Answer:
[tex]a_4 = -108[/tex]
Step-by-step explanation:
Given
[tex]a_n = -3a_{n-1}[/tex]
[tex]a_1 = 4[/tex]
Required
Find [tex]a_4[/tex]
[tex]a_4 = -3a_{4-1}[/tex]
[tex]a_4 = -3a_3[/tex]
We calculate for a3
[tex]a_3 = -3a_{3-1}[/tex]
[tex]a_3 = -3a_2[/tex]
Calculate for a2
[tex]a_2 = -3a_{2-1[/tex]
[tex]a_2 = -3a_1[/tex]
Substitute 4 for a1
[tex]a_2 = -3*4[/tex]
[tex]a_2 = -12[/tex]
Substitute -12 for a2 in [tex]a_3 = -3a_2[/tex]
[tex]a_3 = -3 * -12[/tex]
[tex]a_3 = 36[/tex]
Substitute 36 for a3 in [tex]a_4 = -3a_3[/tex]
[tex]a_4 = -3*36[/tex]
[tex]a_4 = -108[/tex]
What is the measure for angle z?
Answer:
there's no angle z theres only x but the answer for x is 133
Step-by-step explanation:
Please help, I will give brainliest, I am struggling badly.
Answer:
Step-by-step explanation:
Answer:
im pretty sure the answer is "infinite solutions" hope this helps
Find the trigonometric ratios for sin C, cos C, tan C.
how many hours in five days
Answer:
There are 120 hours in 5 days.
Answer:
5 days = 120 hours
Step-by-step explanation:
One day = 24 hours
5 days = 24*5 hours = 120 hours
It mostly just plain unitery method
20.25 is what percent of 16?
Answer:
126.5625
Step-by-step explanation:
An easy way to solve is to use the rule of three
20.25 x
=
16 100%
-> (20.25 x 100) : 16 = x
-> 2025:16= 126.5625
I hope this helps :0)
estimate each product 1/3 x 28
Answer:
28/3 approximated to 9 1/3
Step-by-step explanation:
multiply the fractions and estimate it to it's alternativve form
Leo has 2 5/8 ounces of sunblock.
He uses one third of an ounce at
the beach. How much does he
have left?
Answer:
2 7/24
Step-by-step explanation:
Answer:
Step-by-step explanation: 6
Which two statements gives good definition of financial credit
Answer:
I dont see anything
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLEST.
Answer:
it would be 6*7=42 plus (13-7)*(6-3)/2 which equals 9, so 42+9=51
will mark brainliest need answer asap first person to answer gets brainliest
Answer:
A= [tex]4x+8[/tex]
B= [tex]8x+6x \\or\\ 16x[/tex]
C= [tex]8x+12[/tex]
D= [tex]6x+6y+6z[/tex]
Step-by-step explanation:
Distributing, or the means to divide something/create a share or part of something is when we multiply the sum of two or more addends by a number to achieve the same result as multiplying each addend individually by the number then adding the products together.
With this said, part A would look like this:
[tex]4(x+2)\\4(x) + 4(2) = ?\\4x + 8[/tex]
Now, the problem doesn't specifically state to solve the problem, but if you wanted too it would look like this:
[tex]4x + 8=0\\-8 \\4x=-8\\divide 4\\4=GCF\\x=-2[/tex]
Since we are just looking for the equation, the following problems would appear as so:
B:
[tex](6+8)*x\\x(8) + x(6)\\8x+6x\\14x[/tex]
C:
[tex]4(2x+3)\\4(2x)+4(3)\\8x+12[/tex]
D:
[tex]6(x+y+z)\\6(x) +6(y)+6(z)\\6x+6y+6z[/tex]
Another way to view the distributive property is that your distributing the number outside the parenthesis to all the number inside as such.
I would be happy to help you again in the future and hope that this provided you with some clarification! Have a nice day! :D
The length of a rectangle is (4x - 2). The width of the
rectangle is (x² + 6x + 4). Which expression represents
the perimeter of the rectangle?
Step-by-step explanation:
all the explanation is in the photo
Question 8 Multiple Choice Worth 1 points)
(05.01 MC)
If the sin 90° is 1, then the cos
O 90°:
O 0°;
V2
2
O 90°:
V3
2
O 0°: 1
Answer:
cos 0=90 degrees
Step-by-step explanation:
If sin of 90 is 1 then cos 90 is 0. Since sin and cos are like complementary angles they angles add up to 90 degrees.
[tex] \sin(90) = \cos(0) [/tex]
and since sin 90 equal 1 cos of 0 equal 1.
What if we switch angles
Well they are still equal
[tex] \sin(0) = \cos(90) [/tex]
But this time sin of 0 is 0 and cos 90 is 0.
If the function sin 90° is 1, then the cos90° value is zero.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that sin 90° is 1
We need to find the cos 90°.
We know that the function sine is Opposite side/ hypotenuse
cosine is Adjacent side/ hypotenuse.
sine is reciprocal of cosec
Sine = 1/ cosec
cosine = 1/ sec
The value of cos90 is zero.
Hence, If the sin 90° is 1, then the cos90° value is zero.
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4(b - 4) ; b = 5
pls help
Answer:
The answers is 4
Step-by-step explanation:
Replace The variable b with 5 in the expression.
4( ( 5 ) - 4)
Subtract 4 from 5
4 - 1
And lastly multiply 4 by 1
I really hope this helps I am if I missed something please let me know but yeah I hope this helps you very much
What is an equation of the line that passes through points (-2, -3) and (-1, 2)
PLEASE I NEED HELP SOMEBODY!
What is the decimal value of ⅖. Use factors of 2 and 5 to convert fraction into decimal. :
What is the decimal value of 5/25. Use Equivalent Fractions to convert fraction into decimal. :
Answer:
0.4 and 0.2.
Step-by-step explanation:
For the first problem, you divide 5 by 2.
[tex]\frac{2}{5} = 0.4.[/tex]
This gives you 0.4
For the second problem, we simplify the fraction, first.
[tex]\frac{5}{25} = \frac{1}{5} .[/tex]
Then, we divide 1 by 5.
[tex]\frac{1}{5} = 0.2.[/tex]
This gives you 0.2.
Which number is equivalent to 3^(4)÷3^(2)
Answer:
9
Step-by-step explanation:
3^(4)÷3^(2)=9
Change x+2y=-6 into y=mx+b form
Answer:
y = -3 - x/2
Step-by-step explanation:
x + 2y = -6
You have to isolate y by minusing x on both sides
2y = -6 - x
Then you will isolate y by dividing both sides by 2
y = -3 - x/2
Solve step by step:
n + 8 = -10
Answer:
n=-18
Step-by-step explanation:
subtract 8 from both sides.
then you do -10 subtracted by 8 and thats -18.
A baseball and a bat cost 110 dollars. If the bat costs 100 more dollars than the ball, is much does the ball cost
Answer:
$10
Step-by-step explanation:
So the total amount of money needed is $110
And the bat is $100 more than the ball
So basically subtract $100 from $110
And you get $10 So the answer is $10
During summer vacation Amanda ran a lemonade stand she bought a total of 65 lemons each bottle of lemonade need six lemons how many full batches can she make
Answer:10
Step-by-step explanation:
3x+8=14,X=2 write in inverse statement?
Answer:
Statement is - 3x + 8 = 14, x = 2
Let P - 3x + 8 = 14 , Q - x = 2
Conditional statement is -If 3x + 8 = 14 , then x = 2.
Inverse Statement is - If 3x + 8 ≠ 14 , then x ≠ 2.
Converse statement - If x = 2 , then 3x + 8 = 14
Contra-positive statement - If x ≠ 2 , then 3x + 8 ≠ 14
o
2
|(2, 2)
1
-3 -2 -1
1 2 3 x
-3
+(-2,-4)
What is the slope of the given line?
What could you divide and then multiply by to go from the first number to the second?
{First number: } 99 {Second number:) 143
Step-by-step explanation:
To get 1 , divide 99 by 99. From 1, multiply by 143 to get 143
or
in a single step, multiply 99 by 1/99 to get to 143
Hope it will help :)
Question 6 (1 point)
Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to
the Sun. In the image, d represents the distance from a star to the Sun. Using a technique called "stellar parallax,"
astronomers determined is 0.00001389 degrees. How far away is the star from the Sun in astronomical units? Show your
reasoning
NOT TO SCALE
Sun
d
star
0
1
Earth
I
Answer:4124966.126
Step-by-step explanation:
Distance between star from the sun is d = 4124966.128 AU
What is Trigonometry?
Trigonometry is the branch of mathematics that deals with particular angles functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle.
The astronomical unit distance between the star and the Sun can be calculated using the trigonometric function.
As per the given data:
distance from Earth to the Sun (P) = 1 AU
θ = 0.00001389 degrees
From tanθ:
tanθ = P/B
{P = perpendicular and B = base}
From the diagram:
tanθ = 1/d
tan(0.00001389) = 1/d
d = 1/tan(0.00001389)
d = 4124966.128 AU
The separation between the sun and the star is d = 4124966.128 AU.
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Help me out mathematics
Answer:
a its a
Step-by-step explanation:
Look at the question
Answer:
Step-by-step explanation:
The better buy is the one where you get more area of pizza per dollar (area/price).
Since the problem gives diameter, we assume the pizzas are circle-shaped.
Circle Area = pi x (radius)², and radius r = 1/2 of diameter d.
*************************************************************************************
Pizza 1: d = 8 and price is $10
r = 1/2 x d = 4
Area of Pizza 1 = πr² = π(4)² = 16π
*** area/price for Pizza 1 = 16π/$10 = 1.6π area per dollar
**********************************************************************************
Pizza 2: d = 14 and price is $16
r = 1/2 x d = 7
Area of Pizza 2 = πr² = π(7)² = 49π
*** area/price for Pizza 2 = 49π/16 = 3.0625π area per dollar
***********************************************************************************
Pizza 2 is the better buy, with more pizza per dollar.
3.75 : 1.25 is equivalent to 375 · 125.
The dividend and divisor were both multiplied by
Answer:
100
Step-by-step explanation:
If you multiply 3.75 by 100 you get 375
Hey can someone help?
What is the solution to the equation
3
x
+
2
+
5
x
=
16
?
Answer:
x= 7/4
(in decimal form) x= 1.75
7(x + 4y)
7x+28y=35xy
A chess club with 60 members is electing a new president. Christine received 21 votes. What percentage of the club members
voted for Christine?
Answer:
35
Step-by-step explanation:
[tex]\frac{21}{60}[/tex] x 100% = 35