simplify the rational expression: x+3/30x^3-12x^2 - x-1/30x^3-12x^2
Answer:
1/15x^2(x-360)
Step-by-step explanation:
Jeremy can row 1 3 of a mile in 1 4 of an hour. What is the unit rate?
Answer:
The unit rate that Jeremy can row is 1.33 miles per hour.
Step-by-step explanation:
Unit rate is defined as the distance over a time period. The distance that Jeremy can row is given and the time period is given.
The distance (miles)=1/3=0.3333333...
time period: 1/4
0.33333/0.25=1.333333
Latasha bought a concert ticket. She does not remember the price of the ticket, but she remembers that she had to pay $1 in tax. Sales tax where Latasha lives is 8%. She drew a percent bar to find the original price.
Answer:
Original price of ticket = $12.5
Step-by-step explanation:
Given:
8% amount = $1
Find:
Original price of ticket
Computation:
Original price of ticket = 1(100/8)
Original price of ticket = $12.5
Solve for the value of n.
Answer:
n= 27
Step-by-step explanation:
n+6+2n+3=90
3n=81
n=27
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
a) x(x-2)
b) 6x(2x+2)
dont know c and d sorry
Step-by-step explanation:
discounts mark up and mark downs! Due IN 10 mins!! PLZ HELP
2. $199 ring; 10% discount
Answer:
19.9 is the answer
Step-by-step explanation:
10 percent of 199 is 19.9
Factor the following expression x^2+5x+6
Answer:
(x + 2) (x + 3)
Step-by-step explanation:
x² + 5x + 6
x² + 3x + 2x +6
if Efx=300+30p and N=10+p, find the valu of mean
mean=30
Step-by-step explanation:
mean=Efx/n
=300+p/10+p
= 30(10+p)/10+p
=30
Question 10 of 10
If f(x) = 4x - 12, what is f(2)?
O A. 4
B. -20
C.-4
O O O
D. 8
Answer:
Step-by-step explanation:
f(x) = 4x - 12
f(2) = 4*2 - 12
f(2) = 8 - 12
f(2) = - 4
Carey needs $60 to buy her mother’s a gift. She saved 25% of that amount so far. How much has she saved so far?
Answer:
$15Step-by-step explanation:
25% of $60 is:
25*60/100 = 15She saved $15 so far
If TUV is translated to image T'U'V , as shown below , by the rule (x,y) -> (x+8, y-3) what are the coordinates or TUV ?
Answer:
D) is the answer
Step-by-step explanation:
ohh ok i understand TUV is (x,y)
so (x+8,y-3) is the T'U'V
so subtract 8 and add 3 to this translation
(x-8,y+3)
looking at U
t goes to (10,-5)
and that is the only one so the answer is D
The coordinates or TUV are (-6,-3),(-1,6),(0,-2), the correct option is C.
How does dilation affect length, area, and volume of an object?(SCALING ZOOMING SIMILAR FIGURES)
Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.
So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:
L = k × M
where 'k' will be called as scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.
So area of first figure = k² × area of second figure
Similarly,
Volume of first figure = k³ × volume of second figure.
It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
Given;
TUV is translated to image T'U'V , as shown below , by the rule (x,y) -> (x+8, y-3)
Coordinates of T'U'V; (2,-6),(7,3),(8,-5)
Now, coordinates of TUV;
T coordinate=(-6,-3)
U coordinate=(-1,6)
V coordinate=(0,-2)
Therefore, coordinates before dilation will be (-6,-3),(-1,6),(0,-2)
Learn more about dilation here:
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Find the value of each variable
Answer:
x = 16[tex]\sqrt{3}[/tex]
y = 8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
For this type of equation, you are going to use the following trigonometric signs tangent and cosine. Tangent is used for the y-variable and cosine is used for the x-variable. For the y-variable, it is 24 tan 30 to get 8 root 3 as your answer. For the x-variable, you would get ([tex]\sqrt{3}[/tex] / 2)x = 24. Divide that root number to get 16[tex]\sqrt{3}[/tex] as your x variable.
Answer: 16 sqrt 3. 8 sqrt 3
Step-by-step explanation:
At each football game, the team drinks at most 4 coolers of water. Write an inequality
that represents this situation. Let c represent the number of coolers of water.
Answer:
Step-by-step explanation:
C [tex]\leq[/tex] 4
When 2(3/5x + 2 3/4y - 1/4x - 1 1/2y + 3) is simplified, what is the resulting expression?
Answer:
the answer is 1 7/10+ 2 1/2y +6
Step-by-step explanation:
A bottle is 2 litre mennu drank 1/8.How many did neenu drink
Answer:
Volume drank by Mennu = 250 ml
Step-by-step explanation:
Given:
Volume of bottle = 2 liter = 2000 ml
Mennu drank = 1/8 of bottle
Find:
Volume drank by Mennu
Computation:
Volume drank by Mennu = Volume of bottle x Mennu drank
Volume drank by Mennu = 2,000 x 1/8
Volume drank by Mennu = 250 ml
identify the slope in y=-x
Answer:
m = -1
Step-by-step explanation:
y = -x can also be written as
y = -1x + 0
The slope is -1.
In slope intercept equations, if the slope is '1' or '-1' they would usually drop the one.
Hope this helps.
Answer:
the slope of the line y = -x will be: m = -1
The line graph is also attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slope and b is the y-interceptGiven the line
[tex]y = -x[/tex]
comparing with the slope-intercept form of the line equation
The slope = m = -1The y-intercept = b = 0Therefore, the slope of the line y = -x will be: m = -1
The line graph is also attached below.
Which of the following are solutions to the equation below?
Check all that apply.
x2 - 8x + 16 = 5
Answer:
the equation requires you to collect like terms that bringing 5 to the next side which let it -5
And then use Quadratic equation in solving
Formula: -b +or - square root b2 -4ac
everything divide by 2a
Answer:
\/5+4 and -\/5+4
Step-by-step explanation:
\/ is square root
please help me solve this f - 4 = -11
Final Answer: [tex]f = -7[/tex]
Steps/Reasons/Explanation:
Question: Solve [tex]f - 4 = -11[/tex].
Step 1: Add 4 to both sides.
[tex]f =-11 + 4[/tex]
Step 2: Simplify [tex]-11 + 4[/tex] to [tex]-7[/tex].
[tex]f = -7[/tex]
~I hope I helped you :)~
1) Graph by making a
table.
y=1/2x+2
Answer:
Below.
Step-by-step explanation:
You can use any 4 x values, so we could have:
- 2 0 2 4
Now find the corresponding y values by substitution in the equation:
For x = -2, y = 1/2 *-2 + 2 = 1.
For x = 0, y = 1/2 * 0 + 2 = 2.
For x = 2 , y = 1/2* 2 + 2 = 3.
For x = 4 , y = 1/2 * 4 + 2 = 4.
So the table is:
-2 0 2 4
1 2 3 4
You then plot the points (-2, 1), (0, 2), (2, 3) AND (4, 4) on the grid and draw a line through them The graph will be a straight line.
Suppose that during the 1990s, the population of a certain country was increasing by 1.7% each year. If the population at the end of 1993 was 5.4 million, what was the population at the end of 1994?
a.
91,800 people
c.
5,400,000 people
b.
5,612,879 people
d.
5,491,800 people
Answer:
If the population increases by 1.7% every year then
1994 population = 1993 population * .017 + 1993 population
1994 population = 5,491,800
Answer is "d".
Step-by-step explanation:
A formal, logical explanation of some events that includes descriptions of how things relate to one another is called a(n):
Answer:
Theory
Step-by-step explanation:
The theory refers to an explanation of something. It should be understandable also it contains some logic behind that
It is a formal, logical for events that involved the descriptions that related the things to one another
Therefore the above represent the theory
Hence, the same is to be considered
Need help? Step by step solving?
Step-by-step explanation:
=4+5-6
=9-6
=3d^2
plzzzz mark me brainliest if it helps you then
Mark glues together four pieces of wood to make one long strip. The pieces measure 16.75 inches, 9 inches, 24.25 inches, and 12.5 inches. How long is the strip of wood?
Given that,
Length of 4 pieces of wood are 16.75 inches, 9 inches, 24.25 inches, and 12.5 inches.
To find,
The length of the strip of wood.
Solution,
Mark glues together four pieces of wood to make one long strip.
Long strip = The sum of 16.75 inches, 9 inches, 24.25 inches, and 12.5 inches.
L = 16.75 + 9 + 24.25 + 12.5
= 62.5 inches
Hence, the strip of wood is 62.5 inches long.
Evaluate 1.1.075 + 21.67
3.15
Answer:
√ 96
log
(100 )
3 ^5 / 3
Step-by-step explanation:
If you help me I’ll give brainliest
Answer:
20 calls
Step-by-step explanation:
20 calls were made before 6 pm
Maurice takes a roast out of the oven when the internal temperature of the roast is 165F after ten minutes , the temperature roast drops to 145
The above question is incomplete
Complete Question
Maurice takes a roast out of the oven when the internal temperature of the roast is 165°F. After 10 minutes, the temperature of the roast drops to 145°F.
The temperature of the room is 72°F.
How long does it take for the temperature of the roast to drop to 120°F?
Answer:
27.3143 minutes
Step-by-step explanation:
Using the Newton's law of cooling: The formula is given as:
T (t) = T₀ + T₁ e^ (rt)
Where
T₀ = Original temperature of the room (°F) ; 72°F
T₁ = Temperature of the roast (°F)
This is calculated as:
165 - 72 =93°F
r = Rate of cooling (°F/min)
t = time (min)
Substituting the values, we can obtain:
T (t) = 72 + 93 e ^rt
Step 1
We solve for r
From the question, we know that: the temperature dropped to 145°F after 10 minutes,
t =10 mins and T(10) = 145 °F
Substituting
T(10) = 72 +93 e^10r
145 = 72 + 93 e^10r
145 - 72 = 93 e^10r
Divide both sides by 93
(145-72)/93 = e^(10r)
We take the natural logarithm of both the left and right hand sides
In [(145-72)/93 ] = In (e^10r)
In [(145-72)/93 ] = 10r
-0.24214 =10r
r = -0.24214/10
r = -0.02421 °F/min
Substituting into
-0.02421 °F/min for r in the Equation below
T (t) = 72 + 93 e ^rt
T (t) = 72 + 93 e^ (-0.024214t)
To find the time taken to reach 120°F, we substitute into equation
120 = 72 +93 e^(-0.024214 ×t)
(120-72)= 93 e^ (-0.024214t)
Divide bother sides by 93
[(120-72)/93] = e^-0.024214t
We take the natural logarithm of both sides
In[(120-72)/93] = In(e^-0.024214t)
-0.66139 = -0.024214t
Divide both sides by -0.024214t
t = -0.66139/ -0.024214
t =27.3143 minutes
if f(x)=√2x+3/6x-5, then f(-1/2)=
answere=-1
this is the answere and the explanation.
By substituting x = -1/2, the expression [tex]\(f(x) = \frac{\sqrt{2x} + 3}{6x - 5}\)[/tex] can be simplified to[tex]f(x) = \(f(-\frac{1}{2}) = \frac{\sqrt{3 - \sqrt{2}}}{-8}\).[/tex].
To find [tex]\(f(-\frac{1}{2})\)[/tex], substitute [tex]\(-\frac{1}{2}\)[/tex] into the function f(x):
[tex]\(f(-\frac{1}{2}) = \frac{\sqrt{2 \cdot (-\frac{1}{2}) + 3}}{6 \cdot (-\frac{1}{2}) - 5}\)[/tex]
Now, simplify the expression inside the square root:
[tex]\(f(-\frac{1}{2}) = \frac{\sqrt{-\sqrt{2} + 3}}{-3 - 5}\)\\\(f(-\frac{1}{2}) = \frac{\sqrt{3 - \sqrt{2}}}{-8}\)[/tex]
So, [tex]\(f(-\frac{1}{2}) = \frac{\sqrt{3 - \sqrt{2}}}{-8}\)[/tex].
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Write the word sentence as an inequality. Then solve the inequality.
The quotient of a number x and 4 is at most 5.
An inequality is
.
The solution of this inequality is
.
Answer:
Inequality: x ÷ 4 ≤ 5
Solution: x ≤ 20
Step-by-step explanation:
quotient = division
at most = either ≥ or ≤
x ÷ 4 ≤ 5
x ÷ 4 x 4 ≤ 5 x 4
x ≤ 20
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In a class of 25 students, 15 of them have a cat , 16 of them have a dog and 3 of them have neither. Find the probability that a student chosen at random has a cat and a dog. Find the probability that a student chosen at random has a cat and a dog.
Answer:
Solution in photo
Step-by-step explanation:
Which events are independent?
Select each correct answer.
One coin is drawn from a bag of coins after another coin is drawn without replacement.
Two white balls are drawn from a bag of balls without replacing the balls.
Two spinners are spun at the same time.
A six-sided number cube is rolled and a coin is flipped.
Answer:
A six sided number cube is rolled and a coin is flipped
Step-by-step explanation:
These are two different objects that have 0 correlation with eachother