15
Select the correct answer from each drop-down menu.

In the figure, all, and both lines are intersected by transversal t Complete the statements to prove that me1 = m25.
allb(given)
[m21+ m23 = 180° (Linear Pair Theorem)
[m25+ m26= 180° (Linear Pair Theorem)
[m21+m23=25+ 26 (__________?)
[m23=m26(___________?)
[m21=m25 (Subtraction Property of Equality)

The causes of variation that can be identified and eliminated are called; Assignable Causes.

There are two primary causes of variation in the quality of a product or process. These two primary causes are called;

Now, Common causes of variation are defined as random causes that we cannot identify. However, Assignable causes of variation are those that can be identified and eliminated.

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\(\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}\)

Take note that there is a vertical asymptote at x = -4. This means that our function has the form:

▪ \(\longrightarrow \sf{F (x)=\dfrac{A}{x + 4} }\)

\(\leadsto\) By comparing it with the given options, the correct option is A.

\(\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}\)

◉ \( \bm{A. \: \: F(x)= \dfrac{1}{x + 4} }\)

The probability that the time between the next two calls is more than 5 seconds is approximately 0.2865.

To solve this problem, we can use the exponential distribution formula:

\(\[ P(X > t) = e^{-\lambda t} \]\)

where:

\(\( P(X > t) \)\) is the probability that the time between two events is greater than \(\( t \),\)

\(\( \lambda \)\) is the rate parameter of the exponential distribution (equal to \(\( \frac{1}{\text{mean}} \)),\)

\(\( t \)\) is the desired time threshold.

In this case, the mean is given as 4 seconds, so \(\( \lambda = \frac{1}{4} \).\) We need to find the probability that the time between the next two calls is more than 5 seconds, so \(\( t = 5 \).\)

Plugging the values into the formula, we have:

\(\[ P(X > 5) = e^{-\frac{1}{4} \cdot 5} \]\)

Calculating this expression, we get:

\(\[ P(X > 5) \approx 0.2865 \]\)

Therefore, the probability that the time between the next two calls is more than 5 seconds is approximately 0.2865.

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Blank 1: The y-intercept is 3

Blank 2: The a-value is 3

Blank 3: The point is (1,6)

Blank 4: The b-value is 2

The function equation: \(f(x) = 3(2^x)\)

What you have here is an exponential function of the form: \(f(x)=a(b^x)\) or \(y = a(b^x)\).

To find the y-intercept, you have to find the y-value of the point on the equation where x = 0 or where the line crosses the y-axis. So, on the graph, this point is (0, 3).

In an exponential equation, the a-value is the same as the y-intercept. This because, if x = 0 in the equation  \(f(x)=a(b^x)\) then we have the following:

\(f(x)=a(b^x)\\\\f(x)=a(b^{0}) \mbox{ -any number to the power of 0 is 1}\\\\f(x)=a(1)\\\\f(x)=a \mbox{ or } y = a\)

We look at the graph and find the point where x = 1, this will be (1,6).

Since we want to find the b-value, we will use the point (1,6), because we want a value of x that will give us b. So, when x = 1 then  \(b^1=b\).

We know that x = 1, y = 6, a = 3 then;

\(f(x)=a(b^x)\\\\y=a(b^x)\\\\6=3(b^1)\\\\6=3b\\\\3b=6\\\\b=\frac{6}{3} \\\\b=2\)

Therefore , the solution of the given problem of function comes out to be the equation shown in the curve is f(x) = 5 * 3ˣ .

The math lesson covers a variety of subjects, including math, integers, as well as one's subdivisions, architecture, architecture, and both real and mostly fictitious geographic locations. A work covers the connections between different variable that all work together to produce the same result. A utility is made up of a variety of distinctive components that cooperate to create distinct results for each input.

Here,

The spot where x = 1 is the point on the graph with x-coordinate 1. We can see from the graph that this spot is (1, 15). the location where x = 1 is therefore (1, 15).

We can use the exponential growth or decline formula to determine the function's b-value:

=>  f(x) = a + bˣ

where b is the growth or decay factor and an is the starting value.

We can use the coordinates (0, 5) and (1, 15) to find b:

=>  15 = 5 * b¹

=>  b = 3

Consequently, the function's b-value is 3.

Ultimately, the function's equation can be expressed as follows:

=> f(x) = 5 * 3ˣ

Therefore, the equation shown in the curve is f(x) = 5 * 3ˣ

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Answer:

25 pieces

Step-by-step explanation:

let c = amt of candy

(c - 10 ) / 5 = 3

cross-multiply:

c-10 = 15

c = 25

Answer:

the answer is 5

Step-by-step explanation:

Answer: y=5

Step-by-step explanation: since y=5, y+5=10, or a different way of saying it is 5+5=10

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

40.3°

Step-by-step explanation:

sin x/ (5.3) = sin 90/ (8.2)

sin x = (5.3 sin 90) / 8.2

= 5.3/8.2

x = arcsin (5.3/8.2)

= 40.3° to 1 dp

The measure of angle x using Trigonometry is 40.263215° or 40.3.

Trigonometry is a branch of mathematics that deals with the study of relationships involving the angles and sides of triangles. It is especially useful in understanding the properties and behavior of right-angled triangles.

Sine ratio is defined as the ratio of the length of the side opposite an angle to the length of the triangle's hypotenuse.

From the figure,

Perpendicular = 5.3 m

Hypotenuse = 8.2 m

Using Trigonometry

sin x = P / H

sin x = 5.3/ 8.2

sin x = 0.6463

Using Inverse Trigonometry

x = \(sin^{-1}\)(0.6463)

x= 40.263215°

Thus, the measure of angle x is 40.3.

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Answer:

\(

\( \large{\boxed{\sf Hypotenuse = 16.97\ cm }}\)

Hypotenuse=16.97 cm

Step-by-step explanation:

Here it is given that the area of a right isosceles ∆ is 72 cm² . Let us assume that each equal side is x . Therefore the height and the base of the ∆ will be same that is x .

p

\( \begin{gathered}\sf\qquad\longrightarrow \)

Area =\dfrac{1}{2}(base)(height)\\\end{gathered}⟶Area=21(base)(height)

\( \begin{gathered}\sf\qquad\longrightarrow\)

\( 72cm^2=\dfrac{1}{2}(x)(x)\\\end{gathered} \)

⟶72cm2=21(x)(x)

\( \begin{gathered}\sf\qquad\longrightarrow x^2=\)

144cm^2\\\end{gathered}⟶x2=144cm2

\( \begin{gathered}\sf\qquad\longrightarrow x\)

\( =\sqrt{144cm^2}\\\end{gathered}⟶x=144cm2 \)

\(\sf\qquad\longrightarrow \pink{x = 12cm }⟶x=12cm \)

Hence we may find hypotenuse using Pythagoras Theorem as ,

\( \sf\qquad\longrightarrow h =\sqrt{ p^2+b^2}⟶h=p2+b2 \)

Here p = b = 12cm ,

\( \begin{gathered}\sf\qquad\longrightarrow h =\sqrt{ (12cm)^2+(12cm)^2}\\\end{gathered} \)

⟶h=(12cm)2+(12cm)2

\( \begin{gathered}\sf\qquad\longrightarrow h \)

\( =\sqrt{144cm^2+144cm^2}\\\end{gathered}\)

⟶h=144cm2+144cm2

\( \begin{gathered}\sf\qquad\longrightarrow h\)

=\sqrt{288cm^2}\\\end{gathered}⟶h=288cm2

\( \sf\qquad\longrightarrow \pink{ hypotenuse=\)

16.97cm }⟶hypotenuse=16.97cm

Hence the hypotenuse is 16.97 cm .

\)

Answer:

$864

Step-by-step explanation:

100-10 = 90/100= 0.9 (multiplier)

1200*0.9= 1080

100-20 = 80/100= 0.8 (2nd multiplier)

1080*0.8= 864

hope this helps

Answer:

The same length as XY

Step-by-step explanation:

If they are similar, they are basically the same ;)!

Hope this helped!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

Tim has 5 white shirts. He has 9 colored shirts. 5 9 14. 2. Connie has 2 pairs of jeans. 3. Number Sense Sarah had. She gets 3 more pairs of jeans. 5 caps.

Answer:

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Answer:

x = 5

Step-by-step explanation:

Without superscripts or parenthesis your problem could be written two different ways. So I did both. Also, of the more likely version of your question, there's sort of an intro way to solve:

Solving Using Common Bases, and a more advanced way Using Logarithms. I did this both ways also.

For Solving Using Common Bases, you must notice that 256 is a power of 2.

2^8 is 256.

You will also use some exponent rules, and a little distributive property (super worth knowing! It never goes away and is always useful--distributive property)

As for Using Logarithms, there's ONE move that's critically important to know and that is how to change from an exponential sentence to a logarithmic sentence. See image.

Answer:

\(\sqrt{5}\)

Step-by-step explanation:

using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) = \(\sqrt{ab}\)

simplifying

\(\sqrt{45}\)

= \(\sqrt{9(5)}\) = \(\sqrt{9}\) × \(\sqrt{5}\) = 3\(\sqrt{5}\)

\(\sqrt{20}\)

= \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

Then

\(\sqrt{45}\) - 3\(\sqrt{20}\) + 4\(\sqrt{5}\)

= 3\(\sqrt{5}\) - 3(2\(\sqrt{5}\) ) + 4\(\sqrt{5}\)

= 3\(\sqrt{5}\) - 6\(\sqrt{5}\) + 4\(\sqrt{5}\)

= \(\sqrt{5}\)

Answer:

u said youll mark me brainliest

Step-by-step explanation:

The requirement f(x1) * f(x2) < 0 for choosing initial guesses x1 and x2 with opposite signs ensures the validity and convergence of certain numerical root-finding methods such as the bisection method or the regula falsi method.

The statement you provided is true for certain numerical methods used to find roots of equations, such as the bisection method or the regula falsi method. These methods are iterative and require an initial interval or range where the root is expected to be found. To ensure convergence and a valid solution, it is necessary to choose initial guesses x1 and x2 such that the function f(x) evaluated at those points have opposite signs, i.e., f(x1) * f(x2) < 0.

The rationale behind this requirement is based on the Intermediate Value Theorem, which states that if a continuous function f(x) changes sign over an interval [x1, x2], then there exists at least one root within that interval. By ensuring that f(x1) and f(x2) have opposite signs, we guarantee the existence of a root within the interval [x1, x2].

The bisection method works by repeatedly bisecting the interval and selecting a new subinterval that contains the root. At each iteration, the method narrows down the interval by halving it, based on the sign change observed in the function evaluations.

Similarly, the regula falsi (or false position) method also operates by iteratively refining the interval based on the linear interpolation between the function values at the endpoints. The method adjusts the interval based on the sign change of the function, converging to the root.

Both methods rely on the property of opposite signs to guarantee convergence and avoid getting stuck in a non-converging or incorrect solution. If the initial guesses do not satisfy the condition f(x1) * f(x2) < 0, it is possible that the method fails to converge or converges to a different root or solution.

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To find g(-2), we'll substitute -2 for x in the equation g(x) = -4x² - 5x + 9. So,g(-2) = -4(-2)² - 5(-2) + 9g(-2). The value of g(-2) is -6.

To find g(-2), substitute -2 for x in the equation

g(x) = -4x² - 5x + 9 to get

g(-2) = -6 + 9g(-2)

We are given three functions as follows:

f(x) = (1/3)x - 5, g(x)

= -4x² - 5x + 9, and

h(x) = 1/(x - 8) + 3.

We are asked to find g(-2), which is the value of g(x) when x = -2.

Substituting -2 for x in the equation g(x) = -4x² - 5x + 9, we get

g(-2) = -4(-2)² - 5(-2) + 9.

This simplifies to g(-2) = -16 + 10 + 9 = -6.

Hence, g(-2) = -6.

The value of g(-2) is -6.

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Answer:

Step-by-step explanation:

You want two unit vectors that make an angle of 60° with v(6, 8).

After we normalize v to a unit vector, we can find the two desired vectors by adding or subtracting 60° from its angle. The normalized vector v is ...

  v = (6, 8)/√(6² +8²) = (3/5, 4/5)

This can be rotated 60° CCW by the transformation ...

  (x, y) ⇒ (x·cos(60°)-y·sin(60°), x·sin(60°)+y·cos(60°)) = (x-y√3, x√3+y)/2

  (3/5, 4/5) ⇒ ((3-4√3)/10, (3√3+4)/10) . . . . 60° CCW from v

It can be rotated 60° CW by the transformation ...

  (x, y) ⇒ (x·cos(60°)+y·sin(60°), -x·sin(60°)+y·cos(60°)) = ((x+y√3, -x√3+y)/2

  (3/5, 4/5) ⇒ ((3+4√3)/10, (4-3√3)/10)

__

Additional comment

When the vector is written as a complex number, it can be rotated by multiplying by 1∠±60° = (cos(60°)±i·sin(60°). That is what the calculator did.

<95141404393>

x is 280........................

34

It been a while since I've done these, so hopefully it's correct :)

Answer:

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year,

then, solving our equation

I = Prt (Where p=principle,r=rate,t=time)

I = p*0.08*1=0.08p

Step-by-step explanation:

Bo should multiply his current amount by 1.08 to get the complete balance in one step.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

We have been given that Bo invests money in an account paying a simple interest of 8% per year.

To find the total balance in a year, you can use the formula:

balance after 1 year = balance × (1 + (interest rate/100))

In this case, the interest rate is 8%, so you can use the formula like this:

balance after 1 year = balance × (1 + (8/100))

This simplifies to:

balance after 1 year = balance × 1.08

Therefore, to find the total balance in one step, Bo should multiply his current balance by 1.08.

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The answer is D. No, because the sample sizes are not large enough to assume the distribution of the difference in sample means is normal.

In order to perform inference with a confidence interval for the difference in population means, certain conditions need to be met. One of the conditions is that the sample sizes should be sufficiently large.

For the distribution of the difference in sample means to be approximately normal, both sample sizes should ideally be large, typically with a guideline of at least 30 observations. In this case, the sample sizes are 35 for manager A and 40 for manager B, which are relatively small compared to the guideline.

Therefore, (D) the condition of having large enough sample sizes to assume a normal distribution for the difference in sample means is not met. As a result, the conditions for inference with a confidence interval for the difference in population means have not been met.

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Answer:

Im sorry if I'm wrong but I think it's 300+160=460

Answer:

yes your correct  but wrong

Step-by-step explanation:

To find  the area that's covered in corn you need to first write your fraction.

160/300

After you do that you have to turn it into a decimal.

.53333...

After that you need to turn it into a percent so your final answer will be....

53.333...%

BTW try looking to see if you need to round, normally it tells you to do that

Answer:

Step-by-step explanation:

10? i believe so if not then one or two more

Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Subtract 12 from both sides

5 - 12 = k/4

Simplify 5 - 12 to -7

-7 = k/4

Multiply both sides by 4

-7 * 4 = k

Simplify -7 * 4 to -28

-28 = k

Switch sides

k = -28

Using a trigonometric relation we can see that the correct option is A, 370 ft.

We know that the angle of depression is 14°, and the height of the tower is 1,483ft.

The distance between the object and the bottom of the tower would be the opposite cathetus to the known angle, then we can use the trigonometric relation:

tan(14°) = (opposite cathetus)/1,483ft.

1,483ft*tan(14°) = 370ft

The correct option is A.

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The distance from the object to the

base of the tower to the nearest foot is equal to 5948 feet. Option D is correct.

The angle of depression is an angle formed between the horizontal line and the line of sight when an observer looks downwards.

Considering the right triangle formed by the height of the tower and the complementary angle 76°, we shall represent the distance from the object to the base of the tower with x so that;

tan 76° = x/1483 {opposite/adjacent}

note that 90° - 14° = 76°

x = 1483 × tan 76° {cross multiplication}

x = 1483 × 4.0108

x = 5948.0164

Therefore, the distance from the object to the

base of the tower to the nearest foot is equal to 5948 feet. Using the trigonometric ratio of tangent for the angle 76° which is complementary to the angle of depression 14°

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Answer: what do u need help in ?

Step-by-step explanation:

Answer:

$ 645.85

Step-by-step explanation:

First you would plug 6,500 into P. The plug 2.5% as 0.025 into i. And plug the years (5) into n.

A = 6500 (1 + 0.025)^5 = 7354.15

That is the amount that would be in the account at the end of the 5 years.

Then you take the cost of the car (8,000) and subtract the money left in the account (7,354.15).

8000 - 7354.15 = 645.85

Your final answer would be rounded to the nearest cent, or the hundredths place.

Answer:

SAS, because vertical angles are congruent.