Ava has a part-time job at a store. She earns a weekly salary. She also
earns a $0.60 bonus for each gift card she sells. The expression
65 +0.60g shows Ava's total weekly earnings. Identify any variables,
Defficients, and terms in the expression. Tell what each represents.

Answer:

5/2

Step-by-step explanation:

For this question there's multiple ways to solve but this is how I would tackle it:

1. The negative exponents are quite intimidating, so lets deal with those. When you have a negative exponent, you first move the entire term that is stuck to the exponent to the opposite side of the fraction line (check the negative exponent image).

2. Once all the negative exponents are gone, I would tackle the numerator and then the denominator.

3. Once the numerator and denominator are cleaned up, we finish it up by dividing the fraction. See the dividing fraction image.

See the final image if you want to see how I solved it :)

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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Answer:

Step-by-step explanation:

1)8/12=12/18

2)12/20=18/30

3)4/16=6/24

Moving 5 one digit to the left, one number in which the value of digit 5 is 10 times as great as in 253,829 is in 538,290.

It means that the value of the digit is multiplied by 10.

Hence, moving the digit 5 one position to the left, and appending a zero at the end, generating the number 538,290, the value of digit 5 is 10 times as great as in 253,829.

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Answer:

\(f(x)=-\frac{15}{13}x^3+\frac{30}{13} x^2-\frac{60}{13} x+\frac{120}{13}\)

Step-by-step explanation:

\(f(x)=a(x-2)(x+2i)(x-2i)\)

\(f(x)=a(x-2)(x^2+4)\)

\(-15=a(3-2)(3^2+4)\)

\(-15=13a\)

\(-\frac{15}{13}=a\)

\(f(x)=-\frac{15}{13}(x-2)(x^2+4)\)

\(f(x)=-\frac{15}{13}(x^3-2x^2+4x-8)\)

\(f(x)=-\frac{15}{13}x^3+\frac{30}{13} x^2-\frac{60}{13} x+\frac{120}{13}\)

In order to determine which equations have solution you proceed as follow:

6 - 5h = 3h + 14 subtract 3h and subtract 6 both sides

-5h-3h = 14-6 simplify

-8h = 8 divide by -8 both sides

-8h/(-8) = 8/(-8)

h = -1

Hence, the previous equation has solution

2x - 5 = -13 sum 5 both sides

2x - 5 + 5 = -13 + 5 simplify

2x = -8 divide by 2 both sides

2x/2 = -8/2

x = -4

Hence, the repcious equation has solution

-7 = 1 + n/3 multiply both sides by 3 (to eliminate denominator 3)

-21 = 3 + n sum 3 both sides

-18 = n

the previous one has solution

-2 (4x-5) + 6 = -(8x+16) use distribution property and eliminate parenthesis

(-2)(4x) + (-2)(-5) + 6 = -8x - 16 simplify

-8x + 10 + 6 = -8x - 16 simplify

-8x + 16 = -8x - 16 sum 8x both sides

16 = -16

The previous result is an inconsistency, hence, the previous equation does not have solution.

7n - (5+5n) = 15 eliminate parenthesis

7n - 5 - 5n = 15 simplify and sum 5 both sides

2n = 20 divede by 2 both sides

n =10

The previous equation has solution

Answer:

2035

Step-by-step explanation:

2=2000 add 35 so it's would add up to the answer

The missing values are:

angle DGE = 45 degrees

angle EDG = 85 degrees

FD = 10

GD = 10√2

EG = (20 + 13√3) / 2

The missing sides in the figure is solved as follows

angle DGE = angle BAG = 45 degrees (alternate angles are equal)

angle EDG = angle ADC (vertical angles are equal)

angle ADC + 45 + 50 = 180 (sum of angles in a triangle)

angle ADC = 180 - 50 - 45

angle ADC = 85 degrees

Since DGE = 45 degrees and FG = 10

tan 45 = FD / FG

tan 45 = FD / 10

FD = 10

solving for GD

GD² = FD² + FG² = 10² + 10² = 200

GD = 10√2

solving for EG

EG = EF + FG

cos 50 = EF / 13

EF = 13 cos 50 = 13√3 / 2

EG = EF + FG = 13√3 / 2  + 10 = (20 + 13√3) / 2

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The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.

Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.

Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

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Answer: (6,-6)

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula:

Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

M = ((x1+x2)/2, (y1+y2)/2)

Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:

4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6

-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6

Therefore, point B has coordinates (6, -6).

As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.

Answer:

-19/7

Step-by-step explanation:

convert mixed number into improper fraction

20/7-5 4/7

20/7-39/7

subtract fractions

-19/7

Answer: D

Step-by-step explanation:

guessed

Since Nancy has $400 dollars ans spends $20 each week. The word "Has" and "Spends" indicates the positive and the negative. so if we write the function rule saying f(d) then we should use it to our equation saying.

Answer:

f(d)=400-20d

Hope this helps! :)

Answer:

yes I just checked it

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

1. Since you are told x=35. Plug it into x.

35-25

2. Simplify

35-25=5

Answer: 10

Step-by-step explanation:

x-25

substitute 35 for x

35-25 = 10

Answer:

a. (x-5) meters

b. 390 m²

Step-by-step explanation:

A. We get the equation x²+x-30.

We need to find two factors of 30, which equals 1.
6 and -5 are factors of 30.
Now, we can see that (x-5) and (x+6) are the equations. (x+6) cannot be applied, so the answer is (x-5)

B. We can substitute x with 20, and when we plug it in, we get 390 meters.

The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

The correct answer is D.

The function f(x) has some specific characteristics as shown in the graph.

The graph of f(x) has five intercepts, as can be seen from the graph.

The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.

The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.

At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.

The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.

Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).

This can be deduced from the symmetry of the graph about the origin.

Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.

At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

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When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Dy/dx = (dy/dt)/(dx/dt) denotes the slope of the tangent line of a parametric curve whose parametric equations are x = /(t) and y = g(t). Wherever dy/dt is zero and dx/dt is zero, a parametric curve has a horizontal tangent.

The x and y coordinates are defined as functions of t when parametric form is used to represent angles: Plot the entire circle by using the equations x = r cos t and y = r sin t. Polar equations are the name given to these parametric equations.

The given x=1+12+ dx=dt 0+12(1) =12

Parametric y Curve is as follows: ts-t dy 5t-1 dt z = ts+t dz dt 5t +1 (dz, dy, dz) = (12, 5t-1, St+1) dt 7 dt dt x = 13 =) When, 1+12 t = 13 12

(x(t), y(t), and z(t)) = (13,0,2) + + (12, 4, 6) x(t), y(t), and 2(t)) = (13+12t, ut, 2+ 6+) x(t) = 13+12t, y(t) = ut, 2(t).

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Full Question = Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

x = 1 + 12 t , y = t5 − t, z = t5 + t; (13, 0, 2)

x(t), y(t), z(t) =

2 in = 5.08 cm So 2in is greater

The (two-way) wave equation is a second-order partial differential equation describing waves, including traveling and standing waves; the latter can be considered as linear superpositions of waves traveling in opposite directions.

This article mostly focuses on the scalar wave equation describing waves in scalars by scalar functions u = u (x1, x2, ..., xn; t) of a time variable t (a variable representing time) and one or more spatial variables x₁, x₂, ..., xₙ (variables representing a position in a space under discussion) while there are vector wave equations describing waves in vectors such as waves for electrical field, magnetic field, and magnetic vector potential and elastic waves. By comparison with vector wave equations, the scalar wave equation can be seen as a special case of the vector wave equations; in the Cartesian coordinate system, the scalar wave equation is the equation to be satisfied by each component (for each coordinate axis, such as the x-component for the x-axis) of a vector wave without sources of waves in the considered domain (i.e., a space and time). For example, in the Cartesian coordinate system, for Eₓ , Eₐ and Eₙ the representation of an electric vector field wave E in the absence of wave sources, each coordinate axis component

Ei (  i = x , a , n) must satisfy the scalar wave equation. Other scalar wave equation solutions u are for physical quantities in scalars such as pressure in a liquid or gas, or the displacement, along some specific direction, of particles of a vibrating solid away from their resting (equilibrium) positions.

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Answer:

$24

Step-by-step explanation:

divide 10.80 by 9 to get 5% of the cost

45/9 = 5%

10.80/9 = $1.20

Multiply 1.20 by 20 to get 100% of the price

The steps that Patel could he use to solve the quadratic equation include:

8(x² + 2x) = –3

8(x² + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

It is preferred to solve quadratic equations without the use of the known quadratic formula solver. This can be completing squares and solving for x.

The equation given is:

8x² + 16x + 3 = 0

8(x² + 2x) = -3

Completing squares in the brackets and balancing the equation:

8(x² + 2x + 1) = -3 + 8

Factoring the perfect square will give 8(x + 1)² = 5.

This is illustrated in the options picked for the step.

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it will be 48 I believe good luck

Answer:

5.79%

Step-by-step explanation:

The percentage error in the measurement is obtained by;

|measured temperature - actual temperature|/actual temperature ×100

actual temperature= 95°F

measured temperature= 100.5°F

|100.5 - 95|/95×100

%error= 5.79%

The difference in speed between Explorer B and Explorer A is 600 miles per hour.

In order to determine how fast the satellites are travelling, the average speed of the satellites have to be calculated. Average speed is the total distance covered per time.

Average speed = total distance / total time

Average speed of Space Explorer B = 74,400 / 12 = 6,200 miles per hour

Average speed of Space Explorer A = 72,800 / 13 = 5,600 miles per hour

Difference in speed = 6,200 miles per hour - 5,600 miles per hour = 600 miles per hour.

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Answer:

31 minutes is equal to 0.52 of an hour.

Answer:

31/60 is the answer for what fraction of an hour is 31 minutes.

Given:

• Top cash prize = $697

• First set of numbers to pick 4 different numbers from = 1 to 53

• Second set to pick one number from = 1 to 46

• Minimum award = $225

Given that the player wins the minimum award by matching three numbers drawn from 1 to 53 and matching number through 1 to 43, let's find the probability of winning the minimum award.

To find the probability, we have the following:

Number of ways to pick 4 different numbers from 1 to 53:

Now, the probability of matching 3 numbers from the 4 different numbers picked and matching the number on the gold ball (1 to 46) will be:

Therefore, the probability of winning a minimum award is:

• ANSWER: