Find the 64th term of the arithmetic sequence 2, -3, -8, ...

Answer:

For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.

Then he stops for 20 minutes, we will represent this with a constant line.

Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.

A sketch of this situation can be seen below.

The number of fluid ounces of lemonade made by James and Eric is a

multiple of the number pitchers mixed.

The number of pitchers James and Eric mix = 6 pitchers each

Number of fluid ounces of lemonade James makes per pitcher = 26 fluid Ounces

Volume of lemonade Eric makes per pitcher = 32 fluid ounces

Volume of lemonade James makes = 26 fluid Ounce × 6 = 156 fluid Ounces

Volume of lemonade Eric makes = 32 fluid ounces × 6 = 192 fluid Ounces

Total volume of lemonade made by James and Eric = (156 + 192) fluid Ounces = 344 fluid ounces

Volume of lemonade per glass = 8 Ounces

Number of glasses filled = 344 fluid Ounces ÷ 8 Ounces/glass = 43 glasses

Therefore, given that the number of glasses of 8 ounces of lemonade that can be filled using the 344 fluid ounces is exactly 43 glasses, we have;

Learn more about division in arithmetic here:

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Answer:

Yep

Step-by-step explanation:

Answer:

D. x = 3

Step-by-step explanation:

We would like to find out for what value of x does f(x) = g(x). This is essentially the same as asking us to find the x-value for which f(x) = k, where k is some number, and g(x) = k, as well.

Looking at the two tables provided, we notice that when x = 3, both f(x) and g(x) equal -2. So, the answer is D.

Answer:

Option C

Step-by-step explanation:

x + 6) 3x⁴ + 20x³ + 14x² + 17x + 30 (3x³ + 2x²+ 2x + 5

         3x⁴ + 18x³  

                   2x³ + 14x²

                   2x³ + 12x²

                              2x² + 17x

                               2x² + 12x

                                       5x + 30

                                       5x + 30

                                            0

Therefore, quotient is (3x³ + 2x²+ 2x + 5).

Option C is the correct option.

Answer:

43.2

Step-by-step explanation:

4.32 x 10 = 43.2

Answer:

easy

4.320

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

Well, we know for the first polygon that the short side of the rectangle is 3 and for the second polygon the short side is 6, this means that for the second polygon, all sides will be double of the other side. 2 times the long side of the first rectangle is 18, this is why x = 18.

Hope this Helps!!! :)

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Answer:

C

Step-by-step explanation:

Because since 3 divided by 9 is 3 u have to double up the amount by 3 and that will  be 18

Answer:

376000 pounds

Step-by-step explanation:

What's required of this question is to convert the given weight of plane from tons to pounds

Given

[tex]Weight = 188\ tons[/tex]

Required

Get pounds equivalent

From standard unit of measurements

[tex]1\ ton = 2000\ pounds[/tex]

Multiply both sides by 188

[tex]188 * 1\ ton = 188 * 2000\ pounds[/tex]

[tex]188\ tons = 376000\ pounds[/tex]

Hence, the weight of the plane in pounds is 376000

Answer:

you need more than one point to find the slope of a line?

Step-by-step explanation:

Answer:

The answer is B, or the second one.

90 Adult tickets and 18 Children's tickets

Step-by-step explanation:

(90 x 15) + (18 x 9)

Answer:

The y-intercept y = 4x - 5 is (0,-5).

Step-by-step explanation:

hope this helps

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Answer:

A. F

B. D

C. C

D. E

E. G

F. G

G. D

Step-by-step explanation:

Answer: A. 9/4

              C. -1.75

              D. 1.75

              E -2      

              F-1

              -2 1/2  

Step-by-step explanation:

Answer:

X = 9

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Move all terms that don't contain x to the right side and solve.

Answer:

Step-by-step explanation:

710 + 640 = 1350m

Answer:

The answer is "0.0764"

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\to \mu = \$ \ 4064\\\\\to \sigma = \$ \ 460 \\\\\to \sigma \bar{x} = \frac{\sigma}{\sqrt{n}}\\\\[/tex]

        [tex]= \frac{460}{\sqrt{21}}\\\\ = \frac{460}{4.58257569}\\\\=100.3802[/tex]

[tex]\to P(\bar{x}< \$ \ 3920) = \frac{P((\bar{x} - \mu \bar{x})}{\frac{\sigma \bar{x}<(3920 - 4064)}{100.3802)}}[/tex]

[tex]\to P(z < -1.43) = 0.0764 \\\\\to P(\bar{x}< \$ \ 3920) = 0.0764\\\\[/tex]

Answer:

I'm assuming 45−−√ is [tex]\sqrt{45}[/tex], and that it belongs to the subset of irrational numbers.

16/5 is a rational number, and -1 is an integer.

All numbers belong to the subset of real numbers.

Step-by-step explanation:

Hope this helped!

Answer:

Step-by-step explanation:

After x weeks Bill will save money:

And Ted will save:

Since they save same amount, we have equation:

Answer:

The slope is -3

Step-by-step explanation:

the equation for finding the slope between two different points is:

M= (y2-y1)/(x2-x1)

Or in other words the change in y over the change in x.

M= (9+6)/(3-8) = 15/-5 = -3.

(sidenote: I added 9 and 6 for the change in y because you cannot subtract a negative number. Instead you have to add it.)

Answer:

Step-by-step explanation:

G is the incenter of ΔABC,

Incenter of a triangle is defined by the point where angle bisectors of the interior angles intersect.

10). m∠ABG = m∠CBG = 25°

11). m∠BCG = m∠ACG = 18°

  Therefore, m∠BCA = m∠BCG + m∠ACG = 2×18° = 36°

12). m∠ABC + m∠BAC + m∠ACB = 180°

  2(25)° + m∠BAC + 36° = 180°

    m∠BAC = 180° - 86° = 94°

13). m∠BAG = [tex]\frac{1}{2}[/tex](m∠BAC) = 47°

14). Since, incenter is equidistant from all sides of the triangle,

     Therefore, DG = GF = FE = 4 units

15). In right triangle BEG,

     tan(25)° = [tex]\frac{\text{GE}}{\text{BE}}[/tex]

     BE = [tex]\frac{\text{GE}}{\text{tan}25}[/tex]

           = [tex]\frac{4}{\text{tan}25}[/tex]

     BE = 8.6

16). In right triangle BEG,

     cos(25)° = [tex]\frac{\text{4}}{\text{BG}}[/tex]

     BG = [tex]\frac{4}{\text{cos}25}[/tex] = 4.4

17). In right triangle GEC,

    sin(18)° = [tex]\frac{\text{GE}}{\text{GC}}[/tex]

    GC =  [tex]\frac{\text{4}}{\text{sin}(18)}[/tex] = 12.9

Answer: 1.6 in per hour

Answer:

hourly rate.

Step-by-step explanation:

As others have noted, it is a simple mathematical division problem (4/2.5) and the average is 1.6 inches per hour.

However, if this is for sizing civil works such as culverts or plumbing storm water drainage systems to mitigate flooding, the highest rate per hour must be known and usually the highest ten minutes rainfall rate expressed as an hourly rate.

For example, if 4.0 inches fell over that 2.5 hours, nothing says that a rain band did not dump 3 inches in the first hour, (3 inches per hour cumulative) or 0.75 inches in a ten minute period (4.5 inches per hour rate), with the remainder of the storm tapering off to lesser rates. So the average is correct, but the peak hour is much more important for practical purposes.

Answer:

constants

Step-by-step explanation:

That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value.

The term or number with no variable attached is called a constant as in the polynomial or expression.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

A number consists of the expression with no variable.

As we know, the expression is a combination of numbers, variables, and operators.

If we take an example of the polynomial.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm p(x) = a_0+a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

Here a₀ is a constant because the term a₀ has no variables.

Thus, the term or number with no variable attached is called a constant as in the polynomial or expression and the constant value does not change.

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Answer:

25

Step-by-step explanation:

45 times 5 = 225

225 divided by 9 = 25

Answer:

25

Step-by-step explanation:

5:9 and x:45

45*5/9 which is 25

Hope this helps!

Answer:

36

Step-by-step explanation:

The answer is the absolute value of 31 + (-5)

So it is 36

Answer:

Undefined

Step-by-step explanation:

Answer:

B

Step-by-step explanation: