Answer:
Step-by-step explanation:
This is a geometric sequence. The general formula for any term is
t_n = a*r^(n-1)
t1 = 3
r = 3
t_n = 3* 3^(n - 1)
t_4 should be 81
t_4 = 3*3^(n - 1)
t_4 = 3*3^3
t_4 = 3 * 27
t_4 = 81
Answer:
an = 3 * (3)^ (n-1) or
an = 3^n
Step-by-step explanation:
To find the common ratio, take the second term and divide by the first term
9/3 = 3
To verify take the third term and divide by the second
27/9 =3
Since this is a geometric sequence, it is of the form
an = a1*r^(n-1) where a1 is the first term and r is the common ration
an = 3 * (3)^ (n-1)
Since the first term is the same as the term inside the parentheses, we can combine
an = 3^1 * 3 ^ (n-1)
= 3^ (1+n-1)
= 3^ (n)
Number 14 step by step pleasee
Answer:
C 3/14
Step-by-step explanation:
There are a total of 8 checkers
P (black) = black/total
= 2/8 = 1/4
Then we keep the checker, so there are only 7 checkers in the bag, 6 red and 1 black
P ( red) = red/total
= 6/7
P (black, red) = 1/4 * 6/7
= 6/28 = 3/14
4 square meters equals how many square yards? What is the formula to get this answer?
Answer:
4.7840 square yards
Step-by-step explanation:
1 square meters equals 1.19599 square yards.
This is the formula for area conversion from square meters to yards and vice versa.
We are required to determine how many square yards are in 4 square meters.
Using the above conversion we have;
1 square meters = 1.19599 square yards
4 square meters = ?
We simply cross multiply;
4*1.19599 square yards = 4.7840 square yards
How can I change whole number 4 into fraction?
Convert the whole number 4 into a fraction using 4 as the denominator:
4/1 × 4/4 = 16/4
Hope this helps :D
Answer:ignore sorry
Step-by-step explanation:
find the common difference in the outputs to help find the missing outputs in the table
the commons difference is .8
the missing values are: 6.2 and 7
What is the area of this triangle?
help pls im failing haha
Answer:
d o the formula Ltimes W divided by 2
Step-by-step explanation:
Answer:
Area of triangle = 44.104 cm²
Step-by-step explanation:
Formula:-
Area of triangle = bh/2
where b - Base and h - Height
To find the height of triangle
Let h be the height of triangle then we can write,
Sin 63 = h/11
h = 11 * sin 63 = 11 * 0.891 = 9.801 cm
To find the area of triangle
Area = bh/2
= (9 * 9.801)/2 = 44.104 cm²
Straws are shipped into a box with dimensions of 6.0x6.0x8.0 inches. Each straw is 3/8 inches wide and 7 and 3/4 inches long. How many straws could be shipped into a box without squeezing any straws?
Answer:
256
Step-by-step explanation:
First, let's see the height of the box (8 inches) is long enough for one straw (7 inches and 3/4) but not enough for 2... so there could be only one layer.
Now the box is a prism with a square base (6 inches each side).
How many straws can we fit on one side? We have to divide the width of the box by the width of a straw.
[tex]row = \frac{6}{3/8} = \frac{48}{3} = 16[/tex]
We can fit 16 straw per 6-side side of the box... Since the box is 6x6 inches, we can then fit 16 x 16 straws in it... 256 total.
Answer:
256
Step-by-step explanation:
Write the given equation in exponential form.
log7 = 3
For this case we have that by definition of logarithmic properties that, the expression
[tex]log_ {b} (a) = c[/tex] is equivalent to:
[tex]b ^ c = a[/tex]
Then, we have the following expression:
[tex]log_ {7} () = - 3[/tex]
It can be equivalent to:
[tex]7 ^ {- 3} =[/tex]
Answer:
The correct option is option A
[tex]7 ^ {-3}[/tex]
Which circle has the SMALLEST percent shaded blue?
A)
B)
C)
D)
Answer:
The answer is B.
Step-by-step explanation:
If you look at all four circles, you can clearly tell that B has the least amount of blue shaded in.
Which expressions are equivalent?
3x + 5x and 8x
3(x + 4) and 3x + 12
a + b + a and 2a + b
18x + 2y and 15x + 3x + 2x
3a + 4a + 10 and 17a
The equivalent expressions are
3x + 5x and 8x
3(x + 4) and 3x + 12
a + b + a and 2a + b
What are equivalent expressions?
Equaivelnt expressions are expressions that the terms are equal. That is to say rearranging the terms will result to the term to be compared with it.
In this case the expressions are said to be equaivalent
Examining the expressions we can see that
3x + 5x = 8x
3(x + 4) = 3x + 12
a + b + a = 2a + b
Please help ASAP!!!!!
Answer:
2.02
Step-by-step explanation:
2.02
PLEASE HELP!!! WORTH 100 POINTS !!
What is the value of y and x?? Solve the answer and show a step by step solution!
Answer:
X - 90 degrees
Y - 43 degrees
Step-by-step explanation: When you fold over the triangle to reflect you get 47 degrees as angle C. Then, because X is a perfect right angle it is 90 degrees. Then you add 47 and 90 and get 137, then subtract that from 180 because all the angles within a triangle should eqaul up to 180 degrees.
what’s the probability of a C or a Z
Answer:
Zero
Step-by-step explanation:
A letter C or Z is not in the word Bulldog.
Karina is showing her steps to solve the expression −26.7 ÷ 1/3
In which step did Karina make an error?
Step 1: −26.7 ÷1/3
Step 2: −26.7 ⋅ −3
Step 3: 80.1
Step 2: -26.7 · -3
When you divide with a fraction, it's helpful to multiple by the reciprocal of the fraction .
This step instead multiplied by the negative reciprocal .
Therefore, the correct answer would be -80.1 instead of 80.1
The error was made in step 2.
.
What is the perimeter of the shape?
44 inches
66 inches
121 inches
132 inches
Answer:
39
Step-by-step explanation:
11+11+6+6+5=39
ANSWER
44 inches
EXPLANATION
The perimeter is the distance around the figure.
The unknown vertical height of the shape is 11-6=5 in.
The unknown horizontal width of the shape is 11-6=5 in.
Adding all the distance gives the perimeter.
The perimeter is
[tex]11 + 6 + 5 + 5 + 6 + 11 = 44in.[/tex]
Therefore the perimeter of the shape is 44 inches.
write the factors of the quadratic equation: x^2 -4x-21=0
Answer:
(x - 7)(x + 3) = 0
Step-by-step explanation:
To factorise the quadratic
Consider the factors of the constant term (- 21) which sum to give the coefficient of the x- term (- 4)
The factors are - 7 and + 3, since
- 7 × 3 = - 21 and - 7 + 3 = - 4, thus
(x - 7)(x + 3) = 0 ← in factored form
Oliva can type 5/12 of a page in 15 minutes. If she types at the same rate how many pages will she have typed in one hour
Answer:
Olivia will have 1 2/3 pages typed in an hour.
Step-by-step explanation:
Olivia can type 5/12 of a page in 15 minutes. 15 minutes is a fourth of an hour, so to find out how many pages she will have written in an hour you can multiply 5/12 X 4. 5/12 X 4 equals 1 8/12, which can be simplified as 1 2/3.
Hope this helped you :)
HELP!!!!!!!!!!!!!! When i go to search a question and i click on it it signs me out of brainly
The ratio of football players to soccer players in the room was 5 to 7. If the football and soccer players in the room totaled 48, how many where football players?
Answer:
There are 20 football players
Please help.
Bus leaves at
5 minutes past the hour
15 minutes past the hour
25 minutes past the hour
35 minutes past the hour
What are the missing bus times?
Are these correct?
45 minutes past the hour
55 minutes past the hour
80 minutes past the hour
Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance between points A and B is 264 miles. What is the speeds of the cars, if one of the cars travels 14 mph faster than the other?
PLEASE ANSWER THANKS 20 POINTS
The answers are:
[tex]FirstCarSpeed=41mph\\SecondCarSpeed=55mph[/tex]
Why?To calculate the speed of the cars, we need to write two equations in order to create a relation between the two speeds and be able to calculate one in function of the other.
So, let be the first car speed "x" and the second car speed "y", writing the equations we have:
For the first car:
[tex]x_{FirstCar}=x_o+v*t[/tex]
For the second car:
We know that the speed of the second car travels 14 mph faster than the first car, so:
[tex]x_{SecondCar}=x_o+(v+14mph)*t[/tex]
Now, we already know that both cars met after 2 hours and 45 minutes, and the distance between A and B is 264 miles, so, we can calculate the relative speed between both carsby the following way:
If the cars are moving towards each other the relative speed will be:
[tex]RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph[/tex]
So , since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we have:
[tex]2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours[/tex]
Writing the equation:
[tex]264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph[/tex]
We have, the speed of the first car is equal to 41 mph.
Now, for the second car we have that:
[tex]SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph[/tex]
So, the speed of the second car is equal to 55 mph.
Hence, the answers are:
[tex]FirstCarSpeed=41mph\\SecondCarSpeed=55mph[/tex]
Have a nice day!
Compute the volume of the right square pyramid shown.
A.147 cubic units
B.241 cubic units
C.441 cubic units
D.447 cubic units
Answer:
A. 147 cubic units
Step-by-step explanation:
The area of the square base is ...
B = (7 units)² = 49 units²
The volume is given by the formula ...
V = (1/3)Bh = (1/3)(49 units²)(9 units) = 147 units³
what is the domain of the given function?
{(3,-2), (6,1), (-1,4), (5,9), (-4,0)}
Answer:
-4, -1, 3, 5, 6
Step-by-step explanation:
Answer:
-4, -1, 3, 5, 6
Step-by-step explanation:
The domain is always on the left side. That was the trick I learned to remember. When you plot the numbers you would have them lined as X,Y. X,Y is equal to Domain, Range. I hope this helps!
PLZ HURRY WILL MARK BRAINLIEST
Jerry solved the system of equations.
x - 3y = 1
7x + 2y = 7
As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement?
The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7.
The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2.
The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number.
The most efficient way is the 1st option
because all you have to do is add -3y on both sides to isolate x
If you used any other variables, you would have to use division which are extra steps
Answer:
Hence, the correct option is A) The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
Step-by-step explanation:
Consider the provided system of equation.
x - 3y = 1 and 7x + 2y = 7
Let first solve the second equation.
[tex]7x + 2y = 7[/tex]
Step 1:
Divide both the sides by 7.
[tex]x + \frac{2y}{7} = 1[/tex]
Step 2:
[tex]x = 1- \frac{2y}{7} [/tex]
It took 2 steps to isolate the the variable x.
Now again consider the system of equation.
But this time we will solve the first equation.
[tex]x - 3y = 1[/tex]
Step 1:
[tex]x = 1 + 3y[/tex]
it took only 1 step to isolate the variable as the variable x in the first equation has a coefficient of one.
Hence, the correct option is A) The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
Which Of the following functions will not have an axis of symmetry x=-1 when graphed
Answer:
The correct choice is A.
Step-by-step explanation:
The axis of symmetry of the function is given by
[tex]x=-\frac{b}{2a}[/tex]
If the axis of symmetry is -1 then the relation between the 'a' and 'b' value for all the function that has an axis of symmetry to be -1, is
[tex]b=2a[/tex]
A. [tex]y=4x^2-8x+1[/tex]
We can see that
[tex]-8\ne 2(4)[/tex]
hence this function does not have an AOS of x=-1
The correct choice is A.
B. [tex]y=x^2+2x-6[/tex]
[tex]2\ne 2(1)[/tex], hence this function has an axis of symmetry of x=-1.
C. [tex]y=3x^2+6x[/tex]
[tex]6=2(3)[/tex]
This also has AOS x=-1
D. [tex]y=-x^2-2x+3[/tex]
[tex]-2=2(-1)[/tex]
AOS is x=-1
Help ????? Pleasseee?
Answer:
C
Step-by-step explanation:
There is a right triangle formed by the slant height, h and the radius
Use Pythagoras' theorem to solve for h
With radius = 8 ft ( half the diameter ) , slant height is hypotenuse
h² = 17² - 8² = 289 - 64 = 225
Take the square root of both sides
h = [tex]\sqrt{225}[/tex] = 15 → C
Find the dot product between the vectors u and v: u=2i+3j and v=-6i-5j
[tex]\bf \stackrel{\textit{dot product}}{<a,b>\cdot <c,d>}\implies (a\cdot c)+(b\cdot d) \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} u=&2i+3j\\ v=&-6i-5j \end{cases}\implies \begin{cases} <2,3>\\ <-6,-5> \end{cases} \\\\\\ <2,3>\cdot <-6,-5>\implies (2\cdot -6)+(3\cdot -5)\implies -27[/tex]
in a game of chance players spin the pointer of a spinner with eight equal sized sections what is the probability that the pointer will land in an odd number section
Answer:
3/4
Step-by-step explanation:
Number of sections = 8
Number of sections with numbers that are odd = 6
P(odd number)
= 6/8
= 3/4
find x and y for a triangle with 60° and 30
Answer:
90 degrees
Step-by-step explanation:
FIGURE IT OUT
x=15 and y=25.98 or 26
Use the parabola tool to graph the quadratic function f(x)=(x-5)^2+1
Answer:
Look to the attached graph
Step-by-step explanation:
* Lets revise how to graph the quadratic function
- Find the vertex of it
- Find the y-intercept
- Find the x-intercept
∵ f(x) = (x - 5)² + 1 ⇒ the completing square form
- The completing square form for any quadratic is
( x - h)² + k, where h and k are the coordinate of the vertex point
* Lets compare the two forms
∵ (x - h)² + k = (x - 5)² + 1
∴ h = 5 and k = 1
∴ The vertex of the parabola is (5 , 1)
- To find the x-intercept put f(x) = 0
∵ (x - 5)² + 1 = 0 ⇒ subtract 1 from both sides
∴ (x - 5)² = -1 ⇒ the square can not give -ve number
∴ The parabola does not intersect the x-axis
- To find the y-intercept put x = 0
∵ f(0) = (0 - 5)² + 1 = 25 + 1 = 26
∴ The parabola intersects the y-axis at point (0 , 26)
- The parabola is opened upward because the coefficient of x² is +ve
* Now lets graph it
- Look to the attached graph
Is there a solution to |x| = -2
Answer:
There is no solution to the given problem [tex]|x|=-2[/tex].
Step-by-step explanation:
Given equation is [tex]|x|=-2[/tex].
Now we need to determine if there is solution to this equation or not.
We know that [tex]|x|[/tex] represents absolute value function.
By definition of absolute value function, we know that output of [tex]|x|[/tex] must always be positive.
But in given equation [tex]|x|=-2[/tex], we have output -2 which is negative.
That is not possible.
Hence there is no solution to the given problem [tex]|x|=-2[/tex].