6,684 feet write in as an integer is 6,684.
The square root of 6684 is 81.7557337439
The cube root of 6684 is 18.8370177527
The integers form the littlest group and the smallest ring containing the natural numbers. In irrational number theory, the integers are sometimes qualified as rational integers to differentiate them from the more general algebraic integers. In fact, (rational) integers are algebraic integers that also are rational numbers.An integer is that the number zero, a positive number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.integer, whole-valued positive or negative number or 0. The integers are generated from the set of counting numbers 1, 2, 3,… and therefore the operation of subtraction. When a counting number is subtracted from itself, the result's zero; for example, 4 − 4 = 0.
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The price of an item yesterday was 85 . Today, the price rose to 136. Find the percentage increase.
Answer:
60% increase
Step-by-step explanation:
First: subtract your final value by your starting value
136 - 85 = 51
Second: divide your product from the first step by your starting value
51 ÷ 85 = 0.6
Third: multiply your product from the second step by 100
0.6 x 100 = 60
what is 2 1/3+ 5 5/16+ 2/7
Answer: 7.93
Step-by-step explanation: I am not sure if this is correct but I really hope it helps.
At a local drive-thru restaurant, 3 out of every 8 drinks sold are diet drinks. If the restaurant sells 4,200 drinks in one month, how many would be diet drinks?
Answer:
1575
Step-by-step explanation:
3/8 as a decimal is .375. Multiply 4200 by .375 to get your answer.
Add 7 x 10−6 and 2.1 x 10−5.
Answer:
Step-by-step explanation:
84.5
Helppppppp pls i will give brain list
Answer: three seven and two
Step-by-step explanation:
Please awnser the question below:
Order of the given expression into smallest to largest are as follow:
[tex]\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12} < \frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}[/tex]
As given in the question,
Given expressions are as follow:
[tex]\frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12},\\\\\frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12}\\\\\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} \\ \\\frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)}[/tex]
Arrange them in the order of smallest to largest by simplifying them,
[tex]\frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}= \frac{2+4}{24-12\\}[/tex]
= 0.5
[tex]\frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12}= \frac{4+\sqrt{2} }{12}[/tex]
=0.45
[tex]\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} = \frac{2+4}{-48}[/tex]
= -0.125
[tex]\frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)}= \frac{4+\sqrt{2} }{-48}[/tex]
= -0.1128
-0.125 < -0.1128 < 0.45 < 0.5
Therefore, order of the given expression into smallest to largest are as follow:
[tex]\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12} < \frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}[/tex]
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Can someone help me I will make u brilliant
Answer: R'=(6, -2)
S=(-6,9) ==> S'=(6, -9)
T=(-5,9) ==> T'=(5, -9)
U=(-5,2) ==> U'=(5, -2)
Step-by-step explanation:
When rotated around the origin by 180 degrees, the rectangle will have all its coordinates' x and y values negated.
R=(-6, 2) ==> R'=(6, -2)
S=(-6,9) ==> S'=(6, -9)
T=(-5,9) ==> T'=(5, -9)
U=(-5,2) ==> U'=(5, -2)
Given g(x) = 2x + 4, find g(-6).
2x+4
substitute x as -6
-12+4= -8
g(-6)=-8
Note: Your teacher will grade your response to ensure that you receive proper credit for your answers.
6. A
field has an area of 479 ft². What is the approximate length of a side of the field?
Give your answer to the nearest foot. Explain your response.
Answer:
Step-by-step explanation:
The number of square units required to fill a square is the area.
Area of a square = side × side
Area of a square = side2 square units
Area of a square field = 479 ft2 [Given]
So the side can be determined by:
Length of a side of the field = √479 = 21.9 feet
Therefore, the length of a side of the field is 21.9 feet.
Pete worked 51 hours and 30 minutes on his new job. He makes $11.55 per/hour. For each hour of overtime, he earns time and a half. How much will he earn for one week?
Pete will earn $594.83 for one week that he worked for 51 hours
What is the normal hours of work per week?
The number of hours that Pete works normally in any week is 40 hours, beyond the 40 hours, it is regarded as overtime and the overtime hours are paid at one and a half of the normal hourly rate of $11.55
overtime=51.50-40
overtime=11.50
normal earnings=40*$11.55
normal earnings=$462.00
overtime pay=11.50*$11.55
overtime pay=$132.83
total weekly earnings=$462.00+$132.83
total weekly earnings=$594.83
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if the lesser of two consecutive even integers is tripled, the result is 20 more than twice the greater integer. find the two integers.
Answer: 24, 26
Step-by-step explanation:
a=first even number. b=second even number
a=b-2
a*3=b*2+20
(b-2)*3=2b+20
3(b-2)=2b+20
3b-6=2b+20
b-6=20
b=26
a=b-2
a=26-2
a=24
24, 26
Answer:
mark me please
Explanation:
If the lesser of two consecutive even integers is tripled, the result is 20 more than twice the grater integer. find the two integers
let the numbers be x & x+2
3x=20+2(x+2)
3x=20+2x+4
3x-2x=24
x=24
The integers are 24 & 26
What is the equation of the parabola with focus (0,7) and directrix y = 1?
The equation of the parabola with the given focus and directrix is x² = 12( y - 4 ).
What is the equation of the parabola with the given focus and directrix?Since the directrix y = 1, it shows it is vertical, so we use the equation of the parabola that opens up or down.
( x - h )² = 4p( y - k )
Given the data in the question;
Focus: (0,7)directrix y = 1First, we determine the vertex.
The vertex ( h,k ) is half way between the directrix and the focus.
Find the y-coordinate of the vertex using;
y = ( y-coordinate of focus + directrix )/2
y = (7+1)/2 = 8/2 = 4
The x-coordinate of the vertex is the same as that of the focus 0
Hence, the vertex is ( 0,4 )
Next, we determine the distance p from the focus to the vertex.
p = y-coordinate of focus - y-coordinate of vertex
p = 7 - 4
p = 3
Now, plug the known values into the equation and simplify
( x - h )² = 4p( y - k )
( x - 0 )² = 4(3)( y - 4 )
x² = 12( y - 4 )
Therefore, the equation of the parabola with the given focus and directrix is x² = 12( y - 4 ).
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You invested $25,000 in two
accounts paying 9% and 8%
annual interest. If the total interest
earned for the year is $2100 how
much was invested of each rate?
let x be the capital invested in the 9% account
let y be the capital invested in the 8% account
let j be the interest earned from the 9% account
let k be the interest earned from the 8% account
[tex]j = xi_{1}n \: \: \: (n = 1 \: year)\\ j = x( \frac{9}{100})(1) = 0.09x[/tex]
[tex]k =yi_{2}n \: \: \: \: (n = 1 \: year) \\ k = y( \frac{8}{100} )(1) = 0.08y[/tex]
But the total interest made is 2100 $, hence:
[tex] \: \: \: \: \: \: \: j + k = 2100 \\ 0.09x + 0.08y = 2100[/tex]
And the total capital invested is 25000 $
[tex]x + y = 25000[/tex]
System of 2 equations and two unknowns:
[tex]0.09x + 0.08y = 2100 \\ x + y = 25000 \\ \\ \: \: \: \: (x,y)=(10000,15000)[/tex]
What is the domain and range of this function
which one does not belong 4/6, 8/14, 12/18, 6/9
ratios and rates
Answer:
8/14
Step-by-step explanation:
All of the other ratios can be simplified to 2/3
Can you use the associative property with subtraction?
Answer:
Addition and multiplication both use the associative property, while subtraction and division do not.
Step-by-step explanation:
Answer:
subtraction doesn't have the associative property. If we subtract the first two numbers, 10 minus 5, it gives us 5. If we move on to subtract 3, it gives us 2. However, if we subtract the last two numbers first, 5 minus 3 is 2.
how to solve tangent
Step-by-step explanation:
tan x = 1 / (cot x)
Tangent Formula Using Sin and Cos
We know that sin x = (opposite) / (hypotenuse), cos x = (adjacent) / (hypotenuse), and tan x = (opposite) / (adjacent). Now we will divide sin x by cos x.
(sin x) / (cos x) = [ (opposite) / (hypotenuse) ] / [ (adjacent) / (hypotenuse) ] = (opposite) / (adjacent) = tan x
Thus, the tangent formula in terms of sine and cosine is,
tan x = (sin x) / (cos x)
what is 230,981,762 and 167,983,657 gratest common factores
Answer: I'm sure it is just 1
Please help me i need this badly show work if you could
Answer:
a: 4
b: 5 is alone, p, -4p and 5p are in the same group, and 7q is alone
c: 2uv squared and -uv squared are in the same group. Everything else is alone.
Step-by-step explanation:
4 is multiplied by y. Kinda self explanatory.
Even though p doesnt have a number before it, it still does. Variables always have coefficients, and if you can't see it, that means it's one.
uv squared is one of the terms, so any number before it makes it part of the group. Everything else is not similar, so you got your answer.
I don't know what grade you are in, but I'm guessing your in a low grade, so sorry if I was unclear.
(100 points) HELP ME NOW!!!! NOOOOW!!!!! OR ELSE UR GONNA BE SUPER DUPER SORRY >:)
unit 2: equations and inequalities/ homework 11: compound inequalities
Question 3
The first five triangular numbers are shown, where n represents the number of dots in the base of the figure, and d (n)
represents the total number of dots in the figure.
1 3 6
15
When n = 1, there is 1 dot. When n = 2, there are 3 dots. When n = 3, there are 6 dots. Notice that the total number of dots
d (n) increases by n each time.
Use induction to prove that d (n) = n(n+1)
10
Part A
Prove the statement is true for n = 1.
What is the product of (−4)(16) • (−7)?
Answer:448
Step-by-step explanation:None
Answer:
448
Step-by-step explanation:
(-4 × 16)×(-7)
(-64)×(-7)
448
Solve the inequality 3/4q - 2/3q < 5/12q - 1/12 and write the solution in interval notation?
Solution of the inequality is q> 1/4 and in interval notation is (1/4 , ∞ ).
According to the question we have been given the inequality that is
3/4q - 2/3q < 5/12q - 1/12
Solving the equation step by step we get
First simplifying 3/4q - 2/3q which will get q/12
Therefore, q/12 < 5/12q - 1/12
moving all the terms with q on the left hand side we get
q/12 - 5/12q < -1/12
(q-5q)/12 < -1/12
-4q/12 < -1/12
multiplying both sides by 12 we get
-4q/12 * 12 < -1/12*12
-4q < -1
multiplying -1 both sides we get
4q>1
q >1/4
Hence solution of the inequality we get
(1/4 , ∞ )
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The length of a rectangle is four less than twice its width. If the perimeter of the rectangle is 76 units, what is its width?
a
13
b
14
c
20
d
26
e
28
The width of the rectangle is 14 units and the right option is b 14
What is perimter?Perimeter can be defined as the total distance around an object.
To calculate the width of the rectangle, we use the formula of perimeter.
Formula:
P = 2(l+w).................... Equation 1Where:
P = Perimter of the rectanglel = Length of the rectanglew = Width of the rectangle.From the question,
Given:
P = 76 unitsl = 2w-4Substitute these values into equation 1
76 = 2[w+(2w-4)]76 = 6w-86w = 76+86w = 84w = 84/6w = 14unitsHence, the width of the rectangle is 14 units and the right option is b 14
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On a math test, Ana writes 9 as the solution to 327.
a. Find the correct solution.
b. What error did Ana likely make on the test?
Considering the cube root of 27, we have that:
a) The correct solution is of 3.
b) The error that Ana likely made is that she considered the cube root as the number that is multiplied by 3 to get a result of 27, not the number that is elevated to three.
What is the problem?
The question is that Ana wrote 9 as a solution to the cube root of 27.
The cube root of a number is the number that is elevated by 3 to reach the number, for example:
1³ = 1, hence the cube root of 1 is of 1.2³ = 8, hence the cube root of 8 is of 2.3³ = 27, hence the cube root of 27 is of 3.From the last bullet point, we get the correct answer for item a.
For item b, we have that 9 x 3 = 27, hence the error that Ana likely made is that she considered the cube root as the number that is multiplied by 3 to get a result of 27, not the number that is elevated to three.
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Rochelle and Irene do some fundraising for their sporting team. Together they raised $741.
If Irene raised $p, and Rochelle raised $199 more than Irene:
Solve for the value of P
Answer:
$271
Step-by-step explanation:
$741-$199= $542
$542/2= $271
271=p
Irenes $271+ Rochelles $271+199 more than Irene= $741
Irene only raised $271 and rochelle raised 470$
Is this correct, if not whats the right answer.
Answer:
Answer is x=11
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(x−8)+11=17
(2)(x)+(2)(−8)+11=17(Distribute)
2x+−16+11=17
(2x)+(−16+11)=17(Combine Like Terms)
2x+−5=17
2x−5=17
Step 2: Add 5 to both sides.
2x−5+5=17+5
2x=22
Step 3: Divide both sides by 2.
2x/2=22/2
x=11
25.
9
E
Which statement about AABC and ADEF is true?
9
12,
A
B
A
12
16
12
They are similar because they are both isosceles triangles.
They are similar because AB is four more than ED, AC is three more than DF
BC is three more than EF.
201
Answer:
C. They are similar because corresponding sides are proportional.
Step-by-step explanation:
A and B are not are not how you would find similar triangles, so you can rule those answers out. We can also rule out D since the triangles aren't congruent - we can see they have different lengths. This leaves option C.
Here's how to check:
We'll take the ratio of FD:DE, which is 9:12.
9 ÷ 12 = 0.75
The corresponding sides on the second triange are CA:AB, which is 12:16
12 ÷ 16 = 0.75
9:12 = 12:16
The two traingles are similar & have proportional corresponding sides
Judy purchased a carpet for $173.95 and a table set for $88.08. She received a 18% discount but had to pay 8% sales tax. What is the total price?
well, the carpet and table set are both 173.95 + 88.08 = 262.03, however Judy is so smashing she got an 18% discount on that, ,so
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{18\% of 262.03}}{\left( \cfrac{18}{100} \right)262.03} ~~ \approx ~~ 47.17~\hfill \underset{discounted~price}{\stackrel{262.03~~ - ~~47.17}{\approx 214.86}}[/tex]
now, let's add the 8% tax to that
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 214.86}}{\left( \cfrac{8}{100} \right)214.86} ~~ \approx ~~ 17.19~\hfill \underset{\textit{ total price}}{\stackrel{214.86~~ + ~~17.19}{\approx \text{\LARGE 232.05}}}[/tex]
the difference between any two consecutive numbers in the list a,b,c,d,e is the same . If b = 5.5 and e = 10, what is the value of a
Answer:
a = 4
Step-by-step explanation:
You are given an arithmetic sequence with second term 5.5 and fifth term 10. You want to know the first term.
Common differenceThe 2nd term will have 3 times the common difference added to it to make the 5th term. Then that difference can be found from ...
5.5 +3d = 10 . . . . using 'd' for the common difference
3d = 4.5
d = 1.5
First termThe second term (a2) is obtained by adding the common difference (d) to the first term (a1):
a2 = a1 +d
5.5 = a1 + 1.5
4.0 = a1
The value of 'a' is 4.
__
Additional comment
The 'd' we're using here to represent the common difference is not to be confused with the 'd' in the problem statement that represents the fourth term of the list.
The fact that adjacent list members have the same difference is what tells you this is an arithmetic sequence. In terms of the problem statement, you have ...
{a, b, c, d, e} = {4, 5.5, 7, 8.5, 10}
Here, we have used the more common notation for elements of an arithmetic sequence.