Find the equivalent expression using distributive property.

Answer:

  x²/2166784 +y²/2159989 = 1

Step-by-step explanation:

The relationship between the semi-axes and the eccentricity of an ellipse is ...

  e = √(1 -b²/a²)

In order to write the desired equation we need to find 'b' from 'e' and 'a'.

__

Squaring the equation for eccentricity gives ...

  e² = 1 -b²/a²

Solving for b², we have ...

  b²/a² = 1 -e²

  b² = a²(1 -e²)

Using the given values, we find ...

  b² = 1472²(1 -0.056²) = 2166784(0.996864) ≈ 2159989

The desired equation is ...

  x²/2166784 +y²/2159989 = 1

Answer:

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Answer:

Domain for n is All integers where n ≥ 1.

Step-by-step explanation:

In arithmetic sequence,

where a is first term.

d is common difference.

n is number of terms.

Now, in given sequence recursive formula for nth term in

the number of term is n and it belongs to natural number.

Hence, domain for n is All integers where n ≥ 1.

Have a wonderful day/night/afternoon and stay safe my friends

The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1

An equation is an expression that shows the relationship between two or more numbers and variables.

Since the curve crosses the y-axis at y = 1, hence it is a cosine graph. It has a maximum of 1 and a minimum of negative 1, therefore the amplitude is 1

Also, the angular frequency = 2π * 1/5π = 0.4

The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1

Find out more on equation at: https://brainly.com/question/2972832

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Answer:

C

Step-by-step explanation:

Edge 2022

Answer:

Graph D. is the correct graph.

Answer:

989

Step-by-step explanation:

The largest difference could be possible between Largest 3 digit number and smaller two digit number

I.e,

999-10=989

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \: - 6 - 5(6x - 4)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 6 - [(5 \cdot6x) - (5 \cdot4)][/tex]

[tex]\qquad \sf  \dashrightarrow \: - 6 - (30x - 20)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 6 -30x + 20[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 30x + 14[/tex]

I hope you understood the whole procedure ~

Answer:

The answer is 20

Step-by-step explanation:

Now, we know that their ages are consecutive integers.

Let their ages be (x), (x + 1), (x + 2) and (x + 3). Where, Mariana's age is x.

Here, The sum of their ages is 86.

(x) + (x + 1) + (x + 2) + (x + 3) = 86

x + x + 1 + x + 2 + x + 3 = 86

4x + 6 = 86

4x + 6 – 6 = 86 – 6

4x = 80

4x/4 = 80/4

x = 20

We assumed that Mariana's age is x and the value of x is 20.

Thus, The age of Mariana is 20.

Answer:

The teacher bought 113 crayons.

This is one of the many possible responses:

Different kinds of balls bounce to different heights when dropped on the same floor.

Sugar dissolves faster in hot milk than in cold milk.

Plants grow more slowly when they are not near a window.

Option A.

Hope it helps.

Answer:

A

Step-by-step explanation:

|5x+2|=8 this mean that:

5x+2=8 and 5x+2=-8

5x+2-2+8-2 and 5x+2-2=8-2

5x=6 and 5x=-10 then divided both sides by 5

x=6/5 and x=-2

Answer:

see below

Step-by-step explanation:

cicumference= 2*pi*r

=2*(22/7)*6

=(2*22*6)/7

=264/7

=37.71

When added together the 4 angles need to equal 360

x = 360 -66-95-114

X = 85

Answer:

This one is just 15+15+7+7 then divide by the preciptical

Step-by-step explanation:

add 15+15+7+7=44/2=22

Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

[tex]\frac{A}{P} = (1 + \frac{r}{n})^{nt}[/tex]

Taking logs on both sides

[tex]log(\frac{A}{P}) = log(1 + \frac{r}{n})^{nt}[/tex]

This gives

[tex]log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}[/tex]

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075

1 + r/n = 1+0.0075 = 1.0075

4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72

t = 72/4 = 18 years

go on desmos and see what the graph looks like

Using the binomial distribution, it is found that there is a 0.3154 = 31.54% probability that among the students in the sample at least 6 are female.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that among the students in the sample at least 6 are female is given by:

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{8,6}.(0.6)^{6}.(0.4)^{2} = 0.2090[/tex]

[tex]P(X = 7) = C_{8,7}.(0.6)^{7}.(0.4)^{1} = 0.0896[/tex]

[tex]P(X = 8) = C_{8,8}.(0.6)^{8}.(0.4)^{0} = 0.0168[/tex]

Then:

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) = 0.2090 + 0.0896 + 0.0168 = 0.3154[/tex]

0.3154 = 31.54% probability that among the students in the sample at least 6 are female.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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Answer:

only one.

We can construct onle one triangle with unique measurements.

Answer:

1 triangle can be constructed

Step-by-step explanation:

Answer:

x>4

Step-by-step explanation:

Answer:

x > 4

Step-by-step explanation:

1. 4x+3>3x+7

2. x>4

Answer:

the answer is 117

sorry if wrong but that is what I got

Step-by-step explanation:

[tex] = - 39 \div \frac{1}{ 3} \\ [/tex]

[tex] = - \frac{39}{1} \times \frac{3}{1} \\ [/tex]

[tex] = - \frac{117}{1} \\ [/tex]

[tex] = - 117 [/tex]

Answer:

13.05%

Step-by-step explanation:

[tex]\begin{aligned}\sf Percentage\:increase &= \sf\dfrac{final\:value-initial\:value}{initial\:value} \times 100\\\\& = \sf \dfrac{25507.59-22562.25}{22562.25} \times 100\\\\& = \sf \dfrac{2945.34}{22562.25} \times 100\\\\& = \sf 0.1305428315 \times 100\\\\& = \sf 13.05 \% \:(2\:dp)\end{aligned}[/tex]

Answer:

I have got the answer

Step-by-step explanation:

Let the roots of 2x² + 3x - 1 = 0 be a and

To find:

The quadratic equation whose roots are 3a

Solution:

See picture attahed

The rest of explanation is given in your previously asked question see there I have also answered it

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Brainly 505 Server Error

Answer:

1388.13

Step-by-step explanation:

So, the formula for a cylinder is V=pi x R^2 x H

We plug in what we know.

V=3.14x4^2x27.63

V=3.14x16x27.63

V=50.24x27.63

V=1388.13

Divide total yellow by its ratio portion.

20/5 = 4

multiply that by the portion for red:

3 x 4 = 12

answer: 12 ounces

Answer:

If the safe dose is .5 to 1 mg/kg/dose, the safe limit depends on the side of the child.  Using the more conservative limit of .5mg/kg, you have 36mg(kg/.5mg)=72kg, which is roughly 160lbs,  Even with the upper limit of 1mg/kg, you still have 36mg(kg/1mg) = 36kg, or 80lbs, which is a larger child.  I would say this dose isn't "safe", but you really need the weight of the child to calculate what is a safe dose.

Step-by-step explanation:

Answer:

The perimeter of the triangle is 11x+1

Answer:

1. x values

2. y values

hope it helps you:)

Answer:

xy represents the diameter of the circle