recognizing the no-solution case algebraically
need geometry help!!

Step-by-step explanation:

okay. The sequence is 2 6 18 54 162

Divide 6 by 2 to get 3. Divide 18 by 6 to get 3.

The pattern is that the next number will always be the previous number times 3.

So if you keep going,

2

6

18

54

162

486

1458

4374

13122

39366

118098

354294

1062882

3188646

9565938

28697814 is the 16th term

Hey there!

The sequence is multiplying by 3...

1) 2

2) 6

3) 18

4) 54

5) 162

6) 486

7) 1,458

8) 4,374

9) 13,122

10) 39,366

11) 118,098

12) 354,294

13) 1,062,882

14) 3,188,646

15) 9,565,938

16) 286,978,14

The 16th term is 286,978,14

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

Answer:

83 in²

Step-by-step explanation:

To calculate, add the areas of all three shapes that make up the polygon.

Area of rectangle = L×W = 5×8 = 40 in².

Area of top triangle = 1/2×b×h = 1/2×8×7=28 in².

Area of triangle on the right = 1/2×6×5 = 15 in².

Total area = 40+28+15 = 83 in²

Answer:

17 1/2 or 17.5

Step-by-step explanation:

35/100×50

35/2=17 1/2 or 17.5

Answer:

y=(3/8)x+5.75

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

m=(8-5)/(6+2)=3/8

y=mx+b

5=3/8(-2)+b

5=-3/4+b

b=5.75

y=mx+b

y=(3/8)x+5.75

Answer:

A, B, D

Step-by-step explanation:

It's not C because the correlation coeffecient connot be greater than 1 or less than -1.

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

7.75 × 10^−3

7.75 x 10^-3 in standard notation is 0.775

Answer:

45 minutes have passed

Step-by-step explanation:

1 degree = 1 minute

Answer:

23

Step-by-step explanation:

Let n be the number

n+15 = 38

Subtract 15 from each side

n+15-15 = 38-15

n =23

The number is 23

Answer:

y = -x - 1

Step-by-step explanation:

To find out how much liquid Greta's family consumes weekly, we sum up 3 1/4 quarts of milk and 1 5/6 quarts of juice. After converting them to have a common denominator and adding, we determine the total consumption is about 5 1/12 quarts per week.

The question: How much more does Greta's family drink in one week, if they consume 3 1/4 quarts of milk and 1 5/6 quarts of juice? To find the total amount of liquid Greta's family drinks in a week, we need to add the quarts of milk to the quarts of juice. Since these are fractional amounts, let's start by finding a common denominator. For fractions with denominators 4 and 6, the common denominator would be 12. Convert 3 1/4 quarts of milk to 13/4, which is equivalent to 39/12 quarts. Convert 1 5/6 quarts of juice to 11/6, which is equivalent to 22/12 quarts. Now that we have a common denominator, we can add these two amounts together.

Addition of fractions with common denominators:

Adding these we get 39/12 quarts + 22/12 quarts = 61/12 quarts. To convert this into a mixed number, we divide 61 by 12, which gives us 5 with a remainder of 1, so we have 5 1/12 quarts. Therefore, Greta's family drinks a total of about 5 1/12 quarts of milk and juice in a week.

Step-by-step explanation:

Create an equation such that x equals the decimal number.

Count the number of decimal places, y. Create a second equation multiplying both sides of the first equation by 10y.

Subtract the second equation from the first equation.

Solve for x.

Reduce the fraction.

The correct answer is 950 miles because $457.50 - $220.00 = $237.50 and $237.50 divided by $0.25 = 950

Hope this helps.

If a car rental agency charges $220.00 per week and an additional $0.25 per mile, you could travel up to 950 miles in one week for a total cost of $457.50. The calculation was done by subtracting the base fee from the total budget and then dividing it by the cost per mile.

The subject here is how to solve an algebraic problem involving the cost of car rental and the distance traveled. In this situation, the rental car agency charges a weekly rental fee of $220.00 and an additional $0.25 cost per mile driven. So to find out how many miles can be driven in a week for a total cost of $457.50, we'll need to perform a two-step calculation.

First, subtract the base fee from the total amount: $457.50 - $220.00 = $237.50. This is the total amount you have left for the mileage cost.

Second, divide this amount by the cost per mile. So, $237.50 / $0.25 = 950 miles. Therefore, for a total cost of $457.50, you could travel up to 950 miles in one week.

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Answer:

22

Step-by-step explanation:

A possible value of b is 22, since [tex]\sqrt{b}[/tex] = 4.69.

Answer:

20.25 < b < 24.1

Step-by-step explanation:

Any number between these numbers can be a value for b.

Hope this helps! :)

We need to first find the perimeter, so 2(20+38) = 116 feet

Next we multiply 116 by 22 to get $2552

Answer:

Cost to fence the rectangular pool = $2552

Step-by-step explanation:

To find the cost to fence the rectangular pool, we need to find the perimeter of the rectangular pool.

Given: length = 38 feet and wide = 20 feet

Perimeter of a rectangle = 2(length + width)

Now plug in the given values in the above formula, we get

Perimeter of the rectangle pool = 2 (38 + 20)

= 2(58)

= 116 feet

A fencing company charges $22 per foot to install a wood fence.

To fence 116 feet, we need to multiply $22 and 116.

Cost to fence the rectangular pool = $22*116 = $2552.

Answer:

Option D. two complex roots

Step-by-step explanation:

we know that

In a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] the discriminant D is equal to

[tex]D=(b^{2}-4ac)[/tex]

in this problem we have

[tex]3x^{2} -2x+1=0[/tex]  

so

[tex]a=3\\b=-2\\c=1[/tex]

substitute the values

[tex]D=(-2^{2}-4(3)(1))[/tex]

[tex]D=(4-12)[/tex]

[tex]D=-8[/tex]

The discriminant is negative

therefore

The quadratic equation has two complex roots

Final answer:

The equation 3x² - 2x + 1 = 0 has a negative discriminant of -8, indicating that it does not have real roots but instead has two complex roots.Therefore, the correct answer is D. two complex roots.

Explanation:

To determine the nature of the roots for the equation 3x²- 2x + 1 = 0, we need to calculate the discriminant, which is given by b² - 4ac. Here, a = 3, b = -2, and c = 1. Substituting these values into the discriminant formula gives us (-2)² - 4(3)(1) = 4 - 12 = -8. Since the discriminant is negative, the equation does not have real roots. Instead, it has two complex roots.

Therefore, the correct answer is D. two complex roots.

Answer:

81 million

Step-by-step explanation:

A = Pe^rt

Let's break this equation down.

A is the total you will have.

P is the starting value.

R is the rate

T is the time.

Let's find the rate first.

74000000 = 70000000e^7r

Divide each side by 70mil

74000000/70000000 = e^7r

Then take the ln() of each side.

ln(74000000/70000000) = 7r

0.0556 = 7r

r = 0.0079

Now we can find how many people will be there in 2010.

A = 70,000,000e^(19 * 0.0079)

A = 81336530.2373

Now we round to the nearest million, leaving us with 81 million.

Answer:

The value of b = 1/36

As exponent decreases, each previous value is divided by 6

If the table was extended, the value of 6^-3 would be 1/216

Step-by-step explanation:

Given in the question a table containing power of 6

We will use negative rule of exponent to write the equivalent of negative power of 6

b^{-n}= 1 / b^{n}

we know that

[tex]6^{1}=6[/tex]

so

[tex]6^{-1} =\frac{1}{6^{1} }[/tex]

= 1/6

and

[tex]6^{2} = 36[/tex]

So,

[tex]6^{-2} = \frac{1}{6^{2} }[/tex]

=

[tex]\frac{1}{36}[/tex]

Answer: Its already done up but, in case your wondering if it is correct on

E d g e n u i t y, it is I did the test with that question and and use the answer above and it was correct.

Could you post a picture of the problem please?

Answer:

180

Step-by-step explanation: 30 + 150 = 180

Answer:

9

Step-by-step explanation:

A) 6 square units :)

Answer:

Total area of figure =  6 square units.

Step-by-step explanation:

Given : geometric figure.

To find : Which BEST approximates the area of the geometric figure.

Solution : We have given that geometric figure.

We can see from given figure there are 2 full square and 4 half square and 2 more than half square and 2 square are less than half cover in closed figure.

Since , we ignore the square less half square,

Then area 2 full square =  2 units.

Area of 4 half square  = 2 units.

2 more than half square =  2 units.

Total area of figure = 2 +2 + 2 = 6 square units.

Therefore, Total area of figure =  6 square units.

Answer:

3.5

Step-by-step explanation:

we can do proportions

12/16 = 10.5/4x

cross multiply

x = 3.5

Answer:

108

Step-by-step explanation:

Answer:

6^2 x 3

Step-by-step explanation:

Sample

Answer:

(x - 5)² + (y + 2)² = 9

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (5, - 2) and r = 3, thus

(x - 5)² + (y - (- 2))² = 3², that is

(x - 5)² + (y + 2)² = 9 ← equation of circle

Answer:

10,648

Step-by-step explanation:

The total number of residents is 24,200.

The probability that a resident is from the central region is 0.44.

To find the number of residents in the central region, we multiply the corresponding probability by the total number of residents.

The number of people who live in the central region is

[tex]=0.44\times 24,200[/tex]

[tex]=10,648[/tex]

Answer:

Part a) [tex]114.3\ yd^{2}[/tex]

Part b) [tex]49.5\ yd^{2}[/tex]

Step-by-step explanation:

Part a) we know that

The area of the shaded figure is equal to the area of semicircle plus the area of a triangle

Find the area of semicircle

The area of a semicircle is equal to

[tex]A=\frac{1}{2}\pi r^{2}[/tex]

we have

[tex]r=5\ yd[/tex]

substitute

[tex]A=\frac{1}{2}\pi (5)^{2}=12.5 \pi\ yd^{2}[/tex]

Find the area of triangle

The area of the triangle is equal to

[tex]A=\frac{1}{2}(b)(h)[/tex]

we have

[tex]b=15\ yd[/tex]

[tex]h=5(2)=10\ yd[/tex] -----> the height of triangle is equal to the diameter of semicircle

substitute

[tex]A=\frac{1}{2}(15)(10)=75\ yd^{2}[/tex]

Find the area of the shaded figure

[tex]12.5 \pi\ yd^{2}+75\ yd^{2}=(12.5 \pi+75)\ yd^{2}[/tex]

assume

[tex]\pi=3.14[/tex]

[tex](12.5(3.14)+75)=114.3\ yd^{2}[/tex]

Part b) we know that

The area of the shaded figure is equal to the area of the triangle minus the area of the circle

Find the area of the circle

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=5\ yd[/tex]

substitute

[tex]A=\pi (5)^{2}=25 \pi\ yd^{2}[/tex]

Find the area of triangle

The area of the triangle is equal to

[tex]A=\frac{1}{2}(b)(h)[/tex]

we have

[tex]b=16\ yd[/tex]

[tex]h=16\ yd[/tex]

substitute

[tex]A=\frac{1}{2}(16)(16)=128\ yd^{2}[/tex]

Find the area of the shaded figure

[tex]128\ yd^{2}-25 \pi\ yd^{2}=(128-25 \pi)\ yd^{2}[/tex]

assume

[tex]\pi=3.14[/tex]

[tex](128-25(3.14))=49.5\ yd^{2}[/tex]

a) The area of the shaded figure [tex]114.3yd^{2}[/tex]

b) The area of the shaded figure=[tex]49.5yd^{2}[/tex]

Part a) The area of the shaded figure= (the area of semicircle)+ (the area of a triangle)

Area of semicircle= [tex]A=\frac{\pi r^{2} }{2}[/tex] where r = radius = 5

[tex]A=\frac{\pi 5^{2} }{2} =39.3 yd^{2}[/tex]

The area of the triangle= [tex]\frac{1}{2} base *height[/tex]

base = 15

height=10

The area of the triangle= [tex]\frac{1}{2}*15 *10 =75 yd^{2}[/tex]

The  area of the shaded figure=39.3+75= [tex]114.3yd^{2}[/tex]

Part b) The area of the shaded figure =( the area of the triangle) -(area of the circle)

The area of the triangle=[tex]\frac{1}{2} base *height[/tex]

base and height = 16

Area=[tex]\frac{1}{2} *16*16=128yd^{2}[/tex]

The area of the circle=[tex]\pi r^{2} =3.142*5^{2} = 78.55 yd^{2}[/tex]

[tex]128 yd^{2} -78.55 yd^{2} =49.5yd^{2}[/tex]

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There’s no figure with this post. How do you expect me to answer this question? That said, they are similar because they have a consistent scale factor for each side. Though they are similar, they are not congruent

D is an irrational number because it equals 0.577350269

Answer:

D

Step-by-step explanation:

the square root of 9/27 will equal to square root of 3 over 3.

A will simplify to 2/3.

B will simplify to 1/3.

C will simplify to 3/4.

As long as the number has a square root somewhere in the final answer, it will be irrational.

➷ Find the area of the rectangle first:

Area of rectangle = length x width

Substitute the values in:

Area = 8 x 16

Area = 128

Now find the area of the triangle:

Area = (b x h)/2

Area = (1.5 x 6) / 2

Area = 4.5

As there are two right triangles, multiply this value by 2

4.5 x 2 = 9

Add this value to the area of the rectangle:

128 + 9 = 137

The area is 137 square feet.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Im sure it’s 137 square feet.

Answer:

Draw a line. Label one endpoint M and the other P. Go half way between the two and label it O.

34z = 36z - 7

MO = 119

Step-by-step explanation:

A line segment with a midpoint means the segment has been divided into two equal segments. This means each segment is equal to the other OM = OP.

You can solve for z by setting them equal to each other.

34z = 36z - 7

-2z = -7

z = 7/2

To find MO, substitute z = 7/2 into the equation OM = 34z.

OM = 34(7/2) = 238/2 = 119

Answer:53 degrees

Step-by-step explanation:if a triangle is 180 degrees in total and you are tying to find out how many more degrees you need to make 180 degrees you need to add 45+82=127 degrees then you will subtract 180-127=053 degrees

Your Welcome!

Answer: 53°

Here’s why,

A triangle is 180°

The two angles 82 and 45 need to be added:

82+45= 127

Then, subtract 180 and 127

180-127= 53