during the first 60 seconds of a rocket launch after takeoff, a rocket traveled 208 kilometers in 50 minutes at a constant rate. suppose a penny is dropped from a skyscraper and could travel 153 kilomaters in 1/2 hours at a constant rate. which of these objects has a faster unit rate per hour?

Answer:

20

Step-by-step explanation:

P, perimeter of triangle = a + b + c

We're given P = 140 and it is an isosceles triangle.

We can change P to be 2a + b since 2 sides are equal in an isosceles

So, 140 = 2a + b

One side is 3x longer than the other. The equal sides in the triangle can not be 3x longer than each other since it is equal.

And the isosceles sides are longer than the 1 base side.

So if a = our isosceles sides, and b is our base side, than a is 3x our base side which can be written as a = 3b

Now, 140 = 2(3b) + b, and we can now solve

140 = 6b + b => 140 = 7b

20 = b

Our base length is 20.

Answer:

1st Q.

2nd Q.

Answer:

she has 1.20 left

Step-by-step explanation:

half of 2.40 is 1.0

Answer:

the answer is a :)

Step-by-step explanation:

The function of amount paid in terms of kilograms of dalandan is A= 55k.

According to the statement

We have to find that the amount paid in terms of kilograms of dalandan.

So, For this purpose, we know that the

The Amount generally refers to a quantity, sum of two or more quantities.

From the given information:

The Php. 55 cost of dalandan

And then

Let A stands for paid amount

k stands for number of kg of dalandan

Amount = Cost × No. of items

Amount = 55 × k

A = 55 × k

A = 55k

So, The function of amount paid in terms of kilograms of dalandan is A is 55k.

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Given the following data:

A residual value can be defined as a difference between the measured (given or observed) value from a scatter plot and the predicted value from a scatter plot.

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = given value - predicted value

Next, we would determine the predicted value by using the given regression equation as follows:

Hgt = 24 + 2.72(Age)

Hgt = 24 + 2.72(12)

Hgt = 24 + 32.64

Predicted value, Hgt = 56.64 inches.

Now, we can determine the residual value as follows:

Residual value = given value - predicted value

Residual value = 60 - 56.64

Residual value = 3.36 inches.

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Answer:

Ok, since this is not a multiple choice question, I'll tell you how I would write it.

Step-by-step explanation:

It stopped snowing for 10 to 12 hours after the storm and then started snowing again. This is because you can see that the y value (amount of snow on the ground in inches) has no change between 10 to 12 hours after the storm began.

For the second part, Think of the independent variable as the cause(its value is independent of other variables) and the dependent variable as the effect, essentially the value that depends on changes in the independent variable. In this case it tells you that the perimeter of a square depends on the length, so that means that the length is independent and the perimeter of the square is dependent. So, the dependent variable is the perimeter, because the perimeter of a square depends on the length.

A function relating these variables is K(x) = y since the dependent variable (y) depends on the independent variable (x)

Now for the last part that says So K(5) = ___ meaning if 5 ___ I don't really understand what it is asking for, since K(x) = y then K(5) would equal whatever y is when x is 5, but k(5) could also equal 5k if we were just evaluating.

The total number of muffins were 40 and the equation which represnts the given scenarion is (7/10)x = 28.

Let the total number of muffins be x.

According to the given question.

The number of muffins which blew away by wind = 28

And 28 muffins are the 7/10 part of the total muffins.

Therefore, the linear equation in one variable which represents the above scenario is given by

(7/10)   ×  x = 28

⇒ 7x = 280        (multiplying both the sides by 10)

⇒ x = 280/7          (dividing both the sides by 7)

⇒ x = 40

Hence, the total number of muffins were 40 and the equation which represnts the given scenarion is (7/10)x = 28.

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Using the definitions of the mean and of the standard deviation of a data-set, we have that:

When the measure of 84 is added to the data-set, we have that:

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Answer:

goooooood luccckkkk.....

According to the given statement  8.4E9 can be written in scientific notation as 8.4 × 10⁹

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation.

If a number between 1 and 10 is multiplied by a power of 10, the result is written in scientific notation.

The major benefit of scientific notation is that it enables us to scale down extremely large or extremely small numbers into sizes that are much easier to handle. These numbers are much simpler to work with when they are written in scientific notation.

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Answer:

Step-by-step explanation:

Total Cost = D

D= Price  + Price (0.0775)

D= Price (1 +(0.0775)) Factoring the price

D= Price (1.0775)

D= 1.0775 Price

By using the definition of similarity and the dimensions of each rectangle, a rectangle with d = 72 and c = 45 fulfills the height to width ratio of 8 / 5. (Correct choice: C)

Two rectangles are similar if both hold the same height to width ratio. Mathematically speaking, the two rectangles must fulfill the following requirement:

b / a = d / c            (1)

Where:

If a = 50 and b = 80, then the ratio of the second rectangle must be:

d / c = 8 / 5

By direct comparison with any of the four choices, we find that a rectangle with d = 72 and c = 45 fulfills the height to width ratio of 8 / 5.

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The fraction of the shop’s T-shirts are blue T-shirts that are on sale and are size medium is 1/ 8

From the information given, we have the following deductions;

Let the total number of T-shirts be x

Number of Blue T-shirts that are blue

⇒ x × 3/ 5

⇒ 3x/5

Number of Blue T-shirts on sale

⇒ x × 3/ 5 × 5/ 8

multiply through

⇒ 15x/ 40

⇒ 3x/ 8

Number of Blue T-shirts that are on sale  and are of medium size;

⇒ 3x/ 8 × 1/ 3

Multiply through

⇒1/8

Thus, the fraction of the shop’s T-shirts are blue T-shirts that are on sale and are size medium is 1/ 8

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180ML of 50% solution are needed.

Finding an equation's solutions, which are values (numbers, functions, sets, etc.) that satisfy the equation's condition and often consist of two expressions connected by an equals sign, is known as solving an equation in mathematics. One or more variables are identified as unknowns when looking for a solution. An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root.

EXPLANATION : To solve this question, we have initial stock solution of 10% and 50% concentration. We need to make final solution of 25% concentration of volume 16oz. [tex](1oz \approx 30ml)[/tex]

To find :- Volume of 50% required

Let us assume we require x oz volume of 50% stock Solution , Then volume of 10% stock added will be (16-x) oz.

Formula used here:-   C1V1 + C2V2 = C3V3

Where C1 = 50% = 0.5 , V1 = x oz    &   C2 = 10%= 0.1  , V2= 16-x oz

C3 = 25% = 0.25 ,  V3= 16oz

Putting values we have

(0.5*x) + (0.1(16-x)) = 16*0.25

0.5x + 1.6 - 0.1x = 4

x = 6

Hence Volume of 50% solution = x = 6 oz = 6*30 ml  = 180ml

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The margin of error is multiplied by √2.

Given that All else is equal if you cut the sample size in half and to make a statistical inference about the mean of the normally distributed population from which it was drawn ME=(z+s)/√n.

Margin of error (ME) from the mean can be calculated using the formula ME=(z+s)/√n where

z means it is the corresponding statistic of the given confidence level

s means it is the standard deviation of the sample (or of the population if it is known)

N is the sample size

As we know margin of error is proportional with inverse of √N,

If we will cut the sample size in half, the margin of error is multiplied by √2.

Hence, if sample size is cut in half then the margin of error when using the sample to make statistical inferences about the mean of the normally distributed population from which it was drawn is √2.

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The equation for the straight line given in standard form and slope intercept form are-

Straight lines can appear geometrically in five different cases in two dimensional space and are mathematically expressed in algebraic equation form. It is known as the general or standard form of a straight line.

Comparing the given equations with the general equation-

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Answer: utilisez l'équation a^2+b^2=c^2.

Step-by-step explanation: Bonjour, je ne parle pas français donc j'ai utilisé un traducteur pour cela. Pour faire Pythagore, vous utilisez l'équation a^2+b^2=c^2. Donc, d'abord, placez les 2 côtés les plus courts du triangle au carré et additionnez-les. La racine carrée de la réponse pour trouver le côté le plus long. J'espère que cela t'aides.

Answer: 192 in

Step-by-step explanation:

volume of the rectangular prism:

2x8x8= 128 in

volume of the rectangular pyramid:

1/3 ( 8 x 8 x (5-2))= 64 in

Total: 128 + 64 = 192 in

(B) Bar graph method of displaying the data could be used to display the data produced from that question.

Therefore, (B) bar graph method of displaying the data could be used to display the data produced from that question.

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The correct answer is given below:

300 people were asked the following question: How many times have you accessed the internet this week?

- none

- once or twice

- three or four times

- more than four times

Which method of displaying the data could be used to display the data produced from that question?

(a) Time Plot

(b) Bar graph

(c) Stemplot

(d) Histogram

The computation shows that there can be 14 7s that will be needed.

From the information, the gym lockers are to be numbered from 1 through 99 using metal numbers to be nailed onto each locker.

The number of 7s that can be found will be:

= 99/7

= 14

Therefore, there can be 14 7s.

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The slope is 2 exactly.

This rule apply to triangles in spherical geometry If there another value that they would always sum to greater than 180 degrees.

Euclidean geometry is the study of geometrical shapes (plane and solid) and figures based on different axioms and theorems.

In spherical geometry, angles are defined between great circles, resulting in a spherical trigonometry that differs from ordinary trigonometry in many respects; for example, the sum of the interior angles of a spherical triangle exceeds 180 degrees.

Thus, this rule apply to triangles in spherical geometry If there another value that they would always sum to greater than 180 degrees.

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a) The meaning of the point (t, s) = (5, 6) is that the backpacker travels a distance of 5 miles in 6 hours.

b) The equation of the relationship between the distance traveled by the backpacker and time taken is equal to s = (6 / 5) · t.

According to the image attached aside, we find that the distance traveled by the backpacker (s), in miles, is directly proportional to the time taken (t), in hours. In other words, we have the following relationship:

s ∝ t

s = k · t      (1)

Where k is the constant of proportionality, in miles per hour.

a) The meaning of the point (t, s) = (5, 6) is that the backpacker travels a distance of 5 miles in 6 hours.

b) To determine the equation of the relationship, we need to calculate the constant of proportionality. If we know that t = 5 h and s = 6 mi, then the equation of the relationship is:

6 = 5 · k

k = 6 / 5

s = (6 / 5) · t

The equation of the relationship between the distance traveled by the backpacker and time taken is equal to s = (6 / 5) · t.

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Answer:

20 gallons after 50 minutes

Step-by-step explanation:

(2gal/5min) * 10 = 20gal/50 min

50/5 = 10

2*10=20

The slope of the line on the diagram given is rise/run = 3/4.

The formula for calculating the value of the slope of a line on a coordinate plane is expressed as: change in y / change in x = rise of the line / run of the line.

Slope = rise/run.

Given the line shown in the graph above, we have the following:

The blue line represents the rise of the line = 3 units

The red line represents the run of the line = 4 units

Slope (m) of the line = rise/run = change in y / change in x = 3 units/4 units

Slope (m) = 3/4

Therefore, the slope of the line on the diagram given is rise/run = 3/4.

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From the intercepts of the given graph, we have that:

Morgan’s house is located 35 miles from Robin's house, and it took Robin 40 minutes to drive that distance.

For this problem, the axis are given as follows:

The intercepts are given as follows:

y = 35, x = 40.

Hence:

Morgan’s house is located 35 miles from Robin's house, and it took Robin 40 minutes to drive that distance.

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13) Vertex = (1, -5)

y - intercept = -6

x - intercept is non - existent

The parabola opens downward.

13) We are given the parabolic function;

y = -x² + 2x - 6

x of vertex = x of axis of symmetry: x = -b/2a = -2/(2 * -1) = 1

y of vertex; y = f(1) = -(1)² + 2(1) - 6 = -5

Vertex = (1, -5)

y - intercept = -6

x - intercept is at y = 0 and as such are; (1 + √-5) and (1 - √-5)

Since a < 0, the parabola opens downward.

14) We are given the parabolic function;

y = -3(x - 2)² + 12

y = -3(x² - 4x + 4) + 12

y = -3x² + 12x - 12 + 12

y = -3x² + 12x

x of vertex = x of axis of symmetry: x = -b/2a = -12/(2 * -3) = 2

y of vertex; y = f(2) = -3(2)² + 12(2) = 12

Vertex = (2, 12)

y - intercept = 0

x - intercept is at y = 0 which is x = 4

Since a < 0, the parabola opens downward.

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