Answer:
C- where n (greater than or equal to ) 1
Step-by-step explanation:
C- where n (greater than or equal to ) 1
Because in that sequence 0 doesn't make sense since 160 * 1/2 = 80 ^ 0 = 1. Doesn't make sense since there's no "1" in that sequence.
It's not "any number" because It can't be negative nor a decimal.
So, C.
:) hope this helps
Rosita should use the domain in option C : n ≥ 1, where n is an integer to generate the sequence for the function T(n) = 160 ( [tex]\frac{1}{2}[/tex] )ⁿ.
What is a Function?Functions are defined as the relation which is mapped from a set A to a set B such that it satisfies the property that an element in set A will only map to one element in B.
If f is a function defined from a set A to a set B, then all the elements of A which has an image on B is called the domain of the function f.
Here the given function is,
T(n) = 160 ( [tex]\frac{1}{2}[/tex] )ⁿ
And we know the first element is 80.
T(n) = 80 if and only if n = 1
T(1) = 160 ( [tex]\frac{1}{2}[/tex] )¹ = 160 / 2 = 80
Similarly,
T(2) = 160 ( [tex]\frac{1}{2}[/tex] )² = 40
T(3) = 160 ( [tex]\frac{1}{2}[/tex] )³ = 20
T(4) = 160 ( [tex]\frac{1}{2}[/tex] )⁴ = 10
and it goes on.
So the values of n are all integers where n ≥ 1.
Hence the domain of the function T(n) = 160 ( [tex]\frac{1}{2}[/tex] )ⁿ that Rosita should use for T to generate the sequence is n ≥ 1 where n is an integer.
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The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?
A. 36 inches
B. 21 inches
C. 15 inches
D. 30 inches
Answer:
The length is 15 inches.
Step-by-step explanation:
Perimeter of rectangle = 2L + 2W
If W = 6, then 2W = 2*6, which is 12.
Now, 2L + 12 = 42.
Solve for L.
2L + 12 = 42
2L = 30
L = 15
which of the following statements is incorrect?
Answer:
there is no picture
Step-by-step explanation:
i cannot solve this because there is no picture
Answer:
Step-by-step explanation:
where is the attachment?
What are reactants in the process of photosynthesis check
all that apply
Find the intercepts to graph the line.
2x - y = -4
Answer:
Step-by-step explanation:
2
x
−
y
=
4
Solve for
y
.
Tap for more steps...
y
=
−
4
+
2
x
Rewrite in slope-intercept form.
Tap for more steps...
y
=
2
x
−
4
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
2
y-intercept:
−
4
A'roll of cookie dough is 8.4 inches long. If we want to cut out 12 equal sections to make
12 cookies, how long will each section be?
Answer:
each section will be .7 inches long
Step-by-step explanation:
8.4/ 12
Select the correct answer. If A= and Ab= what is the value of matrix b
Answer: C. [tex]B=\left[\begin{array}{ccc}1\\3\\-5\end{array}\right][/tex]
Step-by-step explanation: I got this right on Edmentum.
Several operations such as addition, subtraction, multiplication, etc. can be performed on matrices. The value of matrix B is:
[tex]B =\left[\begin{array}{c}1&3&-5\end{array}\right][/tex]
Given that:
[tex]A =\left[\begin{array}{ccc}2&4&-2\\4&-5&7\\2&7&5\end{array}\right][/tex]
[tex]AB =\left[\begin{array}{c}24&-46&-2\end{array}\right][/tex]
Let matrix B be:
[tex]B =\left[\begin{array}{c}a&b&c\end{array}\right][/tex]
The product of A and B is as follows:
[tex]\left[\begin{array}{ccc}2&4&-2\\4&-5&7\\2&7&5\end{array}\right] \times\left[\begin{array}{c}a&b&c\end{array}\right][/tex]
Multiply the rows of A to the column of B. So, we have:
[tex]AB =\left[\begin{array}{ccc}2a+4b-2c\\4a-5b+7c\\2a+7b+5c\end{array}\right][/tex]
This means that:
[tex]\left[\begin{array}{ccc}2a+4b-2c\\4a-5b+7c\\2a+7b+5c\end{array}\right] = \left[\begin{array}{c}24&-46&-2\end{array}\right][/tex]
By comparison, we have:
[tex]2a + 4b - 2c = 24[/tex] --- (1)
[tex]4a - 5b + 7c = -46[/tex] --- (2)
[tex]2a + 7b + 5c = -2[/tex] --- (3)
Multiply (1) and (3) by 2
[tex]2a + 4b - 2c = 24[/tex] --- (1)
[tex]4a + 8b - 4c = 48[/tex] ----- (5)
[tex]2a + 7b + 5c = -2[/tex] --- (3)
[tex]4a + 14b + 10c = -4[/tex] ---- (6)
So, we have:
[tex]4a - 5b + 7c = -46[/tex] --- (2)
[tex]4a + 8b - 4c = 48[/tex] ----- (5)
[tex]4a + 14b + 10c = -4[/tex] ---- (6)
Make 4a the subject in each of the equations
[tex]4a = -46 + 5b - 7c[/tex]
[tex]4a = 48 - 8b + 4c[/tex]
[tex]4a = -4 - 14b - 10c[/tex]
[tex]4a = 4a[/tex]. So, we have:
[tex]-46 + 5b - 7c = 48 - 8b + 4c[/tex] and [tex]-46 + 5b - 7c = -4 - 14b - 10c[/tex]
Simplify both expressions
[tex]-46 + 5b - 7c = 48 - 8b + 4c[/tex]
[tex]5b + 8b - 7c - 4c = 48 + 46[/tex]
[tex]13b - 11c = 94[/tex]
[tex]-46 + 5b - 7c = -4 - 14b - 10c[/tex]
[tex]5b+14b - 7c + 10c = 46-4[/tex]
[tex]19b + 3c = 42[/tex]
Make c the subject
[tex]c = \frac{42 -19b}{3}[/tex]
Substitute [tex]c = \frac{42 -19b}{3}[/tex] in [tex]13b - 11c = 94[/tex]
[tex]13b - 11 \times (\frac{42 - 19b}{3}) = 94[/tex]
Multiply through by 3
[tex]39b - 11 \times (42 - 19b) = 282[/tex]
Open bracket
[tex]39b - 462 + 209b = 282[/tex]
Collect like terms
[tex]39b + 209b = 282+462[/tex]
[tex]248b = 744[/tex]
Solve for b
[tex]b = \frac{744}{248}[/tex]
[tex]b = 3[/tex]
Solve for c
[tex]c = \frac{42 -19b}{3}[/tex]
[tex]c = \frac{42 - 19 \times 3}{3}[/tex]
[tex]c = \frac{-15}{3}[/tex]
[tex]c = -5[/tex]
Solve for a in [tex]4a = -4 - 14b - 10c[/tex]
[tex]4a = -4 - 14 \times 3 - 10 \times -5[/tex]
[tex]4a = 4[/tex]
Divide by 4
[tex]a = 1[/tex]
Recall that matrix B is:
[tex]B =\left[\begin{array}{c}a&b&c\end{array}\right][/tex]
Hence, the value of matrix B is:
[tex]B =\left[\begin{array}{c}1&3&-5\end{array}\right][/tex]
Read more on matrix operations at:
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how do I turn 5 — 3(х+1) — 2y — 3х + 2 into an y=mx+b form
Answer:
y = -3x + 2
Step-by-step explanation:
Ok so I assumed that you are setting this equal to 0 or there would be an equal sign in the equation. So basically you just want to gather like terms on each side so the y's on the left and the x's on the right. You then want to solve using algebra and you have your answer! I will add a picture to show my steps.
Does anyone know the answers to A, B, and C?
BRAINLIEST:
Evaluate each expression for x = 2 and y = 5.
3. -4x^-2 + 3y^0
A wall mosaic is being designed. The tiles for the wall make a rectangular grid consisting of mºrows and m columns. Which expression shows the number of tiles on the wall?
[tex]m {8}^{?} [/tex]
[tex]2 {m}^{3} + 2 {m}^{5} [/tex]
[tex] {m}^{3} + {m}^{5} [/tex]
[tex] {m}^{15} [/tex]
Answer:
m^8
Step-by-step explanation:
The number of tiles on the wall is m^(8)
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here, it is given that :
number of rows = m³
number of columns = m^(5)
Now, we have to find the number of tiles in a wall
= rows * column
= m³ * m^(5)
= m^(3+5)
= m^(8)
hence, the number of tiles in a wall is m^(8)
Learn more about algebra here:
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Complete the missing value in the solution to the equa
6x + 1 = y + 2x
3,
Blank 1:
Answer:
y = 4x +1
Step-by-step explanation:
6x + 1 = y + 2x
First you need to solve for y, so then you need to
1. Combine like terms
So since there isn't anything to combine we can more on.
2. Make Y by itself
You need to subtract the 2x from both side to get the answer
y = 4x +1
A boiling ball weigh 6 kilograms. How much does 4 bowling ball weigh?
Are the ratios 84/96 and 56/63 proportional?
Answer:
No
Step-by-step explanation:
Because 84/96 = 7/8 and 56/63= 8/9
prime factorization of 43
Answer:
Step-by-step explanation:
Prime factorization: 43 is prime. The exponent of prime number 43 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 43 has exactly 2 factors.
7.) If a circle has a diameter of 40 inches, what is the same circles radius?
120 inches
O 80 inches
20 inches
4 inches
Given: triangle ABC is isosceles with
So which means that ABC is not isosceles.
Which set of statements explains how to plot a point at the location (Negative 3 and one-half, negative 2)? Start at the origin. Move 3 and one-half units right because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between 3 and 4. Move 2 units down because the y-coordinate is -2. Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units left because the y-coordinate is -2 . Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2 . Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.
Answer:
D
Step-by-step explanation:
I just took the quiz
An apartment building has 24 apartments. The floor area of each apartment is 786 square feet.
Which shows the equation you can use to find the floor area, f, of all the apartments and the value of f?
A. 24 + 786 = f; 810 square feet
B. 24 × 786 = f; 28,864 square feet
C. 24 × 786 = f; 18,864 square feet
D. 24 × 786 = f; 17,864 square feet
Answer:
c.
Step-by-step explanation:
i think at least i just used the calculator
at a shelter 97 % of the dogs are puppies there are 100 dogs at the shelter how many are puppies
Answer:
97 puppies
Step-by-step explanation:
97%=0.97*100 is 97
Hope this helps plz hit the crown :D
Answer:97
Step-by-step explanation:
97 puppies
What is the approximate percent decrease when a fish count goes down from 850 to 500? The percent decrease is approximately 40%. The percent decrease is approximately 70%. The percent decrease is approximately 140%. The percent decrease is approximately 240%.
Answer:
The percent decrease is approximately 40%.Step-by-step explanation:
Step one:
given data
initial count of fish= 850
final count of fish= 500
Required
% decrease
Step two:
% decrease= final-initial/initial*100
substitute
% decrease= 850-500/850*100
% decrease=350/850*100
% decrease= 0.41*100
% decrease= 40.1%
The percent decrease is approximately 40%.
Answer:
The percent decrease is approximately 70%
Brainliest!!! 5 stars!!!! Thanks!!!
Answer: 11 . 5.65 (6)
12 14.1
Step-by-step explanation:
Answer:
Hey... Im zoribelle
Step-by-step explanation:
find the slope of the given line in the equation:
given:y=1/3x -3
Answer:
1/3
Step-by-step explanation:
y=mx+b
m= Slope
So, 1/3 is the slope.
the answer? m. plzjjejekekekekekekekekek
Answer:
Whats the question?
Step-by-step explanation:
please help!!!!!! im not too sure how to answer this.
The total cost for 56 sixth-grade students to go on a field trip was $1,904. How much did the field trip cost per student?
$31
$33
$34
$35
Answer:
$34
Step-by-step explanation:
Divide 1904/56 = $34
Could anyone help me with 4 questions about inequalities?
I will give points and brainiest.
Answer:
Put a shaded dot in 9 and an arrow pointing left
Step-by-step explanation:
Solve the equation.
b – 160 = 26
A. b= 60
B. b= 140
C. b= 186
D. b= 212
Answer:
c. 186 any more help just ask :)
Micheal and Tracy are carpeting their family room that is 14 1/2 feet long and 12 1/4 feet wide. To find the amount of carpet needed micheal says to multiply 15 1/2 and 12 1/4 and Tracy says to multiply 12 1/4 and 15 1/2 . Who is right how much carpet is needed
Answer:
Area of carpet = 177.625 ft²
Step-by-step explanation:
Given:
Length of room = [tex]14\frac{1}{2}[/tex] = 14.5 ft
Width of room = [tex]12\frac{1}{4}[/tex] = 12.25 ft
Find:
Area of carpet
Computation:
Area of carpet = lb
Area of carpet = (14.5)(12.25)
Area of carpet = 177.625 ft²
Micheal estimation = 15.5 x 12.25 = 189.875
Tracy estimation = 12.25 x 15.5 = 189.875
Both wrong.
PLEASE HELP! Which table shows a proportional relationship between x and y?
What is the product of 2/3 x 3/8
Answer:
1/4
Step-by-step explanation:
First, reduce the numbers with the greatest common factor of 2.
Then, you get your answer of 1/4.
