Answer: The answer is 26
I just divided it by 5
For the function f(x) = x^1/3/3 find f^-1(x)
Answer:
To get f⁻¹(x), write f(x) = y = x^(1/3)/3, exchange x and y, so x = y^(1/3)/3, then y = (3x)³, this is just the f⁻¹(x) = (3x)³.
Step-by-step explanation:
P is the point (2, 7) and Q is the point (6, -3).
What is the gradient of PQ?
The Gradient of the line PQ is -5/2.
What is Gradient?Gradient the basically the ratio between the change in vertical coordinate to change in horizontal coordinates.
Here, P (2, 7) and Q (6, -3)
Now, Gradient = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
m = [tex]\frac{-3 -7}{6 - 2}[/tex]
m = -10/4
m = -5/2
Thus, the Gradient of the line PQ is -5/2.
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Shade the mode model. Then write the decimal.
Answer:
no picture
Step-by-step explanation:
just search it up
A used car depot wants to study the relationships between the age of a car and its selling price. Listed below is a random sample of 9 cars at the depot during the last 3 months
In January Caleb could do 12 pushups. In May Caleb could do 15 pushups. By what percent did he increase the number of pushups he could do?
Answer:
by 3% percent
Step-by-step explanation:
i hope this helps ._.
So in January he could do 12 pushups..
4 months later, he could do 3 more..
A total of 15 in 4 months would make a 25% increase with 6.25% every month as 3 pushups represent 1/4 of the 12 he used to do
abishek travelled 5km 28m by bus, 2km 265m by car and the rest 1km 30m on foot how much distance did he travel in all?
Answer:
8km 323m
Step-by-step explanation:
The total distance given by summing up all the distances traveled using different means.
Distance by bus = 5km 28m
Distance by car = 2 km 265 m
Distance on foot = 1 km 30 m
The total distance = distance by bus + distance by car + distance on footWe substitute below :-(1km + 2 km + 5km) + (30m + 265m +28m) = 8km + 323m
Total distance covered = 8km 323mStep-by-step explanation :
Here we have been given with the distance travelled by Abhishek through bus , car and foot. We're asked to calculate the total distance travelled by him.
But we will first convert the distance which is in kilometres into metres in order to do that. And after that we will add them all.
• Distance travelled by bus :
> Bus = 5km 28m
> Bus = 5 × 1000 + 28
> Bus = 5000 + 28
> Bus = 5028 m
• Distance travelled by car :
> Car = 2km 265m
> Car = 2 × 1000 + 265
> Car = 2000 + 265
> Car = 2265m
• Distance travelled by foot :
> Foot = 1km 30m
> Foot = 1 × 1000 + 30
> Foot = 1000 + 30
> Foot = 1030m
★ Now, total distance would be calculated as follows :
>> Total distance = (5028 + 2265 + 1030) m
>> Total distance = (7293 + 1030) m
>> Total distance = 8323 m
Therefore,
Abhishek travelled 8323 m.Need answers quick pleaseeee!!
Answer:
The measure of its complementary angle is 3.
Step-by-step explanation:
what is sin theta when cot theta = square root 2/2
Answer: 2/sqrt6
Step-by-step explanation:
tan theta=perpendicular/base so
cot theta =base /perependicular=sqrt2/2
while sin theta=perpendicular/hypotenous=2/x
here x is unkown to find it we will use pythagoras theorem
(hypoteneous)^2=(Base)^2+(perependicular)^2
=(sqrt 2)^2+(2)^2
=2+4
(hypoteneous)^2=6
hypotenous =sqrt6
so
sin theta=2/sqrt6
Answer this volume based Question. I will make uh brainliest + 50 points
Answer:
[tex]\huge{\purple {r= 2\times\sqrt[3]3}}[/tex]
[tex]\huge 2\times \sqrt [3]3 = 2.88[/tex]
Step-by-step explanation:
For solid iron sphere:radius (r) = 2 cm (Given)Formula for [tex]V_{sphere} [/tex] is given as:[tex]V_{sphere} =\frac{4}{3}\pi r^3[/tex][tex]\implies V_{sphere} =\frac{4}{3}\pi (2)^3[/tex][tex]\implies V_{sphere} =\frac{32}{3}\pi \:cm^3[/tex]For cone:r : h = 3 : 4 (Given)Let r = 3x & h = 4xFormula for [tex]V_{cone} [/tex] is given as:[tex]V_{cone} =\frac{1}{3}\pi r^2h[/tex][tex]\implies V_{cone} =\frac{1}{3}\pi (3x)^2(4x)[/tex][tex]\implies V_{cone} =\frac{1}{3}\pi (36x^3)[/tex][tex]\implies V_{cone} =12\pi x^3\: cm^3[/tex]It is given that: iron sphere is melted and recasted in a solid right circular cone of same volume[tex]\implies V_{cone} = V_{sphere}[/tex][tex]\implies 12\cancel{\pi} x^3= \frac{32}{3}\cancel{\pi}[/tex][tex]\implies 12x^3= \frac{32}{3}[/tex][tex]\implies x^3= \frac{32}{36}[/tex][tex]\implies x^3= \frac{8}{9}[/tex][tex]\implies x= \sqrt[3]{\frac{8}{3^2}}[/tex][tex]\implies x={\frac{2}{ \sqrt[3]{3^2}}}[/tex][tex]\because r = 3x [/tex][tex]\implies r=3\times {\frac{2}{ \sqrt[3]{3^2}}}[/tex][tex]\implies r=3\times 2(3)^{-\frac{2}{3}}[/tex][tex]\implies r= 2\times (3)^{1-\frac{2}{3}}[/tex][tex]\implies r= 2\times (3)^{\frac{1}{3}}[/tex][tex]\implies \huge{\purple {r= 2\times\sqrt[3]3}}[/tex]Assuming log on both sides, we find:[tex]log r = log (2\times \sqrt [3]3)[/tex][tex]log r = log (2\times 3^{\frac{1}{3}})[/tex][tex]log r = log 2+ log 3^{\frac{1}{3}}[/tex][tex]log r = log 2+ \frac{1}{3}log 3[/tex][tex]log r = 0.4600704139[/tex]Taking antilog on both sides, we find:[tex]antilog(log r )= antilog(0.4600704139)[/tex][tex]\implies r = 2.8844991406[/tex][tex]\implies \huge \red{r = 2.88\: cm}[/tex][tex]\implies 2\times \sqrt [3]3 = 2.88[/tex]Simplify radical expression
√10z^5 - z^2 √10z
Answer:
√10z^3(z - 1)(z + 1).
Step-by-step explanation:
The GCF is √10z* z^2
= √10z^3
So factoring we get
√10z^3(z^2 - 1) The expression in brackets is difference of 2 squares so:
= √10z^3(z - 1)(z + 1)
Given:
O {2,5}
O {1, 7, 11}
Set A = 1, 2, 5, 7, 11
Set B= 1, 4, 7, 8, 11
What is AUB?
O {1, 2, 4, 5, 8, 11}
O {1, 2, 4, 5, 7, 8, 11}
Submit Answer
Step-by-step explanation:
the united set of A and B contains every element of both sets without listing any element twice.
so, it is
{1, 2, 4, 5, 7, 8, 11}
Need help trying to find the answer
Answer:
3/20
Step-by-step explanation:
1. Multiply the numerators
2. Multiply the denominators
3. Your answer, in this case, will be 6/40
4. Simplify fraction to its simplest form* which gives you 3/20
*I halved both numbers as they are both even
Hope this helped :)
Is substitutions the best method to use when one variable is already known
Kate's house exterior needs painting.
Disregarding windows and doors, find the surface area of the walls.
Explanation:
Perimeter of the base = 8+10+15+7+23+17 = 80 meters
The 23 is from 8+15 = 23 and it is the length along the back wall, while the 10+7 = 17 is the length along the left side wall. Both the sides of 23 and 17 are hidden from view. The height of 5 meters is not part of the perimeter of the base.
Multiply the perimeter of the base by the height of the building to find the lateral area, aka wall area.
80*5 = 400 square meters
Identify a pattern in the given list of numbers. Then use this pattern to find the next number. 17,7,-3,-13,-23
Answer:
-33
Step-by-step explanation:
The sequence is descending so the nth term would be -10n and the 0 term would be 27 so the nth term for the sequence would be -10n +27.
The question asks you to find the 6th term so (-10 x 6) + 27 = -60 + 27 = -33
Find the measure of angle k
Answer:
30
Step-by-step explanation:
Which function has the same minimum value as ? f(x) = 3x 3 f(x) = |x| 3 f(x) = –x2 3
The function that has the same minimum value as fx= 3x³ is f(x) = x + 3.
What is a function?It should be noted that a function simply means a relation or expression that involves two or more variables.
In this case, the function that has the same minimum value as the expression of 3x³ is f = x + 3.
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Answer:b
Step-by-step explanation:
What are the y-intercept and the slope of the line represented in the graph?
A. y-intercept = -4 and slope = -2
B. y-interecept = 4 and slope = -2
C. y-interecept = 2 and slope = 4
D. y-interecept = 4 and slope = -4
I NEED HELP ON THE ONES THAT AREN'T CROSSED OFF!!!!!!!!!!!!!!!!!!!!! PLEASEEEEEEEEEEEEEEEEEEEEE ( i already did 8)
The computation of the word problem shows that the oranges will John have in 12 weeks will be 70 oranges.
How to solve the word problem?The word problem will be that John has 10 oranges and buys 5 more oranges every week. How many oranges will John have in 12 weeks.
The computation will be:
= 10 + 5x
where x= number of weeks.
= 10 + 5x
= 10 + 5(12)
= 10 + 60
= 70 oranges
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In which data set does the range have the greatest spread?
A. 10, 11, 11, 14, 14
B. 10, 13, 13, 14, 15
C. 9, 11, 11, 13, 14, 15, 16
D. 8, 11, 13, 13, 17, 20, 23
Answer:
D (8, 11, 13, 13,17,20,23)
Step-by-step explanation:
I did this and got it correct.
free easy point just answer pls, i need help!!!
Answer:AA , BB , and CC are parallel to MN.
Step-by-step explanation:
HellpppNeed help please urgent
Answer:
the answer is 63.59m²
Step-by-step explanation:
[tex]radius = \frac{diameter}{2} \\ = \frac{3}{2} \\ = \frac{9}{2} (since \:1cm = 3m \: so \: 3cm = 9m) \\ = 4.5 \\ area \: of \: circle = \pi {r}^{2} \\ = 3.14 \times (4.5) {}^{2} \\ = 3.14 \times 20.25 \\ = 63.585 {m}^{2} [/tex]
Solve for Unknown: x/10=24/39.
Do not put variable, only put the number value to the nearest whole number.
Answer:
6
Step-by-step explanation:
When you have a proportion (fraction=fraction), you can crossmultiply to solve. See image.
PLEASE HELP ASAP
What is an
equation of the line that passes through the points (3,3) and (3, -3)
If function f : R --> R where f(X)=X³ - kX² + 12X - 7 is a one to one function, then k belongs to....
Since f(x) is a cubic polynomial, it has at most 3 distinct roots. If f(x) has 3 real roots, then f(x) = 0 for more than one instance of x.
But if f(x) is one-to-one, then there must be only one real root and the other two are non-real. Let a + bi and a - bi be these non-real roots and c the single real root; then we can factorize f(x) as
[tex]f(x) = x^3 - kx^2 + 12x + 7 = (x - (a + bi)) (x - (a - bi)) (x - c)[/tex]
Expand the right side to get
[tex]f(x) = x^3 - kx^2 + 12x + 7 = (x^2 - 2ax + a^2+b^2) (x - c)[/tex]
[tex]f(x) = x^3 - kx^2 + 12x + 7 = x^3 - (2a + c) x^2 + (a^2 + 2ac + b^2) x - (a^2c + b^2c)[/tex]
from which it follows that
[tex]\begin{cases}k = 2a + c \\ 12 = a^2+2ac+b^2 \\ 7 = -a^2c-b^2c\end{cases}[/tex]
Since f(x) has only one root, its graph will have no turning points/extrema. If f(x) has a critical point, it must be a saddle point. Differentiating f(x) yields
[tex]f'(x) = 3x^2 - 2kx + 12[/tex]
Solve for the critical point:
[tex]f'(x) = 3x^2 - 2kx + 12 = 0[/tex]
[tex]x^2 - \dfrac{2k}3 x = -4[/tex]
[tex]x^2 - \dfrac{2k}3 x + \dfrac{k^2}9 = \dfrac{k^2}9-4[/tex]
[tex]\left(x - \dfrac k3\right)^2 = \dfrac{k^2}9-4[/tex]
[tex]x = \dfrac k3 \pm \sqrt{\dfrac{k^2}9-4}[/tex]
There is at most one real critical point, so either the square root term vanishes or it produces a non-real number. This happens for
[tex]\dfrac{k^2}9 - 4 \le 0 \implies k^2 \le 36 \implies -6 \le k \le 6[/tex]
So, if f(x) is one-to-one, then
[tex]k \in \left\{\kappa \in \Bbb R \mid -6 \le \kappa \le 6\right\}[/tex]
What do you call a line segment which passes throughthe center of the circle from on side to the other?
[tex]{\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}[/tex]
DiameterAnswer:
diameter of the circle
Step-by-step explanation:
A chord that passes through a circle's centre is a diameter of the circle.
How can you use a single measure to describe a data set?
Answer:
There are many ways to describe a data set using a single measure. Some common ways are to find the mean, median, or mode of the data set.
Step-by-step explanation:
A single measure can be used to describe a data set in the form of a statistic. This statistic can be used to measure the central tendency, dispersion, or shape of the data set. For example, the mean can be used to describe the central tendency of a data set, while the standard deviation can be used to describe the dispersion of a data set.
A couple Invested $6100 in an account some of it went into a savings account paying 3% annual simple interest . The rest was invested in a riskier mini - mall development plan paying 11% annual simple interest . The combined interest earned for the first year was $503 . How much money was invested at each rate ?
Answer:
4387.63
Step-by-step explanation:
A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground.
To the nearest tenth of a foot, how far from the building is the base of the ladder?
9.1 ft
30.5 ft
32.3 ft
39.5 ft
Answer:
the answer is C :) hope it helps
Answer:its actually 9.1 ft
Step-by-step explanation: i just took the same test
An animal shelter had 45 animals adopted over one week. The ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.
Select the diagrams that would represent the types of animals adopted.
Alt_text
Alt_text
Alt_text
Alt_text
Alt_text
Part B
How many of each type of animals were adopted?
ferrets,
dogs,
cats
Answer:
there are 3 ferrets,15 dogs,27 cats
Step-by-step explanation:
the ratio of the three
9:5:1
the ferrets,1/15 * 45= 3
the dogs,5/15 * 45= 15
the cats, 9/15 * 45=27
