A bus is 7 meters and 35 centimeters. How long is the bus in millimeters?

Step-by-step explanation:

Given that for a moving object force acting on the object varies directly with the object's acceleration. If F be the force and a be the acceleration, then ;

[tex]\implies \rm F \propto a\\ [/tex]

[tex]\implies \rm F = ka \dots (1)\\ [/tex]

Initially, let force be F and the acceleration is 4m/s² .So

[tex]\implies \rm F = k (4) \\ [/tex]

If the force is increased 15 times then ,

[tex]\implies \rm 15F = k a \dots (2) \\ [/tex]

Divide (1) and (2) ,

[tex]\implies \rm \dfrac{F}{15F}=\dfrac{k(4)}{k(a)}\\ [/tex]

simplify,

[tex]\implies \rm \frac{1}{15}=\frac{4}{a}\\[/tex]

[tex]\implies \rm a = \dfrac{4}{15} m/s^2[/tex]

And we are done!

-Rishabh

Answer:

1.

a) A score that is 6 points above the mean corresponds to a z-score of (6 / 12) = 0.5.

b) A score that is 18 points below the mean corresponds to a z-score of  (-18 / 12) = -1.5.

2.

a) To find the score that represents the 75th percentile for the raw scores, we can use the standard normal table or the Z-table. Since the raw scores form a normal distribution with a mean of 50 and a standard deviation of 4, we can standardize the scores to find the corresponding z-score.

The 75th percentile corresponds to a z-score of 0.67 (by using the standard normal table or the Z-table).

So the raw score that represents the 75th percentile is (0.67 * 4) + 50 = 52.68

Note: Percentile rank is a way to describe the relative standing of a value within a distribution, it's the percentage of values that are equal to or below the value in question.

Answer:

To solve the equation, one needs to have the same type of terms on one side and the constants on the other side, and then using algebraic operations, isolate the variable that you want to find the value of.

For example, starting with the first equation "x = -9y" , if we assume y = 2 and we substitute that value in the equation, we can find the value of x.

x = -9*2 = -18

Then you can use the second equation to check if the value of x and y that you have found are correct by substituting the values into the equation and see if it holds true.

2(-18) - 7(2) = 44, which is true.

Hence the solution of the equation is x = -18 and y = 2.

Answer:

x = -36   and y = 4

Step-by-step explanation:

Your in college and you get this easy work. Im a sophmore in HS. anyways.. You have to subsitute into one of the equations  -2(-9y)-7y =44. Then you multiply the monomials. 18y -7y =44

Combine like terms: 11y =44

Divide both sides of the equation by the coefficient of variable: =44÷11

Calculate the product or quotient: y=4

Substitute into one of the equations: x= -9 x 4

Calculate the product or quotient: x = -36

There you go. Also I see that your new to brainly. well welcome

The angles m∠1 = 2x ° and m∠2 = x + 42 ° are complementary angles, and their measures are m∠1 = 32° and m∠2 = 58°.

Complementary angles angles are those angles when added together sum up to 90°. That is the sum total of complementary angles is 90°.

m∠1 + m∠2 = 90°

2x° + x + 42° = 90°

3x + 42° = 90°

3x = 90° - 42°

3x = 48°

x = 48°/3

x = 16

Therefore, the complementary angles have their measures to be:

m∠1 = 2(16) = 32°

m∠2 = 16 + 42° = 58°

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Answer: I think that it is 125.

since they are unfamiliar with American society. She believes Mary's father was impolite because he failed to extend a greeting to the visitors.

The variable's range is calculated by determining its maximum observed value and deducting its minimum observed value (minimum). Possible range or variational bounds: different pricing for steel; different designs; The breadth or scope of a process or action: insight a weapon's projectile's maximum or anticipated range. A list or set's range is the number between its lowest and maximum. Aligning all the numbers will help you find the region. The lowest number should then be subtracted from the greatest number. The solution includes the list's possible values. The list's range is provided in the solution.

given

since they are unfamiliar with American society.

She believes Mary's father was impolite because he failed to extend a greeting to the visitors.

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The complete question is " Why does Kim gasp and stare at Mary's father and mother?"

To find the average net change for all five companies listed in the weekly investment report, you would add up the net change for each company:

What is math average?

In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.

(+0.38 + +0.14 + -0.09 + +0.09 + +0.08) = +0.60

Then divide that number by the total number of companies, in this case 5:

+0.60 / 5 = +0.12

The average net change for all five companies listed is +0.12.
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Answer:

step by step explanation

Answer:

Step-by-step explanation:

i thing its 125

The end with [tex]17\frac{4}{7}[/tex] will have a closed circle representing greater than or equal to and there will be an arrow on the other side representing continous.

A number line is a depiction of a graded straight line that is used to represent real numbers visually. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

To represent an inequality on a number line, such as x>3, first draw a circle around the number (e.g., 3). Fill in the circle if the sign also says equal to (or ). Leave the circle blank if the sign doesn't contain equal to (> or ).

The inequality is

-21 ≤ 7x - 144

⇒ 7x≥ 144 - 21

⇒ x ≥ 123/7

⇒ x ≥ [tex]17\frac{4}{7}[/tex]

The plot on number line will be that the number will start start at x = [tex]17\frac{4}{7}[/tex] and continue on the positive side.

The end with [tex]17\frac{4}{7}[/tex] will have a closed circle representing greater than or equal to and there will be an arrow on the other side representing continous.

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Answer:

The slope-intercept form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line crosses the y-axis).

Given a point (x1, y1) and a slope m, we can use the point-slope form of the equation of a line which is:

y - y1 = m(x - x1)

In this case, the point is (5, 12) and the slope is 3/5.

So the equation of the line in point-slope form is:

y - 12 = (3/5)(x - 5)

To put this equation in slope-intercept form, we need to solve for y.

To do this, we can add 12 to both sides:

y = (3/5)x + (12 - (3/5)*5)

y = (3/5)x + 12 - 3

y = (3/5)x + 9

So the equation of the line that goes through the point (5, 12) with the slope m = 3/5 in slope-intercept form is y = (3/5)x + 9

Answer: 7200 + 100c < 27500

Step-by-step explanation:

27500 kilograms is the maximum weight that the container can hold; the limit

7200 kilograms are said to have been loaded already

We want to find how many 100 kilogram crates (c) can still be loaded with the already loaded 7200 kilograms

The amount of 100 kilogram crates is c plus the previous added amount of 7200 kilograms has to be less than 27500 kilograms because that is the maximum amount of weight the shipping container can hold.

Depends on where you stay. Here it costs something around ₹400 - ₹500 per square foot.

The value of x in the right triangle is 41 cm.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the sides of a right triangle can be found using trigonometric ratios as follows:

let's find the side length x of the right triangle.

cos 42° = adjacent / hypotenuse

where

adjacent side = x

hypotenuse side = 55 cm

Therefore,

cos 42° = x / 55

cross multiply

x = 55 cos 42°

x = 55 × 0.74314482547

x = 40.8729654013

Therefore,

x ≈ 41 cm

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Answer:

3 yd

Step-by-step explanation:

(108 in)(1 yd/36 in) = 3 yd

The length of the line segment GI is 31 units.

The length of GI is 5x + 1. The actual length of the line segment GI can be found as follows:

Therefore,

GH + HI = GI

GH = x + 10

HI = 3x - 3

GI = 5x + 1

Therefore,

GI = x + 10 + 3x - 3

5x + 1 = x + 10 + 3x - 3

5x + 1 = 4x + 10 - 3

5x + 1 = 4x + 7

5x - 4x = 7 - 1

x = 6

Therefore,

GI = 5x + 1 = 5(6) + 1 = 30 + 1 = 31 units

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When the vertical component of velocity is equal to zero, an object's maximum height in a projectile trajectory occurs.

h = v 0 y 2 2 g . The maximum height a projectile can reach above its launch site is defined by this equation, which only depends on the vertical component of the starting velocity.

The object's highest vertical separation from the horizontal plane along its journey is its maximum height.

The vertex form of a parabola is y = f(x) = a(x-h)2 + k, where h, k are the coordinates of the parabola's vertex, or the general equation y = f(x) = ax2 + bx + c.

The vertex formula is h = - b/2a k = f, and it can be used to get the vertex of a parabola (h)

The parabola is concave up (down) if a 0 (a 0), reaching its minimum (highest) value at the vertex.

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A function which could be the function graphed above "On a coordinate plane, a curve starts in quadrant 2 and crosses the y-axis and goes into quadrant 1. The curve opens down and to the right" is: D. f(x) = √(x + 4).

In Mathematics, a quadrant can be defined as the area that is occupied by the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of a cartesian coordinate.

This ultimately implies that, there are four (4) major quadrants in any graph and these include the following:

Next, we would use an online graphing calculator to plot the given functions in order to determine the function that was graphed, which we can logically deduce is f(x) = √(x + 4).

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Complete Question:

Which could be the function graphed below?

On a coordinate plane, a curve starts in quadrant 2 and crosses the y-axis and goes into quadrant 1. The curve opens down and to the right.

f(x) = √(x - 5) + 1

f(x) = √(x - 2)

f(x) = √x

f(x) = √(x + 4)

Answer:

Step-by-step explanation:

You have a length of 2.91 and you want to cut it into 3 equal pieces.

Equation:

2.91÷3=0.97

So each piece is 0.97 meters long.

Hope this helps!

Answer: c

Step-by-step explanation:

La clasiciación por numero de lados significa que agrupamos a polyognos segun la cantidad de lados (separados por vertices) que estos tengan.

Esto se refiere simplemente a separar poligonos en grupos dependiendo del número de lados que los poligonos tienen.

Por ejemplo:

En este caso, "triangulo" es una clasificacion que aplica a todos aquellos poligonos que tienen exactamente 3 lados.

A eso se refiere la clasificación de polígonos por el numero de sus lados.

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The given expression is a directly proportional expression.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
Given expression,
4.2x-12=0.7y-12

Adding 12 on both sides
4.2x = 0.7y

Divide by 0.7 on both sides

y = 6x

Thus, the given expression is a directly proportional expression.

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Answer:

all answers are equal to 1.

any number to the zero power is one because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.

The given information to prove that EG = FH is explained below.

A line segment is a given line which has two end points. The line can be divided into a number of fractions so that by simple addition and subtraction operations, the value of series of length can be determined.

Thus in the given question, line EH is a line segment which consists of other fractions of line segments.

To use the given information to prove that EG = FH, we have;

              STATEMENT                         REASON

1. EF = GH                                          Given

2. FG = FG                                        Equality property of a line segment

3. EH = EF + FG + GH                      Addition property of a line segment

4. EG = EF + FG                                Addition property of a line segment

5. FH = FG + GH                               Addition property of a line segment

6. EG = FH                                        Congruent property of similar segment

Therefore, EG = FH

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50.62 square inches is the surface area of a cylinder

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that Manzanita berries look like little apples. Manzanita juice is sold in cylindrical cans.

A typical can of manzanita juice has a height of 4.9 inches and diameter of 2.6 inches.

We need to find the surface area of the can.

Height of can = 4.9 inches

Diameter =2.6 inches

Radius=2.6/2=1.3

Surface area=2πг² + 2лrh.

=2πг(r+h)

=2×3.14×1.3×(1.3+4.9)

=8.164(6.2)

=50.62 square inches

Hence, 50.62 square inches is the surface area of a cylinder

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It is true that the probability symbol '^' represents the probability of an event happening.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

The probability symbol '^' represents the probability of an event happening in a manner of dependent probabilities. Which describes the dependent relationship between the probability of certain events.

Thus, It is true that the probability symbol '^' represents the probability of an event happening.

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On solving the provided question, we can say that Anil’s age is a factor of 48; prime factors of 48 = 1,2,3,4,6,12,24, => anil's age = 48 +7 = 55

Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.

Anil’s age is a factor of 48.

prime factors of 48 = 1,2,3,4,6,12,24,

anil's age = 48 +7 = 55

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