If x is a positive integer, for how many different values of x is StartRoot StartFraction 48 Over x EndFraction EndRoot a whole number? 2 3 6 10

Answers

Answer 1

Answer:

3

Step-by-step explanation:

According To the Question,

Given that, 'x' is a positive integer . And We have to find the number of different values of 'x', So that the value of [tex]\sqrt{\frac{48}{x} }[/tex] is a Whole number.

Then First, we have to find those values of 'x' for which the given fraction is a square.

We Know, All the factors of 48 are {1,2,3,4,6,8,12,16,24,48} .

Now, From the above factors, only (3,12 & 48) can give us a square number.

Therefore,

If x=3, Then [tex]\sqrt{\frac{48}{3} } = \sqrt{16}[/tex] ⇒ 4If, x=12, Then [tex]\sqrt{\frac{48}{12} } = \sqrt{4}[/tex] ⇒ 2If, x=48, Then [tex]\sqrt{\frac{48}{48} } = \sqrt{1}[/tex] ⇒ 1

Thus, There are 3 whole numbers (3,12,48).

Answer 2

Answer:

bbbbbbbbbbbbbbbbb

Step-by-step explanation:


Related Questions

Which expression is equivalent to Cube root of 125 x Superscript 6 Baseline y Superscript 15 Baseline z cubed?

5x3y3z
5x2y5z
25x2y3z
25x2y5z

Answers

Answer:

answer is B

Step-by-step explanation:

Answer:

it really is B.5x2y5z

Step-by-step explanation:

got it right on edge

y=-3x+3

X. y
-4
-2
0
2

Answers

Answer:

y/3

Step-by-step explanation:

y=-3x+3

3=3x-y

3/3=3x/3-y/3

The hall is a rectangle that measures 4m long by 90 cm wide what is the area

Answers

Step-by-step explanation:

the answer is 36000 cm2

please mark the brainliest

QUESTION:

The hall is a rectangle that measures 4m long by 90 cm wide what is the area?

=============================ANSWER:

[tex]\large\tt{36000 \: cm²}[/tex]=============================#BrainliestBunch

┻━┻︵└(՞▽՞ └)

what is the angle of elevation of the sun when a 47 ​-ft mast casts 33ft​ shadow?

Answers

Answer:

care

Step-by-step explanation:

i dont know

Which line of best fit is the best choice for the data given below?

Answers

It would be D as it has a the tightest spread between the points and the least outliers

PLZ HELP I will give brainliest :)))

Answers

Answer:

The answer should be A.

Step-by-step explanation:

The answer should be A! :)

Find the distance between the given points. Round to the nearest tenth.

Answers

Answer:

(7 , -3)

Step-by-step explanation:

The distance between A and B is 7 squares to the right and 3 squares down

Help me please ASAP tysm

Answers

Answer:

2/3 ft

Step-by-step explanation:

area of triangle =base*height/2

2/5=base*6/5/2

2/5 *2 =base * 6/5

4/5 =base*6/5

4/5÷6/5=base

4/5 * 5/6=base

20/30=base

2/3=base

therefore base=2/3 ft

What is it yalll !??????

Answers

Answer:

I think b

Step-by-step explanation:

Answer:

As x reaches negative infinity y reaches negative infinity

Step-by-step explanation:

So, first off, when looking at graphs, there will always be a infinite end behavior.

This is because either the x or y axis can be set to a infinitly large number.

We can instantly set up a 2 things for this graph.

We see that y NEVER reaches postive infinity. This is because both left and right sides of the graph have downwards slopes.

This removes our second answer, because it is postive infinity for y.

It also removes our first answer, since it is just 5 for y, notn negative infinity.

Finally, it removes our third answer, since it is just 7 for y, not negative infinity.

This leaves D.

D is correct since y reaches negative infinity when x reaches both postive and negative infinity.

D says x is negativly infinite, which fits this.

So D is our answer.

Hope this helps!

SHOW WORK PLEASE

Marion and her friends are driving to see a concert at the stadium, a trip of 145 miles. They drive for 2 hours at a steady rate of 40 miles per hour and then stop for gasoline. How much further do they have to travel to arrive at the stadium?

Answers

Answer:

65

Step-by-step explanation:

Since they drove for 2 hours at an average rate of 40 miles per hour, they've travelled [tex]40\cdot 2=80[/tex] miles so far. Therefore, they still have [tex]145-80=\boxed{65}[/tex] miles to go.

Answer:

65

Step-by-step explanation:

Since u traveled for 2 hours at 40 miles per hour, you have traveled for 80 miles. Then u subtract the total miles, 145 by 80

145-80

= 65 more miles

Simplify (-4a^5b) (2a^2b)

Answers

Answer:

[tex]-8a^{7b}[/tex]

Step-by-step explanation:

[tex](-4 a^{5b}) (2a^{2b}) = -(2^2 a^{5b}) (2a^{2b})\\[/tex]

                    [tex]= -(2 ^2 \times 2) \times a^{5b + 2b}\\\\= -(2 ^{2+1}) \times a^{7b}\\\\=-(2^{3}) \times a^{7b}\\\\= - 8 a^{7b}[/tex]

6
a
4
+
5
b
3
when
a
=
3
and
b
=

3

Answers

Answer:

27

Step-by-step explanation:

4a + 5b

12 + 15

=27

The equation of a circle is x2 + y2 + 2x - 10y - 38 = 0. What are the coordinates of the
center and the length of the radius of the circle?

Answers

Answer:

Centre = (-1, 5)

radius = 8units

Explanation

The standard form of the equation of a circle is expressed as

x^2+y^2+2gx+2fy+C = 0

Center = (-g, -f)

radius = √g²+f²-C

Given the equation of a circle is x² + y²+ 2x - 10y - 38 = 0.

On comparing

2gx = 2x

2g = 2

g = 2/2

g = 1

2fy = -10y

2f =-10

f =-5

Centre = (-1, -(-5)) = (-1, 5)

radius  = √1²+5²-(-38)

radius = √1+25+38

radius = √64

radius = 8units

Need help with figuring out this zingoes problem asap, willing to give brainliest!

Answers

Answer:

The yellow trapezoid, blue rectangle, and whatever that purple thing is are zingoes

Step-by-step explanation:

As far as I can tell, all the correct examples are

1) Symmetrical

2) Have a line splitting them symmetrically and does not go above or below the shape (Does that make sense?)

The wrong examples don't have any of the characteristics told above. For example, the square would be wrong because it doesn't even have a line

(P.S- This isn't my picture, just found it on the web. Shout out to whoever owns this)

I told you I was not smart :[

Answers

Answer:

Attached below

Step-by-step explanation:

Trapezoid: Opposite side are parallel in trapezium.

So, opposite sides are parallel in  all given quadrilateral except second.

Therefore, attached figure is not trapezium.

Answer:

.........

Step-by-step explanation:

Simplify 45÷2×8-12+42
Please show working

Answers

Answer:

210

Step-by-step explanation:

Lets use BEDMAS (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)

45 ÷ 2 = 22.5

22.5 × 8 = 180

180 - 12 = 168

168 + 42 = 210

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

Have a great summer :)

What is the length of the hypotenuse of the right triangle in the diagram?

Answers

Answer:

it's hypotenuse will be -8

Given the triangle below, what is the measure of x to the nearest foot?

Answers

Answer:

18 ft

Step-by-step explanation:

Since the triangle is right angled ; we could use trigonometry ;

Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x

Cos θ = Adjacent / hypotenus

Cos 40 = 14 / x

0.7660444 = 14 / x

0.7660444x = 14

x = 14 / 0.7660444

x = 18.27

= 18 ( nearest foot)

Directions: Solve for x. Round your answer to the nearest tenth. Make sure you calculator
is in degree mode!
541
9

Answers

Answer:

12.4

Step-by-step explanation:

using x= 9tan54 the results is 12.38743728 but 12.4 to the nearest tenth

The students at Riverview High School were asked to vote on their preference for new school colors. The school principal was interested to see how the student-athletes might vote differently from the students who are not athletes. The table shows the results of the vote. What percent of the student-athletes voted for red and gold as the new school colors? Round your answer to the nearest whole percent. 27% 42% 51% 67%

Answers

Answer: %27

Step-by-step explanation: 90/338   x/100

90x100=9000

9000/338=%27

                       

What is the exact value of the trigonometric ratio of tan-240 degrees?

Answers

Tan240=1.732050808
Tan^-1(240)=89.76126897

In an ecological study, the sampling mean proportion is 0.28 and the sample size is 50. What is the margin of error with a confidence level of 95%?

Answers

In an ecological study, the sampling mean proportion is 0.28 and the sample size is 50. a) What is the margin of error with a confidence level of 95%?
The solution to a system of two linear equations is (4, -3). One equation has a slope of 4. The slope of the other line is the negative reciprocal of the slope of the first. The system described above is represented by the following equations: y --X-2 y - 4x - 19 Please select the best answer from the choices provided

The margin of error is 0.1245 (approx) with a confidence level of 95%.

What is margin of error ?

Margin of error is a statistic which is expressing the measurement of random sampling error in the results of a survey.

Margin of error = [tex]z^{*}[/tex][tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

where [tex]z^{*}[/tex] is the value for confidence level or quantile,

p is the sampling mean proportion and n is the sample size.

How to find margin of error in given problem ?

Here, The sampling mean proportion(p)= 0.28

The sample size(n)= 50

Confidence level = 95%

Hence Value for 95% confidence level ([tex]z^{*}[/tex])= 1.96

Margin of error = [tex]1.96[/tex][tex]\sqrt{\frac{0.28(1-0.28)}{50} }[/tex]

                            = [tex]1.96[/tex][tex]\sqrt{\frac{0.28*0.72}{50} }[/tex]

                            = [tex]1.96\sqrt{\frac{0.2016}{50} }[/tex]

                            = [tex]1.96\sqrt{0.004032}[/tex]

                            = [tex]1.96[/tex]×[tex]0.0635[/tex]

                            = [tex]0.1245[/tex] (approx)

So, The margin of error is 0.1245 (approx).

Learn more about margin of error here :

https://brainly.com/question/10218601

#SPJ2

Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.

How much of the 10% alcohol solution should Bruce use?

How much of the 15% alcohol solution should Bruce use?

Answers

Answer:

10% = 30 15% = 20

Step-by-step explanation:

_

which expression is equivalent to 4(3x+2)-5x

A = 7x+2
B = 7x+8
C+12x+2
D=2x+8

Answers

Answer:

B) 7x + 8

Step-by-step explanation:

distribute 4 first to get:

12x + 8 - 5x

combine like terms to get:

7x + 8

It would be B hope this helps

I don’t know how to do these questions so help plz

Answers

Answer:

the anser is no.b that is 30°

Answer:

90°

Step-by-step explanation:

There's are supplementary angles at point C. These are two angles that add up to 180°. We know this because a straight line makes 180° on both sides. Since we know that the first angle is 150°, we can determine the angle a point C is 30°. This is shown by:

180-150=30

So now we know 1 angle and the other two angles are put into like terms (in this case, multiples of x). It is known that the sum of all angles in a triangle equates to 180°. Using this information we can set up a simple equation.

[tex]3x+2x+30=180[/tex]

Combining like terms, we get:

[tex]5x+30=180[/tex]

Isolating x, we get:

[tex]5x=150[/tex]

Dividing both sides by 5, we get:

[tex]x=30[/tex]

So now we can use this x-value to determine the angle that is being asked. It is shown that angle ABC is equal to 3x. Using the x value we just calculated, we get a final answer of:

[tex]3x=3(30)=90[/tex]

Therefore, the answer is 90°. Hope this helps!

pls help me with this maths equation

Answers

Answer:

Step-by-step explanation:

given :

y = 120 degree

z = 57 degree

angle x = ?

first lets find angle c in triangle BDC

angle c + z = y (sum of two interior opposite angle is equal to the exterior angle formed)

angle C + 57 = 120

angle C = 120 -57

angle C = 63 degree

Now lets find angle B in triangle BDC

angle B + angle C + z = 180 degree (sum of interior angles of a triangle)

angle B + 63 + 57 = 180

angle B + 120 = 180

angle B = 180 - 120

angle B = 60 degree

now for angle x

angle B + z = angle x (sum of two interior opposite angles is equal to the exterior angle formed)

60 + 57 = x

117 = x

Which describes the correlation shown in the scatterplot

Answers

The answer is c because it does not lean more to the left or right.
Hope this helps!!

Goods bought for $1500 had to be sold off at a loss of 30%. The selling price was ?
A $1950
B $1050
C $450
D $300

Answers

Answer:

B $1050

Step-by-step explanation:

Determine 30% of the price

1500 * 30%

1500 *.30

450

Subtract this from the price

1500-450

1050

Answer:

B $1050

Step-by-step explanation:

0.3 x 1500 = 1050

In △XYZ, m∠X = 27° and m∠Y = 48°. Which gives the sides of the triangle in order from shortest to longest?

Answers

Answer:

YZ , XZ , XY

Step-by-step explanation:

first lets find angle Z

angle x + angle y + angle z=180 degree (being sum of interior angles of a triangle)

27 + 48 + angle z=180

75 + angle z=180

angle z =180-75

angle z =105 degree

side YZ is the shortest one because the side opposite to the smallest angles is shortest in side.Then ,XZ is shortest in side because the side opposite to the smallest angle is shortest in side.Since angle z is largest angle so the side opposite to angle z will be the longest side i.e XY

first YZ then XZ and XY.

In base 2, what is the value of 1011₂ + 10111₂

Answers

1011₂ + 10111₂

= (1000₂ + 10₂ + 1₂) + (10000₂ + 100₂ + 10₂ + 1₂)

= 10000₂ + 1000₂ + 100₂ + 2 (10₂) + 2 (1₂)

= 10000₂ + 1000₂ + 100₂ + 2 (10₂) + 10₂

= 10000₂ + 1000₂ + 100₂ + 100₂ + 10₂

= 10000₂ + 1000₂ + 2 (100₂) + 10₂

= 10000₂ + 1000₂ + 1000₂ + 10₂

= 10000₂ + 2 (1000₂) + 10₂

= 10000₂ + 10000₂ + 10₂

= 2 (10000₂) + 10₂

= 100000₂ + 10₂

= 100010₂

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