3-11-(-6) subtract this and thank youuuuuu

Answer:

  E.  a^(1/3)b^(1/6)

Step-by-step explanation:

You want an expression equivalent to (a^(2/3)b^(1/3))^(1/2).

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

The given expression simplifies to ...

  [tex](a^{2/3}b^{1/3})^{1/2}=a^{(2/3)(1/2)}b^{(1/3)(1/2)}=\boxed{a^{1/3}b^{1/6}}[/tex]

The nail protrudes 5[tex]\frac{9}{15}[/tex] inches from the other side of the board having a thickness of  2[tex]\frac{2}{5}[/tex] inches

Given that A nail 6 [tex]\frac{1}{3}[/tex] inches long is driven into a board 2 [tex]\frac{2}{5}[/tex] inches thick and asked to find out how much the nail protrudes into the board.

To calculate the nail protrudes, need to subtract the length of the nail and the thickness of the board.

Length of nail protrudes= 6 [tex]\frac{1}{3}[/tex] - 6 [tex]\frac{1}{3}[/tex]

Length of nail protrudes=[tex]\frac{19}{3}[/tex]-[tex]\frac{12}{5}[/tex]

Length of nail protrudes=[tex]\frac{59}{15}[/tex]

Length of nail protrudes= 5[tex]\frac{9}{15}[/tex] .

Therefore,The nail protrudes 5[tex]\frac{9}{15}[/tex] inches from the other side of the board having a thickness of  2[tex]\frac{2}{5}[/tex] inches

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Answer:

[tex]x \in \mathbb{R}-\{0,1\}[/tex]

Step-by-step explanation:

The denominator cannot be 0 (since division by 0 is undefined), meaning x cannot be 0 or 1.

So, the domain is

[tex]x \in \mathbb{R}-\{0,1\}[/tex]

Answer:

[tex]y=-\frac{5}{7}x+5[/tex]

Step-by-step explanation:

The equation of a line can be written in the form of y= mx +c, where m is the slope and c is the y-intercept. This is also known as the slope-intercept form.

Identify the value of the slope, m:

Given that the slope is [tex]-\frac{5}{7}[/tex], m= [tex]-\frac{5}{7}[/tex].

Substituting the value of m into the equation:

[tex]y=-\frac{5}{7} x+c[/tex]

Identify the value of the y-intercept:

Given that the y-intercept is 5, c= 5.

Substitute c= 5:

[tex]\bf{y=-\frac{5}{7}x+5}[/tex]

Thus, the equation of the line is [tex]\bf{y=-\frac{5}{7} x+5}[/tex].

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Answer:

1/6 is greater than 0.16

Step-by-step explanation:

0.16 as a fraction is 4/25

4/25 < 1/6

Answer:

TRUE

Step-by-step explanation:
na sa inyo na answer

Answer:

Add your questions

Step-by-step explanation:

Answer:

280. Answer choice D

Step-by-step explanation:

1st month: 60 meals

2nd month: 33% more than 1st month - 80 meals

(1 + (33/100)) * 60 = (1.33)(60) = 79.8 meals (Round to 80 meals)

3rd month: 2(60+80) = 280 meals

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(M) 280

Step-by-step explanation:

The first month the girls delivered 60 meals. For the second month 133% of 60 is (60 x 1.33) 79.8 which is ~ 80 meals. 80 + 60 = 140, 140 x 2 = 280

The answer is (M) 280

Marty will have to pay $18,000 for his $15,000 car.

While taking out a loan, the amount taken has to be repaid along with an interest. Thus, the amount paid back by the borrower is always greater than the initial amount that the borrower gets from the lender as a loan.

Here, we are given that Marty has to pay $500 per month for 3 years to repay the loan for his $15,000 car.

Thus, for one month he pays = $500

and also we know that 1 year = 12 months

⇒ 3 years = 12(3) = 36 months

Therefore, for 36 months Marty will have to pay,

500 × 36 = 18,000

Thus, Marty will have to pay $18,000 for his $15,000 car.

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The price of one pound is $0.8.

This problem can be solved by unitary method. To understand this we must know that in this method we need to calculate the value of a unit of product and then multiply that value with the required value for which we have to calculate the value.

Given, that the weight of the apple is 5.2 pounds.

Cost of the apple is = $4.16

Therefore the cost of one pound of apple = [tex]\frac{4.16}{5.2}[/tex]

                                                                 = $0.8

So, to buy a pound of apple one must pay $0.8.

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The cost of a Token from the question is; $7.2

We are told that Jane and Jim spend the same amount of money today.

Now, Jim spent 5.25 dollars on food and rode the train 3 times, and Jane spent 12.45 dollars on food and rode the roller coaster twice.

Assuming cost of a token is T, the the algebraic expression formed is;

5.25 + 3T = 12.45 + 2T.

3T - 2T = 12.45 - 5.25

T = $7.2

Thus, we conclude that the cost of a Token is; $7.2

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Answer: Answer  2, Triangle A is dilated from the origin by a scale of 1/2 to obtain triangle B

Step-by-step explanation:

Answer: 4/15

Step-by-step explanation:

3 hours=

3*60 minutes=180 minutes

48:180=

(24*2):(90*2)=

(12*2*2):(45*2*2)=

(4*3*2*2):(15*3*2*2)=4/15

Answer:

Linear?

Step-by-step explanation:

its been years since I've seen this so I'm not sure

Answer:

$25.70 (nearest cent)

Step-by-step explanation:

Given:

[tex]\begin{aligned} \textsf{Net Asset Value}_{\textsf{(Per Share)}} & =\dfrac{\textsf{Fund Assets}-\textsf{Fund Liabilities}}{\textsf{Total number of Outstanding Shares}}\\\\\implies \textsf{Net Asset Value}_{\textsf{(Per Share)}} & = \dfrac{\$39,400,000-\$3,940,000}{\$1,380,000}\\\\& = \dfrac{\$35,460,000}{\$1,380,000}\\\\& = \$25.69565217...\\\\\end{aligned}[/tex]

Therefore, the Net Asset Value (NAV) per share is $25.70 (nearest cent).

The given information is,

→ x = $39,400,000

→ y = $3,940,000

→ z = 1,380,000

Formula we use is,

→ (x - y)/z

Now the net asset value per share is,

→ (x - y)/z

→ (39400000 - 3940000)/1380000

→ 35460000/1380000

→ 25.6956521739

→ ≈ $25.70

Hence, the net asset value is $25.70.

The answer is that 80 people will build the same road in 160 days.

Given that 50 people take 256 days to build a road.

And we need to find out how many days will 80 people take to build the same road.

Disclaimer: Assuming that the work done by all the people are same.

If the number of people increases, the time taken to build the road decreases in the same proportion. Clearly, the number of people varies inversely to the number of days.

Let x denote the number of days required to build the road for 80 people.

Then the ratio, 80/50 = 256/x

⇒ x = (256×50)/80 = 160

Therefore, 80 people will build the same road in 160 days.

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Answer:

30x100= 3000

Step-by-step explanation:

The number 4.1818181818... is a rational number because the number is terminating. Then the correct option is D.

If the value of a numerical expression is terminating then they are the rational number then they are called a rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

Let's check all the options, then we have

A 1.4142135623..., the number is an irrational number because the number is non-terminating.

B. 2.7182818284..., the number is an irrational number because the number is non-terminating.

C 3.1415926535..., the number is an irrational number because the number is non-terminating.

D 4.1818181818..., the number is a rational number because the number is terminating.

The number 4.1818181818... is a rational number because the number is terminating. Then the correct option is D.

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Simplifying  the quantity 10 minus three fourths times the square root of 16 end quantity squared plus the quantity 2 minus 7 end quantity squared is: c. 74.

The given expression:

(10 - 3/4 × ✓16)² + (2 - 7)²

Hence,

Now let simplify the expression

(10 - 3/4 × ✓16)² + (2 - 7)²

=(10 - 3)² + (-5)²

= 7² + 5²

= 49+ 25

= 74

Therefore simplifying  the quantity 10 minus three fourths times the square root of 16 end quantity squared plus the quantity 2 minus 7 end quantity squared is: option c. 74.

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The first flight is 2 hours and second flight is 2 hours and 48 minutes

The two distances are the same (out and back),

so set them equal.

That distance is cover by having one is (rate)(time) equal to other is (rate)(time).

Let,

One time is “x” and the other is “4.8-x.”

One average rate  is 460 per hour

and the other average rate is 500 per hour.

we know , Speed = [tex]\frac{distance}{time}[/tex]

so , distance = speed × time

put in this formula we get the value of X

⇒460 x = 500 (4.8 -x)

⇒460 x = 2400 - 500x

⇒900 x = 2400

⇒x = 2.5 hours for the slower plane.

⇒4.8- x = 2.3 hours for the faster plane.

The formula speed = distance ÷ time can be rearranged, just like any other equation.

Here detail explanation about relation between speed distance and time :

The formula can be rearranged in three ways:

speed = distance ÷ time

distance = speed × time

time = distance ÷ speed

To calculate one of the variables (speed, distance or time) we need the other two.

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Z-score of 10 is -1.25; Z-score of 20 is 1.25; Z-score of 12 is -0.75; Z-score of 17 is 0.50; and Z-score of 16 is 0.25.

To calculate this, we use the following notations and formulas:

Mean = (sum of the values) / n

Variance = ((Σ(x - mean)^2) / (n - 1)

SD = Standard deviation = Variance^0.5

Z-score = (x - Mean) / SD

Where;

n = number of obsrvations = 5

x = each observation

We now proceed as follows:

Mean = (10 + 20 + 12 + 17 + 16) / 5 = 15

Variance = ((10-15)^2 + (20-15)^2 + (12-15)^2 + (17-15)^2 + (16-15)^2) / (5-1) = 64 / 4 = 16

SD = Variance^0.50 = 16^0.5 = 4

Z-score of 10 = (10 – 15) / 4 = –1.25

Z-score of 20 = (20 - 15) / 4 = 1.25

Z-score of 12 = (12 - 15) / 4 = –0.75

Z-score of 17 = (17 - 15) / 4 = 0.50

Z-score of 16 = (16 - 15) / 4 = 0.25

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The slope of f is m= -0.05577.

Given : The winning times for the​ 200-meter dash can be approximated by  f(x) = - 0.05577x+146.2 , where x is the year.

To find : The slope of f

Solution : Using slope intercept form a linear function is represented as

y = mx+b

where, m is the slope and b is the y-intercept.

We can write the function as  f(x) = - 0.05577x+146.2

Comparing with slope intercept form,

m= -0.05577 and y-intercept = 146.2

Therefore, The slope of f is m= -0.05577

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Answer:

x=±7; y=12.25.

Step-by-step explanation:

1) x-interception:
(y=0): x²=49, ⇒ x=±7;

2) y-interception:

(x=0):  4y=49; ⇒ y=12.25.

Answer:

Step-by-step explanation:

Solve for x

7/8 of x is 14

7/8x = 14

x = 14 : 7/8

x = 14 * 8/7

x =16

----------------

check

7/8 * 16 = 14

14 = 14

the answer is good

Answer:

c

Step-by-step explanation:

7x²-36x+5= 7x²-x-35x+5

=x(7x-1)-5(7x-1)

=(7x-1)(x-5)

The intersection is the set of all elements in both sets, so the answer is {-2, 4, 8}.

The union is the set of all elements in at least one of the sets, so the answer is {-2, 0, 3, 4, 5, 6, 8}.

Answer: 2x - 8= 18

2x - 8=18

2x=26

x= 13

Value of x for the given data sin(3x-35)°-cos(x+20)°=0, where x is an acute angle is equal to 8.75°.

As given in the question,

Given data :

sin(3x-35)°-cos(x+20)° = 0     __(1)

As we know  x is an acute angle  ,

cos (90 - α)° =sinα°

⇒ sin (3x -35)° =cos (90 -(3x - 35))°

⇒ sin (3x -35)°=cos (55 -3x )° ___(2)

Substitute the value of sin (3x -35)° from (2) to (1),

cos(55 -3x)° -cos(x+20)°=0

⇒cos(55 -3x)° =cos(x+20)°

⇒55 -3x=x+20

⇒x=8.75°

Therefore, value of x for the given data sin(3x-35)°-cos(x+20)°=0, where x is an acute angle is equal to 8.75°.

The complete question is :

Given that sin(3x-35)°-cos(x+20)° =0 and x is an acute angle, find it's value.

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Given that the between 16 and 20 minutes driving times to the campus is uniformly distributed, the mean driving time is 18 minutes

The correct option is therefore;

The time it takes to drive from the apartment to the campus = Between 16 and 20 minutes

The mean of a continuous uniform distribution between two boundaries, a and b is given by the formula;

[tex] \mu = \frac{a+b}{2} [/tex]

The mean amount of time it takes to drive to campus is therefore;

[tex] \mu = \mathbf{\frac{16+20}{2}} = 18 [/tex]

The correct mean driving time is the option;

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