The equation y = 21.2x represents Maya's earnings in dollars and cents, y, for working x hours. Xavier earned $680.20 in 38 hours.Use the dropdown menu and answer-blank below to form a true statement.Maya earns $? per hour more/less than Xavier.

11

In slope formula: \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

Substitute and calculate: \(m=\frac{2}{5}\)

Substitute and calculate: \(b=\frac{17}{5}\)

Substitute: \(y=\frac{2}{5} x+\frac{17}5}\)

Answer= \(y=\frac{2}{5} x+\frac{17}5}\)

(Let me know if you want to know how I got my answer)

Answer:

30/1 is the answer kdkdkdkddn

9514 1404 393

Answer:

  a) not a function

  b) is a function

  c) not a function

  d) is a function

Step-by-step explanation:

If the graph passes the "vertical line test," then the relation is a function.

Choices B and D are linear equations. Their graph is a straight line, so each x-value corresponds to exactly one y-value. (Every non-vertical line passes the vertical line test.)

Choices A and C are equations of parabolas that open horizontally. It is easy to draw a vertical line that intersects the graph twice, so these relations fail the vertical line test.

__

  B, D -- functions

  A, C -- not functions

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

$0.66 or 66 cents

Step-by-step explanation:

\(\frac{1.98}{3} =0.66\)

By evaluating all the given values of the independent variable at x is equal to 6,x+4 and -x.

It is required to find the solution.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The function f(x)= x^2 + 2x + 8

According to given question we have,

By put the value of x=6 in the function f(x) we get,

Evaluating the function f(6):

f(6) = (6)² + 2(6) + 8

f(6) = 36 + 12 + 8

f(6) = 56

By put the value of x=x+4 in the function f(x) we get,

Evaluating the function f(x+4):

f(x+4) = (x+4)² + 2(x+4) + 8

f(x+4) = x² + 8x + 16 + 2x + 8 + 8

f(x+4) = x² + 10x + 32

By put the value of x=-x in the function f(x) we get,

Evaluating the function f(-x):

f(-x) = (-x)² + 2(-x) + 8

f(-x) = x - 2x + 8

Therefore, by evaluating all the given values of the independent variable at x is equal to 6,x+4 and -x.

Given  \(sin (\theta) = \frac{1}{5}\), and\(tan \theta = \frac{\sqrt{6} }{12}\), then:

\(cos\theta=\frac{2\sqrt{6} }{5}\)

From the details provided:

\(sin (\theta) = \frac{1}{5}\ \\\\tan \theta = \frac{\sqrt{6} }{12} \times \frac{\sqrt{6} }{\sqrt{6} }\\\\tan \theta = \frac{\sqrt{6} \times \sqrt{6} }{12 \times \sqrt{6} }\\\\tan \theta =\frac{1}{2\sqrt{6} }\)

From the relationship above:

Opposite = 1

Adjacent = \(2\sqrt{6}\)

Hypotenuse = 5

\(cos\theta=\frac{Adjacent}{Hypotenuse} \\\\cos\theta=\frac{2\sqrt{6} }{5}\)

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Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

Answer:

B: A systematic random sample

Step-by-step explanation:

Systematic sampling is a type of probability sampling in which members of a larger population are chosen at random from a larger population but at a fixed, periodic interval. This interval, also known as the sampling interval, is calculated by dividing the population size by the sample size desired. Despite the fact that the sample population is chosen in advance, systematic sampling is still considered random if the periodic interval is set in advance and the starting point is chosen at random.

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

The answer is 16pi or 50.3cm² to 1 d.p

Step-by-step explanation:

The non shaded=area of shaded

d=8

r=d/2=4

A=pir³

A=p1×4²

A=pi×16

A=16picm² or 50.3cm² to 1d.p

Answer:

3.45 cm (3 s.f.)

Step-by-step explanation:

We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.

To find the radius of a regular polygon given its side length, we can use this formula:

\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):

\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)

The formulas for the area of a regular polygon and the area of a circle given their radii are:

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Therefore, the area of the regular pentagon is:

\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)

The area of the circumcircle is:

\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)

The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.

The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.

Given the shaded area is equal to the unshaded area:

\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)

                                                 \(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)

Therefore, the radius of the small circle is 3.45 cm (3 s.f.).

Well, I cannot see the picture clearly

a) 7/5 - 2/4 = rational numbers

b) -3 + 90 = Whole numbers

c) squared root of 2 -3 = Whole numbers

d) 5 - 1.3 = rational numbers

Answer:

In the account that paid 3% Ramon put $800

In the account that paid 6% Ramon put $1,600

Step-by-step explanation:

Answer:

x+y= 9700 & 0.06x + 0.04y=466

Step-by-step explanation:

let X & Y be each account.  Together, they are $9,700.

So, x+y=9700

thus, account 1 (x) earns 6 %. which converted to decimal is 0.06

account 2 (y) earns 4 % which converted is 0.04

It also said that both accounts were $466, after 1 year.

0.06x+0.04y=466

The given parameter states 250mg/5ml, this means for every 1 ml, the patient takes 50mg, hence for every 4ml the patient will take 200mg

Density of amoxicillin  = 250mg/5ml amoxicillin

                                     = 50mg/ml

Mass of amoxicillin the patient will take for each 4ml volume

Mass = Density*Volume

Mass = 50*4

Mass = 200mg

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Answer:

angle 2 and 4....1and 3

Step-by-step explanation:

the lines bisects each other forming two equal but adjacent angles which are vertically opposite

The type of scale commonly used on maps is a graphic scale, which uses a line or bar to represent distances accurately.

The type of scale used on a map is known as a map scale. It is a graphical representation that shows the relationship between distances on the map and their corresponding measurements in the real world. A map scale allows us to understand the size and proportion of features depicted on the map.

There are three main types of map scales: verbal scales, graphic scales, and representative fraction scales.

Verbal Scale: A verbal scale uses words to describe the relationship between distances on the map and real-world measurements. For example, a verbal scale might state "1 inch represents 1 mile" or "1 centimeter represents 10 kilometers." Verbal scales are commonly used on small-scale maps, where the level of detail is not as important.

Graphic Scale: A graphic scale, also known as a bar scale or linear scale, uses a line or a bar marked with specific distances. This line is divided into equal segments that represent units of measurement. By comparing the length of the line on the map to the corresponding distance in the real world, you can determine distances accurately. Graphic scales are often found on the margin or the legend of a map and are commonly used on medium- to large-scale maps.

Representative Fraction (RF) Scale: A representative fraction scale expresses the relationship between map distances and real-world distances using a ratio. For example, a representative fraction of 1:100,000 means that one unit of measurement on the map represents 100,000 of the same units in the real world. This type of scale is useful because it allows for precise calculations and conversions between map distances and real-world distances. Representative fraction scales are commonly used on topographic maps and engineering plans.

It's important to note that a map may include multiple scales to accommodate different levels of detail. For instance, a large-scale map of a city may have a more detailed scale than a small-scale map of an entire country.

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step 1

Find out the slope of the given line

we have

8x-y=9

isolate the variable y

y=8x-9

the slope is m=8

step 2

Remember that

If two lines are parallel then their slopes are equal

that means

The slope of the parallel line is m=8

step 3

Find out the equation in slope-intercept form

y=mx+b

we have

m=8

point (8,2)

substitute and solve for b

2=8(8)+b

b=2-64

b=-62

the equation in slope-intercept form is

step 4

Find out the equation in standard form

Ax+By=C

where

A is a positive integer

B and C are integers

we have

y=8x-62

Answer:

x=2

Step-by-step explanation:

I don’t really have an explanation, it was all mental math

Answer:

Step-by-step explanation:

\(\sf 2(4-x)-3(x+3)=-11\)

Expand:-

Now, add 1 to both sides:-

Divide both sides by -5:-

Therefore, the value of x is 2!

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

Hope this helps!

Answer:

Given:

\( \: \)

To Find:

\( \: \)

Solution:

Let,

So,

length will be 2b + 3

\( \: \)

As, we know:

\( \bigstar \quad {\underline{ \boxed{ \green{Perimeter = 2 ( length + breadth ) }}}} \quad \bigstar\)

➝ 2[(2b + 3) + b)] = 252

➝ 2( 3b + 3 ) = 252

➝ 6b + 6 = 252

➝ b + 1 = 42

➝ b = 41

\( \: \)

Now putting the value of b in second equation:

➝ l = 2(41) + 3 = 85

\( \: \)

Hence,

\( \: \)

Check:

2( l+b ) = 252

➝ 2( 85 + 41 )

➝ 2( 126 )

➝ 252

\( \: \: \: \: \: \: { \sf{ \mathbb{ \pink{Formula's \: for \: Perimeter}}}}\)

★ Triangle = Sum of all sides

★ Square = 4 × Side

★ Rectangle = 2( l + b )

★ Circle = 2πr

Answer:

c

Stemmp-bmmy-step explanation:

dfffffffffmm

Answer:

Step 3, because the values for x for which y^1 < y^2 also include values between 3 and 5.

Step-by-step explanation:

Just took the test.

Answer:

c

Step-by-step explanation:

it just is

Answer:

34.3

Step-by-step explanation:

Answer:  The answer is  (34.3)

Step-by-step explanation:

Since you're rounding to the nearest tenth,  you gotta look at the hundreds place which is 8. 8 rounds up so therefore, 2 rounds up and becomes 3. Which gives you the answer (34.3)

~ Hope this helps you out, have a gr8 day/night my friend!~

Answer:

Step-by-step explanation:

\((-2\frac{1}{2},3\frac{1}{2})\)

Since, x-coordinate is negative and y-coordinate is positive, point will lie in the 2nd quadrant.

Answer is point P.

(-3, 6)

Point L represents the given coordinates.

\((-4\frac{1}{2},2)\)

Point P represents the given coordinates.

\((2\frac{1}{2},2\frac{1}{2})\)

Since, x and y coordinates are positive, point will lie in the 1st quadrant.

Point Q represents the given coordinates.

\((-1\frac{1}{2},-3\frac{1}{2})\)

Since, both x and y coordinates are negative, point will lie in the 3rd coordinate.

Point R represents the given coordinates.

Step-by-step explanation:

we first of all move 20 behind the comma for it to become -20 +3 and we get -17.

then use the product =-34

sum = 3

factors then continue

Answer:

\(x= \frac{-3 - \sqrt{145} }{4} \ \ or\ \ x= \frac{-3 + \sqrt{145} }{4}\)

Step-by-step explanation:

2x² + 3x + 3 = 20​

⇔ 2x² + 3x + 3 - 20 = 0

⇔ 2x² + 3x - 17 = 0

Using the Quadratic Formula to solve a Quadratic Equation :

\(x= \frac{-b \pm \sqrt{b^{2}-4ac} }{2a}\)

In the equation 2x² + 3x - 17 = 0

a = 2  ,  b = 3  and c = -17

Then

b² - 4ac = 3² - 4×2×(-17)

           = 9 + 8 × 17    

           = 9 + 136    

           = 145

Then

b² - 4ac > 0

Then

\(x= \frac{-3 \pm \sqrt{145} }{2 \times 2}\)

Then

\(x= \frac{-3 \pm \sqrt{145} }{4}\)

The expression when evaluated is 1.25

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

1.25*0.9-1.25*0.3+1.25*0.4

Evaluate the products in the expression

So, we have the following representation

1.25*0.9-1.25*0.3+1.25*0.4 = 1.125 - 0.375 + 0.5

Evaluate the like terms

1.25*0.9-1.25*0.3+1.25*0.4 = 1.25

Hence the solution is 1.25

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Answer:

12345

Step-by-step explanation:

j

Answer:

112500

Step-by-step explanation:

Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.

To determine how many games Jerrica would have to win in a row in order to have an 80% winning record, we need to calculate the number of games she needs to win out of a certain total.

Let's denote the number of games she needs to win in a row as x. If she wins x additional games, her total wins would be 20 + x, and her total games played would be 35 + x.

To have an 80% winning record, she would need to win 80% of the total games played. Mathematically, this can be expressed as:

(20 + x) / (35 + x) = 80 / 100

Cross-multiplying, we get:

100(20 + x) = 80(35 + x)

Expanding and simplifying:

2000 + 100x = 2800 + 80x

Subtracting 80x from both sides:

20x = 800

Dividing by 20:

x = 40

Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.

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Answer:

A ITS A

because 9*9*9 and it divides by 2

Answer:

I think it's B.

Step-by-step explanation:

Answer:

175°F

Step-by-step explanation:

The difference between -82 and 0 is 82.

The difference between 0 and 93 is 93.

Add these two numbers together to find the total difference:

82 + 93

= 175

So, the difference is 175°F

Answer: 5

Step-by-step explanation:

To find 20% of something, we can just multiply it by 0.2

25 × 0.2 = 5

Have a good day :)