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The summation notation for the given series is  [tex]\sum_{n=1}^{12}(2.5-1.5n)[/tex]

The given series is,

           [tex]1,-0.5,-2,........[/tex]

Since,    [tex]-0.5-1=-2+0.5=-1.5[/tex]

Here we observe that,  common difference between each term is - 1.5.

So, given series is an Arithmetic progression series.

First term, [tex]a=1[/tex], common difference, [tex]d=-1.5[/tex]

General term for AP series,

                   [tex]a_{n}=a+(n-1)d\\\\a_{n}=1+(n-1)*(-1.5)\\\\a_{n}=1-1.5n+1.5\\\\a_{n}=2.5-1.5n[/tex]

Hence, summation series up to 12 terms is,

                               [tex]\sum_{n=1}^{12}(2.5-1.5n)[/tex]

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Answer:

1. c.

2. a.

3. a.

4. b.

Step-by-step explanation:

Answer:

$31.67

Step-by-step explanation:

14/100x27.78= about 3.89

3.89+27.78=31.67

$31.67

The amount that Sonia will pay is $31.67.

Amount of bill = $27.78

Percentage of tip = 14%

Amount of tip = 14% × $27.78

= 0.14 × $27.78

= $3.89

Total amount to be paid will then be;

= $27.78 + $3.89

= $31.67

In conclusion, Sonia will pay $31.67.

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Answer:

Last year

Step-by-step explanation:

The question is:

Which year had a decrease in profit between months 3 and 4?

Answer:

Last year

Step-by-step explanation:

Answer:$24

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

If he read 17 pages in one hour and spent 6 hours reading then you have to do 17 times 6 which is 102.

Answer:

Step-by-step explanation:

x^8/x^2= [tex]x^{8-2}[/tex]= x^6

when you divide same base and different powers, you subtract the powers

Answer:

Step-by-step explanation:

There are 2 ways that you can do this problem. The first is just to factor everything and cancel.

x * x * x * x *x * x *x *x

====================

x * x

Two of the xs on the top cancel leaving you with the number 1 on the bottom

x * x * x * x * x * x = x^6

This is one of your answers.

The other is you can notice you get the same thing by subtracting powers.

x^(8 - 2) = x^6

I'm not sure which answer is expected. I would guess the second one.

Answer:

3235

Step-by-step explanation:

100 for the week plus 3135 which is 5.5% of 57,000

Answer:

Number of cars = 3

Number of trucks = 5

Step-by-step explanation:

Let

Number of cars = x

Number of trucks = y

Total number of cars and trucks = 8

We can write the equation: [tex]x+y=8[/tex]

For his next birthday, he want to double the cars.

The number of cars will be: 2x

Now, the total number of cars and trucks will be 11

Now equation will be: [tex]2x+y=11[/tex]

Now, Solving these equations, we can find value of x and y

[tex]x+y=8--eq(1)2x+y=11--eq(2)[/tex]

Subtracting both equations:

[tex]x+y=82x+y=11\\-\:\:\:-\:\:\:-\\--------\\-x=-3\\x=3[/tex]

So, we get x =3

Now, for finding value of y, put value of x in equation 1:

[tex]x+y=8\\3+y=8\\y=8-3\\y=5[/tex]

So, we get y=5

So,

Number of cars = x = 3

Number of trucks = y = 5

Answer:

1/8

That the answer

Answer:

7 x ^2 y - 3 z

= 7 * (3)^2 * 5 - 3 * - 4

= 7 * 9 * 5 + 12

= 315 + 12

= 327

it's answer is D 327

hope it helps you

Answer: 18

Step-by-step explanation: Add them all together to get the answer to the equation <3

Answer:

A chip of 16.59 ounces represents the 67th percentile for the bag weight distribution

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 16.5, \sigma = 0.2[/tex]

What chip amount represents the 67th percentile for the bag weight distribution

This is X when Z has a pvalue of 0.67, so X when Z = 0.44.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.44 = \frac{X - 16.5}{0.2}[/tex]

[tex]X - 16.5 = 0.44*0.2[/tex]

[tex]X = 16.59[/tex]

A chip of 16.59 ounces represents the 67th percentile for the bag weight distribution

Using the normal distribution concept, the chip amount which corresponds to the 67th percentile is 16.59

Using the concept of normal distribution :

The 67th percentile is defined as :

P(Z < 0.67) ; Using a normal distribution table, the corresponding Zscore value is 0.44

Substitute into the Zscore relation and solve for the score, X :

0.44 = (X - 16.5) / 0.2

Cross multiply

0.44 × 0.2 = (X - 16.5)

0.088 = X - 16.5

0.088 + 16.5 = X

X = 16.588

Therefore, the chip amount is 16.59.

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Answer:

I ran too the car to see my mom.

Step-by-step explanation:

Answer:

I ran too the car to see my mom

Answer:

multiply them all together to get 84 cubic meters.

Step-by-step explanation:

7 times 3 times 4 = 84

answer:

(x+4)^2

so, option C.

Answer: A linear function always has a rate of change.

Step-by-step explanation: In the first table, the function is linear since both the x and y values increases by a constant number. Each time the x value increases by 1, the y value increases by 5.

In the second table, the y value does not change by a constant number.

For example, the first time, the y value increases by 6, then it increased by 2, then by 4. This means the second table is non-linear since the rate of change isn't constant.

The answer is C, because there are two different numbers correlated to the same number on the Y side. The table does not represent a function.

The table is not a function because: A. one x-value corresponds to two different y-values.

If each x-value on a table of values is assigned to only one y-value, that table represents a function. If an x-value corresponds to more than one y-value, the table is not a function.

Thus, the x-value, 5, corresponds to two y-values, 2 and 5. Therefore the table does not represent a function.

The answer is: A.

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Answer:

[tex]y = - 4[/tex]

Step-by-step explanation:

subtract three from both sides and simplify 35 - 3 to 32

-8y = 32

divide by -8

[tex]y = - \frac{32}{8} [/tex]

simplify

y = -4

Answer:

-4

Step-by-step explanation:

-8y + 3 = 35

-8y + 3 - 3 = 35 -3

-8y = 32

-8y/-8 = 32/-8

y = -4

Answer:

1. 6 + 45 -10 = 41 2. -20 - 20 - 10 = -50 3. 40 4. -18 - 15 + 10 = -23

Step-by-step explanation:

adding/multiplying a negative and a negative = a positive

9514 1404 393

Answer:

  (-18, 14), (-9, 9), (9, -1), (18, -6)

Step-by-step explanation:

Since there is a 9 in the denominator of the coefficient of x, we will get integer solutions only if x is a multiple of 9. Suitable values meeting the problem requirements are x ∈ {-18, -9, 9, 18}. Then the corresponding values of y are ...

  y = -5/9(-18) +4 = 10 +4 = 14

  y = -5/9(-9) +4 = 5 +4 = 9

  y = -5/9(9) +4 = -5 +4 = -1

  y = -5/9(18) +4 = -10 +4 = -6

The four solutions we have found are ...

  (-18, 14), (-9, 9), (9, -1), (18, -6)

Answer:

Step-by-step explanation:

Admission price = 35$

Cost of every ride = 3$

Cost of 8 rides = 8 x 3 = 24$

Total amount = 35 + 24 = 59$

Answer:

c ≤ 330

Step-by-step explanation:

Given that:

Greatest weight = 23000 kg

Weight per crate = 60kg

Weight of other shipment already loaded = 3200kg

Total Number of 60kg crates, c that can be loaded

((Weight per crate * number of crates) + weight of other loaded shipment) ≤ greatest weight

((60 * c) + 3200 ≤ 23000

60c ≤ 23000 - 3200

60c ≤ 19800

c ≤ 19800 / 60

c ≤ 330

15 sides

It’s the right answer

The number of sides that the original building has will be 15 sides.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

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

The measure of the exterior angle is given as,

Exterior angle = 180° - Interior angle

Exterior angle = 180° - 156°

Exterior angle = 24°

The total number of sides of the polygon will be given as,

Exterior angle = 360° / (Number of sides)

24° = 360° / n

n = 360° / 24°

n = 15

The number of sides that the original building has will be 15 sides.

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The complete question is given below.

Answer:

94.2477796077

Step-by-step explanation:

Use the formula for the volume of cylinder which is V = pi(r)2(h), mainly divide your diameter to get half of it and that is your radius and start plugin in your numbers which will be V = (pi)(1)(2)15 and solve it which will give 94.2477796077 or 94.

Answer:

490%  i believe

Step-by-step explanation:

Answer: It d

Step-by-step explanation:

Answer: 669

Step-by-step explanation:

Answer:

Gia

Step-by-step explanation:

Mark is making his of square centimeter tiles which are smaller than square inch tiles. Therefore, Gia has a larger area due to the use of inches rather than centimeters.

Answer:

4.5 pounds

Step-by-step explanation: