The piecewise function that models the scenario is:
c(x) = $3.75*x + $5 if x < 6
c(x) = $3.25*x + $5 if x ≥ 6.
How to write a piecewise function?
A piecewise function is a function that behaves differently in different intervals of the domain, like this one, where the cost per box changes depending on the number of box.
The function in this case, if we define x as the number of boxes bought, is:
c(x) = $3.75*x + $5 if x < 6c(x) = $3.25*x + $5 if x ≥ 6.Where the cost per box changes for x equal or larger than 6.
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Khalil has a game board as shown below, which is a square with 20 cm sides. The area of the largest circle is 314
square centimeters
What is the probability of scoring 1, 3, or 5 points with one randomly thrown dart?
O 50%
O 62.5%
O75%
O78.5%
Answer:
78.5
Step-by-step explanation:
The probability of scoring 1 , 3 or 5 points is 78.5% ( optionD)
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 and it's 100% in percentage.
probability is expressed as;
probably = sample space/total outcome
The area of the square is expressed as;
A = l²
= 20 × 20
= 400cm²
The area of the biggest circle is 314 cm²
The probability of scoring 1, 3 or 5
= 314/400 = 0.785
in percentage = 0.785 × 100
= 78.5%
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Suppose that 25 inches of wire costs 75 cents.
At the same rate, how much (in cents) will 21 inches of wire cost?
Answer:
73 cents
Step-by-step explanation:
first multiply 75×21 and you will get 1575 then divide 1575 by 25 and you get 73 which is 73 cents
Given f(x) = 3x2 + kx – 7, and the remainder when f (x) is divided by x – 4 is
81, then what is the value of k?
Answer:
-243
Step-by-step explanation:
{3׳ykx-7 incluye
I need help please help me
Method 1 :
replace x and y by their value 1 and 3
3 = 4(1) - 1 = 4-1 = 3
2(1) + 3 = 2 + 3 = 5
correct
Method 2 :
y = 4x - 1
2x + y = 5
y = 4x - 1
y = -2x + 5
y - y = 4x - 1 - ( -2x + 5 )
0 = 4x - 1 + 2x - 5
6x - 6 = 0
6x = 6
x = 6/6 = 1
y = 4x - 1
y = 4(1) - 1
y = 3
correct
Answer:
Yes the points (1,3) is the solution for the systems of equations that are shown
Step-by-step explanation:
y = 4x - 1
plug in the numbers
3 = 4(1) - 1
3 = 4 - 1
3 = 3 so this is correct
2x + y = 5
plug in the numbers
2(1) + 3 = 5
2 + 3 = 5
5 = 5
so that means the points are also a solution for BOTH
You have just inherited $150,261 from a trust that has matured. You would like to invest the total amount into an account that pays you an annual compounded interest rate of 9. 1%, and you would like to make annual withdrawals over the next 20 years such that by the end of this 20 year period, the amount remaining in the account will be zero dollars. Determine, from the given information, the amount of the annual withdrawals. Round to the nearest cent. A. $16,578. 03 c. $15,978. 10 b. $162,851. 31 d. $15,575. 98.
Answer:
C
Step-by-step
The amount of the annual withdrawals will be $16,574.24.
The given data in the problem is;
P = annual payment
PV= present value = $150,261
r= rate of intreast = 9.1% =9.1/100= 0.091
n = time period= 20
What is the formula for the annual payment ?[tex]P=\frac{r\times PV}{1-(1+r)^{-n}}[/tex]
[tex]P=\frac{0.091\times 150261}{1-(1+0.091)^{-20}}[/tex]
[tex]P=16754.24[/tex]
Therefore, the amount of the annual withdrawals will be $16,574.24.
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If Sam has 120 dollars to spent what will he use it on, 20 apples that cost $6 or 50 pears that cost $3 dollars
Answer:
50 pears = 3 dollars
Step-by-step explanation:
he would want to save as much as possible
what is the square root of 6
Abby is buying flower bulbs for her garden. She wants to buy the same number of tulips and daffodils. If tulip bulbs come in packs of 8 and daffodil bulbs come in packs of 4, what is the least number of each type of bulb Abby will need to buy?
16
lcm : 4= 4, 8, 12 , 16
8= 8 , 16
Sketch the graph of the function y=3 sin(2x)-1
Function: y = 3sin(2x) - 1
Find y-intercept:
y = 3sin(2x) - 1y = 3sin(2(0)) - 1y = -1Formula for minimum: m = A ‐ |B|
Minimum:
-1 - |3|-4=========
When y = -4
3sin(2x) - 1 = -43sin(2x) = -3sin(2x) = -12x = sin⁻¹(-1)2x =-450°, -90°, 270°, 630°x = -225°, -45°, 135°, 315°Formula for maximum: M = A + |B|
Maximum:
-1 + |3|2=========
When y = 2
3sin(2x) - 1 = 2sin(2x) = 12x = sin⁻¹(1)2x = -630°, -270°, 90°, 450°x = -315°, -135°, 45°, 225°Now we can plot the graph for the equation in range of -360° < x < 360°
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Answer:
[tex]y=A\sin(B(x+C))+D[/tex]
Amplitude = A
The height from the center line to the peak (or trough).
Period = (2π)/B
The horizontal distance from one peak to the next.
Phase shift = C
How far the function is shifted horizontally from its usual position.
(positive is to the left, negative is to the right).
Vertical shift = D
How far the function is shifted vertically from its usual position.
Parent function:
[tex]y=\sin(x)[/tex]
Therefore:
Amplitude = 1Period = 2πPhase shift = noneVertical shift = noneGiven function:
[tex]y=3\sin(2x)-1[/tex]
[tex]y=3\sin(2(x+0))-1[/tex]
Therefore:
Amplitude = 3Period = πPhase shift = noneVertical shift = -1**See attached images for how the parent function is transformed to the final function**
What is the sum of all integers between square root of 8 and square root 113?
Answer: The sum is____
The integers between square root of 8 and square root 113 are the numbers without decimal points
The sum is 52
How to detemine the sum?The square root of 8 is 2.82
The square root of 113 is 10.63
The integers between 2.82 and 10.63 are:
3, 4, 5, 6, 7, 8, 9 and 10
The sum of these integers is represented as:
Sum = 3 + 4+ 5+ 6+ 7+ 8+ 9 + 10
Evaluate the sum
Sum = 52
Hence, the sum is 52
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Rewrite each expression below using the Distributive Property :
a. 5 (2x + 1)
b. 34 (x - 1)
c. 9 (x + 3)
one trillion one hundred eighty-six billion two hundred million in number form
Step-by-step explanation:
1,186,200,000,000 in standard form
100 BRAINLY POINTS!!!!!!
A cell phone company charges its customers a flat fee of $60 each month for calls and texts, plus an additional $5.00 for each gigabyte of data used. What does the y-intercept of the function represent?
A. the flat fee for calls and texts
B. the cost for each gigabyte of data used
C. the total amount of a monthly bill with 1 gigabyte of data used
D. the total amount of a monthly bill with 2 gigabytes of data used
PLS HELP CUH
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
JUST HELP ME PLSSS
Now
Equation in slope intercept form
y=mx+bIf each GB be x
y=5x+60Here
yintercept=b=60Option A is correct
Type your answer into the box. Butter and flour are mixed in the ratio 2:3. Chris has 640 grams of butter and 880 grams of flour. How much more flour does he need?
Answer:
80 grams
Step-by-step explanation:
since butter & flour are in the ratio 2:3
2/5 = 640
then 3/5 = flour(?)
eliminate 5 since it is common so that
2= 640
3= x
cross multiply
x= 3 /2× 640
= 960
640 grams of butter needs to mix with 960grams of flour so that they can be in the ratio of 2:3
960-880 = 80
hence 80 more grams of flour are needed.
How much does it cost to buy 3 watering cans if each watering can costs $7.48?
Answer:
$22.44
Step-by-step explanation:
We can multiply the total number of watering cans being bought by the total cost of one watering can.
3 * 7.48 = 22.44
It will cost $22.44 to buy three watering cans.
Find the distance between the points 4,7 and -5,7
Answer:
9
Step-by-step explanation:
Horizontal line from 4 to -5.
Distance formula is: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
[tex](x_{1},y_{1}) = (4,7)\\(x_{2},y_{2}) = (-5,7)[/tex]
Thus let us plug in all the know values and solve:
[tex]\sqrt{(-5-4)^2+(7-7)^2} =\sqrt{(-9)^2} =\sqrt{81} = 9[/tex]
Thus the distance is 9
Hope that helps!
6) 5 mi
11 mi
7) 22 m
11 m
8) 22 yd
25 yd
Answer:
#6=perimeter=32 area=55
#7=perimeter=66 area=242
#8=perimeter=94 area=550
Step-by-step explanation:
5+5+11+11=32
5x11=55
22+22+11+11=66
22x11=242
22+22+25+25=94
22x25=550
Based on the lengths of the segments in the hyperbola below, how long is the dashed line? Show your work.
Check the picture below.
keeping in mind that the difference of the distances of d1 and d2 is always a consistent constant value, as you can see in the left-hand-side of the picture, if we keep on sliding on the hyperbolic line shrinking d2 from being slanted to be horizontal, once we put d1 and d2 on a horizontal line, as you see on the right-hand-side, if we subtract the pink line from the orange line, what's leftover is, yeap, you guessed it.
Chloe has taken four tests this semester. Her scores on the three tests are 87, 78, and 61. If her test average is 78.5, what is her grade on her 4th test?
n = last test
(87 + 78 + 61 + n) : 4 = 78,5
87 + 78 + 61 + n = 78,5 x 4
n = 314 - 226
n = 88
(За + 2b) (2а — b) HELP ME PLEASE
Answer:
6a^2 + ab - 2b^2
Step-by-step explanation:
[insert something smart]
What is the h concentration in a solution with a ph of 1.25? round to the nearest hundredth. × 10n m n=
The pH is the measure of hydrogen ion concentration in a solution. The hydrogen ion concentration at pH 1.25 is [tex]5\times 10^{-2}\ M[/tex].
How to calculate hydrogen concentration?The pH is the negative logarithmic value of the hydrogen ion concentration in the sample.
The pH can be expressed as:
[tex]\rm pH=-Log[H^+][/tex]
The hydrogen ion concentration can be given as:
[tex]\rm [H^+]=10^{-pH}[/tex]
The given pH is 1.25 The hydrogen ion concentration is given as:
[tex]H^+=10^{-1.25}\\H^+=0.05\ M\\h^+=5\times10^{-2}\ m[/tex]
The hydrogen ion concentration in the solution is .[tex]5\times 10^{-2}\ M[/tex]
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Answer:
1st blank is 5.62
2nd blank is -2
Step-by-step explanation:
Look at the image (top right corner)
4. Find the volume of the pyramid
Answer:
58 1/3 in³
Step-by-step explanation:
Volume of a square pyramid:
V = (1/3)a^2h (don't need the lateral lenght)
Ashton is solving the equation
3x + 7 = 16.
Which shows a step Ashton can
use to solve the equation?
a. 3x + 7 = 16 - 7
b. 3x + 7 - 7 = 16 - 7
c. 3x + 7 = 16 + 7
d. 3x + 7 + 7 = 16 + 7
PLEASE HELP
Answer:
B: 3x + 7 - 7 = 16 - 7
Step-by-step explanation:
B: 3x + 7 - 7 = 16 - 7
Answer:
[tex]\boxed{\sf{B. \quad3x + 7 - 7 = 16 - 7}}[/tex]
[tex]\boxed{\sf{x=3}}[/tex]
Step-by-step explanation:
Isolate the term of x from one side of the equation.
3x+7=16First, subtract by 7 from both sides.
⇒ 3x+7-7=16-7
Solve.
⇒ 16-7=9
Rewrite the problem down.
⇒ 3x=9
Divide by 3 from both sides.
⇒ 3x/3=9/3
Solve.
Divide the numbers from left to right.
⇒ 9/3=3
⇒ x=3
Therefore, the solution is x=3, which is our answer.So, the correct answer is B. 3x+7-7=16-7 (second option).I hope this helps you! Let me know if my answer is wrong or not.
I have to finish this before next week because of grades please thanks
Answer:
D
Step-by-step explanation:
A triangle has two sides of length 4 and 2. What is the smallest possible whole-number length for the third side?
Answer:
19
Step-by-step explanation:
A perpendicular line is constructed through angle B of Triangle ABC and intersects side AC at a 90° angle through
point D. Select the transformations that would justify that Trangles ABD = CBD. Select all that apply.
A. A reflection over BD that maps AB onto BC.
B. A translation along vector AC that maps point A onto point C.
C. A rotation about center B that maps BD of Triangle CBD onto BA.
D. A rotation about center D that maps BD of Triangle CBD onto AD and Angle BDC onto angle ADB.
E. A rotation about center D that maps CD onto AD. Then a reflection across AD that maps Angle ABD onto
Angle CBD.
Answer: E, A
Step-by-step explanation:
4.
Which expression is equivalent to x^4 – 2x^3 + x^2 ?
-
A. x²(x - 1)^2
B. x²(x + 1)^2?
C. (x + 9)(x - 9)
D. 2(x+ 3)(x - 3)
Answer:
Dont have an answer but maybe this will help
Step-by-step explanation:
Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
let f(x)=3x+4 and g(x)=2x-5 find (f-g)(x)
Step-by-step explanation:
find; (f-g)(x)
(f(x) - g(x))
f(x) = 3x + 4, g(x) = 2x - 5
3x + 4 - 2x + 5
x +9
Can someone explain to me how to use square root? How do I solve it? How do I use it? I'm not sure the right way to use square root and I have testing soon, so I wanted to know how to use it beforehand.
Answer: a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x. For example, 4 and −4 are square roots of 16, because 4² = ² = 16
The square of any number is always a positive number, so every number has two square roots, one of a positive value, and one of a negative value. For example, both 2 and -2 are square roots of 4.
A collectible car has been going up in price by 10% each year. if the car is already worth $29,000, how much will the car be
worth in 5 years?
The worth of the collectible car in five years if its value is going up by 10% every year would be $46,704.79
What is the worth of the car?If the value of the collectible car is increasing with time, it is said that the collectible car is appreciating in value.
The formula for calculating future value with appreciation:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of years$29,000(1.1^5) = $46,704.79
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