In circle F with mZEFG = 70 and EF = 19 units, find the length
of arc EG. Round to the nearest hundredth.
E
F
G

well, the interest is going to be the increase factor on both cases, so we can simply check how much each will accumulate to in those 4 years

\(~~~~~~ \stackrel{\textit{\LARGE University Bank}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases}\)

\(A = 4000\left(1+\frac{0.05}{4}\right)^{4\cdot 4} \implies A=4000(1.0125)^{16}\implies \boxed{A \approx 4879.56} \\\\[-0.35em] ~\dotfill\)

\(~~~~~~ \stackrel{\textit{\LARGE Rosemont Savings Bank}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus two} \end{array}\dotfill &2\\ t=years\dotfill &4 \end{cases}\)

\(A = 4000\left(1+\frac{0.055}{2}\right)^{2\cdot 4} \implies A=4000(1.0275)^8\implies \boxed{A \approx 4969.52} ~~ \textit{\LARGE \checkmark}\)

If for every amount of $d , $0.20d is tipped, then for amount of $56, $11.6 will be tipped to the waiter

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.

If for every $d , $0.20d is tipped, then this means that the total amount spent is $56 and the amount Anthony's family tip the waiter is calculated as:

0.2 × 56

= $11.6

Therefore the waiter was tipped $11.6

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Answer:

A dinner bill of d dollars calls for a tip of 0.20d dollars. You want to find how much the family tipped the waiter for a bill of d=$56.

Evaluate the expression 0.20d for d=56.

0.20d

=

0.20(56)

=

11.2

The family tipped the waiter $11.20.

The disadvantages of the mode are: For many sets of data there is no mode.

The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.

However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.

The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.

The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.

The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.

The correct option is: For many sets of data there is no mode.

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Rami's glass is fuller than Will's glass by 1/8

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

Rami's glass is 1/2 full. Will's glass is 3/8 full.

Convert the fractions to decimal

This gives

Rami's glass is 0.5 full. Will's glass is 0.375 full.

0.5 is greater than 0.375

So, Rami's glass is fuller

To do this, we calculate the difference

So, we have

Difference = 0.5 - 0.375

Evaluate

Difference = 0.125

Rewrite as

Difference = 1/8

Hence, it is 1/8 fuller

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Answer:

I also believe it is -4.9 but I may be mistaken

Step-by-step explanation:

Answer:

  (d)  180° clockwise rotation

Step-by-step explanation:

Given points A(-2, -7), B(3, -2), C(2, -10) and A'(2, 7), B'(-3, 2), C'(-2, 10), you want to know the angle and direction that rotates ∆ABC to ∆A'B'C'.

We notice the signs of each of the coordinates of ABC have been reversed for the coordinates A'B'C'. For example, A(-2, -7) became A'(2, 7).

A line joining these points is a straight line through the origin. The measure of its angle at the origin is 180°. This is the angle of rotation of A'B'C' with respect to ABC.

The image is created by 180° clockwise rotation, choice D.

__

Additional comment

When rotation is 180°, the direction is immaterial. A clockwise rotation gets you to the same place as a counterclockwise rotation.

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Answer: The one that starts with (-4,10)

Step-by-step explanation:

Linear means that the numbers are going up at a constant rate. It means, that the y will go up corrosponding x.

1) Linear

X goes up 2 per 4 y

2)  Linear

X goes up 1 per 3y

3)  Linear

X goes up 2 per 4y

4) Not Linear

X goes up 2 per Unequal growth y.

You can tell because it goes up by +5 until the last where it goes up +7

Answer:

Step-by-step explanation:

Answer:

She is wrong

Step-by-step explanation:

Bacause it can't feet according to the area given

The tiles are bigger

Answer:

\(\mathrm{Sum\:of\:Exterior\:Angle\:\ne \:Interior\:Angle}\:\\\\132^\circ\ne135^\circ\)

Step-by-step explanation:

The exterior angle two figures on the left (hexagon and pentagon) sums up to  \(132^\circ\). The interior angle of figure on the right must be equal to this sum to fit in. The interior angle of an octagon is \(135^\circ\).

So, it is not possible to fit the octagon in the combination of other two tiles.

Regards: Umer

Answer:

The answer is

Step-by-step explanation:

PT 4x+9

TQ 6x-5

PT 13x

TQ 1x

The value of PT is 13 x

The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.

To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.

The equation is:

X^2/2 - 8 = 2X - 2

To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:

X^2 - 16 = 4X - 4

Next, we rearrange the equation to have all terms on one side:

X^2 - 4X - 12 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:

(X - 6)(X + 2) = 0

Setting each factor equal to zero gives us two possible solutions:

X - 6 = 0 --> X = 6

X + 2 = 0 --> X = -2

So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.

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Answer:

x = 3/4 + √7i/4

x = 3/4 - √7i/4

Step-by-step explanation:

2x² + 2 = 3x

Subtract 3x from both sides so it equals 0:

2x² - 3x + 2 = 0

Divide both sides by 2:

x² - 3/2x + 1 = 0

Subtract 1 from both sides:

x² - 3/2x = -1

Take -3/2 and multiply it by 1/2 then square it:

(-3/2 • 1/2)²

9/16

Add this to both sides:

x² - 3/2x + 9/16 = -1 + 9/16

Rewrite the perfect square on the left and add the terms on the right:

(x - 3/4)² = -7/16

Square root both sides to get rid of the square:

x - 3/4 = ± √-7/16

Simplify the radical:

x - 3/4 = ± √7i/4

Add 3/4 to both sides:

x = 3/4 ± √7i/4

Your two solutions are:

x = 3/4 + √7i/4

x = 3/4 - √7i/4

You can also convert to decimal if you need to (but I don’t recommend it):

x = 0.75 + 0.661438i

x = 0.75 - 0.661438i

Hope this helps!

Answer:

1 Its all about there favorite fruits

2 the favorite fruits of the girls are buko less than the boys.

3 the least fruit favorite fruits is pineapple among the girls boys.

4 the top choice of the fruit is the lansones both girls and boys.

5 the rambutan is the least favorite both of them

Step-by-step explanation:

Hope its help po pa brainlest

Answer:

girl

-apple

-masanas

boy

-lansones

-rambotan

sorry yan lang alam ko

Let the bigger number be x.

x- 37976 = 48698

x= 48698 + 37976 = 86674

Answer:

Let the bigger number be x.

x- 37976 = 48698

x= 48698 + 37976 = 86674

Step-by-step explanation:

Answer:

330

Step-by-step explanation:

The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

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Answer:

$8348.2

I hope this helps u :)

Step-by-step explanation:

The measure of the length EF of the triangle is; 21

We are given the the triangle BCD and we are told that;

E is the midpoint of BD.

F is the midpoint of CD

Now, since we have those midpoints, it means that by the concept of similar triangles, that;

DF/DC = EF/BC

Since F is the midpoint of DC, then it means that;

2DF = DC

We are given;

EF = 43 - 4x, and BC = 32 - 2x

Thus, we now have;

DF/(2DF) = (43 - 4x)/(32 - 2x)

1/2 = (43 - 4x)/(32 - 2x)

Cross multiply to get;

32 - 2x = 43 - 4x

4x - 2x = 43 - 32

2x = 11

x = 11/2

x = 5.5

Thus;

EF = 43 - 4(5.5)

EF = 43 - 22

EF = 21

Thus, we conclude that the side length EF is 21.

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Answer:

33 m^2

Step-by-step explanation:

Since the area of a kite can be found by h1*b1 + h2*b2, the area is

3 * 1 + 3 * 10 = 33 m^2

Answer: x - 7/3

Step-by-step explanation:

I think thats the farthest you can go with this problem

Answer:

Let's simplify step-by-step.

3x−7^3

=3x−343

Step-by-step explanation:

Answer:the answer is 9,6

Step-by-step explanation:

I JUST TOOK THE QUIZ

Answer:

C (9,6) did it on edge

Answer:In a bowl add raw mango, spinach, onion, prepared masala, salt, turmeric powder, asafoetida.

The volume of the bottle is 56.52 cubic inches, and the density is 22.12 g/in³.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 ).

Density is expressed mathematically as;

p = m / v

Where m is mass and v is volume.

Given that:

Diameter = 3 in

Radius r = diameter/2 = 3/2 = 1.5 in

Height h = 8 in

Mass m = 1250 g

Find the volume:

V = π × r² × h

V = 3.14 × (1.5 in )² × 8in

V = 56.52 in³

Find the density:

p = m / v

p = 1250g / 56.52 in³

p = 22.12 g/in³

Therefore, the density is 22.12 g/in³.

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This means that for every 1 sheep on the farm, there are 0.25 horses. To find the total number of horses, we can multiply the number of sheep by 0.25:

\(12 * 0.25 = 3\)

Ratio refers to the quantitative relationship between two or more quantities, expressing the proportion of one quantity to the other(s). It is typically expressed as a fraction, where the numerator represents one quantity, and the denominator represents the other quantity.

For example, the ratio of the number of boys to the number of girls in a class of 30 students might be expressed as 2:3, which means there are 20 girls and 10 boys in the class. Similarly, the ratio of the length to the width of a rectangle might be expressed as 4:3, indicating that the length is four times greater than the width.

The ratio of sheep to horses is 4:1, which means that for every 4 sheep on the farm, there is 1 horse. We can also say that the total ratio of sheep and horses on the farm is 4+1=5.

To express the relationship between the chickens and the sheep, we need to use the fact that there are 32 chickens and 12 sheep on the farm. We can write this as a ratio:

\(chickens : sheep = 32 : 12\)

We can simplify this ratio by dividing both sides by 4:

\(chickens: sheep = 8: 3\)

This means that for every 8 chickens on the farm, there are 3 sheep.

To determine the number of horses on the farm, we can use the fact that the total ratio of sheep and horses is 5. We know that the ratio of sheep to horses is 4:1, so we can write:

\(sheep : horses = 4 : 1\)

We can simplify this ratio by dividing both sides by 4:

\(sheep : horses = 1 : 0.25\)

This means that for every 1 sheep on the farm, there are 0.25 horses. To find the total number of horses, we can multiply the number of sheep by 0.25:

\(12 * 0.25 = 3\)

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To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.

Step 1: Convert the mixed number to an improper fraction:

7 5/6 = (6 * 7 + 5) / 6 = 47/6

Step 2: Multiply the improper fraction by the reciprocal of the fraction:

47/6 ÷ 2/3 = 47/6 * 3/2

Step 3: Simplify the fraction if possible:

47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12

Step 4: Simplify the fraction further, if necessary:

141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4

Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.

Answer:

Step-by-step explanation:

Given

Rearranging the ratios:

Comparing the values of y:

20.49 trillion is 412.25% larger than 4.00 trillion.

To calculate the percentage increase of a value from an initial value to a final value, you can use the following formula:

increase in percentage = ((final value - initial value) / initial value) x 100%

Percentage increase is useful in a variety of contexts, including: Finance, Sales, Economics, Science, Education. Percentage increase is a useful tool for measuring growth or change over time and comparing different values.

To find the percentage increase, we first need to calculate the difference between the two numbers:

20.49 trillion - 4.00 trillion = 16.49 trillion

Next, we can divide the difference by the original amount (4.00 trillion) and multiply by 100 to get the percentage increase:

(16.49 trillion / 4.00 trillion) * 100 = 412.25%

Therefore, 20.49 trillion is 412.25% larger than 4.00 trillion.

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The equilibrium point for the market is (102.54, 351.81).

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, a group of retailers will buy 104 televisions from a wholesaler if the price is $350 and 144 if the price is $300.

Here, (104, 350) and (144, 300)

Now, slope (m)=(300-350)/(144-104)

= -50/40

= -1.25

Substitute m=-1.25 and (x, y)=(104, 350) in y=mx+c, we get

350=-1.25(104)+c

350=-130+c

c=480

Substitute m=-1.25 and c=480 in y=mx+c, we get

y= -1.25x+480

The wholesaler is willing to supply 68 if the price is $300 and 148 if the price is $390.

The coordinate points are (68, 300) and (148, 390)

Slope (m)= (390-300)/(148-68)

= 90/60

= 3/2

= 1.5

Substitute m=1.5 and (x, y)=(68, 300) in y=mx+c, we get

300=1.5×68+c

c=198

Substitute m=1.5 and c=198 in y=mx+c, we get

y=1.5x+198

So, the solution is (102.54, 351.81)

Therefore, the equilibrium point for the market is (102.54, 351.81).

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The graph which best represents the new function is: Y. a linear function on a coordinate plane that passes through (1, 3), (0, 0), and (-1, -3).

First of all, we would determine the slope of the linear function as follows:

\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\\\\Slope, m = \frac{2\;-\;3}{0\;-\;(-3)}\)

Slope, m = -⅓.

Multiplying by -9, the new slope is:

Slope = -⅓ × -9

Slope = 3.

For the equation of this line, we have:

y - y₁ = m(x - x₁)

y - 3 = -⅓(x - (-3))

y - 3 = -⅓x - 1

y = -⅓x - 1 + 3

y = -⅓x + 2

Increasing the y-value by 2, we have:

y + 2= -⅓x + 2

y = -⅓x + 2 - 2

y = -⅓x.

Therefore, we would have a linear function on a coordinate plane that passes through (1, 3), (0, 0), and (-1, -3).

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