Answer: False
Step-by-step explanation:
Hey there! 7b + 14b = 5 would equal 21b + 5 after you add 7b + 14b.
21b = 5 is false because it doesn't match with 5.
If the answer was true then it would be 5 = 5.
~I hope I helped :)~
an old movie theater
Answer: ummmmmm bow tie cinamas
Step-by-step explanation: yw:))
FInd the value of x if L, M belongs to line KM
Answer:
k
Step-by-step explanation:
k=k
What is the value of 2cos2(105⁰) − 1?
Step-by-step explanation:
-1 - root3
The value of the given expression 2cos2(105⁰) − 1 is,
⇒ - 1 - √3
What is trigonometric functions?A right-angled triangle's angle can be related to side length ratios using trigonometric functions, which are real functions in mathematics. They are extensively used in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many others.
We have to find the value of;
⇒ 2cos2(105⁰) − 1
Now, We can Plug 105° = θ
So, the expression becomes,
⇒ 2cos2θ - 1
Using the formula;
cos2θ = 1 - 2sin^2θ
We get;
⇒ 2cos2θ - 1 = 2(1-2sin^2θ) - 1
= 2 - 4sin^2θ - 1
⇒ 2cos2θ - 1 = 1 - 4sin^2θ
Now, Again plug θ = 105°
⇒ 2cos2(105°) - 1 = 1 - 4sin¹⁰⁵
⇒ 2cos2(105°) - 1 = -1 - √3
Hence, The value of the given expression is,
⇒ (-1 - √3)
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An equilateral triangle has a side length of 1.4x + 2 inches. A regular hexagon has a side length of 0.5x + 2 inches. The perimeters are equal. What is the side length of the triangle? What is the side length of the hexagon? Show your work.
Answer:
9 inches; 4.5 inches.
Step-by-step explanation:
Given the following data;
Length of sides of the equilateral triangle = 1.4x + 2 inches.
Length of sides of the hexagon = 0.5x + 2 inches.
We know that the perimeter of a hexagon is given by the formula;
P = 6 * length of sides
Substituting into the equation, we have;
P = 6*(0.5x + 2)
P = 3x + 12
Perimeter of an equilateral triangle is given by the formula;
P = 3 * length of sides
Substituting into the equation, we have;
P = 3(1.4x + 2)
P = 4.2x + 6
Since perimeter of hexagon = perimeter of equilateral triangle. Therefore;
3x + 12 = 4.2x + 6
Rearranging the equation, we have;
12 - 6 = 4.2x - 3x
6 = 1.2x
x = 6/1.2
x = 5
I. To find the length of each sides of the equilateral triangle;
Length of a side = 1.4x + 2
Substituting the value of "x" into the equation, we have;
Length of sides = 1.4*(5) + 2
Length of sides = 7 + 2
Length of sides = 9 inches.
II. To find the length of each sides of the hexagon;
Length of sides = 0.5x + 2
Substituting the value of "x" into the equation, we have;
Length of sides = 0.5*(5) + 2
Length of sides = 2.5 + 2
Length of sides = 4.5 inches.
The side length of the equilateral triangle 9 inches.
The side length of the hexagon 4.5 inches.
The side length of the equilateral triangle = 1.4x + 2
So, the perimeter = 3(1.4x + 2) = 4.2x + 6.
The side length of the hexagon = 0.5x + 2
So, the perimeter = 6(0.5x + 2) = 3x + 12.
Given tha the perimeters are equal.
So,
[tex]4.2x+6=3x+12\\4.2x-3x=12-6\\1.2x=6\\x=5[/tex]
Hence,
The side length of the equilateral triangle = 1.4x + 2 = 1.4(5) + 2 = 9
The side length of the hexagon = 0.5x + 2 = 0.5(5) + 2 = 4.5
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Solve these following equations
A.3÷25.50=
B. 8÷1.624=
C.7 ÷21.56=
D.5 ÷1.005
The manager of a grocery store has selected a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3.0 minutes. It is known that the standard deviation of the checkout time is 1 minute. Refer to Exhibit 8-2. If the confidence coefficient is reduced to .80, the standard error of the mean _____.
Answer:
The standard error of the mean remains unchanged.
Step-by-step explanation:
Given that:
The standard error (S.E) of the mean [tex]= \dfrac{\sigma}{\sqrt{n}}[/tex] with is independent of confidence coefficient.
The margin of error [tex]E = z \times S.E[/tex]
This explains the claim that as the confidence coefficient reduces, the z-value also reduces, so as the Margin of error (E) but the standard error will always remain unchanged.
i.e.
From the question;
sample size n = 100
standard deviation = 1
mean = 3.0
The standard error (S.E) of the mean [tex]= \dfrac{1}{\sqrt{100}}[/tex]
= 0.1
So, if the confidence coefficient is reduced to 0.80, the standard error of the mean remains unchanged.
Caroline buys a plant from the store that is 12 cm tall.
Every week, the plant grows 2 cm.
Let heheight of the plant and w=weeks.
Click "show your work" and complete all of the tasks in
the whiteboard
Answer:
Height in w week = 12 + 2w
Step-by-step explanation:
Given:
Height of plant = 12 cm
Rate of plant growth = 2 cm per week
Find:
Equation
Computation:
Height in w week = Height of plant + (Rate of plant growth)(Number of week)
Height in w week = 12 + (2)(w)
Height in w week = 12 + 2w
what can graphs involving constant rate be used for
A video game system and several games are sold for $580. The cost of the games is 3 times as much is a cost of the system. Find the cost of the system and the cost of the games. 
Answer:
The game system is 145, and the games cost 435.
Step-by-step explanation:
4x = 580
580/4=145
145x3=435 which is the cost of the games.
145 is the cost of the game system.
Need answer ASAP ROCKY!!
The triangle with vertices at L (-2,5), E ( 1,4), and D(2,-2) is 4 units left, 3 units up, and then reflected over the line y=4 to form the image L'E'D. Which vertex of the image is the greatest distance from the origin?
Answer:
L'(6,8)
Step-by-step explanation:
If i had to take a guess what i would is subtract 4 from each x number and add 3 to each y number and then reflect over the line y=4 so then that would give me each distance. And by the looks it seems L'(6,8) is the farthest from he origin (0,0)
Is chewing gum independent of having a cavity filled recently?
A.
B.
C.
D.
Answer:
did you figure out the answer I'm sorry they don't have a comment section on ur photo
Answer:
P(Gum) ≠ P(Gum/Cavity)
Step-by-step explanation:
Answer on Edge
I HAVE TWO QUESTIONS PLEASE PLEAAASEEE HELP!!!
Answer:
The second one is 70 for sure since 80% of 70 is 56.
The first one would just be 17r. You cannot get a number answer since time formula involves three variables and there is only 1 given variable.
Answer:
a)17 min(i am not sure)
b) 80/100 = 56/x
cross multiply
5600 = 80x
x = 5600/80
x = 70
ans 70 miles
2x + 2y = 4 -x+ 2y = 4
Answer:
x = 0, y = 2
Step-by-step explanation:
We can use substitution method to substitute 2y into 2x + 2y = 4.
-x + 2y = 4
2y = 4 + x --- Equation 1
2x + 2y = 4 --- Equation 2
Substitute Equation 1 into Equation 2:
2x + 2y = 4
2x + 4 + x = 4
3x + 4 = 4
Isolate 3x.
3x = 4-4
= 0
Find x.
x = 0 ÷ 3
x = 0
Substitute x = 0 into Equation 1:
2y = 4 + x
2y = 4 + 0
= 4
Find y.
y = 4 ÷ 2
y = 2
Which volleyball court is longer
a. gym volleyball court
b. Olympic volleyball court
c. beach volleyball court
d. concrete volleyball court
The beach volleyball court, which accomodates teams of two players to each side, is slightly larger that its traditional counterpart, measuring 16 meters (52 feet, six inches) long and eight meters (26 feet, three inches) wide.
an online store sells camping chairs for $29. if the store sells 26,578 chairs in one year. how much does the store earn in sales?
Answer:
770762
Step-by-step explanation:
Answer:
$770,762
Step-by-step explanation:
Multiply the numbers of chairs (26,578) by $29
Total $770, 762
Darren graphs the linear equations y=-2/5x+3 and 2x+5y=15. The graph look identical so he believes that the equations represent the same line. What mathematical argument can he construct to show that the two forms are equivalent?
The slope and the intercept of both lines are the same. Because of that, the lines are identical.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that Darren graphs the linear equations y=-2/5x+3 and 2x+5y=15. Write both equations in the slope-intercept form and compare.
The general form of the equation of the line is:-
y = mx + c
y=-2/5x+3
Solve the equation to form their general form.
2x+5y=15.
5y = 15 - 2x
y = ( 15 / 5 ) - 2 / 5x
On comparing the two lines it is observed that the lines are having the same slope and intercept.
Therefore, the slope and the intercept of both lines are the same. Because of that, the lines are identical.
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Liang has a goal of walking at least 18 miles. She walks at a rate of 4 miles per hour. Which inequality can liang use to find h, the number of hours she should walk in order to meet or exceed her goal
Answer:
t ≤ 4.5
Step-by-step explanation:
We are told that the goal is to walk at least 18 miles
She walks at a rate of 4 miles per hour, speed is 4mph
Required
the inequality for the time taken to walk the distance and the said speed
Step two:
we know that
speed= distance/time
time=distance/speed
substitute
time= 18/4
time= 4.5 hours
Time≤ 4.5 hours
Mac uses 3.5 liters of water with 4
lemons to make lemonade. How many
lemons are needed if Mac uses 7 liters of
water to make lemonade?
Answer:
if I'm correct, it should be 6.125. I'm sorry if I'm wrong,
Step-by-step explanation:
take 3.5 and divide it by 4, which gives you the amount for 1 lemon. times that by 7, and you get 6.125
Answer:
8 lemons
Step-by-step explanation:
7- 3.5= 3.5
Therefore we multiple 3.5 by 2.
We always do the same on the other side.
4 times 2 equals 8
7 liters of water: 8 lemons
EEEEE Pleasee help meeeee
Answer:
B
Step-by-step explanation:
÷eeeeeeeeeeeeeeeeeee
Raspberries are hannas favorite fruit. She can only buy one pins for 2.55$ how many pounds of raspberries can Hannah but for $12? Find 12 /2.55 round to nearest hundredth
Answer:
She can buy 36
Step-by-step explanation:
What is the first step to solve the following system of equations using substitution?
X-y=-1
2x-y=3
A.) Solve the first equation for x.
B.) Divide the second equation by 2.
C.) Multiply the first equation by 2.
D.) Add the two equations together.
Answer:
Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x
Thus, option A) is true.
The solution to the system of equations be:
[tex]x = 4, y = 5[/tex]
Step-by-step explanation:
It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.
Given the system of equations
[tex]x - y = -1[/tex]
[tex]2x - y = 3[/tex]
Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x
[tex]x-y=-1[/tex]
Add y to both sides
[tex]x-y+y=-1+y[/tex]
[tex]x=-1+y[/tex]
Thus, option A) is true.
NOW LET US SOLVE THE REMAINING PORTION
[tex]\mathrm{Subsititute\:}x=-1+y[/tex] to solve for y
[tex]\begin{bmatrix}2\left(-1+y\right)-y=3\end{bmatrix}[/tex]
[tex]-2+y=3[/tex]
[tex]y=5[/tex]
For x = -1 + y
substitute y = 5
[tex]x=-1+5[/tex]
[tex]x=4[/tex]
Thus, the solution to the system of equations be:
[tex]x = 4, y = 5[/tex]
Use compatible numbers to estimate the quotient.
522 divided by 6 please help!!!
Marta used a coupon to save $3.50 on a book she bought. when marta bought the book,she gave the Clark a $20.00 bill,and the coupon.the sales gave Marta $9.01 in change.
Answer: OMG MY HERO ACADEMIA I LOVE YOUR PROFILE PICTURE!!!!!!!!!
Step-by-step explanation: Thanks for the points!!!! :)
Carpet costs $7.84 per yard. What is the cost of 21.5 yards?
Answer:
$168.56
Step-by-step explanation:
Answer:168.56
Step-by-step explanation:
PLS I NEED TO FINISH THIS PLS HELP
find the slope of the line please help!
help asap plspls!! :)
Answer:
1/6
Step-by-step explanation:
1/3 ÷ 2 = 1/6
All you do is multiply the denominator by 2. This sounds incorrect, but my making the denominator lager it actually is shrinking the fraction and ultimately making it smaller than before.
Answer:
1/3÷2=1/6
Result in decimals: 0.16666666666667
Assuming all model requirements for conducting the appropriate procedure have been​ satisfied, is the mean IQ of the students in the​ professor's statistics class higher than that of the general​ population, 100? Explain what statistical procedure should be used for this research objective.
Answer:
Step-by-step explanation:
The right statistical procedure is by applying a hypothesis test that uses a single mean. Here, if we are to talk about comparison, it should be between the mean IQ of the students in the class and the national average IQ. The class is not for a comparison between two population means because it is viewed as the sample of the population. That is to say, the required task is to determine if the sample mean is greater than the population mean. We can conclude that this obeys a hypothesis test rather than a confidence interval.
Pedro bought two cars, one for ₱600,000.00 and the other for ₱400,000.00. He sold the former at a gain of 10% and the latter at a loss of 12%. What percentage of the total investment was his gain or loss?
Answer:
Pedro had a gain of 1.2%
Step-by-step explanation:
Percentages
Pedro bought two cars. One for $600,000 and the other for $400,000.
He sold the first car at a 10% profit. Thus the gain was:
$600,000 * 10 / 100 = $60,000
He sold the other car at a 12% loss. Thus the loss was:
$400,000 * 12 / 100 = $48,000
The total gain or loss was $60,000 - $48,000 = $12,000
Since it's positive, the total balance is at gain.
The total investment was $600,000 + $400,000 = $1,000,000
The total gain is a percentage of the total investment of:
$12,000 / $1,000,000 * 100 = 1.2%
Pedro had a gain of 1.2%
The diameter of a cookie is 2 inches. If \piπ = 3.14, what is the area of the cookie, rounded to the nearest tenth?
Answer:
6.28 or 7
Step-by-step explanation:
you have to time pie x inches
pie x inches
3.14 x 2
=6.28 rounded up 7