Fine The Gradient of the curve xy=6, at point 1 & 6.
[tex] \\ \\ \\ \\ \\ \\ \\ [/tex]
Thnx ~~
Answer:
[tex]\fbox{Gradient of curve = -6}[/tex]
Step by step explanation:
Given:
Equation of curve ↦ xy = 6
Point ↦(1,6)
To find:
The gradient of curve = ?
Solution:
[tex]Using \: the \: equation, \\ xy = 6 \\ [/tex]
Taking log both the side,
[tex]log(xy) = log(6) \\ log(x) + log(y) = log(6) \\ Taking \: derivative \: both \: the \: side \\ \frac{1}{x} + \frac{1}{y} \cdot\frac{dy}{dx} = \: 0 \\ (Derivative \: of \: any \: constant =0) \\ \frac{1}{y} \cdot\frac{dy}{dx} = - \frac{1}{x} \\ \frac{dy}{dx} = - \frac{y}{x} \\ To \: find \: gradient \: at \: point (1,6) \\ \frac{dy}{dx} \mid_{(1,6)} = \frac{ - 6}{1} \\ \frac{dy}{dx} \mid_{(1,6)} = - 6 \\ \fbox{Gradient of curve = -6}[/tex]
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A perpendicular line is constructed through angle B of Triangle ABC and intersects side AC at a 90° angle through
point D. Select the transformations that would justify that Trangles ABD = CBD. Select all that apply.
A. A reflection over BD that maps AB onto BC.
B. A translation along vector AC that maps point A onto point C.
C. A rotation about center B that maps BD of Triangle CBD onto BA.
D. A rotation about center D that maps BD of Triangle CBD onto AD and Angle BDC onto angle ADB.
E. A rotation about center D that maps CD onto AD. Then a reflection across AD that maps Angle ABD onto
Angle CBD.
Answer: E, A
Step-by-step explanation:
Please help me solve this
Answer:
The length of river D is 2550
length of river C is 2550+500=3050
Step-by-step explanation:
Let the river D be 'x'
and the river C is (x+500)
x + x + 500 = 5600
2x + 500 = 5600
2x = 5600 - 500
2x = 5100
x = 5100/2
x = 2550
The length of river D is 2550
length of river C is 2550+500=3050
Type your answer into the box. Butter and flour are mixed in the ratio 2:3. Chris has 640 grams of butter and 880 grams of flour. How much more flour does he need?
Answer:
80 grams
Step-by-step explanation:
since butter & flour are in the ratio 2:3
2/5 = 640
then 3/5 = flour(?)
eliminate 5 since it is common so that
2= 640
3= x
cross multiply
x= 3 /2× 640
= 960
640 grams of butter needs to mix with 960grams of flour so that they can be in the ratio of 2:3
960-880 = 80
hence 80 more grams of flour are needed.
What is the sum of all integers between square root of 8 and square root 113?
Answer: The sum is____
The integers between square root of 8 and square root 113 are the numbers without decimal points
The sum is 52
How to detemine the sum?The square root of 8 is 2.82
The square root of 113 is 10.63
The integers between 2.82 and 10.63 are:
3, 4, 5, 6, 7, 8, 9 and 10
The sum of these integers is represented as:
Sum = 3 + 4+ 5+ 6+ 7+ 8+ 9 + 10
Evaluate the sum
Sum = 52
Hence, the sum is 52
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At what position on the number line is the red dot located?
A.
0.25
B.
0.75
C.
0.5
D.
0
Answer:
C. 0.5..................
Abby is buying flower bulbs for her garden. She wants to buy the same number of tulips and daffodils. If tulip bulbs come in packs of 8 and daffodil bulbs come in packs of 4, what is the least number of each type of bulb Abby will need to buy?
16
lcm : 4= 4, 8, 12 , 16
8= 8 , 16
5. The dot plot shows a random sample
of the number of migrating geese
flocks observed by 25 participants
during a two-day hike.
Day 1
Day 2
IN
+ +
+ + + + +
2 3 4 5 6 7 2 3 4 5 6 7
Number of Flocks Observed Number of Flocks Observed
Use the mean value of each data set to
make an inference about the number
of flocks observed each day.
Using the dot plot, the inference is that the number of flocks observed on the second day was less than in the first.
What does a dot plot show?The dot plot shows the number of times each measure appears in the data-set.
Hence, the mean of the data-set corresponding to day 1 is given by:
M1 = (4 x 4 + 7 x 5 + 7 x 6 + 7 x 7)/25 = 5.68
And the mean of the data-set corresponding to day 2 is given by:
M2 = (2 x 8 + 3 x 7 + 4 x 6 + 5 x 4)/25 = 3.24.
M1 > M2, hence, the inference is that the number of flocks observed on the second day was less than in the first.
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Baba Clothing store is a having a 5% off sale on all of its clothing. Which expression represents the discounted price if p is the original price?
Answer:
The total of the prices of all of the baby shirts and sweaters that the store sold during the sale was $420.00. It's possible that 12 sweaters and 8 shirts are sold a bargen
Step-by-step explanation:
Write down the first 4 terms of a sequence that starts at 0 and decreases by 6 in each term.
Answer:
0, -6, -12, -18
Step-by-step explanation:
start at 0, then subtract by 6 to get -6. then subtract 6 again to get -12. then subtract 6 again to get -18.
please give brainliest!!!!
i will give brainliest to the first to answer
Answer:
2/6 = 1/3
8/1 = 8
2/4 = 4/8
2/8 = 1/4
4/4 = 1
Step-by-step explanation:
2/2 = 1 and 6/2 = 3 so that would make the equivalent fraction 1/3
for 8/1 it is the same as just 8
2*2 = 4 and 4*2 = 8 so that would make the equivalent fraction 4/8
the same goes for 2/8 which is 1/4
and 4/4 is just 1
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Answer:
2/6=1/3
8/1=8
2/4=4/8
2/8=1/4
4/4=1
If the point (x,square root 3/2) is on the unit circle, what. is x?
Answer:
[tex]x=\pm\frac{1}{2}[/tex]
Step-by-step explanation:
On a unit circle, [tex](x,y)=(\cos\theta,\sin\theta)[/tex], so [tex]\sin\theta=\frac{\sqrt{3}}{2}[/tex] in this case. If you look at the attached circle, the only time that the y-coordinate is [tex]\frac{\sqrt{3}}{2}[/tex] is when [tex]x=-\frac{1}{2}[/tex] and [tex]x=\frac{1}{2}[/tex], which correspond to angles of [tex]\theta=\frac{2\pi}{3}[/tex] and [tex]\theta=\frac{\pi}{3}[/tex] respectively
Two angles in a triangle add up to 152 degrees.
what is the size of the third angle?
Answer:
28 degrees
Step-by-step explanation:
A triangle is 180 degrees. 180-152=28.
Answer:
The third angle is 28 degrees
Step-by-step explanation:
A triangle has to add up to 180 degrees so just take 180 subtract your 152 from it and you'll have your answer!. (180 - 152 = 28) Hope this helps! :)
HELPPPP Two planes leave the airport at noon, one traveling east at 300 km/h and the other traveling northwest at 45 km/h. How far apart are they at 2 pm?
How far both planes travelled is an illustration of distance
Both planes are 510 km apart at 2 pm
How to determine their distance apart?The rates of the two planes are given as:
Plane A = 300km/h
Plane B = 45km/h
Calculate the difference (r) in their rates
r = 300km/h - 45km/h
This gives
r = 255km/h
At 2 pm, both planes have travelled for 2 hours.
So, the distance between them is:
d = 255 * 2
d = 510km
Hence, both planes are 510 km apart at 2 pm
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What is the value of y in the equation 2 + y = −3?
I believe that y is equal to -5.
y=-5
What is the value of w in the equation 2(2w − 16) = 0?
Answer:
[tex]w=8[/tex]
Step-by-step explanation:
[tex]2(2w-16)=0\\4w-32=0\\4w=32\\w=8[/tex]
Answer:
w = 8
Step-by-step explanation:
2(2w − 16) = 0
Divide each side by 2
2w-16 = 0
Add 16 to each side
2w-16 +16 =0 +16
2w = 16
Divide each side by 2
2w/2 = 16/2
w = 8
Geena can rent an apartment for $850 per month or she can buy a house for $175,000 at 3.875% interest for 30 years. How much will each housing choice cost for one year?
A. Price of Renting:
B. Price of Buying:
Using simple interest, it is found that the prices are as follows:
A. $10,200.
B. $12,614.58.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.Item a:
$850 for 12 months, hence the yearly cost is:
P = 850 x 12 = $10,200.
Item b:
The total cost is found using simple interest with A(0) = 175000, t = 30, r = 0.03875, hence:
A(t) = A(0)(1 + rt)
A(30) = 175000[1 + 0.03875(30)]
A(30) = 378437.5.
The yearly cost is given by:
378437.5/30 = $12,614.58.
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You have just inherited $150,261 from a trust that has matured. You would like to invest the total amount into an account that pays you an annual compounded interest rate of 9. 1%, and you would like to make annual withdrawals over the next 20 years such that by the end of this 20 year period, the amount remaining in the account will be zero dollars. Determine, from the given information, the amount of the annual withdrawals. Round to the nearest cent. A. $16,578. 03 c. $15,978. 10 b. $162,851. 31 d. $15,575. 98.
Answer:
C
Step-by-step
The amount of the annual withdrawals will be $16,574.24.
The given data in the problem is;
P = annual payment
PV= present value = $150,261
r= rate of intreast = 9.1% =9.1/100= 0.091
n = time period= 20
What is the formula for the annual payment ?[tex]P=\frac{r\times PV}{1-(1+r)^{-n}}[/tex]
[tex]P=\frac{0.091\times 150261}{1-(1+0.091)^{-20}}[/tex]
[tex]P=16754.24[/tex]
Therefore, the amount of the annual withdrawals will be $16,574.24.
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Is my answer correct?
Answer:
No, not all of them are correct.
Step-by-step explanation:
The first one that u picked is incorrect. The second one is correct. And so it the third. I'm not so sure about the last one but pls MARK BRAINLIEST IF IT IS CORRECT
A collectible car has been going up in price by 10% each year. if the car is already worth $29,000, how much will the car be
worth in 5 years?
The worth of the collectible car in five years if its value is going up by 10% every year would be $46,704.79
What is the worth of the car?If the value of the collectible car is increasing with time, it is said that the collectible car is appreciating in value.
The formula for calculating future value with appreciation:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of years$29,000(1.1^5) = $46,704.79
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Ashton is solving the equation
3x + 7 = 16.
Which shows a step Ashton can
use to solve the equation?
a. 3x + 7 = 16 - 7
b. 3x + 7 - 7 = 16 - 7
c. 3x + 7 = 16 + 7
d. 3x + 7 + 7 = 16 + 7
PLEASE HELP
Answer:
B: 3x + 7 - 7 = 16 - 7
Step-by-step explanation:
B: 3x + 7 - 7 = 16 - 7
Answer:
[tex]\boxed{\sf{B. \quad3x + 7 - 7 = 16 - 7}}[/tex]
[tex]\boxed{\sf{x=3}}[/tex]
Step-by-step explanation:
Isolate the term of x from one side of the equation.
3x+7=16First, subtract by 7 from both sides.
⇒ 3x+7-7=16-7
Solve.
⇒ 16-7=9
Rewrite the problem down.
⇒ 3x=9
Divide by 3 from both sides.
⇒ 3x/3=9/3
Solve.
Divide the numbers from left to right.
⇒ 9/3=3
⇒ x=3
Therefore, the solution is x=3, which is our answer.So, the correct answer is B. 3x+7-7=16-7 (second option).I hope this helps you! Let me know if my answer is wrong or not.
which set is an example of like fractions?
A. 1/2 and 3/2
B. 2/1 and 2/3
C. 7/4 and 4/7
D. 10/10 and 5:5
Answer:
like fractions have the same denominator. So A is correct
6) 5 mi
11 mi
7) 22 m
11 m
8) 22 yd
25 yd
Answer:
#6=perimeter=32 area=55
#7=perimeter=66 area=242
#8=perimeter=94 area=550
Step-by-step explanation:
5+5+11+11=32
5x11=55
22+22+11+11=66
22x11=242
22+22+25+25=94
22x25=550
Find the area of the shaded sector of the circle. Give the exact answer in terms of straight pi.
A circle has a central angle that measures 120 degrees and a radius of 8.
fraction numerator 48 straight pi over denominator 9 end fraction units squared
fraction numerator 64 straight pi over denominator 3 end fraction units squared
fraction numerator 32 straight pi over denominator 3 end fraction units squared
fraction numerator 16 straight pi over denominator 9 end fraction units squared
The area of the sector that has a central angle of 120 degrees and radius of 8 units is 64π / 3 units²
Area of a sectorThe area of a sector is defined as follows:
area = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
r = 8
∅ = 120°
Hence,
area of the sector = 120 / 360 × π × 8²
area of the sector = 1 / 3 × π × 64
area of the sector = 64π / 3 units²
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What is the h concentration in a solution with a ph of 1.25? round to the nearest hundredth. × 10n m n=
The pH is the measure of hydrogen ion concentration in a solution. The hydrogen ion concentration at pH 1.25 is [tex]5\times 10^{-2}\ M[/tex].
How to calculate hydrogen concentration?The pH is the negative logarithmic value of the hydrogen ion concentration in the sample.
The pH can be expressed as:
[tex]\rm pH=-Log[H^+][/tex]
The hydrogen ion concentration can be given as:
[tex]\rm [H^+]=10^{-pH}[/tex]
The given pH is 1.25 The hydrogen ion concentration is given as:
[tex]H^+=10^{-1.25}\\H^+=0.05\ M\\h^+=5\times10^{-2}\ m[/tex]
The hydrogen ion concentration in the solution is .[tex]5\times 10^{-2}\ M[/tex]
Learn more about pH, here:
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Answer:
1st blank is 5.62
2nd blank is -2
Step-by-step explanation:
Look at the image (top right corner)
100 BRAINLY POINTS!!!!!!
A cell phone company charges its customers a flat fee of $60 each month for calls and texts, plus an additional $5.00 for each gigabyte of data used. What does the y-intercept of the function represent?
A. the flat fee for calls and texts
B. the cost for each gigabyte of data used
C. the total amount of a monthly bill with 1 gigabyte of data used
D. the total amount of a monthly bill with 2 gigabytes of data used
PLS HELP CUH
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
JUST HELP ME PLSSS
Now
Equation in slope intercept form
y=mx+bIf each GB be x
y=5x+60Here
yintercept=b=60Option A is correct
Marvin has a vintage comic book worth $351. According to a dealer, the value of this particular comic book will increase by 12.1% each year. How much will the comic book be worth in 13 years?
If necessary, round your answer to the nearest cent.
Help me on this question please!
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
═════════════════════
[tex]x+5[/tex]
[tex]x^{1-1} [/tex]
[tex]x^{0} [/tex]
[tex] = 1 [/tex]
─────────────────────┈
[tex](2x + 3)[/tex]
[tex]2x^{1-1} [/tex]
[tex]2x^{0} [/tex]
[tex]2\times 1 [/tex]
[tex] = 2[/tex]
══════════════════════
Step-by-step explanation:
#Carry on learning
what are irrational numbers? give examples.
Answer:
set of numbers that cannot be represented in form of a/b
examples square root of 2, 3, 5 and 6
one trillion one hundred eighty-six billion two hundred million in number form
Step-by-step explanation:
1,186,200,000,000 in standard form