Give the property that justifies each step.3(y+5)=2(25-y) Given3y +15=50-2y5y +15=505y = 35y=7:: Addition Property of Equality :: Subtraction Property of Equality :: Multiplication Property of Equality:: Division Property of Equality :: Simplify. :: Distributive Property&

Answer:

it is too blury to read

Step-by-step explanation:

Answer:

B is greater than A by 1/4 of A

Step-by-step explanation:

Let's use the information given in the problem to write expressions for the values of a and b:

a = b - (1/5)b = (4/5)b

b is greater than a by the difference:

b - a = b - (4/5)b = (1/5)b

To express this difference as a fraction of a, we divide by a:

(b - a)/a = ((1/5)b)/((4/5)b) = 1/4

Therefore, b is greater than a by 1/4 of a.

to get the equation of any straight line, we simply need two points off of it, let's use those two in red in the picture below

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{12}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{12}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{ 6 }{ 2 } \implies 3\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ 3}(x-\stackrel{x_1}{1}) \\\\\\ y-6=3x-3\implies {\Large \begin{array}{llll} y=3x+3 \end{array}}\)

Answer: 5/24

Step-by-step explanation:

(-2/3)+(7/8)=

(-2/3)+(7/8)*24/24=        ==> 24 is the LCM of 3 and 8

\(\frac{(-2*24)/3+(7*24)/8}{24}\)=

\(\frac{-2*24/3+7*24/8}{24}\)=

\(\frac{-2*8+7*3}{24}\)=

\(\frac{-16+21}{24}\)=5/24

Onto but not one-to-one. is f(x)  which is obtained by removing the second bit from x and placing the bit at the end of the string.

The function f is said to be "onto" because it maps every element in its codomain (the set of possible output values) to at least one element in its domain (the set of possible input values). In this case, the codomain is the set of all binary strings of length 3, and the domain is the set of all binary strings of length 2. However, the function is not one-to-one, because there are multiple elements in the domain that are mapped to the same element in the codomain. For example, both "10" and "01" are mapped to "100". This means that the function f is not one-to-one, meaning that it doesn't map every element in its domain to a unique element in its codomain. A function is said to be one-to-one if every element in its domain (the set of possible input values) is mapped to a unique element in its codomain (the set of possible output values). In other words, no two elements in the domain have the same image (output) under the function. A function is said to be onto if every element in the codomain is mapped to by at least one element in the domain. In other words, every element in the codomain has at least one pre-image (input) under the function. In the case of the function f described in the previous question, it is onto because every binary string of length 3 can be obtained as the output of the function for some binary string of length 2. However, it is not one-to-one because there are multiple binary strings of length 2 that are mapped to the same binary string of length 3. For example, both "10" and "01" are mapped to "100".

So, the function f is described as "onto but not one-to-one".

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The probability that it weighs more than 51 pounds exactly 53 pounds.

Given that, mean weight of 50 pounds and a standard deviation of 0.5 pounds.

We need to find the probability that it weighs more than 51 pounds,

P(X = 53) = 0

z = (51 - 50) / 0.5 = 2.00

P(X > 51) = P(z > 2.00) = 0.0228

z1 = (49 - 50) / 0.5 = -2.00

z2 = (51 - 50) / 0.5 = 2.00

P(49 < X < 51) = P(-2.00 < z < 2.00) = P(z < 2.00) - P(z < -2.00) = 0.9772 - 0.0228 = 0.9544

Hence, the probability that it weighs more than 51 pounds exactly 53 pounds.

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Answer:

$300 debit to Advertising Expense

Step-by-step explanation:

Answer:

  -1/2

Step-by-step explanation:

You want to know the exact value of sin(-5π/6).

The reference angle is the smallest angle its terminal side makes with the x-axis. The angle -5π/6 is a 3rd-quadrant angle, whose reference angle is ...

  -5π/6 +π = π/6

You know that the signs of the sine and cosine trig functions are negative in the 3rd quadrant. Since you have memorized the short table of trig functions (first attachment), you know the value you're looking for is ...

  sin(-5π/6) = -sin(π/6) = -1/2

__

Additional comment

The second attachment shows the functions that are positive in the different quadrants. The ones not listed are negative.

The third attachment shows the coordinates on the unit circle as (cos, sin). The angle 7π/6 is the same as the angle -5π/6.

The fourth attachment shows you can put your calculator in radian mode and have it tell you the answer.

The answer is 41 because all of the them are in the 7 times table .so I deducted 2 from each one of them and 41 was not part

Answer:

$25 - $22 = $3

3b x $3 = $9

$25 - $9 = $16

$16 / 4st = $4

One soft taco (st) costs $4.

One burrito (b) costs $3.

Step-by-step explanation:

If you order 4 soft tacos and 3 burritos, and your friend orders 4 soft tacos and 2 burritos then the difference is in the burritos. $25 - $22= $3. One burrito would cost $3 then. So if you ordered 3 burritos (b) that would be 3b x $3 = $9. So then $25 - $9 = $16, you would have spent $16 on 4 soft tacos (st). So $16 / 4st  = $4. One soft taco would cost $4. Of course this is assuming there is no tax, and since no country in which state/province tax would be applied is mentioned, this would be a flat rate.

After throughfall calculating the multiplication 4505 x 219 in standard algorithm, we have come to find that product is 986595

In elementary math, a standard algorithm or method is a particular computation technique that is typically taught for resolving particular mathematical issues. In general, these techniques include exchanging, regrouping, long division, long multiplication using a standard notation, and standard formulas for average, area, and volume.

These techniques can vary somewhat by country and time, but they typically include these techniques. Similar techniques are also available for more complex functions like square roots, but they are no longer taught in general mathematics classes because calculators are more convenient.

4505 x 219 in standard algorithm is as follows:

⇒        4 5 0 5

         ×    2 1 9              

        4 0 5 4 5    

    +  4 5 0 5        

  + 9 0 1 0        

     9 8 6 5 9 5

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Answer:

no it is not

Step-by-step explanation:

The left side −5-5 is less than the right side 14 14, which means that the given statement is false.

False

Answer:

65

Step-by-step explanation:

Angle A=70

Angle B=180-135=45.

70+45=115. A triangle has 180 degrees.

Angle C=180-115=65

Hope I helped!

Answer: Rational

Step-by-step explanation: Only numbers that go on infinitely like pi or the square root of 7 are irrational

Answer:

x = -1

Step-by-step explanation:

7^(3x+7) = 7^(-8x-4)

First Step: Cancel out like bases.

3x + 7 = -8x - 4

Second Step: Add 8x on both sides.

11x + 7 = -4

Third Step: Subtract 7 on both sides.

11x = -11

Fourth Step: Divide by 11 on both sides.

x = -1

The distance between point P and line L is 16/9√(13).

To find the distance between point P and line L, we can use the formula for the distance between a point and a line in two-dimensional space. The formula is as follows:

Let P = (x1, y1) be the point and L be the line ax + by + c = 0. Then the distance between P and L is:

|ax1 + by1 + c|/√(a² + b²)

To find a, b, and c for the given line, we need to put it in slope-intercept form y = mx + b by solving for y.

2x - 3y = 12=> 2x - 12 = 3y=> (2/3)x - 4 = y

The slope of the line, m, is the coefficient of x, which is 2/3. Therefore, the line is:

y = (2/3)x - 4The values of a, b, and c are: a = 2/3b = -1c = -4

Now we can substitute the coordinates of P and the values of a, b, and c into the formula for the distance between a point and a line.

Let P = (3, 5).|a(3) + b(5) + c|/√(a² + b²)= |(2/3)(3) - 1(5) - 4|/√[(2/3)² + (-1)²]= |-4/3 - 4|/√(4/9 + 1)= 16/9√(13).

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Answer:

The function f(x,y) = x^2 + y^2 represents the equation of a paraboloid with its vertex at the origin. Since the function increases as we move away from the origin, there are no maximum points, but there is a minimum point at the origin.

To find this minimum point, we can take the partial derivatives of f(x,y) with respect to x and y, and set them equal to zero:

df/dx = 2x = 0

df/dy = 2y = 0

Solving these equations simultaneously gives us x = 0 and y = 0, which is the only critical point of the function. To determine whether this point is a minimum or maximum, we can use the second partial derivative test.

Taking the second partial derivatives, we have:

d^2f/dx^2 = 2

d^2f/dy^2 = 2

d^2f/dxdy = 0

At the point (0,0), both second partial derivatives are positive, which indicates that the point is a minimum. Therefore, the function f(x,y) = x^2 + y^2 has a minimum value of 0 at the point (0,0).

2x + 3x + 140 = 360 (being complete turn angle)

5x + 140 = 360

5x = 360-140

5x = 220

x = 44

now 2x = 2 × 44 = 88

3x = 3 × 44 = 132

\(\\ \sf\longmapsto m=3\)

\(\\ \sf\longmapsto \dfrac{r-4}{-4+6}=3\)

\(\\ \sf\longmapsto \dfrac{r-4}{2}=3\)

\(\\ \sf\longmapsto r-4=6\)

\(\\ \sf\longmapsto r=6+4\)

\(\\ \sf\longmapsto r=10\)

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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Answer: the width is 29 feet and the length is 37

Step-by-step explanation:

Answer:

28.53

Step-by-step explanation:

Hope this helps please for the brainliest

The decimal would be 28.53

Answer:

if y=60 then x=5

Step-by-step explanation:

im in college Algebra if you need help just ask

There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5  number of wins. Causation cannot be established because their relationship was not in a controlled setting.

When if a relationship between two variables is said to be  negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.

Therefore, even though  the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.

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The value of y is 13√2 (optionB)

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Sin(tetha) = opp/hyp

cos (tetha) = adj/hyp

tan(tetha) = opp/adj

therefore cos 45 = 13/y

1/√2 = 13/y

y = 13√2

therefore the value of y is 13√2

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Answer:

84.13% of the printing jobs will be acceptable.

The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.

The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.

The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.

To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.

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Answer:

Step-by-step explanation:

The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.

To find the equation of the line, we need to find the slope, which can be calculated using the formula:

m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.

In this case, the coordinates are:

P = (-3, 2) and Q = (5, 7)

So, the slope is:

m = (7 - 2) / (5 - (-3)) = 5 / 8

Next, we can use either of the points to find the y-intercept. Let's use point P:

b = y - mx, where y and x are the y and x coordinate of the point, respectively.

In this case,

b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8

So, the equation of the line joining the points P and Q is:

y = (5/8)x + 89/8

Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.

So, we have:

0 = (5/8)x + 89/8

Solving for x, we get:

x = -(89/8) / (5/8) = -89 / 5

This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.

Let's call the point of intersection with the y-axis R. The distances are then:

PR = (3, 2) and QR = (5 - (-89/5), 7)

The ratio of the distances is then:

PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47

So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.