One tool used in genetics is called a pedigree chart,are there any advantages to using this tool?The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000 people in the city. Write an exponential growth function to model this situation. Then find the population in 2009.

Answer:

b) 42°

Step-by-step explanation:

When two triangles share the same base (in this case,  side QR), one angle is half of the other one. In this case:

1/2*∠QPR = ∠QSR

From the picture,

∠QSR = 21°

Replacing into the equation and solving for ∠QPR:

∠QPR = 2*21° = 42°

Answer: x = 24

Step-by-step explanation:

9x - 18 = 7x + 30

9x - 7x = 30 + 18

2x = 48

x = 48/2 = 24

Answer:

[tex]\mathrm{Decimal:\quad }\:38.8[/tex]

Step-by-step explanation:

[tex]\frac{\left(3-11\right)^2+\left(5-11\right)^2+\left(13-11\right)^2+\left(14-11\right)^2+\left(20-11\right)^2}{5}\\\left(3-11\right)^2+\left(5-11\right)^2+\left(13-11\right)^2+\left(14-11\right)^2+\left(20-11\right)^2=194\\\left(3-11\right)^2+\left(5-11\right)^2+\left(13-11\right)^2+\left(14-11\right)^2+\left(20-11\right)^2\\\left(3-11\right)^2=64\\\left(3-11\right)^2\\\mathrm{Subtract\:the\:numbers:}\:3-11=-8\\=\left(-8\right)^2[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad\left(a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}\\\left(-8\right)^2=8^2\\8^2=64\\\left(5-11\right)^2=36\\\left(5-11\right)^2\\\mathrm{Subtract\:the\:numbers:}\:5-11=-6\\=\left(-6\right)^2\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}\\\left(-6\right)^2=6^2\\=6^2\\6^2=36\\\left(13-11\right)^2=4\\\left(13-11\right)^2\\\mathrm{Subtract\:the\:numbers:}\:13-11=2\\=2^2\\2^2=4\\\left(14-11\right)^2=9[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:14-11=3\\=3^2\\3^2=9\\\left(20-11\right)^2=81\\\left(20-11\right)^2\\\mathrm{Subtract\:the\:numbers:}\:20-11=9\\=9^2\\9^2=8\\=64+36+4+9+81\\\mathrm{Add\:the\:numbers:}\:64+36+4+9+81=194\\=194\\=\frac{194}{5}\\\mathrm{Decimal:\quad }\:38.8[/tex]

Answer:

True

Step-by-step explanation:

Answer:

Hai

Yes, its true.

because in 21, there are 4 times of 5 and we have left 1 number..

you can multiply -4 with 5 and add the number of the denominator (1)

i wanna give one more example because couldnt explained well.

3 2/3 can be written as 11/3.

you can try it too!

good luck(:

Answer:

See explanation

Step-by-step explanation:

[tex](x^2+9x+10)(x-2)= \\\\x^3-2x^2+9x^2-18x+10x-20= \\\\x^3+7x^2-8x-20[/tex]

Jimmy is incorrect.

Using long division, you can find that the real answer.

First, subtract [tex]x^2(x-2)[/tex] from the original expression, leaving you with [tex]9x^2+2x-40[/tex].

Next, subtract [tex]9x(x-2)[/tex] from the expression, leaving you with [tex]20x-40[/tex]. Finally, subtract [tex]20(x-2)[/tex] from the expression, leaving you with a remainder of 0. This means that the real quotient is [tex]x^2+9x+20[/tex]. Hope this helps!

Answer:

6.03

Step-by-step explanation:

'6' would be a whole number. When stating decimals, you would say the whole numbers before 'and'.

For example: 5.6 would be 'five and six tenths'. Note that five is before 'and'.

'Three hundredths' would be .03.

Therefore:

"Six and three hundredths" would be '6.03'.

Answer:

The last one

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

V=πr2h=π·22·3≈37.69911

Answer:

10100=15700(1-0.075)^x

10100=15700(0.925)^x

divide both sides by 15700

0.925^x=101/157

convert decimal

(37/40)^x=101/157

take the log

x= log 37/40 (101/157)

x= 5.65824

It will take almost 6 years to depreciate the value of the car to 10100 dollars.

Answer:

3

Step-by-step explanation:

1, 5, 25

Answer:

36.5 degrees

Step-by-step explanation:

angle abc is a straight angle ( which is 180 degrees )therefore:

angle ABD + angle DBC = angle ABC

substituting the given measurements gives us=

3x + 22 + x - 4 = 180

4x = 162

x = 40.5

the question asks us to find measure of angle DBC so we substitute x which =

measure DBC = x - 4

measure DBC = 40.5 - 4

measure DBC = 36.5 degrees

hope this helps!! :)

Answer:

D

Step-by-step explanation:

Subtraction

Answer:

C

Step-by-step explanation:

A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix.

Focus  is the name of the point that you use to define a parabola

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped

A parabola is a symmetrical U-shaped curve that can be defined as the set of all points that are equidistant to a fixed point (called the focus) and a fixed line (called the directrix).

The vertex is the point where the parabola changes direction and is located halfway between the focus and the directrix.

The center is a term used to refer to the midpoint of the line segment connecting the two foci of an ellipse or hyperbola, and is not relevant to a parabola.

Hence,  Focus  is the name of the point that you use to define a parabola

To learn more on Parabola click:

https://brainly.com/question/31142122

#SPJ5

Answer: 97.6 in3

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of the cylinder and subtract the volume of the cone:

Volume of a cylinder: π (diameter /2) ^2 (height)

Vcy = π (4 /2) ^2 (8) = π (2) ^2 (8) =100.5 in3

Volume of a cone = 1/3 π (diameter /2) ^2 (height)

V Co = 1/3 π (4/2) ^2 (0.7) = 1/3 π (2) ^2 (0.7) = 2.9 in3

Finally:

Volume of the cylinder - volume of the cone = 100.5-2.9 = 97.6 in3

Feel free to ask for more if needed or if you did not understand something.

Answer:

1+12x or

13

Step-by-step explanation:

If the x is an expression then

4+ (-3) - 2x (-6)

remove first parenthesis

4-3-2x(-6)

2 negatives = a postive

4-3+2x*6

multiply

4-3+12x

substract

1+12x

4+ (-3) - 2x (-6)

remove first parenthesis

4-3-2*(-6)

multiply

4-3+12

substract

1+12

add

13

Answer:

The answer is A

Answer:

-3x - 2 = -20

Add 2 on both sides

-3x=-18

Divide by -3 on both sides

X=​6

Answer:

Step-by-step explanation:

-3x - 2 = -20

Add  2 to both sides

-3x - 2 + 2 = - 20+ 2

-3x = -18

Divide both sides by (-3)

[tex]\frac{-3x}{-3}=\frac{-18}{-3}[/tex]

x = 6

Answer:

10/3

Step-by-step explanation:

6:2 ratio

so 6+4=10 is 10:x

6:2=3:1

multiply 10/3, and it's 10:10/3

Answer: 7095.4

Because the digits following 7095 are .38, you would need to round the 3 to a 4 to get the nearest tenth

Answer:

26

Step-by-step explanation:

Answer:

C. 60°

Step-by-step explanation:

Read the marking on the protractor.

Hope it helps

Good luck on your assignment

Answer:

230

Step-by-step explanation:

multiply 6,400 by 5% then multiply that by the 1 year and 230 will be the answer

Hope this helps :)

Answer:127.5∘

Step-by-step explanation:

The angle measure between any two consecutive numbers on a clock is 36012=30∘.

Call the "12" point on the clock the zero-degree point.

At 4:45, the minute hand is at the "9" - that is, at the 30×9=270∘ mark. The hour hand is three-fourths of the way from the "4" to the "5; that is,

30×434=142.5∘ mark.

Therefore, the angle between the hands is

270−142.5=127.5∘, the desired measure.

Answer: the answer is

C. 12

Answer:

12

Step-by-step explanation:

12 is the answer I got.

Answer:

Width of field  = 50 yards

Length of Yards =  106 yards

Step-by-step explanation:

Let the width of field be x yards

given that "The length of a new rectangular playing field is 6 yards longer than double the width"

Length of Yards= 2*width of field + 6 = 2x+6 yards

perimeter of the rectangular playing field  = 312 yards

We know that perimeter of rectangle is given by 2(length + width ).

Since field is rectangular then

2(length + width ) = 312

2(x+2x+6) = 312

=> 3x+6 = 312/2 = 156

=> 3x = 156 - 6 = 150

=> x = 150/3 = 50

Thus,

Width of field is x = 50 yards

Length of Yards=  2x+6 yards = 2*50+6  yards = 106 yards

Answer:

Step-by-step explanation:

5 horses are spotted, out of 15 total.

5/15 = 1/3

I'm always happy to help :)

Answer:

B.

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

Answer:

Substitution

Step-by-step explanation:

We know that B equals five, and that a + b = c. This means that if we substitute 5 for b, the equation will still be true. Hope this helps!

Answer:

Substitution

Step-by-step explanation:

you substituted b for 5 in the equation

Hope this helped and brainliest plss

-625 × -5 + 95 × 625

= 62,500

Answer:

A

Step-by-step explanation: