Solve 0.25[2.5x+1.5(x-4)]=-x
Answer:
x = 0.75
Step-by-step explanation:
Find the volume of a rectangular prism with length 7 feet,width 6 feet, and height 4 feet.
Answer:
V=168ft³
Step-by-step explanation:
V=
w-6
h-4
l-7
V = 168ft³
helppppp pllssssssssss
Answer:
Triangle c
Step-by-step explanation:
First is Isosceles as the two sides are the same. The second is also isosceles and the fourth does not make a right angle.
Please help reflect the point (-2,-3) and reflect it over the y-axis
Answer:
Step-by-step explanation:
use formula
A(x,y)=A'(-x,y)
(-2,-3)=(2,-3)
label this graph as “linear” or “non linear”
This answer is Nonlinear
In a group of 20 students there are 12 boys and 8 girls 4 of the boys play on foot ball team what is the probability of choosing 1 student at random from the group who is not on football team
Answer:
There is a 1 in 5 chance. (1/5)
h(x)=x^3 -4x g(x)=x+2 find (h/g) (x)
Answer:
(h/g)(x) = x² - 2x
Step-by-step explanation:
h(x) = x³ - 4x
g(x) = x + 2
(h/g)(x) = h(x)/g(x) = (x³ - 4x) / (x + 2) = x² - 2x
#1
{(3, 7), (2, 4), (-1, 7), (0, 2)}
The domain is...
The range is....
How many different committees can be formed from 12 teachers and 43 students if the committee consists of 3 teachers and 4 students?
The committee of 7 members can be selected in BLANK
different ways.
Answer:
[tex] \displaystyle 27150200[/tex]
Step-by-step explanation:
we are two conditions
committees can be formed from 12 teachers and 43 studentsthe committee consists of 3 teachers and 4 studentsIn choosing a committee, order doesn't matter; in case of teachers we need the number of combinations of 3 people chosen from 12
remember that,
[tex] \displaystyle\binom{n}{r} = \frac{n!}{r!(n - r)!} [/tex]
with the condition we obtain that,
[tex]n = 12[/tex][tex]r = 3[/tex]therefore substitute:
[tex] \displaystyle\binom{12}{3} = \frac{12!}{3!(12 - 3)!} [/tex]
simplify Parentheses:
[tex] \displaystyle\binom{12}{3} = \frac{12!}{3! \cdot9!} [/tex]
rewrite:
[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{(1 \times 2 \times 3 )\cdot1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9} [/tex]
reduce fraction:
[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]
rewrite 12 and 10:
[tex] \rm \displaystyle\binom{12}{3} = \frac{3 \times 2 \times 2 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]
reduce fraction:
[tex] \rm \displaystyle\binom{12}{3} = 2 \times 11 \times 10[/tex]
simplify multiplication:
[tex] \rm \displaystyle\binom{12}{3} = 220[/tex]
In case of students we need the number of combinations of 4 students choosen from 43 therefore,
[tex] \displaystyle\binom{43}{4} = \frac{43!}{4!(43 - 4)!} [/tex]
simplify which yields:
[tex] \displaystyle\binom{43}{4} = 123410[/tex]
hence,
The committee of 7 members can be selected in BLANK different ways is
[tex] \displaystyle 123410 \times 220[/tex]
[tex] \displaystyle \boxed{27150200}[/tex]
and we're done!
Determine wether the lines are parallel perpendicular or neither
Answer:
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.
Step-by-step explanation:
1. Samuel is out with a kite. When he takes a break he attaches it to the floor. The kite is on a thread that is 16 meters long and makes a 30 degrees angle with the floor. How high above the floor is the kite?
Answer:
[tex]h=8m[/tex]
Step-by-step explanation:
From the question we are told that:
Slant height [tex]S=16meters[/tex]
Angle [tex]\theta =30[/tex]
Generally the equation for Height h is mathematically given by
[tex]h=Ssin\theta[/tex]
[tex]h=16*sin30[/tex]
[tex]h=8m[/tex]
The sides of a triangle are x cm, (x -1) cm and (x+2) cm. IF the perimeter is 31 cm, then the SHORTEST side is
Answer:
9 cm
Step-by-step explanation:
Applying,
P = a+b+c................. Equation 1
Where P = Perimeter of the triangle, a, b,c are the three sides of the triangle respectively.
From the question,
Given: P = 31 cm, a = x cm, b = (x-1) cm, c = (x+2) cm
Substitute these values into equation 1, and solve for x
31 = x+(x-1)+(x+2)
31 = 3x+1
3x+1 = 31
3x = 31-1
3x = 30
divide both side by 3 to get x
3x/3 = 30/3
x = 10.
Therefore, the sides of the triangle are
a = x = 10 cm,
b = (x-1) = (10-1) = 9 cm
c = (x+2) = (10+2) cm = 12 cm
Hence the shortest side is 9 cm
Which is an x-intercept of the continuous function in the
table?
(0, -6)
(3, 0)
(-6, 0)
(0, 3)
Answer:
The answer is (3,0)
Step-by-step explanation:
25 points do entire slide, as shown in image.
Answer:
A=90, B=86.896551724,C=90/29
Step-by-step explanation:
B+C=90
(x28)+x=90
x=90/ 29
((90/29)28)=B
A=90° because there is the symbol indicating a right angle
please help meeeeeeeeeeeee
Answer:
The pumpkin gained 33 pounds each week.
Step-by-step explanation:
Help meeeeeeeeeeeeeeee
Answer:
I'm pretty sure it's D becuase you can't have a power be a fraction
Step-by-step explanation:
what are the value of x in the equation x^2+4-1 =0
Answer:
x = ±sqrt(3) i
Step-by-step explanation:
x^2+4-1 =0
Combine like terms
x^2 +3 = 0
Subtract 3 from each side
x^2 +3-3 = 0-3
x^2 = -3
Take the square root of each side
sqrt(x^2) = sqrt(-3)
x = ±sqrt(3) sqrt(-1)
x = ±sqrt(3) i
Write an equation in slope-intercept form of
the line that passes through (-6,4) and
(-1,2).
Please help I will give brainlest
Step-by-step explanation:
D. 321 square feet
26-15= 11
6*11= 66ft²
15*17= 255ft²
255+66= 321ft²
Area= 321ft²
Might be wrong but hope it helped!
Will give brainliest and 15 points
Statistics & Data
For this data set, there is an outlier. The outlier is four.
This is representing a small number of assignments required in math class that month.
This means that the correct answer is B.
Answer:
B
Step-by-step explanation:
The answer should be B or the second choice because the number 4 is unusually low compared to the rest of homework assignments given in the other math classes for that month. I made a graph to show how the number 4 is not near the number of homework assignments given in the other math classes.
If you think I missed something or made a mistake, please let me know.
PLEASE HELP! Which of the following points are in the second quadrant of the xy-plane? Check all that apply.
A. (-7,6)
B. (-2,-8)
C. (6,-2)
D. (-4,2)
E. (2, 2)
F. (4,8)
Answer:
a and d i think bc they are negative-positive
I need help with 37
Answer:
B
Step-by-step explanation:
3 ¾ = 3.75. hope this helps!
factorise: x³ + 4x
(with explaining the steps)
Answer:
x( x^2+4)
Step-by-step explanation:
factor out x from the expression
xx (x^2+4)
than your answer is x( x^2+4)
Answer:
[tex] x(x + 2)(x + 2)[/tex]
Step-by-step explanation:
as the x is the common factor...get x out
[tex] {x}^{3} + 4x[/tex]
[tex]x( {x}^{2} + 4)[/tex]
Then
[tex]x( {x}^{2} + 4) \\ x( {x}^{2} + {2}^{2} ) \\ x(x + 2)(x + 2)[/tex]
Hope this helps you
please help me i really need it.
Find the slope from the two points given: (2, 1) and (3,-10)
Answer:
-11
Step-by-step explanation:
let (2,1)be x1 and y1 respectively
(3,-10) be x2 and y2 respectively
From,slope= (y2-y1)/(x2-x1)
=(-10-1)/(3-2)
= -11/1
= -11
Calculate angle x on the kite.
10
966
X
24°
O x = 100
O x = 96
X = 120
O x = 24
Answer:
10
966
X
24°
O x = 100
O x = 96
X = 120
O x = 24
The measure of 1 in the diagram below is 113º.
What is the measure of <4?
please help 40 points
Answer:
-2 5/9
Step-by-step explanation:
w + (-x) - 2/3
Let w = -5/9 and x = 4/3
-5/9 - 4/3 - 2/3
Get a common denominator
-5/9 -4/3*3/3 -2/3*3/3
-5/9 -12/9 -6/9
Add
-23/9
Change to a mixed number
-2 5/9
The quotient of a number and - 2/3 is -9/10
What is the number?
1 7/20
3/5
29/30
20/27
Answer:
n = 3/5
Step-by-step explanation:
Represent this quotient as:
n
---------
-2/3
and set it equal to -9/10:
n -9
--------- = -------
-2/3 10
Cross multiplication yields:
10n = 6, so that n = 6/10 or n = 3/5
can someone help me pls
Answer:
Step-by-step explanation: