1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PIT_PIT [208]
3 years ago
9

If a + b + c = -2 and x + y = 10, what is -9a + 2x - 9b - 9c + 2y?

Mathematics
1 answer:
MaRussiya [10]3 years ago
4 0
38
because since all abc and xy have the same coefficients it makes it easier. 
i just made a=-2, b=-4,and c=4 because when added up it equals -2
i also made both x and y =5 becasue when added up it equals 10
so, -9(-2)+2(5)-9(-4)-9(4)+2(5)
18+10+36-36+10=38
You might be interested in
12 - C = –16<br> solve for C
inna [77]

Answer:

28

Step-by-step explanation:

1) subtract 12 from both sides

2) divide by negative 1

3 0
3 years ago
Read 2 more answers
What is a sigma??? pls need help!!
azamat

Answer:

Sigma is the eighteenth letter of the Greek alphabet. In the system of Greek numerals, it has a value of 200. In general mathematics, uppercase ∑ is used as an operator for summation. When used at the end of a letter-case word, the final form is used

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How many nonzero terms of the Maclaurin series for ln(1 x) do you need to use to estimate ln(1.4) to within 0.001?
Vilka [71]

Answer:

The estimate of In(1.4) is the first five non-zero terms.

Step-by-step explanation:

From the given information:

We are to find the estimate of In(1 . 4) within 0.001 by applying the function of the Maclaurin series for f(x) = In (1 + x)

So, by the application of Maclurin Series which can be expressed as:

f(x) = f(0) + \dfrac{xf'(0)}{1!}+ \dfrac{x^2 f"(0)}{2!}+ \dfrac{x^3f'(0)}{3!}+...  \ \ \  \ \ --- (1)

Let examine f(x) = In(1+x), then find its derivatives;

f(x) = In(1+x)          

f'(x) = \dfrac{1}{1+x}

f'(0)   = \dfrac{1}{1+0}=1

f ' ' (x)    = \dfrac{1}{(1+x)^2}

f ' ' (x)   = \dfrac{1}{(1+0)^2}=-1

f '  ' '(x)   = \dfrac{2}{(1+x)^3}

f '  ' '(x)    = \dfrac{2}{(1+0)^3} = 2

f ' '  ' '(x)    = \dfrac{6}{(1+x)^4}

f ' '  ' '(x)   = \dfrac{6}{(1+0)^4}=-6

f ' ' ' ' ' (x)    = \dfrac{24}{(1+x)^5} = 24

f ' ' ' ' ' (x)    = \dfrac{24}{(1+0)^5} = 24

Now, the next process is to substitute the above values back into equation (1)

f(x) = f(0) + \dfrac{xf'(0)}{1!}+ \dfrac{x^2f' \  '(0)}{2!}+\dfrac{x^3f \ '\ '\ '(0)}{3!}+\dfrac{x^4f '\ '\ ' \ ' \(0)}{4!}+\dfrac{x^5f' \ ' \ ' \ ' \ '0)}{5!}+ ...

In(1+x) = o + \dfrac{x(1)}{1!}+ \dfrac{x^2(-1)}{2!}+ \dfrac{x^3(2)}{3!}+ \dfrac{x^4(-6)}{4!}+ \dfrac{x^5(24)}{5!}+ ...

In (1+x) = x - \dfrac{x^2}{2}+\dfrac{x^3}{3}-\dfrac{x^4}{4}+\dfrac{x^5}{5}- \dfrac{x^6}{6}+...

To estimate the value of In(1.4), let's replace x with 0.4

In (1+x) = x - \dfrac{x^2}{2}+\dfrac{x^3}{3}-\dfrac{x^4}{4}+\dfrac{x^5}{5}- \dfrac{x^6}{6}+...

In (1+0.4) = 0.4 - \dfrac{0.4^2}{2}+\dfrac{0.4^3}{3}-\dfrac{0.4^4}{4}+\dfrac{0.4^5}{5}- \dfrac{0.4^6}{6}+...

Therefore, from the above calculations, we will realize that the value of \dfrac{0.4^5}{5}= 0.002048 as well as \dfrac{0.4^6}{6}= 0.00068267 which are less than 0.001

Hence, the estimate of In(1.4) to the term is \dfrac{0.4^5}{5} is said to be enough to justify our claim.

∴

The estimate of In(1.4) is the first five non-zero terms.

8 0
3 years ago
Volume of a cone is 593.46 cubic in, the radius is 9in what is the height to the nearest inch?
GarryVolchara [31]
Equation for volume of cone: v = π*r²*(h/3)
substitute the variables with the known number values:
593.46 = V
r = 9
Solve for h
(593.46) = π*(9)²*(h/3)
Solve for h! :-)
5 0
3 years ago
Standing 140 feet from the base of a tree, Alejandro uses his clinometer to site the top of the tree. The reading on his clinome
Advocard [28]

Answer:

132 feet

Step-by-step explanation:

Given that Alejandro is standing at a distance of 140 feet from the base of the tree and his eyes are 6 feet above the ground.

Let AB is the height of the tree and point E is the location of his eyes which is 6 feet above from C on the ground as shown in the figure.

The distance between points A and C, AC=140 feet.

Drawing a horizontal line from point E which meets AB at point D as shown.

As ACED forms a rectangle, so

AC=DE=140 feet ...(i)

CE=AD= 6 feet ...(ii)

The height of the tree, AB=AD+DB

By using equation (ii),  AB=6+DB ...(iii)

Now, given that the on watching the top of the tree, the reading on the clinometer is 42 degrees.

So,\angle DEB = 42^{\circ}

In triangle DEB,

\tan 42^{\circ} = \frac {DB}{DE} \\\\\Rightarrow DB = DE \times \tan 42^{\circ} \\\\

\Rightarrow DB = 140 \times \tan 42^{\circ} [from (i)]

\Rightarrow DB = 126 feet

From equation (iii) the height of the tree is

AB=6+126=132 feet.

Hence, the height of the tree is 132 feet.

7 0
2 years ago
Other questions:
  • Can someone help me solve X please?
    13·1 answer
  • On Martin's first stroke, his golf ball traveled \dfrac45 5 4 ​ start fraction, 4, divided by, 5, end fraction of the distance t
    9·1 answer
  • Please do questions 17,21, and 22
    9·2 answers
  • Is 18/25 bigger than 11/15
    10·1 answer
  • There are (3^2)^4 ⋅ 3^0 bacteria in a petri dish. What is the total number of bacteria in the dish?
    14·1 answer
  • 2. Mark deposits $600 into a savings account that earns 5% interest compounded annually for 3 years. How much money will Mark ha
    12·1 answer
  • Marys Goal is to get 50,000 dollars. she got 5,000 from 5 days how many more days does it take for sherry to get 50,000 to achie
    10·1 answer
  • 5) Write the 5 number summary and draw a box and whisker plot.<br> 58, 67, 44, 72,51, 42, 60, 46, 69
    8·1 answer
  • Two customers walk into Petsmart with the same amount of money. One customer adopts a lizard and leaves the store with $56 left
    7·2 answers
  • 1 7/8 * 3 in a fraction form ​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!