6y [tex]\geq[/tex] 30

Answer:

4 [tex]\sqrt{10}[/tex]

Step-by-step explanation:

Simplify

[tex]\sqrt{160}[/tex]

We can rewrite this as

[tex]\sqrt{16 * 10}[/tex]

Breaking this up

[tex]\sqrt{16} \sqrt{10}[/tex]

We know the square root of 16 is 4

4 [tex]\sqrt{10}[/tex]

sqrt(10) cannot be simplified so

Answer:

[tex]4\sqrt{10}[/tex]

Step-by-step explanation:

160 = 16 * 10

[tex]\sqrt{160} = \sqrt{16 \cdot 10} = \sqrt{16} \cdot \sqrt{10} = 4\sqrt{10}[/tex]

we cannot simplify further as 10 is 2*5, there are no more squares to simplify.

We have

28 = 2²•7

48 = 2⁴•3

and GCD(28, 42) = 2² = 4.

Answer:

cool hahahahhahahahahaha ano to app nato

Answer:

99 x 78 = 7722

+ 33

= 7755

x 66

Answer:

Coordinates of D are (-1, 4)

Step-by-step explanation:

I have assumed that what you wrote as 1n is actually 1/n otherwise the question does not make sense

1/n with n = 5 ==> that D is 1/5th of the distance from C on the CD line segment

Point D is 1/5th of the way from C to D

I will represent the (x, y) coordinates of points C, D and E as
[tex](x_C, y_C), (x_D, y_D) , (x_E, y_E)[/tex] respectively

Then the x-distance from C to E = [tex]x_E - x_C[/tex] and the y-distance from C to E will be [tex]y_E - y_C[/tex]

[tex]\text{1/5th of }[/tex] [tex]x_E - x_C = \dfrac{x_E - x_C}{5}[/tex] but this is relative to the location of [tex]x_C[/tex].
So we have to add this to [tex]x_C[/tex] to get the absolute x-coordinate of D

So
[tex]\displaystyle \large x_{D}=x_{C}+\dfrac{x_{E}-x_{C}}{5}[/tex]

and similarly

[tex]{\displaystyle y_{D}=y_{C}+\dfrac{y_{E}-y_{C}}{5}}[/tex]

Putting in the values for these coordinates we get

[tex]x_{D}=-2.5+\dfrac{5-(-2.5)}{5} \\\\= -2.5 + \dfrac{5 + 2.5}{5}\\\\\= -2.5 + \dfrac{7.5}{5}\\\\= - 2.5 + 1.5\\\\= -1.0[/tex]

[tex]y_{D}=1.25+\dfrac{15-1.25)}{5} \\\\= 1.25+ \dfrac{15 - 1.25}{5}\\\\\ = 1.25+ \dfrac{13.75}{5}\\\\= 1.25+ 2.75\\\\= 4.0[/tex]

So the coordinates of D are:

[tex]\boxed{D(-1, 4)}[/tex]

The graph shows the point D is indeed 1/5th of the distance from C to D

The value of h(2) for the function h(x) = 18 - 9x + x^4 is 16.

According to the given question.

We have a function h(x) = 18 - 9x + x^4

Here, we have to find the value of h(2). For this we will substiute x = 2 in the function h(x) = 18 - 9x + x^4.

Therefore, the value of h(2) for the function h(x) = 18 - 9x + x^4 is given by

h(x) = 18 - 9x + x^4

h(2) = 18 - 9(2) + 2^4

h(2) = 18 - 18 + 16

h(2) = 16

Hence, the value of h(2) for the function h(x) = 18 - 9x + x^4 is 16.

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Answer:

0.18

Step-by-step explanation:

Given: 60% students were in high school, 40% were in middle school and of the high school students, 30% had visited a foreign country

To find: probability that the student is in high school and has visited a foreign country

Solution:

Let x denotes total number of students

Number of students in high school = 60% of x =

Number of students in middle school = 40% of x =

Number of students who are in high school and have visited foreign country =  30% of Number of students in high school =

Probability that the student is in high school and has visited a foreign country = Number of students who are in high school and have visited foreign country/ Total number of students =

Answer:

Step-by-step explanation:

160% Was surveyed!

40% of 400

An absolute value inequality that represents all the distances you may be from your house is -14 ≤ x ≤ 14.

Inequality:

Basically, inequality is the relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given,

You plan on going golfing this weekend with a friend. you can either go to your favorite course which is 14 miles north of your house or to your friends favorite course which is 14 miles south of your house.

Here we need to write an absolute value inequality that represents all the distances you may be from your house.

Consider your house is in the center.

So, both sides you have the Golf course.

So, it can be written as

-14 for north side one and 14 for the south side one.

And let x be the distance between the house and the golf course.

So, it can be written as the inequality,

=> -14 ≤ x ≤ 14.

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Answer:

first order

Step-by-step explanation:

they're basically a linear function. to make it easier you could just put the coordinates on the side of the table.

well, let's take a peek, hmmm 10000 bucks at 3% over 6 years hmmm

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$10000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &6 \end{cases} \\\\\\ A=10000[1+(0.03)(6)] \implies \boxed{A = 11800}~\hfill \cfrac{\stackrel{total}{11800}}{\underset{months}{72}}\approx \underset{per~month}{163.89}[/tex]

Answer:

B

Step-by-step explanation:

i'm pretty sure it's right but could be wrong

Answer:

X = 6

Step-by-step explanation:

6-6X = 7X -9X -18  Combine 7x -9x

6 - 6x = -2x -18  Add 6x to both sides of the equation

6 = 4x - 18  Add 18 to both sides of the equation

24 = 4x  Divide both sides by 4

6 = x

Check:

6-6X = 7X -9X -18

6 - 6(6) = 7(6) -9(6) -18

6 - 36 = 42 - 54 -18

-30 = 1-12-18

-30 =-30

The value of the sales tax on the computer is 62 dollars and 93 cents.

Any number or a ratio which is expressed in terms of a fraction of 100 is known as a percentage.

Here, we are given that the price of a computer is 899 dollars.

The sales tax on the computer is 7%.

Thus, the value of the sales tax on the computer will be,

7% of 899

= 7/100 * 899

= 62.93

Thus, the sales tax on the computer comes out to be 62.93 dollars.

In 62.93 dollars, we can see that we have 62 complete dollars, plus 0.93 more dollars left.

0.93 dollars = 93 cents

Therefore, the sales tax on the computer is 62 dollars and 93 cents.

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Answer:

Step-by-step explanation:

Answer: The solution to |14|-|-14| is 0

Answer:

The answer is 0

Step-by-step explanation:

absolute value of 14 and -14 is 14 and 14 minus 14 equals 0

The values of a and b of the given matrix multiplication is gotten as; a = 2 and b = 3

To multiply matrix, we follow patterns depending on the type of matrix. Thus, from the given matrix, we can say that;

(1 * -1) + (0 * -1) + (1 * 3) = a

-1 + 0 + 3 = a

a = 2

Similarly;

(1 * -1) + (0 * 2) + (1 * 4) = b

-1 + 0 + 4 = b

b = 3

Thus, the values of a and b of the given matrix multiplication is gotten as; a = 2 and b = 3

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99.5% of the data observations should fall between 11.579 and 28.421 according to expectations for the given normal distribution.

What is a normal distribution?

A continuous probability distribution for just a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

According to the question, if the lower limit is a and the upper limit is b, then 99.5 percent of values fall between a and b.

part of values below a certain threshold, a= (1-0.995)/2 = 0.0025

Mean,m  =20

Standard deviation,s = 3

 Z = (X – m) / s

   P(x<Z): 0.0025

P(x<Z) = 0.0025 can be determined for Z score.

according to the usual table, Z = -2.807

X = Zs+m

(-2.807 * 3) +20= 11.579

Lower limit = 11.579

Part of values that are less than b is equal to 0.995 + 0.0025 = 0.9975.

P(x<Z): 0.9975

Z score for which P(x<Z) = 0.9975 can be found

from the normal table as, Z = 2.807

X = Zs+m

(2.807 * 3) +20= 28.421

Upper limit = 28.421

99.5% of the data observations should fall between 11.579 and 28.421 according to expectations for the given normal distribution.

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Answer:

I don't know about that and I don't understand

Answer:

26

Step-by-step explanation:

I will assume you meant this:    5 ( 7-4)²  ÷ 3 + 11

Using PEDMAS

  Parentheses first

      5 ( -3)² ÷ 3 + 11

  then exponents

     5 ( 9)  ÷ 3 + 11  

   then division

        5 * 3   + 11

    and multiplication

          15 + 11    then addition and or subtraction = 26

Answer:

Step-by-step explanation:

Answer: kndkfnsjkfrjgkbgjb

Step-by-step explanation:

listen to koRn

Answer:The missing number is 7

Step-by-step explanation:

if 4+5+16 is 25 then you will need 7 more to make it 32 so you can divide by 4 and get 8

The spherical tank with a capacity of 750 gallons has a radius of 2.88ft.

Volume refers to the total amount of space an object occupies. It also determines the capacity of the object.

Given the fact that 1 gallon is about 0.1337 ft^3, and the spherical tank has a capacity of 750 gallons, then it's volume or capacity can be converted from gallons to ft^3 by multiplying 750 with 0.1337.

1 gallon = 0.1337 ft^3

750 gallons = 750(0.1337 ft^3)

750 gallons = 100.275 ft^3

To solve for the radius of the spherical tank, use the formula for the volume of sphere given by the formula:

V = 4/3πr^3

where V = 100.275 ft^3

100.275 ft^3 = 4/3πr^3

r^3 = 23.93889288 ft^3

r = 2.882048957ft

Rounding off to the nearest hundredth of a foot:

r = 2.88ft

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The number of yards of fence it will take to enclose the square garden is 48 feet.

It is given in the question that a square garden has an area of 144 square feet.

We have to find the number of yards of fence it will take to enclose the garden.

Let the length of side of the square garden be x feet.

We know that,

Area of a square = [tex]side^2[/tex]

Hence,

According to the data given in the question, we can write,

144 = [tex]side^{2}[/tex]

We know that,

144 = [tex]12^2[/tex]

Hence,

[tex]12^2=side^2[/tex]

Hence,

Side = 12 feet

We know that,

Number of yards of fence it will take to enclose the  square garden = perimeter of the square garden.

Hence,

Number of yards of fence it will take to enclose the square garden = 4* side of the square garden = 4*12 = 48 feet.

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The solution set of the inequality is the set of all real numbers larger than 5, written in interval form as (5, ∞)

Here we have a simple inequality:

x - 2 > 3

To solve this we need to isolate x in one side of the inequality.

Now, remember that we can do the same operation in both sides of the inequality. So, if we add in both sides the same number, then the truth value of the inequality does not change.

Then if we add 2 in both sides of the inequality we get:

x - 2 + 2 > 3 + 2

x  > 5

Then the solution set of the inequality is the set of all real numbers larger than 5, written in interval form as (5, ∞).

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Answer:

m <B = 41°

Step-by-step explanation:

Fact: complementary angles measures add to 90 degrees

Given: m < A = 2x-19,  and m <B = x+7

Find: m <B = ?

Find x

2x-19 + x+7 = 90

2x+x = 90 +19-7

3x = 102

x = 34

Find m <B

m <B = x+7

m <B = 34+7

m <B = 41

Answer:2 beacuse if u divide 4 by 2 and 6 by 2 u get 2/3

Step-by-step explanation:

The function g whose graph is a translation 3 units up from the graph of F is given as g(x) = -x+6

Given:

f(x) = -x + 3...............1

Transformation is 3 units up from the graph of F

hence,

g(x) = f(x) + 3...........2

Recall that f(x) = -x+3 Hence

Substituting f(x) in to Equation 2

We have:

g(x) = -x + 3 +3, hence
g(x) = -x + 6

Hence we  can conclude that the function g whose graph is a translation 3 units up from the graph of F is given as g(x) = -x+6.

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Answer: it is linear

Step-by-step explanation:

y = 10^2

y = 100

horizontal line going through y = 100

Answer :

The time it will take to travel a distance of 225km is t = 9 h

What is MRU?

 MRU are the acronyms that define the uniform rectilinear movement which is the movement that maintains a variation of the distance with respect to time always constant since the acceleration is null.

We will calculate the speed you have in cyclist with the initial data of traveling a distance of 125km in a time of 5 hours:

Speed = distance / time

Speed = 125km/5h

Speed = 25 km/h

We now determine a time for a 225km course

25 km/h = 225km/t

t = 225km / 25km/h

t = 9 h

Answer: Original value: 0.076952

Value (with 3 decimal places): 0.077

Step-by-step explanation: hope this helps

Answer:

infinitely many solutions

Step-by-step explanation:

4=2x+y

-6x-3y=-12

First, line up the variables in the right place

4=2x+y

-12=-6x-3y

Choose the variable you want to eliminate, I will do x

Multiply everything in the first equation by 3

3(4)=(2x+y)3

-12=-6x-3y

Simplify

12=6x+3y

-12=-6x-3y

If we combined everything, it would all cancel

This means there are infinitely many solutions