Answer:
A. [tex]f(n) =0.2n+4.8[/tex]
B. The y intercept is 4.8
Step-by-step explanation:
Given
[tex]a_n= 5 + 0.2(n-1)[/tex]
Solving (a): Write as a function.
To do this, we simply substitute f(n) for [tex]a_n[/tex]
[tex]a_n= 5 + 0.2(n-1)[/tex] becomes
[tex]f(n)= 5 + 0.2(n-1)[/tex]
Open Bracket
[tex]f(n) = 5 + 0.2n-0.2[/tex]
Collect Like Terms
[tex]f(n) =0.2n-0.2 + 5[/tex]
[tex]f(n) =0.2n+4.8[/tex]
B. The y intercept.
To get the y intercept, we set n to 0
i.e
[tex]f(0) =0.2 * 0+4.8[/tex]
[tex]f(0) =0+4.8[/tex]
[tex]f(0) =4.8[/tex]
Hence, the y intercept is 4.8
Find 4 solutions (in radians) of sine = 0.18.
9514 1404 393
Answer:
0.180986, 2.96061, 6.46417, 9.24379
Step-by-step explanation:
The first solution to ...
sin(x) = 0.18
is found by using the arcsine function:
x = arcsin(0.18) ≈ 0.180986
Additional positive values can be found by subtracting this angle from π, and by adding multiples of 2π to either of the values obtained so far.
π - 0.180986 ≈ 2.96061
Adding 2π to these gives two more values:
0.180986 +2π ≈ 6.46417
2.96061 +2π ≈ 9.24379
I need help answering this question
Answer:
[tex] x = 17 [/tex]
Step-by-step explanation:
Since line m is parallel to line n, therefore:
[tex] (6x + 5) + (5x - 12) = 180 [/tex] (consecutive interior angles are supplementary)
Solve for x
[tex] 6x + 5 + 5x - 12 = 180 [/tex]
Add like terms
[tex] 11x - 7 = 180 [/tex]
Add 7 to both sides
[tex] 11x - 7 + 7 = 180 + 7 [/tex]
[tex] 11x = 187 [/tex]
Divide both sides by 11
[tex] \frac{11x}{11} = \frac{187}{11} [/tex]
[tex] x = 17 [/tex]
At the MOA, 2 shakes and 3 hamburgers cost $17.00. If you order 3 shakes and 4 hamburgers the cost will be $24.00. What is the cost of each item? Answer quick plz
Answer:
Step-by-step explanation:
Let shakes be s and hamburgers be h. Then the total cost equation would be
2s + 3h = 17
The next equation in our system will be
3s + 4h = 24
You can solve this by either substitution or elimination. I'm going with substitution because it's easier in this platform to do so. I'm going to solve the second equation for h.
4h = 24 - 3s and
h = 6 - .75s
Now we will sub that into the first equation to get
2s + 3(6 - .75s) = 17 and
2s + 18 - 2.25s = 17 and
-.25s = -1 and
s = 4
That means that shakes cost $4 each. Now plug in 4 for s and solve for h:
h = 6 - .75(4) and
h = 6 - 3 so
h = 3 so hamburgers cost $3 each.
Please answer see the image!
Answer:
39 km²Step-by-step explanation:
surface area of a square pyramid
= Area of base + 1/2 base perimeter * slant height
= (3 x 3) + (1/2 x (3*4) x 5)
= 9 + 30
= 39 km²
Answer:
39Km²
Hope it's help you and Mark me as brainliest.
3. Josiah can jog 1 1/3 miles in 1/4 hour. Find his average speed in
miles per hour.
Answer:
51/3 miles in 1 hour
Step-by-step explanation:
I NEED HELP WITH THESE QUADRATIC FUNCTIONS PLEASE !!
Answer: Hey, I can help. Which problem?
Step-by-step explanation:
if
[tex] {3}^{ - x} = y[/tex]
solve
[tex] {3}^{3x + 1?} [/tex]
What is the slope of (-6, -5), (-1, 1)
Answer:
Slope =y2−y1x2−x10−3105−12−31092−310⋅1092⋅10−345−115
Step-by-step explanation:
Slope =y2−y1x2−x10−3105−12−31092−310⋅1092⋅10−345−115
Answer:
The slope is 6/5
Step-by-step explanation:
[tex]\frac{1-(-5)}{-1-(-6)} =\frac{6}{5}[/tex]
what is a possible step when solving for x? select all that apply
Today everything in store is on sale the store offers a 20% discount a regular T-shirt price is $18 what is the discount price
Answer:
14
Step-by-step explanation:
Answer:
$14.40
Step-by-step explanation:
18 x .2 = 3.6
18 - 3.6 = 14.40
What is the distance from -5 to 0?
A. 0, because |5| = 0
B. -5, because |-5| = -5
C. 5, because |-5| = -5
D. 5, because |-5| = 5
Answer:
D
Step-by-step explanation:
Answer:
D. 5, because |-5| = 5
Step-by-step explanation:
The balance in a checking account is $68 if 240 is deposit it find the new balance
Answer:
$308
Step-by-step explanation:
What are the cordinates of the image of the point (11,1)after a translation 10 units down followed by a reflection over the y-axis
Answer:
(-11,-9)
Step-by-step explanation:
translate 10 units down: y value: 1-10=-9
reflect over y-axis: x-value becomes opposite: 11 becomes -11
renting paddle boats for Lakeshore paddle boats costs $10 per hour plus a one-time fee of $4 renting paddle boats from Lake paddle are cost $12 per hour with no one time fee the cost to to arrange a paddle boats or depends on the number of hours rented which inequality represents the situation when the total cost at Lakeshore paddle boats is less than the total cost of wake paddler? asap please, thank you
Answer:
More than 2 hoursStep-by-step explanation:
Let number of hours be x
Lakeshore paddle cost:
10x + 4Lake paddle cost:
12xRequired inequality:
10x + 4 < 12x12x - 10x > 42x > 4x > 2Lakeshore paddle costs less when time of rent is greater than 2 hours
If f(x)=2x-4 find f(m+1)
Please help ASAP due in 5 days! Marking Brainliest!
Jill wants to graph the following equation, 4x - 2y = 12, on her graphing
calculator
She needs to solve fory and put the equation into slope intercept form
first.
Which of the following is correct?
O y = 4x - 15
Oy = x - 6
O y = 2x - 6
O y=-2x + 6
Answer:
y=2x-6
Step-by-step explanation:
when u arrange it you get y=4x-12 which simplified is the answer above
WHAT IS THE RIGHT ANSWER GIVING BRAINLIEST:)
Answer:
The answer is A.
Step-by-step explanation:
Because 9-2=7
Answer:
it's A
Step-by-step explanation:
Use the distance formula.
Solve for the indicated variable.
q = c4(h + r) for r
Select one:
a. r = 4cq - h
b. r = q4c - h
c. r = 4q−hc
d. r = 4qc - h
Answer:
Option (c) "[tex]r=\dfrac{q}{4c}-h[/tex]"
Step-by-step explanation:
The given equation is :
q = c4(h + r)
We need to solve it for r.
Dividing both sides of the given equation by 4c.
[tex]\dfrac{q}{4c}=\dfrac{4c}{4c}(h+r)\\\\(h+r)=\dfrac{q}{4c}[/tex]
Now, subtract h both sides of the equation.
[tex]h+r-h=\dfrac{q}{4c}-h\\\\r=\dfrac{q}{4c}-h[/tex]
Hence, this is the required solution.
An airplane flies 104 miles in 1/2 hour how far can it fly in 1 1/4 hours at the same rate of speed
Answer:
first one is right
Step-by-step explanation:
An archaeologist descends 20 feet into a canyon, then climbs up 12 feet. which value represents her final position? -32 feet, -12 feet, -8 feet or 8 feet
Answer:
-8 feet
Step-by-step explanation:
They descended 20 feet so it is -20 and then goes back up 12 feet to make it -8 feet
Answer:
-8 feet
Step-by-step explanation:
She descends 20 feet, meaning -20 feet.
She climbs up 12 feet, meaning -20 + 12 = -8
I hope this helped, please mark Brainliest, thank you !!
13 point worth question :) help me out
Answer:
3 2/3
Step-by-step explanation:
There are 3 wholes and 2/3 of a circle is filled.
What is the equation of a line with a slope of 1/2
that passes through the point, (-2,5) ?
The equation of a line is written as y = mx + b where m is the slope.
Replace M with the slope to get:
y = 1/2x + b
Now replace x and y with the given point to solve for b:
5 = 1/2(-2) + b
SImplify:
5 = -1 + b
Add 1 to both sides:
b = 6
The equation of the line is y = 1/2x + 6
What is the equation of the line that is perpendicular to the line y=-2x+10 and passes through the point (-8,12)?
Answer:
y=1/2x+16
Step-by-step explanation:
m= -2, mperpendicular = -1/2
y-12=1/2 * (x+8)
y=mx+b form
y = 1/2x+16
The annual profit P(t) of the Enviro Company, in thousands of dollars, is
given by
P(t) = 2+3 – 152++ 3400t + 30
where t is the number of years since 1960, the first year that the company
showed a profit.
Fill in the blanks below. All answers should be rounded to the nearest dollar.
Do not use commas in your solution.
The profit in 1960 was____ dollars.
Answer:
The profit in 1960 (i.e. year 1) was 3280 dollars
Step-by-step explanation:
Given
[tex]P(t) = 2t^3 - 152t^2 + 3400t + 30[/tex]
Where
t = years since 1960 (the first year)
Required
Determine the profit in 1960
Since the first year is 1960, then [tex]t =1[/tex]
To get the profit, we simply substitute 1 for t in [tex]P(t) = 2t^3 - 152t^2 + 3400t + 30[/tex]
[tex]P(t) = 2t^3 - 152t^2 + 3400t + 30[/tex] becomes
[tex]P(1) = 2(1)^3 - 152(1)^2 + 3400(1) + 30[/tex]
[tex]P(1) = 2*1 - 152*1 + 3400*1 + 30[/tex]
[tex]P(1) = 2- 152 + 3400 + 30[/tex]
[tex]P(1) = 3280[/tex]
Hence, the profit in 1960 (i.e. year 1) was 3280 dollars
Evaluate ( f g )(x) if f(x) = 3x2 + 3 and g(x) = 3x – 1 when x = 2.
Answer:
[tex](fg)(x) = 75[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3x^2 + 3[/tex]
[tex]g(x) = 3x - 1[/tex]
Required
Evaluate (fg)(x) for x = 2
In algebra functions
[tex](fg)(x) = f(x) * g(x)[/tex]
Substitute values for f(x) and g(x)
[tex](fg)(x) = (3x^2 + 3) * (3x - 1)[/tex]
Substitute 2 for x
[tex](fg)(x) = (3*2^2 + 3) * (3*2 - 1)[/tex]
[tex](fg)(x) = (3*4 + 3) * (6 - 1)[/tex]
[tex](fg)(x) = (12 + 3) * (5)[/tex]
[tex](fg)(x) = (15) * (5)[/tex]
[tex](fg)(x) = 15 * 5[/tex]
[tex](fg)(x) = 75[/tex]
4x+7=23. explain the steps you would use to solve the equation for x.
Answer:
x=4
Step-by-step explanation:
1. isolate the variable by subtracting 7 on both sides: 4x=23-7
2. simplify: 4x=16
3. divide both sides by 4: x=16/4
4. simplify: x=4
Answer:
x=4
Step-by-step explanation:
4x+7=23
Collect like terms
4x=23-7
4x=16
Divide both sides by the co-efficient of x
4x/4=16/4
x=4
Can somebody help me answer this mathematics question? I'm in precalculus, and this is the last homework question, but I am stumped. I tried asking on Quora, but I got an unclear answer and one that accused me of cheating because I asked. I could not understand the teacher's or the book's explanation on how to solve this problem.
"The cost of sending mail is $0.37 for a letter weighing less than 1 ounce, $0.60 for a letter weighing at least one ounce, but less than 2 ounces, and $0.83 for a letter weighing at least 2 ounces, but less than 3 ounces."
Write a function c(x) that gives the cost of mailing a letter weighing x ounces.
Answer:
Step-by-step explanation:
this is a piecewise function
in this context, to find the cost of any package weight x you figure out which piece of the function it fits in.
examples:
x = .5
c(x) = 0.37 (because x is less than 1)
x = 1
c(x) = 0.60 (because x is equal to 1 but still less than 2)
x = 2.9
c(x) = 0.83 (because x is more than 2 but less than 3)
Which is an equivalent expression?
17x (1 + y)
17x (1 – 2y)
17x (1 – y)
17x (1 + 2y)
Answer:
83521x4 (y+1) (-2y+1) (-y+1) (2y+1)
Step-by-step explanation:
Answer:17x(1–2y)
Step-by-step explanation:
8y=48? as a one step equation-integer.
Answer:
the answer is 6y
Step-by-step explanation:
you just divide by 8 and get 6 and add the variable for 6y
The solution of the equation 8y = 48 by combining like terms with the use of operations addition, division, etc is y = 6.
Used the concept of an equation that states that,
An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that the expression is,
8y = 48
Now simplify the expression by combining like terms with the use of operations addition, division, etc.
The expression is,
8y = 48
Divide both sides by 8,
y = 48/8
y = 6
Therefore, the solution is y = 6.
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