Answer:
-27 -6z
Step-by-step explanation:
"Simplify" in this context means "eliminate parentheses." You do that by making use of the distributive property. The factor -3 outside the parentheses multiplies each term inside parentheses.
-3(9 +2z)
= -3(9) +(-3)(2z)
= -27 -6z
Hey there!
-3(9 + 2z)
= -3(9) - 3(2z)
= -27 - 6z
= -6z - 27
Therefore, your answer is: -6z - 27
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
In Chelsea's group, there are three boys and six girls. Write a fraction, in simplest form, to represent the amount of boys in the group.
Answer: 3/9 should be the answer :)
Step-by-step explanation:
6.What is of 40%of40%? a.12. b.14 .c.15.d.16
Percentage
0.4 x 0.4 = 0.16 =16% (d)
1. Is (3, -1) a solution to the system?
Answer:
No
Step-by-step explanation:
To find point (3, -1), begin at the origin. Move 3 units to the right, then 1 unit down.
Neither of the lines go through the point (3, -1)
Answer:
No
Step-by-step explanation:
No, (3, -1) is not a solution to the system. Because, lines are not intersecting at this point.
Actually, both the lines are going parallel to each other. Hence, there will be no solution.
I’m so lost, please help!
Answer:
a = 156°
b = 132°
c = 108°
Step-by-step explanation:
The sum of the exterior angles of a polygon equals 360°. The sum of an interior and exterior angle equals 180°. There are two missing exterior angles that you need to find the measure of so we can find the value of x.
First exterior angle is with the 82° interior angle. Subtract from 180 to find the exterior angle.
180 - 82 = 98°
The second exterior angle is with the 134° interior angle. Subtract from 180 to find the exterior angle.
180 - 134 = 46°
Now add all the exterior angles together and set them equal to 360.
x + 2x + 3x +72 + 98 + 46 = 360
6x + 216 = 360
6x + 216 -216 = 360 -216
6x = 144
6x/6 = 144/6
x = 24
No find the exterior angles then subtract each one from 180°.
To find a.
a + x = 180
a + 24 = 180
a + 24 - 24 = 180 - 24
a = 156°
To find b.
b + 2x = 180
b + 2(24) = 180
b + 48 = 180
b + 48 - 48 = 180 - 48
b = 132°
To find c.
c + 3x = 180
c + 3(24) = 180
c + 72 = 180
c + 72 - 72 = 180 -72
c = 108°
what is 29.1 + 78.9+ 41.5
Answer:
149.5
Step-by-step explanation
Answer:
149.50
Step-by-step explanation:
i did 29.1+78.8 = 107.90+ 41.5 and that's how i got 41.5
-3 1/2 divided by 1 1/4
-2 and 4/5 ..............................
Simplifying, we get
-3 1/2 is -3.5
1 1/4 is 1.25
so, -3.5/1.25=
-2.8
The flight from Perth to London is 16 hours and 35 minutes. The time in Perth is 7 hours ahead of London. A flight leaves Perth at 8am on Wednesday. What is the time in London when the flight arrives?
Answer:
Flight arrived in london on 5 : 35 pm Wednesday
Step-by-step explanation:
Time = 16 h 35 min
Time difference = 7 h
Flight time = 8am
So
According to perth time flight reached in london is
8 am + 16 h 35 m = 8 am + ( 12 h + 4h + 35 m) =
8pm + 4h +35 = 12am + 35m = 12 : 35 am
The time difference is 7 h ,so minus this from perth time
12 : 35 am - 7h = 5 : 35 pm
Mark brainliest if you understand
A parachutist’s speed during a free fall reaches 165 feet per second. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answer.
Answer:
[tex]x=750m[/tex]
Step-by-step explanation:
[tex]Assuming[/tex] [tex]That[/tex]:
[tex]1m=3.3ft[/tex]
We can make the conversion from feet per second to meters per second with this procedure:
[tex](165 \frac{ft}{s} ) (\frac{1m}{3.3ft} )=50\frac{m}{s}[/tex]
Let [tex]x[/tex] be the amount of meters the parachutist will fall during 15 seconds of free fall
Having that in 1 second the parachutist falls 50 meters, we can calculate [tex]x[/tex] :
[tex]x=(50\frac{m}{s} )(15s)[/tex]
[tex]x = 750 m[/tex]
Brainliest?!
Linda, Frank, and Alan served a total of 78 orders Monday at the school cafeteria. Linda served 6 more orders than Alan. Frank served 2 times as many orde as Alan. How many orders did they each serve? Number of orders Linda served:
frank served
Alan served
Answer:
Frank served 32
Alan served 18
Linda served 24
Step-by-step explanation:
78-6=72
72 divided by 4 = 18
Next time if you need help on these kind of questions, try drawing a bar diagram, it really helps
Hello everyone, I'm just having trouble on two questions for my Calculus work. I need to solve them using trig substitution to eliminate the root. Does anyone know where to start with this problem? Any help would be greatly appreciated!
The main idea is to exploit the trigonometric identity,
sin²(θ) + cos²(θ) = 1
2. For an integral containing 16 - 81x², you might substitute x = 4/9 sin(θ) (with differential dx = 4/9 cos(θ) dθ, but without an actual integral to work with this isn't really important). Then
16 - 81x² = 16 - 81 (4/9 sin(θ))²
… = 16 - 81 (16/81 sin²(θ))
… = 16 - 16 sin²(θ)
… = 16 (1 - sin²(θ))
… = 16 cos²(θ)
so that in the root expression, we would end up with
[tex]\left(16 - 81x^2\right)^{7/2} = \left(16\cos^2(\theta)\right)^{7/2} = 2^{14} |\cos(\theta)|^7[/tex]
since [tex](ab)^c=a^cb^c[/tex] for all real a, b, and c; [tex]16^{7/2}=\left(2^4\right)^{7/2}=2^{14}[/tex]; and [tex]\sqrt{x^2}=|x|[/tex] for all real x.
The goal is to replace x with some multiple of sin(θ) that makes the coefficients factor out like they did here, which then lets you reduce 1 - sin²(θ) to cos²(θ).
And don't be discouraged by the absolute values; in the context of a definite integral, there are things that can be done to remove them or otherwise simplify absolute value expressions.
3. Substitute z = 1/√8 sin(θ) (so that dz = 1/√8 cos(θ) dθ). Then
1 - 8z² = 1 - 8 (1/√8 sin(θ))²
… = 1 - 8 (1/8 sin²(θ))
… = 1 - sin²(θ)
… = cos²(θ)
so that
[tex]\left(1-8z^2\right)^{3/2} = \left(\cos^2(\theta)\right)^{3/2} = |\cos(\theta)|^3[/tex]
On a piece of paper, sketch or use a protractor to construct right triangle ABC with AB=3 in., m∠A=90°, and m∠B=45°.
What statement is true about the triangle?
A. BC=3 in
B. AC=3 in.
C. AC=6 in.
D. BC=6 in
f(x)=x²-1, g(x)=2x+1 ??
1. FoG
2.GoF
Answer:
1) 4x² + 4x
2) 2x² - 1
Explanation:
in these type of questions, we go right to left serially in function
given:
f(x)=x²-1g(x)=2x+11)
fg(x)
f(2x+1)
(2x+1)²-1
4x² + 4x + 1 -1
4x² + 4x
2)
gf(x)
g(x²-1)
2(x²-1) + 1
2x² - 2 + 1
2x² - 1
Note: Figure is not drawn to scale.
If h = 7 units and r = 3 units, then what is the volume of the cone shown above?
We know:-
[tex] \bigstar \boxed{ \rm Volume \: of \: Cone = \frac{1}{3} \pi {r}^{2} h}[/tex]
[tex] \\ \\ [/tex]
So:-
[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \pi {r}^{2} h[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \times \pi \times {3}^{2} \times 7 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \times \pi \times 3 \times 3 \times 7 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{\cancel3} \times \pi \times \cancel3 \times 3 \times 7 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\sf Volume \: of \: Cone =\pi \times 3 \times 7 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\sf Volume \: of \: Cone =\pi \times 21\\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\bf Volume \: of \: Cone = 21\pi[/tex]
[tex] \\ \\ [/tex]
Therefore option C is correct.
The Volume of the cone is 21π cubic units
The volume of a coneThe formula for calculating the volume of a cone is expressed as:
V = 1/3πr²h
where:
r is the radius = 3 units
h is the height = 7units
The volume of the cone = 1/3π(3)²*7
Volume of the cone = 3π * 7
Volume of the cone = 21π cubic units
Hence the Volume of the cone is 21π cubic units
Learn more on volume of a cone here: https://brainly.com/question/1082469
Can you please help me???
Answer:
Your answer of coplanar is correct
Step-by-step explanation:
A skew line are 2 lines that aren't parallel and do not intersect.
Since there are arrows on either end of AC and RS , it mean those lines continue, and they will eventually intersect.
It is also not the other 2 clearly, since they do intersect and they don't make a 90° angle
So yes,
The answer is Coplanar
Hope this helps.
help me please!!!!!!!
please help me with this question
Answer:
x = 14
Step-by-step explanation:
Think:
What subtracts 10 can get you 4?
Or you can add 10 on both sides.
PLS ANSWER AS SOON AS POSSIBLE
Answer:
-(x+8) (x-2) I think this is the answer
Apply the distributive property to factor out the greatest common factor. 6+30=
Answer:
6(1+5)
Step-by-step explanation:
The greatest common factor is 6
(6 + 30) = 6(1+5)
6(1+5) is the answer
Hope this helps :)
Have a nice day!
The white shark can grow to a length of 21 feet. This is 52.5% of the maximum length of the Baird's beaked whale. Find the maximum length of the Baird's beaked whale. If necessary, round your answer to the nearest tenth.
Answer:
31 ft.
Step-by-step explanation:
so 52.5% leaves 47.5% left. and so you can take 21 * 1.475 (147.5%) and get 30.975. you round to the nearest tenth which goes up to 31 ft.
Answer:
40
Step-by-step explanation:
I got this by working through all the answer choices, this one is most logical :) I also submitted my assignment and got this correct !
stay happy :)
An animal is running at a rate of 50 ft per sec.
(a) If the animal runs for 7 sec,
(b) If the animal travels d ft, what is its time
Answer:
49
Step-by-step explanation:
Help with this geometry problem
Answer:
∠DCA ≅ 56°
Reason: vertical angles theorem
∠DCF ≅ 144°
Reason: Angles on a straight line (DE) add up to 180°
∠ECB ≅ = 37°
Reason: Angles on a straight line (FA) add up to 180°
∠CAB ≅ ∠DCA ≅ 56°
Reason: Alternate interior angles theorem
∠CBA ≅ ∠ECB ≅ 37°
Reason: Alternate interior angles theorem
Step-by-step explanation:
∠DCA ≅ ∠ECF ≅ 56°
Reason: vertical angles theorem
∠DCF ≅ 180 - 56 = 144°
Reason: Angles on a straight line (DE) add up to 180°
∠ECB ≅ 180 - 56 - 87 = 37°
Reason: Angles on a straight line (FA) add up to 180°
∠CAB ≅ ∠DCA ≅ 56°
Reason: Alternate interior angles theorem
∠CBA ≅ ∠ECB ≅ 37°
Reason: Alternate interior angles theorem
A line which passes through the point (0,4) has gradient 5.
Write down the equation of the line.
A(0;4); x=0, y=4; m=5
General equation of linear function is [tex]y=mx+b[/tex] ⇒
[tex]4=0\times x+b\\b=4[/tex]
Answer: [tex]y=5x+4[/tex]
PLEEEASEE HELP ASSAAAPP!!!!
Name the property shown 4 (x+6) = 4(x) + 4(6)
Answer:
Distributive property
Step-by-step explanation:
Shows the breakdown of distributing the 4
4(x+6)
4x + 4(6)
Calculator
A net of a cylinder with radius 4 inches and height 8 inches is
given
What is the surface area of this cylinder?
8 in.
Use 3.14 for TT
Enter your answer in the box.
4 in.
in?
Answer:
200.96 in²Step-by-step explanation:
Surface area:
S = 2πrhS = 2*3.14*4*8 = 200.96 in²Solve the following inequality algebraically:
1 less-than 3 x minus 2 less-than 4
a.
1 less-than x less-than 2
b.
0 less-than x less-than 3
c.
1 greater-than x greater-than 2
d.
0 greater-than x greater-than 3
Answer:
1 less-than x less-than 2
b.
0 less-than x less-than 3
c.
1 greater-than x greater-than 2
d.
0 greater-than x greater-than 3
Answer:
The Answer is A. 1 < x < 2
Step-by-step explanation:
In right triangle ABC, AB=28, AC=18 and m
Answer:
Solution
Given,
In right angle triangle
AB=28
AC=18
BC = ?
By using Pythagoras therom
H square =B square +P square
28 = 18 + P
28-18 = P
10 = P
therefore BC = 10
Please help simplify the second question
Answer:
[tex]\frac{3x}{(x-3)(x+1)}[/tex]
Step-by-step explanation:
[tex]\frac{2x-1}{x^2-2x-3}[/tex] + [tex]\frac{1}{x-3}[/tex]
= [tex]\frac{2x-1}{(x-3)(x+1)}[/tex] + [tex]\frac{1}{x-3}[/tex]
multiply the numerator/ denominator of 2nd fraction by (x + 1)
= [tex]\frac{2x-1}{(x-3)(x+1)}[/tex] + [tex]\frac{x+1}{(x-3)(x+1)}[/tex]
add the numerators , leaving the common denominator
= [tex]\frac{2x-1+x+1}{(x-3)(x+1)}[/tex]
= [tex]\frac{3x}{(x-3)(x+1)}[/tex]
Answer:
A) (x+1)(x-3)
B) 3x / x^2 - 2x - 3
or (3x ÷ x^2 - 2x - 3)
Hope this helps!
Absolute minimum and maximum values of [tex]f(x)=2x^{3}-3x^{2} -12x+1[/tex] on the interval [-2,3]
Step-by-step explanation:
[tex]f'(x)=6x^{2}-6x-12[/tex]
So f'(x)=0:
x^2 - x - 2 = 0
(x-2)(x+1)=0
x=-1, 2
So we need to find the value of f at those critical points and also at the endpoints of the interval
f(-1)=-2-3+12+1=8
f(2)=16-12-24+1=-19
f(-2)=-16-12+24+1=-3
f(3)=54-27-36+1=-8
so the max is 8 and the min is -19
PLEASE HELP ASAP I WILL GIVE BRAINSLET TO THE CORRECT ANSWER!!!!!!!!!!
Answer:
Therefore has one solution.
explanation:
Given equations:
6x + y = -7
-24x -7y = 25
Make y the subject:
6x + y = -7
y = -7 - 6x ..............equation 1
-24x -7y = 25
-7y = 25 + 24x
y = (25 + 24x)/-7 ..........equation 2
Solve them simultaneously:
(25 + 24x)/-7 = -7 - 6x
25 + 24x = -7 (-7 - 6x)
25 + 24x = 49 + 42x
42x - 24x = 25- 42
18x = -24
x = [tex]-\frac{4}{3}[/tex]
Then y is:
y = -7 - 6x
y = -7 - 6( [tex]-\frac{4}{3}[/tex])
y = 1
Has one separate value of x and y: ( [tex]-\frac{4}{3}[/tex] , 1 ); so it has one solution.