Earl works a total of 3 days in a week. From Monday through Friday, he works in the bookstore on 1 day and in the athletic center on 2 days. On Saturday and Sunday, he cooks food on 50% of the days, which would be a total of 1 day. Therefore, he works a total of 3 days in a week.
To calculate the percentage of Monday through Friday that Earl works, we need to first calculate the total number of days in a week, which is 7. Then, we need to subtract the weekend days, which are Saturday and Sunday, leaving us with 5 days.
Finally, we can calculate the percentage by dividing the number of days Earl works from Monday through Friday (which is 1) by the total number of weekdays (which is 5), and multiplying by 100. So, Earl works 20% of Monday through Friday.
In summary, Earl works 3 days in a week, 1 day in the bookstore and 2 days in the athletic center. He also cooks food on 1 day during the weekend. Earl works 20% of Monday through Friday.
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ABCF AND EFGH ARE CONGRUENT PARALLELGRAMS. AD = 10cm, MC = 8cm, and the area of ABCD is 112cm^2. What is the number of centimeters in EN? Express your answer as a decimal to the nearest tenth
The image to the question is attached below.
Answer: The value of EN is 11.2 cm
Step-by-step explanation:
We are given:
The parallelograms ABCD and EFGH are congruent, which simply means
AB = EF
BC = FG
CD = GH and
AD = EH
Area of ABCD = area of EFGH
Also, opposite sides of a parallelogram are equal. Thus,
AB = EF = CD = GH
BC = FG = AD = EH
It is given:
\(AD=10cm=FG\\\\\text{Area of ABCD}=112cm^2=\text{Area of EFGH}\)
To calculate the area of a parallelogram, we use the equation:
\(Area=b\times h\)
where, for parallelogram EFGH
b = base = FG = 10 cm
h = height = EN = ?
Area = \(112cm^2\)
Plugging values in above equation, we get:
\(112cm^2=10cm\times EN\\\\EN=\frac{112cm^2}{10cm}=11.2cm\)
Hence, the value of EN is 11.2 cm
send help pleaseeeeeeeeeeeeee
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: Factorize: 4x4 + y4
Answer:
4 ( x ) + ( y )
Step-by-step explanation:
.........
hmm yeah
Answer:
4*(4 + y)
Step-by-step explanation:
4*4 + 4y
16 + 4y
highest common factor is 4
4*(4+y)
The box and whisker plots represent the number of minutes spent by users on two different social media groups. Which THREE statements are correct when comparing the plots?
A) The median time for users of Group B is 40 minutes.
B) Group B has greater median value than Group A.
C) The data for Group B varies slightly more than Group A.
D) The spread of the data for Group A is 25 minutes.
E) The spread of the data for Group A is 40 minutes.
Answer: I feel the answer is C
Step-by-step explanation:
The three statements that are correct when comparing the box and whisker plots for the two groups are: A, C, and D.
What is a box and Whisker plot?A box and whisker plot displays the minimum value, lower quartile (Q1), median, upper quartile (Q3), and maximum values of a data set.
Let's analyze each of the given statements given the box and whisker plots for both groups:
Statement A is TRUE:
Median time for Group B = 40.
Statement B is FALSE:
Median value for Group A is between 45 and 50
Median value for Group A is 40.
Therefore, Group B does NOT have median value greater than Group A.
Statement C is TRUE:
The interquartile range (IQR) for Group A and Group are similar, therefore, data for Group B varies slightly more than Group A.
Statement D is TRUE while E is FALSE:
Spread for Group A (IQR) = 55 - 30 = 25 minutes
Therefore, the three statements that are correct when comparing the box and whisker plots for the two groups are: A, C, and D.
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The equation -16t^(2)+144i gives the height, in feet, of a toy rocket t seconds after it was launched up into the air. How long will it take for the rocket to -16t^(2)+144i=0 by factoring to solve the problem. 9 seconds 11.5 seconds
The rocket will take 9 seconds to reach a height given by the equation -16t^(2)+144.
Given that:
The equation is -16t² + 144t.
Time taken by the rocket after it was launched into the air is t seconds.
To solve this equation, we need to factorize the equation and then apply the zero product rule.
Zero product rule: If the product of two factors is zero, then at least one of the factors must be zero.
-16t² + 144t = 0-16t(t - 9) = 0
Here, the product of -16t and (t - 9) gives the equation 0. Then we can say that one of the factors -16t = 0 or (t - 9) = 0 should be equal to 0.
Solving for t,
-16t = 0 or (t - 9) = 0t = 0 or t = 9 seconds
Therefore, the rocket will take 9 seconds to reach a height of 144 feet. Hence the correct option is 9 seconds.
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What is an interval of increase ?
2) Consider the following system of three equations:
(I added an image)
===============================================
Explanation:
Subtract the second equation from the first one
\(\ \ \ \ 3x+3y-5z = 4 \ \ ... \text{ eq 1}\\-(4x-4y+z = -1) \ \ ... \text{ eq 2}\\---------\\\ \ -x+7y-6z = 5\)
Let's call that result equation 4.
Now focus on equation 3 and equation 4
equation 3 is -x+7y-6z = 2
equation 4 is -x+7y-6z = 5
Note how the left hand sides are identical, but the right hand sides are different. This means that we have an inconsistent system with no solutions. No matter what numbers we pick for x,y,z, there is no way to make all three given original equations to be true.
a 400 foot tall monument is located in the distance from a window in a building a perso ndetermines the angle of elevation to the top of the monument is 18 and thed angle of depresison to the bottom of the monument is 3. how far is the person from the monument
The person is approximately 1233.35 feet from the monument
Let's call the distance from the person to the monument "x". We can use basic trigonometry to solve this problem.
From the person's point of view, the monument appears as a right triangle with the monument's height (400 feet) as the opposite side and "x" as the adjacent side. The angle of elevation (from the person to the top of the monument) is 18 degrees, which is the angle opposite the opposite side (the monument's height). So we can use the tangent function to find "x":
tan(18) = opposite / adjacent
tan(18) = 400 / x
x = 400 / tan(18)
x ≈ 1233.35 feet
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what is the electron domain charge cloud geometry of brf5
The electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.
To determine the electron domain charge cloud geometry of \(BrF_5\), we need to examine the number of electron domains around the central atom (Br).
\(BrF_5\) consists of one central bromine atom (Br) surrounded by five fluorine atoms (F). Each bond and lone pair of electrons represents an electron domain.
In \(BrF_5\), there are five bonding pairs (Br-F) and no lone pairs around the central bromine atom. Therefore, the total number of electron domains is five.
Based on this information, the electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.
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Math one question WILL GIVE BRAINLIEST
Answer:
b
Step-by-step explanation:
Dilation reduces or enlarges the size
Translation moves the shape within the quadrant
Rotation about the origin changes the orientation and the location to another quadrant.
6. How many times larger is the first number in the pair than the second? a. 34 is times larger than 3³. times larger than 5². times larger than 78. times larger than 17. times larger than 5*. b. 5³ is_____ c. 710 is d. 176 is e. 5 1⁰ is
3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.
3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3
This means that 3⁴ is 3 times larger than 3³.
5³ is 5 times larger than 5².
5³ / 5² = (5 × 5 × 5) / (5× 5) = 5
7¹⁰ is 49 times larger than 7⁸.
7¹⁰/ 7⁸ = 7² =49
17⁶ is 289 times larger than 17⁴.
17⁶ /17⁴ = 289
Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.
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If Mrs. Bowlin separated the buttons evenly into 8 containers, how
many buttons would be in each container? PLEASE HELP ME
Answer: Look below
Please Set Brainliest if this helps you.
Step-by-step explanation:
From the information you provided, it can get 8,16,24,32,40,48,...
This depends on how much is in each container.
Use the given information to prove the following theorem.
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
We let P be any point on line I, but different from point X.
The two right triangles formed by the perpendicular bisector of the segment \(\overline{YZ}\) are congruent, therefore, \(\overline{YP}\) is congruent to \(\overline{ZP}\) by CPCTC and YP = ZP by definition of congruence.
What are congruent triangles?Congruent triangles are triangles that have the same shape, sizes and interior angles.
The two column table to prove that a point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment can be presented as follows;
Statement \({}\) Reasons
\(\overline{PX}\) is the ⊥ bisector of \(\overline{YZ}\) Given
∠YXP = ∠ZXP = 90° \({}\) Definition of perpendicular bisector
ΔXYP and ΔXZP are right Δs\({}\) Definition
\(\overline{YX}\) ≅ \(\overline{ZX}\) \({}\) \({}\) Definition of bisected segment
\(\overline{XP}\) ≅ \(\overline{XP}\) \({}\) Reflexive property
ΔXYP ≅ ΔXZP \({}\) SAS congruence rule
\(\overline{YP}\) ≅ \(\overline{ZP}\) \({}\) CPCTC
YP = ZP \({}\) Definition of congruence
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consider the function f(x)=2x3 18x2−96x 2with−8≤x≤3 this function has an absolute minimum at the point and an absolute maximum at the point
The absolute minimum of the function over the interval [-8, 3] is -459, which occurs at x = -3, and the absolute maximum is 640, which occurs at x = -8.
How to find the absolute minimum and absolute maximum of the function f(x)?To find the absolute minimum and absolute maximum of the function f(x) = \(2x^3 - 18x^2 - 96x^2\) over the interval [-8, 3], we need to first find the critical points and the endpoints of the interval.
Taking the derivative of the function, we get:
\(f'(x) = 6x^2 - 36x - 192\)
Setting f'(x) = 0 to find the critical points, we get:
\(6x^2 - 36x - 192 = 0\)
Dividing by 6, we get:
\(x^2 - 6x - 32 = 0\)
Solving for x using the quadratic formula, we get:
\(x = (6 \pm \sqrt (6^2 + 4132)) / 2\)
x = (6 ± √100) / 2
x = 2 ± 5
So the critical points are x = -3 and x = 8.
Next, we need to evaluate the function at the endpoints of the interval:
\(f(-8) = 2(-8)^3 - 18(-8)^2 - 96(-8) = 640\)
\(f(3) = 2(3)^3 - 18(3)^2 - 96(3) = -225\)
Finally, we need to evaluate the function at the critical points:
\(f(-3) = 2(-3)^3 - 18(-3)^2 - 96(-3) = -459\)
\(f(8) = 2(8)^3 - 18(8)^2 - 96(8) = 448\)
Therefore, the absolute minimum of the function over the interval [-8, 3] is -459, which occurs at x = -3, and the absolute maximum is 640, which occurs at x = -8.
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Please I need some answers
a is answer please tell brinlest answer
y=3x-2
A)
Is the ordered pair (3, 7) a solution of the equation? (1point)
B) What is the rate of change of the equation? (1 point)
C) What is the y-intercept of the equation? (1 point)
D) Make up a real-world scenario that would go with this equation. (2 points)
Answer:
a) \((x,y) = (3, 7)\) is a solution of the linear equation.
b) The rate of change of the equation is 3.
c) The y-intercept of the equation is -2.
d) Jayne is working in the grocery one day, according to her calculations, renting the lot costs 2 dollars per day and she could earn 3 dollars per hour by selling pastries. How much money does she earn after working 8 hours?
Step-by-step explanation:
a) If \((x,y) = (3, 7)\) is a solution of the linear equation, then \(f(3) = 7\). If \(x = 3\), then the function evaluated at this value is:
\(y = 3\cdot (3) -2\)
\(y = 7\)
Hence, \((x,y) = (3, 7)\) is a solution of the linear equation.
b) The rate of change of the equation is represented by the slope of the function, which is the constant that multiplies the indepedent variable (\(x\)). Hence, the rate of change of the equation is 3.
c) The y-intercept of the equation is the only constant of the equation. Hence, the y-intercept of the equation is -2.
d) A real-world scenario would be the following: Jayne is working in the grocery one day, according to her calculations, renting the lot costs 2 dollars per day and she could earn 3 dollars per hour by selling pastries. How much money does she earn after working 8 hours?
Can someone explain how to do this?
Answer:
20 6 12 38
5 20 7 32
25 26 19 70
find teh exact value of sin 2x given that sec x = 3/2 and csc y = 3 and x and y are in quadrant 1
The exact value of \(sin 2x\) is \(4√5/9.\)
Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.
In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)
Also, we know that sin \(2x = 2 sin x cos x.\)
Now, we need to find sin x.
Having sec x = 3/2, we can use the Pythagorean identity
\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)
As x is in the first quadrant, it lies between 0° and 90°.
Therefore, x cannot be negative.
Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)
Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)
Therefore, the exact value of sin 2x is 4√5/9.
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A jacket regularly costs $65.How much would the jacket cost if it was on sale with a 20% discount
Answer:
Suppose you earned extra money by having a part-time job. You open up a bank account in order to save your money. Your body acts similar to a bank account—you can “deposit” and “store” energy.
\
Step-by-step explanation:
What is the linear regression equation for the data given? (Round to the nearest tenths place.)
If a (1) deluxe hamburger at Bad Daddy's costs $14, how many
hamburgers could you buy for $84?
Answer:
6
Step-by-step explanation:
divide 84 by 14
Answer:
6
Step-by-step explanation:
just divide 84 by 14 then you have your awnser
What is 75% of 85$?
Pls help
Answer:63.75 :)
Step-by-step explanation:
Answer:
$63.75
Step-by-step explanation:
85 x 75/100
85/1 x 3/4
255/4 - > $63.75
- You should already know how to do this yourself as this is very easy and basic question.
please help me with this
Answer: The last option, or D
Step-by-step explanation:
35x−35y+21
the angle \theta 1θ 1 theta, start subscript, 1, end subscript is located in quadrant \text{iii}iiistart text, i, i, i, end text, and \sin(\theta 1)
The value of the angle θ₁, located in Quadrant IV with sin(θ₁) = -13/85, is such that cosθ₁ = 84/85.
In the given scenario, the angle θ₁ is located in Quadrant IV and sin(θ₁) is given as -13/85. We can use the trigonometric identity to determine the value of cosθ₁.
Using the Pythagorean identity sin²θ + cos²θ = 1, we can substitute sin(θ₁) = -13/85:
(-13/85)² + cos²θ₁ = 1
Simplifying:
169/7225 + cos²θ₁ = 1
cos²θ₁ = 1 - 169/7225
cos²θ₁ = (7225 - 169)/7225
cos²θ₁ = 7056/7225
Taking the square root of both sides, we get:
cosθ₁ = √(7056/7225)
Since the angle θ₁ is located in Quadrant IV where cosθ₁ is positive, the value of cosθ₁ is:
cosθ₁ = √(7056/7225)
Simplifying the square root:
cosθ₁ = 84/85
Therefore, the value of the angle cosθ₁ is 84/85.
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The complete question is:
The angle θ₁ is located in Quadrant IV and sin(θ₁) = -13/85. What is the value of the angle cosθ₁?
john is making a poster for safety awareness week. His poster has 2 sides of equal length. Which math words and numbers are important in this problem
Answer:
2 sides of equal length meaning the poster is a rectangle
A sample of 10 washing machines is selected from a process that is 8% nonconforming. What is the probability of 1 nonconforming washing machine in the sample
To solve this problem, we can use the binomial probability formula:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
Where:
- P(X=k) is the probability of getting k nonconforming washing machines in the sample
- n is the sample size, which is 10 in this case
- p is the probability of getting a nonconforming washing machine, which is 0.08
- (n choose k) is the binomial coefficient, which is the number of ways to choose k items from n without replacement, and is calculated as n! / (k! * (n-k)!)
So, to find the probability of getting 1 nonconforming washing machine in the sample, we plug in k=1:
P(X=1) = (10 choose 1) * 0.08^1 * (1-0.08)^(10-1)
P(X=1) = 10 * 0.08 * 0.9227
P(X=1) = 0.0738
Therefore, the probability of getting 1 nonconforming washing machine in the sample is approximately 0.0738, or 7.38%.
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Can 1-9 be solved please ANSWER FAST!!!
Answer:
1) solution
2x+3*5x=34
2x+15x=34
17x=34
x=34/17
x=2
2) solution
2*4y+3y=44
8y+3y =44
11y=44
y=44/11
y=4
3) solution
4y+5=3y-2
4y-3y=-2-5
y= -7
4) solution
2x+3=4x-1
3+1=4x-2x
4=2x
x=4/2
x=2
5) solution
4(y-1)=3y+3
4y-1=3y+3
4y-3y=3+1
y=4
6) solution
2(1/2y +3)-y=6
2/2y+3-y=6
y+3-y=6
2y=6
y=6/2
y=3
7) solution
8x+2(-4x+11)=13
8x-8x+11=13
11=13
8) solution
2x-3x-9=-4
-x=-4+9
-x=5
x= -5
9) solution
3(3y+1)-5y=11
9y+3-5y=11
4y=11-3
y=8/4
y=2
please marks brainliest I had to spend lot of time typing this.
Which oligonucleotide yields reannealing curve A, and which one gives reannealing curve B? Explain your reasoning.
Reannealing curve A is generated by oligonucleotide A, and reannealing curve B is generated by oligonucleotide B. This is because reannealing curves are determined by the sequence, length, and concentration of the oligonucleotides.
Oligonucleotide A and B have different sequences, which will lead to their different reannealing curves. Oligonucleotide A has a higher melting temperature, meaning it will require more energy to reanneal, resulting in a slower reannealing rate.
Oligonucleotide B has a lower melting temperature, meaning it will require less energy to reanneal, resulting in a faster reannealing rate. Therefore, oligonucleotide A will result in reannealing curve A, and oligonucleotide B will result in reannealing curve B.
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a rectangle is constructed with its base on the diameter of a semicircle
Answer: So the question is?
Step-by-step explanation:
Can somebody plz help answer all the questions correctly!!! thx (Grade7math) btw :)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :D
Answer:
a) 7:4
b) 6:3
c) 4:2
d) 6:2
e) 4:3
f) 4:4
Answer:
a) 7:4
b) 6:3
c) 4:2
d) 6:2
e) 4:3
f) 4:4
Step-by-step explanation:
Determine the number of consonants and vowels, then turn them into ratios.