which function is a translation of the parent absolute value function?
shift 5 units to the right
shifts 4 units down

In this case, each term in the series is n^3, where n represents the integers from 1 to 4.

Sigma notation is a way to write a series in a compact form. It uses the symbol Σ (sigma) to represent the sum of a series. The formula for sigma notation is:

Σ a_k = a_m + a_m+1 + ... + a_n-1 + a_n

where a_k represents each term in the series, m is the lower limit of the series, and n is the upper limit of the series.

Let's apply this formula to the sums in Exercises 21-28:

21. 3+3+3+3+3+3+3+3 = 3(8) = 24

Sigma notation: Σ3, m=1, n=8

In this case, each term in the series is 3, the lower limit is 1, and the upper limit is 8.

22. 11 + 3+4+5+6+7+8+10 = 54

Sigma notation: Σk, m=3, n=10

In this case, the terms in the series are the integers from 3 to 10, and k represents each term in the series.

23. 3+27+64+125 = 219

Sigma notation: Σn^3, m=1, n=4

To learn more about : integers

https://brainly.com/question/929808

#SPJ11

The distance Mrs. Smith covers is 3520 yards during the duration of the week by Friday morning.

One week has seven days in total.

Mrs. Smith walks half a mile each day after work, she walks a total of

0.5 miles/ day × 7 days/ week = 3.5 miles/ week

Now, if we calculate the distance on Friday morning, she must have walked four times till Friday morning since she has to walk after her work.

Therefore,

0.5 miles/ day × 4 days = 2 miles

To convert miles to yards, we can use the fact that there are 1760 yards in one mile:

2 miles/week × 1760 yards/mile = 3520 yards/week

Therefore, by Friday morning, Mrs. Smith will have walked 3520 yards.

To learn more about the distance at

https://brainly.com/question/26264531

#SPJ4

Monica went to the market and bought a bunch of red grapes that weighed 1/4 kilogram, another bunch of seedless grapes that weighed 1/2 kilogram, and 3/4 kilogram of loose grapes from both types. The total amount of grapes she bought is 1.5 kilograms.

Monica bought a total of grapes weighing 1/4 kilogram + 1/2 kilogram + 3/4 kilogram. To find the total amount of grapes, we need to add these fractions together.

First, we can convert the fractions to a common denominator. The common denominator for 4, 2, and 4 is 4. So we have:

1/4 kilogram + 2/4 kilogram + 3/4 kilogram

Now, we can add the fractions:

(1 + 2 + 3) / 4 kilogram

The numerator becomes 6, and the denominator remains 4:

6/4 kilogram

We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

6/4 kilogram = (6 ÷ 2) / (4 ÷ 2) kilogram = 3/2 kilogram

Therefore, Monica bought a total of 3/2 kilogram of grapes.

In decimal form, 3/2 is equal to 1.5. So, Monica bought 1.5 kilograms of grapes in total.

For more such information on:  total amount

https://brainly.com/question/29766078

#SPJ8

The question probable may be:

Monica went to the market and bought a bunch of red grapes that weighed 1/4 kilogram, another bunch of seedless grapes that weighed 1/2 kilogram, and 3/4 kilogram of loose grapes from both types. What is the total amount of grapes she bought?

They are not equal they are not complementary angles or any other equality.

Answer:

9x + 36 = 63

Step-by-step explanation:

Let x represent the number of toys that each club member donated.

There are 9 students in a service club.

If each club member donated 4 children's books for the baskets, it means that the total number of books donated by the club members would be

9 × 4 = 36

If each club member also donated an equal number of toys. It means that the total number of toys donated by the club members would be

9 × x = 9x

A total of 63 items were collected for the baskets. Therefore, the linear equation that you can use to find how many toys each club member donated would be

9x + 36 = 63

:)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x represent the number of toys that each club member donated.

There are 9 students in a service club.

If each club member donated 4 children's books for the baskets, it means that the total number of books donated by the club members would be

9 × 4 = 36

If each club member also donated an equal number of toys. It means that the total number of toys donated by the club members would be

9 × x = 9x

A total of 63 items were collected for the baskets. Therefore, the linear equation that you can use to find how many toys each club member donated would be

9x + 36 = 63

The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.

1: We can use the formula to calculate the present value of the annuity:

P = A x [1 - (1+i)^-n] / i

Where

P = Present Value

A = Annuity

i = Interest Raten = Number of payments

2: Calculate the present value of each payment using the formula:

P1 = 25000 / (1.06)⁵

P2 = 25000 / (1.06)⁶

P3 = 25000 / (1.06)⁷

P4 = 25000 / (1.06)⁸

P5 = 25000 / (1.06)⁹

P6 = 25000 / (1.06)¹⁰

P7 = 25000 / (1.06)¹¹

P8 = 25000 / (1.06)¹²

3: Substitute the values into the formula to find the present value:

P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8

P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)

P = 158620.39

Learn more about present value at

https://brainly.com/question/17010642

#SPJ11

The quadratic equation is \(x^2+x-12\)

What is quadratic equation?

Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is:

ax² + bx + c = 0

where x is an unknown variable and a, b, c are numerical coefficients.

Given, the roots of quadratic equation as (3,-4).

The formula to find the quadratic equation, as

x2 – (Sum of the roots)x + Product of the roots = 0

Sum of roots = 3-4

=-1

Product of roots = 3(-4) = -12

The quadratic equation is

x²+x-12

To know more about quadratic equation, visit:

https://brainly.com/question/17482667

#SPJ1

Answer:

Basic wage rate = $9.375 per hour

Step-by-step explanation:

Given :

Fortnight wage = $750

Basic week, hours worked per week = 40 hours

Weekly basic wage rate :

Fortnight = 2 weeks

Hence, weekly wage = fortnight wage / 2 = 750 /2 = $375

Weekly basic wage rate = $375 / Number of hours worked per week = $375 / 40 = $9.375 per hour

These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).

To find the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15), we can use the coordinates to determine the values.

First, we need to find the hypotenuse of the right triangle formed by the point (-8, -15) and the x-axis. Using the Pythagorean theorem, we get √((-8)^2 + (-15)^2) = √(64 + 225) = √289 = 17.

Next, we can determine the values of the trigonometric functions:

1. Sine (sin): -15/17
2. Cosine (cos): -8/17
3. Tangent (tan): -15/-8 = 15/8
4. Cosecant (csc): 17/-15 = -17/15
5. Secant (sec): 17/-8 = -17/8
6. Cotangent (cot): -8/15

These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).

To know more about trigonometric functions visit:-

https://brainly.com/question/29090818

#SPJ11

These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).

To find the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15), we can use the coordinates to determine the values.

First, we need to find the hypotenuse of the right triangle formed by the point (-8, -15) and the x-axis. Using the Pythagorean theorem, we get √((-8)² + (-15)²) = √(64 + 225) = √289 = 17.

Next, we can determine the values of the trigonometric functions:

1. Sine (sin): -15/17

2. Cosine (cos): -8/17

3. Tangent (tan): -15/-8 = 15/8

4. Cosecant (csc): 17/-15 = -17/15

5. Secant (sec): 17/-8 = -17/8

6. Cotangent (cot): -8/15

These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).

Learn more about trigonometric functions here:

https://brainly.com/question/33816628

#SPJ4

Answer:

(-6,7)

Step-by-step explanation:

The rotation is 180 degrees, so its means that the direction (clockwise vs counterclockwise) doesn't actually matter. With a rotation of 180 degrees, the preimage is switched to the opposite side of both the y and x-axis. This means that the rule for rotation around 180 is (-h,-k). Therefore, the answer will have the opposite signs. Thus. the image of (6,-7) is (-6,7).

Answer:

(-6, 7)

Step-by-step explanation:

the original and new points are both six units above/below the x-axis and 7 units to the right/left of the y-axis

Answer:

it represents a polynomial

Answer:I think it’s C

Step-by-step explanation:

Answer:

27.5

Step-by-step explanation:

2x-6=49

2x=55

x=27.5

Using Central Limit Theorem,

the smallest possible value of sample size , n is 452...

let Xi = 1 if item is defective or

Xi = 0 if item is not defective

Now, Xn- hat = 1/n ∑Xᵢ= sample proportion for defective items

we have to calculate smallest value of n we require P( Xn- hat <0.13 ) > 0.99

we have,. E(Xᵢ) = μ = 0.1 and variance (Xᵢ)

= (.1 ) (1 - 0.1) =( 0.1) (0.9) = σ²

Since, Xi are Bernoulli random variables

According to limit theorem ,

Z = (Xₙ- hat - u) √n/ sd ~ N(1;0) approximately when n is large

Therefore,

P ( Xₙ -hat < 0.13)

=> P (( Xₙ-hat - u)√n / sd < (0.13 - 0.1 )√n/ √0.09 )

=> P( Z < 0.03 √n/0.03 ) where Z~N(1;0)

=> P( Z< √n/10)

i.e f( √n/10 > f(2.32 ) = 0.99

=> n/ 100 > (2.32)²

=> n = (2.32)²× 100

=> n > 541.02 ~ 542

Thus, smallest possible value is 542..

To learn more about Center limit theorem, refer:

https://brainly.com/question/14099217

#SPJ4

Objects that float typically have densities less than or equal to the density of the liquid they are placed in, while objects that do not float have densities greater than the density of the liquid.

The principle behind floating and sinking lies in the concept of density. Density is defined as the mass of an object divided by its volume. When an object is placed in a liquid, such as water, it experiences an upward buoyant force equal to the weight of the liquid it displaces.

If the density of the object is less than the density of the liquid, the buoyant force will be greater than the weight of the object, causing it to float. In the case of wood floating on water, wood has a lower density than water, allowing it to float.

On the other hand, if the density of an object is greater than the density of the liquid, the buoyant force will be less than the weight of the object, causing it to sink. Objects with densities higher than that of water will sink in water because their weight exceeds the buoyant force exerted by the water.

Based on the given information about water's density, which is approximately 0.0361 pounds/cubic inch, we can conclude that objects with densities less than or equal to 0.0361 pounds/cubic inch will float on water, while objects with densities greater than 0.0361 pounds/cubic inch will sink.

In summary, the densities of objects that float are generally less than or equal to the density of the liquid they are placed in, while objects that do not float have densities greater than the density of the liquid.

Learn more about Density

brainly.com/question/29775886

brainly.com/question/15164682

#SPJ11

Answer:

-4

Step-by-step explanation:

you subtract 21 from 17 and you get -4

The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height of the cylinder.

In this case, volume V is given as 144π in^3, and the height h is given as 1 in. So, we can plug these values into the formula and solve for r:

144π = πr^2(1)

144 = r^2

r = ± 12

Since the radius must be positive, the radius of the cylinder is 12 inches.

Therefore, the radius of the cylinder is 12 inches.

Learn more about volume, here:

brainly.com/question/12428413

#SPJ11

The minor arc is arc RIH

An arc is a smooth curve joining two endpoints. An arc can also be defined as a portion or part of the circumference of a circle. The outer body of a circle is called the circumference.

There are types of arc, ; the major arc and the minor arc

The major arc is the arc on the major sector or segment. A segment is the area bounded by a chord and an arc.

The minor arc is the arc on the minor segment, the minor segment is the small portion of the segment.

Therefore arc RIH is the minor arc of the circle

learn more about arc from

https://brainly.com/question/2005046

#SPJ1

Since you can go through the non-zero rows from top to bottom and gradually come to the conclusion that the entry where they are non-zero while all the rows below them are zero forces their coefficient in a linear combination yielding a zero row to be zero, the non-zero rows are linearly independent.

Since there are no non-zero rows in a zero matrix and only one linear combination may generate a zero vector (since there are no coefficients), the limitation to non-zero matrices is unnecessary. Additionally, the empty set is linearly independent.

If you write a collection of vectors as the columns of the matrix A and solve Ax = 0, you can tell if the vectors are linearly independent. If any non-zero solutions exist

Learn more about linear independence here: https://brainly.com/question/10725000

#SPJ4

Answer:

-1

Step-by-step explanation:

The vertex form of a quadratic function is:

The standard form of a quadratic function is:

We can do the following steps to solve the exercise.

Step 1: We replace the values of h,k, x, and y into the vertex form of a quadratic equation, and we solve for a.

Step 2: We replace the values of a,h, and k into the vertex form of a quadratic equation.

Step 3: We expand the expression inside the parentheses and combine like terms to convert the function into its standard form.

The equation of the graph in standard form is:

The probability of rolling an even number in at least one of the throws is 31/32 or approximately 0.969.

The probability of not rolling an even number in a single throw is 1/2, since there are three odd numbers and three even numbers on the die. Therefore, the probability of not rolling an even number in five independent throws is (1/2)^5 = 1/32.

The probability of rolling an even number in at least one of the throws is the complement of the probability of not rolling an even number in any of the five throws. So:

P(rolling an even number in at least one of the throws) = 1 - P(not rolling an even number in any of the five throws)

= 1 - (1/32)

= 31/32

Therefore, the probability of rolling an even number in at least one of the throws is 31/32 or approximately 0.969.

for such more question on probability

https://brainly.com/question/13604758

#SPJ11

The interest rate is 10.89%

1. Given,С = 200+ 0.69YI = 80 - 1,000rG = 20NX = 850.09ee = 90M = 115YL = 0.5Y - 200rY = 300Using the equation for National Saving, we get,National Saving = Investment + Government Saving + Net exports(S – I) + (T – G) + (X – M) = 0T = 0, hence (S – I) + (X – M) = 0(1 – t)Y – C – (I + G) + NX = 0Where t = 0, we get,0.5Y – 200r – 200 – 69/100Y + 80 – 850.09e = 0.5Y – 200r – 970.09e – 120 = 0.5Y – 200r – 970.09e – 120 = 0Therefore, Y = 325.0454 - 0.5r + 4.851eThis is the equation for the IS curve.On the other hand, the equation for the LM curve is given by,Ms / P = YL(i)115 / 1 = 0.5Y - 200rTherefore, Y = 400 + 400rThis is the equation for the LM curve.The interest rate is given by the point of intersection of the two curves. Equating Y from both equations, we get,325.0454 - 0.5r + 4.851e = 400 + 400rSolving the above equation for r, we get r = 0.1089 or 10.89%..

The size of the nominal money supply in the new short-run equilibrium is 121.07.

2. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate.Flexible Exchange Rates:In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output.Real exchange rate will fall.Increase in output will be higher compared to the fixed exchange rate case.Fixed Exchange Rates:In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.Real exchange rate will remain unchanged.Increase in output will be less compared to the flexible exchange rate case.The nominal money supply in the new short-run equilibrium will change in the case of Fixed Exchange Rates. In the fixed exchange rate case, the domestic interest rate will increase, leading to an inflow of capital. This will increase the money supply and the LM curve will shift downwards until it intersects the IS curve at the new equilibrium point.

Real exchange rate will remain unchanged.

3. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate. Flexible Exchange Rates :In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output .Real exchange rate will fall. Value of the real exchange rate in the new equilibrium is 0.891.Fixed Exchange Rates: In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.

Know more about  interest rate here:

https://brainly.com/question/28236069

#SPJ11

Answer: 192,768

The sequence multiples by 4

Part1:

\( \huge{ \boxed{\bold{ \tt{48 }}}}\)

Part 2:

\( \huge{ \boxed{\bold{ \tt{768}}}}\)

Explanation:

As we can see every next number is 4 times greater than The number before it.

\(3 \times 4 = 12\)

Here we have multiplied 3 with 4 than we get our next number ie 12

\(12 \times 4 = 48\)

When we again multiplied 12 with 4 than we get next number ie 48.

So next two numbers will surely be as follows:

part 1:

\(48 \times 4 = 192✓\)

part 2:

\(192 \times 4 = 768✓\)

Answer: 7313

Step-by-step explanation:

C. e = v + 9

This is the answer

Answer:

why dont you try

C.e=v+9

it is the correct girl

Step-by-step explanation:

thank me later

Answer:

33

Step-by-step explanation:

5^2+2^3

25+2^3

25+8

33

Given:

1/9 and 2/15

we are asked to find the least common denominator and also express each fraction using least common denominator.

The common denominator of 9 and 15.

The least common denominator of 9 and 15 is 45

We multiply 5 by 9 and 3 by 15

We multiply 1 by 5 and 2 by 3

5 x 1, 2 x 3

5 x 9 3 x 15

5/45, 6/45

Therefore, the correct option is the second option, which is 5/45, 6/45

Given:

Consider the value of \(a+b\sqrt{5}\) is \((\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})\).

To find:

The values of a and b.

Solution:

According to the given information,

\(a+b\sqrt{5}=(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})\)

\(a+b\sqrt{5}=(\sqrt{5})^2-(\sqrt{3})^2\)            \([\because a^2-b^2=(a-b)(a+b)]\)

\(a+b\sqrt{5}=5-3\)

\(a+b\sqrt{5}=2\)

It can be written as

\(a+b\sqrt{5}=2+0\sqrt{5}\)

On comparing both sides, we get

\(a=2,b=0\)

Therefore, the value of a is 2 and the value of b is equal to 0.

Answer:

a=2

b=93

I hope this helps you

Step-by-step explanation:

Answer:

1. 2  

2. 93

Step-by-step explanation:

First we have to put the values of x and y into the equation

4(3)-2(5)

(4×3)-(2×5)

12-10=2

Now the second one

2(3)²+3(5)²

18+75=93