There are about 1024 stars in the universe. Each galaxy has approximately the same number of stars as the Milky Way galaxy.
About how many galaxies are in the universe? Write your answer as a power.

Answer:

C. 139°

Step-by-step explanation:

Given:

m<A = 62°

m<B = 77°

Required:

Find m<1

Solution:

Since ∆ABC is similar to ∆DEF, therefore:

<A ≅ <D, which means m<D = 62°

<B ≅ <E, which means m<E = 77°

<C ≅ <F

Therefore, based on exterior angle theorem:

m<1 = m<D + m<E

m<1 = 62° + 77° (substitution)

m<1 = 139°

As given by the question

(1)

There are given that the equation:

Now,

Put the value of y is 27 and x is 3 into the above equation to check the solution

So,

From the equation:

Hence, the answer is No.

Now,

(2):

From the equation:

Now,

The graph of the given equation is shown below:

According to the question,

There are given that negative values, that means -3.

So, the graph of the parabola is downwards from the origin.

Answer:

d=9

Step-by-step explanation:

d-1(-3)=12

d+3=12

subsctract 3 both sides

12-3=9

d = 9

Hey girl! It's me again to explain this to you :)

Number 21.) If we start from our y-intercept -2 and move up 2 on our y-axis we get to point (0,0). If we move over 1 space to the right, we are on (1,0), which is the x-intercept.

Slope: 2/1 or just 2

Y-intercept: -2

You didn't ask for this but i'm gonna write it anyways. The equation for this line is y=2x-2

Number 22.) If we start from our y-intercept 2 and move down 2 on your y-axis we get to point (0,0). If we move over 1 space to the right, we are on (1,0), which is the x-intercept.

Slope: -2/1 or just -2

Y-intercept: 2

Again you didn't ask for this but the equation for this line is y=-2x+2

Hope this helped you understand and again make this brainliest and reply if you need more help or have any more questions :)

Step-by-step explanation:

Answer:

55

Step-by-step explanation:530 would be rounded to 550 and 9 would be rounded to 10

550 divided by 10 is 55

Pls give me brainliest if this helps

Answer:

1. 476 2. 442 3. 34 4. 104 5. 5 6. 52

Step-by-step explanation:

hope this helps :)

Answer:

-8

Step-by-step explanation:

a = −3; b = −1/2

(a − 2b)³ = [-3 - 2(-1/2)]³ = [-3 + 1]³ = (-2)³ = -8

Answer:

Step-by-step explanation:

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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The graph of the inequality is attached below

To solve this problem, we need to solve the inequality and then plot the graph on a number line.

What is Inequality?

inequality, In mathematics, is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions

Applying absolute rule;

\(-4\leq x-2\leq 4\\x - 3\geq -4 and x - 2 \leq 4\\x - 2 \leq 4; \\x \leq 6\\x \geq -2\)

Combining the overlapping intervals;

\(-2\leq x\leq 6\)

Kindly find the attached image as the graph on a number line below.

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Answer:

the answer is B D and A.

Step-by-step explanation:

(ignore) hshehshsnebajjsjanananahabsn

Answer:

0, 3?

Step-by-step explanation:

all of them are added 3 when the next number

The zero/origin point or coordinate for the data points given is (0 , 3)

Using the pair of points given for our Calculation:

Each (x, y) pair increases by a value of 2 ;

From (2, 5)

Then (4, 7)

The point where x = 0 would lie before the point (2,5)

Thus , we have :

Hence, the zero point is :

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The period of the function f(t) = 2.3cos(0.25t) is 8π. Hence, the correct answer is d) period 8π.

To determine the period of the function f(t) = 2.3cos(0.25t), we need to consider the coefficient of t inside the cosine function.

In this case, the coefficient is 0.25, which represents the frequency of the cosine function. The period of a cosine function is given by the formula T = 2π/frequency.

Using this formula, we can calculate the period of the function f(t) as follows

T = 2π / 0.25

T = 8π

Therefore, the period of the function f(t) = 2.3cos(0.25t) is 8π.

Hence, the correct answer is d) period 8π.

The period of a function represents the length of one complete cycle or the distance between two consecutive identical points on the graph of the function. In this case, the function is a cosine function, and the period determines how long it takes for the function to repeat its values

The coefficient 0.25 in the function f(t) = 2.3cos(0.25t) affects the frequency of the cosine function. A smaller coefficient results in a slower oscillation, while a larger coefficient leads to a faster oscillation. In this case, since the coefficient is 0.25, it means that the function completes one full cycle within 8π units of time.

Understanding the period of a function is crucial for analyzing its behavior, identifying the frequency of oscillation, and studying its repetitive patterns.

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Answer:

x=3y

y=x

3

Step-by-step explanation:

x-3y=2 equation 1

-2x+6y=2 equation 2

x-3y= -2x+6y

x+2x=6y+3y

3x=9y

x=3y

x-3y= 2

3y-3y=2

0≠2

-2x+6y=2

-2(3y)+6y=2

-6y+6y=2

0≠2

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Answer:

9, 12, 15

Step-by-step explanation:

Using the recursive formula and T₁ = 6 , then

T₂ = T₁ + 3 = 6 + 3 = 9

T₃ = T₂ + 3 = 9 + 3 = 12

T₄ = T₃ + 3 = 12 + 3 = 15

The expression is written as;

Part A : Length, L = 4x - 5

Part B:  (4x-5)(3x)

The formula for the area of a rectangle is expressed as;

A = lw

Given that;

substitute the expressions, we get;

12x² - 15x = 3x(l)

divide both sides by 3x, we get;

Length, l = 12x²/3x - 15x/3x

Divide the values, we get;

Length, L = 4x - 5

Area = (4x-5)(3x)

multiply the values

Area = 12x² - 15x

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Answer:

1unit scale on map is equal to 100.16 km in real life

Step-by-step explanation:

since in map 12.cm =1262km in real life

1cm=(1262/12.6) km

therefore it gives us 100.158km which is approximately 100.16 km .

Therefore, the solution to the given problem is that the upper bound for P(X>15) is 3/25

The variance is the difference between the numbers in a set of data, to put it simply. Each number's variability is a statistical statistic that indicates how far off from the mean and from each other number in the set it is.

Here,

Given : mean = 10

varience = 3

Using chebyshevs inequality we have

P(|X-u| ≥ k)≤ \(\sigma^{2}\)/\(k^{2}\)

hence we can have,

=> P(X>15)  ≤ 3/\(5^{2}\)

=> P(X>15)  ≤ 3/25

Therefore, the solution to the given problem is that the upper bound for P(X>15) is 3/25

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Answer:

27

Step-by-step explanation:

There are 45 students in total and 18 want to continue living in the jungle

45-18=27

Answer:

= 1963.5cm³

Step-by-step explanation:

radius=5

height=25

V=πr2h=π·52·25≈ 1963.49541cm³

Answer:

299

Step-by-step explanation:

Each term adds 8 to the previous term

  an = a1 + (n-1) * 8

  38th = 3 + 37 * 8 = 299

Answer:

\(y=5x^2-80x+324\)

Step-by-step explanation:

Answer:

1/9 cup left

Step-by-step explanation:

7/9 - 2/3

Change to a common denominator.

7/9 - 6/9 = 1/9

I hope this helps and please mark me as brainliest!

Answer:

226

Step-by-step explanation:

The value of z in the circle is 2.3 units

In the question, the following statements represents the given parameters

As a general rule, the diameter of a circle is the radius doubled

So, we have

2 * (z + 3.6) = 11 4/5

Express as decimal

2 * (z + 3.6) = 11.8

So, we have

z + 3.6 = 5.9

Evaluate the like terms

z = 2.3

Hence, the value of z is 2.3

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The intermediate step in completing the square is\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\)

To complete the square for the equation \($(x+a)^2=b$\), we can follow these steps:

1. Expand the left side of the equation: \($(x+a)^2 = (x+a)(x+a) = x^2 + 2ax + a^2$\).

2. Rewrite the equation by isolating the squared term and the linear term: \($x^2 + 2ax = b - a^2$\).

3. To complete the square, take half of the coefficient of the linear term, square it, and add it to both sides of the equation:

\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\).

4. Simplify the right side of the equation: \($x^2 + 2ax + (a^2) = b$\).

This step can be represented as: \(\[x^2 + 2ax + (a^2) = b - a^2 + (a^2)\]\)

This intermediate step helps us rewrite the equation in a form that allows us to factor it into a perfect square.

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The measure of angle 4 is 121 degrees.

We know that the sum of all angles of triangle is 180 degrees.

∠1 + ∠2 + ∠3 = 180°

81° + 40° + ∠3 = 180°

∠3 = 180° - 121°

∠3 = 59°

We can observe that, angle 3 and angle 4 are linear angles.

So, ∠4 + ∠3 = 180°

∠4 = 180° - ∠3

∠4 = 180° - 59°

∠4 = 121°

Therefore, the measure of angle 4 is 121 degrees.

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Answer:

9/24 or 37.5%

hope this helps :)

Hi,  

first thing you must do with a  probability problem is to count how many thing you have in your universe.

Here we are dealing with sweets. So let's count  :  5 +4+8+4+3 = 24  

and there is  5 yellow  so probability to pick up a yellow is  5/24

and there is 4 orange  so probabilitu to pick up a orange is  4/24

To say  :   Ola will pick orange or  yellow  mean  if she pick either one of the two sort is good.  So you add the proba of each :   5/24 +4/24 = 9/24

and then you must reduce if you can :   9/24 = 3*3 /8*3 =  3/8

So the probability that Ola pick a  yellow or orange sweet is  3/8 = 0.375

Answer:

d. -4

Step-by-step explanation:

What is the solution? 4p – 12 = 8 + 4p + 5p

a. 16

b. 6

c. -5

d. -4

Option d. -4

=> 4p – 12 = 8 + 4p + 5p

=> 4p - 4p - 5p = 8 + 12

=> -5p = 20

=> p = 20/(-5)

=> p = -4