Answer:
Step-by-step explanation:
Factorize x² - 5x + 6
x² - 5x + 6 = x² - 3x - 2x + 6
= x(x - 3) - 2(x - 3)
= (x - 3)(x -2)
[tex]\sf \dfrac{(x -1)}{4x -8} \ \div \dfrac{x-2}{x^2-5x + 6} = \dfrac{x -1 }{4x-8} * \dfrac{x^2 - 5x + 6}{x -2}[/tex]
[tex]\sf = \dfrac{(x -1)}{4x-8)}*\dfrac{(x-3)(x-2)}{(x-2)}\\\\ [\text{\bf (x-2) in the numerator and denominator will be cancelled}]\\\\\\= \dfrac{(x -1)(x-3)}{4x-8}\\\\=\dfrac{x*x + x*(-3) + (-1)*x + (-1)*(-3)}{4x-8}\\\\=\dfrac{x^2-3x -x + 3}{4x -8}\\\\=\dfrac{x^2-4x +3}{4x-8}[/tex]
Find the exact values of x and y.
here is the answer of your question
A balloon artist claims the probability a randomly selected balloon pops while being molded is 0.10 and that balloons pop independent of other balloons. Part A. If we select a random sample of 3 balloons, what’s the probability that all of them pop while being molded?
Work Shown:
(0.10)^3 = (0.10)*(0.10)*(0.10) = 0.001
Answer:
0.001
Step-by-step explanation:
This can be modeled as a binomial distribution as:
There is a fixed number (n) of trialsEach trial is either a success or failureAll trials are independentThe probability of success (p) is the same in each trialThe variable is the total number of successes in the n trialsLet "success" be the balloon popping.
⇒ trials (n) = 3
⇒ probability of success (p) = 0.10
To find the probability that all 3 of the balloons pop, use the binomial distribution with x = 3:
[tex]\begin{aligned} \displaystyle P(X=x) & =\binom{n}{x} \cdot p^x \cdot (1-p)^{n-x}\\\\\implies P(X=3) & =\binom{3}{3} \cdot 0.1^3 \cdot (1-0.1)^{3-3}\\ & = 1 \cdot 0.001 \cdot 1\\ & =0.001 \end{aligned}[/tex]
PLEASE HELP ME! Write an explicit formula for the sequence, and state whether or not it is geometric.
70, 76,82,88,...
Answer:
PENDULUM A pendulum swings with an arc length of 24 feet on its first swing. On each swing after the first swing, the arc length is 60% of the length of the previous swing. Draw a graph that represents the arc length after each swing.
Hi, I'm struggling on level 2 for
express Express 20 cm as a fraction of 3 m. Then give the fraction in its simplest form.
Answer:
Step-by-step explanation:
we know 100 cm are in one meter, so, 3 meters = 300 cm
then 20/300 = 20 cm of 3 meters , now just reduce the fraction
20/300
= 2 / 30
= 1/15
see??
Determine the measure of angle b, and describe the relationship between the two angles shown.
1:None of these
2:40 degrees; supplementary
3:40 degrees; complementary
4:130 degrees; complementary
5:130 degrees; supplementary
Answer:
b=130°
Step-by-step explanation:
The relationship between these two angles is about the fact that they are supplementary
i.e their sum is 180°
Find the area of a rectangle whose sides are 2a and 3a
Answer:
6a^2
Step-by-step explanation:
2a x 3a
a x a = a^2
2 x 3 = 6
2a x 3a = 6a^2
2a × 3a
a × a = a²
2 × 3 = 6
2a × 3a = 6a²
Step-by-step explanation:
✯Hope this helps✯✿..๑...Ziddi girl ♡..✧
Which data set could be represented by the box plot shown below
Find the x- and y-intercept(s) of the line y = -5x + 8.
Answer:
x-intercept: (8/5, 0)
y-intercept: (0, 8)
Step-by-step explanation:
y = mx + b has y-intercept at b.
y = -5x + 8 has y-intercept at 8. The point is (0, 8).
The x-intercept occurs when y = 0.
-5x + 8 = 0
-5x = -8
x = 8/5
The x-intercept is 8/5, so the point is (8/5, 0).
3x + y = 19 2x + y = 12 the solution of the system is , , , ,
Answer:
x plus 5 = 2/3
Step-by-step explanation:
round 9.955 to 1 significant figure
give that x=2 ,y=3 and z= 4 find the value of each expression.
a.4y-x
Answer:
10
Step-by-step explanation:
You just have to plug in the values :)
Since y = 3 and x = 2:
4y - x = 4(3) - 2 = 12 - 2 = 10
Answer:
10
____
[tex]\sf Part[/tex] I
⋆ [tex]\sf Given~y~and~x~are~3~and~2...[/tex]
⋆ [tex]\sf Use~the~values~to~solve[/tex]
____
[tex]\sf Part[/tex] II
[tex]4y-x\\(4y)-x\\(4*y)-x\\(4*3)-2\\= 10[/tex]
the difference of 5.189 and 2.94
Answer:
5.189-2.94=2.249
Step-by-step explanation:
Use the calculator.
Brainliest to the correct answer, but answer ASAP
ONLY answer if you are 100% sure so don't say "I think" or "It might be"
btw theres 2 pictures so make sure you look at both
The diagram shows a square pizza box with side lengths of 16 inches. In the box is a circular pizza with a radius of 8 inches. What is the difference between the area of box and the pizza?
Answer:
54.9381 square inches
Step-by-step explanation:
Find the areas of both the square box and the circular pizza.
The equation for the area of a square is A = s^2. (or A = lw)
A = 16^2 = 256 square inches
The equation for the area of a circle is A = πr^2.
A = π(8^2) = 64π = 201.0619 square inches
Now subtract the areas.
256 - 201.0619 = 54.9381 square inches
here is the picture.it is for the angles not for sure if it is a 180 degree angle?
it is a 90° angle
a = 90 - 49
a = 41
hope it helps...!!!
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 60% pure antifreeze. The company wants to obtain 240 gallons of mixture that contains 15% pure antifreeze . How many gallons of water and how many gallons of the premium antifreeze solutin must be mixed?
An equation is formed of two equal expressions. The amount of premium antifreeze and the water that should be mixed are 60 gallons and 180 gallons, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the amount of premium anti-freeze solution mixed be represented by x, while the amount of water mixed be represented by y.
Since the total mixture should be 240 gallons, therefore,
x + y = 240
Solving for y,
y = 240 - x
Given the percentage of pure antifreeze, the mixture should contain is 15%. Therefore, we can write,
60%x + 0%y = 15%(240)
0.60x = 0.15(240)
x = 60 gallons
Now substitute the value of x in the first equation,
y = 240 - 60 = 180 gallons
Hence, the amount of premium antifreeze and the water that should be mixed are 60 gallons and 180 gallons, respectively.
Learn more about Equation:
https://brainly.com/question/2263981
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the difference between two positive integers is 3. if the smaller is added to the square of the larger, the sum is 377. Find the integers
Answer:
let the smaller number be x and the larger number is y
y =x+3
x+y²=377
x+(x+3)²=377
x+(x+3)(x+3)=377
x+x²+3x+3x+9=377
x²+7x+9-377=0
x²+7x-368=0
using factorization method
check the attachments for more details
The scale of a soccer field is 5cm = 7m. If the drawing has dimensions 7.5cm x 5cm, What are the actual dimensions of the soccer field?
Answer:
35.5cm^2
Step-by-step explanation:
I believe we're talking about a rectangular. So it would be length * width or 7.5cm * 5cm = 35.5cm^2
PLEASE HELP ON QUESTION 100 POINTS WILL MARK BRAINLIEST!
Answer:
188
Step-by-step explanation:
Ive attached my work
Hope it helps, Let me know if you have any questions !
Determine the next three terms in the following sequence:
2,3,5,8,__, __, __, …
a. 13, 19, 26
b. 12, 17, 23
C. 12, 16, 20
d. 13, 17, 23
Please select the best answer from the choices provided
A textbook store sold a combined total of 445 biology and history textbooks in a week. The number of history textbooks sold was 45 less than the number of biology textbooks sold. How many textbooks of each type were sold?
Equations to use:
x = biology
y = history
x + y = 445.
x - 45 = y
Step-by-step explanation:
hope you understand..........
please help these are two separate questions
Answer:
Question 7: 64
Step-by-step explanation:
Let me know if you need more help !!
Step-by-step explanation:
hopefully the picture uploads
What’s the answer to the question for 5z
75 POINTS Need an immediate answer please brainliest will be given! A train left a station travelling to a city at 30 mph. The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Two hours later a car left the same station and traveled in the same direction to the same city. The car traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Knowing that they both reached the city at the same time, find the distance between the station and the city in terms of miles.
The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.
What is the rate of speed?The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,
r=d/t
Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.
The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let t is the time the train has taken to travel and x is the distance it travelled. Thus,
[tex]t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}[/tex]
After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let t is the time the car has taken to travel and x is the distance it travelled. Thus,
[tex]t+2=3+\dfrac{(x-3\times35)}{51}[/tex]
As t is same, thus put the value of t in this equation,
[tex]\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6[/tex]
Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.
Learn more about the rate of speed here:
https://brainly.com/question/359790
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P(Q) = 12/17
P(R) = 3/8
If Q and Rare independent events, find the PQ and R).
Answer:
9/34
Step-by-step explanation:
P(QnR) = P(Q) * P(R)
= 12/17 * 3/8
= 9/34
A cylinder has a height of 6 meters and a radius of 3 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
169.56 m³
Step-by-step explanation:
» Concepts
The volume of a cylinder is how much space there is inside the cylinder. The formula to find the volume is πr²h, where r = radius and h = height. Once you get the volume, you have to add <unit>³.
» Application
We are given the radius as three meters and the height as six meters; we also have to use π as 3.14. Now, we just have to plug in these values into the aforementioned formula.
» Solution
[tex]3.14*3^3*6[/tex] [tex]3.14*9*6[/tex][tex]28.26*6[/tex] [tex]169.56[/tex]There is a 2 kg book lying on a table. A 64 N force is applied to the book at a 120° angle from horizontal and moves the book 3 meters in the horizontal direction. How much work was done?
Answer:
156.32 joules
Step-by-step explanation:
In this case, we know the force of 64 N and the distance of 3 m. We also know that there is a 120°angle between the angle of the direction of applied force and the direction of motion. So plugging these values into our handy equation yields:
W = 64(3)cos(120)= 156.32 Joules
So the 64 N force at a 120° angle did 156.32 joules of work moving the book 3 meters.
What is the perimeter of the isosceles triangle show below? If necessary, please round to the nearest hundredth.
A. 26.64 units
B. 16 units
C. 16.64 units
D. 36.64 units
PLEASEEE I NEED THE ANSWER IMMEDIATELY
Answer:
it a 26.64 units. hope it helps
Can someone solve both of these?
Answer:
4. A. y = -3x - 2
5. B. ¹/₃
Step-by-step explanation:
General form of a linear equation: y = mx + b
(where m is the slope and b is the y-intercept)
Question 4
From inspection of the graph, the y-intercept is at y = -2
The slope is the change in y divided by the change in x, so we can see that for every change of 1 x-value, the y-value decreases by 3 units.
Therefore, the slope is -3
So the equation of the line is y = -3x - 2
Question 5
Referring to the general form of the linear equation quoted above,
for equation y = ¹/₃x + 4
slope = ¹/₃y-intercept = 4A recipe for 1/2 dozen cookies calls for 1/4 pound of butter.
How much butter is needed to make 3 dozen cookies?
