8) Eugene and Kayla each improved their yards by planting daylilies and shrubs. They bought their
supplies from the same store. Eugene spent $87 on 10 daylilies and 9 shrubs. Kayla spent $60
on 5 daylilies and 10 shrubs. What is the cost of one daylily and the cost of one shrub?
A) daylily: $7, shrub: $1
C) daylily: $3, shrub: $6
12
B) daylily: S6, shrub: $3
D) daylily: $3, shrub: $1

Answer:

x = 7

Step-by-step explanation:

(7x-9)(2x+2) = 35/14

98x - 126 = 70x + 70

28x = 196

x = 7

According to the given expression some are shortlisted factored expressions are \(4(3a^3 + 2a) for 12a^3 + 8a , 6(4a^4 + 3) for 24a^4 + 18, 4a^3(4a^2 - 5) for 16a^5 - 20a^3.\)

Expressions in mathematics are numerical, variable, and operation combinations that are used to indicate a quantity or a relationship between values.

One or more variables or numbers are combined with one additional operation to form an expression. An illustration of an expression is X + 1.

The completely factored expressions are:

\(4(3a^3 + 2a) for 12a^3 + 8a\\\6(4a^4 + 3) for 24a^4 + 184a^3(4a^2 - 5) for 16a^5 - 20a^3\)

So the correct answers are:

\(12a^3+8a=4(3a^3+2a)24a^4+18=6(4a^4+3)16a^5−20a^3=4a^3(4a^2−5)\)

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Answer:

40,960

Step-by-step explanation:

To find the multiplier, set up an equation like this:

\(5x=-10\)

The above equation will allow us to find what number, when multiplied with 5 will result in -10. If we divide both sides of the equation by 5, we'll find that the number, x, is -2:

\(x=-2\)

We need to find the 14th term. To do this, simply multiply the lattermost number in the sequence by our multiplier, -2.

\(20*(-2)=40\)

Since 5 is the first term in the sequence, -10 is the second term in the sequence, and 20 is the third term in the sequence, 40 is the fourth term. Now we just need to find the next ten so that we can find the 14th term. To do that, repeat the process of multiplying the lattermost number by -2 ten more times:

\(40*-2=-80\\-80*-2=160\\160*-2=-320\\-320*-2=640\\640*-2=-1280\\-1280*-2=2560\\2560*-2=-5120\\-5120*-2=10240\\10240*-2=-20480\\-20480*-2=40960\)

Therefore, the 14th term is 40,960.

Answer:

-40,960

Step-by-step explanation:

you have to add the negative because there partners in crime

There is only one number from 1 through 200 that has a 2 in the units place and is divisible by 4.

The question asks for the number of numbers from 1 through 200 that have a 2 in the units place and are divisible by 4.
To solve this, we need to determine the possible values for the tens digit. Since the number needs to be divisible by 4, the tens digit must be even.
The even numbers from 1 to 9 are 2, 4, 6, and 8. Out of these, only the number 2 has a 2 in the units place.
Therefore, there is only one number from 1 through 200 that has a 2 in the units place and is divisible by 4.

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Answer: Binomial

Monomial= 1 term

Binomial= 2 terms

Trinomial=3 terms

Polynomial= 4 terms or more

Answer:

y-intercept: 3

slope: -3

Step-by-step explanation:

The y-intercept is the point at which a line crosses the y-axis, which means that the y-intercept must be (0, y). The only value at which x is 0 is (0, 3), so the y-intercept is 3.

The definition of slope is rise over run, or:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Choose any two coordinates and replace the values in:

\(m=\frac{6-3}{-1-0} \\m=\frac{3}{-1}\\m=-3\)

The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.

Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.

In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.

By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.

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Answer:

the first one because Albert sat on apple tree and discovered u don't have a father

Answer: A

Step-by-step explanation:

Answer

4.6/5. 24

here u go

Answer: 45

Step-by-step explanation:

X :: 30:: 24:: 16

30×24= 16× X

X=720/16=45

Answer:

Step-by-step explanation:

Given that

Find the surface area of the cylinder!

Equation =

(2 × 3.14 × 10) × (10 + 7) =

62.8 × 17 ≈

The surface area of the cylinder ≈ 1067.6 square metres

_________________

#Indonesian - kexcvi

Answer:

Use this formula to calculate for the surface area of cylinder.

Step-by-step explanation:

A=2π r h+2 π r^2.

use r = 10 m and h = 7 m

2 (3.14) (10) 7 + 2 (3.14) 10 ^2. = 439.6 + 628 = 1067.6

round to the nearest hundredths = 1068

The context that could be modeled by a linear function is A. A smartphone data plan charges $65/month and $0.46/GB of data used.

The total cost of the data plan depends linearly on the amount of data used.  The monthly fixed cost of $65 represents the y-intercept, and the variable cost of $0.46/GB represents the slope of the linear function.

A linear function is a rule in Maths that links two things on a graph using a straight line.

For instance: y = mx + b

In this equation

y = the thing that depends on something else (like time),

x = the thing it depends on (like distance),

m = how much y changes when x changes and

b = where the line starts on the up-and-down axis.

So, the slope (m) shows how y changes when x changes and the starting point (b) tells us where the line begins.

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Saman's income needs to increase by $500.00 for her to continue purchasing 100 gallons of gasoline and running 10 loads of laundry each month.

To calculate how much Saman's income needs to increase, we need to determine the total cost of gasoline and laundry before and after the price changes.

Before the price increase:

Cost of gasoline: 100 gallons × $10.00/gallon = $1000.00

Cost of laundry: 10 loads × $0.50/load = $5.00

Total cost before the price increase: $1000.00 + $5.00 = $1005.00

After the price increase:

Cost of gasoline: 100 gallons × $15.00/gallon = $1500.00

Cost of laundry: 10 loads × $0.50/load = $5.00

Total cost after the price increase: $1500.00 + $5.00 = $1505.00

To maintain the same consumption level of gasoline and laundry, Saman's income needs to cover the increased cost of $1505.00 - $1005.00 = $500.00.

Therefore, Saman's income needs to increase by $500.00 for her to continue purchasing 100 gallons of gasoline and running 10 loads of laundry each month.

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The removable discontinuity of the function is x-2/(x-2)(x+4).

Given, we have the following functions:

a. x-2/(x-2)(x+4)

separate the terms:

= x-2/x-2 × 1/x+4

cancel the like terms:

= 1 × 1/x+4

hence x-2/(x-2)(x+4) has a removable discontinuity.

A point on the graph that is undefinable or does not fit the remainder of the graph is referred to as a removable discontinuity. A detachable discontinuity can be generated in one of two ways. The function can be defined to have a blip, or it can have a common factor in both the numerator and the denominator.

When the two-sided limit at c exists but isn't equal to f(c), the discontinuity at c is referred to as detachable.

Hence the from the given functions the function which have a removable discontinuity is x-2/(x-2)(x+4)

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The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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Answer:

The correct option is;

0.100100010000...

Step-by-step explanation:

An irrational number in mathematics are the subset of real numbers that are not rational numbers such as √2, π, e. As such it is not possible to express an irrational number as a ratio of two integers, or expressed in the form of a simple fraction.

The decimal portion of the expression of an irrational number are non periodic and they do not terminate. Transcendental, which are non algebraic, numbers are all irrational numbers

In the question, the number 0.100100010000... has non terminating non recurring decimals and is therefore an irrational number.

The answer is 16.5 mi/hr

B = the speed of the boat in still water.

S = the speed of the stream

Relative to the bank, the speed upstream is B-S.

The speed downstream is B+S.

Use the equation for distance.

Rate * Time = Distance

Upstream

(B-S)9 = 567

(B+S)9 = 712

Simplify first:

B-S = 63

B+S = 80

Solve by elimination.  Add the two equations.

2B = 143

B =71.5 mi/hr

Substitute this into either equation and solve for S.

B+S = 80

71.5+S = 55

S = 16.5 mi/hr

What is speed?

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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(12x-2y=28\implies -2y=-12x+28\implies y=\cfrac{-12x+28}{-2} \\\\\\ y=\cfrac{-12x}{-2}+\cfrac{28}{-2}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\text{\LARGE 6}} x-14 \qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

Answer:

45°

Step-by-step explanation:

well all the side are equal. Since each angle of this square is 90, and if I'm not mistaken, the two angle are equal to each other.

So both angle x and y are 45°

Step-by-step explanation:

Every hour, the cars are 43 + 38 = 81 miles further apart.

Therefore 2904/81 = 35.85 hours.

They will take around 35.85 hours for them to be 2,904 miles apart.

The probability of occupying the ground level increases as the temperature increases, while the probability of occupying the excited states decreases.

Given data: Nondegenerate energy levels with ε/k = 0, 100, and 200 K.'

The probability of occupying the ground level (i=0) when T=90 K is:

P0,90K = e^(-ε0/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }

MP0,90K = e^(-0/k × 90 K) / { e^(-0/k × 90 K) + e^(-100/k × 90 K) + e^(-200/k × 90 K) }P0,90K

= 1 / { 1 + e^(-100 × 9) + e^(-200 × 9) }= 0.9475 (approximately)

The probability of occupying the excited state (i=1)

when T=90 K is:P1,90K = e^(-ε1/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }P1,90K

= e^(-100/k × 90 K) / { e^(-0/k × 90 K) + e^(-100/k × 90 K) + e^(-200/k × 90 K) }P1,90K

= e^(-9000) / { 1 + e^(-9000) + e^(-18000) }= 0.052 (approximately)

The probability of occupying the excited state (i=2) when

T=90 K is:P2,90K = e^(-ε2/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }P2,90K

= e^(-200/k × 90 K) / { e^(-0/k × 90 K) + e^(-100/k × 90 K) + e^(-200/k × 90 K) }P2,90K

= e^(-18000) / { 1 + e^(-9000) + e^(-18000) }

= 0.0005 (approximately)

The probability of occupying the ground level (i=0) when

T=900 K is:

P0,900K = e^(-ε0/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }

P0,900K = e^(-0/k × 900 K) / { e^(-0/k × 900 K) + e^(-100/k × 900 K) + e^(-200/k × 900 K) }

P0,900K = 1 / { 1 + e^(-100 × 90) + e^(-200 × 90) }

= 0.9999999999970 (approximately)

The probability of occupying the excited state (i=1)

when T=900 K is:P1,900K = e^(-ε1/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }P1,900K

= e^(-100/k × 900 K) / { e^(-0/k × 900 K) + e^(-100/k × 900 K) + e^(-200/k × 900 K) }

P1,900K = e^(-90000) / { 1 + e^(-90000) + e^(-180000) }= 1.5 × 10^-8 (approximately)

Therefore, the probability of occupying the ground level increases as the temperature increases, while the probability of occupying the excited states decreases.

To know more about Probability, The probability of occupying the ground level increases as the temperature increases, while the probability of occupying the excited states decreases.

Given data: Nondegenerate energy levels with ε/k = 0, 100, and 200 K.'

The probability of occupying the ground level (i=0) when T=90 K is:

P0,90K = e^(-ε0/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }

MP0,90K = e^(-0/k × 90 K) / { e^(-0/k × 90 K) + e^(-100/k × 90 K) + e^(-200/k × 90 K) }P0,90K

= 1 / { 1 + e^(-100 × 9) + e^(-200 × 9) }= 0.9475 (approximately)

The probability of occupying the excited state (i=1)

when T=90 K is:P1,90K = e^(-ε1/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }P1,90K

= e^(-100/k × 90 K) / { e^(-0/k × 90 K) + e^(-100/k × 90 K) + e^(-200/k × 90 K) }P1,90K

= e^(-9000) / { 1 + e^(-9000) + e^(-18000) }= 0.052 (approximately)

The probability of occupying the excited state (i=2) when

T=90 K is:P2,90K = e^(-ε2/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }P2,90K

= e^(-200/k × 90 K) / { e^(-0/k × 90 K) + e^(-100/k × 90 K) + e^(-200/k × 90 K) }P2,90K

= e^(-18000) / { 1 + e^(-9000) + e^(-18000) }

= 0.0005 (approximately)

The probability of occupying the ground level (i=0) when

T=900 K is:

P0,900K = e^(-ε0/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }

P0,900K = e^(-0/k × 900 K) / { e^(-0/k × 900 K) + e^(-100/k × 900 K) + e^(-200/k × 900 K) }

P0,900K = 1 / { 1 + e^(-100 × 90) + e^(-200 × 90) }

= 0.9999999999970 (approximately)

The probability of occupying the excited state (i=1)

when T=900 K is:P1,900K = e^(-ε1/kT) / { e^(-ε0/kT) + e^(-ε1/kT) + e^(-ε2/kT) }P1,900K

= e^(-100/k × 900 K) / { e^(-0/k × 900 K) + e^(-100/k × 900 K) + e^(-200/k × 900 K) }

P1,900K = e^(-90000) / { 1 + e^(-90000) + e^(-180000) }= 1.5 × 10^-8 (approximately)

Therefore, the probability of occupying the ground level increases as the temperature increases, while the probability of occupying the excited states decreases.

To know more about standars d

Answer: 8.4 miles

Step-by-step explanation:

d = rt

Solve for her rate

21 = 5r

r = 21/5

r = 4.2

Solve for if the time is 2 hours and rate (solved previously) is 4.2

d = 4.2*2

d = 8.4

The distance traveled by Rebecca in 2 hours is given by d = 8.4 miles and the speed is S = 4.2 miles / hour

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the total distance ran by Rebecca be D = 21 miles

The time taken by her to travel 21 miles T = 5 hours

So , the speed of Rebecca S = D / T

On simplifying , we get

S = 21/5

S = 4.2 miles per hour

Therefore , the speed of Rebecca is 4.2 miles / hour

Now , let the time taken be T₂ = 2 hours

So , the distance traveled in 2 hours , D = ST₂

D = 4.2 x 2

D = 8.4 miles

Hence , the distance traveled is 8.4 miles

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1. The variables SleepWorkdayHr and SleepWeekendHr are dependent. 2. The appropriate test is a test involving paired differences. Option b is correct.

The variables SleepWorkdayHr and SleepWeekendHr are dependent since they are measurements of the same individuals at different times, specifically during the workweek and on the weekend. The amount of sleep a person gets on the weekend may depend on how much sleep they got during the workweek, and vice versa. Option b is correct.

The most appropriate test for this scenario would be a test involving paired differences, also known as a paired t-test. This is because we are interested in comparing the sleep patterns of the same individuals during the workweek and the weekend, and these measurements are paired. We want to test whether there is a significant difference between the average number of hours slept during the workweek and the average number of hours slept during the weekend for the same individuals. Therefore, option b is correct.

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--The complete question is, We try to determine if there is evidence that individuals, in general, make up for lost sleep on the weekends. We also study whether there is a different proportion of unemployed versus employed who sleep in on the weekend.

The data comes from the National Institutes of Health HINTS data over the course of September 2013–November 2013 in HINTS 4 Cycle 3. The variables you will be working with are as follows.

OccupationalStatus—the occupational status of the respondent, categories include 1 = Employed, 2 = Unemployed, 3 = Homemaker, 4 = Student, 5 = Retired, 6 = Disabled, 7 = Other

We wish to study the differences between how many hours people sleep during the workweek (sleepworkdayhr) versus how many hours they sleep during the weekend (sleepweekendhr).

SleepWorkdayHr—the number of hours per night the respondent typically sleeps during a workday

SleepWeekendHr—the number of hours per night the respondent typically sleeps during a weekend

1. Are the variables SleepWorkdayHr and SleepWeekendHr

a. independent

b. dependent?

2. Which test is most appropriate?

a. a test of the difference between the means of two independent groups

b. a test involving paired differences--

The distribution of X under Q is N(2, 1).

Using the formula for the PDF of a normal distribution, we get that PDF of X is given by

fX(x) = (1/√(2πσ²)) exp[-(x - μ)²/2σ²]

where μ = 0 and σ² = 1.

Therefore,

fX(x) = (1/√(2π)) exp(-x²/2)

Also, Y has a standard normal distribution, that is, N(0,1).

Therefore, its PDF is given byfY(y) = (1/√(2πσ²)) exp[-(y - μ)²/2σ²]where μ = 0 and σ² = 1.

Therefore,fY(y) = (1/√(2π)) exp(-y²/2)Since Y = X + 2, we can write X = Y - 2.

Therefore, PDF of X under Q is given by

fX(x) = fY(y) / dy/dx

where y = x + 2So, y = x + 2, implies x = y - 2dy/dx = 1Q(y) = P(x)dy/dx = PQ(y) = P(y - 2)

Now, we need to find dQ/dP.

The PDF of Y is given by

fY(y) = fX(x) / dx/dy

where x = y - 2

So, x = y - 2 implies y = x + 2dx/dy = 1fY(y) = fX(x) / dx/dy= fX(x+2)Q(y) = P(y - 2) = P(x)

Now, dQ/dP can be found as follows:

dQ/dP = (dQ/dy) / (dP/dx) = (dP(x+2)/dx) / (dP(x)/dx) = P(x+2) / P(x)fX(x+2) / fX(x) = exp[2y - 4 - x²/2 - (x+2)²/2] = exp[2y - 9 - 2x - x²]

So, the derivative dQ/dP is given by dQ/dP = exp[2y - 9 - 2x - x²].

Therefore, the distribution of X under Q is N(2, 1).

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Answer:

Step-by-step explanation:

p if and only if q ⇒ p ↔ q

If q then not p ⇒ q → ~p

p and q ⇒ p ∧ q

p and not q ⇒  p ∧ ~q

p or q ⇒ p ∨ q

if not q then p ⇒ ~q → p

p therefore q ⇒ p ∴ q

if not p then q ⇒ ~p → q

The fiber modulus required to produce a composite with longitudinal modulus of c is 56.93.

What is manufacturing process?

Manufacturing process management is a group of tools and techniques that specify how goods should be produced. MPM is distinct from ERP/MRP, which is used to schedule manufacturing, gather cost information, and organize the ordering of supplies and other resources.

What is matrix?

A matrix, which is used to represent a mathematical object or an attribute of one, is a rectangular array or table containing numbers, symbols, or expressions that are organized in rows and columns. is a matrix having two rows and three columns, for instance.

As a result, if we look at the formula for the relationship between the fiber modulus and the matrix's volume fraction, composite modulus, and fiber vol fraction, we have:

C = (M x B) / [(1-A)M + A x B]

where M denotes the fiber's modulus.

If you provide the corresponding letter values,

40 = M X 0.5 / [(1-0.7)M + 0.7 X 0.5]

M = 56.93

Hence,the fiber modulus required to produce a composite with longitudinal modulus of c (msi) is 56.93

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Answer:

(-45,0)

Step-by-step explanation:

Answer:

(-45, 0)

Step-by-step explanation:

The statement "System analysts define an object's attributes during the systems design process" is true because  defining object attributes is an essential part of the systems design process to ensure that the system meets the desired functional requirements.

In systems design, objects are used to represent real-world entities that are relevant to the system being developed. These objects have attributes that describe their characteristics or properties, which are used to identify and manipulate them within the system. System analysts define these attributes during the systems design process to ensure that the system meets the desired functional requirements.

For example, in a library system, a book object may have attributes such as title, author, publisher, and ISBN. Defining these attributes helps ensure that the system can properly manage and retrieve books as needed. Object-oriented design is a popular approach to systems design that relies heavily on defining objects and their attributes.

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The cost of the tabletop is $251.10. Option C

The formula for calculating the area of a rectangle is expressed as;

Area = lw

Such that the parameters are;

From the diagram shown, we have;

The width = 6 3/4 feet = 27/4 feet

The length = 3 feet

Substitute the values

Area = 27/4 × 3

Multiply

Area = 20. 25 square feet

But;

1 square foot = $12.40

Then  20. 25 square feet = x

x = $251. 10

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The intersection A13−13∩{0∗1∗} is not equal to {0n1n∣n≥0}.

The claim that A13−13∩{0∗1∗}={0n1n∣n≥0} is not correct.

To see why, let us consider a counterexample. Take the string w = "0000#1000". The middle third of w is "0#1", so the string obtained by removing the middle third is "000011000". This string is not in {0n1n∣n≥0}, as there are more 0s than 1s. However, "000011000" is in A13−13, as it can be written as "0000#1000" with the middle third removed.

Therefore, the intersection A13−13∩{0∗1∗} is not equal to {0n1n∣n≥0}.

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