Find the length of side x in simplest radical from with a rational denominator.​

The average rate of change per hour in the temperature is 0.83 degrees.

To find the average rate of change per hour, we need to divide the total change in temperature by the number of hours over which the temperature changed.

The temperature rose by 5 degrees from 6:00 am to 12:00 pm, which is a period of 6 hours.

Therefore, the average rate of change per hour can be calculated as follows:

average rate of change per hour = total change in temperature / number of hours

So, we have

average rate of change per hour = 5 degrees / 6 hours

average rate of change per hour = 0.83 degrees/hour (rounded to two decimal places)

So, the average rate of change per hour is 0.83 degrees.

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Answer:

\(1\)

Step-by-step explanation:

\(9 - b = 9 - 8 = 1\)

Hope this helps ;)❤❤❤

Capacitors are \(C1 = 4μF C2 = 3μF C3 = 5μF C4 = 2μ F\)and Battery supplied \(ε = 12 V\) ,We are supposed to find the equivalent capacitance across the battery and Charge stored in each capacitor in the circuit.

First let us calculate the equivalent capacitance of the circuit using formula
Equation 1: \(Ceq = C1 + C2 + C3 + C4= 4 + 3 + 5 + 2 = 14μF\)

To find the charge stored in each capacitor, we have to find the total charge in the circuit. The total charge is given by the formula
Equation 2:\(Q = Ceq * ε= 14 * 12 = 168μC\)
Charge in Capacitor 1\(:C1 = 4μFQ1 = C1 * ε / Ceq= 4 * 12 / 14= 48/14 μCC1 = 24/7 μF\)
Charge in Capacitor 2:\(C2 = 3μFQ2 = C2 * ε / Ceq= 3 * 12 / 14= 36/7 μFC2 = 18/7 μF\)
Charge in Capacitor 3:\(C3 = 5μFQ3 = C3 * ε / Ceq= 5 * 12 / 14= 60/7 μFC3 = 30/7 μF\)
Charge in Capacitor 4:\(C4 = 2μFQ4 = C4 * ε / Ceq= 2 * 12 / 14= 24/7 μFC4 = 12/7 μF\)

Thus, we have calculated the equivalent capacitance across the battery and charge stored in each capacitor in the circuit.

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Answer:

Step-by-step explanation:

1. 10^2+7^2=x^2

x=sqrt(149)

2. 21^2-19^2=x^2

x=sqrt(80)

3. This is all pythagorean theorem busywork, a^2+b^2=c^2 where c is the hypotenuse of the triangle.  I think from my examples you should be able to figure the rest out.

Answer:

25.

SEE THE IMAGE FOR SOLUTION

Answer:

=169x

Step-by-step explanation:

I hope this helps you

The true proportion of dead but still standing trees in a large forest is estimated by the confidence interval (0.14,0.20) with a certain confidence level. Later, the sample proportion was revised from the incorrect value to the correct value of 0.27.

The question is asking which statement is true regarding the revised interval based on the correct sample proportion.

The correct revised interval based on the new sample proportion cannot be determined from the information given. In order to calculate a new confidence interval based on the correct sample proportion, we would need to know the sample size or the margin of error of the original interval. Without this information, we cannot determine the new interval with any certainty. However, we can say that the new interval will be different from the original interval because the sample proportion has changed.

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The test statistic for a sample with correlation coefficient r = 0.5 and sample size n = 30 is 3.06.

To test whether a correlation is significant, we need to calculate the test statistic using the correlation coefficient (r) and the sample size (n). The formula for the test statistic is:

t = r * sqrt(n-2) / sqrt(1-r^2)
Here, r is the correlation coefficient (0.5) and n is the sample size (30).
Plugging in the given values of r = 0.5 and n = 30, we get:

t = 0.5 * √((30 - 2) / (1 - 0.5^2))
t = 0.5 * √(28 / 0.75)
t = 0.5 * √(37.33)
t = 0.5 * 6.11
t ≈ 3.06

Thus, the test statistic for this sample is approximately 3.06. To determine whether the correlation is significant, we would need to compare this test statistic to a critical value from a t-distribution with n-2 degrees of freedom at the desired significance level.

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The scientist should use 90 ounces of solution A and 90 ounces of solution B to obtain a 180-ounce mixture that is 55% salt.

Let's assume the scientist uses x ounces of solution A and (180 - x) ounces of solution B.

Since solution A is 40% salt, the amount of salt in solution A would be 0.40x ounces.

Similarly, since solution B is 90% salt, the amount of salt in solution B would be 0.90(180 - x) ounces.

To obtain a mixture that is 55% salt, the total amount of salt in the mixture should be 0.55(180) ounces.

Therefore, we can set up the equation:

0.40x + 0.90(180 - x) = 0.55(180).

Simplifying the equation, we get

0.40x + 162 - 0.90x = 99.

Subtracting 162 from both sides and combining like terms, we have -0.50x = -63.

Dividing both sides by -0.50 gives

x = 126.

Thus, the scientist should use 126 ounces of solution A (40% salt) and (180 - 126) = 54 ounces of solution B (90% salt) to obtain a 180-ounce mixture that is 55% salt.

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Answer:

66

Step-by-step explanation:

Answer:

Kind of a guess bc there are lots of words that would work but how about "test"?

Step-by-step explanation:

Answer:

Math and Science

Step-by-step explanation:

Inorder to find the average, you add up all the scores and divide it by 4.

Math average: 85%

Reading: 76.75%

Science: 83%

Spanish: 76.75%

Hoped it helped!

Answer:  

$4.09

Step-by-step explanation:

14.20+6% of 14.20 = 15.05
118% of 15.05= 18.29
18.29-14.20=4.09

By using the property of function, the result obtained is, When f(94) is divided by 1000, the remainder is 561

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here the functional equation is given by

\(f(x) + f(x - 1) = x^2\)

Now,

\(f(x) + f(x - 1) = x^2\)

\(f(x) = x^2 - f(x - 1)\\f(94) = 94^2 - f(93) = 94^2 - 93^2 + f(92) =\\94^2 - 93^2 + 92^2 - f(91) = 94^2 - 93^2 + 92^2 -91^2+f(90)\)

\(94 + 93 + 92 + 91 + ..... +20^2 - f(19)\)

\(94 + 93 + 92 + ..... + 21 + 400 - 94\) [Since \(94 - 93 = 93 - 92 = .... = 1\)]

\(\frac{74}{2}(21 + 94) + 400 -94\)

\(37 \times 115 + 400 - 94\\4255 + 400 - 94\\4561\)

So f(94) = 4561

When 4561 is divided by 1000, the remainder is 561

So, when f(94) is divided by 1000, the remainder is 561

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Complete Question

The function f has the property that, for each real number x

\(f(x)+f(x-1) = x^2\)

If f(19)=94 what is the remainder when f(94) is divided by 1000?

Answer:

she has rode 16 miles this week

Step-by-step explanation:

3 miles on monday 3 times that many on tuesday plus 4 miles one wensaday add them all up

3 times 3 is 9 plus 3 is 12 plus 4 is 16 there fore 16 miles in totale

sorry for my speling erros

She rode a total distance of 16 miles this week.

An expression in mathematics is a combination of terms both constant and variable. For example, we can write the expressions as -

2x + 3y + 5

2z + y

x + 3y

The distance rode by Lexi per day is mentioned below -

Monday - Lexi rode 3 miles on a bike.

Tuesday - Lexi rode 3 times more than she did Monday.

Wednesday - Lexi rode an additional 4 miles.

We can write the expression to find the total distance in miles covered by Lexi as -

d = d{M} + d{T} + d{W}

d = 3 + (3 + 3) + 4

d = 3 + 6 + 4

d = 13 miles

Therefore, she rode a total distance of 16 miles this week.

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In 100 million years, the seafloor spreading zone will create 10 million square kilometers of new surface area.


The seafloor spreading zone creates 1 centimeter of new crust over its entire 1000 kilometers length every year. To calculate the surface area created, we need to multiply the length of the zone by the amount of new crust created each year.

First, we convert the length from kilometers to centimeters: 1000 kilometers = 100,000,000 centimeters.
Then, we multiply the length by the amount of new crust created each year: 100,000,000 cm * 1 cm = 100,000,000 square centimeters.

Finally, we convert square centimeters to square kilometers: 100,000,000 cm^2 = 10,000 km^2. Therefore, in 100 million years, the seafloor spreading zone will create 10,000 square kilometers of new surface area.

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Answer:

E. 3/4

Step-by-step explanation:

Answer:

i believe it's decaying

Step-by-step explanation:

based on what i've observed from similar questions, the whole numbers were growing and the fractions were dacaying.

good luck :)

i'm not entirely sure but i hope this helps

**please let me know if this is incorrect/not what you're looking for or both**

have a nice day!

By definition of exponential function, The function y = (1/5)ˣ is an exponential decay.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

The function is,

⇒ y = (1/5)ˣ

Now, We have;

The general form of the exponential function is,

⇒ y = a bˣ

If b < 1 , function is an exponential decay.

If b > 1, function is an exponential growth.

Here, The function is,

⇒ y = (1/5)ˣ

And, b = 1/5 < 1

Hence, By definition of exponential function, The function y = (1/5)ˣ is an exponential decay.

Therefore, By definition of exponential function, The function y = (1/5)ˣ is an ''exponential decay.''

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\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

ABC. No image attached btw

Answer:in triangle def, the measure of def

Step-by-step explanation:

Just go 3 letters down

The volume generated by rotating the region bounded by the curve y = x about the y-axis using the method of cylindrical shells is 486π cubic units.

To find the volume generated by rotating the region bounded by the curve y = x about the y-axis using the method of cylindrical shells, we can follow these steps:

First, let's sketch the region bounded by the curve y = x. This is a straight line passing through the origin with a slope of 1. It forms a right triangle in the first quadrant, with the x-axis and y-axis as its legs.

Next, we need to determine the limits of integration. Since we are rotating about the y-axis, the integration limits will correspond to the y-values of the region. In this case, the region is bounded by y = 0 (the x-axis) and y = x.

The height of each cylindrical shell will be the difference between the upper and lower curves. Therefore, the height of each shell is given by h = x.

The radius of each cylindrical shell is the distance from the y-axis to the x-value on the curve. Since we are rotating about the y-axis, the radius is given by r = y.

The differential volume element of each cylindrical shell is given by dV = 2πrh dy, where r is the radius and h is the height.

Now we can express the volume of the solid of revolution as the integral of the differential volume element over the range of y-values:

V = ∫[a, b] 2πrh dy

Here, [a, b] represents the range of y-values that define the region. In this case, a = 0 and b = 9 (as y = x, so the curve intersects y-axis at y = 9).

Substituting t

he values of r and h into the integral, we have:

V = ∫[0, 9] 2πy(y) dy

Simplifying, we get:

V = 2π ∫[0, 9] y^2 dy

Evaluating the integral, we have:

V = 2π [y^3/3] from 0 to 9

V = 2π [(9^3/3) - (0^3/3)]

V = 2π [(729/3) - 0]

V = 2π (243)

V = 486π

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Answer:

B

Step-by-step explanation:

The approximate probability the 11 players on a team will have a mean height of less than 72 inches is 0.047.

probability was calculated, we need to use the central limit theorem. This theorem states that the sample mean of a large enough sample (in this case, n=11 is considered large enough) taken from a population with any distribution will follow a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

Using this theorem and the given information, we can calculate the standard error of the sample mean as follows:

Standard error = standard deviation / square root of sample size
= 3.75 / sqrt(11)
= 1.13

Next, we need to standardize the sample mean using the z-score formula:

z = (sample mean - population mean) / standard error
= (72 - 73) / 1.13
= -0.88

Finally, we can use a standard normal distribution table or calculator to find the probability that a z-score is less than -0.88, which is approximately 0.047.

the approximate probability the 11 players on a team will have a mean height of less than 72 inches is 0.047, calculated using the central limit theorem and the z-score formula.

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Therefore, - 6 4/9 + 9 7/9 equal as a fraction is 10/3.

To add the fractions - 6 4/9 and 9 7/9, we need to first convert the mixed numbers to improper fractions.

6 4/9 can be written as -(6 * 9 + 4) / 9 = -58/9

9 7/9 can be written as (9 * 9 + 7) / 9 = 88/9

Now, we can add the fractions:

-58/9 + 88/9 = (-58 + 88) / 9 = 30/9

The fraction 30/9 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

30/9 = (30/3) / (9/3) = 10/3

Therefore, - 6 4/9 + 9 7/9 as a fraction is 10/3.

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Answer:

30 lamps

Step-by-step explanation:

30*2= 60

The scale of the drawing is given as follows:

1 : 4.5.

The scale of the drawing is obtained applying the proportions in the context of this problem.

The scale is defined as the division of the drawn length by the actual length.

The lengths are given as follows:

90/20 = 4.5, hence the scale of the drawing is given as follows:

1 : 4.5.

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