Answer:
Step-by-step explanation:
7th term of the first sequence is 14
first we need to find out the nth term so,
tn=Ti+(n-1)d
2(n-1)2
2+2n-2
2n+2-2
2n+0
Now we need to find out the 7th term
n=7
2(7)-0
14-0=0
Second sequences 7th term is 33
first we need to find the nth term
1(n-1)3
1+3n-3
3n+1-3
3n-2
so now we need to find 7th term
3(7)-2
35-3
33
the 4th sequence 7th term is 20
matts meat market has turkey legs on sale 3 legs for 3.99 marks meat market has turkey legs 5 legs for .70 what deal is better
The better deal between the two deals on turkey leg is 5 legs for .70
How to determine the better dealThe better deal is solves by comparing the 2 prices with the unit price
if 3 legs for 3.99 marks one leg will be
3 = 3.99
1 = ?
cross multiplying
3 * ? = 1 * 3.99
? = 3.99/3
? = 1.33
if 5 legs for 0.70, one leg will be
5 = 0.70
1 = ?
cross multiplying
5 * ? = 1 * 0.7
? = 0.7/5
? = 0.14
5 legs for 0.70, is cheaper per unit price and a better deal
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An experimenter would like to construct a 99% confidence interval with a width at most 0. 5 for the average resistance of a segment of copper cable of a certain length. If the experimenter knows that the standard deviation of such resistances is 1. 55. How big a sample should the experimenter take from the population? what happens if the standard deviation and the width of the confidence interval are both doubled?.
A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.
In the given question,
The confidence level = 99%
Given width = 0.5
Standard deviation of resistance(σ)= 1.55
The formula to find the a big sample that should the experimenter take from the population is
Margin of error(ME) =[tex]z_{\alpha /2}\frac{\sigma}{\sqrt n}[/tex]
So n= [tex](z_{\alpha /2}\frac{\sigma}{ME})^2[/tex]
where n=sample size
We firstly find the value of ME and [tex]z_{\alpha /2}[/tex].
Firstly finding the value of ME.
ME=Width/2
ME=0.5/2
ME=0.25
Now finding the value of [tex]z_{\alpha /2}[/tex].
The given interval is 99%=99/100=0.99
The value of [tex]\alpha[/tex] =1−0.99
The value of [tex]\alpha[/tex] =0.01
Then the value of [tex]\alpha /2[/tex] = 0.01/2 = 0.005
From the standard table of z
[tex]z_{0.005}[/tex] =2.58
Now putting in the value in formula of sample size.
n = [tex](2.58\times\frac{1.55}{0.25})^2[/tex]
Simplifying
n=(3.999/0.25)^2
n=(15.996)^2
n=255.87
n≈256
Hence, the sample that the experimenter take from the population is 256.
Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.
The new values,
Standard deviation of resistance(σ)= 2×1.55
Standard deviation of resistance(σ)= 3.1
width = 2×0.5
width = 1
Now the value of ME.
ME=1/2
ME=0.5
The z value is remain same.
Now putting in the value in formula of sample size.
n= [tex](2.58\times\frac{3.1}{0.5})^2[/tex]
Simplifying
n=(7.998/0.5)^2
n=(15.996)^2
n=255.87
n≈256
Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.
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Ray buys a computer game for $38. He uses a coupon to receive 15% o the price ofthe game. After the coupon is deducted, he must pay 6% sales tax. What is the totalcost of the game, to the nearest cent
Answer:
$34.24
Step-by-step explanation:
Answer: 34.24
Step-by-step explanation:
in a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 58 and a standard deviation of 4. using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 54 and 62? do not enter the percent symbol. ans
the approximate percentage of daily phone calls is 0.
Mean= 58
Standard deviation= 4
x= 54 and 62.
Now, solving to find the percentage of daily phone calls numbering between 54 and 62.
[tex]let x_{1} =54 and x_{2}=62[/tex]
first calculating the z-score for daily 54 phone calls.
Formula used:
[tex]z-score = x-mean/standard deviation[/tex]
[tex]z- score=54-58/4[/tex]
[tex]z-score=-4/4[/tex]
z-score= -1
∴ z-score for daily 54 phone call is -1.
Next, calculating the z-score for daily 62 phone calls.
z-score= 62-58/4
z-score= 4/4
z-score= 1
∴ z-score for daily 62 phone call is 1.
We can observe that there is change in z-score for 54 phone call and 62 phone call.
Lets use the normal distribution table to find the percentage of daily phone calls numbering between 54 and 62.
⇒ Percentage of daily phone calls numbering between 54and 62=
[tex](z-scorex_{1})-(z-scorex_{2} )[/tex]
⇒ Percentage of daily phone calls numbering between 54 and 62=
(z-score1) - (z-score-1)
Using normal distribution table
⇒ Percentage of daily phone calls numbering between 54 and 62=
0.34134-0.34134 = 0
Hence, 0 is the percentage of daily phone calls numbering between 54 and 62.
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An ice cream shop had 316 customers the first weekend it had 468.What is the percent of increase in the number of customers? Round the nearest percent
The percent increase in the number of customers is 48% .
In the question ,
it is given that
number of customers came ice cream shop in first weekend = 316 customers
number of customers that came in second weekend = 468 customers .
increase in number of customers = 468 - 316 = 152
So , the percent increase in number of customers can be calculated using the formula ,
percent increase = (increase in customer)/(number of customers in first weekend) × 100
Substituting the values , in the percent increase formula , we get
percent increase = 152/316 × 100
= 0.4810 × 100
= 48.10
≈ 48%
Therefore , The percent increase in the number of customers is 48% .
The given question is incomplete ,the complete question is
An ice cream shop had 316 customers the first weekend it opened. The second weekend it had 468. What is the percent of increase in the number of customers? Round to the nearest percent.
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is there any one that knows arts becuase no one has answerd my last question can somone answer it please
Answer:
i know arts
Step-by-step explanation:
If cos x = 2/5 then what is the positive value of sin 1/2x in simplest radical form with
a rational denominator?
The positive value of sin x/2 is [tex]\frac{\sqrt{30} }{10}[/tex]
What are trigonometric ratios?Trigonometric ratios are the ratios of sides of a right-angle triangle. The most common trigonometric ratios are sine, cosine, and tangent.
The relationship between cos x and sin x/2 is
sin x/2 = [tex]\sqrt{\frac{1 - cosx}{2} }[/tex]
cos x = 2/5
sin x/2 = [tex]\sqrt{\frac{1-\frac{2}{5} }{2} }[/tex]
1 - 2/5 = 3/5
simplifying 3/5 ÷ 2
removing division sign and taking the reciprocal of 2, we have
3/5 x 1/2 = 3/10
so that
sin x/2 = [tex]\sqrt{\frac{3}{10} }[/tex]
which can be written as
sin x/2 = [tex]\frac{\sqrt{3} }{\sqrt{10} }[/tex]
By rationalizing [tex]\frac{\sqrt{3} }{\sqrt{10} }[/tex] we multiply it with [tex]\frac{\sqrt{10} }{\sqrt{10} }[/tex]
so that we have [tex]\frac{\sqrt{3} }{\sqrt{10} }[/tex] x [tex]\frac{\sqrt{10} }{\sqrt{10} }[/tex] = [tex]\frac{\sqrt{30} }{10}[/tex]
In conclusion, the radical form of sin x/2 is [tex]\frac{\sqrt{30} }{10}[/tex]
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Three polygons meet at point A. How many sides must the largest polygon have?
The largest polygon must have
Blank 1:
sides?
Answer:
It should be 80.
is it possible to choose (2n 1)^2 points in the disc of radius n such that the distance between any two of them is greater than 1?
Answer: its (4f 5) ^3
Step-by-step explanation:
If three times the sum of two number is 42 abd five times their difference is 20 find the numbers.
Chapter Equations Grade 10
Answer:
5 and 9
Step-by-step explanation:
3(x+y) = 42
5(x-y) = 20
3/3 (x+y) = 42/3
5/5 (x-y) = 20/5
x+y = 14
x-y = 4
x-x = 0
y-(-y) = y+y = 2y
14-4 = 10
2y = 10
2/2 y = 10/2
y = 5
x-5 = 4
x = 4 + 5
x = 9
Answer:
One number is 5 and the other number is 9
Step-by-step explanation:
what triangle congruence theorem could you use to prove triangle ADE is congruent to triangle CBE?
The triangle congruence theorem that could be used to show that triangle ADE is congruent to triangle CBE is Angle-Side-Angle Triangle Congruence Theorem also known as ASA Triangle Congruence Theorem
Congruence Theorem
Congruence theorem states that "if all the three sides of one triangle are equal to all the three sides of another triangle, then both the triangles are congruent to each other."
Given,
Here we need to identify the angle congruence theorem could you use to prove triangle ADE is congruent to triangle CBE.
While we looking into the given triangles we can say that;
=> ∠AED = ∠CEB
Because they are both vertically opposite angles and vertically opposite angles are equal.
From the given triangle, we are given that;
That is,
=> ∠DAE = ∠BCE
We are also know that
=> AE = CE
Therefore, this means that we have 2 corresponding angles and 1 corresponding included side that are congruent.
So, the congruence theorem that this represents is Angle-Side-Angle Congruence theorem.
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More points up for grabs please do this ASAP!
Answer:
x=2
y=16
Step-by-step explanation:
fill in y
2x+(6x+4)=20
8x+4=20
-4. -4
8x=16
/8. /8
x=2
Now fill in X to find y
y=6(2)+4
y=12+4
y=16
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The following system of equations is graphed below.
Find the solution to the system.
-2x+3y=-3
2x + 5y = 27
Answer:
(6,3)
Step-by-step explanation:
Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than 14 times the number of shells Mary has. Nancy has 1
more than 1 times the number of shells Mary has, Gracie and Nancy have the same number of shells. If x is the number of shells Mary has,
identify the equation that represents this situation and identify its solution.
x = 18
5
x = 24
x = 16
Given: Mary, Gracie, and Nancy all have little collections of seashells, but Gracie has 5 more than 14 times as many as Mary does. So Mary has 16 shells
To find: Recognize the equation that captures this circumstance and recognize its resolution.
olution:
Let x be mary's shells, so according to question, we get:
gracie = 14x + 5 nancy = 1 x+ 1
Now we have given that:
gracie = nancy
So: 14x + 5 = 1 x + 1
5/4x + 5 = 3/2x + 1
Fractions will be eliminated by multiplying by the common denominator of 4, but this step is optional; you can still work with fractions if you choose.
Now solving further, we get:
5x + 20 = 6x + 4 5x - 6x = 4 - 20 -x = - 16 x = 16.
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2 (3x - 5) +3 (2x+3)
The answer is 12x-1
From the question, we have
2(3x - 5) +3 (2x+3)
=6x-10+6x+9
=12x-1
The answer is 12x-1
Addition:
The act of combining two or more items is known as addition. The process of computing the sum of two or more numbers in mathematics is called addition. It is a fundamental mathematical procedure that is frequently used in daily life. When we work with money, figure out our food bills, or figure out the time, we frequently employ addition. One-digit numbers can be added simply for solving addition problems, however for bigger numbers, we divide the numbers into columns using their corresponding place values, such as ones, tens, hundreds, thousands, and so on.
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A 52 foot ladder is set against the side of a house so that it reaches up 48 feet. If jevonte grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (the answer is not 45 ft. ) round to the nearest tenth of a foot.
The distance it will reach to x, = 46.6 feet
What is pythagoraes theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, in mathematics is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and the hypotenuse c: Pythagoras, a Greek philosopher who was born around 570 BC, is remembered by the theorem's name. The theorem has likely been proved the most times of any mathematical theorem using a variety of techniques. The evidence is varied, incorporating both geometric and.acc to our question-
x = 20. Now if we add the 3 feet that the ladder was pulled away from house, the distance from the base of the ladder to the house is 23 feet, the ladder is still 52 feet long, but what's different is the height of the ladder up the side of the house, our new x: sox = 46.6 feethence,The distance it will reach to x, = 46.6 feet
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a population of ground squirrels has an annual per capita birth rate of 0.08 and an annual per capita death rate of 0.02. calculate an estimate of the total number of individuals added to (or lost from) a population of 1000 individuals in one year. if individuals are lost, use a negative sign in front of your answer.
Per year 40 squirrels are added
What is estimation explain?Any of the many statistical methods used to determine the value of a population's attribute based on observations of a sample taken from the population is known as an estimate. For instance, a point estimate is the one figure that is most likely to convey the property's value.
What are the estimation and types?Estimates are created by multiplying the unit cost of the relevant goods by the amounts derived from the dimensions of the designs for various things needed to execute the project. Estimates' objectives: should be aware of the financial requirements for finishing the suggested task.
According to the given question
The birth rate is 0.06 and the death rate is 0.02 per person per year. The number of deaths per year for a population of 1000 is equal to 1000*0.02, or 20. The annual birth rate is equal to 1000 * 0.06, or 60. As a result, the population of squirrels grows by a total of 40 individuals each year
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EXTRA POINTS PLEASE HELP ASAP!!! Will give Brainliest if correct
The local botanical garden is setting up for a special event called "Music Mondays." They expect to have 100 people show up to the event and want to make sure that they have enough room for that many chairs. The first row has 8 chairs in it and each new row adds four chairs. How many chairs would be on the 5th row? Would 5 rows be enough to accommodate the 100 people?
Answer:
The 5th row has 24 chairs, and therefore not enough chairs for 100 people.
Step-by-step explanation:
The equation for this situation is , f(x) = 4x+4 The reason for this is, there is 4 chairs added to every row, so in order to make row number one make sense, you must subtract 4 to find the y-intercept which is also 4.
To find if the 5th row has enough for 100 people, you must plug 5 in for x
The 5th row has 24 chairs, and therefore not enough chairs for 100 people.
The required chairs in the 5th row there is 24 chairs and 5 rows are not enough to accommodate 100 people.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values are common.
Here,
A given scenario is of arithmetic progression,
Let the first term be a = 8,
and the common difference between chairs is d = 4,
Now,
Let the number of rows be n,
Now,
The explicit arithmetic formula is given as,
Number of chairs = 8 + (n - 1)4
Now put n = 5
Number of chairs = 8 + (5 - 1) 4
= 8 + 16
= 24
So, in the 5th row, there will be 24 chairs.
Now,
For 100 people number of chairs would be 100
Apply the sum formula of arithmetic progression,
Where sum gives the total number of chairs for n rows,
Sum = n / 2 (a + l)
Sum = 5 / 2(8 + 24)
= 5 / 2 (32)
= 5 × 16
= 80 chairs
Thus, the required chairs in the 5th row there is 24 chairs and 5 rows are not enough to accommodate 100 people.
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7.8c + 6p - 3.4c -10
What is the answer?
7.8c + 6p - 3.4c - 10
combine c terms:
4.4c + 6p - 10
If you need to factor:
4.4c + 6p - 10
2(2.2c + 3p - 5)
What is the square of 1 to 100?.
We get the squares of the number as 1 , 4 , 9 , 16.......as given below, hence we get square of any number by product with itself.
What is square of the number?The outcome of multiplying an integer by itself is referred to as the resultant number's square. In essence, a square number is a result of multiplying two identical numbers. The best illustration of a square number in geometry is the area of a square with side lengths of "n" (where n is an integer).
As an illustration, (-7)² = -7 -7 = 49 (two negative signs multiplied by each other result in a positive sign). The value of multiplying -7 and -7 is 49, which is a positive square number.
Below are the squares of 1 to 100.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
11² = 121
12² = 144
13² = 169
14² = 196
15² = 225
16² = 256
17² = 289
18² = 324
19² = 361
20² = 400
21² = 441
22² = 484
23² = 529
24² = 576
25² = 625
26² = 676
27² = 729
28² = 784
29² = 841
30² = 900
31² = 961
32² = 1024
33² = 1089
34² = 1156
35² = 1225
36² = 1296
37² = 1369
38² = 1444
39² = 1521
40² = 1600
41² = 1681
42² = 1764
43² = 1849
44² = 1936
45² = 2025
46² = 2116
47² = 2209
4²2 = 2304
49² = 2401
50² = 2500
51² = 2601
52² = 2704
53² = 2809
54² = 2916
55² = 3025
56² = 3136
57² = 3249
58² = 3364
59² = 3481
60² = 3600
61² = 3721
62² = 3844
63² = 3969
64² = 4096
65² = 4225
66² = 4356
67² = 4489
68² = 4624
69² = 4761
70² = 4900
71² = 5041
72² = 5184
73² = 5329
74² = 5476
75² = 5625
76² = 5776
77² = 5929
78² = 6084
79² = 6241
80² = 6400
81² = 6561
82² = 6724
83² = 6889
84² = 7056
85² = 7225
86² = 7396
87² = 7569
88² = 7744
89² = 7921
90² = 8100
91² = 8281
92² = 8464
93² = 8649
94² = 8836
95² = 9025
96² = 9216
97² = 9409
98² = 9604
99² = 9801
100² = 10000
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according to statistics reported on news source, a surprising number of motor vehicles are not covered by insurance. sample results, consistent with the news report, showed 69 of 300 vehicles were not covered by insurance. (a) what is the point estimate of the proportion of vehicles not covered by insurance?
The point estimate of the proportion of vehicles not covered by insurance is 0.23.
Given x = Number of Successes = 69
n = sample size = 300
We are interested in the point estimate of the population proportion p.
What is the point estimate of the population proportion p and how do we calculated is shown below.
The point estimate of the number of successes x and the sample size n
p = x/n
Substituting the known values into the formula and evaluating, we obtain:
p = x/n = 69/300 = 0.23
Hence the answer is The point estimate of the proportion of vehicles not covered by insurance is 0.23.
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A common inhabitant of human intestines is the bacterium escherichia coli, named after the german pediatrician theodor escherich, who identified it in 1885. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 50 cells. (a) find the relative growth rate.
A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician the odor Escherich, who identified it in 1885. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 50 cells.
The relative growth rate is k = 3 ln 2 hr -1
To find out the relative growth rate:
Let the exponential model is
A = [tex]Pe^{kt}[/tex]
We have been given that
(a)Cell divides into two cells every 20 minutes
[tex]t = \frac{20}{60} = \frac{1}{3}hr[/tex]
A = 2P
Thus, we have
2P= Pe[tex]\frac{k}{3}[/tex]
In 2 = In(e[tex]\frac{k}{3}[/tex])
In 2 = [tex]\frac{k}{3}[/tex]
k = 3 ln 2 hr -1
Hence, the answer is k = 3 ln 2 hr -1 for the relative growth rate
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In ΔUVW, VW = 14, WU = 2, and UV = 15. Which tatement about the angle of ΔUVW mut be true?
The statement about the angle of ΔUVW must be true is m∠W>m∠U>m∠V. The correct option is F.
Given that in ΔUVW, VW = 14, WU = 2, and UV = 15.
We want to find the statement about the angle ΔUVW must be true from the attached image.
As we know the theorem that, If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side.
Then according to the above theorem that the long side of the triangle corresponds to the big angle theorem.
So, we get that m∠W>m∠U>m∠V
Hence, the statement which is true about the ΔUVW is m∠W>m∠U>m∠V.
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what steps are necessary before you can calculate the test statistic for a two sample test of means with population variances equal but unknown? choose two.
We have to calculate the estimated standard error and means of the two samples before calculating the test statistic for a two sample test of means with population variances equal but unknown.
In the given question, we have to explain steps that are necessary before you can calculate the test statistic for a two sample test of means with population variances equal but unknown.
The test statistic for a two-sample independent t-test is derived by dividing the difference between the means of the two samples by the estimated standard error, either pooled or unpooled. The total amount of variation in both groups is gauged by the anticipated standard error.
So we have to calculate the estimated standard error and means of the two samples before calculating the test statistic for a two sample test of means with population variances equal but unknown.
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Solve for X, try to make your answer a whole number if possible.
11 + 5x/2 = 26
Answer:
x=6
Step-by-step explanation:
11+5x/2=26
-11. -11
5x/2=15
x2. X2
5x=30
/5. /5
x=6
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Does a two-digit number exist such that the digits sum to 9 and when the digits are reversed the resulting number is 9 greater than the original number? identify the system of equations that models the given scenario. t u = 9 10t u = 10u t â€"" 9 t u = 9 10t u = 10u t t u = 9 tu = ut 9
The system of equations that models the given scenario is t + u = 9 and 10t + u = 10u + t - 9.
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
The answer would be "t + u = 9 and 10t + u = 10u + t - 9".
This can be found if you replaced t with 4 and u with 5.
Adding the 2 digits would give you 9.
Use the formula "10t + u = 10u + t - 9".
Replace t and u with 4 and 5 then simplify. 10*4 + 5 = 10*5 + 4 - 9. Simplifying you'd get 45 = 54 - 9 or 45 = 45 which makes the statement true.
Thus making "t + u = 9 and 10t + u = 10u + t - 9" the answer.
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A toy manufacture has designed a new piece for use in
building models. It is a cube with side length 12 inches
and it has a 9 inch diameter circular hole cut through the
middle. What is the volume of the piece?
Answer:
964.6 in³
Step-by-step explanation:
You want the volume of a 12-inch cube with a 9-inch diameter hole through its center. The axis of the hole is perpendicular to opposite faces.
Hole volumeThe volume of the hole is the volume of a cylinder 4.5 inches in radius and 12 inches high. That volume is ...
V = πr²h
V = π(4.5 in)²(12 in) = 243π in³ ≈ 763.4 in³
Cube volumeThe volume of a 12-in cube is ...
V = s³
V = (12 in)³ = 1728 in³
Piece volumeThe volume of the piece is the amount of the cube remaining after the volume of the hole is removed.
piece volume = cube volume - hole volume
piece volume = 1728 in³ -763.4 in² = 964.6 in³
The volume of the piece is about 964.6 cubic inches.
The volume of the toy is about 406.42 cubic inches.
How to find the Volume of the given shape ?we want the volume of a 12-inch cube with a 9-inch diameter hole through its center. The axis of the hole is perpendicular to opposite faces.
Hole volume
The volume of the hole is the volume of a cylinder 4.5 inches in radius and [tex]\sqrt{3}[/tex] 12 inches high. ( Volume of the cylinder)
V = πr²h
V = π(4.5 in)²([tex]\sqrt{3}[/tex] 12 in) = 243 [tex]\sqrt{3}[/tex] π in³ ≈ 1321.58 in³
Cube volume
The volume of a 12-in cube is .
V = s³
V = (12 in)³ = 1728 in³
piece volume = cube volume - hole volume
piece volume = 1728 in³ - 1321.58 in² = 406.42 in³
The volume of the piece is about 406.42cubic inches.
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Select the correct answer.
Which number best represents the slope of the graphed line?
A. -5
B.-1/5
C. 1/5
D.5
The correct option (A) -5 which represents the slope of the graphed line having points (0,2) and (1,-3).
The general form for forming the linear equation is:
[tex]y-y1= m (x-x1)[/tex]
where x and y are axis coordinates respectively.
m is the slope of the straight line.
Now we need to calculate the slope of the line.
Formula used:
[tex]m = y2- y1/x2-x1[/tex]
Here,
[tex](x1, y1) = (0, 2), (x2, y2) = (1,-3).[/tex]
[tex]m = (-3-2)/(1-0)\\m = -5/1\\m = -5[/tex]
Therefore, the slope of the graphed line is -5 having points (0,2) and (1,-3).
So, the -5 number best represents the slope of the graphed line.
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Step-by-step explanation:
The correct option (A) -5 which represents the slope of the graphed line having points (0,2) and (1,-3).
The general form for forming the linear equation is:
y-y1= m (x-x1)y−y1=m(x−x1)
where x and y are axis coordinates respectively.
m is the slope of the straight line.
Now we need to calculate the slope of the line.
Formula used:
m = y2- y1/x2-x1m=y2−y1/x2−x1
Here,
(x1, y1) = (0, 2), (x2, y2) = (1,-3).(x1,y1)=(0,2),(x2,y2)=(1,−3).
\begin{gathered}m = (-3-2)/(1-0)\\m = -5/1\\m = -5\end{gathered}
m=(−3−2)/(1−0)
m=−5/1
m=−5
Therefore, the slope of the graphed line is -5 having points (0,2) and (1,-3).
So, the -5 number best represents the slope of the graphed line.
Learn at brainly3. Marcos had 20 coins in nickels and quarters. The total of his coins is $3.00. How many
quarters and nickels does he have?
Answer:
q=10 n=10
Step-by-step explanation:
nickel = 5¢ (or 0.05)
quarters = 25¢ (or .25)
[tex]q+n=20\\.25q+.05n=3\\\\\\-.05(q+n)=20(-.05)\\-.05q-.05n=-1\\\\-.05q-.05n=-1\\.25q+.05n=3\\---------\\0.2q= 2\\-- --\\0.2 \\q=10 \\\\10+n=20\\n=20-10\\n=10\\\\.25(10)+.05(10)=3\\2.5+0.5=3[/tex]
Michael draws a quadrilateral that has four congruent sides, but does not have congruent angles. Which best describes the quadrilateral michael drew?.
Michael depicts a quadrilateral with four congruent sides but no congruent angles; the generated quadrilateral is best described as a rectangle.
A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal (360°/4 = 90°). A square is a rectangle with four equally long sides. Oblong is occasionally used to describe a rectangle that isn't square. Rectangle ABCD would be the designation for a rectangle with the vertices ABCD.a quadrilateral with four congruent sides but no congruent angles; the generated quadrilateral is best described as a rectangle.
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