Answer:
y > 0 best describes the range of the function f(x) = 2(3)x. A function whose value is a constant raised to the power of the argument, especially the function where the constant is e
Step-by-step explanation:
Using exponential function concepts, it is found that the range of the function after it has been reflected over the x-axis is given by:
all real numbers less than 0.
What is an exponential function?It is modeled by:
[tex]y = ab^x + c[/tex]
In which:
a is the initial value.b is the rate of change.The range is (c, infinity).In this problem, a reflection over the x-axis means that it was multiplied by -1, hence the range will be (-infinity, 0), hence the correct option is;
all real numbers less than 0.
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at a fourth of july celebration, a rocket is launched straight up with an initial velocity of 128 ft. The height of the rocket in feet above sea level is modeled by the expression 128t - 16t^2, where T is the time in seconds after the rocket is launched. (a) what is the gcf of each term of the expression? (b) write the factored form of the expression for the height of the rocket after T seconds. (c) well the height of the rocket be greater after four seconds or after six seconds?
Answer:
Step-by-step explanation:
Given
Height of the rocket is given by
[tex]h=128t-16t^2[/tex]
[tex]h=8\times 16t-16t\times t[/tex]
(a)Greatest common factor in each term is [tex]16t[/tex]
(b)
[tex]h=8\times 16t-16t\times t[/tex]
[tex]h=16t(8-t)[/tex]
(c)
After [tex]t=4\ s[/tex]
[tex]h=16\times 4(8-4)[/tex]
[tex]h=256\ m[/tex]
after [tex]t=6\ s[/tex]
[tex]h=16\times 6(8-6)[/tex]
[tex]h=192\ m[/tex]
Thus after [tex]4\ s[/tex] height of rocket is greater .
hi got a question!
Eight coloured balls were wrapped inside a bag. 3 red balls, 2 yellow balls and 3 Green balls. What is the probability of picking a yellow or a green ball?
Answer:
Total no. of balls = 8
Red balls = 3
Yellow balls = 2
Green balls = 3
Now,
P (picking a yellow ball) = 2/8 = 1/4
P (picking a green ball) = 3/8
[tex]<marquee>♥️Mark as brainliest♥️</marquee>[/tex]
plz help plz help plz
Answer:
[tex] \dfrac{1}{16} [/tex]
Step-by-step explanation:
Definition of a negative exponent:
[tex] a^{-n} = \dfrac{1}{a^n} [/tex]
This problem:
[tex] 4^{-2} = \dfrac{1}{4^2} = \dfrac{1}{16} [/tex]
The right answer is 1/16
look at the attached picture
Hope it will help you
Good luck on your assignment
Juan used algebraic properties to make an equivalent expression. He listed the properties in the order that he used them.
Step
Property Used
1
Associative
2
Distributive
3
Addition
Which steps match the properties used?
15 + 7 n minus 8 + 3n = 7 n + 3 n + 15 minus 8 = (7 + 3) n + 15 minus 8 = 10 n + 7
12 n + 2 (4 n + 2) = 12 n + 8 n + 4 = (12 + 8) n + 9 = 20 n + 9
15 n + (17 n + 9) = (15 n + 7 n) + 9 = (15 + 7) n + 9 = 22 n + 9
12 n + 6 + 7 n = 12 n + 7 n + 6 = (12 + 7) n + 6 = 19 n + 16
Answer:
c
Step-by-step explanation:
1)
15 + 7n - 8 + 3n = 7n + 3n + 15 - 8 = (7 + 3)n + 15 - 8 = 10 n + 7
Associative Property of Addition
2)
12n + 2 (4 n + 2) = 12 n + 8 n + 4 = (12 + 8) n + 9 = 20 n + 9
Distributive Property of Equality
3)
15 n + (17 n + 9) = (15 n + 7 n) + 9 = (15 + 7) n + 9 = 22 n + 9
Addition Property of Equality,
4)
12 n + 6 + 7 n = 12 n + 7 n + 6 = (12 + 7) n + 6 = 19 n + 16
Associative Property of Addition
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The property used is the Associative Property of Addition, which allows us to regroup the terms without changing their order.
We grouped the terms (7n + 3n) and (15 - 8) together as (7 + 3)n and simplified them to get 10n + 7.
The property used is the Distributive Property of Multiplication over Addition, which allows us to distribute a factor to each term inside a parenthesis.
We distributed 2 to (4n + 2) to get 8n + 4, and then combined like terms to get,
12n + 8n + 4 = 20n + 4.
The property used is the Addition Property of Equality, which allows us to add the same quantity to both sides of an equation without changing its value.
We added 9 to both sides of the equation to get 15n + (17n + 9) + 9 = 15n + 17n + 18, which simplifies to 22n + 9.
The property used is the Associative Property of Addition, which allows us to regroup the terms without changing their order.
We grouped the terms (12n + 7n) and (6) together as (12 + 7)n and (6), and simplified to get 19n + 6.
Therefore,
15 + 7n - 8 + 3n = 7n + 3n + 15 - 8 = (7 + 3)n + 15 - 8 = 10 n + 7
Associative Property of Addition
12n + 2 (4 n + 2) = 12 n + 8 n + 4 = (12 + 8) n + 9 = 20 n + 9
Distributive Property of Equality
15 n + (17 n + 9) = (15 n + 7 n) + 9 = (15 + 7) n + 9 = 22 n + 9
Addition Property of Equality,
12 n + 6 + 7 n = 12 n + 7 n + 6 = (12 + 7) n + 6 = 19 n + 16
Associative Property of Addition
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Which formula can we use to find the circumference of a circle?
Answer:
2[tex]\pi[/tex]r
Step-by-step explanation:
Answer:
C= 2πr 0r C= 2πd
Step-by-step explanation:
In 1992, Jason bought a gallon of gas for $1.16. Yesterday, he bought a gallon of gas for $2.16.
What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If
necessary, round to the nearest tenth of a percent.
A:%46.3 B:13.8% C:53.7% D:86.2%
Answer:
C. 53.7%
Step-by-step explanation:
1.16÷2.16=53.7
Hi!
I'm happy to be able to help you today!
Your answer would be C. 53.7% !
This is because if you take 1.16 divided by 2.16 you get 53.7!
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Help looks like i forgot to read a ruler
Answer is 2 and 3/4
-Dhruva;)
What are the mean,mode, and range for this set of data? 5.1,3.7,3.1,4.3,7.2,4.3,2.5
Answer:
Mean: 4.3142
Mode: 4.3
Range: 4.1
Step-by-step explanation:
5.1 + 3.7 + 3.1 + 4.3 + 7.2 + 4.3 + 2.5 = 30.2
30.2 ÷ 7 = 4.3142
Answer:
Step-by-step explanation:
First step to finding the mean, is to add all of the numbers up.
5.1 + 3.7 + 3.1 + 4.3 + 7.2 + 4.3 +2.5 = 30.2
The next step is to divide the total against the amount of numbers in the sequence. Since there are 7 numbers in this sequence, you will divide 30.2 by 7.
30.2 / 7 = 4.3 (rounded to the nearest tenth)
The mean of the data set is 4.3
To find the mode, you will look for the number of the set that appears most frequently. I suggest putting the numbers in order of least to greatest, as this keeps them sorted and organized.
2.5, 3.1, 3.7, 4.3, 4.3, 5.1, and 7.2
Looking at these numbers, you can see that 4.3 pops up twice in the data set. This will be the mode, because it is the number that appears most frequently.
To find the range, you take the greatest number in the data set, and subtract it by the smallest.
7.2 - 2.5 = 4.7
That means that 4.7 is the range of the data set.
- Answered by, Inspire with a lowercase L, because the regular word "Inspire" was alreadt taken
Which of the following is a strong base?
ethyl alcohol
ammonia
vinegar
O potassium hydroxide
Answer:
potassium hydroxide
Step-by-step explanation:
Answer:
Potassium hydroxide
Step-by-step explanation:
A Labrador Retriever weights 48 pounds. A Huskie weighs 775 ounces. Which dog weighs more? By how many ounces?
Answer:
a huskie and 112 oz
Step-by-step explanation:
1 pound = 16 ounces
? pound = 775 ounces
-8x -3(2x+1)=67 Find the value of X
Answer:
x=-5
Step-by-step explanation:
-8x-6x-3=67
-14x=70
x=-5
Answer:
x = -5
Step-by-step explanation:
Solve for x:
-8 x - 3 (2 x + 1) = 67
-3 (2 x + 1) = -6 x - 3:
-6 x - 3 - 8 x = 67
Grouping like terms, -6 x - 8 x - 3 = (-8 x - 6 x) - 3:
(-8 x - 6 x) - 3 = 67
-8 x - 6 x = -14 x:
-14 x - 3 = 67
Add 3 to both sides:
(3 - 3) - 14 x = 3 + 67
3 - 3 = 0:
-14 x = 67 + 3
67 + 3 = 70:
-14 x = 70
Divide both sides of -14 x = 70 by -14:
(-14 x)/(-14) = 70/(-14)
(-14)/(-14) = 1:
x = 70/(-14)
The gcd of 70 and -14 is 14, so 70/(-14) = (14×5)/(14 (-1)) = 14/14×5/(-1) = 5/(-1):
x = 5/(-1)
Multiply numerator and denominator of 5/(-1) by -1:
Answer: x = -5
A horse is shown in the scale drawing the height of the horse in the drawing is 4.5 inches the scale that maps the drawing to the actual horse is 1 inch to 1.5 feet using the scale giving enter the actual height of the horse in feet
Answer: 6.75 feet.
Step-by-step explanation: 4.5 x 1.5
help now pleasee :)
Make a list, table or tree diagram to help represent all the possible outcomes of spinning the spinner and flipping a coin and answer the question.
What is the probability of spinning a 5 and flipping a coin that lands on heads?
110
15
25
17
Answer:
1/10 or 10%
Step-by-step explanation:
The possible outcomes are below
1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T
Since there are 10 possible outcomes, the probability of spinning a 5 and flipping a coin that lands on heads is 1/10 or 10%.
If this answer is correct, please make me Brainliest!
Suppose you deposit $100 in Account A with a simple interest rate of 3.4%, and $300 in Account B with a simple interest rate of 1.8%. One year later, you get a bank statement, that shows the interest for Account A is $3.40 and the interest for Account B is $540.00. Which account is incorrect?
Answer:Statement for Account B is incorrect.
Step-by-step explanation:
Interest for Account B should be 300 x 1.8% = $5.40
The account B is incorrect. The interest of account B is $5.40.
What is simple interest?The crediting of cash flows associated with an investment or deposit is referred to as "simple" interest.
In finance and economics, interest is the payment of an amount above the repayment of the principal sum by a borrower or deposit-taking financial institution to a lender or depositor at a specific rate by a borrower or depositor.
Given that you deposit $100 in Account A with a simple interest rate of 3.4% and $300 in Account B with a simple interest rate of 1.8%. One year later, you get a bank statement, that shows the interest for Account A is $3.40 and the interest for Account B is $540.00
SImple interest for account A,
SI = ( 100 x 3.4 ) / 100
SI = $3.4
Simple interest for account B,
SI = ( 300 x 1.8 ) /100
SI = $5.4
Simple interest for account B is incorrect.
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there are 16 cookies and 4 friends. How many cookies will each friend will have?
Please answer CORRECTLY !!!!!! Will mark brainliest !!!!!!!!!
Answer:
h(n) = -2n -13
Step-by-step explanation:
m+1 = -2(n+6)
Distribute
m+1 = -2n-12
We want to solve for m, as we want a function of n
m +1-1 = -2n-12-1
m = -2n-13
h(n) = -2n -13
please help!!!!!!!!!!
Answer:
I saw this question in me answer option c.
1. Marina made this raised bed for growing vegetables. She put 100 cubic 25 points
feet of loam in the bed. She wants to mix in some potting soil and fill it to
the top. How much potting soil does Marina need?
Your answer
Answer: 44 cubic ft.
Step-by-step explanation: First, we need to find the area of the whole bed, by doing length x width x height
2 x 12 x 6 = 144
Now, we simply subtract 100 from 144
Hope this helps :)
The interior angles of a triangle have measures kº, 27°, and 10°
What is the value of k?
Answer:
k = 143
Step-by-step explanation:
The sum of the 3 interior angles of a triangle = 180°, thus
k = 180 - (27 + 10) = 180 - 37 = 143
A function is given.
f(x)=2x+3
What is the value of f(−2)?
f(−2) = ?
Answer:
f(- 2) = - 1
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x), that is
f(- 2) = 2(- 2) + 3 = - 4 + 3 = - 1
For [tex]2^{x}[/tex] + 3, then
f(- 2) = [tex]2^{-2}[/tex] + 3 = [tex]\frac{1}{4}[/tex] + 3 = 3.25
What is the range of the following numbers? 12, 20, 18, 25, 6
Answer:
range- 19
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
Can someone help me do this plz?
Answer:
The last statement would be right.
Step-by-step explanation:
In The graph it proves that When mike runs 200 meters it would take him 32 seconds and when Brian runs the 200 meters it would take him 40 seconds.
Please Mark BRAINLIEST! Really need it!
Which of the following sets of number does square of 121 NOT belong
A. Integer
B. Real Number
C. Rational number
D. Irrational number
I NEED HELPP
Answer:
D
Step-by-step explanation:
Squaring 121 will still be a real number, a rational number, and an integer. Therefore, it is not an irrational number.
A number is greater than 8. The same number is less than 10. The inequalities > 8 and x < 10 represent the situation, which
best explains the number of possible solutions to the inequality?
There is one solution because 9 is the only number between 8 and 10,
There are a three solutions because 8. 9, and 10 are possible seyitions
There are a few solutions because there are some tractions and decimals between 8 and 10,
There are infinite solutions because there is always another number between any two numbers,
Answer:
There are infinite solutions because there is always another number between any two numbers,
Step-by-step explanation:
This is because in the given equation >8 and x < 10 we are not told of the unique numbers we are searching for be it a decimal or a larger number searching for a unit of 9. ie) 8.0009 or searching for specific 9's.
1) Tanya is buying edging for a triangular flower garden she plans to build in her backyard. If the lengths of the three pieces of edging that she purchases are 13 feet, 10 feet, and 7 feet, will the flower garden be in the shape of a right triangle ?
Answer:
Converse of the Pythagorean Theorem
The Pythagorean Theorem states that if a triangle is a right triangle, then, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
That is, if a and b are legs and c is the hypotenuse, then
a2 + b2 = c2
The converse of the Pythagorean Theorem states that if a2 + b2 = c2, then the triangle is a right triangle.
Step-by-step explanation:
Answer:
The Flower Garden is not in the shape of a right Δ
Step-by-step explanation:
~ To prove that this garden is in the shape of a right triangle, it can be done so through contradiction ~
Pythagorean Theorem is applied to a right triangle, so we can say that the two legs are 10 and 7 feet, the hypotenuse being 13, knowing it is the longest side;
a^2 + b^2 = c^2,
10^2 + 7^2 = 13^2,
100 + 49 = 169,
149 ≠ 169,
So the Flower Garden will not be in the shape of a right Δ
You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents per minute. The second plan charges a monthly fee of $39.95 plus 10 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?
Answer: 286 minutes
Step-by-step explanation:
x : # of months that has gone by
0.24x : cost of the 24 cent plan after "x" minutes
39.95 + 0.10x : cost of the 10 cent plan after "x" minutes
1. 39.95 + 0.10x > 0.24x
2. 39.95 > 0.24x - 0.10x
3. 39.95 > 0.14x
4. 285.36 > x
x must be AT LEAST 286 minutes for plan #2 (39.95 + 0.10x) to be a better deal
Answer:
286 minutes.
Step-by-step explanation:
Plan one: .24x
Plan two: 39.95 + .10x
When x = 286, the price of plan one is $68.64, which is higher than plan two which is $68.55. This makes the second plan preferable after 286 minutes of use.
Does the point (3, - 5) lie on the line y =
- 3x + 4?
Answer:
Yes
Step-by-step explanation:
Substitute by x = 3, you will find that y = - 9 + 4 = - 5
Then it lies on the line
Answer:
sim
Step-by-step explanation:
Substitua por x = 3, você descobrirá que y = - 9 + 4 = - 5
Então está na linha
Question 1
A landscape architect is designing a pool that has this top view:
a. How much water will be needed to fill this pool 4 feet deep?
b. Before filling up the pool, it gets lined with a plastic liner. How much liner is needed for this pool?
Answer:
Water needed for pool = 486 cubic feet
Plastic liner required for the pool = 298.3 feet
Step-by-step explanation:
Top view of the pool is a composite figure, having one rectangle and a trapezoid.
1). Water needed for the pool = volume of the pool
Volume of the pool = Area of the base × Depth
= (Area of the rectangle + Area of the trapezoid)× depth
Area of the trapezoid = [tex]\frac{1}{2}(b_{1}+b_{2})\times h[/tex]
= [tex]\frac{1}{2}(11+9)\times (12-1.5)[/tex]
= 105 ft²
Area of the rectangle = Length × width
= 11 × 1.5
= 16.5 ft²
Now, volume of the pool = (105 + 16.5) × 4
= 121.5 × 4
= 486 cubic feet
b). Liner required = surface area of the pool excluding top
= Surface area of the walls + Area of the pool base
= (Perimeter of the pool) × depth + area of the base
= (12 + 11 + 1.5 + 10.7 + 9)×4 + 121.5
= 176.8 + 121.5
= 298.3 square feet
Therefore, amount of water required = 486 cubic feet
liner needed = 298.3 square feet
a. Water needed for pool = 486 cubic feet.
b. Plastic liner required for the pool = 298.3 feet.
Calculation of water needed and plastic liner required:a.
Water needed for the pool = volume of the pool
Here
Volume of the pool = Area of the base × Depth
= (Area of the rectangle + Area of the trapezoid)× depth
So,
Area of the trapezoid = 0.5 × (b1 + b2) × h
= 0.5 × (11 + 9 )(12 -1.5)
= 105 ft²
Now the area of the rectangle
= Length × width
= 11 × 1.5
= 16.5 ft²
Now, volume of the pool = (105 + 16.5) × 4
= 121.5 × 4
= 486 cubic feet
b). Liner required = surface area of the pool excluding top
= Surface area of the walls + Area of the pool base
= (Perimeter of the pool) × depth + area of the base
= (12 + 11 + 1.5 + 10.7 + 9)×4 + 121.5
= 176.8 + 121.5
= 298.3 square feet
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X/5+2 = -1
Solve 2-step equations
Answer:
X = -15
Step-by-step explanation:
X/5+2 = -1
Subtract 2 from each side
X/5+2-2 = -1-2
X/5 = -3
Multiply each side by 5
X/5 *5 = -3*5
X = -15
Answer:
x =-15
Step-by-step explanation:
[tex]\frac{x}{5}[/tex] +2 = -1
x/5 = -3
5 (x/5) = - (5)
x = -15
PLS HELP!!!!!
An initial population of 298 quail increases at an annual rate of 8%. Write an exponential function to model the quail population.
What will the approximate population be after 3 years?
Answer:
375 as the whole number and 375.4 as a decimal.
Step-by-step explanation:
number = 298(1.08)^n , where n is the number of years
so when n = 3
population = 298(1.08)^3 = appr 375
The approximate population be after 3 years is 375 as the whole number and 375.4 as a decimal.
Given that,
An initial population of 298 quail increases at an annual rate of 8%.Based on the above information, the calculation is as follows:
[tex]= 298(1.08)^n[/tex]
Here n is the number of years
n = 3
So,
[tex]= 298(1.08)^3[/tex]
= 375
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