i need help!!!!!!!!!​

Answer:

3/4 x 3/8 = 9/32

Step-by-step explanation:

The total number of different paths which we can have as calculated from the given data is 6.

To know the number of different three-step paths along the edges of a cube are there that take us from vertex a  to vertex b.

For the first path no of different ways = 3

For the second path no of different ways = 2

For the third path no of different ways = 1

Therefore , the total number of ways

= 3 x 2 x 1

= 6

The solid three-dimensional shape also known as a cube has six square faces, eight vertices, and twelve edges. A cube is also known as a hexahedron.

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Answer:

true

Step-by-step explanation:

because there's less humidity

Their present age are:

Vikas 's age = 15 years, Mother's age = 42 years  and

Grandmother's age = 64 years.

Let that present age of Vikash is x yrs.

So, his Mother's age= (x+27) yrs

Grandmother's age = (x+27+22) i.e., (x+49) yrs.

According to question,

   x+ (x+27)+ (x+49) = 121

⇒ 3x+ 76 = 121

⇒ 3x = 121-76

⇒ x= 45/3

⇒ x = 15

Therefore,

x = 15

Which means the age of Vikas is 15 years.

Now

So, mother's age will be = 15+27

                                        = 42 years.

And,

Grandmother's age = 15+49

                                = 64 years.

Hence, age of Vikash, his Mother and his Grandmother are 15 yrs, 42 yrs, and 64 yrs respectively.

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Mark needs to invest 5572.24 hours (rounded to one decimal place) of study time in order to achieve an A letter grade in this course.

To determine the estimated minimum number of hours Mark should study, we need to solve for the number of hours such that his predicted score, given by the regression equation from part (b), is at least 90.

The regression equation is as follows: Predicted score = 48.74 + 0.00726(number of hours studied)

Setting the predicted score equal to 90 and solving for the number of hours studied gives:90 = 48.74 + 0.00726 (number of hours studied)

Solving for the number of hours studied gives: number of hours studied = (90 - 48.74)/0.00726= 5572.24

Therefore, Mark should study for 5572.24 hours (rounded to one decimal place) to receive a letter grade of A for this course.

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The correct graph for the given sets of equation is given attached below.
Equation no 2 gives the perfect solution to the graph.

A parabola, is cross section cut out of the cone and represented by an equation \(Y=4ax^2\)

Clearly, by property of the parabola, the curve of parabola should symmetric to its axis. From this property set of Equation (2) i.e. downward opening parabola increasing from negative 2 comma negative 3 to a maximum at 0 comma 1 and then decreasing through the point 2 comma negative 3 Holds the property of the parabola

Thus, the required solution for the sets of equation (2) is given in the attachment.

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Answer:

1(rise)/-1(run)  answer = -1

Step-by-step explanation

hope that helped

Answer:

(1/2)^2 - ((-3/4)+1)^3

1/4 - 1/64

15/64

Answer:

15/64

Step-by-step explanation:

a^2 - ( b + 1)^3

Let a = 1/2  and b = -3/4

(1/2)^2 - ( -3/4 + 1)^3

Parentheses first

(1/2)^2 - ( 1/4)^3

Exponents

1/4 - 1/64

Get a common denominator and subtract

16/64 -1/64

15/64

Answer:

D.. I think..hope it helps

Answer:

2 and 4 are correct

Step-by-step explanation:

1 is incorrect because 4/5 being bigger than 7/10

3 is incorrect because 2/3 is more than 5/9

Statement:-

The sum of all the interior angles of a triangle is 180°. This is known ad the angle sum property of a triangle.

Proof :-

Consider a

Answer:

98

Step-by-step explanation:

97 is prime, so its only factors are 1 and 97, which add to 98.

100 is the common difference of the given sequence

An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is the number of elements.

Given the sequence below

8, 108, 208, 308...

The nth term of an arithmetic sequence is given as Tn = a + (n-1)d

The common difference is the difference between the preceding and the succeeding term.

First term = 12

Second term = 20

Common difference = 108 -8 = 208 - 108

Common difference = 100

Hence the common difference of the sequence is 100

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Answer:

10

Step-by-step explanation:

The measure of an angle∠I  is 10 degrees between the 450 cm and 640 cm sides.

The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.

c² = a² + b² − 2ab cos(C)

The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.

In the given triangle ΔHIJ,

Sides:

h = 450 m

i = 210 m

j = 640 m

The angle of ∠I  is 10 degrees between the 450 cm and 640 cm sides.

According to the cosine rule,

j² = h² + i² − 2ab cos(I)

Substitute the values in the Cosine Rule,

450² = 210² + 640² - 2(210)(640)cos(I)

After solving we get the value of  angle ∠I :

∠I = 9.56038°

Rounded to the nearest degree.

∠I = 10°

Thus, the measure of an angle∠I  is 10 degrees.

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Answer:

-14

Step-by-step explanation:

You know that x is -7, so to find what x2 ( or x *2) then just do -7 * 2

With that you get -14

(I used '*' as times)

Hope this helps! <3

Answer:

Step-by-step explanation:

The equation of the new graph is y =|x - 5| + 4|

The new equation of the graph is y = |x-5| + 4 which is determined by shifting up by 4 units and to the right by 5 units for a given function.

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The equation of the graph of y = |x| can be transformed by shifting it up by 4 units and to the right by 5 units. To do this, we add 4 to the y-coordinate and add 5 to the x-coordinate. The new equation of the graph is y = |x-5| + 4

This equation can be understood by considering the function of absolute value:

y=|x| is a function that returns the absolute value of x.

and

y=|x-5| + 4 is a function that returns the absolute value of (x-5) and then adds 4 to it.

In other words, the new graph is the same as the original one but with x coordinate shifted right by 5 units and the y coordinate shifted upward by 4 units.

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The area of the window is 305.12 square inches.

given that

jaylon created this stained glass window the upper two coners are quater ciecleseach with a radius of 4 inches.

The window's area is equal to the sum of the areas of a rectangle, two quarter circles, and the smaller square between the two upper corners.

The quantity of space occupied by a flat surface with a specific shape is referred to as the area.

now, find the area of rectangle

A = length x breadth

A = 12 x (26-4)

A = 12 x 22

A = 264 square inches

find the area of the two quarter circle

\( A= 2( \frac{1}{4} (3.14) \times {4}^{2} ) \\ A = 25.12 {in}^{2} \)

Find the area of the smaller square between the two upper corners

A = (12-8) (4)

A = 4 x 4

A = 16 sq.in

now, find the total area

A = 264 + 25.12 + 16

A = 305.12 square inches

Hence, the area of the window is 305.12 square inches.

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Answer:

Step-by-step explanation:

2v-6=-14, add 6 to both sides

2v=-8, divide both sides by 2

v=-4

Answer:

v= -4

Step-by-step explanation:

-14 =2v-6

6-14=2v

-8=2v

-4=v

Answer:

F

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 5500 × 0.06 × 2.5 = 825

I = $ 825.00

The simple interest accumulated

on a principal of $ 5,500.00

at a rate of 6% per year

for 2.5 years is $ 825.00.

a) Monthly payment = $489.77

b) John will paying $163.69 less per month

c) John will end up saving $3,943.28

d) John's car will be worth approximately $23,142.58

e) John actually lost $8,182.86 at the end of the 4-year loan.

The interest rate is the percentage of the amount of money borrowed, lent or invested that is charged or earned as a fee or return over a certain period of time. It is usually expressed as an annual percentage rate (APR) and can be fixed or variable depending on the type of loan or investment.

a) To calculate John's monthly payments, we need to use the formula for the present value of an annuity, which is:

PMT = P*(r/12)/(1-(1+r/12)^(-n*12))

Where PMT is the monthly payment, P is the principal amount (the amount financed after the down payment), r is the monthly interest rate, and n is the number of years.

So, we have:

P = 32,451 - 3,500 = 28,951

r = 0.055/12

n = 6

PMT = 28,951*(0.055/12)/(1-(1+0.055/12)^(-6*12)) = $489.77

Therefore, John's monthly payments would be $489.77.

b) Using the same formula, we can calculate John's monthly payments with the special financing:

P = 28,951

r = 0.0475/12

n = 4

PMT = 28,951*(0.0475/12)/(1-(1+0.0475/12)^(-4*12)) = $653.46

So, John's monthly payments with the special financing would be $653.46.

Difference in monthly payments between the above options is:

$653.46 - $489.77 = $163.69

Therefore, John would have to pay $163.69 more per month with the special financing.

c) To calculate how much John will save by going with the special financing, we need to calculate the total cost of each option.

For the original financing, the total cost can be found by multiplying the monthly payment by the number of payments:

Total cost = $489.77 * (6 * 12) = $35,268.72

For the special financing, the total cost is:

Total cost = $653.46 * (4 * 12) = $31,325.44

Therefore, John will save:

$35,268.72 - $31,325.44 = $3,943.28

So, John will end up saving $3,943.28 by going with the special financing.

d) To calculate the value of John's car when he finishes paying off his loan, we need to use the formula for continuous compounding:

A = P*e^(rt)

Where A is the final amount, P is the initial amount (the purchase price of the car), e is the mathematical constant e (approximately 2.71828), r is the annual interest rate, and t is the time in years.

The car depreciates at a continuous rate of 6%, which means that the value of the car decreases by 6% every year. So, the effective annual rate of depreciation is:

r = e^(-0.06) - 1 = -0.0589

Note that we use a negative value for r, since the value of the car is decreasing.

John will finish paying off his loan in 4 years. So, the time t is 4 years.

Therefore, the value of John's car when he finishes paying off his loan is:

A = 32,451e^(-0.05894) = $23,142.58

So, John's car will be worth $23,142.58 when he finishes paying off his loan.

e) To calculate how much John actually lost at the end of the 4-year loan, we need to subtract the value of his car at the end of the loan from the total amount he paid:

Total amount paid = $653.46 * (4 * 12) = $31,325.44

Value of car at end of loan = $23,142.58

Amount lost = Total amount paid - Value of car at end of loan

= $31,325.44 - $23,142.58  =  $8,182.86

Therefore, John actually lost $8,182.86 at the end of the 4-year loan.

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Answer:

$55.88

Step-by-step explanation:

Step 1: 51.50 times 8.5% = 4.3775

Step 2: Add 51.50 plus 4.3775

Step 3: 55.8775 round to the hundreth place.

Step 4: Skylar spent $55.88 after tax

Answer:

f(-2) = 4

f(0) = 6

f(5) = 11

Step-by-step explanation:

You just need to plug in the different values of x into the equation

f(x)=x+6

When x = -2, then f(-2) = -2 + 6 = 4

When x = 0, then f(0) = 0 + 6 = 6

When x = 5, then f(5) = 5 + 6 = 11

f(5) = 11 , f(0) = 6 , f(-2) = 4

Given expression:

f(x) = x + 6

Find:

f(−2), f(0), f(5)

Computation:

f(x) = x + 6

When x = -2

f(-2) = -2 + 6

f(-2) = 4

When x = 0

f(0) = 0 + 6

f(0) = 6

When x = 5

f(5) = 5 + 6

f(5) = 11

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We will investigate the translation transformation applied on a figure defined on a cartesian coordinate grid.

Translation transformation deals with the displacement of the primary vertices of a figure like a square JKLM with certain number off units in horizontal and/or vertical direction.

We will investigate the type of translations that are possible as follows:

Where,

AND,

We will investigate how to use the above rule to determine the image of the square JKLM.

We will translate each vertex 5 units left and 6 units down! We will assign the constants a value according to the translation units:

The general rule that will be applied to the vertices of the square JKLM:

The four coordinate of the square are:

Applying the general rule to determine the image of all vertices:

The image of the square JKLM is as follows:

We can plot these images on the grid as follows:

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

\((\stackrel{x_1}{-16}~,~\stackrel{y_1}{-69})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-33}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-33}-\stackrel{y1}{(-69)}}}{\underset{\textit{\large run}} {\underset{x_2}{8}-\underset{x_1}{(-16)}}} \implies \cfrac{-33 +69}{8 +16} \implies \cfrac{ 36 }{ 24 } \implies \cfrac{ 3 }{ 2 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-69)}=\stackrel{m}{ \cfrac{ 3 }{ 2 }}(x-\stackrel{x_1}{(-16)}) \\\\\\ y +69 = \cfrac{ 3 }{ 2 } ( x +16)\implies y+69=\cfrac{ 3 }{ 2 }x+24\implies {\Large \begin{array}{llll} y=\cfrac{ 3 }{ 2 }x-45 \end{array}}\)

Economic equilibrium is a condition or state in which economic forces are balanced. In effect, economic variables remain unchanged from their equilibrium values in the absence of external influences.

Economic equilibrium is also referred to as market equilibrium. Economic equilibrium is the combination of economic variables (usually price and quantity) toward which normal economic processes, such as supply and demand, drive the economy. The term economic equilibrium can also be applied to any number of variables such as interest rates or aggregate consumption spending. The point of equilibrium represents a theoretical state of rest where all economic transactions that “should” occur, given the initial state of all relevant economic variables, have taken place.

In a competitive market, demand for and supply of a good or service determine the equilibrium price.

MARKETS:

Equilibrium is achieved at the price at which quantities demanded and supplied are equal. We can represent a market in equilibrium in a graph by showing the combined price and quantity at which the supply and demand curves intersect.

For example, imagine that sellers of squirrel repellant are willing to sell 500 units of squirrel repellant at a price of $5 per can. If buyers are willing to buy 500units of squirrel repellent at that price, this market would be in equilibrium at the price of $5 and at the quantity of 500 cans.

Whenever markets experience imbalances—creating disequilibrium prices, surpluses, and shortages—market forces drive prices toward equilibrium.

A surplus exists when the price is above equilibrium, which encourages sellers to lower their prices to eliminate the surplus.

A shortage will exist at any price below equilibrium, which leads to the price of the good increasing.

For example, imagine the price of dragon repellent is currently $6 per can. People only want to buy 400 cans of dragon repellent, but the sellers are willing to sell 600 cans at that price. This creates a surplus because there are unsold units. Sellers will lower their prices to attract buyers for their unsold cans of dragon repellant.

Changes in the determinants of supply or demand result in a new equilibrium price and quantity. When there is a change in supply or demand, the old price will no longer be an equilibrium. Instead, there will be a shortage or surplus, and price will subsequently adjust until there is a new equilibrium.

For example, suppose there is a sudden invasion of aggressive unicorns. There will be more people who want to buy unicorn repellent at all possible prices, causing demand to increase. At the original price, there will be a shortage of unicorn repellant, signaling sellers to increase the price until the quantity supplied and quantity demanded are once again equal.

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354 Valencia student tickets and 133 non-student tickets were sold.

Let's use algebra to solve the problem. Let

x be the number of Valencia student tickets sold

y be the number of non-student tickets sold

We know that

x + y = 487 (the total number of tickets sold is 487)

14x + 25y = 8391 (the total receipts from ticket sales is $8391)

We can use the first equation to express one of the variables in terms of the other. For example, we can solve for y

y = 487 - x

Here we have to use the substitution method, we can then substitute this expression for y into the second equation

14x + 25(487 - x) = 8391

Simplifying and solving for x

14x + 12275 - 25x = 8391

-11x = -3884

x = 354

So, 354 Valencia student tickets were sold. We can use the first equation to find y

x + y = 487

354 + y = 487

y = 133

So, 133 non-student tickets were sold.

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To calculate the probability of selecting more than 6 balls before getting the first red ball, we need to find the probability of selecting 7, 8, 9, or 10 white balls before getting the first red ball. The probability of selecting a white ball on the first draw is 20/30 or 2/3. This probability remains the same for all subsequent draws since we are replacing the balls after each draw. Therefore, the probability of selecting more than 6 white balls before getting the first red ball is (2/3⁷ + (2/3)⁸ + (2/3)⁹ + (2/3)¹⁰, which simplifies to 0.9122.

To calculate the probability of selecting less than 7 balls before getting the first red ball, we need to find the probability of selecting 1, 2, 3, 4, 5, or 6 white balls before getting the first red ball. The probability of selecting a red ball on the first draw is 10/30 or 1/3. Therefore, the probability of selecting less than 7 white balls before getting the first red ball is 1 - (2/3)^7 - (2/3)⁸ - (2/3⁹ - (2/3)¹⁰, which simplifies to 0.8683.

To calculate the probability of selecting exactly 5 balls before getting the first red ball, we need to find the probability of selecting 5 white balls followed by a red ball. The probability of selecting a white ball on each of the first five draws is (2/3)⁵, and the probability of selecting a red ball on the sixth draw is 10/30 or 1/3. Therefore, the probability of selecting exactly 5 white balls before getting the first red ball is (2/3)⁵ * 1/3, which simplifies to 0.0658.

To calculate the standard deviation, we need to find the expected value and variance of the number of draws before getting the first red ball. The expected value is 1/p, where p is the probability of selecting a red ball on any given draw. Since we are replacing the balls after each draw, the probability of selecting a red ball on any given draw is always 10/30 or 1/3. Therefore, the expected value is 1/(1/3) or 3. The variance is (1-p)/(p²), which simplifies to 2/p - 1/p². Plugging in p = 1/3, we get a variance of 6 - 9 or -3. Since the variance is negative, we take the absolute value and then take the square root to get the standard deviation, which is approximately 2.45.

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Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.

Given:

At the local dairy farm, kareem buys a 32-oz container of yogurt for $2. 56. Jonah buys a 6-oz container of yogurt for $0. 48.

y varies directly as x :

y = kx

k = constant of proportionality

y = 2.56 and x = 32

y = kx

k = y/x

= 2.56/32

k = 0.08

substitute k we get

y = 0.08x.

so x and y are directly proportional.

Therefore Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.

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