Answer:
5(5r - 6)
Step-by-step explanation:
25r - 30
we can factor out a 5 since 25 and 30 are both multiples of 5
so we get 5(5r - 6)
hope this helps!
ps i love ur pfp
Plz help out real quick
Answer:
b=55°..Step-by-step explanation:
b+6°+41°+b+23°=180°{sum of angle of triangle}2b+70°=180°2b=180°-70°b=110/2b=55°hope it helps.stay safe healthy and happy......QUICK 20pts!!!! 1. In a certain country, the probability that a baby that is born is a boy is 0.52 and the probably that a baby that is born is a girl is 0.48. A family has two children. If X is the number of girls born to a family, find the probability that the family has 0, 1, or 2 girls. (a) Draw a tree diagram showing the possibilities for each outcome. (b) Create the binomial distribution table for . Show all your work.
(a) i aint drawing a tree but basically, if left means a boy is born and right means a girl is born, the far left result (both boys) will happen with probability [tex](0.52)^2[/tex], the two middle results (one boy and one girl) will both happen with probablility [tex]0.48 \cdot 0.52[/tex], and the far right result (both girls) will happen with probability [tex](0.48)^2[/tex].
(b) binomial distribution table for what...?
A rental car company charges a base fee of $40 plus $0.25 per mile for the first 100 miles the car is driven. The company charges the same base fee plus a reduced price of $0.18 per mile for cars driven over 100 miles. The piecewise function below represents the different amounts the company charges.
If someone drives their rental car 150 miles, how much will they owe the rental company?
$37.50
$77.50
$67.00
$27.00
Answer:
C
Step-by-step explanation:
By using a piece-wise function that models the cost as a function of the number of miles driven, we will see that the cost for 150 miles is $67.00
How much is the cost for 150 miles?We know that there is a base fee of $40 plus $0.25 for the first 100 miles, and for each mile, after the 100 the cost is $0.18.
Then we have the piece-wise function:
c(x) = $40 + $0.25*x 0 ≤ x ≤ 100
c'(x) = $40+ $0.18*x 100 ≤ x
If x = 150, we need to use the second part, this will give:
c(150) = $40 + $0.18*150 = $67.00
So the cost is $67.00
If you want to learn more about piece-wise functions, you can read:
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8(3 - i) = 5(2 - 2i)
Answer:-7
Step-by-step explanation:
24-8i=10-10i
24-10=-10i+8i
14=-2i
I=-7
Solve each system by substitution
y=4
-3x+5y=2
Answer:
x = 6; y = 4
Step-by-step explanation:
y=4
-3x+5y=2
-3x + 5(4) = 2
-3x + 20 = 2
-3x = -18
x = 6
Answer: x = 6; y = 4
Answer:
(6,4)
Step-by-step explanation:
y=4
-3x+5y=2
Substitute y=4 into the second equation
-3x+5*4=2
-3x +20 = 2
Subtract 20 from each side
-3x +20-20 = 2-20
-3x = -18
Divide by -3
-3x/-3 = -18/-3
x=6
(6,4)
Danny, a grade 10 math student, completed the following chart. Review Danny's work. If there
are errors, explain, and correct them.
Natural
Whole
Integers
Rational
Irrational
Real
-3
32
711
125
143/125
7.17...
Answer:
[tex]\begin{array}{ccccccc}&Natural&Whole &Integer&Rational&Irrational&Real\\-3\dfrac{3}{9}&&&& \checkmark&&\checkmark\\\sqrt{11} &&&&&\checkmark &\checkmark\\125&\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\4\cdot \sqrt[3]{125} &\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\7.\overline {17} &&&& \checkmark&&\checkmark\end{array}[/tex]
Step-by-step explanation:
The given numbers and their categories are;
1) [tex]-3\dfrac{3}{9}[/tex] is not a natural number, because, natural numbers are whole number positive integers. It is not an integer, because it is a fraction.
It is a real number, because it has no imaginary part and it is a rational number because it can be expressed as a fraction
2) √11 is not a rational number, because it cannot be expressed as a fraction, and it is real number because it has no imaginary parts.
Therefore, is an irrational and real number
3) 125; The options selected are correct
4) 4·∛125 = 4 × 5 = 20; The options selected are correct
5) 7.[tex]\overline {17}[/tex] = 710/99; Therefore, 7.[tex]\overline {17}[/tex] is a rational number and it is also a real number as all natural, whole, integers, rational, and irrational numbers are real numbers
We get;
[tex]\begin{array}{ccccccc}&Natural&Whole &Integer&Rational&Irrational&Real\\-3\dfrac{3}{9}&&&& \checkmark&&\checkmark\\\sqrt{11} &&&&&\checkmark &\checkmark\\125&\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\4\cdot \sqrt[3]{125} &\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\7.\overline {17} &&&& \checkmark&&\checkmark\end{array}[/tex]
Given that the average of 2021 different positive integers is 3939, find the minimum possible value of the largest number among those 2021 positive integers.
Answer:
4049
Step-by-step explanation:
For a set of N numbers:
{x₁, x₂, ..., xₙ}
The mean is given by:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
So, if we have 2021 different positive integers, we have N = 2021.
We know that the mean is 3939.
We want to find the minimum possible value of the largest number in the set.
This is kinda trivial but:
We have 2021 numbers = 2020 numbers + 1 number
So we can assume that half of these 2020 numbers are consecutive to and smaller than 3939 and half are larger than and consecutive to 3939, and the remaining number is 3939, then our set is:
{ (3939 - 1010), (3939 + 1009),..., (3939), ..., (3939 + 1010)}
Obviusly, because the numbers are symmetrically distributed around 3939, the mean will be 3939.
And this is the case where we have the smallest largest value in the set, as the numbers are all clustered, for example, if one of the numbers in the lower side was 2 units smaller, then the largest number should be 2 units larger.
Then, the minimum possible value of the largest number is:
3939 + 1010 = 4049
A bus has less than 42 seats. If 36 seats are already occupied, write an
inequality representing the possible number of passengers that can be
added to the bus.
A.) x - 36 < 42
B.) x + 36 < 42
C.) x - 36 > 42
D.) x + 36 > 57
Answer:
B
Step-by-step explanation:
A x - 36 <42 is wrong because its saying how many can be added
B x +36 < 42 this one is most likely correct because its displays x as how many can be added
C x - 36 > 42 this is wrong because the bus has less than 42 seats
D x + 36 >57 like i said cant be over 42
The inequality representing the possible number of passengers that can be added to the bus is Option(B) x + 36 < 42.
What is inequality ?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. Inequality is used most often to compare two numbers on the number line by their size. There is always a definite equation to represent it.
How to form the given inequality equation ?Let x be the number of passengers that can be added to the bus.
It is given that the bus has less than 42 seats and 36 seats are already occupied.
The sum of the remaining seats which are to be filled by the passenger and the 36 seats which are filled, must be less than the total seats that is 42.
Therefore the inequality equation becomes,
x + 36 < 42.
Thus, the inequality representing the possible number of passengers that can be added to the bus is Option(B) x + 36 < 42.
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Two corresponding sides of similar triangles have the lengths 6 cm and 16 cm. What is the ratio, expressed as a decimal?
Answer: 16:81
Step-by-step explanation:
A car travelling at v kilometers per hour will need a stopping distance, d, in meters without skidding that can be modelled by the function d=0.0067v2+0.15v. Determine the speed at which a car can be travelling to be able to stop within 37m.
I’m need of serious help!
Answer:
v = 14 km/h
Step-by-step explanation:
d = 0.0067[tex]v^{2}[/tex] + 0.15v
differentiate the function with respect to v to have;
d = 0.0134v - 0.15
given that the distance without skidding = 37 m (0.037 km) , then;
0.037 = 0.0134v - 0.15
0.0134v = 0.037 + 0.15
= 0.187
v = [tex]\frac{0.187}{0.0134}[/tex]
= 13.9552
v = 14 km/h
The speed of the car travelling would be 14 km/h to be able to stop within 37m.
In the diagram below, lines AB and CD are...
Answer:
Perpendicular
Step-by-step explanation:
Perpendicular lines intersect and create 4 90 degree angles
Line AB and CD intersect and create 4 90 degree angles therefore line AB and CD are perpendicular
Express the following numbers in the Standard form 5x10-⁵
Step-by-step explanation:
5 × 10[tex] {}^{-5} [/tex]
is in standard form or scientific notification. I have assumed that you meant what is 5 × 10[tex] {}^{-5} [/tex]
as a number
so here it is :-
[tex]5 \times {10}^{-5} = \frac{5}{100000} [/tex]
[tex] = 0.00005[/tex]
the Standard form 5x10-⁵ is 0.00005.
Answer:
[tex]\bold{5*10^{-5}=\frac{5}{100000}=0.00005}[/tex]
Please help me to solve this question pleaseee
Answer:
Step-by-step explanation:
1) ML // JK , MK is transversal,
∠LMK = ∠MKJ {Alternate interior angles are congruent}
∠LMK = 30°
In ΔMKO,
30 + 115 + ∠ JLM = 180 {Angle sum property of triangle}
145 +∠ JLM = 180
∠ JLM = 180 - 145
∠ JLM = 35°
2) AB // CD , AC is transversal
∠DCA = ∠BAC {Alternate interior angles are congruent}
∠DCA = 23
∠BCD = ∠DCA + ∠BCA
= 23 + 37
= 60
3) EF // HG ; FH is transversal
∠FHG = ∠HFE {Alternate interior angles are congruent}
∠FHG = 77
4) ZY // WX ; WY is transversal
∠ZYW = ∠XWY {Alternate interior angles are congruent}
= 65
ZY // WX ; WY is transversal
∠ZWY = ∠WYX {Alternate interior angles are congruent}
= 36
In ΔWZY
36 + 65 + ∠z = 180
101 +∠Z = 180
∠Z = 180 - 101
∠Z = 79
How many three-digit numbers can you make if you are not allowed to use any other digits except 4 and 0?
Answer:
There is a slight problem with this question
Do numbers starting with "0" count as a digit position
I would say no, thus the answer is 4...
if you are allowed to use 0 then the answer is 8
in other words if the question was using only 4's and 1's then the answer would be 8
Step-by-step explanation:
000
004
040
044
400
404
440
444
If anyone knows pls answer
Answer:
1
Step-by-step explanation:
Given f(x) = 3x - 1, find f(2).
Answer:
5
Step-by-step explanation:
by plugging on the number 2 to the equation, solve 3×2=6 and then subtract 1=5
Which pair shows equivalent expressions?
O 2x+10=-2(x-5)
O-2(x+5)=2x-10
0 -2x-10=-2(x+5)
O -2(x-5)=-2x-10
Answer:
O-2(x+5)=2x-10
Explanation
O-2(x+5)=2x-10
SOLUTION
-2x(x)= -2x
-2x+5 = -10
Find the measure of the indicated angle.
Answer:
86°
Step-by-step explanation:
180-(2*47)
= 180-94
= 86
Answered by GAUTHMATH
simplify and reduce
3x^2-12/9x+18
noo links plss
Answer:
(x-2)/3
Step-by-step explanation:
3x^2 -12
------------------
9x+18
Factor
3(x^2-4)
-------------
9(x+2)
Notice the numerator is the difference of squares
3(x-2)(x+2)
--------------------
3*3(x+2)
Canceling like terms
(x-2)
--------
3
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\dfrac{3x^2-12}{9x+18}\\\\ \dfrac{3(x^2-4)}{9(x+2)}\\\\ \dfrac{3(x+2)(x-2)}{3.3(x+2)}\\\\ \dfrac{\cancel{3(x+2)}(x-2)}{3.\cancel{3(x+2)}}\\\\\dfrac{x-2}{3}[/tex]
Find the area of the image below
Answer:
0 because there is no image....
P(x) = 1 – 2x2 – 3x3 + 4x has what order?
Answer:
3
Step-by-step explanation:
assuming you forgot you ^ mark after x x^3 would be the highest x order here making it the order for the equation.
If XZ = 46 and WR = 21, find WX.
Answer:
[tex]WX=\sqrt{970}[/tex]
Step-by-step explanation:
The diagonals of a kite intersect at a 90-degree angle. In this figure, right triangle [tex]\triangle WRX[/tex] is formed by half of each of the diagonals.
In any right triangle, the Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.
Segment WR is one leg of the triangle and is given as 21. XR forms the other leg of the triangle, and is exactly half of diagonal XZ. Therefore, [tex]XR=\frac{1}{2}\cdot 46=23[/tex].
The segment we're being asking to find, WX, marks the hypotenuse of the triangle.
Therefore, substitute our known information into the Pythagorean Theorem:
[tex]21^2+23^2=WX^2,\\WX^2=970,\\WX=\boxed{\sqrt{970}}[/tex]
Answer:
WX= 31.14
Step-by-step explanation:
Use the Pythagorean theorem- [tex]a^{2} +b^{2} =c^{2}[/tex]
XR=23 by taking half of 46
[tex]21^{2} +23^{2} =c^{2} \\441+529=c^{2} \\970=c^{2}[/tex]
sqrt both sides to get your answer of 31.14
I need to verify this function is symmetric with respect to the y-axis. How would I go about doing that?
h(x)=x^4-5x^2+3
Answer:
Yes, the function is symmetric about y-axis.
Step-by-step explanation:
To check whether the function is symmetric with respect to y-axis, replace each x as -x and simplify.
If h(x) = h(-x) then it is symmetric about y-axis.
Let's find h(-x) now.
h(-x)= [tex](-x)^4} -5(-x)^{2} +3[/tex]
Let's simplify it
h(-x)=[tex]x^{4}-5x^{2} +3[/tex]
Here, h(x) = h(-x). The function is symmetric about y-axis.
Find the sum of a geometric series of which a1=7, n=4 and r=3
Answer:
280
Step-by-step explanation:
Use the formula: (a((r^n)-1))/(r-1)
= (7((3^4)-1))/(3-1)
The sum of the given geometric series is 280.
We have given that,
a1=7, n=4 and r=3
We have to determine the sum of a geometric series
What is the formula sum of the geometric series?[tex]S_n=(a((r^n)-1))/(r-1)[/tex]
[tex]= (7((3^4)-1))/(3-1)[/tex]
[tex]=280[/tex]
Therefore the sum of the given geometric series is 280.
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The density of water is 1 gram per cubic centimeter. A more dense object will sink, and a less dense object will float. Will a marble with a radius of 1.4 cm and a mass of 9 grams sink or float in water? The marble will (float/sink) because the density of the marble is about (0.71, 0.78, 1.28, 1.40) grams per cubic centimeter.
Answer:
sink at 1.28 g/cm^3
v = 4/3 [tex]\pi r^{3}[/tex]
v = 4/3 [tex]\pi 1.4^{3}[/tex]
v =11.49 /9 =1.28
Step-by-step explanation:
find the distance (-1,-2) and (3,-1)
Answer:
[tex]\sqrt{17}[/tex]
Step-by-step explanation:
[tex]\sqrt{4^2 + 1^2}[/tex]
[tex]\sqrt{17}[/tex]
Help me please please help me please
Answer:
the first one...
the cost of renting the ally for 14 hours
Step-by-step explanation:
Answer:
the first one
the number of dollars it costs to rent the bowling lane for14 hours
i’m having trouble with this question. if anyone can answer it would mean a lot
Answer:
Step-by-step explanation:
x = - 48/-8 = 6
c = c^2/c^1 = c^(2-1) = c^1
d = d^4 / d^1 = d^(4 - 1) = d ^3
x = 6
e = 1
f = 3
Find the special product:
(r + 5)^2
Answer:
i am not sure about this answer but i got r^2+10r+25
Mr. Mark's class has 32 students in which 20 are girls. What is the ratio of the girls to the boys?
Hello!
32 students (girls+boys)
20 (girls)
32-20 = 12 (boys)
The ratio of girls to the boys
= 20:12
= 5:3
D is the answer.
Good studies!