Which proportional relationship has the greatest unit rate the table or the equation? Tell how you arrived at your answer, showing all work.

Answer:

52750

Step-by-step explanation:

Step 1:  Identify the digit in the tens place:

Step 2:  Examine the digit to the right of the tens place:

Step 3:  Determine the rounding:

Since the digit to the right of the tens place is 4 (which is less than 5), we keep the tens place digit as is.

Original number: 52754.1683

Rounding to the nearest ten: 52750

Thus, rounding 52754.1683 to the nearest ten gives us 52750.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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We want to slove the given equations using reverse order of operation

1. x - 4 = -2

Reverse subtraction of 4

x - 4 + 4 = -2 + 4

x = 2

2. a + 10 = -4

Reverse addition of 10

a + 10 - 10 = -4 - 10

a = -14

3. 59 = s + 90

Reverse addition of 90

59 - 90 = s + 90 - 90

-31 = s

s = -31

Answer:

The correct answer is B) The author repeats words with positive connotations to help emphasize her point. In the passage from A Vindication  of the Rights of Woman the author uses words like "perfection",  "reason", "virtue", "knowledge" and "happiness" which have positive connotation to emphasize her point that woman deserve equal rights.

Step-by-step explanation:

Answer:

where is the figure and the picture?

Answer:

  1.  shifts the graph right 2 units

  2. y = -2(x -3)² +7

Step-by-step explanation:

1) Replacing x with x-h in any function shifts the graph h units to the right. Here, you have replaced x with (x-2), so the graph will be shifted 2 units to the right.

__

3) The vertex form of the equation of a parabola is ...

  y = a(x -h)² +k . . . . . . . . for vertex (h, k) and vertical scale factor 'a'

Here, the vertex is (h, k) = (3, 7), and the parabola opens downward. This tells us the sign of 'a' is negative.

The graph is not so clear that it is easy to read the value of 'a' directly from it, but there are several clues.

The zeros of the above function are found at h±√(k/a). This graph shows the zeros to be located such that √(7/a) is slightly less than 2. This means the magnitude of 'a' will be slightly more than 7/2² = 1.75. The y-intercept of the function is 7-9a. It is less than -7, but probably more than -14. This puts bounds on 'a':

  -14 < 7-9a < -7

  -21/9 < -a < -14/9   ⇒   -2.33 < -a < -1.56

If we assume that 'a' is an integer value, we have bounded its magnitude as being between 1.75 and 2.33, so a=-2 is a reasonable choice.

The equation of the graph may be ...

  y = -2(x -3)² +7

SOLUTION:

(c)

The area of the drive way;

Dimension of Ford Raptor;

Length = 5.603 m

Width = 2.190 m

Area of Ford Raptor;

The number of the dream car the drive way can fit;

The driveway can accommodate only 3 Ford Raptor.

(d)

The volume of Asphalt needed to repave the drive way;

Volume = Length X width X thickness

The volume of Asphalt needed to repave the drive way is 4.5826 cubic meters.

Answer:

13 reminder 7.

Step-by-step explanation:

A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.

To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.

Let's calculate the sum of the digits in 1234:

1 + 2 + 3 + 4 = 10

The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.

To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.

The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.

1234 + 2 = 1236

we obtain the number 1236, which is divisible by 3.

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To make sure the flip is in unison after 4  seconds should the flip occur, as given by option C: 4 seconds.

We have given that,

Two gymnasts are running toward each other in a floor routine, and they plan to precisely time a flip to stay synchronized for the audience.

Synchronized motion is a motion of two or more system which goes in synchronization with each other.

For this case, the flip will occur such that both gymnasts are synchronized and the flip is in unison (simultaneous).

For that, we need the time(x) and the height (y) same.

Since the motion paths are:

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

\(y=-3(x-3)^2+x+1\)

Therefore, we need to find the values of x for which the same y comes as output.

Let x =  t be the time for which the height y is the same, then:

\(-(t-5)^2+3=-3(t-3)^2+t+1\) = height achieved by both gymnasts.

Solving it further:

\(-(t-5)^2+3=-3(t-3)^2+t+1\)

t=4,t=1/2

Assuming they planned to do a flip after an integral number of time in seconds, the correct option is t = 4 seconds.

Thus, to make sure the flip is in unison after 4  seconds should the flip occur, as given by the option C: 4 seconds.

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The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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it is plus 90 degree rotation transformation

Answer:

Exact Form:

√ 30

Decimal Form:

5.47722557 …

Step-by-step explanation: i would go with D

Answer:

\(\mathbf{ \int^2_0 \dfrac{x^2}{4}. dx = \dfrac{2}{3}}\)

Step-by-step explanation:

The volume of right pyramid whose base is a square is expressed by the formula:

\(V = \int^h_o \dfrac{L^2 *y^2}{h^2}. dy \ or \ V = \int^h_o \dfrac{L^2 *x^2}{h^2}. dx\)

Given that:

height h = 2; &

side (l) = 1

Then;

\(V = \int^2_0 \dfrac{(1)^2 *x^2}{(2)^2}. dx\)

\(V = \int^2_0 \dfrac{x^2}{4}. dx\)

\(V =\dfrac{1}{4} \Big [ \dfrac{x^3}{3} \Big ] ^2_0\)

\(V =\dfrac{1}{4} \Big [ \dfrac{(2)^3}{3} -0\Big ]\)

\(V =\dfrac{1}{4} \Big [ \dfrac{8}{3} -0\Big ]\)

\(\mathbf{V = \dfrac{2}{3}}\)

Answer:

5

Step-by-step explanation:

Subtract 1 from both sides. The equation becomes 2.5d + 6.25 = 3.75d

Subtract 2.5d from both sides. The equation becomes 6.25 = 1.25d

Divide 1.25 from both sides. You get 5 = d

The part of the expression for the amount of Tax Deborah has to pay is 0.08(50h)

A tax is a compulsory financial charge or some other type of levy imposed on a taxpayer (an individual or legal entity) by a governmental organization.

Tax is charged on the total cost of a particular good or service, at a pre-determined rate called the rate of tax.

In the question, we are informed that the total cost after tax to repair Deborah's computer is represented by 0.08 (50h) +50h, where h represents the number of hours it takes to repair Deborah's computer.

We know that the total cost = Tax + Fixed Cost,

where tax = tax rate x fixed cost.

Hence, the total cost function can be written as:

Total cost = Tax Rate(Fixed cost) + Fixed Cost.

Comparing the given expression of the total cost, 0.08(50h) + 50h, with this expression, 0.08(50h) represents the tax part, where 0.08 is the tax rate and 50h is the fixed cost.

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Answer: The answer is D

Step-by-step explanation: got it form edge

Answer:

its the 3rd option actually The reasonable range is limited to 0 ≤ y ≤ 5.5.

Step-by-step explanation:

edge

The perimeter of a figure is found adding the length of all its sides.

In this case, the perimeter is:

P = (x + 6) + (3x - 2) + (x- 3) + (x+ 2) + (x) + (x + 5)

P = (x +3x + x +x + x + x) + (6 - 2 -3 +2 + 5)

P = 8x + 8

Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

The proof of ΔRUV ≅ ΔSUT is shown below.

Given that:

RSTV is a rectangle and U is the midpoint of VT.

Here, We have to Prove:

⇒ ΔRUV ≅ ΔSUT

Now, We can prove as;

Statement                               Reason

1) RSTV is a rectangle               Given

2) Angle V and T are                Because every angle in a rectangle is 90

right triangle.

3) ∠V ≅ ∠T                               Because both are right angle.

4) U is the midpoint of VT.        Given

5) VU = UT                                By midpoint theorem.

6) VR ≅ TS                                Opposite sides of rectangle.

7) ΔRUV ≅ ΔSUT                       By SAS congruency theorem.

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Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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A formula without free variables is a formula that does not contain any variables that are not quantified.

Sentences are commonly referred to as formulas devoid of any unrestricted variables. These statements hold a truth value independent of the variable values, hence the reason.

Open formulas are frequently referred to as formulas with free variables. These are not actually declarations; instead, they are arrangements that can transform into declarations by allotting definite values to the independent variables.

Formulas without free variables are often easier to work with than formulas with free variables.

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Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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The graph of the linear equation; y = k·x + b, where k > 0, and b > 0, has a positive slope and a y-intercept in the positive y-axis

Please find attached the graph of the equation; y = 3·x + 1

Where;

k = 3 > 0

b = 1 > 0

A linear equation is an equation of the format; y = m·x + c, where;

m = The slope of the graph

c = The y-intercept

The equation that is required to be graphed is; y = k·x + b

The constraints of the graph of the equation are;

k > 0, and b > 0

The equation, y = k·x + b, is a linear equation, where;

y = The output of the equation = The height of the coordinate of a point on the graph

x = The input value of the equation, which determines the value of y = The horizontal distance of a point on the graph from the origin

k = The slope slope of the line of the graph

b = The y-intercept of the graph

k > 0, indicates a positive, and b > 0 indicates a positive y-intercept, such that the graph increases from left to right and has a y-intercept that is above the origin.

The possible values of k and b are; k = 3, and b = 1

y = 3·x + 1 = x + 1

y = 3·x + 1

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The distance traveled during the given time interval be 2024 m.

An object's rate of change in velocity is referred to as its acceleration. The rate of change in velocity is known as acceleration. Acceleration typically signals a change in speed, though this is not always the case. Because of the shifting direction of its velocity, an item moving on a circular path at a constant speed is still accelerating.

By integrating the velocity v in terms of time t, v = gt, we can determine acceleration, which is the rate of change of velocity with respect to time.

Let the function be a(t) = t + 4

time = 11

substitute the value of t in the above equation, we get

a(11) = 11 + 6 = 17 m/s²

a = v/t, so v = at

finally v = (17 m/s²) (11s)

v = 187 m/s

b) Find the distance traveled during the given time interval

\($$V_{total} = V_{final} - V_{ initial\)

V final = 187 m/s, Vinitial = 3 m/s

V total = 187 - 3 = 184 m/s

Let the equation of velocity be

Velocity = distance/time

distance = velocity × time

distance = 184 m/s × 11 s

distance = 2024 m

Therefore, the distance traveled during the given time interval be 2024 m.

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f(x) = 1/4x-3

When f(x) = -1,

= 1/4(-1)-3

= -13/4

Answer

-2.25

Step-by-step explanation:

(1/-4) -2= (1/-4)- 2^4= -9/4= -2.25

Answer: a = 14.4 scoops; b = 9.6 scoops

Step-by-step explanation:

a.) 40% of the high fiber scoops is 9.6. We need to figure out how much of the high protein she needs, so we would subtract the 9.6 from 24 and get 14.4.

b.) Solved the same as the first problem but with different numbers. 60% of her high fiber food is 14.4, so subtract that from 24 and you get 9.6.

Hope this helps! :) Sorry if I made a mistake