evaluate 2/3 - 1/6 * 1/4​

Answers

Answer 1

Answer: 0.625

Step-by-step explanation:


Related Questions

Camp pine cone has 20 campers for every 6 counselors if there are 60 campers how many counselors are needed

Answers

Answer:

18

Step-by-step explanation:

20*3=60 so do 6*3 to get your answer

Rationalize the Denominator
2i/i-2

Answers

Answer:

2-4i/5

Step-by-step explanation:

[tex]\frac{2i}{i-2} *\frac{i+2}{i+2}\\=\frac{2i(i+2)}{i^2-4}\\= \frac{2i(i+2)}{-1-4}\\ =\frac{2i(i+2)}{-5} \\ = \frac{-2 + 4i}{-5}\\ =( 2 - 4i )/ 5[/tex]

Answer:

[tex]\frac{2i}{i-2}=\frac{2-4i}{5}[/tex]

Step-by-step explanation:

[tex]\frac{2i}{i-2}[/tex] (Given)

[tex]=\frac{2i}{i-2}\times \frac{i+2}{i+2}[/tex] [Multiply numerator and denominator both by (i + 2)]

[tex]=\frac{2i(i+2)}{(i-2)(i+2)}[/tex]

[tex]=\frac{2i^2+4i)}{i^2-2^2}[/tex]

[tex]=\frac{2(-1)+4i)}{-1-4}[/tex]

[tex]=\frac{-2+4i)}{-5}[/tex]

[tex]=\frac{2-4i)}{5}[/tex]

[tex]\implies \frac{2i}{i-2}=\frac{2-4i}{5}[/tex]

if A={4,7,10,13,17} and B={3,5,7,9}, then which of the following statements is true
A U B= {7}
B c A
B c B​

Answers

Answer:

good questing it is something

Step-by-step explanation:

1-1-2- --3--1234-3

3-4

Q-

-4

-24

-4

-

q 43-

43-

3 4-3

4-

4-4

- answer is 2def not cap i need 5 poinnts i gues

what is the Smallest numbers :
p = x^2 + 2x +2 / x+1 (x>-1)
t= 1/x + 4/1-x (0

Answers

Answer:

I exactly don't know the answer

The ratio of (1/5 of 245ml) to (0.2 of 0.84l)

Answers

The ratio is given by 98:0.34.

The ratio of (1/5 of 245ml) to (0.2 of 0.84ml).

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

we have  (1/5 of 245ml) to (0.2 of 0.84ml).

⇒ [tex]\frac{1}{5} 245 :0.2*0.84[/tex]

⇒[tex]98:0.34[/tex]

Thus, the required ratio is 98:0.34.

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A student has a test scores of 87, 89, 94 points. What must he score on the fourth exam to have an average of at least 92 points?

Answers

Answer: He must have atleast 98 points on the next exam in order to get an average of 92 points.

Step-by-step explanation: To calculate average, you need to add all the numbers given, and divide the sum by how many numbers there are. 87 + 89 + 94 + 98 (equals 368), and divide 368 by 4. You will get the average of 92 as its result.

833.30/
1-(1+0.00833)^-360

Answers

Answer:

833.25 or 877.59

Step-by-step explanation:

I solved this in two different ways because I wasn't sure on how the question was meant to be read.

Attempt 1:

(833.3/1)-(1+0.00833)^-360

(1+0.00833)^-360 = 0.0505

so:

833.3 - 0.0505 = 833.25

Attempt 2:

833.3/(1-(1+0.00833)^-360)

1- 0.0505 = 0.9495

833.3/0.9495 = 877.59

Determine whether or not each of the following is a partition of set N of natural numbers. (With reason)
(a) {{n | n > 5}, {n | n < 5}]
(b) [{n | n > 6}, {1, 3,5} , {2, 4}]
(c) {{n | n^2 > 11}, {n | n^2 < 11}

Answers

Only Set B  is a partition of set N of natural numbers .

What are Natural Numbers ?

Numbers starting from 1 to infinity comes under Natural Numbers.

It is asked in the question that to determine whether or not each of the following is a partition of set N of natural numbers

A  ) {{n | n > 5}, {n | n < 5}]

It is not a set of natural numbers as it does not include 5.

B  )  [{n | n ≥ 6}, {1, 3,5} , {2, 4}]

{1,3,5} {2,4}and {n|n≥6} include all the natural numbers

Therefore , it forms a partition of N.

C ) {{n | n^2 > 11}, {n | n^2 < 11}

Every natural number n must satisfy either n^2 > 11 or n^2 < 11

This cannot be possible , therefore it is not the partition of Natural Numbers.

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Factor the following expression. x² - 10x +9 2 Factor the following expression . x² - 10x +9 2​

Answers

Answer:

x² - 10x + 9 = (x-9)(x-1)

the factored expression would be (x-9)(x-1)

When factored it would be (x + 10)(x -1)

Which values are part of the solution set? Check all that apply. x = 3 x = –5 x = negative one-half x = –4.5 x = –4

Answers

The values that are part of the solution are x = -5 and x = -4.5

Number lines

Number lines are lines that are used to represent the solution to inequalities.

From the given number line with he solution x > -4, this shows that all the solutions must be values that are greater than -4.

The values that are part of the solution are x = -5 and x = -4.5

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Can someone please solve

Answers

Answer: [tex]\sqrt{7}[/tex]

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]3^2 + b^2 = 4^2\\\\9+b^2 = 16\\\\b^2 = 7\\\\b=\boxed{\sqrt{7}}[/tex]

The graph shows the function f(x) = 2x.
What is the value of x when f(x) = 8?

Answers

[tex]\large\orange\implies \rm \large \:f(x) \: = \: 2x[/tex]

We have to find x when f(x) is 8

[tex]\large\orange\implies \rm \large \:8 = \: 2x[/tex]

[tex]\large\orange\implies \rm \large \: \cancel\frac{8}{2} \: = \: x \\ [/tex]

[tex]\large\orange\implies \rm \large \: \: 4 \: = \: x[/tex]

The value of x is 4 when f(x) is 8

[tex]f(x) \: = \: 2x[/tex]

We have to find x when f(x) is 8

[tex]8 = \: 2x[/tex]

[tex]x = \frac{8}{2} \\ \\ x = 1.[/tex]

The value of x is 4 when f(x) is 8 .

Liz earns a salary of $2,200 per month, plus a commission of 5% of her sales. She wants to earn at least
$2,500 this month. Enter an inequality to find amounts of sales that will meet her goal.your
variable represents. Enter the commission rate as a decimal.

Answers

Answer:

2200 + 0.5x >= 2500

Step-by-step explanation:

x is the amount of sales

Evergreen Landscaping bought 4 tons of topsoil and 3 tons of mulch for $1460. The next week the
firm bought 5 tons of topsoil and 2 tons of mulch for $1391. Find the price per ton for each item.

Answers

Answer:  The price per ton of topsoil is $179

and price per ton of mulch is $248.

Step-by-step explanation:

Let price of 1 ton of topsoil be x

and price 1 ton of mulch be y

According to question

4x + 3y = $1460   -(i)

and 5x + 2y = $1391    -(ii)

Now solving these linear equations

By multiply (i) equation with 5 and divide it by 4

we get 5x + [tex]\frac{15}{4}[/tex]y = $1825  -(iii)

Subtract equation (ii) from equation (iii)

5x +[tex]\frac{15}{4}[/tex] y - 5x - 2y = $1825-$1391

[tex]\frac{7}{4}[/tex]y=$434

y = $434х[tex]\frac{4}{7}[/tex] = $248

put value of y in equation (i)

4x + 3($248) = $1460

4x - $744 =$1460

4x = $716

x = $179

The price per ton of topsoil is $179

the price per ton of mulch is $248.

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What is the multiplicative rate of change between 10,50 and 250

Answers

Answer:D

Step-by-step explanation:

Which expression is equivalent to the given expression? 4lh x + lh 3 - lh x

Answers

OH MY GOD BABY JUST LIKE THAT AHHH YESS

i need help. Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (5 points)
Part B: Are there any outliers present for either data set? Justify your answer mathematically. (5 points)

Answers

Five number summary and IQR of both the data sets are different.

For school A: Minimum=6, Q₁=6.5, Median= 14, Q₃=16, Maximum=17, IQR=9.5

For school B: Minimum=5, Q₁=8, Median= 12, Q₃=15.5, Maximum=19, IQR=7.5

No, the box plots are not symmetric.

Part A:

The given data sets are

School A : 9,14,15,17,17,7,15,6,6

School B : 12,8,13,11,19,15,16,5,8

Arrange the data in ascending order.

School A : 6,6,7,9,14,15,15,17,17

School B : 5,8,8,11,12,13,15,16,19

Divide each data set into four equal parts.

School A : (6,6),(7,9),14,(15,15),(17,17)

School B : (5,8),(8,11),12,(13,15),(16,19)

For school A:

Minimum=6, Q₁=6.5, Median= 14, Q₃=16, Maximum=17

The interquartile range of the data is

For school B:

Minimum=5, Q₁=8, Median= 12, Q₃=15.5, Maximum=19

[tex]IQR=Q_3-Q_1\\ =Q_3-Q_1\\ =16-6.2\\ =9.5[/tex]

The interquartile range of the data is

[tex]IQR=Q_3-Q_1\\ =Q_3-Q_1\\ =15.5-8\\ =7.5[/tex]

Part B:

The box plots are not symmetric because the data values are different. Five number summary and IQR of both the data sets are different.

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(7 + 7i)(2 − 2i)
(a) Write the trigonometric forms of the complex numbers. (Let
0 ≤ < 2.)

(7 + 7i) =

(2 − 2i) =



(b) Perform the indicated operation using the trigonometric forms. (Let
0 ≤ < 2.)



(c) Perform the indicated operation using the standard forms, and check your result with that of part (b).

Answers

The complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

[tex]\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)[/tex]

[tex]\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)[/tex]

[tex]\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}[/tex]

[tex]\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}[/tex]

=21-21i

After converting into the exponential form:

[tex]\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}[/tex]

From part (b) and part (c) both results are the same.

Thus, the complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

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Given the following functions, find and simplify (f+g)(-2).
Do not include "(f+g)(-2)=" in your answer.
f(x) = -3x² - 2x
g(x) = -2x +3

Answers

Answer:

43

Step-by-step explanation:

because if you add it up thats how you get that

Patrisse and Makayla began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Patrisse took a test in English and earned a 81.4, and Makayla took a test in Art History and earned a 60.6. Use the fact that all the students' test grades in the English class had a mean of 72.8 and a standard deviation of 11.8, and all the students' test grades in Art History had a mean of 67 and a standard deviation of 8.6 to answer the following questions. a) Calculate the z-score for Patrisse's test grade. z = [Round your answer to two decimal places.] b) Calculate the z-score for Makayla's test grade. z = [Round your answer to two decimal places.] c) Which person did relatively better? Patrisse Makayla They did equally well.

Answers

a)  Z-score for Patrisse test grade is 0.7288

b) z-score for Makayla test grade is -0.7441

c) Patrisse did better.

What is z- score?

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

Z-score for Patrisse test grade.

X= 81.4, [tex]\mu[/tex] = 72.8, [tex]\sigma[/tex] = 11.8

Z= x-  [tex]\mu[/tex] /  [tex]\sigma[/tex]

Z= 81.4 - 72.8/ 11.8

Z= 0.7288

Now, z-score for Makayla test grade.

X= 60.6, [tex]\mu[/tex] = 67, [tex]\sigma[/tex] = 8.6

Z= x-  [tex]\mu[/tex] /  [tex]\sigma[/tex]

Z= 60.6 - 67/ 8.6

Z= -0.7441

Hence, Patrisse did better as she had better z- score.

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Put the steps in order to solve the literal equation for y in terms of x.
6x+2y+ 8 = 180

Answers

Answer:

x = [tex]\frac{172-2y}{6}[/tex]

Step-by-step explanation:

6x + 2y + 8 = 180 ( subtract 8 from both sides )

6x + 2y = 172 ( subtract 2y from both sides )

6x = 172 - 2y ( divide both sides by 6 )

x = [tex]\frac{172-2y}{6}[/tex]

Find the inverse of the function.
y=x+9

Answers

Answer: [tex]y=x-9[/tex]

Step-by-step explanation:

To find the inverse of a function you must first swap the places of x and y

[tex]x=y+9[/tex]

Now solve for y

Step 1: Flip the equation.

[tex]y+9=x[/tex]

Step 2: Subtract 9 from both sides.

[tex]y+9-9=x-9\\y=x-9[/tex]

Determine the values of x and y.

Answers

Answer: x = 23, y = 40

Step-by-step explanation:

By the same-side interior angles theorem, y+30 and 110 are supplementary.

110 + y + 30 = 180 [supplementary angles add to 180 degrees]y + 140 = 180 [combine like terms]y = 40 [subtract 140 from both sides]

We know that the 3x + 1 angle and y + 30 are also congruent, so:

3x + 1 = y + 30 [congruent angles have equal measure]3x + 1 = 40 + 30 [substitute y = 40]3x + 1 = 70 [combine like terms]3x = 69 [subtract 1 from both sides]x = 23 [divide both sides by 3]

Drag the tiles to the correct boxes to complete the pairs. Match each function to its domain and range.f(x)=5x-3

Answers

f(x) is a linear function, so both the domain and the range are the set of real numbers.

the equation of lime 1 is 3x-2y=5, and the equation of lime 2 is x+2y=7. What is the point of intersection of the two lines?

Answers

Points of Intersection

To find the point of intersection for two lines, we can use substitution to solve for the coordinates.

Solving the Question

We're given:

[tex]3x-2y=5[/tex][tex]x+2y=7[/tex]

With these two equations, we can:

First isolate x in the second equationUse substitution to input in second equation into the first and solve for yUse the y-coordinate to find the corresponding x-coordinate using substitution

Isolate x in the second equation:

[tex]x+2y=7\\x =7-2y[/tex]

Substitute the second equation into the first:

[tex]3x-2y=5\\3(7-2y)-2y=5\\21-6y-2y=5\\21-8y=5\\21-8y=5[/tex]

Solve for y:

[tex]21-6y-2y=5\\21-8y=5\\-8y=-16\\y=2[/tex]

Solve for x:

[tex]x+2y=7\\x+2(2)=7\\x+4=7\\x=3[/tex]

Answer

The point of intersection of the lines is (3,2).

Base of a prism is a right triangle with legs 3 feet and 4 feet. The height is 13 feet , what is the volume?

Answers

Answer:

Triangular prisms

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h

Step-by-step explanation:

PLEASEEEEEEE PLEASEEEEEE HELPPPPPP ASAPPPP
Find the measure of angle A in degrees.

Answers

Answer:

Angles are 45, 45 and 90 degrees because

AB and BC are congruent so that means the angles eating the sides are also congruent.

So to find the congruent angles:

180-90=90/2=45 degrees

To find AC:

a²+b²=c²

x²+x²=h²

√18=√c²

3√2=c

(I don't know why it says 3√3, but I think the q is wrong)

Hope it helps!

Answer:

45 degrees

Step-by-step explanation:

This is a special right triangle with these lengths. Which leads us to find the angles of 45, 45, 90 and B is 90 so A and C are 45 degrees.

Angle PQT and Angle SQR are supplementary angles. If the measure of PQT is (3x+43)° and the measure of Angle SQR is (6x-25)°, what is the numeric measure of Angle PQT and Angle SQR?

Answers

Answer:

∠PQT = 97°

∠SQR = 83°

Step-by-step explanation:

Supplementary angles sum to 180°

⇒ ∠PQT + ∠SQR = 180°

Given:

∠PQT = (3x + 43)°∠SQR = (6x - 25)°

Therefore:

⇒ (3x + 43) + (6x - 25) = 180

⇒ 3x + 6x + 43 - 25 = 180

⇒ 9x + 18 = 180

⇒ 9x = 162

⇒ x = 18

Substitute the found value of x into the expression for each angle:

⇒ ∠PQT = (3x + 43)°

⇒ ∠PQT = (3(18) + 43)°

⇒ ∠PQT = 97°

⇒ ∠SQR = (6x - 25)°

⇒ ∠SQR = (6(18) - 25)°

⇒ ∠SQR = 83°

Check

⇒ ∠PQT + ∠SQR = 97° + 83° = 180°

What is the slope of this line? the equation for a line that passes through the points (5,-3) and (-10,15)?

Answers

Part 1: Finding slope

The slope is [tex]\frac{-3-15}{5-(-10)}=\frac{-18}{15}=\boxed{-\frac{6}{5}}[/tex]

Part 2: Finding the equation

Using the point (-10, 15) to substitute into point-slope form,

[tex]y-15=-\frac{6}{5}(x+10)\\\\y-15=-\frac{6}{5}x-12\\\\\boxed{y=-\frac{6}{5}x+3}[/tex]

Answer:

Using the given points we find that the slope is -1.2 and using the slope-point form we find that the equation of line is y+1.2x = 3.

Step-by-step explanation:

In the question, two points are given, (5,-3) and (-10,15). Using them we can find the slope using the formula, (y2 - y1) / (x2 - x1). So, the slope is

(-3-15) / (5+10) = -18 / 15 = -1.2

Now, we have to find the equation of line. We have two points and a slope. Using any one point and the slope, we can find the equation of line using slope-point form of line. Let us take (5,-3).

(y+3) / (x-5) = -1.2

y+3 = -1.2(x-5)

y+3 = -1.2x + 6

y+1.2x = 3

So, the slope of line is -1.2 and the equation of line is y+1.2x = 3.

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Tioga Company manufactures sophisticated lenses and mirrors used in large optical telescopes. The
company is now preparing its annual profit plan. As part of its analysis of the profitability of individual
products, the controller estimates the amount of overhead that should be allocated to the individual product lines from the following information.
Lenses Mirrors
Units produced ................................................................................................................ 25 25
Material moves per product line ........................................................................................ 5 15
Direct-labor hours per unit ................................................................................................ 200 200
The total budgeted material-handling cost is $50,000.
Required:
1. Under a costing system that allocates overhead on the basis of direct-labor hours, the materialhandling costs allocated to one lens would be what amount?
2. Answer the same question as in requirement (1), but for mirrors.
3. Under activity-based costing (ABC), the material-handling costs allocated to one lens would be
what amount? The cost driver for the material-handling activity is the number of material moves.
4. Answer the same question as in requirement (3), but for mirrors.

Answers

Tioga Company manufactures sophisticated lenses and mirrors used in large optical telescopes, the values are mathematically given as

MH1=$1,000MH2=$1,000MH3=$1500MH4=$1500

What is the material handling costs allocated?

Generally, the equation for Material-handling cost for one lens mathematically given as

MH1=Total projected costs for material handling /{Total number of direct labor hours x Direct labor hours per unit)

MH1={$50,000/10.000)x 200

MH1=$1,000

2)

Material-handling cost for one mirror

MH2=Total budgeted material handling cost/ Total number of direct labor hours x direct labor hours per unit

MH2={$50,000/10.000)x 200

MH2=$1,000

3) Material-handling cost per lens

[tex]MH3=\frac{Total projected costs for material handling}{\frac{Number of material moves per lens + Number of material moves per mirror}{(Total number of lenses)}}* Material moves per lens[/tex]

[tex]MH3=\frac{50,000}{\frac{5+15}{25}}*5[/tex]

MH3=$1500

4)

[tex]MH4=\frac{Total projected costs for material handling}{\frac{Number of material moves per mirror + Number of material moves per lens}{(Total number of mirror)}}* Material moves per mirror[/tex]

[tex]MH4=\frac{50,000}{\frac{5+15}{25}}*5[/tex]

MH4=$1500

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