Solve for x: 3x + 2 < 14 and 2 x-5> -11.

The quadratic equation that models the situation is

h(t) = - 4.9t² + 60.

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c

Given is that the function h(t) = - 4.9t² + h₀ gives the height (h), in meters, of an object (t) secs after it falls from an initial height h₀. The table shows data for a pebble that fell from a cliff as -

TIME (t)     HEIGHT (h)

1                   55.1

2                  40.4

3                  15.9

The given function is -

h(t) = - 4.9t² + h₀

For the point (1, 55.1), we can write as follows -

55.1 = - 4.9 x 1 x 1 + h₀

h₀ = 55.1 + 4.9

h₀ = 60

So, we can write the function as -

h(t) = - 4.9t² + 60

Therefore, the quadratic equation that models the situation is

h(t) = - 4.9t² + 60.

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Answer:

c on edge

3.5

Step-by-step explanation:

Answer: 5 Hours

Step-by-step explanation:

Divide 6600 by the amount per 1.5 hours.

6600 / 1980 = 3.333

Multiply the answer by the 1.5 hours.

1.5 x 3.333 = 5

The complete statement about the product of the polynomials is that:

The product of f(x) and g(x) is always a polynomial because the coefficients are real numbers and the exponents are whole numbers. Real numbers and whole numbers are closed under addition

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

Polynomials f(x) and g(x)

When these polynomials are multiplied;

We get another polynomial

This is because, when you multiply two polynomials you get a sum of monomials.

A sum of monomials is always a polynomial

The sum of monomials stated above implies that the whole exponents and the real coefficients are closed under addition

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Answer:

Step-by-step explanation:

X+X+X+Y+Y=

you simply count equal letters and add them x+x+x is 3x and y + y = 2y.

x + x + x + y + y =

3x + 2y

Answer:

rate of change = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{3}{4}[/tex] x - 2 ← is in slope- intercept form

with slope m = [tex]\frac{3}{4}[/tex]

the slope is a measure of the rate of change , then

rate of change = [tex]\frac{3}{4}[/tex]

Answer:

d

Step-by-step explanation:

The constant of proportionality in a proportional relationship is the number that relates the two variables, x and y, in the equation y = kx.We can see that the relationship between x and y is in the form of y = kx. We can find the constant of proportionality (k) by dividing the y-value by the corresponding x-value.For example:

x = 2; y = 5/6

k = y/x = (5/6) / 2 = 5/12The constant of proportionality is 5/12 for the given proportional relationship,

y = kx where k = 5/12Note that it is important to understand that the relationship is a proportion because in this case, the k(constant) is the same for every point, if we calculate each (y/x) point it will be 5/12

Answer:

3 stacks of paper can be purchased.

Step-by-step explanation:

Start by setting up the inequality:

15 = 3.79x

Now that you have set up the inequality, go to solve the inequality.

You should get the answer 3.958 (rounded). Since Mr. Valentino can not by a half stack of paper, drop the decimal so we are left with 3.

I would describe the graph as a straight line increasing, with money on y and stacks of paper on the x axis

Answer:

r = 7.50 + (1.10 × (m - 1))

r = 7.50 + (1.10 × (9 - 1))

r = 16.40

The total uber rate for 9 miles is $16.3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

First-mile charge = $7.50

Additional charges after the first mile = $1.10

The total charge for 9 miles.

r = 7.50 + 1.10 x 8

r = 7.50 + 8.8

r = $16.3

Thus,

The total rate for 9 miles is $16.3.

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Answer:

18 red balls, 3 blue balls, 6 yellow balls.

Step-by-step explanation:

a ratio helps us understand the relationship between two or more values (in this case three values). More specifically it tells us how much of one item is present, for every amount another item is also present.

In this example, the ratio of red:blue:yellow is given to be: 6:1:2, which means, for every 6 red balls, there is one blue ball and two yellow balls.

In some cases, a ratio can be simplified, similar to a fraction, by dividing each number by some common factor, but in this case, the ratio cannot be simplified any further.

Instead of directly trying to find how many red, yellow, or blue balls there are first, we can instead try solving for how many group of sixes are there in the total number of red balls. It helps to think of it this way, since for every group of six red balls there are, there is one blue ball and two yellow balls, which means we can just multiply this number by one and two to find the number of blue and yellow balls in their respective orders. For simplicity, let's assign this to the unknown "G".

Using this logic, we can set up the following equation:

[tex]6G+1G+2G=27[/tex]

For every group of six red balls... there is 6 red balls, 1 blue ball, and 2 yellow balls, adding all these together should give us the total number of balls, which was given to be 27 balls. Now we can just combine the stuff on the left into one term, by adding the coefficients.

[tex]9G=27[/tex]

Now divide by 9

[tex]G=3[/tex]

Now that we know the number of group of six red balls there are, we can multiply six, one, and two to find the red, blue, and yellow balls.

[tex]\text{red balls} = 3 * 6 = 18\\\\\text{blue balls} = 3 * 1 = 3\\\\\text{yellow balls} = 3 * 2 = 6[/tex]

and you can all this together, to double check, which gives us 27.

Answer:

18,3,6

Step-by-step explanation:

Given ,

To Find : The number of red,blue and yellow balls present in the bag

Let us take the variable as 'x' to represent the number of balls in the bag

When we Put the values in a equation,

6x+x+2x = 27

9x = 27

x = [tex]\frac{27}{9}[/tex]

x = 3

Hence the number of,

Red Balls = 6x = 6 x 3 = 18

Blue Balls = x = 3

Yellow Balls = 2x = 2 x 3 = 6

Decomposition of the fraction [tex]1\frac{3}{4}[/tex] =7/4 = 17/4 - 10/4

Here, the numerator, or top number, 7, indicates how many pieces we will examine.

Please look at figure a and pay attention to the three coloured components. The bottom number, our denominator, provides the total number of components. As a result, pay close attention to figure a. There are a total of four parts, numbered 1, 2, 3, and 4. However, since we are working with 7/4, we will just examine the three shaded parts.

7/4 = 17/4 - 10/4

7/4 = 11/4 - 4/4

Unit fraction decomposition will be used. Unit fraction - what is it? What would we focus on if we just looked at one element? It is one in four, or 1/4. Because this is the first of a series that includes 1, 2, 3, and 4. The third component would also be 1/4, and the second piece would be 1/4.

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Answer:

Step-by-step explanation:

In the last part of the problem, you have to follow PEMDAS.

Instead of you added before dividing. After the step of 36÷3+9x2 you have to divide.

Answer:

C

Step-by-step explanation:

2 sides and the included angle of both triangles are congruent, then the triangles are congruent by SAS postulate

here, on solving  company reduced the size of their percentage  container of dishwashing soap to 4.5 ounces from its original 5 ounce capacity.

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

The initial size was x.

Since 100% - 10% = 90%, 0.9x is 10% smaller than the original size.

90% of the original size is equal to 4.5 ounces,

hence the calculation we use to determine the original size x is:

0.9 x = 4.5 x

= 4.5 / 0. 9 x = 5

The bottle's initial capacity was 5 ounces.

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Answer: 2 gallons of syrup per batch

Step-by-step explanation:

12/6=2

The cost of renting the car for one day and driving 200 miles is $54.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, In some cities you can rent a car for $18 per day and $0.20 per miles.

Establishing the equation for finding total cost y for x miles and d days

y = 18d + 0.2x

For 200 miles, the cost =

y = 18×1+0.20×200

y = 18+40

y = $54

Hence, the cost of renting the car for one day and driving 200 miles is $54.

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Answer:

1/2 or 0.5 inches per hour

Step-by-step explanation:

5 divided by 10 will get you this answer

Answer:

Here

Step-by-step explanation:

Step by step solution:

Fractions with the same denominators can be added together by simply adding the numerators while retaining the common denominator.

The numerators should be added together while maintaining a common denominator. Add fractions with the same denominators by following the methods shown below:

Given:

=2/4 + 1/4

=(2+1)/4

=3/4

Therefore, 2/4 + 1/4=3/4 and not 3/8

Note:

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Step-by-step explanation:

3 1/7 × [3 1/3 × (2/3 + 1/6) - 1 5/18] ÷ 2 3/7

well, first we have to bring everything to true fractions.

then we need to bring all fractions we need to add or subtract to the same denominators.

and then we simply calculate.

3 1/7 = (3×7 + 1)/7 = 22/7

3 1/3 = (3×3 + 1)/3 = 10/3

1 5/18 = (1×18 + 5)/18 = 23/18

2 3/7 = (2×7 + 3)/7 = 17/7

22/7 × [10/3 × (2/3 + 1/6) - 23/18] ÷ 17/7

to be able to add 2/3 and 1/6 we need to bring the to the same denominator, with its simply 6.

2/3 + 1/6 = 2/2 × 2/3 + 1/6 = 4/6 + 1/6 = 5/6

22/7 × [10/3 × 5/6 - 23/18] ÷ 17/7

22/7 × [50/18 - 23/18] ÷ 17/7

22/7 × 27/18 ÷ 17/7

22/7 × 27/18 × 7/17

22/17 × 27/18 = 22/17 × 3/2 = 66/34 = 33/17

so, the result is 33/17 = 1 16/17

Answer: Three and Nine Hundreths

3 9/100

309%

Step-by-step explanation:

i only know 3 sorry :(

Answer:

: Three and Nine Hundredths

: 3 9/100

: 309%

: 3 90/1000

Step-by-step explanation: These are some that I could think of. The last one is an equivalent fraction to the second one. I hope this helped.

Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.

Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every ahead and move form may indeed be resolved to a set of triangles. Amazingly intricate connections exist between geometry and other areas of mathematics, particularly arithmetic, real or abstract, infinite series, arithmetic, and infinite series.

Here,

Sin 30 = Opposing Side/High

1/2 = 5 / y

y = 5 / (1/2)

y = 10

Cos 30 = Adjustment Side/ Hyp

√3/2 = x/y

√3/2 = x/10

x = 10√3 / 2

x = 5√3

In light of this, the given fractional problem's answer is

x = 5√3 and y = 10.

Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.

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Answer:

Two thousand and twenty three

Step-by-step explanation:

Answer: Two and twenty-three thousandths

Step-by-step explanation:

Answer: 240 Calories are from Carbohydrates

Step-by-step explanation:

First, we will convert 80% into the decimal 0.8, then we will multiply this by the amount of total calories in the drink to create the following equation:

300 * 0.8 = 240 Calories.

On solving the provided question, we cans say that - here in coordinates S is given by: [tex](-2,4)[/tex]

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

x-coordinate of [tex]X = -2[/tex]

y-coordinate of[tex]S = 4.[/tex]

S is given by: [tex](-2,4)[/tex]

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On solving the provided question, we cans say that - here in coordinates S is given by: (-2,4)

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

x-coordinate of -2

y-coordinate of 4

S is given by: (-2,4)

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The complete program is

intInput = int(input("Integer between 32 and 126: "))

floatInput = float(input("Float input: "))

charInput = input("Character input: ")[0]

strInput = input("String input: ")

print(intInput, floatInput, charInput, strInput)

From the question, we have the following parameters:

The program that does this is:

intInput = int(input("Integer between 32 and 126: "))

floatInput = float(input("Float input: "))

charInput = input("Character input: ")[0]

strInput = input("String input: ")

print(intInput, floatInput, charInput, strInput)

See attachment for complete program and the output of the program execution

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Answer:

Radical Approximation

of A=5√2

of B=2√13

of C is 3√7

Answer:

4^5 = 1024

4×4×4×4×4 = 1024

Step-by-step explanation:

An exponential expression is going to have an exponent representing the repeated multiplication. 4 times itself 5 times over is 4^5.

A product of factors is going to show the multiplication written out sort of in a long format:

4 × 4 × 4 × 4 × 4

4^5 = 1024

4×4×4×4×4 = 1024