b) About how many times larger was the population of the United States than the population of Columbus, Ohio? Show your work! NEED ANSWER ASAP WILL DO BRAINLEIST AND ITS 30 POINTS!!!

1.4 I think I hope im right sorry If my not

And.......what........

Answer:

2i, -2i, -3, 3

Step-by-step explanation:

We can complete the square to factor but make x to the power of 2 since the variable x is squared in the function aswell

Factor

(\(x^{2}\) + 4)(\(x^{2}\) - 9)

Now we have two function we can set equal to 0

Find zeros

\(x^{2}\) + 4 = 0

\(x^{2}\) - 9 = 0

\(x^{2}\) = 9

\(x^{2}\) = -4

x = \(\sqrt{-4}\)

x = \(\sqrt{9}\)

±2i, ±3

Answer:

x = ± 3

Step-by-step explanation:

\(x {}^{4} - 5x {}^{2} - 36 = 0 \\ let \: x {}^{2} = y \: (subtitution) \\ (x {}^{2} ) {}^{2} - 5x {}^{2} - 36 = 0 \\ y {}^{2} - 5y - 36 = 0 \\ (y + 4)(y - 9) = 0 \\ y = - 4 \: \: \: \: \: \: \: \: \: \ \: y = 9 \\ (y = x {}^{2} ) \\ x {}^{2} = - 4 \: \: \: \: \: \: \: \: \: \: \: \: \: x {}^{2} = 9\)

We can't take the square root of a negative number so x² = -4 is rejected

\(x {}^{2} = 9 \\ x = \sqrt{9} = \binom{ + }{ - } 3\)

Therefore

x = 3

x = -3

well, clearly is 4 :).

now, if we take 25 to be the 100%, what is 4 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 25 & 100\\ 4& x \end{array} \implies \cfrac{25}{4}~~=~~\cfrac{100}{x} \implies 25x=400\implies x=\cfrac{400}{25}\implies x=16\)

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

It appears that angle AED measures 143 degrees. The measure of angle x is the same since it is vertical to angle AED. Vertical angles are congruent.

Answer:

625

Step-by-step explanation:

25x25 can be broken down into 20 x 25 and 5 x 25

20 x 25 is 10 x 25 x 2

10 x 25 is 250 and 250 times 2 is 500

25 x 5 is 125.

500+125 is 625.

Answer: 1kg = 1,000,000mg

Step-by-step explanation:

You know that 1kg = 1,000g

If you know that 1g = 1,000mg,

then it follows that 1,000g = 1,000,000mg

but since 1,000g = 1kg,

you can substitute: 1kg = 1,000,000mg

And theres your answer :)

FOR PERPENDICULAR LINES WHEN THEIR GRADIENTS ARE MULTIPLIED THEY GIVE -1

BUT IF WE ARE TO CHECK IN THE LJNE y=1 the gradient is 0

there is no number when multiplied with 0 that will give us -1 it means that the gradient of the line perpendicular to the given one will also be 0

when we substitute in the general equation y=mx+c together with the points

\( - 9 = (0)(4) + c \\ c = - 9\)

IT MEANS THE EQUATION OF THE NEW EQUATION WILL BE

\(y = - 9\)

HOPE THIS HELPS

Step-by-step explanation:

Domain of h(x) is

\(\Bbb{R}\backslash\{x=-3\}\)

or equivalently,

\((-\infty,-3)\cap(-3,+\infty)\)

since h(x) is undefined everywhere except when x=-3.

The range of f(x) is

\(\Bbb{R}\)

or equivalently,

\((-\infty,+\infty)\)

We know,

When two angles less than 90 is known as Scalene obtuse Triangle.

When two angles are equal is called Isosceles obtuse Triangle.

So, 40°, 100°, 40° is a scalene obtuse triangle.

and, 14°, 98°, 68° is a scalene obtuse triangle.

and, 38°, 38°, 104° is an isosceles obtuse triangle.

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Answer:

15 7/12

Step-by-step explanation:

Answer:

\(\sf 4\sqrt{5}+5\sqrt{2} \ units\)

Step-by-step explanation:

      First find the length of each side using distance formula. Then find the perimeter by adding all the sides.

        \(\boxed{\bf Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\)

  A(2 , 2) ⇒   x₁= 2 & y₁ = 2

  B(-4, -1) ⇒ x₂ = -4 & y₂ = -1

         \(\sf AB = \sqrt{(-4-2)^2+(-1-2)^2}\\\\ ~ ~ ~ \ = \sqrt{(-6)^2+(-3)^2} \\\\~~~ \ = \sqrt{36+9}\\\\~~~ \ = \sqrt{45}\\\\\)

             \(\sf = \sqrt{3*3*5}\\\\=3\sqrt{5} \ units\)

   B(-4, -1) ⇒ x₁ = -4 & y₁ = -1

     C(1, 4) ⇒ x₂ = 1 & y₂ = 4

                   \(\sf BC = \sqrt{(1-[-4])^2+(4-[-1])^2}\)

                        \(\sf = \sqrt{(1+4)^2+(4+1)^2}\\\\=\sqrt{(5)^2+(5)^2}\\\\=\sqrt{25+25}\\\\=\sqrt{50}\\\\=\sqrt{2*5*5}\\\\=5\sqrt{2}\)

 A(2 , 2) ⇒   x₁= 2 & y₁ = 2

C(1, 4) ⇒ x₂ = 1 & y₂ = 4

                      \(AC= \sqrt{(1-2)^2+(4-2)^2}\\\)

                             \(\sf =\sqrt{(-1)^2+(2)^2}\\\\=\sqrt{1+4}\\\\=\sqrt{5} \ units\)

\(\sf Perimeter = 3\sqrt{5}+5\sqrt{2}+\sqrt{5}\)

              \(\sf = \sqrt{5} (3+1) + 5\sqrt{2}\\\\=4\sqrt{5}+5\sqrt{2}\)

Answer:

Liam is correct and Tehya isn't

The probability that the series will end only after 7 games are played is 1.77

Here we have given that teams A and B play until one team has won 4 games.

And here we also know that the probability of winning for Team A is 2/3,

Then the probability of winning Team B is calculated as,

=> 1 - 2/3

=> 1/3

Then the probability that the series will end only after 7 games are played is calculated as,

=> P(X = 3) + P(X = 4)

When we apply the values on it, then we get

=> 4C3(2/3)(1/3) + 4C4(2/3)(1/3)

When we simplify this one then we get,

=> 1.77

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Given that the function f is twice differentiable for x = 0 and that f(1) = 15 and f''(1) = 20, we can draw certain conclusions about the behavior of the function near x = 1.

First, let's recall what it means for a function to be twice differentiable. This means that the function has two derivatives: the first derivative, which gives the slope of the tangent line at each point, and the second derivative, which gives the curvature of the graph at each point. When we say that f''(1) = 20, we are saying that the curvature of the graph at x = 1 is positive; in other words, the graph is bending upwards at that point.

To get a better idea of the behavior of the function, we can use the Taylor series expansion. This is a way to approximate the value of the function at a point using its derivatives. Specifically, the Taylor series expansion for a function f(x) centered at x = a is given by:
f(x) = f(a) + f'(a)(x-a) + (1/2)f''(a)(x-a)^2 + (1/6)f'''(a)(x-a)^3 + ...
For our function f(x), we know that f(1) = 15 and f''(1) = 20. So we can use the Taylor series expansion centered at x = 1 to get an approximation of the function near that point:

f(x) = 15 + f'(1)(x-1) + (1/2)(20)(x-1)2 +...

To find the value of f'(1), we can take the derivative of both sides of the equation:

f'(x) = f'(1) + 20(x-1) + ...

At x=1, this gives us:

f'(1) = f'(1) + 20(0) + ...

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Answer:

b

5

​

b

2

​

​

=

4

1

​

⇒

ar

4

ar

​

=

4

1

​

Where a is the first term & r is the common ratio.

⇒

r

3

1

​

=

4

1

​

⇒r

3

=4

⇒r=

3

4

​

=4

3

1

​

And,b

2

​

+b

5

​

=216

⇒ar+ar

4

=216

⇒ar(1+r

3

)=216

Replacing, r=4

3

1

​

⇒ar[1+(4

3

1

​

)

3

]=216

⇒ar[1+4]=216

⇒ar=

5

216

​

⇒a=

5r

216

​

=

5

3

4

​

216

​

∴ The first term is  5 34

​

216

​

Answer:

3*sqrt13

Step-by-step explanation:

You search for hypotenuse

Squared hypotenusw is equal to 6^2+9^2= 36+81=117

Hypotenuse is equal to sqrt117= sqrt9*sqrt13= 3*sqrt13

First make the denominator equal by doing Least common multiple. One the denominator gets the same then add and subtract the fraction number.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Adding and subtracting fractions with unlike denominators is calculated as,

First make the denominator equal by doing Least common multiple. One the denominator gets the same then add and subtract the fraction number.

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Answer:

GoG = X⁴ + 4X² + 6

Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

The coefficient of x^2 in the Taylor series for sin^2(x) about x=0 is 1. A coefficient refers to a constant factor that is multiplied by a variable or term in an algebraic expression or equation.

To find the coefficient of x^2 in the Taylor series for sin^2(x) about x=0, we need to expand sin^2(x) using the Maclaurin series.

The Maclaurin series expansion of sin^2(x) is given by:

sin^2(x) = (sin(x))^2 = (x - (x^3)/3! + (x^5)/5! - (x^7)/7! + ...)^2

Expanding the square, we get:

sin^2(x) = x^2 - (2/3)(x^4) + (2/15)(x^6) - (2/315)(x^8) + ...

Now, we can see that the coefficient of x^2 in the Taylor series for sin^2(x) is 1.

Therefore, the coefficient of x^2 in the Taylor series for sin^2(x) about x=0 is 1.

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0.50 off of each

6 tubes bought

So, saved

0.50 * 6 = $3

Paid 25.80 total for 6 of them (after sale). Saved $3. So, regularly it costed:

25.8 + 3 = $28.80

6 cost 28.80, so 1 cost:

28.80/6 = $4.80

Regular Price of each tube = $4.80 (r)

Note: Equation >>>

Colin is one of the few individuals who would be categorized as being intellectually gifted, typically falling within the top 2-3% of the population.

Intellectual giftedness refers to individuals who demonstrate exceptional intellectual abilities and potential beyond what is considered typical for their age group. It is often assessed through various measures, such as IQ tests and academic achievements. The exact percentage of the population considered intellectually gifted can vary depending on the specific criteria and assessments used.

However, it is generally estimated that gifted individuals represent around 2-3% of the population or even less. These individuals often show advanced cognitive abilities, strong problem-solving skills, and a high capacity for learning and academic achievement.

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Answer:

260 hours

Step-by-step explanation:

first take out the 20 fixed cost that doesn't change no matter how long he gardens from 800

divide the remainder which is 780 by 3 which is the amount he gets paid for every hour he gardens. He would have to work 260 hours for the bike if he only takes one yard job

1. Positive

2. Negative

3. Even

Mr. Shin will record that ben is positive.

Mr. Shin will record that Gail is negative.

Mr. Shin will record that Nathaniel is even.

Hope this helps you if it does pls mark me brainiest.

Answer:

adding answer so he can get brailnleyst

Step-by-step explanation:

Answer:

1 1/4 or  5/4 cups of flour

Step-by-step explanation:

7 1/2 divided by 6 equals 1 1/4.

hope this helps you :)

Answer:yes

Step-by-step explanation: