Answer:
$240
Step-by-step explanation:
A year has 12 month in it so lets multiply the 10 by 12 which is $120,Mean a year is $120 so 2years will be $120×2 which is $240
Answer:
x+1/5x
Step-by-step explanation:
Because the eqaution would be x+10%=x+1/10+10%=1/5+x
Then the equation equals x+1/5
PLEASE HELP! much appreciated :D
Find the value of x.
Answer:
a
Step-by-step explanation:
The price of a car was decreased from $13,000 to $11,830. The price is decreased by what percentage?
Answer:
It is decreased by 9%
Step-by-step explanation:
First, find out how much money is decreased. To do this, subtract 13,000-11,830=1170. Finally, figure out how much percent 1170 is of the original price of $13,000.
The answer is 7%.
Hope this helps :)
work out the value of (4√2)^2
Answer:
32
Step-by-step explanation:
(4[tex]\sqrt{2}[/tex] )²
= 4[tex]\sqrt{2}[/tex] × 4[tex]\sqrt{2}[/tex]
= 4 × 4 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex]
= 16 × 2
= 32
Shelley sells 5 bone shaped treats for $3.50. How much should she charge for a package of 12 treats?
Which proportion is needed to solve the problem?
!HELP PLEASEEE! For this problem I thought it meant to subtract 0.1492 - 0.1515 = -0.0023 however my answer was incorrect. How do I solve this problem then? Help Please!
Zane wants to enlarge two of his photos to frame on his bedroom wall. He has 184 photos from rock concerts he's been to and 88 photos of city
skylines
How many possible combinations of 1 rock concert photo and 1 city skyline photo could Zane choose from?
Answer:
B
Step-by-step explanation:
184*88=16,192
Ophelia is making homemade spaghetti sauce by combining 48 oz of tomato paste with 6 cups of water.how many cups of water are needed for every ounces of tooth paste
1 cup per 8 oz
48/6 = 8
every 1 cup of water 8 oz of tomato paste.
Math IIIB Performance Task: Piecewise-Defined Functions
Question Set 2
A parking garage charges the following amounts for cars parked in the garage:
For the first hour that a car is parked in the garage, there is no charge.
After the first hour, for the next two hours that a car is parked in the garage, there is a $5 charge.
After the third hour, the garage charges $2 for each additional hour that the car is parked in the garage. If a car is parked in the garage for a fraction of an hour, the garage will charge that fraction of the additional hourly rate.
Use the information provided about the parking garage to answer each of the following questions. Refer to the responses you submitted for Question Set 1 for support.
Sketch a graph to model the total cost of parking in the garage over the domain [0, 12]. (10 points)
Write the piecewise-defined function for the total cost of parking in the garage. That is, state the function C(x), where x is the number of hours a car is parked in the garage. (10 points)
The parking garage plans to change the structure of how much it charges for cars that park in it. A graph of the new total cost is shown below. Describe in detail the new structure. (10 points)
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Explanation:
a) see the attachment for a graph (red curve)
__
b) The piecewise defined function can be ...
[tex]\displaystyle C(x)=\begin{cases}0&0\le x\le 1\\5&1<x\le 3\\2x-1&3<x\le12\end{cases}[/tex]
__
c) The new cost function is ...
[tex]\displaystyle C(x)=\begin{cases}10&0\le x\le5\\x+5&5<x\end{cases}[/tex]
The charge is a flat $10 for any period up to 5 hours, then $1 per additional hour after that, prorated for partial hours. There is apparently no upper limit on parking time as there was with the original function. (The graph shown goes beyond 15 hours; the domain of the original C(x) is 0 to 12 hours.) For reference, the new cost structure is shown in blue in the attachment.
_____
Additional comment
Under the new structure, costs are significantly higher for short-term parking, and lower once the term exceeds 6 hours.
when A = 300, solve the equation
[tex] {x }^{2} - 40x + a = 0[/tex]
Answer:
Solution given:
a=300
and equation is:
x²-40x+a=0
when a=300
x²-40x+300=0
making it a perfect square
x²-2*20x+20²-20²+300=0
(x+20)²-400+300=0
(x+20)²=100
x+20=±10
taking positive
x+20=10
x=10-20
x=-10
taking negative
x+20=-10
x=-10-20
z=-30
when A=300
x=-10 or -30
Which expression is equivalent to 7x , if b > 0?
Work Shown:
[tex]7x^2*\sqrt{2x^4}*6\sqrt{2x^{12}}\\\\7*6x^2*\sqrt{2x^4*2x^{12}}\\\\42x^2*\sqrt{4x^{4+12}}\\\\42x^2*\sqrt{4x^{16}}\\\\42x^2*\sqrt{(2x^8)^2}\\\\42x^2*(2x^8)\\\\42*2x^{2+8}\\\\84x^{10}\\\\[/tex]
So that's why the answer is choice C
The requirement that x is nonzero isn't technically necessary. The original expression simplifies to choice C even when x = 0 is the case. Also, we don't have issues such as division by zero errors that could arise. It's a bit curious why your teacher put in that condition.
Answer:
C.
Step-by-step explanation:
7x²×sqrt(2x⁴)×6×sqrt(2x¹²)
we see right away that as constant multiplication factor we have 7×6 = 42.
and then we get from each sqrt expression a sqrt(2), which leads to sqrt²(2) = 2 and therefore 42×2=84.
the only answer option with 84 is C.
now, to be completely sure, and to get some practice, let's look at the other parts :
sqrt(2x⁴) = sqrt(2)×sqrt(x⁴) = sqrt(2)×x²
sqrt(2x¹²) = sqrt(2)×sqrt(x¹²) = sqrt(2)×x⁶
=>
7x²×sqrt(2)×x²×6×sqrt(2)×x⁶ =7×6×2×x²×x²×x⁶ = 84x¹⁰
perfect. C is confirmed.
Write the equation of the line for the graph shown below.
Answer:
The answer is C
Step-by-step explanation:
y=-5x-3
Hope this helped
Answer:
I believe the answer is y = -5x -3
Step-by-step explanation:
The formula is y=mx+b
m= rise over run
b= starting point
and seeing how the dot is on -3 I assume that the answer is y= -5x -3
also m should be in fraction form and if it isn't, you automatically put a 1 as the denominator.
A baseball is projected upward at 64 feet per second. It can be approximated by the equation -16t^2+64t. The baseball reaches it maximum height at the vertex. That can be gotten from x= −/2a . How long until the baseball reaches its full height? Note a quadratic equation can be written as ax^2+bx+c
Answer:
f(t) = -16t²+64t
t = number of secondsf(t) = height (in feet)The x-coordinate(t) of the vertex can be found using formula [tex]\frac{-b}{2a}[/tex], where:
a = -16b = 64Therefore the t-value of the vertex is:
[tex]\frac{-64}{2(-16)} =\frac{-64}{-32} =2[/tex]
The baseball will reach its maximum height after two seconds.
In ABC, M2A = 55°, c = 11, and m2B = 19º. Find the perimeter of the triangle.
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Answer:
24.1
Step-by-step explanation:
The third angle is C = 180° -55° -19° = 106°. The law of sines can be used to find the other two sides:
a/sin(A) = c/sin(C) ⇒ a = c(sin(A)/sin(C))
b/sin(B) = c/sin(C) ⇒ b = c(sin(B)/sin(C))
Then the sum of the lengths of the sides is ...
P = a + b + c = c(sin(A)/sin(C)) +c(sin(B)/sin(C)) +c
= c(1 +(sin(A) +sin(B))/sin(C)) = 11(1 +(0.8192 +0.3256)/0.9613)
≈ 11(1 +1.1909) ≈ 24.0994
The perimeter of the triangle is about 24.1 units.
Is the relationship shown by the data linear? If so, model the data with an equation.
Singh's house the weekly consumption of milk is 6.5 liters what is their daily consumption of milk if they consume same quantity of milk every day
Answer:
Their daily consumption of milk is of 0.93 liters.
Step-by-step explanation:
Weekly consumption:
6.5 liters.
Daily consumption:
A week has 7 days.
Each day the amount consumed is the same, so the daily consumption is:
6.5/7 = 0.93
Their daily consumption of milk is of 0.93 liters.
Does the graph below represent a proportional relationship?
———————————————
A. Yes, because the graph is a straight line
B. No, because it crosses the y -axis
C. Yes, because it crosses the y -axis
D. No, because the line doesn't pass through the origin, point (0,0)
Answer: D. No, because the line doesn't pass through the origin, point (0,0)
Explanation:
A direct proportional graph is always a straight line through the origin.
Algebraically, the form of any direct proportion equation is y = kx, where k is some constant. It plays the role as the slope.
We can rewrite y = kx as y = kx+0 to see that the y intercept is always 0 for these types of equations.
Unfortunately, this line shown has a y intercept of 2 instead of 0. So it's not a direct proportion.
Given the following linear function, sketch the graph of the function and find the domain and range.
f(x) = -5x+ 4
Answer:
There don't seem to be any limits/asymptotes to the function.
Domain = (-∞ , ∞ ), {x|x ∈ R }Range = (-∞ , ∞ ), {x|x ∈ R }The graph would look something similar to this:
simplify 4x + 3y - 2x
Answer:
2x+3y
Step-by-step explanation:
4x + 3y - 2x
Combine like terms
4x-2x +3y
2x +3y
what are the solutions to the quadratic equation (5y + 6)² = 24
Answer:
no solution
Step-by-step explanation:
25y² +36 = 24
(5y + 6) (5y + 6)
roots -6/5, -6/5
solution is always a positive root
Mr. Olaffsen opened a sandwich shop and a smoothie stand in his neighborhood.
The following table and equation show function f, representing Mr. Olaffsen's profit, in dollars, x months since opening the sandwich shop.
x 1 2 3 4 5 6 7
f(x) 12,000 15,500 18,000 19,500 20,000 19,500 18,000
The following table and equation show function g, representing Mr. Olaffsen's profit, in dollars, x months since opening the smoothie stand.
x 1 2 3 4 5 6 7
g(x) 9,300 12,000 14,100 15,600 16,500 16,800 16,500
Select the true statement.
A.
The difference between the maximum profit earned by the sandwich shop and the smoothie stand is $3,200.
B.
The difference between the maximum profit earned by the sandwich shop and the smoothie stand is $3,500.
C.
The difference between the maximum profit earned by the sandwich shop and the smoothie stand is $3,000.
D.
The difference between the maximum profit earned by the sandwich shop and the smoothie stand is $2,700.
Answer: the difference between the max is 3,200.
Step-by-step explanation:
20,000-16,800= 3,200
Answer:
the difference between the max is 3,200.
Step-by-step explanation:
20,000-16,800= 3,200
Look at the numbers below. −9.8 −5.4 1.0 14.8 Which shows the best way to add these numbers using the Commutative and Associative Properties? A. (–9.8 + 1.0) + (–5.4 + 14.8) B. (–9.8 + 14.8) + (–5.4 + 1.0) C. (1.0 + 14.8) + (–9.8 + (–5.4)) D. (1.0 + (–9.8)) + (14.8 + (–5.4)
Answer:
B
Step-by-step explanation:
i did the test and it was correct, ur welcome
What is the remainder of 119 divided by 4
The remainder when dividing 119 by 4 is 3.
We have,
To find the remainder when dividing 119 by 4, we perform the division and observe the remainder.
When we divide 119 by 4, we get:
119 ÷ 4 = 29 remainder 3
The quotient is 29, which means that 4 goes into 119 twenty-nine times without any remainder.
However, there is a remainder of 3.
Therefore,
The remainder when dividing 119 by 4 is 3.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
Which sets of ordered pairs show equivalent ratios? Use the grid to help you.
Check all that apply.
A: (1, 2), (2, 3), (4, 7)
B: (2, 2), (4, 4), (6, 6)
C: (3, 1), (4, 1), (5, 1)
D: (4, 1), (8, 2), (12, 3)
E: (2, 1), (4, 3), (5, 4)
Answer:
B and D
Step-by-step explanation:
in B the ratio of x/y = 1 for all pairs.
in D the ratio of x/y = 4 for all pairs.
in all other sets there are different ratios inside the set.
Answer:
The pairs (2, 2), (4, 4), and (6, 6) have ratios of 1 and the pairs (4, 1), (4, 1), (8, 2), and (12, 3) have ratios of 4. The other pairs do not have similar ratios.
Step-by-step explanation:
Step 1; In order to pair up the pairs with equivalent rations, we first need to calculate the ratios for all the pairs by dividing the first value with the second value. The same procedure must be followed throughout to be able to pair them up.
Step 2; By dividing the values, the ratios are;
For (1, 2), the ratio is = 0.5,
For (2, 3), the ratio is = 0.6666,
For (4, 7), the ratio is = 0.5714,
For (2, 2), the ratio is = 1,
For (4, 4), the ratio is = 1,
For (6, 6), the ratio is = 1,
For (3, 1), the ratio is = 3,
For (4, 1), the ratio is = 4,
For (5, 1), the ratio is = 5,
For (4, 1), the ratio is = 4,
For (8, 2), the ratio is = 4,
For (12, 3), the ratio is = 4,
For (2, 1), the ratio is = 2,
For (4, 3), the ratio is = 1.333,
For (5, 4), the ratio is = 1.25.
Step 3; Now we pair up the sets with the same ratios, out of these 15 pairs. The pairs (2, 2), (4, 4), and (6, 6) have ratios of 1 and the pairs (4, 1), (4, 1), (8, 2), and (12, 3) have ratios of 4. The other pairs do not have similar ratios.
I hope this is right and it helps you !!!!!!!!!!
Find the value of x on this triangle
Answer:
33
a2+b2 =c2
a2+ 33 squared = 55 squared
a + 1936 = 3025
3025-1936=1089
square root of 1089 is 33
pleeeaaasssseeee mark as brainliest
Draw the image of the rotation of quadrilateral SORT by 270° about the origin.
I need visual help, not a number answer please :)
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Answer:
see attached
Step-by-step explanation:
A rotation 270° CCW is the same as a rotation 90° CW. To see what the figure looks like in its new location, make a copy on a semi-transparent medium, then align the +x axis on the copy with the -y axis on the original graph, keeping the origin in the same place.*
Algebraically, the transformation is ...
(x, y) ⇒ (y, -x)
For example, ...
S(7, -6) ⇒ S'(-6, -7)
In the attachment, the rotated figure is in red.
_____
* The exercise of physically doing this on paper or with transparencies can give you the insight you need to learn to do it mentally.
⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆
THAT IS THE RIGHT ANSWER
Find the missing length indicated
Answer:
x = 15
Step-by-step explanation:
prove ||a+b|| ≤ ||a||+|b||
Step-by-step explanation:
|a+b|=✓(a²+b²)
|a|+|b|=a+b
||a+b|| ≤ ||a||+|b||
What is the least possible degree of a polynomial that has the root -3 + 2i, and repeated root -2 that occurs twice?
4
3
2
5
Answer:
4
Step-by-step explanation:
complex roots always occur in pairs.
so roots are -3+2i,-3-2i ,-2,-2
number of roots=4
Please help me…………….
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Answer:
54.8 km
Step-by-step explanation:
The sketch and the applicable trig laws cannot be completed until we understand what the question is.
Given:
two boats travel for 3 hours at constant speeds of 22 and 29 km/h from a common point, their straight-line paths separated by an angle of 39°
Find:
the distance between the boats after 3 hours, to the nearest 10th km
Solution:
A diagram of the scenario is attached. The number next to each line is the distance it represents in km.
The distance (c) from B1 to B2 can be found using the law of cosines. We can use the formula ...
c² = a² +b² -2ab·cos(C)
where 'a' and 'b' are the distances from the dock to boat 1 and boat 2, respectively, and C is the angle between their paths as measured at the dock.
The distance of each boat from the dock is its speed in km/h multiplied by the travel time, 3 h.
c² = 66² +87² -2·66·87·cos(39°) ≈ 3000.2558
c ≈ √3000.2558 ≈ 54.77
The boats are about 54.8 km apart after 3 hours.
?????????????????????
Answer:
[tex]g(x)=x+6[/tex]
Step-by-step explanation:
The problem gives one the following information:
[tex]h(x)=(f\ \ o\ \ g)(x)\\\\h(x)=\sqrt[4]{x+7}\\f(x)=\sqrt[4]{x+1}[/tex]
This problem now requires one to find the function ([tex]g(x)[/tex]).
The format:
[tex](f\ \ o\ \ g)(x)[/tex]
Is another way of writing a composition of a function. In essence, it indicates this operation:
[tex](f(g(x))[/tex]
This means that one has to input one function into another. In other words, substitute one function into another in place of the variable, then simplify and solve to find the new function that is derived from this operation. Since it is given that ([tex]h(x)[/tex]) is the function resulting from the composition of ([tex]f(g(x))[/tex]), an equation can be formed. Treat the evaluator ([tex]g(x)[/tex]) as another variable. Then simplify and solve the equation to find the function that represents ([tex]g(x)[/tex]).
[tex]h(x)=f(g(x))[/tex]
Substitute,
[tex]h(x)=f(g(x))[/tex]
[tex]\sqrt[4]{x+7}=\sqrt[4]{(g(x)+1}[/tex]
Since both numbers are equivalent to each other when one takes the quartic root of the numbers, the numbers underneath the radical must be equivalent to each other. Therefore, one can state the following:
[tex]\sqrt[4]{x+7}=\sqrt[4]{(g(x)+1}[/tex]
[tex]x+7=(g(x))+1[/tex]
Inverse operations:
[tex]x+7=(g(x))+1[/tex]
[tex]x+7-1=g(x)\\[/tex]
[tex]x+6=g(x)[/tex]
