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Using an exponential function, it is found that the population of Clay County will be of $13,482.

An increasing exponential function is modeled by:

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

In which:

In this problem, the current population is 10,300 people, with a growth rate of 3%, hence A(0) = 10,300 and r = 0.03.

The equation is given by:

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

[tex]A(t) = 10300(1 + 0.03)^t[/tex]

[tex]A(t) = 10300(1.03)^t[/tex]

Hence, in 10 years, the population will be given by:

[tex]A(10) = 10300(1.03)^{10} = 13842[/tex]

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Answer: 7,595

Step-by-step explanation:

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Answer:

[tex]1.\; \boxed{\sf x=12^o}[/tex]

[tex]\sf 2.\;\boxed{\sf \angle 2=60^o}[/tex]

Step-by-step explanation:

1)

Since ∠1 and ∠ (7x-20) are corresponding angle.

So, ∠1 =∠ (7x-20)

and, ∠1 and ∠(5x+16) are vertically opposite angles.

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S0...

[tex]\sf 4x+16=7x-20[/tex]

Subtract 16 from both sides.

[tex]\sf 4x=7x-36[/tex]

Subtract 7x from both sides.

[tex]\sf 4x-7x=7x-36-7x[/tex]

[tex]\sf -3x=-36[/tex]

Divide both sides by -3.

[tex]\sf \cfrac{-3x}{-3}=\cfrac{-36}{-3}[/tex]

[tex]\boxed{\sf x=12^o}[/tex]

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2)

∠1 and ∠2 are corresponding angles.

S0,

[tex]\sf \angle 1=\angle 2=\boxed{\sf 60^o}[/tex]

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Additional info:-

Any pair of angles on the same side of one of two lines cut by a transversal and on the same side of the transversal are called corresponding angles.

Vertical angles are angles opposite each other where two lines cross.

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Answer:

x = 12

Step-by-step explanation:

The angles are equal as they are alternate exterior angles.

Solving :

⇒ 4x + 16 = 7x - 20

⇒ 7x - 4x = 16 + 20

⇒ 3x = 36

⇒ x = 12

Answer:

See picture above

Explanation:

Hope this helps and have a nice day

Answer:

your answer is 242 in^2

A=22+52+168

The area of the kite will be C. 14 square units.

From the information given, on coordinate plane, kite w x y z has points (1, 1), (3, 4), (5, 1),

The area of the kite will be;

= 2(1/2 × 7 × 2)

= 2 ×7

= 14 units²

Therefore, the area of the kite will be 14 square units.

In conclusion, the correct option is C.

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Answer:

14 square units

Step-by-step explanation:

Answer:

  72

Step-by-step explanation:

The two right triangles are congruent by the HA congruence theorem, so corresponding sides have the same length.

  QR = QT

  3p = p +48 . . . . . . substitute the given measure expressions

  2p = 48 . . . . . . . subtract p

  p = 24 . . . . . . . divide by 2

  QT = p +48 = 24 +48 . . . . . use the value of p in the expression for QT

  QT = 72

Answer:

Qualities variable, because eye color is something you observe from a study on someone. Eye color cannot be observed very well from a quantitive variable, because quantitive variables record height, weight, and other statistics other than eye color.

Step-by-step explanation:

[tex]\huge{\color{black}{\fbox{\color{pink}{\colorbox{pink}{\color{red}{Answer ✨☑️}}}}}}[/tex]

The number of terms are 8. Step-by-step explanation: Given : The sum n terms of an A.P is 136 the common difference is 4 and last term is 31.

Answer:

Sn=2n{2a+(n−1)d}

a+(n−1)d=31⇒a=31−4(n−1)

∴136=2n{2[31−4(n−1)]+(n−1)d}

n[70−8n+4n−4]=272

n(66−4n)=272

4n2−66n+272=0

2n2−33n+136=0

2n(n−8)−17(n−8)=0

(2n−17)(n−8)=0

∴n=8

Check the picture below.

Answer:

320

Step-by-step explanation:

20*2 = 40

360 - 40 = 320

[tex]q = \frac{gx {}^{2} - px + 2}{x} \\ [/tex]

[tex]p= \frac{gx {}^{2} - qx + 2}{x} [/tex]

Answer:

262 1/2 liters

Step-by-step explanation:

Remaining water in tank :

Answer:

262.5 litres

Step-by-step explanation:

Water taken from the tank

⇒ 11 × 12.5 litres = 137.5 litres

Water left in tank

⇒ 400 - 137.5 = 262.5 litres

Answer:

See below

Step-by-step explanation:

I don't see any graphs, but if you solve the inequality by dividing 3 on both sides, you get [tex]m > 7[/tex]. This means that all [tex]m[/tex] greater than 7, except 7 itself, are included in the solution set.

Ideally, I assume the answer would be a number line with an open circle at m=7 to show it is not included, and then a shaded arrow pointing to the right to show all possible solutions greater than 7.

Hi Student!

Reading the question we can pull out specific bits of information that would help us find our answer.  One of the bits of information that is useful is that we are trying to find the perpendicular line.  However, in order to determine a line that is perpendicular to the other line we first need to determine the slope of the first line.  Looking at the equation given, we can see that it follows the y = mx + b form where m is the slope and in this case our slope is 8.

Now that we have completed the information gathering, we can move onto the next part which is determining a slope that is perpendicular to that of the original line.  In order to find that we first need to negate our slope which would turn our 8 into a -8.  The second step that we need to do is take the reciprocal of the number which means that we basically flip the number and so we convert -8 into -1/8.  Looking at the given options, there is none that match our answer so that either means that the question is wrong or the choices that are given are wrong.

Answer: 6.36lb

Step-by-step explanation:

Step-by-step explanation:

Total Weight of the package = weight of product + weight of box

Weight of empty box =0.88lb

Total weight of the box is =7.24lb

Let Weight of product inside box=w

Let wet of empty box =y

Total weight = F

Then,

F=y+w

Since F=7.24lb. y=0.88

Then, w=F-y

w=7.24-0.88

w=6.36lb

The weight of the product is 6.36lb

hope this helps :)

Answer:

50%

Step-by-step explanation:

[tex] \frac{17}{34} = \frac{1}{2} = 50\%[/tex]

Answer:

Right angles.

Step-by-step explanation:

When an angle's measurements equal 90 degrees, it is called a right angle.

Answer:

Right angles

Step-by-step explanation:

For instance a a triangle with an angle of 90 ° is a right trangle because is has a right angle in it.

Answer:

Given that certificate of deposits earns 0.75% interest every three months, the value of $25,000 after 8 years will be:

A=P(1+r/100)^nt

where:

A=amount

P=principle

r=rate

t=time

n=number of terms

thus:

from the infomation

$25000, r=0.75%, t=8 years, n=12/3=4

thus

A=25000(1+0.0075/100)^(4*8)

A=25000(1.0075)^32

A=$3175.28

Step-by-step explanation:

To solve this problem, we must consider all the trigonometric equations:

 ⇒ (see image below)

Let's examine the diagram:

Thus we can use:

 [tex]cos(A)=\frac{35}{53} \\A= cos^{-1}(\frac{35}{53})\\ A = 48.67[/tex]

Answer: 49 degrees (as rounded)

Hope that helps!

Answer:

... There isnt answer choices...

Answer:

the new points/coordinates would be (3,0) and (3,-3) and (-3,-3)

Step-by-step explanation:

this is because you use column vectors and draw a cross at the centre of enlargement then find out how many spaces you need to go right and up for each of the coordinates. then times that by -3 and use your answers to go left and down from the centre (3,3)

Answer:

c) 18 cm²

d) 30 cm²

Step-by-step explanation:

c)

You can do this 2 different ways. Either way, you need to use the bottom side of 8 cm and the two congruent segments. Each of the two congruent segments of the bottom side measures 4 cm.

Method 1) Find the area of the large triangle and subtract from it the area of the small triangle.

area of triangle = bh/2

shaded area = 8 cm × 6 cm / 2 - 4 cm × 3 cm / 2

shaded area = 24 cm² - 6 cm²

shaded area = 18 cm²

Method 2) The shaded region is a trapezoid with parallel bases of lengths 3 cm and 6 cm and height 4 cm. Find the area of the trapezoid.

area of trapezoid = (B + b)h/2

shaded area = (6 cm + 3 cm)(4 cm)/2

shaded area = (9 cm)(4 cm)/2

shaded area = 18 cm²

d)

The area of the shaded region is the area of the white triangle subtracted from the area of the rectangle.

area of rectangle = length × width

area of triangle = bh/2

shaded area = (12 cm)(4 cm) - (9 cm)(4 cm)/2

shaded area = 48 cm² - 18 cm²

shaded area = 30 cm²

Answer:

See below

Step-by-step explanation:

Basically, when you have a product to two factors set equal to 0, you can use the Zero Product Property and make two separate equations, both set equal to 0, to find the roots for each factor:

[tex]2x+10=0\\2x=-10\\x=-5[/tex]

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

Notice that by plugging these roots back into the equation, either factor will be 0, making the whole expression 0:

[tex](2x+10)(x-7)=0\\(2(7)+10)(7-7)=0\\(24)(0)=0\\0=0[/tex]

[tex](2x+10)(x-7)=0\\(2(-5)+10)(-5-7)=0\\(0)(-12)=0\\0=0[/tex]

Answer:

[tex]x=3.18[/tex] [tex]cm[/tex]

Explanation:

[tex]x=3.18[/tex] [tex]cm[/tex]

Substitute [tex]y=6 cm[/tex] into  [tex]\frac{}{AC} =y:\frac{}{AC} =6cm[/tex]

Substitute [tex]0=32[/tex] into ∠[tex]CAB=0:[/tex] ∠[tex]CAB=32^o[/tex]

sinA=leg opposite ∠A/hypotenuse : [tex]sin(CAB)=\frac{\frac{}{BC} }{\frac{}{AC} }[/tex]

Substitute [tex]\frac{}{BC} =x,\frac{}{AC}=6cm,[/tex] ∠[tex]CAB=32^o[/tex]

into sin(∠[tex]CAB[/tex]) [tex]=\frac{\frac{}{BC} }{\frac{}{AC} }:sin(32^o)=\frac{x}{6}[/tex]

Calculate [tex]sin(32^o)=\frac{x}{6} :x=3.18cm[/tex]

Step-by-step explanation:

6) The sum of the length of any two sides of a triangle is always equal to the third side.

Option C 3,4,7

7) The sum of the length of any two sides of a triangle is always equal to the third side.

Option B 5 units

8) The sum of the length of any two sides of a triangle is always equal to the third side.

Option D 13 units

9) The sum of the length of any two sides of a triangle is always equal to the third side.

Option A 5<x<13

Answer:

12

Step-by-step explanation

Answer:

Jamel work one job per hour pays =$10

Jamel work Another pays=$15

Jamel Uniform costs=$50

Total situation=$7,500