Mike and Ike decided to take a drive to Crystal Mountain Lake. As they leave home in Swamp Town, they notice that the car odometer reads 15,632 miles. When they stop at Vine Valley to have lunch, they notice that the odometer reads 15,795 miles, and they see this road sign: Crystal Mountain Lake 52 miles. What is the distance from Swamp Town to Crystal Mountain lake (2 points)? Show your work (3 points).

Trigonometric ratios are ratios between any two sides of a right triangle that can then be used to determine the measure of an angle between those two sides. Primary trigonometric ratios (in a right triangle trigonometry) are: sin (x), cos (x) and tan (x)

On the basis of any two side lengths, we may even determine the acute angle measurements in a right triangle. We may get the ratios of the lengths of the triangle's sides to an acute angle in a right triangle by knowing the acute angle's measurement.

In a triangle, the longest side is located across from the largest angle, while the shortest side is located across from the smallest angle.

Triangle Unfairness: The lengths of any two sides added together in a triangle always exceed the length of the third side.

Pythagoras Theorem, a²+b²=c² in a right triangle with hypotenuse c.

A triangle is a right triangle if its sides conform to the relationship a²+b²=c²

The right angle, or 90°, is always one angle. The hypotenuse is the side with the 90° angle opposite. The longest side is always the hypotenuse. The other two inner angles add up to 90 degrees.

Remember that the Pythagorean theorem only holds true for right triangles, in which case the converse of the theorem also holds true. In other words, if a triangle's sides satisfy the connection, then it must be a right triangle.

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Answer:

Step-by-step explanation:

The right triangle with hypotenuse 5 that has legs that differ by 1 is the 3-4-5 right triangle. The legs are 3 ft and 4 ft.

__

Alternate solution

If you have never heard of a 3-4-5 right triangle, you can figure the leg lengths algebraically using the Pythagorean theorem. Let x represent the length of the "other" leg. Then the shortest is (x-1). The Pythagorean theorem tells you ...

  5^2 = (x)^2 +(x -1)^2

  25 = 2x^2 -2x +1

  12 = x^2 -x = x(x -1)

Factors of 12 that differ by 1 are 3 and 4 or -3 and -4. We want x to be positive, so the value of interest is x=4

The "other" leg is 4 ft; the shortest leg is 3 ft.

Answer:

3 ft, 4 ft

Step-by-step explanation:

Represent the length of the shortest leg using x.  Then the other leg length is x + 1.  Applying the Pythagorean Theorem,

x^2 + (x + 1)^2 = 5^2, or

x^2 + x^2 + 2x + 1 = 25, or

2x^2 + 2x - 24 = 0.

Reducing this, we get x^2 + x - 12 = 0, or (x + 4)(x - 3) =0.

Solving for x:  x + 4 = 0 => x = -4; also x - 3 = 0 => x = 3

Since we're measuring length, let's omit x = -4 and focus on x = 3.

Shortest leg is 3 ft long; other leg length is 3 + 1 ft, or 4 ft, long.

The graph of g(x) is shifted 4 units up from the parent function

The equation of the parent function f(x) is given as

f(x) = x

The transformed function is given as

g(x) = x + 4

Substitute the known values in the above equation, so, we have the following representation

g(x) = f(x) + 4 or g(x) = f(x + 4)

This means that the function is shifted to the left by 4 units or it is shifted up by 4 units

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Regression equation correctly models the data is: y = -43.98x + 1,279.93

To determine the regression equation that correctly models the data, we can use the method of linear regression. The regression equation for a straight line is generally expressed as y = mx + b, where m is the slope and b is the y-intercept.

Using the given table, we can calculate the necessary values to determine the regression equation. Let's denote the sigma notation as Σ.

The slope (m) can be calculated using the formula:

\(m = (Σxy - (Σx)(Σy) / n(Σx^2) - (Σx)^2)\)

Plugging in the values from the table:

m =\((776,600 - (299)(12,400) / 6(18,109) - (299)^2)\)

m = (776,600 - 3,708,800 / 6(18,109) - 89,401)

m = (-2,932,200 / 66,654)

m ≈ -43.98

The y-intercept (b) can be calculated using the formula:

b = (Σy - m(Σx)) / n

Plugging in the values from the table:

b = (12,400 - (-43.98)(299)) / 6

b ≈ 1,279.93

The correct regression equation that models the data is:

y = -43.98x + 1,279.93

Out of the given options, the correct regression equation is:

y = -43.98x + 1,279.93

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Answer:

C. 26°, 64°, 90°

Step-by-step explanation:

Answer:

using substitution x= 3 and y= -4 (3,-4)

we have that

K is the center of circle

J -----> point of tangency

segment IK is a radius

segment JL is a chord

segment GI is a secant

segment JI is a diameter

segment GJ is a tangent

arc JIL is a major arc

arc JL is a minor arc

arc JLI is a half circle (180 degrees)

Part 2

we have that

arc ST

Remember that

arc ST+87+72=180 degrees ------> by half circle

so

arc ST=180-159

arc WV

we have

arc WV+arc UV=180 degrees -----> by half circle

arc UV=72 degrees

so

arc WV=180-72

arc VUT

arc VUT=arc VU+arc UT

substitute given values

arc VUT=72+87

Answer:

20x+40

Step-by-step explanation:

Hey there! first, we multiply 5 x 4x = 20x. then we multiply 5 x 8 = 40

now we add them but in the 20x there is x so we can't add them but we can write them as 20x + 40

Answer:

\(\huge\boxed{\sf{20x+40}}\)

Step-by-step explanation:

Hello.

The Distributive Property states that

a(b+c)=ab+ac \(\mapsto\) we multiply a times b and c

Now, simplify the given expression:

5(4x+8)

20x+40

I hope it helps.

Have a great day.

\(\boxed{imperturbability}\)

The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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The probability of rolling a sum from 2 to 12 on 2 dices is 100%

Given the data,

The two dice should be rolled.

Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).

The resultant 36 results are as follows:

1-1, 1-2, 1-3, 1-4, 1-5, 1-6

2-1, 2-2, 2-3, 2-4, 2-5, 2-6

3-1, 3-2, 3-3, 3-4, 3-5, 3-6

4-1, 4-2, 4-3, 4-4, 4-5, 4-6

5-1, 5-2, 5-3, 5-4, 5-5, 5-6

6-1, 6-2, 6-3, 6-4, 6-5, 6-6

When using two dice, there are a total of 36 possibilities that might occur.

As a result, the results' total ranges from 2 to 12.

Hence , the probability is 100 %

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Answer:

Brand A  Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^

Answer:

D

Step-by-step explanation:

When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"

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A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

Option C. 1020

Step-by-step explanation:

From the question given above,

512 + 256 +... + 4 =?

We'll begin by calculating the number of terms in the sequence. This can be obtained as follow:

First term (a) = 512

Common ratio (r) = 2nd term / 1st term

Common ratio (r) = 256 /512

Common ratio (r) = 1/2

Last term (L) = 4

Number of term (n) =?

Tₙ = arⁿ¯¹

L = arⁿ¯¹

4 = 512 × (1/2)ⁿ¯¹

Divide both side by 512

4 / 512 = (1/2)ⁿ¯¹

1/128 = (1/2)ⁿ¯¹

Express 128 in index form with 2 as the base

1/2⁷ = (1/2)ⁿ¯¹

(1/2)⁷ = (1/2)ⁿ¯¹

Cancel 1/2 from both side

7 = n – 1

Collect like terms

7 + 1 = n

n = 8

Thus, the number of terms is 8

Finally, we shall determine the sum of the series as follow:

First term (a) = 512

Common ratio (r) = 1/2

Number of term (n) = 8

Sum of 8th term (S₈) = ?

Sₙ = a[1 – rⁿ] / 1 – r

S₈ = 512 [1 – (½)⁸] / 1 – ½

S₈ = 512 [1 – 1/256] ÷ ½

S₈ = 512 [255/256] × 2

S₈ = 2 × 255 × 2

S₈ = 1020

Thus, the sum of the series is 1020.

Answer:

Look at image

Step-by-step explanation:

image shown below, copy the answer from there.

The value of coefficient k is 5. The required values are y = 15.5 when x = 3.1, y = 12.5 when x = 2.5, y = 6 when x = 1.2, y = 4.5 when x = 0.9, x = 0.06 when y = 0.3, and x = 0.02  when y = 0.1.

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

The direct proportion y = kx is given in the shown table.

Find the coefficient k, and fill in the table:

As per the question, we have

y = kx    .....(i)

To  determine the value of k, we substitute the value of x = 0.14 and y  = 0.7 in equation (i),

⇒ 0.7 = k (0.14)

⇒ k = 0.7/0.14

⇒ k = 5

Substitute the value of k = 5 in equation (i), and we get

y = 5x   .....(ii)

Now, we are finding the values of the table,

Substitute the value of x = 3.1 in equation (ii), and we get

y = 5(3.1)

y = 15.5

Similarly, the other required values are

y = 12.5 when x = 2.5, y = 6 when x = 1.2, y = 4.5 when x = 0.9, x = 0.06 when y = 0.3, and x = 0.02  when y = 0.1.

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After simplification of the given expression, the resultant answer is (B) −3.03u + (−8).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

It's possible to multiply, divide, add, or subtract with this mathematical operation.

Keep in mind that terms can be coefficients, constants, or variables. So, 1+1 is a straightforward example of an expression.

This equation has one operation, two constant terms, and (addition). x3 is another illustration.

So, the given expression is:

(4.57u − 14) − (−6 + 7.6u)

Then, solve as follows:

4.57u - 14 - ( -6 + 7.6u)

4.57u - 14 + 6 - 7.6u

4.57u - 7.6u = -3.03u AND -14 + 6 = -8

-3.03u - 8 (or -3.03u + (-8) )

Therefore, after simplification of the given expression, the resultant answer is (B) −3.03u + (−8).

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Correct question:

Simplify the expression.

(4.57u − 14) − (−6 + 7.6u)

A. −3.03u + (−20)

B. −3.03u + (−8)

C. 12.17u + (−20)

D. 12.17u + (−8)

The time when Hank's Movers will cost less is the point when the total charges is both Movers are Equal, the time is at 3 hours

Given Data

For Acme, the expression for the total charges is

Total = 45+40x ----------1

For Hank, the expression for the total charges is

Total = 55x ----------------2

Equating both expressions we have

45+40x = 55x

collect like terms

45 = 55x-40x

45 = 15x

divide both sides by 15

x = 45/15

x = 3 hours

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Answer:

A

Step-by-step explanation:

The equation of line is y= -4x -23

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. 

The slope of the line is the ratio of the rise to the run, or the rise divided by the run, therefore the change in y coordinate with regard to the change in x coordinate may be expressed as follows. In the coordinate plane, it describes the slope of the line.

Given:

We can take the coordinates from the given graph as (0, 3) and (2, -5)

Now, the slope = (-5 - 3)/ (2 - 0)

slope= -8/ 2

slope= -4

Now, using the point- slope form

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

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

y+3 = -4(x+5)

y+ 3= -4x - 20

y= -4x -23

Hence, the equation of line is y= -4x -23.

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To simplify the expression \(\displaystyle\sf 5x-3(-5y+6x)+4y\), we can follow the order of operations, which involves simplifying the expressions within parentheses, applying the distributive property, and combining like terms.

Using \(\displaystyle\sf \) tags for formatting, the expression becomes:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

First, we simplify the expression within the parentheses:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

\(\displaystyle\sf 5x+15y-18x+4y\)

Next, we can combine the like terms:

\(\displaystyle\sf 5x-18x+15y+4y\)

\(\displaystyle\sf -13x+19y\)

Therefore, the simplified expression is \(\displaystyle\sf -13x+19y\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Part A: 3x + 36 = 180

Part B: x = 48

Step-by-step explanation:

A straight line is equal to 180 degrees. Knowing this, both 3x and 36 should be equal to 180. Write an equation:

3x + 36 = 180

Solve the equation:

3x + 36 = 180

Subtract 36 from both sides

3x = 144

Divide both sides by 3 to isolate the variable

x = 48

Check your work:

3(48) + 36 = 180

144 + 36 = 180

180 = 180

Correct

Answer:

1000 -x -y

Step-by-step explanation:

thats the equation that you can use as the answer, i bealive there must be like a part b, where you are now supposed to input the values

Answer:

-$0.16

Step-by-step explanation:

The expected value is the sum of the outcomes multiplied by their probabilities.

E(X) = 1/38 (+68) + 37/38 (-2)

E(X) = -0.16

Answer: -x² - x

Step-by-step explanation:

Given expression

(x² + x) - (2x + 2x²)

Expand parentheses

=x² + x - 2x - 2x²

Combine like terms

=(x² - 2x²) + (x - 2x)

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

Hope this helps!! :)

Please let me know if you have any questions

The value of the expression when m = 3 is 13/15. So option(2) is correct.

The equation is defined in its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, x + 3 = 4 is an equation, in which x + 3 and 4 are two expressions separated by an 'equal' sign.

Given the expression as shown below:

2/5 m - 1/3

If m is equal to 3, then the expression will be;

2/5(3) - 1/3

6/5 - 1/3

Find the LCM

6/5 - 1/3 = 3(6)-5/15

6/5 - 1/3 = 18-5/15

6/5 - 1/3 = 13/15

Therefore the value of the expression if m = 3 is 13/15

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Mathematical expressions with the form, where x is the base and n is the exponent, are called powers. In powers, the base is the integer or variable that is continually multiplied, and the exponent designates how many times to multiply the base by itself.

Exponents should be subtracted when dividing powers by the same base, according to the quotient rule. For instance, dividing h(6) by h(2) yields h(6-2) = h(4). A quick and simple technique to make the problem simpler is to subtract the exponents.

Use the Quotient of Powers Rule to reduce the number of terms when splitting like terms with exponents. According to this rule, to determine the solution while dividing terms with the same base, simply remove their exponents. The trick is to only take out exponents with matching bases.

This means that every number raised to the power of zero is one because it is simply the result of no numbers at all, which is the multiplicative identity, or 1.

Hence we made the clear conclusions.

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We have the appropriate response to the inquiry b) The polygon's area is 99 inch2.

A polygon is a two-dimensional, closed shape that is flat or plane and is bounded by straight sides. Its sides are not curled. The edges of a polygon are another term for its sides. The vertices (or angles) of a polygon are the places where two sides converge.

According to the diagram we have the following:

DP = 10 ₋ 4 ₋ 6inch EP = 12 ₋ 5 = 7inch

Area of rectangle = l x b

Area of Triangle = \(\frac{1}{2}\) x base x height

Area of polygon Area MBCD + Area AMPE + Area EPD = (5x10) + (4x27) + (\(\frac{1}{2}\)x7x6) .

= 50 + 28 + 21 = 99 inch²

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Answer:

c

Step-by-step explanation:

To find the x-intercept, we set y to 0 and solve for x:

0 = x + 8

x = -8

Therefore, the x-intercept is -8.

To find the y-intercept, we set x to 0 and solve for y:

y = 0 + 8

y = 8

Therefore, the y-intercept is 8.

Hopes this helps

Answer:

brain less or i hack ur acc to ban

Step-by-step explanation:

u cant report me because im hacker