Perform the indicated operations. Express the result in scientific notation.
(5.7 x 105) + (4.6 x 106)-(2.9 x 105)
O 7.4 x 105
O 3.3 x 106
O 4.88 x 106
O 5.17 x 106

The pair that support Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ is option B

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

examples of these rules are

The problem requires the prove by Angle - Side- Angle = ASA to ensure that the the triangles are congruent

The Angle - Side - Angle = ASA have it that the two triangles being compared should have their two angles and the included side being equal

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\({\large\begin{gathered} { \underbrace{\boxed { \rm {\blue {Concept \: \: Using}}}}}\end{gathered}}\)

The angle sum property of a triangle:

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°

\( \underline {\mathcal {{{\color{orange}{\bf \large \rightarrow \: \angle \: 1 \: + \: \angle \: 2 \: + \: \angle \: 3 \: = \: 180 \degree}}}}} \)

\({\large\begin{gathered} { \underbrace{\boxed { \rm {\blue {Solution}}}}}\end{gathered}}\)

.

\(\bf \large\longrightarrow \: \: 50 \degree \: + \: 70 \degree \: + \: x \: = \: 180 \degree\)

\(\bf \large\longrightarrow \: \:120 \degree \: + \: x \: = \: 180 \degree\)

\(\bf \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 120 \degree\)

\(\bf \large\longrightarrow \: \: x \: = \: 60\degree\)

\(\bf \large\longrightarrow \: \: x \: + \: 60 \degree \: + \: 60 \degree \: = \: 180 \degree\)

\(\bf \large\longrightarrow \: \: x \: + \: 120 \degree \: = \: 180 \degree\)

\(\bf \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 120 \degree\)

\(\bf \large\longrightarrow \: \: x \: = \: 60\degree\)

Answer:

33.33%

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

so we add 1 and 3 together becuase since there are equal parts, we need to add to get the whole. so since the ration is 1:3, there are 1/4x cats thereate the show

9514 1404 393

Answer:

Step-by-step explanation:

To find the height at 8 seconds, evaluate the formula for t=8.

  S(t) = -5t^2 +80t

  S(8) = -5(8^2) +80(8) = -320 +640 = 320

The height of the rocket is 320 meters 8 seconds after takeoff.

__

To find the time to 290 meters height, solve ...

  S(t) = 290

  290 = -5t^2 +80t

  -58 = t^2 -16t . . . . . . . divide by -5

  6 = t^2 -16t +64 . . . . . complete the square by adding 64

  ±√6 = t -8 . . . . . . . . . take the square root

  t = 8 ±√6 ≈ {5.551, 10.449}

The rocket is at 290 meters height after 5.6 seconds and again after 10.4 seconds.

Answer:

Alex is right so the problem is solved

Answer:

e. HS

Step-by-step explanation:

The argument:

[(P ≡ T) • (H • N)] ⊃ (T ⊃ ~S)

(T ⊃ ~S) ⊃ [(H ∨ E) ∨ R]

[(P ≡ T) • (H • N)] ⊃ [(H ∨ E) ∨ R]

is an instance of one of hypothetical syllogism (HS).

Hypothetical syllogism contains conditional statements for its premises.

Let

p = [(P ≡ T) • (H • N)]

q = (T ⊃ ~S)

r = [(H ∨ E) ∨ R]

The this can be interpreted as:

p ⊃ q

q ⊃ r

p ⊃ r

This interprets that:

If p then q

but if q then r

therefore if p then r

Thus, in logic HS is a valid argument form:

p → q

q → r

∴ p → r

Note that ⊃ symbol is used to symbolize implication relationships. This is used in conditional statements which are represented in the if...then... form.  For example p ⊃ q means: if p then q. So the type of Hypothetical syllogism used in this is conditional syllogism.

There are three parts of syllogism:

major premise

minor premise

conclusion

An example is:

If ABC is hardworking, then ABC will go to a good college.  

Major premise: ABC is hardworking.

Minor premise: Because ABC is hardworking , ABC will score well.

Conclusion: ABC will go to a good college.

Example of Hypothetical syllogism:

If AB is a CD, then EF is a GH

if WX is a YZ, then AB is a CD

therefore if WX is a YZ, then EF is a GH

This can be understood with the help of an example:

If you study the topic, then you will understand the topic.  

If you understand the topic, then you will pass the quiz.

Therefore, if you study the topic, then you will pass the quiz.

For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.

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Answer:

6,000

Step-by-step explanation:

1784+4668=6452

6452 rounded to the nearest thousand is 6,000

The figure contains two right angle triangles. The height is 3 cm and the base is 2 cm

The formula for determining the area of a triangle is

Area = 1/2 x base x height

Area of one triangle = 1/2 x 2 x 3 = 3 cm^2

Area of the two triangles = 3 x 2 = 6m^2

It also has a rectangle whose length is 3 cm and width is 2cm

Area of rectangle = 2 x 3 = 6 cm^2

The area of the figure = area of rectangle + area of both triangles. Thus,

Area of figure = 6 + 6 = 12 cm squared

Step-by-step explanation:

This is a geometric series where our common ratio is -1/2, and a is -4

Since r is less than -1, this series converges so

The sun is

\( \frac{ - 4}{1 + 0.5} \)

\( \frac{ - 4}{1.5} = - \frac{8}{3} \)

The sum is -8)3

Answer:

-25/27

Step-by-step explanation:

Answer:

\( - \frac{ 25}{27} \)

Step-by-step explanation:

\( - \frac{5}{6} \div \frac{9}{10} \\ - \frac{5}{6} \times \frac{10}{9} \\ \frac{ - 50}{54} \\ \frac{ - 50 \div 2}{54 \div 2} \\ \frac{ - 25}{27} \)

Answer: she will receive a grade of zero if she gets one more question incorrect.

Step-by-step explanation: She gets 2 questions correct which equals 4 points and 3 questions wrong which is minus 3 points

4-3=1 so if she were to get one more incorrect she would receive a zero

Answer:

I think B and C is the answer.

Answer:

The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.

Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:

y = 40,000(0.93)^3

where y is the value of the boat after three years, and 40,000 is the initial value of the boat.

Simplifying this equation, we get:

y = 40,000(0.7951)

y = 31,804

However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.

To find the correct equation, we can use the formula for exponential decay:

y = a(1 - r)^t

where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.

In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.

So we can set up an equation:

32,174.28 = 40,000(0.93)^3

Simplifying this equation, we get:

32,174.28 = 31,804.00

This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:

y = 40,000(0.93)^t

where t is the time in years.

The function from which the number of slices can be found based on the number of diameters, can be obtained from the function, f(n) = 2·n, which indicates;

The domain = [1, 8]

The range = [2, 16]

The domain is the set of the possible input of the function, while the range is the set of possible output of the function.

The number of diameters Felix plans to slice into the tortilla = 1 to 8

The number of arcs formed by a diameters of a circle = 2

The number of arcs formed by 8 diameters = 2 × 8

Therefore, the number of arcs formed by n diameters of a circle = 2·n

Each arc of the tortilla represents a slice, therefore:

The number of slices formed by n diameters = 2·n slices

The function of the number of slices Felix gets from cutting n number of diameters is; f(n) = 2·n

The domain is the possible number of inputs, which is the number of diameters, therefore;

When n = 1, f(n) = f(1) = 2 × 1 = 2

When n = 8, f(8) = 2 × 8 = 16

The range is the possible number of slices obtained from the tortilla, therefore;

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The additional gas it will take to fill the tank is 16 gallons

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

Capacity = 24 gallons

Current volume = 1/3 full

This means that

Remaning volume = 1 - 1/3

Evaluate

Remaning volume = 2/3

The additional gas it will take to fill the tank is

Additional = 2/3 * 24

Evaluate

Additional = 16

Hence, the additional gas it will take to fill the tank is 16 gallons

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Problem 1

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

Explanation:

a1 = 1.7 = amount of concrete for the first step

a4 = x = amount of concrete for the fourth step

Sn = sum of the first n terms of an arithmetic sequence

Sn = (n/2)*(a1 + an)

S4 = (4/2)*(a1 + a4)

S4 = 2(1.7+x)

S4 = 2x+3.4

S4 = 17

2x+3.4 = 17

2x = 17-3.4

2x = 13.6

x = (13.6)/2

x = 6.8

We need 6.8 cubic feet of concrete for the fourth step. We'll use this value to help us find the common difference d

an = nth term of an arithmetic sequence

an = a1 + d(n-1)

a4 = a1 + d(4-1)

a4 = a1 + 3d

6.8 = 1.7 + 3d

6.8-1.7 = 3d

5.1 = 3d

(5.1)/3 = d

1.7 = d

d = 1.7

Coincidentally, the common difference is the same as the first term. This won't always happen.

Now we can compute the 12th term

an = a1 + d(n-1)

a12 = 1.7 + 1.7(12-1)

a12 = 20.4

which is then used to find the sum of the first 12 terms

Sn = (n/2)*(a1 + an)

S12 = (12/2)*(a1 + a12)

S12 = 6(1.7 + 20.4)

S12 = 132.6

=============================================================

Problem 2

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

Explanation:

The center is (h,k) = (0,10) which is where the nozzle is located.

The distance from (0,10) to (0,25) is 15 units, so r = 15.

Also, the distance from (0,10) to (0,-5) is also 15 units.

Plug those values into the equation below.

\((x-h)^2 + (y-k)^2 = r^2\\\\(x-0)^2 + (y-10)^2 = 15^2\\\\x^2 + (y-10)^2 = 225\\\\\)

That equation represents the boundary of the circle, which is where the water can reach.

=============================================================

Problem 3

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

Explanation:

Or note that,

a3 = 0.81*(a2) = 0.81*(0.81a1) = a1*(0.81)^2 = 6.7*(0.81)^2 =  4.39587

which must mean,

This is based off the idea that \(a_n = a(r)^{n-1}\)

So,

a6 = a1*(0.81)^5

a6 = 6.7*(0.81)^5

a6 = 2.33614554867

a6 = 2.336

Answer:

Not a Function

Step-by-step explanation:

there are 2 same inputs for different outputs

Answer:

11 remainder 2 sorry if it's wrong...

Step-by-step explanation:

60.00- 25.00= 35.00 35.00 ÷ 3 = 11 r2

The p-value is 0.1533, so p-value>0.05 fail to reject the null hypothesis. There is insufficient evidence to support the claim p-value greater than the significance level 0.05.

Consider the above given that

⇒\(& \alpha=0.05 \quad \mathrm{n}=34 \mathrm{~s}^2=0.0005 \\\)

⇒\(H_{0} : \sigma^2 \leq 0.0004 \\\)

⇒\(H_{a} : \sigma^2 > 0.0004\)

The null and alternative hypothesis test statistic:

⇒\(& \mathrm{x}^2=\left(\frac{\mathrm{n}-1}{\sigma^2}\right) \mathrm{s}^2 \\\)

\(& =\left(\frac{34-1}{0.0004}\right) 0.0005 \\\)

⇒\(& \mathrm{x}^2=\left(\frac{33}{0.004}\right) \times 0.0005 \\\)

\(& =82,500 \times 0.0005 \\\)

⇒\(& \mathrm{x}^2=41.25\)

⇒\(h_{0} : $\sigma^2$ is that or equal to $0.0004$\)

⇒\(h_{a} : $\sigma^2$ is greater that $0.0004$\)

⇒p value=p(z>41.25)

⇒p value=0.1533

By using P Value from Chi-Square Calculator

⇒p value=0.1533

⇒P value >0.05

Fail to reject the null hypothesis.

Therefore, the p-value is 0.1533, so p-value>0.05 fail to reject the null hypothesis.

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The competitive advantage of some small Americans factories such as in tolerance contract manufacturing lies in their ability to produce parts with very narrow requirements, or tolerances, that are typical in the aerospace industry. consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0004. suppose the sample variance for 34 parts turns out to be \(s^{2}=0.0005\) . use \(\alpha=0.05\) , to test whether population variance specification is violated.

\(H_{0} \\H_{a}\)

Test statistic:

The p-value is-------.

Answer:

A. b+2(b+2b)

b + 2b + 4b = 7b

B. 3b + b = 4b

C. 2(2b) = 4b

None of them are equal to 9b

Answer:

\(\fbox {None}\)

Step-by-step explanation:

A

B

C

The sum of normally distributed random variables is also a normally distributed random variable.

Given \(n\) random variables with \(X_i\sim\mathrm{Normal}(\mu_i,\sigma_i^2)\), their sum is

\(\displaystyle\sum_{i=1}^n X_i \sim \mathrm{Normal}\left(\sum_{i=1}^n \mu_i, \sum_{i=1}^n \sigma_i^2\right)\)

i.e. normally distributed with mean and variance equal to the sums of the means and variances of the \(X_i\).

In this case, each of \(X_1,X_2,X_3\) are normally distributed with \(\mu=4\) and \(\sigma^2\) = ... I'm not sure what you meant for the variance, so I'll keep it symbolic. Then

\(V = X_1+X_2+X_3 \sim \mathrm{Normal}(12, 3\sigma^2)\)

Hello!

x² - 5x + 6

= (x² - 2x) + (-3x + 6)

= x(x - 2) - 3(x - 2)

= (x - 2)(x - 3)

Answer:

circumference

Step-by-step explanation:

Answer:

the answer is 50%

BRAINLIST

Is that the right question?

The transformed shape is made up of all the points from the original shape that have been shifted 7 units lower to their new places.

A transformation in mathematics is the procedure of altering a geometric figure's position, size, or shape. Applying a set of rules, referred to as a transformation rule or transformation function, is how a transformation maps an initial figure to a new figure. Translation, rotation, reflection, and dilation are a few examples of transformations. Transformations are a crucial idea in geometry and are used in many areas of mathematics, such as topology, calculus, and linear algebra.

given

Every point in the initial shape will move 7 units downward according to the transformation formula (x, y) -> (x, y - 7). (in the negative y direction). As a result, the altered shape will be 7 units lower.

We can observe from the provided graphs that only the second graph exhibits the necessary transformation.

The transformed shape is made up of all the points from the original shape that have been shifted 7 units lower to their new places.

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