Answer:
-9
Step-by-step explanation:
2.6×10^-2 = (5.2×10^7)/(2×10^n) = (5.2/2)×10^(7-n)
2.6×10^-2 = 2.6×10^(7-n)
The mantissas are equal, so we can equate the exponents:
-2 = 7 -n
n = 7 +2 = 9 . . . . . . add n+2
The value of n in the equation is 9.
1.8.3 practice - functions
3. Water freezes at 0 Celsius and 32 Fahrenheit. Water boils at 100 Celsius and 212 Fahrenheit.
Answer:
A. C(F) = 5/9F -(17 7/9)
B. slope: 5/9
C. y-intercept: -17 7/9
Step-by-step explanation:
A.The question tells us that the independent variable is the temperature in degrees Fahrenheit. Then the given ordered pairs are ...
(F, C) = (32, 0) and (212, 100)
The slope can be found from the slope formula:
m = (y2 -y1) / (x2 -x1)
m = (100 -0)/(212 -32) = 100/180 = 5/9
The y-intercept can be found from the slope-intercept equation for a line:
y = mx +b
b = y -mx
Using the first point, we have ...
b = 0 -(5/9)(32) = -160/9 = -17 7/9
Using the found values for m and b, the slope-intercept equation can be written ...
C(F) = 5/9F -(17 7/9)
__
B.The slope was found in part A to be 5/9. This means each degree Fahrenheit corresponds to 5/9 of a degree Celsius.
__
C.The y-intercept was found in part A to be -17 7/9. This means 0 °F corresponds to -17 7/9 °C.
How many tiles would be used to make figure five
Which expression is the additive inverse of -5/8?
A) 8/5
B) 5/8
C) -5/8
D) -8/5
Answer:
b
Step-by-step explanation:
if 9/24 equals 3/x , then x is ____
[tex]\\ \sf\longmapsto \dfrac{9}{24}=\dfrac{3}{x}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{8}=\dfrac{3}{x}[/tex]
[tex]\\ \sf\longmapsto 3x=24[/tex]
[tex]\\ \sf\longmapsto x=24/3[/tex]
[tex]\\ \sf\longmapsto x=8[/tex]
ASAP please!! What is the best approximation for one of the relative minimums of the
polynomial function graphed below?
Answer: C
Step-by-step explanation: Brainliest please
H . E . L . P
this work is due tommorow, and i have absolutely no idea what the answer is. please help me if you can !
( don’t comment for points. )
Answer:
A) 25
B) 64
Step-by-step explanation:
Hope this helps :))
Step-by-step explanation:
x= 5
a) 5² = 5×5 =25
b) (5+3)² = 8²
= 8 × 8
= 64
PLEASE HURRY
Todd drives 2,365 miles in a month. His average MPG is 20. How much will he pay in gas if gas is $3.12 per gallon?
$368.94
$390
$234
$208.12
Answer:
Should be $368.94
Step-by-step explanation:
hope it helps
please mark brainliest
The total cost of 118.25 gallons of gas is $368.94. Therefore, option A is the correct answer.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Todd drives 2,365 miles in a month and the average is 20 miles per gallon
Now, number of gallons =2,365/20
= 118.25 gallons
So, total cost = 118.25×3.12
= $368.94
Therefore, the total cost of gas is $368.94.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
Mr. D math
Find the distance between (12,5) and (3,4) approximated to the 1 decimal place.
select the correct response
0.2
9.3
9.1
9.4
The distance between (12,5) and (3,4) approximated to the 1 decimal place is 9.1.
To find the distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], we will use the distance formula:
Distance = [tex]\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)[/tex]
In this case, [tex]\((x_1, y_1) = (12, 5)\)[/tex] and [tex]\((x_2, y_2) = (3, 4)\)[/tex].
Substituting these values:
Distance = [tex]\(\sqrt{(3 - 12)^2 + (4 - 5)^2}\)[/tex]
Distance = [tex]\(\sqrt{(-9)^2 + (-1)^2}\)[/tex]
Distance = [tex]\(\sqrt{81 + 1}\)[/tex]
Distance = [tex]\(\sqrt{82}\)[/tex]
Now, approximate value of [tex]\(\sqrt{82}\)[/tex] to 1 decimal place:
[tex]\(\sqrt{82} \approx 9.1\)[/tex]
So, the correct response is 9.1.
Learn more about distance here:
https://brainly.com/question/32846365
#SPJ3
There is a 0.9968 probability that a randomly selected 50 year old female lives through the year (based on data from the US department of Health and Human Services). A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.
There is a 0.9968 probability that a randomly selected 50-year-old female lives through the year (based on data from the U.S. Department of Health and Human Services).
-------------------
A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.
From the perspective of the 50-year-old female, what are the values corresponding to the two events of surviving the year and not surviving?
----
Ans: -226 ; 50,000-226 = 49774
-------------------------
If a 50-year-old female purchases the policy, what is her expected value?
WORK TRIED:
In the event she lives, the value is -$226. In the event she dies, the value is $49,774.
----
E(x) = 0.9968*(-226) + 0.0032(49774) = -$66
==================================================
Cheers,
ROR
2/3 of a cup of batter can make 5/6 of a batch of pancakes. How many cups of water are needed to make one batch of pancakes?
Answer:
1 11/12 cups of water
What is the solution to x + 12 = 25?
A. x=13
B. x=12
C. x=37
D. x=24
Answer:
A . x=13 is the solution of this question.
Answer:
x=3
Step-by-step explanation:
subtract 12 from both sides of the equation
x+12=25
x+12-12=25-12
then subtract the numbers
x=13
If your heart rate is 155 beats per minute during strenuous exercise, what is the time per beat in units of seconds
Answer:
5 beats per second
Step-by-step explanation:
statistic operation depends
I am having trouble with this problem. I can’t figure it out. I have tried everything but can’t figure it out. After I figure out the problem I have to check it by writing out the problem and replacing the y with the number it equals. At the end it should equal 6
The picture is a different problem but this is what the check looks like
6=-y+42+-2y
Answer:
16 = y
Step-by-step explanation:
So you have the equation 6=-y+42+-2y
Find the y first
6=-y+42+-2y
add all y's together
6=-3y+42
subtract 42 on both sides
-48 = -13y
16 = y
------------------------------------------------
Now do the check:
Plug in 16 where ever it says y in the original equation
6= -(16) + 42 + -2(16)
open the brackets
6= -16+42-32
solve
6=26-32
6 = 6
Hope this helps
If the legs of each triangular base are 5 cm and 3 cm and the height of the prism is 4 cm, what
are the coordinates of the vertices of the prism?
The coordinates of the six vertices of the prism are listed below:
[tex](x_{1},y_{1}, z_{1}) = (0, 0, 0)\,[ft][/tex] [tex](x_{2}, y_{2}, z_{2}) = (0, 0, 5)\,[ft][/tex] [tex](x_{3}, y_{3}, z_{3}) = (3, 0, 0)\,[ft][/tex] [tex](x_{4}, y_{4}, z_{4}) = (0, 4, 5)\,[ft][/tex] [tex](x_{5}, y_{5}, z_{5}) = (0, 4, 0)\,[ft][/tex][tex](x_{6}, y_{6}, z_{6}) = (3, 4, 0)\,[ft][/tex]The number of vertices of a prism with a polygonal base ([tex]n[/tex]) is described by the following expression:
[tex]n = 2\cdot s[/tex] (1)
Where [tex]s[/tex] is the number of sides of the base.
If we know that [tex]s = 3[/tex], then the number of vertices of the prism are:
[tex]n = 2\cdot 3[/tex]
[tex]n = 6[/tex]
A prism with triangular base has six vertices, let suppose that the triangle of the base is right-angled. and coincides with a right-hand rectangular coordinate system. Then, we can conclude that the coordinates of the six vertices are the following:
[tex](x_{1},y_{1}, z_{1}) = (0, 0, 0)\,[ft][/tex] [tex](x_{2}, y_{2}, z_{2}) = (0, 0, 5)\,[ft][/tex] [tex](x_{3}, y_{3}, z_{3}) = (3, 0, 0)\,[ft][/tex] [tex](x_{4}, y_{4}, z_{4}) = (0, 4, 5)\,[ft][/tex] [tex](x_{5}, y_{5}, z_{5}) = (0, 4, 0)\,[ft][/tex][tex](x_{6}, y_{6}, z_{6}) = (3, 4, 0)\,[ft][/tex]We kindly invite to check this question on prisms: https://brainly.com/question/8828506
Circle A’s circumference is 3 times the value of Circle B’s Area. Find Circle B’a radius.
Circle A’s diameter is 27.
Formulas = A=(pi)r^2 and C=(2pi)r^2
Leave it in terms of pi if you do get pi left.
(Pi) = pi symbol (Brainly won’t let me use it.)
Thank you if you do answer it, I will give Brainlyist and a lot of pints!!
(side note: your formula C = 2πr^2 is incorrect, it should be C = 2πr)
Answer:
r = 9
Step-by-step explanation:
First let's find the circumference of Circle A. To use the formula we need radius. Since we have a diameter just divide by 2 to get radius. 27 / 2 = 13.5
Now plug that into C = 2πr: 2π*(13.5) = 27π
The question says that the area of circle B is 3x this value, so Circle B's area must be: 27π * 3 = 81π
Now plug that into A = πr^2 and solve for r:
[tex]81\pi=\pi r^{2}\\81=r^{2}\\\sqrt{81}=r\\9=r[/tex]
(edited to correct a brain fart)
A Chevrolet Sonic Hatchback costs $14,845.00. With a 15% down payment, you can have an amortized loan for 6 years at a rate of 4.5%.
A) What will the monthly payment be?
B) How much will the car cost, in total?
C) How much money will be paid in interest?
Using simple interest, it is found that:
a) The monthly payment will be of $222.57.
b) In total, the car will cost $18,251.9275.
c) $16,025.1775 will be paid in interest.
The amount of money accrued after t years, using simple interest, with an initial value of P and a decimal rate of r is given by:
[tex]A(t) = P(1 + rt)[/tex]
In this problem:
Total cost of $14,845.00, with a down payment of 15%, hence the initial value that will accrue interest is [tex]P = 0.85(14845) = 12618.25[/tex].Loan for 6 years, hence [tex]t = 6[/tex]Rate of 4.5%, hence [tex]r = 0.045[/tex].Item a:
The amount of money accrued will be of:
[tex]A(6) = 12618.25[1 + 0.045(6)] = 16025.1775 [/tex]
Payment over 6 x 12 = 72 months, hence, the monthly payment will be of:
[tex]m = \frac{16025.1775}{72} = 222.57[/tex]
The monthly payment will be of $222.57.
Item b:
The total cost is composed by:
Down payment of 15%, out of the amount of $14,845.00.Interest of $16,025.1775.Hence:
[tex]T = 0.15(14845) + 16025.1775 = 18251.9275[tex]
In total, the car will cost $18,251.9275.
Item c:
As found in item a, $16,025.1775 will be paid in interest.
A similar problem is given at https://brainly.com/question/13176347
Solve | x+4| -5=6
A. x= -7 and = -15
B = 7 and = -7
C. x = 7 and = -15
D. x = -7 and = 15
Answer:
b
Step-by-step explanation:
14 - (-10)
Perform the indicated operation
Answer:
14 - (-10) = 24Step-by-step explanation: 14 - (-10) (-10)= 10 14 + 10 = 4
Write each decimal as a percent. 1. 0.74
4. 0.617 =
Write each percent as a decimal. 6. 68%
9. 175% =
2. 0.15 =
5. 0.834 =
7. 34% =
10. 200% =
3. 0.09 =
8. 58.5% =
Answer:
1. 0.74 = 74%
4. 0.617 = 61.7
6. 68% = 0.68
9. 175% = 1.75
2. 0.15 = 15%
5. 0.834 = 83.4%
7. 34% = 0.34
10. 200% = 2.00
3. 0.09 = 9%
8. 58.5% = 0.585
Step-by-step explanation:
có 100 công nhân sản xuất trong một ngày được 1200 đợn vị sản phẩm với tổng chi phí là 2400 USD
Answer:
4 better inbox
Step-by-step explanation:
Write in order least to greatest!
Hello! :)
√99=9.95...
π²=9.9
9.8888...
So I think the numbers should be written like this:
9.8888, √99, π²
Hope it helps!
~Just a determined gal
[tex]MysteriousNature[/tex]
Lauren received a box of 12 identical-looking truffles for Valentine's Day. 3/4 of them have a fruit filling and 2/3 of the remaining are coffe-flavored. 1/3 of the fruit-filled ones have raspberry filling and 1/6 of the remaining fruit-filled truffles have strawberry flavor. What is the probability that she will draw a flavor she doesn't reconize.
A. 1/3
B. 2/5
C. 1/2
D. 3/4
C. 1/2
9 of the truffles are fruit-filled. 2 are coffee-flavored. one is unaccounted for.
Of the 9 fruit-filled ones, 3 are raspberry and one is strawberry. 5 are unaccounted for.
Putting together the ones we don't know, we get 6 unknown ones. 6/12, or 1/2, is the answer.
Would love it if your able to help me :)
Answer:
x = 2.83163
Step-by-step explanation:
Have a nice day!
and if you have questions on how I found it please ask.
A certain length measurement is performed 500 times. The mean value is 5.0m, and the standard deviation is 2cms. Assuming a normal distribution for the error in the measurement, how many readings fall within 5.15cm of the mean value
Using the normal distribution, it is found that 495 readings fall within 5.15cm of the mean value.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 5m, hence [tex]\mu = 5[/tex].Standard deviation of 2 cm, hence [tex]\sigma = 0.02[/tex]To find the proportion of readings that fall within 5.15cm of the mean value, first we need to find the following z-score:
[tex]z = \frac{0.0515}{0.02}[/tex]
[tex]z = 2.575[/tex]
The proportion is P(|z| < 2.575), which is the p-value of z = 2.575 subtracted by the p-value of z = -2.575.
Looking at the z-table, z = -2.575 has a p-value of 0.005, and z = 2.575 has a p-value of 0.995.
0.995 - 0.05 = 0.99
Out of 500 measurements:
(0.99)500 = 495
495 readings fall within 5.15cm of the mean value.
A similar problem is given at https://brainly.com/question/24663213
Simplify this expression:
[tex](-3c^8)(2c^6d^8)\implies (-3)(2)c^8c^6d^8\implies -6c^{8+6}d^8\implies -6c^{14}d^8[/tex]
PLZ HELP ASAP IS FOR IMPORTANT ASSIGNMENT Find the function that represents the relationship shown in the
table below and explain how you determined the equation by
showing your solution and adding statements to explain your
steps.
X
0
1
2
3
4
ON
у
-5
9
16
23
N
Edit
View
Insert
Format
Tools
Table
Answer:
Step-by-step explanation:
the sum of 2 times a number and 5 is equal to 7
Answer:
n = 1
Step-by-step explanation:
"The sum of" is addition
"2 times a number" is 2n
"and 5" is + 5
equals 7 is =7
2n + 5 = 7
- 5 - 5
2n = 2
2n/2 = 2/2
n = 1
please help me i’ll give brainlist and points
Answer:
Area solution
Step-by-step explanation:
A=(16+10)×12/2= 156 m^2
I would really appreciate help with this. I will give brainliest
Can any of you tell me the types of frequencies in math and explain how to find each one? It would be really really helpful if you answered:)
Answer:
Grouped Frequenct Distribution
UnGrouped Frequency Distribution
Step-by-step explanation:
Figures or numbers collected for some definite purpose is called data. Frequency is the value in numbers that shows how often a particular item occurs in the given data set. There are two types of frequency table - Grouped Frequency Distribution and Ungrouped Frequency Distribution. Data can be shown using graphs like histograms, bar graphs, frequency polygons, and so on.If x^4 - y^4 = 24, and x^2 - y^2 = 8, what is the value of x^2 + y^2 ?
Show work
Answer:
Step-by-step explanation:
U
Answer:
3
Step-by-step explanation:
[tex]x^4-y^4=(x^2)^2-(y^2)^2=(x^2-y^2)(x^2+y^2)\\24=8(x^2+y^2)\\x^2+y^2=\frac{24}{8}\\x^2+y^2=3[/tex]
