Answer:
h(n) = - 5.3 [tex](-11)^{n-1}[/tex]
Step-by-step explanation:
This is a geometric sequence with explicit formula
h(n) = h(1) [tex](r)^{n-1}[/tex]
where h(1) is the first term and r the common ratio
Here h(1) = - 5.3 and r = - 11 , then
h(n) = - 5.3 [tex](-11)^{n-1}[/tex]
9/5C + 32 =59
I'm stuck on how to do this .. please help
Answer:
C= 15
Step-by-step explanation:
[tex] \frac{9}{5} C + 32 = 59 [/tex]
subtracting 32 from both sides
[tex] \frac{9}{5}C = 59 -32 [/tex]
[tex] \frac{9}{5} C = 27[/tex]
Dividing both sides by 9/ 5
[tex]C = 27 \times \frac{5}{9} [/tex]
[tex]C = 3 \times 5[/tex]
[tex]C = 15[/tex]
Apply the distributive property to factor out 5x.
(5x · x2) + (5x · 3x) − (5x · 7) =
Answer:
5x^3+15x^2-35x
Step-by-step explanation:
Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!
If you were asked to equate the sides of an equation, how would you do that
Answer:
you would divide an equation from the multiple and then you would simplify the equation for an answer
A(-1,-5), B(5,-2) and C(1, 1).
ABCD is a trapezium.
AB is parallel to DC and angle BAD is 90°.
Find the coordinates of D.
Answer:
D(-3, -1)
Step-by-step explanation:
The given coordinates are;
A(-1, -5), B(5, -2) and (1, 1)
The coordinates and the coordinates of the point D form a trapezium
The parallel sides of the trapezium ABCD = AB and DC
The angle ∠BAD = 90°
The coordinates of the point D = Required
Let (x, y) represent the x and y-coordinates of the point D, by the given information, we get;
The slope of the line DC = The slope of the line AB
The slope of AB = (-2 - (-5))/(5 - (-1)) = 3/6 = 1/2
∴ The slope of CD, m = 1/2
From the point C(1, 1),the equation of the line CD is therefore;
y - 1 = (1/2)·(x - 1)
∴ y = x/2 - (1/2) + 1 = x/2 + 1/2
y = x/2 + 1/2
Given that ∠BAD is 90°, therefore, AD is perpendicular to DC and we have;
The slope of AD = -1/m
∴ The slope of AD = -1/(1/2) = -2
From the point A(-1, -5), the equation of the line AD is therefore;
y - (-5) = -2·(x - (-1))
y = -2·x - 2 - 5 = -2·x - 7
y = -2·x - 7
Equating both (simultaneous) values of y to find the value of x gives;
y = y, therefore;
x/2 + 1/2 = -2·x - 7
x/2 + 2·x = 5·x/2 = -7 - (1/2) = -15/2
∴ 5·x/2 = -15/2
x = (-15/2) × (2/5) = -3
x = -3
From y = -2·x - 7, and x = -3, we get;
y = -2 × (-3) - 7 = 6 - 7 = -1
The coordinates of the point D(x, y) = (-3, -1).
I need the answer ASAP anyone could help me please
Answer:
Is it the answer is C?
2+4+3+5+1=15
Write the equation of 2 lines passing through the point (2, 14).
Answer:
Since, the given solution is (2, 14). Therefore, 7x−y=0. Similarly, another equation can be−x+y=−2+14=12. Similarly, another equation can be−2x−y=−2(2)−14=18.
Help me?
185/100 + 50% + 4%=?
Answer:
2.39
Step-by-step explanation:
Convert everything to a decimal.
To do that with a fraction divide the numerator by the denominator.
185 divided by 100 = 1.85
185/100 = 1.85
To convert a percent to a decimal divide the number by 100.
50 divided by 100 = 0.5
50/100 = 0.5
4 divided by 100 = 0.04
4/100 = 0.04
Now add:
1.85 + 0.5 + 0.04 = 2.39
A farmer in China discovers a mammal
hide that contains 71% of its original
amount of C-14.
N = Noekt
No = inital amount of C-14 (at time
t = 0)
N = amount of C-14 at time t
k = 0.0001
t = time, in years
Answer:
Step-by-step explanation:
I'm assuming you're looking for the age of the mammal hide, since there's no question here, but there's also nothing else to solve for. Remember a few things before we move on. First, if we are not told the initial amount with which we start, we have to assume that it's 100%. Second, remember that natural log and e are inverses of each other so they eliminate each other in application. Now to set up the problem. It looks like this:
[tex]71=100e^{-.0001t}[/tex] and begin by dividing both sides by 100 to get
[tex].71=e^{-.0001t}[/tex] and take the natural log of both sides. The other important thing to remember about the rules for logs and natural logs is that when you take the natural log of something, you are "allowed" to move the exponent down out front, which is why we do this. We cannot currently solve for t when it's stuck up there where it is right now. Taking the natural log allows us to bring that exponent down AND eliminate both the natural log and the e at the same time:
ln(.71) = -.0001t and we divide to solve for t:
[tex]\frac{ln(.71)}{-.0001}=t[/tex] and
[tex]\frac{-.3424903089}{-.0001}=t[/tex] so
t = 3424.9 years, or rounded, 3425 years.
Please help me, I’m begging you
Answer:
A. 5
Step-by-step explanation:
PQ + QR + RS = PS
2x - 6 + 1 + x - 4 = 18
3x - 9 = 18
3x = 27
x = 9
RS = x - 4
RS = 9 - 4
RS = 5
What is the decimal equivalent of
9
22
?
If a = 7, what is the value of the expression 2(a + 8)?
Answer:
[tex]2(a + 8) \\ if \: a = 7 \\ 2 \times (7 + 8) \\ 2 \times 15 \\ = 30 \\ [/tex]
please mark as brainliest
Which number line shows the solution to −4 − (−1)?
A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to 4 is shown. Above this, another arrow pointing from 4 to 5 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to 4 is shown. Above this, another arrow pointing from 4 to 3 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 4 is shown. Above this, another arrow pointing from negative 4 to negative 5 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 4 is shown. Above this, another arrow pointing from negative 4 to negative 3 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
Answer:
number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 4 is shown. Above this, another arrow pointing from negative 4 to negative 3 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow
Round the $40435.29 to the nearest thousand dollar
Answer:
$40000
Step-by-step explanation:
The nearest thousand dollar is rounding the thousand value from its hundred value, which in this case is 4. Since 4 is less than half of 10, the thousand value must round down to $40000.
Answer:
$40000.00
Step-by-step explanation:
Report this answer if its incorrect ^_^
please answer asap and dont get it wrong T0T
Step-by-step explanation:
answer what ?
all we can see is a grid of coordinates with a functional graph drawn into it.
and we know this function is called y=h(x).
that is it.
what answer is needed ? there is no question visible.
A student drops their notes and their papers scatter. The fact that the papers scatter and do not remain neatly stacked is an illustration of :
Answer:
-- increase in entropy
-- second law of thermodynamics
Step-by-step explanation:
The 1st law of thermodynamic states that there is conservation of energy, i.e. we cannot create energy and we cannot destroy energy also in an isolated system.
The given example is not a representative of the 1st law.
The [tex]\text{2nd law of thermodynamics}[/tex] states that there is a natural tendency of an isolated system to [tex]\text{degenerate}[/tex] into a more [tex]\text{disordered state.}[/tex] Before dropping the notes and papers were in an isolated ordered system.
After dropping the papers scattered and did not remain in a stack position. It moves into a more disordered state.
Begore dropping down the notes and papers, they were in a stable position, i.e. no kinetic energy is there. No randomness when the notes and the papers were dropped. There is an increase in kinetic energy. There is randomness among the molecules by bombardment. So there is an increase in entropy.
Thus, above illustrations represents :
an increase in entropythe second law of thermodynamicsGiven y = f(u) and u=g(x), find =f(g(x))g'(x) for the following functions.
dx
y = cos u, u = 4x - 3
dy
dx = f'(g(x))g'(x) = 0
Answer:
-4sin(4x-3)
Step-by-step explanation:
Given y = cos u, u = 4x - 3
dy/dx = dy/du * du/dx
dy/du = -sinu
du/dx = 4
dy/dx = -4sinu
since u = 4x - 3
dy/dx = -4sin(4x-3)
find the area of the triangle
Which represents the inverse of the function f(x) = 4x?
O h(x) = x + 4
Oh(x) = x -4
O h(x) = x
O h(x) = x
Answer:
[tex] \frac{1}{4}x[/tex]
Step-by-step explanation:
take the reciprocal of 4 which is 1/4
Given the net of the rectangular prism, what is its surface area?
Answer:
D. 160
Step-by-step explanation:
A system of equations and its solution are given below.
System A
5x-y=-11
3x-2y=-8
solution: (-2,1)
To get system B below, the second equation in system A was replaced by the sum of that equation and the first equation in system A multiplied by -2.
System B
5x-y=-11
?
A.
The second equation in system B is -7x = 14. The solution to system B will not be the same as the solution to system A.
B.
The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.
C.
The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.
D.
The second equation in system B is 7x = 30. The solution to system B will not be the same as the solution to system A.
Multiple choice question
Answer:
A. 35 square centimeters
Step-by-step explanation:
The area of a triangle is (b*h)/2.
7 * 10 = 70
70/2 = 35
The perimeter of a rectangular swimming pool is 154 meters. Its length is 2m more than twice its breadth. What are the length and the breadth of the pool?
Step-by-step explanation:
Hey there!
According to the question;
Perimeter of rectangle (p) = 154 m
Let the breadth of rectangle be "X" then length will be 2x+2.
Then;
Perimeter (p) = 2(l+b)
154 = 2((2x+2) + x)
154 = 2(3x+2)
154 = 6x + 4
or, 6x = 154-4
or, X = 150/6
Therefore, X= 25.
Hence;
Length = 2*25+2 = 52 m
Breadth = 25 m
Hope it helps!
We can assume,
Perimeter of rectangle = 154 m
Breadth = x
Length = 2x + 2
Now, perimeter = 2(l+b)
[tex] \sf \to 154= 2((2x+2) + x)[/tex]
[tex] \sf \to 154 = 2(3x+2)[/tex]
[tex] \sf \to 6x = 154-4[/tex]
[tex] \sf \to x = \frac{150}{6} = 25[/tex]
Then,
Breadth = 25 m
Length [tex] \sf = 2x + 2[/tex]
[tex] \sf \to (2 \times 25) + 2[/tex]
[tex] \sf \to 52 \: m[/tex]
Which of the following is TRUE * 1 point
(+6) x (-4) = -10
(+32) ÷ (˗8) = +4
(-5) - (-11) = + 6
(-7) + (+9) = -16
2p -5q=8.. 3p-7q=11 use substitution
Answer:
p = -1 q = -2
Step-by-step explanation:
3p - 7q = 11 -7q = -3p + 11 q = 3/7p - 11/7
2p - 5(3/7p - 11/7) = 8
2p - 15/7p + 55/7 = 8
-1/7p + 55/7 = 8
-1/7p = 1/7
p = -1
2(-1) - 5q = 8
-2 - 5q = 8
-5q = 10
q = -2
Triangle PQR has been dilated to form triangle P'Q'R'. What is the least amount of information needed to determine if the two triangles are similar
Answer:
angles Q and Q' are congruent, angles R and R' are congruent
Step-by-step explanation:
For two triangles to be congruent, we need to show is two of the
1. corresponding angles are congruent,
or,
2. all three pairs of corresponding sides are proportional,
or,
3. two pairs of corresponding sides are proportional AND the included angles are congruent.
And, angles are always congruent when a figure is dilated
Therefore, angles Q and Q' are congruent, angles R and R' are congruent(satisfies the first criterion that at least two corresponding angles are congruent)
Which compound inequality is equivalent to | ax -b | > C for all real numbers a, b, and c, where c>0?
Hello,
Answer D
ax-b < -c or ax-b >c
If ax-b >0 then |ax-b| = ax-b ==> ax-b > c
if ax-b <0 then |ax-b|=-(ax-b) > c ==> ax-b <-c
The equivalent compoud inequality is (d) ax - b > c or ax - b < -c
How to determine the compound inequality?The absolute value expression is given as:
| ax -b | > c
Given that c > 0, then it means that:
| ax -b | > 0
So, we have the following inequalities from | ax -b | > c
ax - b > cax - b < -cHence, the equivalent compoud inequality is (d) ax - b > c or ax - b < -c
Read more about compoud inequality at:
https://brainly.com/question/24544713
HELP ME PLEASEEEEEE. !!!
Answer:
107,100
Step-by-step explanation:
[tex]h(t) = 9 {t}^{2} + 900t \\ \\ plug \: t = 70 \\ \\ h(70) = 9 {(70)}^{2} + 900(70) \\ = 9 \times 4900 + 63000 \\ = 44100 + 63000 \\ = 107,100 \: cm[/tex]
Pls answer this pls pls
1) 520
2)60
3)2600
4)3760
Answer:
1. 520
2. 60
3. 2600
4. 3760
Step-by-step explanation:
[tex]{hope it helps}}[/tex]
Determine whether the sequence is arithmetic or geometric. Sequence 1: –10, 20, – 40, 80, ... Sequence 2: 15, – 5, – 25, – 45, ... Which of the following statements are true regarding Sequence 1 and Sequence 2.
Answer:
Step-by-step explanation:
1,
-10,20,-40,80,...
common ratio=20/-10=-2
it is a geometric sequence.
2.
15,-5,-25,-45
common difference=-5-15=-20
it is an arithmetic sequence.
A man is 40 years old and his son is 5years old. In how many years will the father be 3 times the age of his son.
12 1/2 years
Step-by-step explanation:
Let the unknown be n. Then 40+n = 3(5+n).
Performing the multiplication:
40+n = 15+3n
Isolate n and combine the constant terms:
25=2n, so n= 25/2 years