Answer:
Sum of 374 and 25 = 374+25 = 399
now subtract 9 from the sum, i.e. 399 = 399 - 9 = 390 is your answer
Answer:
Step-by-step explanation:
374+25
=399
Now, subtracting the sum from 9
9-399
= -390
Determine the convergence or divergence of the sequence with the given nth term. if the sequence converges, find its limit. (if the quantity diverges, enter diverges. ) an = 21/n
The given sequence [tex]2^{\frac{1}{n} }[/tex] converges with limit 1.
According to the given question.
We have a sequence,
[tex]a_{n} = 2^{\frac{1}{n} }[/tex]
Since, we know that
The sequence of real numbers [tex]S_{n}[/tex], where n goes from 1 to infinity has a limit L, the the sequence is convergent to L. If the sequence doesn't have limit then it is divergent.
The nth root function is strictly increasing for positive real values.
Therefore,
[tex]1^{\frac{1}{n} } \leq 2^{\frac{1}{n} } \leq n^{\frac{1}{n} }[/tex] [tex]\forall \ n\geq 2[/tex]
Also,
[tex]\lim_{n \to \infty} n^{\frac{1}{n} } = 1[/tex]
[tex]\implies \lim_{n \to \infty} 1^{\frac{1}{n} } =1[/tex] ( by squeeze theorem)
Thereofore,
[tex]\lim_{n \to \infty}2^{\frac{1}{n} } =1[/tex]
So, the given sequecence has a limit i.e. 1. Which means [tex]2^{\frac{1}{n} }[/tex] is a convergent sequence.
Hence, the given sequence [tex]2^{\frac{1}{n} }[/tex] converges with limit 1.
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Use the graph to write the explicit rule of the arithmetic sequence.
Question 19 options:
A)
ƒ(n) = 9 + 2(n – 1)
B)
ƒ(n) = 5 + 3(n – 1)
C)
ƒ(n) = –3 + 2(n – 1)
D)
ƒ(n) = 3 + 2(n – 1)
Answer: D
Step-by-step explanation:
The first term is 3 and the common difference is 2.
Substituting into the explicit formula for an arithmetic sequence gives D as the correct answer.
Find the standard matrix for the linear transformation t.t(x, y) = (3x 6y, 3x − 6y)
The standard matrix for the linear transformation t is
| 3 6 |
| 3 -6 |
How to determine the standard matrix for the linear transformation t?The linear transformation of matrix T is given as:
t(x, y) = (3x + 6y, 3x − 6y)
When the above linear transformation is represented as a matrix, we have the following expression
T([x]) = | 3x + 6y |
[y] | 3x - 6y |
The above linear transformation of matrix can be rewritten as the following product of matrixes
T([x]) = | 3x + 6y | = | 3 6 | | x |
[y] | 3x - 6y | | 3 -6 | | y |
From the above equation, the standard matrix for the linear transformation t is
| 3 6 |
| 3 -6 |
Hence, the standard matrix for the linear transformation t is
| 3 6 |
| 3 -6 |
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The perimeter of a square must be greater than 164 164 inches but less than 188 188 inches. find the range of possible side lengths that satisfy these conditions. (hint: the perimeter of a square is given by p=4s p = 4 s , where s represents the length of a side). express your answer in interval notation. use decimal form for numerical values.
The range of possible side lengths in interval notation 41 < s < 47
What does it mean to interval notation?
Interval notation is a way to describe continuous sets of real numbers by the numbers that bound them. Intervals, when written, look somewhat like ordered pairs. However, they are not meant to denote a specific point. Rather, they are meant to be a shorthand way to write an inequality or system of inequalities.Since the perimeter is four times the side, the constraints on the perimeter are immediately translated into constraints on the side-
[tex]164 < p < 188 = 164 < 4s < 188[/tex]
So, if you divide every term in the inequality by 4, you have
[tex]\frac{164}{4} < s < \frac{188}{4}[/tex]
Now simply evaluate the fractions
41 < s < 47
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PLS HELP IM SUPER STUCK AAA
Answer:
(15,0) , (0,6)
Step-by-step explanation:
Same concept as the previous 2 questions.
x-intercept is where the line touches the x-axis, and y = 0.
when y = 0,
12x + 30(0) = 180
12x = 180
x = [tex]\frac{180}{12}[/tex]
x = 15
Therefore the coordinates of the x-intercept is (15,0)
y-intercept is where the line touches the y-axis, and x = 0.
when x = 0,
12(0) + 30y = 180
30y = 180
y = [tex]\frac{180}{30}[/tex]
y = 6
Therefore the coordinates of the y-intercept is (0,6)
PLS HELP ASAP
Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base 25\text{ m}25 m25, start text, space, m, end text and height 30\text{ m}30 m30, start text, space, m, end text.
Answer:
see attached
Step-by-step explanation:
Each grid square represents 5 m, so the distances shown on the grid will be scaled appropriately.
Scale drawingThe 25 m base dimension will be represented by (25 m)/(5 m/square) = 5 squares.
The 30 m height dimension will be represented by (30 m)/(5 m/square) = 6 squares.
The attached drawing shows the triangle with base 25 m and height 30 m on a 5 m grid.
What is the end behavior of the function f of x equals negative 4 times the cube root of x? as x → –[infinity], f(x) → –[infinity], and as x → [infinity], f(x) → [infinity]. as x → –[infinity], f(x) → [infinity], and as x → [infinity], f(x) → –[infinity]. as x → –[infinity], f(x) → 0, and as x → [infinity], f(x) → 0. as x → 0, f(x) → –[infinity], and as x → [infinity], f(x) → 0.
The end behavior of the function is as:
as →∞, f(x)→+∞ and as x→-∞, f(x)→+∞
What is end behavior?The x-axis "endpoints" of a function's graph are referred to as its "end behavior" in this context.
How do determine the end behavior of a function?choosing the polynomial function's greatest degree. The highest degree term will dominate the graph since it will expand more quickly than the other terms as x gets very big or very small.
Function f(x)=2∛x has the following graph:
The behavior of the function at its conclusion is because it leads to infinity.
as x→∞, f(x)→+∞ and as x→-∞, f(x)→+∞
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Charlie began hiking from her campsite back to her car. Her campsite was located 9 miles from her car. She had walked for 1 hour and was 2 miles from her campsite when she realized she had forgotten her water bottle. She hurried back to her campsite in 0.5 hours, collected her water bottle, and rested for 0.5 hours. Then she began hiking back to her car at a quicker pace. She hiked for 3 more hours before she reached her car. Which graph represents Charlie's distance from her car at different times?
The Distance - Time graph that represents that represents Charlie's trip is attached accordingly.
What is a Distance - Time Graph?A distance-time graph can be used to illustrate the distance traveled by an item moving in a straight line.
The gradient of the line in a distance-time graph equals the speed of the item. The quicker the item moves, the higher the gradient (and the steeper the line).
What is the use of a Distance - Time Graph?Some of the uses of the distance-time graph are;
The position of the object at a time can be detected using the distance - time graphThe D-T Graph can provide the speed at which a person or an object is traveling.Learn more about Distance - Time Graph:
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The table of ordered pairs (x,y) gives an exponential function.
Write an equation for the function.
The equation for the exponential function containing the points (0, 8) and (1, 32) is y = 8(4)ˣ
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
At point (0, 8):
8 = ab⁰
a = 8
At point (1, 32):
32 = 8b
b = 4
The equation for the exponential function containing the points (0, 8) and (1, 32) is y = 8(4)ˣ
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Please help me asap due at 5:00
Answer:
11/18.
Dan is 8.
Step-by-step explanation:
The initial fraction is
x / 2x-4
Adding 3/3 we have
x+3 / 2x-1 = 2/3
Cross multiply:
3(x+3) = 2(2x-1)
3x + 9 = 4x - 2
9 + 2 = 4x - 3x
11 = x,
So the original fraction was 11 / 2(11) - 4
= 11/18.
If Dans age is d then Lois's age = 4d.
So 4d + d = 40
5d = 40
d = 8.
So Dan is 8 years old.
PLEASE HELP IM STUCK ON THIS
Answer:
(-1,1)
Step-by-step explanation:
look where the two equations intercept that is usually the answer
AB passes through A(-3,0) and B(-6,5). what is the equation of the line that passes through the origin and is parallel to AB?
Answer:
y = -5/3x or 5x +3y = 0
Step-by-step explanation:
To write the equation of a line through the origin, we need only find its slope. It is parallel to the line through the given points, so will have the same slope.
SlopeThe slope of a line through points (x1, y1) and (x2, y2) is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For the given points, the slope is ...
m = (5 -0)/(-6 -(-3)) = 5/(-3) = -5/3
EquationThe line trough the origin has a y-intercept of zero, so its equation will be ...
y = mx
For the slope we found, the desired equation is ...
y = -5/3x
Standard formIf we multiply by 3 and add 5x, we have ...
3y = -5x
5x +3y = 0 . . . . . . standard form equation of the line
PLS HELP ITS MATH PLS
Answer:
y = 2x + 7
Step-by-step explanation:
When a line is parallel to another line, then the slopes of the lines are equal. If line A has an equation y = 3x + 5, then line B, parallel to line A, must also have a slope of 3. Therefore, we know that m (slope) is 2 in this case.
Next, let’s substitute the x and y coordinates and the slope value into y - y1 = m(x - x1). In this case, -4 is x1, and -1 is y1.
y - y1 = m(x - x1)
y + 1 = 2(x + 4)
Finally, simplify the equation and transform it into the slope intercept form, y = mx + b.
y + 1 = 2(x + 4)
y + 1 = 2x + 8
y = 2x + 7
Help, please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
student 2 is correct
Step-by-step explanation:
there are 10 [tex]\frac{1}{10}[/tex] ' s in 1 , so
37 × 10 = 370 ← number of tenths in 37
0.6 = [tex]\frac{6}{10}[/tex] , that is 6 tenths
then
37.6 = 370 + 6 = 376 ← number of tenths
Need this soon please -
Select the correct answer.
What is the inverse of function
f(x)=√x + 7
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
Option A is correct[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
Find inverse of given function :
[tex]\qquad❖ \: \sf \:y = \sqrt{x} + 7[/tex]
[tex]\qquad❖ \: \sf \: \sqrt{x} = y - 7[/tex]
[tex]\qquad❖ \: \sf \:x = (y - 7) {}^{2} [/tex]
Next, replace x with f-¹(x) and y with x ~
[tex]\qquad❖ \: \sf \:f {}^{ - 1} (x) = (x - 7) {}^{2} [/tex]
we got our inverse function.
Condition : x should be greater or equal to 7
because we will get same value of y for different x if we also include values less than 7.
[tex] \qquad \large \sf {Conclusion} : [/tex]
Correct option is A[tex] \huge\mathbb{ \underline{SOLUTION :}}[/tex]
Given:[tex]\longrightarrow\bold{f(x)= \sqrt{7}}[/tex]
To solve for the inverse of a function we begin by re-writing the function as an equation in terms of y.
[tex]\bold{Becomes,}[/tex]
Next step we switch sides for x and y variables and then solve for the y variable as shown below,
[tex]\longrightarrow\sf{y= \sqrt{x}+7}[/tex]
[tex]\bold{Then,}[/tex]
[tex]\longrightarrow\sf{x= \sqrt{y}+7}[/tex]
[tex]\small\bold{Solve \: for \: y \: and \: subtract \: 7 \: from \: the \: both \: }[/tex] [tex]\bold{sides,}[/tex]
[tex]\longrightarrow\sf{x-7= \sqrt{y}}[/tex]
[tex]\small\bold{Square \: both \: sides }[/tex]
[tex]\sf{(x-7)^2=(\sqrt{y})^2}[/tex]
[tex]\sf{(x-7)^2=y}[/tex]
We now re-write in function notation. Take note however that this is the inverse:
[tex]\bold{Where \: y}[/tex] [tex]\sf{=(x-7)^2 }[/tex]
[tex]\longrightarrow\sf{y= (x-7)^2 }[/tex]
[tex]\huge\mathbb{ \underline{ANSWER:}}[/tex]
[tex]\large\boxed{\sf A. \: \: f^{-1}(x)= (x − 7)^2 , \: for \: \underline > 7 }[/tex]
Drag and drop an answer to each box to correctly explain the derivation of the formula for the volume of a pyramid.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be PLEASE NEED HELP
moved by dragging with a mouse.
The ratio of the volume of a pyramid to the volume of a prism with the same base and height is Response area. Because the formula for the volume of a prism is V=Bh, where B is the area of the base and h is the height, the formula for the volume of a pyramid is Response area.
The ratio of the volume of a pyramid to the volume of a prism with the same base and height is 1 to 3; the formula for the volume of a pyramid is V = 1/3Bh.
Volume of pyramidVolume of prism, V = BhVolume of pyramid, V = 1/3Bhwhere,
B = the area of the base and h = the heightVolume of prism : Volume of pyramid
Bh : 1/3Bh
Therefore, the ratio of the volume of a pyramid to the volume of a prism with the same base and height is 1 to 3.
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Is Figure B a scale copy of Figure A?
in a convex hexa
gon the sum of interior is how many times the sum of exterior angles
Answer:
Twice
Step-by-step explanation:
In a convex hexagon the sum of all interior angle is equal to twice of exterior angles.
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Determine the sum of the first 40 terms in the geometric series: 1, 1.5, 2.25, 3.375, …
The sum of the first 40 terms of the geometric sequence is:
22,114,662.64
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
The sum of the first n terms of a sequence is:
[tex]S_n = \frac{a_1(1 - q^n)}{1 - q}[/tex]
For this problem, the parameters are:
a1 = 1, q = 1.5, n = 40.
Hence the sum is:
[tex]S_{40} = \frac{1 - 1.5^{40}}{1 - 1.5} = 22,114,662.64[/tex]
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Any help is appreciated!
Answer:
∠a=40°, ∠b=50°, ∠c=115°.
Step-by-step explanation:
∵The opposite vertex angles are equal,
∴∠a=40°.
∴∠b=90°-∠a=90°-40°=50°.
∠c=180°-65°=115°.
There are 25 girls, 18 boys and 7 adults on a bus. What percentage
of the people on the bus are adults?
Answer:
0.5%
Step-by-step explanation:
giving brainliest to right answer tyy
Answer:
B
Step-by-step explanation:
Original form:
y=mx+b
m=slope
b=y interecept
By replacing those variables with the given we come up with the equation of:
y=3/2x-7
Answer:B
Step-by-step explanation:
Quadilateral ABCD is similar to quadilateral EFGD. Which angle of quadilateral ABCD corresponds to F
Answer:
< B.
Step-by-step explanation:
B corresponds to F.
Mar18/Q9 - V2
2^p=1\8^4
Find the value of p.
Answer:
-12
Step-by-step explanation:
2^p = ⅛⁴
⅛ x ⅛ x ⅛ x ⅛ = 1/4096
2^p = 4096
log base 2 of 1/4096 = -12
Puppy A weighs 8 pounds, which is about 25% of its adult weight. What will be the adult weight of Puppy A?
2. Puppy B weighs 8 pounds, which is about 75% of its adult weight. What will be the adult weight of Puppy B?
3. If you haven’t already, write an equation for each situation. Then, show how you could find the adult weight of each puppy by solving the equation.
Let x
be the weight of Puppy A.
Answer:
below
Step-by-step explanation:
1) 8 = 25 percent
100 percent = 8 x 4
100 percent = 32
2) 8 = 75 percent
5 percent = 8 / 15
100 percent = 8 / 15 x 20
100 percent = 10.67
3) x = weight of puppy A
y = percentage
z = adult weight
z = x(100 / y)
Write a scenario that could work for the following line of best fit: y = x + 1. Explain the slope and intercept
n this context.
UPLOAD
The linear equation can represent the ages of two sisters that are born one-year apart.
What situation can model the given linear equation?Here we have the linear equation:
y = x + 1
So the value of y is always one more than the value of x, so for example, suppose that two sisters are born one-year appart, then we can use the above linear equation to represent the age of the older sister as a function of the age of of the younger one.
In that case, the slope of 1 means that both of the sisters age at the same ritm.
The y-intercept of 1 means that the older sister is 1 years old when the younger sister was born.
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A professional basketball team won 48 games and lost 32. what fraction of the games did the team win?
Answer:
48/80 = 6/10
Step-by-step explanation:
48 wins
+ 32 lost
= 80 total games
Then the fraction of the games win is:
48/80
= 6/10
Answer:3/5 of the games
Step-by-step explanation: The total number of games played by the team is 48+32 = 80 games. out of hose 80, they won 48 so they won 48/80 games. We can simplify this by dividing both sides by 8 to get 6/10. Which is 60%. Finally we can simplify again by dividing the fraction by 2/2 to get 3/5.
Kaley solved 10 x 5 x 2 using the equations below.
10 x 5 x 2 = (10 × 5) × 2
= 50 x 2
= 100
Use the equations below to solve 10 x 5 x 2 in a different way.
10 x 5 x 2
= 10 x (
= 10 x
=
= 100
=
x 2)
Answer + Step-by-step explanation:
10 × 5 × 2
= 10 × (5 × 2) (associative property)
= 10 × (10)
= 10 × 10
= 100
Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to tariqareesha2, tysm for the help!
Please help answer my questions like these I have many more quick algebra 1 questions that are all due in 2 days so it would be much appreciated if you check them out. Once again, tysm!
The line is parallel to y axis
We know that if a line is parallel to y axis
slope=tan90=undefinedSo there is no slope
Here it has constant x value as -2
So the equation is
x=-2Option A
Answer:
x = -2
Step-by-step explanation:
The line is crossing the x-axis at -2, The graph is attached
Since it is identical to the graph given in the problem, x=-2 is the correct answer
pls help!
using the numbers 1-9 fill in the boxes so that it meets the criteria. use each number only once per red box and once per blue box
The way to solve this is to try to get the vales that would best fill the empty spaces in the diagram. This has been done below
a. log6⁰, log 2 . 1, log 8/3
b. log 1 .4 , 1 , log 4. 6
c. log 9/2, log 3. 5 , log 5⁷
How to find the logarithm of a numberTo do this, you have to decide on that specific number whose logarithm you are trying to determine. Next you have to find the base of that number.
The logarithm of the number is the power that it would have to be raised for us to obtain a different number.
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