Find the center, foci, vertices, and eccentricity of the ellipse. (x-2)^2/25 + (y+1)^2/9 - 1

Answer:

6.3g + 14

Step-by-step explanation:

The product of 6.3 and g:

6.3*g = 6.3g

The product of 6.3 and g increased by 14

⇒ 6.3g increased by 14

6.3g + 14

Answer:

A ≈ 28.5

Step-by-step explanation:

a, b, c

P = a + b + c

Semiperimeter s = \(\frac{a+b+c}{2}\)

A = \(\sqrt{s(s-a)(s-b)(s-c)}\)

~~~~~~~~~~~~~~~

\(P_{ABC}\) = 4.3 + 2.89 + 6.81 = 14

s = 14 ÷ 2 = 7

\(A_{ABC}\) = \(\sqrt{7(7-4.3)(7-2.89)(7-6.81)}\) = √14.75901 ≈ 3.84

\(P_{BCD}\) = 8.59 + 7.58 + 6.81 = 22.98

s = 22.98 ÷ 2 = 11.49

\(A_{BCD}\) = \(\sqrt{11.49(11.49-8.59)(11.49-7.58)(11.49-6.81)}\) = √609.7343148 ≈ 24.6928

\(A_{ABCD}\) = 3.84 + 24.6928 ≈ 28.5

Answer:

13

Explanation:

given 7 - 2x

if x=-3

7-2(-3) = 7+6 = 13

Answer:

Step-by-step explanation:

when x = - 3

7 - 2x

= 7 - 2 *( - 3)

= 7 + 6

= 13

Direct labor efficiency variance = $6,100 F.

Given that

Standard labor-hours per unit of output     8.5 hours

Standard labor rate                                     $12.30 per hour

Standard labor hours allowed                          6,800 hours (800 units *                                         8.5 hours allowed)

The following data pertain to operations concerning the product for the last month:

Actual hours worked  6,300 hours

Actual total labor cost  $74,970

Actual output                  800 units

We can determine the labor efficiency variance using the following equation:

1. Direct labor efficiency variance = (Standard hours allowed - Actual labor hours) * Standard rate

2. Direct labor efficiency variance = (6,800 hours - 6,300 hours) * $12.20

3. Direct labor efficiency variance = $6,100 F

The variance is favorable as the actual labor hours used are less than the standard hours allowed.

Hence the answer is Direct labor efficiency variance = $6,100 F.

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Answer: 10^4

Step-by-step explanation:

You can multiply the exponents to get 10^4.

Answer:

A 9/10

Step-by-step explanation:

6% is 0.06 so you do 0.6 times 15 so in decimal form it is 0.9=9/10

Answer:

9\10

I tried 9\10 and it was correct! :)

One possible three-dimensional figure that fits this description is a rectangular prism. Another possible option is a cylinder. A third option is a pyramid with a square base.

Based on your question, the three-dimensional figure could be one of the following three options:

1. Cone: If two cross sections are taken parallel to the base, they will both be circles but with different radii, making them similar but not congruent.

2. Pyramid: If two cross sections are taken parallel to the base, they will both be the same shape as the base (e.g., triangles, squares) but with different side lengths, making them similar but not congruent.

3. Frustum: A frustum is a section of a cone or pyramid with the top cut off parallel to the base. The two cross sections taken parallel to the base would be the same shape but with different dimensions, making them similar but not congruent.

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The restriction will be f-¹(x) range: y ≥ 0

Domain of a function:

The domain of a function refers to the set of all possible inputs for the function. For example, we get that the domain of f(x) = x² is all real numbers, and the domain of g (x) = 1 / x is all real numbers except for x = 0( as it will make the function indefinite.) Some special functions can also be defined whose domain are limited.

Range of a function:

The range of a function refers to the complete set of all possible resulting values of the dependent variable, after we have substituted the domain.

So, the restriction will be f-¹(x) range: y ≥ 0 as x² will always be positive.

Therefore, the restriction will be f-¹(x) range: y ≥ 0.

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The area of the concave hexagon AOBCPD is 36 square units.

The concave hexagon AOBCPD is formed by two externally tangent circles with centers O and P and radii 2 and 4, respectively. Points A and B are on the circle with center O, and points C and D are on the circle with center P. Lines AD and BC are common external tangents to the circles.

To find the area of the hexagon, we can divide it into two trapezoids: AOCP and BOCD. In each trapezoid, the shorter base is a radius of the smaller circle (2 units) and the longer base is a radius of the larger circle (4 units). Since AD and BC are tangent to the circles, they are perpendicular to the radii at the points of tangency, forming right angles. This means the height of each trapezoid is the same, and it is the distance between the centers O and P (6 units).

Let's use the formula for the area of a trapezoid: (1/2)(sum of parallel sides)(height). For trapezoid AOCP: (1/2)(2+4)(6) = 18 square units. For trapezoid BOCD: (1/2)(2+4)(6) = 18 square units. The total area of hexagon AOBCPD is the sum of the areas of the two trapezoids: 18 + 18 = 36 square units. Therefore, the area of the concave hexagon AOBCPD is 36 square units.

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Answer:

-20

Step-by-step explanation:

He went back 20 and not forward 20.  Everyone would want a penalty if you got to go forward.

3birds would have=2(3)=6legs

Cats have:-

Each cat has 4legs.

Total cats:-

\(\\ \sf\longmapsto \dfrac{24}{4}=6cats\)

The apothem is the vocabulary for a. The regular polygon's area is 319.8 cm².

We may use the following formula to calculate the area of the polygon:

Area = (1/2) × Perimeter × Apothem

The perimeter of a polygon is calculated by multiplying the number of sides by the length of each side, as shown below:

Perimeter = the number of sides multiplied by the length of each side

Perimeter = 6 × 14 cm (because to the regular hexagon shape)

Perimeter = 84 cm

Use the fact that it forms a right triangle with half of one side length and the apothem as the legs and the apothem as the hypotenuse to find the apothem. Thus,

a² = s² - (s/2)²

a² = 196 - 49

a² = 147

a = √(147) = 7.65 cm

Now we can enter our values into the area formula:

Area = (1/2) × Perimeter × Apothem

Area = (1/2) × 84 cm × 7.65 cm

Area = 319.8 cm²

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The study would use a simple random sampling because it would be easy to randomly select. The study would use cluster sampling because the of fall into naturally occurring subgroups. The study would use stratified sampling because it would be important to have members from each segment of the population.

The study is a sample survey, because the population is for it to be practical to record all of the responses.

a. The study would use a simple random sampling because it would be easy to randomly select members of the population. Simple random sampling is a type of probability sampling that is used when the population is homogenous and every member has an equal chance of being selected for the sample.

b. The study would use cluster sampling because the members of the population fall into naturally occurring subgroups. Cluster sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into naturally occurring subgroups.

c. The study would use stratified sampling because it would be important to have members from each segment of the population. Stratified sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into segments or strata based on certain characteristics.

d. The study is a sample survey, because the population is too large for it to be practical to record all of the responses. Sample survey is a type of survey that collects data from a sample of the population, rather than the entire population. This is often done when the population is too large or when it is not practical to survey the entire population.

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The margin of error of a confidence interval increases as:
c) the population standard deviation increases.



The margin of error (MOE) is influenced by three factors: the confidence level, the population standard deviation, and the sample size.

1. Confidence level: As the confidence level increases, the margin of error also increases because a higher confidence level requires a wider interval to ensure that the true population parameter is captured.
2. Standard deviation: As the population standard deviation increases, the margin of error also increases. A higher standard deviation indicates more variability in the population, leading to a wider confidence interval to account for this variability.
3. Sample size: As the sample size increases, the margin of error actually decreases because a larger sample provides more accurate estimates of the population parameter.

Therefore, among the given options, the margin of error of a confidence interval increases as the population standard deviation increases (option c).

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Answer:

(4a - 5)(4a + 5)

Step-by-step explanation:

Assuming you require to factor the expression

Given

16a² - 25 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

16a² - 25

= (4a)² - 5²

= (4a - 5)(4a + 5) ← in factored form

Answer100 POINTS! (50 split up) PLSSSSSTO GIVE BRAINLIEST AND FIVE STARS AND A THANKS! 6TH GRADE SCIENCE! i used all my points for this!

You measure the mass of an apple using a balance.

Step-by-step explanation:

let the cost be y

and the number of months be x

given that the cost is modeled as

y= 15x+25

we can solve for the charges after a series of months

say we want to calculate the charges for 5 month, we then have to put x=5 in the expression

y=15x+25.

y= 15(5)+25

y= 75+25

y=100

the charges for 5 months is $100

you can estimate for any number of months just put the number of months for x  

We have sufficient evidence to conclude that the mean is less than 126 at the 1% level of significance.

The null hypothesis is that the mean is equal to 126.

H0: μ = 126

The alternative hypothesis is that the mean is less than 126.

Ha: μ < 126

We will use a one-tailed t-test for this problem, with a significance level of 0.01 and 100 degrees of freedom (n-1).

a) State the hypotheses.

H0: μ = 126

Ha: μ < 126

b) Calculate the test statistic.

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the values given, we get:

t = (120.96 - 126) / (21.42 / √101) = -2.96

c) State the rejection criterion for the null hypothesis.

We will reject the null hypothesis if the test statistic is less than the critical value from the t-distribution with 100 degrees of freedom and a one-tailed test at a significance level of 0.01.

Using a t-table or a calculator, we find the critical value to be -2.364.

d) Draw your conclusion.

Since our test statistic (-2.96) is less than the critical value (-2.364), we reject the null hypothesis. We have sufficient evidence to conclude that the mean is less than 126 at the 1% level of significance.

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Answer:

8:35 PM

Step-by-step explanation:

First, subtract 15 from 50.

50-15=35

Add that 15 taken from 50 to 7:45.

7:45 + 0:15 = 8:00

Add 35 to 8:00

8:00 + 0:35 = 8:35

The next movie will start at 8:35 PM.

Hope this helps!

An equation in slope-intercept form of the data in the table is y = -3x - 7.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

Based on the information provided, we can logically deduce the following data points on the line:

At point (-4, 5), a linear equation of this line can be calculated in slope-intercept form as follows:

y - 5 = (-1 - 5)/(-2 + 4)(x + 4)

y - 5 = -3(x + 4)

y = -3x + 5 - 12

y = -3x - 7

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Answer:

-1

Step-by-step explanation:

4-3/1-2=slope

1/-1

-1

Answer:

1. 4x3<7×3

12×2<21×2

24×4<42×4

96×9<168×9

864<1512

2. 11+3>-2+3

14+3>1+3

17_4>4-4

13>0

3. -2/leg-2

-18/leg-18

4. -4<8

0<2

You need to include an image or the measurements. No one can give you the answer without those numbers.

The volume of a right-circular cone of base radius 7cm and height 24cm is 1232 cm³.

An object or substance's volume is the amount of space it takes up. The capacity of a container is typically understood to be equal to its volume rather than the amount of space it occupies. The SI unit for volume is the cubic metre (m³).

Given that radius r = 7

height h = 24

The volume formula of a right-circular cone is

V = 1/3hπr²

Putting the values, we get

\($\text V = \frac{1}{3} \times 24 \times \frac{22}{7} \times 7 \times 7\)

V = 1232 cm³

Thus, The volume of a right-circular cone of base radius 7 and height 24 is 1232 cm³.

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Complete question:

Find the volume of a right-circular cone of base radius r and height h, from the figure given below.

Answer:

The northern Georgia study with a margin of error of 1.7%.

All else being equal, the study with the larger sample size has the smaller margin of error. So the result makes sense (as 0.84 is pretty close to 0.75)

Step-by-step explanation:

The best and most correct answer among the choices provided by the question is the third choice "The northern Georgia study with a margin of error of 1.7%."

All else being equal, the study with the larger sample size has the smaller margin of error. So the result makes sense (as 0.84 is pretty close to 0.75)

( − 5 ) ( + 5 ) ( 2 + 2 5 )

The system of equations' representational matrix is,

\(\left[\begin{array}{ccc}0&1&5\\4&0&3\\\end{array}\right]\). Hence option B is true.

Used the concept of the system of equations that states,

Equations that are dealt with all at once as a "system" are a set or group of equations.

Given that the system of equations is,

\(y = 5\)

\(4x = 3\)

It can be written as,

\(y = 5\)

\(0x + 1y = 5\)

So the first row contains the elements 0, 1, and 5.

\(4x = 3\)

\(4x + 0y= 3\)

So the second row contains the elements 4, 0, and 3.

Hence the matrix that represents the system of equations is,

\(\left[\begin{array}{ccc}0&1&5\\4&0&3\\\end{array}\right]\)

Therefore the correct option is B.

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Answer:

Simplify the expression.

3x2/2

hope this makes sense lol

Step-by-step explanation:

Answer:

1.5 : 1 (or) 3/2

Step-by-step explanation:

Given expression,

→ 3x/2x

Let's simplify the expression,

→ 3x/2x

→ (3 ÷ 2)(x ÷ x)

→ (1.5)(1)

→ 1.5

Now the required ratio will be,

→ 3 : 2

→ 1.5 : 1

Hence, required ratio is 1.5 : 1.

Answer:

its hard to understand sorry

Answer:

B. The slope of g(x) is less than the slope of f(x)

Step-by-step explanation:

The slope of f(x) is 2/1 or just 2 and the slope of g(x) is 1/2, less than f(x).

Answer:

B.

Step-by-step explanation: