Where are you most likely to build up enough static charge to receive a shock? O A. In a rain forest B. On a concrete sidewalk on a dry day O c. On a nylon carpet in a dry area O d. On a nylon carpet in a hotel by the beach
Answers
Where are you most likely to build up enough static charge to receive a shock?
The correct answer is option C on a nylon carpet in a dry area
Explanation:
As nylon is a good conductor of electricity, the static electricity accumulatedin the body does ntot flow to the ground. Also, when we touch a metal object directly connected to the ground, a difference in electric charges creates a static electric discharge.iAs a reult ,we receive a shock.
Related Questions
Which facts are true for the graph of the function below? Check all that apply.F(x) = log8x
Answers
EXPLANATION
Given the function f(x) = log_8 x.
The facts that apply are:
B. The x-intercept is (1,0)
F. It is increasing.
Find the quotient. Write your answer in standard form. 3+ O A. + COLO O B.-1 O C. 1-1 OD. llo 011
Answers
Option A is correct.
The given complex number is
[tex]\frac{3+i}{3-i}[/tex]Multiply the numerator and denominator by 3+i and solve as follows:
[tex]\begin{gathered} \frac{3+i}{3-1}\times\frac{3+i}{3-i}=\frac{(3+i)^2}{3^2-i^2} \\ =\frac{3^2+i^2+6i}{9+1} \\ =\frac{9-1+6i}{10} \\ =\frac{8+6i}{10} \\ =\frac{8}{10}+\frac{6}{10}i \\ =\frac{4}{5}+\frac{3}{5}i \end{gathered}[/tex]Frankie is saving for a new game system that costs $499. His savings account currently holds $150. He plans to deposit $10 a week into the savings account until he has enough to buy the game system.
In how many weeks will Frankie be able to purchase the game system?
Answers
Answer:
35 weeks
Step-by-step explanation:
If Frankie already has $150 in his bank account, we can subtract it from the cost of the game.
$499 - $150 = $349
Now we can begin to solve for the number of weeks it will take for Frankie to purchase the game system.
If he needs $349, and he adds $10 every week,
10 weeks would give him $100
5 weeks would give him $50
$100 + $100 + $100 + $50 = $350
10 + 10 + 10 + 5 = 35
It would take Frankie 35 weeks to be able to buy the game system.
14. The measure of one side of an equilateral triangle is (s+6) inches long. Write 2 different, equivalent
expressions to represent the perimeter of the triangle.
Answers
Perimeter of the equilateral triangle = 3(s + 6) inches
Perimeter of the equilateral triangle = 3s + 18 inches
Explanation:Given:
One of the sides of an equilateral triangle = (s + 6)
To find:
2 different equivalent expressions that represent the perimeter of the triangle
To determine the expression, we need to apply the formula for the perimeter of an equilateral triangle
[tex]\begin{gathered} Perimeter\text{ of equilateral triangle = sum of all 3 sides} \\ since\text{ all sides of an equilateral triangle are equal,} \\ Perimeter\text{ = 3}\times\text{ one of the side} \end{gathered}[/tex][tex]\begin{gathered} one\text{ of the side = s + 6} \\ \\ Perimter\text{ = 3 }\times(s\text{ + 6\rparen} \\ Perimeter\text{ of the equilateral triangle = 3\lparen s + 6\rparen inches} \end{gathered}[/tex]Another expression for the perimeter:
[tex]\begin{gathered} Perimeter\text{ = 3\lparen s + 6\rparen} \\ Expanding\text{ the parenthesis using distributive property:} \\ Perimeter\text{ = 3\lparen s\rparen + 3\lparen6\rparen} \\ Perimeter\text{ of the equilateral triangle = 3s + 18 inches} \end{gathered}[/tex]Hello can you help me with this. 4/10 = 1/X. it for a Recipe for Salt
Answers
We solve it as follows:
[tex]\frac{4}{10}=\frac{1}{x}\Rightarrow x=\frac{1\cdot10}{4}\Rightarrow x=\frac{5}{2}[/tex]So, the value of x is 5/2.
-5+(-7) I have done this a d can't figure it out
Answers
Explanation:
The expression: -5+(-7)
Answer:
Step-by-step explanation:
1. Since we know that an addition sign and a negative sign will make a negative sign, we simply have to do -5-7.
2. The answer is -12.
Tom and his three friends went out to eat Their total was $65.45. The tax rate is 8% and they tipped the waitress 20% What was the total price of their how much should each person pay? Show your work.
Answers
Total: $65.45
----------------------
Tax rate: 8%
[tex]65.45\cdot\frac{8}{1000}=5.236[/tex]The tax is: $5.236
------------------------
Tip: 20%
[tex]65.45\cdot\frac{20}{100}=13.09[/tex]Tip: $13.09
---------------------------
Total price(Tp)= Total + The tax +Tip
[tex]Tp=65.45+5.236+13.09=83.776[/tex]The total price is: $83.776
---------------------------
There were four people so the total price is divided into those 4:
[tex]\frac{83.776}{4}=20.944[/tex]Each person should pay: $20.944
What is the value of y in this simplified expression?11-4= 119118
Answers
Solve for 3+y/2=-212
Answers
You have the following equation:
[tex]3+\frac{y}{2}=-212[/tex]In order to solve the previous equation for y, proceed as follow:
3 + y/2 = -212 subtract 3 both sides
y/2 = -212 - 3 simplify right side
y/2 = -215 multiply by 2 both sides to cancel the denominator left side
y = -215(2)
y = -430
Hence, the solution for y in the given equation is y = -430
Solve the expression for x = -2.2x + 4[x - 2(3 + x)]
Answers
ANSWER
[tex]-20[/tex]EXPLANATION
To solve the expression for x = -2, substitute -2 for x in the expression and simplify:
[tex]2x+4\mleft\lbrace x-2(3+x)_{}\mright\rbrace[/tex]That is:
[tex]\begin{gathered} 2(-2)+4\mleft\lbrace-2-2(3+(-2))\mright\rbrace \\ -4+4\mleft\lbrace-2-2(3-2)\mright\rbrace \\ -4+4\mleft\lbrace-2-2(1)\mright\rbrace \\ -4+4\mleft\lbrace-2-2\mright\rbrace \\ -4+4\mleft\lbrace-4\mright\rbrace \\ -4-16 \\ -20 \end{gathered}[/tex]That is the solution of the expression for x = -2.
Question 2 Find the missing number that makes the expression a perfect square. a. r2 x +16 b. x2 + X – 25
Answers
(a)
Given data:
The given expression is x^2 -.......x +16.
The first expression can be written as,
[tex]\begin{gathered} x^2-.\ldots..x+16=x^2-2(x)(4)+(4)^2 \\ =x^2-8x+16 \\ =(x-4)^2 \end{gathered}[/tex]Thus, the unknown value is 8.
Write the equation of the trigonometric graph. Try fractional values or __ for the box next to x.
Answers
Given:
Here a graph of cos function is given in the question.
Required:
We need to find the blank boxes.
Explanation:
First of all start with amplitude of graph
so here the height of graph is 1 so amplitude is 1
now to find the last box we need middle line of graph which is 0
now to find the coefficient x in terms of pi
for this the period of graph is 2
here the period of cosx is 2*pi and here also period is 2 so in the box of coefficient we put pi
now out final equation is
Final answer:
[tex]\begin{gathered} y=1\cos\pi x+0 \\ y=\cos\pi x \end{gathered}[/tex]____years will be spent on working and ___years will be spent on eating food
Answers
In the graph, we can see the following:
We know that a person will devote 28 years working and eating from the word problem. Also, the number of years working will exceed the number of years eating by 20. Then, we have:
[tex]\begin{gathered} \text{Number of years working }+\text{Number of years eating }=28 \\ 24+4=28 \end{gathered}[/tex]Therefore, a person will be spent 24 years working and 4 years eating food.
How to complete a square for an expression then factor the trinomial
Answers
SOLUTION
We want to complete the square for the expression
[tex]x^2+20x[/tex]So we need to find what must be added to the expression to make it a perfect square.
We can use the formula
[tex]undefined[/tex]A house was valued at $302,000. over several years, the value increased by 9% given the house in new value.
Answers
It is given that a house was valued at $302,000.
Let old value =$302,000.
Over several years, the value increased by 9%.
New value=9 % of old value+old value
[tex]\text{New value=}\frac{9}{100}\times302000+302000[/tex][tex]\text{New value=}\frac{9}{100}\times302000+(1)\times302000[/tex]Taking out 302000 as common, we get
[tex]\text{New value=(}\frac{9}{100}+1)\times302000[/tex][tex]\text{Use }\frac{\text{9}}{100}=0.09,\text{ we get}[/tex][tex]\text{New value=(0.09+1)}\times302000[/tex][tex]A\text{dding 1 and 0.09 , we get 1+0.09=1.09}[/tex][tex]\text{New value=1.09}\times302000[/tex][tex]\text{New value=\$}329180[/tex]Hence the new value of the house is $329180.
The following data are the final exams scored on the 13th student in a small calculus class
Answers
The following data set for the final exam score in a calculus class
(a) The data set represents a sample data
(b) Range
[tex]\begin{gathered} \text{Range = Highest mark - Lowest mark} \\ \text{Range = 98-60} \\ \text{Range = 38} \end{gathered}[/tex](c) Variance
[tex]\text{Variance = }\frac{\sum ^{}_{}(x-\bar{x})^2}{n}=\frac{2796.36}{13}=215.105[/tex](d) Standard Deviation
[tex]\begin{gathered} S\mathrm{}D\text{ = }\sqrt[]{variance} \\ S\mathrm{}D\text{ = }\sqrt[]{215.105} \\ S\mathrm{}D\text{ = }14.666 \end{gathered}[/tex]I don't know how to shade for the 2nd one please help
Answers
Answer: Your result (without simplifying) is actually 2/36, so you would shade two boxes out of the 36 shown.
NOTE: For problem #19, you have 6 boxes for shading, so each box represents 3 increments (3x6=18 boxes). For your result of 5/18, you should only shade the first box and 2/3 of the next box (the other four boxes should be unshaded).
Hope this helps!
Step-by-step explanation:
Help me please . And have a good day :D
Answers
Correct option is A, 0 to 0.25
and E, 15 to 20.
Given:
a data of f(x) and g(x) corresponding to the values of x is given.
Find:
we have to find the interval in ehich g(x) grows faster than f(x).
Explanation:
from the given data, it is clear that g(x) growing faster than f(
What is the distance from A to B given
Answers
Using the triangle sum theorem, we can conclude:
[tex]\begin{gathered} m\angle A+m\angle B+m\angle C=180 \\ 40+m\angle B+50=180 \\ so\colon \\ m\angle B=180-50-40 \\ m\angle B=180-90 \\ m\angle B=90 \end{gathered}[/tex]Now, we can use the law of sines in order to find AB:
[tex]\begin{gathered} \frac{AB}{\sin(C)}=\frac{AC}{\sin (B)} \\ solve_{\text{ }}for_{\text{ }}AB\colon_{} \\ AB=\frac{\sin (C)\cdot AC}{\sin (B)} \\ AB=\frac{\sin (50)\cdot100}{\sin (90)} \\ AB=76.60444431ft \end{gathered}[/tex]base: 5 ft 5 area: 5-ft?
Answers
area of the triangle is
[tex]A=\frac{1}{2}bh[/tex]then solve for h:
[tex]\begin{gathered} 5\frac{5}{6}=\frac{1}{2}(5)h \\ \frac{35}{6}=\frac{5}{2}h \\ \frac{35}{6}\times\frac{2}{5}=\frac{5}{2}\times\frac{2}{5}h \\ h=\frac{70}{30}=\frac{7}{3} \\ h=2\frac{1}{3} \end{gathered}[/tex]answer: h = 2 1/3
Need help with this math homework has a couple steps just need someone to guide me through itConstruct the line that is perpendicular to the directrix and passes through the focus this line will be the axis of symmetry of the para bola what are the coordinates of the point of intersection A of the access of symmetry and the directrix of the para bola explain how you can locate the vertex V of the para bola with the given focus and directrix write the coordinates of the vertex When done which way were the para bola open and can you find the value of P is it positive or negative write the equation of the parabola in vertex form
Answers
Part A)
The equation of the directrix is x=-5+8=3, x=3
Part B)
After using 'Perpendicular line' tool and 'Intersect' tool, we obtain the purple line and point A. A=(3,2)
The vertex V has to be on the axis of symmetry, halfway between points A and F. Vertex is V=(-1,2)
Part 3)
The focus is to the left of the vertex; therefore, the parabola opens to the left.
In general,
[tex]\begin{gathered} Vertex:\left(h,k\right) \\ Focus:\left(h+p,k\right) \end{gathered}[/tex]Then, in our case,
[tex]\begin{gathered} \Rightarrow\left(h,k\right)=\left(-1,2\right) \\ and \\ \left(h+p,k\right)=\left(-5,2\right) \end{gathered}[/tex]Thus, p=-4
Finding the equation in vertex form,
[tex]\begin{gathered} x=\frac{1}{4*-4}\left(y-2\right)^2-1 \\ \Rightarrow x=-\frac{1}{16}\left(y-2\right)^2-1 \end{gathered}[/tex]The answer is x=-(y-2)^2/16-1
If you place these marbles in a bag,close your eyes, and choose a marble,what is the probability that it will beblue?Simplify the fraction.Enter the number that belongs in the green box.
Answers
The following information below can be obtained from the image;
Blue Marbles: 6
Red Marbles: 5
Yellow Marbles: 3
Total marbles = 14
The probability of an event, E, is given as:
[tex]\begin{gathered} Pr(E)\text{ = }\frac{number\text{ of favourable outomes}}{number\text{ of sample space}} \\ \text{Thus, the probability of of choosing a blue marble is;} \\ Pr(\text{choosing a blue marble)=}\frac{number\text{ of blue marbles}}{number\text{ of total marbles}} \\ Pr(choo\sin g\text{ a blue marble) = }\frac{6}{14} \\ \text{In simplified form;} \\ Pr(\text{choosing a blue marble)=}\frac{3}{7} \end{gathered}[/tex]Hence, the number that belongs in the green box is 3
Identify the independent and dependent variables for each relation below.1. "The more hours Maribel works at her job, the larger her paycheck becomes."Independent Variable =Dependent Variable =1. "Increasing the price of an itpunt of people willing to buy it."hours workedIndependent Variable =size of paycheckDependent Variable =
Answers
First relation.
Independent variable: Hours worked.
Dependent variable: Size of paycheck
Second relation:
Independent variable: Price of an item
Dependent variable: Number of people willing to buy.
Now, this comes from the fact the the independent variable can be change witho
all (5) on ONE Coordinate Plane & LABEL EACH LINE WITH THE EQUATION: 1.) x = 2 2.) y = 2 3.) y = -1/3 x + 3 (Use Slope Int. Method Make apparent your Int. Point AND the point from your slope = RISE/RUN) 4.) y = 1/2 x-5 (Use Slope Int. Method Make apparent your Int. Point AND the point from your slope = RISE/RUN) 5.) y = -5/4 x + 10 (Use Slope Int. Method Make apparent your Int. Point AND the point from your slope = RISE/RUN)
Answers
The graph of y = - 1/3x + 3 is shown in the photo below
The graph of 1/2x - 5 is shown in the photo below
The graph of y = - 5/x + 10 is shown in the attached photo below
л IX +6 ІІ 2 someone please help
Answers
Given,
[tex]\frac{x}{5}+6=2[/tex]This can be further solved as, by multiplying with 5 on all the terms,
[tex]x+30=10[/tex]Thus x can be calculated as
[tex]undefined[/tex]Solve the following Equation:-5k=12
Answers
k = -2.4
Explanation:[tex]-5k\text{ = 12}[/tex]Divide both sides by -5:
[tex]\begin{gathered} \frac{-5k}{-5}=\frac{12}{-5} \\ \end{gathered}[/tex]Division of same sign gives positive number. Division of opposite signs give negative number.
[tex]\begin{gathered} k\text{ = -12/5} \\ k\text{ = -2.4} \end{gathered}[/tex]The table shows the number of apples and the total weight of the apples,number of applesweight of apples (grams)2120052016Estimate the weight of 6 apples.Type the answer in the box below.6 apples would weigh aboutgrams
Answers
2 apples 511 gr
5 apples 1200 gr
8 apples 2016 gr
weight / apples
511 / 2 = x / 6
x = weight of 6 apples
Cross multiply:
6 * 511 = 2 x
3066 = 2x
Divide both sides by 2
3066 / 2 = 2x/ 2
1533 = x
x= 1533
Same with the other rows:
1200/5 = x/6
6*1200 = 5x
7200 = 5x
7200/5= x
x= 1440
2016/8 = x/ 6
6*2016 = 8x
12,096 = 8x
12096/8= x
x = 1512
Average of three results: ( 1533 + 1440 + 1512 )/ 3 = 1495
6 apples would weigh about 1495 grams
You have quarters and dimes that total $2.80 your friend says it is possible that the number of quarters is 8 than the number of dimes. Is your friend correct? Let d represent the number of dimes. An equation that models this situation is ____ = 2.80
Answers
If d is the amount of dimes and the number of quarters is 8 times the number of dimes, then, you have 8d number of quarters.
Moreover, due to the total amount of money is $2.80, then, you have the following expression:
d + 8d = 2.80 simplify like terms left side
9d = 2.80
Hence, the equation is 9d = 2.80
To determine if your friend is correct, solve the equation for d by dividing by 9 both sides:
d = 2.80/9 =
1) What is the greatest common factor (GCF) of 9 and 27? 1 3 9 27
Answers
GCF = 9
Explanations:To find the Greatest Common Factors of 9 and 27:
Step 1: Find the factors of 9 and 27
Factors of 9 = 1, 3, 9
Factors of 27 = 1, 3, 9, 27
Step 2: Find the Common Factors of 9 and 27
That is, the factors that are common to both 9 and 27
Common Factors of 9 and 27 = 1, 3, 9
Step 3: Find the Greatest Common Factor
The Greatest Common Factor (GCF) is the greatest of all the common factors in step 2
Greatest Common Factor = 9
2 Which function represents a translation of the graph of 1 = x by 8 units to the right? O A. V=(x-8) O B. v = (x+8) O c. v=872 =x2+8
Answers
Given function is,
[tex]y=x^2[/tex]For the function
[tex]y=f(x)[/tex]If we shift the graph b units to the right, the new function is
[tex]y=f(x-b)[/tex]Now, if we shift the graph of the given function 8 units to the right, the equation is
[tex]y=(x-8)^2[/tex]Hence, the correct option is (A)