Which statements about the ellipse are true? Check all that apply.

The center is located at (2, –1).

The major axis is 8 units long.

The minor axis is 3 units long.

The vertices are 4 units above and below the center.

The foci are √ 7 units above and below the center.

The foci are located along a horizontal line.

Answer:

x < 37/4

Step-by-step explanation:

−4x+35>2

Subtract 35 from each side

−4x+35-35>2-35

-4x > -37

Divide each side by -4. remembering to flip the inequality

-4x/-4 < -37/-4

x < 37/4

Answer:

1/4 yards

Step-by-step explanation:

3/4 is the total. Divide the total by 3 to get the answer.

Answer:

The Pythagorean Theorem in a^2 + b ^2 = c^2

It is used to solve for one side of a right triangle (any triangle where one angle is 90 degrees). Most of the times it is used to solve for the hypotenuse, which is represented by c. A and B represent the other sides of the triangle.

The Pythagorean Theorem also states that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.

In other words, for the triangle shown below, a² + b² = c².

In the image below, I have drawn a triangle on my whiteboard.

In the triangle that is shown below, the legs, a and b, are the perpendicular sides of the right triangle and the hypotenuse, c, is the side opposite the right angle.

This only applies to right triangles!

You can use this theorem to find out if a triangle is an acute triangle, a right triangle, or even an obtuse triangle.

Answer:

The other guy is correct except for question five.

If your question is "Use summation notation to write the series 2+4+6+8+... for 10 terms. In each of these images, the lower limit of the summation notation is either "n=1" or "n=0".

The answer should be 10∑n=1 (2n) not (n+2)

The correct option is (C) it converges it has a sum.

An infinite geometric series is an infinite series whose successive terms have a common ratio. This is easily proven by using an infinite geometric series. This series would have no last term. The general form of the infinite geometric series is[tex]a + a r + a r^ 2 + a r ^3 +...[/tex]+ ..., where [tex]a[/tex] is the first term and [tex]r[/tex] is the common ratio.

We can find the sum of all finite geometric series.

Given series can be written as;

[tex]\frac{1}{5}+\frac{1}{10}+\frac{1}{20}+\frac{1}{40}+..... \\ a=\frac{1}{5} \\ r=\frac{1}{2} \\ \Rightarrow \frac{a}{1-r}=\frac{1/5}{1-1/2} \\[/tex]

           [tex]=\frac{2}{5}[/tex]

Therefore, [tex]\frac{2}{5}[/tex] is infinite, so it converges.

Learn more about the topic Infinite Geometric Series: https://brainly.com/question/12213123

(-7)² ➡️ 49

(⅔)² ➡️ ⁴/6

- /100 ➡️ -10

/.81 ➡️ .9

Answer:63

Step-by-step explanation:

[tex]5 \frac{2}{3} + 2 \frac{1}{5} = 7 \frac{13}{15} [/tex]

Step-by-step explanation:

[tex]5 \frac{2}{3} + 2 \frac{1}{5} \\ = \frac{17}{3} + \frac{11}{5} \\ = \frac{17 \times 5}{3 \times 5} + \frac{11 \times 3}{5 \times 3} \\ = \frac{85}{15} + \frac{33}{15} \\ = \frac{118}{15} \\ = 7 \frac{13}{15} [/tex]

So, the value is 7 13/15

Hope it helpful and useful :)

Answer: The answer is 7 13/15 in fraction

Step-by-step explanation:

Answer:

C. 120 Votes

Step-by-step explanation:

14/21 will get you 66.6. Taking that number and multiplying it by the 180 total students will end you with 120 which is your answer.

Answer:

Step-by-step explanation:

The problem is about meters and seconds, because the graph shows the relation of the distance and the time used by an object.

It's important to know that the time doesn't depends on anything, that means, it's always an independent variable. And the distance always depends on the time, because depending on the time you are moving, you will cover more distance.

Therefore, the answers are:

Answer:

B) The two variables are meters and seconds.

D) Meters are graphed on the y-axis.

E) Seconds is the independent variable.

Step-by-step explanation:

Answer:

After 4 years she will have $1760.67 in her account.

Step-by-step explanation:

Jasmine invested initial amount = $1500

Rate of interest = 4% compounded continuously

Duration of investment = 4 years

Formula to calculate the final amount when compounded continuously is,

[tex]P(t)=Ie^{rt}[/tex]

where I = Initial amount

r = rate of interest

t = duration of investment

P(t) = Final amount

[tex]P(4)=1500e^{0.04(4)}[/tex]

        = [tex]1500e^{0.16}[/tex]

        = 1760.266

        ≈ $1760.27

Therefore, after 4 years she will have $1760.67 in her account.

Final answer:

To calculate the amount of money Jasmine will have in 4 years with a 4% continuous interest rate, use the formula A = P * e^(rt), where A is the final amount, P is the principal, e is Euler's number, r is the interest rate, and t is the time in years. Evaluating the expression, the result is approximately $1657.29.

Explanation:

To calculate the amount of money Jasmine will have in 4 years, we can use the formula for compound interest. The formula is: A = P * e^(rt), where A is the final amount, P is the principal (initial investment), e is Euler's number (approximately 2.718), r is the interest rate, and t is the time in years. In this case, Jasmine invests $1500 at an interest rate of 4% compounded continuously, so we have A = 1500 * e^(0.04*4). Evaluating this expression, we find that Jasmine will have approximately $1657.29 in 4 years.

Answer: Bar graphs, pie charts or circle graphs

Step-by-step explanation: for it right

Pie charts or circle graphs and bar charts are the most appropriate displaying for categorical variables.

A graph is used to provide a pictorial representation or diagram so as to represents data in an orderly way. Examples of graphs are histogram, box plot, pie chart, dot plot.

Pie charts or circle graphs and bar charts are the most appropriate displaying for categorical variables.

Find out more on graph at: brainly.com/question/14323743

Answer:

The superlative degree compares more than two things to show which has the least or greatest degree of the quality.comparative degree is  used when just comparing two things.

Step-by-step explanation:

Final answer:

The comparative degree is used to compare two items, while the superlative degree is used to compare three or more. Comparatives typically end in -er, while superlatives end in -est, except in cases of adjectives with more syllables where 'more' and 'most' are used respectively. Absolute adjectives generally do not have comparative or superlative forms.

Explanation:

Difference Between the Comparative and Superlative Degree

The comparative and superlative degrees are used to make comparisons between nouns based on some attributes described by adjectives or adverbs. The comparative degree is used when comparing two items, while the superlative degree is used when comparing three or more items. Comparative adjectives often end in -er, and superlative adjectives often end in -est. For example, the adjective 'hot' becomes 'hotter' in the comparative form and 'hottest' in the superlative form.

For adjectives of three or more syllables, and some two-syllable adjectives, the comparative is formed by adding the word 'more' before the adjective, and the superlative is formed with 'most'. For instance, 'famous' becomes 'more famous' and 'most famous' in comparative and superlative forms respectively. Some adjectives and adverbs are irregular and do not follow these standard patterns of formation. Furthermore, adjectives that describe absolute qualities, such as 'dead' or 'pregnant', typically do not have comparative or superlative forms.

It is important to never use both types of comparison for the same adjective, as in 'most hardest'. The correct form would be 'hardest', without the 'most'. Also, it's useful to know that adjectives imply a scale of degrees, and comparative forms indicate one item's position on that scale in relation to another, while superlatives indicate the extreme ends of that scale.

Answer:

60

Step-by-step explanation:

v = 2.5 or 5/2

3 + 2 x - 1/4 = 5/2

5/2 = 2.5

look at the attached picture ⤴

Hope it will help u...

Answer:

5

Step-by-step explanation:

Since we know that c is equal to 7, we can substitute 7 in for c in the expression

c-2

Substitute 7 in for c, because c=7

7-2

Subtract

5

Answer:the correct answer is 7

Step-by-step explanation:

Answer:

1/8

Step-by-step explain i think it;s your answer

Answer:

24

Step-by-step explanation:

3/4 chance of rain for saturday

Answer:

3/4 chance of rain for saturday

Step-by-step explanation:

Answer:

x = 100

Step-by-step explanation:

[tex]57 \degree + (x + 23) \degree = 180 \degree..(straight \: line \: \angle s) \\ (x + 80) \degree = 180 \degree \\ x + 80 = 180 \\ x = 180 - 80 \\ \huge \red{ \boxed{x = 100}}[/tex]

Answer:

x = 100°

Step-by-step explanation:

57° + 23° = 80°

180° - 80° = 100°

look at my previous answer to another person who posted this same question if you want a more detailed version

Answer:

5

Step-by-step explanation:

Arc length = r × theta

15 = 3 × theta

theta = 15/3

theta = 5 radians

5

Answer:

Step-by-step explanation:

Answer:

32.49

Step-by-step explanation:

The weight of the person on the moon is 33.2775 pounds.

Given that, if you were on the moon, your weight would only be 0.17 of your weight on Earth.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, weight on earth is 195.75 pounds

Now, weight on the moon

= 0.17×195.75

= 33.2775 pounds

Hence, the weight of the person on the moon is 33.2775 pounds.

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#SPJ5

Answer:

LINEAR function  constant slope = 2

Step-by-step explanation:

We see points  (-3, -11),  (-2, -9),  (-1, -7),  (1, -3) , (2, -1)

slope:   m = (-9 - -11)/(-2 - -3) = 2/1

m = (-7 - -9)/(-1 - -2) = 2/1

m = (-3 - - 7)/(1 - -1) = 4/2 = 2

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

Answer: 45°

Step-by-step explanation:

Diameter= 16m

Radius= 16/2 = 8m

The area of the circle= πr^2

= π8^2

= 64π square metres.

An area of 8π square metres is also 1/8 of the total area, therefore the arc must be 1/8 of the circumference.

The circumference = 2πr = 16π,

This gives us an arc length of 2π metres.

But since we are looking for the the angle.

In degrees: 360/8 = 45°

The angle of the sector is 45 degrees.

To understand the calculations, check below

The radius of circle is [tex]\frac{16}{2} =8cm[/tex]

The area of circle is,

                 [tex]Area=\pi*8^{2} \\\\Area=64 \pi[/tex]

Area of sector [tex]=8\pi[/tex]

Angle of sector,

                       [tex]=\frac{8\pi}{64\pi} *360\\\\=\frac{360}{8}=45 degrees[/tex]

The angle of sector is 45 degrees.

Learn more about the sector angle here:

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Step-by-step explanation:

A = ( 1 3 5 7) B = (2 3 5 7) C = (4 6)

U = ( 1 2 3 4 5 6 7)

20 x + 15 = 10

20 x = - 5

x = -5/20 = -1/4

Answer: -1/4

5x - 5 = 15

5x = 20

x = 20/5 = 4

Answer: 4

n + 14 = 72

Answer: 14 + n = 72, first choice

Mutiply that by the sides

Answer:

is it 10 cents lesser

Step-by-step explanation:

Answer:

[tex]\huge\boxed{C.\ f(x)=(x-6)(x+4)}[/tex]

Step-by-step explanation:

[tex]\text{If}\ x_1\ \text{and}\ x_2\ \text{are the zeros of quadratic function}\ f(x)=ax^2+bx+c,\\\\\text{then we can convert}\ f(x)\ \text{to the form}\ f(x)=a(x-x_1)(x-x_2).\\\\\text{We have the zeros}\ x_1=6\ \text{and}\ x_2=-4.\\\\\text{Substitute:}\\\\f(x)=a(x-6)(x-(-4))=a(x-6)(x+4)\\\\\text{For}\ a=1\ \text{we have answer}\ C.\ f(x)=(x-6)(x+4)[/tex]

Domain of the function F(x) = log 0.3 x is :

All Real Numbers greater than zero.

So the right answer is :

D. All real numbers

Answer:All real numbers

Step-by-step explanation:

A

P

E

X