(1/2u+10v)^2
pls give me step by step

Answer:

80%p=d

Step-by-step explanation:

20% discount is 80% of original.

An equation for the relationship between the discount price of an item, d, and it's original price, p is p = 0.8d.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

A store is offering a 20% discount on all items.

Let the discount price of an item, d, and it's original price, p.

The original price = (100 - 20%)discount price

p = 80%d

p = 0.8d

Therefore, p = 0.8d is the required equation.

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Answer:

Step-by-step explanation:

False. The statement is incorrect. The sign of the b1 value in a linear equation does not determine the positivity or negativity of the y-intercept.

In a linear equation of the form y = b0 + b1x + e, where b0 is the y-intercept and b1 is the coefficient of the x variable, the sign of the b1 value is related to the slope of the line. A negative b1 value indicates a negative slope, meaning the line is decreasing as x increases. However, it does not provide information about the positivity or negativity of the y-intercept. The y-intercept (b0) represents the value of y when x is equal to zero. Its sign is independent of the b1 value. The y-intercept can be positive, negative, or zero, depending on the specific values of b0 and the relationship between x and y. For example, consider the linear equation y = 2 - 3x. Here, the b1 value is -3, indicating a negative slope. However, the y-intercept is 2, which is positive. This means that when x is zero, the value of y is 2.

Similarly, if we have y = -4 + 2x, the b1 value is positive (2), representing a positive slope. However, the y-intercept is -4, which is negative. In this case, when x is zero, y is -4. Therefore, the sign of the b1 value does not determine the positivity or negativity of the y-intercept. The y-intercept is determined by the specific value of b0 in the linear equation.

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An equation is formed of two equal expressions. Felipe is paying $6 more each month.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation that represents Felipe's payment per month is given as y=-30+290, therefore, the amount that Felipe pays every month is the gradient of the line slope of the equation y=-30+290 which is 30.

Similarly, the graph showing Samantha's payment, the slope will be,

m = (y₂-y₁)/(x₂-x₁) = (240-0)/(0-10) = -24

Thus, we can conclude that Felipe is paying $6(30-24)more each month, because the amount paid by Felipe is 30, while the amount paid by Samantha is 24.

Hence, Felipe is paying $6 more each month.

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The statement is true.Since all three equations represent a circle with radius 5 centered at the origin (0,0), they have the same graph.

Let's analyze each equation:

r = 5: This equation represents a circle with radius 5 centered at the origin (0,0). The points on this circle satisfy the equation x^2 + y^2 = 5^2 = 25.

x^2 + y^2 = 25: This equation also represents a circle with radius 5 centered at the origin (0,0). Any point that satisfies this equation lies on the circle with radius 5.

x = 5sin(3t), y = 5cos(3t): These equations represent parametric equations for a circle with radius 5 centered at the origin (0,0). The parameter t varies from 0 to 2π, tracing the entire circumference of the circle.

The x-coordinate is given by x = 5sin(3t), and the y-coordinate is given by y = 5cos(3t). As t varies from 0 to 2π, the point (x, y) traces the circle with radius 5.

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Answer:

X= 4

Step-by-step explanation:

28 = 4(x+3)

7 = x+3

x = 4

x=4

All sides of a square are the same

28/4 is 7

x+3=7

x=4

The theatre sold 178 adult tickets and 261 children tickets for the play.

It is given that the total number of seats is 439 seats.

There are two types of tickets available- children and adults.

The price for adult tickets is $48 and that for children is $28.

Let the number of adult tickets sold be x

Let the number of children's tickets sold be y.

The show was a sold-out

Hence,

x + y = 439                                 [1]

48x + 28y = 15852                    [2]

From equation [1] we get

x = 439 - y

putting this result in equation [2] gives us

48(439 - y) + 28y = 15852

or, 21072 - 48y + 28y = 15852

or, -20y = - 5220

or, y = -5220/ -20

or, y = 261

Therefore,

x + 261 = 439

or, x = 439 - 261

or, x = 178

Hence, 178 adult tickets were sold and 261 children's tickets were sold.

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Answer:

5x^3y^3

Step-by-step explanation:

Multiply x^2 by x by adding the exponents

The sum of the measures of the angle of a triangle is 180 degrees.

The given triangle is a type of triangle and the type of triangle a scalene triangle.

For a scalene triangle, the measure of the three sides are unequal and the sum of the interior angle of a triangle is 180 degrees.

Hence the measure of the angles <A, <B and <C are all less than 90 degrees since they are all acute angles.

We can therefore conclude that:

m<A + m<B + m<C = 180 degrees

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\((5)(5)+(3)(0)=\boxed{25}\)

Using complementary angles, it is found that the solution to the trigonometric equation is of x = 20.

Complementary angles are two angles whose measures add to 90º.

If two angles a and b are complementary, we have that the sine of one is the cosine of other, that is:

\(\sin{a} = \cos{b}\)

In this problem, the equation is:

\(\sin{(2x)} = \cos{(x + 30)}\)

Hence, they are complementary, which means that:

\(2x + x + 30 = 90\)

\(3x = 60\)

\(x = \frac{60}{3}\)

\(x = 20\)

The solution to the trigonometric equation is of x = 20.

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Answer:

DA MIDDLE LINE. 6

Answer:

2.25 liters of lemon juice

Step-by-step explanation:

\(\frac{7.2}{1.8} =\frac{9}{x} \\\\7.2x=16.2\\x= 2.25\)

Answer:

no hay imagen

theres no picture

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

c

Step-by-step explanation:

because I have the same thing

The value of a and b are 1 and -8 respectively.

Quadratic expressions are polynomial expressions of second degree.

The general form of a quadratic expression is ax² + b x + c.

The given quadratic expression is x² + 2x - 7.

We have to write this in the form (x + a)² + b.

We have the algebraic identity a² + 2ab + b² = (a + b)²

x² + 2x - 7 = x² + 2x - 7 + 1 - 1

                 = (x² + 2x + 1) - 7 - 1

                 = (x + 1)² - 8, which is in the form (x + a)² + b.

a = 1 and b = -8

Hence the value of a is 1 and the value of b is -8.

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The total area of the shaded region is solved to be 154.93 cm²

The diameter is solved using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

x² = 8² + 15²

x² = 289

x = √289

x = 17

Work out the area of the triangle using the formula

= 1/2 *  base * height

base = hypotenuse or diameter

height = radius = diameter/2

= 0.5 * 17 * 8.5

= 72.25 cm²

Area of the circle

= Π * radius²

= 22/7 * 8.5²

= 226.98 cm²

shaded portion

= Area of the circle - area of the triangle

= 226.98 - 72.25

= 154.93 cm²

the area of the shaded portion is 154.93 cm²

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Answer:

second is obtuse angle .

Step-by-step explanation:

5. 160°

6. 120°

[im not sure what they're asking for but if its degree then this is the answer]

Answer:

1000.

Step-by-step explanation:

The Value of the 2 in 204.75, is 200.

The Value of the 2 in 103.52 is 0.02.

So to make the 0.02 become 200, you have to move the decimal point 3 spaces to the right.

Therefore, the 2 in 204.75 is 1000 times greater than the value of the 2 in 103.52.

I hope this helps!

Answer:

y = -7x - 4

Step-by-step explanation:

Slope m = -7

Given (0,-4)

y = mx + b

-4 = -7(0) + b

b = -4

y = -7x - 4

Answer:

D: (1 + x) f[x] == 3

R: x < -1 || x > -1

Step-by-step explanation:

To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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The number line for the set of jump distances to make a new record.

Option B is the correct answer.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

The school record in the long jump = 518 cm

Now,

To make a new record the set of jump distances should be greater than 518 cm.

To represent the set of jump distances on a number line we can not have a black dot on 513 on the number line.

The dot should be an open dot.

Thus,

Option B is the number line for the set of jump distances to make a new record.

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Work Shown:

T = tens digit

U = units digit (aka ones digit)

A number like 27 is really 20+7 = 2*10 + 7*1 = 10*2 + 1*7. We have 2 in the tens digit and 7 in the units digit. So 27 can be written in the form 10T + U where T = 2 and U = 7. Reversing the digits gives 72, so T = 7 and U = 2 now. Clearly the difference between the digits 7 and 2 is not 1, so 27 or 72 is not the answer (as it's just an example).

-----------------------

Let T be larger than U. This doesn't work if T = U.

Because T is larger, saying "The difference between the digits is 1" means T - U = 1. We can isolate T to get T = U+1. We'll use this later.

-----------------------

If T > U, then the original number 10T+U reverses to the new number 10U+T and it becomes smaller. We are told that it becomes 5/6 of what it used to be.

So,

new number = (5/6)*(old number)

10U + T = (5/6)(10T + U)

6(10U + T) = 5(10T + U)

60U + 6T = 50T + 5U

60U + 6(U+1) = 50(U+1) + 5U ... plug in T = U+1

60U + 6U + 6 = 50U + 50 + 5U

66U + 6 = 55U + 50

66U - 55U = 50-6

11U = 44

U = 44/11

U = 4 is the units digit of the original number

T = U+1

T = 4+1

T = 5 is the tens digit of the original number

The original number is therefore 10T + U = 10*5+4 = 54.

We see the difference in their digits is T-U = 5-4 = 1

The reverse of 54 is 45. The number 45 is 5/6 of 54

45 = (5/6)*54