Based on the information, it is expected Fareed can be assigned to live on any of the floors.
What condition limits Fareed's assignment?The only condition that limits the floor Fareed can be assigned to is that he cannot be immediately below Damaris. This means that as long as Damaris is not immediately above him, he can be assigned to all floors. Here are two possible arrangements:
Eugenio (5th floor)DamarisCindyFareedGuzal (1st floor)Guzal (5th floor)EugenioDamarisCindyFareed (1st floor)Learn more about arragements in: https://brainly.com/question/27909921
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laura spends 4 hours reading a book that is 76 pages long. what is the average number of pages she read per hour?
The average number of pages she reads per hour is 19 pages per hour
How to determine the average number of pages she read per hour?The given parameters are:
Number of pages = 76 pages
Number of hours = 4 hours
The average number of pages she reads per hour is calculated using the following formula
Average = Number of pages/Number of hours
Substitute the known values in the above equation
Average = 76 pages/4 hours
Evaluate the quotient
Average = 19 pages per hours
Hence, the average number of pages she reads per hour is 19 pages per hours
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Alice placed $1,900 in a savings account which earns 2.2% interest, compounded every year. How much will she have in the account after 5 years.
She will have $2118 in her account after five years
How to determine the amount in five years?The given parameters about the compound interest are
Principal Amount, P = $1,900
Interest Rate, R = 2.2%
Time, t = 5
Compound interests are different from simple interest, and they are calculated using the following compound interest formula
CI = P(1 + R)^t - P
To calculate the amount, we have:
A = P + CI
So, the equation becomes
A = P + P(1 + R)^t - P
Evaluate the like terms
A = P(1 + R)^t
Substitute the known values in the above equation
A = 1900 * (1 + 2.2%)^5
Express 2.2% as decimal
A = 1900 * (1 + 0.022)^5
Evaluate the sum
A = 1900 * (1.022)^5
Evaluate the exponent
A = 1900 * 1.11495
Evaluate the product
A = 2118
Hence, she will have $2118 in her account after five years
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Rearrange the equation (x-1)(x-1)(x-1)=y to solve for x express x in terms of y
Answer:
[tex]x=1+\sqrt[n]{y}[/tex]
Step-by-step explanation:
Since: [tex](x-1)*(x-1)*(x-1)=y[/tex]
that would imply: [tex](x-1)=\sqrt[3]{y}[/tex]
This is a bit more clear, if you write the equation as:
[tex](x-1)^3=y[/tex]
and then take the cube root of both sides
[tex]\sqrt[3]{(x-1)^3}=\sqrt[3]{y}[/tex]
Which simplifies to
[tex]x-1=\sqrt[3]{y}[/tex]
Now add 1 to both sides, and you get the equation:
[tex]x=1+\sqrt[n]{y}[/tex]
three times the difference between t and y"
Answer: 3(t-y)
Step-by-step explanation:
The term difference refers to subtraction, so that means t-y in parenthesis since you would have to solve that first.
Then after you'd solve that, then you would multiply it by 3
Hope I helped :)
a swimming pool charges £3.60 for entry. you can save 1/3 of entry fee with a membership card. on his first visit, ken spends £5 on a membership card plus the reduced entry fee. how many times does ken visit before he gets back his £5
Answer:
5
Step-by-step explanation:
You save ⅓ of entry fee, so you save 1.20 and you pay 2.40. We only really care about the 1.20 reduction. 5 / 1.2 = 4.16 so he must go 5 times to get the 5 back
i need help quick, everything is in the image
Answer:
x = 3
Step-by-step explanation:
see image. Instead of distributive property, let's multiply by 2 to get rid of the fraction and also the parenthesis on the left. See image.
Then subtract 5 and finally, divide by 3 to solve. See image.
During a drought, the water level in a reservoir dropped 3 in. each week for 5 straight weeks. Express the overall change in water level as a signed number.
Answer:
v = -3w
Step-by-step explanation:
water level/volume = -3 x weeks
v = -3w
Let g be a one-to-one function and suppose f is the inverse function of g
if g(5)=11 and g(3)=5, find f(5)
Answer:
So g(6) comes out to be 2.
Step-by-step explanation:
So f(6)=5 means when f acts on 6, the result is 5....so the inverse would take 5 back to 6...or g(5)=6
So f(2)=6 means that f reassigns 2 to 6....so the inverse would take 6 back to 2....or g(6)=2
hope this helps :)
Answer: 3
Step-by-step explanation:
If f(x) = y, then invf(y) = x
So, f(5) = invg(5) = 3
PLEASE ASAP!! ALSO PLEASE INCLUDE AN EXPLANATION OF HOW YOU GOT THE ANSWER!!! THANK YOU! BTW THERE ARE TWO PICTURES! :)
2/3 is 400% of 1/6
0.2 is 12.5% of 1 3/5
Calculating PercentagesFrom the question, we are to determine what percent of 1/6 is 2/3
Let the value be x
Thus,
We can write that
2/3 is x% of 1/6
This means
2/3 = x/100 × 1/6
Now, solve for x
2/3 = x/100 × 1/6
2/3 = x/600
x = (2×600)/3
x = 400
Hence, 2/3 is 400% of 1/6
We are to determine what percent of 1 3/5 is 0.2
Let the value be y
That is,
0.2 is y% of 1 3/5
This can be written as
0.2 = y% × 1.6
0.2 = y/100 × 1.6
Now, solve for y
0.2 = y/100 × 1.6
0.2 = 1.6y/100
1.6y = 0.2 × 100
1.6y = 20
y = 20/1.6
y = 12.5
Hence, 0.2 is 12.5% of 1 3/5
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Solve the inequality and enter your solution as an inequality comparing the
variable to a number.
x-30 > 30
Answer:
[tex]x > 60[/tex]
Step-by-step explanation:
[tex]x-30 > 30[/tex]
[tex]x > 60[/tex] (add 30 onto both sides of the inequality)
How do you compute this? 4(-2, 3) - 2(6, -7)
Step-by-step explanation:
Factor out two from the expression. The answer should be 2(2*(-2, 3)-(6, -7))
A box contains 5 reams of paper. How could you estimate the thickness of 2 sheets of paper? One ream of paper is 500 sheets.
Please provide deep explanation so i can learn and understand
The estimated thickness of 2 sheets of paper, given the parameters, is 0.0216 cm.
What is the thickness of a sheet of paper?The thickness of a sheet of paper can be measured using a screw gauge or vernier caliper.
If the thickness of a ream of paper, which contains 500 sheets, is given, a sheet will be x/500 thick.
The thickness of 2 sheets of paper will be the thickness of a sheet multiplied by 2.
Data and Calculations:
Number of reams of paper in a box = 5 reams
1 ream = 500 sheets
500 sheets = 5.4 cm thick
The thickness of 2 sheets of paper = 0.0216 cm {5.4cm x 2/500)}
Thus, the estimated thickness of 2 sheets of paper, given the parameters, is 0.0216 cm.
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Question Completion:Assume that one ream of paper is 5.4 cm thick.
3. What is a variable?
numbers that represent letters
a combination of letters and numbers
Oletters that represent numbers
O a operation between different letters
Please i need help for this calculus
Step-by-step explanation:
First thing first, let find the x value of where P and Q both meet y=5, we know that y=5, and y=2x^2+7x-4, so using transitive law,
[tex]5 = 2 {x}^{2} + 7x - 4[/tex]
[tex]2 {x}^{2} + 7x - 9[/tex]
[tex]2 {x}^{2} - 2x + 9x - 9[/tex]
[tex]2x(x - 1) + 9(x - 1)[/tex]
[tex](2x + 9)(x - 1) = 0[/tex]
[tex]x = 1[/tex]
[tex]2x + 9 = 0[/tex]
[tex]x = - \frac{9}{2} [/tex]
Now, to find the gradient of the curve let take the derivative of both sides
[tex]5 = 2 {x}^{2} + 7x - 4[/tex]
[tex]0 = 4x + 7[/tex]
[tex]4x + 7[/tex]
Plug in -9/2, let call that point P
[tex]4( \frac{ - 9}{2} ) + 7 = - 11[/tex]
Plug in 1, let call that point Q
[tex]4(1) + 7 = 11[/tex]
So the gradient of the curve at point P (-9/2,5) is -11
The gradient of the curve at point Q (1,5) is 11.
5 + 4 ⋅ ( 8 − 6 ) ^2
[tex]\boldsymbol{\sf{5+4\cdot(8-6)^{2} \ \ \longmapsto \ \ [Subtract \ 6 \ from \ 8.] }}[/tex]
[tex]\boldsymbol{\sf{5+4\cdot2^{2} }}[/tex]
Calculates 2 to the power of 2 and gets 4.
[tex]\boldsymbol{\sf{5+4\cdot4 \ \ \longmapsto \ \ [Multiply] }}[/tex]
[tex]\boldsymbol{\sf{5+16 \ \ \longmapsto \ \ [Add]}}[/tex]
[tex]\blue{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ 21}}}}[/tex]
Answer:
5+16x
Step-by-step explanation:
5+4x(8−6)
2
Subtract 6 from 8 to get 2.
5+4x×2
2
Calculate 2 to the power of 2 and get 4.
5+4x×4
Multiply 4 and 4 to get 16.
5+16x
please I need help in these exercises and I tried to solve them but I can't, crown to the best answer <'3
(a) The result of the long division is a - b + c.
(b) The result of the long division is 3 · m² + 2 · m + 1 + (12 · m³ - 16 · m + 6 · m²) / (m⁴ - 3 · m² + 4).
How to find an algebraic expression by long division
Long division is an algebraic procedure with which we can find the result of a division of two polynomials. Now we proceed to present the entire procedure explained:
(a) a² - b² + 2 · b · c - c² divided by a + b - c.
1) Multiply a + b - c by a and subtract it from a² - b² + 2 · b · c - c²: Result: a / Remainder: - b² - a · b + 2 · b · c + a · c - c²
2) Multiply a + b - c by - b and subtract it from the result of 1): Result: a - b / Remainder: b · c + a · c - c²
3) Multiply a + b - c by c and subtract it from the result of 2): Result: a - b + c / Remainder: 0
The result of the long division is a - b + c.
(b) 3 · m⁷ - 11 · m⁵ + m⁴ + 18 · m³ - 8 · m + 3 · m² + 4 divided by m⁴ - 3 · m² + 4.
1) Multiply m⁴ - 3 · m² + 4 by 3 · m³ and subtract it from 3 · m⁷ - 11 · m⁵ + m⁴ + 18 · m³ - 8 · m + 3 · m² + 4: Result: 3 · m³ / Remainder: 2 · m⁵ + m⁴ + 6 · m³ - 8 · m + 3 · m² + 4.
2) Multiply m⁴ - 3 · m² + 4 by 2 · m and subtract it from the result of 1): Result: 3 · m³ + 2 · m / Remainder: m⁴ + 12 · m³ - 16 · m + 3 · m² + 4.
3) Multiply m⁴ - 3 · m² + 4 by 2 · m and subtract it from the result of 2): Result: 3 · m² + 2 · m + 1 / Remainder: 12 · m³ - 16 · m + 6 · m².
The result of the long division is 3 · m² + 2 · m + 1 + (12 · m³ - 16 · m + 6 · m²) / (m⁴ - 3 · m² + 4).
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HELP NEED ANSWERS QIUCKLY! WILL GIVE BRAINLEST!
1. What is the difference between arithmetic and geometric?
2. Which formulas are used for each? Explain ratio and difference.
3. Given 4, 8, 16, 32 identify the next term and if its a ratio or difference
4. Explain the steps in using the sigma notation.
Answer:
Arithmetic => each new term differs from the previous term by a fixed amount
an = a1 + d (n − 1)
Geometric => each element after the first is obtained by multiplying the previous number by a constant factor
an = a1 (r)^(n − 1)
4,8,16,32 the difference is not fixed so it is a geometric so it is ratio
the ratio is 2 and n is 5 so 4*(2)^4 =4*16=64
To generate the terms of a series given in sigma notation, replace the index of summation with consecutive integers from the first value to the last value of the index.
if you also want the sum of them
arithmetic -> (n/2)(a1+an)
geometric -> (a1*(1-r^n))/(1-r) or
when the sequence is infinite you can use a1/(1-r)
Step-by-step explanation:
Arithmetic => 1,3,5,7,9,11,13,15....
Geometric => 1,2,4,8,16,32,64....
A television is identified by the diagonal measurement of the screen. A television has a length of 57-inches and a height of 33 inches. What is the length of the diagonal of the television screen?
Answer: 65.86 inches
Step-by-step explanation:
Length of the hypotenuse (length of diagonal) : a^2 + b^2 = c^2
The length (a)= 57
The height (b) =33
57^2= 3,249
33^3= 1,089
3,249 + 1,089 = c^2
4,338 = c^2
We next square root both sides to find c by itself (length of the diagonal)
[tex]\sqrt{4,338} = c[/tex]
c= 65.8634952...
You can then round to however many decimals are required.
To the hundreds place: 65.86 inches
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each given function with the description of its graph.
y-intercept at (0, 2)
graph initially decreases slowly and then decreases rapidly
y-intercept at (0, 1)
graph initially decreases rapidly and then decreases slowly
y-intercept at (0, 1)
graph initially increases rapidly and then increases slowly
y-intercept at (0, 2)
graph initially decreases rapidly and then decreases slowly
y-intercept at (0, 1)
graph initially increases slowly and then increases rapidly
Y =
(4)*
y = 3²
y = 2(1) ²
The statements that applies are;
y-intercept at (0, 2), graph initially decreases rapidly and then decreases slowly.y-intercept at (0, 1), graph initially increases slowly and then increases rapidlyy-intercept at (0, 1) - graph initially decreases rapidly and then decreases slowly.What is the function about?The property of power function is known to be peculiar to the field of math. A power function is known to be one that is made up of a variable base that tends to be raised to a fixed power.
Note that the function is one that is made up of a constant base that is often raised to a variable power.
Following the property of power function, we can be able to obtain the information above.
Therefore, The statements that applies are;
y-intercept at (0, 2), graph initially decreases rapidly and then decreases slowly.y-intercept at (0, 1), graph initially increases slowly and then increases rapidlyy-intercept at (0, 1) - graph initially decreases rapidly and then decreases slowly.Learn more about function from
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A baker has 4 3/4 pounds of cookie dough. He uses 1/16 pound of dough for each cookie. How many cookies can he make? Simplify the answer.
This shows that 76 cookies will be made with the total pounds of cookies
Ratio and proportionFractions are written as a ratio of two integers. Given the following parameters
Total pounds of cookies made = 4 3/4 pounds
Total pounds of cookies made = 19/4 pounds
If he uses 1/16 pound of dough for each cookie, the total amount of cookies made is given;
Number of cookies = 19/4 ÷ 1/16
Number of cookies = 19/4 * 16/1
Number of cookies = 19 * 4
Number of cookies = 76
This shows that 76 cookies will be made with the total pounds of cookies
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Glynn's car has a 18 gallon gas tank. He travels 450 miles. What is the least miles per gallon this trip? Write and solve an inequality to answer the question.
The least miles per gallon this trip is 25 miles per gallon
How to determine the least miles per gallon?The given parameters are:
Distance = 450 miles
Tank size = 18 gallons
The least miles per gallon this trip is calculated as:
Miles per gallon = Distance/Tank size
This gives
Miles per gallon = 450/18
Evaluate the quotient
Miles per gallon =25
Represent as an inequality
x >= 25
Hence, the least miles per gallon this trip is 25 miles per gallon
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If the measure of WZX is 262 what is the measure of XWY?
Answer:
49°
Step-by-step explanation:
The circumference of a circle measures 360 degrees, so arc XW is 98°.
So, angle XWY is 49°.
How many pairs of parallel faces does this shape have?
Answer: one
Step-by-step explanation:
parallel faces are the ones that are opposite to each other.
Answer:
one
Step-by-step explanation:
there is only one pair of parallel faces.
Please help 50 points
Answer:
m∠RQS = 109°
Step-by-step explanation:
Angles on a straight line sum to 180°.
Therefore:
⇒ m∠RQS + m∠SQT = 180°
⇒ (15x + 4) + (10x + 1) = 180
⇒ 15x + 4 + 10x + 1 = 180
⇒ 15x + 10x + 4 + 1 = 180
⇒ 25x + 5 = 180
⇒ 25x + 5 - 5 = 180 - 5
⇒ 25x = 175
⇒ 25x ÷ 25 = 175 ÷ 25
⇒ x = 7
Now that we have found the value of x, substitute this into the expression for m∠RQS:
⇒ m∠RQS = 15(7) + 4
= 105 + 4
= 109°
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Find the cube root of 1+¡^5
QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
a. Central angle: Angle BAC
b. Major arc: Arc BEC
c. Minor arc: Arc BC
d. m(BEC) = 260°
e. m(BC) = 100°
What is a Major Arc?A major arc can be defined as an arc that has a measure that is greater than a semicircle (half a circle) or greater than 180 degrees.
What is a Minor Arc?A minor arc can be defined as an arc that has a measure that is less than a semicircle (half a circle) or less than 180 degrees.
What is a Central Angle?An angle whose vertex is at the center of a circle and has two radii of as its sides is called a central angle of a circle.
a. Central angle in the image given is: Angle BAC
b. Major arc of the circle is: Arc BEC
c. Arc BC is a minor arc.
d. m(BEC) = 360 - 100 [based on the central angle theorem]
m(BEC) = 260°
e. angle BAC = 100°
m(BC) = angle BAC [based on the central angle theorem]
m(BC) = 100°
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A survey was conducted among the students at Elmwood High School. What are the individuals in this study?
the types of sports
the music groups
the clubs
the students
Based on the information provided, the individuals in this study are: D. the students.
What is a study?A study can be defined as a strategic process or technique through which a scientist (researcher) observes and measures the effect of a risk factors, diagnostic test, or treatments on a particular population of interest.
What is a variable?In Mathematics, a variable can be defined as the measurable conditions, events, characteristics, individuals, or behaviors that a scientist (researcher) can control or observe when performing a study.
Based on the information provided, the individuals in this study are the students and these include the following subclasses:
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The students are the individuals in this study and is therefore denoted as option D.
What is a Sample?This refers to a group of people which are chosen or taken from a large population for measurement or surveys.
In this scenario, the study was conducted in a school with different types of students according to their grades such as freshman, sophomore etc. This therefore makes the individuals in the study to be students and is the most appropriate choice.
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Time to use my tools
96 100 132
6 ... 4 ....6
5....7......3
21...32...?
1)32
2)20
3)25
4)30
find the missing one
Answer:
the correct answer is 25
Solve for y. Simplify your answer as much as possible. 9/12=y/8
Answer:
6
Step-by-step explanation:
Solve for y:
[tex]y/8=9/12[/tex]
Multiply both sides by 8:
[tex]y=72/12[/tex]
Solve fraction
[tex]y=6[/tex]
the sum of three consecutive integers is 78. what are the three Integers
Answer:
25, 26, and 27 are the three consecutive integers.
Step-by-step explanation:
Let the numbers be represented as x, x + 1 and x + 2.
We can write the equation:
[tex]x+(x+1)+ (x+2)=78[/tex]
Opening the brackets and simplifying:
[tex]x+x+1+x+2=78[/tex]
[tex]3x+3=78[/tex]
Subtract 3 from both sides.
[tex]3x=75[/tex]
Divide both sides by 3.
[tex]x=25[/tex]
Since the three consecutive integers are x, x + 1 and x + 2, replace x with 25.
∴ 25, 26 and 27 are the three consecutive integers.
Answer:
25 , 26 and 27
Step-by-step explanation: