Answer:
1: one solution *x=6
2: no solution
Step-by-step explanation:
1: 4/ 2x -6 = 10/ x +9 --> *cross multiply*
20x - 60 = 4x + 36 --> *subtract 4x from both sides*
16x - 60 = 36 --> *add 60 to both sides*
16x = 90 --> divide by 16
x = 6
Factorise fully 12x^3-4x^2
Answer:
4x² (3x - 1)
Step-by-step explanation:
12x³ - 4x²
4x² (3x - 1)
ASAP PLEASE HELP AND EXPLAIN!!!!!!!!
A random sample of 500 women and 500 men who eamed degrees in science and engineering (S&E) were asked if they work
In an S&E occupation. The results of the survey are shown.
S&E Occupations Non-S&E Occupations Total
Women
76
424
500
Men
169
331
500
Total
245
755
1000
A person from the survey is randomly selected. What is the probability of each event below?
Drag tiles to the empty boxes to create your answers.
• The probability that a randomly selected person works in an S&E occupation is
• The probability that a randomly selected person is a woman and works in an S&E occupation is
• The probability that a randomly selected person is a woman or works in an S&E occupation is
76
245
500
669
745
Answer:
0.245 ; 0.76 ; 0.669
Step-by-step explanation:
Occupations S&E Non S &E Total {Gender wise}
Women 76 424 500
Men 169 331 500
Total {occupation wise} 245 755 1000 [Grand Total]
1) Probability (any person in S & E) = Total people in S & E / Total people = 245 / 1000 = 0.245
2) Prob (woman & works in S & E) , ie P (W ⋂ S) = Total women in S & E / Total people = 76 / 100 = 0.76
3) Prob (woman or works in S & E), ie P (W U S) = P( Women) + P (S & E) - Prob (Women & SE), ie P (W) + P (S &E) - P (W ⋂ S) = ( 500 + 245 - 76 ) / 1000 = 669 / 1000 = 0.669
The probability that a randomly selected person works in an S&E occupation is 0.245.
The probability that a randomly selected person is a woman and works in an S&E occupation is 0.12.
The probability that a randomly selected person is a woman or works in an S&E occupation is 0.745
What are the probabilities?
Probability determines the odds that an event would happen.
The probability that a randomly selected person works in an S&E occupation = total number of people that work in SE / total number of people= 245 / 1000 = 0.245.
The probability that a randomly selected person is a woman and works in an S&E occupation = (number of women / total number of people surveyed) x (number of people that work in SE / total number of people surveyed)
500 / 1000 x (245 / 1000) = 0.12
The probability that a randomly selected person is a woman or works in an S&E occupation = (number of women / total number of people surveyed) + (number of people that work in SE / total number of people surveyed)
= 500 / 1000 + (245 / 1000) = 0.745
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Please help me with this i didn’t get the answer
If the area of a triangle is 15 cm squared, and the base is 2 cm, then what is the height?
Please answer asap.
Answer:
15
Step-by-step explanation:
To find the area of an triangle use the formula BH(1/2) in this case
The base is 2 so the height must be 15 because 2 times 15 is 30 divided by 2 is 15
Tell me if I'm wrong if not
Hope this helped :]
The height of the triangle is 15 centimeters.
Given the following data:
Area of a triangle = 15 cm squaredBase of a triangle = 2 cmTo find the height of the triangle:
Mathematically, the area of a triangle is given by the formula;
[tex]Area \;of\; a \;triangle = \frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]
Substituting the values into the equation, we have;
[tex]15 = \frac{1}{2}[/tex] × [tex]2[/tex] × [tex]height[/tex]
Height = 15 cm
Therefore, the height of the triangle is 15 centimeters.
Find more information: https://brainly.com/question/11037225
Are the dotted lines in the shape parallel, perpendicular or intersecting?
Answer:
Parallel
Step-by-step explanation:
The dotted lines are parallel because they have the same gradient to each other, this means the two dotted lines will never touch each other.
Have a great day <3
The Movie Haven is planning to order new medium-size popcorn containers. It has a choice of four different containers. It costs the company $0.02 per cubic inch of popcorn to fill a container. The company does not want the new container to cost more than $3.00 to fill. Which container should the company use? Use 3.14 for Pi.
Container A
A cylinder with height 5 inches and diameter 7 inches.
Container B
A cylinder with height 6 inches and radius 3 inches.
Container C
A cylinder with height 12 inches and B = 11.14 inches squared.
Container D
A cylinder with height 10 inches and diameter 6 inches.
container A
container B
container C
container D
Answer:
only option less than $3 is (C)
Step-by-step explanation:
Volume(cylinder) = πr²h or Bh
I used the guess-and-check method and got the following:
A) 3.85
B) 3.39
C) 2.67
D) 5.65
Please help!!! Will mark brainliest!
Answer:
2 x 7 = 5 x 3
Step-by-step explanation:
What is the surface area of the prism?
1.
5 in.
4 in.
5 in
Answer:
140
Step-by-step explanation:
[Easy Points] Kanna Kamui sees 3 snowmen. Then he sees 2 more. How many snowmen did Kanna see in all?
Answer:
the correct answer is 5 snowmen
A bus is traveling at a constant speed. If the bus travels 15miles in
of an hour, how many miles will the bus travel in one
Answer:
15 miles
Step-by-step explanation:
If the bus is travelling at a constant speed of 15 miles per hour, then in 1 hour, the bus would have travelled 15 miles.
Find x and y, when AB and MN are similar
Please I need your help quickly
Answer:
x is 5 but sorry I can't Find the value of y
Answer:
y=3
x=5
Step-by-step explanation:
it's similar so CN =NB
that means y=3
so MN=AB
x=5
nadia will survey 50 students in her town to find out what their favorite summertime activity is which group would likeyl give the best representation for her survey
Answer:
B. 50 students in her school
Step-by-step explanation:
Every other answer is at a seperate place designed to help someone in a specific field, besides the school.
What’s the answer and how do you figure these out?
A marine biologist compared two large pools that could be used for a new dolphin training arena. Pool A held 2 x 10¹⁰ gallons, and pool B held 2 x 10⁸ gallons. How many times more gallons will the larger pool hold than the smaller pool?
O4
O 20
O 100
O 200
Answer:
20
Step-by-step explanation:
2 x 10 = 20
divided by 4 = 5
The larger pool will hold is 100 times more gallons than the smaller pool
What is capacity and measurement?From the question, we are to determine how many times more gallons the larger pool holds than the smaller pool
From the given information,
Capacity of the larger pool = 2 × 10¹⁰ gallons
Capacity of the smaller pool = 2 × 10⁸ gallons
To determine how many times more gallons the larger pool holds more than the smaller pool, we will simply divide the capacity of the larger pool by the capacity of the smaller pool
That is,
[tex]\frac{2 \times 10^{10} }{2 \times 10^{8}}[/tex]
= 10²
= 100
Hence, the larger pool will hold is 100 times more gallons than the smaller pool.
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HIYAAAAAAA I 'OPE YOUR ALL WELL THE PROBLEM IS THAT I STUGGLE WITH MATHS...
Trust me, you're not the only one who's bad at math. '-'
help me plz I will give 20 point
Answer:
1) If we have a point (x, y), the angle between the x-axis and a ray that goes from the origin to the point is defined by:
cos(θ) = x/(√(x^2 + y^2))
sin(θ) = y/(√(x^2 + y^2))
Then for the point:
(√(7)/4 , 3/4)
x = √(7)/4
y = 3/4
√(x^2 + y^2) = √((√(7)/4)^2 + ( 3/4)^2) = (1/4)*√(7 + 9) = 1
Then replacing these values in the above equations for the cosine and sine functions, we get:
cos(θ) = x/(√(x^2 + y^2)) = (√(7)/4)/1 = √(7)/4
sin(θ) = y/(√(x^2 + y^2)) = (3/4)/1 = 3/4
2) To find the period, we just need to find the distance between two peaks, or two x-intersects (such that the slope is the same).
Let's look at the graph.
We can see that at x = 0, the graph intersects the x-axis and increases
The next point where this happens is at x = π/3
Then the period of this function is:
P = π/3 - 0 = π/3
The period is π/3
Please help!
A rectangular tabletop has an area of.......
[tex]t^2+2t-99[/tex]
What are the possible dimensions of the tabletop? Use factoring.
The order doesn't matter, so you could say "t+11 and t-9" to mean the same thing.
=======================================================
Explanation:
Think of two numbers that multiply to -99, but also add to 2. In other words, find two factors of -99 which add to 2. We'll use trial and error.
Here are all the ways to multiply to -99 using integers only:
1 and -993 and -339 and -1111 and -933 and -399 and -1Add up each factor pair to see which sum is equal to 2.
1 + (-99) = -983 + (-33) = -309 + (-11) = -211 + (-9) = 2 is what we want33 + (-3) = 3099 + (-1) = 98We can see that 11 and -9 are the two numbers we're after, so therefore, t^2+2t-99 factors to (t-9)(t+11). The order doesn't matter with the factor multiplication.
As a more efficient alternative method, you can use the quadratic formula to solve t^2+2t-99 = 0 to end up with t = 9 and t = -11. That would lead to the two equations t-9 = 0 and t+11 = 0. Applying the zero product property then gets us (t-9)(t+11) = 0.
To help show that (t-9)(t+11) becomes t^2+2t-99, you can use the FOIL rule to expand that factorization out. This is one way to verify the answer.
Find the inverse function.
x - 3
f(x) =
+ 2
5
f-1(x) = [ ? ]x + [ ]
;)
What is your favorite song from...
Ariana Grande?
Selena Gomez?
Doja Cat?
Answer for all of them.
Answer:
Side to side
I love all of hers
And streets
Answer:
Not really a math question but I'll answer anyway (I don't really listen to Doja Cat, so I don't have one)
Step-by-step explanation:
Ariana Grande: Positions
Selena Gomez: Wolves
Have a good day :)
A 2-gallon jug of juice costs $10.88. What is the price per cup?
Answer:
it's ¢.34
Step-by-step explanation:
a gallon has 16 cups
since there are two gallons that's 32
the price of the two gallons divided my 32 is how much each cup would be so 10.88/32 would be ¢.34
Find the area of a trapezoid with base 1 is 10 cm, base 2 is 12 and the height is 8
Answer:
88 sq cm
Step-by-step explanation:
A=(b1+b2) x H divided by 2
SHOW YOUR WORK. The volume of the cylinder is 235.6 ft cubed. Find the height.
Answer:
Answer: 3 feet
Step-by-step explanation:
Here's the complete question:
The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.
Note that Volume of a cylinder = πr²h
where Volume = 235.6 feet³
Radius = 5 feet
Height = Unknown
Then, we put the values back into the question and this will be:
V = πr²h
235.6 = 3.14 × 5² × h
235.6 = 3.14 × 25 × h
235.6 = 78.5 × h
h = 235.6 / 78.5
h = 3 feet
The height is 3 feet
Step-by-step explanation:
Find the values of x and y. Write your answers in simplest form.
Answer:
To find X you'll need this formula Tan 30, and this one to find y cos 30.
Step-by-step explanation:
tan 30 = 9 / x.
tan 30*x = 9
x = 9 / tan 30
x = 15.58
To find y, the value of X will be needed, which is 15.5 that we just found.
Cos= A/H
Cos 30 = 15.58/ y
Cos 30 * y = 15.58
y = 15.58/ cos 20
y = 17.99
A survey was conducted to find the possible relationship between gender and the color of the car the person owns. The data is represented in the
frequency table shown.
Blue
Total
Red
53
Male
Female
Total
25
75
Black
72
45
117
30
83
150
150
300
100
What percentage of the people surveyed were females who own a blue car?
Answer:
25 %
Step-by-step explanation:
PLEASE HELP!!!!!! In which week was the rainfall in Portland the highest and how much fell?
weekly rainfall bar graph
Week 3, 800 cm
Week 4, 1400 cm
Week 4, 1200 cm
Week 3 900 cm
Answer:
Week 4, 1400
Brainliest plz
Step-by-step explanation:
Answer:
Week 3 and 900 cm
Step-by-step explanation:
Brainliest Please!
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
12, 6, 3, ...
Answer:
The sequence is geometric
The common ratio is 0.5
Step-by-step explanation:
In the arithmetic sequence, there is a common difference between each two consecutive terms
In the geometric sequence, there is a common ratio between each two consecutive terms
Let us check the given sequence
∵ The first 3 terms are 12, 6, 3
∵ 6 - 12 = -6
∵ 3 - 6 = -3
∵ There is no common difference between the consecutive terms
∴ The sequence is not an arithmetic sequence
∵ 6 ÷ 12 = 0.5
∵ 3 ÷ 6 = 0.5
∴ There is a common ratio between each two consecutive terms
∴ The sequence is a geometric sequence
∴ The common ratio is 0.5
Calcule: a) ( - 7 ) . ( + 3 ) . ( - 2 ) * 1 ponto + 42 - 12 - 42 b) - 4 . ( + 3 - 2 + 5 ) * 1 ponto - 12 - 24 + 24
Answer:
a) 42
b) -24
Step-by-step explanation:
Recordar las reglas de los signos:
(-)*(-) = (+)
(+)*(-) = (-)
(-)*(+) = (-)
(+)*(+) = (+)
Tambien la propiedad distributiva:
A*(B + C + D) = A*B + A*C + A*D
Queremos calcular:
a) (-7)*(+3)*(-2)
Los primeros dos terminos dan:
-(7*3)*(-2) = -(21)*(-2) = (-21)*(-2) = +(21*2) = +42
b) -4*( + 3 - 2 + 5)
= (-4)*(3) + (-4)*(-2) + (-4)*(5)
= - 12 + 8 - 20 = 8 - 32 = -24
vertex of the graph of x^2 + 8x + 12=0
Answer:
Step-by-step explanation:
Hope this helps u!!
13. Based on the pattern, what are the next two terms of the sequence?
2, 7, 12, 17,...
A. 85, 425
B. 22, 425
C. 22, 27
D. 27, 32
Answer:
C. 22, 27
Step-by-step explanation:
Its adding +5
Answer:
The correct Answer is the letter C.
Step-by-step explanation:
The sequence shows adding 5 to the first number and continue to the next answer.
2 + 5 = 7
7 + 5 = 12
12 + 5 = 17
the next two terms are 22 and 27
17 + 5 = 22
22 + 5 = 27
HOPE IT HELPS
(FROM CROSS)