please show your work please

Answer:

-1875

Step-by-step explanation:

An arithmetic sequence has a common difference as a sequence. Here the common differnece is -11.

So our sequence so far looks like,

(57,46,35,24....). We know the last term of the sequence is -207 and we need to find the nth term of that series so we use arithmetic sequence

\(a _{1} + (n - 1)d \)

where a1 is the inital value,

d is the common differnece and n is the nth term.

We need to find the nth term so

\(57 + (n - 1)( - 11) = - 207\)

\((n - 1)( - 11) = - 264\)

\(n - 1 = 24\)

\(n = 25\)

So the 25th term of a arithmetic sequence is last term, now we can use the sum of arithmetic sequence

which is

\( \frac{a _{1} + a _{n} }{2} n\)

\( \frac{57 + ( - 207)}{2} (25) = \)

\( \frac{ - 150}{2} (25)\)

\( - 75(25) = - 1875\)

Answer:

-1875

Step-by-step explanation:

57 , 46 , ......... -207

\(First \ term = \ a_{1} = 57\\\)

common difference = d = second term - first term = 46 - 57 = -11

\(n^{th} \ term = -207\\\\a + (n-1)*d=t_{n}\)

57 + (n-1)* (-11) = -207

57 - 11n + 11 = -207

     -11n + 68  = -207

            -11n   = -207 - 68

             -11n  = -275

                 n = -275/-11

                n = 25

\(S_{n}=\dfrac{n}{2}(a_{1}+l)\\\\\\S_{25}=\dfrac{25}{2}*(57 + (-207) )\\\\\\ =\dfrac{25}{2}* (-150)\\\\\\= 25 *(-75)\\\\= -1875\)

1. 1/2

2. Across Y axis

3. 3 rights and 2 ups (3, 2)

Answer:

Step-by-step explanation:ns:

ANS: 4/3.

The answer of the given question based on probability is , option (A) 9/11.

Probability is  measure of  likelihood of  event occurring. It is number between 0 and 1, where 0 means that  event is impossible, and 1 means that  event is certain to occur. The probability of  event can be expressed as  fraction, a decimal, or a percentage. For example, if the probability of an event is 1/4, it means that there is a 25% chance of the event occurring.

The total number of hair clips in the box is:

Total number of hair clips = 15 (small) + 12 (medium) + 6 (large) = 33

The probability of selecting a small or medium hair clip is the sum of the probabilities of selecting a small hair clip and a medium hair clip:

P(small or medium) = P(small) + P(medium)

The probability of selecting a small hair clip is:

P(small) = number of small hair clips / total number of hair clips

= 15 / 33

The probability of selecting a medium hair clip is:

P(medium) = number of medium hair clips / total number of hair clips

= 12 / 33

Therefore, the probability of selecting a small or medium hair clip is:

P(small or medium) = P(small) + P(medium)

= 15/33 + 12/33

= 27/33

= 9/11

So the answer is (A) 9/11.

To know more about Event visit:

https://brainly.com/question/25384193

#SPJ1

The place with the highest temperature is Oslo.

The difference between the temperature in Ottawa and Oslo is 5.2 degrees Celsius .

The new temperature in Moscow is 11 degrees Celsius .

When temperatures are in the negatives, the higher temperature would be the smaller number. Oslo therefore has the highest temperature at - 4.3 °C.

The difference between the temperature in Ottawa and Oslo can be found by subtracting the temperatures:

= - 4 . 3 - ( - 9 . 5 )

= - 4.3 + 9 .5

= 5. 2 degrees Celsius

The new temperature in Moscow is:

= - 7.9 - 3.1

= 11 degrees Celsius

Find out more on temperature at https://brainly.com/question/30172565

#SPJ1

Answer:

(x,y)=(2,-1)

Step-by-step explanation:

The vector field F(x, y, z) = eyzi + xzeyzj + xyeyzk is conservative, and a potential function f is f(x, y, z) = xeyzi + xy²ezj + xyzek + C

How to determine vector field?

To determine if a vector field is conservative, we need to check if its curl is zero. If the curl is zero, it implies that the vector field can be expressed as the gradient of a scalar function.

Taking the curl of F, we have:

curl(F) = (∂F₃/∂y - ∂F₂/∂z)i + (∂F₁/∂z - ∂F₃/∂x)j + (∂F₂/∂x - ∂F₁/∂y)k

Evaluating the partial derivatives, we get:

curl(F) = (z - z) i + (x - x) j + (y - y) k

= 0

Since the curl of F is zero, the vector field F is conservative. We can find a potential function f by integrating each component of F with respect to its respective variable:

f(x, y, z) = ∫eyzi dx = xeyzi + g₁(y, z)

∫xzeyzj dy = xy²ezj + g₂(x, z)

∫xyeyzk dz = xyzek + g₃(x, y)

Here, g₁, g₂, and g₃ are arbitrary functions of the remaining variables. Combining these results, we obtain the potential function:

f(x, y, z) = xeyzi + xy²ezj + xyzek + C

Where C is the constant of integration. Therefore, a potential function f exists for the given vector field F, and it is given by f(x, y, z) = xeyzi + xy²ezj + xyzek + C.

To know more about vector field, refer here:
https://brainly.com/question/102477
#SPJ4

This line quote from Old Major's "Whatever goes upon two legs is an enemy. Whatever goes upon four legs, or has wings, is a friend." This line ratio reveals that animals should not oppress each other and should instead be united as friends.

This line from Old Major's speech in Animal Farm reveals the core message of the Seven Commandments: animals should not oppress each other and should instead be united as friends. This is made clear by the dichotomy between “two legs” and “four legs or has wings”, which represent humans and animals respectively. By stating that animals should not oppress those like them, Old Major is emphasizing the need for all animals to stick together and reject the oppression humans are able to inflict on them. The Seven Commandments that Old Major lays out are meant to be a guide for the animals to follow so that they can come together and fight against the oppressive human regime. The commandment “no animal shall oppress another” is useful in this respect, as it reinforces the idea that animals should be united and work together towards a common goal.

Learn more about quote here

https://brainly.com/question/29775308

#SPJ4

Elise walked a distance of 9.2 kilometers on Tuesday.

To solve the problem, we need to first understand the information provided.

On Monday, Elise walked a distance of 9.9 kilometers.

On Tuesday, she walked a distance that was 0.7 kilometers less than what she walked on Monday.

This means that we need to subtract 0.7 kilometers from the distance that she walked on Monday to find the distance she walked on Tuesday.

To do this, we can use subtraction. We start by writing down the distance Elise walked on Monday, which is 9.9 kilometers, and then subtract 0.7 kilometers from it.

9.9 km - 0.7 km = 9.2 km

To know more about distance here

https://brainly.com/question/4199102

#SPJ4

Answer: 14

Step-by-step explanation:

Answer:

-2.1

Step-by-step explanation:

Answer:

-2 1/10

Step-by-step explanation:

\( - \frac{9}{6} + ( - \frac{3}{5} ) = - \frac{3}{2} + ( - \frac{3}{5} ) = - \frac{15 + 6}{10} = - \frac{21}{10} = - 2 \frac{1}{10} \)

(a) g'(π/3)  = 12. This can be found using the product rule, which states that the derivative of f(x) g(x) is f'(x) g(x) + f(x) g'(x). In this case, f(x) = sin x and g(x) = f(x), so the product rule gives us: g'(x) = f'(x) g(x) + f(x) g'(x)

Plugging in x = π/3 and using the fact that f(π/3) = 4 and f'(π/3) = −3, we get g'(π/3) = (-3) 4 + 4 g'(π/3)

Solving for g'(π/3), we get g'(π/3) = 12.

(b) h'(π/3)

The h'(π/3) = −3/4, this can be found using the quotient rule, which states that the derivative of f(x)/g(x) is (g'(x) f(x) - f'(x) g(x)) / [g(x)]^2. In this case, f(x) = cos x and g(x) = f(x), so the quotient rule gives us h'(x) = (f'(x) g(x) - f(x) g'(x)) / [g(x)]^2

Plugging in x = π/3 and using the fact that f(π/3) = 4 and f'(π/3) = −3, we get: h'(π/3) = ((-3) 4 - 4 (-3)) / (4)^2 = -3/4

The product rule and quotient rule are two important differentiation rules that can be used to find the derivatives of composite functions. The product rule states that the derivative of f(x) g(x) is f'(x) g(x) + f(x) g'(x). The quotient rule states that the derivative of f(x)/g(x) is (g'(x) f(x) - f'(x) g(x)) / [g(x)]^2.

In this problem, we were given that f(π/3) = 4 and f'(π/3) = −3. We were then asked to find g'(π/3) and h'(π/3). To find g'(π/3), we used the product rule. To find h'(π/3), we used the quotient rule.

The product rule and quotient rule are powerful tools that can be used to find the derivatives of a wide variety of functions. They are essential for anyone who wants to understand calculus.

To know more about derivative click here

brainly.com/question/29096174

#SPJ11

                                       "complete question"

Suppose f(π/3) = 4 and f '(π/3) = −3, and let g(x) = f(x) sin x and h(x) = (cos x)/f(x). Find the following.

(a) g'(π/3)

(b) h'(π/3)

6−4617d

    256

HOPES THIS HELPS PLEASE MARK AS BRAINLIEST

Answer:

15 gumballs

Step-by-step explanation:

There would have to be...

30%*50 green gumballs

We can start by converting 30% to a fraction. Any percentage is just that number over one hundred so...

30/100*50

We can simplify 30/100 by dividing the numerator and the denominator by 10...

3/10*50

Cancel out 10 and 50 (50/10=5)

3*5

15 gumballs would have to be green

Answer:

15 gumballs would have to be green.

To solve this question, you would need to figure out what is 30% of 50.

First, change 30% into it's decimal form, 0.3, then multiply it with 50.

Answer:

\(x(x+20)-36\)

Step-by-step explanation:

\(x^2 + 20x -36\)

\(x(x+20)-36\)

Answer:

This polynomial can't be factored bc its prime

Step-by-step explanation:

Answer:

x = 35y/27

y = 27x/35

Answer:

Hence The Answer is 66.

Step-by-step explanation:

I Hope It Helps You.

• • •

The simplified expression is 99.3333 (rounded to four decimal places).

To simplify the expression 62 + 2{56/(4 multiplied by 2) - 5}, we'll follow the order of operations (also known as PEMDAS).

First, within the innermost parentheses, we have 4 multiplied by 2, which equals 8. Then, we subtract 5 from 8, resulting in 3.

Next, we have 56 divided by 3, which equals 18.6667 (rounded to four decimal places).

Now, we'll move to the outer set of curly braces. We multiply 18.6667 by 2, giving us 37.3333 (rounded to four decimal places).

Finally, we add 62 to 37.3333, resulting in 99.3333 (rounded to four decimal places).

To learn more about expressions click on,

https://brainly.com/question/19555499

#SPJ2

Complete question is:

Simplify 62+2{56/(4 multipied by 2)-5.

Answer:

Step-by-step explanation:

8,400

Answer:

8,400

Step-by-step explanation:

the hundreds place is the third nearest one to the left

So it’s 8,400

Hopes this helps please mark brainliest

Answer: a+c=27,126

Step-by-step explanation:

Answer:

To find the perimeter (or arc length) of an ellipse, you'll need to use an elliptic integral

The perimeter is a distance around the outlines or edge of any shape. A practical example of measuring the perimeter of an ellipse would be the distance you cover when you walk along the edges of an elliptical-shaped field. Or the length of fence you need to surround it

Answer:

-8 is the answer, have a good day :)

Step-by-step explanation:

Answer:

102.01

Step-by-step explanation:

P(\((1+\frac{R}{100}) ^{T}\) ← substitute the given values for P, R and T into the expression

= 100( 1 + \(\frac{10}{100}\) )²

= 100(1 + 0.1)²

= 100(1.01)²

= 100 × 1.0201

= 102.01

Answer:

\( \cos(47 \degree) = \frac{h}{12} \\ h = 12 \cos(47 \degree) \\ h = 8.2 \: cm\)

you need to use cos

function

The expected number of purple marbles in the additional 50 experiments would be p * 50.

To determine how many times Tanya can expect to pull a purple marble in the additional 50 experiments, we need to consider the probability of pulling a purple marble in a single experiment.  Let's assume that in the original experiment, Tanya conducted a large number of trials and found that the probability of pulling a purple marble was p (where 0 ≤ p ≤ 1). Since the probability remains constant, we can use this value to estimate the number of purple marbles in the additional experiments.

The expected number of purple marbles in a single experiment can be calculated by multiplying the probability of pulling a purple marble (p) by the total number of experiments (50).

To learn more about marbel click here -

brainly.com/question/9077008

#SPJ11

Answer:

ALine 1,B neither,CLine 2

Step-by-step explanation:

The answer to 40 is line one. all you have to do is replace x with the first number in the parenthesis and y with the second. In addition remeber that 2 negatives make a positive.

So A: Line 1

B : neither

C: Line 2

hope this helps please tell me if it is correct :)