What fraction is shown on the ruler below?

Pls help

Answer:

Each tank holds 4.33 gallons of water.

The temperature of the soda after 20 minutes is approximately -18 degrees Celsius. To find the initial temperature of the soda, we can evaluate the function T(x) at x = 0.

Substitute x = 0 into the function T(x):

T(0) = -19 + 39e^(-0.45*0).

Simplify the expression:

T(0) = -19 + 39e^0.

Since e^0 equals 1, the expression simplifies to:

T(0) = -19 + 39.

Calculate the sum:

T(0) = 20.

Therefore, the initial temperature of the soda is 20 degrees Celsius.

To find the temperature of the soda after 20 minutes, we substitute x = 20 into the function T(x):

Substitute x = 20 into the function T(x):

T(20) = -19 + 39e^(-0.45*20).

Simplify the expression:

T(20) = -19 + 39e^(-9).

Use a calculator to evaluate the exponential term:

T(20) = -19 + 39 * 0.00012341.

Calculate the sum:

T(20) ≈ -19 + 0.00480599.

Round the answer to the nearest degree:

T(20) ≈ -19 + 1.

Therefore, the temperature of the soda after 20 minutes is approximately -18 degrees Celsius.

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INCOMPLETE QUESTION

A can of soda is placed inside a cooler. As the soda cools, its temperature Tx in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)= -19 +39e-0.45x. Find the initial temperature of the soda and its temperature after 20 minutes. Round your answers to the nearest degree as necessary.

Answer:

x=7

Step-by-step explanation:

add 7 to both sides

9x=5x+28

subtract 5x from both sides

4x=28

divide both sides by 4

x=7

Answer:

X=7

Step-by-step explanation:

So first you want x on one side so you so subtract 5x from both sides

Then your equation is 4x-7=21

Because you want x by itself, you add 7 to each side because of additive inverse

The equation is now 4x=28

The last step is to divide 4 from each side and that leaves us with 7

x=7

Answer:

the area is 289

Step-by-step explanation:

the formula for calculating the perimeter of a square is the side*4

68/4=17

the formula for calculating tha area is side*side

17*17=289

Answer:

The y-intercept is (0,-6)

Step-by-step explanation:

In the equation y = mx + b, b is the y-intercept. In your equation, the b is -6, so the y-intercept is (0,-6).

Answer:

Y-intercept: (0, -6)

Step-by-step explanation:

We have to determine the "y-intercept" in the equation.

The equation is written out in slope-intercept form: y = mx + b

The "b" variable would be our y-intercept, or beginning point.

In the y = -1/2x-6​ equation, you would see that the "-6" is in place of the "b" variable.

Therefore, the y-intercept of the line would be (0, -6).

200 times 40000 is 8000000.

       200

x 40000

---------------

8000000

Answer: 8,000,000

Step 1: Multiply by smaller parts.

2 x 4 = 8

Step 2: Add all the zeros.

8,000,000

Answer = 8,000,000

Hope this helps!

The quadratic equation whose graph is shown is -1 (x+2)² + 15.

A quadratic function f in vertex form is written as

f(x) = a(x - h)² + k

where h and k are the x and y coordinates respectively of the vertex (minimum or maximum) point of the graph.

The graph of of f is a parabola with the vertical line x = h as an axis of symmetry.

The vertex of the graph of function g is a maximum point located at (h , k) = (-2,15). Hence function f in vertex form is written as

f(x) = a(x - h)² + k = a[(x -(-2)]² + 15

f(x) = a(x + 2)²+15

f(x) = a( x² + 4 + 4x) + 15

Coefficient a will now be found using the point (0,11) that is on the graph of f.

f(x) = a(0+2)² + 15 = 11

f(x) = 4a+15 = 11

   4a + 15 = 11

   4a = 11 - 15

   4a = -4

     a = -\(\frac{4}{4}\)

     a = -1

So, the function is

                           f(x) = -1 (x + 2)² + 15

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The equation of the down-facing parabola in the form of f(x) = a(x-h)² + k, where the vertex is (-2, 15) and the y-intercept is 11, is: f(x) = -(x + 2)² + 15.

Given is down facing parabola, with y-intercept = 11 and the vertex is (-2, 15).

We need to write the equation of the parabola in the form of f(x) a(x-h)²+k.

To write the equation of the given down-facing parabola in the form of f(x) = a(x-h)² + k, where (h, k) represents the vertex of the parabola, we can follow these steps:

1. The vertex form of a parabola equation is given by f(x) = a(x-h)² + k, where (h, k) represents the coordinates of the vertex.

2. Given that the vertex of the parabola is (-2, 15), we can substitute the values of h and k into the equation:

f(x) = a(x - (-2))² + 15

3. Simplify the equation:

f(x) = a(x + 2)² + 15

4. We are also given that the y-intercept of the parabola is 11. The y-intercept is the point where the parabola intersects the y-axis, which occurs when x = 0.

Substituting x = 0 and y = 11 into the equation, we get:

11 = a(0 + 2)² + 15

11 = a(2)² + 15

11 = 4a + 15

Solve the equation for a:

4a + 15 = 11

4a = 11 - 15

4a = -4

a = -1

Substitute the value of a back into the equation:

f(x) = -1(x + 2)² + 15

Therefore, the equation of the down-facing parabola is: f(x) = -(x + 2)² + 15.

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Answer:

The expression (8-i)/(2+i) in standard form is, 3 - 2i

Step-by-step explanation:

The expression is,

(8-i)/(2+i)

writing in standard form,

\((8-i)/(2+i)\\\)

Multiplying and dividing by 2+i,

\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)

Hence we get, in standard form, 3 - 2i

The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.

The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:

(8-i)/(2+i) * (2-i)/(2-i)

Using the distributive property, we can expand the numerator and denominator:

(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))

Simplifying further:

(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)

Since i^2 is equal to -1, we can substitute -1 for i^2:

(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))

Combining like terms:

(15 - 10i) / (3 + 4i)

Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

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Answer:

pi r^2 h/3, height =6, r=10, 100*6=600pi/3=200pi

Answer:the value of AC is 15

1,005.44

Pir^2h

3.142*8*8*5

1,005.44

Answer:

1/4

Step-by-step explanation:

someone said 1/4 when I searched this question up so it may be correct

An annuity is a financial product in which the buyer deposits a sum of money in exchange for a series of payments to be made at regular intervals. These payments are usually made over a specified period of time or for the remainder of the annuitant's life.

An annuity that pays a fixed amount for a specified period of time is known as an ordinary annuity. A typical example of an ordinary annuity is a retirement fund, where a worker makes regular contributions to an investment account over the course of their career, and then receives regular payments from the fund after retirement.

Given that quarterly deposits of $800 are made for 6 years into an annuity that pays 8.5% compounded quarterly, the rate per period (i) and the number of periods (n) can be calculated as follows:

Firstly, we need to calculate the effective quarterly interest rate. The effective quarterly interest rate is calculated using the formula:

i = (1 + r/n)ⁿ - 1

Where:
r = annual interest rate = 8.5%
n = number of compounding periods per year = 4 (quarterly)
i = effective quarterly interest rate

Substituting the given values, we have:

i = (1 + 0.085/4)⁴ - 1
i = 0.0206 or 2.06%

Therefore, the rate per period (i) is 2.06%.

To calculate the number of periods (n), we need to convert the 6-year term into quarterly periods. Since there are 4 quarters in a year, the number of periods will be:

n = 6 x 4 = 24 quarters

Therefore, the number of periods (n) is 24.

Hence, i = 2.06% and n = 24.

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Answer:

77777

Step-by-step explanation:

In this case, the vertex is the lowest point of the V shaped curve.

The goal is to get the stuff inside the absolute value (the 2x-5) to be as small as possible, so we can get to the lowest point. In terms of absolute value, we want the 2x-5 to be equal to 0

This allows us to set up the equation below and solve for x.

2x-5 = 0

2x = 5

x = 5/2

x = (4+1)/2

x = 4/2 + 1/2

x = 2 + 1/2

x = 2 & 1/2

Let me know if this clears things up or not.

We can conclude that with 99% confidence, the true population mean energy cost per year falls between $13.38 and $19.62.

A report in a magazine contains information on energy costs per year for 32-inch liquid crystal display (LCD) televisions. According to the report, a sample of 14 randomly selected 32-inch LCD televisions have a sample standard deviation of $3.90. Using a 99% level of confidence, the confidence interval for the true population mean energy cost per year can be calculated. A 99% level of confidence indicates that there is only a 1% chance that the true population mean energy cost per year falls outside the interval.Confidence Interval for Mean = $\bar{X}±t_{\frac{\alpha}{2},n-1}\frac{S}{\sqrt{n}}$Where, $\bar{X}$ is the sample mean,S is the sample standard deviation,n is the sample size,t is the critical value of t-distributionα is the level of significancet= 3.71 (using t-distribution table for 99% level of confidence with n - 1 degrees of freedom)Mean = $16.50 ± 3.71 × \frac{3.90}{\sqrt{14}}$=$16.50 ± 3.12$The 99% confidence interval for the true population mean energy cost per year is (13.38, 19.62). Therefore, we can conclude that with 99% confidence, the true population mean energy cost per year falls between $13.38 and $19.62.

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Answer:

It's the third one from left to right : x/2 + 2 = 3

Answer: 4/25

Step-by-step explanation:

\((\frac{2}{5}) ^2=\frac{2}{5}\times\frac{2}{5}=\large\boxed{\frac{4}{25} }\)

The appropriate regression model depends on the stationarity properties of both the dependent and independent variables, as well as the error term. The researcher can use a standard OLS regression model with first-order differencing of both Y and X.

In the first scenario, both Y and X are I(0), which means they are stationary time series. In this case, the researcher can perform a standard linear regression analysis, as the stationary series would lead to a stable long-run relationship. The answer from this model will be reliable and less likely to suffer from spurious regressions. In the second scenario, Y is I(2) and X is I(0). This implies that Y is integrated of order 2 and X is stationary. In this case, the researcher should first difference Y twice to make it stationary before performing a regression analysis. However, this approach might not be ideal as the integration orders differ, which can lead to biased results.

In the third scenario, Y and X are both I(1) and the error term is I(0). This indicates that both Y and X are non-stationary time series, but their combination might be stationary. The researcher should employ a co-integration analysis, such as the Engle-Granger method or Johansen test, to identify if there is a stable long-run relationship between Y and X. If co-integration is found, then an error correction model can be used for more accurate predictions.

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Based on the provided information, the area of the polygon is 34.5 units². (Option B)

The area of the polygon can be found using the Shoelace Formula, which is:

Area = 1/2 |(x1y2 + x2y3 + ... + xn-1yn + xny1) - (y1x2 + y2x3 + ... + yn-1xn + ynx1)|

Where (x1,y1), (x2,y2), ..., (xn,yn) are the coordinates of the vertices of the polygon.

Plugging in the given coordinates into the formula, we get:

Area = 1/2 |((-6)(1) + (-5)(4) + (-1)(1) + (1)(3) + (5)(-2) + (1)(-2)) - ((-2)(-5) + (1)(-1) + (4)(1) + (1)(5) + (3)(1) + (-2)(-6))|

Area = 1/2 |(-6 - 20 - 1 + 3 - 10 - 2) - (10 - 1 + 4 + 5 + 3 + 12)|

Area = 1/2 |(-36) - (33)|

Area = 1/2 |(-69)|

Area = 1/2 (69)

Area = 34.5 units²

Therefore, the area of the polygon is 34.5 units². (Option B)

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Answer:

Step-by-step explanation:

Answer:

9 gallons

Step-by-step explanation:

2/46 = 0.04347826086 gallon per mile

0.04347826086 x 207 miles =

9 gallons

The closest option is D. $-0

To determine the gain or loss on the repurchase of stock, we need to compare the repurchase price with the original sale price.

Original sale price: 500,000 shares * $50 per share = $25,000,000

Repurchase price: 12,000 shares * $40 per share = $480,000

To calculate the gain or loss, we subtract the repurchase price from the original sale price:

Gain or Loss = Original Sale Price - Repurchase Price

            = $25,000,000 - $480,000

            = $24,520,000

Since the result is a positive value, it represents a gain. Therefore, the company will recognize a gain of $24,520,000 on its income statement.

The given options do not include this exact amount, so the closest option is D. $-0-. However, it is important to note that the gain is not zero but rather $24,520,000.

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Step-by-step explanation:

-4x - 2y = 18

+ (4x - 4y = -36)

=> -6y = -18, y = 3

As we added the equations together, we have eliminated x and found y.

Hence the correct answer is "Add to eliminate x".

Answer:

2 and 3/4

11/4

Step-by-step explanation:

an improper fraction is any fraction with a numerator bigger then the denominator.

a mixed number is the "proper" version of an improper fraction.

the fraction 11/4 as a mixed number is 2 and 3/4.

to make an improper fraction a mixed number, find out how many times the denominator goes into the numerator. whatever you have left that didn't make 1 whole, turns into the fraction .

hope this helped

Answer:

A

-2 < x ≤ 3 (All x values between -2 and 3; excluding -2 and including 3)

Step-by-step explanation:

I feel the answer is A because from what we know, domain is the x-intercept or x. So both C and D are not the answer because the y-intercept is not the domain, the y-intercept is the range. Next I looked at both A and B, well, if you look closely answer choice A says "excluding -2 and including 3" and choice B says "including -2 and excluding 3". I also seen on the graph that the point of (3,3) has a filled in dot and the point at (-2,-1) has an opened dot. A filled in dot always means you either have a ≥ (greater than or equal to sign) or a ≤ (less than or equal to sign). While an opened dot always means you just have < (greater than) or a > (less than) sign. So the correct answer is A!! Hope you have a fantastic rest of your day! :)))

Using substitution method, the cost of hotel per night is $ 85

Let hotel cost per night = x

Let car rental per day = y

4x + 2y = 500 ____(1)

4x + 5y = 740 ____(2)

Solving for x in the equation

Equation (1) - (2)

-3y = - 240

y = 80

Substitute the value of y in (1)

4x + 2(80) = 500

4x + 160 = 500

4x = 500-160

4x = 340

x = $85

Therefore, hotel cost per night is $85

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Answer:

7/3

Step-by-step explanation:

12x - 15 = 6 - 3x

=> 12x + 3x =  6 + 15

=> 15x = 21

=> x = 21/15

=> x = 7/3

Answer:

C is the correct answer