The common ratio is 1/3 and the fifth term of a geometric progression (GP) is 2/81 if the first and third terms of the GP are 2 and 2/9, respectively.
Let's call the common ratio of the GP "r".
We know that the first term of the GP is 2, so:
a₁ = 2
We also know that the third term of the GP is 2/9, so:
a₃ = 2/9
We can write the following using the nth term of a GP formula:
a₃ = a₁ * r²
Substituting the values we know, we get:
2/9 = 2 * r²
Dividing both sides by 2, we get:
1/9 = r²
Taking the square root of both sides (and remembering that r must be positive since it's a common ratio), we get:
r = 1/3
Now we can find the fifth term of the GP using the formula:
a₅ = a₁ * r⁴
Substituting the values we know, we get:
a₅ = 2 * (1/3)⁴
a₅ = 2 * (1/81)
a₅ = 2/81
Therefore, the common ratio is 1/3 and the fifth term of the GP is 2/81.
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A, B & C lie on a straight line.
D, B & E lie on a different straight line.
∠
CBE = 62°.
Work out the angle marked
x
.
The angle marked x is 28°
What is the straight-line equatiοn?The fοrmula fοr a simple straight line is Y = mX + b, where Y is the respοnse (dependent) variable, X is the predictοr (independent) variable, m is the estimated slοpe, and b is the estimated intercept.
We have,
A, B & C lie in a straight line.
D, B & E lie οn a different straight line.
∠CBE = 62°.
x =?
Because < ABD and <CBE are οppοsite vertex angle
<ABD = <CBE
And because ∠CBE = 62°
∠ABD = 62°.
1 x = 90°- 62°
= 28
Hence, the angle marked x is 28°
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what is the image of (-3,0) after a dilation by a scale factor of 2 centered at the origin
Step-by-step explanation:
A dilation is a transformation that enlarges or reduces an object by a certain scale factor, and it is centered at a fixed point. In this case, we want to dilate the point (-3, 0) by a scale factor of 2, and the center of dilation is at the origin (0, 0).
To perform the dilation, we first need to find the distance between the point (-3, 0) and the center of dilation (0, 0), which is simply the magnitude of the vector (-3, 0), or 3.
Next, we need to multiply this distance by the scale factor of 2 to get the new distance after dilation, which is 6.
Finally, we need to find the point that is 6 units away from the origin along the same line that passes through the origin and the original point (-3, 0). This can be done by multiplying the direction vector of this line by the distance of 6 and adding the result to the center of dilation (0, 0). The direction vector is (-3, 0), normalized to have unit length, which is (-1, 0).
So the image of (-3, 0) after dilation by a scale factor of 2 centered at the origin is:
(-1 * 6, 0 * 6) + (0, 0) = (-6, 0)
Therefore, the image point is (-6, 0).
A cookie jar contains several cookies:
• 12 chocolate chip cookies
8 peanut butter cookies
.4 sugar cookies
Jace randomly selected a cookie from the jar.
What is the probability in decimal form that the cookie Jace selected was a chocolate chip cookie?
Answer:
.50 chance that she gets a chocolate chip cookie or 50 percent.
Step-by-step explanation:
half of all the cookies in the jar are chocolate chip cookies. 12/24 meaning that there is a 50/50 chance that she'll get a chocolate chip cookie
.50
Time_1-5 6-10 11-15 16-20 21-25 26-36 21-35 36-40 freq_2,5,8,10,14,6,4,1 Calculate (a) mean.(b) deviation (c) standard deviation
To calculate the mean, we first need to find the midpoint of each class interval. We can do this by adding the lower and upper limits of each interval and dividing by 2. We can then multiply each midpoint by its corresponding frequency and add up the products. Finally, we divide by the total frequency to get the mean:
Class interval Midpoint Frequency Midpoint x Frequency
----------------------------------------------------------------
1-5 3 2 6
6-10 8 5 40
11-15 13 8 104
16-20 18 10 180
21-25 23 14 322
26-36 31 6 186
21-35 28 4 112
36-40 38 1 38
----------------------------------------------------------------
Total frequency: 50
Mean = (6 + 40 + 104 + 180 + 322 + 186 + 112 + 38) / 50 = 921 / 50 = 18.42
To calculate the deviation, we need to find the difference between each midpoint and the mean, and then multiply by the corresponding frequency. We can then add up the productsClass interval Midpoint Mean Midpoint - Mean (Midpoint - Mean)^2 Frequency (Midpoint - Mean)^2 x Frequency
--------------------------------------------------------------------------------------------------------------
1-5 3 18.42 -15.42 238.1764 2 476.3528
6-10 8 18.42 -10.42 108.5764 5 542.8820
11-15 13 18.42 -5.42 29.3764 8 235.0112
16-20 18 18.42 -0.42 0.1764 10 1.7640
21-25 23 18.42 4.58 20.9764 14 293.6704
26-36 31 18.42 12.58 158.4964 6 950.9784
21-35 28 18.42 9.58 91.9364 4 367.7456
36-40 38 18.42 19.58 383.4464 1 383.4464
----------------------------------------------------------------------------------------------------------
Total frequency: 50 3251.8512
To calculate the standard deviation, we first need to find the variance, which is the sum of the squared deviations divided by the total frequency:
Variance = (476.3528 + 542.8820 + 235.0112 + 1.7640 + 293.6704 + 950.9784 + 367.7456 + 383.4464) / 50
= 65.0378
Then, we take the square root of the variance to get the standard deviation:
Standard deviation = sqrt(65.0378) = 8.06
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PLEASE ANSWER ASAP! How does the volume of a triangular prism change if it’s height is cut in half
Triangular prism formulas
volume = 0.5 * b * h * length , where b is the length of the base of the triangle, h is the height of the triangle, and length is prism length.
area = length * (a + b + c) + (2 * base_area) , where a, b, c are sides of the triangle and base_area is the triangular base area.
Calculate the circumference
and area of the circle. Use
3.14 for π.
The diameter is 8
The radius is 4
Answer:
The circumference of a circle is calculated using the formula `C = 2πr`, where `r` is the radius of the circle. Since you have given the radius as 4 and asked to use 3.14 for π, we can calculate the circumference as `C = 2 x 3.14 x 4 = 25.12`.
The area of a circle is calculated using the formula `A = πr^2`, where `r` is the radius of the circle. Using the same values for π and r as before, we can calculate the area as `A = 3.14 x (4)^2 = 50.24`.
So, for a circle with a diameter of 8 and a radius of 4 (using 3.14 for π), its circumference is approximately **25.12** and its area is approximately **50.24**.
WHOEVER ANSWERS FIRST gets BRAINLIEST! (If your wrong I will report.) What is the volume, in cubic inches, of 1 of the cubes? ALSO what is the surface area, in square inches, of the cubes?
The volume and the surface area of the prism is 6 and 22 square inches²
First, lets find the volume of the prism
Volume:
[tex]\text{Volume}=\text{(Area of the base)}\times\text{height}[/tex]
[tex]\text{Volume}=(3\times2)\times1[/tex]
[tex]\text{Volume}=6 \ \text{square inches}^2[/tex]
Since the volume of the prism is 6, now to find the Surface area of the cubes.
[tex]\text{Surface area}= \text{Total area of the 2-dimensional surfaces to make 3-dimensional }[/tex]
[tex]\text{Surface area}=2\times3=6, \ 3\times1=3, \text{and} \ 1\times2=2[/tex].
[tex]\text{Surface area}=6(2)+3(2)+2(2)=22 \ \text{square inches}^2[/tex]
The surface area of the prism is 22.
Therefore, the volume and the surface area of the prism is 6 and 22 square inches²
Help fasttttt!!!!!!
I attached a picture of the question.
The transformation rule is to: rotate triangle ABC by 90 degrees around the origin
What is the transformation rule used?As we are given the coordinates of Triangle ABC as:
Coordinate of point A = (1, 1)
Coordinate of point B = (3, 1)
Coordinate of point C = (1, 4)
The coordinates of the transformed image A'B'C' are:
A' (-1, 1) ,
B'(-1, 3)
C' (-4, 1)
The transformation rule would be to rotate triangle ABC by 90 degrees around the origin
The rule for this transformation is: (x,y) => (-y ,x)
A(1,1) => A' (-1,1) ,
B(3,1) => B'(-1 , 3)
C(1,4) => C' (-4,1)
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J'K'L'M' is a translation of JKLM by
-6
(₂9).
2
a) What are the coordinates of K'?
b) What are the coordinates of M'?
vector
Y
4
2-
11
-10-9-8-7-6-5-4-3 -2 -10
-1-
-2-
نہ بن
-3-
-4
-5+
1 2
JK
3 4 5 6 7 8 9 10
X
M L
After answering the provided question, we can conclude that Therefore, the coordinates of M' are (11, -8).
what are coordinate ?In mathematics, a coordinate is a number or combination of integers that indicates the location of a point or object in space. Coordinates are frequently used to define a point or object's position in a specific coordinate system, such as the Rectilinear or polar coordinate systems. In the Cartesian coordinate system, a point is located by its distance from the origin along the x-axis and its distance first from origin along the y-axis. These distances are represented by two digits, the x-coordinate and indeed the y-coordinate. The point's position in the plane is specified by the two coordinates.
(x', y') = (x, y) - (a, b)
a) To find the coordinates of K', we need to use the above formula with (a, b) = (-6, 2) and (x, y) = (3, 4) (the coordinates of K in the original figure)
(x', y') = (x, y) - (a, b)
= (3, 4) - (-6, 2)
= (3 + 6, 4 - 2)
= (9, 2)
Therefore, the coordinates of K' are (9, 2).
(x', y') = (x, y) - (a, b)
= (5, -6) - (-6, 2)
= (5 + 6, -6 - 2)
= (11, -8)
Therefore, the coordinates of M' are (11, -8).
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I need help please help
Me answer
Answer:
the area is 40
Step-by-step explanation:
animal scientists studied foraging behavior of the scrub lizard, found in central florida. foraging is the process of searching for food. to study such behavior, the scientists recorded the number of head movements per minute for a sample of 63 lizards. a 95 percent confidence interval constructed from the sample is given as
The statement is valid in light of the fact that the stretch can oblige three head developments every moment.
How does probability work?The probability of an event occurring is referred to as probability. We frequently have to make predictions about the future in real life. We may or may not be aware of the outcome of an event.
At the point when this happens, we broadcast that there is plausible that the occasion will happen. In conclusion, probability can be put to great use in business as well as in this rapidly expanding field of artificial intelligence.
By simply dividing the total number of outcomes by the favorable number of possibilities, the probability of an event can be calculated using the probability formula.
As a result, the claim is true because the time allows for three head movements per minute.
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.
If the gymnasium is 30 meters long and 16 meters wide what will the distance be between opposite corners
prove using the well-ordering principle that two consecutive elements of fibonacci's sequence cannot both be divisible by 13. can you generalize your result?
Our assumption that two consecutive elements of the Fibonacci sequence can be divisible by 13 is false, and the proposition is proved.
We begin with the fact that the Fibonacci sequence is an increasing sequence; that is, each element is greater than the one before it.
The sequence is defined as follows:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903, and so on.
Now, let us prove the proposition by contradiction. Assume that there are two consecutive elements of the Fibonacci sequence that are divisible by 13. Then there must be some integer n such that:
F(n) = 13m, andF(n + 1) = 13p,
where m and p are integers.
Since the Fibonacci sequence is defined recursively by F(n) = F(n-1) + F(n-2), we can obtain an expression for F(n-2) in terms of F(n) and F(n-1):
F(n-2) = F(n) - F(n-1)Since F(n) and F(n-1) are both divisible by 13, their difference must also be divisible by 13.
Therefore, F(n-2) is divisible by 13 as well. However, this contradicts the well-ordering principle, which states that every non-empty set of positive integers has a least element.
Since the Fibonacci sequence is an increasing sequence, there must be some least element k such that F(k) is divisible by 13 but F(k-1) is not. But this means that F(k-2) cannot be divisible by 13, which contradicts our assumption that both F(n) and F(n-1) are divisible by 13.
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Within this population, what is the probability that a student likes rap music?
(Each dot represents 1 person)
Group of answer choices
4/21
9/21
4/17
5/17
Answer:
i think the right answer is 9/21
Step-by-step explanation:
hope it will help you!!
Justine gets dressed in the dark and decides to do an experiment to determine what color sock she will randomly grab from her sock drawer. She drew pairs of socks twelve times to determine the frequency of the occurrences. She then drew pairs of socks a large number of times and calculated the experimental probability based on the frequencies she found. Determine the correct values to complete the rest of the table. The data from her experiment is displayed in the table below.
Answer: Well look at it closely so it will help you understand more of it.
Step-by-step explanation: I read it over and over and over again and I think this will help.
Ms. Bryant puts pens and pencil in gift bags for her students what is the greatest number of gifts bags Ms. Bryant can make she has 72 pencils and 54 pens no pens or pencils will be left over
The greatest number of gift bags Ms. Bryant can make with 72 pencils and 54 pens is 18, with 4 pencils and 3 pens in each bag.
To find the greatest number of gift bags that Ms. Bryant can make, we need to find the greatest common factor (GCF) of the numbers of pencils and pens she has.
We can start by listing the factors of each number:
Factors of 72: [tex]1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72[/tex]
Factors of 54: [tex]1, 2, 3, 6, 9, 18, 27, 54[/tex]
To find the GCF, we look for the largest factor that is common to both lists. In this case, the largest common factor is 18.
This means that Ms. Bryant can make 18 gift bags, each containing 4 pencils and 3 pens, with no pencils or pens left over.
Therefore, the greatest number of gift bags Ms. Bryant can make with the given number of pencils and pens is 18.
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What is the measure of angle x?
Answer:
Step-by-step explanation:So that is a right angle,which means the sum is 90 degrees.so you subtract 90 from 62 then you have your answer.
Answer:
x = 28°
Step-by-step explanation:
It is given that the full angle measurement is a right angle (90°), denoted by the blue(?) box.
Set the equation:
Total angle measurement (90) = x + 62
I~
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 62 from both sides of the equation:
90 (-62) = x + 62 (-62)
x = 90 - 62
x = 28
x = 28° is your answer.
~
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probabilities for parametric probability distribution models are expressed as what kind of probability?
The it is used to understand the likelihood of getting a particular outcome or event from a population.It is important to note that the probabilities for parametric probability distribution models are expressed as cumulative probabilities. Cumulative probabilities are used to evaluate the probability of a particular event or outcome.
Probabilities for parametric probability distribution models are expressed as cumulative probabilities.Parametric probability distribution refers to a type of probability distribution in which the probability distribution is defined by the probability distribution's parameters. The parameters are usually numeric values that define the distribution's probability density function (PDF) or probability mass function (PMF).The probability distribution is usually used to model a population's characteristics.
It is used to help understand the probability of obtaining a particular set of results from a population.Cumulative probabilities Cumulative probability refers to the probability of obtaining a score equal to or lower than a particular value in a given distribution. It is a probability value that is used in statistical analysis, which is usually represented by the area under the probability distribution's curve.The cumulative probability can be expressed as follows:P(X ≤ x)Where;X: random variablex: score or valueCumulative probabilities are used to evaluate the probability of a particular event or outcome.
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The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using
Answer:
PEMDAS or BIDMAS
Step-by-step explanation:
You want to know how to remember the order of operations.
AcronymsCommonly used acronyms for the Order of Operations are ...
PEMDAS
BIDMAS
The letters of these stand for ...
P, B — parentheses or brackets
E, I — exponents or indices
M, D — multiplication and division
A, S — addition and subtraction
PrecedenceExpressions enclosed in grouping symbols (parentheses or brackets) have the highest precedence. They are evaluated first, according to the order of operations.
Exponents (indices) are evaluated next. A sequence of exponent operations, such as a^b^c is evaluated right to left, as a^(b^c), unless parentheses modify the order.
Because exponents and indices have a higher precedence than other arithmetic operations, something like 2^3x is evaluated as (2^3)x, not 2^(3x), and √2p is (√2)p, not √(2p). It is fairly common to see a square root erroneously written as 3^1/2 = (3^1)/2 = 3/2 when 3^(1/2) = √3 is intended.
Multiplication and division have the same precedence. Even though M precedes D (or D precedes M, depending on which acronym you use), they are evaluated in order of appearance left to right. As with exponents, a common error is forgetting to put parentheses around numerators and denominators. For example, 3/2π is different from 3/(2π).
Similarly, addition and subtraction have the same precedence and are evaluated in order of appearance, left to right.
CompositionThe composition (ring) operator (∘) is used to signify a sequence of functional or transformation operations. For example (f∘g)(x) is the composition of functions f and g. The functions or transformations in a composition are evaluated right to left:
(f∘g)(x) = f(g(x))
Special notationsOperations performed on functions can be written in confusing ways. For example, ...
[tex]y = f^{-1}(x)\qquad\text{means }x=f(y),\text{ not }y=\dfrac{1}{f(x)}[/tex]
The notation using a positive exponent stands in contrast:
[tex]\sin^4(x)\qquad\text{usually means }(\sin(x))^4,\text{ not }\sin(\sin(\sin(\sin(x))))[/tex]
On the other hand, an exponent applied to a function name can mean recursive application of the function, as in sin²( ) = sin(sin(...)). It can also mean an n-th derivative. Context is important in such situations.
Error Analysis: Your friend concluded that because two discriminants are equal, the solutions to the two equations are the same. Explain your friend's error. Give an example of two quadratic equations that disprove this conclusion.
HELP PLEASE (50 points)
Answer:
Your friend's error is that having two equal discriminants doesn't necessarily mean that the two quadratic equations will have the same roots. The discriminant of a quadratic equation determines whether the roots are real, complex, or equal. If two quadratic equations have the same discriminant, then they have the same nature of roots, but that does not mean that their roots are equal.
As an example, consider the following two quadratic equations:
1. x^2 + 4x + 4 = 0
2. x^2 + 6x + 9 = 0
Both equations have the same discriminant: (b^2 - 4ac) = 16 - 16 = 0, but their roots are different. The first equation has one real root: x = -2, while the second equation has only one root, which is repeated twice: x = -3.
Therefore, it is incorrect to conclude that two quadratic equations have the same roots just because they have the same discriminants.
consider the pharmaceutical company that desires an estimate of the mean increase in blood pressure of patients who take a new drug. the blood pressure increases (measured in points) for the 6 patients in the human testing phase are shown below. 1.7 3.0 0.8 3.4 2.7 2.1 what assumptions must be made in order for a 95% confidence interval for the mean increase in blood pressure to be valid?
If below assumptions are not met, then the validity of the confidence interval may be compromised, and alternative methods may need to be used to estimate the mean increase in blood pressure.
Describe Sampling?In statistics, sampling is the process of selecting a subset of individuals or objects from a larger population for the purpose of studying or estimating certain characteristics of the population. The subset of individuals or objects is known as a sample.
Sampling is often used when it is impractical or impossible to collect data on the entire population. By studying a representative sample, statisticians can make inferences about the population as a whole with a certain level of confidence.
In order for a 95% confidence interval for the mean increase in blood pressure to be valid, the following assumptions must be made:
Random sampling: The patients included in the study must be selected at random from the population of interest (i.e. patients who would take the drug in the real world). This helps to ensure that the sample is representative of the population and reduces the risk of bias in the results.Independence: The measurements of blood pressure increases for each patient must be independent of each other. This means that the blood pressure increase for one patient should not be influenced by the blood pressure increase of another patient.Normality: The distribution of blood pressure increases in the population of interest should be approximately normal. This assumption is important because it allows us to use parametric statistical methods to estimate the mean increase in blood pressure and calculate the confidence interval.Equal variance: The variance of blood pressure increases should be approximately equal across the population of interest. This assumption is important because it allows us to use a pooled variance estimate in calculating the confidence interval, which can improve the precision of the estimate.If these assumptions are not met, then the validity of the confidence interval may be compromised, and alternative methods may need to be used to estimate the mean increase in blood pressure.
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An astronaut who weighs 180 pounds on Earth would weigh 30 pounds on the Moon. If an object weighs 7 pounds on the Moon, how much would it weigh on Earth?
The object would weight 42 pounds on Earth.
Define weightIn physics, weight is a measure of the force exerted on an object due to gravity. It is a vector quantity, which means that it has both magnitude (numerical value) and direction.
Let's denote the weight of the object on Earth as W and set up a proportion:
Weight on Earth / Weight on Moon = Gravitational force on Earth / Gravitational force on Moon
Using the given information, we can substitute the weights and simplify:
W / 7 = 180 / 30
W / 7 = 6
Multiplying both sides by 7, we get:
W = 7 ×6 = 42
Therefore, the object would weigh 42 pounds on Earth.
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Find the measure of angle DBC.
Answer:
60°
Step-by-step explanation:
We know that a straight line would be 180 °.
we can see that the line is split into 3 equal sides .
180° ÷ 3 = 60°
Your cell phone plan costs $39.99 plus $0.19 for each text message you send or receive. you have at most $49 to spend on your cell phone bill
Answer:
in image
Step-by-step explanation:
if it helped you please mark me a brainliest :))
David went to the farmers market in san pedro and bought 3 churros for $2. 1. He then went to the swap meet on saturday and bought 5 churros for $3. 20. Which is the better buy for david
The better buy for david is churro at the swap
To determine which is the better buy for David, we need to compare the cost per churro for each purchase.
For the farmers market purchase, David bought 3 churros for $2.1, so the cost per churro is:
Cost per churro at farmers market = 2.1/3 = 0.7
For the swap meet purchase, David bought 5 churros for $3.20, so the cost per churro is:
Cost per churro at swap meet = 3.2/5 = 0.64
Since the cost per churro at the swap meet is lower than the cost per churro at the farmers market, buying churros at the swap meet is the better buy for David.
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a motorboat travels -3.4 miles per hour for 0.75 hours how far did it go
Answer:
239 miles in 0.75 of an hour
Step-by-step explanation:
BEFORE solving an equation, how do you know if it is a 1-step or Multi-step
equation?
Solve the following equation
-4(x + 5)-2 = 6x
Explain how you solved the equation above./
Answer:
Step-by-step explanation:
if an equation needs only one step to isolate the variable, it is 1-step. For example, 4x=16, which means x=4. Generally I’m not sure of a way other than that to know if an equation is one step or multi-step.
-4(x+5)-2=6x
So, use distributive property.
-4x-20-2=6x
Add 4x to both sides.
-20-2=10x
Solve -20-2.
-22=10x
Divide 10 from both sides.
x=-10/22
Simplify
x=-5/11
Greg has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Greg's Jumble has
6
66 classical songs,
7
77 rock songs, and
9
99 rap songs on it.
What is
P(not a rap song
)
P(not a rap song)start text, P, left parenthesis, n, o, t, space, a, space, r, a, p, space, s, o, n, g, end text, right parenthesis?
If necessary, round your answer to
2
22 decimal places.
The Jumble is an MP3 player owned by Greg. The Jumble chooses music for the user to hear at random. Greg's Jumble features nine rap tracks, seven rock songs, and six classical songs. The probability of not selecting a rap song is 0.59.
The total number of songs on the Jumble is 6 + 7 + 9 = 22.
To find the probability of not selecting a rap song, we need to find the number of songs that are not rap songs, which is the sum of the number of classical and rock songs on the Jumble:
6 + 7 = 13
Therefore, the probability of not selecting a rap song is:
13/22
To round this to two decimal places, we can divide 13 by 22 using a calculator or long division to get:
0.59
Therefore, the probability of not selecting a rap song is 0.59 or 59%.
The complete question is:-
Greg has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Greg's Jumble has 6 classical songs, 7 rock songs, and 9 rap songs on it. What is P(not a rap song) If necessary, round your answer to 2 decimal places.
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A caterer is making cookie trays for
upcoming holiday parties. This morning,
she made 2 small trays (x) and 3 large
trays (y), which contain a total of 64
cookies. In the afternoon, she made 6
small trays and 4 large trays, which
contain a total of 122 cookies. How
many cookies do the different sized
trays contain?
[tex]10.4[/tex] cookies were divided here between small tray as well as a large tray.
What do Internet cookies do?A cookie is indeed a piece of information from a webpage that is saved in a browser for subsequent retrieval by the website. Cookie are used to let a server know whether visitors have visited a specific website again.
What takes place if I refuse cookies?You will have the greatest user experiences . for example if you provide enough, whereas denying cookies may make it harder for you to use the website. Consider purchasing online. When you browse further, cookies allow the website to maintain track of all the products you've added to your cart.
[tex]2s + 3l = 64[/tex] (equation 1)
[tex]6s + 4l = 122[/tex] (equation 2)
From equation [tex]1[/tex], we can solve for [tex]s[/tex] in terms of [tex]l[/tex]:
[tex]2s + 3l = 64[/tex]
[tex]2s = 64 - 3l[/tex]
[tex]s = (64 - 3l)/2[/tex]
We can then substitute this expression for [tex]s[/tex] into equation [tex]2[/tex]:
[tex]6s + 4l = 122[/tex]
[tex]6((64 - 3l)/2) + 4l = 122[/tex]
Simplifying:
[tex]192 - 9l + 4l = 244[/tex]
[tex]-5l = -52[/tex]
[tex]l = 10.4[/tex]
Now that we know that a large tray contains [tex]10.4[/tex] cookies, we can substitute this value back into equation [tex]1[/tex] to solve for [tex]s[/tex]:
[tex]2s + 3l = 64[/tex]
[tex]2s + 3(10.4) = 64[/tex]
[tex]2s = 20.8[/tex]
[tex]s = 10.4[/tex]
Therefore, a small tray contains [tex]10.4[/tex] cookies, and a large tray contains [tex]10.4[/tex] cookies.
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- A gardener wants to enclose his rectangular garden with fencing. The garden
is 20 feet long and 8 feet wide. How many feet of fencing does the gardener
need?
Answer:
56 feet
Step-by-step explanation:
P = 2(1 + w)
P = 2(20 + 8)
P = 2(28)
2x28 = 56 feet
so the answer is 56 feet.
Answer:
P = 2l + 2w (2 times the length plus 2 times the width)
P = 2(40) + 2(20)
P = 80 + 40
P = 120 ft
You can also add the four sides together. (20 + 20 + 40 + 40
Step-by-step explanation:Since fencing the garden is the measure of perimeter of the garden and length and width of the rectangle are given, we find the perimeter of rectangle which is 2*width +2*length=2*20+2*40=40+80=120 feet of fence are needed.