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Using the given exponential function, it is found that the number of sales in 2001 was of 327,300.

It models the number of sales S in t years after 2001, given by:

[tex]S(t) = 372300\left(\frac{6}{5}\right)^t[/tex]

2001 is year 0, hence the amount is given by S(0), that is:

[tex]S(0) = 372300\left(\frac{6}{5}\right)^0 = 372300[/tex]

The number of sales in 2001 was of 327,300.

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Answer:

A =24.7° ; B = 40.6° ; C =114.7°

Step-by-step explanation:

Answer:

K=4

Y=16

X=4

Step-by-step explanation:

[tex]y = kx {}^{2} \\ finding \: k \: when \: y= 36 \: and \: x = 3 \\ 36 = k(3) {}^{2} \\ 36 = 9k \\ dividing \: through \: by \: 9 \\ \frac{36}{9} = \frac{9k}{9} \\ 4 = k \\ k = 4 \\ findnig \: y \: when \: x = 2 \\ y = 4(2) {}^{2} \\ y = 4 \times 4 = 16 \\ finding \: x \: when \: y = 64 \\ 64 = 4 \times x \\ 64 = 4x \\ dividing \: through \: by \: 4 \\ \frac{64}{4} = \frac{4x {}^{2} }{4} \\ 16 = x {}^{2} \\ square \: root \: bothsides \\ \sqrt{16} = x {}^{2} \\ 4 = x \\ x = 4[/tex]

Answer:

[tex](\sin A)(\cos A)(\tan A)=1-k^2[/tex]

Step-by-step explanation:

[tex]\textsf{Trig identity}: \quad \tan A=\dfrac{\sin A}{\cos A}[/tex]

[tex]\begin{aligned}\implies (\sin A)(\cos A)(\tan A)& =(\sin A)(\cos A)\dfrac{(\sin A)}{(\cos A)}\\\\& =\dfrac{(\sin A)(\cos A)(\sin A)}{(\cos A)}\\\\& =\sin^2 A\\\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Trig identity}: \quad \sin^2 A + \cos^2 A &=1\\\implies \sin^2 A & =1-\cos^2 A\end{aligned}[/tex]

[tex]\implies (\sin A)(\cos A)(\tan A)=1-\cos^2 A[/tex]

If [tex]\cos A=k[/tex] then:

[tex](\sin A)(\cos A)(\tan A)=1-k^2[/tex]

The value of the expression (sin A)(cos A)(tan A) is equivalent to[tex]1 - k^2[/tex], which corresponds to option 4). k².

Let's use the trigonometric identity: tan A = (sin A) / (cos A).

Given cos A = k, we can find sin A using the Pythagorean trigonometric identity:[tex]sin^2 A + cos^2 A = 1.[/tex]

[tex]sin^2 A + k^2 = 1[/tex]

[tex]sin^2 A = 1 - k^2[/tex]

sin A = √(1 - [tex]k^2[/tex])

Now, the expression (sin A)(cos A)(tan A) is:

(sin A)(cos A)(tan A) = (√(1 - [tex]k^2[/tex]))(k)((√(1 -[tex]k^2[/tex]))/k)

Now, we can cancel out the common terms:

(sin A)(cos A)(tan A) = (√(1 - [tex]k^2[/tex]))(√(1 - [tex]k^2[/tex]))

Taking the square root of the product:

(sin A)(cos A)(tan A) = √((1 -[tex]k^2[/tex])(1 - [tex]k^2[/tex]))

(sin A)(cos A)(tan A) = √((1 -[tex]k^2[/tex][tex])^2[/tex]

(sin A)(cos A)(tan A) = [tex]1 - k^2[/tex]

So, the value of the expression (sin A)(cos A)(tan A) is equivalent to [tex]1 - k^2[/tex], which corresponds to option 4). k².

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Answer:

It is a good idea to convert the times into internation time

thus, 5:08 becomes 17 08

Substraction:

17 08 - 10 15

= 16 68 - 10 15 ( I took one hour from 17 and added 60 minutes to 08)

= 6 53

he worked 6 hr 53 mins

Answer:

x < - 4

Step-by-step explanation:

Draw a number line and find -4 then graph it

Step-by-step explanation:

44 ft in 3 seconds

in 1 hour there are 60 minutes with 60 seconds each.

so, 1 hour = 60×60 = 3600 seconds.

in 3600 seconds there are

3600 / 3 = 1200 "packages" of 3 seconds.

so, Jerry would run

1200 × 44 = 52800 ft in 1 hour.

there are 5280 ft in 1 mile.

that means Jerry would run

52800 / 5280 = 10 miles in 1 hour.

Answer:

The answer to each one is 1) 63,100,000,000

2) 2,000,000,000

3) 5,700,000,000

Answer:

150 tablets.

Step-by-step explanation:

20% of 500 is 100, so there was 100 desktop computers. Than, half of the devices were laptop computers, being 250. Than you add 100 and 250 to get 350. Than subtract 350 from 500 and you get 150.

100:224 = 61:x, or 61/100 = x/224

Cross multiply; 100x=13664

Then, divide by 100; x=136.64, or about 137 groups would contain all girls

Answer:

66.67%

If it wrong! IM SO SORRY:(

Answer:

46 square inches

Step-by-step explanation:

Surface Area = 2×(5×3 + 5×1 + 3×1)

Recall the double angle identity for cosine:

[tex]\cos(2x) = \cos^2(x) - \sin^2(x) = 1 - 2 \sin^2(x)[/tex]

It follows that

[tex]\sin^2(x) = \dfrac{1 - \cos(2x)}2 \implies \sin(x) = \pm \sqrt{\dfrac{1-\cos(2x)}2} \implies \csc(x) = \pm \sqrt{\dfrac2{1-\cos(2x)}}[/tex]

Since 0° < 22° < 90°, we know that sin(22°) must be positive, so csc(22°) is also positive. Let x = 22°; then the closest answer would be C,

[tex]\csc(22^\circ) = \sqrt{\dfrac2{1-\cos(44^\circ)}} = \sqrt{\dfrac2{1-\frac5{13}}} = \dfrac{\sqrt{13}}2[/tex]

but the problem is that none of these claims are true; cot(32°) ≠ 4/3, cos(44°) ≠ 5/13, and csc(22°) ≠ √13/2...

Answer:

-3

Step-by-step explanation:

First, let's remind ourselves the definition of a slope.

Slope = rise/run OR the height from one point to another/ the distance from one point to another.

First, let's find two points on this graph that are marked easily.

One point that can be found is (0, -3) and the other is (0, -1).

Let's apply our formula to these points!

<------- Starting from point (0, -3), we are RISING 3 points and RUNNING -1 points.

Rise         3

-------  =  ----------  

Run           -1

3/-1 = -3

The slope of the line is -3.

Answer:

-3.

Step-by-step explanation:

1) to choose two points on the given line on the graph. For example, A(-2;3) and B(-1;0);

2) to calculate the required slope according to the rule:

[tex]slope=\frac{Y_B-Y_A}{X_B-X_A};[/tex]

3) the required slope:

slope=-3/1=-3.

Answer:

P(S ∪ T) = 3/4

Step-by-step explanation:

Given:

For mutually exclusive events S and T,

P(S ∪ T) = P(S) + P(T)

Therefore,

P(S ∪ T) = (5/8) + (1/8)

              = 6/8

              = 3/4

Answer:

D)

17,15,13,11

Step-by-step explanation:

From the formula

[tex]f(n) = f(n - 1) - 2 \\ f1 = 17 \\ [/tex]

Answer:

the answer is that 20% plus 20% equals to 40% and the probability it will rain on at least one of those days is 40% or 2/5

Answer:

answers are in the attached file!

Step-by-step explanation:

these are super simple to solve if you break it down! in order to turn a mixed number into an improper fraction, you first need to multiply the whole number by the denominator of the fraction. then, you add the numerator of the fraction to the product of the multiplication problem. that answer is then the new numerator of the fraction! the denominator will stay the same.

for example, the very first one that is given in the picture is 6 1/2. 6•2 equals 12, plus the numerator, 1, gives 13.

Answer:

48pi cm squred

Step-by-step explanation:

first find area of the circle which is pi x r^2

pi x 3^2 = 9pi

Since there are two circles...

9pi x 2 = 18pi

Then find the area of the rectangle that is wrapped around the circle by finding the circumference of the circle and then multiplying that with the height of the cylinder

circumference of the circle = 2 x pi x r

2 x pi x 3 = 6pi

6pi x 5 = 30pi

Therefore the surface area is

48pi cm squred

Hope this helps!

Answer:

B.

Step-by-step explanation: The answer is b because 65.04 is the answer we get from finding the difference of those irregular triangles and the circle.

P.S. They must be done seperately.

Answer:

6 + 3d

Step-by-step explanation:

First, we can translate from English words to mathematical operations:

– Product: the result of multiplication

– Sum: the result of addition

So, we can rephrase the original sentence as “the result of adding 6 and (the result of multiplying 3 and d)”

When we multiply a constant like 3 by a variable like d, we usually write the two next to each other, which would be “3d” in this case. We can replace that last sentence in symbols with 6 + 3d

The image of the quadrilateral after the translation is added as an attachment

The given parameter represents the quadrilateral ABCD on the graph.

On this graph, we have the coordinates of ABCD to be:

A = (2, -3)

B = (-1, 3)

C = (-1, -3)

D = (-4, -4)

The translation is given as

2 units to the left and 3 units up.

Mathematically, this can be represented as

(x, y) = (x - 2, y + 3)

So, we have

A' = (0, 0)

B = (-3, 6)

C = (-3, 0)

D = (-6, -1)

Next, we plot the above coordinates on the graph (See attachment)

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Answer:

look at the photo

Step-by-step explanation:

it just is

Answer:

-5/4

Step-by-step explanation:

Count down 5 units and then count right 4 units in order to get negative 5 over 4.

Answer:

The new points to the triangle will be:

[tex]A(-6, 6)\\B(-6, 3)\\C(-8, 3)[/tex]

Step-by-step explanation:

Because the reflection point is at [tex]x = -1[/tex], all x values will subtract their distances from [tex]x = -1[/tex] to get their new values. The y values remain the same.

The starting values are:

[tex]A(4,6)\\B(4,3)\\C(6,3)[/tex]

Point [tex]A[/tex] is 5 units away from [tex]x = -1[/tex], so we'll subtract 5 from -1 to get the new x value: [tex]-1 - 5 = -6[/tex], so [tex]A(-6, 6)[/tex].

Point [tex]B[/tex] is also 5 unit away from [tex]x = -1[/tex], so we'll subtract 5 from -1 to get the new x value: [tex]-1 - 5 = -6[/tex], so [tex]B(-6, 3)[/tex].

Point [tex]C[/tex] is 7 units away from [tex]x = -1[/tex], so we'll subtract 7 from -1 to get the new x value: [tex]-1 - 7 = -8[/tex], so [tex]C(-8, 3)[/tex].

Answer:

No need to pay me, its my pleasure, also its not even in my country's currency so it would be worthless to me anyways.

5,4 and 4,4

Step-by-step explanation:

Answer:

its easy

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

the sun is the primary source

Answer:

62.8 inches

.Step-by-step explanation:

The wire consists of 14 semicircle + 4 3/4 circles. The diameter of each circle = 8 / 4 = 2 inches.Length of a semicircle = 1/2 * pi * diameter and of a 3/4 circle it is 3/4 * pi * diameter.So the perimeter of the wire= 14 * 1/2 * 3.14 * 2 + 4 * 3/4 * 3.14 * 2= 14 * 3.14 + 4 * 3/2 * 3.14= 62.8  inches.

Answer:

62.8 inches

Step-by-step explanation:

= 14 * 1/2 * 3.14 * 2 + 4 * 3/4 * 3.14 * 2

= 14 * 3.14 + 4 * 3/2 * 3.14

= 62.8  inches.