The population of a city is given by P(t) = Poe
-0.04t where t is time measured in years and
P0 is the population at time t=0. Assume that Po = 1,000,000.
a. Find the population when t=3.
b. During what year will the population drop below 750,000. (solve an equation, no
guess-and-check)

Answer:

The total number of students that are in Ms. Cunningham's class is 30 students

Step-by-step explanation:

the number of boys are represented by X
18 divided by 3 is 6
2 times 6 is 12.
12 plus 18 is 30.

Total number of students = 12 + 18 = 30

Answer:

C

Step-by-step explanation:

30, 32, 33, 33, 34, 37, 39, 41, 43, 47, 49, 52, 53, 57

Middle numbers: 39 + 40 = 80/2 = 40

Highest number: 57

Lowest number: 30

I hope this helps!

Answer:

The answer is 2 and (-9)

Step-by-step explanation:

x² + 7x – 18 = 0

x² + 9x – 2x – 18 = 0

x(x + 9) – 2(x + 9) = 0

(x – 2) (x + 9) = 0

x = (2, -9)

Thus, The zeroes of the polynomial is 2 and (-9).

Answer:

30.4

Step-by-step explanation:

17+28+32+35+59+20+19+33+30+31=304

304/10=30.4

The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

⇒ ABCD is a parallelogram.

Now, We have complete table is,

Statements                        Reasons

1) AD || BC                     Definition of parallelogram.

2) ∠ADB ≅ ∠CBD          Alternate interior angle theorem.  

3) AB || CD                    Definition of parallelogram.

4) ∠ABD ≅ ∠CDB         Alternate interior angle theorem.  

5) DB ≅ DB                  Reflexive property of congruence.

6) ΔABD ≅ ΔCDB         By SAS congruency theorem.

Thus, The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

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Answer:

[tex](x \: y)= ( \frac{379}{107} \: \frac{199}{107} )[/tex]

Step-by-step explanation:

i hope it's to help

Answer:

n is 68 and m is 44

Step-by-step explanation:

Answer: 76 meters

Step-by-step explanation:

top side left blank = 18 because it is congruent to the bottom

left side blank is 4 + 4 + 4 (right side lengths added)

left side blank is 12

add all side lengths together for perimeter

12 + 18 + 4 + 8 + 4 + 8 + 4 + 18 = 76

76 meters

Answer:

They do not pay the same amount. Manuel's family pays more than Amelia's.

Step-by-step explanation:

General:

Child: c

Adult: 4 + c

Senior: 3 + c

Amelia's Family:

Total cost = 3(c) + 2(4 + c)

= 3c + 8 + 2c

= 5c + 8

Manuel's Family:

Total cost: 2(c) + 4 + c + 2(3 + c)

= 2c + 4 + c + 6 + 2c

= 5c + 10

[tex]~~~~~~V = 4.19 \\\\\implies \dfrac{4}3 \pi r^3 = 4.19\\\\\implies r^3 = \dfrac{4.19 \times 3}{4\pi}\\\\\implies r^3 = \dfrac{12.57}{4\pi} \\\\\implies r = \sqrt[3]{\dfrac{12.57}{4\pi}}\\\\\implies r= 1.00009..\\\\\implies r \approx 1~ m[/tex]

The value of radius of water-walking ball is,

⇒ r = 1.003 m

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A water-walking ball has a volume of approximately 4.19 m³.

Since, We know that;

Volume of sphere = 4/3πr³

Hence, We get;

⇒ 4.19 = 4/3 × 3.14 × r³

⇒ r³ = 1.001

⇒ r = 1.003 m

Thus, The value of radius of water-walking ball is,

⇒ r = 1.003 m

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Answer:

Answer:

8

Step-by-step explanation:

a*b=72

a=9

9*b=72

b=72/9

b=8

Answer:

hundredth place

Step-by-step explanation:

because ummmm yeah

Answer: Yes

Step-by-step explanation:

If you were to use AAS, you could prove the third pair of angles congruent by using the fact that the sum of the measures of the angles of a triangle is 180 degrees, and since you have two of the angles, you can solve for the third pair of angles, which would be congruent.

Explanation:

Plot all of the data points on the same xy grid as shown below.

I used GeoGebra to make the diagram.

The points seem to be randomly scattered about without any apparent pattern (though there might be some symmetry going on). The data does not seem to be periodic.

Periodic data repeats itself at some point in time, for example like a waveform pattern, which unfortunately these data points don't reflect.

Question 1 Answer:

Aunt 1 and Grandma 1 would fill gift bags.

Mom and Aunt 2 would make centerpieces.

You and Grandma 2 would blow up balloons.

Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.

Question 2 Answer:

We use algebra and our previous pairings to determine the length of each task.

Gifts Bags --> 6/7 hours

x = time together

[tex]\frac{1}{x}[/tex] = rate of completion

Aunt 1 = [tex]\frac{1}{1.5}[/tex] Grandma 1 = [tex]\frac{1}{2}[/tex]

[tex]\frac{2}{3} +\frac{1}{2} = \frac{1}{x}[/tex]

[tex]\frac{7}{6} = \frac{1}{x}[/tex]

[tex]x = \frac{6}{7}[/tex]

Centerpieces --> 7/4 hours

x = time together    [tex]\frac{1}{x}[/tex] = rate of completion

Mom = [tex]\frac{1}{3.5}[/tex] Aunt 2 = [tex]\frac{1}{3.5}[/tex]

[tex]\frac{2}{7} + \frac{2}{7} = \frac{1}{x}[/tex]

[tex]\frac{4}{7} = \frac{1}{x}[/tex]

[tex]x = \frac{7}{4}[/tex]

Balloons --> 15/16 hours

x = time together    [tex]\frac{1}{x}[/tex] = rate of completion

You = [tex]\frac{1}{1.5}[/tex] Grandma 2 = [tex]\frac{1}{2.5}[/tex]

[tex]\frac{2}{3} + \frac{2}{5} = \frac{1}{x}[/tex]

[tex]\frac{16}{15} = \frac{1}{x}[/tex]

[tex]x = \frac{15}{16}[/tex]

Shortest amount of time to complete all tasks is:

[tex]\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}[/tex]  ≈ 3.54 hours

Converting hours to hours and minutes --> 3 hours 32 minutes

Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.

Answer:

10 ft

Step-by-step explanation:

Given:

Plug in the values given:

Cancel π from both sides and simplify:

Answer:

The height of the cone if the radius is 6ft is,

⇒ h = 3.18 feet

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

An orange cone has a exact volume of 120π ft³.

And, The radius = 6 feet

Now, We know that;

Volume of cone = πr²h/ 3

Hence, We get;

⇒ 120 = 3.14 × 6² × h / 3

⇒ 120 = 3.14 × 12h

⇒ 120 = 37.68h

⇒ h = 3.18 feet

Thus, The height of the cone if the radius is 6ft is,

⇒ h = 3.18 feet

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Answer:

option c

Step-by-step explanation:

Area of triangle:

a = 2 and c = 3

base = 6ac²

         = 6 *2 * 3 * 3

        = 108 cm

height = base + 3

          = 108 + 3

          = 111 cm

[tex]\boxed{\text{Area of a triangle = $ \dfrac{1}{2}*base*height$}}[/tex]

                              [tex]=\dfrac{1}{2}*108*111\\\\\\= 54*111\\\\=5994 \ cm^{2}[/tex]

Answer:

5,994 cm²

Step-by-step explanation:

Formula

Given

Solving

Answer:

the answer is x= -6 and y= -13

The length of the rectangular table the carpenter builds given the scale is 110 feet

A scale drawing is a smaller version of a larger image. The scale drawing is usually reduced at a constant dimension

Length of the table = (11 x 7 1/2) ÷ 3/4

(11 x 15/2) x 4/3 = 660/6 = 110 feet

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Answer: I think its D

Step-by-step explanation:

Formula : V = πr²h/3

Fill in the values.

(3.14)(4)^(2)(6/3)

V=100.48 yd^3

Answer: c. Step-by-step explanation:

Answer:

P'Q' ⇔ 8 cm

A'B' ⇔ 6 cm

M'N' ⇔ 12 cm

Step-by-step explanation:

A dilation with a scale factor of 4 is applied to the three line segments PQ, AB and MN.

The length of PQ is given as: 2 cm.

The length of line segment AB is given as: 1.5 cm

The length of line segment MN is given as: 3 cm.

Now as there is a dilation with a scale factor of 4 to all the line segments this means that the resulting image will have length 4 times the length of these line segments.

PQ → P'Q'

⇒ Length of P'Q'= 8 cm.   ( since 4×2=8)

AB → A'B'

⇒ Length of A'B'= 6 cm.   ( since 1.5×4=6)

MN → M'N'

⇒ Length of M'N'= 12 cm.   ( since 4×3=12)

Hence,

P'Q' ⇔ 8 cm

A'B' ⇔ 6 cm

M'N' ⇔ 12 cm

As no points are shown so only steps can be provided to solve

So if A(x,y) is dilated by scale factor 4 then 4 is multiplied with A(x,y)

So new coordinates are (4x,4y)

So

if length of segment was x then after dilation new length is 4x

Answer: 6.9

Step-by-step explanation:

Solve for the hypotenuse in the smaller triangle 5.83

Solve for x²= 9² - 5.83² = 81 - 33.99

X² = 47.01

Answer:

6.2

Step-by-step explanation:

I don't think you need my explanation anymore.

Answer:

Yes

Step-by-step explanation:

Linear equations are equations in which the highest power of the equation is always 1, they look like a straight line when put on graph and they usually have this form: y = ax + b

y = 5x + 1 is a good example of a linear equation but they may also look like: y = 2x (b = 0) or y = x + 3 (a = 1).

Answer:

1/5

Step-by-step explanation:

because 3/5*1/3=1/5

Please mark as brainliest

Answer:

18

Step-by-step explanation: