Answer:
The general form of the equation for the orbit of the satellite is [tex]x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16[/tex].
Step-by-step explanation:
From statement we have the general equation of the elliptic form of Earth. First we have to transform this formula to the standard form of the equation of the circle. That is:
1) [tex]x^{2}+y^{2}+8\cdot x +2\cdot y -4883=0[/tex] Given
2) [tex](x^{2}+8\cdot x)+(y^{2}+2\cdot y) = 4883[/tex] Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.
3) [tex](x^{2}+8\cdot x +16)+(y^{2}+2\cdot y+1)-17=4883[/tex] Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.
4) [tex](x+4)^{2}+(y+1)^{2} = 4900[/tex] Square perfect trinomial/Result
According the result, the center of Earth is [tex]C(x,y) = (4, 1)[/tex] and the square of the radius of Earth equals 4900. That is: [tex]r = 70[/tex]
If satellite circles 0.4 unit above Earth, then the equation of the orbit of the satellite is:
[tex](x+4)^{2}+(y+1)^{2}=70.4^{2}[/tex]
[tex](x+4)^{2}+(y+1)^{2} = 4956.16[/tex]
Now we transform this into its general form:
1) [tex](x+4)^{2}+(y+1)^{2} = 4956.16[/tex] Given
2) [tex]x^{2}+8\cdot x +16+y^{2}+2\cdot y+1 = 4956.16[/tex] Square perfect trinomial
3) [tex]x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16[/tex] Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse/Result
The general form of the equation for the orbit of the satellite is [tex]x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16[/tex].
A preschool class has 14 girls and 10 boys. What is the ratio of boys to
the WHOLE class?
Answer:
10/24 or 5/12
Step-by-step explanation:
If you add both boys and girls you will get 24 which is the total students and the number of boys us 10 so it would be 10/24 or simplified would be 5/12.
:) Hope this helps
2. Given g(x) = x +5, find the following.
a. g(4)
b.g(-10)
c. g(0)
9514 1404 393
Answer:
a) 9
b) -5
c) 5
Step-by-step explanation:
Put the value of the argument where x is and do the arithmetic.
a) g(4) = 4+5 = 9
b) g(-10) = -10 +5 = -5
c) g(0) = 0 +5 = 5
can someone help please
Answer:
Tissue
Step-by-step explanation:
Forgive me if I'm wrong but I'm 90 percent sure I'm not.
Happy almost Halloween!!
Ok, I made a mistake on my last question, but this time I have the right one. Solve v, 5/v=2/7.25
Answer:
[tex]v=\frac{145}{8}[/tex]
Step-by-step explanation:
[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]
[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]
[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]
[tex]v=\frac{145}{8}[/tex]
how different are polynomials from non-polynomials?
Answer:
The polynomials can be identified by noting which expressions contain only the operations of addition, subtraction, multiplication, and non-negative integer exponents. The non-polynomial expressions will be the expressions which contain other operations. Explain why the non-polynomial expressions are not polynomials.
The graph of h is a translation 6 units down and 2 units left of the graph of f(x)=x2−7x. For each value of x, g(x) is 115% of h(x). Write a rule for g
Answer:
HELPPPPPP
Step-by-step explanation:
HELPPPPPPP
please help ;(
john is j years old. the product of his younger brother’s and older sister’s ages is j^2-2j-15. how old are john’s brother and sister is terms of john’s age?
Answer:
[tex](j-5)(j+3)[/tex]
Step-by-step explanation:
[tex]j^2-2j-15=(j-5)(j+3)[/tex]
The age of John’s brother is j-5 and the age of John’s sister is j+3.
Given that, John is j years old. The product of his younger brother's and older sister's age is j²-2j-15.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The solution for j²-2j-15 is as follows
j²-2j-15
⇒ j²-5j+3j-15
⇒ j(j-5)+3(j-5)
⇒ (j-5)(j+3)
Therefore, the age of John’s brother is j-5 and the age of John’s sister is j+3.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ5
There are six roses in the vase. Alyssa cut some more roses from her flower garden. There are now 16 roses in a vase. How many roses did she cut?
Answer:
10
Step-by-step explanation:
because 6+10=16. I feel so bad for all of the flowers.
PLEASEEE HELP TOMORROW IS THE LAST DAY TO THEN STUFF IN AND ITS REPORT CARDS
This is ezz homework pay attention in class
I think this is correct
Which property is illustrated by the following statement
Answer:
Communitive
Step-by-step explanation:
It is just saying that they are congruent and they just restated in different ways. It is like 4+3=7 and 3+4=7
Hope this helps
f (x) = 8x^4 – 64
Factor completely
Answer:
8(x^4 - 8)
Step-by-step explanation:
Factor out an 8, since both 8 and 64 are divisible by 8:
f(x) = 8x^4 - 64
f(x) = 8(x^4 - 8)
So, the equation factored completely is 8(x^4 - 8)
Answer:
[tex]\huge\boxed{f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+2\sqrt2)}[/tex]
[tex]\huge\boxed{f(x)=8(x-2)(x^2+2x+4)}[/tex]
Step-by-step explanation:
[tex]f(x)=8x^4-64\qquad|\text{distribute}\\\\f(x)=8(x^4-8)=8\bigg[(x^2)^2-\left(\sqrt8\right)^2\bigg]\qquad|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x^2-\sqrt8)(x^2+\sqrt8)=8\bigg[x^2-\left(\sqrt[4]8\right)^2\bigg](x^2+\sqrt8)\\\\|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+\sqrt8)\\\\\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]
taking into account the correction from the comment
[tex]f(x)=8x^3-64=8(x^3-8)=8(x^3-2^3)\\\\\text{use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\f(x)=8(x-2)(x^2+(x)(2)+2^2)=8(x-2)(x^2+2x+4)[/tex]
help meeeeeeeeeeeeeeee
Answer:
A
Step-by-step explanation:
a printer can print 12 pages in 9 seconds what is the closest estimate of the number of pages it can print in 1 min
Answer:
estimated number of pages it can print will 80 in 1 min.
Step-by-step explanation:
If 12 pages/9 Seconds then by multiplying by 60 secs as there are 60 secs in 1 min.
we get
12/9 then multiply by 60 you will get 80 pages in 1 minute.
Number of pages a printer can print in 9 seconds = 12 pages
Number of pages than can be printed in 1 second =
= 12/9
= 1.3 pages
Number of pages that can be printed in 1 second = 0.75 page
Number of pages that can be printed in 1 minute =
= 1 minute = 60 seconds
Number of pages that can be printed in 60 seconds =
= 1.3 × 60
= 78 pages
Rounding off 78 , we get 80 .
Therefore , 80 pages can be printed in 1 minute .
Question 14
1 pts
Which of the following equations represents a line perpendicular to y=1/4x-1?
y = -3/2x+6
y = 3/2x-2
y = -2/3x+7
y = 2/3x-3
Answer:
its the first option, y = -3/2x+6
Step-by-step explanation:
The product of two
consecutive whole numbers is
132. What are the two
consecutive whole numbers?
Answer:
11 and 12
Step-by-step explanation:
x(x+1)=132
x^2+x=132
x^2+x-132=0
(x-11)(x+12)=0
x = 11 or x = -12
when x=11 ,
x+1=12
11*12=132
A local clothing store sells t-shirts for $8 each, sweaters for $12 each, jeans for $15 each. Let x represent the number of t-shirts sold, y represents the number of sweaters sold, and z represent the number of jeans sold. Write an expression to represent the total amount of sales from t-shirts, sweaters, and jeans
Answer:
8x + 12y + 15z
Step-by-step explanation:
Given the sales rate of three items: 8$ for t-shirts, 12$ for sweaters, and 15$ for jeans. It also states that these rates are represented by the corresponding variables being x for t-shirts, y for sweaters, and z for jeans.
To complete the expression, just combine the rate with the corresponding variables. i.e 8$ for t-shirts, and x for shirts = 8x, 12$ for sweaters and y for sweaters = 12y, 15$ for jeans, and z for jeans = 15z. Finally, sum them together.
8x + 12y + 15z
Help me please, very important!!! (PLEASE)
Read the question carefully!
(+16) + (-32) =
A -12
B 14
C -16
Answer:
-16
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
16+(-32)= -16
Select the expression that is equivalent to 4x2 – 25.
Help
Answer:
Factor form: (2x-5)(2x+5)
If you olny simplify: 8x-25
Step-by-step explanation:
What are rational numbers
Answer:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers
Answer:
C. it cannot be a whole number
Step-by-step explanation:
Kacey rode her bicycle 227 miles in 7 hours. How many miles did kacey travel per hour?
Answer:
39
Step-by-step explanation:
Answer:
32.4825
hope this helped :)
An athlete us jumping. However, everytime she jumps she gets a bit more tired, and every jump goes 1/2 as far as her prior jump. Now, for her very first jump, she goes 1/2 of a foot. On her second jump, she goes 1/4 of a foot, and so on and so forth. How many jumps does it take to get to travel 1 foot
Answer:
She can never travel a distance of 1 foot for the given condition.
Step-by-step explanation:
In every jump, she goes 1/2 as far as her prior jump.
In the 1st jump, she covered a distance, d_1= \frac 1 2 foot.
The distance covered in the 2nd jump
[tex]d_2= \frac 12 \times d_1 = = \frac 12 \times \frac 12= \frac 1 4[/tex] (given)
So, the distanve covered in the 3rd jump
[tex]=\frac 12 \times d_2= \left(\frac 1 2\right )^2\times \frac 1 2= \left(\frac 1 2\right)^{3-1}\times \frac 1 2.[/tex]
Similarly, the distance covered in the [tex]r^{th}[/tex] jump
[tex]=\left(\frac 12 \right)^{r-1}\times \frac 1 2.[/tex]
Assuming she requires [tex]n[/tex] jumps to travel 1 foot of distance.
So, the sum of all the distances covered in n jumps = 1 foot
[tex]\Rightarrow \frac 1 2 + \frac 1 4 + \cdots + \left(\frac 12 \right)^{r-1}\times \frac 1 2+\cdots+ \left(\frac 12 \right)^{n-1}\times \frac 1 2=1[/tex]
[tex]\Rightarrow \frac 1 2 + \left(\frac 12 \right)^2 + \cdots + \left(\frac 12 \right)^{r}+\cdots+ \left(\frac 12 \right)^{n}=1[/tex]
This a geometric progression, G.P., of [tex]n[/tex] terms having common ration, r= 1/2 and the first term [tex]a_1= 1/2[/tex].
As sum of all the n terms of G.P [tex]=\frac {a_1(r^n-1)}{r-1}[/tex],
[tex]\Rightarrow \frac {1/2((1/2)^n-1)}{1/2-1}=1[/tex]
[tex]\Rightarrow - \left(\left(\frac 1 2\right)^n-1\right)=1[/tex]
[tex]\Rightarrow \left(\frac 1 2\right)^n-1=-1[/tex]
[tex]\Rightarrow \left(\frac 1 2\right)^n=-1+1=0[/tex]
[tex]\Rightarrow \frac {1}{2^n}=0[/tex]
This is only possible, mathematically, when [tex]n\rightarrow \infty[/tex], But in real life situation reaching infinity is not possible.
Hence, she can never travel a distance of 1 foot for the given condition.
Find the value of the expression below.
15 + 5 × 3
-------------- (fraction)
3² + 6
5
4
2
Answer:
2
Step-by-step explanation:
15 + 5 × 3
________
3² + 6
For this question, we need to use PEMDAS to solve the question correctly. PEMDAS stands for "parentheses, exponents, multiplication, division, addition, subtraction". In this question, for the numerator, we see 5 x 3 so that's multiplication. So we multiply those together to get 15. In the denominator, there's an exponent which is 3². We have to find the square of 3 so that we can simplify the denominator as well. That simplifies to 9:
(15+15)/(9+6)
Next, we just have to add the 15+15 in the numerator together and 9+6 in the denominator together:
30/15
Finally, we divide 30/15 to get 2 as our answer
2
Find the standard form for the equation of the line which
passes through the point (9,-46) and which has a
y-intercept of – 1.
Answer: Well I believe the answer is Y= x - 55
Step-by-step explanation:Hope that works :)
Harold earns $10.50 per hour working at a doctor's office. On Monday, he spent 1 hours filing paperwork, 1 sending e-mails and 2
hours making appointments. What equation represents Harold's earnings?
you add the fractions together
1 5/12+1 3/4+2 1/3 is 4 3/1 which simplifies to 7
multiply 7 by 10.50 and get 73.5
ANSWER= $73.50
José and Maris work for different car dealerships. José earns a monthly salary of $3,500 plus a 8% commission on sales. Maris earns a monthly salary of $3,900 plus a 6% commission on sales. Above what value of sales are José's monthly earnings more than those of Maris?
Answer: When sales are greater than 2000 then José's monthly earnings sre more than those of Maris.
Step-by-step explanation:
Let x= Total sales
For José, monthly salary = $3,500
Commission percentage = 8% =0.08
Monthly earnings= Monthly salary + (Commission percentage) x (Total sales)
Monthly earnings= 3500 +0.08 x
For Maris, monthly salary = $3,900
Commission percentage = 6%
Monthly earnings= 3900 +0.06 x
When José's monthly earnings > Maris's monthly earnings
then, 3500 +0.08 x > 3900 +0.06 x
Subtract 3500 from both sides, we get
0.08 x > 400+0.06x
Subtract 0.06x from both sides, we get
0.02x>400
Divide both sides b 0.02
x> 20000
When sales are greater than 2000 then José's monthly earnings sre more than those of Maris.
PLEASE HELPPP I DONT UNDERSTAND
Step-by-step explanation:
You need to do the distributive property to answer this question.
Everything in the outside of the parenthesis needs to be multiplied by each number inside the parenthesis.
Hope this helps you!
Answer:
(3 ^2 x 2x^ 4 y^2 )
Step-by-step explanation:
How many 180, degrees angles does it take to make a full turn?
Answer:
2 times
Step-by-step explanation:
you do the equation 180 + 180 and get 360 or you can multiply 180 x 2 and get 360. Hope this helps you!
Please HELP!!! I will give 23 points!! Answer the following questions. Please answer correctly!!! Thanks!
1. c
2. c
3. a
4. a
5. d
Questions 1-5. Bryan invests $500 in an account earning 4% interest that compounds annually. If he makes no additional deposits or withdrawals, how much will be in the account:
After 15 years?
(round to the hundredths place
Answer:
608.33
Step-by-step explanation: