Simplify the expression.
(the quantity x to the one-sixth power end quantity to the power of 3.)

Answer:

[tex] \boxed{ \bold{ \huge{ \bold{w = 5}}}}[/tex]

Option D is the correct option

Step-by-step explanation:

[tex] \sf{8 + \frac{35}{w} = 15}[/tex]

⇒[tex] \sf{ \frac{8 \times w + 35}{w} = 15}[/tex] { w ÷ 1 = w , So, I wrote 8 × w }

⇒[tex] \sf{ \frac{8w + 35}{w} = 15}[/tex]

Apply cross product property

⇒[tex] \sf{8w + 35 = 15w}[/tex]

Move 15w to left hand side and change it's sign

Similarly, Move 35 to right hand side and change it's sign

⇒[tex] \sf{8w - 15w = - 35}[/tex]

Collect like terms

⇒[tex] \sf{ - 7 w = - 35 }[/tex]

Divide both sides of the equation by -7

⇒[tex] \sf{ \frac{ - 7w}{ - 7} = \frac{ - 35}{ - 7} }[/tex]

Calculate

⇒[tex] \sf{w = 5}[/tex]

Hope I helped!

Best regards!!

Answer:

w = 5

Step-by-step explanation:

8 + [tex]\frac{35}{w}[/tex] = 15

subtract 8 from both sides

8 +  [tex]\frac{35}{w}[/tex] - 8 = 15 - 8

simplify

[tex]\frac{35}{w}[/tex] = 7

35/7 = w

w = 5

Answer:

You have:

2 red tins

3 white tins

This equals 5 tins of paint.

If you multiply 5 tins by 3 times it will give you 15 tins of paint.

Now: 2 red tins x 3 = 6 red tins

3 white tins x 3 = 9 white tins

6 red tins + 9 white tins = 15 tins of paint

Answer:

She will need 6 tins of Red paint

Step-by-step explanation:

Answer:

Intensity = 2500/x^2

6.25 lumem

5 Feets

Step-by-step explanation:

Given the following :

Area (A) = 0.1x^2

Intensity, Energy and Area are related by the formular :

Intensity = power / Area

A) If 250 lumens of light energy is produced :

Intensity (I) = 250 / 0.1x^2

Intensity = 2500/x^2

x = distance

B) USING THE EQUATION :

1) What is the intensity of light on an object that is 20 feet from the spotlight source?

x = 20

Intensity = 2500/x^2

Intensity = 2500/20^2

Intensity = 2500/400

Intensity = 6.25 lumen

11) How far from the spotlight is an object that recieves 100 lumens of light per square foot?

Intensity = 100

100 = 2500 / x^2

100x^2 = 2500

x^2 = 2500/ 100

x^2 = 25

x = 5 Feets

Answer:

x=3    

11=5x+2-2x

x=3    

Answer:

[tex]\boxed{\frac{1}{10}}[/tex]

Step-by-step explanation:

[tex]\frac{9}{10}+(-\frac{4}{5})\\\\ \frac{9}{10}-\frac{4}{5}\\\\\text{LCM} (10,5): 10\\\\\rightarrow \frac{4*2}{5*2}=\frac{8}{10}\\\\\frac{9}{10} -\frac{8}{10}\\\\\boxed{\frac{1}{10}}[/tex]

Hope this helps.

Answer: -1^0 because any number to the 0 is 1

-1^1 because it stays the same number which is negative

Answer:

Hey there!

For question number 1.

(-1)^2, because this equals (-1)(-1), or 1.

For question number 2.

(-1)^3, becuase this equals (-1)(-1)(-1), or -1.

Let me know if this helps :)

Answer:

Step-by-step explanation:

cross multiplication:

4*10=2*x

40=2x

x=40/2=20

6.8w=2(4.5)

6.8w=9

w=9/6.8=1.32352941

Answer:

umm.... what exactly are the numbers?

Answer:

Yea umm what are the numbers..?

Step-by-step explanation:

Answer:

 10y + 3x

Step-by-step explanation:

 (4y + 6x) -  3 • (x - 2y)

Answer:

I think it's 10y+3x

Step-by-step explanation:

I search it up :(

You use a compass to draw an arc (or a full circle). The radius must be kept the same so that you can copy the length of the segment properly. If the compass could move freely, then it is unlikely the arc will be a piece of a circle, and rather some squiggly curve. So this is why the compass width must be locked into place.

Answer:

Step-by-step explanation:

The midpoint M of a line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

G(-3,0) and H(11,- 4)

Their midpoint is

We have the final answer as

Hope this helps you

Answer:round up to the Nernst number

Step-by-step explanation:

Hope this helps

Answer:

round up the number

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Since the x values are the same, we only have to look at the difference between the y values

6 - -6

6+6

12

The distance is 12

Answer:

[tex]\Huge \boxed{12}[/tex]

Step-by-step explanation:

To find the distance between two points, apply the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2 }[/tex]

Plug in the values.

[tex]d=\sqrt{(1-1)^2+ (6-(-6))^2 }[/tex]

Evaluate.

[tex]d=\sqrt{(0)^2+ (12)^2 }[/tex]

[tex]d=\sqrt{144}[/tex]

[tex]d=12[/tex]

Answer:

r=0.30 feet

Step-by-step explanation:

2.6miles = 13728feet

4000=[tex]\pi[/tex]r²13728

4000/[tex]\pi[/tex]13728=r²

.0927=r²

r=0.30454

r=0.30 feet

Answer:

6

Step-by-step explanation:

bd/2c

-3(4)/2(-1)

-12/-2

6

Answer:

6

Step-by-step explanation:

Add the given numbers into your equation.

(-3)(4)/2(-1)

Then multiply both sides.

(-12)/(-2)

Then divide.

(-12)/(-2) = 6

Answer:

by going to the x then going straight up or down depending on where your x is on the line graph then go back to the x and go straight across to the number from it then put the y value over x value in Thats your answer simplify if you need to

Answer:

C

Step-by-step explanation:

Here in this question , we are interested in calculating the total distance covered by the train in the 10 minutes that it ran.

From the first part of the question, we already know the distances in the first 5 minutes.

Now, to calculate the total distance in the second 5 minutes, we use the distance formula since we have the average speed and the time;

Mathematically; Total distance = average speed * time

From the question, average speed is 33km/h, while time is 5 minutes. To achieve a consistent unit, we convert 5 minutes to hours.

That would be 5/60 = 1/12 hours

So the total distance in the second 5 minutes is;

33 * 1/12 = 2.75 km

Now, to calculate the total distance traveled, let’s add up the distances in the first 5 minutes and convert to kilometers;

That would be;

68 + 127 + 208 + 312 + 535 = 1,250 m

Let’s convert this to km.

We simply divide by 1000 = 1250/1000 = 1.25 km

The total distance is thus ;

1.25 + 2.75 = 4 km

Answer:

  A.  4.11 units

Step-by-step explanation:

It can be convenient to put one of these equations into general form, then use the formula for the distance from a point to a line.

In general form, the first equation is ...

  3x -y +9 = 0

So, the distance from a point to that line is ...

  ax +by +c = 0 . . . . . . equation of a line

  d = |ax +by +c|/√(a^2+b^2) . . . corresponding distance formula

  d = |3x -y +9|/√(3^2 +(-1)^2)

Using the y-intercept of the other line as the point of interest, we find its distance to the first line to be ...

  d = |3(0) -(-4)+9|/√10 = 13/√10 ≈ 4.11

The distance between the lines is about 4.11 units.

_____

Unless the lines are vertical or horizontal, you know the distance will be less than the difference between the x- or y- intercepts. Here, the y-intercepts are separated by 9-(-4) = 13 units. The x-intercepts are -3 and 4/3, so are separated by 4 1/3 units. Any answer choice larger than 4.33 cannot be correct.

Given : f(x) = 3x + 10 and g(x) = x - 2

To Find : f(g(5))

[tex]:\implies\sf\:g(x) = x-2[/tex]

[tex]:\implies\sf\:g(5) = 5-2[/tex]

[tex]:\implies\bf\:g(5) = 3[/tex]

Now,

[tex]:\implies\sf\:f(x)=3x+10[/tex]

[tex]:\implies\sf\:f(g(5))=3x+10[/tex]

[tex]:\implies\sf\:f(3)=3(3)+10[/tex]

[tex]:\implies\sf\:f(3)=9+10[/tex]

[tex]:\implies\boxed{\bf{\blue{f(3)=19}}}[/tex]

Answer:

C should slot on top of A.

Then D should slot in next to C of the left.

Lastly B should be beneath D and on the left of A.

Hope that makes sense.

Answer:

B. 90°

Step-by-step explanation:

Quadrilateral inscribed in the circle with center O is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

(b + d) + (32° + 58°) = 180°

b + d + 90° = 180°

b + d = 180° - 90°

b + d = 90°

Answer:

Negative nonlinear association

Answer:

D is wrong

Step-by-step explanation:

I followed advice of a person above me and got it wrong on test. I now realise that the only logical and correct answer is C

Answer:

27.41

Step-by-step explanation:

Answer:

126468 is the result of 27 multiplied by 4684

Step-by-step explanation:

a no. is divisible by 4 if the last two digits are a mutiple of 4

Answer:

(i), (iii), (v).

Step-by-step explanation:

If a number is divisible by 4 then its last 2 digits are divisible by 4.

For example 23408 is because 08  is divisible by 4.

Answer:

Step-by-step explanation:

An Additive Verse is a pair of numbers whose sum is zero.

Example: the additive Inverse of -5 is +5

Therefore: the Additive Inverse of -10 1/4 would be +10 1/4

Answer: f(g(2))=-7

Step-by-step explanation:

STEP 1. Find g(2)

g(x)=x²-6x-7

g(2)=(2)²-6(2)-7

g(2)=4-12-7

g(2)=-15

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

STEP 2. Find f(g(2))

f(x)=x+8

f(g(2))=g(2)+8

f(-15)=-15+8

f(-15)=-7

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

Answer:

The Answer is -7 .

Step-by-step explanation:

f(x)= x+8

g(x)= [tex]x^{2}[/tex]-6x-7

Now,

fog(2)=f ([tex]2^{2}[/tex]-6*2-7)

        =f (4-12-7)

        =f (-15)

        =-15+8

        = -7          

Answer:

7/9

Step-by-step explanation:

Given:

Number of yellow cards=2

Number of red cards=12

Number of blue cards=4

Total number of cards= Number of yellow cards+Number of red cards+Number of blue cards

= 2+4+12=18cards

Probability of a NON-blue card = number of non blue/ total number

where NON-blue= Number of red cards+

Number of yellow cards

= 2+12=14

P(not blue)=

=14/18

7/9

Therefore, probability that the card is not blue is 7/9

Answer:

False

Step-by-step explanation:

The set of numbers that include 0 plus the set of counting numbers. Which also includes 1-Infinity. Example....1,2,3,4, etc.

Answer:

False

Step-by-step explanation:

Whole numbers and irrational numbers are different set of numbers and they don't cross or overlap, therefore no whole number can be part of irrational numbers set