Solve the equation 8 - (x - 2) = 2x + (10 – 3x)
a) No Solution
b) One Solution, x = 2
c) One Solution, x = -1
d) Infinitely many solutions



Pls help!! I will o anything

Answer:

53,000

Step-by-step explanation:

The value of the ratio of the length of the adjacent side to the length of the hypotenuse for a 45° is 0.707.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc)

Given:

We have the Angle = 45.

Now, the ratio of the length of the adjacent side to the length of the hypotenuse is given Cosine ratio.

Then, cos 45 = adjacent side / hypotenuse

1/ √2 = adjacent side / hypotenuse

0.7071 = adjacent side / hypotenuse

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The requried, Anna collected "s" shells and her brother collected "2s" shells.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let the number of seashells that Anna collected be represented by the variable "s".

Then, the number of seashells that her brother collected can be represented by twice that amount, or 2s.

We can write the expression as,

Anna's shells = s

Brother's shells = 2s

Therefore, Anna collected "s" shells and her brother collected "2s" shells.

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The following rigid transformations are applied:

The solution set is found by the fact that the domain of quadratic functions is the entire real domain.

According to the Euclidean geometry, rigid transformations are those transformations applied on geometrical loci such that Euclidean distances are conserved in every point of the loci. Reflections and translations are sound examples of rigid transformations.

In this question we must derive all needed rigid transformations to turn f(x) into g(x), both quadratic functions. After a careful analysis we conclude that the following rigid transformations are applied:

The solution set is represent by all x-values such that the function exists. According to real algebra we remember that the domain of quadratic functions is the real domain. Thus, the solution sets of f(x) and g(x) are the real domain.

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Answer:

The equation of the line with slope = 4 and point (-5, -13)

will be:

Step-by-step explanation:

Given

As the point-slope form of the equation of line is

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope.

substituting the values m = 4 and the point (-5, -13)

\(y-y_1=m\left(x-x_1\right)\)

\(y-\left(-13\right)=4\left(x-\left(-5\right)\right)\)

\(y+13=4\left(x+5\right)\)

subtract 13 from both sides

\(y+13-13=4\left(x+5\right)-13\)

\(y=4x+7\)

Therefore, the equation of the line with slope = 4 and point (-5, -13)

will be:

\(y=4x+7\)

(a) The initial speed of the projectile - 28.2m/s

(b)The total time interval the projectile was in flight - 4.07s.

a) When a projectile is launched with speed \(v_{i}\) at an angle above the horizontal, the initial velocity components are \(v_{xi}\) = \(v_{i}\) cos\(θ\) and                  \(v_{yi}\)= \(v_{i}\) sin\(θ\) . Neglecting air resistance, the vertical velocity when the projectile returns to the level from which it was launched (in this case, the ground) will be \(v_{y} = - v_{yi}\) .

From this information, the total time of flight is found  \(v_{yf} = v_{yi} + a_{y}\) to be

         \(t_{total} = \frac{v_{yf} - v_{yi} }{a_{y}}\)   = \(\frac{-v_{yi} - v_{yi} }{-g}}\)  = \(\frac{2v_{yi} }{g}\)

         \(t_{total} = \frac{2v_{i}sinθ }{g}\)

Since the velocity of a projectile with no air resistance is constant, the horizontal distance it will travel in this time is given by

R = \(v_{xi} t_{total} = (v_{i} cosθ_{i}) \frac{2v_{i}sinθ }{g}\)  =  \(\frac{v^{2}_{i}}{g}( 2sinθ_{i} cosθ_{i} )\) = \(\frac{v^{2} _{i} (sin2θ_{i} ) }{g}\)

Thus, if the projectile is to have a range of R=81.1m when launched at an angle of \(θ_{i}\)=45.0°, the required initial speed is

\(v_{i} = \sqrt{\frac{81.1 * 9.80}{sin90} }\) = 28.2 m/s

Therefore, the initial speed of the projectile - 28.2m/s

b) With \(v_{i}\)=28.2m/s and \(θ_{i}\) = 45.0°, the total time of flight (as found

above) will be

        \(t_{total} = \frac{2v_{i}sinθ }{g}\)  = \(\frac{2(28.2 m/s) sin45}{9.80m/s^{2}}\) = 4.07s

∴The total time interval the projectile was in flight - was 4.07s.

c) Note that at \(θ_{i}\) =45.0° that sin(2\(θ_{i}\)) will decrease as \(θ_{i}\) is increased above this optimum launch angle. Thus, if the range is to be kept constant while the launch angle is increased above 45.0°, we see from \(v_{i}\) = \(\sqrt{\frac{Rg}{sin2θ_{i}} }\)that the required initial velocity will increase.

Observe that for \(θ_{i}\) <90°, the function sin\(θ_{i}\) increases as \(θ_{i}\) it increased. Thus, increasing the launch angle above 45.0° while keeping the range constant means that both \(v_{i}\) sins will increase. Considering the expression  \(t_{total}\) given above, we see that the total time of flight will increase.

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The correct question is :

The record distance in the sport of throwing cowpats is 81.1m. This record toss was set by Steve Urner of the United States in 1981. Assuming the initial launch angle was 45° and neglecting air resistance, determine (a) the initial speed of the projectile and (b) the total time interval the projectile was in flight. (c) How would the answers change if the range were the same but the launch angle was greater than 45°? Explain.

As we can see

A. The figures have the same shape. TRUE

B. The figures have the same size. FALSE

figure 1 is smaller than figure 2

C. Corresponding angles have the same measure. TRUE

as we can see in the image they have the same measure

D. Corresponding sides have the same length. FALSE

figure 1 is smaller than figure 2

E. Corresponding side lengths have the same ratio. TRUE

two figures are similar, the ratios of the lengths of their corresponding sides are equal.

F. The figures are similar. TRUE

because they have the same shape but the size is different

Answer:

Step-by-step explanation:

1. height serves as the y-value and shoes as the x-value. because domain is the values of x we take in consideration the units x represents. shoe sizes tend to come in sizes 10, 11,12

2. for this one I relied on process of elimination, 2 & 4 include negative numbers and height, at least here, cannot be negative. (3) is representing the y-value or height. so the only one left is 1

this also makes sense because time is positive and the distance would be too.

Answer:

I got 24,000 by doing 479 to 2.s.f which is 480 and you'll do the same for 49.82 which is 50 therefore, 480 x 50 =

24,000

Step-by-step explanation:

The answer is A. \(\frac{(x-2)(x+6)}{x-6}\).

Answer:

-8,5

Step-by-step explanation:

8,5 because the "m" is 5 squares down and 8 squares to the right.

Answer:

AC=44

Step-by-step explanation:

The value of AC is 12 unit.

A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

Given:

ABCD is a parallelogram.

And  BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6.

The two diagonals bisect each other.

AC = AE + EC

AC = 2AE

AC = 8x-12

The diagonals of a parallelogram are equal.

So,

BD = AC

5x+3 = 8x-12

x = 3

So, AC = 12

Therefore, the AC is 12 unit.

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Answer:

\( \huge \boxed{ \boxed{ \red{x = - 7}}}\)

Step-by-step explanation:

Step-by-step explanation:

Solution given;

\( \frac{3}{4} (x + 21) = 10 \frac{1}{2 } \\ 3x + 63 = \frac{21}{2} \times 4 \\ 3x = 42 - 63 \\ x = \frac{ - 21}{3} \\ x = - 7\)

:.x=-7 is your answer.

Answer:

$768

Step-by-step explanation:

8 x 12 = 96 m²

1 m² = $8.00

96m² x $8.00 = $768

Answer:

C. 58 degrees

To find the measure of angle R in triangle QRS, we can use the fact that the sum of the angles in a triangle is 180 degrees.

Given:

Q = 8x

m/R = 14x + 2 degrees

m/S = 10x + 50 degrees

The sum of angles Q, R, and S is 180 degrees:

Q + R + S = 180

Substituting the given values:

8x + (14x + 2) + (10x + 50) = 180

Simplifying the equation:

8x + 14x + 2 + 10x + 50 = 180

32x + 52 = 180

32x = 180 - 52

32x = 128

x = 128/32

x = 4

Now that we have the value of x, we can substitute it back into the given expressions to find the measures of angles Q, R, and S.

Q = 8x = 8 * 4 = 32 degrees

m/R = 14x + 2 = 14 * 4 + 2 = 58 degrees

m/S = 10x + 50 = 10 * 4 + 50 = 90 degrees

Therefore, the measure of angle R is 58 degrees. So, the correct answer is C. 58°.

I hope you do great and pass this Unit test!!

Answer:

not a function

Step-by-step explanation:

{(7,4),(5, -1),(3,-8),(1,-5),(3,6)}

This is not a function

The input of x=3 goes to two different outputs y=-8 and y=6

Mrs. Slater, who was a greedy woman, wanted to pinch many things.

Slater is a vigorous and plump lady who stays prepared to do any amount of straight talking to get her own way. It is understood that she is very dominating by the way she treats her daughter. She is insensitive too. She does not believe in making any sort of kind gestures or suggestions.

Slater is a vigorous, plump, red-faced and vulgar woman. She is prepared to do any amount of straight-talking to get her way. She is greedy and does not care about her father's death. She is also a miser who does not want to throw away the slippers even if they are small on Henry Slater's feet.

Mrs. Slater, who was a greedy woman, wanted to pinch many things.

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Answer:

15p+90

Step-by-step explanation:

15(p+4+2)

Add 4+2 since not doing it would make it WAY more confusing than it needs to be. Also, it's just common sense to add it first..! :D

15(p+6)

Now you just distribute <3

15p+90

The Taylor series centered at x=π for the function f(x) = cos(x) is given by:

f(x) = ∑ n=0 [infinity] (-1)^(n+1) * (2n)! * (x-π)^(2n)

The first five nonzero terms of this Taylor series are:

f(x) = -1 + (x-π)^2 - (x-π)^4/2! + (x-π)^6/4! - (x-π)^8/6!

The open interval of convergence for this series is (-∞, ∞), which means the series converges for all real values of x.

To approximate the definite integral ∫[0, 0.7] sin(x^3) dx with an error less than 10^(-6), we can use a series expansion. We need to find a series representation for sin(x^3) and determine the number of terms required to achieve the desired accuracy. Since we're looking for a specific accuracy level, we need to analyze the error term and choose the number of terms accordingly.

Now, let's consider the function f(x) = x^2 * cos(5x^2) - 1. We need to evaluate the 10th derivative of f at x=0, denoted as f^(10)(0). To do this, we can utilize a Maclaurin series expansion for f(x) by incorporating the series expansion for cos(x).

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Answer:

8 cm , 9cm

Step-by-step explanation:

sum of any two sides >third side

difference of any two sides<third side

only 8 cm and 9 cm satisfies it

8+9=17>13

9-8=1<13

You can use 3599 red tiles. If you have used 121 blue tiles.

To begin, find out how many total tiles are in the square by squaring the number of tiles along one side. Then subtract the number of tiles in the two diagonals of the square, which are all blue, to get the number of red tiles. Let us try to solve the problem. Given that the tiles are square and congruent, they must have identical dimensions. Let us assume that the length of one side of the square tile is x.

Therefore, the length of each side of the square can be determined by dividing the number of tiles by the length of the side of the square. The total number of tiles in the square can be calculated by squaring the number of tiles along one side. Consider the following equation: Let x be the length of each side of the square tile.

Then, the total number of tiles that make up the square can be determined using the following equation:

Total number of tiles in square = \(x^2\)

We know that all the tiles are congruent squares, except those that are blue, which are located on the two diagonals. This means that there are 2 diagonals of blue tiles, and the remaining tiles are red. To determine the number of blue tiles in the two diagonals, use the following formula:

Length of diagonal = √2 x side length

Since the diagonals pass through opposite corners of the square, they must be equal in length. The total number of blue tiles, 121, is equal to twice the number of blue tiles in one diagonal. Use the following formula to determine the number of blue tiles in one diagonal: 121 / 2 = 60.5 The answer is rounded up to 61.

Using the Pythagorean Theorem, the length of the diagonal of each blue tile can be calculated. The following equation can be used: Side of square = x

Length of diagonal of one blue tile = x√2

The number of blue tiles in one diagonal is the length of the diagonal divided by the length of the diagonal of one blue tile. This can be expressed as a formula:x / (x√2) = number of blue tiles in one diagonal

Simplify the formula:

x / (x√2) = number of blue tiles in one diagonal

Multiply both sides by √2 and simplify:(√2 / 2) = number of blue tiles in one diagonal

This indicates that each diagonal has a total of 61 blue tiles. Because the two diagonals have a total of 122 blue tiles, the number of red tiles is equal to the total number of tiles minus the total number of blue tiles. The following equation can be used to calculate the number of red tiles:(\(x^2\)) - 122 = number of red tiles

Substitute 61 for x: \((61)^2\) - 122 = 3721 - 122 = 3599.

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Answer:

first, how much were her songs? It's two songs each, and their separate prize was 0.99:

total prize was 2*0.99=1.98

this gets added to the membership prize:

19.99+1.98=21.97

you can also calculate this by rounding all the numbers (20+1+1) and substracting the amount you rounded (three times one cent) - the result would be the same.

B     19.99+.99n

C   okay so it says Sophia's friend has saved $118 so she already knows she has $118 and then the next step is to figure out about Part B so she does not know how many songs you can afford to buy so the expression in Part B whatever the expression is if you figured out the answer to Part B and there's a number what you want to do what you would want to divide that number into 118 to see how how many equal groups you can make and you don't want to go overboard 18 so what you would want to do it if you would want to do if you figure out the number to expression be in the boring part B they don't want to take that and keep making a go go to that until you reach 118 and then you would get your total

D  N=99 songs

This method is valid since it produces an interval that contains the true difference 95% of the time. The interval for the gender difference in U.S. teen depression rates is between 3.2% and 8.5%, with girls having higher rates.

The confidence interval method is a valid way of estimating a population parameter based on a sample statistic. In this case, the sample statistic is the 6% difference observed in the study. The confidence interval is used to estimate the true difference between the two groups in the population. This method produces an interval that contains the true difference 95% of the time. In this case, the 95% confidence interval for the gender difference in U.S. teen depression rates is between 3.2% and 8.5%, with girls having higher rates. This means that there is a 95% chance that the true difference in depression rates between boys and girls is somewhere between 3.2% and 8.5%. This method is considered valid because it produces an interval that contains the true difference 95% of the time.The 95% confidence interval for the gender difference in U.S. teen depression rates is calculated as follows:

Lower bound: 6% - 1.96*(Standard Error)

Lower bound: 6% - 1.96*(1.5%)

Lower bound: 3.2%

Upper bound: 6% + 1.96*(Standard Error)

Upper bound: 6% + 1.96*(1.5%)

Upper bound: 8.5%

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Answer:

d =-65

Step-by-step explanation:

The output of the following code snippet will be 1, 2, 3, and 4.

The reason is that the while loop runs infinitely until the break statement is executed. The break statement terminates the loop if the value of x is divisible by 5. However, the value of x is incremented at each iteration of the loop before checking the condition. Here is the step-by-step explanation of how this code works:

Step 1: Assign 1 to x.x = 1

Step 2: Start an infinite loop using the while True statement.

Step 3: Check if the value of x is divisible by 5 using the if x % 5 == 0 statement.

Step 4: If the value of x is divisible by 5, terminate the loop using the break statement.

Step 5: Print the value of x to the console using the print(x) statement.

Step 6: Increment the value of x by 1 using the x += 1 statement.

Step 7: Repeat steps 3-6 until the break statement is executed.

Therefore, the output of the code will be: 1 2 3 4.

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Answer:

(+) 3

Step-by-step explanation:

-3 -(-6)

Double negative = positive

-3 + 6

3

Answer:

Step-by-step explanation:

Solve:

-6n+5<11

-6n<6 (carry over the 5 by subtracting)

n>-1  (put "n" alone divide by -6, because dividing by a negative flip the symbol)

**Don't forget to carry the Negative Symbol on -6n

So, "A" is the answer

Test:

put in point

0>-1 ✔

or ....

-6n+5<11

-6(0)+5<11

5<11✔

So we know the line arrow goes in the positive direction