2x - 1 if x < 0Evaluate g (4) for g(x)for g(x) = x²W√xif 0 ≤ x ≤ 5.if x > 5

Answer:

24 km

Step-by-step explanation:

this is a right triangle

use the pythagorean theorem

a² + b² = c²

a² + 7² = 25²

a² + 49 = 625

Subtract 49 from both sides

a² = 576

Take the square root of oth sides

a = 24

24 km

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Answer:

23

Step-by-step explanation

grief

tail

abridge

train

remind

habitat

gate

appointment

afford

stream

cheat

reckless

mixture

favorable

cultivate

horizon

please

garbage

show

headquarters

Answer:

Patel’s initial deposit was $3000

Step-by-step explanation:

Given:

Simple interest (S.I.) = 5%

Time period (t) = 10 years

Interest earned (r) = $1500

To find: Patel’s initial deposit

Solution:

Simple interest is a method of calculating the interest charged on the principal, or original amount of a loan.

Let p denotes original amount of a loan

\(S.I.=\frac{p\times r\times t}{100}\\\Rightarrow 1500=\frac{p\times 5\times 10}{100}\\\Rightarrow p=\frac{1500\times 100}{5\times 10}\\=3000\)

So, Patel’s initial deposit was $3000

Since we do not know the value of u, we cannot find the time taken by the basketball to travel a distance of 8.5 meters. We cannot find the height of the basketball at its highest point.

Given that n(x) = 3 for 8 < x < 8.5.It is impossible to determine whether the shot will be made or not based solely on this information. Winning the playoffs depends on various factors, such as the score, time remaining, and the overall performance of the team.

Therefore, additional information is required to determine the outcome of the playoffs.However, to find the height of the basketball at its highest point, we need to know the equation of the trajectory of the basketball.

Assuming that the basketball follows a parabolic path, we can use the formula:

y = ax² + bx + c,

where y is the height of the basketball, and x is the horizontal distance traveled by the basketball.

To find the values of a, b, and c, we need to know three points on the trajectory of the basketball. Let's assume that the basketball is thrown from a height of 1.5 meters and lands on the floor after traveling a horizontal distance of 8.5 meters.

Therefore, the points on the trajectory of the basketball are:

(0, 1.5), (8.5/2, h), and (8.5, 0),

where h is the height of the basketball at its highest point.Substituting these values in the equation of the trajectory,

we get:

1.5 = a(0)² + b(0) + c...(1)0 = a(8.5)² + b(8.5) + c...(2)h = a(8.5/2)² + b(8.5/2) + c...(3)

Simplifying equations (1) and (2),

we get:

c = 1.5...(4)b = -a(8.5)²/8.5...(5)

Substituting equation (4) in equation (3), we get:

h = a(8.5/2)² + b(8.5/2) + 1.5h = a(8.5/2)² - a(8.5)²/8.5 + 1.5h = -29.375a + 1.5

Substituting the value of a from equation (5) in the above equation,

we get:

h = -29.375(-a(8.5)²/8.5) + 1.5h = 0.5a(8.5)² + 1.5

Therefore, to find the height of the basketball at its highest point, we need to find the value of a. Since we know that the basketball lands on the floor after traveling a horizontal distance of 8.5 meters,

we can use the formula:

x = ut + 0.5at²,

where u is the initial horizontal velocity of the basketball, and t is the time taken by the basketball to travel a distance of 8.5 meters.

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Answer:

8:15:30

Step-by-step explanation:

8:15:30 a.m hope I helped ;)

The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

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Answer:

169/20, 8.461, 8.49, 8 6/11

Step-by-step explanation:

You can convert all of them to decimals. 169/20 = 8.45 and 8 6/11= 8.545. Then you order the from least to greatest.

Answer:

67.25

Step-by-step explanation:

Since they can each get 1/2 the jelly beans but need to eat it over 4 days they will be eating 1/2*1/4 jelly beans per day. This is equal to 1/8x where x is the total jelly beans. We know the total so we can plug 538 in for x and divide 538 by 8 to get 67.25

The population of the Bownville city reach 1,548,800 at nearly 2015

Given, Since January 2000,

The population of the city of Brownville has grown according to the mathematical model.

Y= 720,500(1.022) x

Where, X= number of years

To find:  If this continues, predict the year during which population of Brownville will reach 1,548,800

Starting population = 720,500

Growth rate = 1.022

(720500) (1.022) x = 1,548,800

1.022x = 2.1496

Taking log on both sides

log1.022x = log2.1496

x log 1.022 = log 2.1496

x=log 1.022×2.1496

x=15

Therefore, nearly it takes 15 years to reach the population 1,548,800

Hence the population of the Bownville city reach 1,548,800 at nearly 2015.

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Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.

\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)

Value of x = 20°

Hey! there . Thanks for your question :)

Answer:

Step-by-step explanation:

In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.

Solution :-

For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :

Step 1: Making equation :

\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)

Solving :

\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)

Step 2: Subtracting 10 on both sides :

\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)

We get ,

\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)

Step 3: Dividing both sides by 5 :

\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)

On cancelling , we get :

\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)

Verification :-

For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :

Therefore , our answer is correct .

The graph satisfies the vertical line test, it may be said that it reflects a function (C) The graph is accurate if it passes the vertical line test.

The graph represents a parabola.

The graph can be a function if it passes the vertical line test.

The graph satisfies the vertical line test, it may be said that it reflects a function (C) The graph is accurate if it passes the vertical line test.

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Answer: Yes; 63 • 73 is equal to (6 • 7)3 or 423.

Step-by-step explanation:This is the answer because if you multiply the 6 and 7 you get 42 and you leave the exponent which in this case is 3 leaving you with 42^3

f(x) = 4.1/(42.4x-10(x-2)), x-intercept = -4.878, y-intercept = (0,-2.05), asymptotes: vertical at x=2, horizontal at y=0, and slant at y=4.1/8x.

Given: f(x) = 4.1/(42.4x-10(x-2))

To find the x-intercept, we set f(x) to zero and solve for x:

0 = 4.1/(42.4x-10(x-2))

0 = 4.1/(32.4x+20)

0 = 4.1/4.08(x+4.878)

So, the x-intercept is x = -4.878.

To find the y-intercept, we set x to zero and solve for f(x):

f(0) = 4.1/(42.4(0)-10(0-2))

f(0) = -2.05

So, the y-intercept is (0,-2.05).

To write f(x) in the form f(x) = -1/(ax + b) + q, we can simplify the expression as follows:

f(x) = 4.1/(42.4x-10(x-2))

f(x) = 4.1/(32.4x+20)

f(x) = 4.1/4.08(8x+5)

So, a = 8, b = 5, and q = 4.1/4.08.

To draw the graph of f, we plot the x- and y-intercepts and the vertical asymptote x = 2.

We can find the horizontal asymptote by noting that as x becomes very large or very small, the term 10(x-2) dominates the expression, so f(x) approaches 4.1/-10x. Thus, the horizontal asymptote is y = 0.

To find the equations of the slant asymptotes, we divide the numerator by the denominator using long division:

4.1

8x + 5 | 4.1

- 4.1

0

So, the slant asymptote is y = 4.1/8x.

Therefore, the intercepts of f are x = -4.878 and (0,-2.05), and the equation of f(x) in the form f(x) = -1/(ax + b) + q is f(x) = -1/(8x + 5) + 1.0039.

The graph of f has intercepts with the x-axis at x = -4.878 and the y-axis at (0,-2.05), a vertical asymptote at x = 2, a horizontal asymptote at y = 0, and a slant asymptote at y = 4.1/8x.

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The following two-column proof can be used to demonstrate the congruency of triangles MNO and XYZ:

Two figures are said to be "congruent" if they can be perfectly positioned over each other. When stacked on top of each other, both bread slices are the same size and shape. Things that are exactly the same size and shape are said to be congruent.

Given: Line segment OZ bisects line segment MN and line segment XZ, and MNO is reflected across line OZ to form XYZ.

Prove: Triangles MNO and XYZ are congruent.

Statements | Reasons

OZ bisects MN, OZ bisects XZ | Given

Angle MOZ = Angle XOZ, Angle NOZ = Angle YOZ | Definition of angle bisector

∠MOZ = ∠XOZ, ∠NOZ = ∠YOZ | Using Corresponding angles postulate

∠MON = ∠XOY, ∠NOZ = ∠YOZ | Using definition of angle bisector

m∠MON = m∠XOY, m∠NOZ = m∠YOZ | Using Angle addition postulate

MN = XZ, MO = XO, NO = YO | Using Segment addition postulate

MNO ≅ XYZ | Using SAS congruence theorem

Therefore, we can conclude that the triangles MNO and XYZ are congruent.

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Answer:

8

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.

The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

d = sqrt((7 - 4)^2 + (-9 - (-2))^2)

d = sqrt((3)^2 + (-7)^2)

d = sqrt(9 + 49)

d = sqrt(58)

Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

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In the triangle in question, x has a value of √68. The triangle is right - angled triangle based on the dimensions provided. According to this, the neighboring angle will also be x°.

An angle is a shape made up of two rays that share a terminus and is designated by the name of the angle (the vertex).

The plane that contains the rays contains the angles created by two beams. The meeting of two planes might also result in an angle. These are referred to as dihedral angles.

An angle is created when two straight lines or rays intersect at the same point. The point where all points converge is known as an angle's vertex.

The Roman word angulus, which means "corner," is where the term "angle" comes from. In plane geometry, an angle is a shape made up of two rays or lines with the same termination.

In the triangle in question, x has a value of √68.

The triangle is right- angled triangle based on the dimensions provided. According to this, the neighboring angle will also be √68.

Therefore, a given triangle's angles will all be expressed mathematically as -

Using Pythagoras theorem,

\(x^{2} = 8^2 + 2^2\\x^{2} = 64 + 4\\x^{2} = 68\\x = \sqrt{68}\)

As a result, the given triangle's x value is √68.

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Answer:

Step-by-step explanation:

Given scores:

Mean of the scores:

Absolute deviations:

Sum of absolute deviations:

Mean absolute deviation:

total no of game (n)=5

score =15, 25, 10, 2, and 8 points

mean= sum of score/no.of game

=(15+25+10+2+8)/5=60/5=12

absolute deviation of

15=\15-12\=3

25=\25-12\=13

10=\10-12\=2

2=\2-12\=10

8=\8-12\=4

mean absolute deviation=

(3+13+2+10+4)/5=3.6

is the mean absolute deviation of the points she scored during the last five games.

Answer:

x and x+2

Because the next consecutive odd number is 2 away from the nearest odd number.

Answer:

odd integers are 2 apart from each other (in between them is an even number)

x and x+2 is answer

(x - 4y) / w = 9

Multiply both sides by w

x - 4y = 9w

Add 4y to both sides

x = 9w + 4y

Answer:

Explain in your own words how to find the prime factorization of a composite number, ... 89. 14. 21. 90. 17 35. Answer: seventeen is less than thirty-five. 91. 36 19. 92. 6 ... x. 102. 5 25 y. Answer: equation. Simplify Expressions Using the Order of ... Why is it important to use the order of operations to simplify an expression?Find the amount you would have, if it s continuously compounded Using ... We subtract $17 Our balance is $13 - $17 = [B]-$4[/B] ... 28y+-+2%29%5E2+%3D+16&pl=Calculate']Use our circle equation calculator to get the general form ... to isolate x: 4x - 20 + 20 = 72y + 20 Cancel the 20 on the left side, we get: 4x = 72y + 20 ...so your answer4 will be 17-20=x

Step-by-step explanation:

Answer:

(f+g)(x) = 7x - 1

Step-by-step explanation:

(f+g)(x) is basically f(x) + g(x). Substitute f(x) and g(x) in:

\(\displaystyle{\left(f+g\right)(x)=f(x)+g(x)}\\\\\displaystyle{f(x)+g(x) = \left(5x-2\right)+\left(2x+1\right)}\\\\\displaystyle{f(x)+g(x)=5x-2+2x+1}\\\\\displaystyle{f(x)+g(x)=7x-1}\)

Therefore, (f+g)(x) = 7x - 1

Answer:

Choice D:  7x - 1

Step-by-step explanation:

We are given the following functions

f(x) = 5x - 2

g(x) = 2x + 1

(f+g)(x) is nothing but f(x) + g(x)

So (f + g)(x) = (5x - 2) + (2x + 1)

= 5x - 2 +2x + 1

= 5x + 2x - 2 + 1

= 7x - 1

Answer: Choice D:  7x - 1

The correct answer is option b. When the homoskedasticity assumption is violated, The beta parameter estimates are biased while the rest of the OLS assumptions are correct.

When the homoskedasticity assumption is violated, the ordinary least squares (OLS) estimator is still consistent but no longer efficient. This means that the estimates of the regression coefficients (beta parameters) are still unbiased, but they have higher variances and covariances.

In other words, the OLS estimator is no longer the best linear unbiased estimator (BLUE) and it may be biased when the errors are heteroscedastic. Therefore, option b is correct.

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9514 1404 393

Answer:

  x = 18

  y = 6

Step-by-step explanation:

The angle marks tell you that ΔTRS is isosceles, so RT ≅ RS. Similarly, the angle marks tell you ΔTRU is equilateral, so UT ≅ RT. This means ...

  x - 7 = 11

  x = 18 . . . . . . add 7

__

Angle URT is an exterior angle equal to the sum of congruent angles RTS and RST. This means ...

  ∠RTS = (1/2)∠URT = 30° . . . . . angles in an equilateral triangle are 60°

  5y° = 30°

  y = 6 . . . . . . divide by 5°

Consider the continuous random variable x that has a uniform distribution over the interval from 40 to 44. The variance of 'x' is approximately C: 1.155.

The variance of a continuous uniform distribution over the interval [a, b] is determined by the formula given as follows:

Var(x) = (b-a)^2 / 12

For the given distribution, a = 40 and b = 44, so the variance is calculated by putting these values into the above formula:

Var(x) = (44 - 40)^2 / 12 = 1.155

Therefore, the variance of 'x' is approximately 1.155

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