Now, take the square root of both sides of the equation (c^2 = n^2) and write the resulting equation. Is there any way for this equation to be true? How?




Only answer if you can properly answer

The percentage of yellow paint that has to be used is given as 0.45

The amount of seafoam paint is given as 1.5 quartz

The percentage of yellow paint in the seafoam paint is 30 percent

Hence the amount that would be in it that would be made of yellow paint is given as

1.5 x 30%

1.5 x 0.30

= 0.45

Hence we would conclude by saying that the amount of yellow paint that has to be used in order to make the paint should be 0.45

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Curt and Melanie are mixing blue and yellow paint to make seafoam green paint. 1.5 quarts of seafoam paint is made of 70% blue, 30% yellow. Use the percent equation to find how much yellow paint they should use.

The estimated sum of the given series using the sum of the first 10 terms is 302,500, the improved estimate for the sum of the given series is between 305,000 and 306,000, and the value of n is 8.

(a) Utilizing the equation for the entirety of the primary n terms of the arrangement, we have:

\(s10 = 1^3 + 2^3 + ... + 10^3\)

= 1,000 + 8,000 + ... + 1,000,000

= 302,500

In this manner, the assessed whole of the given arrangement using the entirety of the primary 10 terms is 302,500.

(b) For n = 10, we have:

\(sn = 1^3 + 2^3 + ... + 10^3 ≈ 302,500\)

Utilizing the disparities with\(f(x) = x^3\), we have:

\(sn + ∫[10,∞] x^3 dx ≤ s ≤ sn + ∫[10,∞] x^3 dx + 10^3\)

Utilizing calculus, ready to assess the integrand:

\(sn + ∫[10,∞] x^3 dx = sn + [1/4 x^4] [10,∞] = sn + 2500\)

\(sn + ∫[10,∞] x^3 dx + 10^3 = sn + [1/4 x^4] [10,∞] + 10^3 = sn + 3500\)

Substituting sn = 302,500, we get:

302,500 + 2500 ≤ s ≤ 302,500 + 3500

305,000 ≤ s ≤ 306,000

In this manner, the made strides assess for the sum of the given arrangement is between 305,000 and 306,000.

(c) The Leftover portion Gauge for the Necessarily Test states that the mistake E in approximating the whole s of an interminable arrangement by the nth halfway entirety sn is:

\(E ≤ ∫[n+1,∞] f(x) dx\)

In this case, we need to discover mean of n such that E < 10 using the integral test

xss=removed xss=removed> \([(10^-5 x 4)^(1/4)] - 1\)

n > 7.9378

Subsequently, we require n = 8 to guarantee that the blunder within the estimation s ≈ sn is less than\(10^-5.\)

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Part A

\(4x^2 -7x-15=0\\\\(4x+5)(x-3)=0\\\\x=-\frac{5}{4}, 3\)

So, the x-intercepts are \(\boxed{\left(-\frac{5}{4}, 0 \right), (3,0)}\)

Part B

The vertex will be a minimum because the coefficient of \(x^2\) is positive.

The x-coordinate of the vertex is \(x=-\frac{-7}{2(4)}=\frac{7}{8}\)

Substituting this back into the function, we get \(f\left(\frac{7}{8} \right)=4\left(\frac{7}{8} \right)^2 -7\left(\frac{7}{8} \right)^2 -15=-\frac{289}{16}\)

So, the coordinates of the vertex are \(\boxed{\left(\frac{7}{8}, -\frac{289}{16} \right)}\)

Part C

Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.

The graph is shown in the attached image.

Step-by-step explanation:

QR= 1.5 inches

TS= 2 inches

TP= 3.8 inches

RS= 1.4 inches

PQ= 2.6 inches

now complete ur promise

Answer:

Step-by-step explanation:

Remark

The question says to increase the lengths of each side by a factor of 1.5.

That means that every measurement we see on the diagram is multiplied by 1.5

QR = given length times 1.5

given length = 1.5

QR = 1.5 * 1.5

QR = 2.25

TS = given length * 1.5

TS = 2 * 1.5

TS = 3

TP = given length * 1.5

TP given = 3.8

TP = 3.8 * 1.5

TP = 5.7

RS = given length * 1.5

given length = 1.4

RS = 1.4 * 1.5

RS = 2,1

PQ = given length * 1.5

given length = 2.6

PQ = 2.6 * 1.5

PQ = 3.9

Answer:

2nd option

Step-by-step explanation:

Given

\(\frac{x}{5}\) = 5 ( multiply both sides by 5, the reciprocal of \(\frac{1}{5}\) to clear the fraction )

x = 25

Inverse distance weighting (IDW) spatial interpolation is a technique for estimating values at unknown places from nearby known values. The equation for IDW is: Z(x) = Σ [wi * Zi] / Σ wi. The power parameter (p) and the search radius (r) are among the IDW's parameters.

Spatial interpolation by inverse distance weighting (IDW) is a method used to estimate values at unknown locations based on nearby known values. It is commonly used in geostatistics and spatial analysis to fill in missing or unobserved data points in a continuous surface.

The equation for IDW is as follows:
Z(x) = Σ [wi * Zi] / Σ wi
In this equation,

Z(x) represents the estimated value at location x,

Zi represents the known value at location i, and

wi represents the weight assigned to each known value based on its distance from location x.

The parameters of IDW include the power parameter (p) and the search radius (r).

The power parameter determines the influence of each known value on the estimated value at the unknown location. A higher power value gives more weight to the closest points, while a lower power value spreads the influence of nearby points more evenly.

The search radius defines the distance within which neighboring points are considered for interpolation.

IDW has several properties that are important to consider:
1. Inverse relationship: IDW assumes an inverse relationship between distance and influence. Closer points have a greater influence on the estimated value than farther points.
2. Deterministic: IDW provides a deterministic estimate at each unknown location based on the known values within the search radius.
3. Smoothing effect: IDW tends to smooth out abrupt changes in the data. This can be an advantage when dealing with noisy or inconsistent data, but it can also result in the loss of detailed information.
4. Sensitivity to parameter selection: The choice of power parameter and search radius can significantly impact the results of IDW. It is important to select appropriate values based on the characteristics of the data and the desired outcome.

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The line representing the equation part of the constraint \($7 x_1+4 x_2 \leqslant 28$\) goes through (4,0) & (0,7).

Hence, option (c) is the correct choice.

The constraint equation is g(x,y)=c, and we state that x and y are constrained by g(x,y)=c.

Constrained maximum and constrained minimum points are locations (x,y) that are maxima or minima of f(x,y) with the condition that they meet the constraint equation g(x,y)=c.

A constraint function can be translated into a new form that is equal to the original function; that is, the constraint boundary and feasible set for the problem remain unchanged, but the function's form does.

The given constraint is:

\(7 x_1+4 x_2 \leq 2\)

If x_1=0

So, we will get:

4x_2=28

=>x=7

If x_2=0

7 x_1 =28

x_1 =4

So, the points are: (4,0)

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The division of the numbers 273.23÷36 yields the value 7.589.

Long division in mathematics is a strategy for breaking down complicated division problems into a series of simpler steps. It is the approach that division-based issues are often solved with. Much like the usual division questions, the dividend is divided by the divisor which yields a result known as the quotient, and occasionally it gives a remainder too.

The given expression is:

273.23÷36

Divide the number 273.23 with 36 and write the remainder at the bottom.

Again, divide the remainder with 36, until further reduction is not possible.

Hence, the division of the numbers 273.23÷36 yields the value 7.589.

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Answer:

a=2

Step-by-step explanation:

3a + 3 - 6a = 15

combine like terms: 3a +6a

9a + 3 = 15

add 3 to 15

9a = 18

divide 9 from 18

a = 2

plug it into the equation to check for errors!

3 (2) + 3 - 6 (2) = 15

3 (2) = 6 -6 (2) = -12

6 + 3 - 12 = 15

3 - 12 = 9

9 + 6 = 15

Hope this helps! ❤

Answer:

No

Step-by-step explanation:

you can see that they can not go into each other and come out correct so the answer would have to be no (we were working on this same thing)

Answer:

Step-by-step explanation:

False

Answer: 88°

Step-by-step explanation:

We know that the ratio of ∠DCB : ∠ACD is 3:1. In other words, ∠DCB is \(\frac{3}{3+1}\), or \(\frac{3}{4}\) of the whole angle (i.e., ∠ACB), while ∠ACD is \(\frac{1}{4}\) of the whole angle.

To easily find ∠ACB, which is the sum of both angles, we can add up all the angles of \(\triangle ABC\) and set it equal to 180°.

\(m\angle A + m\angle B + m\angle ACB = 180\\75+53+m\angle ACB=180\\128+m\angle ACB=180\\m\angle ACB=52\)

From here, we can calculate ∠BCD by multiplying the value of ∠ACB by three-fourths.

\(m\angle BCD = \frac{3}{4}(m\angle ACB)\\m\angle BCD = \frac{3}{4}(52)\\m\angle BCD = 39\)

Similar to what we did to get the measure of ∠ACB, we can add up all the angles measures of \(\triangle DBC\) to get the measure of ∠BDC.

\(m\angle B + m\angle BDC + m\angle BCD = 180\\53+m\angle BDC + 39= 180\\92+ m\angle BDC=180\\m\angle BDC = 88\)

The measure of ∠BDC is 88°.

\(\tan 64^{\circ}=\frac{x}{11} \implies x=11 \tan 64^{\circ}\)

Standard Deviation statistic of the sampling distribution is used in calculating the margin of error for a confidence interval of the population mean.

Basically, the margin of error is stated as follows:

Error margin, E = Z* (Standard deviation)

Therefore, the calculation of the margin of error does not employ the mean at all.

The margin of error is computed using the standard deviation.

The term "standard deviation" reveals that a measurement of the data's dispersion from the mean. While a high standard deviation indicates that the data are more spread or dispersed, a low standard deviation suggests that the data are clustered or gathered around the mean.

It depicts the average deviation of each score from the mean. A high standard deviation in a normal distribution denotes that values are often far from the mean, while a low standard deviation denotes that values are grouped together around the mean.

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The prove of ∠1 equal to ∠2 is shown below.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

⇒ AB = AC, AD = AE and DC = EB

Now,

In ΔDBC and ΔEBC;

⇒ DC = EB   (Given)   ..(i)

Since,  AB = AC

So, the ΔABC is a isosceles triangle.

Hence, ∠DBC = ∠ ECB   ..(ii)

Here,  AB = AC and AD = AE

So, BD = EC   ..(iii)

Hence, By the condition (i), (ii) and (iii);

By SAS condition,

⇒ ΔDBC ≅ ΔEBC

Hence, We get;

⇒ ∠1 = ∠2

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(a) correctly describes the relationship between a parameter and a statistic.

The correct description is:

a) A statistic is calculated from sample data and is generally used to estimate a parameter.

In statistics, a parameter refers to a characteristic or measure that describes a population, while a statistic is a characteristic or measure calculated from sample data. Statistics are often used to estimate or infer the corresponding parameters of the population. Therefore, option (a) correctly describes the relationship between a parameter and a statistic.

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The equivalent expression of this 19 - 6(-k + 4) will be 6k + 5.

Given that:

Expression, 19 - 6(-k + 4)

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.

Simplify the expression, then we have

⇒ 19 - 6(-k + 4)

⇒ 19 + 6k - 24

⇒ 6k - 5

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Answer:

Interpolation refers to using the data in order to predict data within the dataset. Extrapolation is the use of the data set to predict beyond the data set.

Step-by-step explanation:

Extrapolation and interpolation are both used to estimate hypothetical values for a variable based on other observations. There are a variety of interpolation and extrapolation methods based on the overall trend that is observed in the data.

Answer:

Graph (B)

Step-by-step explanation:

Given inequality is,

x + 2y ≤ 47

This inequality has a sign of less than equal to ( ≤ ).

Properties of this inequality when graphed will be,

1). Sign of equal to in the given inequality shows that the graph of the line will be a solid line.

2). Sign of less than represents the shaded region below the line.

Therefore, Graph (B) will be the answer.

yw good luck

i did the three questions then i put some math notes in the bottom right corner

Answer:

Step-by-step explanation:

Angle DBC is congruent with ADB as alternate interior angles

The molarity of the KOH solution is 0.4558 M for a 50 mL sample of KOH that is titrated with a 0.8186 M HCl solution. Also given that the titration requires 27.87 mL of HCl solution to reach equivalence point.

In this problem, we are given a 50.0 mL sample of KOH that is titrated with a 0.8186 M HCl solution. The titration requires 27.87 mL of the HCl solution to reach the equivalence point. To find the molarity of the KOH solution, we need to use the definition of molarity, which is the number of moles of solute per liter of solution.
First, we need to calculate the number of moles of HCl that reacted with the KOH. We can do this using the titration equation:
moles HCl = molarity of HCl x volume of HCl used
moles HCl = 0.8186 M x 0.02787 L
moles HCl = 0.02279 mol
Since KOH and HCl react in a 1:1 ratio according to the balanced equation, the number of moles of KOH in the sample is also 0.02279 mol.
Next, we can use the volume and concentration of the KOH sample to calculate its molarity:
molarity of KOH = moles KOH / volume of KOH sample (in L)
volume of KOH sample = 50.0 mL = 0.0500 L
molarity of KOH = 0.02279 mol / 0.0500 L
molarity of KOH = 0.4558 M
Therefore, the molarity of the KOH solution is 0.4558 M.

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The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:

x - 5y = 3

x = 5y + 3

Now we can substitute this expression for x into the second equation:

3x - 2y = -4

3(5y + 3) - 2y = -4

15y + 9 - 2y = -4

13y = -13

y = -1

We can now substitute this value for y back into either equation to find the value of x:

x - 5y = 3

x - 5(-1) = 3

x + 5 = 3

x = -2

Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.

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According to Weber's law, two items must differ in weight by "5 percent"of weight in order to detect a difference.

We are given that Weber's law

For weight discrimination, Weber’s law states that the JND is proportional to the weight of the stimulus.

The JND is defined as the smallest difference between two weights that can be detected by an observer.

The proportionality constant is known as Weber’s fraction and varies depending on the type of stimulus and the sensory modality involved.

For weight discrimination, Weber’s fraction is typically around 2-3%.

This means that two items must differ in weight by approximately 2-3% of their weight in order to detect a difference.

The difference of weight in percent is 5%, the correct option is A.

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The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.

The limit definition of a derivative is expressed as follows:

\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)

Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.

The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.

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Answer:

60x$70=$4100

Step-by-step explanation:

ekdjnsjs

Answer:

60 x 70= 4200$

Step-by-step explanation:

60

70   x

_____

(jk no need to do this just multiply them this way,because there are zeros just multiply 6 and 7 which equals 42 then add the zeros which are equal to= 4200$

The factors of x - x - 6 are (x - 3) and (x + 2). To find the factors, we need to factorize the quadratic expression x² - x - 6.

We can do this by using the quadratic formula or by factoring by grouping. Factoring by grouping gives us:

x² - x - 6 = (x - 3)(x + 2)

We can check that these are indeed the factors by multiplying them together:

(x - 3)(x + 2) = x² - x - 6

Therefore, the factors of x² - x - 6 are (x - 3) and (x + 2). The other options listed (6, -2, -3/2, and 1/2) are not factors of this quadratic expression.

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Complete Question:

What are the factors of x2 - x - 6? Check all that apply. »X-6x + 6Ox-3LOX-2X + 2Factor 2OOx + 1+ || -O=]-.

Answer:

2x^2 +4x -4

Step-by-step explanation:

(2x^2 - 2x) + (6x - 4)

Combine like terms

2x^2 +6x-2x -4

2x^2 +4x -4

Answer:

x = 15; I hope this is right

24 divided by 16 = 1.5

10 times 1.5 = 15