Answer:
u = 5
Step-by-step explanation:
→Distribute the 3 to (-3u - 5):
4u = 16u - 9u - 15
→Add like terms:
4u = 7u - 15
→Subtract 4u from both sides:
0 = 3u - 15
→Add 15 to both sides:
15 = 3u
→Divide both sides by 3:
5 = u
Answer:
[tex] \boxed{u = 5} [/tex]
Step-by-step explanation:
[tex] = > 4u = 16u + 3( - 3u - 5) \\ \\ = > 4u = 16u + (3 \times ( - 3u)) - (3 \times 5) \\ \\ = > 4u = 16u - 9u - 15 \\ \\ = > 4u = 7u - 15 \\ \\ = > 4u - 7u = - 15 \\ \\ = > \cancel{- }3u = \cancel{- }15 \\ \\ = > 3u = 15 \\ \\ = > u = \frac{15}{3} \\ \\ = > u = 5[/tex]
a ball with a mass of 6 kg moves at 3 m/s.what is its kinetic energy
Answer:
27
Step-by-step explanation:
Kinetic energy = [tex]\frac{1}{2} m*v^2[/tex]
m = 6
v = 3
3 * 9 = 27
KE = 0.5 m.v^2
= 0.5*6*3^2
=27J
Suppose you just purchased a digital music player and have put 8 tracks on it. After listening to them you decide that you like 4 of the songs. With the random feature on your player, each of the 8 songs is played once in random order. Find the probability that among the first two songs played (a) You like both of them. Would this be unusual? (b) You like neither of them. (c) You like exactly one of them. (d) Redo (a)-(c) if a song can be replayed before all 8 songs are played.
Answer:
a) 21.43% (It is unusual to happen)
b) 21.43%
c) 57.14%
d) Probability of you liking both songs played = 25%
Probability of liking exactly one song = 50%
Step-by-step explanation:
a)
If you like 4 of the 8 songs, the probability of liking the first song is 4/8
Then, for the second song, we have 3 songs you like among 7 songs that can be played, so the probability is 3/7.
So the probability of you liking both songs played is:
P = (4/8) * (3/7) = 0.2143 = 21.43% (It is unusual to happen)
b)
If you like 4 of the 8 songs, you dislike 4 as well, so the probability of not liking the first song is 4/8.
Then, for the second song, we have 3 songs you dislike among 7 songs that can be played, so the probability is 3/7.
So the probability of you disliking both songs played is:
P = (4/8) * (3/7) = 0.2143 = 21.43%
c)
In this case you can like either the first or the second song, so we need to sum the probabilities of both cases:
Probability of liking the first song and disliking the second:
P1 = (4/8) * (4/7) = 0.2857
Probability of disliking the first song and liking the second:
P2 = (4/8) * (4/7) = 0.2857
P = P1 + P2 = 0.5714 = 57.14%
d)
If a song can be replayed, we have:
Probability of you liking both songs played:
P = (4/8) * (4/8) = 0.25 = 25%
Probability of liking the first song and disliking the second:
P1 = (4/8) * (4/8) = 0.25
Probability of disliking the first song and liking the second:
P2 = (4/8) * (4/8) = 0.25
P = P1 + P2 = 0.5 = 50%
the ratio of hopeless romantics to hard-headed skeptics was 459 to 2. if there were 7,803 hopeless romantics, how many hard-headed skeptics were there?
Answer:
333
Step-by-step explanation:
Answer:
34 hard-headed skeptics
Step-by-step explanation:
Write and solve an equation of ratios:
459 2
--------- = ----
7803 x
Cross-multipying, we get:
459x = 15606, which yields x = 15606/459 = 34
There were 34 hard-headed skeptics.
What is the surface area of a sphere with a radius of 9 units?
A. 57677 units2
B. 6487 units2
O C. 28871 units2
D. 32477 units2
The surface area of a sphere can be determined from the radius by the equation of 4πr². Hence, the surface area of the sphere of 9 units is approximately 1017.36 square meters.
What is surface area of a sphere ?Surface area is the total area that covers the surface of a 3-dimensional object. It is a measure of how much area needs to be covered to completely wrap around the exterior of the object.
In other words, it is the sum of the areas of all the faces or surfaces that make up the object. The unit of measurement for surface area is typically square units, such as square centimeters, square meters, or square feet.
The formula for the surface area of a sphere is:
A = 4πr^2
Where A is the surface area and r is the radius of the sphere.
Substituting r = 9 units, we get:
A = 4π9²
A = 4π(81)
A = 324π
Therefore, the surface area of a sphere with a radius of 9 units is approximately 324π square units, or approximately 1017.36 square units if you round to two decimal places.
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According to the Ruler Postulate, what does
the set of points on any line correspond to?
Answer:
The answer is Real numbers
9=4t t=?
Please answer as soon as possible
Answer:
9/4 or 2 1/4
Step-by-step explanation:
9=4t
Divide each side by 4
9/4=4t/4
9/4 = t
Or as a mixed number
2 1/4 = t
Answer: 9/4
Step-by-step explanation:
Expand and simplify (2x+2)(2x+1)
Answer: 4x+3
Step-by-step explanation: 2x+2x=4x
2x1=3
The simplified form of the equation is 4x² + 6x + 2.
What is simplification?Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.
Given the equation (2x + 2)(2x + 1)
using property, (a + b)(c + d) = a(c + d) + b(c + d)
(2x + 2)(2x + 1) = 2x(2x +1) + 2(2x + 1)
2x + 2)(2x + 1) = 2x(2x) + 2x(1) + 2(2x) + 2*1
2x + 2)(2x + 1) = 4x² + 2x + 4x + 2
2x + 2)(2x + 1) = 4x² + 6x + 2
Hence the Expand form of the equation is 4x² + 6x + 2.
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IM BEGGING SOMEONE TO HELP ME FILL IN THE BOXES :( ?
Answer:
1. x =-2, y=6
2. x = 0, y = 0
3. x=2, y=10
Step-by-step explanation:
It will take a long time to explain. If you need explanation, tell me.
Simplify (−4k4+14+3k2)+(−3k4−14k2−8). Write answer in standard form.
Answer:
−7k^4−11k^2+6
Step-by-step explanation:
−4k^4+14+3k^2−3k^4−14k^2−8
(−4k^4+−3k^4)+(3k^2+−14k^2)+(14+−8)
−7k^4−11k^2+6
...
What is the value of y?
Answer:
60
Step-by-step explanation:
60+60+y=180 (angle sum property )
120+y=180
y=180-120
y=60
If tan a = 9／40
use trigonometric identities to find the values of sin a and cos a.
Answer:
see explanation
Step-by-step explanation:
Given
tan a = [tex]\frac{9}{40}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]
We require the hypotenuse h
Using Pythagoras' identity
h² = 9² + 40² = 81 + 1600 = 1681 ( take square root of both sides )
h = [tex]\sqrt{1681}[/tex] = 41 , thus
sin a = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{41}[/tex]
cos a = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{40}{41}[/tex]
2x-8=4(x+1). Solve for X please!
Answer:
-6 = x
Step-by-step explanation:
2x-8=4(x+1)
Distribute
2x -8 = 4x+4
Subtract 2x
2x-8-2x = 4x-2x+4
-8 = 2x+4
Subtract 4
-8-4 = 2x+4-4
-12 = 2x
Divide by 2
-12/2 = 2x/2
-6 = x
Answer:
[tex]x = - 6[/tex]
Step-by-step explanation:
[tex]2x - 8 = 4(x + 1) \\ 2x - 8 = 4x + 4 \\ 2x - 4x = 8 + 4 \\ - 2x = 12 \\ \frac{ - 2x}{ - 2} = \frac{12}{ - 2} \\ x = - 6[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the distance between points A and B?
А
B
-8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
0-6 units
- 1 units
5 units
6 units
In which career would you most likely apply
concepts from geometry?
Answer: Construction and Engineering
2+(x+y)=(2+x)+y is an example of what algebraic property
Answer:
communicative property
Step-by-step explanation:
If b=13 and A=76 degrees, then find a.
Answer:
Option (D).
Step-by-step explanation:
In the figure attached,
Triangle ACB is a right triangle having,
Leg AC = b = 13
Leg BC = a
Angle A = 76°
and, Hypotenuse AB = c
By applying tan rule in the given triangle,
tanA = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(76)° = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{a}{b}[/tex]
4.01 = [tex]\frac{a}{13}[/tex]
a = 13 × 4.01
a = 52.13
a ≈ 52.1
Therefore, Option (D). will be the answer.
Answer:
52.1
Step-by-step explanation:
Answer this, pic below
Answer:
Option A
Step-by-step explanation:
Temperature on y axis, it changes as time changes
I need help please! If you know the answer can you explain?
Answer:
C.
Step-by-step explanation:
Take the equation for finding the volume of a sphere and plug in your radius
4π[tex]\frac{r^3}{3}[/tex] = V
your equation would plug in 7 for the r. Then simplify the rest of the equation.
Answer:
c
Step-by-step explanation:
I'm not sure but i hope this helps
please help i need this asap
Answer:
They are the same
Step-by-step explanation:
Both have a 2 1/2 height so we wont consider that in our answer. What we have left is the width and length.
Box A = 2 × 1/2 = 1
Box B = 1 × 1 = 1
What is the most impportant part of ratios
Answer:
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).
Step-by-step explanation:
Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.
Answer:
what are the excersises
Step-by-step explanation:
Answer:
f(−1) = ✔ 2 f(1) = ✔ 6f (2) = ✔ 11
Step-by-step explanation:
I need help ASAP I only have 30 more mins!!
Answer:
x = 2
Step-by-step explanation:
if the line passes through the x axis it means we should use the of x
if it passes through y we should use value of y
in this question perpendicular means at a 90 degree angle
the coordinates is 2,6
so x must be 2
Graph the linear equations. Find three points that solve the equation -3x + 2y= 2
Answer:
(0,1) , (2,4) , (4,7)
Explanation:
convert the equation into slope-intercept form (this would be y=3/2x+1)
now plug in random numbers for x and solve for y by multiplying them by 3/2 and adding 1.
solve this quadratic equation by completing the square. x^2+4x=15
ANSWER QUICKLY PLS, FIRST GOOD ANSWER GETS BRAINLIEST
(if your answer is incorrect im gonna delete it)
thx
Answer:
x = -2 ±sqrt( 19)
Step-by-step explanation:
x^2 + 4x = 15
Take the coefficient of x
4
Divide by 2
4/2 =2
Square it
2^2 = 4
Add it to each side
x^2 + 4x+4 = 15+4
(x+2)^2 = 19
Take the square root of each side
sqrt( (x+2)^2) =±sqrt( 19)
x+2 = ±sqrt( 19)
Subtract 2 from each side
x+2-2 = -2 ±sqrt( 19)
x = -2 ±sqrt( 19)
Wich of the following is the definition of the domain of relation
Answer:
The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
Subtract 3x^2+7x-43x
2
+7x−43, x, squared, plus, 7, x, minus, 4 from 8x^2-6x+28x
2
−6x+28, x, squared, minus, 6, x, plus, 2.
Answer:
5x² - 13x + 71
Step-by-step explanation:
We are to subtract 3x²+7x-43 from 8x²-6x+28
That is:
8x² - 6x + 28 - (3x² + 7x - 43)
8x² - 6x + 28 - 3x² - 7x + 43
Collect like terms:
8x² - 3x² - 6x - 7x + 28 + 43
5x² - 13x + 71
Answer:
the answer 5x² - 13x + 6
Step-by-step explanation:
if x=3+2v2, find the value of x2 + 1/x2
Answer:
ES IGUAL A 1.03
Step-by-step explanation:
A building contractor estimates that her profit in dollars for a tall building will be given by the function:
P (h) = -4h2 + 160h,
where h represents the numer of floors in the buliding.
What height will give the maximum profit? What is the maximum profit?
Question to answer: What is the maximum profit?
profit is———
dollars
Answer:
The height is 20
The max profit is 1600
Step-by-step explanation:
P (h) = -4h^2 + 160h
The vertex is at
-b/2a = -160/2(-4) = 160/8 = 20
The height that will give the maximum profit is 20
We want to find the value at 20
P(40) =-4(20)^2 +160(20)
=-1600+3200
1600
Which of the statements about the diagram is INCORRECT?
A) ∠ 1 ≅ ∠2
B) BE ≅ ED
C) BE ≅ CE
D) CE ≅ EA
Answer:
C) BE ≅ CE
Step-by-step explanation:
[tex]\triangle BEA \cong \triangle DEC\\BE \ncong CE\\[/tex]
Because BE and CE are not corresponding sides.
The corresponding sides and angles of a congruent triangle are congruent.
(c) [tex]\mathbf{\angle BE \cong CE}[/tex] is incorrect
From the question, triangles BEA and CED are congruent.
This means that, the following statements are true
[tex]\mathbf{BE \cong ED}[/tex].[tex]\mathbf{CE \cong EA}[/tex].[tex]\mathbf{\angle 1 \cong \angle 2}[/tex].The above statements represent options (a), (b) and (d).
This means that:
[tex]\mathbf{\angle BE \cong CE}[/tex] is incorrect
This is so because, BE and CE are not corresponding sides.
Hence, (c) [tex]\mathbf{\angle BE \cong CE}[/tex] is incorrect
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Rewrite 2/5 book 1/2 hour as a unit rate
Answer:
4/5 book per hour
Step-by-step explanation:
In this question, we are to rewrite (2/5)/(1/2) as unit rate.
To write this as a unit rate, what we need to do
is to divide 2/5 by 1/2.
That means 2/5 divided by 1/2
Removing the division and replacing with multiplication will give 2/5 * 2/1 = 4/5 books/hour
Step-by-step explanation:
4/5 books/hour