Matthew has a jar of 368 nickels and imes he has been collecting. the total value of the coins is $28.40. which system of linear equations and solutions can be used to represent the number of nickels and dimes matthew has inhis collection

Answer:

Step-by-step explanation:

1. Finding  \(\overrightarrow{AB}\)  (or \(\overrightarrow{BA}\)):

\(\overrightarrow{AB}=\overrightarrow{OA}-\overrightarrow{OB}= \left[\big5\atop\big3\right]-\left[\big2\atop-\big5\right]= \left[\big5-\big2\atop\big3-(-\big5)\right]=\left[\big3\atop\big8\right]\)

2. Calculating length of  \(\overrightarrow{OA}\,,\ \overrightarrow{OB}\ \text{and}\ \overrightarrow{AB}\):

\(|\overrightarrow{OA}|=\sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}\approx5.831\\\\ |\overrightarrow{OB}|=\sqrt{2^2+(-5)^2}=\sqrt{4+25}=\sqrt{29}\approx5.385\\\\ |\overrightarrow{AB}|=\sqrt{3^2+8^2}=\sqrt{9+64}=\sqrt{73}\approx8.544\)

3. Calculating perimeter:

\(P=|\overrightarrow{OA}|+|\overrightarrow{OB}|+|\overrightarrow{AB}|=\sqrt{34}+\sqrt{29}+\sqrt{73}\approx5.831+5.385+8.544=19.76\)

Answer:

X = 1.09

Step-by-step explanation:

6 to the 1.09th power is 7.04993094301076 so when it is rounded it is 7.

Answer:

the answer is 7

Step-by-step explanation:

log10(6x)=log10(7)

x•log10(6)=log10(7)

x = log10(7)/log10(6)

this works because of

logb(x y) = y ∙ logb(x)

I figured this out from the internet!!

source:TigerAlegbra

Answer:

$30

Step-by-step explanation:

100+ the twenty you got off is 120 and dvide 120/4=30   I am either making this way to easy or just dont understand lol

Answer: <3, <6, <8

Step-by-step explanation:

Trust me

The missing justification proof in the proof that JP/PA = MB/BA is; Option C. Corresponding angles are congruent

Similar triangles are defined as triangles that possess the same shape, but then their sizes may differ. Thus, all equilateral triangles and squares of any side lengths are examples of similar objects

Now, when two lines are crossed by another line, the angles in matching corners are referred to as Corresponding Angles. Secondly, when the two lines being crossed are Parallel Lines, then we can say that the Corresponding Angles are equal.

In the figure we are given that PB || JM .

Now, we will write the reason for statement showing that ∠AJM is congruent to ∠APB.

These angles are on matching corners for the parallel lines PB and JM and as such they are corresponding angles.

Thus, we conclude that Option C is the right justification for the given statement.

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The graphs of the tangent, cotangent, secant, and cosecant function all have vertical asymptotes.

Vertical asymptotes are vertical lines that the graphs approach but never touch or cross. These asymptotes occur at points where the functions become undefined or have a vertical discontinuity.

For the tangent function (tan(x)), the vertical asymptotes occur at x-values where the cosine function (cos(x)) equals zero. Since cos(x) is zero at every multiple of π/2, the tangent function has vertical asymptotes at x = π/2, 3π/2, 5π/2, and so on.

Similarly, for the cotangent function (cot(x)), the vertical asymptotes occur at x-values where the sine function (sin(x)) equals zero. Since sin(x) is zero at every multiple of π, the cotangent function has vertical asymptotes at x = π, 2π, 3π, and so on.

The secant function (sec(x)) and cosecant function (csc(x)) are reciprocal functions of the cosine and sine functions, respectively. Therefore, their graphs also have vertical asymptotes at the same x-values where the cosine and sine functions equal zero.

In conclusion, the graphs of the tangent, cotangent, secant, and cosecant function all have vertical asymptotes.

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Leah would use 208 square centimeters of construction paper to wrap the box.

to calculate the amount of paper leah uses to wrap the box, we need to determine the surface area of the box.

first, let's calculate the surface area of the triangular base. since it's a right angle with sides labeled as 12 cm, 10 cm, and 10 cm, we can use the formula for the area of a right triangle:

area of triangular base = (1/2) * base * height

area of triangular base = (1/2) * 12 cm * 8 cm

area of triangular base = 48 square cm

next, let's calculate the surface area of the rectangular side. the length of the rectangular side is 20 cm, and its height is 8 cm, which are adjacent to the triangular base.

surface area of rectangular side = length * height

surface area of rectangular side = 20 cm * 8 cm

surface area of rectangular side = 160 square cm

now, let's calculate the total surface area of the box by summing the areas of the triangular base and the rectangular side:

total surface area = area of triangular base + surface area of rectangular side

total surface area = 48 square cm + 160 square cm

total surface area = 208 square cm

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Answer:

p(x) = -4*x^4  - 2*x^3 + 3*x^2 + 1*x - 2

Step-by-step explanation:

We want to find a polynomial p(x), such that if we add that polynomial to:

f(x) = 4*x^4 + 2*x^3 - 2*x^2 + x - 1

we get:

g(x) = x^2 + 2*x - 3

This is:

f(x) + p(x) = g(x)

Notice that f(x) is a polynomial of degree 4 and g(x) is a polinomial of degree 2, so p(x) must be also a polynomial of degree 4.

p(x) = a*x^4 + b*x^3 + c*x^2 + d*x + e

Then we get:

(4*x^4 + 2*x^3 - 2*x^2 + x - 1) + (a*x^4 + b*x^3 + c*x^2 + d*x + e) = x^2 + 2*x - 3

We can simplify the left side to:

(4 + a)*x^4 + (2 + b)*x^3 + (-2 + c)*x^2 + (1 + d)*x + (-1 + e) =  x^2 + 2*x - 3

Because in the right side we do not have terms with exponent 4 and 3, we must have that:

4 + a = 0

2 + b = 0

and for the other exponents of x we just match the exponent in the left side with the correspondent one in the right side:

(-2 + c) = 1

(1 + d) = 2

(-1 + e) = -3

Solving the 5 equations we get:

a = -4

b = -2

c = 1 + 2 = 3

d = 2 - 1 = 1

e = -3 + 1 = -2

Then the equation for p(x) is:

p(x) = -4*x^4  - 2*x^3 + 3*x^2 + 1*x - 2

The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.

The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:

Standard Error = Standard Deviation / sqrt(sample size)

Let's determine the likelihoods for sample sizes of n = 100 and n = 400:

For n = 100:

Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6

We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 1.6

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 1.6

Upper Bound z-score = 4 / 1.6

Upper Bound z-score = 2.5

We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.

For n = 400:

Standard Error = 16/√400

Standard Error = 16/20

Standard Error = 0.8

We determine the z-scores by following the same procedure as above:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 0.8

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 0.8

Upper Bound z-score = 4 / 0.8

Upper Bound z-score = 5

Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.

A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.

As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.

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Answer:

y = 12 when x = 6

Step-by-step explanation:

The equation for inverse proportion is

xy = k where k is a constant

Let x = 9 and y = 8

9*8 = k

72 = k

The equation is xy = 72

Let x=6

6*y = 72

Divide each side by 6

6y/6 = 72/6

y =12

Laughter Landscaping has collected the following data for the December 31 adjusting​ entries is given below:

Here, we have,

Date Details                                                     Dr. $                     Cr.$

a Wages account Dr. (8000/5 x2)                     3200  

      Accrued wages account Cr.                                             3200

(Being the wages accrued for 2 days)    

b Prepaid insurance A/c Dr. (8000/2)              4000  

      Insurance A/c Cr                                                             4000

(Being the insurance prepaid for 1 year)    

c Supplies Expense A/c Dr.                                8400  

      Supplies A/c Cr. (4600+5600-1500)                             8400

(Being the office supplies used for the year)    

d   Unearned revenue A/c Dr. (6500x 40/100)         2600  

      Revenue A/c Cr.                                                            2600

(Being the Revenue earned has beed adjusted)    

e Accrued revenue A/c Dr.                                  3000  

       Revenue A/c Cr.                                                            3000

(Being the Accrued revenue has been recorded)    

f Income statement (Profit & Loss A/c) Dr.           3000  

 Provision for Depreciation on Equipment  A/c Cr.                     3000

(Being the Equipment depreciated)    

 Income statement (Profit & Loss A/c) Dr.            2200  

 Provision for Depreciation on Truck  A/c Cr.                             2200

(Being the Truck depreciated)    

g Interest A/c Dr. (550-250)                                      300  

       Accrued Interest A/c Cr.                                                       300

 (Being the amount of interest accrued)    

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Answer:

28

Step-by-step explanation:

54-26=28.

Answer:

24

Step-by-step explanation:

range=highest value -lowest value

Therefore, 54-29=24

Answer:

\(\pmb{3x^4-3x^3-3x^2+2x+2 }\)

we have to subtract 5×⁴-4׳+3ײ-2×from 8×⁴-7׳+2

\(8x^4-7x^3+2-(5x^4-4x^3+3x^2-2x)\\\\8x^4-7x^3+2-5x^4+4x^3-3x^2+2x\\\\3x^4-3x^3-3x^2+2x+2\)

To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.

Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0

Earliest finish time = 1

Activity B: Earliest start time = 2

Earliest finish time = 5

Activity C: Earliest start time = 5

Earliest finish time = 11

Activity D: Earliest start time = 11

Earliest finish time = 17

Activity E: Earliest start time = 5

Earliest finish time = 8 Activity F:

Earliest start time = 8

Earliest finish time = 17

Now we can calculate the latest start and latest finish times for each activity using the backward pass.

Latest finish time = 5

Latest start time = 2

Activity A: Latest finish time = 1

Latest start time = 0

Now we can calculate the slack time for each activity as follows:Activity A:

Slack time = 0

Activity B: Slack time = 0

Activity C: Slack time = 0

Activity D: Slack time = 0

Activity E: Slack time = 3

Activity F: Slack time = 0

The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.

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Answer:a) 20+0.8c B) 0.8x109 C)120/0.8

Step-by-step explanation:

Plz brainliest I am almost an expert

Answer:

More; less

Step-by-step explanation:

Applying force to be lifted up to a platform requires more force to get it there. I believe the crate would have a reduced distance. I hope this helps.

Yes one and six tenths is to four as two and four tenths is to six

In some contexts, "is to" can mean division. For example, if you say "5 is to 10 as x is to 20," you could interpret that as a proportion, where the ratio of 5 to 10 is equal to the ratio of x to 20. This can be rewritten as:

5/10 = x/20

Now

To solve this problem, we can use proportions.

One and six tenths is equivalent to 1.6, and two and four tenths is equivalent to 2.4.

Let x be the number that corresponds to "is to" in the second part of the statement. Then, we can set up the following proportion:

1.6/4 = 2.4/x

We can cross-multiply to get:

1.6x = 9.6

And then solve for x:

x = 6

So in this case, "is to" did involve division. However, "is to" doesn't always mean division and its meaning can depend on the context in which it is used.

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Answer:

The answer is actually 12 and 13.  

Step-by-step explanation:

You have to plug the number in to see what is greater than or equal to 130.  12 is equal to 160, so 12 works.  13.00 is equal to 130.  14 is equal to 112 and 15 is 90. 

The possible buffet prices could noah could charge and still maintain the restaurant owner’s revenue requirements is actually 12 and 13.

We have given that the table,  

Pricing is the process whereby a business sets the price at which it will sell its products and services, and may be part of the business's marketing plan.

You have to plug the number in to see what is greater than or equal to 130.  12 is equal to 160, so 12 works.  13.00 is equal to 130.  14 is equal to 112 and 15 is 90.

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Answer:

y ≤ -1/3x + 1

Step-by-step explanation:

find the slope and y-intercept and write equation in form of

y = mx + b;  m = slope and b = y-intercept

if you start at (0,1) and move down and to the right to (3,0) you get a slope equal to -1/3

we can see by looking at the graph that the y-intercept is 1

therefore, y ≤ -1/3x + 1

Answer:

You subtract

Step-by-step explanation:

Given

Borrowing Word Problem

Required

Do you add or subtract?

Take the following illustration as a point of reference:

You have 5 pens. Your friend borrowed 2 pens. How many pens do you have left?

From above:

Initially, you have 5

you lend your friend 2

Then, you have: (5 - 2) left

i.e. 3 pens left

In conclusion, you have to subtract

(a) Given that G = {1, a, b, c} be the Klein 4-group. Label 1, a, b, c with the integers 1, 2, 3, 4, respectively and we are to prove that under the left regular representation of G into S_4 the non-identity elements are mapped as follows: a → (12)(34), b → (13)(24), c → (14)(23). Proof: Let ρ be the left regular representation of G into S_4. We know that there is a one-to-one correspondence between G and the permutation group on G induced by ρ.Thus, we have that (1)ρ = e, (a)ρ = (1234), (b)ρ = (1324), (c)ρ = (1423). Therefore, the non-identity elements are mapped as follows: (a) → (12)(34), b → (13)(24), c → (14)(23).b)In this case, we are supposed to relabel 1, a, b, c as 1, 3, 4, 2, respectively and compute the image of each element of G under the left regular representation of G into S_4. We are also supposed to show that the image of G in S_4 is the same subgroup as the image of G found in part a, even though the nonidentity elements individually map to different permutations under the two different labellings. Proof: Let G' = {1, 3, 4, 2} be the group with the given relabeling. Then, G' is isomorphic to G via the isomorphism ϕ such that ϕ(1) = 1, ϕ(a) = 3, ϕ(b) = 4, and ϕ(c) = 2.The left regular representation of G' into S_4 is defined by the permutation group induced by the isomorphism ρ ◦ ϕ. Let f = ρ ◦ ϕ. Then, f satisfies:f(1) = (1)f(a) = (13 24)f(b) = (14 23)f(c) = (12 34)Therefore, the non-identity elements in G are mapped to the same permutations in S_4 under the relabeling (1, a, b, c) and (1, 3, 4, 2). Hence, the image of G in S_4 is the same subgroup in both cases.

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The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

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The answer when simplified gives the expression as 11.

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here the expression as -2+1²×2+5×12/3 -9=0+4×5-11

                                                                                = 11

Hence, The answer when simplified gives the expression as 11.

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Answer: m=20

Step-by-step explanation:

Answer: V≈339.29 in

Step-by-step explanation:

Counting from right to left, find the 68th digit of n is 10.

An integer, is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.

The largest integer with exactly 100 digits is the integer that consists of 100 copies of the digit 9.

This integer is equal to 10100 = 10

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Answer:

y=-16

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

1/4 = 25/100

and that fraction as a decimal is .25, which is equal to 25%

The fraction number 1/4 in the form of a percentage will be 25%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The fraction number is 1/4. Then, convert the fraction number into a percentage, then we have

P = (1/4) x 100

P = 0.25 x 100

P = 25%

The fraction number 1/4 in the form of a percentage will be 25%.

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