Find the length of segment QS. (Enter the just the value, without any units.)

Answer:

$261,500

Step-by-step explanation:

What amount should Nash report as its December 31 inventory?

Item                                                             Amount

Goods on hand as per physical count    $208,000

(+) Goods purchased from Swifty             $30,000

Corporation FOB shipping point    

(+) Goods sold to Marigold Corp               $23,500

FOB destination (at cost value)

Ending inventory                                        $261,500

Notes:

1) In case of FOB shipping point, the ownership of goods is transferred to the buyer when the goods are shipped and hence in the case of purchases from Swifty corporation, the goods should be included in the inventory of Nash's Trading Post as the goods are shipped and are in transit.

2) In case of FOB destination, the ownership of goods is transferred to the buyer when the goods reaches to the buyer, hence in the case of sales made to Marigold Corp, the goods are still in transit and the ownership is not transferred to Marigold Corp, hence Nash's Trading Post should included that goods in its inventory.

Step-by-step explanation:

Total letters = 11

Probability of letter M = 2/11

Probability of second M = 1/10

Answer:

1. 4/5

2. 80%

Step-by-step explanation:

Answer:

4 ( -x^3 + 2x - x)

Step-by-step explanation:

refer the attachment

Answer:

y = 10 - 0.5x for 0 ≤  x ≤ 20

Step-by-step explanation:

Initial value = (0,10)

final value = (20,0)

Cost per trip = debit of 0.50 = slope

equation : y = 10 - 0.5x for 0 <=  x <= 20

Answer:

Option B

Step-by-step explanation:

With a scale factor of 1/2, the dilated shape should be smaller because of the scale factor, So in Option B the dilated shape is smaller than the real one.

1) Option A is an enlargement

2) Option B is reduction

3) Option C is equality

Answer:

a = 0.3 and b = - 1.1

Step-by-step explanation:

(x - 2)² = x² -4x + 4

Hence, x² - 4x + 4 = 3x - 6

x² - 7x + 10 = 0

(x - 5)(x - 2) = 0

∴ x = 5 or 2

f(5) = 25a + 5b = 2  ----- (i)

f(2) = 4a +  2b = -1  ------ (ii)

(i) X 2: 50a + 10b = 4 ----- (iii)

(ii) X 5: 20a + 10a = -5  ---- (iv)

Subtract (iv) from (iii): 30a = 9

a = 0.3

Substitute a into (ii) to obtain b

4(0.3) + 2b = -1

2b = -1 - 1.2 = -2.2

∴ b = -1.1

The answer is C. Ability to rust. This is because rusting is a chemical property of a substance, which is caused by environmental factors causing said substance to tarnish.

Answer:

Hey there!

You can use the ASA postulate, when two angles are congruent, and one side is congruent.

Hope this helps :)

Answer:

a = 3

Substitute the value of point (a,7) in the equation and solve for a

5(a)-7=8

5(a)=8+7

5(a)=15

a = 15/5 = 3

God Bless and stay safe!

- Eli <3

Answer:

63m

Step-by-step explanation:

Answer:

I hope it will help you....

Answer:

[tex]\boxed{\mathrm{view \: attachment}}[/tex]

Step-by-step explanation:

The zeros of a function is where the function crosses the x-axis. The x-intercepts are the zeros of a function.

[tex]f(x) = (x - 1)(x - 7)[/tex]

Let output equal to 0.

[tex]0 = (x - 1)(x - 7)[/tex]

Set factors equal to 0.

[tex]x-1=0\\x=1[/tex]

[tex]x-7=0\\x=7[/tex]

The zeros of the function are [tex]x=1[/tex] and [tex]x=7[/tex].

Answer:

Step-by-step explanation:

Hope this Helps ;)

Answer:

40/100 = 0.4

your welcome

Answer:

x = -3/4, 1

Step-by-step explanation:

Factor left side of the equation.

(4x + 3)(x - 1) = 0

Set factors equal to 0.

4x + 3 = 0

4x = -3

x = -3/4

x - 1 = 0

x = 1

Answer:

x₁ = -3/4

x₂ = 1

Step-by-step explanation:

4x² - x - 3 = 0

4x² + 3x - 4x - 3 = 0

xx(4x + 3) - 4x - 3 = 0

xx(4x + 3) - (4x + 3) = 0

(4x + 3) × (x - 1) = 0

4x + 3 = 0 → x = -3/4

x - 1 = 0 → x = 1

Hope this helps! :)

Answer:

0.05 in per min.

Step-by-step explanation:

We simply divide 6 by 120 to find our unit rate:

6 in/120 min = 1/20 = 0.05 in/1 min

Answer:

1/20 Inch per. Minute

Step-by-step explanation:

6/120 -->

6/1 x 1/120 --> cancel out 6 and 120 for 1 and 20 respectively

1/1 x 1/20 --> 1 x 1/20 => 1/20

Hope this helps!

Answer:

3/2

Step-by-step explanation:

Using two points we can find the slope of a line

(0,1) and  (2,4)

The slope is given by

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

   = (4-1)/(2-0)

   = 3/2

Answer:

Step-by-step explanation:

Solve 3x + 5y = 1 for y to obtain the slope of the given line:

5y = -3x + 1, or y = (-3/5)x + 1.

Any line perpendicular to this one has the slope which is the negative reciprocal of (-3/5):  That would be 5/3.

The desired line has slope 5/3 and passes through (2, 7);

Adapt y = mx + b by substituting the known values, to find b:

7 = (5/3)(2) + b.  The LCD is 3, so multiply each term by 3 to eliminate the fractional coefficient:

21 = 10 + 3b, or 11 = 3b.  Then b = 11/3, and the desired equation in slope intercept form is

y = (5/3)x + 11/3

To obtain the standard form, multiply all three terms by 3 again:

3y = 5x + 11, or

5x + 11 - 3y = 0, or

5x - 3y + 11 = 0

Answer:

[tex]m\angle 2=53^{\circ}[/tex]

[tex]m\angle 7=74^{\circ}[/tex]

Step-by-step explanation:

It is given that quadrilateral GHJK is a rectangle and [tex]n\angle 3=37^{\circ}[/tex].

All interior angles of a rectangle are right angles. Diagonals are equal and bisect each other.

Now,

[tex]m\angle HKJ+m\angle HKG=90^{\circ}[/tex]    (Interior angles of a rectangle are right angles)

[tex]m\angle 3+m\angle HKG=90^{\circ}[/tex]

[tex]37^{\circ}+m\angle HKG=90^{\circ}[/tex]

[tex]m\angle HKG=90^{\circ}-37^{\circ}[/tex]

[tex]m\angle HKG=53^{\circ}[/tex]

In an isosceles triangle, angle with equal sides are equal.

[tex]m\angle JGK=m\angle HKG[/tex]

[tex]m\angle 2=53^{\circ}[/tex]

Therefore, measure of angle 2 is 53 degrees.

Let the diagonals intersect each other at point O.

In triangle OGK,

[tex]m\angle OGK+m\angle OKG+m\angle GOK=180^{\circ}[/tex]    (Angle su property)

[tex]53^{\circ}+53^{\circ}+m\angle GOK=180^{\circ}[/tex]

[tex]106^{\circ}+m\angle GOK=180^{\circ}[/tex]

[tex]m\angle GOK=180^{\circ}-106^{\circ}=74^{\circ}[/tex]

Vertical opposite angles are equal. So,

[tex]m\angle 7=74^{\circ}[/tex]

Therefore, measure of angle 7 is 74 degrees.

Answer:

57.8 degrees and 122.2 degrees (to one decimal place)

Step-by-step explanation:

Since there are two pairs of angle/side involved, we can use the sine rule.

sin(A)/a = sin(B)/b

where

A = angle x

a = 11cm

B = 38 degrees

b = 8 cm

substitute in the sine rule equation,

sin(A) = sin(x) = sin(38)/8 * 11 = 0.61566 * 11/8 = 0.84653

Now there are two solutions for x where sin(x) = 0.84653, they are supplement angles, namely 57.8367 degrees and 122.1633 degrees.

The reason for the two solutions is because the 8cm side can swing in two positions, one that makes x acute, and the other one obtuse.

Answer:

x = 1.

Step-by-step explanation:

y = k(x + 3)

When x = 3 y = 12 so

12 = k(3 + 3)

6k = 12

k = 2.

So the relation is y = 2(x + 3)

When y is 8:

8 = 2(x + 3)

2x = 8 - 2*3 = 2

x = 1.

Answer:

40 km away.

Step-by-step explanation:

a^2 + b^2 = c^2

In this case, a = 16 * 2 = 32 km, since he travels 16 km per hour for 2 hours.

b = 12 * 2 = 24 km, since she travels 12 km per hour for 2 hours.

32^2 + 24^2 = c^2

1,024 + 576 = c^2

1600 = c^2

c^2 = 1600

c = plus or minus 40

Since distance cannot be negative, they will be 40 km away.

Hope this helps!

The required, after 2 hours, Rachel and Amos will be 40 kilometers apart.

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,

We can use the Pythagorean theorem to solve this problem. After 2 hours, Rachel will have traveled 24 kilometers (12 km/hour x 2 hours) due east, and Amos will have traveled 32 kilometers (16 km/hour x 2 hours) due north. Let's call the distance between them after 2 hours "d".

Using the Pythagorean theorem, we can write:

d² = (24 km)²+ (32 km)²

Simplifying this expression:

d² = 576 km² + 1024 km²

d² = 1600 km²

Taking the square root of both sides,

d = 40 km

Therefore, after 2 hours, Rachel and Amos will be 40 kilometers apart.

Learn more about Pythagorean triplets here:

brainly.com/question/22160915

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Answer:

  (4.4, 4.4)

Step-by-step explanation:

The point S can be found as the weighted average of the end points. The relative weights are the reverse of the distances to the end points:

  RS : ST = 1 : 4

  S = (4R +1T)/5

  S = (4(2, 2) +(14, 14))/5 = (22, 22)/5

  S = (4.4, 4.4)

Answer:

living organism

Step-by-step explanation:

soil particals and decad crops living organism

Answer:

261/44

Step-by-step explanation:

hope this helps. :)

Answer:

9 1/2

Step-by-step explanation:

7 1/2 - 1 5/8 + (1 3/8 × 2 7/11)​ =

= 7 4/8 - 1 5/8 + 11/8 * 29/11

= 6 12/8 - 1 5/8 + 29/8

= 5 7/8 + 3 5/8

= 8 12/8

= 8 + 8/8 + 4/8

= 9 1/2

Distribute the sum:

[tex]\displaystyle\sum_{i=1}^{24}(3i-2)=3\sum_{i=1}^{24}i-2\sum_{i=1}^{24}1[/tex]

Use the following formulas:

[tex]\displaystyle\sum_{i=1}^n1=n[/tex]

[tex]\displaystyle\sum_{i=1}^ni=\dfrac{n(n+1)}2[/tex]

[tex]\implies\displaystyle\sum_{i=1}^{24}(3i-2)=3\cdot\frac{24\cdot25}2-2\cdot24=\boxed{852}[/tex]

In case you don't know where those formulas came from:

The first one is obvious; you're just adding n copies of 1, so 1 + 1 + ... + 1 = n.

The second can be proved in this way: let S be the sum 1 + 2 + 3 + ... + n. Rearrange it as S = n + (n - 1) + (n - 2) + ... + 1. Then 2S = (n + 1) + (n + 1) + (n + 1) + ... + (n + 1), or n copies of n + 1. So 2S = n(n + 1). Divide both sides by 2 and we're done.

Answer:

The trip normally takes 8 minutes

Step-by-step explanation:

The given information states that the away distance the boat traveled = 400 m

The time traveled at the same initial  speed , v₁, by the boat on the way back = 2 minutes

The increase in speed of the boat by Pilar =  10 m/min

The new speed, v₂ = v₁ + 10

The time for the return trip, t₂ = 60 seconds (1 minute) faster than time for the trip, t₁

t₂ = t₁ - 1

Therefore we have;

v₁ × t₁ = v₁×2 + v₂×(t₂-2) = 400

v₁×2 + (v₁ + 10)×(t₂-2) = 400

(v₁ + 10)×t₂ - 20 = 400

But v₁ = 400/t₁ = 400/(t₂ + 1)

Which gives;

(400/(t₂ + 1) + 10)×t₂ - 20 = 400

10×(t₂²+ 36·t₂-2)/(t₂+1) = 400

10·t₂²+ 10·t₂-420 = 0

t₂²+ t₂-42 = 0

(t₂ - 7)(t₂ + 6) = 0

t₂ = 7 minutes or -6 minutes

Given that t₂ is a natural number, we have, t₂ = 7 minutes

Whereby, t₂ = t₁ - 1, we have;

7 =  t₁ - 1

t₁ = 1 + 7 = 8 Minutes

The trip normally takes 8 minutes

Answer:

actually, it is 7

Step-by-step explanation:

the previous guy's explanation was all correct, but the question is asking for the return trip, which is one minute less, so the answer is 7. Hope this helped, also, i go to rsm as well and i got this one correct

Answer:

e)  (3.77%, 8.70%)

95% confidence interval for the percentage of all medical students who plan to work in a rural community

(3.83% , 8.69%)

95% confidence level for the population proportion who blame oil companies for the recent increase in gasoline prices

(0.406 , 0.454)

Step-by-step explanation:

Step(i):-

Given random sample size 'n' = 369

Sample proportion

                              [tex]p = \frac{x}{n} = \frac{23}{369} = 0.0623[/tex]

95% confidence intervals are determined by

[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} })[/tex]

[tex](0.0623 - 1.96 \sqrt{\frac{0.0623(1-0.0623)}{369} } , 0.0623 + 1.96\sqrt{\frac{0.0623(1-0.0623)}{369} })[/tex]

(0.0623 - 0.0246 , 0.0623 + 0.0246)

(0.0383 , 0.0869)

(3.83% , 8.69%)

95% confidence interval for the percentage of all medical students who plan to work in a rural community

(3.83% , 8.69%)

Step(ii):-

Given 43% of those polled blamed of companies the most for the recent increase in gasoline prices

sample proportion 'p' = 0.43

Given Margin of error (M.E) = 0.024

95% confidence intervals are determined by

[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} })[/tex]

[tex](0.43 - 0.024 } , 0.43 +0.024 )[/tex]

(0.406 , 0.454)

Final answer:-

95% confidence level for the population proportion who blame oil companies for the recent increase in gasoline prices

(0.406 , 0.454)

Answer:

y=2x-8

Step-by-step explanation:

Every hour, temperatures INCREASE by two degrees, so 2x.

At the beginning (x=0), the temperature was -8 degrees, so -8.

So temperature as a function of time is y=2x-8

Answer:

y = 2x-8

Step-by-step explanation:

At the beginning = -8 F

Let y be the temperature and x be the no. of hours

So, the equation becomes

=> y = -8 + 2x

Writing it in proper form

=> y = 2x-8

Step-by-step explanation:

great circle = 9[tex]\pi[/tex] = r^2.[tex]\pi[/tex] --> r = 3 m

Surface area S = 4[tex]\pi[/tex].r^2 = 36[tex]\pi[/tex] m^2

Volume V = 4/3[tex]\pi[/tex].r^3 = 36[tex]\pi[/tex] m^3

The volume of a sphere is 36π m³ and the Surface area of sphere 36π m². Therefore, option A is the correct answer.

The volume of sphere is the measure of space that can be occupied by a sphere.  If the radius of the sphere formed is r and the volume of the sphere is V. Then, the volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³

Given that, sphere with great circle area 9π m².

We know that, area of a circle = πr²

Now, πr²=9π m²

r=3 m

Here, volume of a sphere = 4/3 ×π×3³

= 36π m³

Surface area of sphere = A = 4πr²

= 4×π×3²

= 36π m²

Therefore, option A is the correct answer.

To learn more about the volume of a sphere visit:

https://brainly.com/question/9994313.

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