Answer:
A. $96.00, $38.40, $15.36
B. after 6 years
Step-by-step explanation:
An exponential function has the general form ...
y = (initial value) × (growth factor)^t
__
A.The growth factor is 1 more than the growth rate. Here, the "growth" is actually a decay at the rate of 60% per year, so the growth rate is -0.60. The initial value is $240. The value equation can be written ...
y = 240(1 -0.60)^t
We want the value after t=1, t=2, and t=3 years.
y = $240(0.4)^1 = $96 . . . value after 1 year
y = $240(0.4)^2 = $38.40 . . . value after 2 years
y = $240(0.4)^3 = $15.36 . . . value after 3 years
__
B.We want to find t when y < 1.
240(0.4)^t < 1
0.4^t < 1/240 . . . . . . . . . . . . divide by 240
t × log(0.4) < log(1/240) . . . take logs
t > log(1/240)/log(0.4) . . . . . . . inequality reverses because log(0.4) < 0
t > 5.98
The bike will be worth less than $1 after about 6 years.
_____
Additional comment
For part A, we have shown the values after 1, 2, and 3 years. The expressions are shown on the same line preceding the value.
The perimeter of an equilateral triangle is p and the length of a side is s.
The formula for s is s = p = 3
Find the length of a side when the perimeter is 21 cm. = cm
Write down a formula for p in terms of s. p =
Answer:
s=7
p=3s
Step-by-step explanation:
The perimeter is the side length times 3
So the equation would be p=3s
Plug in 21 for p
21=3s
That means s=7
1) d= 7.4 mm
Calculate the area of the circle.
2) r=2.2 yd.
Calculate the circumference of the circle.
3) d = 5 cm
Calculate the circumference of the circle.
4) d = 6 m
Calculate the circumference of the circle.
5) r = 2.1 m
Calculate the area of the circle.
6) r=1.3 mm
Calculate the circumference of the circle.
Answer:
1. 43.01 mm²
2. 13.82yd
3. 15.71cm
4.18.85m
5. 13.85m²
6. 8.17mm²
Step-by-step explanation:
/ means divided by
* means multiplied by
radius is half of a diameter
circumference of a circle is pi multiplied by diameter
area of a circle is pi multiplied by radius squared
1. radius is 7.4 divided by 2 which is 3.7
radius of 3.7 squared is 13.69
pi multiplied by 13.69 is 43.01
2. diameter is radius times 2
2.2 times 2 is 4.4
ℼ * 4.4 = 13.82
3. pi*5=15.71
4. pi*6=18.85
5. 2.1*2.1 = 4.41 -> pi*4.41 = 13.85
6. 1.3*2= 2.6 -> pi*2.6=8.17
A. Directions/Instructions:
Given
Solution (3 points)
Final Answer (1 point)
Ex. : 5ab( 4a3 + 2ab - 3b4)
=5ab( 4a3 + 2ab - 3b4)
=20a4b+10a2b2-15ab5
=20a4b+10a2b2-15ab5
1. (6k + 5)(5k + 5)
2. (a2+6a-4)(2a-4)
3. (4x2-5x-21)÷(x-3)
Perform the operation on the following algebraic expressions and apply the laws of exponents. (3 points)
B. Directions/Instructions:
Perform the operation on the following algebraic expressions and apply the laws of exponents. (3 points)
Given
Solution (2 points)
Final Answer
Example: 8c52d42
=8c52d42
=64c104d8
=16c10d8
1. (4x5y3)2
2. 18c8(-2c)2
3. 3a2bab24ab2c3c
Answer:
Hope the pictures will help. I have done what I knew
Please help me! There is a picture.
Answer:
A. is the answer because 1/2 x 20 will equal 40 gallons
What is the value of s
O-1
0 0
O 1
O no solution
Answer: -1
Step-by-step explanation:
A hole-punch machine is set to punch a hole 1. 84 centimeters in diameter in a strip of sheet metal in a manufacturing process. The strip of metal is then creased and sent on to the next phase of production, where a metal rod is slipped through the hole. It is important that the hole be punched to the specified diameter of 1. 84 cm. To test punching accuracy, technicians have randomly sampled 12 punched holes and measured the diameters. The data (in centimeters) follow. Use an alpha of. 10 to determine whether the holes are being punched an average of 1. 84 centimeters. Assume the punched holes are normally distributed in the population. 1. 81 1. 89 1. 86 1. 83 1. 85 1. 82 1. 87 1. 85 1. 84 1. 86 1. 88 1. 85
Using the t-distribution, as we have the standard deviation for the sample, it is found that it can be concluded that the holes are being punched an average of 1. 84 cm.
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 1.84 cm, that is:
[tex]H_0: \mu = 1.84[/tex]
At the alternative hypothesis, it is tested if the mean is different of 1.84 cm, that is:
[tex]H_1: \mu \neq 1.84[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.Considering the hypothesis and the given sample, it is found that the parameters are as follows:
[tex]\overline{x} = 1.85, \mu = 1.84, s = 0.0235, n = 12[/tex].
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{1.85 - 1.84}{\frac{0.0235}{\sqrt{12}}}[/tex]
[tex]t = 1.47[/tex]
What is the decision?Considering a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.1 and 12 - 1 = 11 df, the critical value is of [tex]|t^{\ast}| = 1.7959[/tex]
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis and it can be concluded that the holes are being punched an average of 1. 84 cm.
More can be learned about the t-distribution at https://brainly.com/question/16313918
3/5 - 4 - x=0 i need hlp with this
Power Up Test Practice
15. The table shows the money raised by each type of booth
at a craft sale. The mean amount raised per booth was $50
How much money was raised by the T-shirt booth? Explain
how you found your answer.
Martin Gai Sande
Answer: 26
Step-by-step explanation: Add all the booths together and you will get 300. You will get 300 because the t-shirts booth is $26. Now divide 300 by how many booths there are, which is six. And your mean will be 50.
No links! Will give 20 points.If Q(4,2) is reflected in the y-axis what will be the coordinate of Q'.
Answer:
B
Step-by-step explanation:
Given a+b=7 and a-b=3, find the following
3^a÷3^b
Answer:
27
Step-by-step explanation:
a + b = 7
a - b = 3
2a = 10
a = 5
b = 7 - 5
b = 2
3⁵ / 3² = 3³ using law of indices
3³ = 27.
Answer:
27
Step-by-step explanation:
a + b = 7
a - b = 3
2a = 10
a = 5
b = 7 - 5
b = 2
3⁵ / 3² = 3³ using law of indices
3³ = 27
Can someone help me? Image is down below
Answer:
0.3 ft DISCLAIMER
Step-by-step explanation:
DISCLAIMER: I am not 100% sure if I am correct. I think I am but there is a chance I am not. I just thought ONE answer would be better than none. Feel free to disregard this if you don't want to try.
If you multiply the starting height (4.5 ft.) by .73 (73%) then you would get the second bounce. I just did that until I got to the 10th bounce and rounded it to the nearest tenth which ended up being 0.3
PLEASE HELPPPP
Jason observed a series of circles and saw the following pattern. What color will the next circle be?
red, blue, green, green, red, blue, green, green, ...
- yellow
- red
- green
- blue
Answer:
Red
Step-by-step explanation:
Hope it helps :)
What is the general equation of a sine function with an amplitude of 2, a period of Pi and a horizontal shift of Pi units? y = 2 sine (2 (x minus pi)) y = 2 sine (4 (x pi)) y = sine (0. 5 (x minus pi)) y = sine (2 (x pi)).
The general equation of the sine function is [tex]\rm y= 2sin(2(x-\pi)[/tex]. The sine and cosine of an acute angle are utilized to find the angle of the triangle.
What is sin function?The sine and cosine of an angle are trigonometric functions. In the context of a right triangle, the sine and cosine of an acute angle are used to find the angle of the triangle.
The standard general equation of a sine function is given as;
[tex]\rm y= AsinB(x-C)+D[/tex]
Where A denotes the amplitude, B is the frequency, D is the vertical shift and C is the phase shift.
The given data in the problem is;
A is the amplitude= 2
B is the frequency=2
D is the vertical shift =0
C is the phase shift.=[tex]\pi[/tex]
The general equation is found as;
[tex]\rm y= 2sin(2(x-\pi)[/tex]
Hence the general equation of the sine function is [tex]\rm y= 2sin(2(x-\pi)[/tex].
To learn more about the sin function refer to the link;
https://brainly.com/question/6826226
The diagram shows a plan for the rectangular house with an attached porch. The combined area of the house and the porch is 733ft2. What is the value of x? Show your work. The numbers are 59ft, 13ft, 6 ft, 7ft, 9ft is the porch, x ft
The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²
How to calculate area?
Combined area = big rectangle + smaller rectangle - triangle
Hence:
733 = (13 * (59 - x)) + (x * 9) - 0.5(9 - 7) * (x - 6)
733 = 767 - 13x + 9x - x + 6
x = 8 feet
The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²
Find out more on area at: https://brainly.com/question/25292087
zelma buys p pounds of bananas for 40 cents per pound. she pays the clerk with a $20 bills. The clerk Subtract The total cost of the banana from the $20 bill to determine the amount of change to give zelma. which expression represents the amount of change Zelma should received?
[tex]A.p-20
B.20-40p
C.20-0.40p
D.0.40p-20
Answer:
B
Step-by-step explanation:
The amount of change Zelma should receive is 20-0.40p, or 20 dollars minus the total amount of the bananas (each pound multiplied by 40 cents).
Answer: Simple the answer is c.
Step-by-step explanation:
First start out with 20 witch is a full number and subtract .40 p from 20
.40 is the cost of each banana and p is the amount of bananas that will be purchased.
which of these numbers is a solution of the inequality 3x>18?
Answer:
x>6
Step-by-step explanation:
3x>18
x>6
Any number over 6 can satisfy this inequality.
What is the value of x?
What is the value of angle G?
What is the value of angle D?
What is the value of angle F?
What is the value of angle E?
please help me Thanks
Answer:
See below ↓
Step-by-step explanation:
∠G = ∠E and ∠F = ∠D [opposite angles in a ║gm]3x + 11 = 5x - 92x = 20x = 10∠G = 5(10) - 9 = 41°∠E = 3(10) + 11 = 41°
Measures of the angles are equal 360° (total degree measure) - [∠G + ∠E]
360 - 82278∠F and ∠D = 1/2(278) = 139°Brian is the coach of the High School basketball team in Scooterville. His starting five players (Jason, Mike, Jim, Dave, and Frank) all vary in their speed, height, and shooting ability. Use the following information to answer the question(s).
- Mike and Jim are quicker and better shooters than Jason and Dave.
- No person is the best (e. G. , tallest, quickest, best shooter) at more than one category.
- One person was the worst (eg, shortest, slowest, and worst shooter) for all three categories
- Jason is the third tallest.
- Frank is the best shooter
- Jim is the second fastest.
- Jim is a better shooter than Mike.
Which player is the tallest?
From the given information, the tallest player is: Dave.
Who is a player?In sports, a player refers to an individual who takes part in a sports. It can be in football, rugby, badminton, lawn tennis, basketball, etc.
We can see from the above that Mike and Jim are faster and quicker shooters than Jason and Dave. Jim is the second fastest which means that Mike is the fastest. Since no person is the best (e.g. , tallest, quickest, best shooter) at more than one category, it then means that Dave is the tallest.
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Leslie earned $12 Friday, $20 Saturday, and $56 Sunday selling bracelets. If she sold each bracelet for the same amount of money what is the most she could charge for each bracelet?
Answer:
$4
Step-by-step explanation:
12÷4=3
20÷4=5
56÷4=14
AC, DF and YZ are straight lines and all angles are in degrees.
By first considering the angles
on line ABC, show that AC is
parallel to DF.
Answer:
ac is parallel to df because it doesn't intersect with each other
Solve the equation . 5x+17=42
Answer:
x = 5
Step-by-step explanation:
5x+17=42
5x + 17 - 17 = 42 - 17
Find the area of the shaded region. Round to the nearest tenth where necessary (1 decimal places).
A=
14 in
8 in
5 in
25 in
Answer:
5 in
Step-by-step explanation:
The area of a composite shape: area of the bigger shape - the area of the smaller shape.
In this case, the bigger shape is the shaded region, and the smaller shape is the unshaded region.
1) Shaded region (bigger shape): 2(area of a trapezium) + area of the rectangle.
Area of a trapezium: 1/2 x (a + b) x h, where a and b are parallel lines and h is the height. We have to times the answer by 2 because there are two trapeziums in the shaded region.
Area of a rectangle: l x w, where l is the length and w is the width.
Trapeziums
= 1/2 x (3 + 8) x 5.5 x 2
= 1/2 x 11 x 5.5 x 2
= 1/2 x 60.5 x 2
= 30.25 x 2
= 60.5
Rectangle
= 14 x 3
= 42
Area of the shaded region (bigger shape): trapezium + rectangle
= 60.5 + 42
= 102.5
2) Unshaded region (smaller shape):
Area of a trapezium: 1/2 x (a + b) x h, where a and be are the parallel lines.
= 1/2 x (14 + 25) x 5
= 1/2 x 39 x 5
= 1/2 x 195
= 97.5
3) Area of the bigger shape - the area of the smaller shape
= 102.5 - 97.5
= 5 in²
Use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If a triangle is not possible, enter IMPOSSIBLE in each corresponding answer blank. ) A = 55°, a = 10. 1, b = 12. 3
Case 1
B
C
c
Case 2
B
C
c
A = 55°, a = 10. 1, b = 12. 3
The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°
What is sine rule?
Sine rule is used to show the relationship between the sides and angles of a triangle. It is given as:
a/sinA = b/sinB = c/sinC
Where A,B,C are the angles and a,b and c are the opposite sides to the angles.
1)
A = 55°, a = 10. 1, b = 12. 3
10 / sin(55) = 12.3 / sinB
B = 86.01°
A + B + C = 180° (angle in triangle)
55 + C + 86 = 180
C = 39
10 / sin(55) = c / sin(39)
c = 7.68
The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°
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Krysta's soccer practice started at 7:45 A.M. on Saturday morning. The team practiced dribbling for 15 minutes and practiced shooting for 45 minutes. Then they played a scrimmage game for 30 minutes before practice ended. What time was it when Krysta's soccer practice ended?
please help asap tysm n ily
Total time used= 15+45+30=90 mins
Initial time=7:45
final time will be 1 hr 30 mins more than initial Time
final time= 9:15 am
Which shapes have two pairs of parallel sides
Answer:
a rhombus would have 2 pairs of parallel sides, or a parallelogram. (First image is parallelogram and second is rhombus)
Gobe weighs 53.6 kg. he wears shoes which weigh 450 gm and carries a school bag weighing 4.5 kg. if he stands on the scales in his shoes and carrying the school bag. what weight will be recorded?
Answer:
The key to this question is converting all the mass units to the same unit and adding them all up.
The only value that isn't consistent with the other units is 450 gm or grams.
Recall that 1 gram is equal to 0.001 kilo grams. So if you want to convert grams to kilograms you would multiply that amount by 0.001 or 1/1000
[tex]450gm * \frac{1}{1000} = 0.45kg[/tex]
Now let's add up all the masses.
[tex]53.6kg + 0.45kg + 4.5kg = 58.55 kg\\[/tex]
(Now a few footnotes here, that I considered but wasn't sure about. The answer asks for weight, but you're only given mass to work with. That would be fine, if the question asked you to convert it to SI weight units like Newtons, but there's no mention of that. And also I'm not sure if the question requires significant digits. But I'll continue the answer if you think so)
To convert this into weight in Newtons, multiply by 9.81 m/s^2
[tex]58.55kg*9.81m/s^2 = 574.3755 N\\\\= 5.7 * 10^2 N[/tex]
Need help math.............
Answer:
P=39
Step-by-step explanation:
8X6=48 there's already 9 so
48-9=39
so p=39
What is the product of (7 x 10^-5) x (5 x 10^-8)
(7 x 10^-5) x (5 x 10^-8) = ? x 10^?
Answer:
[tex]3.5\times10^-^1^2[/tex]
Step-by-step explanation:
[tex](7 \times 10^-5) \times (5 \times 10^-8)[/tex]
Evaluate
[tex](7 \times 5)\times(10^-^5\times10^-^8)[/tex]
[tex]35\times10^-^5^-^8[/tex]
[tex]35\times10^-^1^3[/tex]
[tex]35\times10^1\times10^-^1^3[/tex]
[tex]3.5\times10^1^-^1^3[/tex]
[tex]3.5\times10^-^1^2[/tex]
Thus, the answer is [tex]3.5\times10^-^1^2[/tex]
~Lenvy~
The volume,V, of any cube with a side length,s, can be determined using the formula V= as to the third power. what is the volume, in cubic centimeters, of a cube with a side length of 2.3 cm.
A.5.29
B.6.9
C.8.026
D.12.167
Answer:
D
Step-by-step explanation:
Volume of cube = s^3
volume = 2.3^3 = 12.167 cm^3
Sally and Will are very picky eaters. At the start of dinner, Sally pushed half of her peas onto Will's plate. Then, when their mom wasn't looking, Will pushed half of his peas onto Sally's plate. Finally, Sally once again pushed half of her peas onto Will's plate. When their mom said they would get no dessert if they didn't eat their vegetables, Sally had 25 peas on her plate and Will had 47 peas on his plate. How many peas did Sally have at first?
Considering the total of peas is 72, Sally's initial number of peas was 56.
What is the total of peas?Assuming the two brothers did not eat any peas, the total of peas both at the beginning and end is 72 peas.
25 + 47 = 72 peasBy the end, Sally has 25 peas and Will has 72 peas.
How many peas did Sally have before?Before the mother declared none of them would have dessert Sally had given Will half of her peas. This means 25 peas represent half of the peas:
25 x 2 = 50 peas 22 peas in Will's plate
Before this, Will had given Sally half of his peas
22 peas x 2 = 44 peas 28 peas on Sally's plate
Right before this, Sally gave Will half of her peas:
28 x2 = 56 peas 16 peas on Will's plate
Let's check this answer:
S= 56 W= 16 -Beginning
S= 28 W=44 - Sally gives Will half of her peas
S= 50 W=22 - Will gives sally half of his peas
S=25 W= 47 -Sally gives will half of her peas
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