Answer:
f(x) = 4 (0.25)ˣ
Step-by-step explanation:
If the growth factor is between 0 and 1, the function is exponential decay.
If the growth factor is greater than 1, the function is exponential growth.
Find the third side in simplest radical form
Answer:
[tex] 2 \sqrt{71} \: units[/tex]
Step-by-step explanation:
Given is a right angled triangle in which third side is the hypotenuse.
Therefore, by Pythagoras theorem:
[tex]thid \: side = \sqrt{ {15}^{2} + ( \sqrt{59} )^{2} } \\ \\ = \sqrt{225 + 59} \\ \\ = \sqrt{284} \\ \\ = \sqrt{ {2}^{2} \times 71 } \\ \\ = 2 \sqrt{71} \: units[/tex]
What is the inverse of the function f(x) = 4x + 8
Answer:
let f(x)= y
y = 4x+8
x= 4y + 8
4y = x - 8
y = (x - 8)/4
Hope this helps.
Answer:
x/4 - 2 = y
Step-by-step explanation:
soo switch x and f(x)
x=4y+8
then bring it back to like how it was before
x-8=4y
then
(x-8)/4=y
then simplify
x/4 - 8/4 = y
which can then be simplified to
x/4 - 2 = y
What are some words that relate to geometry but are difficult to precisely define
Answer:
the point the line the planeStep-by-step explanation:
:D
The equation x2 - 7x=0 when solved is:
Answer:
x =0 x=7
Step-by-step explanation:
x^2 - 7x=0
Factor out an x
x(x-7) =0
Using the zero product property
x =0 x-7 =0
x =0 x=7
The numbers 1, 2, ... ,10 are to be entered into the 10 boxes shown below, so that each number is used exactly once: P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square). What is the maximum value of P? What is the minimum value of P?
Answer:
Maximum: 756
Minimum: 600
Step-by-step explanation:
A square is the shape that has the maximum area out of all possible rectangles of a given perimeter. This means that to create the maximum value of P, you will want the two parentheses to be as close in value as possible, and to create the minimum value, for them to have the biggest difference. 1+2+3...+10=55, which is not even, but can be divided as closely as possible into 27 and 28, which have a product of 756. This can be done in this problem in several ways, one of which is:
(1+3+5+8+10)(2+4+6+7+9)
For the minimum, the largest difference can be made when one term is full of the smallest numbers, and the other is full of the largest, or:
(1+2+3+4+5)(6+7+8+9+10)=600
Hope this helps!
2 3 x = − 1 2 x + 5 what is x?
Answer: 1/7
Step-by-step explanation:
23x = -12x + 5
23x + 12x = 5
35x = 5
x = 1/7
who can solve ? 9y < -3
Answer:
y< -1/3
Step-by-step explanation:
To solve the inequality, we must get the variable, y, by itself.
9y< -3
Perform the opposite of what is being done to the equation, to both sides.
y is being multiplied by 9. The opposite of multiplication is division. Therefore, divide both sides by 9.
9y/9 < -3/9
y< -3/9
-3/9 can be reduced. 3 can be divided evenly into both the numerator (top number) and denominator (bottom number).
y< (-3/3) / (9/3)
y< -1/3
Simplify (x-5)+(X+1)
Answer:
2x - 4
Step-by-step explanation:
x - 5 + x + 1
→Add like terms (x and x, -5 and 1):
2x - 4
PLEEEASE HELP!!! EXPLAIN ALL PARTS!!!
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.
Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)
Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)
Part C: If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)
Answer:
see below
Step-by-step explanation:
A: Some points could be (1, 7.5), (2, 7), (3, 6.5), (4, 6), (5, 5.5) and (6, 5) because the y-coordinates all represent the heights of the candle after the x hours.
B: This is a function because no input has multiple outputs.
C: It would still be a function because no input would have multiple outputs.
Answer:
Have a great day!!
Step-by-step explanation:
Part A: my rate of change was first y= - 5x + 8 the reason i put a negative sign beforehand is that when the candle melts its height it's decreasing
(0,8),(1,7.5)(2,7)(3,6.5)(4,6)(5, 5.5)
Part B: This is a function because there is one different output for each different input
Part C: yes, it still would be a function because the numbers haven't changed and are exactly the same and it still has one input for each output.
(0,8), (1,75), (2,7), (3,6.5), (4,6), (5,5.5)
Help me quickly I will give brainliest answer to who does it first, look at picture
Answer:
V = 54 π units³
OR
V = 169.6 units³
Step-by-step explanation:
Volume of a cylinder = [tex]\pi r^2 h[/tex]
V = (3.14)(3)²(6)
V = (3.14)(54)
V = 54 π units³
OR
V = 169.6 units³
Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (negative 4 x) squared + (9) squared = 16 x squared + 81. Which statement best describes Kylie's explanation? Kylie is correct. Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly. Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly. Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.
Answer:
Given:
Step-by-step explanation:
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
This is because the product will be a trinomial and the polynomial will not result in a difference of squares. A difference of squares is when the factor are inverse to each other.
C- Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
PLEASE HELP!! Rick uses this exponential expression to determine what the value of his bank account will be in three years. Select the value in the expression that represents the number of times per year that interest is compounded on the account.
5,000(1+0.04/12)^12t
Answer:
12
Step-by-step explanation:
A compound interest equation is represented as A = P(1 + r/n)^nt, where n=the number of times per year the interest is compounded. In the given equation, n=12.
Answer:
12
Step-by-step explanation:
HELP. THIS IS ABOUT DILATION EXPLANATION NEEDED
Answer:
(16,14)
Step-by-step explanation:
Dilation is increasing/decreasing something by a factor. The shape remains the same; it's just bigger or smaller.
This shape is a square, so all lines are the same length. Find the distance between C and D (it can honestly be any adjacent points). The distance is 6. You can usually use the distance formula, but since C and D have the same y-coordinate, you can just do |x2-x1|. Since you're multiplying by 2, the new distance should be 12. Since the y-coordinate of A' is 14, the y-coordinate of B is also 14. The x-coordinate should be 12 units away from the new A' (which is (4,14)). B is (16, 14)
Answer:
To dilate from the origin, you would need to multiply each coordinate by 2. For example, for A(2*2,7*2). After you do that to each coordinate, plot the points on a graph(by hand or using Desmos). Then, since it is a square determine point B by counting a certain number of units away from another point. A square has four congruent sides.
(4x2 + 7x)(5x2 – 3x)
A. 2034 + 35x3 - 21x2
O B. 202A + 23x3 - 21x2
C. 20x4 + 23x2 - 21%
O D. 20A + 35x2 – 21x
Answer:
work is shown and pictured
someone help me find BC
Answer:
BC can be found after A and before D lol jkjk the answers 2.3
Step-by-step explanation:
sin(50°) = d / 3
sin(50°) = 0.766
0.766 = d / 3
Start with:
0.766 = d / 3
Swap sides:
d / 3 = 0.766
Multiply both sides by 3:
d = 0.766 x 3
Calculate:
d = 2.298
So BC = 2.298
Round to 2.3
Answer:
Answer:to find BC. u use sine because it is opposite divided by hypotenuse.
Answer:to find BC. u use sine because it is opposite divided by hypotenuse. sine50=?/3
Answer:to find BC. u use sine because it is opposite divided by hypotenuse. sine50=?/3=2.298=2.30 to the nearest hundredth
In which number is the value of the 6 ten times the value of the 6 in the number
6,000?
Answer:
600
Step-by-step explanation:
the value of 6 in 6000 is thousands
600x10=6000
Answer:
Step-by-step explanation:
A number is chosen at random from the set of two digits numbers from 10 to 99 inclusive. what is the probability the number contains at least one digits 2?.
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
There are 99 - 10 + 1 = 90 numbers between 10 and 99
There are 18 numbers that have at least one two digit.
[tex]\frac{18}{90}=\frac{1}{5}[/tex]
Answer pleaseeee ASAP
Answer:
93 square metres
Step-by-step explanation
The formula for surface area is 2ab+2ac+2bc, and with no lid one bc can be removed.
Suppose a=7 b=3 and c=3
2(7x3)+2(7x3)+(3x3)=93
A candle maker uses a mold to make candles like
the one shown below.
(photo attached)
The height of the candle is 13 cm and the
circumference of the candle at its widest measure is
31.416 cm. Use modeling to approximate how
much wax, to the nearest cubic centimeter, is
needed to make this candle.
Answer: 340 cm3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formulas:
Circumference = 2π radius
Replacing with the circumference value and solving for r:
31.416 =2π r
31.416 /2π =r
5cm =r
And then:
Volume of a cone = 1/3 x π x radius^2 x height
Replacing with the values given:
V = 1/3 π (5)^2 (13) = 340 cm3
Feel free to ask for more if needed or if you did not understand something.
Find the slope of the line that passes through (2, 16) and (10, 7).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-9/8
Hope this helps
The right answer is - 9/8
please see the attached picture for full solution
Hope it helps..
Simplify the ratio 68:28
Answer:
17:7
Step-by-step explanation:
68/4 = 17 and 28/4 = 7
Thus, 68:28 ratio simplified is 17:7
Please brainliest me PlsAnswer:
The answer is 17/7 or 2.43
If someone could do this it’s be greatly appreciated!
Answer:
a). A = -2x² + 200x
b). Widths = 40 feet and 60 feet
Step-by-step explanation:
It is given that length of the fencing material = 200 feet
a). Peg wants to cover the vegetable garden from three sides with the given fencing material.
If length of the garden = l
and width of the garden = x
l + x + x = 200
l + 2x = 200
l = (200 - 2x) feet
Therefore, area of the garden = Length × width
A = [tex](200-2x)\times x[/tex]
A = -2x² + 200x
b). Foe A = 4800 square feet,
4800 = -2x² + 200x
2x² - 200x + 4800 = 0
x² - 100x + 2400 = 0
x² - 60x - 40x + 2400 = 0
x(x - 60) - 40(x - 60) = 0
(x - 60)(x - 40) = 0
x = 40, 60 feet
Therefore, widths of Peg's garden will be 40 feet and 60 feet.
tons of points easy what is 9.5 x 19 equal
Answer:180.5
Step-by-step explanation:
9.5 x 19
361/2=180.5
Which of the following is not a case of direct variation?a Number of sheets of some kind and increased when their total weight its inceased. b More quantity of petrol is required to travel more distance with a fixed speed. c More fees would be collected if number of students increased in a class. d Time taken will be less if number of workors are increased to complete the same work.
Answer:
Step-by-step explanation:
If two variables, x and y have a direct variation, it means that an increase in x would lead to a corresponding increase in y. A decrease on x would lead to a corresponding decrease in y.
Therefore, we would compare the scenarios to determine which is not a direct variation. The correct option is
d) Time taken will be less if number of workers are increased to complete the same work.
The rest are direct variation scenarios
a theatre ticket costs £63 plus a booking fee of 3%.
what is the total price of the ticket?
Answer:
64.89£
Step-by-step explanation:
Given:
Theater ticket costs £63
Booking fee: 3% of original price
Solve for:
Total price of ticket
Solution:
Step 1: Select relevant procedure
The total price including the booking fee, then before working out the total price, the booking fee should be calculated.
Step 2: Perform the calculation
The booking fee of ticket is calculated by:
BF = 3% of £63 or (3/100) x 63 = 1.89
Adding up the ticket price and booking fee to get total price:
Total price = ticket price + booking fee = 63 + 1.89 = 64.89£
Hope this helps!
:)
Carlos is five years older than twice his sister's age. Carlos is 13.
Which equation and solution correctly identifies his sister's age?
A.) 2 x + 5 = 13; x = 4
B.) 2 x - 5 = 13; x = 9
C.) 2 x - 5 = 13; x = 4
D.) 2 x + 5 = 13; x = 9
this is a multiple choice answer
Answer:
a. ) 4
Step-by-step explanation:
13-5= 8
8/2=4
Answer:
A.) 2 x + 5 = 13; x = 4
Step-by-step explanation:
Someone please help ASAP
Answer:
5050
Step-by-step explanation:
To solve via calculator, go to the MATH menu, then the 0th option should say "summation" and insert it from there.
To solve algebraically, break the summation into 2 parts. Excuse the strange formatting, I can't find a way to do it normally.
4([tex]\frac{50}{1}[/tex]∑n) -
= 4( [tex]\frac{50(50+1)}{2}[/tex]) - 50(1)
= 5100 - 50
= 5050
Rohan and Ronit went to the sea shore during their vacations they stood at a point and decided it to be the starting point. For every step Ronit moved forward Rohan took three steps backward . If the distance covered between the starting point and Ronit is +96 then find out Rohan's position and the distance between Ronit and Rohan .
Answer:
-288
Step-by-step explanation:
math
Simplify the expression by combining like terms.
22+5m-4m+7n8
Answer:
Second Option, m+7n+30
Step-by-step explanation:
First I'd combine the m terms
22+5m-4m+7n-8
5m-4m
=1m
22+1m+7n+8
Now the numbers with no variable
22+1m+7n+8
22 + 8
=30
m+7n+30 is our final answer
Answer:
7n +m +14
Step-by-step explanation:
22 +5m -4m +7n -8
=7n +5m -4m +22 -8
=7n +m +14
Which of the following are accepted without proof in a logical system check all that apply
Answer:
postulates, common notions, and axioms
