What is the X intercept of X 3y =- 3?.

This set of linear equations, y - x = 6, and y + x = - 10, has the following solution.

What are linear equation systems?

In mathematics, a system of linear equations is the collection of two or more linear equations that share the same variables. The maximum power of the variable in the linear equations in this situation is 1, making them first-order equations. A linear equation may have one, two, or three variables.

Knowing that;

Y - x = 6

Y + x = -10

Since both equations are equivalent to y, let's equalize them.

x + 6 = - x - 10

By additional computation;

x + x = - 10 - 6

2x = - 16

Subtract 2 from both sides;

x = -8

In either equation, x should be changed to the appropriate value;

y - x = 6

y - (-8) = 6

Hence, we do;

y + 8 = 6

y = 6 - 8

y = - 2

Therefore,the answer to this set of linear equations is y + x = -10 and y - x = 6. (-8, -2).

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The teacher has offered his students a(n): algorithm

What is algorithm?

A method which solve a puzzle or carry out a calculation is known as an algorithm. Algorithms are precise lists of instructions that, in either software or hardware-based routines, carry out predetermined operations step by step. In many facets of IT, algorithms are commonly utilized. An algorithm is typically a short process that resolves a recurring issue in mathematics and computer science. Automated systems heavily rely on algorithms, which are also utilised as guidelines for carrying out data processing. Pseudocode, flowcharts, control tables, and plain languages are all ways to express algorithms. Since they are more ambiguous, natural language expressions are uncommon. Algorithms that a computer executes are typically expressed in programming languages.

A high school physics teacher reassures his class that no matter how confusing this week's word problems appear,

And they all may be solved quite handily through the use of the formula F = MA.

Hence this is the prime example of the algorithm.

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Using Hypothesis testing,

a) Two samples are independent.

b)H₀: an expectant mother's cigarette smoking has any not effect on the bone mineral content of her otherwise healthy child.

Hₐ : an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

c) Null hypothesis is accepted.

so, an expectant mother's cigarette smoking has no effect on the bone mineral.

We have given that,

A study which is conducted for check an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

For new-born whose mother's cigarette smoking

sample size , n₁= 77

X-bar, x₁-bar = 0.098 g/cm

standard deviations, s₁ = 0.026 g/cm

For new-born whose mother did not cigarette smoking

sample size , n₂ = 161

standard deviations, s₂ = 0.025 g/cm.

mean (X-bar) , x₂-bar = 0.095 g/cm

a) the two samples are independent since they are different types of mothers, smoking mothers and non smoking mothers

b)H₀: an expectant mother's cigarette smoking has any not effect on the bone mineral content of her otherwise healthy child.

Hₐ: an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

c) Test statistic:

t = (x₁-bar - x₂-bar )/S (√1/n₁+1/n₂)

where , S = √(s₁²(n₁ - 1) + s₂²(n₂ -1))/n₁+n₂ - 2

S = √((0.026)²(76) +(0.025 )²(160))/236

= 0.0253

then, t = (0.098 - 0.095 )/0.0253(√1/77 +1/161 )

=> t = 0.859

Using the critacal table critical t is

Critical t = ±1.970065

Degrees of freedom =236.0000

P-Value=0.3935 which is greater than α(0.05),

So , we accept H₀

Thus, an expectant mother's cigarette smoking has not effect on the bone mineral content of her otherwise healthy child.

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By using t test, it can be concluded that

The value of t at level of significance = 0.10 with 5 degree of freedom is greater than the value of t at level of significance = 0.10 with 10 degree of freedom

What is t test?

If the observations are from a normal population and the population standard deviation is not known, the distance between the sample mean and the population mean can be calculated by using t test

By using t- table

The value of t at level of significance = 0.10 with 5 degree of freedom = 2.015

The value of t at level of significance = 0.10 with 10 degree of freedom = 1.812

Since 2.015 > 1.812,

The value of t at level of significance = 0.10 with 5 degree of freedom is greater than the value of t at level of significance = 0.10 with 10 degree of freedom

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The interest that Elizabeth will get based on the information is $480.

From the information, Elizabeth deposited her 1/2 of the profit from selling her fathers house. the full profit was $12000. The profit deposited will be:

= 1/2 × $12000

= $6000

The simple Interest will be calculated thus:

= Principal × Rate × Time

= $6000 × 4% × 2

= $6000 × 0.04 × 2

= $480

The interest is $480.

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Two years ago, elizabeth deposited her 1/2 of the profit from selling her fathers house. the full profit was $12000. she was promised 4% simple interest. How much was the interest?

Half life of the radioactive substance is 3.6  days

The half life of the element is calculated from the formula

N(t) = N'(1/2)^(t/t')

N(t) = quantity of the substance remaining

N' = initial quantity of the substance

t = time elapsed

t' = half life of the substance

0.4 = 4.8 (0.5)^13/t'

0.4 / 4.8 =  (0.5)^13/t'

take natural logarithm of both sides

㏑(0.4/4.8) = 13/t' ㏑(0.5)

divide through by natural log of 0.5

-2.4849 / ㏑(0.5) = 13/t'

13/t' = 3.58496

t' = 13 / 3.58496

t' = 3.626 days

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Answer:

$770

$40,040

Step-by-step explanation:

Last week: 11% of $7,000

11% of $7000 = 11/100 × $7000 = $770

Full year is 52 weeks.

52 × $770 = $40,040

The domain of the given function is {0, 1, 2 3.... 10}.

The range of the function is: {0, 2.69, 3.17, 3.65, 4.13, 4.61, 5.09, 5.57, 6.03, 6.49, 6.95}

A function has a set of input values (x-values) that are corresponding to a set of output values (y-values).

The set of these input values (x-values) is what is referred to as the range of a function, while the set of the corresponding output values (y-values) is the domain of the function.

Given the graph above, all the set of weight are input values which make up the domain of the function, while the set of corresponding prices is the range of the function.

The domain is therefore: {0, 1, 2 3.... 10}.

The range is therefore: {0, 2.69, 3.17, 3.65, 4.13, 4.61, 5.09, 5.57, 6.03, 6.49, 6.95}

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The rate of change of capital in terms of units of labor is -2.0 As more labor is used, available capital decreases As more capital is used, available labor decreases.

[tex]100x^{0.75} y^{0.25} = 135540[/tex]

x = 1500 units and y = 1000 units

A) [tex]\frac{d}{dx}(100x^{0.75}y^{0.25} = \frac{d}{dx}(135540)[/tex]

[tex]100[{\frac{d}{dx}(x^{0.75})y^{0.25} + x^{0.75}\frac{d}{dx}(y^{0.25})] = 0[/tex]

[tex]0.75 x^{-0.25} y^{0.25} + x^{0.75} (0.25y^{-0.75\frac{dy}{dx} }) = 0[/tex]   ______(1)

X & Y values in equation 1

[tex]0.75(1500^{-0.25}(1000)^{0.25}+(1500)^{0.75}(0.25)(1000)^{-0.75}\frac{dy}{dx} = 0[/tex]

(0.75) (0.16) (5.62) + (0.41) (0.25) (0.0056) [tex]\frac{dy}{dx}[/tex] = 0

0.6744 + 0.3374 [tex]\frac{dy}{dx}[/tex] = 0

0.3374 [tex]\frac{dy}{dx}[/tex] = -0.6744

[tex]\frac{dy}{dx}[/tex] = -1.9988

[tex]\frac{dy}{dx}[/tex] ≈ -2.0

B) If the labor x is increased then the capital invested in manufacturing process decreased

C) As more capital is used then the available labor is reduced

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The integers are  3√25, -185/5, rational = -1/4, 0.75, 3√25, -185/5, 4√8, irrational = √13,

An integer is the number zero (0), a positive natural number (1, 2, 3, etc.) or a negative integer with a minus sign.

A rational number is any number that can be written as a fraction, where both the numerator or demoninator that is the top and the bottom number  are integers, and the denominator is cannot be zero

An irrational number is a type of real number which cannot be represented as a simple fraction.

A integer can always be a rational number but vice versa is not true.

Integer = 3√25 = 3x5 = 15

-185/5 = -37

rational = -1/4, 0.75, 3√25, -185/5, 4√8

irrational = √13,

Therefore, the integers are  3√25, -185/5, rational = -1/4, 0.75, 3√25, -185/5, 4√8, irrational = √13,

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Answer: 52.5

Step-by-step explanation: We can divide 50 by 20 to find what the number is. In this problem, the number is 2.5. Since we know this, we can multiply 2.5 and 21 to get 52.5.

hope this helps!

please give brainliest!

Answer:

21st term = 52.5

Step-by-step explanation:

Given that,

→ 20th term of a sequence is 50.

The common difference is,

→ 50 ÷ 20

→ 50/20

→ 2.5

Now the 21st term will be,

→ n × 2.5

→ 21 × 2.5

→ 52.5

Hence, the answer is 52.5.

The slope and y intercept of the line formed are 5 and 2 respectively .

Part A:

Yes. There is a correlation between the number of workers in a factory and the number of units produced daily.

Let us consider the coordinates [tex](x_{1},y_{1})\text{ and }(x_{2},y_{2})[/tex] to be (10, 52) and (20, 102)

The slope = m

[tex]m =\frac{y _{2}-y_{1}}{x_{2}- x _{1}} \\\\=\frac{102-52}{20- 10} \\\\= \frac{50}{10} \\\\= 5[/tex]

The value of slope = m = 5

The slope - intercept form of the equation is y = mx + b ----(1)

Let us find y intercept b (x = 0),

From the given table,

When x = 0 , y = 2

So ,b = 2

Substituting m = 5 and b =2 in the equation (1)

y = 5x + 2

Thus, there is a correlation between the number of workers in a factory and the number of units produced daily.

Part B :

Substituting m = 5 and b =2 in the equation (1)

y = 5x + 2

So,  y = 5x + 2 is the function that best fits the data.

Part C:

Here, the slope indicates that the rate of change of number of units produced daily over the rate of change of number of workers.

The y - intercept indicates that the number of units produced daily by the number of workers.

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Answer:

The double of 8 is 16. Answer is 16.

Answer:

18

Step-by-step explanation:

66-48=18

The alternative hypotheses that make a hypothesis test one-tailed are 1. Parameter is less than a value and 2. Parameter is greater than a value.

An explanation for a phenomena or a forecast of the results of an experiment are both examples of hypotheses. It is a speculative claim about how two or more variables are related, and it can be verified via more investigation, testing, and data gathering. Usually based on existing information and observations, hypotheses can be confirmed or refuted via scientific investigation.

A hypothesis is created by making an educated guess or prediction about how an experiment will turn out based on prior knowledge and observations. This hypothesis provides the basis for further research, and it may be improved upon and put to the test by gathering more information.

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To simplify complex fractions with LCD multiply each term in the numerator and denominator by the LCD

Given,

LCD;- Least Common Denominator

When two or more fractions are supplied, the least common denominator is the smallest number among all the common multiples of the denominators.

We have to find the method of simplification of complex fractions with LCD;

Here,

Multiply each term in the numerator and denominator by the LCD to simplify this complicated fraction. It doesn't matter how complicated these fractions are; all you need to do is discover the LCD to convert the complicated fraction into a simpler one. The technique is done more frequently the more fractions there are in an issue

That is,

To simplify complex fractions with LCD multiply each term in the numerator and denominator by the LCD

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The rate of change of the area of the right triangle at that instant is -1.5 sq km/h.

Let ABC be a right triangle, right-angled at B.

the side decreasing be, BC = x

and the increasing side be, AB = y

then, AC = z = √(x² + y²) (using Pythagoras theorem)

It is given that, dx/dt = - 5km/h and dy/dt = 14 km/h

x = 3, y= 9 at certain instant

now, the area of the triangle = 1/2 xy

A = 1/2 xy

dA/dt = 1/2 (y).dx/dt + x/2.dy/dt

at x = 3, y = 9, substituting the values,

(dA/dt) = 1/2 (9)(-5) + 3/2 (14)

= -1.5

therefore, the rate of change of the area of the right triangle at the instant when x=3 and y= 9 is -1.5 sq km/h.

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Answer:

Well, since your answer is 4.8n-5, It could be 2+2.4+4n.3+2

Step-by-step explanation:

it's probably wrong but I'm only doing this for points so get rekt

Step-by-step explanation:

just for points

The two expressions can be -5 + 4.8 n and 4.8n + (-5).

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

4.8n-5.

We can write the expression as

-5 + 4.8 n

or, using the integers

4.8n + (-5)

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The probability the couple will have at least two boys is 0.26.

This type of probability is independent probability. Independent probability can only occur if the events are independent or not dependent on previous event and also this event doesn't affect the next event.

For probability the couple will have at least two boys is equal to probability they have two boys plus probability they have three boys. Mathematically is,

P(x≥2) = P(x=2) + P(x=3)

P(x≥2) = 0.127 + 0.133

P(x≥2) = 0.26 or 26%

Thus, the couple will have at least two boys has a probability of 0.26 or 26%

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The average time a customer spend on department store is 1.33 hours.

Average:

In math, mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set is referred as average.

Given,

If there are on average 80 customers at any particular time and 60 customers go through the checkouts every hour

Here we need to find the average time spend by a customer.

Let us consider x be the time spend by the customer on department store.

While we looking into the given question we know that,

Number of customer = 80

Check out per hour = 60.

So, the average time is 1.33 hours.

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Answer: experiment

Step-by-step explanation:

A course of perception that has an unsure result is alluded to as an experiment.

The study of mathematical objects by computing in order to discover their properties and patterns is known as experimental mathematics. It has been described as "that mathematical theory that concerns itself ultimately with both the convention and transmission of insights within the mathematical neighborhood through the use of experimental investigation of conjectures and also more irregular beliefs and just a careful analysis of the information acquired in this endeavor (in either the Galilean, Baconian, Aristotelian or Kantian sense).

The nineteenth century saw the reemergence of experimental mathematical concepts as a distinct field of study as the range of calculations that could be performed was greatly expanded by the development of the electronic computer, which could perform calculations at speeds and with levels of precision that were unimaginable to earlier generations of mathematicians.

A course of perception that has an unsure result is alluded to as an experiment.

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Volume of the cone as a polynomial function., Radius of cone = x + 4 units.

According to our question-

Radius of cone = x + 4 units,

Height of cone = 5 units less than radius,

Volume formula.

Solution

We are given the volume formula:

V = (1/3)πr²h

Find the height:

h = r - 5

h = x + 4 - 5 = x - 1

Substitute all into formula:

V(x) = (1/3)π(x + 4)²(x - 1)

You may keep it as is or simplify:

V(x) =

(1/3)π(x² + 8x + 16)(x - 1) =

(1/3)π(x³ + 8x² + 16x - x² - 8x - 16) =

(1/3)π(x³ + 7x² + 8x - 16)

Hence, Volume of the cone as a polynomial function., Radius of cone = x + 4 units.

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The three angle bisector of a triangle intersect at a single point that point of concurrency of the angle of bisectors is called the incenter.

Given:

the 3 angle bisectors of a triangle intersect.

when three angle bisector of a triangle intersect then that point of concurrency is called incenter.

Incenter:

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle. In other words, it can be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.

Incenter formula:

= (ax1+bx2+x3 / a+b+c  , ay1+by2+y3 / a+b+c).

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The stream velocity has no influence on the amount of dissolved load it contains. The amount of dissolved material depends on erosion and deposition carried out in the watercourse. These are affected by factors such as the slope of the land, the resistance of the material to erosion, the size of the sediments transported, etc.

Stream velocity plays an important role in the transport of sediments and dissolved loads in a watercourse. It affects the erosion and deposition processes that occur in the watercourse, which in turn affect the amount of sediment and dissolved load that is carried by the stream. For example, faster stream velocities can cause more erosion of the stream bed, leading to more material being carried in the water.

Sediment is any particulate matter that is transported by a fluid, and it can come in many different forms. The three main types of sediment are:

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Answer: If it is one of your choices it should be angle angle side(aas)

Mr. Arnett will have to pay $15.75 for the trail mix if it cost $4.50 per pound.

According to the question,

We have the following information:

Amount of trail mix: 15 oz, 14 oz, 10 oz and 17 oz

Cost of 1 pound of trail mix = $4.50

Total amount of trail mix in oz:

15+14+10+17

56 oz

We know that 1 ounce = 0.0625 pounds

So, we have the following expression:

56 oz = 56*0.0625 pounds

56 oz = 3.5 pounds

Now, the cost of trail mix:

3.5*4.50

$15.75

Hence, Mr. Arnett will have to pay $15.75 for the trail mix if it cost $4.50 per pound.

The complete question is here:

At the grocery store, Mr. Arnett allowed each of his children to fill their own bag with trail mix for their hike. The table shows the amount of trail mix for each child.

Child-amount of trail mix in oz

Ava-15

Grayson-14

Mason-10

Tyler-17

The trail mix costs $4.50 per pound. How much will Mr. Arnett pay for all the trail mix?

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The expression to show the total number of shows Jonah hill recorded after w weeks is 32 + 6w

Jonah hill has recorded 32 shows using his cable television service. Each week he record 6 new shows.

The expression to show the total number of shows Jonah hill recorded after w weeks is as follows:

Hence,

let

w = number of weeks

Therefore, the expression to represent the situation is as follows:

total number of shows = 32 + 6w

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The algebric expression represents the cost of a four-line ad that runs for a year will be $(192/5)f.

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

Expression is very useful to determine the end or root value of constraint.

The constraint of expression is represented as = or <, >.

As per the given,

A local Pennysaver paper charges f dollars weekly for a five-line classified ad.

Cost of five-line ad = $ f / week

Cost of one line ad = $ f/5 / week

Cost of four line ad = $ (4/5) f / week

It is known that,

1 year = 12 x 4 = 48 weeks

Cost of four line ad for one year = $ (4/5)48 f

⇒ $(192/5)f

Hence "The algebric expression represents the cost of a four-line ad that runs for a year will be $(192/5)f".

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The average value of the function f(t) is [tex]4.433*10^{10}[/tex] .

Given,

[tex]f(t)=te^{3t^2}[/tex] over interval [1,3]

To find average value of the function use formula,

[tex]f(x)_{avg} =\frac{1}{b-a}\int\limits^a_b {f(x)} \, dx[/tex] over the interval {a,b}

[tex]f(x)_{avg} =\frac{1}{3-1}\int\limits^3_1 {te^{3t^2}} \, dt\\\\\\f(x)_{avg} =\frac{1}{2}\int\limits^3_1 {te^{3t^2}} \, dt\\[/tex]

let

[tex]u=3t^2\\\\du=6tdt \\\\tdt=\frac{du}{6}[/tex]

replacing u and du ,

[tex]f(x)_{avg} =\frac{1}{2*6}\int\limits^3_1 {e^{u}} \, du\\\\f(x)_{avg} =\frac{1}{12}\ e^u\|\limits^3_1\\ \\f(x)_{avg} =\frac{1}{12}\ e^{3x^2}\|\limits^3_1\\\\f(x)_{avg} =\frac{1}{12}\ [e^{3(3)^2}-e^{3(1)^2}]\\\\f(x)_{avg} =\frac{1}{12}\ [e^{27}-e^{3}]\\\\f(x)_{avg}=4.433*10^{10}[/tex]

Thus, the average value of the function f(t) is [tex]4.433*10^{10}[/tex] .

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