Answer:
exponential decay
Step-by-step explanation:
exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)x wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.Exponential decay occurs when the amount of decrease is directly proportional to how much exists.
20,30,40,50,60,70,80 the mean of the number set is
Answer:
Mean is 50
Step-by-step explanation:
20 + 30 + 40 + 50 + 60 + 70 + 80 = 350
350 / 7 = 50
Answer:
50
Step-by-step explanation:
Mean means average number which sum of all numbers divided how many numbers we are investigating
We are investigating 7 numbers
The total sum of these numbers are:
20 + 30 + 40 +50+ 60+70+80= 350
Mean = 350/7= 50
Which statements are true about the table of values?
Check all that apply.
O xy = 3
When x = 3, y = 1.
x varies directly with y.
k = 1
3
The graph of this table would not be linear.
Answer:
A: xy= 3
B: When x= 3, y = 1
E: The graph of this table would not be linear.
Step-by-step explanation:
Edge
Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?
f(x) = x(x – a) (x - 1)3
f(x) = (x - a)
- a)2(x – b)4
f(x) = x(x - a) 6(x – b)2
Answer:
C
Step-by-step explanation:
I took the test
The function which represents the graph given is f(x) = (x - a)²(x - b)⁴.
What are Polynomials?Polynomials are expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.
Given is a graph of a function.
The options f(x) = x(x - a)³(x - b)³ and the option f(x)=x(x - a)⁶(x - b)² is not possible since x = 0 is not a root of the given graph.
That is the graph does not pass through the point (0, c) for any c.
Remaining options are f(x) = (x - a)²(x - b)⁴ and f(x) = (x - a)⁵(x - b).
We know that, the graph of a polynomial function always touch the X axis at zeroes with even multiplicities.
So here multiplicity will be even.
So the correct one is f(x) = (x - a)²(x - b)⁴.
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What is the least common multiple of the two denominators?
6/8 4/32
A.18
B.12
C. 8
D.32
Answer:
d.32
Step-by-step explanation:
To get the Least Common Multiple (LCM) of 8 and 32 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:
8: 222
32: 22222
LCM: 22222
The Least Common Multiple (LCM) is: 2 x 2 x 2 x 2 x 2 = 32
The least common multiple is = 32
The denominators are 8 and 32.
The multiples of 8 are = 8, 16, 24, 32, 40, ....
The multiples of 32 are = 32, 64, ....
So the least common multiple is = 32
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what is the total cost of a meal if the food cost $25 and there is a food tax of 3% and the waiter is tipped 15% of the food cost? Round to the nearest cent.
Answer:
$30
Step-by-step explanation:
If $25 is 100%,
$2.5 is 10%
$0.25 is 1%
$3.75 is 15%
$0.75 is 3%
Then add $25, $3.75 and 0.75 which is also equivalent to 100%+15%+3%=29.5 and if you rounded it up to the nearest cent it is 30
There are 1200 students in a school. 51.5% of them are male. How many are female
Answer:
Step-by-step explanation:
After returning to South Africa from Algeria in 1964, Nelson Mandela was
Arrested and imprisoned
Elected to the presidency
Educated in guerrilla tactics
Finally granted his freedom
Answer:
arrested and imprisoned.
Nelson Mandela was arrested an imprisoned by the Apartheid regime when he returned from Algeria.
Who is Nelson Mandela?Nelson Mandela was a know nationalist in South Africa and a strong advocate for the liberation of South Africa from the Apartheid in which the non-white South African's were segregated.
Nelson Mandela was educated in Algeria as a lawyer. When he returned in 1964, he was arrested and imprisoned.
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A coin is tossed and a die is rolled. What is the probability that a tail was tossed and an even number was rolled?What is the probability that a head was tossed and a number larger than 4 was rolled?
Please Show Work! Thanks!
Answer:
First problem: 1/4 chance
Second problem: 1/6 chance of happening
Step-by-step explanation:
To find the probability we need to multiply the chance of each separate thing happening by each other in each example.
In the first example we have a 1/2 chance that a tail was tossed and 3/6 chance that an even number was rolled.
[tex]\frac{1}{2} *\frac{3}{6} = \frac{3}{12} =\frac{1}{4}[/tex]
So in the first example we have 1/4 chance of happening or 0.25
Same thing with the second example:
[tex]\frac{1}{2} *\frac{2}{6} = \frac{2}{12} =\frac{1}{6}[/tex]
Solve for x can someone please answer please
Answer:
the triangles are in AA similarity.
Step-by-step explanation:
CB/DE = AB/AD
3/11 = x/9
cross multiply to get;
x = 2.45
4/3 times 22/7 times 1/4 cubed
Answer:
88/1344
Step-by-step explanation:
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
169.65 for volume.
Step-by-step explanation:
Volume = πr2h
= π×32×6
= 54π
= 169.64600329385 (unit^3)
I Hope this helps!!!
Answer:
339.12 squared (for surface area)
Step-by-step explanation:
radius=6
area of the circles is, 6*6= 36 * 3.14= 113.04
there are 2 circles so we multiply that by 2 to get 226.08
now to find the perimeter of a circle it is the radius * pi, so that would be 6*3.14= 18.84 now we have a height of 6 so we multiply that by 6 and get 113.04 now add up all our numbers and get 339.12
Find the slope,
Use this form example: y=Mx+b
Answer:
The slope is 1 or just x
Step-by-step explanation:
rise/run (rise over run) to find the slope
Which expression shows that the quotient
2/3x-1 ÷ 6/6x-1
is also a rational expression? Assume x
1/3 and x 1/6
Answer:
Option (2)
Step-by-step explanation:
Given expression is [tex]\frac{2}{(3x-1)}[/tex] ÷ [tex]\frac{6}{6x-1}[/tex]
We further simplify this expression,
[tex]\frac{2}{(3x-1)}[/tex] ÷ [tex]\frac{6}{6x-1}[/tex]
= [tex]\frac{2}{(3x-1)}\times \frac{6x-1}{6}[/tex]
= [tex]\frac{6x-1}{3(3x-1)}[/tex]
= [tex]\frac{6x-1}{(9x-3)}[/tex]
Therefore, [tex]\frac{6x-1}{(9x-3)}[/tex] will be the quotient of the given expression.
[tex]x\neq \frac{1}{3}[/tex] and [tex]x\neq \frac{1}{6}[/tex] for which the given expression is not defined.
Option (2) will be the answer.
Answer:
B
Step-by-step explanation:
3x + 5 = 2x + 8 =
help me plz
Answer:
x=3
Step-by-step explanation:
Answer:
The answer would be 3.
Step-by-step explanation:
what is -2(6a-2b+4c-9)
Answer:
-12a + 4b - 8c + 18
Step-by-step explanation:
To do this, you will need to use the Distributive Property. Multiply the number outside of the parenthesis by the terms inside of the parenthesis.
-2(6a - 2b + 4c - 9) becomes:
-12a + 4b - 8c + 18
Answer:
use a app that is call photomath
Solve for the zeros of the quadratic function f(x) = 9.2 + 6x +1. Write the answer as a fraction.
Answer:
x = -1.7, or x = -17/10
Step-by-step explanation:
f(x) = 9.2 + 6x + 1 is a linear function and as such (and because the slope is not zero) has only one solution. Combining like terms, we get
f(x) = 10.2 + 6x = 0 (you must set this equal to zero if solving for zero(s).
Then 6x = -10.2, and x = -1.7, or x = -17/10
Find the value of x. Then find mAB.
Answer:
16x - 5 = 15x
16x - 16x -5 = 15x - 16x
-5 = -x
-5 / -1 = -x / -1
x = 5
mAB = 5(5)
mAB = 25°
Step-by-step explanation:
1. set arc FA and arc CD equal to each other.
2. subtract 16x from both sides.
3. divide both sides by -1 to get x.
4. replace x by its value to solve for mAB.
What is the product?
Three-fourths times 12.44
3.11
9.33
12
36
Awnser pls ill give a star
Answer:
9.33
Step-by-step explanation:
12.44=311/25
(3/4)×(311/25)=(3×311/4×25)=933/100=9.33
Answer:
B. 9.33
Step-by-step explanation:
I go with my gut and my gut tells me this the right answer ( I used a calculator).
45% of all 1st graders at Sierra Elementary School are female students. This year there are 54 female 1st graders at Sierra Elementary School. How many 1st graders are there at Sierra Elementary School this year?
Answer:
There are 120 1st graders at Sierra Elementary School this year
Step-by-step explanation:
Let n represent the total number of 1st graders at Sierra Elementary School
Since 45% of all 1st graders at Sierra Elementary School are female students and this year there are 54 female 1st graders, 45% of n is equal to 54
→ n([tex]\frac{45}{100}[/tex]) = 54
→ 45n = 5400
→ n = 120
Answer:
number of first grader at Sierra elementary school = 120
Step-by-step explanation:
The question says 45% of 1st graders at Sierra Elementary school are female student . This year there are 54 female 1st graders at Sierra Elementary school .The number of 1st graders at Sierra elementary school can be calculated below .
Let
the number of 1st grader = a
45 % of a = female population
This year the female 1st graders at the Sierra elementary school are 54. This can represented as follows
45% × a = 54
45/100 × a = 54
45a/100 = 54
cross multiply
45a = 5400
divide both sides by 45
a = 5400/45
a = 120
number of first grader = 120
Someone please help me out!
Answer:
S = {2,4,6,8} P(2) = 3/20 P(4) = 3/10 P(6) = 3/10 P(8)= 1/4
Step-by-step explanation:
There are 30 draws
She got the tile numbered 2 3 times
P(2) = 3/20 = .15
She got the tile numbered 4 6 times
P(4) = 6/20 = 3/10 = .3
She got the tile numbered 6 6 times
P(6) = 6/20 = 3/10 = .3
She got the tile numbered 8 5 times
P(8) = 5/20 = 1/4 = .25
you roll a 6 sided die what is p(greater than 4)
Answer:
hey i think its 5 what do u think please folow me
Please help!You roll a 6-sided die two times.
What is the probability of rolling a number less than 4 and then rolling an odd number?
Write your answer as a percentage.
Answer:
25%
Step-by-step explanation:
[tex]6 \times 6 = 36 \\ 3 \times 3 = 9 \\ \frac{9}{36} = \frac{25}{100} [/tex]
Using the following triangle, write a proof to verify that sinA/a=sinC/c
Write two different expressions for h and set the expressions equal to each other
Answer:
Proved: [tex]c\sin A=a\sin C\Rightarrow \frac{\sin A}{a}=\frac{\sin C}{c}[/tex]
Step-by-step explanation:
Given: A triangle
To prove: [tex]\frac{\sin A}{a}=\frac{\sin C}{c}[/tex]
Solution:
Trigonometry is a branch of mathematics that explains relationship between sides and angles of the triangle.
Sine of angle = side opposite to the angle / hypotenuse
In ΔADB,
[tex]\sin A=\frac{BD}{AB}=\frac{h}{c}\\\Rightarrow h=c\sin A\,\,\,(i)[/tex]
In ΔBDC,
[tex]\sin C=\frac{BD}{BC}=\frac{h}{a}\\\Rightarrow h=a\sin C\,\,\,(ii)[/tex]
From equations (i) and (ii),
[tex]c\sin A=a\sin C\\\frac{\sin A}{a}=\frac{\sin C}{c}[/tex]
Hence proved
Jada rewrites 5•3^x as 15x. Do you agree with Jada that these are equivalent expressions? Explain your reasoning. Help me pleasee
Answer:yes
Step-by-step explanation:
5*3=15
5*3x=15x
The expression 15x is not the equivalent of the expression 5•3ˣ.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
It is a relation of the form y = aˣ in mathematics, where x is the independent variable
Jada rewrites 5•3ˣ as 15x.
We do not agree with Jada that these are equivalent expressions because she made the mistake.
As per the given obtained expression, we can see that here write 15 as the coefficient of variable x which is actually the power of an argument. the original expression was an exponential function that has 3 representing the base. thus, it cannot be multiplied the 5 by 3.
Thus, the expression 15x is not the equivalent of the expression 5•3ˣ.
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find whether the given numbers are perfect square or not {step by step}
a.1057
b.23453
c.2304
d.1057
Answer:
a. 1057 is not a perfect square
b. 23453 is not a perfect square
c. 2304 is a perfect square
d. 1057 is not a perfect square
Step-by-step explanation:
A perfect square is a number x where the square root of x is a number a such that a² = x and a is an integer. For example, 4, 9 and 16 are perfect squares since their square roots, 2, 3 and 4, respectively, are integers.
Evaluate 15 - 151.
-10
10
20
-20
Answer:
10
Step-by-step explanation:
15 - |5|
The absolute value of 5 is 5
15 - 5
10
Answer:
10
Step-by-step explanation:
assuming those are absolute value bars it is basically 15-5=10 so 10 is your answer!
Write a unit rate for the situation. 54$ for 3 tickets.
Answer:
It would be $18 because you would divide 54 by 3 and get $18 per ticket
Step-by-step explanation:
Please help!!
I grant brainliest.
Answer:
x = 65, y = 63
Step-by-step explanation:
∠ EGA = ∠ HBG = 52° ( corresponding angles )
ED is a straight angle, thus
52 + y + 65 = 180, that is
y + 117 = 180 ( subtract 117 from both sides )
y = 63
-------------------------------------
∠ HGB = y = 63° ( vertical angles )
The sum of the 3 angles in a triangle = 180°, thus
x + 63 + 52 = 180
x + 115 = 180 ( subtract 115 from both sides )
x = 65
A water storage tank is in the shape of a hemisphere (half a sphere). If the radius is 26 ft, approximate the volume of the tank in cubic feet.
Answer:
36,811 cubic feet.
Step-by-step explanation:
Volume = 1/2 volume of a sphere
= 1/2 * 4/3 π r^3
= 2/3 * π r^3
R = 26 so
Volume of the tank = 2/3 * π 26^3
= 36811.09 feet^3.
The volume of the tank in cubic feet approximate is 36,811 cubic feet.
What is the volume of sphere?If the given sphere is of radius r units, then its volume is given as:
[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]
We are given water storage tank is in the shape of a hemisphere (half a sphere). If the radius is 26 ft.
Therefore,
Volume = 1/2 volume of a sphere
= 1/2 * 4/3 π r^3
= 2/3 * π r^3
R = 26
Therefore, Volume of the tank = 2/3 π 26^3
= 36811.09 feet^3.
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Find the EXACT perimeter and EXACT area of triangle ABC (meaning radical form) BD=3 *will give brainliest*
Answer:
Perimeter = 4.5√3 + 4.5
Area = 3.375√3
Step-by-step explanation:
Well you can first see that triangle ABC is a 30°60°90° triangle.
Since angle A is 60 and it is bisected, you will have a small 30°60°90° triangle and a 120°30°30° triangle.
You can say that DA is congruent to BD by Base Angle Theorem.
DA = 3
By using the ratios of the sides of the 30°60°90° you get that CD is 1.5 and CA is 1.5√3
CD = 1.5
CA = 1.5√3
BC = 4.5
Area = (4.5 * 1.5√3) / 3 = 6.75√3 / 2
Area = 3.375√3
By using the 30°60°90° ratio again, you get that BA = 3√3
Perimeter = 1.5√3 + 3√3 + 4.5
Perimeter = 4.5√3 + 4.5
I'm not 100% sure that the answer is right so check it.