[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\$12000\\ P=\textit{initial amount}\dotfill &\$30000\\ r=rate\to 25\%\to \frac{25}{100}\dotfill &0.25\\ t=years\\ \end{cases}[/tex]
[tex]12000=30000(1 - 0.25)^{t}\implies \cfrac{12000}{30000}=(1 - 0.25)^{t}\implies \cfrac{2}{5}=0.75^t \\\\\\ \log\left( \cfrac{2}{5} \right)=\log(0.75^t)\implies \log\left( \cfrac{2}{5} \right)=t\log(0.75) \\\\\\ \cfrac{~~\log\left( \frac{2}{5} \right)~~}{\log(0.75)}=t\implies 3\approx t[/tex]
Ally and Christian bought 4 pounds of butter and 2 pounds of chocolate chips for cookies. How many ounces of products did they purchase?
What is the rate of change in y with respect to x in the function x + 5y = 10?
Answer:
-1/5
Step-by-step explanation:
let's put the function in slope intercept form (y = mx + b).
x + 5y = 10
y = - (1/5)x + 2
when the function is in slope intercept form, (m) is the rate of change or the slope.
therefore, the rate of change -1/5
how do i find these in surface area with work??
Answer:
Just multiply. the numbers that they r showing u is for the surface.
Step-by-step explanation:
I do it all the time and get it right.
PLS GIVE ME BRAINILIEST IT WOULD REALLY HELP ME!
PLEASE ASNWER QUICKLY AND EXPLAIN
Answer:
(-4,6)
Step-by-step explanation:
When rotating a point about the origin, we can simply add and negative sign in front of both the x and y.
(4,-6)
(-4, - -6)
When there are two negatives, it automatically becomes a positive (+)
(-4,6)
If 2 cards are dealt from a shuffled deck of 52 cards, find the probability that all 2 cards are jacks.
Step-by-step explanation:
?Can you please explain more??
︵‿︵‿୨♡୧‿︵‿︵
Write an equation in point-slope form of the line that passes through the point (-6,6) and has a slope of m=3/2
.
Answer:
[tex]y-6=\frac{3}{2} (x+6)[/tex]
Step-by-step explanation:
Hi there!
We are given a point (-6, 6) and a slope of [tex]\frac{3}{2}[/tex]
We want to write the equation of the line that contains this point and slope in point-slope form
Point-slope form is written as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point
As we are already given everything we need, we can simply substitute the values into the formula
Starting with the slope, substitute 3/2 as m into the equation:
[tex]y-y_1=\frac{3}{2} (x-x_1)[/tex]
Now substitute -6 as [tex]x_1[/tex] and 6 as [tex]y_1[/tex]
[tex]y-6=\frac{3}{2} (x--6)[/tex]
Simplify:
[tex]y-6=\frac{3}{2} (x+6)[/tex]
Hope this helps!
What is the formula for finding the midpoint of a segment? Circle your choice.
Answer:
Choice D is the correct answer. (I assure you)
{Answer choice B is incorrect.}
The formula for finding the midpoint of a segment is :
( (x₁ + x₂)/2, (y₁ + y₂)/2). Hence, Option D is correct.
Use the concept of coordinates defined as:
A pair of numbers that describe the exact position of a point on a cartesian plane by using horizontal and vertical lines are called the coordinates.
Consider two opposite points of a segment (x₁, y₁) and (x₂, y₂).
Then x coordinate of the midpoint of the line joining this point is :
(x₁ + x₂)/2
And y coordinate of the midpoint of the line joining this point is :
(y₁ + y₂)/2
Therefore,
The coordinate of the midpoint of this segment is ( (x₁ + x₂)/2, (y₁ + y₂)/2)
Hence, Option D is the correct coordinate to find the midpoint.
To learn more about the coordinates visit:
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Will award brainliest for the correct answer!
15. What is the value of the expression below?
Answer:
-4 3/8 thus A. is the answer
Step-by-step explanation:
Simplify the following:
-7/2 - (5/8 + 1/4)
Put 5/8 + 1/4 over the common denominator 8. 5/8 + 1/4 = 5/8 + 2/8:
-7/2 - (5/8 + 2/8)
5/8 + 2/8 = (5 + 2)/8:
-7/2 - ((5 + 2)/8)
5 + 2 = 7:
-7/2 - 7/8
Put -7/2 - 7/8 over the common denominator 8. -7/2 - 7/8 = (4 (-7))/8 - 7/8:
(4 (-7))/8 - 7/8
4 (-7) = -28:
(-28)/8 - 7/8
-28/8 - 7/8 = (-28 - 7)/8:
(-28 - 7)/8
-28 - 7 = -(28 + 7):
(-(28 + 7))/8
| 1 |
| 2 | 8
+ | | 7
| 3 | 5:
Answer: (-35)/8 now converto to a mixed number:
Convert to a mixed number:
-35/8
Divide 35 by 8:
8 | 3 | 5
8 goes into 35 four times. Multiply and subtract:
| | 4 |
8 | 3 | 5 |
- | 3 | 2 |
| | 3 |
The quotient is 4 (the number on top of the bracket) and the remainder is 3 (the number at the bottom of the grid):
| | 4 | (quotient)
8 | 3 | 5 |
- | 3 | 2 |
| | 3 | (remainder) invisible comma
35 = 4×8 + 3
The quotient of 35/8 is 4 with remainder 3, so:
4 3/8
Replace the negative sign:
Answer: -4 3/8
if a turtle can move 1/7 of a mile every hour, then how many hours would it take for a turtle to go 5 miles?
Answer:
35 hours
Step-by-step explanation:
1 mile would be 7 hours- 7x5=35
What is the slope of the line 3x – 9y = 4? -3, -1/3. 1/3, or 3
Answer:1/3
Step-by-step explanation:
Please help solve the image below
Answer:
x = 7.5
y = 9
Step-by-step explanation:
Remark
Notice that the symbol of the angle above 6x + 5y is the symbol for a right angle. Since all three angles are on a straight line, they are either the supplement of a right angle or a right angle.
Givens
right angle
The right angle's supplement (which is also 90degrees) of (6x + 5y)
10y = 90 degrees which a corresponding equal angle to (6x + 5y)
Solution
10y = 90 See remarks for reason. Divide by 10
10y/10 =90/10
y = 9
6x + 5y =90
6x + 5*9 = 90 Combine
6x + 45 = 90 Subtract 45 from 90
6x = 90 - 45 Combine
6x = 45 Divide both sides by 6
6x/6 = 45/6
x = 7.5
A surgery shows that 85 percent of students carry a backpack to school. Is there are 230 students in the school,how many students carry a backpack
The surface area of this cylinder is 1,582.56 square feet. What is the height?
There are five basic equations which completely describe the cylinder with given radius r and height h:
Volume of a cylinder: V = π * r² * h,Base surface area of a cylinder: A_b = 2 * π * r²,Lateral surface area of a cylinder: A_l = 2 * π * r * h,Total surface area of a cylinder: A = A_b + A_l,Longest diagonal of a cylinder: d² = 4 * r² + h².Sometimes, however, we have a different set of parameters. With this height of a cylinder calculator you can now quickly use ten various height of a cylinder formulas which can be derived directly from the above equations:
Given radius and volume: h = V / (π * r²),Given radius and lateral area: h = A_l / (2 * π * r),Given radius and total area: h = (A - 2 * π * r²) / (2 * π * r),Given radius and longest diagonal: h = √(d² - 4 * r²),Given volume and base area: h = 2 * V / A_b,Given volume and lateral area: h = A_l² / (4 * π * V),Given base area and lateral area: h = √(A_l² / (2 * π * A_b)),Given base area and total area: h = (A - A_b) / √(2 * A_b * π),Given base area and diagonal: h = √(d² - 2 * A_b / π),Given lateral area and total area: h = A_l / √(2 * π * (A - A_l)).Find the number of sides for each regular polygon using the given angle.
11) Each exterior angle is 5º.
Sides:
12) Each interior angle is 165º.
Sides:
13. Parallelogram: Yes or No
Reason:
77
103
103
77
Answer:
72sides
24sides
yes parallelogram, each opposing angle is the same
Seven more than three times a number is 58. What is the number? a. 15 b. 16 c. 17 d. 18
Answer:
3x+7=58
-7 -7
-----------------
3x = 58 - 7
3x = 51
div 3. div 3. (on both sides)
51/3 = 17
Answer is 17, so the letter would be C
Worth a lot of points! Mark brainliest if u show ur work and get the right answer.
Answers:
AC = 221.37 feet
BC = 181.34 feet
The values are approximate.
=========================================================
Explanation:
Focus on triangle ACD for now.
The 67 degree angle adjacent to angle D helps us find that angle D = 180-67 = 113 degrees.
Let's find the missing angle C.
A+C+D = 180
55+C+113 = 180
C+168 = 180
C = 180-168
C = 12
Now we can use the Law of Sines to find side d, which is opposite angle D. This is the segment AC.
[tex]\frac{\sin(C)}{c} = \frac{\sin(D)}{d}\\\\\frac{\sin(12)}{50} = \frac{\sin(113)}{d}\\\\d\sin(12) = 50\sin(113)\\\\d = \frac{50\sin(113)}{\sin(12)}\\\\d \approx 221.369 190\\\\d \approx 221.37\\\\[/tex]
Segment AC is roughly 221.37 feet long.
Keeping our attention on triangle ACD, let's find side 'a'. This is the segment CD.
[tex]\frac{\sin(C)}{c} = \frac{\sin(A)}{a}\\\\\frac{\sin(12)}{50} = \frac{\sin(55)}{d}\\\\a\sin(12) = 50\sin(55)\\\\a = \frac{50\sin(55)}{\sin(12)}\\\\a \approx 196.995 186\\\\[/tex]
Segment CD is roughly 196.995186 feet long.
----------------------------------------------
Now move onto triangle BCD.
Use the sine ratio to determine side BC.
[tex]\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\text{D}) = \frac{\text{BC}}{\text{CD}}\\\\\sin(67) \approx \frac{\text{BC}}{196.995186}\\\\\text{BC} \approx 196.995186*\sin(67)\\\\\text{BC} \approx 181.335025\\\\\text{BC} \approx 181.34\\\\[/tex]
Segment BC is roughly 181.34 feet long.
A wave is modeled with the function y = 1 /2 sin 3 θ , where θ is in radians. Describe the graph of this function, including its period, amplitude, and points of intersection with the x-axis.
Please help me… please tell me both sets of answers!
Thank you!
Answer:
Step-by-step explanation:
99 in./s = mi/day
Converting rates for 7th grade math can’t seem to figure it out
Please help! Math Class.
Data set: 10, 12, 12, 16, 24
Mean = 14.8
How are functions related to solving linear equations
A linear function is a function with the form f(x) = ax' + b. It looks like a regular linear equation, but instead of using y, the linear function notation is f(x). To solve a linear function, you would be given the value of f(x) and be asked to find x.
what is 2-3 added to 4+6
Answer:
2-3 is 1 ~
1 + 4 is 5
5+6 = 11
Step-by-step explanation:
So ur answer is 11.
A 2-liter container holds more than a 3,000-milliliter container. True or false?
To consider whether this statement is true or not
⇒ must determine the number of milliliters in a liter
⇒ 1 Liter = 1000 milliliter
To compare both containers, lets set both containers in terms of milliliters
Container 1 --> 2 Liter Capacity --> 2000 milliliterContainer 2 --> 3000 milliliterBy looking at the data
⇒ the 3000-milliliter container holds more than the2-liter container
Thus, the statement: A 2-liter container holds more than a 3,000-milliliter container
⇒ False
Answer: False
Hope that helps!
Answer:
False because 2 liters = 2,000 milliliters. Therefore that is not possible.
PLEASE HELPPP ASAPPP!
Answer:
See below ~
Step-by-step explanation:
1.
Triangle P'Q'R' is larger because it is dilated by a scale factor of 1.5, which is greater than 1, meaning it will be bigger than triangle PQR.2.
Segment P'Q' = 1.5 x 5 = 7.5It will be 7.5 because after dilation, each of the sides of the original triangle is multiplied by the scale factorPQ x 1.5 = P'Q'P'Q' = 5 x 1.5P'Q' = 7.5What did Alexander Fleming discover during his research?
options:
The nucleus of an atom
X-Rays
Penicillium
Germs
Answer:
Penicillium
Step-by-step explanation:
Your answer is option c
Scottish bacteriologist Alexander Fleming is best known for his discovery of penicillin in 1928, which started the antibiotic revolution. For his discovery of penicillin, he was awarded a share of the 1945 Nobel Prize for Physiology or Medicine
(HELP PLS) Monica is building her dream home. It will have a total floor area of 2.150 sq. ft.
a. If Monica wants the living room to be 30% of the total area, what would the living room's area be?
b. The house Monica currently lives in has only 65% of the floor area of her dream home. What is the floor area of her current home?
The living room area of Monica's home is 0.645 ft².
The floor area of her current home is 1.3975 ft²
How to find percentage of an area?
The total floor area of Monica's dream home should be 2.150 ft².
Monica wants the living room to be 30% of the total area. Therefore, the living room area will be as follows:
living room area = 30 / 100 × 2.150 = 64.5 / 100 = 0.645 ft²
Her current house has only 65% of the floor area of her dream house. Therefore, the floor area of her current home is as follows:
Floor area of her current home = 65 / 100 × 2.150
Floor area of her current home = 139.75 / 100
Floor area of her current home = 1.3975 ft²
learn more on area here: https://brainly.com/question/387648
(D) How do you write 172% as a fraction
Answer:
118/25 as a fraction hope it helps
Answer:
1 72/100 or 1 18/25 as simplified.
Step-by-step explanation:
100% is 100/100. 172/100 would be the fraction for this, but it is an improper fraction.
34. The number of songs that an MP3 player can
store varies inversely with the average size of the
song. A certain MP3 player can store 800 songs
with an average size of 4 megabytes. If the
average size of a song is 5 megabytes, how many
songs can the player store?
Answer:
Step-by-step explanation:
640
Ella is trying to determine the side lengths of a triangle. She knows that the longest side is three times longer than the shortest side. The medium side is ten more than twice the shortest side. If the perimeter is 142 cm, how long is each side?
Answer:
Step-by-step explanation:
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The perimeter of the triangle is 6a + 3 units. Write an expression in simplest form for the length of Side 3.
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The length of the third side is a-2.
Given that:
Perimeter of triangle: 6a + 3
Length of first side: 2(a+3)
Length of second side: 3a -1
Let the length of the third side of the triangle be x.
Then as perimeter of a triangle is sum of lengths of all 3 sides of the triangle, thus we have:
Thus we have length of the third side as a -2.