Answer:
(B) 25, 36
Step-by-step explanation:
1 = 1²
4 = 2²
9 = 3²
16 = 4²
25 = 5²
35 = 6²
The integers set included in the interval -45 x <3 is {-4,-3,-2,-1,0,1,2,3}.
True or False
Answer:
False
Step-by-step explanation:
-45x < 3
-x < 3/45
-x < 1/15 Multiply by -1 because x is negative and remember to
change all parts to its opposite.
Therefore x > -1/15
A satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million three hundred thirty four thousand four hundred plus y squared over forty three million nine hundred fifty six thousand nine hundred equals 1 comma where the distances are measured in km. The Earth shares the same center as the orbit. If the radius of the Earth is 6,370 km, what is the maximum distance between the satellite and the Earth?
6,880 km
6,630 km
510 km
260 km
An elliptical of the satellite in the field of astrodynamics is known as a
Kepler orbit.
The distance between the satellite and the Earth is; 510 km.
Reasons:
The function that represents the elliptical orbit of the satellite is presented
as follows;
[tex]\dfrac{x^2}{47,334,400} + \dfrac{y^2}{43,956,900} = 1[/tex]
The radius of the Earth, R = 6,370 km.
The equation of an ellipse is presented as follows;
[tex]\mathbf{\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2}} = 1[/tex]
Where, in a horizontal ellipse;
a = The major axis (the longer axis), which gives the maximum distance
between the satellite and Earth.
b = The minor axis (the shorter axis)
By comparison, we get;
a² = 47,334,400 km²
Therefore;
a = √(47,334,400 km²) = 6,880 km.
The distance between the satellite and the surface of the Earth, d, is given
as follows;
d = a - R
Which gives;
d = 6,880 km - 6,370 km = 510 km
Distance between the satellite and the surface of the Earth, d = 510 km.
Learn more here:
https://brainly.com/question/13999216
Answer:510 KM
Step-by-step explanation:
it is predicted that by 2050 there will be 10^10 people living on earth. approximatrly will be 10^12 trees. how many trees for each person?
Interesting question. Does that mean near the end of humanity?
Solution 1:
10^10 = 1,000,000,000
10^12 = 100,000,000,000
100,000,000,000/1,000,000,000 = 100 trees per person
Solution 2:
10^12 / 10^10 --- 10^10 / 10^10
10^2/1 = 10^2 = 100 trees per person
5 1/8 - 3 2/3 =? ..............................
Answer:
1 11/24
Step-by-step explanation:
5 1/8= 41/8
3 2/3 = 11/3
41/8 -11/3 = (41*3)/(8*3) -(11*8)/(3*8)
=123/24 -88/24
= (123-88)/24
=35/24
=1 11/24
An electrician charges a flat fee plus an hourly rate for a service call. She charges a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday. How much should she charge for a 2-hour service call?
$36
$52
$76
$98
Answer:
$76.
Step-by-step explanation:
Determine whether the ratios 8:7 and 15:14 are equivalent
Answer:
They are not
Step-by-step explanation:
We can see that 14 / 2 = 7, so we can check for the other side by dividing both sides of the ratio by 2:
15:14
\/
7.5:7 ≠ 8:7
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
12x-4=10x-10+30 find value of x
Answer:
12
Step-by-step explanation:
12x - 4 = 10x + 20
2x - 4 = 20
2x = 24
x = 12
B. DIRECTION: Read and analyze each problem. Give the best answer you can give in order to solve the problem
1. what is asked in the problem?____________________
2. What operation are you going to use to slove the problem?________
3. Show your solution___________________
Answer:
1: How much longer did he run than walk.
2: Subtraction
3: 1/8 hour
Step-by-step explanation:
1: The last sentence says what is being asked.
2: We want to see how much longer something is so it is subtraction.
3: 3/4 = 6/8 7/8 - 6/8 = 1/8
at does the point (2, 1.5) represent in this context?
In what context? Do you mean calculus If you are talking about graphing on a graph plane it would be the two accelerates on the x axis so (left or right) and then the 1.5 accelerates on the y axis so 1.5 on the y axis would be one and halfway to the 2 mark on the y axis so in the middle of 1 to 2 on the y axis the y axis goes (up and down)
Find the simplified product. 5/n+1 times n+1/n+3
[tex]\left(\dfrac{5}{n+1}\right) \left( \dfrac{n+1}{n+3} \right)\\\\\\=\dfrac{5(n+1)}{(n+1)(n+3)} \\\\\\=\dfrac{5}{n+3}[/tex]
10) For the holidays, Judy wants to spray fake snow around
the perimeter of her front store window and along both
diagonals. How many feet of snow will she be spraying?
8 feet
15 feet
Answer:i dont know sorry
Step-by-step explanation:
work out the value of x trigonometry
Check the picture below.
how many prime numbers are multiples of 8
There are no prime numbers are multiples of 8. All the multiples of 8 are divided by 2.
What is a prime number?Prime numbers are whole numbers larger than one with only one element the number itself. Prime numbers can only be divided by the number 1 or by themselves.
All the terms that come in the table of 8 are multiples of 8.
8, 16, 24, 32, 40, 48, 56, 64, 72, and 80 are the multiples of 8. There are no prime numbers are multiples of 8.
Hence there is no prime numbers multiples of 8.
To learn more about the prime number refer to the link;
https://brainly.com/question/9315685
can someone please help!!!
Answers:
System 1: x = 3 and y = -5System 2: x = 1 and y = 2==========================================================
Explanation:
For now, let's focus on system 1.
We have identical copies of "2y" in each equation, which means that if we were to subtract the equations straight down, then the y terms cancel out. That allows us to solve for x.
The x terms subtract to 7x-x = 6xThe y terms subtract to 0 and go awayThe right hand sides subtract to 11 minus (-7) = 11-(-7) = 11+7 = 18After doing those subtractions, we have the new equation 6x = 18 which solves to x = 3. Divide both sides by 6 to isolate x.
Once we know x, we can find out y.
7x+2y = 11
7(3)+2y = 11
21+2y = 11
2y = 11-21
2y = -10
y = -10/2
y = -5
or we can say
x+2y = -7
3+2y = -7
2y = -7-3
2y = -10
y = -10/2
y = -5
We should lead to the same y value either way. This helps confirm we have the correct x value.
Overall, the solution to system 1 is (x,y) = (3, -5)
----------------------------
Now onto system 2.
Unfortunately, we don't have identical y terms this time. But what we can do is double everything in the second equation to go from -x+y = 1 to -2x+2y = 2.
The new equivalent system is
[tex]\begin{cases}7x+2y = 11\\-2x+2y = 2\end{cases}[/tex]
Now we have the same situation as before: Subtract straight down, solve for x.
The x terms subtract to 7x-(-2x) = 7x+2x = 9xThe y terms go away when subtractingThe right hand sides subtract to 11-2 = 9So we have 9x = 9 and that solves to x = 1.
We'll use this x to find the y value.
7x+2y = 11
7(1)+2y = 11
7+2y = 11
2y = 11-7
2y = 4
y = 4/2
y = 2
Or you could pick on the second equation
-x+y = 1
-1+y = 1
y = 1+1
y = 2
Amanda has $5200 in a savings account that earns 4% simple interest annually. What is the value of her account in 5 years?
Answer:
6,240
Step-by-step explanation:
You start off with 5200, if she earns 4% each year for the next 5 years, she would earn a total of 20% more than what she had now.
You would multiply 5,200 by 1.20 Which equals the answer (above)
Determine the x-intercept for 3x + 2y = 14,
A)
(7,0)
B)
(0,7)
C)
2,0)
D)
(0,14
Answer:
X-intercept: [tex](\frac{14}{3}, 0)[/tex].
Y-intercept: (0, 7) ⇒ Option B.
Step-by-step explanation:
I'm not certain whether the question asks for either the x-intercept or the y-intercept, but I will provide the answers for both since none of the given options matches the coordinates of the x-intercept.
X-intercept:The x-intercept is the point on the graph where it crosses the x-axis, with coordinates of (a, 0). The x-intercept is the value of x when y = 0.
Given the linear equation in standard form, 3x + 2y = 14, set y = 0 to solve for the x-intercept:
3x + 2y = 14
3x + 2(0) = 14
3x + 0 = 14
3x = 14
Divide both sides by 3 to solve for x:
[tex]\frac{3x}{3} = \frac{14}{3}[/tex]
[tex]x = \frac{14}{3}[/tex]
Therefore, the x-intercept is [tex](\frac{14}{3}, 0)[/tex]. None of the given option matches the value of the x-intercept.
Y-intercept:The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is the value of y when x = 0.
Set x = 0, and substitute into the given equation.
3x + 2y = 14
3(0) + 2y = 14
0 + 2y = 14
2y = 14
Divide both sides by 2 to solve for y:
[tex]\frac{2y}{2} = \frac{14}{2}[/tex]
y = 7
Therefore, the y-intercept is (0, 7), which matches Option B.
3) ) Each of the functions below model the monetary value of an item. Which is the only that has a growth factor showing the item is increasing in value?
Answer:
Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...
Step-by-step explanation:
Can anyone help me if you get it right i'll give 30!
[tex]LHS \\ = 8 + 7 - {2}^{2} \\ = 8 + 7 - 4 \\ = 15 - 4 \\ = 11[/tex]
[tex]RHS \\ = {3}^{2} + 2 \\ = 9 + 2 \\ 11[/tex]
So, LHS = RHS
Answer:=
Hope it helps.
Do comment if you have any query.
Answer:
Below!
Step-by-step explanation:
Let's try the 'equal' sign for this equation.
8 + 7 - 2² = 3² + 2Remember, when it comes to simplifying, exponents come first. This means that we need to simplify the exponents first.
=> 8 + 7 - (2 x 2) = 9 + 2=> 15 - 4 = 9 + 2=> 11 = 11Since the LHS and the RHS are equal, the 'equal' sign will fit into the equation. Hence, this is proven as true. Let's try the 'not equal' sign.
=> 8 + 7 - 2² ≠ 3² + 2=> 15 - 4 ≠ 9 + 2=> 11 ≠ 11Now, this is a definite false. The 'not equal' sign is used when two values are not equal to each other, however, in this situation, 11 does equal 11. In between them is a 'not equal' sign. Hence, this is proven false.
We can conclude that the sign you are looking for is an 'equal' sign.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Rachel and Amanda are planting tulip bulbs. Rachel has planted 45 bulbs and is planting at a rate of 33 bulbs per hour, Amanda is planting at a rate of 36 bulbs per hour and has planted 36 bulbs. How long will it take Rachel and Amanda to plant the same number of bulbs? How many bulbs will that be?
Answer:
3 hours
144 bulbs
Step-by-step explanation:
33t + 45 = 36t + 36
Subtract 33t from both sides
45 = 3t + 36
subtract 36 fromboth sides
9 = 3t
divideboth sides by 3
3 = t
3 hours
How many bulbs will that be?
33(3) + 45
99 + 45
144
A group of 6 friends rent a cabin on a campsite. It costs $62.88 to rent the cabin. if they divide the cost evenly between them, how much does each friend need to pay?
Lillian misses 10% of the free throws she attempts in a season. How many total free
throws did she attempt if she missed 51
help fast
Answer:
510
Step-by-step explanation:
10/100 = 51
10*10/100 = 51*10
100/100 = 510
U.
15. How many correct answers would be
needed to get a score of 85% on a math
test that has forty questions?
A. 32
B. 34
C. 36
D. None of the above
Answer:
34
Step-by-step explanation:
40 questions times 0.85 equals 34
Determine the relationship between The two triangles on whether or not they can be proven to be congruent
Answer:
ASA congruence
Step-by-step explanation:
here two angles and in between side are equal for these two triangles
Please help and give real answers it would be much appreciated
Answer:
x = 8, x = 10
Step-by-step explanation:
[tex]\sqrt{4x - 31}[/tex] = x - 7 ( square both sides )
4x - 31 = (x - 7)² ← expand using FOIL
4x - 31 = x² - 14x + 49 ( sub 4x - 31 from both sides )
0 = x² - 18x + 80 ← in standard form
0 = (x - 8)(x - 10) ← in factored form
Equate each factor to zero and solve for x
x - 8 = 0 ⇒ x = 8
x - 10 = 0 ⇒ x = 10
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 8
left side = [tex]\sqrt{4(8)-31 }[/tex] = [tex]\sqrt{32-31}[/tex] = [tex]\sqrt{1}[/tex] = 1
right side = 8 - 7 = 1
Then x = 8 is a solution
x = 10
left side = [tex]\sqrt{4(10)-31}[/tex] = [tex]\sqrt{40-31}[/tex] = [tex]\sqrt{9}[/tex] = 3
right side = 10 - 7 = 3
Then x = 10 is a solution
Cómo se mide la velocidad
Answer:
d wound be the only answer I think
A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.073t,
where
m(t)
is measured in grams. After how many days is there only 5 g remaining?
15 days
Step-by-step explanation:
The half-life equation is given as
[tex]m(t) = m(0)e^{-0.073t}[/tex] (1)
where m(0) is the initial mass of radioactive iodine at t = 0. To solve for the time t, let's put the exponential part on the left-hand side:
[tex]e^{-0.073t} = \dfrac{m(t)}{m(0)}[/tex]
Taking the natural logarithm of both sides to get
[tex]\ln{e^{-0.073t}} = \ln\left[\dfrac{m(t)}{m(0)}\right][/tex] (2)
Recall the following properties of logarithms:
[tex]\ln{A}^b = b\ln{A}[/tex]
[tex]\ln{e} = 1[/tex]
We can rewrite Eqn(2) as
[tex]-0.073t = \ln\left[\dfrac{m(t)}{m(0)}\right][/tex]
Solving for t, we get
[tex]t = -\dfrac{1}{0.073}\ln\left[\dfrac{m(t)}{m(0)}\right][/tex]
Since m(0) = 15 gm and m(t) = 5 gm, then the amount of time that elapses to reduce the mass down to 5 gm is
[tex]t = -\dfrac{1}{0.073}\ln\left(\dfrac{5\:\text{g}}{15\:\text{g}}\right)[/tex]
[tex]\:\:\:\:\:= 15\:\text{days}[/tex]
helpp pls
4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes ?
A
$130
B
$150
C
$145
D
$140
Answer:
D. 140
Step-by-step explanation:
4 / 80 = 20
20 * 7 = 140
therefore, 140 is the answer
Answer:
140
Step-by-step explanation:
Write the equation of the line parallel to the line and passing through the point.
y=x+5, (8, 1)
Answer:
y=2x+9
Step-by-step explanation:
I got y-2x+9 because if you add 8-1 that equals 7 and if u do 7-5 that equals 2 so y2x and then 7 Plus 2 equals 9 so it all adds up to Y=2x+9?.
2 short questions 20 POINTS
Step-by-step explanation:
13.
oh, come on !
you never had and solved the situation "one piece costs that much, how much will be 2 or 5 or 10 of them ?"
it is a simple multiplication.
and hence the answer B.
the first hint is already in the table with 1 pizza costing $5.25.
2 pizzas are then 2×$5.25, 3 pizzas 3×$5.25, ...
so, the cost c = number of pizzas × $5.25
or short
c = p×5.25 or 5.25p
14.
the domain is the interval or set of valid values for the input variable (x) of a function/relation.
and the range is the interval or set of valid values for the result variable (y) of a function/relation.
so, the domain is the set {-3, -1, 0, 1, 3}.
and the range is the set {-4, 0, 2, 4}.
In mathematics, a function is a binary relation between two intervals or sets that associates each element of the first interval/set (domain) to exactly one element of the second interval/set (range).
and that's what is done here.
it is a function.
each value of x is associated exactly with 1 result value of y.
a y value can be associated with more than one x value - no problem.
but no x value can have more than one associated y value - otherwise that would break the principle of a function.
(A) use the Pythagorean theorean to determine the length of the unknown side of the triangle
Answer:
a. = 36km
b. Perimeter = 108km
c. Area = 486km^2
Step-by-step explanation:
Pythagoras theorem
a^2 + b^2 = c^2
27^2 + b^2 = 45^2
b^2 = 45^2 - 27^2
b^2 = 1296
b = [tex]\sqrt{1296}[/tex]
b = 36km
Perimeter
a + b + c
27 + 36 + 45 = 108
Perimeter = 108km
Area = [tex]\frac{ab}{2}[/tex]
Area = [tex]\frac{27 * 36}{2}[/tex]
Area = [tex]\frac{972}{2}[/tex]
Area = 486km^2