14x + 7 y=-7
y=-2x-1​

Answer:

Jenns account has the greater simple interest rate.

Step-by-step explanation:

The formula for simple interest is:

A = P * ( 1 + r * t )

Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.

For Lindsey:

253 = 250 * ( 1 + r * t )

Solve for r

r = ( 253/250 ) - 1 = 0.012

Lindsey simple interest was 1.2% annually

For Jenn:

257.50 = 250 * ( 1 + r * 2 )

r = ( 257.50/250 ) - 1 )/2 = 0.015

Jenn simple interest was 1.5% annually  

Therefore Jenns account has the highest simple interest rate.

Answer:

Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.

Step-by-step explanation:

Sample response :)

Step-by-step explanation:

0.00046 kiloseconds =46CS

4096 MB=4.000002 GB

Answer:

75,000km  (kilometres)  converted from given 0.075 giga meters  gm

gm to km multiplies by 1 million

46 cs (centisecond) converted from given  0.00046 kilo second ks

ks x cs multiplies by 100,000

4.096 GB (Gigabyte)  converted from given 4096 Mega Byte MB

MB to GB divides by 1000

KB to GB divides by 1000

GB to MB multiplies by 1000

MB to KB multiplies by 1000  so that GB, MB, KB are all 1000 x each other.

0.0000002 mg (milligram) converted from 0.0002 Microgram ug

ug  microgram to mg milligram divides by 1000

Explanation of cs : seconds. siemens.

Language useful fact to know is the German name of kiloseconds and centiseconds is kilosiemens and centisiemens.

Which means Siemens means seconds.

The siemens (symbol: S) is the derived unit of electric conductance, electric susceptance, and electric admittance in the International System of Units (SI). Conductance, susceptance, and admittance are the reciprocals of resistance, reactance, and impedance respectively; hence one siemens is redundantly equal to the reciprocal of one ohm (Ω−1) and is also referred to as the mho. The 14th General Conference on Weights and Measures approved the addition of the siemens as a derived unit in 1971.[1]

The unit is named after Ernst Werner von Siemens. In English, the same word siemens is used both for the singular and plural

The unit siemens for the conductance G is defined by

{\displaystyle \mathrm {[S]} =[\Omega ^{-1}]=[\mathrm {A} /\mathrm {V} ]}{\displaystyle \mathrm {[S]} =[\Omega ^{-1}]=[\mathrm {A} /\mathrm {V} ]}

where Ω is the ohm, A is the ampere, and V is the volt.

For a device with a conductance of one siemens, the electric current through the device will increase by one ampere for every increase of one volt of electric potential difference across the device.

The conductance of a resistor with a resistance of five ohms, for example, is (5 Ω)−1, which is equal to 200 mS.

Another name for the siemens is the mho (/ˈmoʊ/). As the reciprocal of one ohm, it is the word ohm spelled backwards, at the suggestion of Sir William Thomson (Lord Kelvin) in 1883.[3] Its symbol is an inverted capital Greek letter omega: U+2127 ℧ INVERTED OHM SIGN.

NIST's Guide for the Use of the International System of Units (SI) refers to the mho as an "unaccepted special name for an SI unit", and indicates that it should be strictly avoided.[4]

The SI term siemens is used universally in science and often in electrical applications, while mho is still used in some electronic contexts.

The inverted capital omega symbol (℧), while not an official SI abbreviation, is less likely to be confused with a variable than the letter 'S' when writing on a blackboard or doing algebraic calculations by hand. The usual typographical distinctions (such as italic for variables and roman for units) are difficult to maintain. Likewise, it is difficult to distinguish the symbol 'S' (siemens) from the lower-case 's' (seconds), potentially causing confusion.[5] So, for example, a pentode’s transconductance of 2.2 mS might alternatively be written as 2.2 m℧ or 2200 μ℧ (most common in the 1930s) or 2.2 mA/V.

A handwritten 'S' can also be misread as the frequency-space variable 's', commonly used in transfer functions.

The ohm had officially replaced the old "siemens unit", a unit of resistance, at an international conference in 1881.[6]

Answer:

m<DCA=45°

Step-by-step explanation:

m<DCA=m<ACB-m<DCB

m<DCA=180°-135°

m<DCA=45°

The solution to the differential equation will be expressed as \(y_c=Ce^{2x}\)

Given the differential equation;

\(\frac{d^2y}{dx^2}+2y \frac{dy}{dx} =0\)

Since the right-hand side of the homogenous equation is zero, the differential equation is a homogenous equation

Let \(D=\frac{dy}{dx}\)

The differential equation becomes;

\(D^2y-2Dy=0\\(D^2-2D)y=0\)

Factorizing the auxiliary equation m² - 2m = 0

m² = 2m

m = 2

Since the auxiliary solution is real and distinct, the solution to the differential equation will be expressed as  \(y_c=C_1e^{m_1x} + C_1e^{m_2x} \\\)

Given that m =2, the solution will be expressed as \(y_c=Ce^{2x}\)

b) Most linear differential equations have a constant coefficient because they are mostly solved using the quadratic method which is also called the method of quadrature. This means that the solution maybe expressed in integral form.

Learn more here: https://brainly.com/question/13512633

Step-by-step explanation:

First 7.50 - 3/8 = 7.125

Next 7.125 times 8

Is 57

The set (A U B) n (A U C) is {2, 5, 7, 10}. A.

To find the set (A U B) n (A U C), we first need to calculate the union of sets A and B, and then calculate the union of that result with set C. Finally, we find the intersection of these two sets.

Set A U B:

The union of sets A and B, denoted as A U B, is the combination of all elements from both sets without any repetitions.

A contains the elements 2, 5, 7, and 10, while B contains the elements 1, 2, and 3.

A U B consists of the elements {1, 2, 3, 5, 7, 10}.

Set (A U B) U C:

Next, we calculate the union of the set (A U B) with set C, denoted as (A U B) U C. A U B contains the elements {1, 2, 3, 5, 7, 10} and C contains the elements {1, 2, 3, 4, 5}.

Taking the union of these two sets results in {1, 2, 3, 4, 5, 7, 10}.

Finding the intersection:

Finally, we find the intersection of (A U B) U C with A U C. A U C consists of the elements {2, 5, 7, 10}.

The intersection of these two sets is the combination of common elements.

The common elements are {2, 5, 7, 10}.

For similar questions on set

https://brainly.com/question/13458417

#SPJ8

Answer:

no because the 2 in the x-value repeat

Step-by-step explanation:

Answer:

no.

each input (x) can only have one output (y) for it to be a function

2,5 and 2,2 could not be in the same table if it were a function.

(could you give me brainliest please? I'm one away from leveling up)

There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.

Let's solve the problem step by step:

Identify the given information:

The ratio of red pens to blue pens is 4 to 5.

There are a total of 342 pens in the drawer.

Set up the ratio equation:

Let's assume the number of red pens is 4x, and the number of blue pens is 5x.

Here, 'x' is a scaling factor that allows us to find the actual number of pens.

We can write the equation as: 4x + 5x = 342.

Simplify and solve the equation:

Combining like terms, we have 9x = 342.

Divide both sides of the equation by 9 to solve for 'x':

x = 342 / 9 = 38.

Calculate the number of red pens and blue pens:

Now that we have the value of 'x', we can find the number of red and blue pens:

Number of red pens: 4x = 4 × 38 = 152.

Number of blue pens: 5x = 5 × 38 = 190.

For similar questions on pens

https://brainly.com/question/16820350

#SPJ8

Answer:

The answer is A.

Step-by-step explanation:

For this graph, you are using the linear equation formula: y = mx + b

Answer:

15 weeks

Step-by-step explanation:

For Barbie, keep subtracting 80 from 1,500 until you get to the lowest amount.

And for Ken, keep subtracting 20 from 600.

Once you are done, you will notice that both Barbie and Ken have $300 at 15 weeks. So your answer is 15.

--

the probability of getting one head and one tail on the toss of two coins is 0.5percent chance

The measure of the angle NSR is equal to 113 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

Using the angle of intersecting chords theorem, we have following equation

NSR = 1/2(Sum of major and minor arcs NS)

So, we have

NSR = 1/2 * (176 + 50)

Evaluate

NSR = 113

Hence, the angle is 113 degrees

Read mroe abiout chords at

https://brainly.com/question/13950364

#SPJ1

25°C to  45°C

Step-by-step explanation:

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

learn more about domain of a function: https://brainly.com/question/1369616

#SPJ9

Answer:

y=-5x+19

Step-by-step explanation:

yeah -ya...... right?

Answer:

\( {x}^{2} - 9x - 10 = 0 \\ {x}^{2} - 10x + x - 10 = 0 \\ ( {x}^{2} - 10x) + (x - 10) = 0\\ x(x - 10) + 1(x - 10) = 0 \\ (x - 10)(x + 1) = 0 \\ x - 10 + x + 1 = 0 \\ collecting \: like \: terms \: \\ x + x - 10 + 1 = 0 \\ 2x - 9 = 0 \\ 2x = 0 + 9 \\ 2x = 9 \\ x = \frac{9}{2} \\ x = 4.5\)

Answer:

S

Step-by-step explanation:

SD

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

For more questions on arc length

https://brainly.com/question/31341388

#SPJ8

The Total length of two sides based on the information will be 7x²+2x+1

The Length of the third side will be 4 x³-10x²-7.

Total length of two sides= Side 1 + Side 2

= 8x² − 5x − 2+ 7x − x²+ 3

= 8x²-x²-5x+7x-2+3

= 7x²+2x+1

Length of the third side = Perimeter - Total length of two sides

Length of the third side=4x³ − 3x² + 2x − 6-(7x²+2x+1)

= 4x³ − 3x² + 2x − 6-7x²-2x-1

= 4 x³-10x²-7

Learn more about triangles on:

https://brainly.com/question/17335144

#SPJ1

For the given equation:

m = 3b

The constant of proportionality is 3, so the correct option is A.

After a small search on the internet, I've found that this question asks for the constant of proportionality.

Remember that a proportional relation is of the form:

y = k*x

Where k is the constant of proportionality, and x and y are the variables.

Here the relation is:

m = 3*b

Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.

In this way, we can see that the correct option is A.

Learn more about proportional relationships:

https://brainly.com/question/12242745

#SPJ1

Answer: Every 12th bag has both a T-shirt and socks.

Step-by-step explanation:

Given: T shirt: Every fourth bag

Socks: Every third bag

Least common multiple of 4 and 3 = 12 as 4 and 3 are coprime (i.e. their highest common factor is 1) and 4 x 3 = 12

It implies every 12th bag has both a T-shirt and socks.

Hence,  Every twelfth bag has both a T-shirt and socks.

Answer:

The compound inequality which is used to model the normal rage of pH values of water is:

x>6.5 and x<8.5    (6.5<x<8.5)

Step-by-step explanation:

It is given that:

Normal drinking water needs to have a pH of less than 8.5 and greater than 6.5.

This means that the pH level of the water will lie in the range in between 6.5 and 8.5 excluding them.

Hence, if the pH level is less than or equal to 6.5 or greater than or equal to 8.5 then it could not be used for drinking purpose.

If x represent the pH of the normal drinking water then:

                 6.5 < x < 8.5

i.e. x>6.5 and x<8.5

Answer:

1 24/25 or one and twenty-four twenty-fifths (in word form).

Step-by-step explanation:

This would be the answer since, we firstly have to convert the mixed fractions into improper fractions. 7/5*7/5, which equals to 49/25. In simplified form it would be 1 2/25.

1 2/5=7/5

7/5*7/5= 49/25 or 1 24/25.

Anyhow, the answer is 1 24/25

The simplified mixed fraction for the given fraction is  \(24\frac{1}{2}\)

A fraction represented with its quotient and remainder is a mixed fraction, a mixed fraction is a combination of a whole number and a proper fraction.

Given that a fraction \(1\frac{2}{5}\) × \(1\frac{2}{5}\)

We need to simply it in a mixed fraction,

\(1\frac{2}{5}\) × \(1\frac{2}{5}\)

= 7/2 × 7/2

= 49 / 2

= \(24\frac{1}{2}\)

Hence, the simplified mixed fraction for the given fraction is  \(24\frac{1}{2}\)

Learn more about mixed fraction, click;

https://brainly.com/question/29019463

#SPJ2

Answer:

From the statements in the question, I and III is CORRECT

Step-by-step explanation:

First we take down the given data from the question for substitution;

Process mean = 16.9 ounces

Lower specification limit = 16.75 ounces

Upper specification limit = 17.05 ounces

Standard deviation = 0.04

Now, we get our Cpk;

Cpk = MINIMUM( (Upper specification limit - mean ) / 3 × Standard deviation), (mean - Lower specification limit) / 3 × Standard deviation) )

so we substitute

Cpk = MINIMUM(  ((17.05 ounces - 16.9 ounces) / 3 × 0.04 ounces ), (( 16.9 ounces - 16.75 ounces) / 3 × 0.04 ) )

Cpk = MINIMUM( 0.15 / 0.12 ), ( 0.15 / 0.12 )

Cpk = MINIMUM( 1.25, 1.25 )

Cpk = 1.25

Next the Cp;

Cp = ( Upper specification limit - Lower specification limit ) / ( 6 ×  standard deviation )

we substitute

Cp = ( 17.05 ounces - 16.75 ounces ) / ( 6 × 0.04 ounces )

Cp = 0.3 / 0.24

Cp = 1.25

Hence;

Cpk calculation is not less than Cp calculation.

Since Cp is greater than 1, the process is cable.

Since the actual process mean is also 16.90 ounces, then  the process is centered.

Therefore, From the statements in the question, I and III is CORRECT

The correct statement is "the Cp calculation indicates that the process is capable" and "the process is centered, so the Cp calculation should be used" and this can be determined by using the formula of Cpk and Cp.

GIven :

The formula of Cpk is given below:

\(\rm Cpk = minimum\left( \dfrac{Upper \;specification \;limit - mean}{ 3 \times Standard \;deviation)}, \dfrac{ mean - Lower\; specification\; limit} { 3 \times Standard \;deviation}\right )\)

Now, substitute the known terms in the above formula.

\(\rm Cpk = minimum \left(\dfrac{17.05-16.9}{3\times 0.04},\dfrac{16.9-16.75}{3\times 0.04}\right)\)

\(\rm Cpk = minimum \left(\dfrac{0.15}{0.12},\dfrac{0.15}{0.12}\right)\)

Cpk = 1.25

Now, the formula of Cp is given below:

\(\rm Cp = \dfrac{Upper\; specification\; limit - Lower\; specification \;limit} { 6 \times standard \;deviation }\)

Now, substitute the known terms in the above formula.

\(\rm Cp = \dfrac{17.05-16.75}{6\times 0.04}\)

Cp = 1.25

So, the correct statement is "the Cp calculation indicates that the process is capable" and "the process is centered, so the Cp calculation should be used".

Therefore, the correct option is D) I and III.

For more information, refer to the link given below:

https://brainly.com/question/15351734

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

for such more question on combinations

https://brainly.com/question/28065038

#SPJ8

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

Find out more on equation at: https://brainly.com/question/29174899

#SPJ1

Answer:

(B)52,548.47 Quadrillion Units.

(D)64 rabbits

Explanation:

Number 1

Energy consumption in 2015 = 51,000 Quadrillion Units

Rate of Increase per year = 0.6%

2020 - 2015 = 5years

We can model this problem using an exponential growth function.

Substituting the given values, we have:

The energy consumed in 2020 is 52,548.47 Quadrillion Units.

Number 2

Number of rabbits last year = 12

Rate of Increase per month = 15%

Time = 12 months

We can model this problem using an exponential growth function.

Substituting the given values, we have:

The number of rabbits in the field now is 64.

Answer:

1)

√50

50=2·5²

The 5s can be taken out to get 5√2

2)

√24

24=2³·3

Two 2s can be taken out to get 2√6

3)

√192

192=2⁶·3

We can take the 2s out to get 8√3

4)

√169

169=13²

The 13s can be taken out to get 13

5)

√147

147=3·7²

The 7s can be taken out to get 7√3

6)

√(13/49)

√13/√49

13 is prime, 49=7²

(√13)/7

7)

√(6/27)

√6/√27

6=2·3 and 27=3³

Two 3s can be taken out to get √6/3√3

√6 can be rewritten as √2·√3

In (√2·√3)/3√3 the √3s cancel leaving √2/3

8)

3/√6

In fractions you can multiply and divide by x/x

In this case, x=√6

3√6/(√6·√6)

3√6/6

6=3·2 and the 3s cancel out leaving √6/2

The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.

To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.

Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.

The total weight equation is given by:

x + y = 1900

The protein content equation is given by:

(0.70x + 0.20y) / 1900 = 0.55

Simplifying the second equation, we get:

0.70x + 0.20y = 0.55 × 1900

0.70x + 0.20y = 1045

Now, we can solve this system of equations to find the values of x and y.

Rearrange the first equation to solve for x:

x = 1900 - y

Substitute this expression for x in the second equation:

0.70(1900 - y) + 0.20y = 1045

1330 - 0.70y + 0.20y = 1045

1330 - 0.50y = 1045

-0.50y = 1045 - 1330

-0.50y = -285

y = -285 / -0.50

y = 570

Now substitute this value of y back into the first equation to find x:

x + 570 = 1900

x = 1900 - 570

x = 1330

Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.

Learn more about system of equations click;

https://brainly.com/question/20067450

#SPJ1

The equation of the line in slope-intercept form is y = (3/4)x.

To write the equation of a line in slope-intercept form, we need to use the slope-intercept form equation: y = mx + b,

where m is the slope and b is the y-intercept.

Given that the line passes through the point (-8, 5) and has a slope of 3/4, we can substitute the values into the equation to find the y-intercept (b).

First, let's find the value of b using the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Using (-8, 5) as the point and 3/4 as the slope, we have:

5 - 5 = (3/4)(-8 - x)

0 = (3/4)(-8 - x)

0 = (-3/4)(8 + x)

0 = -6 - (3/4)x

Next, we can solve for x:

(3/4)x = -6

x = -6 \(\times\) (4/3)

x = -8

Now that we have the value of x, we can substitute it back into the equation to find the value of b:

0 = -6 - (3/4)(-8)

0 = -6 + 6

0 = 0

So, the value of b is 0.

Finally, we can write the equation of the line in slope-intercept form:

y = (3/4)x + 0

y = (3/4)x.

For similar question on slope-intercept form.

https://brainly.com/question/1884491  

#SPJ8