a t-shirt at the mall has an origanal price of 35. if it is on sale for 30% off how much money will u save

Answer:

x = 6+5y

Step-by-step explanation:

x - 5y = 6

Add 5y to each side

x - 5y+5y = 6+5y

x = 6+5y

Answer:

x = 6 + 5y

Step-by-step explanation:

x - 5y = 6

Solve for x.

x - 5y = 6

Add 5y to both side

x - 5y + 5y = 6 + 5y

x = 6 + 5y

Answer:

392 and Overwatch I think

Step-by-step explanation:

Answer:

392 and overwatch, the other guy deleted his answer soo imma hop in here and put the answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

9000 is 60% of what number?

9000=0.6*X

9000/0.6=X

X=$15000

Answer:

slop is 0.5 and intercept of y is -3

Answer:

½ is the slope,-3 is the intercept

Step-by-step explanation:

now to find the slope and intercept

we use the equation,

y=mx + c

where m is the slope

and c is the y intercept

so we compare 4y=2x-12 to the equation

but we first have to make y the subject of the equation in the question – 4y is already the subject –

y=2x-12/4

y=2x/4 -3

comparing...

we see that m is 2/4=½ c= -3

Answer: 20x4−24x3+20x2

Step-by-step explanation:

when simplifying you first distribute the -4x^2. This will result in -24x^3, 20x^4, and 20x^2

Answer:

20 x^4 - 24 x^3 + 20 x^2 is the only correct answer however not the best simplification.

Step-by-step explanation:

Simplify the following:

-4 x^2 (-5 x^2 + 6 x - 5)

Hint:  Factor a minus sign out of -5 x^2 + 6 x - 5.

Factor -1 out of -5 x^2 + 6 x - 5:

-4 x^2×(-(5 x^2 - 6 x + 5))

Hint:  Multiply -4 and -1 together.

-4 (-1) = 4:

Answer:  4 x^2 (5 x^2 - 6 x + 5)

Answer: -4/7

Step-by-step explanation:

2/3 (1 + n ) = -1/2n

2/3 + 2/3n = -1/2n

Multiply both sides by 6

4 + 4n = -3n

4n + 3n = -4

7n = -4

Divide both sides by 7

n = -4/7

Answer:

Answer above its explained fully

the probability of experiencing neither side effect is 0.37 or 37%.let's denote the probability of experiencing nausea by P(n) and the probability of experiencing decreased sexual drive by P(d). We know that:

P(n) = 0.23
P(d) = 0.52
P(n ∩ d) = 0.12

We want to find the probability of experiencing neither side effect, which can be denoted by P(~n ∩ ~d), where ~n and ~d represent the complements of nausea and decreased sexual drive, respectively.

We can use the formula for the probability of the union of two events to find P(~n ∪ ~d):

P(~n ∪ ~d) = 1 - P(n ∪ d)

We know that P(n ∪ d) = P(n) + P(d) - P(n ∩ d), so we can substitute the given values to get:

P(n ∪ d) = 0.23 + 0.52 - 0.12 = 0.63

Therefore,

P(~n ∪ ~d) = 1 - 0.63 = 0.37

So the probability of experiencing neither side effect is 0.37 or 37%.

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Answer:

Point X

Step-by-step explanation:

Answer:

MP = 29

Step-by-step explanation:

5y + 9 = 3y + 17

2y = 8

y = 4

5(4) + 9 = 29

Answer:

The answer is a).

Step-by-step explanation:

$42.51 + $4.25 = $46.76

We have the, r = 5sinθ + 7cosθ. In order to find the length of the curve, we need to use a familiar formula from geometry.

A familiar formula from geometry is the formula for the length of an arc of a circle.

Let's start by first finding an expression for r².

\(We have,r = 5sinθ + 7cosθr² = (5sinθ + 7cosθ)²= 25sin²θ + 49cos²θ + 70sinθcosθ\)

\(Now, using the formula for the length of an arc of a circle, we have:L = ∫[0,π]√(r² + (dr/dθ)²) dθ\)

\(Putting the value of r² in the above equation, we have:L = ∫[0,π]√(25sin²θ + 49cos²θ + 70sinθcosθ + (dr/dθ)²) dθ\)

\(Differentiating r w.r.t. θ, we get,dr/dθ = 5cosθ - 7sinθ\)

\(We put this value in the above equation to get, L = ∫[0,π]√(25sin²θ + 49cos²θ + 70sinθcosθ + (5cosθ - 7sinθ)²) dθ\)

\(Simplifying the above expression, L = ∫[0,π]√(74 + 60sinθcosθ) dθ\)

\(Using the trigonometric identity, 2sinθcosθ = sin2θ, we have:L = ∫[0,π]√(74 + 30sin2θ) dθ\)

\(Now, we can substitute sin2θ = (1/2)(1 - cos2θ) to get:L = ∫[0,π]√(119 - 45cos2θ) dθ\)

\(Let's use a substitution, u = cos2θdu = -2sin2θ dθ\)

To integrate the above expression, we need to have an extra factor of 2sin2θ which we can obtain using the substitution above.

\(Hence, we have:L = ∫[1,-1]√(119 - 45u) (-1/2sinθ) duL = (-1/2) ∫[1,-1]√(119 - 45u) / √(1 - u²) du\)

\(Using the substitution, u = cosθ, we have:L = (-1/2) ∫[0,π]√(119 - 45cosθ) d(cosθ)L = (-1/2) ∫[0,π]√(119 - 45cosθ) dθ [Since cosθ is a decreasing function in [0,π]]\)

\(Now, we have,L = (-1/2) [F(π) - F(0)] where F(θ) = (2/3)[119sinθ - 15cosθ√(119 - 45cosθ) + 45cosθsinθ]\)

\(Putting the limits, we get, L = (-1/2) [(2/3)[119sin(π) - 15cos(π)√(119 - 45cos(π)) + 45cos(π)sin(π)] - (2/3)[119sin(0) - 15cos(0)√(119 - 45cos(0)) + 45cos(0)sin(0)]]L = (2/3)[119 + 15√74] = 108.03 (approx)\)

We can verify our answer using the definite integral.

Let's first find an expression for ds², where ds is the infinitesimal length of the curve.

\(We have,ds² = dr² + r²dθ² = (5cosθ - 7sinθ)²dθ² + (5sinθ + 7cosθ)²dθ²ds² = 74 + 60sinθcosθdθ²\)

\(Using this, we have, Area = ∫[0,π] ds = ∫[0,π] √(74 + 60sinθcosθ) dθ\)

This is the same integral that we obtained earlier.

Hence, the area is 108.03 (approx).

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The length of the curve is indeed \(\(\sqrt{74}\pi\)\), which matches our earlier result.

To find the length of the curve described by the polar equation

\(\(r = 5\sin(\theta) + 7\cos(\theta)\)\),

where \(\(0 \leq \theta \leq \pi\)\), we can use a familiar formula from geometry known as the arc length formula for polar curves.

The arc length formula for a polar curve is given by:

\($\[S = \int_{\theta_1}^{\theta_2} \sqrt{r^2 + \left(\frac{{dr}}{{d\theta}}\right)^2} d\theta\]\)

In this case, we have

\(\(r = 5\sin(\theta) + 7\cos(\theta)\)\)

so we need to calculate \(\(\frac{{dr}}{{d\theta}}\)\)

Differentiating (r) with respect to \(\(\theta\)\), we get:

\(\[\frac{{dr}}{{d\theta}} = \frac{{d}}{{d\theta}}(5\sin(\theta) + 7\cos(\theta))\]\)

\(\[= 5\cos(\theta) - 7\sin(\theta)\]\)

Now, we can substitute the values into the arc length formula:

\($\[S = \int_{0}^{\pi} \sqrt{(5\sin(\theta) + 7\cos(\theta))^2 + (5\cos(\theta) - 7\sin(\theta))^2} d\theta\]\)

Simplifying the expression inside the square root:

\(\[(5\sin(\theta) + 7\cos(\theta))^2 + (5\cos(\theta) - 7\sin(\theta))^2\]\)

\(\[= 25\sin^2(\theta) + 70\sin(\theta)\cos(\theta) + 49\cos^2(\theta) + 25\cos^2(\theta) - 70\sin(\theta)\cos(\theta) + 49\sin^2(\theta)\]\)

\(\[= 74\sin^2(\theta) + 74\cos^2(\theta)\]\)

\(\[= 74(\sin^2(\theta) + \cos^2(\theta))\]\)

\(\[= 74\]\)

Now, the integral becomes:

\($\[S = \int_{0}^{\pi} \sqrt{74} d\theta\]\)

Since \(\(\sqrt{74}\)\) is a constant, it can be moved outside the integral:

\($\[S = \sqrt{74} \int_{0}^{\pi} d\theta\]\)

Evaluating the integral:

\($\[S = \sqrt{74} [\theta]_{0}^{\pi}\]\)

\(\[S = \sqrt{74} (\pi - 0)\]\)

\(\[S = \sqrt{74}\pi\]\)

Therefore, the length of the curve described by the polar equation

\(\(r = 5\sin(\theta) + 7\cos(\theta)\) from \(\theta = 0\) to \(\theta = \pi\) is \(\sqrt{74}\pi\)\)

Confirming using the definite integral:

\($\[S = \int_{0}^{\pi} \sqrt{74} d\theta = \sqrt{74} [\theta]_{0}^{\pi} = \sqrt{74}(\pi - 0) = \sqrt{74}\pi\]\)

So, the length of the curve is indeed \(\(\sqrt{74}\pi\)\), which matches our earlier result.

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The open interval where A(t) is increasing is (0.087, 41.288).

To find where A(t) is increasing, we need to examine the derivative of A(t) with respect to t. Taking the derivative of A(t), we get A'(t) = 0.00008523t² - 0.009t + 0.0514.

To determine where A(t) is increasing, we need to find the intervals where A'(t) > 0. This means the derivative is positive, indicating an increasing trend.

Solving the inequality A'(t) > 0, we find that A(t) is increasing when t is in the interval (approximately 0.087, 41.288).

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Answer:

Ax + By = C is standard form.

y + 1 = (2/3)(x - 8)

distribute the (2/3)

y + 1 = (2/3)x - (16/3)

Multiply each term by 3 to clear the fractions.

3y + 3 = 2x - 16

Subtract 2x from both sides.

-2x + 3y + 3 = - 16

Subtract 3 from both sides.

-2x + 3y = - 19

Correct form typically has the leading coefficient as a positive number so multiply each term by - 1.

2x - 3y = 19

Step-by-step explanation:

Answer:

The answer is 2x + -3y = 19

Step-by-step explanation:

got it right on edge

Answer:

Step-by-step explanation:

\(area = \frac{1}{2} b \times h \\ area = \frac{1}{2} (10)(5) \\ area = 5 \times 5 \\ area = 25 \: {in}^{2} \)

I hope that is useful for you

The rate of change of the cost in dollars with respect to the number of square feet is; 2.5 dollars per square feet.

The function given, y = 5.75 + 2.5(x - 2) can be rewritten so as to resemble the equation of a straight line in slope-intercept form.

Consequently, the slope, m represents the rate of change of the cost in dollars with respect to the number of square feet.

The function y = 5.75 + 2.5(x - 2) on expansion then becomes;

where, 2.5 is the slope and consequently, represents the rate of change of the cost in dollars with respect to the number of square feet.

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Answer:

$1440

Step-by-step explanation:

$3000 (12%) = 360

360 x 4 = 1440

Hope this helps!

Answer:

59

Step-by-step explanation:

3^3=27

2x27=54

27+54+5=59

Answer:

2 times 3 i 6 o 3 plus 5 equal 8

Step-by-step explanation:

beca you supoed to multiply ad divide

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's evaluate ~

As the denominator of both the terms is same, we can simply perform subtraction on numerator.

That is :

\(\qquad \sf  \dashrightarrow \: \dfrac{a - 2}{ {a}^{2} + 7a + 6 } - \dfrac{5a - 6}{ {a}^{2} + 7a + 6 } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{a - 2 - (5a - 6)}{ {a}^{2} + 7a + 6 } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{a - 2 - 5a + 6}{ {a}^{2} + 7a + 6 } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{ - 4a + 4}{ {a}^{2} + 7a + 6 } \)

Answer:

-4a + 4/ a^2 + 7a +6

hi

You have two points     A ( X;Y)  and B ( X ; Y)

 slope is   :    ( Yb -Ya)   / (Xb -Xa )

(3 - (-13) ) / ( 7 - 9)  =    (3 +13)  /  -2 =   16/-2  =  - 16/2 = -8  

slope is  -8

Answer:

-8

Step-by-step explanation:

The slope formula is as follows:

m = y2 - y1 / x2 - x2

You would first plug in the points into the formula, and this is what you would get:

m = 3 - (-13) / 7 - 9

From there, because of additive inverse, the negative signs would become + signs.

m = 3 + 13 / 7 - 9

You would now add/subtract.

m = 16 / -2

And lastly, you would simplify.

m = 8/-1

8/-1 is the same thing as a slope of -8.

The function f(x) is: neither old nor even

Trigonometric functions can be categorized as odd, even, or neither odd nor even based on their symmetry properties. Let's analyze each category:

Odd Functions: An odd function satisfies the condition f(-x) = -f(x) for all values of x. This means that if we reflect the graph of the function across the y-axis, it remains unchanged. In other words, the function is symmetric with respect to the origin (0,0).

Examples of odd trigonometric functions include sine (sin(x)) and tangent (tan(x)). When you plug in -x into these functions, you'll get the negation of the function's value at x.

Even Functions: An even function satisfies the condition f(-x) = f(x) for all values of x. This means that if we reflect the graph of the function across the y-axis, it remains unchanged. In other words, the function is symmetric with respect to the y-axis.

An example of an even trigonometric function is the cosine function (cos(x)). When you plug in -x into the cosine function, you'll get the same value as when you plug in x.

Neither Odd nor Even: Some trigonometric functions do not exhibit either odd or even symmetry. These functions do not satisfy the conditions for odd or even functions. Examples of trigonometric functions that are neither odd nor even include secant (sec(x)), cosecant (csc(x)), and cotangent (cot(x)). When you plug in -x into these functions, you won't get the negation or the same value as when you plug in x.

Therefore, the trigonometric functions can be categorized as odd, even, or neither odd nor even, depending on their symmetry properties.

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Answer:

(5, 3)

Step-by-step explanation:

\(x = 17 - 4y \\ y = x - 2\)

Substitute x into y:

\(y = (17 - 4y) - 2 \\ y = 15 - 4y \\ y + 4y = 15 \\ 5y = 15 \\ y = 3\)

Substitute y into x:

\(y = x - 2 \\ 3 = x - 2 \\ 3 + 2 = x \\ x = 5\)

Therefore your answer is (5, 3).

Answer:

The Answer To Your To Your Question Is SAS (Side-Angle-Side) Theroem

Answer:

Side angle side Theorem

Step-by-step explanation:

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

The measurement of angle 5 is 101 degrees. This result is obtained by applying the properties of parallel lines and corresponding angles, as well as the fact that angles on a straight line add up to 180 degrees.

In the given figure, we have two parallel lines intersected by a transversal. When two parallel lines are cut by a transversal, the corresponding angles are congruent. Therefore, angle 6 is equal to 79 degrees.

Since angle 5 and angle 6 are situated on the same line, they form a linear pair, which means their sum is 180 degrees. By substituting the value of angle 6 as 79 degrees into the equation, we can solve for angle 5:

angle 5 + 79 degrees = 180 degrees

Subtracting 79 degrees from both sides, we get:

angle 5 = 180 degrees - 79 degrees

Simplifying, we find:

angle 5 = 101 degrees

Thus, the measurement of angle 5 is 101 degrees. This result is obtained by applying the properties of parallel lines and corresponding angles, as well as the fact that angles on a straight line add up to 180 degrees.

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The correct answer using the correct number of significant figures is 21.9.

To determine the correct answer with the appropriate number of significant figures, we need to consider the rules for significant figures.cThe result should be rounded to the fewest number of decimal places in any of the supplied integers whether adding or subtracting numbers.

In this case, the numbers being added have varying decimal places. 13.7 has one decimal place, 0.027 has three decimal places, and 8.221 has three decimal places.

To add these numbers, we align the decimal points and sum the values: 13.7 + 0.027 + 8.221 ------- 21.948

To follow the rule for significant figures, the least number of decimal places is one (from 13.7).

Therefore, the answer should be rounded to one decimal place.

Hence, the correct answer using the correct number of significant figures is 21.9.

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John will earn an annual interest of $500 on a beginning balance of $10,000 at a rate of 5% per year. After one year, the ending balance will be $10,500. John earned $160 in interest after leaving his initial deposit of $8,000 in the bank for first year with annual compounding at a 2% interest rate. His ending balance was $8,160. The table shows his ending balance for years 5-10.

We can use the formula for simple interest to calculate the annual interest earned by John on a balance of $10,000 at a rate of 5% per year

Annual interest = (Principal x Rate x Time) / 100

where Principal is the beginning balance, Rate is the interest rate, and Time is the duration of investment in years.

Substituting the given values, we get

Annual interest = (10000 x 5 x 1) / 100 = $500

Therefore, the annual interest earned by John on a balance of $10,000 at a rate of 5% per year is $500.

Ending balance after one year = Beginning balance + Annual interest = $10,000 + $500 = $10,500.

since the term of the annual CD is four years, and John will leave his money in the bank for four years, we can calculate the ending balance at the end of each year using the formula above.

For year 5

P = $8,160

r = 0.02

n = 1

t = 1

A = $8,160 (1 + 0.02/1)^(1x1) = $8,324.80

For year 6

P = $8,324.80

r = 0.02

n = 1

t = 1

A = $8,324.80 (1 + 0.02/1)^(1x1) = $8,492.78

For year 7

P = $8,492.78

r = 0.02

n = 1

t = 1

A = $8,492.78 (1 + 0.02/1)^(1x1) = $8,664.28

For year 8

P = $8,664.28

r = 0.02

n = 1

t = 1

A = $8,664.28 (1 + 0.02/1)^(1x1) = $8,839.44

For year 9

P = $8,839.44

r = 0.02

n = 1

t = 1

A = $8,839.44 (1 + 0.02/1)^(1x1) = $9,018.34

For year 10

P = $9,018.34

r = 0.02

n = 1

t = 1

A = $9,018.34 (1 + 0.02/1)^(1x1) = $9,201.05

Therefore, the table for years 5 through 10 would look like

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Answer: x < 4

Step-by-step explanation: You are trying to isolate the variable, x, so you have to subtract 1 on both sides of the inequality. Then, you are left with x < 4.