Answer:
the measure of an angle that is [tex]180^{\circ}[/tex]
Step-by-step explanation:
This would be a straight angle, not an obtuse angle.
Peter deposited some money in a new checking account. Over time, he withdrew the same
amount of money each week to spend on movies and music. The table shows the balance in
Peter's checking account, in dollars, over time.
Time (t)
4 weeks
8 weeks
10 weeks
15 weeks
Balance (B)
$537
$449
$405
$295
How much money did Peter deposit in his checking account?
Complete the equation to represent the situation.
B =
t+
625 is the total amount deposited by Peter in his checking account.
1) According to question
Balance after 4 weeks= 537 (equation 1)
Balance after 8 weeks= 449 (equation 2)
Each week Peter withdraws same amount.
Let the same amount be x.
From equation 1 and 2
Money spent in 4 weeks = 537-449=88
Therefore money spent in one week = 88/4=22
So the amount deposited by Peter=537 +22x 4 weeks
=537+88=625
2) B=625-22t
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How do I solve this problem?
5 + 2/3 ( 2p - 6 ) = 9
Answer:
p = 6
Step-by-step explanation:
5 + 2/3 (2p - 6) = 9
5 + 4/3p - 4 = 9
1 + 4/3p = 9
4/3p = 8
p = 6
Answer:
p= 6
Step-by-step explanation:
Solve for p:
(2 (2 p - 6))/3 + 5 = 9
Put each term in (2 (2 p - 6))/3 + 5 over the common denominator 3: (2 (2 p - 6))/3 + 5 = 15/3 + (2 (2 p - 6))/3:
(15/3 + (2 (2 p - 6))/3) = 9
15/3 + (2 (2 p - 6))/3 = (2 (2 p - 6) + 15)/3:
((2 (2 p - 6) + 15)/3) = 9
2 (2 p - 6) = 4 p - 12:
((4 p - 12) + 15)/3 = 9
Grouping like terms, 4 p - 12 + 15 = 4 p + (15 - 12):
(4 p + (15 - 12))/3 = 9
15 - 12 = 3:
(4 p + 3)/3 = 9
Multiply both sides of (4 p + 3)/3 = 9 by 3:
(3 (4 p + 3))/3 = 3×9
(3 (4 p + 3))/3 = 3/3×(4 p + 3) = 4 p + 3:
(4 p + 3) = 3×9
3×9 = 27:
4 p + 3 = 27
Subtract 3 from both sides:
4 p + (3 - 3) = 27 - 3
3 - 3 = 0:
4 p = 27 - 3
27 - 3 = 24:
4 p = 24
Divide both sides of 4 p = 24 by 4:
(4 p)/4 = 24/4
4/4 = 1:
p = 24/4
The gcd of 24 and 4 is 4, so 24/4 = (4×6)/(4×1) = 4/4×6 = 6:
Answer: p = 6
. Acme Burgers sells a large pop which is 14 oz and comes in a 8" high container. The small pop comes
in a 6" high container which is the same shape as the small pop container. How much does the small
container hold?
Answer:
10.5 oz
Step-by-step explanation:
The large pop and container are similar to the small pop and container.
Thus, we can use proportions to find how much the small container can hold, letting x represent the volume of the small container:
[tex]\frac{14}{8}=\frac{x}{6}\\ 8x=84\\ x=21/2=10.5[/tex]
Can someone explain what the rules are for division algorithm and what it means?
Division algorithm also known as Euclid division lemma.
This algorithm says when a number a is divided by a number b it gives the quotient q and the remainder r .
then a = bq + r where 0 ≤ r < b.
Dividend = Divisor × Quotient + Remainder
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What reason would you use to prove ΔFGH ≅ ΔJHK ?
Select one:
ASA
HL
SAS
cannot prove congruency
SAA
The reason that is used to prove ΔFGH ≅ ΔJHK is SAS property
If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.
The two triangles need to be of the same size and shape to be congruent. Both the triangles under consideration should superimpose on each other.
According to the question,
Given : (1) ∠FGH and ∠JHK are right angles
(2) H is midpoint of GK
(3) GH ≅ JK
In ΔFGH and ΔJHK
∠FGH = ∠JHK ( right angles )GH ≅ JK (given) GH = KH ( H is midpoint of GK )Therefore , ΔFGH ≅ ΔJHK using SAS property
Hence , The reason use to prove ΔFGH ≅ ΔJHK is SAS
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a paper company needs to ship paper to a large printing business. the paper will be shipped in small boxes and large boxes. each small box of paper weighs 50 pounds and each large box of paper weighs 80 pounds. a total of 28 boxes of paper were shipped weighing 1850 pounds altogether
On solving the provided question we can say that, 8 tiny boxes total were shipped and 13 huge boxes were dispatched.
What is equation?A formula is a statement that the values of two expressions are equal. The formula essentially says that two things are equal. An equals sign or '=' indicates that. 8+2=12-2 is an example equation. According to the above formula, the left side of the formula is equal to the right side. So the equation is the statement "this is equal to that".
Let x represent the quantity of tiny boxes, and y represent the quantity of large boxes.
21 cartons in all were despatched, according to the first statement.
Equation 1 is as follows:
[tex]x+y=21[/tex]
For the equation's solution, use the substitution approach.
x's value being entered into equation 2
[tex]25(21-y) +70y =1110 \\ 525-25y+70y = 1110\\ 45y = 585\\ Y=13[/tex]
x+13 = 21
X = 8
8 tiny boxes total were shipped.
13 huge boxes were despatched.
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A photograph is 8 centimeters wide. After Kari enlarges the photograph, it is 3 times as wide as the original. How wide is the photograph in millimeters?
answer: should be
8 *3 =24 centimeters
1cm = 10mm
24cm = 240mm
the photograph is 240 mm
The width of the photograph in millimeters is 240 mm.
How to illustrate the scale?It should be noted that a scale factor simply shows the relationship between a shape abd the original value given.
In this situation, the photograph is 8 centimeters wide and after Kari enlarges the photograph, it is 3 times as wide as the original.
The photograph in millimeters will be:
= 8 × 3 × 10
= 240 millimeters.
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Calculate the slope over the interval 1≤ x<3.
The slope over the interval 1 ≤ x < 3 is m = 3 / 2 .
Given :
the slope over the interval 1 ≤ x < 3
From the graph :
take two points which lies on the interval
( 1 , 0 ) and ( 3 , 3 )
slope :
Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line .
slope m = y2 - y1 / x2 - x1
= 3 - 0 / 3 - 1
= 3 / 3 - 1
= 3 / 2
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schoepfle agency separates its accounts receivable into three age groups for purposes of estimating the percentage of uncollectible accounts. in addition, the balance of allowance for uncollectible accounts before adjustment is $12,500 (credit). accounts not yet due
a. total estimated uncollectible accounts is $21,190
b. to entry the adjustment, we have to debit bad debt expense and credit allowance for doubtful accounts in the amount of $14,690
a. to compute the estimated uncollectible accounts, we have to multiply the specific % to the accounts receivable plus the beginning balance;
•Accounts not due
$36,000 x 4% = $1,440
•Accounts 1 - 60 days past due
$21,000 x 25% = $5,250
•Accounts more than 60 days past due
$16,000 x 50% = $8,000
So the total uncollectible accounts would be; $6,500 + $1,440 + $5,250 + $8,000 = $21,190
b. to record the year-end adjustment of the uncollectible accounts, we have to debit bad debt expense and credit allowance for doubtful accounts in the amount of $14,690. This figure is the uncollectible amount we computed earlier based on the aging.
Therefore, the total estimated uncollectible accounts is $21,190 and to entry the adjustment, we have to debit bad debt expense and credit allowance for doubtful accounts in the amount of $14,690
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Disclaimer
The question given by you is incomplete, so the above answer has been done as per a similar question
Spade Agency separates its accounts receivable into three age groups for purposes of estimating the percentage of uncollectible accounts. In addition, the balance of Allowance for Uncollectible Accounts before adjustment is $6,500 (credit).Accounts not yet due = $36,000; estimated uncollectible = 4%.Accounts 1–60 days past due = $21,000; estimated uncollectible = 25%.Accounts more than 60 days past due = $16,000; estimated uncollectible = 50%.Required:a. Compute the total estimated un-collectible accounts.b. Record the year-end adjustment for estmated un-collectable accounts.
Sarah budgeted $100 for new art supplies. When Sarah purchased the supplies, she
spend $75. What type of variance does this represent?
The variance is a positive variance because the actual amount spent by Sarah was less than the budgeted amount
How to know the type of variance?A variance is the difference between the budgeted amount and the actual amount. It can be positive or negative, depending on whether the actual amount is more or less than the budgeted amount
Given that, Sarah budgeted $100 for new art supplies and spent $75
Variance = $100 - $75 = $25
Therefore, the variance is a positive variance, since the actual amount spent was less than the budgeted amount. A positive variance represents a favorable situation, where the actual amount spent was less than the budgeted amount
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A tool set is on sale for $424.15. The original price of the tool spt was $499.00. What percent of the original price
is the sale price?
Answer:
94 percent.
Step-by-step explanation:
Since the tool set used to be worth 499, but is now worth 424.15, we divide the two prices.
Calculation.
424.15/499 = 0.944654788.
We are figuring out the percent, so we need to round.
0.94465478 is about 0.94
0.94 IS EQUALVENT to 94%, so that is our answer.
What are the vertex and range of y = |2x + 6| + 2? 1 (0, 2); 2 < y < ∞ 2 (0, 2); −∞ ≤ y < ∞ 3 (−3, 2); 2 < y < ∞ 4 (−3, 2); −∞ ≤ y < ∞
Answer: The vertex is at (-6, 2). The range is 2 < y < ∞.
Step-by-step explanation:
y = |2x + 6| + 2 is almost in vertex form, which is y = |x - h| + k. We will divide both values by 2, so the 2 coefficient is on the outside, y = 2|x + 3| + 2.
After this, we can see that the vertex is at (-h, k). This means the vertex is at (-3, 2).
For the range, since this V (the shape of an absolute value graph) opens upwards, it will be everything greater than and equal to the y value of the vertex, in this case, 2. That means our range is;
2 < y < ∞
Answer:
The answer is c, or (3, 2), 2 less than y is greater than infinity
Step-by-step explanation:
I got it right on the test
Have a good day and hope it helps!
c.96 test to see if there is evidence that the lie detector says a person is lying more than 50% of the time, regardless of what the person reads.
It is not possible for a lie detector, or any other type of technology, to accurately determine whether a person is lying more than 50% of the time. Lie detectors, also known as polygraph machines, measure physiological responses such as changes in heart rate, blood pressure, and respiration to determine if a person is telling the truth or not. However, these responses can be affected by many factors, such as anxiety or stress, and are not always reliable indicators of deception. In addition, people can learn how to manipulate their physiological responses in order to deceive the polygraph machine. Therefore, it is not accurate to say that a lie detector can determine whether a person is lying more than 50% of the time
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The positive integers greater than 3 are arranged in rows and columns as illustrated.
In which column is the number 5018?
A) 2
B) 4
C) 6
D) 5
E) 3
The rows and columns of the positive integers greater than three are as shown. And the number 5018 is found in the third column.
When performing a permutation test, you repeatedly rearrange one of the variables without affecting the other variable (s). From the given table, we can start with column 4. Here, each row has about 6 numbers. That is singular row has numbers from columns 1 to 6 and an even row from columns 7 to 2.
Then subtract 5018 by 3. We get 5018-3=5015.
Divide this by 6,
5015/6 = 836.
So 5018 is located in an even row from 7 to 2.
Therefore, 5018 is located in the 836th row and 3rd column.
So the required answer is E) 3.
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the mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of per day. a sample of this radioactive substance was taken six days ago. if the sample has a mass of today, find the initial mass of the sample. round your answer to two decimal places.
The initial mass of the sample is =2.39 kg
Radioactivity=Radioactivity is the phenomenon of the spontaneous disintegration of unstable atomic nuclei to atomic nuclei to form more energetically stable atomic nuclei. Radioactive decay is a highly exoergic, statistically random, first-order process that occurs with a small amount of mass being converted to energy.Radioactive describes something that exhibits or is caused by radioactivity. If something is radioactive, it emits radiation, which usually takes the form of electromagnetic waves or fast-moving elementary particles, such as protons or neutrons.
M(t)= Mo E =2.546 M(3)=2.54-02(3)
=2.54e -0.06
=2.39 kg (initial mass of the sample)
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A Find B in degrees. B a A = 34° a = 6 b = 5 C b B = [?] degrees Round to the nearest tenth.
The measure of the angle B is 28 degrees
How to determine the measure of angle BFrom the question, we have the following parameters that can be used in our computation:
A = 34 degrees
a = 6
b = 5
The measure of angle B can be calculated using the following sine ratio
a/sin(A) = b/sin(B)
Substitute the known values in the above equation, so, we have the following representation
6/sin(34) = 5/sin(B)
So, we have
10.73 = 5/sin(B)
Rewrite as
sin(B) = 5/10.73
Evaluate
sin(B) = 0.4660
Take the arc sin of both sides
B= 28
Hence, the angle is 28 degrees
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Secondary Mortgage Purchasing Company (SMPC) wants to buy your mortgage from the local savings and loan. The original balance of your mortgage was $153,000 and was obtained five years ago with monthly payments at 10 percent interest. The loan was to be fully amortized over 30 years.
Required:
a. What should SMPC pay if it wants an 11 percent return?
b. What is the balance of the original loan after five additional years (10 years from origination)?
SMPC should pay 136,992.36$ if it wants an 11 percent return. and the balance of the original loan after additional years 142,229.05$.
What is the monthly rate of the loan?A monthly rate is a fee for services calculated over a thirty-day period.
Given, Your mortgage will be purchased by the Secondary Mortgage Purchasing Company (SMPC) from the nearby savings and loan. Your mortgage had an initial amount of $153,000 and was obtained five years ago with regular payments at a 10% interest rate. The loan was to be completely repaid over a 30-year period.
Payment Formula = PMT (monthly rate, month, -mortgage)
Present value formula = PV( monthly rate, month left, - payment, - repayment)
Loan value formula = PV (monthly rate, month left, -payment)
a. formula = PMT( 10%/12, 30*12, -153000)
Payment = $1342.68
Formula = PV(11%/ 12, (30-5)* 12, -1342.68)
Smpc pays = $136,992.36
b. Loan balance = 139134.70$
Formlua = PV(11%12,5*12, - 1342.68, -139134.7)
Smpc pays = 142,229.05$
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A fair coin is tossed 2 times in succession. The set of equally likely outcomes is {HH, HT, TH, TT}. Find the probability of getting exactly zero (0) heads.
The probability of getting exactly zero(0) means which comes with no head is P(no head)=1/4.
When a fair coin is tossed; any of the two outcomes are equally likely: head or tail denoted as 'h' and 't' respectively.
So, when a fair coin is tossed twice; the set of all possible outcomes is: {hh, ht, th, tt}.
Thus, there are 4 possible outcomes.
Probability of obtaining exactly 2 heads = (1 / 4) = 0.25Probability of obtaining no head = (1 / 4) = 0.25Probability of obtaining at least one head = (3 / 4) = 0.75Probability of obtaining a head and a tail = (2 / 4) = 0.5To know more about Probability:
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The perimeter of a triangle is 3x² + 6x - 9. If one side length is x² + 2x - 1 and the
other is x² + x - 5, what is the length of the 3rd side?
Answer:
x^2+3x-3
Step-by-step explanation:
(x^2+2x-1)+(x^2+x-5)
2x^2+3x-6
(3x^2+6x-9)-(2x^2+3x-6)
x^2+3x-3
hopes this helps
Answer:
[tex]x^2 + 3x - 3[/tex]
Step-by-step explanation:
The perimeter of a triangle, can be calculated as, the sum of the sides.
So let's first assume the third side is a polynomial, and more specifically, a quadratic in the form: [tex]ax^2+bx+c[/tex]. This assumption is denoted from the fact that the perimeter only has terms up to the degree of 2, also known as x squared. The answer is also a quadratic, so it isn't an unreasonable assumption that if we add two quadratics (the ones given), and add one more quadratic, we should still have quadratic.
So, the sum of the three sides can be expressed as: [tex](x^2 + 2x - 1) + (x^2 + x - 5) + (ax^2 + bx + c)[/tex]
We can combine like terms to get:
[tex](x^2+x^2+ax^2)+(2x+x+bx)+(-1-5+c)[/tex]
Now from here, we can combine like terms (add coefficients):
[tex](2+a)x^2 + (3+b)x + (-6+c)[/tex]
From here, we simply set this equal to the given perimeter of: [tex]3x^2 + 6x-9[/tex], which gives us the equation:
[tex](2+a)x^2 + (3+b)x+(-6+c) = 3x^2 + 6x - 9[/tex]
Now from here, the coefficients need to correspond for both quadratics to be equal to each other, so that means that the following must be true:
[tex](2+a)=3\implies a = 1\\(3 + b) = 6\implies b = 3\\(-6 +c) = -9 \implies c = -3[/tex]
We now plug this into the quadratic standard form to get:
[tex]x^2 + 3x - 3[/tex]
Which is our third side!
2
2
2
18. 1. The Cruisers scored a total of 105 points in a basketball game against the Strikers. The Cruisers had a total
of 43 baskets, some of which were two-point shots and some of which were three-point shots. How many
two-point and three-point shots did the Cruisers score?
The number of two-points and three points shot the cruisers scored are 24 and 19 respectively.
How to find the number of two and three points made?The Cruisers scored a total of 105 points in a basketball game against the Strikers. The Cruisers had a total of 43 baskets, some of which were two-point shots and some of which were three-point shots.
Therefore, the number of two-points and three-points the cruiser scored is as follows:
let
x = number of two-points
y = number of three-points
Hence, using equation
x + y = 43
2x + 3y = 105
Multiply equation(i) by 2
2x + 2y = 86
2x + 3y = 105
subtract equation(i) from equation(ii)
y = 19
Let's find x as follows:
x = 43 - 19
x = 24
Therefore,
number of two points = 24
number of three points = 19
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Solve for y:
2π=2y+6x
Answer: y=pi-3
Step-by-step explanation:
2pi=2y+6
2pi-6=2y
(2pi-6)/2=y
pi-3=y
y=pi-3
hope this helped
you flip a weighted coin that comes up heads 40% of the time and tails 60%. if you flip this coin 5 times, what is the probability that you see at least 3 tails, rounded to the nearest percent? please input your answer as a decimal rounded to the nearest hundreth
The probability that in 5 flips, at least 3 tails will come will be 0.36.
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.Given is that you flipped a weighted coin that comes up heads 40% of the time and tails 60%.
The coin shows up heads 40% of the time and tails 60%, this means that the probability of turning to tails would be 0.6 . For 5 flips that, the probability that at least 3 tails will come will be -
P{A} = (0.6 + 0.6 + 0.6)/5 = 1.8/5 = 0.36
P{A} = 0.36
Therefore, the probability that in 5 flips, at least 3 tails will come will be 0.36
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Convert 13/50 to percent
Answer:
26%
Step-by-step explanation:
To convert a fraction to a percentage, you need to first convert the fraction to a decimal.To convert 13/50 to a decimal, you can divide 13 by 50, which gives you 0.26.To convert a decimal to a percentage, you need to move the decimal point two places to the right, which gives you 26%.So, 13/50 is equivalent to 26%.The value of number 13/50 into percentage is,
⇒ 26%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
The number is,
⇒ 13/50
Now, We get;
The value of number 13/50 into percentage is,
⇒ 13/50 x 100%
⇒ 13 x 2%
⇒ 26%
Thus, The value of number 13/50 into percentage is,
⇒ 26%
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Determine the whole number of standard deviations that includes all data values. The mean price of the nonfiction books on a best-sellers list is $24.18; the standard deviation is $ 3.98.
$19.95, $24.00, $21.00, $28.95, $19.00, $27.95, $19.00, $25.95, $26.00, $29.95
All of the values fall within __ standard deviation (s) of the mean.
All of the values fall within 1.45 standard deviation of the mean.
How to illustrate the standard deviation?From the information given, the mean price of the nonfiction books on a best-sellers list is $24.18 and the standard deviation is $3.98.
It should be noted that from the problem, the variable that is the farthest from the mean is $29.25.
Therefore, the z score will be illustrated as:
Z = (29.95 - Mean) / Standard deviation
Z = (29.95 - 24.18)) / 3.98
= 1.45
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A systems analyst is testing the feasibility of using a new computer system. He wants to see if the new system uses less processing time than the old system. (Assume the original populations are normally distributed.) A sample of 25 jobs was selected and the processing time for each in seconds was recorded on each of the two systems. The results are as follows:Old System: mean = 27.2 seconds, s = 3.2 seconds, n - 25New System: mean = 24.3 seconds, s = 2.1 seconds, n = 25Difference (Old -New): mean = 2.9 seconds, s = 1.4 seconds, n = 25What is the alternative hypothesis for this problem?a. HA: µD≠0b. HA: µD>0c. HA: µD=0d. HA: µD<0
the null hypothesis is that the mean difference between the two systems is 0 (H0: µD=0).The alternative hypothesis for this problem is HA: µD>0.
The alternative hypothesis (HA) is the opposite of the null hypothesis (H0).
In this problem, the null hypothesis is that the mean difference between the two systems is 0 (H0: µD=0).
Therefore, the alternative hypothesis is that the mean difference between the two systems is greater than 0 (HA: µD>0).The mean difference of the two systems is 2.9 seconds. Therefore, the alternative hypothesis is that the mean difference between the two systems is greater than 0 (HA: µD>0).
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the function f is continuous and differentiable on the closed interval [0,4]. the table above gives selected values of f on this interval. which of the following statements must be true?
As per the given function, the value of x is lies between the closed interval [0, 4].
The term function in statistics is defined as a function from a set X to a set Y assigns to each element of X exactly one element of Y.
Here we have given that the function f is continuous and differentiable on the closed interval [0,4].
And we need to find correct statement about this interval.
As per the concept of function, we know that if there is a number c in the closed interval [a , b] such that f(c) ≥ f(x) for all x in [a , b].
Here let us consider that a be the number that has been selected.
So, based on the rule of function can be written as,
=> f(a) ≥ f(x)
where a lies between [0, 4].
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Work out
2 2/7 +1 1/4
Give your answer as a mixed number in its simplest form.
Answer:
It is 3 15/28.
Step-by-step explanation:
To solve this problem, we first need to add the whole numbers: 2 + 1 = 3. Next, we need to add the fractions. To do this, we need to find a common denominator for the fractions 2/7 and 1/4. A common denominator for these two fractions is 28, so we can convert the fractions to equivalent fractions with a denominator of 28: 2/7 is equivalent to 8/28 and 1/4 is equivalent to 7/28. With the fractions written in this form, we can add them to get 8/28 + 7/28 = 15/28.
Finally, we need to add the whole number 3 and the fraction 15/28 to get our final answer. To do this, we need to convert the fraction 15/28 to a mixed number. We can do this by dividing 15 by 28 to get a quotient of 0 and a remainder of 15. This means that the mixed number equivalent of 15/28 is 0 + 15/28. Therefore, our final answer is 3 + 0 + 15/28 = 3 + 15/28 = 3 15/28. This is the simplest form of the mixed number, so our final answer is 3 15/28.
consider the table, which reports the fruit diameter and number of offspring obtained by the researcher in the f2 generation. in the parental lines, l. cheesmanii had a fruit diameter of 8 cm and l. esculentum had a fruit diameter of 16 cm .
The total number of genes involved in fruit diameter in tomatoes is 4.
[tex]1/4^{n}[/tex] = ratio of F2 individuals expressing either extreme Phenotype
In the above equation, 'n' represents the number of genes involved.
The term 'extreme phenotype' refers to the phenotype of one of the parents from the P1 generation. In this case, it denotes the parents with fruit diameters of 8 cm and 16 cm. In the F2 generation, which consists of a total of 256 offspring, there is only 1 offspring that resembles either P1 parent.
The ratio of individuals expressing either extreme phenotype = Number of springs with either extreme phenotype / Total number of off spring.
ratio of F2 individuals expressing either extreme Phenotype = 1/256
Apply the value of 1/256 to the first equation.
That is, [tex]1/4^{n}[/tex] = 1/256
1[tex]1/4^{4}[/tex] = 1/256
As shown above, the value of 'n' is 4.
Therefore, the total number of genes involved in fruit diameters is 4.
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What is the value of the expression:
6 - 5x when x = -2?
Answer: 16
Step-by-step: 6 - (5(-2)=-10 then the - turns into + and your answer is 6 + 10
Find the vertex of each of the following parabolas by averaging the x-intercepts. Then write each equation in graphing form. y=(x-3)(x-11)
The vertex of the parabola is at the point (7, 0) and since the vertex of this parabola is (7, 0), the equation of the parabola in graphing form is
y = a(x - 7)^2.The vertex of a parabola is the point on the graph where the parabola reaches its highest or lowest point. To find the vertex of the parabola y = (x - 3)(x - 11), you can average the x-intercepts of the parabola, which are the points where the parabola crosses the x-axis. The x-intercepts of this parabola are at x = 3 and x = 11, so the average of these two points is (3 + 11) / 2 = 7.
To write the equation of the parabola in graphing form, you can use the vertex form of a parabola, which is written as
y = a(x - h)^2 + kwhere (h, k) is the vertex of the parabola and a is a coefficient that determines the direction of the parabola (whether it opens upwards or downwards). Plugging in the values for the vertex and the y-coordinate of the vertex (which is 0), we get
y = a(x - 7)^2 + 0.Learn more about Parabola here:
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