simply (i+4)+(2i-3)

what’s the answer to this??

Answer:

5x+4

Step-by-step explanation:

I hope this helps!!! :))

The linear combination is:

3 = -237 * 72 + 1 * 33

To complete the linear combination, we can substitute the values from the given sequence and solve for the coefficients.

From the given sequence:

3 = 33 - 6 * (72 - 3 * 33)

Simplifying the expression:

3 = 33 - 6 * 72 + 18 * 33

3 = 33 - 432 + 594

Combining like terms:

3 = 195 - 432

Rearranging the equation:

432 = 195 + 3

Comparing the coefficients of 72 and 33, we have:

3 = ___ * 72 + ___ * 33

The coefficients are:

3 = -237 * 72 + 1 * 33

Therefore, the linear combination is:

3 = -237 * 72 + 1 * 33

Learn more  about linear here:

https://brainly.com/question/31510530

#SPJ11

Answer:

Step-by-step explanation:

Step-by-step explanation:

the formula for finding curved surface area of the cone is is pi ×r ×l

Answer:

V =134.4 ft^3

Step-by-step explanation:

Volume is

V = l*w*h

V = 7*4*4.8

V =134.4 ft^3

The limit of the fraction as x approaches 3 is 4.

We can use algebraic manipulation to simplify the fraction.

StartFraction x squared minus 12 Over x squared minus 3 x EndFraction

= StartFraction x squared minus 12 Over x squared minus 3 x EndFraction x squared

= StartFraction x squared minus 12 x squared Over x squared times x squared minus 3 x EndFraction

= StartFraction x squared times x squared minus 12 x squared Over x squared times x squared minus 3 x EndFraction

= StartFraction x to the fourth minus 12 x squared Over x squared times x squared minus 3 x EndFraction

Now we can plug in x = 3 to get the limit:

= StartFraction 3 to the fourth minus 12 x 3 squared Over 3 squared times 3 squared minus 3 x EndFraction

= StartFraction 81 - 36 Over 27 - 9 EndFraction

= StartFraction 45 Over 18 EndFraction

= 4

Learn more about fraction here

https://brainly.com/question/10354322

#SPJ4

Answer:

  y = -5/7x -1/7

Step-by-step explanation:

You want the equation -5x -7y = 1 written in slope-intercept form.

The slope-intercept form of the equation for a line is ...

  y = mx +b

We can put the given equation into this form by solving for y.

  -5x -7y = 1

  -7y = 5x +1 . . . . . add 5x to get the y-term by itself

  y = -5/7x -1/7 . . . . divide by -7

The circumference of a circle with a radius of 35 feet is approximately 220 feet.

The circumference is the distance around the outer edge of a circle. It is the total length of the boundary or the perimeter of a circle.

The formula for the circumference (C) of a circle is:

C = 2πr

where r is the radius of the circle and π is the mathematical constant pi.

Using the given radius of 35 feet and the value of π as 22/7, we can calculate the circumference as:

C = 2(22/7)(35)

C=44×5

C = 220

Therefore, the circumference of a circle with a radius of 35 feet is approximately 220 feet.

To know more about perimeter, visit:

https://brainly.com/question/6465134

#SPJ1

The correct option is a. 2.75% p.a. compounding yearly, as it is equivalent to an effective interest rate of 2.75% per annum.

To determine which compounding rate is equivalent to an effective interest rate of 2.75% per annum, we can compare the options and calculate their respective effective interest rates.

a. 2.75% p.a. compounding yearly:

The effective interest rate for this option is already given as 2.75% per annum. Therefore, this option is equivalent to an effective interest rate of 2.75% p.a.

b. 2.6% p.a. compounding monthly:

To calculate the effective interest rate for monthly compounding, we can use the formula:

Effective Interest Rate is calculated as (1 + (Nominal Interest Rate / Number of Compounding Periods))(Number of Compounding Periods - 1)

In this case, the nominal interest rate is 2.6% per annum, and the compounding is done monthly.

Effective Interest Rate = (1 + (0.026 / 12))^12 - 1

Calculating this expression, we find that the effective interest rate is approximately 2.6455% per annum.

c. 2.6% p.a. compounding monthly:

This option has the same nominal interest rate and compounding frequency as option b. Therefore, the effective interest rate will also be approximately 2.6455% per annum.

Comparing the effective interest rates calculated for each option, we can see that the effective interest rate of 2.75% p.a. corresponds to option a, which is "2.75% p.a. compounding yearly."

Thus, the appropriate option is "a".

Learn more about interest rate:

https://brainly.com/question/31261623

#SPJ11

Answer:

-(5x+8)(x - 3)

Step-by-step explanation:

add and subtract second term to expression and factor using grouping

Answer:

I believe not statistical.

Step-by-step explanation:

Answer:

Infinitely many solutions

Step-by-step explanation:

-3 +4b+6=9+4b-6

subtract 4b on both sides( canceling equal terms on both sides)

calculate the sum:

-3+6=9-6

-3+6= 3

9-6=3

3=3

Answer: 45 minutes for BOTH workouts

Step-by-step explanation:

Let time for plan a be x

Let time for plan b be y

On Wednesday

# of clients for plan a are 5

# clients for plan b are 3

On Thursday

# of clients for plan a are 7

# of clients for plan b are 9

Wednesday eqn --> 5x+3y=6

Thursday eqn --> 7x+9y=12

Multiply Wednesday equation by -3 and use elimination to solve

-15x-9y=-18

7x+9y=12

-8x=-6

x=6/8

Reduce: x=3/4 hour

Substitute x=3/4 into Thursday equation

7(3/4)+9y=12

9y=27/4

y=3/4

Therefore, the length of BOTH the plan a and plan b workouts were 45 minutes

If the shape A is translated four squares right and two squares up, the resulting coordinate point will be at (-2, 5), (-2, 2) and (0, 2)

Translation is a transformation technique of changing the position of an object on the xy plane

Given the coordinates of the vertices (1, 4), (1, 1), (3,1)

If the shape A is translated three squares right and one squares up, the resulting coordinate point will be at (-2, 5), (-2, 2) and (0, 2)

Note that 4 was subtracted from the x-axis and 2 added to the y-coordinates.

Learn more on translation here: https://brainly.com/question/12861087

#SPJ1

The value of r = 9.078.

pv = nrt. The factor “r” in the ideal gas law equation is known as the “gas constant”. r = \(\frac{pv}{nt}\). The pressure times the volume of a gas divided by the number of moles and temperature of the gas is always equal to a constant number.

so the student weights out .0422 grams of the magnesium metal so from here we can calculate that more's, the magnesium that he used, that is the mass of the magnesium over the more mass, which is .024422 over 24 point. That's equal to about .001758. More so also, it says the magnesium metal is react with excessive hydrochloric acid and produce hydrogen gas. A sample of the hydrogen gas is collected over water in a meter at 22 cecr, the volume of clictic gas is 43.9 and mastic pressure. Is that so using the experimental and collected data calculated are in the percent error? So we know the magnesium react with hydrochloride. The reaction ratio is 1 to 2 and we produce 1. More is the hydrogen and 1. More is magnesium chloride. So from this equatium we know that more of the hydrogen that would be produced in this case is equal to the mass of the magnesium here, that's his .001758 more and set way. There's among hydrogen. The temperature is 32 (degree celcius) which we need to convert the unit into kelvin, so it's actually about field 5.15 kelvin and tells you. The volume of the gas is 43.9 in ml, which is .0439 liter and tells you the pressure of the gas is about 832 millimeter. Mercury, which is a 2 times 13332 plus ca, that's equal to about 110922.24 par. So in this case we know p v = n r t.

r = \(\frac{pv}{nt}\)

So p = 110922.24. V = 0.0439 , n = 0.001758 t =  305.15. So let's just do the calculations here.

In this case you will find r=?

Here it's about 9.078.

Learn more about percent error from the given link:

https://brainly.com/question/2138898

#SPJ4

The average conclusion is that since they are monkeys, all wookies are good chess players.

Two premises form the basis for the conclusion. All monkeys are skilled chess players, according to the first postulate. The idea that all Wookies are monkeys is the second premise. The first assumption indicates that all monkeys are brilliant chess players, and since the second premise states that all wookies are monkeys, it follows that all wookies must likewise be good chess players. The conclusion is that since they are monkeys, all wookies are good chess players. This conclusion comes logically from the two supplied premises. The conclusion is also presumptively true because the premises are believed to be true.

Learn more about average here

https://brainly.com/question/24057012

#SPJ4

Answer:

30

Step-by-step explanation:

Add all the measures 50+35+85+65+60= 210

subtract 180 from 210 and you get

210-180 = 30

we use 180 because  Example: Angles on one side of a straight line always add to 180 degrees. 30° + 150° = 180° When a line is split into 2 and we know one angle, we can always find the other one.

Answer:

3x1/8x2/5=3/20

Step-by-step explanation:

Answer:

x = ±6 or \(\sqrt{36}\)

you just take the square root of 36 to find one x

Answer: 29, 31, 36, 38...

Step-by-step explanation: The pattern is +5 and then +2

Answer: 29

Step-by-step explanation:

The pattern in this sequence is:

5 + 2 + 5 and so on

So you add 24 + 5 which equals 29

I hope I helped you with this question. Have a great day!

Answer:

3 inches

Step-by-step explanation:

Length x Width = Area

or in this case, to find the width:

Area / Length = Width

Area = 90

Length = 30

90 / 30 = 3 inches

Answer:3

Step-by-step explanation:

area is side * side so we know one side of the rectangle is 30 so we just need to find what times 30 will equal 90 ---  3*30=90

The product of the numbers or expressions is determined as  (3k³ - 24k² + 45k ) / (5k⁴ - 25k³).

The product of the numbers or expressions given is calculated by applying the following method as follows;

The given expression;

(k² −8k + 15) / 5k³   ·   3k / (k - 5)

The product of the numbers or expressions is calculated as follows;

the product of the numerators = (k² −8k + 15)·(3k)

= 3k³ - 24k² + 45k

the product of the denominators = (5k³) · (k - 5)

= 5k⁴ - 25k³

Finally, write the solution properly in fraction form as follows;

(k² −8k + 15) / 5k³   ·   3k / (k - 5) = (3k³ - 24k² + 45k ) / (5k⁴ - 25k³)

Learn more about products of numbers here: https://brainly.com/question/28794049

#SPJ1

Answer:

1,536

Step-by-step explanation:

1 pound equals 2 cups, so 8 pounds will be 16 cups.

\(\frac{16}{\frac{1}{4} }\) = 16 x 4 = 64

She can make 64 2 dozen fasnachts.  There are 24 fasnachts in 2 dozen.

64 x 24 = 1536 individual fasnachts doughnuts.

Answer:

\( \red{ \rule{1pt}{500000pt}}\) \( \red{ \rule{1pt}{500000pt}}\)

Step-by-step explanation:

The partial sum of the given sequence, 1 + 10 + 19 + ... + 199, can be found by identifying the pattern and using the formula for the sum of an arithmetic series.  Hence, the partial sum of the sequence 1 + 10 + 19 + ... + 199 equals 4497.

To find the partial sum of the given sequence, we can observe the pattern in the terms. Each term is obtained by adding 9 to the previous term. This indicates that the common difference between consecutive terms is 9.

The formula for the sum of an arithmetic series is Sₙ = (n/2)(a + l), where Sₙ is the sum of the first n terms, a is the first term, and l is the last term.

In this case, the first term a is 1, and we need to find the value of l. Since each term is obtained by adding 9 to the previous term, we can determine l by solving the equation 1 + (n-1) * 9 = 199.

By solving this equation, we find that n = 23, and the last term l = 199.

Substituting the values into the formula for the partial sum, we have:

S₂₃ = (23/2)(1 + 199),

= 23 * 200,

= 4600.

However, this sum includes the terms beyond 199. Since we are interested in the partial sum up to 199, we need to subtract the excess terms.

The excess terms can be calculated by finding the sum of the terms beyond 199, which is (23/2)(9) = 103.5.

Therefore, the partial sum of the given sequence is 4600 - 103.5 = 4496.5, or approximately 4497 when rounded.

Hence, the partial sum of the sequence 1 + 10 + 19 + ... + 199 equals 4497.

Learn more about partial sum here:

https://brainly.com/question/30339361

#SPJ11

The first term, a1, in the geometric series is -3.

What is Geometric Series?

A geometric series is a series for which the ratio of two consecutive terms is a constant function of the summation index. The more general case of a ratio and a rational sum-index function produces a series called a hypergeometric series. For the simplest case of a ratio equal to a constant, the terms have the form

To find the first term, a1, in a geometric series given the sum, Sn = 93, the common ratio, r = 2, and the number of terms, n = 5, we can use the formula for the sum of a geometric series:

Sn = a1 * (1 - r^n) / (1 - r)

Plugging in the given values, we have:

93 = a1 * (1 - 2^5) / (1 - 2)

Simplifying the expression:

93 = a1 * (1 - 32) / (-1)

93 = a1 * (-31)

Now we can solve for a1 by dividing both sides of the equation by -31:

a1 = 93 / -31

a1 = -3

Therefore, the first term, a1, in the geometric series is -3.

To learn more about Geometric Series from the given link

https://brainly.in/question/13322627

#SPJ4

Answer: The measure of ∠RTS is 102°. The answer is (d).

Step-by-step explanation:

We know that the sum of the angles in a quadrilateral is 360°. Therefore, we have:

∠R + ∠T + ∠Q + ∠S = 360°

Since RP and QS are diameters, we have ∠R = ∠P = 90° and ∠Q = ∠S = 90°. Substituting these values, we get:

90° + ∠T + 90° + ∠S = 360°

Simplifying the equation, we get:

∠T + ∠S = 180°

Now we use the fact that the measure of ∠RTQ is 12° less than the measure of ∠RTS, which can be written as:

∠RTQ = ∠RTS - 12°

Substituting this into the equation above, we get:

∠T + ∠RTS - 12° = 180°

Simplifying, we get:

∠T + ∠RTS = 192°

We can now solve for ∠RTS by substituting ∠T + ∠S = 180° into the equation above:

∠RTS = 192° - ∠T

Substituting this into the equation for ∠RTQ above, we get:

∠RTQ = (192° - ∠T) - 12° = 180° - ∠T

Since the sum of the angles in triangle RTQ is 180°, we have:

∠RTQ + ∠T + ∠R = 180°

Substituting the values for ∠R and ∠RTQ, we get:

90° + ∠T + (180° - ∠T) = 180°

Simplifying, we get:

∠T = 90°

Substituting this value into the equation for ∠RTS above, we get:

∠RTS = 192° - ∠T = 102°

Therefore, the measure of ∠RTS is 102°. The answer is (d).

To know more about quadrilateral refer here

https://brainly.com/question/29934440#

#SPJ11

Answer:

30 yards of string will remain unused

Step-by-step explanation:

Ok, there are a lot of conversions going on here.

1 yard = 3 feet,

so 50 yards • 3ft per yard = 150 feet of string on the spool

1 foot = 12 inches,

so 150 feet • 12in per foot = 1800 inches of string on the spool

There are 24 students and they each get 30 inches, multiply 24 • 30 to see how much string is used:

24 • 30 = 720 inches of string used

Find how many inches of string is left by subtracting what is used from the original amount:

1800 - 720 = 1080 inches of spool left

To make this faster, instead of dividing by 12 inches per foot and then dividing by 3 feet per yard, I'm just dividing by 36 inches per yard.

1080 ÷ 36 = 30 yards of string remaining

There are 30 yards of the string that will be leftover.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been given that Trisha gives 30 inches of string to each student.

∵ 1 yard = 3 feet,

∴ 50 yards = 150 feet of string on the spool

∵ 1 foot = 12 inches,

∴ 150 feet = 1800 inches of string on the spool

There are 24 students and they each get 30 inches,

So used inches of string :

⇒ 24×30 = 720

Now subtract the used string from the original amount:

⇒ 1800 - 720 = 1080 inches of spool left

So yards of string remaining = 1080/36 = 30.

Hence, there are 30 yards of the string that will be leftover.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2