At 5 P.M., the total snowfall is 5 centimeters. At 11 P.M., the total snowfall is 12 centimeters. What is the mean hourly snowfall? Write your answer in simplest form as a fraction or mixed number.

The mean snowfall is (BLANK) centimeters per hour.

Answer:

4

Step-by-step explanation:

Here's my method of doing this:

We'll be using logarithms

Our question is:

[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex]\frac{1}{729}[/tex]

If we don't want to evaluate any powers at all we'll have to make each term have the same base (so that we can ignore the base — [tex]\frac{1}{3}[/tex])

we need to figure out what power of a [tex]\frac{1}{3}[/tex] the [tex]\frac{1}{729}[/tex] is.

what we can do is the following:

[tex](\frac{1}{3})^?[/tex] = [tex]\frac{1}{729}[/tex]

[tex]3^?[/tex] = 729

If we take the "log" of each, we can find out what power of 3 gives 729.[tex]log(3^?) = log\ 729[/tex]

We must remember this rule: [tex]log(a^n) = n \times log(a)[/tex]

[tex]? \times log 3 = log 729[/tex]

[tex]? = \frac{log\ 729}{log\ 3}[/tex]

? = 6 (with a calculator)

This means that to get 729, we need to do [tex]3^6[/tex]

Therefore [tex](\frac{1}{3})^6 = \frac{1}{729}[/tex]

We can now solve the equation!

[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex]\frac{1}{729}[/tex]

[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex](\frac{1}{3})^6[/tex]

Since each term of our equation has the same base of  [tex]\frac{1}{3}[/tex] we can ignore it and just deal with the powers!

We must remember this rule: [tex]x^a \times x^b = x^{a + b}[/tex]

Using this rule:

[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex](\frac{1}{3})^6[/tex] becomes...

[tex]2 + x = 6[/tex]

[tex]x = 6 - 2 = 4[/tex]

Answer:

Read Explanation

Step-by-step explanation:

I will go in order from left to right on the top row, then go down to the bottom row and go from left to right. (btw most of these are just cutting shapes into smaller pieces)

1st shape:(40)+(40)+(5*4=20/2=10)

80+10=90cm

2nd shape:36+60=96cm

3rd shape: 56+(4*8/2)   56+16=72cm

4th shape: 12+55+5= 12+60=72 cm

5th shape:4+88=92 cm

6th shape:68 as it is the last option

Answer:

Angle C= 79 degrees

Angle X= 62 degrees

Yes, the two triangles are similar because all the angles are congruent. The requirement for two triangles to be similar is if two corresponding angles are equal.

Step-by-step explanation:

A triangle is 180 degrees.

So adding the angles of triangle ABC, 62+39=101

180-101=79, so angle c is 79 degrees

Adding the angles of triangle XYZ, 39+79=118

180-118=62, so angle x is 62 degrees

Answer:

Angle C= 79 degrees

Angle X= 62 degrees

Step-by-step explanation:

The combined height of the flowers Persia uses will be 61 1/4 inches. Then the correct option is C.

Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.

The line plot below shows the heights of flowers grown by the students in one of the fifth-grade classes. Persia makes a flower arrangement using the 8 longest flowers.

Then the combined height of the flowers Persia uses will be

→ 6.5 + 6.75 + 7 + 7.25 + 7.5 + 7.75 + 8.5 + 10

→ 61.25

The number 61.25 can be written as

→ 61 and 1/4 inches

More about the dot plot link is given below.

https://brainly.com/question/22746300

#SPJ2

Answer:

9/41+10/41 which is 19/41

Step-by-step explanation:

If its right, mark me as brainliest

The value of [tex]x[/tex] such that [tex]\dfrac{18}{10}[/tex] more than a number of [tex]x[/tex] is equal to [tex]\dfrac{29}{5}[/tex] is [tex]4[/tex].

Draft a linear mathematical equation from the given data and solve the same to determine the value of [tex]x[/tex].

Solution

According to the question,

[tex]x+\dfrac{18}{10}=\dfrac{29}{5}\\x=\dfrac{29}{5}-\dfrac{18}{10}\\x=\dfrac{29-9}{5}\\x=4[/tex]

As a result, the value of [tex]x[/tex] is [tex]4[/tex].

Learn more about Linear equations here- https://brainly.com/question/15389595?referrer=searchResults

#SPJ2

Answer:

[tex]p(even)= \frac{6}{11}[/tex]

Step-by-step explanation:

It's given in the question that;

The spinner is divided into 11 equal sections from 0 to 10.

You spin the spinner ONCE!

The total number of possibilities is six, and the total number of sample spaces is 11.

So the probability of getting an even number is; [tex]p(even)= \frac{6}{11}[/tex]

I hope this helps!  

Answer:

130

Step-by-step explanation:

130 because 130 +15 is equal to 145 and if the angles cross they're the same measure

Answer:

166

Step-by-step explanation:

Do the parathisis first

(2x12)=24

(5x6)=30

Then do

220-24-30=166

Answer:

166

Step-by-step explanation:

Answer:

if were solving for X, that's the answer

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

Answer:

The area decreases by 1155.52 square meters

Step-by-step explanation:

What we must do is calculate the area before and after making the diameter cut.

The area of a circle is equal to:

a = pi * r ^ 2

now the diameter is equal to:

d = 2 * r

therefore r,

r = d / 2

before the cut would be

r = 96/2

r = 48

replacing in the area formula

a1 = 3.14 * 48 ^ 2

a1 = 7234.56 square meters.

after cutting the diameter decreases by 8, that is, 96 - 8 = 88, calculating the radius would be:

r = 88/2

r = 44

now calculating the new area would be:

a2 = 3.14 * 44 ^ 2

a2 = 6079.04 square meters.

now we calculate the difference

a1 - a2 = 7234.56 - 6079.04

= 1155.52 square meters

means that the area decreases by 1155.52 square meters

Answer:

The radius is 0.398 feet to produce a perfect lawn for the lawnmower.

It is given that the width of the lawnmower is 2.5 feet and the length of the rope is 25 feet.

It is required to calculate the radius (R) of the pole that will produce a perfect lawn.

What is a circle?

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have,

Width of the lawnmower =  2.5 feet

Length of the rope = 25 feet

For the perfectly mowed lawn, it means the lawnmower width which is 2.5 feet must wrap the pole with radius R, mathematically:

The perimeter of the pole = width of the lawnmower

2πR = 2.5

R =  0.398 Feet     ( π = 3.14 )

Thus, the radius is 0.398 feet to produce a perfect lawn for the lawnmower.

From the stem and leaf plot, we get the following data points-

10, 23, 23, 28, 33, 45, 80, 90

First of all, the data should be arranged in the ascending order. The given data is already in the ascending order, so we can proceed directly.

The formula that is used to calculate the IQR is Q3-Q1, which is the difference between the third and the first quartile of the given data.

Now we need to find the median for the data given for the second quartile. Median is the average of the two central values- 28 & 33.

Hence we get Q2 = (28 + 33) / 2 = 30.5.

Now we find the median for Q1, which is the median of the lower part of the given data which is 10, 23, 23, & 28. (23 + 23) / 2 = 23.

Similarly, for Q3, which is the upper part- 33, 45, 80, and 90. We get (45 + 80) / 2 = 62.5.

Now we should subtract Q1 from Q3: Q3 - Q1 = 62.5 - 23 = 39.5.

So, the interquartile range is 39.5.

Here's a similar problem you can try to solve-

https://brainly.com/question/29173399?referrer=searchResults

18m^2

area of a trapezoid = (a+b)/2 * h, where a and b are bases 1 and 2, and h is height

(4+8)/2 * 3

= 12/2 * 3

= 6 * 3

= 18

Answer:

spark addition is a left to right addition

Answer:

See below

Step-by-step explanation:

If the diameter is doubled, the circumference is doubled. It is shown here:

18 * 3.14 = 56.52

36 (doubled diameter) * 3.14 = 113.04

If the circumference with the doubled diameter divided by the circumference of the original diameter comes out as 2, then it is proven that doubling the diameter doubles the circumference.

113.04/56.52 = 2.

The image for the rest is attached.

Answer:

Step-by-step explanation:

The Radius is (1/2) of the diameter, so to get the diameter we will multiply the radius by 2.

1. 9*2=18in

The we multiply the diameter by [tex]\pi[/tex] to get the cicumference.  We know to do this because the equation of the circumference is C=[tex]\pi[/tex]d or C=2[tex]\pi[/tex]r. (p.s [tex]\pi[/tex]=3.1415926)

2. 18in*(3.1415926)=56.5487in

3. If the diameter is doubled the circumference is also doubled.  We know this because of the equation C=[tex]\pi[/tex]d. The circumference is dependant upon the diameter and grows (or shrinks) with it.

Answer:

The answer is B

Step-by-step explanation:

find the average of how many she inspected every day:

(30+35+40+45+50)  /   5     =   40

(6+4+4+5+3)   /    5    =  4.4

so on average, she inspected 40 shirts a day and found (technically) 4.4 defects

so to find the percentage we do this:

4.4/40 * 100 = 11%

so the answer is B

Answer:

19 yards squared

Step-by-step explanation:

3x5=15

2x2=4

15+4=19

Answer:

5 Students with 3 Emails.

Step-by-step explanation:

+        
+        
+      +
+      +       +
+      +       +
+      +       +      +
+      +       +      +      +
+      +       +      +      +       +

1       2      3      4      5      6

Answer:

40,905

Step-by-step explanation: that's what i got

Answer:

C.

Step-by-step explanation:

Answer:

3x+y=8 and 3x+y=9

Step-by-step explanation:

Assume these two equations:

a1x+b1y+c1=0

a2x+b2y+c2=0

If (a1/a2) = (b1/b2) ≠ (c1/c2) than those two would have no solution.

In these case, take a look at the last option:

[tex]3x + y = 8 \\ 3x + y = 9[/tex]

Re-write 'em as a standard form:

[tex]3x + y - 8 = 0 \\ 3x + y - 9 = 0[/tex]

So (a1/a2) = (b1/b2) ≠ (c1/c2) is true here:

[tex] \frac{3}{3} = \frac{1}{1} ≠ \frac{ - 8}{ - 9} [/tex]

And they do not have any collision point

Answer:

The Ten People To March In The Sportsmanship Parade.

Step-by-step explanation:

Answer:

chicken:46

salad: 115

burgers: 92

fruit:138

Step-by-step explanation:

chicken: 575*8%=46

salad: 575*20%=115

burgers: 575* 16% =92

fruit:575*24%=138

Answer:

:what is the question

Growth rate = 5/2 inches per month

The fur length after y months:

Fur length = 5/2 × y

Therefore, to have a fur length of 15/4 inches :

15/4 = 5/2 × y

3.75 = 2.5y

Divide both sides by 2.5 to isolate y

3.75/2.5 = y

1.5 = y

it will take a month and half to have a fur of 15/4 inch length

Answer:

1.5 months

Step-by-step explanation:

First, make [tex]\frac{5}{2}[/tex] so it has a common demoninator as [tex]\frac{15}{4}[/tex].

We need the demoninator to be the same so we can multiply [tex]\frac{5}{2}[/tex] by 2 to make it [tex]\frac{10}{4}[/tex].

So, a rabbit's ear grows [tex]\frac{10}{4}[/tex] of an inch in a month.

To find how many months, it will take, we have to divide [tex]\frac{15}{4}[/tex] by [tex]\frac{10}{4}[/tex].

To divide fractions, we can multiply with the reciprocal.

So,  [tex]\frac{15}{4}[/tex] * [tex]\frac{4}{10}[/tex] is [tex]\frac{60}{40}[/tex] which reduces to [tex]\frac{6}{4}[/tex] which, in decimal form is equal to 1.5 months.