The annual fundraising goal of a college is $100,000. so far $58,743 has been raised. how much more money is needed to reach the goal?

Answer:

D

Step-by-step explanation:

The logical step is to factorize the left side of the equation, which becomes:

Then, you can take the square root on both sides.

Not asked, but good to understand the procedure regardless.

Answer:

Step-by-step explanation:

According to Pythagorean theorem, the square value of hypotenuse (the side length that sees angle measure 90) is equal to sum of square value of two legs:

let x represent the missing length

x^2 + 3^2 = 7^2

x^2 + 9 = 49 subtract 9 from both sides

x^2 = 40 find the root for both sides

x = [tex]\sqrt{40}[/tex] or 6.3 inches approximately

Answer:

90

bc i don't care about this

The equation of plane containing the points ABC is 13x+y-18z = 1035.

A plane in 3D coordinate space is determined by a point and a vector that is perpendicular to the plane. The equation of plane is defined as the position vectors and the Cartesian product of the vector perpendicular to the plane.

For the given situation,

The plane containing the points

A(10, 5, -50), B(15, 30, -45) and C(-5, 20, -60).

The equation of the plane in the form r.n=d can be represented as

[tex](r-a).[(b-a)[/tex] × [tex](c-a)]=0[/tex] ------ (1)

Let r = xi + yj +zk

a = 10i + 5j - 50k

b = 15i + 30j - 45k

c = -5i + 20j - 60k

[tex](r-a)=(x-10)i+(y-5)j+(z+50)k[/tex] ------- (2)

[tex](b-a)=(15-10)i+(30-5)j+(-45-(50))k[/tex]

⇒ [tex](b-a)=5i+25j+5k[/tex]

[tex](c-a)=(-5-10)i+(20-5)j+(-60-(50))k[/tex]

⇒ [tex](c-a)=-15i+15j-10k[/tex]

Now, [tex](b-a)[/tex] × [tex](c-a)[/tex]

⇒ [tex](5i+25j+5k)[/tex] × [tex](-15i+15j-10k)[/tex]

⇒ [tex]\begin{vmatrix}i&j&k\\5&25&5\\-15&15&-10\end{vmatrix}[/tex]

⇒ [tex]i(-250-75)-j(-50+75)+k(75+375)[/tex]

⇒ [tex]-325i-25j+450k[/tex] -------- (3)

Substitute all values in equation 1,

⇒ [tex][(x-10)i+(y-5)j+(z+50)k].[(-325i-25j+450k)]=0[/tex]

⇒ [tex]-325(x-10)-25(y-5)+450(z+50)=0[/tex]

⇒ [tex]-325x+3250-25y+125+450z+22500=0[/tex]

⇒ [tex]-325x-25y+450z=-22500-3250-125[/tex]

⇒ [tex]-325x-25y+450z=-25875[/tex]

On dividing by 25 and multiply with negative sign on both sides,

⇒ [tex]13x+y-18z=1035[/tex]

Hence we can conclude that the equation of plane containing the points ABC is 13x+y-18z = 1035.

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Answer:

x = 3

Step-by-step explanation:

1.

[tex]2\cdot \left(4x-3\right)-8=4+2x\\2\cdot 4x+2\cdot -3-8=4+2x\\8x-6-8=4+2x\\8x-14=4+2x[/tex]

2.

[tex]8x-14=4+2x\\8x-14-2x=4+2~x-2x\\8x-2x-14=4+2x-2x\\6x-14=4+2x-2x\\6x-14=2x-2x+4\\6x-14=4[/tex]

3.

[tex]6x-14=4\\6x-14+14=4+14\\6x=4+14\\6x=18[/tex]

4.

[tex]6x=18\\\frac{6x}{6}=\frac{18}{6}\\x=\frac{18}{6}\\\\[/tex]

[tex]x=\frac{3\cdot 6}{1\cdot 6}\\\\Factor\\x=3[/tex]

The expected value of the net gain from selling the stock in 2 years is $-3.

The net gain is the total profit from selling the stock less the total cost of buying the stock

Total cost of buying the stock = 10 x $10 = $-100

Expected selling price = (0.3 x $100 x 3) + (0.7 x$100 x 1/10) += $97

Net gain = $97 - $100= $-3

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Answer:

Kendra pours 500 milliliters of the mixture into each jar.

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

Kendra poured

500

milliliters into each jar.

Answer:

-34........................

Answer:

36.32 m

Step-by-step explanation:

perimeter = 2(l+b) = 2(10.5 + 7.66)

=2(18.16)= 36.32 m

Answer:

Step-by-step explanation:

4x^2-40-120

4x^2-160

4x^2=160

x^2=40

sqrt40=6.32

Answer:

(1,4) and (2,8)

Step-by-step explanation:

If you write these 2 ordered pairs as a fraction: 1/4 and 2/8 you can see that they are both equivalents.

Answer:

B, C and D

Step-by-step explanation:

Edge 2022/2023

Answer:

It's 5/30 Seniors. As a fraction, it would be 16.7 % of the seniors take the bus. Hope this helps!!!!!

Answer:

5/35=1/7=0.14

Step-by-step explanation:

35 in total for Senior

5 take bus

5/35=1/7

Answer:

  (d)  X = [-27, 8]

Step-by-step explanation:

The solution to the matrix equation can be found by left-multiplying both sides of the equation by the inverse of the coefficient matrix.

  AX = B . . . . given

  X = A⁻¹B

__

  [tex]X=\left[\begin{array}{cc}2&7\\1&4\end{array}\right]^{-1}\left[\begin{array}{c}2\\5\end{array}\right] =\left[\begin{array}{cc}4&-7\\-1&2\end{array}\right]\left[\begin{array}{c}2\\5\end{array}\right] \\\\X=\left[\begin{array}{c}-27\\8\end{array}\right][/tex]

_____

Additional comment

A calculator or spreadsheet can help with this. The solution can also be found by row-reducing the augmented matrix.

The  total of amala’s liabilities will be $5,500.

Passive income is the amount you receive that comes from the remuneration of your investments in financial market products. That is, it is generated regardless of your effort.

In this case, the total will be:

Total amount of Amala’s liabilities = Credit card balance  + car + student loan

So, we have:

[tex]850 + 2200 + 2500 = $5500[/tex]

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Answer:

$3,350

Step-by-step explanation:

This is because her car is paid in full it is no longer a liability it is an asset making the person above incorrect. The credit card balance + the student loans = 3,350

Answer:

slope =.25

Step-by-step explanation:

I assume this is asking to find the slope?

graph this equation and you'll see that the run is 16 and the rise is 4.

rise/run

4/16 = .25

The system of inequalities have no solutions, option D is correct.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given that the graph shows the solutions to the inequalities y> 3x + 14 and y< 3x + 2.

We have to find the  system of inequalities have solutions has solutions or not

As we observe the graphs  y> 3x + 14 and y< 3x + 2 of these inequalities the shade of both lines are not overlapped.

So the two inequalities does not have solution

Hence, the system of inequalities have no solutions, opton D is correct.

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The total cost of the piece of land for which James, John and Jane decided to buy a piece of land is 1,200,000.

Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.

James, John and Jane decided to buy a piece of land. James paid 3/5 of the total cost while John paid 3/8 of the reminder.  Thus, the fraction of amount paid by Jane is,

[tex]x=1-\dfrac{3}{5}-\dfrac{3}{8}\\x=\dfrac{40-24-15}{40}\\x=\dfrac{1}{40}[/tex]

The Jane paid, 30000 of total cost which is 1/40 part of it. Thus, the total cost of the piece of land is,

[tex]\dfrac{1}{40}x=30000\\x=30000\times40\\x=1200000[/tex]

Thus, the total cost of the piece of land for which James, John and Jane decided to buy a piece of land is 1,200,000.

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Answer:

3:2

Step-by-step explanation:

I am assuming this means convert to whole numbers

3/5:2/5 is 6/10:4/10

6/10:4/10 is 0.6:0.4

0.6:0.4 is 6:4

6:4 is 3:2

Answer:

Step-by-step explanation:

Keep the ratio simple.

3/5 : 2/5

remove the denominator (5) on both sides and you will have 3 : 2

Answer:

[tex]651*10^{-8[/tex]

Step-by-step explanation:

Sure hope this helps you

Answer:

Step-by-step explanation:

Answer:

choice 2

Step-by-step explanation:

Arithmetic sequences arare linear. The common difference is the slope. The points given are (3,10) And (5,26).

The slope is the change of y (26-10=16) over the change of x (5-3=2); this is 16/2=8.

The equation of line in slope-intercept form whose slope is given as 8 is y=8x+b.

We may plug in a point to solve for b.

Let's plug in (3,10):

10=8(3)+b

10=24+b

10-24=b

-14=b

So the equation we are lookinlooking for is y=8x-14 which is choice 2.

The correct option is:

"A closed circle at (2 + 8/9) and the arrow points to the left"

Here we have the inequality:

(2 + 8/9) ≥ x

First, because the symbol ≥ is used, we need to put a closed circle at (2 + 8/9) which means that the value is an actual solution (open circles are used for < and >), and then we shade all the numbers to the left of that value (because x also could be smaller than that).

Then the correct option is:

"A closed circle at (2 + 8/9) and the arrow points to the left"

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Answer: a closed circle on 2 8/9 and the arrow points to the left

Step-by-step explanation:

<3

Answer:

approximately 4.23 cm

Answer:

$497.28

Step-by-step explanation:

First, you need to find 16% of 592. To do this, turn 16% into a decimal by dividing by 100:

16/100 = 0.16

Then, multiply 0.16 by 592, to get 94.72.

Then, subtract this number from 592:

592 - 94.72 = 497.28

Answer:

The Answer is 147.2

Step-by-step explanation:

Hope this helps Have a great day and Sry if i'm wrong :)

4928 rooms / 112 floors

2464 rooms / 56 floors

---Really, all we are doing here is simplifying a fraction until we have a 1 in the denominator

44 rooms / 1 floor

Hope this helps!

Answer:

8 Answer is a) R

9 Answer is b) -4

Step-by-step explanation:

Answer of your Question bro and good evening and please mark me as brainliest and thank u

Step-by-step explanation:

we don't need to actually do the detailed area calculation.

all we need to consider is that an area, ANY area (for triangles, rectangles,...) is always the product or the sum of products of 2 dimensions (like side lengths).

the scaling factor of similar objects (incl. triangles of course) applies to each individual line, length, height or side.

so, when calculating the area of a similar figure, the scaling factor has to be multiplied in twice (once for every multiplied dimension) - making it the square of the normal single-dimensional scaling factor.

so, in other words, the area scaling factor is the square of the side scaling factor.

coming from A1 to A2 the area scaling factor is

80/45 = 16/9

the side scaling factor is then

sqrt(16/9) = 4/3

we have to multiply a side of A1 by 4/3 to get the corresponding side of A2.

and so, the ratio of A1 side lengths to A2 side lengths is

3:4

(the inverse, upside-down form of the scaling factor as a consequence of the question "how do I convert the 3 length units of A1 into 4 length units of A2 ?" by multiplying the 3 units by the scaling factor 4/3).

Answer:

No, it is not a right triangle

Step-by-step explanation:

A scalene right triangle comprised of integers must have the same ration as 5:4:3, and 5:6:8 is not it.