please help its do now
...
..
.

Therefore, m = 7.5454... (rounded to four decimal places) and n = 0.5455...

What is Simultaneous Equations?

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

1) 3p + 4q = 23

10p + 12q = 74

Subtracting 3 times the first equation from the second equation, we get:

10p + 12q - 3(3p + 4q) = 74 - 3(23)

10p + 12q - 9p - 12q = 5

p = 5

Substituting p = 5 in the first equation, we get:

3(5) + 4q = 23

4q = 8

q = 2

Therefore, p = 5 and q = 2.

2) 4s + 2t = 20

11s + 4t = 49

Multiplying the first equation by 2 and subtracting it from the second equation, we get:

11s + 4t - 2(4s + 2t) = 49 - 2(20)

11s + 4t - 8s - 4t = 9

3s = 9

s = 3

Substituting s = 3 in the first equation, we get:

4(3) + 2t = 20

2t = 8

t = 4

Therefore, s = 3 and t = 4.

3) 3a + 4b = 34

12a + 5b = 59

Multiplying the first equation by 3 and subtracting it from the second equation, we get:

12a + 5b - 3(3a + 4b) = 59 - 3(34)

12a + 5b - 9a - 12b = 17

3a - 7b = 17

Multiplying the first equation by 5 and subtracting it from the second equation, we get:

12a + 5b - 5(3a + 4b) = 59 - 5(34)

12a + 5b - 15a - 20b = -61

-3a - 15b = -61

a + 5b = 20

Adding the equations 3a - 7b = 17 and a + 5b = 20, we get:

4a = 37

a = 9.25

Substituting a = 9.25 in the equation a + 5b = 20, we get:

9.25 + 5b = 20

5b = 10.75

b = 2.15

Therefore, a = 9.25 and b = 2.15 (rounded to two decimal places).

4) 6m + 5n = 48

18m + 4n = 78

Multiplying the first equation by 3 and subtracting it from the second equation, we get:

18m + 4n - 3(6m + 5n) = 78 - 3(48)

18m + 4n - 18m - 15n = -6

-11n = -6

n = 0.5455...

Substituting n = 0.5455... in the first equation, we get:

6m + 5(0.5455...) = 48

6m = 45.2727...

m = 7.5454...

Therefore, m = 7.5454(rounded to four decimal places) and n = 0.5455.

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The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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The equation of the tangent line to the astroid at the point (-3√3, 1) is: y = -(3√3)^(1/3)x - 3(3√3)^(1/3) + 1

To find the equation of the tangent line to the astroid at the point (-3√3, 1), we need to first find the slope of the tangent line.

We can do this by taking the derivative of the equation of the astroid with respect to x, and then evaluating it at the point (-3√3, 1).

Taking the derivative of x²/³ + y²/³ = 4 with respect to x, we get:

(2/3)x^(-1/3) + (2/3)y^(-1/3) * dy/dx = 0

Solving for dy/dx, we get:

dy/dx = (-x^(1/3))/y^(1/3)

Substituting x = -3√3 and y = 1, we get:

dy/dx = (-(-3√3)^(1/3))/(1^(1/3)) = -(3√3)^(1/3)/1

So the slope of the tangent line at the point (-3√3, 1) is -(3√3)^(1/3).

Now we can use the point-slope form of the equation of a line to find the equation of the tangent line. The point-slope form is:

y - y1 = m(x - x1)

Substituting x1 = -3√3, y1 = 1, and m = -(3√3)^(1/3), we get:

y - 1 = -(3√3)^(1/3)(x + 3√3)

Simplifying, the equation of the tangent line to the astroid at the point (-3√3, 1) is:

y = -(3√3)^(1/3)x - 3(3√3)^(1/3) + 1

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50%

since 98/2 = 49

Thats it

Answer:

y=-7x^2-14x-2

Step-by-step explanation:

Hope this helpz

Answer:

x=50

Step-by-step explanation:

\(x + x + x + 30= 180\)

\(3x + 30 = 180\)

\(3x = 180 - 30\)

\(x = 150 \div 3\)

\(x = 50\)

Answer:

the answer is for sure is x=-1-2

He ran 194 miles fewer he ran in 3 days than the 16 days run.

the statute mile, which is 5,280 feet long, is one example of a mile (1.609 km). The mille passus, or "thousand paces," was a unit of measurement used in ancient Rome and equaled 5,000 Roman feet.

The "old London" mile, which was eight furlongs, was first established around the year 1500. The mile at that time was equal to 5,000 feet, with the furlong being 625 feet at that time, using the larger northern (German) foot.

A statute from 1593 that confirmed the use of a shorter foot and made the length of the furlong 660 feet increased the mile by 280 feet during the reign of Queen Elizabeth I, bringing it to 5,280 feet.

The Fewer mile he ran = (16 × 14) - (3 × 10)

                                      = 194 miles

Thus, He ran 194 miles fewer he ran in 3 days than the 16 days run.

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If an IR signal has a percent transmittance of 45%, then the sample absorbed 55% of the IR light

The percent transmittance of an IR signal = 45%

The equation of percent transmittance is

Percent transmittance = ( I / Io ) × 100

Where Io is the intensity of the IR signal entering the sample

I is the intensity of the IR signal leaving the sample

If the Io = I, then the percent transmittance is 100% that means the sample did not absorb any light and if Io= 0 then the the percent transmittance is 0% then sample absorbed all the light

Here, the percent transmittance is 45%, that mean the 55% of light absorbed by the sample

Therefore, the sample absorbed 55% of the IR light

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Answer: 4) The center is located at (1, 3), and the radius is 6

Step-by-step explanation:

Solve the general equation of the circle.

x^2 -2x +1+ y^2-6y+9= 26+1+9 (x-1)^2+(y-3)^2=36=6^2

Hence, the coordinates of the center (1,3) And the radius will be 6

The center is located at (1,3) and the radius is 6.

"The center is the point from which all of the points on the circle are the same distance."

"The radius is the exact distance from the center to any point on the circle."

We have

\(x^{2} -2x+y^{2}-6y = 26\\\)

Add 1 and 9 on both sides of equation

⇒\(x^{2} -2x+1+y^{2}-6y+9 = 26+1+9\)

⇒\((x-1)^{2} +(y-3)^{2}= 36\)

⇒\((x-1)^{2}+(y-3)^{2}=6^{2}\).......(1)

We know the Standard form of equation of the circle

\((x-h)^{2}+(y-k)^{2} =r^{2}\)

By comparing the standard form and equation (1)

Center (h, k) = (1, 3) and radius is 6

Hence, The center is located at (1,3) and the radius is 6.

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Answer:

Follows are the solution to this question:

Step-by-step explanation:

In the given function, its denominator value that is x²+x+3 is always given a positive value.

This function has a polynomial expression in the numerator and denominator value, that's why the above the function is defined everywhere in the interval value.

please find the attached file.

Answer:

here the value of X should be 8 to make this proportion true

3/8=15/40

by cross multiplying

15*8=40*3

120=120

therefore the option C is correct

Answer:

This figure is not polygon and it is a concave

Step-by-step explanation:

A regular polygon has equal length sides with equal angles between each side. Any other polygon is an irregular polygon, which by definition has unequal length sides and unequal angles between sides. Circles and shapes that include curves are not polygons - a polygon, by definition, is made up of straight lines.

And a convex is like a circle. But a concave having an outline or surface that curves inward like the interior of a circle or sphere.

multiply Start Fraction 5 Over 7 End Fraction by 3.

What do math fractions mean?

An element of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.

                                Whether it is in the numerator or denominator, a complex fraction contains a fraction.

                             The numerator and denominator of a correct fraction are opposite each other.

What is basic fraction theory?

Every fraction has two components: the numerator, which is the actual number of parts, and the denominator, which is the total number of parts.

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Answer:

c is the answer i took the test

Step-by-step explanation:

No, there is no commutative property of subtraction for rational numbers. The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers.

The commutative property states that the order of the operands does not affect the result of an operation. For addition and multiplication, the commutative property holds true. However, for subtraction, the order of the operands does matter, and thus, the commutative property does not apply.

Let's consider an example to demonstrate this:

Take the rational numbers 3/4 and 1/2.

If we subtract 3/4 from 1/2, we have: 1/2 - 3/4 = (2/4) - (3/4)

= -1/4.

If we subtract 1/2 from 3/4, we have: 3/4 - 1/2 = (3/4) - (2/4)

= 1/4.

As you can see, the results are different when the order of subtraction is changed, indicating that subtraction does not follow the commutative property for rational numbers.

The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers. Changing the order of subtraction changes the result, making subtraction non-commutative for rational numbers.

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The commutative property does not apply to the operation of subtraction with rational numbers. This is because changing the order of the numbers in a subtraction operation will give a different result.

In mathematics, the commutative property refers to the idea that the order in which numbers are used in an operation does not change the result of that operation. This property holds true for addition and multiplication but, unfortunately, it does not hold true for subtraction and division. For example, in subtraction, if we take two rational numbers such as 5 and 3, 5 - 3 is equal to 2, but 3 - 5 equals to -2. As you can see, changing the order of the numbers gives us different results, demonstrating that there is no commutative property of subtraction for rational numbers.

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The Macaulay duration of a bond is a measure of the weighted average time until the bond's cash flows are received.

To calculate the Macaulay duration, we need the bond's cash flows and the yield to maturity. In this case, the bond has a coupon rate of 12 percent, sells at a yield to maturity of 14 percent, and matures in 15 years. The second paragraph will explain how to calculate the Macaulay duration.

To calculate the Macaulay duration, we need to determine the present value of each cash flow and then calculate the weighted average of the cash flows, where the weights are the proportion of the present value of each cash flow relative to the bond's price.

In this case, the bond has a coupon rate of 12 percent, so it pays 12 percent of its face value as a coupon payment every year for 15 years. The final cash flow at maturity will be the face value of the bond.

To calculate the present value of each cash flow, we discount them using the yield to maturity of 14 percent.

Next, we calculate the weighted average of the cash flows by multiplying each cash flow by its respective time until receipt (in years) and dividing by the bond's price.

By performing these calculations, we can determine the Macaulay duration, which represents the weighted average time until the bond's cash flows are received.

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Answer:

0.5 pounds of butter.

Explanation

X pounds for 0.25 gallons.

0.5 gallon of cream - 1 pound of butter

0.25 gallons of cream - X pounds of butter

Applying cross multiplication:

0.5X = 0.25

X = 0.25 over 0.5 or 0.25/0.5

X = 0.5

Therefor, you could make 0.5 pounds of butter with 0.25 gallons of cream.

By the 0.25 gallons of cream, we can make 0.5 pounds of butter.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

It takes 0.5 gallons of cream to make 1 pound of butter.

So,

0.5 gallons of cream ⇒  1 pound of butter

Divide both sides by 2

0.5/2 gallons of cream ⇒  1/2 pound of butter

0.25 gallons of cream ⇒ 0.5 pounds of butter

Hence "By the 0.25 gallons of cream, we can make 0.5 pounds of butter".

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Answer:

110000=p(1+0.019)^168

23.62p=110000

p=4660

credit: sqdancefan

Answer:

84330

Step-by-step explanation:

The compound interest formula gives the value of an investment.

 A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years. Using your given values, we can solve for P.

 110,000 = P(1 +0.019/12)^(12·14)

 P = 110,000/(1 +0.019/12)^(12·14) ≈ 110,000/1.00158333...^168

 P ≈ 110,000/1.30446

 P ≈ 84326.04 ≈ 84,330 . . . . dollars

H₀: The mean reported number of good friends is the same across marital statuses. H₁: There is a difference in the mean reported number of good friends among marital statuses.

In the context of the ANOVA table reporting F = 0.80 for comparing the reported number of good friends among different marital statuses (married, widowed, divorced, separated, never married), the null and alternative hypotheses can be specified as follows:

Null Hypothesis (H₀): There is no significant difference in the mean reported number of good friends across the different marital statuses.

Alternative Hypothesis (H₁): There is a significant difference in the mean reported number of good friends across the different marital statuses.

The null hypothesis assumes that any observed differences in the mean reported number of good friends among the marital statuses are due to chance or random variation. On the other hand, the alternative hypothesis suggests that there is a meaningful difference in the mean reported number of good friends among the different marital statuses. The ANOVA F-test is used to evaluate whether the observed variation between groups is statistically significant

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When Declan selects a pupil from the list at random 100 times, the estimation on the total number of times Declan selects a pupil who studies French is equal to 20 (times).

We have a table present above which shows the probability a pupil chosen at random studies Italian, French, Russian or German. Now, Declan randomly select a pupil from the list at 100 times. We have to estimate for the total number of times Declan will select a pupil that studies French. From the table, the probability to select a pupil who studies French = 0.2

So, Total number of times Declan will select a pupil that studies French

= 0.2 × 100

= 20 times

Hence, required estimation on total number of times is 20.

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Complete question:

The above table shows the probability a pupil chosen at random studies Italian, French, Russian or German.

Subject Italian French Russian German

Probability

Declan select a pupil from the list at random 100 times. Work out an estimate for the total number of times Declan will select a pupil that studies French

Answer:

14

Step-by-step explanation:

Answer:

amount saved

Step-by-step explanation:

Answer:

y=\(\frac{1}{2}\)x-8

Step-by-step explanation:

To solve this, you have to use the formula \(\frac{x_{2} -x_{1} }{y_{2} -y_{1}}\) to find the slope.

\(\frac{0+4}{-8-0}\) = 4/-8 = -1/2

so the slope is -1/2

Now, you plug your values into the formula y=mx+b

m = slope = 1/2

b = y-intercept = -8

so the final formula is y=\(\frac{1}{2}\)x-8

Answer:

true

Step-by-step explanation:

when the domain (x-values)is not repeated in the relation

Answer:

282.7 (rounded to the nearest tenth)

Step-by-step explanation:

Using the given dimensions of the coffee mug, we can calculate the volume of coffee it can hold using the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height.

The radius of the mug is half of its diameter, which is 6 cm, so r = 3 cm. The height of the mug is 10 cm.

Substituting these values into the formula, we get:

V = π(3 cm)²(10 cm) V = π(9 cm²)(10 cm) V = 90π cm³

Rounding this to the nearest tenth gives:

V ≈ 282.7 cm³

Therefore, the coffee mug can hold approximately 282.7 cm³ of coffee when filled to the top.

Answer: 282.7 (rounded to the nearest tenth)

Answer:

n = 28.8

Step-by-step explanation:

\(\frac{n}{18} =\frac{12}{7.5}\)

n × 7.5 = 18 × 12

7.5n = 216

7.5n ÷ 7.5 = 216 ÷ 7.5

n = 28.8

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

the best estimate of the half-life, combining the two results, is approximately 13.7421 days with an uncertainty of approximately 1.3772 days.

To determine the best estimate of the half-life by combining the two results, we can use the weighted average method. The weights assigned to each measurement are inversely proportional to the squares of their uncertainties. Here's how to calculate the combined result:

Step 1: Calculate the weights for each measurement.

  w1 = 1/σ1^2

  w2 = 1/σ2^2

  Where σ1 and σ2 are the uncertainties associated with each measurement.

Step 2: Calculate the weighted values.

  w1 * t1 = w1 * (15.5 days)

  w2 * t2 = w2 * (16.2 days)

Step 3: Calculate the sum of the weights.

  W = w1 + w2

Step 4: Calculate the weighted average.

  T = (w1 * t1 + w2 * t2) / W

Step 5: Calculate the combined uncertainty.

  σ = √(1 / W)

The best estimate of the half-life is given by the value of T, and the combined uncertainty is given by the value of σ.

Let's calculate the best estimate using the given values:

For the first measurement:

σ1 = 2.3 days

For the second measurement:

σ2 = 1.5 days

Step 1:

w1 = 1/σ1^2 = 1/(2.3^2) ≈ 0.1949

w2 = 1/σ2^2 = 1/(1.5^2) ≈ 0.4444

Step 2:

w1 * t1 ≈ 0.1949 * 15.5 ≈ 3.0195

w2 * t2 ≈ 0.4444 * 16.2 ≈ 7.1993

Step 3:

W = w1 + w2 ≈ 0.1949 + 0.4444 ≈ 0.6393

Step 4:

T = (w1 * t1 + w2 * t2) / W ≈ (3.0195 + 7.1993) / 0.6393 ≈ 13.7421 days

Step 5:

σ = √(1 / W) ≈ √(1 / 0.6393) ≈ 1.3772 days

Therefore, the best estimate of the half-life, combining the two results, is approximately 13.7421 days with an uncertainty of approximately 1.3772 days.

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A negative relationship exists when two connected variables move in opposite directions. As a result, Option A is right which has a downward slope and variables that are negatively correlated.

An inverse correlation, sometimes referred to as negative correlation, is a relationship between two variables in which, when one variable's value is high, the other variable's value is likely low.

For instance, with the variables A and B, when A is high, B is low, and when A is low, B is high. In statistical nomenclature, an inverse correlation is frequently expressed by the correlation coefficient "r," which has a value between -1 and 0, with r = -1 signifying complete inverse correlation.

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