The average thickness of a chicken eggshell being 0.000356 m is written as a single digit times an integer power of 10 as: 4 × 10^{-4} (approx)
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as:
Better readability due to compact representation
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
We're given that:
Average thickness of a chicken eggshell = 0.000356 m
We can rewrite it as:
[tex]0.000356 = \dfrac{356}{1000000} = \dfrac{3.56}{10000}= \dfrac{3.56}{10^4} = 3.56 \times 10^{-4}[/tex]
Since we need to write it as a single digit times an integer power of 10, therefore, we get:
[tex]3.56 \times 10^{-4} \approx 4 \times 10^{-4}[/tex]
Thus, the average thickness of a chicken eggshell being 0.000356 m is written as a single digit times an integer power of 10 as: 4 × 10^{-4} (approx)
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PJ's Pizza Place bases its pizza prices on the size of the pizza and the number of toppings. The price of a medium pizza, in dollars, is 9+2t, where t is the number of toppings.
What is the price of a medium pizza with 3 toppings?
Answer:
The price of a medium pizza with 3 toppings is $15.
Step-by-step explanation:
If "t" represents the number of toppings, you will use the expression "9+2t" and plug in 3 for t (since there are 3 toppings)
So it will look like:
9+2(3)
Then you're gonna use PEMDAS, multiply 2*3
9+6
And then you get an answer of $15
Hope this helps :))
Malik invests money in an account paying simple interest. He invests $80 and no money is added or removed from the investment. After one year, he has $83.20. What is the simple percent interest per year?
Answer:
4%
Step-by-step explanation:
The interest earned on the investment is the difference between the end-of-year value and the initial value:
$83.20 -80 = $3.20 . . . . simple interest per year
__
The interest rate is the ratio of this to the initial investment:
$3.20/$80.00 = 0.04 = 4% . . . . . simple interest rate per year
Find the rule and solve for n
Please help me I need this now.
Answer:
n = 6
Rule: Times 3
Step-by-step explanation:
Richard and Nestor create paintings. Richard creates 40 paintings in 28 days.
Nestor creates 45 paintings in 5 weeks. Who creates paintings at a faster rate?
Show your work
Answer:
Richard
Step-by-step explanation:
28 days=4 weeks
40 paintings in 4 weeks
45 paintings in 5 weeks
Richard weekly rate: 40/4=10 paintings per week
Nestor weekly rate: 45/5=9 paintings per week
If richard's rate is 10 while nestor's is 9, richard has a faster rate
Alexa purchased a new car valued at $30,000 that depreciated continuously at a rate
of 25%. Its current value is $12,000. The equation 12000 = 30000(1 r)t
represents the situation, where t is the age of the car in years and r is the rate of
depreciation. About how old is Alexa's car? Round your answer to the nearest year.
• 2 years
• No Solution
O 1 year
• 3 years
O 5 years
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\$12000\\ P=\textit{initial amount}\dotfill &\$30000\\ r=rate\to 25\%\to \frac{25}{100}\dotfill &0.25\\ t=years\\ \end{cases}[/tex]
[tex]12000=30000(1 - 0.25)^{t}\implies \cfrac{12000}{30000}=(1 - 0.25)^{t}\implies \cfrac{2}{5}=0.75^t \\\\\\ \log\left( \cfrac{2}{5} \right)=\log(0.75^t)\implies \log\left( \cfrac{2}{5} \right)=t\log(0.75) \\\\\\ \cfrac{~~\log\left( \frac{2}{5} \right)~~}{\log(0.75)}=t\implies 3\approx t[/tex]
this is the question
Answer:
1.D
2.B
3.F
4.E
5.A
6.C
Rectangle A′B′C′D′ is a dilation of rectangle ABCD.
What is the scale factor?
Enter your answer in the box.
Answer:
Scale factor = 4
If you multiply by 4 the two sides of ABCD, you will get the corresponding sides of A’B’C’D’
What is 4/25 × 2? Give your answer in its simplest form.
Answer:8/25
Step-by-step explanation: 4/25 ×2/1
Answer: hii
Exact form:
8/25
Decimal Form:
0.32
_____________________
Step-by-step explanation:
Simplify the expression.
Answer: 8/25Hopefully this helps you
- Matthew
If the volume of the right prism shown is 27 ft3, then h = __feet.
Answer:
h=6
Step-by-step explanation:
To find the volume of a right angle prism-
Find area of cross-section, in this case an isoscles triangle so we know that both of the parallel lines are 3ft
To find the area of the cross-section, do:
3 x 3 = 9
9 ÷ 2 = 4.5 (Area of cross-section)
Since we don't know the length of h, we need do:
27^3 ÷ 4.5 = 6
Therefore 6 is h
Hope I explained it okay:)
Each grade level at a school for magic has 289 students. There are 12-grade levels.
How many students attend the school for magic?
Answer:
3468 students
Step-by-step explanation:
289 x 12 = 3468
Describe the transformation of f(x) = cos x to g(x) = cos(x - pie/4).
Answer:
The Answer is C.
Step-by-step explanation:
f(x) = cos x , g(x) = cos(x - π/4)
Equation: f(x) = a * cos (x - h) + k
Since the equation only has h = π/4, it means that it shift right.
What is the area of this triangle?
15.75 in²
31.5 in²
63 in²
Answer:
31.5 in²
Step-by-step explanation:
The area of a triangle is calculated with the following formula:
1/2*b*h (b: base, h: height)
The height of this triangle is given as 9 and base is 7
1/2*7*9 = 31.5 in²
Answer:
31.5 in²
Step-by-step explanation:
Find the area of the triangle PLEASE HELP ME
Answer:
75
Step-by-step explanation:
because the formula of finding the area of a triangle is base times height divided by 2 so thatshow you get the answer, multiply 10by15 and then divide by 2
Answer:
The answer would be 75 ft ^2
Step-by-step explanation:
Step 1. Do 15x10 (which equals 150)
Step 2. Divide by 2 to get the answer of 75
Step 3. Label to get 75 ft ^2
mean of 12, 2, 64, 0, 48, 4, 6, 80
Answer:
Mean 27
Median 9
Mode 12, 2, 64, 0, 48, 4, 6, 80
Step-by-step explanation:
How would I find the volume of the pyramid
A model ship uses the scale 1 inch : 10 feet. If the model is 9.5 inches long, the ship is ____ feet long
Answer:
i got 95 inches
Step-by-step explanation:
Step-by-step explanation:
9.5*10=95
Hope it helps!A shirt costs ₱560. The store is giving a 6% discount if you buy this. How much will you pay for this shirt? need answers asap
Answer:
526.4
Step-by-step explanation:
560 - 6%
= 526.4 you will pay for the shirt
Question is in image below.
Answer:
√99, 9.8 repeating, π2
Step-by-step explanation:
hope this helped!
Help me with this question please 9th grade algebra 1, I'm giving 25 points
Answer:
(a) r = -0.947928522
(b) strong, negative
Step-by-step explanation:
The Product Moment Correlation Coefficient (r) measures the strength of the linear correlation between two variables.
The PMCC is always between +1 and -1.
The closer the value of r is to +1 or -1, the stronger the correlation between the two variables.
Values close to +1 mean a strong, positive correlation.Values close to -1 mean a strong, negative correlation.Values close to zero mean a weak correlation.Inputting the data from the table into a calculator and using the statistical function:
r = -0.947928522
As the value of r is close to -1, the best description for the correlation would be strong, negative
What is the theoretical probability of
randomly picking a triangle from the shapes
below?
Answer:
A, 3/7.
Step-by-step explanation:
There are 7 shapes overall shown. Since there are 3 triangles, we need to do 3/7.
Answer: 3/7
Step-by-step explanation:
Number of triangles / total number of shapes
3 2/3 times 5 1/7 = ?/3 times ?/7 =
Answer:
is that 32 / 3 or 3^2/3 ...?
Step-by-step explanation:
if 32/3 and 51/7
then answer will be 1120/17
There are 12 athletes at a track meet. How many different ways can they finish first,second, and third?
Answer:
1320
Step-by-step explanation:
12 x 11 x 10 = 1,320
What does the fictional account of the epidemic include that the nonfictional account does not? george washington’s feelings details about the setting dialogue between made-up characters details about yellow fever
The thing which the fictional account of the epidemic includes that the nonfictional account does not is the c, dialogue between made up characters.
What is a Fictional Account?This refers to the narration about a set of events by an author that is not real or true but is a figment of the imagination of the writer.
Hence, we can see that from the complete text, there are the details of the given text to show the differences between the fictional and non-fictional accounts which was the c, dialogue between made-up characters.
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-73 + 8x = 55
and i also need to do the check
Answer:
8x=55+73
8x=128
X=128/8
X=16
Step-by-step explanation:
check:
-73+8(16)=55
-73+128=55
55=55
I hope you understand
PLEASE HELP 30 PTS!!
Answer:
A to C is [tex]37.51\ ft[/tex]
Step-by-step explanation:
We are given an angle and the base length. Recall:
[tex]tan(x) = \frac{opposite}{adjacent}[/tex]
Add the values:
[tex]tan(15) = \frac{x}{140}[/tex]
Solve for x:
[tex]tan(15) = \frac{x}{140}\\tan(15) * 140 = x\\37.51 = x[/tex]
can someone answer 55 ÷ (9 - 4) ⋅ 8 for me please,
Answer:
88
Step-by-step explanation:
PE M/D A/S
55/ (9-4) *8
9-4=5
55/5*8
11*8
88
What is negative 2 square root of 45 plus 2 square root of 20
Answer:
-2 square root 5
Step-by-step explanation:
Michelle built a fence around her square garden. If Michelle used 72 yards of fencing to enclose her garden, what is the length of each side?
16 yd
36 yd
18 yd
12 yd
Best answer gets brainliest!
Jason received the following scores on his homework assignments for Unit 3 89, 91, 94, 93, 93, 67, 90, 91 a. Find the mean b. Find the median C. Find the mode d. Which landmark better represents Jason's overall grade? Why?
Answer:
a: 88.5
b: 91
c: 91, 93
d: 88.5 AKA: the mean value.
Step-by-step explanation:
For answer D: A mean is defined as the mathematical average of the set of two or more data values which makes is perfect for calculating an overall grade by averaging all unit points together.
Answers:
Mean = 88.5Median = 91Mode = 91 and 93 are both the modeThe median is the best measure of center=======================================================
Explanation:
Part (a)
To get the mean, first we add up the scores
89+91+94+93+93+67+90+91 = 708
Then we divide over 8 since there are 8 scores total
708/8 = 88.5
The mean is 88.5
-----------------
Part (b)
To get the median, we first need to sort the values from smallest to largest.
That sorted set looks like: {67,89,90,91,91,93,93,94}
Now cross off the first and last values to get this smaller subset: {89,90,91,91,93,93}
Repeat the last set of steps to cross off the first and last items to get {90,91,91,93}
Do this one more time to get {91,91}. The midpoint of these two values is 91, so it's the median of the entire original set.
The median is 91.
-----------------
Part (c)
The mode is {91, 93}
In other words, we have two modes and they are 91 and 93. It's perfectly possible to have more than one mode. The mode is the most frequent item(s). In this case, both 91 and 93 show up exactly twice which is the most of any other value.
As you can see, the mode isn't particularly useful as a single measure of center since we have two values instead of 1.
-----------------
Part (d)
As mentioned in the previous section, the mode isn't useful in this case. So we can rule it out. We can also rule out the mean because the value 67 is far from the group of other values (which is basically like the main cluster). We consider 67 an outlier.
The outlier pulls on the mean to be smaller than it should be. The median is a better measure of center since it's not affected by outliers.
As a real world example, consider home prices. The median price is used because of very expensive multimillion dollar mansions that greatly skew the mean to be larger than it should be.
What is the exact value of sinA?
sinA=
Answer:
Step-by-step explanation: