franklin mountains bike weighs 17,000 grams. how many kilograms does his bike weigh

Angle EHF is congruent to the angle HFG

Answer:

angle EHF is congruent to angle HFG

Step-by-step explanation:

Answer:

Step-by-step explanation:

14. y = -2/3x + 10. This is parallel to 2x -3y because they have the same slope.

15. y = -1/2x and y = -1/2x + 2. These are perpendicular because the slope is the opposite reciprocal to the slope of y = 2x + 3, which is 2.
The slopes of the lines of the 2 equations are the same. Because of that, we can state that 2 lines that are perpendicular to the same line are parallel. This can be further supported by the Perpendicular Transversal Theorem, which says the same thing.

Hope this helps!

The statement, "arccot x = 1/arctan x, as long as both functions arccot x and arctan x are both defined" is False because arctan(1/x) is equal to arccot(x).

A trigonometric expression is a mathematical expression that involves trigonometric functions such as sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). These functions relate the angles of a triangle to ratios of sides of triangle.

We first let the trigonometric expression : y = arctan(1/x)

So, y = tan⁻¹(1/x),

tan(y) = 1/x,

this expression can be written as x = 1/ tany,

So, x = cot(y),

⇒ y = arcCot(x),

So, we have arctan(1/x) = arccot(x).

Therefore, the statement is False.

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The angle of depression from the top of the tower to a cell phone user who is 5 horizontal miles away and 200 feet above sea level will be 87.36 degrees.

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates.

Here,

The cell phone tower's peak will be at a height of 1300 + 110 = 1410 feet above sea level.

Assuming that the user of a cell phone is 200 feet above sea level, the distance between them is 1410 feet- 200 feet, or 1210 feet.

The distance between them horizontally is 5 miles, or 5 * 5280, or 26400 feet.

The opposite cathetus is 26400 feet away and the neighboring cathetus is 1210 feet away.

the angle is 87.376 degrees, or tan(angle) = 26400 / 1210 = 21.82

A cell phone user 5 horizontal miles away and 200 feet above sea level will be depressed at an angle of 87.36 degrees from the top of the tower.

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The differential equation y - 2y⁶ = (y³ + 5x)y' can be written in differential form: M(x, y)dx + N(x, y)dy = 0, where M(x, y) = y³ + 5x and N(x, y) = y².

The term M(x, y)dx + N(x, y)dy becomes an exact differential if the left-hand side above is divided by y⁶. Integrating that new equation, the solution of the differential equation is y = C/(x³ + 5). To show that M(x, y)dx + N(x, y)dy is an exact differential, we need to show that ∫M(x, y)dx = ∫N(x, y)dy for some function F(x, y). In this case, we have:

∫M(x, y)dx = ∫(y³ + 5x)dx = x⁴ + 5x²

∫N(x, y)dy = ∫y²dy = y³/3

Therefore, F(x, y) = x⁴ + 5x² + y³/3. We can then write the differential equation as:

dF(x, y) = (y³ + 5x)y'/y⁶

Integrating both sides of this equation, we get:

F(x, y) = ∫(y³ + 5x)y'/y⁶ dy = y/(x³ + 5) + C

where C is an arbitrary constant. Therefore, the solution of the differential equation is y = C/(x³ + 5).

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Given a = 3 + 2j and b = 3 - 4j, where j = Squareroot -1, we can calculate the following:

i. a + b = (3 + 2j) + (3 - 4j) = 6 - 2j

ii. a.b = (3 + 2j)(3 - 4j) = 9 - 6j + 6j - 8j2 = 9 + 8j = 9 - 8(-1) = 17

iii. a/b = (3 + 2j)/(3 - 4j) = (3 + 2j)(3 + 4j)/(3 - 4j)(3 + 4j) = (9 + 6j + 12j + 8j2)/25 = (21 + 14j)/25 = 0.84 + 0.56j

We can use the rules of complex numbers to solve these equations. To add or subtract complex numbers, you must add or subtract their real components and imaginary components separately. To multiply complex numbers, you must use the FOIL method and note that j2 = -1. To divide complex numbers, you must multiply both the numerator and denominator by the conjugate of the denominator.

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Answer:

36 different salads can be ordered

Step-by-step explanation:

The dimensions of the posters are 21 inches and 6 inches

What is the area of the rectangle?

Rectangle is a quadrilateral with opposite sides parallel and equal. And every angle is a right angle. The area of the rectangle equals the product of length and breadth

We are given that, The length of a rectangular poster is 9 more inches than two times its width.

Let the length be l and width be w

Hence the relation can be given as,

l = 2w+9

Also the area of the rectangle is 126

hence

126 = l*w

126 = (2w+9)*w

126 = 2w^2+9w

2 w^2+9w-126=0

On solving the equation we get the value of w as

w= 6 and w =-10.5

The length and width cannot be negative hence

W =6

Hence length equals

L =2w+9

L= 12+9

L=21

Hence the dimensions are length = 21 inches and width = 6inches

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Answer:bdbehayssbeu

Step-by-step explanation:

dhdheheyshshsvv55557

Answer:

I will use the Pythagorean Theorem, where leg squared plus the other leg squared = the hypotnues squared

steps:

5

\( {5}^{2} + {7}^{2} = {x}^{2} \)

5 squared = 25

7 squared = 49

\(74 = {x}^{2} \)

then square both sides

square root of 74 is 8.6

therfore x= 8.6

Answer:

4

Step-by-step explanation:

Answer:

m = 5

Step-by-step explanation:

to one side length of 4 to 2, we divided by 2 so why not divide 10 by 2

10 ÷ 2 = 5

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Suppose the function f(x) = 3x+10 and g(x) = 17x+4, then the value of (f+g)(x) is 20x+14

The function is an expression the show the relationship between one variable and another variable. If one variable is dependent variable another variable will be independent variable.  We can also says that the function shows the relationship between set of inputs and set  of out puts

The function f(x) = 3x+10

g(x) = 17x+4

We have to find the value of (f+g)(x)

We know,

(f+g)(x) = f(x) + g(x)

Substitute the values in the equation

(f+g)(x) = 3x+10 + 17x+4

Add the like terms

(f+g)(x)  = 20x+14

Hence, suppose the function f(x) = 3x+10 and g(x) = 17x+4, then the value of (f+g)(x) is 20x+14

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Answer:

19.1

Step-by-step explanation:

If we are considering the number 164, it in fact is a rational number because it can be written as the quotient of two integer numbers, for example 164/1 (164 divided by one).

If we are talking about the rationality of the quantity 164 kilometers of water, that is another issue, because water is not measured in kilometers it is measured in units of volume (like gallons, cubic centimeters, etc.) So I would say that it is absurd to assign those units to water.

Answer:

  27 cm

Step-by-step explanation:

You want the distance from the vertex of an ellipse to the opposite focus if the semi-major axis is 15 cm, and the minor axis is 18 cm.

The square of the distance from the center to either focus is the difference of the squares of the semi-axes. The semi-minor axis is half the  diameter of the ellipsoid.

  c² = 15² -(18/2)² = 225 -81 = 144

  c = √144 = 12 . . . . . cm

The distance from the vertex (V) to the opposite focus is the distance from vertex to center plus the distance from center to focus:

  15 cm +12 cm = 27 cm

The kidney stone should be located 27 cm from the vertex for greatest effect.

Answer:

A. 4,800 feet below sea level

Step-by-step explanation:

10,000 feet below sea level = -10,000 feet

"rises 5,200 feet" = +5,200 feet

=-10,000 + 5,200 = -4,800 feet

=4,800 feet below sea level.

System of Equations

Given the system of equations:

x + z = 6

2x + 4z = 1

To solve the system by the elimination method, we must make the coefficients of one variable opposite.

It's required to eliminate the z-term which means we must make the coefficients of z opposite on both equations.

The coefficient of z is 4 in the second equation, so to eliminate the variable, we must multiply the first equation by -4 as follows:

-4x - 4z = -24

Now when we add both equations, the z is eliminated.

Answer: Multiply equation A by −4.

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

1)103

2)103

3)77

Step-by-step explanation:

(first, look at the photo)

x + (x - 26) = 180

2x - 26 = 180

2x = 206

x = 103

2.angle= 103

3.angle = 103 - 26 = 77

hope this helps ^-^

Verifying that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c = 2  such that f'(c) = 0.

Given:

Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0.

f(x)=x^2−4x+8, [0,4]

when, x = 0

f(x) = x^2 -4x +8

f(0) = y = 0 - 0 + 8 = 8

when, x=4

f(5) = y = 16 - 16+8 =

thus, we have 2 points (0, 8) ; (4, 8)

slope,m = {8-(8)} / {4-0} = 0

hence, we have to calculate all the points,x where 0<x<8 and slope=0

f '(x) = 2x - 4 = 0

or, f '(c) = 2c - 4 = 0

c = 4/2 =2 ( 0<x<4)

hence, the there is only one solution c=2 which satisfies Rolle's theorem.

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Answer:

20, 29, 30, 31, 32, 33, 34, 37

~ the median is: 31 +32 / 2 = 31.5

Step-by-step explanation:

By definition, \(T(0)=0 \implies 0 \in T(U)\).

Since \(U\) is a subspace, given 2 vectors \(u, v \in U \implies u+v \in U\)

\(\therefore T(u+v) = T(u)+T(v) \in T(U)\)

Then, for some scalar \(\alpha\),

\(\alpha T(u) = T(\alpha u) \in T(U)\)

since \(\alpha u \in U\). Therefore \(T(U)\) is a subspace of \(W\) because it satisfies the 3 subspace conditions.

The explicit formula for an arithmetic sequence calculator is a_n = a_1 + (n-1)d.

The formula for an arithmetic sequence is:

a_n = a_1 + (n-1)d

where a_n is the value of the nth term in the sequence, a_1 is the value of the first term in the sequence, n is the position of the term you want to find, d is the common difference between consecutive terms in the sequence, To use this formula to find a specific term in the sequence, simply substitute the values of a_1, n, and d into the formula and evaluate.

For example, if you wanted to find the 10th term in an arithmetic sequence with a first term of 3 and a common difference of 4, you would use the formula

a_10 = 3 + (10-1)4

a_10 = 3 + 36

a_10 = 39

Therefore, the 10th term in this sequence is 39.

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Answer:

none (as shown) or

one if all uppercase letters

Step-by-step explanation:

A line of symmetry is a line you could place on a shape (usually a square, rectangle, triangle, etc, but here the "shape" is the word checkbook) which, if you folded the shape on the line, the two halves of the shape would exactly match each other.

"checkbook" does NOT have any lines of symmetry. BUT,

CHECKBOOK

does have a line of symmetry, horizontally, right thru the middle.

Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

             = 180° - 72° - 64°

             = 44°  

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

                  = 180° - 90° - 72°

                  = 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

                  = 180° - 18° - 36°

                  = 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

                  = 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

                  = 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

                  = 180° - 14° - 54°  

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

d = angle BQP - angle PBQ

  = 112° - 14°

  = 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Answer:

13

Step-by-step explanation:

in which i think you need the variable first you move the 2 with the minus symbol and get 3+(-2)=1 and then you get 1+2h you subtract 1 from 27 and get 26 then 2h=2x13.

f(x) = 4^x

f(1) just means we plug 1 in for x.

4^1 = 4

So, f(1) = 4^1 = 4

1. The first statement is a universally quantified predicate that states for all x, either Px or Dx is true.

2. The second statement is the negation of Da, which means Da is false. From this, we can infer that Pa is true.

1. The first statement, (∀x)(Px v Dx), expresses that for all x, either Px or Dx is true. This means that every element x satisfies the condition of being either Px or Dx. It does not specify which elements satisfy Px or Dx, but it applies to all x universally.

2. The second statement, ~Da, indicates that Da is false. From the negation of Da, we can infer the truth of its negation, which is Pa. Therefore, we can conclude that Pa is true based on the given information.

By combining the conclusions from the two statements, we can deduce the following:

- (∀x)(Px v Dx) is true for all x.

- ~Da is true, which implies Pa is true.

However, there is no direct relation or implication between Pa and the statement GC / Hc. Without further information or logical connections, we cannot derive the conclusion Hc based solely on the given premises.

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Answer:

How am I supposed to know, you're not telling me any information.