Answer:
In y = kx, where k is the constant of proportionality.
Answer:
k is the constant
Step-by-step explanation:
Direct variation is simply explained as when a number is directly proportional to another number. For example, when 8 is directly proportional to 4 then it will result to
=> 8= k4, where k is the constant
=> divide both sides by 4 to get k
=> k= 2
whats the sqaure root of 1386
Answer: " [tex]3\sqrt{154}[/tex] " ;
or, write as: " 37.229 " .
__________
Step-by-step explanation:
The digits of "1386" ;
add up to: " (1 + 3 + 8 + 6) " ;
= " (1 + 3) + 8 + 6 " ;
= " (4) + 8 + 6 ;
= " (4 + 8 + 6) " ;
= " (4 + 8) + 6) " ;
= " (12) + 6 "
= "18 " ;
"18" is divisible ("evenly") ; by both: "2" : {" 18 ÷ 2 = 9 ".} ;
and by: "3" : {" 18 ÷ 3 = 6 ".}
Note: If a number is "evenly divisible by both: "2" and "3" ; then said number is divisible by "6" ;
_________
Other: If the sum of the digits of a number result in a number that is evenly divisible by "9" ; then said number is evenly divisible by "9" ;
_________
The sum of the digits of "1386" is: "18" ;
and: the sum of the digits of: "18" ; ⇒ " 1 + 8 = 9" .
{and: " 9 ÷ 9 = 1 ".}.
_________
Note: If number that ends with the last 2 (two) digits; in consecutive order; in which, taken as a "separate number" , is evenly divisible by "4" ; then, the entire said number is evenly divisible by "4".
Note: The number given: "1386 " ; ends with: "86" ;
and: " 86 ÷ 4 = 21.5" ; so we know that:
"1386" is not evenly divisible by "4".
_________
Note: If a number ends with the digit: "5" ; or "0" ; then the number is evenly divisible by: "5" . The number: "1386" ; does not meant either of these criteria.
_________
Note: If a number ends with the digit: "0" ; then the number is evenly divisible by: "10" . The number: "1386" ; does not meant this criterion.
_________
Note: If a number ends with the last 2 (two) digits; in consecutive order; in which, taken as a "separate number" , is evenly divisible by "7" ; then, the entire said number is evenly divisible by "7".
Note: The number given: "1386 " ; ends with: "86" ;
and: " 86 ÷ 7 = 12[tex]\frac{2}{7}[/tex] " ; so we know that:
"1386" is not evenly divisible by "7".
_________
Note: If a number ends with the last 2 (two) digits; in consecutive order; in which, taken as a "separate number" , is evenly divisible by "4" ; then, the entire said number is evenly divisible by "4".
Note: The number given: "1386 " ; ends with: "86" ;
and: " 86 ÷ 4 = 21.5" ; so we know that:
"1386" is not evenly divisible by "4".
_________
Note: If a number ends with the last 3 (three) digits; in consecutive order; in which, taken as a "separate number" , is evenly divisible by "8" ; then, the entire said number is evenly divisible by "8".
Note: The number given: "1386" ; ends with: "386" ;
and: " 386 ÷ 8 = 28[tex]\frac{1}{4}[/tex] " ; so we know that:
"1386" is not evenly divisible by "8" ;
_________
Since: we know that "1386" is evenly divisible by "9" ;
and "9" is a perfect square;
{since: " 3² = 3 * 3 = 36 " ; and since: " [tex]\sqrt[]{9} = 3[/tex] " }.
Let's see what the other factor of "1386" is when "9" is a factor:
" 1386 ÷ 9 = 154 " ;
_________
So: √(154) ;
= √9 * √(154) ;
= 3 * √(154) ;
Let's look at the factors of 154:
_________
⇒ 1 & 154; 2 and 77;
List this factors of "154" as: 1, 2, 77, 154;
→ none of which are "perfect squares" ;
→ So, the answer is: " [tex]3\sqrt{154}[/tex] " ;
or: further calculate with a calculator:
→ " [tex]3 * \sqrt{154} =[/tex][tex]37.2290209379725698[/tex] " ;
→ round to: " 37.229 ".
_________
Hope this is helpful. Best wishes!
_________
Could I get some help, please?
Answer:
19+j=59
Step-by-step explanation:
Sum means adding and "and" in math means +
What is the height of the triangular base? Show your work.
and What is the approximate amount of cardboard used to make the candy box?
Answer:
Hope it helps :)
Step-by-step explanation:
The volume of a triangular prism shaped box is 2,400 cubic centimeters.
Base of the triangle = 16cm
Sides of the triangle = 17cm
Length of the box = 20cm
Triangular prism
A triangular prism is a three-sided prism made of a triangular base and a corresponding side.
A. To find the height of the base = 3 x the volume divided by the base area = 15cm.
B. The approximate amount of card board used to make the candy box:
Using the lateral prism as the sides will be:
Lateral area = Perimeter of triangle X height of the prism
Lateral area = (16 + 17 + 17) X 20
Lateral area = 50 X 20
Lateral area = 1,000 cm2
Therefore, the answer is 1000cm2.
Simplify: ∛(2) × 2^(-1/13) × ¹²√(32)
[tex]simplify : \sqrt[3]{2} \times {2}^{ - \frac{1}{13} } \times \sqrt[12]{32} \\ [/tex]
Step-by-step explanation:
Given that:
∛(2) * 2^(-1/13) * ¹²√(32)
= ∛(2) * 2^(-1/13) * ¹²√(2⁵)
[since, ⁿ√(a) = a^(1/n)]
= 2^(1/3) * 2^(-1/13) * 2^{5 * (1/12)}
= 2^(1/3) * 2^(-1/13) * 2^{(5*1)/12}
= 2^(1/3) * 2^(-1/13) * 2^(5/12)
[since, a^m * a^n = a^(m+n)]
= 2^{(1/3) - (1/13) + (5/12)}
Take the LCM of 3, 13 and 12 is 156.
= 2^[{(1*52) - (1*12) + (5*13)}/156]
= 2^{(52 - 12 + 65)/156}
= 2^{(117 - 12)/156}
= 2^(105/156)
Now reduce the power fraction in simplest form by cancelling method.
= 2^(35/52) (or)= {2^(35)}^(1/52) (or)
= ⁵²√{2^(35)}
Answer: Hence, the simplified form of ∛(2) * 2^(-1/13) * ¹²√(32) = ⁵²√{2^(³⁵)}.
Please let me know if you have any other questions.
Applying the law of indices to the roots, we have that
[tex]\sqrt[n]{x} = x^{\frac{1}{n} }[/tex]
So,
[tex]\sqrt[3]{2}[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex]\sqrt[12]{32}[/tex] = [tex]2^{\frac{1}{3} }[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex]32^{\frac{1}{12} }[/tex]
= [tex]2^{\frac{1}{3} }[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex](2^{5} )^{\frac{1}{12} }[/tex]
= [tex]2^{\frac{1}{3} }[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex]2^{\frac{5}{12} }[/tex]
Since we have the same base in all three numbers, we have that from the law of indices, [tex]a^{x}[/tex] × [tex]a^{y}[/tex] = [tex]a^{x + y}[/tex]
= [tex]2^{\frac{1}{3} }[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex]2^{\frac{5}{12} }[/tex]
[tex]= 2^{\frac{1}{3} + (-\frac{1}{13}) + \frac{5}{12} } \\= 2^{\frac{1}{3} - \frac{1}{13} + \frac{5}{12} }[/tex]
Taking L..C.M of the denominators of the exponents, the L.C.M is 156.
So,
[tex]2^{\frac{1}{3} - \frac{1}{13} + \frac{5}{12} }\\= 2^{\frac{52 - 12 + 5 X 13}{156} } \\= 2^{\frac{52 - 12 + 65}{156} }\\= 2^{\frac{40 + 65}{156} }\\= 2^{\frac{105}{156} }[/tex]
Simplifying the exponent, we have
[tex]2^{\frac{105}{156} } \\= 2^{\frac{35}{52} }[/tex]
So, [tex]\sqrt[3]{2}[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex]\sqrt[12]{32}[/tex] = [tex]2^{\frac{35}{52} }[/tex]
Learn more about indices here:
https://brainly.com/question/10339517
They buy 400g with costs 2.56 how much would 350g cost
Answer:
2.24
Step-by-step explanation:
First I calculated the price for one g with the equation 2.56/400g.
I got .0064 per gram.
You can then multiply this by the 350g to get 2.24
Hope this helps
What is the measure of the missing angle?
Answer: 60°
Step-by-step explanation:
triangles always equal 180°, in this case you’re looking at the entire triangle so
60°+35°+25° = 120
180-120 = 60°
the missing angle is 60°
hope this helps :)
PLS HELP MEEEEEE Is Triangle M'S'V' a reduction or an enlargement of the original Triangle MSV?
In your answer, specify whether this dilation is a reduction or an enlargement and
explain how you know.
Answer:
reduction
Step-by-step explanation:
cause it is a smaller version
Answer:
its a reduction
Step-by-step explanation:
and because an enlargement scale factor is over 1 and a reduction scale factor is between 0 and 1 so the smaller trapezoid is a reduction because it isn't the original.
x^3+3x^2=24x+72 solve by factoring
Step-by-step explanation:
Irurjr8ri4b4 ririr 4 rikr r ririr r is the value of x in the equation 3 it is a good thing that you can use the rgb settings in the glorious model of your home and you will be able by the accounts department this is for the payable at on on Jan 1 2021 as I have not yet received the funds in the bank to pay the deposit for our deposit and the number y is greater than eight weeks notice and is a fat loss as brain is a fat loss for her outstanding amount but she will not be able to afford to pay for the correct answer and will not be able to make the payments to the base QR as I have not been paid for the last three months due to the formation of which substance of my
Expand & simplify
(x+3) (x+6)
Answer:
[tex]x^{2} +9x+18[/tex]
Explanation:
[tex]x(x+6)+3(x+6)\\x^{2} +6x+3(x+6)\\x^{2} +6x+3x+18\\x^{2}+9x+18[/tex]
The neighborhood swimming pool is 14 feet long, 11 feet wide, and 3 feet deep. Which formula below should be used to find how much water the pool can hold?
A.
2(14 feet) × 2(11 feet) × 2(3 feet)
B.
2(14 feet) + 2(11 feet) + 2(3 feet)
C.
14 feet + 11 feet + 3 feet
D.
14 feet × 11 feet × 3 feet
Answer:
D. 14 feet × 11 feet × 3 feet
Step-by-step explanation:
The volume of a rectangular prism is the product of its dimensions:
V = LWH
V = (14 ft)(11 ft)(3 ft) . . . . . matches choice D
help me pleaseeeeeeeeeeee
For each value of v, determine whether it is a solution to 6v-8>22.
[tex]6v - 8 > 22 \\ 6v > 22 + 8 \\ 6v > 30 \\ v > \frac{30}{6} \\ v > 5[/tex]
Use the Side-Splitter Theorem to determine the missing lengths.
Mark brainliest unless you show your work!
Hi there!
The answer is →[tex]15 \sqrt{3}[/tex]←
(Check the attached image for the explanation)
8÷22+1
this was too hard
A new car is purchased for $23,700 the value of the car depreciates at 13. 5% per year what will the value the car be to the nearest cent after 10 years
Answer:
Compound interest
$5557.88
Step-by-step explanation:
Everything starts at 100% and since it depreciates you subtract 13.5 from 100 =86.5% now we want percentage as a decimal so we divide by 100=0.865 our multiplier
Now you have the original amount that you purchased for times by the multiplier to the power of number of years=10
23700 times 0.865 power of 10
=5557.88
ight i knew this but forgot a lil so can u tell me the answer and explan it to me?
Answer:
30
Step-by-step explanation:
All straight line equations are in the form:
[tex]y=mx+c[/tex]
Where m is the gradient and c is the y-intercept
In this equation +30 is the y-intercept
Answer:
The y-intercept is 30 in this equation
Step-by-step explanation:
This equation is in slope-intercept form.
Slope intercept form includes two things, (you can probably already guess)
It includes the slope of the line and the y-intercept
In all slope-intercept form equations the 20x would be the slope and the 30 would be the y-intercept
So that should be enough to give you your answer! I hope this helps and please award brainliest if possible!
A row of 12 desks measures 27 feet. How many feet long is each desk? *
Step-by-step explanation:
To identify how long each desk is, divide 27 feet by the 12 desks. (Given values)
[tex]\frac{27}{12} = 2\frac{1}{4}[/tex] [tex]or[/tex] [tex]2.25[/tex]
Each desk is 2.25 ft long.
Check:
[tex]2.25 \times 12 = 27[/tex]
Correct.
Mike and his friends will watch a concert this weekend. A concert ticket cost P 750.00 but for every 10 tickets you buy you will have a 15% discount. If they will buy 10 concert tickets, how much will they pay?
A. P 6 365
B. P 6 375
C. P 6 385
Answer:
B
Step-by-step explanation:
Is 9546 greater than, less than, or equal to 9.123 × 103 ?
Answer:
greater than
Step-by-step explanation:
9.123 * 103 = 939.669
9546 > 939.669
At which points are the equations y = x- + 3x + 2 and y = 2x + 3 approximately equal?
Select all the correct locations on the graph. At which points are the equations y = x2 + 3x + 2 and y = 2x + 3 approximately equal? 2.
Answer:
The equations are approximately equals at the points (0.618,4.236)(0.618,4.236) and (-1.618,-0.236)(−1.618,−0.236)
Which expression is equivalent to the expression below?
6r+3(3s+9r)
which one is it? SOS
Answer: 33r + 9s
Step-by-step explanation: First, we need to distribute
the 3 through both terms inside the set of parenthses.
Students will often multiply the 3 by the 3s but forget
to multiply the 3 by the 9r, beware of this mistake.
So we get 6r + 9s + 27r which simplifies to 33r + 9s.
The equivalent expression is 33r + 9s
How to determine the equivalent expression?The expression is given as:
6r + 3(3s + 9r)
Expand the expression
6r + 9s + 27r
Collect like terms
6r + 27r + 9s
Evaluate the like terms
33r + 9s
Hence, the equivalent expression is 33r + 9s
Read more about equivalent expressions at:
https://brainly.com/question/2972832
To buy a car, Rachel
borrowed $3,000 at
946 interest per
year for 3 years
How much money
did she have to pay
back?
Answer: (3000)*(0.09)*(4) = $1,080.00
Step-by-step explanation:
When money is borrowed, interest is charged for the use of that money over a certain period of time. The amount of interest charged depends on the amount of money borrowed, the interest rate and the length of time for which the money is borrowed.
Principal is the amount of money borrowed. The interest rate is given as a percent. Time is the length of time in years for which the money was borrowed.
Interest = Principal * Rate * Time which is also written as I = P*R*T
Principal = $3,000, Interest rate = 0.09 and Time = 4
Raquel had to pay back $3,000 in principal plus $1,080 in interest for a total of $4,080.00
(3000)*(0.09)*(4) = $1,080.00
Solve x2 = 121.
if you can help me it would be great
Answer:
The answer is X=11 and X=-11
Step-by-step explanation:
[tex] {x}^{2} = 121 \\ \sqrt{121} = 11 \\ therefore \: value \: of \: x \: is \: 11[/tex]
A trucking company makes 50 deliveries in 5 days.
How long will it take for 400 deliveries?
8 days
or
10 days
or
20 days
or
40 days
Answer: 40 days
Step-by-step explanation: 50 divided by 5 equals 10 so 10 divided by 400= 40
Answer:
this is very hard, Good luck
PLS HELP I'LL GIVE U BRAINLIEST
The temperature falls from 15 degrees to -10 degrees. What is the difference in those temperatures?
Answer:
the answer is 7 degrees /j
An observer (O) spots a plane flying at a 55° angle to his horizontal line of sight. If the plane is flying at an altitude of 21,000 feet, what is the distance (x) from the plane (P) to the observer (O)? A right triangle is shown with angle O marked 55 degrees, hypotenuse marked x, and height marked 21,000 feet. 20,793 feet 25,636 feet 28,793 feet 36,585 feet.
Angle of elevation is angle measured from horizontal line to line of sight, The distance from the plane to the observer is 25,636 feet approx
What is angle of elevation?You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal line to the point where you stopped your head is called angle of elevation. See the figure where angle OPD is the angle when observer saw the plane. It is measured from the horizontal line OD.
Refer to the attached figure.
It is given that we have
Length of PD = |PD| = 21,000 feet
Angle ∠OPD = 55°
Assuming length of OP = |OP| = x feet, we get the sin ratio as
[tex]sin(55^\circ) = \dfrac{|PD|}{|OP|} = \dfrac{21000}{x}\\\\x = \dfrac{21000}{\sin(55^\circ)} \approx 25636.27 \approx 25636 \: \rm feet[/tex]
(tan 55° was calculated from online calculator)
Thus,
The distance from the plane to the observer is 25,636 feet approx.
Learn more about trigonometric ratios here:
https://brainly.com/question/22599614
Answer:
B. 25,636 ft.
Step-by-step explanation:
Cause I'm Asian, I make the rules here...
A(-6, 7)
B(6)-1)
C(-2,-5)
What is the midpoint of AC?
A( -2,1)
B (-4,1)
C (-4,6) D(0,3)
Answer:
-4,6
Step-by-step explanation:
6 horizontally and -4 vertically
help with parallel lines please
Answer:
angle 2 = 38° { because they are corresponding angles ,so they are equal }
Answer:
Step-by-step explanation:
∠2 = 38 {corresponding angles}
A pair of angles on the same side of the transversal, one of which is and interior angle and the other one is an exterior angles, but do not form a linear pair, is known as corresponding angles
Help me fast, please!!!!!!!!!!!!
I believe these are the answers:
1. True.
2. False.
3. False.
4. True.
Let me know if those are right. :)
Perimeter:
Area:
3.9 & 1.3
Answer:
1&0
Step-by-step explanation:
Enter a value for side 1 in metres with optional centimetres.
Enter a value for side 2 in metres with optional centimetres.
Click associated Get Results button.
Square metres (m2) and centimetres (cm2) remainder is shown.
Multiple calculations can be placed in the textbox below by pressing Move Results.
Multiple calculations total area is shown in the Grand Total Square Metres text box.