Answer:
Peyton would have 3 papers remaining to grade after working for 12 hours.
Step-by-step explanation:
1. Make an equation to represent this problem.
87 - (7 * 12) = r
(r represents how many papers are remaining after 12 hours.)
2. Solve 7 * 12.
87 - (84) = r
3. Subtract.
3 = r
find a recurrence relation for the number of bit sequences of length n with an even number of 0s.
The recurrence relation for the number of bit sequences of length n with an even number of 0s is 2 [tex]a_{n-1}[/tex] for n>=2 and a1=1.
Let a be the even number of 0s in all the bit sequences of length n.
1st instance. The sequence begins with a 1, and there are [tex]a_{n-1}[/tex] such strings of length n-1 that must contain an even number of 0s.
Second instance. The sequence must begin with a 0, followed by an odd number of 0s in the subsequent n-1-length sequence. An even number of 0s can be found in one of the [tex]2^{n-1}[/tex] possible bit strings, so [tex]2^{n-1} -a_{n}[/tex] strings have an odd number of 0s.
[tex]a_{n}= a_{n-1}+2^{n-1} -a_{n-1}\\a_{n}=2^{n-1}[/tex]
Therefore, the recurrence relation is
an = 2[tex]a_{n-1}[/tex] for n >= 2.
a1 = 1.
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HELP! I HAVE ONLY 40 mins left!!!! 53 POINTS AND BRIANLYEST
Evaluate:
10 Σn=1 8(1/4) n -1= [?]
The evaluation is 10.67 of given geometric progression.
What is Geometric progression series?A geometric progression is a set of elements where each succeeding element is created by multiplying the one before it by a number called the common ratio. The standard representation for a geometric progression series is a, ar, ar²,..., where an is the first term and r is the common ratio of the sequence.
The ratio between two consecutive numbers, or a number divided by the number before it in the sequence, is known as the common ratio since it is the same for all numbers or common.
The sum of a finite geometric series can be found using the formula:
[tex]a (1-r^{n}) / (1-r)}[/tex].
Where a is the first term and r is the common ratio between successive terms.
To find the ratio of successive terms by plugging into the formula
r = aₙ +1 / (aₙ)
Simplifying,
r =1/4
And the first term is;
when n=1, a = 8
Substituting all the values to the formula,
The summation of GP
= 8 x { 1 - (1/4)¹⁰ } / {1- (1/4)}
= 8 { 1 - (1/1048576) / (3/4)
= 8 x {(1048576 - 1) / 1048576} x (4/3)
= 8 x (1048575 / 1048576) x (4/3)
= 8 x 349525 / 262144
= 2796200 / 262144
= 10.6666
The decimal form is 10.67.
Therefore, the evaluation is 10.67.
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what is an equation of the line that passes through the point (1,6)(1,6) and is perpendicular to the line x 3y
The equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3.
What is a perpendicular line?
If two geometrical objects overlap at a right angle, they are perpendicular. It can be defined between two planes, two lines, or two planes and another line.
Here, we have
Given
The point (1, 6) and is perpendicular to the line x + 3y = 27
The slope of the line x + 3y = 27
m = -1/3
The slope of the line perpendicular to the line x + 3y = 27
M = 3
The equation of the line:
y - 6 = 3(x - 1)
y = 3x + 3
Hence, the equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3.
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If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
If 1=3, 2=3, 3=5, 4=4, and 5=4, then it is not possible to determine the value of 6. In this scenario, the numbers are not being used in a consistent or logical manner, so it is impossible to predict what value 6 might have. In general, it is not possible to determine the value of a number based on a series of equations that do not follow the rules of arithmetic.
Can someone please help me
The equivalent expressions of 9/7x-3/4 are 9/7x+(-3/4) and -3/4+9/7x.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 9/7x-3/4.
Nine by seven times of x minus three by four.
x is the variable of expression.
The equivalent expression is an expression whose value is same but looks different.
9/7x-3/4.
By commutative property
-3/4+9/7x is an equivalent expression of 9/7x-3/4.
9/7x+(-3/4).
When we simplify we get 9/7x-3/4.
-9/7x+3/4 is also a equivalent expression we get it by multiplying with negative.
Hence, 9/7x+(-3/4) and -3/4+9/7x are equivalent expressions of 9/7x-3/4.
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Imagine tossing a fair coin 4 times give a probability for this chance process
B define event b as getting exactly three tails find P(B)
This can be solved by Binomial Probability Distribution Method.
By solving we get P(B) = 0.25.
What is Binomial Probability Distribution?The binomial distribution is the discrete probability distribution used in probability theory and statistics that only allows for Success or Failure as the possible outcomes of an experiment. For instance, if we flip a coin, there are only two conceivable results: heads or tails, and if we take a test, there are only two possible outcomes: pass or fail. A binomial probability distribution is another name for this distribution.
P(X=x)=Cₙ.ₓ×p^x×(1-p)^(n-x)
Cₙ,ₓ=[tex]\frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.Explanation:Case 1:
The coin is tossed 4 times, hence n=4
It is a fair coin, so it has equal number of chances for heads and tails. So P(a)=0.5
Case2:
P(B) is P(X=3),hence:
P(X=x)=Cₙ.ₓ×p^x×(1-p)^(n-x)
⇒P(X=3)=C₄,₃×(0.5)^3×(0.5)^(1)
⇒P(X=3)=0.25
This can be solved by Binomial Probability Distribution Method.
By solving we get P(B) = 0.25.
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This can be solved by Binomial Probability Distribution Method.
By solving we get P(B) = 0.25.
What is Binomial Probability Distribution?The binomial distribution is the discrete probability distribution used in probability theory and statistics that only allows for Success or Failure as the possible outcomes of an experiment. For instance, if we flip a coin, there are only two conceivable results: heads or tails, and if we take a test, there are only two possible outcomes: pass or fail. A binomial probability distribution is another name for this distribution.
P(X=x)=Cₙ.ₓ×p^x×(1-p)^(n-x)
Cₙ,ₓ= [tex]\frac{n!}{x!(n-x)!}[/tex]
The parameters are:
• x is the number of successes.
• n is the number of trials.
• p is the probability of a success on a single trial.
Explanation:Case 1:
The coin is tossed 4 times, hence n=4
It is a fair coin, so it has equal number of chances for heads and tails. So P(a)=0.5
Case2:
P(B) is P(X=3),hence:
P(X=x)=Cₙ.ₓ×p^x×(1-p)^(n-x)
⇒P(X=3)=C₄,₃×(0.5)^3×(0.5)^(1)
⇒P(X=3)=0.25
This can be solved by Binomial Probability Distribution Method.
By solving we get P(B) = 0.25.
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What does the word amphibian come from? like amphi comes from the word ** and Brian comes from the word **
Answer:
The word amphibian is a Greek word. It is the combination of the world “amphi,” which means dual, or both kinds and the word “bio,” which means life.
Step-by-step explanation:
The name amphibian, derived from the Greek amphibios meaning “living a double life,” reflects this dual life strategy—though some species are permanent land dwellers, while other species have a completely aquatic mode of existence. Approximately 8,100 species of living amphibians are known.
PLEASE HELP 5 QUESTIONS MUST BE GOOD AT MATH
DO NOT ANSWER THE QUESTION ASKING A QUESTION COMMENT THE QUESTION PLEASE WILL GIVE BRAINLY ONLY IF ALL QUESTONS CORRECT
Answer:
1. B
2. A
3. B
4. D
5. C
Find the equation of the quadratic given its real roots 2-√3 and 2+√3 which passes through the point (1, -2).
Step-by-step explanation:
the factors are x-2+sqrt(3) and x-2- sqrt(3)
the basic form of the quadratic is x^2-4x+1, multiplying those factors together (there are 9 terms)
y=a(x^2-4x+1) is the general form
-2=a(-2)
a=1
a=(2/11)
the equation is y=x^2-4x+1
The punnett square shows the results when two parent dogs are crossed. L represents the allele for a long tail, and l represents the allele for a short tail. Which best describes this inheritance pattern? incomplete dominance because neither allele for tail length is dominant codominance because neither allele for tail length is dominant incomplete dominance because the offspring display an intermediate form of tail length codominance because the offspring display an intermediate form of tail length.
The best description for the inheritance pattern will be incomplete dominance because the offspring display an intermediate form of tail length.
The relationship is referred to be "complete dominance" when the phenotype (the observable trait) of the heterozygote is identical to the dominant homozygote. Complete dominance isn't necessarily the result, but rather imperfect supremacy, as heredity is full of variances and changes.
Although we are aware of total dominance, you might still be unclear as to how partial dominance varies. Is it essentially what the name implies? When one allele for a certain trait is not completely dominant over its counterpart, this is known as partial dominance (or the other allele). The outcome is a mixed phenotype, which is evident in the progeny.
Why does this matter? Each parent's characteristics are neither dominant nor recessive. A third phenotype that combines the traits of the two homozygotes results from a partial dominance relationship between two alleles; this is known as a "intermediate form of inheritance." The features are combined and appear to be "blended," but the alleles do not blend yet, partial dominance is frequently referred to as "blending."
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Answer: incomplete dominance because the offspring display an intermediate form of tail length.
Or C.
Step-by-step explanation:
taking the test on edge
Which of the following are like radicals? Check all of the boxes that apply.
\
The like radicals are 3x√x²y, –12x√x²y, x√yx² and 2√x²y.
What are radicals?A radical expression is an expression containing a square root.
Given are some expressions,
Like radicals are those whose entities in the square root are the same.
So, from the given options, like radicals are:
3x√x²y = This is like radical with the entity x²y inside the square root.
–12x√x²y = This is like radical with the entity x²y inside the square root.
x√yx² = This is like radical with the entity x²y inside the square root.
2√x²y = This is like radical with the entity x²y inside the square root.
Hence, The like radicals are 3x√x²y, –12x√x²y, x√yx² and 2√x²y.
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The following account and correponding balance were drawn from Dexter Company’ Year 2 and Year 1 year-end balance heet. Account Title Year 2 Year 1
Bond payable $213,600 $302,000
Common tock 374,900 282,100
Other information drawn from the accounting record:
Dividend paid during the period amounted to $38,400. There were no bond liabilitie iued during the period. Required
a. Compute the amount of cah flow aociated with the repayment of bond liabilitie. B. Compute the amount of cah flow aociated with the iue of common tock. C. Prepare the financing activitie ection of the tatement of cah flow
the dividend payment from the proceeds from the issuance of common stock to get our total financing activities of $54,400.
A. Cash flow associated with repayment of bond liabilities: $88,400
B. Cash flow associated with the issuance of common stock: $92,800
C. Financing activities section of the statement of cash flow:
Bonds payable:
Repayment of bonds payable ($88,400)
Common stock:
Proceeds from issuance of common stock 92,800
Dividends paid (38,400)
Total financing activities $54,400
The financing activities section of the statement of cash flow shows the cash flow associated with all financing activities of the company. First, we calculate the cash flow associated with the repayment of the bonds. We subtract the Year 2 balance from the Year 1 balance, which gives us a cash flow of $88,400. Next, we calculate the cash flow associated with the issuance of common stock. We subtract the Year 1 balance from the Year 2 balance, which gives us a cash flow of $92,800. Finally, we subtract
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Convert 1 1/8 to a decimal….
Answer:
1.375
Step-by-step explanation:
11/8=1.375
Which theorem shows that △ABC ≅ △DEF?There
are two triangles, triangle ABC and triangle DEF. Side AB is congruent
to side DE, side AC is congruent to side DF, side BC is congruent to
side EF.
A. The triangles are not congruent.
B. SAS Triangle Congruence Theorem
C. Isosceles Triangle Theorem
D. SSS Triangle Congruence Theorem
Answer:
D
Step-by-step explanation:
The correct answer is D. The SSS Triangle Congruence Theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. In the given situation, triangle ABC and triangle DEF are congruent because all three sides of triangle ABC are congruent to the corresponding sides of triangle DEF.
how would including a control group be useful in this experiment? responses it would provide a reference for the effects of random environmental factors. it would provide a reference for the effects of random environmental factors. it would provide a number against which percentages can be computed. it would provide a number against which percentages can be computed. it would provide a value for which the standard ph can be measured. it would provide a value for which the standard ph can be measured. it would provide a standard number to test for statistical uncertainty. it would provide a standard number to test for statistical uncertainty.
It would provide a reference for the effects of random environmental factors.
What is control group?A control group is a statistically significant subset of experiment participants who are not exposed to factors. For example, in a pharmaceutical medication research, the control group is given a placebo, which has no impact on the body. Assume you want to put a new ADHD medicine to the test. One group would be given the new drug, while the other would be given a tablet that looked precisely like the one given to the others, but it would be a placebo. The control group would be the group that receives the placebo.
Here,
It would serve as a reference for the effects of uncontrollable environmental elements.
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Need help also stepbystep
Answer: -81
Step-by-step explanation: So, when finding exponents, you have to multiply the # in parentheses (in this case, -3) and multiply it by itself 4 times, so once is 3 x 1, twice is 3 x 3 = 9, three times is 9 x 3 = 27, and finally, 27 x 3 = 81. Oh, and a positive times a negative is ALWAYS negative. I hoped this explains why this is the rule for exponents.
6. The discount price of a hat is $18. What is the regular price?
The store offers a 20% discount btw .
Answer:$22.50 regular price
Step-by-step explanation: RP=Regular Price
RP-20%of RP=18
RP-0.20RP=18........RP =1RP
1RP-0.20RP=18
0.80RP=18
RP=18/0.80
RP=$22.50
Answer:
22.50
Step-by-step explanation:
other answer is cryptic so here is a full explaination
To find the regular price of the hat, we need to determine the amount of the discount and then add that amount to the discount price.
The discount on the hat is 20% of the regular price, or 20/100 * regular price. The discount price is $18, so we can set up the equation:
discount price = regular price - (20/100 * regular price)
Substituting the known values into the equation, we get:
$18 = regular price - (20/100 * regular price)
Solving for the regular price, we find that the regular price is $22.50. This is the price of the hat before the discount.
Please help me answer this question
Step-by-step explanation:
5x - 3 = 5
5x = 8
x = 8/5 = 1.6
5x = 2
x = 2/5 = 0.4
both equations are vertical lines.
the first one (x = 1.6) was moved (translated) left by 1.2 units to become x = 0.4.
Select the graph for the solution of the open sentence. Click until the correct graph appears.
|x| + 1 > 7/2
Answer:
graph C
Step-by-step explanation:
if x≥ 0
x + 1 > 7/2
x > 7/2 - 1
x > (7-2)/2
x > 5/2
if x < 0
-x + 1 > 7/2
- x > 7/2 - 1
- x > 5/2
x < -5/2
final solutions
x < -5/2 ∨ x > 5/2
WILL GIVE 50 POINTS
Which statement can be used to prove that the two triangles are congruent? the SAS Postulate the SSS Postulate the HL Theorem the ASA Postulate
Answer:
the HL Postulate
Step-by-step explanation:
The diagram gives us the information that 2 sides and 1 angle are congruent. Since the sides we know are a leg and the hypotenuse, and it is a right angle- we know to use the HL (Hypotenuse-Leg) Postulate.
If the angle given was the angle between the hypotenuse and the leg, we could use the SAS (Side-Angle-Side) Postulate. But, since it is the right angle instead- we know to use the HL Postulate!
1. slope =
2.
y-intercept = 0
Answer: y= 2x
Step-by-step explanation:
The linear function is y=mx+b
In this case, the m or slope is 2
And the b or y-intercept is 0
So we have the equation
y= 2x
question a polynomial p(x) has a relative maximum at (-2,4) , a relative minimum at (1,1) , a relative maximum at (5, 7) and no other critical points. how many zeros does p(x) have?
The polynomial p(x) must have at least two zeros, since it has three relative extrema.
What is polynomial?
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x²- 4x + 7 is an illustration of a polynomial with a single indeterminate x.
Here i would think that since there are only 3 critical points given and no other information other than that those are the only critical points that p(x) would not have any real zeros.
At each of the relative extrema, the value of the function changes from increasing to decreasing or vice versa, meaning that the function crosses the x-axis at that point, which is a zero. Therefore, p(x) must have at least two zeros.
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I need help!!!
BC.
AB.
BD.
CD.
Given all angle information, the assumption that sides [tex]\overline {BC}[/tex] must not be congruent to [tex]\overline{DA}[/tex] to give an appropriate answer. (Right choice: None)
How to determine what side is the shortest one in a quadrilateral
Any quadrilateral can be divided into two triangles by adding a diagonal. By Euclidean geometry, the sum of the measures of internal angles equals 180°. Likewise, we can determine how short or long a side is in terms of side BD by law of sine:
AD / sin 60° = AB / sin 63° = BD / sin 57°
1.155 · AD = 1.122 · AB = 1.192 · BD
AD = 0.971 · AB = 1.032 · BD
BC / sin 57° = CD / sin 55° = BD / sin 68°
1.192 · BC = 1.221 · CD = 1.079 · BD
BC = 1.024 · CD = 0.905 · BD
By direct inspection and use of equality properties, we find the existence of an absurdity, because 1.032 · BD = 0.905 · BD, then [tex]\overline {BC}[/tex] must not be congruent to [tex]\overline{DA}[/tex] to satisfy all angle conditions.
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pooja's plant began sprouting 222 days before pooja bought it, and she had it for 989898 days until it died. at its tallest, the plant was 303030 centimeters tall. h(t)h(t)h, (, t, )models the height of pooja's plant (in centimeters), ttt days after she bought it. which number type is more appropriate for the domain of hhh?
If Pooja's plant began sprouting 2 days before Pooja bought it, and she had it for 98 days until it died , then the most appropriate for the domain of h is (c) -2 ≤ t ≤ 98 .
The term Domain is defined as the set of its possible inputs .
number of days before which the Pooja's plant sprouted = 2 days ,
the number of days Pooja had the plant is = 98 days ,
the height of the plant is denoted by the function ; h(t) .
where "t" is the number of days after she bought the plant .
From the above data , we can conclude that the domain for the function h(t) is -2 ≤ t ≤ 98 .
Therefore , the correct option is (c) -2 ≤ t ≤ 98 .
The given question is incomplete , the complete question is
Pooja's plant began sprouting 2 days before Pooja bought it, and she had it for 98 days until it died. at its tallest, the plant was 30 centimeters tall. h(t) models the height of Pooja's plant (in centimeters), t days after she bought it. Which number type is more appropriate for the domain of h ?
(a) 0 ≤ t ≤ 30
(b) 0 ≤ t ≤ 100
(c) -2 ≤ t ≤ 98
(d) 2 ≤ t ≤ 30
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Find the volume of question number 14
Answer:
5494.5
Step-by-step explanation:
[tex]\frac{1}{3}(37)(33)(13.5)=5494.5[/tex]
This bar chart shows the average monthly expenditure, by category, of
households in a particular town in 2010 and 2020.
Average monthly expenditure (£)
600
500
400
300
200
100
Clip 15
Key:
2010
2020
I
Transport Utility Food Housing Leisure
bills Category
a) Which category shows a decrease
in the average monthly expenditure
between 2010 and 2020?
leisure
b) How much more was the average
monthly expenditure on Food in
2020 than in 2010?
c) The total average monthly
expenditure in 2010 was £1200.
What was it in 2020?
View One Minute Version
£
Find a Clip
£
a) The category that shows a decrease in the average monthly expenditure between 2010 and 2020 is Leisure.
b) The average monthly expenditure on food was 175 euros more in 2020 than in 2010.
c) The total expenditure in 2020 is of: 1,625 euros.
What is shown by the bar chart?The bar chart shows the average monthly expenditure in five categories, considering that:
The blue bar represents the year of 2010.The gray bar represents the year of 2020.
Then a decrease happens for the category which the blue bar is greater than the gray bar, which is Leisure.
The averages on Food are given as follows:
2010: 150 euros.2020: 325 euros.Hence the difference is of:
325 - 150 = 175 euros.
From the gray bars, the 2020 total is given as follows:
250 + 425 + 325 + 550 + 75 = 1,625 euros.
Missing InformationThe bar graph is given by the image shown at the end of the answer.
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if a vehicle is going 75 mph, how many feet does it travel in one second? 110 feet 660 feet 330 feet 550 feet
The vehicle travels 110 feet distance in 1 second duration.
What is mean by mph?mph expresses the speed or velocity in miles per hour. Speed means rate of change of distance with respect to time.
speed = distance/time
hence, distance = speed x time
the above equation is the relationship between distance, speed and time
How can we calculate distance in feet?we will use the above equation and convert miles to feet and second to hour.
given, speed of vehicle = 75 mph
time = 1 second =1/3600 hour as 1 hour = 3600 second
distance travel by vehicle = speed x time
= 75 mph x 1/3600 hour
distance = 0.020833333 miles
we know, 1 mile =5280 feet
distance in feet = 110 feet
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what is the answer for 3(3)-2y=10
Answer:
y=-0.5
Step-by-step explanation:
3(3)-2y=10
9-2y=10
-2y=1
y=-1/2
Answer:
y=-0.
Step-by-step explanation:
I need help on this geometry probability question
Answer:
83% to (rare photos) becaheyhw euehem e the same time of 6year and I was in a group with my wife and a daughter and my daughter in the night and I was so happy 4and was a 4ship 4in who 5is and my daughter and my husband were so young that I was in the same 5 year olds and I was in the