IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math

The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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The answer is d>3

I cant put it graphed but it is open circle on three and the line pointing 4, 5, 6, 7,

So,

Both lines represent the amounts that you are collecting for selling calendars and boxes of greeting cards.

Let's compare the steepness of the lines.

If we look at the lines, we notice that the slope of one of both (Calenders) is steeper than the other one. This means that the amount of money collected selling calenders is more than the amount of money collected selling boxes of greeting cards, if you sell the same number of each one.

For example, if you look at the number 2, we can compare that when you sell 2 calenders, you obtain 20 dollars, but if you sell 2 boxes, you only obtain 12 dollars.

As a conclution, when the slope is steeper, you'll get more amount of money. (In this case, selling calenders)

If a straight angle is bisected, the resulting angles are 90° and 90°.

Angle bisectors are lines that cut across the angle under consideration. The term "bisect" means to divide into two equal portions. The considered angle is therefore divided in half by the bisected halves.

We have the expression,

a straight angle is bisected.

A straight angle in geometry is one that is 180 degrees in length. It looks like a straight line, which is why it is known as a straight angle.

A straight line may be thought of as a straight angle with two endpoints.

And straight angle has a value of 180°.

When it is bisected,

a straight angle has a bisector that divides it into two equal angles.

It forms 2 angles,

180°/ 2

= 90°

Therefore, resulting angles are 90° and 90°.

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Answer: 142825

Step-by-step explanation:

If \(t\) is the number of years, then the population is \(P(t)=100000(1.02)^t\).

Setting \(t=18\). \(P(18)=100000(1.02)^{18} \approx 142825\).

Answer:

Step-by-step explanation: Any triangle will equal 180 degrees

so 180 divided into thirds equals: 60

so each corner equals 60, then for the very top corner it would be 60+10=70 so y equals 70

and for the other corner its 60-5=55 so x is 55

i hope this helps

Answer:

x = 55

y = 70

Step-by-step explanation:

the tic marks are indicating this triangle is equilateral which means 'y-10' equals 'x+5' because equilateral triangles are also equiangular

if we use 'x+5' to define all three angles we must add it 3 times

x+5+x+5+x+5 = 3x + 15

all 3 angles add up to 180 degrees

to find 'x', set up this equation:

3x + 15 = 180

3x = 165

x = 55

now to find 'y' we need to add 'y-10' three times and set equal to 180

y-10 + y-10 + y-10 = 180

3y - 30 = 180

3y = 210

y = 70

Answer:

Q3: x = 4, y = 4, z = 4

Q4: x = 6, y = 0, z = -4

Step-by-step explanation:

Question 3: Simultaneous equations requires us to solve for x, y and z.

Since all three equations have a z in them, I will first solve for z.

Substitute in the first and third equation into the second equation.

First equation: x = 5z - 16

Second Equation: -4x + 4y - 5z = -20

Third equation: y = -z + 8

Substituting in x = 5z - 16 and y = -z + 8 for the x and y in the second equation.

-4(5z - 16) + 4(-z + 8) - 5z = -20

Expand

-20z + 64   - 4z + 32   - 5z = -20

Simplify and solve for z by putting all the numbers on one side and all the z's on the other side of the equals

-20z - 4z - 5z = -20 - 32 - 64

-29z = -116

z = -116/-29

z = 4

Substitute in this z value into the first and last equation and then solve for x and y

x = 5z - 16

x = 5(4) - 16

x = 20 - 16

x = 4

And

y = -z + 8

y = -(4) + 8

y = 4 (Its just a coincidence that they all equal to 4, I promise)

Question 5: A little bit harder of a question. Since the first and second equation both only have y and z, we can solve it using the elimination method.

Rearrange them so that the letters are on one side and numbers on the other side.

First equation: y + 6z = -24

Second equation: z + 2y = -4

I will choose to eliminate the y (You can choose either or)

Multiply the first equation by 2

2(y + 6z = -24)

2y + 12z = -48

Now that 2y is in both equations, we can minus one equation from the other to eliminate the y (I will minus the second from the first)

First Eq: 2y + 12z = -48

Second Eq: z + 2y = -4

2y - 2y = 0y

12z - z = 11z

-48 - (-4) = -44

Type these answers into a new equation

0y + 11z = - 44

Since y is 0, ignore it. Solve for z

11z = -44

z = -44/11

z = - 4

Substitute our z into either the first or second equation and solve for y (It doesnt matter which one you choose, I just did the second equation)

z + 2y = -4

(-4) + 2y = -4

2y = -4 + 4

2y = 0

y = 0

Substitute in our y and z values into the third equation and solve for x

-6x - 6y - 6z = -12

-6x - 6(0) - 6(-4) = -12

-6x - 0 + 24 = -12

-6x = -12 - 24

-6x = -36

x = -36/-6

x = 6

Answer:

x = 4, y = 4, z = 4

Step-by-step explanation:

Given the following systems of linear equations:

Equation 1:    x = 5z - 16

Equation 2 :  -4x + 4y - 5z = -20

Equation 3:    y = -z + 8

Using the substitution method, we could either use the value for x in Equation 1, or the value of y in Equation 3 to substitute in the other given equations.

Let's use Equation 3, and substitute the value of y = -z + 8 into Equation 2:

Equation 3:    y = -z + 8

Equation 2 :  -4x + 4y - 5z = -20

-4x + 4(-z + 8) - 5z = -20

-4x - 4z + 32 - 5z = -20

-4x - 9z + 32 = -20

Using Equation 1, substitute the value of x = 5z - 16 into the previous step:

Equation 1:    x = 5z - 16 into:

-4(5z - 16) - 9z + 32 = -20

-20z + 64 - 9z + 32 = -20

-29z + 96 = -20

Subtract 96 from both sides:

-29z + 96 - 96 = -20 - 96

-29z = -116

Divide both sides by -29:

\(\frac{-29z}{-29} = \frac{-116}{-29}\)

z = 4

Substitute the value of z = 4 into Equation 3:

Equation 3:    y = -z + 8

y = -(4) + 8

y = 4

Substitute the values of z into Equation 1 to solve for x:

Equation 1:    x = 5z - 16

x = 5(4) - 16

x = 20 - 16

x = 4

Therefore, x = 4, y = 4, and z = 4.

Substitute the values for x, y, and z into the given system to verify that their values are the solutions.

x = 4, y = 4, z = 4

Equation 1:    x = 5z - 16

4 = 5(4) - 16

4 = 20 - 16

4 = 4 (True statement).

Equation 2 :  -4x + 4y - 5z = -20

-4(4) + 4(4) - 5(4) = -20

-16 + 16 - 20 = - 20

0 - 20 = -20

-20 = -20 (True statement).

Equation 3:    y = -z + 8

y = -z + 8

4 = -(4) + 8

4 = -4 + 8

4 = 4 (True statement).

Answer:

The 99% confidence interval to estimate the mean breaking weight for this type cable is between 772.9 lb and 785.1 lb.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 46 - 1 = 45

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 45 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.99}{2} = 0.995\). So we have T = 2.69

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.69\frac{15.4}{\sqrt{46}} = 6.1\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 779 - 6.1 = 772.9 lb

The upper end of the interval is the sample mean added to M. So it is 779 + 6.1 = 785.1 lb

The 99% confidence interval to estimate the mean breaking weight for this type cable is between 772.9 lb and 785.1 lb.

Answer:

The equation for line k is \(y = -2x + 6\)

Step-by-step explanation:

The equation of a line has the following format:

\(y = mx + b\)

In which m is the slope.

When two lines are perpendicular, the multiplication of their slopes is -1.

The equation for line j can be written as y =1/2x-1

Since k is perpendicular to j, and the slope of j is 1/2, the slope of k is:

\(\frac{1}{2}m = -1\)

\(m = -2\)

So

\(y = -2x + b\)

It passes through the point (6,-6).

This means that when \(x = 6, y = -6\). So

\(y = -2x + b\)

\(-6 = -2(6) + b\)

\(b = 6\)

So

\(y = -2x + 6\)

Answer:

400

Step-by-step explanation:

To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.

Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).

Step 3: Add 1 to 0.0033333 to get 1.0033333.

Step 4: Raise 1.0033333 to the power of -120.

Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.

Step 6: Subtract the value obtained in Step 5 from 1.

1 - 0.742657 = 0.257343 (approximately).

Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.

It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.

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We have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

To prove that the Newton-Raphson method for solving the equation \(x^k e^x = 0\), where k is a constant, is given by the formula

\(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,\)

we can start by considering the iterative process of the Newton-Raphson method.

Given an initial guess \(x_n\), we want to find a better approximation \(x_{n+1}\)that is closer to the root of the equation \(x^k e^x = 0.\)

The Newton-Raphson method involves the following steps:

Calculate the function value \(f(x_n) = x_n^k e^x_n\) and its derivative \(f'(x_n) = k x_n^(k-1) e^x_n.\)

Find the next approximation x_{n+1} by using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Let's apply these steps to our equation \(x^k e^x = 0\):

Calculate the function value and its derivative:

\(f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n\)

Find the next approximation x_{n+1} using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Substituting the function value and its derivative:

\(x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)\)

Simplifying the expression by combining like terms:

\(x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n\)

Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

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Answer:

that they both have right angles and have a leath of 5

Step-by-step explanation:

The probability of those that favors building the health center is 0.196

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favorable Outcomes/Number of total outcomes.

In a recent survey, 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the health center.

According to the scenario, 70% of the community favoured in building a health centre.

Hence , p=0.7.

In order to find the probability, binomial theorem will be used as follows :

= 0.196

Hence, The probability is 0.196

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The scale factor of figure B to figure A is 1/2.

To find the scale factor of figure B to figure A, we need to determine how much the corresponding sides of the two figures have been multiplied or divided by.

Looking at the figures, we can see that the corresponding sides of figure B are half the length of the corresponding sides of figure A. For example, the length of side AB in figure A is twice the length of side AB' in figure B, and the length of side BC in figure A is twice the length of side B'C' in figure B.

Since the corresponding sides of figure B are half the length of the corresponding sides of figure A, the scale factor of figure B to figure A is 1:2 or 1/2.

Therefore, the scale factor of figure B to figure A is 1/2.

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Answer:

The answer is 91/10

Step-by-step explanation:

hope this helps

Solutions:

2 3/5÷2/7

13/5÷2/7

13/5×7/2

=13×7=91

=5×2=10

That's why the answer is 91/10

The cost of one plate is $4.30 and the cost of one cup is $2.00.

Let's assume the cost of one plate is p dollars and the cost of one cup is c dollars.

From the given information, we can set up two equations based on the total costs:

Equation 1: 5p + 4c = 26.30 (since 5 plates and 4 cups cost $26.30)

Equation 2: 6p + 5c = 32.00 (since 6 plates and 5 cups cost $32.00)

We have a system of two equations with two unknowns. We can solve this system of equations using various methods, such as substitution or elimination. Let's use the elimination method.

Multiply Equation 1 by 5 and Equation 2 by 4 to eliminate the variable "c" when we add the equations together:

25p + 20c = 131.50 (5 times Equation 1)

24p + 20c = 128.00 (4 times Equation 2)

Subtract Equation 2 from Equation 1:

25p - 24p = 131.50 - 128.00

p = 3.50

Now, substitute the value of p into Equation 1 to find the value of c:

5(3.50) + 4c = 26.30

17.50 + 4c = 26.30

4c = 26.30 - 17.50

4c = 8.80

c = 2.20

Therefore, the cost of one plate is $3.50 and the cost of one cup is $2.20.

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Answer:

3/5

Step-by-step explanation:

As tan is positive in third quadrant

Answer:1513

Step-by-step explanation:

             Add or multiply I will show you how I got 1513:

436+5=441

441+414=855

855+551=1306

1306+207=1513

The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).

To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).

Therefore, 3 yards is equal to 3 * 36 = 108 inches.

Now, we can compare 108 inches to 3 yards 16 inches.

108 inches is equal to 3 yards, so it matches the given length.

To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.

Therefore, 3 yards 16 inches is equivalent to:

3 yards

108 inches

3 yards 0.44 yards (or approximately 3.44 yards)

108 inches 0.44 yards (or approximately 108.44 inches)

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First, you have to line up the decimal places (it isn't multiplication or division).

  25.21

-  12.47

_______

12.74

25.21-12.47 = 12.74

Answer:

12.47

Step-by-step explanation:

Answer:

64 guarts of ice-cream

8/5 quarts of ice-cream = 1/4 cake

x guarts of ice-cream = 10 cakes

cross multiply and find x you'd get 64

The maximum value of z = 4x + y subject to the given constraints is 180, which occurs at x = 45 and y = 0.

To find the maximum value of z = 4x + y subject to the given constraints, we can use linear programming.

Graph the constraints:

First, we will graph the constraints to visualize the feasible region.

The constraint x + y ≤ 50 represents the region below the line x + y = 50:

The constraint 3x + y ≤ 90 represents the region below the line 3x + y = 90:

The feasible region is the shaded region that satisfies both constraints:

Identify the corner points of the feasible region:

The feasible region has four corner points: (0, 0), (0, 50), (30, 20), and (45, 0).

Evaluate z at each corner point:

z(0, 0) = 4(0) + 0 = 0

z(0, 50) = 4(0) + 50 = 50

z(30, 20) = 4(30) + 20 = 140

z(45, 0) = 4(45) + 0 = 180

Compare the values of z at the corner points:

The largest value of z is 180, which occurs at the corner point (45, 0).

Therefore, the maximum value of z = 4x + y subject to the given constraints is 180, which occurs at x = 45 and y = 0.

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Answer:

Step-by-step explanation:

yes at (1,3).

Step-by-step explanation:

Question 1

so, we need points or segments of AB that have 12 or less ft distance to point C.

that means we need to draw a circle with center in C and with radius 12 ft, and find the intersections with the line.

the regular equating for a circle is

(x - h)² + (y - k)² = r²

with (h, k) being the center of the circle.

so, our circle is

(x - 9)² + (y + 5)² = 12²

the line is in slope-intercept form

y = ax + b

a being the slope, which is the ratio (y coordinate difference / x coordinate difference) between 2 points on the line.

from (-4. -2) to (3, 5)

x changes by +7 (from -4 to 3).

y changes by +7 (from -2 to 5).

the slope (a) is +7/+7 = 1

b we can see on the graph (0, 2) or we can get it by using the coordinates of one of the points in the almost finished equation :

5 = 1×3 + b

b = 2

our line is therefore

y = x + 2

now we use this in the circle equation

(x - 9)² + ((x + 2) + 5)² = 144

(x - 9)² + (x + 7)² = 144

x² - 18x + 81 + x² + 14x + 49 = 144

2x² - 4x + 130 = 144

2x² - 4x - 14 =0

x² - 2x - 7 = 0

the general solution for such a quadratic equation

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case this is

x = (2 ± sqrt((-2)² - 4×1×-7))/(2×1) =

= (2 ± sqrt(4 + 28))/2 =

= (2 ± sqrt(32))/2 =

= (2 ± sqrt(16×2))/2 =

= (2 ± 4×sqrt(2))/2 = 1 ± 2×sqrt(2)

x1 = 1 + 2×sqrt(2) = 3.828427125...

x2 = 1 - 2×sqrt(2) = -1.828427125...

the corresponding y values for these intersection points on the line are

y1 = x1 + 2 = 3 + 2×sqrt(2) = 5.828427125...

y2 = x2 + 2 = 3 - 2×sqrt(2) = 0.171572875...

but (x1, y1) are even beyond David's possibilities for movement, so (3, 5) cuts that segment on the line off.

so, yes, she can hit him between the points

(-1.828427125..., 0.171572875...)

and

(3, 5)

Answer: At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0

HOPE THIS HELPS

Answer:

The 16 ounces at 1.76.

Step-by-step explanation:

Divide total cost by the quantity to get cost per unit.

Ounces Cost Cost/Ounce

60      5.40          0.09  

28      2.24          0.08  

16       1.76           0.11  

Answer:

\(\sqrt[3]{4}\times (\sqrt[3]{16}-10 )\)

Step-by-step explanation:

Let be \(\sqrt[3]{64}-\sqrt[3]{32} \times \sqrt[3]{125}\), this expression is simplified as follows:

1) \(\sqrt[3]{64}-\sqrt[3]{32} \times \sqrt[3]{125}\) Given

2) \(\sqrt[3]{4^{3}}-\sqrt[3]{2^{5}}\times \sqrt[3]{5^{3}}\) Definition of power

3) \((4^{3})^{1/3}-(2^{2}\cdot 2^{3})^{1/3}\times (5^{3})^{1/3}\) Definition of n-th root/\(a^{b+c}= a^{b}\cdot a^{c}\)/\((a^{b})^{c} = a^{b\cdot c}\)

4) \(4 - (2^{2})^{1/3}\times 2\times 5\) \(a^{b+c}= a^{b}\cdot a^{c}\)/\((a\cdot b)^{c} = a^{c}\cdot b^{c}\)

5) \(4 - 10\times 4^{1/3}\) Multiplication/Definition of power

6) \(4^{1/3}\cdot (4^{2/3}-10)\) Distributive property/\(a^{b+c}= a^{b}\cdot a^{c}\)

7) \(\sqrt[3]{4}\times [(4^{2})^{1/3}-10]\) \((a^{b})^{c} = a^{b\cdot c}\)/Definition of n-th root

8) \(\sqrt[3]{4}\times (\sqrt[3]{16}-10 )\) Definition of power/Result

Hey there!

\(Answer: \boxed{4\frac{1}{6}}\)

\(Explanation:\)

Simplify to solve.

\(\boxed{4\frac{1}{6}\text{ is your answer.}}\)

Hope this helps!

\(\text{-TestedHyperr}\)

\( \: \: \: \: \: \texttt{34.59 + \boxed{\texttt\red{102.336}}} \\ \texttt{ = 136.926}\)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps:)