Searches related to Leonard measured the mass of each pumpkin in his patch to the nearest tenth of a kilogram. He then created both a histogram and a box plot to display the same data (both diagrams are shown below). Which display can be used to find how many pumpkins had masses below 6.0 kilograms? Choose 1 answer: Which display can be used to find that the median mass was 8 kilograms?

Searches Related To Leonard Measured The Mass Of Each Pumpkin In His Patch To The Nearest Tenth Of A
Searches Related To Leonard Measured The Mass Of Each Pumpkin In His Patch To The Nearest Tenth Of A

Answers

Answer 1

Answer:

Masses Below 6: Histogram

Median Mass: Box Plot

Step-by-step explanation:

For the pumpkins below 6 kilograms in mass, the Histogram is easier to use. The information is grouped in different masses. You could look at the '0-2.9' and the '3.0-5.9' areas to see pumpkins under 6 kilograms.

For the median, the box plot is easier to use. The line inside the box represents the median. This means that you can very easily see the median. The line is at the '8' mark, so the box plot shows that the median is 8.

Brainilest Appreciated.


Related Questions

what is the area of 1/4 of a circle with a radius of 10

Answers

Answer:

78.5

Step-by-step explanation:

It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5

The area of 1/4 of a circle with a radius of 10 is 78.5 units²

Given,

1/4 of a circle.

Radius = 10

π = 3.14

We need to find the area of 1/4 of a circle.

What is the area of a circle?

It is given as:

Area = πr²

Find the area of 1/4 of a circle.

We have,

Area of a circle = πr²

Radius = 10

1/4 area of a circle:

= 1/4 x πr²

= 1/4 x 3.14 x 10²

= 1/4 x 3.14 x 100

= 78.5 units²

Thus the area of 1/4 of a circle is 78.5 units²

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Amina sees a discount of 5% on a laptop. She can calculate the amount she has to pay for the laptop using the expression where b is the price of the laptop before the discount. If the price after discount is $494, which number from the set {500, 505, 510, 520, 525} is the value of b? A. $500 B. $505 C. $510 D. $520 E. $525

Answers

Answer:

D. $520

Step-by-step explanation:

A 5% discount means you are paying 95% of the original price.

494 divided by 0.95 = 520

Answer:

d 520

Step-by-step explanation:

a good trick when you have these multiple choice questions especially with percentages with tips and discounts just multiply each answer option by what ever percentage you have and subtract or add what you got on the calculator

2. A large banana split costs $5.80 plus $0.45 per topping. Write and solve an inequality that represents
the maximum number of toppings you can order if you want to spend at most $8.50.
Define variable:
Equation:
Solution:
can someone check my work? ty!!

Answers

Answer:

Hey there!

Define Variable: Let t be the number of toppings

Equation : You are correct

Solution: You are also correct.

Nicely done!

Hope this helps :)

Which equation gives the length of the altitude of ABC?

Answers

Answer:

B. AD = sqrt(CD * BD)

Step-by-step explanation:

By the right triangle altitude theorem,

CD/AD = AD/BD

AD^2 = CD * BD

AD = sqrt(CD * BD)

Answer: B. AD = sqrt(CD * BD)

Answer:

B

Step-by-step explanation:

[tex]$\frac{CD}{AD} =\frac{AD}{BD} $[/tex]

[tex]AD^2=CD \cdot BD[/tex]

[tex]AD=\sqrt{CD \cdot BD}[/tex]

In this question, you are clearly supposed to use the geometric mean theorem or known as the right triangle altitude theorem. But note that there are other approaches to find the height of the triangle.

Using Pythagorean theorem:

[tex]AD^2+CD^2=AC^2 \Rightarrow AD=\sqrt{AC^2-CD^2}[/tex]

Also,

[tex]AD=AC\sin(c)[/tex]

The table shows the number of minutes Garrett practiced his trombone each week in one month. Week Number of Minutes Practiced 1 190 2 163 3 327 4 205 What is the mean number of minutes Garrett practiced his trombone each week? A. 197.5 B. 177 C. 245 D. 221.25

Answers

Answer:

[tex]\bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]

The reason is because we assume that each week have the same weight and replacing we got:

[tex]\bar X= \frac{190+163+327+205}{4}= 221.25[/tex]

And the best option would be:

D. 221.25

Step-by-step explanation:

For this case we have the following data given

Week       1       2         3       4

Minutes  190   163   327   205

For this case we can find the mean with the following formula:

[tex]\bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]

The reason is because we assume that each week have the same weight and replacing we got:

[tex]\bar X= \frac{190+163+327+205}{4}= 221.25[/tex]

And the best option would be:

D. 221.25

the population of weston is 4320. the towns records shot that 45% of the population are males, and 2/3 of these males are married. how many males in weston are married?​

Answers

Answer:

1296 males

Step-by-step explanation:

Males in Weston: 4320*0.45 = 1944

Married Males in Weston: 1944*2/3 = 1296

Answer:

Answer is 1296 (For me if I add commas it would mark my answer wrong)

Step-by-step explanation:

3x2 +x=10 what’s the answer?

Answers

Answer:

Step-by-step explanation:

3 × 2 + x = 10

6 + x = 10

x = 10 -6

x = 4

Step-by-step explanation:

so 3 x 2 is 6

6 add x is 6x

6x = 10

divide by 6 or 10 on both sides to get ur answer

hope this helps

i would appreciate it if u could heart my answer and give it 5 stars or maybe even give it brainliest pls i beg u thx !!!!! : )

3x2 +4=0 whats the answer?

Answers

Answer:

False

Step-by-step explanation:

3x2 is 6 and 6 +4 is not 0 it is ten 10 norder of operations

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                Hi my lil bunny!

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Lets do this step by step.

Simplify [tex]\frac{3x - 2}{x} -4[/tex].

To write -4 as a fraction with a common denominator, multiply by [tex]\frac{x}{x}[/tex]

[tex]\frac{3x - 2}{x} - 4 . \frac{x}{x} > 0[/tex]

Combine  -4 and [tex]\frac{x}{x}[/tex].

[tex]\frac{3x - 2}{x} + \frac{-4x}{x} > 0[/tex]

Combine the numerators over the common denominator.

[tex]\frac{3x - 2 -4x}{x} > 0[/tex]

Subtract 4x from 3x.

[tex]\frac{-x -2}{x} > 0[/tex]

Factor -1 out of -x.

[tex]\frac{-(-x) -2}{x} >0[/tex]

Rewirte -2 as -1 (2).

[tex]\frac{-(x -1 (2)}{x} > 0[/tex]

Factor -1 out of - (x) - 1 (2).

[tex]\frac{-(x + 2)}{x} >0[/tex]

Simplify the Expression.

_______________

Rewrite - ( x + 2 ) as -1 ( x + 2 ) .

[tex]\frac{-1 ( x+ 2)}{x} > 0[/tex]

Move the negative in front of the fraction.

[tex]- \frac{x + 2}{x} > 0[/tex]

Then your going to find all the values where the expression switches from negative to positive by setting each factor equal to 0  and solving.

[tex]x = 0\\x + 2 = 0[/tex]

Subtract 2 from both sides of the equation.

[tex]x = -2[/tex]

Solve for each factor to find the values where the absolute value expression goes from negative to positive.

[tex]x = 0 \\x = -2[/tex]

Consolidate the solutions.

[tex]x = 0, -2[/tex]

________________

Find the domain of [tex]\frac{3x - 2}{x} -4[/tex]

_________________

Set the denominator in [tex]\frac{3x - 2}{x}[/tex]  equal to 0 to find where the expression is undefined.

[tex]x = 0[/tex]

The domain is all values of x that make the expression defined.

( - ∞, 0 ) ∪ ( 0 , ∞)

Use each root to create test intervals.

[tex]x < -2 \\-2 < x < 0 \\x > 0[/tex]

|Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.|

Test a value on the interval -2 < x < 0 to see if it makes the inequality true.

Ans : True

Test a value on the interval x > 0 to see if it makes the inequality true.

Ans : False

Test a value on the interval x < -2  to see if it makes the inequality true.

Ans : False

Compare the intervals to determine which ones satisfy the original inequality.

[tex]x < -2 = False\\-2 < x < 0 = True\\x > 0 = False[/tex]

The solution consists of all of the true intervals.

[tex]-2 < x < 0[/tex]

The result can be shown in multiple forms.

Inequality Form: [tex]-2 < x< 0[/tex]

Interval Notation: [tex]( -2 , 0 )[/tex]

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About how much money would 18 pounds of cheese cost if the price is $3.95 per pound? Use two different ways to estimate the product. Are your estimates overestimate or underestimate? Explain.

Answers

1. this way is overestimating

assume that you are getting 20 pounds of cheese. that is 2 tens. so multiply 3.95 by 10 = 39.5 thats the price for 10 pounds of cheese. Since we're estimating to get 20 pounds, multiply by two or add 39.5 together twice. 79 dollars this is overestimating since you're raising the amount of cheese you're buying by 2 pounds

2. his way is overestimating

assume its 4 dollars per pound. 18*4 would be 10*4 + 8*4= 40+32 = 72 dollar

this is overestimating because you're raising the price of the cheese by 5 cents.

Answer: 71.1

Step-by-step explanation: Its really simple actully so what you do is you take 3.95 and you mulitply is by 18 or you can add 3.95 plus 3.95 18 times and you get drum roll please 71.1$. I hope my answer was help ful

ASAP PLZZZ Find the area of the shaded polygons:

Answers

Step-by-step explanation:

You can use the Pick's theorem:

[tex]A=i+\dfrac{b}{2}-1[/tex]

where

i - number of lattice points in the interior located in the polygon

b - number of lattice points on the boundary placed on the polygon's perimeter

[tex]1.\\i= 5;\ b=12\\\\A=5+\dfrac{12}{2}-1=5+6-1=10\\\\2.\\i=3;\ b=4\\\\A=3+\dfrac{4}{2}-1=3+2-1=4\\\\3.\\i=5;\ b=10\\\\A=5+\dfrac{10}{2}-1=5+5-1=9[/tex]

Answer:

Of course, the Pick's theorem is the way to solve this question, but consider:

Another approach is using topography:

Gauss's Area Calculation Formula:

[tex]$A=\frac{1}{2} \sum_{i=1}^{n} (x_{i} \cdot y_{i+1}-y_{i} \cdot x_{i+1})$[/tex]

Taking the purple one:

We have 6 points. I will name them:

[tex]A(0, 4);B(0, 0);C(1, 1);D(4, 0);E(4, 4);F(1, 2);[/tex]

[tex]$D=\begin{vmatrix}0& 0& 1 & 4& 4 & 1 & 0\\ 4& 0 & 1 & 0& 4 & 2 & 4 \end{vmatrix}$[/tex]

[tex]D=28-8=20[/tex]

[tex]$A=\frac{20}{2} =10$[/tex]

The function ƒ(x) = 6x is vertically shrunk by a factor of ½ and translated 9 units in the negative y- direction. Select the correct graph of the resulting function.

Answers

Step-by-step explanation:

The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.

Answer:

The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.

Step-by-step explanation:

this was correct

Write an equation that expresses the relationship. Then solve the equation for u. B varies directly as the cube of t and inversely as u

Answers

Answer:

Below

Step-by-step explanation:

B varies directly with the cube of t so:

● B = t^3

B varies inversly as u

● B = 1/u

Let's solve the equation for u:

B= 1/u = t^3

● B= 1/u

Switch u and B

● u = 1/B = 1/t^3

If u is 1 then b and t are also 1.

The perimeter of a triangle is 88 centimeters. If two sides are equally long and the third side is 10 centimeters longer than the​ others, find the lengths of the three sides. The length of each of the two equally long sides is ____(centimeters,square centimeters) and the length of the longer side is ____ (square centimeters,centimeters).

Answers

Answer:

P=2x +2y

2x=2y-p

As given that 2x=2(10)+88

x=108/2

x=54cm

May be it's help you;)

Answer:

The length of each of the two equally long sides is 26 cm

The length of the longer side is 36 cm

Step-by-step explanation:

Let the length of each of the two equal sides be represented by x

The other side = 10 + x

Perimeter of triangle (P) = sum of all sides of the triangle

88 = x + x + 10 + x

88 = 3x + 10

3x = 88 - 10

3x = 78

x = 78/3 = 26

Length of each of the two equally long sides (x) = 26 cm

Length of the longer side = 10 + x = 10 + 26 = 36 cm


The lengths of the sides of a triangle are in the ratio of 6:6:5. The perimeter of the triangle
is 34 centimeters. Find the length of each side of the triangle.

Answers

Hello!

Answer:

12 cm, 12 cm, 10 cm.

Step-by-step explanation:

Given:

Perimeter, or P = 34 cm

Ratio of sides = 6 : 6 : 5

To find the length of each side, we can use a variable in the ratio to find the perimeter:

34 = 6x + 6x + 5x

Combine like terms:

34 = 17x

Solve for x:

34/17 = 17x/17; x = 2

Plug in this value of "x" into each expression for the side-lengths:

6(2) = 12 cm

6(2) = 12 cm

5(2) = 10 cm

Therefore, the lengths of each side of the triangle are 12 cm, 12 cm, 10 cm.

Hope this helped you! :)

Answer:

12, 12 and 10 cm.

Step-by-step explanation:

6 + 6 + 5 = 17

So one side = 6/17 * 34 = 12 cm

One other side is also 12 cm

The third side = 5/17 * 34 = 10 cm.

Solve the inequality $2x - 5 \le -x +12$. Give your answer as an interval.

Answers

Answer:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Step-by-step explanation:

[tex]2x - 5 \le -x +12[/tex]

[tex]2x - 5 +5\le -x +12+5[/tex]

[tex]2x\le -x+17[/tex]

[tex]3x \le17[/tex]

[tex]$x \le \frac{17}{3} $[/tex]

We have

[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]

Interval notation:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long. How long is each of the 7 smaller boards? Four-thirds StartFraction 7 over 9 EndFraction StartFraction 9 over 7 EndFraction Three-fourths

Answers

Answer:

9 over 7 end fraction three-fourths

Step-by-step explanation:

The length of the 7 smaller boards will be ''Four-thirds'' (4/3 feet).

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Diego cut 7 smaller boards of equal length from a board that is 9 1/3 feet long.

Now,

Since, Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long.

So, The length of the 7 smaller boards = 9 1/3 ÷ 7

                                                            = 28/3 ÷ 7

                                                            = 28/3 × 1/7

                                                            = 4/3 feet

Thus, The length of the 7 smaller boards will be ''Four-thirds'' (4/3 feet).

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PLZ ANSWER If the graph of the equation y=(x+2)^2 is reflected with respect to the y-axis, what is the equation of the resulting graph?

Answers

Answer:

y=(x-2)^2

Step-by-step explanation:

just simply change the sign.

Fill in the table using this function rule.
y=-6x-1

Answers

Answer:

5, -1, -7, -31

Step-by-step explanation:

When you plug in x digits you get these numbers.

By substituting different values of x, corresponding values of function y are 5, -1, -7, and -31 obtained as shown in the table.

What is a linear function?

"A linear function is a mathematical expression which, when graphed, will form a straight line. A linear function is a simple function usually composed of constants and simple variables without exponents"

For the given situation,

The function is y=-6x-1.

Substitute the different values of x in function y, to obtain the value of y.

For x = -1,

[tex]y=-6(-1)-1[/tex]

⇒ [tex]y=5[/tex]

For x = 0,

[tex]y=-6(0)-1[/tex]

⇒ [tex]y=-1[/tex]

For x = 1,

[tex]y=-6(1)-1[/tex]

⇒ [tex]y=-7[/tex]

For x = 5,

[tex]y=-6(5)-1[/tex]

⇒ [tex]y=-31[/tex]

The table below shows the values of x and the function y.

Hence we can conclude that by substituting different values of x, corresponding values of function y are obtained as shown in the table.

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Carver is trying to reproduce a scale drawing where every 3 in. will be equal to 2 feet. How long should Carver make the red line, in feet?

Answers

Answer:

6 ft

Step-by-step explanation:

Since the red line is 9 feet long, and we know that [tex]3\cdot3 = 9[/tex], we can note that 3 inches goes into 9 inches 3 times.

Now that we are making the red line increase by 2 feet for every 3 inches, we can multiply the values.

2 feet × 3 times = 6 feet

So Carver should make the red line 6 feet long.

Hope this helped!

Answer:

6ft

Step-by-step explanation:

If the scale is 3in:2ft then every 3 inches is equal to 2 feet. 9in can be divided into 3 3in sections and after the sections are scaled 3 2t sections which in all are equal to 6ft.

ΔPQR is located at P (−3, −3), Q (0, 0), and R (3, −3). Which statement correctly classifies ΔPQR?

Answers

Answer:

Isosceles Triangle

Step-by-step explanation:

An equilateral triangle is a triangle that has all of its 3 sides at an equal length. After drawing out the given points on a graph, you can clearly see that the foundation is longer than the other 2 sides. Because the 2 sides that I just mentioned happen to be of equal length, however, means that this triangle can be none other than an Isosceles triangle. If I did anything wrong here, let me know. Have a good rest of your day.  :D

Answer:

ΔPQR is an isosceles triangle.

Step-by-step explanation:

Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $35.25 and did provide supplies. Which equation could be used to find the number of windows, w , that Chad washed for this customer? A) 5.5 w + 3.25 = 35.25 B) 5.5 w - 3.25 = 35.25 C) 5.5 w = 35.25 D) 5.5 - 3.25 w = 35.25

Answers

Answer: D is correct if it is really (5.5-3.25)w=35.25

(Without parenthesis it doesn't work)

Answer:

B) 5.5 w - 3.25 = 35.25

Step-by-step explanation:

Chad charges $5.50 per window. ( 5.50w )

Since Chad's customer brought supplies, Chad would deduct $3.25. ( - 3.25)

The customer would be charged $35.25 at the end. ( = 35.25 )

So, the total of the cost of the windows minus the discount would be $35.25.

5.50w - 3.25 = 35.25

Option B's equation would be most appropriate to solve for w.

PLEASEE HEEELP! In the normal distribution, 68% of the data lies within 1 standard deviation A: __/6 of the mean, 95% of the data lies within 2 standard deviations of the mean, and 99.7% of the data lies within 3 standard deviations of the mean. Answer the following question without using the Z-table. If scores on a test are normally distributed with mean 1100 and standard deviation 100, what percentage of the test scores are: a) more than 1300? b) less than 1100?

Answers

Answer:

a) 2.5% b) 50%

Step-by-step explanation:

1300 is two standard deviations higher than the mean. Since 95% of the data is covered within two standard deviations to the left and right of the mean, 5% is not covered. So, we have 2.5% leftover on the left side of the curve, under 900, and 2.5% leftover on the right side of the graph that is above 1300.

The mean is 1100, so anything above or below the mean is exactly 50% in a normal distribution.

Answer:

Step-by-step explanation:

This is the Empirical Rule.

68% of the data lies within 1 standard deviation of the mean, and so on.

If the mean is 1100 and the standard deviation is 100, 1300 represents two standard deviations above the mean.  Using a calculator with distribution functions, we type in normcdf(2,10000), obtaining 0.023.  This tells us that 2.3 percent of test scores are more than 1300.

Less than 1100:  Since the mean is 1100, the area under the standard normal curve is exactly 0.5 (corresponding to 50% of data are less than 1100).

five sixths of a number equals 200. What is the number?

Answers

Answer: 240

Step-by-step explanation:

5/6x=200

(6/5)5/6x=200(6/5)

1x=40(6/1)

x=40(6)

x=240

Complete the point-slope equation of the line through ( − 1 , − 10 )and (5 , 2) y-2 =?

Answers

Answer:

y - 2 = 3(x - 5).

Step-by-step explanation:

We need to find the slope of the line.

[2 - (-10)] / [5 - (-1)] = (2 + 10) / (5 + 1) = 12 / 6 = 2 / 1 = 2

So, y1 = 2, x1 = 5, and m = 2.

y - 2 = 3(x - 5)

Hope this helps!

The formula for point slope is written as y - y1 = m(x -x1)

You are given y - 2 = ?

Since the 2 form the point (5,2) is the y1 value, then the 5 is equal to x1

The formula becomes: y-2 = m(x-5)

Now solve for the slope, which is the change in y over the change in x:

Slope = -10 - 2 / -1 - 5 = -12/-4 = 3

Now replace m to get y-2 = 3(x-5)

A line passes through the point (6,1)and has a slope of 3/2. write an equation in slope intercept form

Answers

Answer:

Step-by-step explanation:

Slope intercept form :  y - y1 = m(x -x1)

m = 3/2

(x1, y1) = (6, 1)

[tex]y - 1 = \frac{3}{2}(x - 6)\\\\y -1 = \frac{3}{2}*x -\frac{3}{2}*6\\\\y-1=\frac{3}{2}x-3*3\\\\y-1=\frac{3}{2}x-9\\\\y=\frac{3}{2}x-9+1\\\\y=\frac{3}{2}x -8[/tex]

Answer:

y=3/2 x  -8

Step-by-step explanation:

The slope should be in front of the x and the y intercept should be right after the x to create the slope intercept form. I used a graphing calculator which continued the line of 6,1 with a slope of 3/2 and then got

y=3/2x-8

find the value of a in this picture below

Answers

Answer:

[tex]\boxed{a=40}[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

[tex]a[/tex] is equivalent to all the other [tex]a[/tex].

Put up an equation and solve for [tex]a[/tex].

[tex]60+a+a+a=180[/tex]

[tex]3a+60=180[/tex]

[tex]3a=120[/tex]

[tex]a=40[/tex]

Answer:

Step-by-step explanation:

in the given figure;

a+60deg.+a+a=180 deg.

=> 3a+60=180

=> 3a=180-60

=> 3a=120

=> a=120/3

   =40 deg.

One day the temperature was 72°F. That night, the temperature was 44°F. What number represents the change in temperature?

Answers

Answer:

28°F

Step-by-step explanation:

We can find the change in temperature by subtracting 44 from 72:

72 - 44 = 28

So, the change in temperature was 28°F

The answer would be 28° Fahrenheit

Reason being is when you would like to find the difference between 2 numbers, you take the larger one and subtract it by the smaller, thus giving you how far apart they are

In this case 72°-44°=28°

helppppppp (08.06 MC)Consider the following dot plot. Of the following statements, which two characteristics of this dot plot make the median a better choice than the mean to summarize the center of the distribution?

Answers

Answer:

the data are skewed, D.

Step-by-step explanation:

50 POINTS!! Drag each label to the correct location on the image. Not all labels will be used. The values of a, b, and c in scientific notation are 3.47 × 10-6, 4.61 × 107, and 5.52 × 107, respectively. Complete the following sentences. Round so the first factor goes to the hundredths place. a*b a/b c/a 1.60 16.0 × 101 1.60 × 102 1.59 × 1013 0.75 × 10-13 7.53 × 10-13 7.53 × 10-14 1.59 × 101

Answers

Answer:

[tex]\boxed{a*b = 1.60 * 10^2}[/tex]

[tex]\boxed{a/b = 7.53 * 10^{-14}}[/tex]

[tex]\boxed{c/a = 1.59 * 10^{13}}[/tex]

Step-by-step explanation:

a = [tex]3.47 * 10^{-6}[/tex]

b = [tex]4.61 * 10^7[/tex]

c = [tex]5.52*10^7[/tex]

Finding a*b:

a*b =( [tex]3.47 * 10^{-6}[/tex] )*( [tex]4.61 * 10^7[/tex])

= (3.47*4.61) * ([tex]10^{-6}*10^7[/tex])

When bases are same, powers are to be added

= 15.997 * [tex]10^{-6+7}[/tex]

= 15.997 * [tex]10^1[/tex]

= 159.97

Rounding it off

=> 1.60 * 10²

Finding a/b:

=> [tex]\frac{3.47*10^{-6}}{4.61*10^7}[/tex]

Using rule of exponents [tex]a^m/a^n = a^{m-n}[/tex]

=> 0.753 * [tex]10^{-6-7}[/tex]

=> [tex]7.53*10^{-1}*10^{-13}[/tex]

=> [tex]7.53 * 10^{-1-13}[/tex]

=> 7.53 * 10⁻¹⁴

Finding c/a:

=> [tex]\frac{5.52 * 10^7}{3.47*10^{-6}}[/tex]

=> 1.59 * [tex]10^{7+6}[/tex]

=> 1.59 * 10¹³

Answer:

a × b = 1.60 × 10^2

a/b = 7.52 × 10^-14

c/a = 1.59 × 10^13

Step-by-step explanation:

a = 3.47 × 10^-6

b = 4.61 × 10^7

c = 5.52 × 10^7

Solve a × b

(3.47 × 10^-6) × (4.61 × 10^7)

When bases are same in multiplication, we add the exponents.

15.9967 × 10^1

Decimal point is after first non-zero digit. Round to hundredths.

1.60 × 10^2

Solve a/b

(3.47 × 10^-6)/(4.61 × 10^7)

When bases are same in division, subtract the exponents.

3.47/4.61 × 10^-14

0.75271149674 × 10^-14

Decimal point is after first non-zero digit. Round to hundredths.

7.52 × 10^-14

Solve c/a

(5.52 × 10^7)/(3.47 × 10^-6)

When bases are same in division, subtract the exponents.

5.52/3.47 × 10^13

1.59077809798 × 10^13

Round to hundredths.

1.59 × 10^13

lands on a field. The height of the ball, in meters, is modeled by the function shown in the graph. What's the average rate of change of the height of the ball from the point when John throws it to its maximum height? Question 10 options: A) 2 meters per second B) –1∕2 meters per second C) –2 meters per second D) 1∕2 meters per second

Answers

Answer:

  A) 2 m/s

Step-by-step explanation:

The ball increases from its thrown height of 3 meters to its maximum height of 7 meters in 2 seconds. That's an average rate of increase of ...

  (4 m)/(2 s) = 2 m/s

The average rate of change of height is 2 meters per second.

Answer:  2m/sec

Step-by-step explanation:  From the graph we see that the ball went from 3 meters to 7 meters, a difference of 4m.  It took 2 seconds to reach that height.

The average is found by dividing 4m/2sec

The result is 4m/sec

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