Answer:
212 feet fallen after 7 seconds
Step-by-step explanation:
You visit the Grand Canyon and drop a penny off the edge of the cliff. The distance the penny will fall is 32ft for the first second, 62ft the next second, 92ft the third second, and so on. How far will the penny have traveled after 7 seconds?
if 32 ft for 1 second
if 62 ft for 2 second
if 92 ft for 3 second
We see that the penny from second 1, falls an addition 30 ft/s.
equation: 32 + 30 (t - 1)
when t = 7 seconds:
32 + 30 (7 - 1)
32 + 30 (6)
32 + 180
= 212 feet fallen after 7 seconds
- 7 (x + 2) - x = 2
Please help!!!
Answer:
-2
Step-by-step explanation:
Answer:
x=-2
Step-by-step explanation:
distribute
-7x-14-x=2
-8x-14=2
+14. +14
-8x=16
/-8. /-8
x=-2
Hopes this helps please mark brainliest
[tex]\frac{5\sqrt{7} }{\sqrt{35} }[/tex]
The simplified expression of the radical expression given as 5√7/√35 is 7
How to evaluate the expression?From the question, we have the following expression that can be used in our computation:
5√7/√35
The above expression is a fraction and at the same time it is a radical expression
The denominator of the fraction is √35
So, we start by rationalizing the expression by the fraction
This is represented as
5√7/√35 = 5√7/√35 * √35/√35
Evaluate the products of the numerator
So, we have the following representation
5√7/√35 = 5√245/√35 * 1/√35
Evaluate the products of the denominator
So, we have the following representation
5√7/√35 = 5√245/35
Simplify the fraction
This gives
5√7/√35 = √245/7
Simplify the fraction
5√7/√35 = 7√5/7
So, we have
5√7/√35 = 7
Hence, the simplified expression is 7
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Ramundo is shopping for a new pair of rollerblades. Roller World sells a pair of rollerblades for $94 regular price. Currently, the rollerblades are on sale for 15% off. Outdoor Adventures sells the same pair of rollerblades for $81.50 with no discount. The sales tax rate in Ramundo's city is 6%.
Part A
To get the better deal, Ramundo should buy the rollerblades from , 1 of 2.
Select Choice
.
Part B
In doing so, he will save , 2 of 2.
Select Choice
(after tax) over the other store.
Ramundo will get a better deal at Roller worlds.
This is a question of percentages.
Given that:-
Regular price of rollerblades at roller world = $ 94
Discount at rollerworld = 15 %
Price of rollerblades at Outdoor adventures = $ 81.50
Sales tax = 6 %
Price of rollerblades at roller world after discount = 94 - (15/100)*94 = 94 - 14.1 = $79.9
Price of rollerblades at roller world after sales tax = 79.9 + (6/100)*79.9 = 79.9 + 4.794 = $ 84.694
Price of rollerblades at outdoor adventures = $81.50
Price of rollerblades at roller world after sales tax = 81.50 + (6/100)*81.50 = 81.50 + 4.89 = $ 87.39
As,
$ 84.694 < $ 87.39
Ramundo will get a better deal at Roller worlds.
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what is the 5th letter of the alphabet
The 5th letter of the alphabet is E.
What is an alphabet?An alphabet is a standardized collection of basic written symbols or graphemes that represent the phonemes of different spoken languages.
The letter a begins the English alphabet and ends with the letter z. The alphabet is always written in the same order: a-b-c-d-e-f-g-h-i-j-k-l-m-n-o-p-q-r-s-t-u-v-w-x-y-z. A-B-C-D-E-F-G-H-I-J-K-L-M-N-O-P-Q-R-S-T-U-V-W-X-Y-Z. This is known as "alphabetical order."
The set of 26 symbols represents sounds used in speech and writing. Each character in a syllabary, for example, represents a syllable, whereas characters in logographic systems represent words, morphemes, or other semantic units. In this case, E is the 5th letter.
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in this exercise you are asked to approximate the growth of the world population using the logistic differential equation:
From the logistic population differential equation for approximate the growth of the world population , which is given here as [tex]P = L/1+ e^{-k(x-x_{0} )[/tex]
The general form of the logistic population equation is given as [tex]dP/dt = kP(1- P/L)[/tex]. While k is the relative growth rate, L is the carrying capacity.An ordinary differential equation with a logistic function as the solution is known as a logistic differential equation. Standard exponential functions do not account for the limitations that prevent infinite growth, but logistic functions correct this oversight. This is how bounded growth is represented by logistic functions. These contexts include machine learning, chess ratings, medical therapy (e.g., modelling tumour growth), economics, and even language adoption research.
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PLEASE HELP!
4. The last couple of years in the winter season, Mrs. Blair has had to take many days off for one of her kids being sick. She has determined that each kid has a 63% chance of getting sick at some point in the winter months. She has 4 kids.
a) What is the probability that all her kids get sick this winter?
b) What is the probability that at least one kid will get sick this winter?
5. Challenge Problem: If A U B = S (Sample Space), P (A and B) = .25, P (A) = .35, then P(B) = ???
Step-by-step explanation:
4a)
that means all 4 events happen in combination as one event.
so, we have to multiply the probabilities of all 4 events.
that means
0.63⁴ = 0.15752961... ≈ 0.16
so, there is a 16% chance that all 4 children get sick.
in other words, the probabilty for that is about 0.16.
b)
the probabilty of at least 1 kids getting sick is the opposite of the probability of no kids is getting sick.
the probability of getting sick is 0.63, so the probability of not getting sick is 1 - 0.63 = 0.37.
the probability of no kids getting sick is similar to a)
0.37⁴ = 0.01874161 ≈ 0.02
the probabilty of at least one kid getting sick is the opposite of that :
1 - 0.01874161... = 0.98125839 ≈ 0.98
5)
A u B is the sample space. so, any possible event is either part of A or B or both.
that means
P(A') = 0.35 = 1 - P(A)
P(A) = 1 - 0.35 = 0.65
P(A and B') = P(of every A that is not B) = 0.25.
because P(A) = 0.65
that means that
P(A and B) = P(every A that is also B) =
= 0.65 - 0.25 = 0.4
P(B) = P(A') + P(A and B) = 0.35 + 0.4 = 0.75
FYI
we could have gotten this directly from
P(A and B') = P(of every A that is not B = everything that is only A) = 0.25.
because
P(A and B')' = P(of everything that is not "only A" = everything that is B) = P(B) = 1 - 0.25 = 0.75
Complete the square to re-write the quadratic function in vertex form:
y = 7x²56x + 117
The answer to the given quadratic equation is y = ( x + 4 )²
How do we solve a question by completing the square method?A(x + m)2 + n is the formula for completing the square, where m is any real number and n is a constant factor.
The following straightforward formula can be used to finish the square instead of the intricate step-by-step procedure. Find the following in order to complete the square in the phrase ax2 + bx + c:
N = c - (b2/4a) and m = b/2a
Enter these numbers where they belong: ax2 + bx + c = a(x + m)2 + n. These equations are geometrically derived.
Given : A quadratic equation y = 7x² + 56x + 117
this can also written as y = x² + 8 x + 17
y = x² + 4² - 4² + 17
y = ( x + 4 )²
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Factorise fully
12m + 8m²
Answer:
Step-by-step explanation:
3.4.m+2.4.m.m
4m(3+2m)
can somone help will mark u brainliest
is the drink proportinal?
The proportional of price of the drink to the number of ounces is 0.2.
In the given question we have to find the proportional of price of the drink to the number of ounces.
As given from the table that;
Drink Size (oz) 12 16 20
Price (dollars) 2.40 3.20 4.00
If we find the proportional of price of the drink to the number of ounces. Then;
Price of the drink/Number of drink = 2.40/12 = 3.20/16 = 4.00/20
Price of the drink/Number of drink = 0.2 = 0.2 = 0.2
So we can see that the proportional of price of the drink to the number of ounces is 0.2.
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Answer:
Yes it is proportional.
Neel buys 8 dog treats for 4.40. what cost per dog treats
The cost per dog treat is 0.55 dollars
How to determine this,
The cost of 8 dog treats is 4.40 dollars
And the number of 1 dog treat is x dollar
x dollar=4.40 dollars×1 dog treat/8 dog treats
x=0.55 dollar per one dog treat
To complete the table,
For 18 dog treats
when 1 dog treat is 0.55 dollar
18 dog treats is x dollar
x=18 dog treats×0.55 dollar/1 dog treat
x=9.9dollars
For 25 dog treats,
when 1 dog treat is 0.55 dollar
for 25 dog treats is x dollar
x=25 dog treats×0.55 dollar/1 dog treat
x=13.75 dollars
For 6.05 dollars,
when 1 dog treat is 0.55 dollar
x dog treat is 6.05 dollars
x=6.05 dollars×1 dog treat/0.55 dollar
x=11 dog treat
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Answer:
Step-by-step explanation: 0.55
my computer crashes on average once every 4 months. what is the probability that it will not crash in a period of 4 months.
The probability that a computer will not crash in a period of 4 months is 0.632.There is a 75% chance that the computer will not crash in a period of 4 months.
To solve this problem stepwise, first calculate the probability that the computer will crash in a given month. This can be done by using the Poisson distribution. The probability that the computer will crash in a given month is 0.0333.
Next, calculate the probability that the computer will not crash in a given month. This is simply 1 - 0.0333, or 0.9667.
Now, to calculate the probability that the computer will not crash in a period of 4 months, simply take the probability of not crashing in a given month and raise it to the 4th power. This gives us a probability of 0.632.
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The average time it takes college freshmen to complete the mason basic reasoning test is 24.6 minutes. the standard deviation is 5.8 minutes. find the probability that the average completion time for a sample of 28 students will be more than 24 minutes. give your answer as a percent rounded to two decimal places (to the nearest hundredth).
The probability that the average completion time for a sample of 28 students will be more than 24 minutes is 0.46
The mean of freshman mason basic completion time is 24.6 minutes
The standard deviation is 5.8 minutes
The probability of completion for a sample of 28 students will be more than 24 minutes and can be found using the normal distribution,
P(x > 24)
We need to find the standard form of this random sample using the formula,
Z = X - μ / σ
where Z is the standard form
X is the random sample
μ is the mean
σ is the standard deviation
Let us substitute the known values in the above equation, we get
Z = 24 - 24.6/5.8
= -0.6 / 5.8
= -0.103
So the standard form is
P(x > 24) = P(z > -0.103)
By using the z-table, we could find the value of z,
P(z > -0.103) = 0.46
Therefore, the probability is 0.46
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11. Write an equation in vertex form for the parabola below.
Answer:
Step-by-step explanation:
1. The vertex is where the parabola is changing from increasing to decreasing
2. From the picture, we can see that the vertex is at (1,2)
3. The formula for vertex form is f(x)=a(x-h)^2+k
4. Vertex is (1,2) or (h,k)
5. You can see that the parabola opens upside down like a "n" so it has been reflected in the x axis
6. So, your equaltion is f(x)=-(x-1)^2+2
7. In this cause you can see that a=-1, but if not given you would choose a random point on the parabola and plug it in :). Example:(0,1): 1 = a(0-1)^2+2
a=-1.
8. Your answer: f(x)=-(x-1)^2+2
you have $4000 with which to build a rectangular enclosure with fencing. the fencing material costs $30 per meter. you also want to have two partitions across the width of the enclosure, so that there will be three separated spaces in the enclosure. the material for the partitions costs $25 per meter. what is the maximum area you can achieve for the enclosure? (round your answer to the nearest whole number.) incorrect: your answer is incorrect. m2
The enclosure can be as large as 606 m2 in total.
Given that,
Let x be length of y be width of enclosure
fencing material cost $ 30 / m
Partition material cost $25/m
Total cost = (x+x+y+y)x 30+(y + y) x 25
c= 60(x+y) + 50y = 60 x + 110 y
4000 = 60 x + 110y
y = ( 400 - 6x / 11)
Now,Area of enclosure = x*y
A = x*(400 - 6x / 11)
A'(x)= 400-12x/11
for maximum area A'(x) = 0
400 - 12x/11 = 0,12x = 400,x = 100/3
A " ( x) = - 12/11 < 0 i.e., maximum
y = 400 - 6( 400/12 ) = 200/11 m
Maximum area = xy = 100/3 * 200/11 = 20000/33
=606.0606
A max = 606m²
Hence, the maximum area you can achieve for the enclosure is 606m²
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about 2% of the population has a particular genetic mutation. 300 people are randomly selected. find the standard deviation for the number of people with the genetic mutation in such groups of 300.
0.0147 is the standard deviation for the number of people .
How to interpret a standard deviation?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high. The standard deviation calculates how much the data vary from the mean value. It is helpful for contrasting data sets that might have the same mean but a different range.standard deviation = sqrt(p*(1-p)/n)
= sqrt(0.07 * 0.93/300)
= 0.0147
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help meeeeeeeeeee pleaseeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
h = 289 feet
Step-by-step explanation:
Comment
You need two givens to use in the formula to solve for the third.
Formula
v = sqrt(2*g*h)
Givens
V = 136 ft/s
g = 32 ft/s^2
h = ?
Solution
v = sqrt(2*g*h) Put the givens into the formula.
136 = sqrt(2* 32 * h) Square both sides
136^2 = sqrt(2*32*h)^2 Expand
18496 = 64* h Divide by 64
18496/64 = 64*h/64
289 feet = h
So the object must fall 289 feet before it reaches 136 m/s
Tyshawn has $600 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $237.49.
He buys 3 bicycle reflectors for $14.57 each and a pair of bike gloves for $34.52.
He plans to spend some or all of the money he has left to buy new biking outfits
for $71.07 each.
●
●
Use the drop-down menu below to write an inequality representing o, the number of
outfits he can buy while staying within his budget.
Answer: The answer would be 4 biking outfits o=4
Step-by-step explanation:
First add all the money he spent excluding the outfits. The answer would be 315.72. Then subtract 600 and 315.72 = 284.28. Last multiply 71.07 by 4 which gets you 284.28. The EXACT amount he has left. Answer is he can be 4 new biking outfits within his budget. Hope I could help!
A chocolatier makes chocolate bon-bons in the shape of a sphere with a radius of 1.7 cm. The chocolate used in the bon-bons has a density of 1.32 g/cm^3 3 . If the chocolate used costs $0.03 per gram, how much would the chocolate for 190 bon-bons cost, to the nearest cent?
The cost of 190 bon-bons is $154.8
According to the question ,
The shape of chocolate bon-bons is Sphere
Radius of sphere = 1.7cm
Density = 1.32g/cm³
[tex]Volume \ of\ sphere = \frac{4}{3}\pi r^{3}\\[/tex]
[tex]Volume of chocolate bon-bons = \frac{4}{3}\pi (1.7)^{3}[/tex]
[tex]= \frac{4}{3}\pi (4.913)\\= 20.5795cm^{3}[/tex]
Weight of bon-bons = volume × density
weight = 20.5795 × 1.32
= 27.1649g
Given , the cost of chocolate = $0.03
then cost of bon-bons = 0.03 × 27.1649
= $0.81494
We have to find cost of 190 bon-bons.
Cost of 190 bon-bons = 190 × 0.81494
= $ 154.8
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Lines n and o are parallel and are cut by the transversal p.
What is the value of x?
Answer:
Step-by-step explanation:
here the alternally exterior angle sum property:
48°+(2x+2)°=180°
⇒2x+2°=180°-48°
⇒2x+2°=132°
⇒2x=130°
⇒x=65°
If f(x) = x, when g(x) = f(x) - 10 is graphed on the same coordinate grid, which statement describes the relationship of the graphs of f and g?
The graph g(x) is graph of f(x) translated down 10 units.
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is plotted as a series of markers, or dots, and is then connected to one another by a straight line.
Usually, data that changes over time is represented by a line graph.
Given:
f(x) = x, when g(x) = f(x) - 10
As, from the graph we can see that both function f(x) and g(x) shows a parallel relation.
Also, the function f(x) is subtracted from 10 then the function is translated down by 10 units.
Hence, g(x) is graph of f(x) translated down 10 units.
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Write the equation of the line that passes through the points (−3,−5) and (−2,−4). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
Hello I’m doing my math homework I just need the answers for 23 and that’s just it . ABCDEF all right thank you please get me ASAP,
Answer:
A. -9, -6, 8, 13
B. -4/5, -1/2, -.2, .25
C. -8/3, -2 1/2, 9/2, 4.75
D. -8, -3, -1, 4
E. -1/2, -1/4, .5, 3/4
F. -3/2, -5/4, -4/5, 1.5
Step-by-step explanation:
The easiest thing to do is to put them all in the same format. Fractions are just division problems, so just divide. 4/5 is 4 divided by 5, which is .8.
Remember, the farther a negative number is from 0 on the number line, the smaller it is. So, -8 is smaller than -5. -5 is smaller than -2, etc.
A person invested $440 in an account growing at a rate allowing the money to double every 8 years. How long, to the nearest tenth of a year would it take for the value of the account to reach $2,860?
The time that It would take for the value of the account to reach $2,860 is; 21.6 years
How to solve compound interest problems?We are told that a person invested $440 in an account growing at a rate allowing the money to double every 8 years. Thus, the account balance can be modeled by the equation;
A = 440(2)^(t/8)
where;
A is final amount
t is in years
We want to find t when A = 2860. Thus;
2860 = 440(2^(t/8))
divide both sides by 440 to get;
6.5 = 2^(t/8)
log(6.5) = (t/8)log(2)
t = 8 * log(6.5)/log(2)
t ≈ 21.604
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Solve 6/k= cos 46°
Give your answer to 2 d.p.
What does 1.03 estimate to math
Answer:
provide context
Step-by-step explanation:
Tell whether x and y show a positive, negative, or no relationship
Answer:
negative, as the points are slowly making their way "down" the graph :)
Given the relation {(3,4),(-2,1),(0,6),
(5,-3)), what is the domain of the
relation? Pls help I’m stressing out about it and ik i SHOULDN’T but I can’t help it tbh
Answer:
I think that the answer is going to be 34-21+6=19
3.13 test: congruence and constructions
Answer:
The angle-angle-side postulate. A.A.S
Step-by-step explanation:
Tanks are used to deliver liquid fuel to a factory. each tank holds 22.5 cubic yards of fuel. the weight of 1 cubic yard of fuel is 0.74 tons. the fuel will be stored in containers that each holds 7.4 tons of fuel. how many containers of this size are needed to hold all the fuel from 12 tanks?
27 containers are needed to hold all the fuel from 12 tanks.
How do you prove that?We are given that each tank holds 22.5 cubic yard of fuel, the weight of 1 yd³ (cubic yard) of fuel is equal to .74 tons, and each container holds 7.4 tons of fuel. Solving this problem would involve converting units.
In order to find out how many containers of the size are needed to hold all the fuel from 12 tanks, first we need to find how much fuel is delivered by 12 tanks. Since 12 x 22.5 = 270, 12 tanks are used to deliver 270 yd³ of fuel.
Next we convert it to tons. Recall that 1 yd³ of fuel is equal to .74 tons. Therefore, 270 yd³ = 270 x .74 = 199.8 tons.
A container holds 7.4 tons of fuel. 199.8 ÷ 7.4 = 27, hence 27 containers are needed to hold all the fuel.
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