Answer:
Step-by-step explanation:
the answer is A
f(x)=16x-4. Find f(-1)
Answer:
f(- 1) = - 20
Step-by-step explanation:
Substitute x = - 1 into f(x) and evaluate , that is
f(- 1) = 16(- 1) - 4 = - 16 - 4 = - 20
Find the ending balance if $500 was deposited at 5% annual interest compounded quarterly for 3 years.
Answer:
$575 ,
Step-by-step explanation:
5% of $500 is only $25
multiply that by 3YRS due to annual interest it would amount too
an addition $75 dollars so the answer is $575
The function f(x) is shown on the graph.
What is f(0)
Answer: I believe that it is A if I'm wrong then sorry
HELP ASAP ILL GIVE BRAINLIST
Solve for the measure of ∠PMR. Show your work and explain how you got your answer.
Answer:
61°
Step-by-step explanation:
We have to take the arcs at P to mean angles RPW and MPW are congruent. That means each is 58°/2 = 29°. Angle PMR is the other acute angle in right triangle PMW, so it will be the complement of 29°.
∠PMR = 90° -29° = 61°
A trinomial with a leading coefficient of 3 33 and a constant term of − 5 is called:_________
According to the question a trinomial with a leading coefficient of 3 and a constant term of -5 would be 3x² + x - 5.
A trinomial is a polynomial with three terms is in the form of Ax²+Bx+C, where, A is the leading coefficient of veriable X², B is the middle coefficient of x and C is the constant of polynomial.
A trinomial with a leading coefficient of 3 and a constant term of -5.
Here, a=3,c=-5 and consider b=1,
Therefore, a trinomial with a leading coefficient of 3 and a constant term of -5 would be 3x² + x - 5.
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Complete the following statement. Use the integers that are closest to the number in the middle. < 82 <
The integers that are closest to the number in the middle in the inequality x < √82 < y are x = 9 and y = 11.
To find the integers x and y that satisfy the inequality x < √82 < y, we need to find the two integers that are closest to the square root of 82.
First, we know that the perfect square that is less than 82 is 81, which is equal to 9². Therefore, we can say that 9 < √82.
Next, we need to find the next closest integer to the square root of 82. To do this, we can calculate the square of 10 and the square of 11, which are 100 and 121, respectively. Since 82 is closer to 81 than to 100, we can say that √82 < 10.5.
Therefore, x = 9 and y = 11 are the integers that satisfy the inequality x < √82 < y.
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The question is -
Complete the following statement. Use the integers that are closest to the number in the middle. x < √82 < y, find x and y.
The circumference of a redwood tree trunk is 20π ft, and it is 100 ft tall. What is the approximate volume of the redwood tree trunk?
1,000π ft3
10,000π ft3
4,000π ft3
40,000π ft3
9514 1404 393
Answer:
(b) 10,000π ft³
Step-by-step explanation:
The relation between circumference and radius is ...
C = 2πr
r = C/(2π) = (20π)/(2π) = 10 . . . . feet
The volume of a cylinder with radius 10 ft and height 100 ft is ...
V = πr²h
V = π(10 ft)²(100 ft)
V = 10,000π ft³
Answer:
10,000π ft3
Step-by-step explanation:
I took the test
Function g can be thought of as a translation (shifted) version of f(x)=x^2
What is the equation for g (x).?? PLEASE HELP ASAP
Answer:
(x+5)²
Step-by-step explanation:
To solve this we just need to shift the graph 5 spots to the left
to do this we need to add 5 to the x
(x+5)²
From sin(3θ) = −1/sqrt2, Solve for 3θ on the interval [0,2pi). Enter your answers on a comma separated list.
3θ=
θ=
We cannot provide a single value for θ in the range [0, 2π).
What is the equivalent expression?
Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.
To solve for 3θ in the equation sin(3θ) = -1/√2, we need to find the values of θ that satisfy the equation.
Find the inverse sine of both sides to isolate 3θ:
arcsin(sin(3θ)) = arcsin(-1/√2)
3θ = arcsin(-1/√2)
Evaluate the inverse sine on the right side using a calculator or reference table.
The principal value of arcsin(-1/√2) is -π/4.
3θ = -π/4
To find θ, divide both sides by 3:
θ = (-π/4) / 3
Now, let's find the value of θ within the interval [0, 2π):
Since (-π/4)/3 is negative, we can add 2π repeatedly to get the equivalent angle within the desired interval:
θ = (-π/4) / 3 + 2π
θ = (-π/4) / 3 + 2π + 2π
θ = (-π/4) / 3 + 2π + 2π + 2π
...
Continue adding 2π until θ is within the range [0, 2π).
θ = (-π/4) / 3 + 2π + 2π + 2π + ...
To simplify the expression, we can express -π/4 as -2π/8:
θ = (-2π/8) / 3 + 2π + 2π + 2π + ...
Now, let's simplify further:
θ = (-2π/24) + 2π + 2π + 2π + ...
θ = (-2π/24) + (48π/24) + (48π/24) + (48π/24) + ...
Combining like terms:
θ = (46π/24) + (48π/24) + (48π/24) + ...
Simplifying:
θ = (94π/24) + (48π/24) + (48π/24) + ...
θ = (94π + 48π + 48π + ...) / 24
We can see that the expression (94π + 48π + 48π + ...) will keep increasing by adding 48π repeatedly.
Therefore, there is no specific value for θ within the range [0, 2π). Instead, θ can take infinitely many values.
Hence, we cannot provide a single value for θ in the range [0, 2π).
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HELP IS APPRECIATED PLZ
Answer:
the vertex is (-6,8)
axis of symmetry is x=-6
all i can do for now
Step-by-step explanation:
In band, there are 3 woodwinds for every 1 percussion
player. What is the ratio of woodwinds to percussion players?
Answer:
3:1
Step-by-step explanation:
For every 3 woodwinds, there is 1 percussion.
Note:
6:2, 9:3, 12:4 are equivalent to 3:1.
Every time you add 3 to the first value, and 1 to the second value.
Answer:
3:1
Step-by-step explanation:
it is pretty self-explanatory. For every x amount of percussionists there are y amount of woodwinds.
y:x
y=3
x=1
3:1
A piecewise function f (x) is defined by f of x is equal to the piecewise function of 3 to the power of the quantity x plus 1 end quantity minus 2 for x is less than or equal to 1 and the quantity 7 over x for x is greater than 1
Part A: Based on the graph of f (x), what is the range? (5 points)
Part B: Determine the asymptotes of f (x). (5 points)
Part C: Describe the end behavior of f (x). (5 points)
A. The range of the function is given as follows: (-2,7].
B. The asymptotes of f(x) are given as follows:
Horizontal asymptote: y = -2 and y = 0.Vertical asymptote: none.C. The end behavior of the function is defined as follows:
As x -> -∞, f(x) -> -2.As x -> ∞, f(x) -> 0.How to obtain the features of the function?The range of a function is given by the set of all the output values that compose the function.
For the definition to the left of x = 1, the minimum and maximum values are given as follows:
Minimum: y = -2 as x goes to negative infinite -> horizontal asympote.Maximum: y = 7 as x = 1.For the definition to the right of x = 1, the minimum and maximum values are given as follows:
Minimum: y = 0 as x -> infinity -> horizontal asymptote.Maximum: y = 7 to the right of 1.Hence the range is given as follows:
(-2,7].
The range is open at y = -2 as the function never assumes the a value of -2, it just comes close.
The end behavior is given by the limits of the function as it goes to negative infinity and to positive infinity.
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Tamar's house is greater than 472 and less than 500 which number can be on Tamar's house?
490
472 <490<500
it fits the criteria
An elevator goes up 7 floors and then down 4 floors .what integet represent the change in the floor level
Answer:
it's 3
Step-by-step explanation:
it went up 7 floors and went down 4 floors, if you subtracted those it will be 3.
What does closed under addition mean in math?
The sum of two integers is also an integer.
What is an integer?
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.
When we conduct an operation on set members and always obtain a set member, the set is said to be closed under that operation. As a result, a set either possesses closure regarding a particular operation or it does not. A set is said to satisfy a closure property if it is closed by an operation or set of operations. A closure property is typically introduced as a hypothesis, known as the axiom of closure.
If a and b two integer.
Then the sum of the integer a + b is also an integer. Thus addition operation closer property.
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The selling price of a refrigerator is $693.00. If the markup is 5% of the dealers cost, what is the dealers cost of the refrigerator?
Answer:
727.65
Step-by-step explanation: The markup is 5%of the selling price, so multiply the selling price by 0.05 for 5%, you get 34.65. Add that to the selling price, and you get 727.65 as your total.
If the markup is 5% of the dealer's cost. Then the dealer's cost of the refrigerator will be $727.65.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
The selling price of a refrigerator is $693.00.
If the markup is 5% of the dealer's cost.
Then the dealer's cost of the refrigerator will be
⇒ $693.00 × (1 + 0.05)
⇒ $693.00 × 1.05
⇒ $727.65
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I just need level two and three solved please
Answer:
intercepts: (0, 5/2) or (-5, 0)arbitrary point: (7, 6)Step-by-step explanation:
You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).
InterceptsWriting the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -2 = 1/2(x -(-1)) . . . . . using given slope and point
2y -4 = x +1 . . . . . . . . . . multiply by 2
x -2y = -5 . . . . . . . . . . . . add -1 -2y
Setting x=0 tells us the y-intercept is ...
0 -2y = -5
y = -5/-2 = 5/2
So, the y-intercept is (0, 5/2).
Setting y=0 tells us the x-intercept is ...
x -2(0) = -5
x = -5
So, the x-intercept is (-5, 0).
Arbitrary pointIt will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...
x -2y = -5
x = -5 +2y = -5 +2(6) = 7
Another point on the line is (7, 6).
__
Additional comment
If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.
<95141404393>
GIVING BRAINLIEST TO CORRECT ANSWER
Given: KL ║ NM , LM = 45, m∠M = 50° KN ⊥ NM , NL ⊥ LM Find: KL, KM
From the question, , KL ≈ 34.32 and KM ≈ 55.81.
How to find KL and KMSince KL ║ NM, we have m∠KLM = m∠M = 50° (alternate interior angles)
Also, KN ⊥ NM and NL ⊥ LM, so KNL and LNM are right triangles.
From KNL, we have:
sin(50°) = KN/KL
KN = KL sin(50°)
From LNM, we have:
LM + MN = 45
MN = KL cos(50°)
Since KN ⊥ NM, we have:
KM = KN + MN
KM = KL sin(50°) + KL cos(50°)
KM = KL(sin(50°) + cos(50°))
We can solve for KL using MN and LM:
MN = KL cos(50°)
MN = 45 - LM
KL cos(50°) = 45 - LM
KL = (45 - LM) / cos(50°)
Substituting into the equation for KM:
KM = [(45 - LM) / cos(50°)] (sin(50°) + cos(50°))
Simplifying, we get:
KM ≈ 55.81
And substituting back into the equation for KL:
KL ≈ 34.32
Therefore, KL ≈ 34.32 and KM ≈ 55.81.
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Patrick is excited to attend his son’s soccer game tomorrow
evening, but he also needs to ensure his daughter arrives at her
coding class on time. Patrick is debating whether taking the train
or his
Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.
On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.
If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.
Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.
Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.
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a contractor needs to buy nails to build a house. the nails come in a small boxes and large boxes. each small box has 200 nails and each large box has 600 nails. the contractor bought twice as many small boxes as large boxes, which altogether had 3000 nails. graphically solve a system of equations in order to determine the number of small boxes purchased,x, and the number of large boxes purchased,y.
By using simultaneous linear equation the results obtained are-
Number of small boxes = 6 and number of large boxes = 3
What is simultaneous linear equation?
At first it is important to know about linear equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.
Let the number of small boxes purchased be x, and the number of large boxes purchased be y.
Each small box has 200 nails and each large box has 600 nails.
Total number of nails = 3000
\(200x +600y = 3000\\200(x+ 3y)=3000\\x + 3y = \frac{3000}{200}\\x + 3y = 15\) .............. (1)
The contractor bought twice as many small boxes as large boxes
So,
\(x = 2y\\x - 2y = 0............(2)\)
The equations are solved graphically. The graph has been attached.
From the graph, it can be said that the two lines meet at (6, 3)
So x = 6, y = 3
Number of small boxes = 6 and number of large boxes = 3
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Write the equation in slope-intercept form of the line that passes through
the points (5, 4) and (-1,6)
Answer: y = -1/3x + 17/3
Step-by-step explanation:
Hey there! I will be showing and giving the formula/steps to solve this problem. If there are any questions then feel free to ask in the comments.
Formula: y = mx + b
Step 1 - Find M
m = (6 - 4) / (-1 - 5) = -2/6 = -1/3
The m is the slope.
Step 2 - Use (5, 4) to find point B
y = -1/3x + b
4 = 1/3 * 5 + b
b = 17/3
Answer: y = -1/3x + 17/3
You will plugin 4 for y and b is the intercept.
~I hope I helped you :)~
What is -5.1 – 6.2=?
Answer:
It is -11.3
Step-by-step explanation: Hope this help :)
Answer:
11.3or 1.1
Step-by-step explanation:
-0.2(x-20)=44-x Please i really need help. and please add an explanation if u want to.
Answer: x = 50
Step-by-step explanation:
-0.2(x - 20) = 44 - x
-0.2x + 4 = 44 - x (distribute the -0.2)
+ x + x
-----------------------------------------------------
0.8x + 4 = 44
- 4 - 4
-------------------------------------------------------
0.8x = 40 (divide by 0.8)
x = 50
The paragraph below comes from the rental agreement Susan signed when she opened her account at Super Video.
“All rentals are due back by midnight of the due date as printed on the transaction receipt. Any rental not received by midnight on the day it is due is subject to a late charge of $1.50 for each day it is late. Any rental not returned by the fifth day after the due date will be transferred to a sale. The Customer will then be required to pay the purchase price of the item in addition to five (5) days of late fees. The Customer will not be required to return the product once the total balance is paid.”
Both of Susan’s movies are three days late. According to her receipt, the purchase price of one of her movies is $12.00 while the purchase price for the other movie is $15.00. If she turns both of them in today, how much will Susan owe Super Video?
A) $4.50
B) $9.00
C) $27.00
D)$38.00
Answer:
$9
Step-by-step explanation:
(2 movies returned late)
3 days late
$1.50 per day late fee
equaling $4.50 per movie
TOTALING $9
TOTALING $9.00
Answer:
B) $9.00Step-by-step explanation:
Since its less than 5 days, Susan will have to pay only late charge fee for two movies for 3 days.
The amount to be paid:
3*2*$1.5 = $9Correct choice is B
Example 2. Yolanda's club has 40 members. Its
rules state that 80% of them must be present in
order to vote. At least how many members must
be present to have a vote?
Your teacher has 48 juice boxes and 64 candies for a Halloween party. Each student will receive the same amount of juice boxes / candies , and all juice boxes / candies must be used. What is the greatest number of students that can attend the party.
The table below represents the closing prices of stock TUV for the first five
days it was open. Using your calculator, what is the equation of exponential
regression that fits these data?
Day
1
2
3
4
5
Value
3.75
9.375
23.438
58.594
146.484
O A. y= 1.75 2.35*
OB. y= 2.5 3.5*
OC. y= 1.25.2.75*
OD. y= 1.5-2.5*
The equation of exponential regression that fits the data is given as follows:
y = 1.5(2.5)^x.
How to define an exponential function?An exponential function has the definition presented as follows:
y = ab^x.
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.To obtain the equation of exponential regression, we must insert the points of the data-set into a calculator.
The points are given as follows:
(1, 3.75), (4, 9.375), (3, 23.438), (4, 58.594), (5, 146.484).
Inserting these points into a calculator, the equation is given as follows:
y = 1.5(2.5)^x.
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What are the four stages of transformation?.
There are four common types of transformations -
translation
rotation
reflection
dilation.
Can someone tell me what the intersection on the line is ??
* If u dont know please dont answer *
I need this like rn please helpp
The answer is a and hi momo
If f(x) = 4x − 6 and g(x) = 6x − 4, what is f · g?
Answer:
f · g = 24x² - 52x + 24
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOILFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 4x - 6
g(x) = 6x - 4
Step 2: Find f · g
Substitute in function values: f · g = (4x - 6)(6x - 4)Expand [FOIL]: f · g = 24x² - 16x - 36x + 24[Subtraction] Combine like terms: f · g = 24x² - 52x + 24