Answer:
5/9
Step-by-step explanation:
What we have in this question are four white balls and 5 red balls.
This is the sample space
[(4w,0R) (4w,1R)(4w,2R)(4w,3R)(4w,4R)(0w,5R)(1w,5R)(2w,5R)
So we have 9 possible sets of events
The event number with the last ball being white = 5
Probability of the last ball drawn being white = 5/9
= 0.56
Find surface area of this regular pyramid
Answer:
189 ft²
Step-by-step explanation:
Here is the formula...
1/2 * 6 * 36 + 81
Hope this helps
If the measure of angle 2 is 920 and the measure of angle 4 is 2
what is the value of x?
14.
23
Step-by-step explanation:
the value of x will be 920
Suppose f(x) = x2. What is the graph of g(x)= 1/4 f(x)?
NEWD HELP ASAP!
Answer:
g(x) =1/4 x²
The choose (1)
first drawing
what line will most likely have a slope of 10
Answer:
first one
Step-by-step explanation:
HELP
-5(2m-3)-4<81
I need the steps also well
Answer:
m>-7
Step-by-step explanation:
expand
-10m+15-4<81
-10m+11<81
collect like terms
-10m<81-11
-10m<70
m>-7
a. The first five terms of n^2 + 5 are
Given:
The nth term of a sequence is:
[tex]n^2+5[/tex]
To find:
The first five terms of the given sequence.
Solution:
The given sequence is:
[tex]a_n=n^2+5[/tex]
For n=1,
[tex]a_1=1^2+5[/tex]
[tex]a_1=1+5[/tex]
[tex]a_1=6[/tex]
For n=2,
[tex]a_2=2^2+5[/tex]
[tex]a_2=4+5[/tex]
[tex]a_2=9[/tex]
For n=3,
[tex]a_3=3^2+5[/tex]
[tex]a_3=9+5[/tex]
[tex]a_3=14[/tex]
For n=4,
[tex]a_4=4^2+5[/tex]
[tex]a_4=16+5[/tex]
[tex]a_4=21[/tex]
For n=5,
[tex]a_5=5^2+5[/tex]
[tex]a_5=25+5[/tex]
[tex]a_5=30[/tex]
Therefore, the first five terms of the given sequence are 6, 9, 14, 21, 30.
Solve using the substitution method
16x – 4y = 16
4x - 4 = y
Answer:
y = 4 x − 4
Step-by-step explanation:
Please help!!! Picture included
Step-by-step explanation:
A is your answer.
You just have to solve for each function individually and see what the roots are.
9514 1404 393Answer:
(a) f(x) = 2x² -2
Step-by-step explanation:
The function has two zeros, at -1 and 1, so is not a linear or square root function. The only viable choice is the correct one:
f(x) = 2x² -2
Find the equivalent expression using the
same bases.
(98.41)
Using the digits 2 through 8, find the number of different 5-digit numbers such that, digits can be used more than once.
Answer:
7 digits can be used for each position
There are a total of 5 positions
N = 7^5 = 16,807 numbers
You have 7 choices for the first position, second position, etc.
The dimensions of a closed rectangular box are measured as 60 centimeters, 50 centimeters, and 70 centimeters, with an error in each measurement of at most 0.2 centimeters. Use differentials to estimate the maximum error in calculating the surface area of the box.
Answer:
The maximum error in calculating the surface area of the box is 72 square centimeters.
Step-by-step explanation:
From Geometry, the surface area of the closed rectangular box ([tex]A_{s}[/tex]), in square centimeters, is represented by the following formula:
[tex]A_{s} = w\cdot l + (w + l)\cdot h[/tex] (1)
Where:
[tex]w[/tex] - Width, in centimeters.
[tex]l[/tex] - Length, in centimeters.
[tex]h[/tex] - Height, in centimeters.
And the maximum error in calculating the surface area ([tex]\Delta A_{s}[/tex]), in square centimeters, is determined by the concept of total differentials, used in Multivariate Calculus:
[tex]\Delta A_{s} = \left(l+h\right)\cdot \Delta w + \left(w+h\right)\cdot \Delta l + (w+l)\cdot \Delta h[/tex] (2)
Where:
[tex]\Delta w[/tex] - Measurement error in width, in centimeters.
[tex]\Delta l[/tex] - Measurement error in length, in centimeters.
[tex]\Delta h[/tex] - Measurement error in height, in centimeters.
If we know that [tex]\Delta w = \Delta h = \Delta l = 0.2\,cm[/tex], [tex]w = 60\,cm[/tex], [tex]l = 50\,cm[/tex] and [tex]h = 70\,cm[/tex], then the maximum error in calculating the surface area is:
[tex]\Delta A_{s} = (120\,cm + 130\,cm + 110\,cm)\cdot (0.2\,cm)[/tex]
[tex]\Delta A_{s} = 72\,cm^{2}[/tex]
The maximum error in calculating the surface area of the box is 72 square centimeters.
Can someone please help lol
Answer:
the range the score is 59 is the correct answer
Step-by-step explanation:
Range is the largest no minus the smallest no...so 59 is the largest minus 0 the smaller number
A system of equations is said to beinconsistentif the system has no solution. Show by usingthe pivot operation that the following system is inconsistent. Is the system equivalent to asystem in canonical form?
x1 + x2 - 3x3= 7
-2x1 + x2 +5x3 = 2
3x2 - x3 = 15
Answer:
The system is inconsistent
Step-by-step explanation:
Given the matrix system solutions in the attachment, we can see that the coefficient of the matrix rank has become zero. This shows that it has no solution.
Assume that $4,000 I deposited into an investment account doubled in value over a six year period. What annual interest rate must I have earned over this period? Is the initial amount of the deposit relevant to the calculation of the annual interest rate? Why or why not?
Answer:
Interest rate is about 12.246%
The initial deposit doesn't matter because when you divide both sides by the initial deposit you're always left with (1+i)ⁿ=2
Step-by-step explanation:
[tex]4000(1+i)^6=8000\\(1+i)^6=2\\1+i=\sqrt[6]{2} \\1+i=1.122462048\\i=.12246[/tex]
PLEASE EMERGENCY!!!!
Which of the following statements is FALSE?
Answer:
Third one.
BO is not 7.8 cm
Step-by-step explanation:
prove this qns plzz
Answer:
L.H.S.
= (cos5a.sin2a-cos4a.sin3a)/ (sin5a.sin2a-cos4a.cos3a)
Multiply numerator and denominator by 2.
= 2(cos5a.sin2a - cos4a.sin3a) / 2(sin5a.sin2a - cos4a.cos3a)
= (2cos5a.sin2a - 2cos4a.sin3a)/
(2sin5a.sin2a - 2cos4a.cos3a) = [sin(5a+2a)-sin(5a-2a)-sin(4a+3a)
+sin(4a-3a)]/[cos(5a-2a)-cos(5a+2a)-sin(4a-3a) +cos(4a+3a)]
= (sina - sin3a)/(cso3a-cosa)
= (-2cos2a.sina)/(-2sin2a.sina)
= cos2a/sin2a
= cot2a
= R.H.S.
answer is in a picture have a look
An assignment is worth 300 points for each day the assignment is late the professor deduct 10 points from the assignment and grade
Answer:
Eh whats the question? it takes 30 days for the assignemnt to be zero if that is the question.
Step-by-step explanation:
Answer:
points = 300 - 10 L
x = 300 - 10Y
x = points, Y = days late
Step-by-step explanation:
Jerome is cooking dinner. He needs 8 ounces of broccoli for each person.
Part A: Jerome is not sure how many people will come to dinner. Write an expression with a variable that represents the amount of broccoli Jerome needs for dinner. Identify what the variable represents.
Part B: If Jerome has 32 ounces of broccoli, how many people can he feed? Create an equation and show all work to solve it.
Answer:
Step-by-step explanation:
Part A.....let P be the number of people that will show up.....so....
The total amount of broccoli needed (in ounces) = 8P ounces
Part B
32 = 8P divide both sides by 8
4 = P so.....4 people can be fed.....!!!
Step-by-step explanation:
The population of a city this year is 200,000. The population is expected to increase by 2.5% per year over the next 10 years. Which exponential equation models this situation?
Answer:
[tex]A = 200,000(1+.025) ^{t}[/tex]
[tex]A = 200,000(1+.025) ^{10}[/tex]
Step-by-step explanation:
[tex]3x+7=12-2x;1[/tex]
Step-by-step explanation:
[tex]3x + 7 = 12- 2x \\ 3x + 2x = 12 - 7 \\ 5x = 5 \\ x = \frac{5}{5} \\ x =1[/tex]
Plz help ASAP problem down below
Explanation:
This is known as a cyclic quadrilateral since all four points are on the circle's edge, and the quadrilateral is entirely inside the circle (no parts of the quadrilateral spill outside the circle). Another term is "inscribed quadrilateral"
Since we have an inscribed quadrilateral, this means the opposite angles of the quadrilateral are supplementary.
B+D = 180
120+x = 180
x = 180-120
x = 60
find the value of Y in the figure above .
9514 1404 393
Answer:
x = 37y = 22Step-by-step explanation:
Consecutive interior angles are supplementary.
(x -20)° +(4x +15)° = 180°
5x = 185 . . . . . . . . . . . . . . divide by °, add 5
x = 37 . . . . . . . . . . . . divide by 5
__
74° +(5y -4)° = 180°
5y = 110 . . . . . . . . . . . divide by °, subtract 70
y = 22 . . . . . . . . . . divide by 5
BAC can be proved congruent to DEF by
Answer:
ASA
Step-by-step explanation:
∠ABC ≅ ∠EDF Angle
BC ≅ DF Side
∠C ≅ ∠F Angle
سا (a) From the definition of derivatives determine dy÷dx if y = -2÷x
Step-by-step explanation:
Given: [tex]y = -\dfrac{2}{x}[/tex]
Derivative of a power function [tex]x^n[/tex]:
[tex]\dfrac{d}{dx}(x^n) = nx^{n-1}[/tex]
Therefore,
[tex]\dfrac{dy}{dx}=-2(-1)x^{-2} = \dfrac{2}{x^2}[/tex]
Which answers describe the shape below? Check all that apply.
A. Square
B. Quadrilateral
C. Rhombus
D. Trapezoid
E. Rectangle
F. Parallelogram
Answer:
b and f
Step-by-step explanation:
if x can be divide by 7 and 9 without leaving a remainder, it can also divided by which number without leaving a remainder
Answer:
all counting numbers except one
answer it correctly:)
can anyone help me?:)
Answer:
JAR WITH MARBLES.
There's
5 Blue Marbles
3 Red Marbles
2 Yellow Marbles
Pr = No of desired outcome/No of Possible Outcomes
No of Possible Outcomes = 10.
1. Pr(yellow) = 2/10 = 1/5.
2. Pr(Red) = 3/10
3. Pr(Blue) = 5/10 = 1/2
4. Pr(Yellow and Red) = 2/10 x 3/10 = 6/100 = 3/50.
5.Pr(Blue and Red)= 5/10 x 3/10 = 15/100 = 3/20.
6.Pr( Yellow and Blue) = 2/10 x 5/10 = 10/100 = 1/10.
THE CHIPS ARE PLACED IN A JAR AND MIXED.
No of Possible Outcomes = 8.
The Numbers are 1,2,3,4,5,6,7,8.
There's
4 Even Numbers
4 Odd Numbers
1. Pr(Even) = 4/8 = 1/2
2. Pr(Odd) = 4/8 = 1/2
3. Pr(Chip with Biggest No) = 1/8.
Reason. There can only be one Number which Is the biggest amongst all. So the Probability of picking it is 1.
4.Pr(Smallest Number) = 1/8 (Same concept).
5.Pr(Prime Number)
The prime Numbers above are 2,3,5,7
Pr(Prime) = 4/8 = 1/2.
Hope this helps!.
2. Find the area of a trapezium shaped field with a base of 45m, top is 35m and with a height of 55m applying the formula for trapezium = 0.5x b+axh
Given:
Base=
Top (a) =
Height =
3. Find the area of a Parallelogram shaped field where the base measures 19m and with a h of 37m.
Applying the formula for parallelogram=bxh
Given:
Base=
Height=
pahelp po thanks
Answer:
2. 2200 m²
3. 703 m²
Step-by-step explanation:
2. Given,
Base (b) = 45m
Top (a) = 35m
Height (h) = 55m
Area = (a+b)*h/2
= (45+35)*55/2
= 85*55/2 = 2200 m²
3. Given,
Base (b) = 19m
Height (h) = 37m
Area = b*h
= 19*37
= 703 m²
(The * sign represents the multiplication sign)
Answered by GAUTHMATH
Answer:
2. area = 2200 m²
3. area = 703 m²
Step-by-step explanation:
2. Find the area of a trapezium shaped field with a base of 45m, top is 35m and with a height of 55m applying the
formula for trapezium = 0.5 * (b+a) * h
Given:
Base= 45 m
Top (a) = 35 m
Height = 55 m
area = 0.5 * (b+a) * h
area = 0.5 * (45 m + 35 m) * 55 m
area = 2200 m²
3. Find the area of a Parallelogram shaped field where the base measures 19m and with a h of 37m.
Applying the formula for parallelogram = b * h
Given:
Base= 19 m
Height= 37 m
area = b * h
area = 19 m * 37 m
area = 703 m²
Which angle is an adjacent interior angle?
Triangle L M N. Angle L is 1, angle M is 2, angle N is 3. Side M N extends to form angle 4.
1
2
3
4
Step-by-step explanation:
Triangle LNM is an adjecent interior angle
Answer:
I think it's C
Step-by-step explanation:
Let me know if it's incorrect.
find the slope and y-intercept of line 3x +y -9=0
Answer:
x-intercept(s):(3,0)
y-intercept(s):(0,9)
Step-by-step explanation: