Answer:
y = 128(4.926)^x
Step-by-step explanation:
Exponential function: y = ab^x
x = 0, y = 128
128 = ab^0
128 = a
--------------------
a = 128, y = 371,293, x = 5
371,293 = 128 x b^5
b^5 = ( 371,293 / 128 )
b = (fifth root) 5^√2900.7265625
b ≈ 4.926
----------------------------------------
y = 128(4.926)^x
I hope this helps!
Solve the equation. 4^x + 2 = 4^12
Answer:
x = 10
Step-by-step explanation:
To solve, divide both sides by the base number then solve the exponents as an equation.
[tex]4^{x+2} = 4^{12}[/tex]
x = 10
455 cm converted to mL
slope 4/5 y intersept -8
What ratios are equivalent to 14:6 ?choose all the equivalent ratios.
7:2
7:3
28:12
28:18
Answer: 7:3 and 28:12
Step-by-step explanation:
The equivalent form of the given ratio is 7 : 3. The correct answer is option (b).
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
The given ratio is 14 : 6.
A ratio of two numbers a and b can be written in the form of fraction as,
a : b = a/b
Thus, the given ratio can be simplified as,
14 : 6 = 14/6
= 7/3
Again it can be converted into the ratio as,
7/3 = 7 : 3
Hence, the equivalent ratio of the given ratio is 7 : 3.
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Isaac has 21 green marbles and 7 blue marbles. He wants to place them in identical groups without any marbles left over. What is the greatest number of groups Isaac can make?
Answer:
9r4
Step-by-step explanation:
8.4 + y = 10.7 108 = 9r 4.
Answer:
Step-by-step explanation:
Divide: 21/7
Your answer is 3
A line passes through the point , −9−3 and has a slope of 23.
Write an equation in slope-intercept form for this line.
Answer:
y=23x+204
Step-by-step explanation:
The Slope Intercept Form of the Equation of a Line is y=mx+c
where m is the Slope and c is the y-intercept
so for our problem m=Slope = 23
so the Equation will be y=23x+c
Now to find c just substitute by the given Point
-3=23*-9+c
c=204
so the Equation will be
y=23x+204
Judy spent 3 hours driving 165 miles She thinks
she can reach her final destination in 4 more hours
if she averages 65 miles per hour. What is the total
length of the trip in miles? [Hint: To find distance,
multiply rate (miles per hour) by time.]
Step-by-step explanation:
she drove already 165 miles.
she will reach her destination, if she drives 4 more hours by going 65 miles/hour.
that would mean she would travel
65×4 = 260 miles
in these 4 hours.
so, the total trip is then 165 + 260 = 425 miles.
but what I find strange is that your teacher specified how long it took her to drive the first 165 miles.
as you can see above, it would make no difference for the calculation of the total trip length in miles.
this is either an attempt to confuse us, or the message is that Judy has to achieve an average of 65 miles/hour for the whole trip, and the problem definition was just imperfectly phrased.
if that is the case, then things look a bit different, as her average speed was only 165/3 = 55 miles/hour for the first 3 hours and 165 miles.
so,
(165 + x)/(3 + 4) hours = 65/hour
(165 + x)/7 hours = 65/hour
165 + x = 65 × 7 hours / hour = 65×7 = 455 miles
x = 455 - 165 = 290 miles
she would have to go
290 miles / 4 hours = 72.5 miles/hour
for these next 4 hours (and 290 miles) to reach an overall average speed of 65 miles/hour.
and the total trip would be then
165 + 290 = 455 miles
I am not sure, which your teacher wants here.
65 miles/hour average speed just for the next 4 hours, or to speed up that much for the next 4 hours that the overall trip average is then 65 miles/hour.
again, the phrasing of the problem definition suggests the first case, but the fact that the travel time for the first part of the trip is given could suggest the second case (as this information is not needed for the first case).
How many pairs of shoes do teenagers have? To find out, a group of AP ® Statistics students conducted a survey. They selected a random sample of 20 female students and a separate random sample of 20 male students from their school. Then they recorded the number of pairs of shoes that each student reported having. The data is given in the table.
Let 1 the true mean number of pairs of shoes that male students at the school have and 2 the true mean number of pairs of shoes that female students at the school have.
The pairs of shoes is an illustration of the point estimate of the population mean.
The teenagers have 30 pairs of shoes
How to determine the number of pair of shoes?
The question is incomplete, as the dataset to determine the number of shoes is not given.
To answer the question, I will use the following dataset
50 26 26 31 57 19 24 22 23 38 13 50 13 34 23 30 49 13 15 51
The sample mean is an estimate of the population mean.
The sample mean is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{50 +26+ 26+ 31+ 57 +19 +24 +22+ 23 +38 +13 +50 +13 +34+ 23+ 30 +49 +13 +15+ 51}{20}[/tex]
Evaluate the sum
[tex]\bar x = \frac{607}{20}[/tex]
Evaluate the quotient
[tex]\bar x = 30.35[/tex]
Approximate
[tex]\bar x = 30[/tex]
Using the assumed values, the teenagers have 30 pairs of shoes
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You are asked to make a list of possible 5-character passwords using the first 7 letters of the alphabet. How many distinct passwords can you make? Indicate whether this is a combination or permutation.
Using the permutation formula, as the order is important, it is found that 2520 distinct passwords can be made.
The order is important as abcde is a different password than edcba, hence the permutation formula is used.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 5 letters are chosen from a set of 7, hence:
[tex]P_{7,5} = \frac{7!}{(7-5)!} = 2520[/tex]
2520 distinct passwords can be made.
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Where do I plot the graph coordinates
Step-by-step explanation:
So... where it says Y=4x-1, take the 4x and plot it on the y axis, next on the equation it says -1, plot -1 on the left ( X-axis)
I hope this helps
what is the average rate of change for this quadratic function fo rate interval from x=-4 to x=-2
Answer:
ill edit my comment later but is there a graph? its not enough info
Step-by-step explanation:
not enough info i think
HELP ME PLEASE! x = ½ y what is the direct variation
7. There are 3 times as many adventure books as comic books in a bookshop. If there are 879 adventure books in the bookshop, how many comic books are there?
8. Miss Flores had 216 colored beads, She asked Kristel to share them equally with 5 other friends, How many beads did Kristel get?
9. Ann made 450 hamburgers for a fun fair. She packed them equally into 7 boxes. How many hamburgers were there in each box? How many hamburgers were left?
4. A baby monitor picks up
signals within a 50-meter
radius. How many square
meters of coverage does the
baby monitor provide?
Answer:
250 pi
Step-by-step explanation:
formula for area of a circle: pi r squared
pi times 50 squared is 250 pi
30 POINTS sort these numbers from least to greatest
Answer:
(-2)3 -60, s5, 22, -5.1, 36, 78, 97
A card is randomly selected from a standard deck of 52 cards. What is the probability that it is a
2 or an 8?
Answer:
c
Step-by-step explanation:
for this question, it helps to know what cards are in the deck. since there are four of everything (four suits), there will be four 8's and four kings. this means that we are aiming for one of 8 cards. therefore, 8/52= .1538 or answer C.
Can some one help me. Asset capital and liability please
Answer:
I hope this helps you.
Step-by-step explanation:
Assets are the economic resources belonging to a business. Assets could be money in a cash register or bank account, or items such as property, fixtures and furniture, equipment, motor vehicles, and stock or goods for resale. An important asset in businesses which sell goods or services on credit is money owed to the enterprise by customers. This asset is known as debtors.
Capital is the value of the investment in the business by the owner(s). It is that part of the business that belongs to the owner; hence it is often described as the owner’s interest.
Liabilities are the debts owed by the firm. The main types of liabilities are creditors (money owed by the business to suppliers of goods and services), bank overdrafts and bank loans.
Which point shows 1/8?
Answer:The top one on the right.
Step-by-step explanation:
Given f (x) = 2x^2 + 1 and g(x) = 3x – 5 , find the
following
f(g(2))
Answer:
3Step-by-step explanation:
Given functions:
f(x) = 2x² + 1g(x) = 3x - 5Solve in two steps
Find g(2)
g(2) = 3*2 - 5 = 6 - 5 = 1Find f(1)
f(1) = 2*1² + 1 = 2 + 1 = 3A student is making a scale model of his 30 foot long house and his scale model is 15 inches long. What is the scale factor?
Answer:
3.6/30 = 1/x
30/3.6 = 8.3333
1 inch = 8 1/3 feet
Answer:
24
Step-by-step explanation:
15 inches represent 30 feet = 30*12 inches = 360 inches
so 1 inch represent 360/15 = 24 inches
the scale factor is 24
The trip lasted 21 days. How many weeks did the trip last?
Answer:
3 is the answer
7 days make one week
21÷7 =3
Mrs Johnson is planning a bbq. There will be 18 people there. Each person will get 1/4 pound burger. How many pounds of burger meat will mrs Johnson need to buy?
Find the slope determined by the following pair of points (0,8), (2, 4)
Answer:
-2
Step-by-step explanation:
We use the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], and substitute the points (0,8) and (2,4). This gives
[tex]\frac{4-8}{2-0}=\frac{-4}{2}=-2[/tex]
as the slope.
Hello.
Since we have two points, and we are asked to find the slope of the line, let's use the slope formula:
[tex]\mathrm{m=\displaystyle\frac{y2-y1}{x2-x1}}[/tex]
Where
m is the slope
y2 is the y-coordinate of the second point
y1 is the y-coordinate of the first point
x2 is the x-coordinate of the second point
x1 is the x-coordinate of the first point
In this case, m is unknown, y2 = 4, y1 = 8, x2=2, x1=0
Plug in the values:
[tex]\displaystyle\frac{4-8}{2-0}[/tex]
[tex]\displaystyle\frac{-4}{2} =-2[/tex]
Therefore, the slope is -2.
I hope it helps!
Have a nice day!
[tex]\boxed{imperturbability}[/tex]
WORTH 100 POINTS PLEASE HELP
Answer:
The first one.
Step-by-step explanation:
A solid figure is a closed shape. If you do mental calculation, the first one is the only one that is solid, or closed.
#1
Yes it has 4 rectangles horizontal and two small rectangles sideby.
#2
It has two traingle faces
No#3
same like previous#4.
All faces are square
NoI need some help with this math problem
it's letter A
because
150×2=300
i hope this helps<3
what’s the answer to this ?
Answer:
First choice
Step-by-step explanation:
It passes through (4, 0) and (0, -4)
Slope = (0 - (-4))/(4 - 0) = 4/4 = 1
so y - 0 = 1*(x - 4)
x - y = 4
8x - 8y = 32
First choice
a man won a lotto jackpot and he spent 2/5 on luxury cars and 1/4 on buying a house. what fraction of his lotto earnings is remaining.
The fraction of his lotto earnings that is remaining is 7/20.
What is a fraction?A fraction is a portion of a whole or, more broadly, a set of equal pieces.
Let the total amount that the man won in the lotto jackpot is x.
Now, he spent 2/5 of the jackpot on luxury cars and 1/4 on buying a house, therefore, the total spending he will do is,
[tex]\dfrac{2x}{5}+\dfrac{x}{4}[/tex]
Now, the fraction of his lotto earnings that is remaining can be written as,
[tex]x-\dfrac{2x}{5}+\dfrac{x}{4}\\\\\\=\dfrac{x}{1}-\dfrac{2x}{5}-\dfrac{x}{4}\\\\\\=\dfrac{x \times 20}{1 \times 20}-\dfrac{2x \times 4}{5 \times 4}-\dfrac{x\times 5}{4\times 5}\\\\\\=\dfrac{20x-8x-5x}{20}\\\\=\dfrac{7x}{20}[/tex]
Hence, the fraction of his lotto earnings that is remaining is 7/20.
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help me find x please
Answer:
132°
Step-by-step explanation:
An inscribed angle is half the measure of the arc it subtends. This means arc CB is twice the measure of inscribed angle CAB, so ...
arc CB = 2×∠CAB = 2×40° = 80°
Arc AC is twice the measure of inscribed angle ABC, so ...
arc AC = 2×∠ABC = 2×26° = 52°
The measure of central angle AOB is the same as the measure of arc AB.
x = ∠AOB = arcs AC +arc CB = 52° +80°
x = 132°
Which sentence includes a descriptive adjective in a prepositional phrase?
A) The high-stepping band played with a lively beat.
B) The brass horns sparkled in the sun.
C) Baton-twirlers tossed their tasseled sticks high.
D) They wore tall hats trimmed with braid.
Answer:
The option c is the descriptive adjective in a prepositional phrases.
The graph shows the amount customers pay for x pounds of cheese at a deli counter. Customers pay a certain price per pound up to exactly 5 pounds. If a customer buys more than 5 pounds. then the price per pound for the entire purchase is discounted.
The amount the customers pay is an illustration of a piecewise functions
The equations of the piecewise functions are: [tex]y = \left[\begin{array}{cc}5x&0 < x \le 5\\4x&x > 5\end{array}\right[/tex]
How to determine the equation of the piecewise function?For the first function, we have the following points.
(x,y) = (0,0) and (4,20) for 0 < x <= 5
Since the line passes through the origin, the equation of the line would be:
[tex]y = \frac{y_1}{x_1} * x[/tex]
So, we have:
[tex]y = \frac{20}{4} * x[/tex]
[tex]y = 5x[/tex] 0 < x <= 5
For the second function, we have the following points
(x,y) = (8,32) and (9,36) for x > 5
The equation of the line would be:
[tex]y = \frac{y_1-y_2}{x_1-x_2} * (x - x_1) + y_1[/tex]
So, we have:
[tex]y = \frac{36-32}{9-8} * (x - 8) + 32[/tex]
[tex]y = 4(x - 8) + 32[/tex]
[tex]y = 4x - 32 + 32[/tex]
[tex]y = 4x[/tex] x > 5
Hence, the equations of the piecewise functions are:
[tex]y = \left[\begin{array}{cc}5x&0 < x \le 5\\4x&x > 5\end{array}\right[/tex]
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