2.
Jamie used a microscope to measure the diameter of a hair. She found that the
diameter of the hair was 0.000072 meter. How is this number written in scientific
notation?
A. 7.2x10.5
B. 7.2 x 106
C.7.2 x 105
D.7.2 x 10
Type Your
Answer:
7.2 *10⁻⁵
Step-by-step explanation:
Given the diameter of the hair expressed as 0.000072, we are to express it in scientific notation.
The standard form of scientific notation is expressed as;
A * 10ⁿ
A is a value from 1 to 9
n is any integer.
Rewriting 0.000072 in this form, we will need to shift the decimal point to the front 5 times to have;
0.000072 = 7.2 *10⁻⁵ where;
A = 7.2 and n = -5
Note that the power is a negative value since the value is less than 1.
What are the coordinates of point R?
Answer:
The last one (-1,5)
Step-by-step explanation:
From (0,0), the R coordinate is one to the left meaning the x is negative and five up which means the y is positive 5 so... (-1,5) is the new location of R.
A contractor bought 6.4 ftof sheet metal. She has used 3.7 ft2 so far and has $43.20 worth of
sheet metal remaining. The equation 6.4x - 3.7x = 43.2 represents how much sheet metal is
remaining and the cost of the remaining amount. How much does sheet metal cost per square
foot?
Sheet metal costs $
per square foot.
-need help ASAP- please and thank you
Answer:
$16
Step-by-step explanation:
To find the cost per square foot we have to solve the given equation for x:
6.4x - 3.7x = 43.2
2.7x = 43.2
Divide both sides of the equation by 2.7 to isolate the x:
2.7x/2.7 = 43.2/2.7
x = 16
The sheet metal costs $16 per square foot.
Hope this helps :)
What is the value of sin(t) if Cos(t)=4/5 and t is in quadrant 1
Answer:
0.6 or 3/5
Step-by-step explanation:
If cos(t) = 4/5, then, taking the arccos of both sides, t ≈ 36.86989765. Taking the sin of that gives you 0.6, or 3/5 in fraction form.
A grocery store recently changed their apple supplying vendor. The vendor told the store manager that the mean weight for each apple is bell-shaped with # mean of 7.5 ounces and a standard deviation of 1.33 ounce (a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples? (b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces? (c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b? Explain it.
Answer:
b) 0.0042495
c) 0.048021
Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c
Step-by-step explanation:
mean of 7.5 ounces and a standard deviation of 1.33 ounce
When random number of samples are given, we solve using z score with the formula
= z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
n is the random number of samples
(a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples?
(b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces?
x > 8.2 ounces
= z = (x - μ)/σ/√n
z = (8.2 - 7.5)/1.33/√25
z = (8.2 - 7.5)/1.33/5
z = 2.63158
Probability value from Z-Table:
P(x<8.2) = 0.99575
P(x>8.2) = 1 - P(x<8.2) = 0.0042495
(c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b?
For n= 10
x > 8.2 ounces
= z = (x - μ)/σ/√n
z = (8.2 - 7.5)/1.33/√10
z = 1.66436
Probability value from Z-Table:
P(x<8.2) = 0.95198
P(x>8.2) = 1 - P(x<8.2) = 0.048021
Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c
1. What is the value of w?
(1 point)
w
30°
n
73
07
O 3.5
073
O 14
E
Answer:
17=.y+1. 0.14
Step-by-step explanation:
PLZ HURRY IT'S URGENT!!!
The USC basketball team scored over 100 points in its last game. Some baskets, x, were worth 2 points and other baskets, y, were worth 3 points. Write an inequality to represent the score.
options:
2x+3y 100
2x+3y≤100
2. For the inequality y
options:
True
False
Answer:
its 2x+3y>100
Step-by-step explanation:
BTW the greater than sign is greater than or equal to I just cant input that sign so make sure the sign is > with a line underneath it.
What’s is the rate of change for the line that goes through the points (8,14) and (11,19.25)
Answer:
Rate of Change / Slope = 1.75 (or 7/4)
Step-by-step explanation:
Slope is Rise/Run which is (y2-y1)/(x2-x1). When we plug in both ordered pairs, we get (19.25-14)/(11-8)=5.25/3=1.75 as the slope.
The rate of change is the ratio of the rise and the run of the line. Hence, the rate of change of the line is 1.75
Rate of change = (Rise / Run)Rise = y2 - y1 = (19.25 - 14) = 5.25
Run = x2 - x1 = (11 - 8) = 3
Rate of change = (5.25 / 3) = 1.75
Therefore, the rate of change for the line is 1.75
Learn more : https://brainly.com/question/18904995
PLz HELP I BEG I GIVE U BRAINLYEST
Answer:
I believe it is 19.8
Step-by-step explanation:
well if 9 is the number then I would do
9.9 +
9.9
______
I get 19.8
Tell me if I am wrong :)
Answer:
a.b+c.d=_
Cancellation of the c here requires that it appears in each additive term of the numerator and denominator: ca + cb cd. = c(a + b) cd. = a + b d but ca + b.
Step-by-step explanatin:
you just had to add both of them together and I showed you how, and what the answer is.
A square lawn has a area 98ft a spin keeper placed at the center of the lawn sprays water in a circular pattern that just covers the lawn what is the radius of the circle
Answer:
Step-by-step explanation:
Given the area of the square as A = 98ft²
The side length of the square will be equivalent to the diameter of the circle.
First we need to get the length of the square.
Area of a square = L^2
98 = L²
L = √98
L = 9.89 ft
Hence the diameter of the circle is 9.89 ft
radius = diameter/2
radius = 9.89/2
radius ≈ 4.95 feet
Hence the radius of the circle is approximately 4.95 feet
lupita and kevin walk to school.lupita walks 3/5 mi.kevin walks 0.65 mi.who walks a greater distance to school?how much greater?
Answer:
0.05
Step-by-step explana
3.
1
y=x+3
1
slope: +: y-intercept: 3
4
B slope: 4; y-intercept: -3
1
slope: ; y-intercept: -3
D slope: 4; y-intercept: 3
PLEASE HELP ME
Answer:
A
Step-by-step explanation:
remember y=Mx+b where M is slope mad B is y intercept
What percent is Rs15 of Rs 60?
Answer:
25%
Step-by-step explanation:
25% of 60 = 15
16. [-12 Points]
DETAILS
CURRENMEDMATH11 3.S.001.
Solve the equation. A calculator may be used.
Express your answer to the nearest tenth.
0.8 1.4.
X
0.45 1
Express your answer to the nearest hundredth.
1.4
0.8
Х
0.45
=
1
Answer:
Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.
Scale is 1cm=8km
Hatboro and Smithville are 24cm apart on the map. What is the actual distance between the 2 cities
Answer:
192 km
Step-by-step explanation:
the same ratios apply to the situation
if 1 cm is 8 km, 24 cm could be calculated using ratios
1/8 = 24/x
Graph the line y=2+1/x
2+1= 3
So is three ;-;?
Answer:
THERE U GO
Step-by-step explanation:
HOPE THIS HELPS
Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?
Answer:
n = 1, this means the interest compounds ANNUALLY.
Step-by-step explanation:
Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?
Compound Interest Formula
: A = P(1 + r/n)^nt
A = Amount after time t
P = Principal (Initial Amount Invested)
r = Interest rate
n = Number of times the interest is compounded
t = time in years
A = $30,541.83
r = 4.6% = 0.046
t = 30
P = $7,924
Hence,
$30,541.83 = $7924(1 + 0.046/n)^30n
Divide both sides by 7924
$30,541.93/$7924 = (1 + 0.046/n)^30n
$30,541.93/$7924 = (n + 0.046/n)^30n
3.8543576477 = (n + 0.046/n)^30n
We take the logarithm of both sides
log 3.8543576477 = log (n + 0.046/n)^30n
Solving for n,
n = 1
Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.
6. Află termenul necunoscut
Un punct
a+ 5762= 8753
*
O
a= 2999
O
a= 2919
O
a= 2991
Answer:
2999
Step-by-step explanation:
a coz terminal nenu .
add by that
Answer:
a... Is.... 2991.....
Slope is - 1 and (0, 2) is on the line
The number 1.255 is an example of a terminating or repeating
decimal number?
Answer:
Terminating
Step-by-step explanation:
Since the number ends exactly after 3 decimal places, it is a terminating decimal number.
On the other hand, repeating decimal numbers are numbers such as 2.33... or 8.66... that repeat the number forever.
So, the number 1.255 is terminating.
jack was 8 years older than priscilla. together their ages totaled 154 years. what were their ages?
Answer:
Jack is 81, Priscilla is 73
Step-by-step explanation:
Because their age difference is 8 years, we can subtract 8 from the total 154 years to get 146. Then we divide by 2 to get 73, so Priscilla is 73. Jack is 8 years older, so therefore he is 81. We can check this by adding 81 + 73 = 154.
What is the y-intercept of 6x + 12y = 60
Answer:
it means when x =0
so 6*0+12y=60
12y=60
y=5
Step-by-step explanation:
Answer:
In y intercept x = 0
so,we replace 0 in place of x
Step-by-step explanation:
6*0+12y=60
0+12y=60
y=60/12
y=5
Solve: look at the picture please
Answer:
No solution
I hope this helps!
Which of the
following represents
this graph?
A. y = (x+11
B. y = |x-1|
c. y = xl-1
D. y = |x|+1
Answer:
A. y=|x+1|
Step-by-step explanation:
what I like to use when figuring these out(mainly for homework) is a website called Desmos. You basically just plug in whatever equation/expression in and it will graph it for you. My Algebra teacher even allows me to. So all I did was plug in each equation until it matched the graph presented. Hope this helps!
The equation represented by the graph is y=|x+1|
How to determine the equation?The equation is an absolute value graph
The parent function of an absolute value graph is:
y = |x|
The above function is shifted to the left by 1 unit.
This transformation is represented by y=|x+1|
Hence, the equation represented by the graph is y=|x+1|
Read more about function transformation at:
https://brainly.com/question/17586310
#SPJ2
(5 marks)
b) Anthony plans to take up business and purchase a shop lot near his home. He saves
RM10,000 in an account that pays 6% compounded every four months. Four years
later, he withdrew all his money to pay for the down payment of the shop lot.
D)
Find the value of the down payment.
(3 marks)
I thought this right but sorry if it is wrong
first make the 6% in amount by 6×10,000÷100=3600
then, the convert 4 year into month by (4×12)=48month. after that divide 48months by 4 month.i.e.48÷4=12.at last multiply 12 by 3600.i.e. 12×3600=43200
May someone help me with this please?!
Factor the polynomial function over the complex numbers.
f(x)=x4+3x2−4
Enter your answer in the box.
f(x)=
Answer:
14
Step-by-step explanation:
I am pretty sure its 14 if not im so sorry
Agourmet coffeeshop bought 45 pounds of roasted coffee beans in two weeks. If they bought 20 pounds the second week, how many pounds did they buy the first week?
Please Help
Answer:
yeeyyesyyyseyas
Step-by-step explanation:
IL Directions: Encircle the letter of the correct answer.
1. When you add the decimal numbers 0.25, 0.033 and 1.78 the result is ?
A. 0.263
B. 0.0263
C. 2.063
D.2.2063
2. What is the difference when 43.67 is subtracted from 125.5?
A. 81.83
B. 81.17
C. 81.87
D. 81.57
3. Valerie, Gianna and Candice went to school clinic to find out their weights. Valerie's weight is 28.58
kilograms, Gianna's weight is 30.55 kilograms and Candice's weight is 25.48 kilograms. What is the total
weight of the three pupils?
A. 84.61 kilograms B. 84.16 kilograms C. 59.13 kilograms D. 54.06 kilograms
4. Keziah spent P24.85 for sandwich and P11.20 for juice. How much change did he receive if she gave the
vendor P100?
A. P 63.05
B. P 63.95
CP 73.05
D.P 73.95
5. At 6:00 in the morning, the temperature was 23.8 °C. At 12:00 noon, the temperature rose by 5.7°C. What
was the temperature at 12:00 noon?
A. 29.5 °C
B. 18.1 °C
C. 33.5 °C
D. 35.5 °C
Answer:
The answers are as follows:
1 . Option C: 2.063
2. Option A: 81.83
3. Option A: 84.61 kilograms
4. Option B: P63.95
5. Option A: 29.5°C
Step-by-step explanation:
Lets look at the questions one by one.
1. When you add the decimal numbers 0.25, 0.033 and 1.78 the result is ?
The question simply requires adding the three quantities.
The result is 2.063
Hence, Option C is correct.
2. What is the difference when 43.67 is subtracted from 125.5?
Subtracting 43.67 from 125.5, we get
125.5 - 43.67 = 81.83
Hence,
Option A is correct
3. Valerie, Gianna and Candice went to school clinic to find out their weights. Valerie's weight is 28.58 kilograms, Gianna's weight is 30.55 kilograms and Candice's weight is 25.48 kilograms. What is the total weight of the three pupils?
Adding all the weights
28.58+30.55+25.48 = 84.61
Hence, Option A is correct.
4. Keziah spent P24.85 for sandwich and P11.20 for juice. How much change did he receive if she gave the vendor P100?
For this first we have to calculate the total cost
24.85+11.20 = 36.05
Now to find the change he will get
Subtracting total expense from 100
100-36.05 = 63.95
Hence, Option B is the correct answer.
5. At 6:00 in the morning, the temperature was 23.8 °C. At 12:00 noon, the temperature rose by 5.7°C. What was the temperature at 12:00 noon?
The sum of temperature at 6:00 and the rise will tell us the temperature at 12:00
So,
23.8+5.7 = 29.5
Hence,
Option A is correct
The answers are as follows:
1 . Option C: 2.063
2. Option A: 81.83
3. Option A: 84.61 kilograms
4. Option B: P63.95
5. Option A: 29.5°C
Find the time required for an investment of 5000 dollars to grow to 8300 dollars at an interest rate of 7.5
percent per year, compounded quarterly.
Your answer is t =
years.
You may enter the exact value or round to 2 decimal places.
Answer:
1.60 (rounded)
Step-by-step explanation:
I haven't done this in a while but you'd use the compound interest formula a=p(1+r)^n where a=8300 p=5000 r=0.075 and solve for n
subtract these polynomials. (3x^22+2x+4)-(x^2+2x+1)
Answer:
3x^22−x^2+3
Step-by-step explanation:
Let's simplify step-by-step.
3x^22+2x+4−(x2+2x+1)
Distribute the Negative Sign:
=3x^22+2x+4+−1(x2+2x+1)
=3x^22+2x+4+−1x2+−1(2x)+(−1)(1)
=3x&22+2x+4+−x2+−2x+−1
Combine Like Terms:
=3x22+2x+4+−x2+−2x+−1
=(3x22)+(−x2)+(2x+−2x)+(4+−1)
=3x22+−x2+3
Answer:
=3x22−x2+3
Answer:3x^22−x^2+3
Step-by-step explanation: