Express 675 dam in cm

Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

The line x1 = b/2a serves as the axis of symmetry for the graph of a quadratic equation with the form y1 = ax1²+bx1+c.

A parabola is the name for a quadratic function's graph.

Finding the vertex for the given equation is the first step in drawing a parabola graph. To accomplish this, use the formulas x=-b/2a and y=f(-b/2a). When the quadratic equation is stated in the vertex form, f(x) = a(x-h)2 + k, where (h, k) is the parabola's apex, the graph is plotted.

Let y equal the phrases on both sides of the equal sign as the first step.

Step 2: Graph the two newly formed functions.

Step 3: Estimate the location(s) where the function graphs intersect.

Hence a quadratic equation with the form y1 = ax1²+bx1+c is graphed, and the line x1 = b/2a acts as the axis of symmetry.

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The required quadratic inequality whose graph is given below is

[tex]y > -\frac{1}{4}x^2 -4x +2[/tex]

What is graph of a function?

At first it is important to know about function

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Graph of a function f(x) is the collection of all point of the form (x, f(x))

Let the equation be  [tex]y = ax^2 + bx + c[/tex]

The graph passes through (0, 2)

Putting x = 0 and y = 2

c = 2

[tex]y = ax^2 + bx + 2[/tex]

The graph passes through (-12, 14) and (-4, 14)

[tex]14 = (-12)^2a + (-12)b+2\\144a - 12b = 14 - 2\\12(12a- b) = 12\\12a - b = \frac{12}{12}\\12a - b = 1 ... (1)[/tex]

Also

[tex]14 = (-4)^2a + (-4)b + 2\\16a - 4b = 14 - 2\\16a - 4b = 12\\4(4a - b) = 12\\4a - b = \frac{12}{4}\\4a - b = 3 .... (2)[/tex]

Subtracting (2) from (1),

8a = -2

[tex]a = -\frac{2}{8}[/tex]

[tex]a = -\frac{1}{4}[/tex]

Putting the value of a in (2)

[tex]4 \times -\frac{1}{4} - b =3\\-1 - b = 3\\b = -3 - 1\\b = -4[/tex]

The required equality is

[tex]y = -\frac{1}{4}x^2 -4x +2[/tex]

Since the shaded region is the outer region and the line is given dotted,

The required quadratic inequality is

[tex]y > -\frac{1}{4}x^2 -4x +2[/tex]

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Answer:

1) 5

2) 3
3) 2
4) 10
5) 7
6) 36
7) 110
8) 100
9) 40
10) 8
11) 30
12) 60
13) 12
14) 63
15) 77
16) 5

Step-by-step explanation:

Answer:

1) x=5; 2) x=3; 3) x=2; 4) x=10; 5) x=7; 6) x=36; 7) x=110; 8) x=100; 9) x=40; 10) x=8; 11) x=30; 12) x=12; 13) x=12; 14) x=63; 15) x=77; 16) x=5

Step-by-step explanation:

I can't explain every problem, but I will do the first three.

1) We divide the sides by 4 to get x=5

2)We divide by 3 to get x=3

3)Divide by 4 to get x=2

Answer:

97 yards

Step-by-step explanation:

conversion factor 36 in = 1 yard

(3492/1 in)(1yd/36in)

3492/36 yd = 97 yards

Answer:

97 yards

Step-by-step explanation:

First, convert inches to feet:

3492in / 12in = 291 ft

(12 inches in one foot)

Then, convert feet to yards:

291ft / 3ft = 97 yds

(3 feet in one yard)

The required proof by Mathematical Induction of 1 / 1 ×2 + 1 / 2 ×3 + 1 / 3 × 4 + ... + 1 / n ( n + 1 ) = n / n + 1 has been in the solution.

To begin, we suppose that the assertion is correct for some integer k.

⇒ 1/1. 2 + 1/2 . 3 + . . . + 1/k . (k+1)  = k/(k+1)    ....(i)

As per Mathematical Induction, the required solution would be as:

Let the LHS be Sk.

Consider the series with one more term, when k = k+1.

We must demonstrate that Sk+1 has the same form as equation (i) but with k substituted by k+1.

Then,

Sk+1 = Sk + 1/(k+1)(k+2)

       = k/(k+1) + 1/(k+1)(k+2)

       = [k(k+2) + 1] / (k+1)(k+2)

       = (k2+2k +1) / (k+1)(k+2)

       = (k+1)2 / (k+1)(k+2)

       = (k+1) / (k+2)

       = (k+1) / ((k+1)+1)

And this has the same form as equation (i) but with k+1 in place of k.

As a result, if it is true for n=k, it must also be true for n=k+1.

When n=1, S1 = 1/1. 2 = 1/2 = 1/1(1+1), hence the assertion is correct.

As a result of the preceding demonstration, it must be true for n= 1+1 = 2.

as well as for n=2+1=3 and so forth for all n numbers.

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Answer:

1.522756e+12

Step-by-step explanation:

69200000 in scientific notation is  6.92 × 10⁷.

Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.

Scientific Notation is a special way of writing numbers:

For example 800 is written as 8 × 10² in Scientific Notation.

Therefore, let's write the scientific notation of the number 69200000.

Hence,

69, 200, 000 = 6.92 × 10⁷

The logic is that we will count backwards until we meet the last number. Since we counted towards the left side, the exponent will be positive.

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Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=[tex]\frac{550}{c}[/tex]

csin8°=550

c=550/sin8°

c= 3,952

Answer:

68 and 40

Step-by-step explanation:

x - y = 28

x * y = 2720

x = 28 + y

(28+y)y = 2720

28y+y^2 = 2720

y^2 + 28y - 2720 = 0

discriminant = 28^2 - 4(-2720) = 784 + 10 880 = 11 644

we are searching only the positive value

y = (-28 + 108)/2 = 80/2 = 40

x = 28 + 40 = 68

The opposite rational number of -3/2 is -2/3.

p/q where q is not equal to 0 is the form of a rational number, which is a sort of real number in mathematics. A rational number is any fraction with a non-zero denominator. 1/2, 1/5, 3/4, and other like numbers are a few examples of rational numbers. A rational number is one that can be stated mathematically as the quotient or fraction pq of two numbers, p and q, with p being the numerator and q being the denominator. Every integer, such as 5 = 51, is a rational number, as is the number 37.

Given,

Rational number:

-3/2

Reciprocating,

-2/3

The opposite rational number of -3/2 is -2/3.

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Answer:

The answer to  your question is,

D. Reflect over the x-axis and reflect over the y-axis

Step-by-step explanation:

I Hope this helps :)

Answer:

C. Reflect over the X axis and translate 6 units left

Step-by-step explanation:

That is the only one that works

A, B, and D are close but don't line up. For one rectangle to line up with another, it had to be in the same place with the same letters at the same corners. For option C, a reflection across the X axis means that rectangle ABCD will flip across the horizontal line. (it matches A'B'C'D now) then a translation 6 units left just moves it six boxes left. It should match A"B"C"D now :)

Answer:

The total of 100 breakfasts that cost $7.50 would be $750  and the placement of the decimal point would be moved 2 spaces to the right.

Step-by-step explanation:

Breakfasts cost $7.50. Find the customer's total cost for ordering 100 breakfasts. Explain the number of zeros and the placement of the decimal in your answer using a place value chart.

7.50(100)

Brainliest Please?

The event that is least likely to occur among the given events after finding their probabilities is; Event number 4

1) From 1 to 12, the multiples of 3 are;

3, 6, 9 12. They are 4 in number and so;

P(roll a multiple of 3) = 4/12 = 0.333

2) Spinner is divided into 4 equal sized sections made up of red/green/yellow/blue. Thus probability that it lands on red or blue.;

P(red) = 1/4

P(blue) = 1/4

Thus;

P(red or blue) = (1/4) + (1/4)

P(red or blue) = 1/2 = 0.5

3) Total number of tickets = 100

Number bought = 62

Thus, probability of winning = 62/100 = 0.62

4) Number of strawberry chews = 15

Number of cherry chews = 65

Total number of chews = 15 + 65 = 90

Probability of pulling out a strawberry chew is;

P(Strawberry chew) = 15/90 = 0.167

The least likely to occur has the least probability which is number 4.

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Answer:

51 x 51 = 2601

Step-by-step explanation:

Answer:

2601

Step-by-step explanation:

hope it helps

The equation that represents the relationship on the graph attached below is: y = 4/5x + 3.

Given a linear graph like the one attached below, showing the relationship between x and y, the equation that represents the relationship between x and y in the given graph can be expressed as: y = mx + b, where m is the slope (m) and b is the y-intercept (b) of the graph.

In the given image, the line intercepts the y-axis at 3, therefore the y-intercept of the graph is b = 3.

The slope of the graph (m) = change in y / change in x = (11 - 7)/(10 - 5)

m = 4/5

To write the equation of the relationship, substitute m = 4/5 and b = 3 into y = mx + b:

y = 4/5x + 3

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Answer: its gonna be D

Step-by-step explanation:

its just zeros

Answer:

Step-by-step explanation:

A. 60 + 30 = 90

B. 690000

C. 90 x 2000 = 180000

Answer:

30 days

Step-by-step explanation:

Look at you z-score table to find the value closest to .6400  (64%)

 my table shows this corresponds to z-score + .36   standard deviation ABOVE the mean of 22 days

    .36  * 22 = ~ 8 days

  added to the mean   8  + 22 = 30 days      

Answer:

[tex]\frac{4\pi }{5}[/tex]

Step-by-step explanation:

the 2 angles lie on the x- axis and sum to π , then the curved arrow angle is

π - [tex]\frac{\pi }{5}[/tex] = [tex]\frac{5\pi }{5}[/tex] - [tex]\frac{\pi }{5}[/tex] = [tex]\frac{4\pi }{5}[/tex]

Answer:

mixed number: 12 2/5

improper fraction: 62/5

Step-by-step explanation:

The graph of the function f(x) is negative and decreasing from point a to point b.

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

From the given graph of f(x) it is decreasing as it is going downwards in the interval from a to b where x is increasing and the graph is negative also in the interval a to b as it is in the negative y-axis.

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The dimension outside the frame is 11 inches long and 9 inches wide.

In the given question we have to find the outside dimensions of the frame.

In the given question, a picture 10 inches long by 8 inches wide has a frame whose area is one half the area of the picture.

The dimension of a picture is 10 inches long by 8 inches wide.

The area of the frame is one half i.e(1/2=0.5)to the area of the picture.

So the length of the frame is

=10+0.5+0.5

=11 inches

The width of the frame is

=8+0.5+0.5

=9 inches

Hence, the dimension outside the frame is 11 inches long and 9 inches wide.

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Answer:

13200

Step-by-step explanation:

7.5 x 1760 = 13200

Answer:

v = 9√2 ; u = 18

Step-by-step explanation:

angle 45 degrees = the legs are congruent

v = 9√2

u = [tex]\sqrt{(9\sqrt{2} )^2+{(9\sqrt{2})^2}} = \sqrt{2(9\sqrt{2)}^2} = \sqrt{2 (81 *2) }= \sqrt{4 * 81}= 2 * 9 = 18[/tex]

Answer:

Step-by-step explanation:

a triangle with an angle of 90° and an angle of 45° is an isosceles right triangle, so V equals 9√2.

to find u we use the Pythagorean theorem

u = √(9√2)²+(9√2)²

u = 9 + 9

u = 18

Answer:

[tex]r=12, y=12x[/tex]

Step-by-step explanation:

[tex]\frac{y}{x}=\frac{48}{4}=12 \\ \\ \therefore r=12 \implies y=12x[/tex]

The representation of the given equation 'v' as subject of the formula v = 6 ( T - 5 ).

Given,

T = v / 6 + 5

substract 5 on both the sides, we get

⇒ T - 5 = v / 6 + 5 - 5

⇒ v / 6 = T - 5

Now represent 'v' as a subject of the formula we get,

v = 6 ( T - 5)

Hence, v = 6 (T - 5 ) is the representation of the given equation 'v' as subject of the formula.

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1.2.1 There are 18 houses in the neighborhood.

1.2.2 The building located next to the park is the hospital.

1.2.3 The business which appears more than all the other businesses in the neighborhood is the Cafe.

1.2.4. The bar scale measures 25 centimeters.

1.2.5 Based on the above measurement, the scale of this street map has a scale factor of 0.005468, compared to the original distance of the neighborhood.

1.2.6 There are 3 more houses in the street at the top than the street at the bottom.

The scale factor is the ratio between two scales of an object.

The scale factor shows how larger or smaller the new scale is compared to the old scale (original measurement).

The formula for the scale factor is as follows:

Scale factor = Dimension of the new scale ÷ Dimensions of the original scale.

1 yard = 91.44 centimeters

50 yards = 4,572 centimeters (91.44 x 50)

The original (larger) dimension of the neighborhood = 50 yards or 4,572 centimeters

Scale (smaller) dimension of the map = 25 centimeters

Scale factor = Smaller dimension/Larger dimensions

= 25/4,572

= 0.005468

The number of houses at the top street = 8

The number of houses at the center street = 5

The number of houses at the bottom street = 5

The total number of houses in the neighborhood = 18

The difference between the top street houses and the bottom street houses = 3 (8 - 5)

The number of cafes = 2

The number of parks = 1

The number of other businesses = 1 each

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The required greatest rate of change is at x = 7 to x = 10. Option A is correct.

Given that,
The function is graphed. On which interval of a is the average rate of change of the function the greatest is to be determined.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
The average rate for,
x = 7 tot x = 10
Rate = 56 - 8 / 10 -7
Rate = 16
While the other pair has an average rate of 4, 4.46

Thus, the required greatest rate of change is at x = 7 to x = 10. Option A is correct.

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