs.

(b) that the sample size is very large.

(c) that the mean of 1200 is large.

(d) all of the above.

The correct answer is: A. At the 0.10 level of significance there is enough evidence to reject the research center's claim that 63% of U.S. adults support more surveillance cameras in public places.

To test whether the research center's claim is supported by the sample data, we need to perform a hypothesis test.

The null hypothesis is that the true proportion of U.S. adults who support using more surveillance cameras in public places is equal to 63%, i.e. H0: p = 0.63. The alternative hypothesis is that the true proportion is different from 63%, i.e. H1: p ≠ 0.63.

We can use the normal approximation to the binomial distribution to calculate the test statistic:

z = (p - p) / sqrt(p(1-p)/n)

where p is the sample proportion, p is the hypothesized proportion, and n is the sample size.

Plugging in the values, we get:

p = 210/300 = 0.7

p = 0.63

n = 300

z = (0.7 - 0.63) / sqrt(0.63*0.37/300)

= 2.24 (rounded to two decimal places)

Using a standard normal distribution table or calculator, we find that the p-value for a two-tailed test at the 0.10 level of significance is approximately 0.025 (rounded to three decimal places). Since this p-value is less than 0.10, we reject the null hypothesis.

Therefore, the correct answer is: A. At the 0.10 level of significance there is enough evidence to reject the research center's claim that 63% of U.S. adults support more surveillance cameras in public places.

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Answer:

B

Step-by-step explanation:

Apply Trignometric ratio

\( \cos(x) = \frac{adj \: side}{hypotenuse} \\ \cos(x) = \frac{8}{21} \\ x = \cos { }^{ - 1} ( \frac{8}{21} ) \\ x = 67.6\)

The critical value (t₍₃₀,₀.₀₅₎) for a 95% confidence interval, based on a random sample of 30 observations, is t₍₃₀,₀.₀₅₎ = 2.042.

To determine the critical value, we refer to the t-table with degrees of freedom (df) equal to n - 1, where n represents the sample size. In this case, the sample size is 30, so the degrees of freedom is 30 - 1 = 29.

For a 95% confidence interval, we need to consider the two-tailed critical region. Since the area in each tail is 0.025 (0.05/2), we look for the corresponding value in the t-table at a significance level of α/2 = 0.025 for df = 29.

The closest value to 0.025 in the table is 2.042.

Therefore, the critical value (t₍₃₀,₀.₀₅₎) for a 95% confidence interval based on a random sample of 30 observations is t₍₃₀,₀.₀₅₎ = 2.042.

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Answer:

306m

Step-by-step explanation:

someone else asked the same question here! https://brainly.com/question/30091724

there are better explainations there :)

you're looking for the perimeter, so you need to add all the sides. that's 55+55+98+98, which is 306.

Answer:

20

Step-by-step explanation:

Answer:5m/2

Step-by-step explanation:

3m-m/2

(2×3m-1×m)/2

(6m-m)/2=5m/2

Answer:

A

Step-by-step explanation:

when u see all the numbers after the point they all are not equal to or > 5 so we don't add any number.

Each friend pay the bill 7.9133(approx.)

Given,

The expression is given :

(1.75+5.95)+(2.25+4.75)+(1.09+7.95) / 3

Three friends ate lunch at a restaurant and divided the bill equally.

Now, According to the question:

The expression is :

(1.75+5.95)+(2.25+4.75)+(1.09+7.95) / 3

Calculate the sum or difference

=(7.7 + 7 + 9.04 )/ 3

=23.74 / 3

= 7.9133 (approx.)

Hence, Each friend pay the bill 7.9133(approx.)

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The cesarean delivery rate in 2001 was x per 100 live births, and the delivery rate in 2005 was y per 100 live births.

The cesarean delivery rate is a measure of the number of cesarean births for every 100 live births. In 2001, the cesarean delivery rate was x per 100 live births. This rate increased 27.5% between 2001 and 2006, so the delivery rate in 2006 was 31.1 per 100 live births. To calculate the delivery rate in 2005, we can use a simple percentage calculation. Since the delivery rate increased by 2.6% between 2005 and 2006, we can calculate the rate in 2005 by subtracting 2.6% from 31.1. This gives us an cesarean delivery rate of y per 100 live births in 2005. Thus, the cesarean delivery rate in 2001 was x per 100 live births, and the delivery rate in 2005 was y per 100 live births.

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By using  sum , difference , product , quotient and one that involves at least two operations that have the value of -3/4.

Now, We have to find the five expressions :

Expression for sum is -

1/4 + (-1) = -3/4

Expression for difference is -

(1/4 - 1) = -3/4

Expression for product is -

(-3/2)(1/2) = -3/4

Expression for quotient is -

(1 - 4)/4 = -3/4

Expression that involves at least two operations is -

-(1/4 + 2/4) = -3/4

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Answer:

t-17

Step-by-step explanation:

Answer:

acute angle

Step-by-step explanation:

The acute angle is the angle that has an amplitude of less than 90°. The obtuse angle, on the other hand, has a width greater than 90°. The right angle measures 90° and its sides are orthogonal.

Answer:

an angle less than 90° is an acute angle

Step-by-step explanation:

an angle less than 90° is an acute angle

an angle equal to 90° is a right angle

an angle greater than 90° but less than 180° is an obtuse angle

an angle greater than 180° is a reflex angle

Answer:

12.7

Step-by-step explanation:

9^2+9^2=162

square root of 162 equals roughly 12.7

Use the pythagorean theorem

Answer:

your correct it is c

Step-by-step explanation:

Answer:

yes answer is c

count the blocks and you will get it :)

Answer:

7donuts

Step-by-step explanation:

a dozen is 12 items

he stopped time and made 5 which means 7are left

7+5=12

Answer:

The formula for compound interest is A = P(1 + r/n)^(nt), where A is the final amount, P is the initial principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, P = $100, r = 9% = 0.09, n = 1 (compounded annually), and t = 16. We want to find A.

A = 100(1 + 0.09/1)^(1*16)

A = $397.42

Therefore, Javae will have $397.42 in his account on his 30th birthday. The answer is option D.

Answer:

$23

Step-by-step explanation:

First, we find what is 15% of $20.

0.15 times 20 is 3. Therefore, we know there was a markup of $3.

Then, we add the mark-up to the cost to store, and get $23.

So, the selling price is $23.

The point that Sam's house is located is at (2.5, -2)

The formula for calculating the midpoint of coordinate is expressed as:

M(x, y) = {(x₁+x₂)/2, (y₁+y₂)/2}

Given the coordinate between their locations at (-4, 4) and (-9, 8)

Determine the midpoint

x = (-4+9)/2

x =5/2 = 2.5

Similarly

y = 4-8/2

y = -4/2

y = -2

Hence the point that Sam's house is located is at (2.5, -2)

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Answer:

Step-by-step explanation:

shop a=115p

shop b=106p

shop b better value as its cheaper