A standard die is rolled. Find the probability that the number rolled is greater than 2.

The function that represents the difference, h(x) = f(x) – g(x), between the value of Aleka’s and Helene’s total savings after x years is C. h(x) = 1000(1.025)x – 200x.

It should be noted that Aleka and Helene both opened savings accounts that earn 2.5% interest a year. Aleka puts $2,500 into her account.

The function for Aleka will be:

= 2500 (1.025)^x

The function for Helene will be:

= 1500(1./25)^x + 200x

Therefore, the difference of the function will be 1000(1.025)x – 200x.

In conclusion, the correct option is C.

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1.  For collecting balls by both Robot A and B the direction will be N->E->E

2. For collecting hat and ball by Robot A and box and hat by Robot B, the direction will be N->N->S->E->E

3. For collecting both the balls by Robot A and a hat and ball by Robot B, the direction will be E->E->N

The direction that both Robot A and Robot B can take are N, E, S and W

For Part 1:

Robot A and Robot B need to collect the ball which is in the 2nd row 5th column for Robot A and 4th row 3rd column for Robot B, therefore the direction will be:

=N->E->E

For Part 2:

Robot A needs to collect a hat and ball which are in the 1st-row third column and 2nd row 5th column respectively. Robot B needs to collect a box and a hat which are in the 3rd row 1st column and 4th row 3rd column respectively. Therefore, the direction will be:

= N->N->S->E->E

For Part 3:

Robot A needs to collect both the balls which are in the 3rd-row 4th column and 2nd row 5th column respectively. Robot B needs to collect a hat and a ball which are in the 5th row and 2nd column & 4th row 3rd column respectively. Therefore, the directions will be:

= E->E->N

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Answer:

  {a}

Step-by-step explanation:

You want the set A'∩(B∪C') given the definitions of each of the sets U, A, B, C.

The inverse of a set is the set of elements of the universal set that are NOT in the given set.

  A' = {a, b, c, d, e, f, g, h} - {f, g, h} = {a, b, c, d, e}

  C' =  {a, b, c, d, e, f, g, h} - {a, b, c, d, e} = {f, g, h}

The union of two sets is the list of elements in either of the two sets.

  B∪C' = {a, g, h} +{f, g, h} = {a, f, g, h}

The intersection of two sets is the list of elements common to both:

  A'∩(B∪C') = {a, b, c, d, e} ∩ {a, f, g, h} = {a}

The midpoint of the line segment with endpoints at (1, 7) and (9, -3) is (5, 2)

An equation is an expression that shows the relationship between two or more numbers and variables.

The midpoint O(x, y) of the line segment with endpoint at A(x₁, y₁) and B(x₂, y₂) is:

x = (x₁ + x₂) / 2; y = (y₁ + y₂)/2

Given the line segment with endpoints at (1, 7) and (9, -3). Let O(x, y) be the midpoint, hence:

x = (1 + 9) / 2 = 5

y = (7 +  (-3)) / 2 = 2

The midpoint of the line segment with endpoints at (1, 7) and (9, -3) is (5, 2)

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A graph of the given ordered pair (-5 3 1/2) has been plotted as shown in the image attached below.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.

In conclusion, the point (-5) would be plotted on the x-axis (abscissa) while point (3 1/2) would be plotted on the y-axis (ordinate) of a coordinate plane as shown in the image attached below.

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If the height and volume of the prism are 6 inches and 30 cubic inches. Then the base area of the prism is 5 square inches.

What is a rectangular prism?

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

The volume of a right rectangular prism is found by multiplying the length of the base by the width of the base by the height of the prism.

A right rectangular prism has a volume of 30 cubic inches.

If the height of the prism is 6 inches. Then the base area of the prism will be

The volume is given as

Volume = Base area × Height

We know

Volume = 30

Height = 6

Then the base area will be

  30 = Area × 6

Area = 5

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$16000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}[/tex]

[tex]A=16000\left(1+\frac{0.03}{1}\right)^{1\cdot 2} \implies A = 16974.4~\hfill \underset{earned~interest}{\stackrel{16974.4~~ - ~~16000}{ 974.40}}[/tex]

[tex]S^{C}[/tex] ∩ T sets is the option C.

Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things.

A set is a collection of items.

S is a set and T is also a set.

[tex]S^{C}[/tex] simply means S complement.

Complement of S simply means not in S. It means everything not in S.

∩ simply means intersection

Therefore,

[tex]S^{C}[/tex] ∩ T implies not in S intersection T sets.

Hence, [tex]S^{C}[/tex] ∩ T is the option C.

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An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign. The relations are: x+3, 3x², 3ˣ

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

Finding the relations:

Relationship 1:

The y-values have a common difference of 1, so the relationship is linear with as slope of 1. The only matching choice is (x+3), which matches the values of y1.

Relationship 2:

The y-values have differences that increase with a common difference. They are (3-0) = 3, (12-3) = 9, (27-12) = 15, (48 -27) = 21. The second differences are (9-3) = 6, (15-9) = 6, and so on with all second differences being 6. This tells you that a second-degree polynomial can model this sequence. The only matching choice is 3x² which matches the values of y².

Relationship 3:

The y-values have increasing differences that also have increasing differences. The values have a common ratio of 3, indicating an exponential function will model this sequence. The only matching choice is (3ˣ), which matches the values of y³.

Therefore the relations are: x+3, 3x² and 3ˣ

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Answer: Hope you guys can see it

Step-by-step explanation:

The graph for y=2x and y=2x + 5 is drawn at bottom.

A common technique for graphically showing data linkages is the graph. While taking up less space, a graph accomplishes the goal of conveying information that are either too many or complicated to be completely stated in the text.

A graph is a diagram or graphical representation that organizes the display of facts or values. The points on a graph are typically used to depict the relationships between two or more things.

For the given question,

y = 2x

The coordinates are -

(1,2), (2,4), (3,6), (4,8)

y=2x + 5

The coordinates are -

(1,7), (2,9), (3,11), (4,13)

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Answer:

A

Step-by-step explanation:

1 kilogram is equal to 1000 grams, so 40000 grams is 40 kilos.

Answer:

When x approaches -∞, y approaches ∞ and when x approaches ∞, y approaches ∞.

Step-by-step explanation:

Answer: Dana estimation is incorrect because difference = 598 miles

Step-by-step explanation:

Given data,

Dana has driven her car 95,598 miles.

She estimates she can

drive the car another 5000 miles.

she can,

drive the car another 5000 miles before the mileage reaches

100,000 miles.

Estimated Mileage of the car is equal to 100,000 miles.

That is,        

Estimated  Mileage of the car is = 100,000 miles.

So,

We can write,

Total distance Dana has to travel = already driven + additional miles to cover

Total distance Dana has to travel = 95,598 + 5,000 miles

Total distance Dana has to travel = 1,00,598 miles.  

As per mileage of car is  100,000 miles.

So, Dana has to travel = 1,00,598 miles.  

So, Dana estimation is incorrect because difference is = 100,598 - 100,000

Therefore,  

Dana estimation is incorrect because difference = 598 miles

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[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{8}~,~\stackrel{y_1}{-3})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +8}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M}}{(7~~,~~0)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +8}{2}=7\implies x+8=14\implies \boxed{x=6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -3}{2}=0\implies y-3=0\implies \boxed{y=3}[/tex]

4 Feet = 121.92 cm.

The formula is to multiply the length value by 30.48.

Feet (ft) Centimeters (cm)

1 ft        30.48 cm

2 ft        60.96 cm

3 ft        91.44 cm

4 ft        121.92 cm

Answer: False. If this were true, then the range would have been 18 - 6 = 12.

Step-by-step explanation:

Answer:

[tex]\frac{cm^{6} - g}{cm^{4} }[/tex]

Step-by-step explanation:

Write 1/cm^2 - g/cm^4 to visualize it better, then distribute using the fraction rule ([tex]\:a-\frac{b}{c}=\frac{ac-b}{c}[/tex]): [tex]\frac{cm^2cm^4-g}{cm^4}[/tex]

Combine like terms to get: [tex]\frac{cm^6-g}{cm^4}[/tex]

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Responder:

Parte A: 32 yardas cuadradas por galón

Parte B: 13 pies cuadrados por galón de diferencia

Explicación paso a paso:

Parte A:

Para saber cuántas yardas cuadradas cubre cada galón, tienes que dividir 42 2/3 entre 1 1/3, lo que equivale a 32. Eso significa que cada galón de pintura cubre 32 yardas cuadradas.

Parte B:

Primero, tienes que convertir cuánto cubrió Ángela en yardas cuadradas a pies cuadrados. Como una yarda cuadrada equivale a 9 pies cuadrados, tenemos que multiplicar 32 por 9, lo que equivale a 288. Para encontrar la diferencia, debes restar 288 - 275, lo que equivale a 13.

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Monica received $ 7 amount of money for each pair of sneakers she sold.

We are given that:

Remaining amount with Monica = $ 8

She spent on earing = $ 13

The total amount she had = $ 13 + $ 8

The total amount she had = $ 21

Now, she sold 3 pairs of sneakers and gained $ 21

So, the price of each snicker will be calculated by using division.

So, we get that:

Monica receive for each pair of sneakers = $ 21 / 3 = $ 7

Therefore, Monica received $ 7 amount of money for each pair of sneakers she sold.

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The required answers are,

The greatest number of binders Eula can buy is 5.

The greatest number of notebooks Eula can buy is 10.

If 7 notebooks are ordered, one binder may also be bought, costing $2 more for Eula.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now the given inequality is,

4x + 2y ≤ 20

here x is the number of binders and y is number of notebooks.

Cost of 1 binder = $4

Cost of 1 notebook = $2

Now for maximum number of binders put y = 0 in the given inequality we get,

4x + 2*0 ≤ 20

Solving we get,

4x  ≤ 20

Dividing both the side by 4 we get,

x ≤ 5

Thus, Eula is permitted to acquire 5 binders in the absence of notebook purchases.

Now for maximum number of notebooks,

Putting x = 0 in the given inequality we get,

4*0 + 2y ≤ 20

Solving we get,

2y  ≤ 20

Dividing both the side by 2 we get,

y ≤ 10

Thus, Eula is permitted to purchase 10 notebooks if no binders are purchased.

Now if Eula buys 7 notebooks, putting y = 7 in the given inequality we get,

4x + 2*7 ≤ 20

Solving we get,

4x + 14 ≤ 20

Subtracting both the side by 14 we get,

4x ≤ 6

Dividing both the side by 4 we get,

x ≤ 3/2

⇒ x ≤ 1.5 ≈ 2

Thus, If 7 notebooks are ordered, one binder may also be bought, costing $2 more for Eula.

Hence,If 7 notebooks are ordered, one binder may also be bought, costing $2 more for Eula.

Thus, the required answers are,

The greatest number of binders Eula can buy is 5.

The greatest number of notebooks Eula can buy is 10.

If 7 notebooks are ordered, one binder may also be bought, costing $2 more for Eula.

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Answer: 1) 5      2)10    3) 1

Step-by-step explanation:

on edge its correct

Answer:

It can ither be 12 or 14

Step-by-step explanation:

The numbers have to be even and must be greater than 10 but less than 15 and the only numbers that are greater than 10 but less than 15 are 12 and 14.

Hope this helps.

Answer:

10000000$

Step-by-step explanation:

gu kha le bhosadike duck you

The cost function expressed as the number of times spent calling is cost function = c(x) = 31 + 0.35x

The cost function that can be written as per the number of units that she used is given as

c(x) = a + bx

x = 320

a + 320b = 143

When x = 710

we would have

a + 710b = 279

subtract the equations

710 b - 320 b = 279 - 143

390b = 136

b = 136/390

= 0.35

Put the value of b in equation 1

a + 320 x 0.35 = 143

a + 112 = 143

a = 31

cost function =

c(x) = 31 + 0.35x

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A) Express the monthly cost C as a function of a, the number of minutes of calling time she used.

Answer:

49

Step-by-step explanation:

You first simplify (1/7)^2 which is 7^2 then you get 49.

Answer:

49

Step-by-step explanation:

did it

The ratio that forms a proportion with 2/9 in the question is 14/63.

Ratio can be described as the term that is been used in mathematics which is been used in the indication of  how many times one number contains another.

From the given figure, which is 2/9 , the ratio that form the proportion can be found as

[(2*7) / (9*7) ]= 14/63

In conclusion we can see that the  ratio that forms a proportion with 2/9 in the question is 14/63 because if we follow the way the ratio is been calculated , we can see that 14/63is the correct answer, which is option D.

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The missing options are:

10/40

12/63

12/45

14/63