By the product rule,
[tex](fg)'=f'g+fg'[/tex]
so that
[tex](fg)'(7)=f'(7)g(7)+f(7)g'(7)=10\cdot(-1)+4\cdot8=22[/tex]
By the quotient rule,
[tex]\left(\dfrac fg\right)'=\dfrac{f'g-fg'}{g^2}[/tex]
so that
[tex]\left(\dfrac fg\right)'(7)=\dfrac{f'(7)g(7)-f(7)g'(7)}{g(7)^2}=\dfrac{10\cdot(-1)-4\cdot8}{(-1)^2}=-42[/tex]
Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106.40 in interest. How much had Mrs. Ming invested in the account paying 6%?
Answer: $680
Step-by-step explanation:
solve it............
Answer:
7
Step-by-step explanation:
1) for '8'; '3'; and '10':
8/2+3+3=10
2) for '2'; '5' and '11':
2/1+5+5=11
3) for '6'; '2' and '?':
6/2+2+2=7
What temperature is 24° warmer than-12 °C?
Answer:
12 °C
Step-by-step explanation:
x = -12 + 24x = 12 °C12 °C is 24°C warmer than -12°C
Deon bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $250 less than the desktop. He paid for the computers using
two different financing plans. For the desktop the interest rate was 9% per year, and for the laptop it was 6% per year. The total finance charges for one year
were $300. How much did each computer cost before finance charges?
Answer:
300
Step-by-step explanation:
Let x = cost of desktop computer; then x - 250 = cost of laptop computer
converting % to decimals, 9% = 0.09 and 6% = 0.06
Then, 0.09x + (x - 250)0.06 = $300
0.09x + 0.06x - 15 = $300
0.15x = $315
x = $2100
then x - 250 = $1850
Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300
100 POINTS!! ASAP - Plss SHOW WORK
Answer:
h ≈ 174.3 m
Step-by-step explanation:
Step 1: Define variables
∅ = 71°
b = 60 meters (horizontal leg of the triangle)
We are solving for height h (vertical leg of the triangle)
Step 2: Use Trig
tan∅ = opposite over adjacent
tan71° = h/60
Step 3: Evaluate
60tan71° = h
h = 174.253 m
h ≈ 174.3 m
Answer:
the height of the building is 174.3 m
Step-by-step explanation:
see attached image
height of building (h) = x tan Ф
where x = 60m
Ф = 71°
plugin values into the formula
h = 60 tan (71)
h = 174.3 m
therefore
the height of the building is 174.3 m
1/5(x)( 5/1)=6/3(5/1) What is the value of the x?
Answer:
The value of x would be 10. I hope this helped :)
Answer:
10
Step-by-step explanation:
on the left side 1/5 and 5/1 time each other is 1. Which means the x is already alone. On the right 6/3 times 5/1 is 10. So x = 10.
William read 15 books in 6 months. What was his rate of reading in months per book? {pls i need help}
Answer:
His rate would be 2.5 books per month
1
This angle pair makes a straight line, so they are supplementary
130
50
A True
B False
Answer:
True
Step-by-step explanation:
Supplementary angles always equal to 180 degrees, and the sum of 130 and 50=180 degrees.
At a carnival 7 out of 10 pepole order hotdogs if there is 90 pepole at the carnival how many of them did not order a hotdog
Answer:
20 people did not order hotdogs
Step-by-step explanation:
if there is 90 people and 7 must represent 70 / 90
David is flying from Hong Kong to Buenos Aires. The total flight distance is 11,472 miles. If the plane has 7,793 miles left to travel, how far has it already traveled?
Tricia starts school at 7am and has lunch at 12pm. She wants to make sure she has something to eat in between. Determine what time she should eat her snack if she is to eat at exactly a time between starting school and eating lunch.
I say she eats around 10:30 or whenever she feels like it, but go with my first answer.....
What is the simplified value of the expression below?
8(9.75-3.25)+ 12x4
100
O 152
256
O 347
Answer:
100
Step-by-step explanation:
=(8)(6.5)+(12)(4)
=52+(12)(4)
=52+48
=100
Point C divides AB into two segments with lengths that form which ratio?
А с B
HH
15 20 25 3035
AHH
Answer:2:3
Step-by-step explanation:
可二人十
Help solve this problem
marcus wants to buy candy. He has 5$. Each candy bar cost 75 cents. how many candy bars can he buy? define the variable you would use to solve the problem.
Answer:
5*75
Step-by-step explanation:
Answer:6
Step-by-step explanation:
If you divide 5.00 by 0.75 and you'll get 6.6666666667 and it says how many candy bars so it will be 6 because the other point and lower stuff isn't a whole candy bar
A car rental company charges $0.10 per mile plus $30 per day for a midsize sedan. If
Lawrence rents a vehicle for four days and has $200, what is the maximum number of
miles he can drive?
Answer:8 days and 12 hours
Step-by-step explanation:30$ is each day
Answer:
800 miles
Step-by-step explanation:
Its 800 miles
9. Which of the following is NOT written in scientific notation? O 32.78103 O 1.272103 4.7x103 3.75x10
Answer:
32.78103
Step-by-step explanation:
as far as I know it would be 3.278103 times whatever
Answer:
the answer is 32.78103
Step-by-step explanation:
Scientific notation is when the number is more than 1 but less than 10 and the 32 is more than 10.
A triangle is placed in a semicircle with a radius of 5 yd, as shown below. Find the area of the shaded region.
Use the value 3.14 forn, and do not round your answer. Be sure to include the correct unit in your answer.
is yd please help
Answer:
14.25 yd^2
Step-by-step explanation:
The triangle area is given by the formula ...
A = 1/2bh
Here, the base is 10 yd, and the height is 5 yd, so ...
triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2
__
The semicircle is half the area of a circle with radius 5 yd, so its area is ...
semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2
__
The shaded region is the difference between these areas:
shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2
Is(0,-2) a solution of x+y=6
Answer:
no
Step-by-step explanation:
x+y=6
Substitute the point into the equation and see if it is true
0 + -2 = 6
-2 =6
This is not true so the point is not a solution
Answer: No
Step-by-step explanation:
To see if (0.-2) is a solution of x+y=6, we can plug it in and solve.
0+(-2)=6 [add]
-2≠6
Since -2 does not equal 6, we know that (0,-2) is not a solution.
Given f(x)=10(3−x)+6, what is the value of f(−1)?
Answer: 46
Step-by-step explanation:
10 (3 +1) + 6
30 + 10 + 6
46
4. How did railroads change where people lived?
The railroads changed people life
Answer:
It made commerce possible on a vast scale. In addition to transporting western food crops and raw materials to East Coast markets and manufactured goods from East Coast cities to the West Coast.
Step-by-step explanation:
Answer:
There are multiple reasons, it made it easier to get new places to live instead of in a wagon or by foot. (in case there is more to the question) helped people and stuff needing to be transported get there quicker and easier. Building the railroads gave people jobs who need it to take care of them and there family.
Step-by-step explanation:
use picture or words to explain how you could find the sum of 7+7
Step-by-step explanation:
The sum of is of seven plus seven is 14. 7 orange fish and 7 blue fish equal 14 fishes in total.
HELP ME PLEASE!!!!!!!!!!4(a+2)=8+4a
Answer:
a can be anything. There are infinite solutions.
Step-by-step explanation:
[tex]4(a+2)=8+4a[/tex]
Expand:
[tex]4a+4\times\:2=8+4a[/tex]
[tex]4a+8=8+4a[/tex]
Subtract 8 from both sides:
[tex]4a+8-8=8+4a-8[/tex]
[tex]4a=4a[/tex]
Subtract 4a from both sides:
[tex]4a-4a=4a-4a[/tex]
[tex]0=0[/tex]
Since both sides are equal, a has infinite solutions as no matter what value it is, it will not affect the end result of [tex]0=0[/tex] which is true.
You will add numbers that are relevant to your life and then find the square root of that sum in simplified radical form. Find the sums of: A. All of the ages of the people in your household. B. All the digits in your telephone number, including the area code. C. All of the letters in your first name if you let a
Step-by-step explanation:
A. Dad = 50, Mum = 47, Sister = 22
me = 19
Total Sum = 50 + 47 + 22 + 19
= 136
√136 = 11.662.
B. + 1435 797 202 = 40
√40 = 6.33
C. BRYAN = 2 + 18 + 25 + 14 = 59
√59 = 7.68.
Give the five number summary. A student servey asked, how tall are you ( in inches)?" here's the data: 64, 72, 73, 60, 65, 86, 72, 69, 74
Answer:
Step-by-step explanation:
The five number summary will be the mean, median, interquartile range, minimum value and the maximum value.
Mean is the average of the data. It is the sum total of the numbers divided by the total number.
Mean = 64+72+73+60+65+86+72+69+74/9
Mean = 635/9
Mean = 70.6inches
Median is the middle value after rearrangement. Re-arrangement can be either in ascending or descending order of magnitude.
On re-aaranging
60, 64, 65, 69), 72, (72, 73, 74, 86
It can be seen that the number at the middle is 72, hence the median data is 72inches
Maximum value is the highest number in the data given. The highest number is 86 according to the data.
Minimum value is the lowest number in the data given. The lowest number is 60 according to the data.
Interquartile range is the difference between the upper quartile sand the lower quartile. Quartiles divides the data into four equal parts
IQR = Q3-Q1
Q3 is the upper quartile
Q1 is the lower quartile
Q1 is the median of the upper part of the dataset i.e 86, 72, 69, 74
Q1 = 72+69/2
Q1 = 70.5
Q1 is the median of the lower part of the dataset i.e 64, 72, 73, 60
Q3 = 72+73/2
Q3 = 72.5
IQR = 72.5-70.5
IQR = 2.0
Hence the five numbers are 70.6, 72, 86, 60 and 2.0
PLZ FAST I DONT WANNA DIE
Answer:
x=15
Step-by-step explanation:
<GCB=180-5x
<EBA=9x
<DAC=8x
The sum of the three exterior angles equals 360.
(180-5x)+9x+8x=360
180-5x+9x+8x=360
-5x+9x+8x=360-180
12x=180
x=15
A cylindrical container has a height of 24 inches. Currently, the container is filled with water to a height of 18 inches. A leaky faucet drips into the container, causing the height of the water in the container to increase by 2 inches per hour. The equation below can be used to find t, the number of hours it would take to fill the container.
18 + ?t = 24
What number should be the coefficient of t?
2
3
18
24
Answer:
a) 2
Step-by-step explanation:
got it right on edge 2021 || pls mark brainliest
what is the formular for 1+4+16+64+256
Answer:
341
Step-by-step explanation:
1+4=5
5+16=21
21+64=85
85+256=341
A customer at a Mexican diner placed an order for 3 burrito bowls. He also ordered 2 plates of corn tacos at $12.96 each. He was billed
a total of $45.42.
Answer:
$6.05 for each burrito bowl
Step-by-step explanation:
12.96+12.96=25.92
45.42-25.92= 19.5
19.5/3= 6.5
5x+2=3x+6 what does x equal?
Answer:
x=2
Step-by-step explanation: