Answer:
4/6
We know that, 4 can be written as:
4 = 2 × 2 and 6 = 2 × 3.
In both 2 is common so cancel it out we get, 2/3
Similarly,
10/12
10 = 2 × 5 and 12 = 2 × 2 × 3
2 common and cancel we get, 5/6
18/24
18 = 2 × 3 × 3
24 = 2 × 2 × 2 × 3
6 (2 × 3) is common. So, cancel we get, 3/4
estimation we are told 5 miles is 8 km.
ert 68 km to miles.
4.
Which expression is equivalent to x^4 – 2x^3 + x^2 ?
-
A. x²(x - 1)^2
B. x²(x + 1)^2?
C. (x + 9)(x - 9)
D. 2(x+ 3)(x - 3)
Answer:
Dont have an answer but maybe this will help
Step-by-step explanation:
Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
convert 0.2 m^ 3 , into c * m ^ 3
Step-by-step explanation:
[tex] {m}^{3} = {cm}^{3} = \div {10}^{6} [/tex]
0.2m^3 = 0.0000002 cm^3
A vessel is in the shape of a right circular cone. The
radius of the top is 8 cm and the height is 40 cm.
Water is poured into the vessel at a rate of 20 cm /s.
Calculate the rate at which the water level is rising
when
(i) the water level is 12 cm from the vertex,
(ii) the vessel is one-quarter full.
The conic water vessel of height 40 cm and radius 8 cm filled at 20 cm^3/s gives;
The rate at which the water level is rising when the water level is 12 cm from the vertex is approximately 1.1 cm/s.When the vessel is one-quarter filled the rate at which the water level is rising is approximately 0.21 cm/s.How can the water level rate be found?The volume of the vessel, v = π•r^2•h/3
[tex] \frac{h}{r} = \frac{40}{8} = 5[/tex]
h = 5•r
Therefore;
v = π•r^2•(h)/3 = π•(h/5)^2•h/3
v = π•h^3/75
By chain rule of differentiation, we have;
[tex] \frac{dv}{dh} = \frac{dv}{dt} \times \frac{dt}{dh} [/tex]
Which gives;
[tex]π• \frac{ {h}^{2} }{25} = 20 × \frac{dt}{dh} [/tex]
[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {h}^{2} }{25} } [/tex]
When the height is 12 cm from the vertex, we have;
[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {12}^{2} }{25} } = 1.1 [/tex]
The rate at which the water level is rising when the water level is 12 cm from the vertex is approximately 1.1 cm/s.When the vessel is one-quarter filled, we have;
v = π•h^3/75
π•(40)^3/(75×4) = π•h^3/75
10•(40)^2 = 16,000 = h^3
h = (16,000)^(1/3) = 25 (approx)
Which gives;
[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {25}^{2} }{25} } = 0.21 [/tex]
When the vessel is one-quarter filled the rate at which the water level is rising is approximately 0.21 cm/s.
Learn more about rate of change here:
https://brainly.com/question/20066447
A computer company wants to determine if there is difference in the proportions of defective computer chips in a day's production from two different production plants A and B. A quality control specialist takes a random sample of 100 chips from the day's production from plant A, and determines that there are 12 defective chips. The specialist
then takes a random sample of 100 chips from the day's production from plant B, and determines that there are 10 defective chips. Based on the 90% confidence interval, (0.05, 0.09), is there convincing evidence of a difference in the true proportions of defective chips from a day's production between the two plants?
O There is convincing evidence because the sample proportions of defective chips for the two plants are different
O There is not convincing evidence because the interval contains 0
O There is convincing evidence because the difference in the two sample proportions is 0.02. Since this is not 0, there is a difference in the true proportions of defective chips for the two plants.
O There is not convincing evidence because the interval contains both negative and positive values.
Answer:
B. There is not convincing evidence because the interval contains 0.
Step-by-step explanation:
What is the perimeter of the square?
96cm
Step-by-step explanation:
From the question,
Area of rectangle(A) =Area of square(A)
or,32*18=Area of square
or, 576= l^2
or√576=l
or, 24cm
Now, we know,
Perimeter of the square=4l
=4*24cm
=96cm
Write down an inequality to describe each of these solution sets.
Answer:
(a) x<=2
(b) x>-2
(c) x>=10
(d) x<-20
a dogs leash is tied to a pole while the owners go into a resturaunt to get the dog some water. if the leash is 7 ft long, and hte dog can walk 180 degrees in a semi circle, how many feet can he walk if he extends the leash as far as it can go.
Answer: 22 ft
Step-by-step explanation:
The path that the dog can walk if he maximally extends his leash is the path of a semi-circle, which has a radius of 7ft.
The distance along a full circle is given by the circumference of the circle, which is related to the radius. To find the length of the path that the dog walks, we evaluate half the circumference.
[tex]\begin{aligned}&D=\frac{C}{2} \\&D=\frac{2 \pi r}{2} \\&D=\pi r \\&D=7 \pi \\&D \approx 22\end{aligned}[/tex]
Therefore, the dog can walk about 22 ft if he extends the leash as far as it can go.
Determine the amount needed such that when it comes time for retirement, an individual can make monthly withdraws in the amount of $2,154 for 30 years from an account paying 5. 1% compounded monthly. Round your answer to the nearest cent. A. $396,721. 78 b. $398,407. 85 c. $775,440 d. $1,833,962. 40 Please select the best answer from the choices provided A B C D.
Answer:
b i took this exam 90% sure its B
Step-by-step explanation:
B
B
B
second 1
Apply the distributive property to factor out the greatest common factor.
4+10=
4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)
Raila has 7 different posters to be hung in her living room bedroom and kitchen.Asumming she has plans to place at least a poster in each of the 3 rooms how many choices does she have?
Answer:
She has about 2 choices
Step-by-step explanation:
7 ÷ 3 ≈ 2.3
≈ 2
Here's Francesca's description of the scatterplot:
There is a strong nonlinear association between group size and time. There don't seem to be any outliers.
What, if anything, is missing from this description?
Choose 1 answer:
A:Form
B: Direction
C: Strength
D: Outliers
E: Nothing is missing: this is a complete description.
Number 8 please thanks!
[tex]4b(b+2)=16+4b^2\\4b^2+8b=16+4b^2\\8b = 16 + 4b^2-4b^2\\8b = 16\\b = 2[/tex]
Hope that helps!
A community theater group produced 8 plays over the last two years. The
group's goal for the next two years is to produce at least 1 times as many
plays as they did in the two previous years. How many plays does the group
want to produce in the next two years?
Answer: 8 plays.
Step-by-step explanation: I might be missing something here, but it says at least 1 times as many plays?? 8 * 1 = 8, so I guess 8 plays?
A cake mix calls for these ingredients.3 cups of milk6 cups of flour2 cups of sugar1 cup of oil
Answer:
what's up w u people and not giving context
Step-by-step explanation:
1. add ur complete problem
2. show a picture or add the question(s)
3. ur done at that point
what is the genaral term of this number pattern ? 45,41,37,33,29
Answer:
-4n + 49
Step-by-step explanation:
it is going down by 4 each step, hence, -4 and 45 -- 4 = 45 + 4 = 49.
Answer:
aₙ = -4n + 49Step-by-step explanation:
45, 41, 37, 33, 29, ....
a₁ = 45
a₂ = 45 - 4 = 41
a₃ = 41 - 4 = 37
a₄ = 37 - 4 = 33
a₅ = 33 - 4 = 29
...
It's an arithmetic sequence.
a₁ = 45, d = -4
A general term of an arithmetic sequence:
aₙ = a₁ + (n - 1)d
Substitute:
aₙ = 45 + (n - 1) · (-4) = 45 - 4n + 4 = -4n + 49
The first two terms of an arithmetic sequence are 7 and 11. Which of the following is the value
of its 30th term
Answer:
123
Step-by-step explanation:
Add 4 enough times to 11 and you will get there.
Complete the equation so that it has infinitely many solutions.
12x−x+8+3x=
Answer:
= 14x +8
Step-by-step explanation:
For the equation in one variable to have infinitely many solutions, it must be true for all values of x. That is, the left side and the right side must simplify to identical expressions.
The left side simplifies to ...
12x -x +8 +3x = (12 -1 +3)x +8 = 14x +8
So, we can give the equation infinitely many solutions if the right side is 14x +8:
12x -x +8 +3x = 14x +8 . . . . has infinitely many solutions
At what position on the number line is the red dot located?
A.
0.25
B.
0.75
C.
0.5
D.
0
Answer:
C. 0.5..................
Please help me. I need the answer.
Answer:
Hello there! The answer is 3 seconds.
Simplify 3xy(5x +3 - 7y)
[tex]3xy(5x+3-7y)=15x^2y+9xy-21xy^2[/tex]
Is (2,10) a solution to this system of equations?
y = 4x + 2
y = x + 8
Yes or no
Answer:
yes, it is
Step-by-step explanation:
10 = 4(2) + 2
10 = 8 +2
10 = 10
10 = 2 + 8
10 = 10
Answer:
The answer is yes
*View the attached graph to check your answer graphically.*
Step-by-step explanation:
y = 4x + 2
y = x + 8
For this problem, I will be using substitution, since the second equation is already in the slope-intercept form.
First, I will substitute the second equation, for y, in the first equation:
y = 4x + 2
y = x + 8
x + 8 = 4x + 2
Next, subtract 4x from both sides to isolate x:
x + 8 = 4x + 2
-4x -4x
-3x + 8 = 2
Then, subtract 8 from both sides:
-3x + 8 = 2
- 8 - 8
-3x = -6
Now, divide both sides by -3:
-3x = -6
/-3 /-3
x = 2
Now, we find the value of y by substituting 2 for x:
y = 4x + 2
y = 4(2) + 2
y = 8 + 2
y = 10
(x, y) ==> (2, 10)
Therefore, yes (2,10) is a solution to this system of equations.
*View the attached graph to check your answer graphically.*
Hope this helps!
Can anyone Please help me
Answer:
find the product of (4m-n) and (3m-2n)
can you please help?
Answer:
$103.75
Step-by-step explanation:
Hours worked on Monday: 8.30 hours (4.15 h in the morning and 4.15 h in the afternoon)
8.30 hours x $12.50 per hour: $103.75
Chloe has taken four tests this semester. Her scores on the three tests are 87, 78, and 61. If her test average is 78.5, what is her grade on her 4th test?
n = last test
(87 + 78 + 61 + n) : 4 = 78,5
87 + 78 + 61 + n = 78,5 x 4
n = 314 - 226
n = 88
Given the function f(x) = 0. 5|x – 4| – 3, for what values of x is f(x) = 7? x = –24, x = 16 x = –16, x = 24 x = –1, x = 9 x = 1, x = –9.
If the value of the function f(x) is 7, then the value of x is –16, and 24. Then the correct option is B.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The given function is f(x) = 0.5 |x – 4| – 3
If the value of the function f(x) is 7, then the value of x will be
0.5 |x – 4| – 3 = 7
0.5 |x – 4| = 10
|x – 4| = 20
x – 4 = ±20
For positive signs, we have
x – 4 = 20
x = 24
For negative signs, we have
x – 4 = –20
x = –16
More about the function link is given below.
https://brainly.com/question/5245372
Kaylee was out at a restaurant for dinner when the bill came. her dinner came to $24. after adding in a tip, before tax, she paid $28.08. find the percent tip.
Answer:
17%
Step-by-step explanation:
subtract/originial*100=lercent change
4.08/24=0.17*100=17
The answer is 17%
Find the missing side of the triangle. I'll mark brainiest please help!
Answer:
○ [tex]\displaystyle \textcolor{black}{C.}\:\sqrt{193}\:km.[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem to define the hypotenuse:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 7^2 + 12^2 = x^2 \hookrightarrow 49 + 144 = x^2 \hookrightarrow \sqrt{193} = \sqrt{x^2} \\ \\ \boxed{\sqrt{193} = x}[/tex]
I am joyous to assist you at any time.
[tex] \huge \underline\text{ Hello There}[/tex]
[tex] \text{We know, Pythagoras Theorem}[/tex]
[tex]\implies \text{ (Hypotenuse)²= (Base)² + (Altitude)²}[/tex]
[tex] \text{Here, \red{Hypotenuse}= x, \red{Base}= 7, \red{Altitude}= 12}[/tex]
[tex] \underline \text{To Find, } \text{Value of'x'}[/tex]
[tex] \huge \underline\text \red {Solution}[/tex]
[tex] \implies {x}^{2} = (7) {}^{2} + {(12)}^{2} \\ \implies(x) {}^{2} = 49 + 144 \\ \implies( {x})^{2} = 193 \\ \implies x = \sqrt{193} [/tex]
[tex] \therefore \text{Hypotenuse}= \sqrt{ 193} \text{ km}[/tex]
[tex] \text{Correct Opt. C}= \sqrt{ 193} \text{ km}[/tex]
Edmond buys 4/5 of a kilogram of butterscotch chips and 5 kilograms of milk chocolate chips.
How much does he spend?
milk chocolate chips
$1 per kg
white chocolate chips
$2 per kg
dark chocolate chips
$3 per kg
butterscotch chips
$1 per kg
semisweet chocolate chips
$2 per kg
What does x equal 5x+2=16
Answer:
X = 2.8
Step-by-step explanation:
5x+2=16
5x=16-2
5x=14
x=14÷5
x=2.8
Hope that helps!