Answer:
Jackson could have worked at least 10 hours.
Step-by-step explanation:
120+8h≥200
-120 -120
8h≥80
/8 /8
h≥10
What is the lim as x approaches pi [integral 1+tan t from pi to x]/(pi sin x)
Apply l'Hopital's rule:
[tex]\displaystyle\lim_{x\to\pi}\frac{\displaystyle\int_\pi^x (1+\tan(t))\,\mathrm dt}{\pi\sin(x)}=\lim_{x\to\pi}\frac{1+\tan(x)}{\pi\cos(x)}=\frac{1+\tan(\pi)}{\pi\cos(\pi)}=\boxed{-\frac1\pi}[/tex]
where
[tex]\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)[/tex]
follows from the fundamental theorem of calculus.
AXYZ is graphed on the coordinate plane using the following vertices:
X(2,7) Y(8,7) Z(5,2). Which of the following is the closest to the perimeter
of this triangle? *
18
17
16
15
Answer: The exact answer is 17.662 so I would assume the answer is 18 because it rounds up
Step-by-step explanation:
Ok now that the image works did I do this right?
In the figure, a square is inside another bigger square.
If a = 4 units and b = 3 units, the length of the diagonal of the outside square rounded to the nearest tenth is units and the length of the diagonal of the inside square rounded to the nearest tenth is units ? Can someone help ?
Answer:
c=5
Step-by-step explanation:
in right lower triangle
c²=a²+b²
c=√(4²+3²)=√25=5
sorry I don't understand it.which length of diagonal is needed to find.comment me.
The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees. Write an expression to represent how many trees will be left in 10 years. Then, evaluate the expression.
The number of the trees that will be left after 10 years will be 2.3 billions.
What is the percent decrease?A rate of change is negative when the output decreases as the input increases or when the output increases as the input decreases.
Given that, the number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees.
The expression will be:
A = P(1-r)ⁿ
A = final amount
P = initial amount
r = rate
n = time
Therefore,
A = 2500000000(1-00.5)¹⁰
A = 2500000000(0.995)¹⁰
A = 2300000000
Hence, the number of the trees that will be left after 10 years will be 2.3 billions.
Learn more about decreasing rate, click;
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what is the name for the marked?
Answer:
C not sure though
Step-by-step explanation:
Find the value of each variable. I’ll mark you as a brainliest
Answer:
See below
Step-by-step explanation:
Q11
Triangle is 45° and therefore isosceles
x = 10y = 10√2Q12
y = 2*7 = 14 as the side opposite to 30° angle is half of the hypotenusex = √14²-7² = 7√3Q13
x = 32/2 = 16, same reason as abovey = 16√3Q14
x = y = 6/√2 = 6√2/2 = 3√2Q15
x = 11√3/√3 = 11y = 2x = 2*11 = 22Q16
z = 24√2/√2 = 24x = 24√3y = x/2 = 24√3/2 = 12√3Arnav knows that (3,4,5) and (5,12,13) are pythagorean triples. He wants to show that (15,20,25) is also a pythagorean triple. Besides using the converse of the pythagorean theorem, is there another way Arnav can show that (15,20,25) is a pythagorean triple?
Answer:
easy do you want to get (15,20,25) from (3,4,5)and from(5,12,13)
Step-by-step explanation:
Arnav can use the fact that scaling doesn't affect the angles of a triangle, and that (3,4,5) is already stated being a Pythagorean triple.
What are similar figures?Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.
So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:
M = k × L unitswhere 'k' will be called as scale factor.
The linear things grow linearly like length, height etc.
We're given that:
(3,4,5) is a pythagorean triple.
Let ABC be a right angled triangle possessing those sides (as the side lengths of a right angled triangle form pythagorean triple).
Scale each side of ABC by scale factor of 5, then we get:
(15, 20, 25) as a triple.
When scaling a figure, angles in it doesn't change because of angle being a relative quantity, not depending on the length of sides, but on the degree of rotation between two sides, which is unaffected because of scaling.
That means, that right angled triangle ABC, when scaled is still right angled triangle (because of its one of the angle 90 degrees still being 90 degrees in the new scaled triangle), but its sides are (15,20,25).
Now, since the triple (15,20,25) is side lengths of a right angled triangle, therefore, it is a pythagorean triple.
Thus, arnav can use the fact that scaling doesn't affect the angles of a triangle, and that (3,4,5) is already stated being a Pythagorean triple.
Learn more about scale factor here:
https://brainly.com/question/8765466
Find the solution of these two equations. Y=1/5x-7 and y=-x-1
Answer:For the first one it would be x=35
And the 2nd one would just be x=-1
Step-by-step explanation:
I need help! Thanks!
can someone help me please im struggling and can’t figure these 2 problems out :(
Amelia is going to invest in an account paying an interest rate of 2.3% compounded quarterly. How much would Amelia need to invest, to the nearest hundred dollars, for the value of the account to reach $1,530 in 19 years?
Answer:
Amelia needs to invest $989.57.
Step-by-step explanation:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Amelia is going to invest in an account paying an interest rate of 2.3% compounded quarterly.
This means that [tex]r = 0.023, n = 4[/tex].
How much would Amelia need to invest, to the nearest hundred dollars, for the value of the account to reach $1,530 in 19 years?
We have to find P for which [tex]A(t) = 1530[/tex] when [tex]t = 19[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]1530 = P(1 + \frac{0.023}{4})^{4*19}[/tex]
[tex]P = \frac{1530}{(1 + \frac{0.023}{4})^{4*19}}[/tex]
[tex]P = 989.57[/tex]
Amelia needs to invest $989.57.
A car is moving at a rate of 35 miles per hour, and the diameter of its wheels is 2.5 feet. (Round 1 decimal place).
A.) Find the number of revolutions per minute that the wheels are rotating.
B.) Find the angular speed of the wheels in radians per minute.
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due in 5 min will mark brainliest if corect
Pls help me I need this now pls
Answer:
450 cm
Step-by-step explanation:
25 on both sides 2x25
4 squares = 25x4
4 sides for 4 squares = 100x4
400+50
Answer: C
Step-by-step explanation:
help pls
A scale drawing of a rectangular basketball court measures 7 inches long and 4 inches wide. If the scale used for the drawing is 2.5 inches equals 5 yards, what is the actual length of the park?
Answer:
the length is 14 yards and the width is 8 yards
Please help me if u know
Answers
x= -3/2
x= 3i
x= -3i
Step-by-step explanation:
f (x) = 2x3 + 3x2 + 18x + 27
Set 2x^3 + 3x^2 + 18x + 27 equal to 0.
2x^3 + 3x^2 + 18x + 27 = 0
Solve for x.
Factor the left side of the equation.
Factor out the greatest common factor from each group.
x^2 (2x + 3) + 9 (2x + 3) = 0
Factor the polynomial by factoring out the greatest common factor, 2x + 3. (2x + 3) (x^2 + 9) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
2x + 3 = 0
x^2 + 9 = 0
Set 2x + 3 equal to 0 and solve for x.
Set 2x + 3 equal to 0. 2x + 3 = 0
Solve 2x + 3 = 0 for x. Tap for more steps...
3 x = − 2
Set x2 + 9 equal to 0 and solve for x.
Set x2 + 9 equal to 0. x2 + 9 = 0
Solve x2 + 9 = 0 for x.
x = 3i, −3i
The final solution is all the values that make (2x + 3) (x2 + 9) = 0 true.
x = − 3/2 , 3i, −3i
PLEASE HELP IVE BEEN TRYING TO FIGURE THIS OUT FOR 30 MINUTES AND I STILL CANT GET IT BLKADJFD
Answer:
Number 1
Step-by-step explanation: Not sure just assuming I think I am right not gonna lie
Answer:
[tex]m\angle R=35^{\circ}\\m\angle T=45^{\circ}[/tex]
Step-by-step explanation:
Since both triangles in this figure are similar, their corresponding angles must be equal.
Since [tex]\angle R[/tex] corresponds with [tex]\angle U[/tex]:
[tex]m\angle U=m\angle R=\fbox{$35^{\circ}$}[/tex].
Similarly, [tex]\angle T[/tex] corresponds with [tex]\angle Q[/tex]:
[tex]m\angle Q=m\angle T=\fbox{$45^{\circ}$}[/tex].
What is the value of the expression below?
11–8+4 - 13-911
A
-18
B. -2
O
C. 0
D.
2
O
E.
18
Answer:
B.
Step-by-step explanation:
Anderia is having a party with 25 people. She has 6 1/2 large pizzas at the party. She gives equal amounts of pizza to each person. What fraction of pizza does each person get?
Answer:
Everyone got 52/25 = 2.08 slices of pizza.
Step-by-step explanation:
1 large sized pizza = 8 slices
6.5 large sized pizzas = 52 slices
52/25 = 2.08
Hope this helps :D
Mang ambo is a meat vendor
Answer:
can you elaborate a little more
Pierce swims 10 laps in a pool in 8 minutes. He spent the same amount of time on each lap. How much time did each lap take him?
Answer:
48 sec.
Step-by-step explanation:
8 devided by 10.
Answer:
48 seconds
Step-by-step explanation:
8 min / 10 laps = 0.8 mins
to convert minutes into seconds, multiply by 60
0.8*60 = 48 seconds
A circle has a diameter of 18
m. Find the area of the sector
whose central angle is 135º
Answer: i think i would be half of it
Step-by-step explanation:
find all values of theta if theta is in the interval [0degrees,360degrees) and has the given function value
sec theta= -2
Answer:
[tex]\theta = 120, 240[/tex], in degrees
Step-by-step explanation:
The secant of an angle is given by:
[tex]\sec{\theta} = \frac{1}{\cos{\theta}}[/tex]
In this question:
[tex]\sec{\theta} = -2[/tex]
So
[tex]\frac{1}{\cos{\theta}} = -2[/tex]
[tex]-2\cos{\theta} = 1[/tex]
[tex]\cos{\theta} = -\frac{1}{2}[/tex]
In the first quadrant, the angle that has cosine of 1/2 is 60º.
The cosine is negative in the second and in the third quadrant.
The equivalent angle to 60º in the second quadrant is of 180º - 60º = 120º.
The equivalent angle to 60º in the third quadrant is of 180º + 60º = 240º
So the values of [tex]\theta[/tex] in the interval are:
[tex]\theta = 120, 240[/tex], in degrees
Please solve log4 5-log4 18 =log4 20-2log4 x
Thank You
Answer:
your answer will be 22
Step-by-step explanation:
if you add 20 by 2 it will give you 22 use a calculator if not sure but 22 is your answer
Change each of the following decimals to a fraction. Reduce your answer to its lowest terms.
0.07
0.3
0.168
0.0012
0.14
A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let X represent the shop's profit on a randomly selected pizza. Here's the probability distribution of XXX along with summary statistics:
Small Medium Large
X= Profit($) 4 8 12
P(X) 0.18 0.50 0.32
Mean μx= $8.56
Standard Deviation σx ≈ 2.77
The company is going to run a promotion where customers get $2 off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let Y represent their profit on a randomly selected pizza with this promotion. What are the mean and standard deviation of Y?
Answer:
μy = $6.56 ; σy = 2.77
Step-by-step explanation:
Given the data :
Mean μx= $8.56
Standard Deviation σx ≈ 2.77
Profit, Y on pizza with current promo :
Price off on pizza = $2
Y = x - 2
μx = E(x) = $8.56
μy = μ(x - 2)
μy = μx - $2
μy = $8.56 - $2
μy = $6.56
For the standard deviation of y
σx ≈ 2.77
σy = σ(x - 2)
σy = σx - 2
Constants are treated as 0 for standard deviation
σy = 2.77
helppppppppppppppppppppppppppppppppjhfyigcusfdcusVCOUVc
Answer:
use the app called msthway
12. Which of the relations below is a function?
A. {(1, 1,), (2, 1), (3, 1), (4, 1), (5, 1)}
B. {(3, 1), (2, 2), (3, 3), (2, 4), (2,5)}
C. {(2, 1), (2, 2), (2, 3), (2, 4), (2,5)}
D. {(1, 1), (2, 2), (2, 3), (2, 4), (1,5)}
Answer:
A
Step-by-step explanation:
a function may not have the same values of X.
Apply the distributive property to create an equivalent expression,
1/3(3j+ 6)
Answer:
j + 2
Step-by-step explanation:
1/3(3j) + 1/3(6)
1/3(3j) = j
1/3(6) = 2
Answer: j + 2