Question 25
Multiply two or more consecutive integers to obtain a six-digit palindrome whose first two digits are “47”. What is the sum of these consecutive integers?
(A palindrome is a number that reads the same backwards as forwards)

Answer:

x/5 = 5280/1

Step-by-step explanation:

this is a proportion set up and then cross multiple. You will get your answer for x. Which is 26, 400 feet.

Answer:

(-1, -2)

x=-1

y=-2

Step-by-step explanation:

x+y=2

y=2x

Knowing this information, we can substitute y for 2x+5 in the first equation.

x+2x+5=2

3x+5=2

3x=-3

x=-1

Now, plug x into the second equation.

y=2(-1)

y=-2

Answer:

57.5

Step-by-step explanation:

The expected frequency of West Campus and Failed :

Let :

Failed = F

East Campus = C

West Campus = W

Passed = P

Frequency of FnW :

[(FnE) + (FnW) * (PnW) + (FnW)] / total samples

[(52 + 63) * (63 + 37)] / 200

[(115 * 100)] / 200

11500 / 200

= 57.5

n(Failed n East campus)

Answer:

57.5

Step-by-step explanation:

Got it right on the test.

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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Answer:

The campsite would be 65 m by 65 m. 65 x 65 = 4,225. Another way to put it (and the way to figure it out) is that the square root of 4,225 is 65.

Step-by-step explanation:

la surface de l'écharpe est de 1 1 56 cm² car la formule pour calculer l'air d'un carré est A= coté * coté soit coté²

donc :  Aécharpe=34²=1156

Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

1) In this picture, we can discern a trapezoid, a triangle, and one semicircle.

2) Let's begin from top to bottom, figuring out the area of that semicircle. A semicircle is half the area of a circle, so we can write out the following formula:

Note that the diameter of that semicircle is congruent to the side of the parallelogram. And the diameter is twice the radius, so the radius is 6 ft long.

As we were told, we're considering an approximation for the value of pi.

3) Now, let's move on to the parallelogram. The area of a Parallelogram is

The line m is not parallel to line n. Hence, proved.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Given that, line m is not parallel to line n.

Prove that, ∠1 is not congruent to ∠5 by contradiction.

A by contradiction proof starts by assuming the negative of the to prove is true, then from there logically arriving at a contradiction.

So, assume ∠1 ≅ ∠5.

Those angles are corresponding angles (definition of corresponding angles when two lines are cut by a transversal)

Therefore, line m║n (when two lines are cut by a transversal such that corresponding angles are congruent, then those lines are parallel).

This contradicts the given information that line m is not parallel to line n, so the original assumption cannot be true.

Hence, it is proved.

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The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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The length of the guy wire is equal to 48 ft.

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: Distance of stake to the pole=14 feet and Distance from the pole to the tower as =25 ft. And height of the pole=10 feet.

Now let the angle that the guy wire makes with the stake is θ

Then we have Tanθ= 10/14

                                 =5/7

Again we also have Tan θ= height of the tower /base of the tower

Thus h/39=5/7 ( where h is the height of the tower).

    or, h=27.85

 Therefore using pythagoraes theorem we get the length of the wire as

=\(\sqrt{27.85^2+39^2}\)

=47.92 feet or 48 ft. (Approx)

Hence, The length of the guy wire is equal to 48 ft.

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Answer:

OOk

Step-by-step explanation:

The equation 9cos(sin¯¹(x)) = √(81 – 81x²) is true since L.H.S = R.H.S

To answer the question, we need to know what an equation is

An equation is a mathematical expression that show the relationship between two variables.

Given 9cos(sin¯¹(x)) = √(81 – 81x²), we need to show L.H.S = R.H.S

So, L.H.S = 9cos(sin¯¹(x))

= 9[√{1 - sin²(sin¯¹(x)}] (Since sin²y + cos²y = 1 ⇒ cosy = √[1 - sin²y])

9[√{1 - sin²(sin¯¹(x)}] = √9² × √{1 - sin²(sin¯¹(x)}]

= √[9² × {1 - sin²(sin¯¹(x)}]

= √[81 × {1 - sin²(sin¯¹(x)}]

= √[81 × {1 - x²}]   (since sin²(sin¯¹(x) = [sin(sin¯¹(x)]² = x²)

= √(81 – 81x²)

= R.H.S

So, the equation 9cos(sin¯¹(x)) = √(81 – 81x²) is true since L.H.S = R.H.S

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One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

Digital Construction is known to be a term that connote  the act of using digital technologies to be able to make construction to be more better and  with higher quality.

Note that  a lot of the new technologies have been seen to have proven themselves and gives  a lot of opportunities for the construction,

In the use of the digital tools, one can Construct a line or a line segment and then uses the move tool to drag some points around, and then watch to see what happens.

Therefore,  One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

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Answer:

C

Step-by-step explanation:

Answer:a

Step-by-step explanation: a

The set of negative integers is represented below:

The set of positive integers is represented as:

Combining the two sets above and adding zero (0), we have:

The set which describes the set of negative, zero or positive whole numbers is the set of integers.

Thus the change will be an integer number.



Answer: y = 2/3 x + 3

Step-by-step explanation:

You are supposed to find y = mx + b.

In that equation y = mx + b, b is the y intercept or the dot that passes through the y axis. The m in the equation is the slope, to find the slope you find the rise over run the simplify it as much as you can.

Answer:

Step-by-step explanation:

First one is TRUE...you'd multiply by negative one third

Second is FALSE...no multiplication needed to get x as a positive.

Answer:

The answer is 39

Step-by-step explanation:

Answer:

-1 and 3

Step-by-step explanation:

The roots of the quadratic function can be determined by \(f(x')=0\) where x' is the roots of the quadratic function. In that graph, x = -1 and x = 3 makes the value of f(-1) = 0 and f(3) = 0. So, x = -1 and x = 3 are the roots of the f(x).

Answer:

  a) x = 1 ± (3/7)√7

  b) (-∞, -5) ∪ [-2, 5) ∪ [6, ∞)

Step-by-step explanation:

You want solutions to the relations ...

We like to solve these in the form f(x) = 0. It helps avoid extraneous solutions.

  \(7+\dfrac{1}{x} -\dfrac{1}{x-2}=0\\\\\\\dfrac{7x+1}{x}-\dfrac{1}{x-2}=0\\\\\\\dfrac{(7x+1)(x-2)-x}{x(x-2)}=0\\\\\\ \dfrac{7x^2-14x-2}{x(x-2)}=0\)

The roots of the numerator quadratic are found by ...

  x² -2x -2/7 = 0 . . . . . divide by 7

  x² -2x +1 -9/7 = 0 . . . . add and subtract 1

  (x -1)² = 9/7 . . . . . . . . . . write as a square, add 9/7

  x -1 = ±√(9·7/49) = ±(3/7)√7 . . . . take the square root

  x = 1 ± (3/7)√7

Rational inequalities are best solved by identifying the roots of numerator and denominator. These tell you where the function changes sign. The end behavior of the rational function tells you what the signs are changing from.

  \(\dfrac{x^2-4x-12}{x^2-25}\ge 0\\\\\\\dfrac{(x+2)(x-6)}{(x+5)(x-5)}\ge0\)

This has a horizontal asymptote at y=1 for |x|→∞. It has vertical asymptotes at x=±5.

The sign changes occur at x ∈ {-5, -2, 5, 6}. The rational expression is positive (approaching +1) for x < -5 and for x > 6. It is negative in the adjacent intervals, so positive again for -2 < x < 5.

The inequality is satisfied for ...

Answer:

C

Step-by-step explanation:

Use a graph to figure this out it will be as easy as eating a cake then

Hope this helps

Step-by-step explanation:

(2xy + 5y)2 = 4xy + 10y

Topic: algebraic manipulation

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

4xy+10y

Step-by-step explanation:

(2xy+5y)2

4xy+10y

Answer:

they gave 18 donuts to the school.

Answer:

2 dozen= 24 + 6 = 30 donut.

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

Answer:

Step-by-step explanation: