The temperature was -6 f it rose to 0f what represents the change in temperature

The length of side a is 10/3, and the length of the hypotenuse c is 2√(34)/3.

To find the length of side a, we can use the tangent of angle A. The tangent of an angle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. In this case, tan(A) = 5/12, which means that the length of side a is 5/12 times the length of the adjacent side. Since we know that side b is 2, we can calculate a = \((5/12) * 2 = 10/3\).

To find the length of the hypotenuse c, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, we know that side b is 2 and side a is 10/3. Let's denote the length of c as x. Applying the Pythagorean theorem, we have \((10/3)^2 + 2^2 = x^2\). Simplifying this equation, we get \(100/9 + 4 = x^2\). Combining the terms, we have 100/9 + 36/9 = \(x^2\), which gives us \(136/9 = x^2\). Taking the square root of both sides, we have \(x = \sqrt{(136/9)} = \sqrt{(136)/} \sqrt{(9)} = \sqrt{(136)/3} = 2\sqrt{(34)/3}\).

Therefore, the lengths of the missing sides are a = 10/3 and c = \(2 \sqrt{(34)/3}\).

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a divides b (a|b), as required and they are positive integers.

Given that a and b are positive integers, and a³ divides b³ (written as a³|b³), we need to show that a divides b (written as a|b).

Since a³|b³, this means that b³ = k * a³ for some integer k. Taking the cube root of both sides, we get:

b = (k * a³)^(1/3)

Now, we know that the cube root of a³ is a, so:

b = a * (k)^(1/3)

Since a and b are positive integers, and the cube root of an integer is either an integer or an irrational number, the only way for b to be an integer is if (k)^(1/3) is an integer. Let's denote this integer as m, so:

b = a * m

This shows that a divides b (a|b), as required.

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Answer: x=9

Step-by-step explanation:

Here the given angles are,

50,80,6x-4

The sum of the angles of a triangle is 180 degrees and hence

50+80+6x-4=180

130+6x-4=180

126+6x=180

6x=180-126

6x=54

x=54/6

x=9

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Answer:

x = 50; 2x = 100

Step-by-step explanation:

x + 2x = 150

3x = 150

x = 50

2x = 2(50)

2x = 100

Answer: The correct answer is -u + 4 < -1

Step-by-step explanation:

we can see u=13.

-(13) + 4 < -1

-9 < -1

So, the answer is -u + 4 < -1

Answer:

1 5/12

Step-by-step explanation:

subtract 3 3/4 - 2 1/3 and you get 1 5/12

Answer:

17/12

Step-by-step explanation:

I turned the two fractions into improper fractions and made them have the same denominators. Then I subtracted.

The expression (1.4 × 10¹)(8 × 10⁴) in scientific notation is 1.12 × 10⁵ and for expression (1.1 × 10⁻⁵)(3 × 10²) the  scientific notation is 3.3 × 10⁻³

The given expressions are (1.4 × 10¹)(8 × 10⁴) can be calculated as:

Firstly we will multiply the decimal numbers and whole numbers

1.4 × 8

One point four times eight is equal to eleven point two

= 11.2

Now we multiply the base with ten

10¹ × 10⁴

We know that when the bases are same then the powers will be added in multiplication

= 10⁵

Combining these results, we have 11.2 × 10⁵

Therefore, the result in scientific notation is 1.12 × 10⁵

Similarly, for (1.1 × 10⁻⁵)(3 × 10²)

We will multiply the decimal numbers and whole numbers

1.1 × 3 = 3.3

Now the base with ten will be multiplied

10⁻⁵ × 10²

The bases are same the powers will be added

= 10⁻³

Combining these results, we have 3.3 × 10⁻³

Therefore, the result in scientific notation is 3.3 × 10⁻³

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Answer:

Slope is -.25 =

Minus 25%

Step-by-step explanation:

x1 y1  x2 y2

6 3.5  8 3

(Y2-Y1) (3)-(3.5)=   -0.5  ΔY -0.5

(X2-X1) (8)-(6)=    2  ΔX 2

slope= -  1/4    

B= 5          

Y =-0.25X +5    

The percentage change is -25% the price of fuel is decreased by 25%.

The equation of line is given as,

y = mx + c

Where m is the slope and c is the y-intercept.

Let the data is

x₁= 6 ,   y₁ = 3.5  

x₂ = 8 , y₂ =  3

Calculate the change,

(Y₂ -Y₁ ) = (3)-(3.5)

ΔY = -0.5

(X₂-X₁) = (8)-(6)

ΔX = 2

Calculate the slope,

Slope = ΔY/ ΔX

Slope = -0.5 / 2

Slope = - 1/4 = -0.25

The equation formed by using the above data is,

Y =-0.25X +5    

Therefore, the percentage change is -25% the price of fuel is decreased by 25%.

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Working alone, Allen can build 1/8 of the fence in 1 hour and working together, Allen and Danny can build 1/X of the fence in 1 hour, where X is their combined rate.

Let's say the total time required to build the fence is T hours.

After 2 hours, Allen has completed 1/8 * 2 = 1/4 of the fence.

So, the remaining work to be done is T - 1/4.

When Allen and Danny work together, their combined rate is X = 1 / (1/8 + 1/16) = 4/7.

The total time taken by them to finish the remaining work is (T - 1/4) / (4/7) = (7/4) * (T - 1/4) = 7T/28 - 7/28.

So, the total time taken to build the fence is 2 + (7T/28 - 7/28) = 2 + 7T/28 = T.

Therefore, T = 2 + 7T/28 = 2 + 7 * (8 hours) / 28 = 2 + 4 hours = 6 hours.

So, Allen and Danny took 6 - 2 = 4 hours to build the fence after working together.

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The estimate for the sum of the numbers is 230, and the actual sum of the numbers is 209.

To estimate the sum of the numbers, we can round each number to the nearest ten and then add them together. When rounding off to the nearest tens, we look at the number at the tenth position. If it is five and above, we round it off to the next nearest tens number and if it is below five, we round it off to the previous nearest tens number.

76 rounds to 80   since 6 is above 5
6 rounds to 10 since 6 is above 5
25 rounds to 30 since 5 is located at 5 and above interval
5 rounds to 10 since 5 is located at 5 and above interval
10 rounds to 10 since 0 is below 5
87 rounds to 90 since 7 is above 5

So, the estimate for the sum of the numbers is: 80 + 10 + 30 + 10 + 10 + 90 = 230

To find the actual sum of the numbers, we simply add them together without rounding:

76 + 6 + 25 + 5 + 10 + 87 = 209

The complete question is: 76. 6 25. 5 10. 87 =

What was Sela's estimate and what is the actual sum of the number?

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Answer:

30241530

Step-by-step explanation:

As the y-intercept increases, the graph of the line shifts up;

As the y-intercept decreases, the graph of the line shifts down

There are two perspectives on this issue. The graphical technique would be the first method.

If we merely alter the y-intercept, the slope remains unchanged;

The vertical axis is the y-axis;

A higher or lower y-intercept can be obtained by shifting the line's point of intersection with the y-axis, respectively.

Now, using algebraic reasoning, a line has the general form of the following equation:

When x = 0, the y-intercept is essentially computed as follows:

y = b:

The graph shifts up or down depending on how much we change the b value, which also affects how much the y value changes.

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The variable "weight of the tomato" on this have a look at is a continuous quantitative variable. It is continuous due to the fact it is able to take on any price inside a certain variety, including grams or ounces, and isn't always restricted to precise discrete values.

The weight of every tomato is measured by the use of a scale or instrument that provides particular numerical values. This non-stop nature of the variable permits for comparisons and calculations the use of mathematics operations, including calculating manner, widespread deviations, or carrying out statistical exams.

The weight of the tomato can vary from very mild to very heavy, and the measurements can capture subtle differences in the tomatoes' sizes and weights.

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Answer:

False

Step-by-step explanation:

In the confidence interval, the population parameter is unknown and the interval is a random variable.

Answer:

0.786 liters

Step-by-step explanation:

Answer:

0.786 liters

Step-by-step explanation:

There is 1000 milliliters in a liter. (I'm assuming you meant milliliters instead of millimeters? Otherwise they are not compatible)

milliliters : liter

  1000    :    1

   786      : 0.786

Answer:

V would be at (-4,5)

U would be at (-4,7)

T would be at (-9,7)

Answer:

V: (-4,5) U: (-4,7) T: (-9,7)

Step-by-step explanation:

reflect the shape across the x axis like a mirror

Hope this helps :)

Answer: B. 5 ∙ y + 5 ∙ 2 + 4

Step-by-step explanation:

The options are:

a. 5 + y + 5 + 2 + 4

b. 5 ∙ y + 5 ∙ 2 + 4

c. 5 ∙ y + 5 ∙ 4 + 4

d. 5 ∙ y + 5 + 2 + 4

To solve the question, we have to expand 5(y+2)+4. This will be:

= (5 × y) + (5 × 2) + 4

= 5 ∙ y + 5 ∙ 2 + 4

= 5y + 10 + 4

= 5y + 14

We need to find the average acceleration, this is given by the next formula:

Where:

vf = final velocity

vi = initial velocity

t = time.

Hence, we can replace using:

vf = 22 m/s

vi = 4 m/s

t = 3s

Then:

Hence, the average acceleration is 6 m/s²

Answer:

n/2 - 6 + 10

8/2 - 6 + 10

4 - 6 + 10

= 8

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

I just took the test, sorry if I didn't come on time.

Answer:

In a 45° 45° 90° triangle, the two legs are congruent and the hypotenuse is √2 times the length of each leg.

Let x be the length of each leg.

Then, using the Pythagorean theorem, we have:

x^2 + x^2 = 24^2

2x^2 = 576

x^2 = 288

x = √288 = 12√2

Therefore, the length of each leg is 12√2.

Answer:

each leg is 16.97

Step-by-step explanation:

\(\frac{24}{\sqrt{2} }\) = 16.97

ANSWER

AB, AC, BC

EXPLANATION

We have the given triangle with an unknown angle.

Let us find the unknown angle first.

The angles in a triangle sum up to 180 degrees.

So:

65 + 40 + 5 + 7x = 180

110 + 7x = 180

=> 7x = 180 - 110 = 70

=> x = 70 / 7

x = 10

The unknown angle is therefore:

5 + 7(10) = 5 + 70

= 75 degrees

So, the angles of the triangle are 40, 65 and 75 degrees.

The sides of the triangle correspond to the angles opposite them. This means that the larger the angle, the longer the side opposite it.

The angles and their corresponding opposite sides area:

40 degrees => AB

65 degrees => AC

75 degrees => BC

This means that in the order of shortest to longest, the list is:

AB, AC, BC

Answer:

11. D. 36

9 * 4 = 36

12. C. 7x-5y

13. B. 5

5(x-2)/(x-2)=5

14. C. 540 deg

For sum of interior angles use (n-2)*180 where n=number of sides

15. A. 70 deg

250-180 (250>180) = 70

16. D. 10

(15+13+11+9+7+5)/6 = 10

17. A. 1050

6050-5000

Answer:

The answer is 768

Step-by-step explanation:

Mark me Brainliest pls

Step-by-step explanation:

8z^3+z^2+3z-1/z-1 you can use long division to get 8z^2+(9z^2+3z-1)/(z-1). You can keep dividing this equation until you get 8z^2+9z+12+11/z-1.

By using synthetic division, you can divide it into

1 -1. 8 1 3 -1 (a.k.a their coefficients)

Then bring the 8 down three, 1 down two, and 3, down one. Take that and multiply the one by each, and put it down. 8, 1, and 2. Then, do that with -1, to get -1, -2, and 1. So, the answer is 8z^2+9z+12+11+z-1. But since it's division, and there are 4 terms on one side, and 2 terms on the other, you have to divide it so it's 8z^2+9z+12+11/z-1.

Hope this makes sense!

The approximate numbers of cell sites for the years 1998, 2008, and 2015 based on the given model.

To find the number of cell sites in the years 1998, 2008, and 2015 using the given model equation:

y = 336.01/(1 + 29.39e^(-0.256))

We substitute the respective years into the equation and calculate the value of y.

For the year 1998:

Substituting t = 1998 into the equation:

y = 336.01/(1 + 29.39e^(-0.256*1998))

For the year 2008:

Substituting t = 2008 into the equation:

y = 336.01/(1 + 29.39e^(-0.256*2008))

For the year 2015:

Substituting t = 2015 into the equation:

y = 336.01/(1 + 29.39e^(-0.256*2015))

To find the actual numerical values, we need to evaluate these expressions using a calculator or a computer program that can handle exponentiation and arithmetic calculations.

Please note that it is important to follow the correct order of operations when evaluating the exponent term, particularly the negative sign and the multiplication. The exponent term should be calculated first, and then the result should be multiplied by -0.256.

By substituting the respective years into the equation and evaluating the expression, you will obtain the approximate numbers of cell sites for the years 1998, 2008, and 2015 based on the given model.

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The measured signal could have a dynamic error of approximately 21.6% of the true value due to the limitations of the 1st order system with a time constant of 0.7 seconds.

The dynamic error that could result from measuring a 2 Hz periodic waveform using a 1st order system with a time constant of 0.7 seconds can be estimated using the following formula:

Dynamic error = 100% x (1 - exp(-T/τ)),

where T is the period of the input signal, τ is the time constant of the system, and exp(-T/τ) is the system's gain at the input frequency.

Substituting T = 0.5 s (since the period of a 2 Hz waveform is 0.5 seconds) and τ = 0.7 s, we get:

Dynamic error = 100% x (1 - exp(-0.5/0.7)) ≈ 21.6%

This means that the measured signal could have a dynamic error of approximately 21.6% of the true value due to the limitations of the 1st order system with a time constant of 0.7 seconds. This error is due to the fact that the system cannot respond fast enough to the rapid changes in the input signal, leading to an output that lags behind the input. The larger the time constant of the system relative to the period of the input signal, the larger the dynamic error will be.

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