We will know 8 complete names after 2 days and 20 complete names after 8 days.
Here, we are given an exponential function: f(t)= c{1- [tex]e^{-kt}[/tex]}
where f(t) = number of tasks learned.
c = total number of tasks to be learned
k = rate of learning
t = time
Now, when we move to a new school, number of names we need to learn ⇒ c = 25
learning rate for new tasks = 20%
⇒ k = 0.2
and time = 2 days
⇒ t = 2
Substituting these values in the given function we get-
f(2) = 25{1- [tex]e^{-0.2 *2}[/tex]}
= 25{1- [tex]e^{-0.4}[/tex]} [tex]e^{-0.4}[/tex]
= 0.67
Thus, f(2) = 25( 1-0.67 )
f(2) = 25(0.33)
f(2) = 8.25
Thus, we will be able to learn 8 complete names in 2 days.
If t = 8f(8) = 25{1- [tex]e^{-0.2 * 8}[/tex]}
= 25{1- [tex]e^{-1.6}[/tex]}
= 25(1- 0.20)= 25(0.80)
= 20
Thus, we will be able to learn 20 complete names in 8 days.
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Number line draw the intersection in the union of the following intervals (-7, 0) and (-3, 5)
The intersection and the union of the intervals (-7, 0) and (-3, 5) are (-3,0) and (-7,5) respectively
Given,
The intervals = (-7,0) and (-3,5)
Draw the intersection and union of the intervals in the number line
The intersection is an interval that lies within the both intervals (-7,0) and (-3,5)
Intersection of the intervals (-7,0) and (-3,5) = (-3,0)
The union is the set that consist of all the elements in the first interval and all the elements in the second interval
Union of the intervals (-7,0) and (-3,5) = (-7,5)
Hence, The intersection and the union of the intervals (-7, 0) and (-3, 5) are (-3,0) and (-7,5) respectively
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In january of 2019, the american midwest experienced record-breaking freezing temperatures. A certain metropolitan area in wisconsin, with a residential population of over 1. 15 million, experienced daily average temperatures as low as minus 28 degrees fahrenheit. Hospitals saw a steady stream of patients reporting symptoms of frostbite. In the aftermath, a survey was conducted in order to estimate the true proportions of individuals afflicted by frostbite during the extreme weather. 289 residents were selected via simple random sampling and 273 reported not having any symptoms. What was the sample proportion obtained by the survey? give your answer to 3 decimal places. For help on how to input a numeric answer, please see instructions for inputting a numeric response.
The proportion of the sample obtained from the survey is 0.055
What is a percentage?
The percentage is a mathematical operation that is expressed with the symbol "%" is a relationship that allows us to know the portion of an initial value to represent a set.
It could also be defined as a representation of an original value that lets us know a certain number of elements that we want from that original value or set.
To solve this problem, we use a simple rule of three to find the percentage value of the sample.
289 -------- 100%
273 --------- x
x = (273 * 100%) / 289
x = 94.46%
100% - 94.46% = 5.53%
The ratio in propotion with 3 decimals is
5.53/100 = 0.055
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I will Mark Brainly to you. please help its a math question (geometry )
Thank you so much. take care
Similarly to the question i just answered the sum of all exterior angles in any polygon is 360, so the sum equals to 360
5(10h²-20h -30) what’s the answer it’s dueee today
I could be wrong, but your answer should be: [tex]50h^2-100h-150[/tex].
--------------------------------------------
Hope this helps!
Have a great day and God bless! :)
Answer:
[tex]50h^{2} -100h -150[/tex]
Step-by-step explanation:
Assuming that h has no defined value, all we have to do here is multiply every defined number(non-variable numbers) in the parentheses here by 5.
[tex]5(10h^{2} -20h -30)[/tex] Given
[tex]50h^{2} -100h -150[/tex] 5x10=50, 5x(-20)=-100, and 5x(-30)=-150
x(x-6) < 7
Solve the quadratic inequality. Write the solution set in interval notation.
Answer:
- 1 < x < 7 or x ∈ (- 1, 7)=============================
Given inequalityx(x - 6) < 7Distribute and simplify, then find the x-intercepts:
x(x - 6) < 7x² - 6x < 7x² - 6x - 7 < 0x² - 7x + x - 7 < 0x(x - 7) + (x - 7) < 0(x + 1)(x - 7) < 0The x- intercepts are:
x + 1 = 0 and x - 7 = 0x = - 1 and x = 7Since the leading coefficient is positive, the graph opens up, so the interval between the x-intercepts is negative:
- 1 < x < 7 or x ∈ (- 1, 7)
Find the values of X & Y
By using the fact that the two lines with the purple arrow are parallel, We can conclude that the angles are y = 133° and x = 47°
How to find the measures of angles x and y?First, notice that the two lines with the purple arrow are parallel lines, and these lines are intersected by the same line, then the 4 angles formed in the above line are the same ones than in the below line.
So, if the angle in the fourth quadrant of the above intersection is the same as the angle in the fourth quadrant of the below intersection, then we can see that:
y = 133°
And x + y should be equal to 180°, then:
133° + x = 180°
x = 180° - 133° = 47°
We can conclude that the angles are y = 133° and x = 47°
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i dont know how people understand this.. help please
Based on the alternate exterior angle theorem, if m<1 = m<2, the statement which is true is that: B. n || m.
What are parallel lines?Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
What is the alternate exterior angle theorem?The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed are congruent or angles of equal measure.
In this context, we can reasonably infer and logically deduce that the true statement which best proves that lines n and m are parallel is that angle 1 is congruent to angle 2 because by definition, all alternate exterior angles are congruent, if two (2) parallel lines are cut by a transversal.
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Which of the following could be a real-world description of the quantity three times x end quantity divided by 8?
The real world representation of the given statement is the expression 3x/8
From the question, we are to write the real world description of the given statement.
The given statement is
"the quantity three times x end quantity divided by 8"
To write the real world description of the given expression, we will write the expression as a mathematical statement
Writing the expression as a mathematical statement
'quantity three times x" can be written as
3 × x
= 3x
Then,
"the quantity three times x end quantity divided by 8" becomes
3x ÷ 8
= 3x/8
Hence, the real world representation of the given statement is 3x/8
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8x+3=8x what’s the anwser to this question
Answer: 0 = -3, The input is a contradiction: it has no solutions
Step-by-step explanation: Is in the photo Screenshot
Pls help and explain
Solve for v
-11.4+5v=1.1
Consider this right triangle with the given measures.
A triangle has side lengths 5 inches and 12 inches. The hypotenuse is unknown.
What is the length of the hypotenuse?
1. 52 + 122 =c2
2. 25 + 144 =c2
3. 169=c2
The length of the hypotenuse is 13 inches
What is the length of the hypotenuse?A right triangle is a three-sided polygon. For right triangles, the sum of the square of the two sides is equal the square of the longest side. The sum of the angles in a right triangle is 180 degrees of which one of the angles measure 90 degrees.
According of the Pythagorean Theorem, a triangle is a right triangle if the sum of the square of the two sides is equal the square of the longest side.
The Pythagorean Theorem: a² + b² = c²
Where:
a = lengthb = basec = hypotenuse5² + 12² = c²
25 + 144 = c²
169 = c²
c = √169
c = 13 inches
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The other person deserves Brainliest, they put tons of work Into answering the question
Two financial institutions offer different deals to new customers. The first bank offers an interest rate of 3% for the first year and 2 % for the next two years. The second bank offers an interest rate of 2.49 % for three years. You decide to invest the same amount of principal in each bank. To answer the following, assume you make no withdrawal or deposits during the three-year period.
b. Write a function that represents the total amount of money in the account in the second bank after three years.
Total amount of money in the account in the second bank after 3 years will be represented by the function: P[tex]e^{0.0747}[/tex].
The formula for calculating the amount (A) on a principal (P) invested at the rate of r%, compounded continuously after t years is-
A = P[tex]e^{rt}[/tex]
Here, we are given that there are 2 financial institutions-
1st financial institution:
interest rate = 3% for the first year
and interest rate for next two years = 2%
2nd Financial institution:
interest rate = 2.49% for three years
Let the principal amount deposited be P
We assume that the interest is compounded continuously.
Then for the 2nd bank-
Amount = P[tex]e^{rt}[/tex]
here, r = 2.49%
= 0.0249
Amount = P[tex]e^{0.0249 * 3}[/tex]
= P[tex]e^{0.0747}[/tex]
Thus, the total amount of money in the account in the second bank after 3 years will be given by the function- P[tex]e^{0.0747}[/tex].
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Consider the sequence with first term 2 and second term 4. If these are the first two terms of a geometric sequence, what is the third term?
The third term of a given geometric sequence based on common ratio 2 is 8.
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
Given a geometric sequence.
First term = 2
Second term = 4
Common ratio = Next term / previous term
Common ratio = 4/2 = 2
So,
Common ratio = Third term / second term
The third term = common ratio × second term
The third b = 2 × 4 = 8
Hence "The third term of a given geometric sequence based on common ratio 2 is 8".
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If 134n=54eight find n
Answer:
4.09
Step-by-step explanation:
n = 548/134
A punch recipe calls for one and 12 quarts of sparkling water and 3/4 of courts of grape juice how much of each ingredient would you need to make 75 quarts of punch sparkling water group juice
Answer:
a punch recipe calls for one and 12 quarts of sparkling water
Step-by-step explanation:
Answer:
Sparkling water: 50 quarts
Grape Juice: 25 quarts
Step-by-step explanation:
The punch recipe uses 1 1/2 quarts of water and 3/4 quarts of grape juice
That would make a total of
1 1/2 + 3/4 = 3/2 + 3/4 = 6/4 + 3/4 = 9/4 quarts of punch
Therefore to make 75 quarts, we have to figure out how many of 9/4 quarts would be needed.
This is 75 ÷9/4
Dividing by 9/4 is same as multiplying by 4/9
75 ÷9/4 = 75 x 4/9 = 300/9 = 100/3
So we will need 100/3 times as much of both ingredients
For sparkling water this would be
1 1/2 x 100/3 = 3/2 x 100/3 = 300/6 = 50 quarts
For grape juice we will need
3/4 x 100/3 = 300/12 = 25 quarts
(Or we can subtract 50 from 75 to get 25 quarts)
find three consecutive odd integers such that the third is 9 more than twice the sum of the first and second
Answer:
Step-by-step explanation:
let the three consecutive odd numbers be x,x+2,x+4
9+x+4 = 2(x+x+2)
thus x =
Divide and simplify. ∛64 x⁹ y³ / ∛8 x³
Solving the problem by Dividing and simplifying we have as a result 2x⁶y³
What is a division?A division is a basic mathematical operation, which has the purpose of dividing a number or element into two or more equal parts, as follows:
Dividend |_divisor
Divisions can also be expressed as a fraction as : a/b
What is simplification?Simplification is a process of reducing terms to expressions, which do not generate changes or values.
The algebraic expression we will divide and simplify to its smallest expression is:
∛64x⁹y³ / ∛8 x³
We solve the cube roots and substitute results, to split terms
∛64 = 4∛8 = 24x⁹y³ / 2x³
we can see that it is an expression that has two variables
2x⁹⁻³y³
2x⁶y³
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Which Pythagorean identity is correct?
O sin²(e)+1=cos²(e)
O tan²(e)+1=sec²(e)
O 1-cot²()-csc²(e)
O 1-cos²(e)-tan²(e)
Correct answer is B. The value of tan²(e)+1 is sec²(e).
What are trigonometric ratios?Triangle side length ratios are known as trigonometric ratios. In trigonometry, these ratios show how the ratio of a right triangle's sides to each angle. Sine, cosine, and tangent ratios are the three fundamental trigonometric ratios.
In geometric figures, unknown angles and distances are derived from known or measured angles using trigonometric functions. The necessity to calculate angles and distances in disciplines like astronomy, mapmaking, surveying, and artillery range finding led to the development of trigonometry.
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Answer:
The second one is correct.
Step-by-step explanation:
The second one is correct.
The three identities which connect the squares of the trig ratios are
sin^2 x + cos^2 x = 1
sec^2 x = 1 + tan^2 x ( the second one in the question is rearranged)
cosec^2 x = 1 + cot^2 x
An aid to remembering the last 2 is:
the left side ratio comes before the right in alphabetical order.
in a distribution that is skewed right, it is implied that the mean is the median. hint: draw it out! group of answer choices equals to smaller than insufficient information to answer greater than
If the distribution is skewed right, the mean is greater than the median.
A distribution is said to be skewed right if more than half the area under the distribution curve is to the right of the mode of the distribution. Also the tail of the distribution will be longer on the right side. In this case, the distribution is said to be positively skewed.
Then the mean of the distribution will be greater than the median of the distribution.
i.e., mean > median
Likewise, the distribution is said to skewed left if more than half of the area under the distribution curve is on the left side.
Also if a distribution is not skewed, then it is said to be symmetric.
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A person who weighs 125 pounds on Earth would weigh 47 2/10 pounds on Mercury. Set up a proportion and solve using means and extremes to determine how much a child who weighs 50 pounds on Earth would weigh on mercury.
Answer:
7. A person who weighs 125 ponon Earth would weigh on Mercury. S a proportion and solve using means and extremes to determine how much a child w weighs on Earth would weigh on Mercury.
Step-by-step explanation:
One January day in Munich, the temperature at noon was 3°C. At midnight the
temperature was -8°C. Write down the difference between these two
Temperatures.
Difference between temperatures is 11°C
As in the given problem we are provided data as
Temperature in Munich at Noon: 3°C
Temperature in Munich at Midnight: -8°C
to find out the difference we need to substract the temperature
Thus, Difference between temperatures will be:
3°C -(-8°C)
=> 3°C + 8°C
=> 11°C
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What is the coefficient in this expression 2 + m/4
The average cost of regular gasoline in texas increased by 35% from
2010 to 2013. if the average cost of a gallon of gas in 2010 was $2.53, what was the
average cost in 2013? round to the nearest cent
Average cost of a gallon of gas in Texas in 2013 was $3.42.
Given,
Average cost of a gallon of gas in Texas in 2010 = $2.53
From 2010 to 2013 average cost of regular gasoline in Texas increased by 35%
We have to find the average cost of a gallon of gas in Texas in 2013:
= Average cost in 2010 × (135/100)
= 2.53 × (135/100)
= 2.53 × 1.35
= 3.4155
≈ 3.42
That is, the average cost of a gallon of gas in Texas in 2013 was $3.42 approximately.
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2(x+4)= 4x + 3-2x+5
does it equal an integer, no solution, or infinite solution?
what is 2.34 written as a percentage
Answer:
23.4%
Step-by-step explanation:
10 = (2.34 / 10) x 100% = 23.4%.
ANSWER RIGHT AWAY FOR 14 POINTS
what is 9,349,000,000,000 in scientific notation
9.349 × 10^12 (^ means to the power of)
The distance on the map between Yappy city and Quiet city is 23 cm.
What is the actual distance between citys?
The actual distance between Yappy city and Quiet city when it is 23 cm in map is 9.2 miles.
What is scaling ?
It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.
It is given that :
The distance on the map between Yappy city and Quiet city is 23 cm
and,
5cm = 2 miles
now, for 1 cm on map it is equal to 2/5 miles of actual distance.
Therefore to find the actual distance of 23 cm in map we simply multiply 23 with 2/5 :
actual distance :
2/5 x 23 = 9.2 miles
Therefore, the actual distance between Yappy city and Quiet city is 9.2 miles.
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HELP ASAP PLS
PLSS HELP :((
will mark brianlist if its the correct answer ty
Answer: D
Step-by-step explanation: The student made a mistake in step 2, because angle O and P do not add up to 90, as supplementary angles add up to 180.
A jewelry maker will use 24 jade beads and 30 teak beads to make necklaces. each necklace will have the same number of necklaces she can make? how many beads of each type are on each necklace?
The number of beads of each type that are on each necklace will be 6 beads.
How to illustrate the information?It should be noted that the jewelry maker will use 24 jade beads and 30 teak beads to make necklaces. each necklace will have the same number of necklaces she can make.
Therefore, it van be seen that the highest common factor between 24 and 30 is 6.
Therefore, the number of beads of each type that are on each necklace will be 6 beads.
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