Compare the rates to find which is greater.
45 points in 36 hours or 18 points in 15 hours
The unit rate for 45 points in 36 hours is
rate for 45 points in 36 hours is

The statement "the sum of a two-digit number is less than the value of the original two-digit number" can be rewritten as conditional statement. If the sum of two digits of a two-digit number is less than the value of the original two-digit number, the number is valid.

A conditional statement, "if p, then q," with p representing the hypothesis and q representing the conclusion. We can identify the hypothesis and conclusion by rewriting the statement "the sum of the digits of a two-digit number is less than the value of the original two-digit number" as an if-then conditional statement.

The hypothesis is the condition that must be satisfied in order to valid the conclusion. In this case, the hypothesis is "the sum of the digits of a two-digit number is less than the value of the original two-digit number".

By combining these, we can rewrite the statement as follows:

If the sum of a two-digit number's digits is less than the value of the original two-digit number, the number is valid.

The hypothesis (the sum of the digits of a two-digit number is less than the value of the original two-digit number) is a sufficient condition for the conclusion, according to this conditional statement (the number is valid). In other words, if the hypothesis is correct, we can be certain that the conclusion is correct as well.

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Answer:

this is the answer ................................

The equation of the line will be y = -3/4x + 1.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The slope of the line is -3/4 and the y-intercept is 1. The equation of the line can be written as:-

y = mx + c

y = -3/4x + 1

Therefore, the line will have the equation y = -3/4x + 1.

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Answer:B

Step-by-step explanation:

The value of x from the given triangle is 17.5 units.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

We know that, sinθ= Opposite/Hypotenuse

Here, sin31°=9/x

0.515=9/x

x=9/0.515

x=17.5

Therefore, the value of x is 17.5 units.

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1. Area of the figure = 702 square feet.

Perimeter = 114 feet

2. Area of the figure = 20 square inches.

Perimeter = 24 inches.

Area of a rectangle = length * width

Perimeter of a shape = length of all the surrounding of a figure.

1. Area = area of rectangle 1 + area of rectangle 2 = 27 * 24 + 9 * 6

= 702 square feet.

Perimeter = 30 + 27 + 24 + 18 + 6 + 9 = 114 feet

2. Area = area of rectangle 1 + area of rectangle 2 = 7 * 2 + 3 * 2

= 20 square inches.

Perimeter = 7 + 2 + 3 + 3 + 2 + 3 + 2 + 2

= 24 inches.

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Answer:

x² + 23x + 49

Step-by-step explanation:

area of rectangle = length × width

Area of outer rectangle:

(x + 10) × (2x + 5) = 2x² + 5x + 20x + 50 = 2x² + 25x + 50

Area of unshaded square:

(x + 1)² = x² + 2x + 1

shaded area = area of outer rectangle - area of square

shaded area = 2x² + 25x + 50 - (x² + 2x + 1) =

= 2x² + 25x + 50 - x² - 2x - 1

= x² + 23x + 49

Answer: A. 6

Step-by-step explanation:

Answer: I think D.

Step-by-step explanation: why not pick D…..

Hope this helps^^

Answer:

where’s the options??

Step-by-step explanation:

The temperature on the surface of the planet, based on the equation for the temperature, is 47 degrees Celsius.

The equation given of y = 47 - 5x, is such that every one kilometer that we go from the surface of the planet, the temperature reduces by 5 degrees Celsius.

What this means is that at the surface of the planet the temperature is 47 degrees Celsius because this is the temperature when we have not gone a single kilometer above the surface.

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The rest of the question is:

Note that a change can be an increase or a decrease.

For an increase, use a positive number. For a decrease, use a negative number.

What is the temperature on the surface of the planet?

The perimeter of the pentagon PQRST will be equal to the perimeter of the pentagon ABCDE.

The regular polygon's edges are all identical to one another. The relationship between the number of sides to the mean distance determines the regular polygon's perimeter when it has n sides.

Then the perimeter of the pentagon ABCDE is given as,

P = AB + BC + CD + DE + EA

And the perimeter of the pentagon PQRST is given as,

P = PQ + QR + RS + ST + TP

Regular pentagons ABCDE and PQRST are congruent with each other.  Then the perimeter of the pentagons will be identical to each other.

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Step-by-step explanation:

This symbol is signma, which is the sub of all the X's after plugging them into the equation.

Just to show the pattern, the first 3 numbers on your table are 15, 13, and 13... doing those 3 with Sigma, and simplifying

[tex]( {1 5 - 2)}^{2} + ({13 - 2)}^{2} + {(13 - 2)}^{2} [/tex]

[tex]169 + 121 + 121[/tex]

You would pretty much do that all the way down the list.

After doing so, we wind up with

15, 13, 13, 4, 19, 12, 6, 5, 14

[tex]169 + 121 + 121 + 4 + 289 + 100 + 16 + 9 + 144[/tex]

Adding these together gets your answer of:

[tex]973[/tex]

The value of x in the given equation using laws of exponents is; x = -9

We want to solve the problem correctly expressed as;

3^(4x) = 27^(x - 3)

Now, some of the laws of exponents are;

1) Product of powers rule.

2) Quotient of powers rule.

3) Power of a power rule.

4) Power of a product rule.

5) Power of a quotient rule.

6) Zero power rule.

7) Negative exponent rule.

Now, 27^(x - 3) can also be expressed as;

3^(3(x - 3))

Now, according to power of power rule, if a base raised to a power is being raised to another power, the exponents are multiplied and the base remains the same. Thus;

3^(3(x - 3)) = 3^(3x - 9)

Thus, we now have;

3^(4x) = 3^(3x - 9)

4x = 3x - 9

3x - 4x = 9

-x = 9

x = -9

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Answer:yo no se come ablar ingles

Step-by-step explanation:

The y-coordinate for the solution to the system of equations is 6.

In mathematics, the value that is equally divided by the two supplied numbers is known as the LCM of any two. Least Common Multiple is its full name. Another name for it is the Least Common Divisor (LCD).

When the fractions' denominators differ, LCM can also be used to add or subtract any two fractions. LCM is used to make the denominators common when doing any arithmetic operations using fractions, such as addition and subtraction. The simplifying process is facilitated by this procedure.

The system of equation is given as:

−x + 3y = 9

y = 2/3x

The second equation can be written as:

x = 3/2y

Substituting the value of x in equation 1:

-3/2y + 3y = 9

Take the LCM:

-3y + 6y / 2 = 9

-3y + 6y = 18

3y = 18

y = 6

Hence, the y-coordinate for the solution to the system of equations is 6.

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Answer:

The number is 29.

Step-by-step explanation:

"five times the sum of a number and two" can be represented as 5(x + 2), where x is the number. "nineteen less than six times the number" is the same as 6x - 19. The word "is" determines that these two parts are equal. So, 5(x + 2) = 6x - 19.

Solve:

5x + 10 = 6x - 19

10 = x - 19

x = 29

Check:

5 * (29 + 2) = 5 * 31 = 155

(6 * 29) - 19 = 155

155 = 155

The area of circle that is needed to be filled with concrete is 509 m².

What is the definition of a circle?

A circle is a kind of ellipse with zero eccentricity and two coinciding foci. The locus of points drawn at equal distances from the centre is also known as a circle. A circle's radius is the distance between its centre and its outer line. A circle's diameter is the line that divides it into two equal halves and is equal to twice its radius.

A circle in the plane has the following equation:

(x-h)^²+ (y-k)² = r²

When the coordinate points are aligned (x, y)

(h, k) is the centre of a circle's coordinate.

r denotes the radius of a circle.

where 2πr is the circumference of the circle

πr²=circle's area

Now,

Given that circumference of the area=80 m

2πr=180

2*22/7*r=80

r=80*7/44

r=140/11 m

then area of the circular pad=πr²

=22/7*140/11*140/11

=2*20*140/11

=5600/11

=509 m²

hence,

              The area of circle that is needed to be filled with concrete is 509 m².        

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For the information provided the x- and y-components of the vector are 1.5 km and 2.6 km, respectively.

To find the x- and y-components of the vector, we can use trigonometry.

The x-component of vector is given by:

d_x = d × cos(θ)

where d is the magnitude of the vector and θ is the angle between the vector and the x-axis.

In this case, d = 3.0 km and θ = 60 degrees (since the vector is 30 degrees to the left of the y-axis).

So, d_x = 3.0 km × cos(60°) = 1.5 km.

The y-component of vector is given by:

d_y = d × sin(θ)

In this case, d_y = 3.0 km × sin(60°) = 2.6 km.

Expressing the answer using two significant figures gives:

d_x = 1.5 km, d_y = 2.6 km.

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The average rate of change over the interval (-1, 2) of the function is 3.

A parabola is a curve drawn in a plane. Where any point is at an equal distance from a fixed point (the focus) and a fixed straight line (the directrix).

A graph of the parabola is given.

The vertex is (-1, -4).

And the y-intercept is -3.

So, the equation of the parabola is,

y = (x + 1)² - 4.

The average rate of change over the interval (-1, 2):

= f(-1) - f(2)/(-1 - 2)

= (-4 - 5)/-3

= 3

Hence, 3 is the average rate of change.

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The fomulas of the sequence are a(n) = 3200(1.09)^n-1 and a(n) = a(n - 1) * 1.09

from the question, we have the following parameters that can be used in our computation:

First term, a = 3200

Increment, r = 9%

To find the explicit formula, we can use the formula for compound interest:

a(n) = a * (1 + r)^n-1

So, we have

a(n) = 3200(1.09)^n-1

For the recursive formula, we have

a(n) = a(n - 1) * 1.09

This is because the product of the current term and the incremnt rate gives the next term

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Answer:

See below for solution steps for parts (a) and (c)

Step-by-step explanation:

The trick here is to get all the roots to have the same radical. Each of the lowest radical is the square root pf a prime so cannot be reduced further

For example, in a, the lowest is [tex]\sqrt{3}[/tex]

So get all the others to this level a[tex]\sqrt{3}[/tex]  and then you can just add up the non-radicals and use the radical as the common expression

I will solve a couple and that will give you a general idea of solving the rest

Let's do a.
[tex]5\sqrt{3} , \sqrt{3}[/tex] are already at the lowest radical level of [tex]\sqrt{3}[/tex] so let's reduce 108 to have [tex]\sqrt{108}[/tex] to have [tex]\sqrt{3}[/tex] as one of its components

We can factor 108 as follows;

108/3 = 36

So 108 = 36 x 3

√108 = √36 × √3 = 6√3

Therefore the original expression becomes

[tex]5\sqrt{3} - 6\sqrt{3} + \sqrt{3} = (5 - 6 + 1)\sqrt{3} = 0 \sqrt{3} = 0[/tex]

[tex]-------------------------------[/tex]

c.
[tex]2\sqrt{20} - 7\sqrt{5} + \sqrt{45}[/tex]

Lowest radical is [tex]\sqrt{5}[/tex] whose coefficient is 7

Factor 20 = 4 x 5

[tex]2\sqrt{20} = 2\sqrt{4 \times 5} = 2\sqrt{4} \times \sqrt{5} = 2\times 2 \times \sqrt{5}\\= \bold{4\sqrt{5}}[/tex]

Factor 45:
45 = 9 x 5

[tex]\sqrt{45} = \sqrt{9} \times \sqrt{5} = \bold{3\sqrt{5}}[/tex]

Original expression becomes:
[tex]4\sqrt{5} - 7\sqrt{5} + 3\sqrt{5}\\\\=(4 - 7 + 3)\sqrt{5}\\\\= 0 \sqrt{5}\\\\= 0\\----------------------------[/tex]

I am sure you can do the rest. If not post them as another question. Maybe someone else will answer a few of the ones I did not.

All the best

The chef bought a total of 4 1/5 kilograms of beans.

Number of bags of beans the chef bought= 3

Quantity of beans in each bag = 1 2/5 kilograms

Total kilograms of beans bought by the chef= Number of bags of beans the chef bought × Quantity of beans in each bag

= 3 × 1 2/5

= 3 × 7/5

= 21/5

= 4 1/5 kilograms of beans

Ultimately, the chef bought 4 1/5 kilograms of beans.

Complete question:

a chef bought 3 bags of beans. Each bag contains 1 2/5 kilogram of beans. How many kilograms of beans did she buy?

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the  solution of the given equation will be x =1

What is a System of Equations?

A system of equations in algebra is made up of two or more equations that are solved together. "A group of equations satisfied by the same set of variables are called a system of linear equations. Finding the values of the variables employed in the system of equations is the first step towards solving it. While maintaining the balance of the equations on both sides, we compute the values of the unknown variables. Finding a variable whose value makes the condition of all the given equations true is the primary goal of solving an equation system.

The given equation x -5 = -4

add +5 in both side we get

x = -4+5

x=1.

Hence the solution of the given equation will be x =1

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The amount after 35% off on a 85 dollar item will be $55.25

Percentage is a way to express a number as a fraction of hundred. It is often used to represent proportions  and  ratios in a more convenient and understandable form, especially in financial  statistical and financial  contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

To find the sale price of an item that has a discount, you can use the following formula:

Sale price = Original price - (Discount percent × Original price)

In this case, the discount is 35% off of an $85 item. So we have:

Discount percent = 35%

Original price = $85

Substituting these values into the formula, we get:

Sale price = $85 - (35% × $85)

Sale price = $85 - $29.75

Sale price = $55.25

Therefore, the sale price of the item after a 35% discount is $55.25.

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The relative minimum's coordinates are (1, -5).

The first derivative test can be used to determine if a continuous function's critical point is a relative minimum or maximum. Simply put, the first derivative is a relative minimum if it is negative to the left of the critical point and positive to the right of it.

The parabola's equation takes the following form because its vertex is at (1, -5).

y = a(x - 1)² - 5

where "a" is a constant that determines the shape of the parabola. Since the parabola crosses the y-axis at (0, -3), we can substitute these coordinates into the equation and solve for "a" as follows:

-3 = a(0 - 1)² - 5

-3 = a - 5

a = 2

Thus, the equation of the parabola is:

y = 2(x - 1)² - 5

The x-coordinate of the vertex is given by x = 1

find the corresponding y-coordinate by substituting x = 1 into the equation:

y = 2(1 - 1)²- 5 = -5

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Answer:

A nonlinear function is a function in which the rate of change of the output (y) is not proportional to the rate of change of the input (x). In other words, a nonlinear function is a function where the graph of the function is not a straight line.

Here are a few examples of equations that represent nonlinear functions:

y = x^2: This is the equation for a parabolic function, which is a classic example of a nonlinear function.

y = sin(x): This is the equation for the sine function, which is periodic and nonlinear.

y = |x|: This is the equation for the absolute value function, which is nonlinear and has a "kink" at x = 0.

y = log(x): This is the equation for the natural logarithmic function, which is also nonlinear.

These are just a few examples of nonlinear functions. There are many other types of nonlinear functions, including polynomial, exponential, and trigonometric functions.

Answer:

oranges

Step-by-step explanation:

20% of 460 = 92

30% of 340 = 102