Answer:
Diverges
Step-by-step explanation:
3/(4ⁿ) = 3 (¼)ⁿ is a geometric series with r = ¼, which converges.
7/n is a harmonic series, which diverges.
The sum of a convergent series and a divergent series is divergent.
Find the domain of the inverse function w-1 (x) . Express your answer as in inequality
Answer:
ANSWER
Step-by-step explanation:
Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.
If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).
For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.
Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.
6. Use the following matrices to answer the questions. (2 points each)
5 -8
2 -6
-8
-2 3
A
외
B =
[4
18] c- [5 5] -
C=
9 1
03
9
1
a. Is the operation E + C possible? Circle YES or NO
If yes, state the dimensions of the answer:
b. Is the operation B + C possible? Circle YES or NO
If yes, state the dimensions of the answer:
c. Is the operation E. D possible? Circle YES or NO
If yes, state the dimensions of the answer:
d. Is the operation D E possible? Circle YES or NO
If yes, state the dimensions of the answer:
e. Is the operation A D possible? Circle YES or NO
If yes, state the dimensions of the answer:
1
-1 10
E
11
7 -1 0
Answer:
its a such a hard questions i think you should ask to you're teacher ?
Is the square root of 85 a rational number
hi! Can someone please help me out? Thank you so much :) I’ll give brainly. Question is in image
Answer:
d) 189.3 in²
Step-by-step explanation:
Area of rectangle is,
→ w × l
→ 10 × 15
→ 150 in²
Area of semi circle is,
→ (1/2)πr²
→ (1/2) × 3.14 × (5)²
→ 1.57 × 25
→ 39.3 in²
Now the total area will be,
→ 150 + 39
→ 189.3 in²
Thus, total area is 189.3 in².
Consider the figure below were line PQ is parallel to line RS
Part A: Solve for a and justify your answer
Part B: Determine m<ABQ
Part C: Determine m<BCR
Plzzz HELP
Answer:
Step-by-step explanation:
A) Find the figure attached. According to the figure, since line PQ is parallel to line RS, then <CBQ = <DCS (corresponding angle)
Also <BCS + <DCS = 180° (sum of angles on a straight line)
Given
<BCS = (5a+14)° and <DCS = <CBQ =(2a-9)°
Substituting this values into the formula to calculate the value of a;
(5a+14)°+(2a-9)° = 180°
5a+2a+14-9 = 180
7a+5 = 180
7a = 180-5
7a = 175
a = 175/7
a = 25°
Hence the value of a is 25°
B) From the diagram <ABQ = <BCS = 5a+14 (corresponding angle)
Substitute a = 25 into the expression
<ABQ = 5(25)+14
<ABQ = 125+14
<ABQ = 139°
C) To get <BCR, we will use the formula;
<BCR + <BCS = 180
Given <ABQ = <BCS = 139°
<BCR = 180 - <BCS
<BCR = 180 - 139
<BCR = 41°
Answer:
Part A: 25
Part B: 139
Part C: 41
Step-by-step explanation:
5a+14+2a-9
a=25
5(25)+14
=139
2(25)-9
=41
Determine whether the following events are mutually exclusive. Explain your reasoning. Event A: Randomly select a major. Event B: Randomly select a major who is years old. These events ▼ are are not mutually exclusive, since ▼ every male biology major is 20 years old. it is not possible to select a male biology major who is 20 years old. all biology majors are male. it is possible to select a male biology major who is 20 years old. no biology majors are male. not every male biology major is 20 years old. not all biology majors are male.
Answer:
Event B is mutually exclusive
Step-by-step explanation:
The mutually exclusive events are one which cannot happen together. The observation is made regarding male biology age. It is not possible that all male biology are 20 years old. There can male biology who are less than or greater than 20 years of age. The can not be all together 20 years old. The event is then considered as mutually exclusive.
What value of x makes the equation 5(x - 3) + 2x = 41 TRUE?
Answer: x = 8
Step-by-step explanation: PLEASE GIVEBRAINLIEST IT HELPS ALOT
Answer:
x=8
Step-by-step explanation:
Follow the order of operations to simplify the equation:
5(x-3) +2x=41
Start by multiplying into the parenthesis: 5x-15+2x=41
Combine like terms: 5x+2x-15=41 then simplify: 7x-15=41
Add 15 to both sides: 7x=56
Divide both sides by 7 to get x by itself: x=8
Hope this helps! (^-^)
What are 2 Equivalent ratios for 3 and 8
Answer:
3 to 8 = 6 to 16 = 30 to 80
Step-by-step explanation:
Each time you multiply both numbers of a ratio by the same number, you get an equivalent ratio.
3 to 8
Multiply both 3 and 8 by 2:
6 to 16
Multiply both 3 and 8 by 10:
30 to 80
3 to 8 = 6 to 16 = 30 to 80
Find ONLY the measure of angle B
Answer:
Need points srry <3
Step-by-step explanation:
Btw too many tabs are open maybe close them to helo your frame rate ;D
vitamin c is 3/4 cup of orange juice
Answer:
Step-by-step explanation:
Vitamin c=3/4×cup of orange juice
What is the slope of the line that passes through the points (8, -6) and (5, -1)
Answer:
-5/3
Step-by-step explanation:
trust me bro
Answer:
Use desmos
Step-by-step explanation:
Basically it is a graphing calculator put your points
The base of a 14 foot ladder is 6 feet from a building if the ladder reaches the flat roof how tall is the building? The height of the building is_ ftThe height of the building is approximately_ft
Step 1. Gather the information that we have and make a diagram.
The length of the ladder is 14 ft, the distance from the base of the ladder to the building is 6 ft and the height of the building is unknown.
We will call this unknown height ''a''.
The following diagram represents the situation:
Step 2. The triangle formed between the floor, the building, and the ladder is a right triangle (it has a 90° angle), this means that we can use the Pythagorean theorem to solve this and find ''a''.
The Pythagorean theorem is represented by the equation:
\(a^2+b^2=c^2\)where a and b are the legs of the triangle, and c is the hypotenuse of the triangle (the side opposite to the 90° angle)
In our case,
\(\begin{gathered} c=14ft \\ b=6ft \end{gathered}\)And we need to find a.
Step 3. Substituting the known values into the Pythagorean theorem:
\(\begin{gathered} a^2+b^2=c^2 \\ a^2+(6ft)^2=(14ft)^2 \end{gathered}\)Solving the exponential terms:
\(a^2+36ft^2=196ft^2\)And solving for a^2 by subtracting 36ft^2 to both sides of the equation:
\(\begin{gathered} a^2=196ft^2-36ft^2 \\ a^2=160ft^2 \end{gathered}\)Taking the square root of both sides and simplifying:
\(\begin{gathered} \sqrt[]{a^2}=\sqrt[]{160ft^2} \\ \\ a=\sqrt[]{16\cdot10}ft \\ \\ a=4\sqrt[]{10}ft \end{gathered}\)This result can also be represented as a decimal number:
\(a=4\sqrt[]{10}ft\approx12.65ft\)Answer:
The height of the building is
\(4\sqrt[]{10}ft\)The height of the building is approximately
\(12.65ft\)
what is 3/4 plus 3/5 in a mixed number
Answer:
1 7/20
Step-by-step explanation:
3/4 + 3/5 =
27/20 = 1 7/20
Answer:
Ok so write them down and MAKE SURE THE DENOMINATOR is the same and whatever to do to the bottom you must do to the top
Step-by-step explanation:
3/4+3/5 so then the LCM of both the numbers is 20 so it's 15/20+15/20=30/20 but then how many times does 30 got into 20 that's one how many is left 10 so the awnser is 1 10/20
Which of these contexts describes a situation that is impossible?
Rolling a number less than 1 on a standard six-sided die, numbered
from 1 to 6,
Spinning a spinner divided into four equal-sized sections colored
red/green/yellow/blue and landing on some color,
Winning a raffle that sold a total of 100 tickets if you bought 50 tickets,
Reaching into a bag full of 15 strawberry chews and 5 cherry chews
without looking and pulling out a strawberry or a cherry chew.
Rolling a number less than 1 on a standard six-sided die, numbered
from 1 to 6 is an impossible situation.
What is a sure event?Suppose we have a coin with sides heads and tails then the occurrence of a head or a tail is a sure event.
If we observe the given options we can conclude that Rolling a number less than 1 on a standard six-sided die, numbered from 1 to 6 is an impossible situation as we couldn't get a number less than 1 on the die not possible right?
All the other options seem possible in some different ways but the first option is an impossible situation.
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Find f. f ″(x) = x^−2, x > 0, f(1) = 0, f(6) = 0
If you do in fact mean \(f(1)=f(6)=0\) (as opposed to one of these being the derivative of \(f\) at some point), then integrating twice gives
\(f''(x) = -\dfrac1{x^2}\)
\(f'(x) = \displaystyle -\int \frac{dx}{x^2} = \frac1x + C_1\)
\(f(x) = \displaystyle \int \left(\frac1x + C_1\right) \, dx = \ln|x| + C_1x + C_2\)
From the initial conditions, we find
\(f(1) = \ln|1| + C_1 + C_2 = 0 \implies C_1 + C_2 = 0\)
\(f(6) = \ln|6| + 6C_1 + C_2 = 0 \implies 6C_1 + C_2 = -\ln(6)\)
Eliminating \(C_2\), we get
\((C_1 + C_2) - (6C_1 + C_2) = 0 - (-\ln(6))\)
\(-5C_1 = \ln(6)\)
\(C_1 = -\dfrac{\ln(6)}5 = -\ln\left(\sqrt[5]{6}\right) \implies C_2 = \ln\left(\sqrt[5]{6}\right)\)
Then
\(\boxed{f(x) = \ln|x| - \ln\left(\sqrt[5]{6}\right)\,x + \ln\left(\sqrt[5]{6}\right)}\)
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundred. radius is 5 height is 5
Suppose Lisa places $6000 in an account that pays 18% interest compounded each year. Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year.
(b) Find the amount in the account at the end of 2 years.
Step-by-step explanation:
The formula for compounded interest is given by
\(A = P\left(1 + \dfrac{r}{n}\right)^{nt}\)
where
A = amount of money after a time t
P = principal or initial amount of money
r = interest rate in decimal form
n = number of times money bnb is compounded per unit time
t = unit time
a) For this problem, P = $6000, n = 1 since the money is compounded once a year, t = 1 year and r = 0.18 so after one year, Lisa's money amounts to
\(A = (\$6000)\left(1 + \dfrac{0.18}{1}\right)= \$7,080\)
b) After two years, the money is still compounded yearly so n = 1 but t = 2 years so Lisa's money amounts to
\(A = (\$6000)\left(1 + \dfrac{0.18}{1}\right)^{2} = \$8354.40\)
Step-by-step explanation:
a)
Principal = $6000
Rate = 18%
Time = 1 year
A = P(1 + r/100)¹
A = 6000(1 + 18/100)
A = 6000(100 + 18/100)
A = 6000 × 118/100
A = 60 × 118
A = 7080
b)
Principal = $6000
Rate = 18%
Time = 2 years
A = P(1 + r/100)²
A = 6000(1 + 18/100)²
A = 6000(100 + 18/100)²
A = 6000(118/100)²
A = 6000 × 118/100 × 118/100
A = 6 × 118 × 118/10
A = 8354.4
HELP ASAP!!!
ITS DUE IN A FEW MINUTES!!!
Answer:
A
Step-by-step explanation:
it is A because the graph move from a negative axis and move to positive axis at the top
need help answering this
Answer:
what ur yourgrade?
Step-by-step explanation:
Answer:
5) x=19 ft.
6) x=3 cm.
7) x=50 ft.
8) 56 mm.
Explanation:
All of these problems require proportions. For example, in #5, the smaller rectangle has a width of 8 ft. and a length of 24 in. and the larger rectangle has a length of 57 in. but the width is not given. Now, we know that \(\frac{8}{24}\)\(=\frac{x}{57}\). Cross-multiply to get 456=24x. Divide 24 on both sides to get x=19 ft.
Given the following, determine the set (B n C)'.
U= {x|x EN and x < 10}
B = {x|x EN and x is even and x< 10}
C = {x|x E N and x < 10}
Answer:
Step-by-step explanation:
U={x|x∈N and x<10}
or U={1,2,3,4,5,6,7,8,9}
B={x|x∈N and x is even and x<10}
or
B={2,4,6,8}
C={x|x∈N and x<10}
or
C={1,2,3,4,5,6,7,8,9}
(B∩C)={2,4,6,8}
(B∩C)'={1,3,5,7,9}
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Tim is taking the path shown to bike to Greg's house. Tim travels an average speed of 15 mi/hr.
Determine how much time it will take Tim to get to Greg's house. (You may use decimals here)
Answer:
Road:
Distance to Greg's house = 3.2 + 1.7 =
4.9 miles
Time to get to Greg's house =
(4.9 mi)/(15 mi/hr) = about .327 hours = about 19.6 minutes (19 minutes, 36 seconds)
Shortcut:
Distance to Greg's house:
\( \sqrt{ {3.2}^{2} + {1.7}^{2} } = 3.6235 \)
Time to get to Greg's house:
(3.6235 mi)/(15 mi/hr) = about .242 hours = about 14.49 minutes (14 minutes, 30 seconds)
The shortcut is about 4.9 - 3.6235 = 1.28 miles faster (about 5.11 minutes, or 5 minutes, 6 seconds faster)
A recipe book shows measurement conversions for cups to pints. It shows that 3 cups converts to 1.5 pints and 5 cups converts to 2.5 pints. Write an equation that shows the proportional relationship between pints and cups where p represents pints and n represents cups. p equals 3 over 1.5 times n n equals 1.5 over 3 times p p = 0.5n n = 0.5p
Answer:
0.5n
Step-by-step explanation:
1.5 = 3k
where k = constant of proportionality
Divide
k = 1.5/3
k = 0.5
Therefore, the equation is p = 0.5n
There are 120 students in Year 11 at a school.
Each student studies one language, either French, Spanish, German or Welsh.
21 of the 40 students studying Welsh are male.
18 males and 9 females study French.
12 of the 17 students studying Spanish are female.
Twice as many females study German than males.
How many students in Year 11 are female?
Answer:
80 students are female
Step-by-step explanation:
21 are male meaning 19 are female
9 are female in French
12 are female in Spanish
total = 40
2x + 40 = 120
2x = 80
x = 40
females' = 80
total = 80
Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two
other equivalent forms. Explain how each form was created. (10 points)
Polynomial: 6x^3 + 12x^2 - 18x
Form 1: 6(x^3 + 2x^2 - 3x)
Explanation: This form was created by factoring out the GCF of 6 from each term in the polynomial.
Form 2: 6x(x^2 + 2x - 3)
Explanation: This form was created by factoring out the GCF of 6x from each term in the polynomial.
In both forms, the GCF of 6 allows us to factor out common factors and simplify the polynomial expression while preserving its original meaning.
To create a factorable polynomial with a greatest common factor (GCF) of 6, we can start by considering the common factors of the terms. Let's construct a polynomial:
Polynomial: 6x^3 + 12x^2 - 18x
To rewrite this polynomial in two other equivalent forms, we can factor out the GCF from each term and simplify.
Form 1: 6(x^3 + 2x^2 - 3x)
In this form, we factored out the GCF of 6 from each term: 6x^3/6 = x^3, 12x^2/6 = 2x^2, and -18x/6 = -3x.
Form 2: 6x(x^2 + 2x - 3)
In this form, we factored out the GCF of 6x from each term: 6x^3/6x = x^2, 12x^2/6x = 2x, and -18x/6x = -3.
We created each form by identifying the common factors in the polynomial and factoring them out. This process allows us to rewrite the polynomial in equivalent forms that emphasize different aspects.
In Form 1, we factored out the GCF of 6, leaving the remaining polynomial inside the parentheses. This form highlights the fact that the polynomial can be written as the product of the GCF and the remaining terms.
In Form 2, we factored out the GCF of 6x, again leaving the remaining polynomial inside the parentheses. This form emphasizes the fact that the polynomial can be written as the product of the GCF and another factor, in this case, x.
By rewriting the polynomial in these two forms, we have created equivalent expressions that emphasize the presence of the GCF and demonstrate the polynomial's factorability.
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Multiply.
(2x+6)²
NEED ANSWER ASAPP
Answer:
4x² + 24x + 36
Step-by-step explanation:
(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36
What is the equation of a line that is parallel to the line y = 5x – 1 and passes
through the point (4, -3)?
A. y = 5x + 19
B. y = -5x + 17
C. y = 5x – 23
D.y= -1/5x - 11/5
Answer:
Stey−intercept=− 1 /1 =−1.00000
Which of the following pairs are corresponding angles?
O
6 and 8
2 and 7
5 and 4
5 and 2
Answer:
Hey! your answer should be A. 6 and 8
Step-by-step explanation:
I've attatched an image of what corresponding angles look like. Your best choice would be A
Ninety-nine is what percent of 150?
Answer:
66
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
Does anyone know this answer??
Answer:
96.25%
Step-by-step explanation:
The empirical rule regarding mean and standard deviation is that
Around 68% of scores are between 40 and 60.Around 95% of scores are between 30 and 70.Around 99.7% of scores are between 20 and 80.Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find approximately 95/2 = 47.5% of the values
Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values
Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values
The moon is in an orbit around the earth, and the length of this
orbit is 3.844 × 100,000 kilometers.
1. What is the shortcut for multiplying 3.844 by 100,000?
The product of given numbers is 384400.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Given that, the moon is in an orbit around the earth, and the length of this
orbit is 3.844×100,000 kilometers.
Here, 3.844 multiplied by 1 we get 3.844
When multiplying decimals by 100000, the digits shift five places to the left.
That is, 384400.0
Therefore, the product of given numbers is 384400.
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