The temperature rose 9 degrees


between 11:00 A. M. And 4:00 P. M.


yesterday. The temperature at 4:00 P. M.


was 87°F. Xin Xin used the following


equation to find the temperature tat


11:00 A. M.


[ + 9 = 87


What was the temperature at


11:00 AM. ?

Answer:

2 sqrt(5) OR 4.5

Step-by-step explanation:

You have to know Pythagorean theorem to solve this question.

a^2 + b^2 = c^2

To use this theorem you have to have a right triangle. There are two right triangles in your image. The lower (larger) one has two sides labeled, so you can use Pythagorean thm to find the third side. There's a short cut, bc some right triangles have easy-to-memorize lengths of the sides. 3-4-5 is one of these number sets. A multiple of this is 6-8-10. We could've solved:

b^2 + 8^2 = 10^2

But it would've come out the same. The unlabeled side is 6.

We can use the 6 and the 4 on the smaller right triangle and use the Pythagorean thm again to solve for x.

4^2 + x^2 = 6^2

16 + x^2 = 36 subtract 16 from both sides.

x^2 = 20

Take the square root of both sides.

sqrt (x^2) = sqrt 20

x = 2 sqrt(5) which is approximately 4.472.

2 sqrt(5) is an exact answer if that is what they are asking for. 4.472 is an approximation to the nearest thousandth. It would be 4.47 to the nearest hundredth or 4.5 to the nearest tenth.

The forward Fourier Transform formula for a signal is X(jω) = F{x(t)}. The inverse Fourier Transform formula is x(t) = F^(-1){X(jω)}. The two formulas are related by the Fourier Transform property called duality or symmetry.

1. The forward Fourier Transform formula is given by:

  X(jω) = ∫[x(t) * e^(-jωt)] dt

  This formula calculates the complex spectrum X(jω) of a signal x(t) by integrating the product of the signal and a complex exponential function.

2. The inverse Fourier Transform formula is given by:

  x(t) = (1/2π) ∫[X(jω) * e^(jωt)] dω

  This formula reconstructs the original signal x(t) from its complex spectrum X(jω) by integrating the product of the spectrum and a complex exponential function.

  The similarity between these two formulas is known as the Fourier Transform property of duality or symmetry. It states that the Fourier Transform pair (X(jω), x(t)) has a symmetric relationship in the frequency and time domains. The forward transform calculates the spectrum, while the inverse transform recovers the original signal. The duality property indicates that if the spectrum is known, the inverse transform can reconstruct the original signal, and vice versa.

3. To determine the Fourier Transform of the given signal x(t) = [-1, 1, 0, -1], we apply the defining integral:

  X(jω) = ∫[-1 * e^(-jωt1) + 1 * e^(-jωt2) + 0 * e^(-jωt3) - 1 * e^(-jωt4)] dt

  Here, t1, t2, t3, t4 represent the respective time instants for each element of the signal.

  Substituting the time values and performing the integration, we can obtain the Fourier Transform of x(t).

Note: Please note that without specific values for t1, t2, t3, and t4, we cannot provide the numerical result of the Fourier Transform for the given signal. The final answer will depend on these time instants.

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Answer:

0,-3

Step-by-step explanation:

Answer:

Your answer should be C or D.

Because it looks like it goes up 1.50 each time

Step-by-step explanation:

Answer:

C. $4.50

Step-by-step explanation:

The y section goes up by $1.50

The given statement "The chi-square distribution is used to perform tests for the population variance but not the standard." is generally true, but it depends on the degree of non-normality of the data and the sample size.

The chi-square test for variance is a hypothesis test that compares the variance of a sample to a known or hypothesized value. The test statistic is calculated as follows:

χ² = (n - 1)s² / σ²

Where χ² is the test statistic, n is the sample size, s² is the sample variance, and σ² is the hypothesized population variance. The test compares the value of χ² to a chi-square distribution with (n - 1) degrees of freedom.

However, if the sample size is large enough, the central limit theorem states that the sample mean will be normally distributed, regardless of the underlying distribution of the data.

The minimum sample size required for the chi-square test to be valid depends on the degree of non-normality of the data.

As a general rule, a sample size of at least 20 is recommended for the chi-square test to be valid for non-normal data.

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Complete Question:

True or false; The chi-square distribution is used to perform tests for the population variance but not the standard.

The length of the longer diagonal is approximately 27.4 inches, and the length of the shorter diagonal is half of that, which is approximately 13.7 inches

To find the lengths of the diagonals of the kite, we can set up an equation using the given information.

Let's call the length of the longer diagonal "d" and the length of the shorter diagonal "d/2".

The formula for the area of a kite is (1/2) * d1 * d2, where d1 and d2 are the lengths of the diagonals.

We are given that the area of the kite is 188 square inches, so we can set up the equation:

(1/2) * d * (d/2) = 188

To solve for the lengths of the diagonals, we can multiply both sides of the equation by 2 to get rid of the fraction:

d * (d/2) = 376

Simplifying the equation, we have:

d^2/2 = 376

Multiplying both sides by 2 to get rid of the fraction, we get:

d^2 = 752

Taking the square root of both sides, we find:

d ≈ 27.4

Therefore, the length of the longer diagonal is approximately 27.4 inches, and the length of the shorter diagonal is half of that, which is approximately 13.7 inches.

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Answer:

The mass of each block is 500 grams.

Step-by-step explanation:

4 kg = 4000 grams

Now we divide,
4000 / 8 = 500

Our final answer should be 500.

By examining a scatterplot, you can gain valuable insights into the relationship between the two quantitative variables x and y, such as direction, strength, form, and outliers.

From examining a scatterplot of two quantitative variables x and y, you can observe the following features about the relationship between the variables:

1. Direction: You can determine whether the relationship between the variables is positive (both variables tend to increase or decrease together) or negative (one variable tends to increase while the other tends to decrease).

2. Strength: You can assess the strength of the relationship by observing how closely the data points are clustered around an imaginary line (e.g., a straight or curved line). A strong relationship has points closely clustered, while a weak relationship has points more scattered.

3. Form: You can identify the form of the relationship, such as linear (points form a straight line) or nonlinear (points form a curve).

4. Outliers: You can detect any outliers, which are data points that do not follow the general pattern of the relationship between the variables.

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Answer:

2

Step-by-step explanation:

The order of operations is:

Parentheses

Exponents
Multiply
Division
Addition
Subtraction

1 + 1 * 1 / 1 =

1 + (1 * 1) / 1 =

1 + 1 / 1 =

1 + 1 =

2

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

Hope this helps :)

Answer:

a B and c because there the shape of the big triangles

Answer:

It has one solution.

Answer:

C. 8x^9

Step-by-step explanation:

(2x³)³=8x^9

The fourth vertex's coordinates are as follows: ( 2.1, -3.6)

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

So, let the missing coordinates be (a,b).

Let's now utilize the midpoint formula to locate the erroneous coordinate.

Let the reference point be (-2.3, 3.6) A.

Let point B be (2.3, 2.2).

(2.1, 2.2) Let C be the point.

The center of AC should be at BD.

Step 1: Locating the AC's midpoint

Middle pint of AC:

(-2.3 + 2.1/2), (-3.6 + 2.2/2)

(0.2/2), (1.4/2)

(-0.1, -0.7)

Let's equate the midpoints in step two.

The BD mid-point:

(a + -2.3/2), (b + 2.2/2) =  (-0.1, -0.7)

(a + -2.3/2) = -0.1

(a -2.3/2) = -0.1*2

a = -0.2+2.3

a = 2.1

(b + 2.2/2) = -0.7

b + 2.2 = -0.7*2

b + 2.2 = -1.4

b = -1.4 -2.2

b = -3.6

Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)

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Complete question:

Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ​( -2.3 and −3.6​), ​(−2.3​, and 2.2​), and ​(2.1​, and 2.2​). What are the coordinates of the fourth​ vertex?

The Recurrence interval for tornadoes in tuscaloosa county is 0.909

What is recurrence interval ?

The time period in which a new occurrence of something that happened or appeared before : a repeated occurrence or The time frame in which a previously occurring event or appearance first occurs: a recurring occurrence

Given that,

Total number of tornadoes is 77

Total time for Recurrence is 70 years

Using these data,

Recurrence = Total time for recurrence / Total number of tornadoes

Substituting we get,

Recurrence interval = 70/77

= (70/77)

= (0.909)

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Answer: 157.5

To find the volume of the smaller box, we use this equation:

Fitting the dimensions into the equation:

So, the volume of the smaller box is 262.5³.

If the height of the second box is %60 percent bigger, we can use this equation to figure out the new height.

10 × 1.6 = 16

Well, that's a good question! If we were to multiply by 0.6, the box would get smaller, instead of bigger. We add the 1.0 because we have to add the original height, not just the added height.

Now, the equation looks like this:

Now, the second boxes volume is 420³.

To find out the difference between the two volumes, we can subtract.

Therefore, the difference between the two volumes is 157.5.

The length of the base and the height of the triangle in feet are 16 feet and 6 feet respectively.

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let b represent the base of the triangle and h is the height, hence:

b = 2h + 4       (1)

Also, the area of the triangle is 48 square feet:

48 = (1/2)bh

96 = bh

(2h + 4)h = 96

2h² + 4h - 96 = 0

h = 6

b = 2(6) + 4 = 16

The length of the base and the height of the triangle in feet are 16 feet and 6 feet respectively.

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The sum of the areas of the non-hexagonal faces of the prism is 9 square feet.

A right hexagonal prism has only one type of non-hexagonal faces: six rectangular faces.

Since the base of the hexagon is a regular hexagon, the length of each side of the base is 6 inches. Using the formula for the perimeter of a regular hexagon, P = 6*s

we can find that the perimeter of the hexagon is,

Perimeter = 6*6 inches = 36 inches = 36/12 feet = 3 feet

The total area of six rectangular faces is found by multiplying the length of the perimeter by the height of the prism.

Area= Perimeter* height

=3 feet * 3 feet

= 9 sqft

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The number of expected double crossover progeny when multiply by the total number of progeny is 47.

When chromosomal pieces are swapped out twice, it is known as a double crossover. In the case of a double crossing, the two ends of the chromosome are still parental, but another sister chromatid sequence has "swapped" into the space between the crossovers;

When homologous chromosomes are combined, crossovers happen.

Chromatids from various chromosomes can be aligned. Exchange chromatids from, for example, segments a collision between two identical chromosomes occurs at an similar spot along their respective lengths. they are After swapping the segments, the chromatids have split between the point of contact and the chromatids' tips.

We have,

number of double crossovers is 0.305 x 0.155 x 1000

so 0.305 x 0.155 x 1000 = 47

So number of expected double crossover progeny is 47.

Test cross:

Progeny whithered wing smooth body and speck body

Genetic distance between sm and sp is 15.5

15.5 = 2x + 33 /1000 x 100

155 = 2x + 33

2x = 155-33

x = 122/2

x = 61.

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It rained approximately 4.47 inches on Tuesday.

The meaning of SUBTRACT is to take away by or as if by deducting. How to use subtract in a sentence.

On Monday, it rained 4(1/2) inches.

On Tuesday, it rained 0.03 inches less than on Monday.

To find out how much it rained on Tuesday, we need to subtract 0.03 inches from the rainfall on Monday.

4(1/2) inches - 0.03 inches = 4.5 inches - 0.03 inches = 4.47 inches

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Answer:

80%

Step-by-step explanation:

300/3=100

60/3=20

100-20=80

Answer:

-10

Step-by-step explanation:

x + 75 + x + 125 = 180

2x + 200 = 180

2x = -20

x = -10

Answer:

The answer is the 2th one , i mean 18 C

Step-by-step explanation:

30 power 2 = 24 power 2 + x power 2

900 = 576 + x power 2

324 = x power 2

x = 18

Answer:

18c

Step-by-step explanation:

30 power 2 = 24 power 2 + x power 2

900 = 576 + x power 2

324 = x power 2

x = 18

The measures of the corresponding inscribed angles, and then add those angles together to find the measure of angle L. Therefore, the measure of angle L is 64 degrees.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. In other words, if we have an angle whose vertex is on the circumference of a circle, and whose sides intersect two points on the circumference, then the measure of the angle is half the measure of the arc between those two points.

In this problem, we are given the measures of two arcs, DR and SV, and we want to find the measure of angle L. We can start by using the Inscribed Angle Theorem to find the measures of the corresponding inscribed angles. Let's call these angles A and B, where A is the inscribed angle that intercepts arc DR, and B is the inscribed angle that intercepts arc SV.

Using the Inscribed Angle Theorem, we can find that m∠A=12m⌢DR=12(34∘)=17∘m∠B=12m⌢SV=12(94∘)=47∘

To find the measure of angle L, we simply add angles A and B together: m∠L=m∠A+m∠B=17∘+47∘=64∘

Therefore, the measure of angle L is 64 degrees.

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Answer:

342 - 289 = 53 fewer tickets

Amanda's mistake is that she incorrectly calculated the center; the center is (-1, 3)

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

(x + 1)² + (y - 3)² = 9

A circle equation is represented as

(x - a)² + (y - b)² = r²

Where

Center = (a, b)

Radius = r

Using the above as a guide, we have the following:

Center = (-1, 3)

Radius = 3

This means that Amanda's mistake is that she incorrectly calculated the center; the center is (-1, 3)

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Answer:

Hey:D

Step-by-step explanation:

w=5_4    5 ontop 4 in the bottom

Answer:

w=5/4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

These are similar triangle

We can use ratios to solve

12         12+4

------ = ----------

9         9+DC

Using cross products

12( 9+DC) = 9*(12+4)

12 (9+DC) = 9*16

Divide each side by 12

12/12 (9+DC) = 9*16/12

9+DC = 12

Subtract 9 from each side

9+DC-9 =12-9

DC =3

Answer:

3 units

Step-by-step explanation:

We can see that triangle ADE is similar to triangle ACB.

Therefore the ratios of the lengths of their sides must be equal.

We can write AD/AC = AE/AB

we are given AD = 9, AE = 12 and AB = 12 + 4 = 16

Substituting the above values into the equation:

AD/AC = AE/AB

9 / AC = 12/16  (rearranging)

(AC)(12) = (9)(16)

AC = (9)(16)/12

AC = 12

We can also see that

DC = AC - AD

DC = 12 - 9

DC = 3 units

Pythagoras theorem is the square of two sides gives the square of third side.

Given,

Height of flagpole= 25 ft

base= 5 ft

Let the broken part be x

The remaining part becomes 25-x

Apply Pythagoras theorem

\(5^{2}\) + \(x^{2}\) = \((25-x)^{2}\)

25 + \(x^{2}\) = \(25^{2}\) + \(x^{2}\) - 2*25*x

25 + \(x^{2}\) = 625 + \(x^{2}\) - 50x

(\(x^{2}\) cancels out on both side)

50x = 625- 25

50x = 600

x = 600/50

x = 12