if (k-6)(k+2)-(k²-20)=2k+6, whatis tge value of k?​

Answer:

  y = 9x +1000

Step-by-step explanation:

The relation for the total cost of manuals based on the number produced will be the sum of a base cost and a variable cost. The variable cost is the product of the cost per manual and the number of manuals.

The cost per manual can be found by looking at the increase in cost relative to the increase in the number of manuals produced:

  cost per manual = (increase in cost)/(increase in production)

  = ($2350 -1450)/(150 -50) = $900/100 = $9

The base cost will be added to the product of the cost per manual and the number of manuals. For the 2nd year purchase, this is ...

  $1450 = base cost + (50 manuals)×($9/manual)

  $1450 = base cost + $450

  base cost = $1450 -450 = $1000

The equation for the cost in dollars (y) of producing x manuals can now be described by ...

  y = (cost per manual)x +(base cost)

  y = 9x +1000

Answer:

7.534g ring is heavier, by 2.234g

Step-by-step explanation:

Note: mg =

[tex] {10}^{ - 3} grams[/tex]

[tex]5300mg = ( \frac{5300}{ {10}^{3} } )g \\ = ( \frac{5300}{1000} )g \\ = 5.3g[/tex]

From here we can see Ring A (7.534g) is heavier than Ring B(5,300mg)

Difference in Mass = 7.534g - 5.3g

= 2.234g

After four rounds of the game, it is impossible that Prinyanka's score could be A. 6.

The numbers of the right side are shown to be odd numbers. the lowest numbers that Priyanka can get are:

= 1, 3, 5, 7

Assuming Priyanka picks 1 and 3 which are the lowet number, the total Priyanka would get i:

= 1 + 1 + 3 + 3

= 8

it is therefore not possible to get 6 points after 4 rounds of the game.

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Answer:

come omo-tzzf-ivc In meet I will tell

The equation  that can be used to calculate the surface area of the triangular prism net shown below is mathematically given as

SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)  

Generally, The region or area that is occupied by the surface of any particular item is referred to as that object's surface area.

In conclusion, the equation surface area of the triangular prism will be one that accommodates all parameters

SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)  

SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)  

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The number of purple marbles in the bag are; 201 purple marbles

We are told that Two-fifths of the marbles are green, and the rest are purple.

A) The image attached shows the bar model where the shaded parts denote the purple marble while the unshaded parts denote the green marbles.

B) We are told that there are 134 green marbles.

If the total number of marbles are x. Then;

(2/5)x = 134

x = 134 * 5/2

x = 335 marbles

Thus;

Purple Marbles = (3/5) * 335 = 201 purple marbles

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Answer:

x=10000

Step-by-step explanation:

Answer:

  $959.68

Step-by-step explanation:

The loan amortization formula can be used to find the payment amount.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

A = payment amount; P = principal borrowed; r = annual interest rate; t = number of years; n = payments per year (and number of times interest is compounded per year).

For a principal amount of $33,000 at an interest rate of 3%, the 36 monthly payments will be ...

  A = $33000(0.03/12)/(1 -(1 +0.03/12)^(-12·3)) ≈ $959.68

The monthly payments will be $959.68.

Fission of 1 kg of element B releases 2941 times as much energy as burning 1 kg of element A

The given parameters are:

Energy A = 5.1 * 10^7

Energy B = 1.5 * 10^11

The amount of energy B in proportion to energy A is calculated as

Proportion = Energy B/Energy A

So, we have:

Proportion = (1.5 * 10^11)/(5.1 * 10^7)

Divide 1.5 by 5.1

Proportion = 0.2941 * 10^11/10^7

Divide 10^11 by 10^7

Proportion = 0.2941 * 10^4

Evaluate

Proportion = 2941

Hence, fission of 1 kg of element B releases 2941 times as much energy as burning 1 kg of element A

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Answer: 26 × 4

Step-by-step explanation: There are 26 letters in the alphabet lettered A through Z.

Deepak is given the choice of picking a four letter password of his liking, using any four letters. Since the letters he uses can be repeated, it is 26 * 4 possibilities, since there are 26 different possibilities of letters from the alphabet he could choose, for 4 times. Also, since letters can be repeated, 26 stays the same. If letters could not be repeated, it would be 26 * 25 * 24 * 23.

Answer:

B.  26⁴

Step-by-step explanation:

If the password is 4 letters long and he can repeat letters then:

Therefore, to find the total number of passwords he can create, simply multiply the number of permutations for each letter of his password:

⇒ 26 × 26 × 26 × 26 = 26⁴

Answer:

C.y=sin(x-2)

Step-by-step explanation:

Using the topic of transformation of functions(rules shown in picture above)

the the (x-2) moves the graph to places to the right

and as the sine graph goes through 0 and so you add 2 to the right (but there is a problem in the graph should in the picture as it should me labeled 0,90,180,270,360 not these small numbers)

hope it helps!! :)

Answer:

See below

Step-by-step explanation:

equal probability    each occurs 1 time out of 16 possibilities

tttt

ttth

ttht

tthh

thtt

thth

thhh

httt

htth

thth

htht

hthh

hhtt

hhth

hhht

hhhh

The number of scores between 19.5 and 49.5 using the cumulative frequency is 16.

The cumulative frequency is the running total of frequencies over some class intervals.

The frequency refers to the number of elements in the set or class.

Therefore, the cumulative frequency is the sum of all previous frequencies up to the required point.

Scores on a Test

Class    Frequency   Cumulative Frequency

20–29         9                        9 (0 + 9)

30–39         4                       13 (9 + 4)

40–49         3                      16 (13 + 3)

50–59         2                      18 (16 + 2)

60–69        10                    28 (18 + 10)

Thus, the number of scores between 19.5 and 49.5 using the cumulative frequency is 16.

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Answer:

i can't see the picture.

For calculation of the following entries, the bond interest expense will gotten by multiplying the carrying bond value by the market interest rate.

Date    Account titles                   Debit        Credit

Jan. 1.  Cash                                $407,968

                 Bonds payable                           $380,000

                 Premium on bonds payable      $27,968

                 ($407,968 - $380,000)

Date      Account titles                          Debit      Credit

Dec. 31. Bond interest expense          $24,478

                    Premium bond payable                    $2,122

                    Bond interest payable                      $26,600

Date    Account titles                   Debit        Credit

Jan. 1.  Bond interest payable     $26,600

           ($380000 * 7%)

                   Cash                                            $26,600

Missing words "Prepare journal entries to record (a) The issuance of the bonds, (b) The accrual of interest and the premium amortization on December 31, 2022 and (c) The payment of interest on January 1, 2022"

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The slope of the given line containing the given points is; 7.

The formula for slope of a line between two coordinates is;

Slope(m) = (y2 - y1)/(x2 - x1)

Now, let us take the last 2 coordinates which are;

(-1, 35) and (2, 56).

Thus, the slope is;

m = (56 - 35)/(2 - (-1))

m = 21/3

m = 7

Thus, the slope of the given line containing the given points is 7.

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Answer:

B and D

Step-by-step explanation:

Both B and D cross over the point (4, 8) therefore they share the solution (4, 8)

El uso de las dadas operaciones es:

Para las operaciones "<", ">", y "=" uso es:

Entonces simplemente debemos comparar los dos números, si vemos al primer problema, por ejemplo:

3 ___ 17/2

Sabemos que 17/2 = 8.5

8.5 es más grande que 3, entonces el signo que debe ir ahi es:

3 < 17/2.

Todas las operaciones que estan colocados en la hoja ya son correctos.

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Answer:

I am pretty positive it is thirty if you need work shown just let me know if it is wrong for some reason then I apologize.

Step-by-step explanation:

If the model is 15 inches. Then the length of the table will be 10 feet.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

A table blueprint uses the scale 3 inches :2 feet.

The scale factor will be 2 feet: 3 inches.

If the model is 15 inches.

Then the length of the table will be

⇒ (2 feet/ 3 inches) x 15 inches

⇒ 2 x 5

⇒ 10 feet

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Answer: Multiplying these factors gives the approximate volume of the original body

Step-by-step explanation:

The given convex body can be approximated by a sequence of nested bodies, eventually reaching one of known volume (a hypersphere), with this approach used to estimate the factor by which the volume changes at each step of this sequence.

Answer:

[tex]66\pi[/tex] ft²

Step-by-step explanation:

First find the area of the rectangle surrounding the cylinder.

Since the base diameter is 6 feet, the circumference [tex]=\pi d=6\pi[/tex].

Since the height is 8 feet, the area of the rectangle is [tex]6\pi\times8[/tex] or [tex]48\pi[/tex]

Now the area of the base circle [tex]=\pi r^2 = \pi\times\frac{1}{4}d^2=9\pi[/tex]

There are 2 base circles, so [tex]9\pi\times2=18\pi[/tex]

Surface area = [tex]18\pi+48\pi=66\pi[/tex] ft²

Answer:

197.9

Step-by-step explanation:

find the area of the large circle and subtract the area of the small circle

area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]

area of large circle = 144[tex]\pi[/tex]

area of small circle = 81[tex]\pi[/tex]

area of shaded region = 63[tex]\pi[/tex]

which is equal to about 197.9

Answer:

The y intercept is the point where the line crosses the y axis.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

I believe the question is stating he can run 3 miles in 1 minute? Though it does make sense, here's the breakdown. :)

3 x 45 = 135 Miles total

135 / 15 = 9 "15" miles ran after 45 minutes.

If this is not what you meant to ask, let me know!

The question was incomplete. Below you will find the missing content.

Use the system of equations and graphs below to complete the sentence.

x - 2y = 5

3x + 15y = -6

The graph that correctly represents the given system of equations is a graph ( ), and the solution to the system is ( , ).

The correct option will be Option B: Graph B and the solution of the given system of equations will be (3,-1).

Given the first equation is x-2y=5

in this equation of line, the x-coordinate is:

x-(2.0)=5

⇒ x=5

The x-coordinate will be (5,0).

in this equation of line, the y-coordinate is:

0- 2y=5

⇒y= -5/2

The y-coordinate will be (0,-5/2).

So the first line equation has x-coordinate (5,0) and y-coordinate (0,-5/2).

Similarly,

Given the second equation is 3x+15y=-6

in this equation of line, the x-coordinate is:

3x+(15.0)=-6

⇒ x=6/3=2

The x-coordinate will be (2,0).

in this equation of line, the y-coordinate is:

(3.0)+15y=-6

⇒y= -6/15= -2/5

The y-coordinate will be (0,-2/5).

So the second line equation has x-coordinate (2,0) and y-coordinate (0,-2/5).

Equation-1: x - 2y = 5

⇒x =2y+5

putting the value of x in equation-2

3x + 15y = -6

⇒ 3(2y+5)+15y=-6

⇒6y+15+15y=-6

⇒21y=-6-15=-21

⇒y=-21/21=-1

putting the value of y in equation of x

x= 2(-1)+5= -2+5= 3

The solution of system of equations will be (3,-1)

Checking all the options

In option B one line has  x-coordinate (5,0) and y-coordinate (0,-5/2) and another line has x-coordinate (2,0) and y-coordinate (0,-2/5).

And the point of intersection of two lines is (3,-1).

Therefore the correct option will be Option B: Graph B and the solution of the given system of equations will be (3,-1).

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The exponential function that describes the situation is:

[tex]A(t) = 1320(1.2)^t[/tex]

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

The parameters for this problem are:

A(0) = 1320, r = 0.2.

Hence the equation is:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 1320(1 + 0.2)^t[/tex]

[tex]A(t) = 1320(1.2)^t[/tex]

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Answer:

[tex]967.6cm^{2} (1 d.p)[/tex]

Step-by-step explanation:

Total Surface Area of Cylinder = [tex]2\pi rh+2\pi r^{2}[/tex]

Given from the question, r = 7 cm and h = 15cm

Lets Substitute r and h into the formula to find the Total Surface Area of the cylinder.

Total Surface Area of Cylinder = [tex]2\pi (7)(15)+2\pi (7)^{2} \\=210\pi +98\pi \\=308\pi cm^{2} \\=967.6cm^{2} (1 d.p)[/tex]

The graph of the given system of equations is shown below

From the question, we are to graph the given system of equations.

The given system of equations are

y − 2x = −1

x + 3y = 4

The graph of the given system of equations is shown below

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33 stone pavers are needed to go around the patio with dimension of 12 ft wide by 14 ft long

An equation is an expression that shows the relationship between two or more variables and numbers.

12 inch = 1 ft

Total perimeter of patio not counting the side against the house = 12 + 12 + 14 = 38 feet

38 feet = 38 feet * 12 inch per feet = 456 in

Number of stone pavers needed = 456 in / 14 in = 32.57 ≅ 33

33 stone pavers are needed to go around the patio with dimension of 12 ft wide by 14 ft long

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Answer:

24ft high

Step-by-step explanation:

Assuming the wall is perpendicular to the ground (so that it forms a right angle, and that when the ladder is placed on the ground and leaned up against the wall that it forms a right triangle), we can use the Pythagorean Theorem to describe the situation mathematically.

For any right triangle (a triangle that has a right angle) the Pythagorean Theorem applies.  The Pythagorean Theorem describes the relationship between side lengths as [tex]a^2+b^2=c^2[/tex], where "c" is the length of the "hypotenuse" (the side across from the right angle), and "a" and "b" are the lengths of the "legs" (the other two sides that are touching the right angle).  Since addition is commutative, it doesn't matter which leg you pick for side "a" or side "b", it only matters that the hypotenuse must be "c".

Given that the ladder is across from the right angle (the angle formed by the wall and the ground... the two "legs"), the ladder represents the hypotenuse in this situation.

Substitute known values, and simplify...

[tex]a^2+(10)^2=(26)^2[/tex]

[tex]a^2+100=676[/tex]

Subtract 100 from both sides...

[tex](a^2+100)-100=(676)-100[/tex]

[tex]a^2=576[/tex]

Apply the square root property...

[tex]\sqrt{a^2}=\pm \sqrt{576}[/tex]

[tex]a=\pm 24[/tex]

[tex]a=24[/tex]  or  [tex]a=- 24[/tex]

Since the distance height the ladder will reach is not a negative number, we reject the negative solution.  Hence, the ladder will reach 24ft high, if placed 10ft from the base of the wall.