Answer:
3.
[tex]volume \ of \ cone = \frac{1}{3}\pi r^2h = \frac{1}{3}*3.14*6*6*15 = 3.14*36*5 = 565.2cm^3[/tex]
4.
[tex]volume \ of \ cone = \frac{1}{3}\pi r^2 h = \frac{1}{3} *3.14* 12*12*20 = 3.14*12*4*20 = 3014.4cm^3[/tex]
5.
[tex]volume \ of \ sphere = \frac{4}{3} \pi r^3 = \frac{4}{3}*3.14 * 3*3*3* = 4*3.14*9 = 113.0cm^3[/tex]
6.
[tex]diameter = 13cm\\\\radius = 6.5cm\\\\volume \ of \ sphere = \frac{4}{3} \pi r^3= \frac{4}{3} *3.14*6.5*6.5*6.5 = 1149.8cm^3[/tex]
Calculate the total amount paid for a stock if you purchased 350 shares of the stock at $21.50 per share
the broker's commission is $40 + $0.20/ share
O $7595
O $7635
0 $7525
O $7000
Answer:
7635
Step-by-step explanation:
350(.2+21.5)+40=7635
Answer:
7525
Step-by-step explanation:
you have to multiply
PLssssssssssssssssssssss help.
Jayda takes her dog Rolo to obedience training once each week. Jayda bought a box of 96 dog treats and split them evenly into b bags. Each bag contains 16 treats.
Write an equation to describe this situation.
How many dog bags of treats does Jayda have?
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
16 yd
Step-by-step explanation:
If a is missing, then use the square root of c^2-b^2. In this case that means you find the square root of 20^2-12^2. 20^2 is 400, and 12^2 is 144. When you subtract 144 from 400 you get 256. The square root of 256 is 16. I hope this helps :)
Answer:
16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Leg a = a
Leg b = 12
Hypotenuse c = 20
Step 2: Solve for a
Substitute in variables [Pythagorean Theorem]: a² + 12² = 20²Evaluate exponents: a² + 144 = 400[Subtraction Property of Equality] Isolate a term: a² = 256[Equality Property] Square root both sides: a = 16Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?
(one-half, seven-quarters)
(one-half, three-halves)
(1, 1)
(1, 3)
Answer:
[tex]Vertex = (\frac{1}{2},\frac{7}{4})[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2 - x +2[/tex]
Required
The vertex
We have:
[tex]f(x) = x^2 - x +2[/tex]
First, we express the equation as:
[tex]f(x) = a(x - h)^2 +k[/tex]
Where
[tex]Vertex = (h,k)[/tex]
So, we have:
[tex]f(x) = x^2 - x +2[/tex]
--------------------------------------------
Take the coefficient of x: -1
Divide by 2: (-1/2)
Square: (-1/2)^2
Add and subtract this to the equation
--------------------------------------------
[tex]f(x) = x^2 - x +2[/tex]
[tex]f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2[/tex]
[tex]f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}[/tex]
Expand
[tex]f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}[/tex]
Factorize
[tex]f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}[/tex]
Factor out x - 1/2
[tex]f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}[/tex]
[tex]f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}[/tex]
[tex]f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}[/tex]
[tex]f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}[/tex]
Compare to: [tex]f(x) = a(x - h)^2 +k[/tex]
[tex]h = \frac{1}{2}[/tex]
[tex]k = \frac{7}{4}[/tex]
Hence:
[tex]Vertex = (\frac{1}{2},\frac{7}{4})[/tex]
Question: Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?
Answer: A or 1/2 , 7/4
Step-by-step explanation:
did it on an assignment on EDGE
Follow this link to view Jamie’s work. Critique Jamie’s work by explaining the reasonableness of the scenario and the accuracy of the two parts of the graph he described . For any portion of Jamie’s response in which he has made an error, provide and explain an alternative response.
To enhance Jamie’s explanation, describe both sections of the piecewise function using linear equations. Include any limits to the domain.
The given graph is an illustration of a piece wise linear equation.
Jamie correctly described what the graph could be used for (a relay race)Jamie wrongly described the axes of the graph, in both sectionsThe piece wise function is: [tex]y = \left \{ {{\frac 1{12}x. \ 0 \le x \le 12} \atop {\frac 18x + \frac 12, \ 12 < x \le 20}} \right.[/tex]See attachment for the graph and Jamie's work
From the graph, we have:
[tex]x \to[/tex] Time (minutes)
[tex]y \to[/tex] Distance (miles)
(a) When the runner begins the race
From the graph, we have:
[tex]x \to [0,12][/tex]
[tex]y \to [0,1][/tex]
This means that the runner runs a distance of 1 mile in 12 minutes
So; Jamie's description here is wrong because he misrepresented the axes.
The equation of this part of the is calculated as follows:
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{1-0}{12-0}[/tex]
[tex]m = \frac{1}{12}[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = \frac{1}{12}(x - 0) + 0[/tex]
[tex]y = \frac{1}{12}x[/tex]
(b) When his partner takes over
From the graph, we have:
[tex]x \to (12,20][/tex]
[tex]y \to (1,2][/tex]
This means that his partner runs a distance of 1 mile in 8 minutes
So; Jamie's description here is also wrong because he misrepresented the axes, again.
The equation of this part of the is calculated as follows:
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2-1}{20-12}[/tex]
[tex]m = \frac{1}{8}[/tex]
The equation is then calculated using:
[tex]y = m(x- x_1) + y_1[/tex]
[tex]y = \frac{1}{8}(x - 12) + 1[/tex]
[tex]y = \frac{1}{8}x - 1.5 + 1[/tex]
[tex]y = \frac{1}{8}x -0.5[/tex]
[tex]y = \frac{1}{8}x -\frac 12[/tex]
Hence, the piece wise function can be represented as:
[tex]y = \left \{ {{\frac 1{12}x. \ 0 \le x \le 12} \atop {\frac 18x + \frac 12, \ 12 < x \le 20}} \right.[/tex]
Read more about piece wise equations at:
https://brainly.com/question/14590682
Find the surface area of the rectangular prism
The recommended adequate intake (RAI) of calcium for adults is 1000 mg. per day. To investigate the calcium intake of people living below the poverty level, a researcher obtained a random sample of 18 adults below the poverty level and found a mean daily calcium intake of 947.4 mg.
Required:
a. Determine the margin of error
b. Find 95% confidence interval fo rthe population mean
c. Interpret the confidence inteval. ( explain what it tells us about the estimated mean daily camlium intake for the population).
Answer:
93.50
(853.90 ; 1040.90)
Step-by-step explanation:
Mean, xbar = 947.4 mg
Sample size, n = 18
σ = 188
Margin of Error :
Tcritical * σ/√n
TCritical at 95% , df = n - 1 = 17 = 2.11
Margin of Error = 2.11 * 188/√18 = 93.50
The 95%, confidence interval :
Xbar ±Margin of error
Lower boundary = Xbar - margin of error
Lower boundary = 947.4 - 93.50 = 853.90
Upper boundary = Xbar + margin of error
Lower boundary = 947.4 + 93.50 = 1040.90
(853.90 ; 1040.90)
What is the product?
4
-2
1
6
7
30
Answer:
-2
Step-by-step explanation:
Plssss help I’ll mark u brainliest!!!
Answer:
The answer to the question is C
how many cubic units are there in one layer
Answer:
24 cubic units
Step-by-step explanation:
In the figures above it has 24 cubic units in one layer and it has 8 layers. If you are going to count the total number of cubic units the figure it has 192 cubic units which represent the volume of this figure. If you can still remember that volume of rectangular prism is the productvof its length width and height.
mark me as brainlest
What is the equation of a line that passes through (-2, 4) and has a slope of 3?
Equation,
[tex]y - y1 = m(x - x1)[/tex]
Plugging in our values,
[tex]x1 = - 2, \: y1 = 4, \: m = 3[/tex]
[tex]y - 4 = 3(x - ( - 2))[/tex]
[tex]y - 4 = 3(x + 2)[/tex]
So the equation is,
[tex]y - 4 = 3(x + 2)[/tex]
faster pleasee very easy
Answer:
inch leanth of his room.
eeeeeeeeeeeeeeeeeeeeeeehhhheelllllllpppppppppp
Answer:
2/3
Step-by-step explanation:
My brain is too big
Answer:
2/3
Step-by-step explanation:
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
According to hypotenuse
39²+b²=65²
b²=65²-39²
b²=4225-1521
b=√2,704
b=52 km
Find the circumference of a circle with a radius of 13.5 mm.
Answer:
84.82
Step-by-step explanation:
Answer: 84.82
Step-by-step explanation:
Can anybody help me out on this? Thanks.
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
Given
[tex]y = -2x^2 + 12x +7[/tex]
Required
The x coordinate of the vertex
Using the general form:
[tex]y = ax^2 +bx +c[/tex]
The x coordinate is:
[tex]x = -\frac{b}{2a}[/tex]
In [tex]y = -2x^2 + 12x +7[/tex]
[tex]a = -2[/tex]
[tex]b = 12[/tex]
[tex]c = 7[/tex]
So, we have:
[tex]x = -\frac{b}{2a}[/tex]
[tex]x = -\frac{12}{2*-2}[/tex]
[tex]x = -\frac{12}{-4}[/tex]
[tex]x = \frac{12}{4}[/tex]
[tex]x = 3[/tex]
A bag contains 5 red marbles, 6 blue marbles and 9 yellow marbles.
What is the probability of picking out a red marble, putting in back in the bag, and then picking out a yellow marble?
What is the probability of picking out a blue marble, putting it in your pocket, and picking out another blue marble?
Answer:
Step-by-step explanation:
The total number of marbles is 20
Question A
P(Red) = 4/20 = 1/5
P(yellow) = 9/20
P(Red then Yellow) = 1/5 * 9/20 = 9 / 100
Question B
P(B) = 6/20
P(B again) = 5/19 because you have 1 less total plus 1 less blue.
P(B and B) = 6/20 * 5/19
P(B and B) = 30/ 380 = 3/38
Which of the following equations have the same solution as 3x - 5 = 5x + 11
Answer:
x = -8 Hope that helps bye!
Step-by-step explanation:
1. Subtract 3x from both side -5=5x+11-3x
2. Simplify 5x+11-3x= 2x+11
3. Subtract 11 from both sides -5-11=2x
4. Simplify -5-11= -16=2x
5. Divide both sides by 2 -16/2=x
4. Simplify 16/2 = -8 = x
5. Switch sides x= -8 would be your answer and if you want to check it just do 3x-5=5x+11 let x=-8 1. 3×-8-5=5×-8+11
2. 3×-8= -24 do -24-5=5×-8+11
3. Simplify 5×-8= -40 do -24-5=-40+11
4. Simplify -24-5= -29 do -29= -40+11=-29
-29=-29 this shows that x= -8 is your answer if you want to see if I'm right.
Assuming the population is normally distributed, find the probability P(x>4.5) given the mean is 6 and the standard deviation is 0.7
Answer:
[tex]P(x > 4.5)= 0.983943[/tex]
Step-by-step explanation:
Given
[tex]\mu = 6[/tex]
[tex]\sigma = 0.7[/tex]
Required
[tex]P(x > 4.5)[/tex]
Start by calculating the z score
[tex]z = \frac{x - \mu}{\sigma}[/tex]
So:
[tex]z = \frac{4.5 - 6}{0.7}[/tex]
[tex]z = \frac{-1.5}{0.7}[/tex]
[tex]z = -2.143[/tex]
So, we have:
[tex]P(x > 4.5)= 1 - P(x < 4.5)[/tex]
This gives:
[tex]P(x > 4.5)= 1 - P(x < z)[/tex]
[tex]P(x > 4.5)= 1 - P(x < -2.143)[/tex]
Using the z score probability table, we have:
[tex]P(x > 4.5)= 1 - 0.016057[/tex]
[tex]P(x > 4.5)= 0.983943[/tex]
PLEASE HELPPP NEED THIS ANSWER BY TONIGHT!!
Answer:
(8, -1)
Step-by-step explanation:
The midpoint given two points (x1, y1) and (x2, y2) is:
([x1 + x2] / 2, [y1 + y2] / 2)
We have the point (x1, y1) as (-8, -7) and the midpoint as (0, -4). We can plug them in and create two equations, one to find x2, and another for y2.
0= [-8 + x2] / 2
0 = -8 + x2
x2 = 8
-4 = [-7 + y2] / 2
-8 = -7 + y2
y2 = -1
Therefore, point B is (8, -1)
love yall again thx for the help
Answer :
Cost of running shoes = $92
Cost of total expenditure = $122
It is given that the four pairs of socks cost the same so if we let the cost of one pair of socks as s then 4 pairs of socks will cost us $ 4s
Thus the equation formed will be ,
4s + 92 = 122Option D is the correct answer
Help please
2) The table below represents a linear function.
Find the missing value.
A) 4.2
B) 4.4
C) 4.6
D) 4.8
E) 5.0
Answer:
C. 4.6
Step-by-step explanation:
If you subtract 3.0 from 1.4 you get 1.6, which is the can be added to 3.0 to find the missing value.
Que sucede cuando dividimos un numero entre si mismo
Answer:
no pasa nada
Step-by-step explanation:
espero que eso te ayude:)
Answer:
Cualquier número dividido entre si mismo da como resultado 1
Write the expression 53.7124 x 10 x 3 as a single number.
Answer:
The aswer is buy a rabbit
Step-by-step explanation:
Answer:
1611.372
Step-by-step explanation:
Plz help It’s important
Answer:
do 24 points i know it very well
A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail. A 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)
Required:
Construct a 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail.
Answer:
The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.
This means that [tex]n = 603, \pi = \frac{142}{603} = 0.2355[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694[/tex]
The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).
What is the slope of the graph shown below?
A. -2
B. 2
C. -5
D. 5
Name the three labeled segments that are parallel to EF
Answer:
Answer D
Step-by-step explanation:
The answer here is D since all of the other ones have at least one option that is perpendicular to segment EF.
need help plz help me out i have a bad grade rn
Answer:
I only know the second part sorry
9.35
Step-by-step explanation:
3(9)÷4+2.6=
27÷4+2.6=
6.75+2.6=
9.35