Answer:
p(x) = 500(1.02)^x
Step-by-step explanation:
I took the test and got a 100.
The exponential function is p(x) = 500(1.02)×, option (D) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]
where a is a constant and a>1
We have the functions given in the options:
As we know the standard form of the exponential function is:
f(x) = a(b)×
The exponential function will increase or decrease exponentially.
From the option:
p(x) = 500(1.02)×
p(x) is an exponential function.
Thus, the exponential function is p(x) = 500(1.02)×, option (D) is correct.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ5
What is the solution of the system below?
x + 2y = 4
y=-2x - 1
Answer:Point form is (-2,3)
Equation form is x=-2y=3
Step-by-step explanation:
Ai Mi just started a running plan where she runs 12 miles the first week and then increases the number of miles she runs by 5% each week. If she keeps up this plan for 12 weeks, how many total miles would Ai Mi have run, to the nearest whole number?
Answer:
267 miles
please vote me brainliest. Thank you.
At the end of 12 weeks, Ai Mi has run 22 miles.
As mentioned in the question, Ai Mi just started a running plan where she runs 12 miles the first week and then increases the number of miles she runs by 5% each week.
What is an exponential function?The function which is in format f(x) =a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
here,
Let the total run be x, for 12 weeks
According to the question,
x = 12×(1 + 5%/100)¹²
x = 12(1.05)¹²
x = 21.55
x ≈ 22 miles
Thus, At the end of 12 weeks, Ai Mi has run 22 miles.
Learn more about exponential function here:
brainly.com/question/15352175
#SPJ2
What is the exact value of sin 11pi/6 radians?
Answer:
-0.5.
Step-by-step explanation:
2pi - 11pi/6 = pi/6
so the angle is in the fourth quadrant where the sine is negative.
pi/6 = 30 degrees and we know form the 30-60-90 triangle that sin 30 = 0.5,
therefore sin pi/6 = 0.5
and sin 11pi/6 = -0.5
The exact value of sin(11π/6) radians is -1/2 by using unit circle
To find the exact value of sin(11π/6) radians, we can use the unit circle and trigonometric identities.
The angle 11π/6 radians is in the third quadrant of the unit circle.
In the third quadrant, the sine function is negative.
We can find the reference angle by subtracting 2π (or 12π/6) from the given angle:
11π/6 - 12π/6 = -π/6
The reference angle is -π/6 radians.
In the unit circle, the coordinates for the angle -π/6 are (√3/2, -1/2). The y-coordinate represents the value of sine.
Therefore, the exact value of sin(11π/6) radians is -1/2.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ6
can you please help me i give you extra pointss
Answer:
(2,-2), (4,-2), (1,-4), (6,-4)
What is the answer to this question ?
Answer:
[tex]10x^{3}+x^{2} -1[/tex]
Step-by-step explanation:
Standard form means firstly you will combine like terms (which the problem has already done) and then rewrite the polynomial from greatest power to least power.
We have three separate parts to this polynomial:
-1 [tex]10x^{3}[/tex][tex]x^{2}[/tex]The part that has the greatest power is [tex]10x^{3}[/tex]. This is because the x is multiplied by a power of 3, which is the largest power given. Next up would be [tex]x^{2}[/tex]. Finally, -1 would come last.
Thus, the rewritten equation should look like this:
[tex]10x^{3}+x^{2} -1[/tex]
I hope this helps! If you have any questions about my work feel free to ask down in the comments!
help pleaseeee explain too if you can
Answer:
x=10
y=[tex]10\sqrt{3}[/tex]
Step-by-step explanation:
Since there is a 30 degree angle, it is a special right triangle, 30 60 90 triangle. The shorter leg represents "a," the longer leg represents "a√3", and the hypotenuse represents 2a.
The triangle has a hypotenuse of 20 and we are trying to find x and y. x=10 because x is the opposite side of 30 degrees and x is half of the hypotenuse. y=[tex]10\sqrt{3}[/tex] because we already know the x value and y is opposite of 60 degrees. As mentioned before, the longer leg represents a√3.
Hope this helps and have a good day.
HELP ITS DUE IN 20 MINUTESSSS
Answer:
first you have to order the numbers
8, 10, 13, 18, 23, 25, 26, 30
Median is between 18 and 23 so we add them then divide the sum by 2
Median: (18 + 23)/2 = 20.5
First Quartile is between 10 and 13 so we add them then divide the sum by 2
First Quartile: (10 + 13)/2 = 11.5
Third Quartile is between 25 and 26 so we add them then divide the sum by 2
Third quartile: (25 + 26)/2 = 25.5
Range: 30 - 8 = 22
Sorry I don't know how to draw a diagram on brainly
Which is the length of side AD?
A.1 unit
B.4 units
C.5 units
D.6 units
х
-4
-2
2
4
А
B
-2
-4
D
с
Answer:
C. 5 units
Step-by-step explanation:
Congruent yes or no
Congruent? _______
If so, what property? ________
Answer:
Step-by-step explanation:
Congruent by SSS ( three sides are equal in length).
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. What is C?
Answer:
C is 6.3
Step-by-step explanation:
We can apply the pythagorean theorum to find C.
A is 2, B is 6
A^2 + B^2 = C^2
2^2 + 6^2 = C^2
C^2 = 40
C = 6.32455532
Cam's Cupboard grocery store is having a sale on canned goods. Tiana decides to stock up
and purchases 12 cans of soup. During the sale, cans of soup sell for $0.55 les than full
price. Tiana pays a total of $13.20 for the cans of soup.
Which equation can you use to find the amount, f, each can of soup costs at full price?
0.55(f - 12) = 13.20
12(f - 0.55) = 13.20
0.55f - 12 = 13.20
12f - 0.55 = 13.20
How much does each can of soup cost at full price?
$
Answer:
1.65
Step-by-step explanation:
equation will be 12(f−0.55)=13.20
12f−6.6=13.20
12f = 19.8
f = 19.8/12 = 1.65
So, each can of soup at full price is $1.65.
What is the definition of a narrator?
A. The person who reads the story
B. The person who says all the dialogue
C. The person who writes the story
D. The person who tells the story
Answer:
D. The person who tells the story
Step-by-step explanation:
The narrator is the person telling the story, or the voice that an author takes on to tell a story.
The person who reads the story is simply a reader. They aren't narrating.
Someone who says all of the dialouge isn't a narrator either, because only saying the dialouge excludes the rest of the story. It's not telling the story.
The person who writes the story is the author, not the narrator.
Therefore, option D makes the most sense.
hope this helps!
The rectangle has an area 125 square inches find the length and width
Answer:
1 and 125, 5 and 25
Step-by-step explanation:
Any two numbers that multiply to 125 could be considered as the length and width. Because the formula is: A=wl.
Pls help me with this! Thank you! God bless you
Answer:
10) 5.34
11) 2 pack tooth pastes are more expensive
12) Neil
13) 300cm
14) 15cm
15) 448cm
16) 17cm = 170mm
5km = 5000m
17) 20cm = 200mm
Step-by-step explanation:
put as brainliest please
I already put explanation in answer
Answer:
10. $6.28
11. You can see that the 2-pack of toothpaste is more expensive.
12. Neil had more hair cut off, 2.53 > 2.35.
13. 300 centimeters.
14. The ceiling in the hall is 15 centimeters taller than the one in the classroom.
15. 112 centimeters.
16. 5 meters = 500 millimeters
5 kilometers = 5,000 meters
17 centimeters = 170 millimeters
17. 5 meters = 5,000 millimeters
20 centimeters = 200 millimeters
Step-by-step explanation:
10. 2.88 + 2.88 + 0.52 = 6.28
11. Already explained
12. Already explained
13. 1 meter is 100 times a centimeter.
14. 1 meter is 100 times a centimeter.
15. Half of 56 is 28. 4 times 28 is 112.
16. 1 meter is 1000 times a millimeter, 1 kilometer is 1000 times a meter, and 1 centimeter is 10 times a millimeter.
17. 1 centimeter is 10 times a millimeter, and 1 meter is 1000 times a millimeter.
find the distance between (5,5) and (8,1)
Answer:
5
Step-by-step explanation:
Imagine a triangle with two of the corner points being the points (5,5) and (8,1)
The length and width would be 3 and 4 to find the hypotenuse (distance) do
3^2+4^2=x^2
9+16=x^2
25=x^2
x=5
[tex]here \: is \: your \: answer...[/tex]
Step-by-step explanation:
Let (x1,y1) = (5,5) and (x2,y2) = (8,1)
By using distance formula,
[tex]d \: = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
[tex]d = \sqrt{ {(8 - 5)}^{2} + {(1 - 5)}^{2} } [/tex]
[tex]d = \sqrt{ {(3)}^{2} + {( - 4)}^{2} } [/tex]
[tex]d = \sqrt{9 + 16} [/tex]
[tex]d = \sqrt{25} [/tex]
[tex]d = 5 \: units[/tex]
Therefore, the distance between (5,5) and (8,1) is 5 units
The area of the circle above is 200.96 units? What is the circumference of the circle? Use a = 3.14.
Circumference = 2777
Area = 792
A. 50.24 units
B. 25.12 units
C. 100.48 units
D. 66.99 units
Answer:
50.24
Step-by-step explanation:
Area = 200.96
Let's find the raidus from the area formula.
200.96 = π · r^2
Divide both sides by π !
64 = r^2
square root both sides
r = 8.
Now since we know the raidus we can find the circumferewnce.
-
c=2πr
c=2*3.14*8
c= 50.24
What is 163.28 + 75.459 =
The expression 163.28 + 75.459 is a sum expression, and the result of 163.28 + 75.459 is 238.739
How to solve the expression?The expression is given as:
163.28 + 75.459
The expression is best solved using a calculator.
However, in the absence of a calculator, the following steps can be applied.
Expand each term
163.28 + 75.459 = 163 + 0.28 + 75 + 0.459
Reorder the terms
163.28 + 75.459 = 163 + 75+ 0.28 + 0.459
Add the decimals and integers
163.28 + 75.459 = 238.739
Hence, the result of 163.28 + 75.459 is 238.739
Read more about sum expressions at:
https://brainly.com/question/4344214
#SPJ1
You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1.5 feet, and the height will be 20 inches.
Part A
Find the volume of the fish tank in cubic inches.
The volume is
cubic inches.
Part B
Your math teacher tells you that your fish tank will have a capacity of about 976 cups. You have a total of 30 tropical fish. For them to flourish in a fish tank, there needs to be an average of 2 gallons of water for each fish.
Convert 976 cups to gallons.
976 cups equals
gallons.
Answer:
A. 14040 cubic inches
B. 61 gallons
Step-by-step explanation:
The volume of a cuboid is given by the formula ...
V = LWH
__
A.One yard is 36 inches, so 1 yard 3 inches is 36 +3 = 39 inches.
One foot is 12 inches, so 1.5 ft = 1.5×12 = 18 inches.
The volume of the fish tank is ...
V = (39 in)(18 in)(20 in) = 14,040 in³
The volume is 14,040 cubic inches.
__
B.One gallon is 16 cups, so 976 cups is 976/16 = 61 gallons.
976 cups equals 61 gallons.
_____
Additional comment
One gallon is 231 cubic inches, so the volume of the tank is actually about 972 cups, or 60.8 gallons.
A long distance race begins with 28 runners from Team A and 28 runners from Team B. 4 runners from Team A and 12 runners from Team B do not finish the race. What percentage of the runners who finish the race are from Team B?
The percentage of the runner from team B that finishes the race is 21.4%
How to find the percentage that finish the race from team B?
Team A and Team ran a race. Team A had 28 runners and Team B also had 28 runners.
4 runners from team A finishes the race while 12 runners from team B finishes the race.
Therefore, the percentage from team B that finishes the race can be calculated as follows.
percentage from team B that finishes = 12 / 56 × 100
percentage from team B that finishes = 1200 / 56
percentage from team B that finishes = 21.4285714286
percentage from team B that finishes = 21.4%
learn more on percentage here: https://brainly.com/question/13471766
#SPJ1
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
Answer:
52
Step-by-step explanation:
180-128
Answer:
the answer is 28 degrees
Step-by-step explanation:
all you do is subtract 180-128 since this is a supplementary angle and not a complimentary one.
Find HK using proportions and Pythagorean theorem
Check the picture below.
The sum of two numbers is -24. if one of them is -12, find the other number.
Answer:
-12
Step-by-step explanation:
Answer:
let the unknown number be 'x'
x + (-12) = -24
x = -24+12
x = -12
The sum of twice a number and 4 times another number is 4. The first number decreased by the
econd number is 5. Find the numbers.
Answer:
4 and -1
Step-by-step explanation:
Let :
First number = xSecond number = yEquations formed :
2x + 4y = 4 ⇒ x + 2y = 2x - y = 5Subtract : Equation 1 - Equation 2
x + 2y - x + y = 2 - 53y = -3y = -1x - (-1) = 5x + 1 = 5x = 4The numbers are : 4 and -1
Express the d= rt in terms of the time, t. Use the formula to find the time when the distance is 40 and the rate is 8.
Answer:
5
Step-by-step explanation:
Divide the expression by r on both times; d/r=rt/r. You'll remain with t=d/r.
then substitute t=40/8 which equals to 5.
All trapezoids are also_____________________. a. squares c. rectangles b. parallelograms d. quadrilaterals
Answer:
The answer is D. quadrilaterals
Step-by-step explanation:
All trapezoids are squares. If a shape is a square, then it is also a rectangle and a rhombus. A trapezoid is a quadrilateral with exactly one set of parallel sidesPls help me with this math equation
For F(x)=3x+4 and g(x)= x^2-3x, find g(f(x)).
Answer:
g(f(x)) = 9x² + 15x + 4
Step-by-step explanation:
Given :
⇒ f(x) = 3x + 4
⇒ g(x) = x² - 3x
=============================================================
Solving :
⇒ g(f(x))
⇒ g(3x + 4) = (3x + 4)² - 3(3x + 4)
⇒ g(3x + 4) = (3x)² + 2(3x)(4) + (4)² - 9x - 12
⇒ g(3x + 4) = 9x² + 24x + 16 - 9x - 12
⇒ g(f(x)) = 9x² + 15x + 4
Translate the sentence into an equation.
Nine less then the product of 5 and a number equals 7.
Use the variable x for the unknown number.
Answer:
9 - 5x = 7
Step-by-step explanation:
Nine (9) less (-) then the product (*) of 5*x, equals (=) to 7
9 - 5x = 7
63. 26 Which expressions are equal to 23 ? 123 126 26 . 33 23 33
Hey there!
(6^3 * 2^6) / 2^3
= (6 * 6 * 6 * 2 * 2 * 2 * 2 * 2 * 2) / 2 * 2 * 2
= (36 * 6 * 4 * 4 * 4) / 4 * 2
= (216 * 16 * 4) / 8
= 3,456 * 4 / 8
= 13,824 / 8
= 1,728
Looking for something that gives you the result of: 1,728
Option A.
12^3
= 12 * 12 * 12
= 144 * 12
= 1,728
Option A. is. possible answer
Option B.
6^3
= 6 * 6 * 6
= 36 * 6
= 216
216 ≠ 1,728
Option B. is incorrect
Option C.
12^6
= 12 * 12 * 12 * 12 * 12 * 12
= 144 * 144 * 144
= 20,736 * 144
= 2,985,984
2,985,984 ≠ 1,728
Option C. is also incorrect
Option D.
2^6 * 2^3
= 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
= 4 * 4 * 4 * 4 * 2
= 16 * 16 * 2
= 256 * 2
= 512
512 ≠ 1,728
Option D. is also incorrect
Option E.
2^3 * 3^3
= 2 * 2 * 2 * 3 * 3 * 3
= 4 * 2 * 9 * 3
= 8 * 27
= 216
216 ≠ 1,728
Option E. is also incorrect.
Therefore, the answer should be:
Option A. 12^3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
20. Which of the following shows the inverse of {0, 4), (5,-2), (-1,8), (2,5)}?
O {(0,-4), (-5, 2), (1,-8)(-2,-5)}
O {0,4), (-5, -2), (1,8), (-2,5)}
O {(4,0), (-2,5), (8,-1), (5, 2)}
O {(0,-4), (5,2), (-1,-8), (2,-5)}
Answer:
4,0), (-2,5), (8,-1), (5, 2)}
pls help i will mark brainlyest
Answer:
∠b=82°
Step-by-step explanation:
143°=∠c+∠b (exterior angle property)
143°=61°+∠b
∠b=143-61
∠b=82°