Answer:
5 hours
Step-by-step explanation:
Time taken for trip : t + 1
Time taken for return : t
Avg. speed (trip) : 256 km/h
Avg. speed (return) : 320 km/h
The distances covered on both trips are equal.
⇒ Distance (trip) = Distance (return)
⇒ Speed (trip) × time (trip) = Speed (return) × time (return)
⇒ (256)(t + 1) = (320)(t)
⇒ 256t + 256 = 320t
⇒ 64t = 256
⇒ t = 4 hours
Time (trip) = t + 1 = 4 + 1 = 5 hours
What is the greatest common factor of the numerator of ?
The greatest common factor of the numerator and denominator of the rational expression is x - 4
How to determine the greatest common factor?The fraction expression is given as:
[tex]\frac{5x-20}{x^2-2x-8}[/tex]
Factorize the numerator and the denominator
[tex]\frac{5x-20}{x^2-2x-8} = \frac{5(x-4)}{(x- 4)(x + 2)}[/tex]
Cancel out the common factor
[tex]\frac{5x-20}{x^2-2x-8} = \frac{5}{(x + 2)}[/tex]
The common factor that was canceled out is x - 4
Hence, the greatest common factor of the numerator and denominator of the rational expression is x - 4
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I NEED HELP WITH THIS QUESTION PLEASE, i don't have much time T^T
i'll give brainliest and points, thank you in advancee <33
an explanation for future reference would be appreciated!!^^
Answer:
Option b is the correct answer
Step-by-step explanation:
[tex]\cos x = -\frac{12}{13}[/tex] (Given)Formula relating sin x and cos x is given as below:[tex]\sin^2x = 1-\cos^2x[/tex][tex]\implies \sin^2x = 1-\bigg(-\frac{12}{13}\bigg)^2[/tex][tex]\implies \sin^2x = 1-\frac{144}{169}[/tex][tex]\implies \sin^2x = \frac{169-144}{169}[/tex][tex]\implies \sin^2x = \frac{25}{169}[/tex][tex]\implies \sin x =\pm\sqrt{ \frac{25}{169}}[/tex][tex]\implies \sin x =\pm \frac{5}{13}[/tex]It is given that: 180° < x < 270°. This means x falls in the third quadrant. In third quadrant sin ratio is negative.[tex]\implies \sin x =- \frac{5}{13}[/tex]Now, we will find the value of tanx by dividing sinx by cosx.[tex]\implies \tan x =\frac{\sin x}{\cos x}[/tex][tex]\implies \tan x = \frac{-5/13}{-12/13}[/tex][tex]\implies\red{\bold{ \tan x =\frac{5}{12}}}[/tex]tan (90° + x) and tan x both lie in the interval 180° < x < 270°. So, the values of both will be equal.[tex]\implies \tan (90\degree + x ) =\tan x[/tex][tex]\implies \huge{\purple{\tan (90\degree + x ) =\frac{5}{12}}}[/tex]Answers this any links will be reported
Hey there!
ASSUMING
(3x)° + 45° = 180°
3x + 45 = 180°
SUBTRACT 45 to BOTH SIDES
3x + 45 - 45 = 180 - 45
SIMPLIFY IT!
3x = 180 - 45
3x = 135
DIVIDE 3 to BOTH SIDES
3x/3 = 135/3
SIMPLIFY IT!
x = 45°
Therefore, the answer should be:
x = 45
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex]\large\boxed{\sf{x=45}}[/tex]Step-by-step explanation:
Given:
Complementary angles of 180 degrees.To solve:
For x, to isolate it one side of the equation.(3x)°+45°=180°
3x+45=180First, subtract by 45 from both sides.
3x+45-45=180-45
Solve.
Subtract these numbers goes from left to right.
180-45=135
3x=135
Divide by 3 from both sides.
3x/3=135/3
Solve.
Divide these numbers from left to right.
135/3=45
[tex]\Longrightarrow: \boxed{\sf{x=45}}[/tex]
Therefore, the final answer is x=45.I hope this helps, let me know if you have any questions.
20 points
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 216, 36,6 Find the 8th term.
Answer:
0.001
Step-by-step explanation:
Given (or we can find) :
First term : 216
Common ratio : 36/216 = 1/6
To find 8th term :
a₈ = ar⁸⁻¹
a₈ = (216)(1/6)⁷
a₈ = 216/279936
a₈ = 6³/6⁷
a₈ = 1/6⁴
a₈ = 1/1296
a₈ = 0.000771604938
a₈ = 0.001 (nearest thousandth)
(100 points) Match each ordered pair on the left with the functions on the right
Answer:
(6, 1) ⇒ y = 2/4x - 2
(-8, -0.8) ⇒ y = 3/5x + 4
(9, 0.7) ⇒ y = 3/10x - 2
(2, 7.4) ⇒ y = 1/5x + 7
Step-by-step explanation:
Let's substitute each pair in the equations to find the right one :
(6, 1)
⇒ 1 = 2/4 (6) - 2
⇒ 1 = 3 - 2
⇒ 1 = 1
⇒ Equation matched √
(6, 1) ⇒ y = 2/4x - 2
(-8, -0.8)
⇒ -0.8 = 1/5 (-8) + 7
⇒ -0.8 = -8/5 + 7
⇒ -0.8 = -1.6 + 7
⇒ -0.8 = 5.4
⇒ Incorrect equation ×
⇒ -0.8 = 3/5 (-8) + 4
⇒ -0.8 = -24/5 + 4
⇒ -0.8 = -4.8 + 4
⇒ -0.8 = -0.8
⇒ Equation matched √
⇒ (-8, -0.8) ⇒ y = 3/5x + 4
(9, 0.7)
⇒ 0.7 = 3/10 (9) - 2
⇒ 0.7 = 27/10 - 2
⇒ 0.7 = 2.7 - 2
⇒ 0.7 = 0.7
⇒ Equation matched √
⇒ (9, 0.7) ⇒ y = 3/10x - 2
(2, 7.4)
⇒ 7.4 = 1/5 (2) + 7
⇒ 7.4 = 2/5 + 7
⇒ 7.4 = 0.4 + 7
⇒ 7.4 = 7.4
⇒ Equation matched √
⇒ (2, 7.4) ⇒ y = 1/5x + 7
i need help with geometry please!
question is in the image above~
the answer is either;
a) 25
b)20
c)18
d)15
Answer:
The answer is 15
Step-by-step explanation:
You just have to multiply angle BC times angle AC to have the answer because angle AB is verticle to angle BD.
Write 84 as a product of primes.
Use index notation when giving your answer
SOLUTION
TO DETERMINE
84 as a product of primes.
Use index notation to write the number
EVALUATION
Here the given number is 84
We prime factorise the given number
84 = 2 × 2 × 3 × 7
Number of 2's = 2
Number of 3's = 1
Number of 7's = 1
Rewriting the given number in index form we get
━━━━━━━━━━━━━━━━
Learn more from Brainly :-
The difference between face value and place value of 5 in 2,10,519
brainly.in/question/22495648
2. if one bee drinks 1ml honey then how much honey 1000 bees will drink??
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. 4m,13m,4m
Answer:
B
Step-by-step explanation:
I need help with this question thanks!
Answer:
0.9 kg of chocolate and 2.1 kg of peanut butter
Step-by-step explanation:
Since we know Ms. G is making 3 kg of peanut butter cups we can remove one of the variables. I will say that p = (3 - c) since anything in the 3 kg that isn't chocolate is peanut butter.
We can now find the total cost of the peanut butter cups.
3kg * $9.55/kg = $28.65
We can now set up an equation to find how much chocolate was bought.
8.50(3 - c) + 12(c) = 28.65 | distributive property
25.5 - 8.5c + 12c = 28.65 | subtract 25.5 from both sides
3.5c = 3.15 | divide both sides by 3.5
c = 0.9
This means 0.9 kg of chocolate was bought. Now we can solve for the amount of peanut butter purchased.
p = (3 - c)
p = (3 - 0.9)
p = 2.1
This means 2.1 kg of peanut butter was bought.
That is the answer
- Kan Academy Advance
What is the volume? thank you
please hurry will mark brainlest worth 100 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
44602.24 yd³
Explanation:
The given shape above is a sphere.
[tex]\boxed{\sf Volume \ of \ sphere = \dfrac{4}{3} \pi r^3}[/tex]
Here given:
1) radius = 22 yards
Solve for Volume:
[tex]\implies \sf \dfrac{4}{3} \pi (22)^3 \ \ = \ \ 44602.2381 \ yd^3 \ \ = \ \ 44602.24 \ yd^3 \ \ (rounded \ to \ nearest \ hundreth)[/tex]
Evaluate v(x)=12−2x−5 when x=−2,0, and 5.
Answer:
Step-by-step explanation:
v(x)=12-2x-5
v(-2)=12-2(-2)-5
=11
v(0)=12-2(0)-5
=7
v(5)=12-2(5)-5
=-3
The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1.5 litres of water into the container. Will the water come over the top of the container? Explain your answer and show all your working.
Answer:
Cylinder[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
r = 6 cmh = 18 cm[tex]\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}[/tex]
Cube[tex]\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}[/tex]
Given:
x = 8 cm[tex]\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}[/tex]
Volume available to be filled with waterVolume of cylinder - volume of cube
= 684π - 512
= 1532.75204 cm³
1 litre = 1000 cm³
⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³
As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder. Therefore, the water will not come over the top of the container.
Solve the equation X = 64 for x.
ОА. -32, 32
O B. -8, 8
OC. 8
OD 32
please help
Answer:
B
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
find the unit rate. jessica bakes 112 muffins in 7 batches. how many muffins does each batch contain
Answer:
16 muffins in each batch
Step-by-step explanation:
112/7=16
ECA is a semi equilateral triangle at C,
where EÂC= 30°
B is point on [AC] such that BC = 2cm
and BE = 3cm.
Calculate AE.
Answer: its 50
Step-by-step explanation:
NEED HELP ASAP
Consider any conic section and discuss an application of the conic that you find most interesting. Include an example of a mathematical equation that models the application. Also, describe why you think this application is relevant and beneficial to society. (Note: To share your equation in the discussion forum, you might need to write your equation as if you were entering it into a graphing calculator.)
Conic sections are shapes that are formed when the surface of a cone intersects with a plane shape
Types of conic sectionThe types include
HyperbolaParabolaEllipseApplication of conic section (Parabola)The parabola can be applied in solving quadratic equations, functions and graph.
The general equation of a parabola is: y = a(x - h)² +k
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5. Find (f◦g)(x) and (g◦f)(x) and the domain of each.
f(x)=x2−3, g(x)=2x−
Answers:
[tex](f \circ g)\;(x) = 4x^2 - 12x + 6\\\\(g \circ f)\;(x) = 2x^2-9\\\\[/tex]
The domain for both is "all real numbers".
============================================================
Explanation:
The work is shown below in the attached image.
The domain for each composite function is the set of all real numbers because we don't have to worry about things like dividing by zero, or taking the square root of a negative number. Any x value is allowed.
Does anyone knows the answers to these
BRAINLIEST!!
PLS HELP
Answer:
H and M
or
K and F
Step-by-step explanation:
Complementary angles = 90 degrees
Corners of a rectangle are 90 degrees
Pick the two angles that make up the 90 degree angle
Tom has 20 girls in his seventh-grade class. The ratio of girls to boys is 5:4. How many boys does he have in his seventh-grade class?
Answer:
16 boys
Step-by-step explanation:
in ratio form girls are represented by 5 so if 5 equals to 20 what about 4 and that's how I got the answer good day.
Write a recursive formula for the explicit formula.
A(n)=5+(n− 1)(-4)
Answer:
[tex]\large\begin{cases}a_1=5 \\a_n=a_{(n-1)}-4\end{cases}[/tex]
Step-by-step explanation:
Recursive formula allows us to find the value of a specific term based on the previous term.
Explicit formula allows us to find the value of a specific term based on its position.
Given explicit formula: [tex]a(n)=5+(n-1)(-4)[/tex]
[tex]\implies a(1)=5+(1-1)(-4)=5[/tex]
[tex]\implies a(2)=5+(2-1)(-4)=1[/tex]
[tex]\implies a(3)=5+(3-1)(-4)=-3[/tex]
[tex]\implies a(4)=5+(4-1)(-4)=-7[/tex]
From inspection of the sequence, we can see that to get the next term, we need to subtract 4 from the previous term.
[tex]5 \underset{-4}{\longrightarrow} 1 \underset{-4}{\longrightarrow} -3 \underset{-4}{\longrightarrow} -7[/tex]
Therefore, the recursive formula is:
[tex]a_n=a_{(n-1)}-4[/tex]
For a recursive formula, we also need to give the value for [tex]a_1[/tex] .
Therefore, the final recursive formula for the explicit formula is:
[tex]\large\begin{cases}a_1=5 \\a_n=a_{(n-1)}-4\end{cases}[/tex]
The stem-and-leaf plot shows test scores for students in Math 7. How many students earned more than a 65 on their test? Key 4|5 = 45 A) 58 students B) 28 students C) 60 students D) 65 students
the answer is b
Step-by-step explanation:
hope this helps if not let me know have a blessed day
The first TV Chrystal had was 7 inches by 9 inches. She now has a TV that is 56 inches by 72 inches. What is the scale factor?
Answer:
8
Step-by-step explanation
to find the scale factor you find out by how many times the numbers have gone bigger or smaller
7inches by 9inches
56inches by 72inches
7×8= 56
9×8=72
7 and 9 have changed 8 times more so the scale factor is 8
please answer!!!! will mark brainliest!!!
Answer:
6.42 %
Step-by-step explanation:
Formula FV = PV ( 1 + i)^n i = periodic interest in decimal
FV = future value PV = present value
n = periods ( years in this case)
3412.23 = 2500 ( 1 + i)^5
3412.23/2500 = (1+i)^5
1.364892 = (1+i)^5
1.0641 = 1+ i
i = .0642 or 6.42 %
Please Help Giving Brainlist Find the area of the figure.
Answer:
108 m²
Step-by-step explanation:
Area of the figure :
3 x 6 + (3 + 3) x 6 + (3 + 3 + 3) x 66 (3 + 6 + 9)6 (18)108 m²The right rectangular prisms are similar. which statements are correct? check all that apply. the angles in the smaller prism measure 90 degrees. the perimeter of the rectangular bases changes by a factor of 2. the surface area changes by a factor of 8. the larger prism has twice the volume of the smaller prism. the area of the rectangular bases changes by a factor of 4.
The true statement about the right rectangular prisms include:
The angles in the smaller prism measure 90 degrees.The perimeter of the rectangular bases changes by a factor of 2.The rectangular bases changes by a factor of 4.How to illustrate the prism?It should be noted that a prism simply means a shape that has two identical shapes that face each other.
Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.
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Including reaction time, the stopping distance is more than 20 feet at 10 miles per hour, at 20 miles per hour it will be about:
Including reaction time, the stopping distance is more than 20 feet at 10 miles per hour, at 20 miles per hour it will be about 63 feet.
What is stopping distance?The distance traveled while the driver sees a hazard and applies the brakes, as well as when the vehicle comes to a complete stop from its original speed, is included in the stopping distance.
We have:
Including reaction time, the stopping distance is more than 20 feet at 10 miles per hour
In this case, the stopping distance will be about 63 feet if the stopping distance is more than 20 feet at 10 miles per hour.
Thus, the including reaction time, the stopping distance is more than 20 feet at 10 miles per hour, at 20 miles per hour it will be about 63 feet.
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Which expression is equivalent to 52.2
O
(2.50) + 2
(2 • 26) + 2
O
(z.50) + (z. 2)
O (z • 2) + 26
Answer:
Anwer is (z.50)+(z.2) since expanding it is z.52
4-2×=×+8 what is the result
Answer:
x = -4/3
Step-by-step explanation:
4 - 2x = x + 8
4 - 3x = 8
-3x = 4
x = -4/3
6x + 12 = 3+3x
I'll give 25 points...
Step-by-step explanation:
Question:-6x + 12 = 3+3x
Answer:- 6x + 12 - 3 - 3x=0
6x-3x+12-3=0
3x+9=0
3x=-9
x=-9/3
x=-3
Hope this helps you
Have a nice day
Answer:
x = -3
Step-by-step explanation:
6x + 12 = 3+3x
6x + (12-12) = (3-12)+3x
(6x-3x) = (3x-3x)-9
3x/3 = -9/3
X=-3