Explain Direct Variation. What does “k” equal?

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.

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!

Answer:

19+j=59

Step-by-step explanation:

Sum means adding and "and" in math means +

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]

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.

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)}^(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

Answer:

-4,6

Step-by-step explanation:

6 horizontally and -4 vertically

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

Hi there!

The answer is →[tex]15 \sqrt{3}[/tex]←

(Check the attached image for the explanation)

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

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 :)

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

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]

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

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

Answer:

greater than

Step-by-step explanation:

9.123 * 103 = 939.669

9546 > 939.669

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

I believe these are the answers:

1. True.

2. False.

3. False.

4. True.

Let me know if those are right. :)

Answer:

the answer is 7 degrees /j

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!
_________

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.

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

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

Answer:

B

Step-by-step explanation:

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.

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

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...

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)

[tex]6v - 8 > 22 \\ 6v > 22 + 8 \\ 6v > 30 \\ v > \frac{30}{6} \\ v > 5[/tex]

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