Conrad starts with
35 pieces of gum
and chews 2 pieces
each day.
what expression could
represent the amount of gum
Conrad has after x days?

y=20[tex]2.7^{x}[/tex] is the equation models that describes the growth rate of metal whose initial quantity is 20 units.

It is inverse of the logarithmic functions.

We have been given the initial quantity of metal which is 20 units

and it is growing exponentially at a rate of 17% for time x

So the required equation will be y=20 *e to the power x*17%

value of e is 2.718. so the equation becomes y=20(2.7)to power x

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Answer:

2 7/76 kg

Step-by-step explanation:

Let the weight of

Watermelons = x

Coconut = y

There are 10 2/15 kg of watermelons and coconuts on a truck.

x + y = 10 2/15

x = 10 2/15 - y

x = 152/15 - y.... Equation 1

The weight of the watermelons is 3 3/5 times that of the coconuts.

x = 3 3/5 × y

x = 18/5 × y

x = 18y/5

How heavy are the coconuts on the truck, in kg?

Find y

We substitute 18y/5 for x in Equation 1

x = 152/15 - y

18y/5 = 152/15 - y

18y /5 + y = 152/15

Multiply through by 15

18y/5 × 15 + y × 15 = 152/15 × 15

3 × 18y + 15y = 152

54y + 15y = 152

69y = 152

y = 152/69

y = 2 14/152

y = 2 7/76 kg

Therefore, the weight of the coconuts are 2 7/76 kg

Answer and Step-by-step explanation:

The answer is parallelograms.

This is because they all have 4 sides and have 2 pairs of parallel sides, which is enough to say that it is a parallelogram.

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

As,

In the picture there is a parallelogram, rhombus, rectangle and a square.

We know,

Properties of parallelogram:-

All the above conditions are also same In a rhombus, rectangle and a square.

Hence,

Parallelogram best describes all the above shapes

To Find :

The area of triangle whose side are 4 yard, 14 yard and 17 yard.

Solution :

We will use Heron's formula to find area of the triangle.

So,

[tex]s = \dfrac{a+b+c}{2}\\\\s = \dfrac{4+14+17}{2}\\\\s = 17.5[/tex]

Now, heron's formula is :

[tex]A = \sqrt{s(s-a)(s-b)(s-c)}[/tex]

Putting all given values in above equation :

[tex]A = \sqrt{17.5\times (17.5-4)\times(17.5-14)\times(17.5-17)}\\\\A = \sqrt{17.5\times 13.5\times 3.5\times 0.5}\\\\A = 20.33\ yard^2[/tex]

Hence, this is the required solution.

Answer:

Hello! answer: base = 47

Step-by-step explanation:

area = base × height ÷ 2 or base × height × 1/2

Answer:

The height of the square pyramid is 9.8 in.

Step-by-step explanation:

Given;

area of the square pyramid, A = 96 in²

base length, a = 4 in

height of the pyramid, h = x in

The surface area of the pyramid is calculated as follows;

[tex]SA = a^2 + 2a \sqrt{\frac{a^2}{4} + h^2} \\\\96 = 4^2 + 2(4)\sqrt{\frac{4^2}{4}+ x^2} \\\\96 = 16 + 8\sqrt{4+ x^2} \\\\96-16 = 8\sqrt{4+ x^2}\\\\80 = 8\sqrt{4+ x^2}\\\\\frac{80}{8} = \sqrt{4+ x^2}\\\\10 =\sqrt{4+ x^2}\\\\ (10)^2 = 4+ x^2\\\\100 = 4 + x^2\\\\ x^2 = 100-4\\\\x^2 = 96\\\\x = \sqrt{96} \\\\x = 9.80 \ in[/tex]

Therefore, the height of the square pyramid is 9.8 in.

Answer:

The Lateral Surface Area is 911.32 square unit and

Total Surface Area is 1361.7 square unit.

Step-by-step explanation:

For a given Cone

Radius (r) = 12

Height (h) = 21

For Lateral Surface Area

A = πr√r² + h²

A = 3.14 × 12 × √(12)² + (21)²

A = 3.14 × 12 × √144 + 441

A = 3.14 × 12 × √585

A = 37.68 × 24.18

A = 911.32 square unit

Now,

For Total Surface Area

A = πrl + πr²

For Slant height (l)

l² = r² + h²

l² = (12)² + (21)²

l² = 144 + 441

l² = 585

l = 24.18

So,

A = πrl + πr²

A = πr(l + r)

A = 3.14 × 12 × (24.14 + 12)

A = 3.14 × 12 × 36.14

A = 1361.7 square unit

Thus, The Lateral Surface Area is 911.32 square unit and Total Surface Area is 1361.7 square unit.

-TheUnknownScientist

Step-by-step explanation:

Hope it's helpful to you dear frnd ☺️

Answer:

Slope = 2, Y-intercept = (0, 5)

Step-by-step explanation:

First, isolate y by moving all other terms to the other side of the equation.

2y - 4x - 10 = 0 ⇒ 2y = 4x + 10 ⇒ y = 2x + 5

The coefficient next to the x tells you the slope and the constant on the end tells you the y-intercept.

Therefore, the slope is 2 and the y-intercept is (0, 5).

Answer:

slope=2 ,y-intercept=5

Step-by-step explanation:

2y-4x-10=0

2y=4x+10+0

2y=4x+10 .  divide both sides by 2

y=2x+5

Answer:

How to write numbers in standard form:

Write the first number 8.

Add a decimal point after it: 8.

Now count the number of digits after 8. There are 13 digits.

So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³

Step-by-step explanation:

please mark this answer as brainliest

Answer:

9

Step-by-step explanation:

All you have to do is subtract the temperatures once you get the final answer for them.

4 days, -7°C, = 43°C

5 days, -6°C, = 34°C

43 - 34 = 9

9°C = 9

~ LadyBrain

Answer:

(2,0)

Step-by-step explanation:

Answer:

Gross pay when she works 46 hours a week = 532 dollars per week

Step-by-step explanation:

Complete question

Find gross pay when she works 46 hours a week

Solution

For working hours less than or equal to 40 hours, kim earns 10.90  per hour

For working hours higher than the basic 40 hours of working, the per hour rate increases by 1.5 time = 1.5 *10.90 = 16 dollars per hour

Gross pay for 46 working hours = 40 *10.90 + 6*16 =  532 dollars per week

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A P # X

Answer:

Day  Total hours worked  regular hours        Overtime hours  

Monday              7                                        7                             0

Tuesday            10                                       8                             2

Wednesday     8                                       8                             0

Thursday     10                               8                             2

Friday              11                               8                             3

Saturday              2                                       2                             0

Step-by-step explanation:

The remaining part of the question is attached

Solution

A person can work maximum of 8 hours in a day

Overtime paid during week day = 1.5 times of $ 9.50 = $14.25

Overtime paid during weekend = 2 times of $ 9.50 = $19

Day  Total hours worked  regular hours        Overtime hours  

Monday              7                                        7                             0

Tuesday            10                                       8                             2

Wednesday     8                                       8                             0

Thursday     10                               8                             2

Friday              11                               8                             3

Saturday              2                                       2                             0

1. The regular hours that Robert LaClerq worked is 41 hours (39 for weekdays and 2 for weekend), while the overtime hours is 7 hours.

2. The calculation of Robert's regular pay is $370.50 (39 x $9.50).

3. The calculation of Robert's overtime pay during weekdays = $66.50 (7 x $9.50).

4. The calculation of Robert's overtime pay on weekends = $38.00 (2 x $19.00).

Overtime pay is the wage payment to an earner for working above the normal (regular) working hours.

Wages per hour for regular hours = $9.50

Overtime pay during weekdays = $9.50 per hour

Overtime pay during weekends = $19 per hour ($9.50 x 2)

Day               Total hours    Regular     Overtime

                      worked           hours         hours

Monday              7                   7                0 (7 - 7)

Tuesday           10                   8                2 (10 - 8)

Wednesday      8                    8                0 (8 - 8)

Thursday         10                    8                2 (10 - 8)

Friday               11                     8               3 (11 - 8)

Saturday           2                    2               0 (2 - 2)

Total hours    48                   41               7

Thus, Robert's total earnings for the week is $475 ($370.50 + $66.50 + $38.00).

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Answer:

m and 100are co-interior angles

so;

m+100=180. (being sum of co-interior angles)

m=180-100

m=80

like wise;

n=100

Answer:

Hello! answer: 180

Step-by-step explanation:

what I did to find answer is cut them into pieces I cut the m into 3 pieces and now just have to multiply my base x height so for the left one I did 12 x 6 = 72 for the middle I did 6 x 6 = 36 and for the right one I did 12 x 6 = 72 I add these up so...

72 + 36 + 72 = 180 so the surface area is 180! I hope this helps!

Answer:

g(x) = (x - a)²     or

g(x) = (x + a)²    or

g(x) = x² + a      or

g(x) = (x + b)² + a      or

g(x) = (x + b)² - a      or

g(x) = (x - b)² + a      or

g(x) = (x - b)² - a

Step-by-step explanation:

Given equation:

f(x) = x²

This is the equation of a parabola with turning points at (0,0) facing up.

Now;

g(x) which is a shifted version of f(x) will have one of many forms depending on the nature of translation.

If f(x) = x² is shifted to the right by a units, then;

g(x) = (x - a)²

If f(x) = x² is shifted to the left by a units, then;

g(x) = (x + a)²

If f(x) = x² is shifted upwards by a units, then;

g(x) = x² + a

If f(x) = x² is shifted downwards by a units, then;

g(x) = x² - a

If f(x) = x² is shifted upwards by a units and to the left by b units, then;

g(x) = (x + b)² + a

If f(x) = x² is shifted downwards by a units and to the left by b units, then;

g(x) = (x + b)² - a

If f(x) = x² is shifted upwards by a units and to the right by b units, then;

g(x) = (x - b)² + a

If f(x) = x² is shifted downwards by a units and to the right by b units, then;

g(x) = (x - b)² - a

Answer: 0.98630136986

Step-by-step explanation:

There are 365 possible birthdays. The key to assigning the probability is to think in terms of complements: “Two (or more) people share a birthday” is the complement of “All people in the group have different birthdays.” Each probability is 1 minus the other. What is the probability that any two people have different birthdays? The first person could have any birthday (p = 365÷365 = 1), and the second person could then have any of the other 364 birthdays (p = 364÷365). Multiply those two and you have about 0.9973 as the probability that any two people have different birthdays, or 1−0.9973 = 0.0027 as the probability that they have the same birthday. If you have a group of five, it would mean your equation would have to be (p=360÷365)

Answer:

988

Step-by-step explanation:

The correct sentence is "He commented that her house was no palace".

“Litotes is a figure of speech and a form of understatement in which a sentiment is expressed ironically by negating its contrary.”

A litote is an statement that expresses the affirmative by saying the negative of the contrary.

The other statements are all statements, they do not give any indication of a deeper level of meaning.

Another example of a litote is: That wasn't the messiest house I've ever seen. In this statement, the house is being described as messy by saying that it is not.

The correct sentence is "He commented that her house was no palace".

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Answer:

93.53

Step-by-step explanation:

Step-by-step explanation:

success

................

Answer:

6 cm

Step-by-step explanation:

Well let me explain... It's saying that side AB has a length of 6 cm and side BC has a length of 10 cm. So we can already start labeling the sides with their given length and actually solve for AC.

Well we don't really got much to say about AC but what we do know is that side AB and AC are equivalent. Why? Cause when there's always a triangle that has two equal sides but one side bigger, the triangle is a isosceles.

So we can say that side AB is (Δ) from the top of the triangle all the way to the left corner (6 cm). Then side BC will be from the left corner to the right corner (10 cm) and side AC will be from the top to the right corner (6 cm).

Answer:24.5

Step-by-step explanation:

a^2+ (25)^2 =35^2

a^2 +625=1225

a^2=600

a=24.494897

a=24.5

Answer:

(x + 3)(x - 1)

Step-by-step explanation:

Given

x² + 2x - 3

Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)

The factors are + 3 and - 1 , since

3 × - 1 = - 3 and 3 - 1 = + 2 , then

x² + 2x - 3 = (x + 3)(x - 1) ← in factored form

What is the factor of x² + 2x - 3

[tex] \rightarrow [/tex] x² + 3x - x - 3 = 0

[tex] \rightarrow [/tex] x(x + 3) -1(x + 3) = 0

[tex] \rightarrow [/tex] (x + 3) (x - 1) = 0

[tex] \therefore [/tex] Either, x + 3 = 0 => x = -3 and x - 1 = 0 => x = 1

So, x = -3 and 1

Answer:

D) 8x - 6y = 18

Step-by-step explanation:

The general equation of a line is;

y = mx + c

m is the slope and c is the y-intercept

so for;

4y + 3x = 12

4y = -3x + 12

divide through by 4

y = -3/4x + 3

the slope here is -3/4

To get the other line, we divide -1 by the slope of the first line

This is because when two lines are perpendicular, the product of their slopes is -1

So the slope of the line we are looking for is -1 divide by -3/4 = 4/3

Let us take a look at option D

8x - 6y = 18

6y = 8x - 18

divide through by 2

3y = 4x - 9

divide through by 3

y = 4/3(x) - 3

So as we can see, we have our slope as 4/3 and this option is our answer

Answer:

no because it has a different starting and ending point

Step-by-step explanation:

hope it helps!

Answer:

(0, 2)

Step-by-step explanation:

the answer is (0, 2)

Answer:

[tex]a_4=-1271[/tex]

Step-by-step explanation:

We are given that:

[tex]a_1=10[/tex]

And:

[tex]a_{n+1}=-5a_n-1[/tex]

And we want to find:

[tex]a_4[/tex]

This is a recursive formula. So we can simply substitute in each value. For instance, a₂ will be:

[tex]a_2=a_{(1)+1}=-5a_{1}-1=-5(10)-1=-51[/tex]

Thus, a₃ will be:

[tex]a_3=a_{(2)+1}=-5a_2-1=-5(-51)-1=254[/tex]

Finally, a₄ will be:

[tex]a_4=a_{(3)+1}=-5a_3-1=-5(254)-1=-1271[/tex]