If a leinear system has more unknowns equations then it must hav einfinitely many solutions.
a. true
b. false

Answers

Answer 1

If a linear system has more unknown equations then it must have infinitely many solutions, which is true.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If there is only one equation with more than one parameter, then the number of the solution will be infinite.

If a linear system has more unknown equations then it must have infinitely many solutions, which is true.

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Related Questions

The formula for the area of a circle is shown, where d
is the diameter. A=πd2(exponent is the2) over 4


What is the equation for the diameter d
of a circle in terms of the area A? a: d=4πA. b: d=A4π−−√ c: d=2Aπ−−√. d: d=4π−−√A2

Answers

Answer:

Step-by-step explanation:

(7.26x10^6)-(1.3x10^4) in scientific notation

Answers

Answer: 7.247 x 10^6

Step-by-step explanation:

(7.26x10^6)-(1.3x10^4)

⇒ 7.247 x 10^6

Scientific notation of given expression = 7.247× 10⁶

What is scientific notation?

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

For example,

650,000,000 can be written in scientific notation as 6.5 ✕ 10⁸.

Given expression

(7.26x10⁶)-(1.3x10⁴)

It can be written as

= (7.26×1000000) - (1.3 × 10000)

= 7260000 - 13000
= 7247000

= 7.247× 10⁶

Hence,  7.247× 10⁶ is the scientific notation of given expression.

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4.05 repeating as a mixed number

Answers

4.05 with (05) repeating if converted to a fraction or mixed number will be

[tex]4\frac{5}{99}[/tex].

As per the question statement, we are provided with a repeating decimal, 4.05 with (05) repeating.

We are required to convert the repeating decimal into a mixed number.

To solve this question, we need to know the formula to convert any repeating decimal number to a fraction which goes as:

[tex]\frac{[(DN*F)-NRF]}{D}[/tex]

Where, DN denoted the concerned Decimal Number,

(F = 10) if one repeating is number, 100 if two repeating numbers, 1000 if three repeating numbers and so on.

NRP denotes the Non-repeating part of decimal number.

And, D = 9 if one repeating number, 99 if two repeating numbers, 999 if three repeating numbers, and so on, similar to F.

Then, using our given data in the above formula, we get

4.05 with (05) repeating = [tex]\frac{(4.05*100)-4}{99}=\frac{(405-4)}{99}=\frac{401}{99}=4\frac{5}{99}[/tex].

Repeating Decimal: A repeating decimal, also called as Recurring Decimal, is a decimal number that consists of digits repeating after a fixed interval after the decimal point.

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The shaded region displayed in the graph does not include the dashed line. Which of the following best represents all the shaded points?

Answers

It would be k because anytime a line is dotted it uses the symbol < or >

A 7 cm string that is fastened at both sides is plucked. what is the wavelength of the n = 4 standing wave?

Answers

The wavelength of the n = 4 standing wave is 3.5cm.

Standing Waves:

A standing wave is a stationary wave, which means that the wave oscillates in time but the peak amplitude does not move in space. This can happen in a stationary medium from an interference due to two waves traveling in opposite directions. For a harmonic wave, the string's displacement in the y-direction from the x-position and time t can be calculated by using the expression

y(x ,t)=2Asin(2πxλ)cos(ωt)

where A is the maximum displacement in the y-direction, λ

is the wavelength, and ω is the angular frequency. Given a taut string of length L, and assuming the the driving force is at x=0, the boundary conditions are

y(0,t)=0y(L, t)=2Asin(2πLλ)cos(ωt)=0

Given the latter boundary condition, a standing wave occurs when sin(2πLλ)=0=sin(nπ). The condition for the standing wave is then of the form n=2Lλ.

The condition where the standing wave occurs is given by the expression n=4Lλ, where n is a positive integer value, L is the string length, and λ is the wavelength. We calculate the wavelength of an n=4 standing wave as follows:

λ=4Ln=4(7 cm) / 2

= 14 /2

= 3.5cm.

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What strategy would be the best to solve this problem?

Ann-Marie bought apples. She kept one-third for herself and gave the rest to 4 friends. Each friend got 2 apples. How many apples did Ann-Marie buy?

What strategy would be the best to solve this problem?

A. guess, check and revise
B. work backwards
C. use a formula
D. look for patterns

Answers

Answer:

look for patterns also, Ann purchased 12 apples

Step-by-step explanation:

x apples

1/3 of x, (x - x/3) = (3x - x) /3 = 2x/3

Number of people who shared (2x/3) = 4 with each getting 2Total number shared = 4 * 2 = 8Fraction shared = total shared2x/3 = 8Multiply both sides by 3(2x/3) * 3 = 8 * 32x = 24x = 12

D Is go to be your correct answer

A quadratic function is shown on the graph.

an upward opening parabola beginning with closed circle at negative 2 comma 4, which decreases to a vertex at 0 comma 0 and then increases to an open circle at 3 comma 9

What is the range of the function?

{x | −2 ≤ x < 3}
{x | −2 < x ≤ 3}
{y | 0 ≤ y < 9}
{y | 0 < y ≤ 9}

Answers

Answer:

{y | 0 ≤ y < 9}

Step-by-step explanation:

The range is all the y-values; all the y's on the graph, or if you had an equation, all the y's that could be produced by that equation.

Right away, you know if the question is RANGE, the sets showing x are NOT the answer.

On the graph shown the lowest point is at (0,0) and it IS actually on the graph, so we use a >= symbol that has the "or equal to" bar under the > symbol.

The biggest y-value on the graph is the 9, but it's an open point, so exactly9 is technically NOT on the graph. So we use a < symbol without the bar underneath.

He bought a pair of boots that cost 10 and spent the rest on hats that cost 8 each

Answers

Answer:

Oh! WoW

Very nice questions .

Step-by-step explanation:

Please provide full question

Your grade on 3 tests were 82,76 and 90. You skipped the fourth test and earned a 0. What must you earn on the fifth test to get a test average of at least 70?

Write and solve and inequality!!
Define variables!!

Answer ASAP!!!

Answers

Answer:

102

Step-by-step explanation:

x = 5th test

(82 + 76 + 90 + 0 + x) /5 = 70

248 + x = 70*5

x = 350 - 248

x = 102

Absolute value equations : solve for all values of y in the simplest form.
21=|7y|

Answers

All values of y in the simplest form are 3 and -3

How to solve for all values of y in the simplest form?

The equation is given as

21 = |7y|

The above equation is an absolute value equation

When the above equation is expanded, we have the following equations

So, we have

-21 = 7y and 21 = 7y

Divide both sides of the equations by 7

So, we have

-3 = y and 3 = y

Rewrite as

So, we have

y = -3 and y = 3

Hence, all values of y in the simplest form are 3 and -3

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(5x − 32)°
(3x - 4)º
Help meee

Answers

Answer:

x = 27

Step-by-step explanation:

(5x - 32) + (3x - 4) = 180

8x - 36 = 180

x = 216

x = 27

m<NQR = 5x - 32 = 5*27 - 32 = 103

m<QRP = 3x - 4 = 3*27 - 4 = 77

Sheila put $350 in a savings account for 1 year. The annual interest rate was 3% per year.
a) How much simple interest did the money earn her in 1 year?
b) How much money was in the account after 1 year?

Please answer fast and show how u got the answer step by step thank u

Answers

The simple interest was $10.5 and the amount after 1 year would be $360.5 in her account.

What is the simple interest?

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

We have been given data as

Principal amount (P) = $350

Time (T) = 1 year

The rate of interest (R) = 3%

Simple interest= P × R × T

Simple interest = 350 × 3/100 × 1

Simple interest = $10.5

So the amount after 1 year would be P + S.I. = 350 + 10.5 = $360.5

Therefore, the simple interest would be $10.5 and the amount after 1 year would be $360.5.

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The recommended mass m of a baseball is 145 grams. The actual mass is allowed to vary by up to 2 grams. What are the minimum and maximum allowed baseball masses?

Answers

The minimum and maximum allowed baseball masses are 143 grams and 147 grams

What are the minimum and maximum allowed baseball masses?

The given parameters are

Mass = 145 grams

Vary = 2 grams

This means that the allowed baseball masses are

Allowed baseball masses = Mass  ± Vary

This gives

Allowed baseball masses = (145 - 2, 145 + 2) grams

Evaluate

Allowed baseball masses = 143 grams, 147 grams

Hence, the minimum and maximum allowed baseball masses are 143 grams and 147 grams

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Find each product.

29. (r-1)(7r+2)
31. x²(3x-2)(5x+1)
37. (m-n+k)(m+2n-3k)
43. (2m+3)(2m-3)
45. (4x²-5y)(4x²+5y)

Answers

Answer:

29. 7r^2-5r-2

31. 15x^4-7x^3-2x^2

37. -3k^2-2km+5kn+m^2+mn-2n^2

43. 4m^2-9

5. 16x^4 - 25y^2

Step-by-step explanation:

To solve these you expand the polynomial and use the FOIL method.

What are the coordinates of the vertex for the graph of g(x) = |x+6|

Answers

The vertex of the equation g(x) = I x ₊ 6 I is (₋6 , 0).

Given the equation is g(x) =  I x ₊ 6 I

The equation of the absolute value function  is:

y = I x ₋ h I ₊ k where (h , k) is the vertex.

When the input is 0, the vertical axis will be intersected by the graph of an absolute value function. The horizontal axis is not usually where they cross. Depending on how the graph has been moved and reflected, it may or may not cross the horizontal axis.

compare the given equation to the above form.

y = I x ₊ 6 I ₊ 0

y = I x ₋ (₋6) I ₊ 0

hence we (h,k) as (₋6 , 0)

Therefore the coordinates of the vertex are (₋6 , 0)

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Police stop every fifth car at a sobriety checkpoint.

Answers

Answer:

20%

Step-by-step explanation:

Every fifth car would be 1/5 or 20%

Land's bend sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. Random samples of sales receipts were studied for mail-order sales and internet sales, with the total purchase being recorded for each sale. A random sample of 8 sales receipts for mail-order sales results in a mean sale amount of $61.80 with a standard deviation of $17.75. A random sample of 13 sales receipts for internet sales results in a mean sale amount of $77.40 with a standard deviation of $29.75. Using this data, find the 90% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed.
A. Find the critical value that should be used in constructing the confidence interval. B. Find the standard error of the sampling distribution to be used in constructing the confidence interval.
C. Construct the 80% confidence interval.

Answers

The assumption that the population variances are not equal and that the two populations are normally distributed is −35.713332; 0.313332.

What is a random sample?A simple random sample (or SRS) in statistics is a subset of individuals (a sample) chosen at random from a larger set (a population) with the same probability. It is the process of selecting a sample at random.

To assume that the population variances are not equal and that the two populations are normally distributed:

Given:

n1 = 11 sample sizex1 = 79 for the sample means1 = 18.25 standard deviationn2 = 18 sample sizex2 = 96.70 for the sample means2 = 20.25 standard deviation

So, df = n1 + n2 - 2; 11 + 18 - 2 = 27.

T critical = T0.01, 27 = 2.473

Let,

S = sqrt[(s1²/n1) + (s2²/n2)]S = sqrt[(18.25^2 / 11) + (20.25^2 / 18)]S = 7.284

Then,

(μ1 - μ2) = (x1 - x2) ± T critical × S(μ1 - μ2) = (79 - 96.70) ± 2.473*7.284(μ1 - μ2) = - 17.7 ± 18.013332

Now,

-17.7 - 18.013332 ; - 17.7 + 18.013332−35.713332 ; 0.313332

Therefore, the assumption that the population variances are not equal and that the two populations are normally distributed is −35.713332; 0.313332.

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HELP ME PLEASEEEE!!!!

Answers

Answer:ACF

Step-by-step explanation:

what is equivalent 3x−4y=6?

Answers

Answer:

y=(3/4)x - (3/2)

Step-by-step explanation:

3x−4y=6

isolate the y variable

-4y=-3x+6

divide by -4

y=(3/4)x - (3/2)

it is equivalent because it is the same equation just in a different form

Which fractions are equivalent to 0.4? Select all that apply.

Answers

Answer:

Step-by-step explanation:

2/5 or 4/10 or 8/20 or 16/40  

A washer and a dryer cost $995 combined. The washer cost $45 more than the dryer. What is the cost of the dryer?​

Answers

When a washer and a dryer cost $995 combined. If  the washer cost $45 more than the dryer, then the cost of the dryer is $475

The combined cost of a washer and a dryer = $995

Consider the cost of a dryer as x

The washer cost $45 more than the dryer.

The cost of the washer = x+45

Then the equation will be

x+x+45 = 995

2x+45 = 995

2x = 950

x = 950/2

x = 475

The cost of the dryer is $475

Hence, when a washer and a dryer cost $995 combined. If  the washer cost $45 more than the dryer, then the cost of the dryer is $475

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Express 15 km as a percentage of 120 km

Answers

The expression of 15km as a percentage of 120km as required in the task content is; 12.5%

What percentage representation is 15km of 120km as required in the task content?

Since it follows from convention that a percentage is a representation of an entity as a fraction of a hundred partitions.

On this note, the percentage representation is such that;

15km of 120km is;

(15/120) × 100%

0.125 × 100%

= 12.5%.

Ultimately, 15km is 12.5% of 120km.

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By paying $1500 cash and the balance is equal monthly payments, how many months would it take to pay for a car costing $12,495?

Answers

The monthly installments need to be paid is $10995.

To determine the number of months needed to pay off the remaining balance. We need to know the monthly installment.

What is installments?

When you get an installment loan, you get the money you borrowed or the item you bought right away.

You pay it off in installments, which are regularly scheduled payments that may include interest. For a set number of months, or years, you generally owe the same amount on every installment. When the loan is fully repaid, the account is permanently closed.

Now, as per the question;

Amount paid in cash = $1500

Remaining balance which is to be paid as monthly installments

= $12495 - $1500

=$12495 − $1500

=$10995

Thus, the monthly installments are $10995.

Now, to determine the number of months needed to pay off the remaining balance. The monthly installment is need to be known.

As a result, information on monthly installments is lacking.

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The complete question is-

What necessary piece of information is missing that prevents solving the problem? By paying $1500 cash and the balance in equal monthly payments, how many months would it take to pay for a car costing$12,495?

An artist plans to sell $300 of prints online each week. This month, she is within $22 of her goal.

Part A: Define a variable and write an absolute value equation to represent the scenario.

Part B: Solve the equation, showing all steps.

Part C: What are the minimum and maximum amounts that the artist received for her products?

Answers

Answer:

A)  |x - 1200| = 22

B)  x = 1222,  x = 1178

C)  Minimum = $1,178

    Maximum = $1,222

Step-by-step explanation:

Part A

Define the variable:

Let x = revenue from prints sold this month.

Given information:

The artist plans to sell $300 of prints each week.This month, she is within $22 of her goal.

If the artist plans to sell $300 of prints each week, then she plans to sell approx $1200 of prints each month, since there are approximately 4 weeks in each month.

If she is within $22 of her goal, this month then:

⇒ |x - 1200| = 22

Part B

To solve an equation containing an absolute value, set the contents of the absolute value equal to both the positive and negative value of the number on the other side of the equation, then solve both equations:

Equation 1

⇒ x - 1200 = 22

⇒ x - 1200 + 1200 = 22 + 1200

⇒ x = 1222

Equation 2

⇒ x - 1200 = -22

⇒ x - 1200 + 1200 = -22 + 1200

⇒ x = 1178

Part C

Therefore:

Minimum amount the artist received = $1,178Maximum amount the artist received = $1,222

I GIVE BRAINLIEST FOR ALL QUESTIONS

The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?
yes
no

Answers

Answer: No.

Step-by-step explanation: The sides are all different. Therefore, it cannot be a right angle.

(i think)

Answer:

Yes.

Step-by-step explanation:

By converse of Pythagoras' Theorem,

[tex]5 {}^{2} = 4 {}^{2} + 3 {}^{2} [/tex]

25 = 16 + 9

Therefore, the triangle is a right-angled triangle.

Hope this helped! ^^

PLEASE HELP ASAPPP !!! WILL GIVE BRAINLIEST AND 5 STAR RATING

Answers

The answer is 1/3.
You subtract 1/3 from 2/3.

Lisa is making activity baskets to donate to charity. She has 12 coloring books, 28
markers, and 36 crayons. What is the greatest number of baskets she can make if each
type of toy is equally distributed among the baskets? How many of each supply will go
into the baskets? GCF *

Answers

12 because that’s the lowest number so 12 of the colouring books 12 of the markers and 12 of the crayons

Can an inverse and
contrapositive both have false truth values?

Answers

Answer:

thyjdbbdhehwjwnwjehe

The difference in the percent of women who became pregnant in the two groups is statistically significant. Explain what this means to someone who knows little statistics.

Answers

Three principles of experimental design: Control, Random, Enough.

What is the principle of an experiment?

The guiding principles of experimental designs are randomization, replication, and local control. These recommendations offer a valid test of significance.

What are the three experimental design principles, and can you briefly describe how each one reduces experimental error?

The three essential principles of randomization, replication, and local control are applied to avoid systematic error and to control random error. Allocating the treatments or factors to be tested to the experimental units based on predetermined rules or probabilities is the process of randomization.

How many experimental design principles are there?

Following are three fundamental principles of experimental design: Randomization: Applying various treatments to experimental units at random.Replication: Repeatedly employing the basic plan on several experimental units.

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Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer: y =
X
y
0
-8
1
2
3 4
28
1 10 19
Submit Answer

Answers

Answer:

xxx 20

Step-by-step explanation:

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