Show that, when SI units for µ0 and ε0 are entered, the units given by the right-hand side of the equation in the problem above are m/s.

The number -3.1 is smaller than the number -2.4 which is -3.1 < -2.4.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The numbers are given below.

-3.1 and -2.4

The number -3.1 is smaller than the number -2.4 which is -3.1 < -2.4.

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Answer:

7420

Step-by-step explanation:

7000 times 1.06 is 6% interest for 3 years

this is your answer hope it's helpful for you

Answer:

x = 7

Step-by-step explanation:

since 2 sides are congruent, then the triangle is isosceles with base angles being congruent , both (9x - 25)

the sum of the 3 angles in the triangle = 180° , that is

9x - 25 + 9x - 25 + 104 = 180

18x + 54 = 180 ( subtract 54 from both sides )

18x = 126 ( divide both sides by 18 )

x = 7

Answer:

y = 7/10

Step-by-step explanation:

1. Subtract 10 from both sides of the equation

2. Simplify

3. Subtract 5y from both sides of the equation

4. Simplify

5. divide both sides of the equation

6. simplify

7. solution

Answer: least common multiple and they meet up on the 28th day.

Step-by-step explanation: Sally's family goes on their 7th trip on the 28th day since 7*4 =28. Mary's family goes on their 2nd trip also on the 28th day since 14 * 2 = 28. 28 is the LCM.

Answer:

They would meet on the 28th day; Least common multiple.

Step-by-step explanation:

The different possible outcomes if you spin a spinner labeled

Red, Blue, Yellow, Green, Purple three times is 360 outcomes

This question has to do with the arrangement since, for each spin, the colors can fall in different positions.

If the spinner is spun once, the total number of possible outcomes if you spin a spinner labeled  Red, Blue, Yellow, Green, Purple is 5! (there are 5 colors)

5! = 5 * 4 * 3 * 2

5! = 120 ways

If you spin the spinner 3 times, the total possible outcomes will be 3(120) = 360 ways

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The function that is undefined for x=0 is y=√x+2.

The functions y=³√x-2 and y=√x-2 are defined for all real numbers

since the only restriction would be taking the square root or cube root of a negative number, but in these functions, x-2 is always non-negative.

On the other hand, the function y=√x+2 is undefined for x=-2,

since the expression inside the square root would be negative.

Therefore, the function that is undefined for x=0 is y=√x+2.

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The compound inequality for which there is no solution is 3m + 12 > 33 and -4m ≥ 32.

What is an inequality?

Let's solve each compound inequality separately:

-2m - 12 < -24 ⇒ -2m < -12

⇒ m > 6

7m + 8 > 22 ⇒ 7m > 14

⇒ m > 2

The solution set for the first inequality is m > 6, and the solution set for the second inequality is m > 2. To satisfy both inequalities, m must be greater than both 6 and 2, so the solution set is m > 6. Therefore, there is a solution for the first compound inequality.

3m + 12 > 33 ⇒ 3m > 21

⇒ m > 7

-4m ≥ 32 ⇒ m ≤ -8

The solution set for the first inequality is m > 7, and the solution set for the second inequality is m ≤ -8. There is no number that satisfies both inequalities, so there is no solution for this compound inequality.

5m > 15 ⇒ m > 3

-6m < 18 ⇒ m > -3

The solution set for the first inequality is m > 3, and the solution set for the second inequality is m < -3. There is no number that satisfies both inequalities, so there is no solution for this compound inequality.

-3m ≥ 12 ⇒ m ≤ -4

m - 6 < 3 ⇒ m < 9

The solution set for the first inequality is m ≤ -4, and the solution set for the second inequality is m < 9. The only number that satisfies both inequalities is m ≤ -4, so there is a solution for this compound inequality.

Therefore, the compound inequality for which there is no solution is 3m + 12 > 33 and -4m ≥ 32.

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Answer:

A. She switched the divisor and the dividend in step 1 when creating an equation to model the problem.

Step-by-step explanation:

Answer: A

Step-by-step explanation: No Step-by-step explanation, just listen to me.

Answer:

y=1.2

Step-by-step explanation:

7.2-1.2=6

Answer:

See explanation

Step-by-step explanation:

The question is incomplete. However, I'll ask and answer possible questions that emanate from the given parameter.

A possible question is: Write the given information as a function of distance.

We have that;

\(Base\ Distance = 200\)

\(Time = t\)

\(Rate = r\)

The function would be calculated as:

Base Distance + Rate * Time

Substitute values for Base Distance, Rate and Time

This gives:

\(200 + r * t\)

\(200 + rt\)

Hence;

\(Distance = 200 + rt\)

Another possible question is to determine the current distance travelled by the family at a rate of 80 miles per hour for 3 hours.

Here, we have:

\(r = 80\)

\(t = 3\)

Substitute these values in \(Function = 200 + rt\)

\(Distance = 200 + 80 * 3\)

\(Distance = 200 + 240\)

\(Distance = 440\)

You can put 14 boxes of candy weighing 3/4 lb each in the bin.

To determine how many 3/4 lb boxes of candy can fit in a bin, we divide the total weight of the bin by the weight of each box.

First, let's convert the mixed number 10 1/2 lbs to an improper fraction.

10 1/2 lbs = (10 * 2 + 1) / 2 = 21/2 lbs

Next, we divide the total weight of the bin (21/2 lbs) by the weight of each box (3/4 lb):

(21/2 lbs) / (3/4 lb) = (21/2) * (4/3) = (21 * 4) / (2 * 3) = 84/6 = 14

As a result, you can fill the bin with 14 boxes of sweets that each weigh 3/4 lb.

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Answer:

Any number that is multiples of 33,6,9,12

Step-by-step explanation:

Have a great day!!

Answer:

-78x² - 4x^-7 + 7

Step-by-step explanation:

we compute using mathematical rules

-2x^2- 2x^-7 -2x^2-2x^-7 - (2x^2 +72x^2+7)

-4x^2-4x^-7-2x^2-72x^2-7

= -78x² - 4x^-7 + 7

The subtraction of the polynomial - 2x² - 2x - 7 from 2x² + 7 will be 4x² + 2x + 14.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expressions are given below.

- 2x² - 2x - 7 and 2x² + 7

Subtract - 2x² - 2x - 7 from 2x² + 7, then we have

⇒ (2x² + 7) - (- 2x² - 2x - 7)

⇒ 2x² + 7 + 2x² + 2x + 7

⇒ 4x² + 2x + 14

The subtraction of the polynomial - 2x² - 2x - 7 from 2x² + 7 will be 4x² + 2x + 14.

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Points (6,-11) and (-2,9)

then

a) Slope m= Y/X = (9 --11)/ (-2-6) = 20/-8= -5/2

b) equation of line y = mx + b

find b= y - mx = 9 -(-5/2)•(-2) = 9 - 5= 4

then equation is

y= (-5/2)x + 4

c) y-intercept of this line is

x= 0 , y= 4

d) graph of this line

The equation of the ellipse with foci at ​(39​,0) and ​(-39​,0) and a constant difference of 30 is given as follows:

x²/39² + y²/9² = 1.

The equation of an ellipse of center (h,k) is given by the rule presented as follows:

(x - h)²/a² + (y - k)²/b² = 1.

In which:

The coordinates of the foci are given as follows:

​(39​,0) and ​(-39​,0).

The center is the midpoint of these two coordinates, hence:

The coefficient a is given as follows:

a = |39 - 0| = |0 - 39| = 0.

Considering the constant difference of 30, the constant b is given as follows:

b = a - 30 = 39 - 30 = 9.

Thus the equation of the ellipse is given as follows:

x²/39² + y²/9² = 1.

The problem asks for the equation of the ellipse with the given features.

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Answer:

The baseball team got 46 runs over seven games

Step-by-step explanation:

3(-2x+4)= -6x-12

-6x+12 = -6x-12 = No solutions 6 runs

4(2x-3) = 8x-12

8x-12 = 8x-12 = 0 4 runs

8(x-3)+15 = 55

8x-24+15 = 55

8x-9 = 55

8x = 64

x = 8 4 runs

14+56x-22 = 8(7x-1)

56x-8 = 56-8

56x-8 = 48

56x = 56

x = 1 12 runs

3x+8+5x = 48

8x+8 = 48

8x = 40

x = 5 7 runs

-5(x-3)+9x = 35

-5x+15+9x = 35

4x+15 = 35

4x = 20

x = 5 7 runs

-3x+5-x+3 = -2(2x+3)

-4x+8 = -4x-6

-4x = - 4x-14

0 = -14 no solutions 6 runs

6+7+7+12+4+4+6 =

10+10+14+12 =

34+12 = 46 runs

Answer:

p²q³ + pq and pq(pq² + 1)

Step-by-step explanation:

Given

3p²q² - 3p²q³ +4p²q³ -3p²q² + pq

Required

Collect like terms

We start by rewriting the expression

3p²q² - 3p²q³ +4p²q³ -3p²q² + pq

Collect like terms

3p²q² -3p²q² - 3p²q³ +4p²q³ + pq

Group like terms

(3p²q² -3p²q²) - (3p²q³ - 4p²q³ ) + pq

Perform arithmetic operations on like terms

(0) - (-p²q³) + pq

- (-p²q³) + pq

Open bracket

p²q³ + pq

The answer can be further simplified

Factorize p²q³ + pq

pq(pq² + 1)

Hence, 3p²q² - 3p²q³ +4p²q³ -3p²q² + pq is equivalent to p²q³ + pq and pq(pq² + 1)

wait ik you from rsm

In July 2009, the estimated population of the United States would have been approximately 304,656,000 people, assuming a growth rate of 0.88% from July 2008.



To calculate the estimated population in July 2009, we need to apply the growth rate of 0.88% to the population in July 2008.

First, we calculate the growth in population by multiplying the population in July 2008 by the growth rate:

0.88% of 302,000,000 = 0.0088 * 302,000,000 = 2,657,600.

Next, we add the growth to the population in July 2008 to get the estimated population in July 2009:

302,000,000 + 2,657,600 = 304,657,600.

Rounded to the nearest whole number, the estimated population in July 2009 would be approximately 304,656,000 people.

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Answer:

50 students per bus and 9 students per van

Step-by-step explanation:

I just guessed until I got it right, so I don't really have a method. If I ever find a better way of doing it, I'll edit my answer.

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Answer:

16

Step-by-step explanation:

16

Answer:

Step-by-step explanation:

It 14

Answer:

this is like related to fractions right?

Step-by-step explanation:

If the given point is p(x, y) and change the sign of its x coordinates and y coordinates, then the new location will be on third quadrant

The coordinates of the point p = (x, y)

In the graph, there are four quadrants.

In first quadrant the x axis value and y  axis value will be positive. In second quadrant the value of x will be negative and y will be positive. In the third quadrant the value of and y will be negative. In fourth quadrant the value of x will be positive and y will be negative

Here at first both x and y are positive and it will be on first quadrant. The the sign of the x coordinates and y coordinates will change sign. So both of them will be negative.

Therefore, the location of will be on third quadrant

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Answer:

33

Step-by-step explanation:

2x+3x+20-5=180

5x+15=180

5x=180-15

5x=165

165/5=33

Step-by-step explanation:

2x - 3y > 9

the target as slope intercept form is

y = ax + b (or any fitting inequality sign)

so, let's transform the original inequality

2x > 3y + 9

2x - 9 > 3y

2x/3 - 3 > y

or

y < 2x/3 - 3

the slope is 2/3 (always the factor of x). the y-intercept = -3.