Answers
Answer:
As Doris Day said: Good morning to you
Answer 27/2
Step-by-step explanation:
[tex]f(x)=-x^3+5x\\F(x)=-\dfrac{x^4}{4} +\dfrac{5x^2}{2} \\F(2)=\dfrac{-16}{4}+\dfrac{20}{2} =6\\\\F(-1)=\dfrac{-1}{4} +\frac{5}{2} =\dfrac{9}{4} \\g(x)=\dfrac{3x^2}{2}+\dfrac{x}{2}-5\\\\G(x)=\dfrac{x^3}{2} +x^2-5x\\\\G(2)=4+1-10=-5\\\\G(-1)=\dfrac{-1}{2} +\dfrac{1}{4} +5=\dfrac{19}{4} \\\\\int\limits^2_{-1} {(f(x)-g(x))} \, dx =F(2)-G(2)-(F(-1)-G(-1))\\\\=11+\dfrac{5}{2} =\dfrac{27}{2}[/tex]
Related Questions
If each side of a cube is doubled, its volume?
Answers
If you double each side the volume is 8 times
Must click thanks and mark brainliest
When the movies is half over , popcorn sells for half price. Full price popcorn is $3.50 and drinks are $1.35 . Determine the cost for purchasing 3 orders of popcorn and 3 drinks when the movie is half over
Answers
Answer:
The total price is $9.30
Step-by-step explanation:
Price of the orders of popcorn= $5.25
Price of the drinks= $4.05
A car left Sydney at 9 am and arrived in
Melbourne at 6 pm. The distance travelled
was 711 km. Find the car's average speed.
km/h
Answers
Answer:
average speed = distance/ time
711/9
79km/h
Given the function g(x) = x^2 + 5x + 14, determine the average rate of change
of the function over the interval 1 < x < 7.
Answers
Answer:
13
Step-by-step explanation:
The average rate of change is
f(7) - f(1)
---------------
7-1
f(7) = 7^2 + 5*7 +14 = 49 +35 +14=98
f(1) = 1^2 +5(1)+14 = 1+5+14=20
98-20
--------
7-1
78/6
13
If you flip three fair coins, what is the probability that you'll get a tail on the first flip, a head on the second flip, and another tail on the third flip?
Please explain,... I'll give you Brainliest if you Explain,... thanks
Answers
Answer:
1/8 of a chance to flip 3 coins and get that exact combination in that order
Explanation:
a coin has 2 sides, heads and tails, with an equal chance to land on each of them. 1/2 chance to get tails on the first flip x 1/2 chance to get heads on the second flip x 1/2 chance to get tails on the third flip. 1/2 x 1/2 x 1/2 = 1/8.
If p(x) = 3x³-7x-4 and g(n)-4x^3-7x^2- 2x are polynomials then find the degree of p(x)+q (x)
Answers
Answer:
3.
Step-by-step explanation:
p(x) + q(x)
= -x^3 - 7x^2 - 9x - 4
- whose degree is 3 ( the highest index is 3)
ji and jl are opposite rays
Answers
Please help!! 20 points
(-78) + 69 =
Answers
Answer:
-9
Step-by-step explanation:
Since the signs are different, subtract the two numbers and take the sign of the larger number
78 - 69
9
Since 78 is the larger number and it was negative
-9
Answer:
-9
Step-by-step explanation:
-78+69
=-9
happy to help
what is the decimal expansion of -11/15
Answers
Answer:
−0.73333333333333
Step-by-step explanation:
This is the decimal form of -11/15
Two consecutive even whole numbers have a product of 360. What is the smaller of the
two number?
Answers
Answer:
18
Step-by-step explanation:
To find this answer you would need to use the formula x(x+2) = 360 where x is an even number. This is the formula because any number plus 2 equals the next consecutive, even whole number. If we look at the factors of 360 we see the factors-
360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.
If we look through all of the factors 18 and 20 are the only ones with a 2 number difference.
Next, if we plug 18 into the equation:
x(x+2) =360
18(18+2) = 360
324+36 = 360
360 = 360
Since the equation works, x = 18.
answer for brainiest
Answers
Answer:
Hello
answer :B and C
Step-by-step explanation:
√25=5 is an integer
b) is not an integer
c) is not an integer=0.75
d) is an integer
If you know the answer please help me
Answers
Answer:
2/7
Step-by-step explanation:
This is basically asking how many 7/10 's fit in 1/5. Or 1/5 divided by 7/10.
1/5 divided by 7/10 is the same as 1/5 times the reciprocal, 10/7. Therefore it is 1/5*10/7, or 10/35.
That simplifies to 2/7.
Is this a function or no ?
Answers
Pls pls pls help me
Answers
Answer:
48
Step-by-step explanation:
AC = 10
DC² = 10² - 6² = 64
DC = 8
[tex]A_{ABCD}[/tex] = 6 × 8 = 48
1. What property could you use to show that triangles ACT and ODG are congruent?
Answers
Answer:
SSS
Step-by-step explanation:
We do not know any of the angles, and we also do not know if the triangles are right triangles. Thus, SSS is the only option left. We know that all three sides are congruent anyway.
Answer:
SSS
Step-by-step explanation:
AC = OD
AT = OG
CT = DG
You have three congruent sides making ΔACT & ΔODG congruent by SSS.
Each month a manufacturing plant makes 14500 light bulbs. last month, a random sample of 200 bulbs found that 2.5% were defective. Estimate the number of defective bulbs that were produced last month.
PLEASE HELP ASAP I WILL GIVE BRAINLIEST
Answers
Answer:
363
Step-by-step explanation:
Of 2.5% of 200 is 5 so we can scale that up to 14500 we get 362.5 and then we round it up to 363.
(81/16)1/4 +(81/16)0
Answers
Answer:
should be 0.28125
Step-by-step explanation:
find the surface area. Leave your answer in terms of pi
Answers
Answer:
210*pi
Step-by-step explanation:
Surface area=2*pi*r*(r+h)
=2*pi*5*(21)=210*pi
Evaluate the expression shown below and write your answer as a fraction in simplest form(1/10-2/3) ÷ 0.5
Answers
Answer:
[tex]\frac{-17}{15}[/tex]
Step-by-step explanation:
When solving this problem you must follow PEMDAS, so parentheses should go first. To solve 1/10 - 2/3, first, find the common denominator. In this case, that is 30. Then, subtract, [tex]\frac{3}{30} - \frac{20}{30}[/tex]. This equals -17/30. Finally, divide by 0.5. To do this remember that dividing by half is the same as multiplying by 2. Doing [tex]\frac{-17}{30} *2[/tex] equals [tex]\frac{-17}{15}[/tex].
4. Given the diagram below what is the length of RS or the distance across a body of water?
Answers
Answer:
62 ft
i know its a late answer but i just did the test
If the length of ST is 62 feet the length of RS or the distance across a body of water will also be 62 feet.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅. When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
It is given that the length of s ST is 62 feet and PS = PQ.
The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.
Since the one angle in both triangles is 90° and the two sides are equal the two triangles are equal.
The ratio of the sides is equal if the triangle is congruent. As a result,
PS / PQ = RS / ST
1 = RS / ST
RS = ST
RS = 62 feet
Thus, if the length of ST is 62 feet the length of RS or the distance across a body of water will also be 62 feet.
Learn more about the congruent triangle here:
brainly.com/question/12413243
#SPJ5
Which equation is the inverse of 5y+4= (x+37 + 2?
O y=z28++
O y = 32, 5x + 7 /
054-4--4x+3)2-1
O y=-32, 5x + 1 / 3
ASAP please!!!
Answers
Answer:
It's option D. -3 ± √5x+7/2
See the images below for step by step explanation. I also included a graph for better understanding of the inverse.
Please help with this question!
Answers
9514 1404 393
Answer:
about 0.31°
Step-by-step explanation:
First of all, solve for sin(2θ):
3000 = (1/32)(3000^2)sin(2θ)
32(3000)/3000^2 = sin(2θ)
4/375 = sin(2θ) . . . . . . . simplify
Now, we find the corresponding angle:
2θ = arcsin(4/375) ≈ 0.61117°
θ ≈ 0.30558° ≈ 0.31°
The angle of elevation must be about 0.31°.
How much money will be in a bank account after 3 years if $9 is deposited at an interest rate of 5% compounded annually? Round to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
$13.1
Write (25x^2 + 30x + 12) in the form (ax + b)^2 + c.
Answers
Answer:
25 x^2 + 30 x + 12
Parcelas
Plots
Parcelas
Figura geométrica
parabola
Formas alternativas
x (25 x + 30) + 12
(5 x + 3)^2 + 3
5 x (5 x + 6) + 12
Raíces complejas
x = -1/5 i (sqrt(3) + -3 i)
x = 1/5 i (sqrt(3) + 3 i)
Step-by-step explanation:
In ΔRST, m∠R = 92° and m∠S = 71°. Which list has the sides of ΔRST in order from shortest to longest?
Answers
Answer:
RS, RT, ST
Step-by-step explanation:
We require the third angle in the triangle
∠ T = 180° - (92 + 71)° = 180° - 163° = 17°
The shortest side is opposite the smallest angle
∠ T = 17° → opposite side RS
The longest side is opposite the largest angle
∠ R = 92° → opposite side ST
Then sides from shortest to longest is
RS, RT, ST
Simplify.
4-3i/6-4i
A. 18-i/26
B. 15-3i/26
C. -4+3i
D. 3+2i/13
Answers
Answer:
A
Step-by-step explanation:
To simplify the expression multiply the numerator and denominator by the conjugate of the denominator.
Note that i² = - 1
The conjugate of 6 - 4i is 6 + 4i , then
= [tex]\frac{(4-3i)(6+4i)}{(6-4i)(6+4i)}[/tex] ← expand numerator./ denominator using FOIL
= [tex]\frac{24+16i-18i-12i^2}{36+24i-24i-16i^2}[/tex]
= [tex]\frac{24-2i+12}{36+16}[/tex]
= [tex]\frac{36-2i}{52}[/tex]
= [tex]\frac{2(18-i)}{52}[/tex]
= [tex]\frac{18-i}{26}[/tex] → A
calculate w reasons the size of the unknown angles
Answers
Answer:
a= 75°
β= 30°
Step-by-step explanation:
α = 75° This is because triangle PQR isosceles. Thus two of its angles are equal and these two are angle α and the one labelled 75.
β = 30° This is because angles in a triangle sum up to 180°. We already know two of these angles. To find β you say 180 - ( 75 × 2)
The answer becomes 30°.
HOPE THIS HELPED
A geometric series has a common ratio of (-2) and the first term is 3.
Show that the sum of the first eight positive terms of the series is 65 535.
Answers
Answer:
see explanation
Step-by-step explanation:
The sum to n terms of a geometric series is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Given a₁ = 3 and r = - 2 , then
3 × - 2 = - 6
- 6 × -2 = 12
12 × - 2 = - 24
- 24 × - 2 = 48
48 × - 2 = - 96
- 96 × - 2 = 192
The positive terms are in a geometric progression
3, 12, 48, 192, ....
with a₁ = 3 and r = 12 ÷ 3 = 48 ÷ 12 = 4 , then
S₈ = [tex]\frac{3(4^{8}-1) }{4-1}[/tex] = [tex]\frac{3(65536-1)}{3}[/tex] = 65536 - 1 = 65535
What is the most dangerous country
Answers
Answer:
Iceland
Step-by-step explanation:
LCM of two even number is 220, find their sum
Answers
Answer:
Two consecutive even terms and LCM = 180
Let’s assume the two terms:
1st term : 2x
2nd term : 2x + 2
There is a rule which states that
If ‘a’ and ‘b’ are two numbers, then their product is equal to the product of their LCM and HCF.
i.e,
a∗b=HCF∗LCM - (i)
We can logically say that the HCF of any two consecutive even numbers is always equal to ‘2’ provided that the smallest no. is at least ‘2’.
i.e.,
HCF of ‘2x’ and ‘2x + 2’ is ‘2’ - (ii)
Therefore,
from (i) and (ii),
2x∗(2x+2)= HCF * LCM
2x∗(2x+2)=2∗180
x∗(2x+2)=180
2x2+2x−180=0
Solving the quadratic equation we get,
x=9,−10 (we discard -10 since it is negative)
Therefore, the numbers are
2∗9=18 (1st no.)
2∗9+2=18+2=20 (2nd no.)
Answer : 18,20
Step-by-step explanation:
