need help asap its “equation practice with angle addition”

Answer:

V≈523.6in³

d Diameter

Step-by-step explanation:

so its b

Answer:

Step-by-step explanation:          

\(49x^2-42x+(\frac{42}{2})^2=49x^2-42x+(\frac{42}{2} )^2\)    (completing the square)  

  \(49x^2-42x+441=49x^2-42x+21^2\)

                              \(=(7x-21)^2\)

So    \(49x^2-42x+441=(7x-21)^2\)

Solution: The required constant is 441.

Remember:    Completing the square IN \(ax^2+bx+c\) involves adding  \((\frac{b}{2} )^2\)     to both sides of the equation. THIS KEEPS IT BALANCED AND ALLOWS US TO MAKE A PERFECT SQUARE.    

Answer:

5

Step-by-step explanation:

The triangle pictured is a 45-45-90 triangle, meaning both legs are the same length, 5.

The speed of the object is 12121 m per week.

What does it mean to do speed?

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s =  \(1.65 * 10^{-6} week\)

Speed = distance/time

So,

\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)

\(v = 12121.21 m/ week\)

or v = 12121 m/ week

So, the speed of the object is 12121 m per week.

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The Area of the composite figure = area of the rectangle + area of the triangle = 148.5 cm².

The figure formed by the arrow can be decomposed into a rectangle and a triangle.

The area of the composite figure = area of the rectangle + area of the triangle.

Find the area of the rectangle:

Length = 12 cm

Width = 11 cm

Area of the rectangle = (length)(width) = (12)(11)

Area of the rectangle = 132 cm²

Find the area of the triangle

Base = 11 cm

Height = 15 - 12 = 3 cm

Area of the triangle = 1/2(b)(h) = 1/2(11)(3)

Area of the triangle = 16.5 cm²

Area of the composite figure = area of the rectangle + area of the triangle = 132 + 16.5 = 148.5 cm².

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Answer: A false, B true, C true

Step-by-step explanation:

A) intercept with y axis

That means x=0

y= 3*0-2

y= -2 So A is false

B) intercept with x axis

That means y=0

0= 3x-2

2=3x

2/3= x B is true

C) The form of linear function is

f(x)= mx +n, where m is the slope

In this case m= 3 so C is true

1. The y - intercept is 2. ⇒ False

2. The x - intercept is 2/3 ⇒ True.

3. The slope is 3. ⇒ True.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The function is,

f (x) = 3x - 2

Now,

1. To find the y - intercept we substitute x = 0 in the function.

Hence, The y - intercept is,

f (x) = 0 - 2

f (x) = - 2

Hence, The statement y - intercept is 2 is False.

2. To find the x - intercept we substitute f(x) = 0 in the function.

Hence, The y - intercept is,

f (x) = 3x - 2

0 = 3x - 2

3x = 2

x = 2/3.

Hence, The statement x - intercept is 2/3 is True.

3. We know that;

The slope intercept form of the line is,

y = mx + b

Where, m is slope of the line.

And, b is y - intercept.

So, By comparing with the function f (x) = 3x - 2 , we get;

Slope (m) = 3

Hence, The slope is 3 is True.

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Answer:

D -0.87

Step-by-step explanation:

The question states that it is a strong, linear relationship, so the value should be close to 1. Those who exercise more have a lower resting heart rate, so this means that it would be a negative number. -0.87 is a correlation coefficient that is strong since it is close to -1.

A reasonable value for the correlation Coefficient between the variables which depicts a strong negative association between then ls - 0.87

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Answer:

A its the mos resonable one

Answer:

Can you give me any more context?

The residual for this day is -6, indicating that there are six packages missing beyond what the fraternities had. This means that not only were the 11 packages stolen, but there were also six additional missing packages.

1. We start with the total number of packages, which is 5 (as given in the question).

2. Then, we subtract the number of stolen packages, which is 11 (as given in the question).

3. Residual = 5 (total number of packages) - 11 (number of stolen packages).

4. Performing the subtraction, we get a result of -6.

5. A negative residual value indicates that there are missing packages beyond the ones that were stolen.

6. Therefore, on this day, besides the 11 stolen packages, there are an additional six missing packages.

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Answer: (3,-2)

Step-by-step explanation: We're reflecting to the y-axis, thus, we're going to reflect to the right.

(-x,-y) ⇒ (x,-y)

Our current coordinate is (-3,-2)...let's convert it now...

(3,-2)

I hope this helps!

Answer:

(3, -2).

Step-by-step explanation:

When you reflect across the y axis the y coordinate stays the same and the x axis changes sign : (x, y) --> (-x, y).

So B (-3, -2) --> (3, -2).

Answer: OO! i remember this but i forgot

Step-by-step explanation: ඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞ.

amogusඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞ.ඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞ.ඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞ.

Answer:

1. 942.48

Step-by-step explanation:

Input the numbers in the formula.

Answer:

$88

Step-by-step explanation:

first, you find 20% of 57 which = 11.4

then subract it with 57 which looks like 57-11.4 = 45.6

= 45.6

first, you find 20% of 53 which = 10.6

then subract it with 53 which looks like 53-10.6 = 42.7

= 42.4

then you add them both  which = 45.6+ 42.4= 88

The value of the missing parts of the given right triangle is given as follows:

A = 46°

a = 13.5

c = 18.7

To determine the missing part of the triangle, the following should be carried out.

The total internal angle of a triangle = 180°

The given angle = 90°+44° + A = 180°

180° = 134°+ A

A = 180-134 = 46°

Using the sine formula;

a/sinA = b/sinB

a =?

A = 46°

b = 13

B = 44°

That is ;

a/sin 46° = 13/sin 44°

a = 0.719339800×13/0.694658370

= 13.5

Using the Pythagorean formula;

c² = a²+b²

c² = ?

a = 13.5

b = 13

c² = 13.5²+13²

= 180.9+169

= 349.9

c = √349.9

= 18.7

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Answer:

B equals 8

Step-by-step explanation:

Because it says so.

Answer:

a=b

Step-by-step explanation:

using the substitution property of equality, since both a and b equal 8 you can determine that they are equal to each other

The side lengths of the triangle are:

Longer side= 36m, shorter side= 27m and hypotenuse=45m

Here, we have,

Let x be the longer leg of the triangle

According to the problem, the shorter leg of the triangle is 9 shorter than the longer leg, so the length of the shorter leg is x - 9

The hypotenuse is 9 longer than the longer leg, so the length of the hypotenuse is x + 9

We know that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. So we can use the Pythagorean theorem:

(x + 9)² = x² + (x - 9)²

Expanding and simplifying the equation:

x² + 18x + 81 = x² + x² - 18x + 81

x²-36x=0

x=0 or, x=36

Since, x=0 is not possible in this case, we consider x=36 as the solution.

Thus, x=36, x-9=27 and x+9=45.

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The equation is (1/3-6m)-(1/4n-8).The equation's difference is -6m-1/4n+25/3.

Given that,

The equation is (1/3-6m)-(1/4n-8)

We have to find the difference of the equation.

What is difference?

Difference in mathematics is produced by one of the most important mathematical operations, which is obtained by deleting two numbers. It displays the difference between two numbers. To determine how many numbers are between the two supplied numbers is the goal of finding the difference in math.

The difference in mathematical notation is minus (-).

To difference between whole numbers and natural numbers, take the following steps:

The values are initially arranged vertically according to their place values. Additionally, make sure that the larger number is on top and the smaller one is at the bottom.

Starting at the ones place, begin removing the numerals.

Take the equation,

(1/3-6m)-(1/4n-8)

Taking least common multiple.

(1-6×3m)/3-(1n-8×4)/4

By multiplication

(1-18m)/3-(n-32)/4

Taking the least common multiple.

4(1-18m)-3(n-32)/3×4

By multiplication

(4-72m-3n+96)/12

Now by adding

(-72m-3n+100)/12

By dividing

-6m-1/4n+25/3

Therefore, The difference of the equation is -6m-1/4n+25/3.

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The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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A fraction is a way to describe a part of a whole. The value of x is 6.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The value of x can be written as,

\(\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{x}}} = \dfrac{7}{13}\\\\\\\dfrac{1}{1+\dfrac{1}{\dfrac{x+1}{x}}} = \dfrac{7}{13}\\\\\\\dfrac{1}{1+\dfrac{x}{x+1}} = \dfrac{7}{13}\\\\\\\dfrac{1}{\dfrac{x+1+x}{x+1}}= \dfrac{7}{13}\\\\\\\dfrac{x+1}{x+1+x}= \dfrac{7}{13}\\\\\)

13x + 13 = 7x + 7 + 7x

13x + 13 = 14x + 7

x = 6

Hence, the value of x is 6.

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The charge per cubic foot is $0.05. The equation for the total cost of a resident's water is C(x) = 0.05x + 40. The number of cubic feet of water used that would lead to a bill of $130 is 2200.

We will use the given data to calculate the charge per cubic foot:Let x be the number of cubic feet of water used by a household and let y be the corresponding bill amount.

Case 1: When a household using 1000 cubic feet was billed $90.

Case 2: When one using 1600 cubic feet was billed $105.Subtracting case 1 from case 2, we get:$$105 - 90 = 15$$$$1600 - 1000 = 600$$So, the charge per cubic foot is:$$\frac{15}{600} = 0.025$$$$\implies 0.05 \text{ (for two decimal place)}$$ Hence, the charge per cubic foot is $0.05.

To write an equation for the total cost of a resident's water as a function of cubic feet of water used, we will use the given data:

$$\text{Fixed amount = } $40$$\text{Charge per cubic foot of water used = } $0.05$$\text{Number of cubic feet used = } x$$

Therefore, the equation for the total cost of a resident's water as a function of cubic feet of water used is:

$$C(x) = \text{(Charge per cubic foot of water used)}\times\text{(Number of cubic feet used)}+\text{(Fixed amount)}$$$$C(x) = 0.05x + 40$$

To find out how many cubic feet of water used would lead to a bill of $130, we will use the equation obtained above:

$$C(x) = 0.05x + 40

= $130$$$$\implies 0.05x

= $90$$$$\implies x

= \frac{90}{0.05}

= 1800$$

Therefore, the number of cubic feet of water used that would lead to a bill of $130 is 1800.

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Answer:

Step-by-step explanation:

Yes you can multiply 5 and 2x. As you said 5×2x is 10x

So you can go forward from there...3x + 10x = 26. Next, combine like terms, that means adding the 3x and the 10x together to get 13x. Here is where you could NOT add, IF one was an x term and one was a plain number, couldn't happen. But they are both x's in this case so you get 13x =26 and divide by 13 on both sides of the equation and get x = 2 for your final answer.

Hey there!

3x + 5 * 2x = 26

3x + 5(2)x = 26

3x + 10x = 26

COMBINE the LIKE TERMS

(3x + 10x) = 26

13x = 26

DIVIDE 13 to BOTH SIDES

13x/13 = 26/13

CANCEL out: 13/13 because it gives you 1

KEEP: 26/13 because it helps solve for the x-value

NEW EQUATION: x = 26/13

SIMPLIFY IT!

x = 2

Therefore, your answer is: x = 2 and yes!

SIDE NOTE:

TRY TO MAKE IT TRUE

3(2) + 5(2)(2)

= 6 + 10(2)

= 6 + 20

= 26

Therefore, your statement would be true if that’s the case!

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

100

Step-by-step explanation:

Dont really know how to explain this.. 100 is the LCM of 10, 20, and 25

Answer:100

Step-by-step explanation:

Check this video for more info : https://youtu.be/BSLem5-aDpI but I did : https://imgur.com/a/hryUe2J

Without knowing the exact number of games played or the final score, it is not possible to determine who won the game. The probabilities for all possible values of x P(John wins) = ∑ P(X = x+2).

The expected number of games played in this match can be calculated using the formula for the expected value of a geometric random variable, which is given by:

E[X] = 1/p

where E[X] is the expected value of the random variable X, and p is the probability of success (in this case, the probability that John wins a single game).

Plugging in the values, we get:

E[X] = 1/0.55 = 1.82

This means that the expected number of games played in the match is approximately 1.82 games.

It is not possible to determine with certainty who will win the game based on the probability of winning a single game alone. However, it is possible to calculate the probability that John will win the match given the probability of winning a single game.

The probability that John wins the match can be calculated using the formula for the probability of a geometric random variable, which is given by:

P(X = k) = p\((1-p)^{(k-1)}\)

where P(X = k) is the probability that the random variable X takes on the value k, p is the probability of success, and k is the number of successes.

For John to win the match, he must win two games more than Maria. Let's assume that Maria wins x games. This means that John must win x+2 games to win the match. Plugging these values into the formula above, we get:

P(X = x+2) = 0.55\((1-0.55)^{(x+1)}\)

This is the probability that John wins the match given that Maria wins x games. To calculate the probability that John wins the match overall, we must sum the probabilities for all possible values of x.

P(John wins) = ∑ P(X = x+2)

This sum can be approximated using a computer program, or by hand using a sum of infinite geometric series formula.

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The question is -

Maria and John played a computer game. John and Maria play a series of games where John has a probability 0.55 of winning each game independently. They play until the first player who wins two games more than his opponent wins the match. What is the expected number of games played? Who scored more points and won the game? Explain?

Answer:

Oblique rectangular prism

Answer:

406 candles in all.

Step-by-step explanation:

She needs 6 large arrangements with 25 candles in each arrangement.

Multiply 25 and 6 to find how much candles for all large arrangements combined.

25*6=150

She also needs 13 small arrangements with 12 candles in each arrangement.

Multiply 13 and 12 to find how much candles for all the small arrangements combined.

13*12=156

Add the answers together to find how many candles in all.

156+150=406.

She needs 406 candles in all.

Hope this helps!

Answer:

306

Step-by-step explanation:

First we find the number of candles needed for each size of arrangement.

Large Arrangements:

6 large arrangements with 25 candles each:

25 × 6 = 150

Small Arrangements:

13 small arrangements with 12 candles each:

13 × 12 = 156

Now we add the results above to find a grand total:

total = 150 + 156 = 306

(fg)(x)= x³ - 7x² - 9x + 8

domain is (-∞,∞)

Given: f(x)= x-8, g(x)= x² +1x - 1

To find (fg)(x) we multiply f(x) and g(x)

(fg)(x) = f(x) * g(x)

(fg)(x)= (x-8) (x²+x-1)

(fg)(x)= x³ + x² - x - 8x² - 8x +8

(fg)(x)= x³  - 7x²  - 9x + 8

we know, domain for all cubic function is set of all real numbers

domain is (-∞,∞)

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The price of each plastic bead is $0.75 and the price of each metal bead is $1.25.

Let's assume the price of a plastic bead is 'p' dollars and the price of a metal bead is 'm' dollars.

We can create a system of equations based on the given information:

Equation 1: 7p + 5m = 7.25 (from the first bracelet)

Equation 2: 9p + 3m = 6.75 (from the second bracelet)

To solve this system of equations using elimination, we'll multiply Equation 1 by 3 and Equation 2 by 5 to make the coefficients of 'm' the same:

Multiplying Equation 1 by 3:

21p + 15m = 21.75

Multiplying Equation 2 by 5:

45p + 15m = 33.75

Now, subtract Equation 1 from Equation 2:

(45p + 15m) - (21p + 15m) = 33.75 - 21.75

Simplifying, we get:

24p = 12

Divide both sides by 24:

p = 0.5

Now, substitute the value of 'p' back into Equation 1 to find the value of 'm':

7(0.5) + 5m = 7.25

3.5 + 5m = 7.25

5m = 7.25 - 3.5

5m = 3.75

Divide both sides by 5:

m = 0.75

Therefore, the price of each plastic bead is $0.75 and the price of each metal bead is $1.25.

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