A decision at the margin Crystal is a hard-working college senior. One Thursday, she decides to work nonstop until she has answered 100 practice problems for her math course. She starts work at 8:00 AM and uses a table to keep track of her progress throughout the day. She notices that as she gets tired, it takes her longer to solve each problem. Time Total Problems Answered 8:00 AM 0 9:00 AM 40 10:00 AM 70 11:00 AM 90 Noon 100 Use the table to answer the following questions. The marginal, or additional, gain from Crystal’s first hour of work, from 8:00 AM to 9:00 AM, is problems. The marginal gain from Crystal’s third hour of work, from 10:00 AM to 11:00 AM, is problems. Later, the teaching assistant in Crystal’s math course gives her some advice. “Based on past experience,” the teaching assistant says, “working on 35 problems raises a student’s exam score by about the same amount as reading the textbook for 1 hour.” For simplicity, assume students always cover the same number of pages during each hour they spend reading. Given this information, in order to use her 4 hours of study time to get the best exam score possible, how many hours should she have spent working on problems, and how many should she have spent reading? 0 hours working on problems, 4 hours reading 1 hour working on problems, 3 hours reading 3 hours working on problems, 1 hour reading 4 hours working on problems, 0 hours reading

Answers

Answer 1

She should spend 1 hour working on problems , 3 hour reading , Option B is the right answer.

What is Margin gain ?

The gain of the desired effect with respect to the previous gain is called margin gain

The marginal gain from 8:00 am to 9:00 am is

(40-0) = 40 problems

The marginal gain from 9:00 am to 10:00 am is

= 70-40 = 30 problems

The marginal gain from 10:00 am to 11:00 am is

(90-70) = 20 problems

As if she does more than one hour of problem solving her productivity decreases to 30 which is less than 1 hour of reading textbook

Therefore she should not spend more than 1 hour on problem solving.

Therefore Option B is the right answer.

1 hour working on problems , 3 hour reading

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Related Questions

Identify the value of the variable in the equivalent expressions.


What is the value of n in the simplified expression?
(4k7)3= 4n ·(k7) 3= 64k21

n =

What is the value of m in the simplified expression?
(Negative 3 r Superscript negative 4 Baseline) Superscript negative 4 Baseline = (negative 3) Superscript negative 4 Baseline times (r Superscript negative 4 Baseline) Superscript negative 4 Baseline = StartFraction 1 Over 81 EndFraction r Superscript m
m =

Answers

The value of expression is n=3 and r= 16

What is expression?

An expression is a set of terms combined using the operations +, – , x or , /.

Given:

[tex](4k^{7})^{3} = 4^{n}* (k^{7})^{3} = 64 k^{21}[/tex]

[tex](64 k^{21}) = 4^{n}* k^{21} = 64 k^{21}[/tex]

[tex]4 ^{3} * k^{21}= 4^{n}* k^{21}[/tex]

On comparing

n=3

Now,

[tex](-3r^{-4})^{-4} = (-3)^{-4} * (r^{-4})^{-4} = 1/81* r^{m}[/tex]

[tex](-3)^{-4} * (r^{-4})^{-4} = 1/81* r^{m}\\1/ (-3)^{4} * 1/(r^{-4})^{4} = 1/81* r^{m}\\1/ (-3)^{4} * (r^{16}) = 1/81* r^{m}[/tex]

1/81 * r^16 = 1/81 * r^{m}

On compairing

r = 16.

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Answer:

answer in picture

Step-by-step explanation:

there are 1,500 pupils in school , 0.6 are boys how many pupils are girls

Answers

Answer:

1491 girls (99.4 percent)

Step-by-step explanation:

explanation is in the attached picture

how many units are -7 and its opposite from zero?

Answers

Answer:

-7 is -7 units away from zero. Its opposite is 7 from zero.

Step-by-step explanation: Count from 0 how many digits away it is

The midpoint of FG is point H at (–5, 2). One endpoint is G(–9, –6). What is the y-coordinate of the other endpoint? The y-coordinate of the other endpoint is

Answers

The y-coordinate of the other endpoint is 10 units.

The given coordinates are H (-5, 2) and G (–9, –6).

We need to find the y-coordinate of the other endpoint.

What is the midpoint formula?

The mid-point formula is  [tex](x, y)=(\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2})[/tex]

Now, [tex](-5, 2)=(\frac{x_{1} +(-9)}{2} , \frac{y_{1} +(-6)}{2})[/tex]

⇒[tex]2=\frac{y_{1}-6 }{2}[/tex]

⇒[tex]4=y_{1}-6[/tex]

⇒[tex]y_{1}=10[/tex]

Therefore, the y-coordinate of the other endpoint is 10 units.

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Anu's age exceeds Sumbo's age by 15 The sum of the square of their ages is 725. What are their ages?​

Answers

Answer:

Anita= 25 years old

Sumbo= 10 years old

Step-by-step explanation:

Start by forming 2 equations that represent the given information.

Let Anu's and Sumbo's ages be A and S respectively.

A= S +15 -----(1)

A² +S²= 725 -----(2)

Now, solve for A and S by substitution.

Substitute (1) into (2):

(S +15)² +S²= 725

Expand:

S² +2(S)(15) +15² +S²= 725

2S² +30S +225= 725

-725 on both sides:

2S² +30S -500= 0

Divide both sides by 2:

S² +15S -250= 0

Factorise:

(S +25)(S -10)= 0

S +25= 0             or            S -10= 0

S= -25 (reject)     or            S= 10

Sumbo's age cannot be a negative value hence -25 is rejected.

Substitute S= 10 into (1):

A= S +15

A= 10 +15

A= 25

3. What's the difference between 126 1/4 and 78 2/3?
O A. 57 7/12
OB. 47 7/12
O C. 58 5/12
O D. 48 1/3

Answers

Answer:

B. 47 7/12

Step-by-step explanation:

=126 1/4 - 78 2/3

Change the two mix fraction to improper fractions.

= 505/4 - 236/3

= 1515-944/12

= 571/12

= 47 7/12

The planet Earth is about 193,000,000 miles away from the sun, and the speed of light is approximately 1.86 × 10 5 miles per second. Which expression could you use to figure out how many seconds it takes the light from the sun to reach Earth?

Answers

Answer:

Speed of light 186000 miles/second.

it takes 500 seconds (approx 8 minutes) for light from the sun to reach Earth.

Step-by-step explanation:

Earth travels around the sun in a slightly oval-shaped orbit, known as an ellipse. Therefore, the planet's distance from the sun changes throughout the year.

However, the average distance from Earth to the sun is about 93 million miles (150 million kilometres). Scientists also call this distance one astronomical unit (AU).

A universe is a big place, and sometimes researchers use astronomical units to communicate how far celestial objects are separated from one another. For example, Jupiter orbits about 5 AU from the sun.

The distance between the earth and the sun d= velocity of light × time taken to reach light from the sun to earth

Distance from Earth to Sun=93000000 miles.

Speed of light = 186000 miles/second.

=>  [tex]\frac{93000,000}{186000}[/tex]

=> 500 seconds.

=> 8.333 minutes

it takes 500 seconds (approx 8 minutes) for light from the sun to reach Earth.

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If the length of rectangle is thrice of its breadth and it's perimeter is 32 cm then finds its area​.​

Answers

Answer:

48 cm²

Explanation:

Let the breadth be b, then the length is 3b

P = 2(Length + Breadth)

32 = 2(3b + b)

32 = 2(4b)

8b = 32

b = 4

Breadth is 4 cm

Length: 3b = 3(4) = 12 cm

Area of rectangle:

Length × Breadth

12 × 4

48 cm²

Area of rectangle is 48 cm².Explanation :

Given :-

Length of rectangle is thrice of its breadth.Its perimeter is 32 cm.

To Find :-

Area of rectangle?

Solution :-

Let breadth of rectangle be x cm As it is stated in question that length of rectangle is thrice its breadth so length of rectangle will be 3x cm

Using formula;

Perimeter of rectangle = 2(L + B)

Where;

L denotes length of rectangleB denotes a breadth of rectangle

We have;

Perimeter of rectangle = 32 cmLength of rectangle (L) = 3xBreadth of rectangle (B) = x

By putting all values in formula we get;

→ 2(3x + x) = 32

→ 2(4x) = 32

→ 2 × 4x = 32

→ 8x = 32

→ x = 32/8

After dividing 32 with 8, we get;

x = 4

Hence;

Length (L) = 3x = 3 × 4 = 12 cmBreadth (B) = x = 4 cm

Now, using formula;

Area of rectangle = L × B

Where;

L denotes length of rectangleB denotes a breadth of rectangle

We have;

Length of rectangle (L) = 12 cmBreadth of rectangle (B) = 4 cmArea of rectangle = ?

By putting all values in formula we get;

→ Area of rectangle = 12 × 4

By multiplying 12 with 4, we get;

→ Area of rectangle = 48 cm²

Hence, area of rectangle is 48 cm².

Christmas bulbs made of different colours are set to light after 8seconds,10 seconds and 14 seconds. How many times will they light simultaneously in one hour if they start together​

Answers

Answer:

36 seconds will be the answer... by looking down here↓:

Step-by-step explanation:

6 secs x 6 cycles = 36 seconds

9 secs x 4 cycles = 36 secs

12 ses x 3 cycles = 36 secs

Plss HELPP I neeed help on this question

Answers

Answer: 180 degrees

Step-by-step explanation:

The measure of the arc of a semicircle is 180 degrees.

y = ( x + z) ( x+ 2x)

Answers

Answer:

3x^2 + 3xz

Step-by-step explanation:

Under the assumption that I need to distribute,

(x + z)(x + 2x)

(x + 2x) is (3x)

3x(x + z) becomes 3x*x and 3x*z

3x*x = 3x^2

3x*z = 3xz

combine, 3x^2 + 3xz

AND WELCOME TO BRAINLY!

LET ME KNOW IF YOU NEED ANY MORE HELP :)

IN THE GIVEN FIG, FIND THE VALUE OF x.

Answers

The answer is simple

First find the angle measures of first triangle:

statement:

we know that the sum of 45 and 30 sums up to the opposite angle and that is equal to 75, then to find the next remaining angle:

180-(75+20)=85

The you find the supplement of 85:

180-85=95

so x = 95

Hope it helps

(LOOK AT PHOTO) What is the quotient of the rational expression below?
x²-49 x²-14x+49
x+2
3x+6

Answers

The quotient [tex]\frac{x^2 - 49}{x + 2} \div \frac{x^2 - 14 +49}{3x + 6}[/tex] is [tex]\frac{3(x +7)}{(x -7)}[/tex]

How to determine the quotient?

The expression is given as:

[tex]\frac{x^2 - 49}{x + 2} \div \frac{x^2 - 14 +49}{3x + 6}[/tex]

Express x^2 - 49 as difference of two squares

[tex]\frac{(x + 7)(x- 7)}{x + 2} \div \frac{x^2 - 14 +49}{3x + 6}[/tex]

Factorize other expressions

[tex]\frac{(x + 7)(x- 7)}{x + 2} \div \frac{(x -7)(x-7)}{3(x + 2)}[/tex]

Express as product

[tex]\frac{(x + 7)(x- 7)}{x + 2} \times\frac{3(x + 2)}{(x -7)(x-7)}[/tex]

Cancel the common factors

[tex]\frac{(x + 7)}{1} \times\frac{3}{(x -7)}[/tex]

Evaluate the product

[tex]\frac{3(x +7)}{(x -7)}[/tex]

Hence, the quotient [tex]\frac{x^2 - 49}{x + 2} \div \frac{x^2 - 14 +49}{3x + 6}[/tex] is [tex]\frac{3(x +7)}{(x -7)}[/tex]

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A menu has five choices of appetizers

Answers

The number of the meals possible is 350.

The complete question is given below:-

A menu has 5 choices of appetizers, ten main courses, and seven desserts. How many meals are possible?

What is the combination?

The arrangement of the different things or numbers in a number of ways is called the combination.

Given that:-

A menu has 5 choices of appetizers, ten main courses, and seven desserts.

The number of the combination of the meals will be calculated as:-

N = 5 x 10 x 7

N = 350

Therefore the number of the meals possible is 350.

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Eduardo and his friends want to start a band, so he decides to take guitar lessons. He purchases a 6-lesson package at Sharp Notes music store, which comes out to $22.50 per lesson.

Answers

6 times 22.50 = 135 dollars

Given the two similar triangles below, which proportion is not true?

Answers

The proportion of sides of the triangle which is not true are 13.5/21 = 9/14, 9/13.5 = 6/21 and 14/6 = 21/9

Proportion

The three sides of each of the rectangles should be proportional to each other

Triangle A : Triangle B

9 cm : 13.5 cm

= 9/13.5

14 cm : 21 cm

= 14 cm / 21 cm

6 cm : 9 cm

= 6 cm / 9 cm

Therefore, the proportion of sides of the triangle which is not true are 13.5/21 = 9/14, 9/13.5 = 6/21 and 14/6 = 21/9

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2/5x - 1/2 = 1/3 + 5/6x

Answers

Answer:

[tex]x = \frac{25}{13} [/tex]

Step-by-step explanation:

Given:

[tex] \frac{2}{5} x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6} x[/tex]

Combine like terms:

[tex] \frac{2}{5} x - \frac{5}{6} x = \frac{1}{3} + \frac{1}{2} [/tex]

Find GCF :

[tex] \frac{12}{30} x - \frac{25}{30} = \frac{2}{6} + \frac{3}{6} [/tex]

Subtraction and Addition :

[tex] \frac{13}{30} x = \frac{5}{6} [/tex]

Divide both sides by 13/30 :

[tex] \frac{ \frac{13}{30} }{ \frac{13}{30} } x = \frac{ \frac{5}{6} }{ \frac{13}{30} } [/tex]

Simplify :

Multiplication (Reciprocal) :

[tex]x = \frac{5}{6} \times \frac{30}{13} [/tex]

[tex]x = \frac{150}{78} [/tex]

[tex]x = \frac{25}{13} [/tex]

Answer :

[tex]x = \frac{25}{13} [/tex]

Hope it helps

Evaluate the function f(r) = √r + 1 - 1 at the given values of the independent variable and simplify.
a. f(-1) b. f(24) c. f(x-1)

Answers

Step-by-step explanation:

I'm going to assume you meant to write [tex]\sqrt{r+1}[/tex] in the equation as +1 - 1 wouldn't make much sense since they would just cancel out.

a. [tex]f(-1) = \sqrt{-1 + 1} - 1\\ f(-1) = \sqrt{0} - 1\\f(-1) = 0-1\\f(-1) = -1[/tex]

b. [tex]f(24) = \sqrt{24 + 1} - 1\\ f(24) = \sqrt{25} - 1\\f(24) = 5 - 1\\f(24) = 4[/tex]

c. [tex]f(x-1) = \sqrt{(x-1)+1} -1\\f(x-1) = \sqrt{x} - 1[/tex]

I will give brainliest to whoever answers!

Answers

Answer:

C   34  cm

Step-by-step explanation:

Area = L x W

  72  = 8 x W     then W = 9

Perimeter = 2 ( L+W) = 2 ( 8+ 9) = 34  cm

[tex]\huge\text{Hey there!}[/tex]


[tex]\large\text{Area of rectangle: A = wl; whereas \boxed{\textsf a} is \underline{area}, \boxed{\textsf w} is \underline{width}, \& \boxed{\textsf{l}} is}\\\large\text{\underline{length}.}[/tex]


[tex]\large\text{a = wl}\\\\\large\text{wl = a}\\\\\large\text{w(8) = 72}\\\\\large\text{8w = 72}\\\\\large\textsf{DIVIDE 8 to BOTH SIDES}\\\\\rm{\dfrac{8w}{8} = \dfrac{72}{8}}\\\\\large\text{SIMPLIFY IT!}\\\\\rm{w = \dfrac{72}{8}}\\\\\rm{w = 9}\\\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{width = \bf 9}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Evaluate 21 + (-3c) when c=-2

Answers

27

Solution:

Substitute c with -2

21 + ( -3 ) ( -2 )

Simplify

21 + 6

27

Therefore, The answer is 27.

Solve the following system of equations and show all work.
y = 2x2
y =
3x -1 (10 points)

Answers

Answer: [tex]\left(\frac{1}{2}, 1 \right), (1, 2)[/tex]

Step-by-step explanation:

We have [tex]y=2x^{2}[/tex] and [tex]y=3x-1[/tex].

Since both of the equations are set equal to y, we can conclude that:

[tex]2x^2 = 3x-1\\\\2x^{2}-3x+1=0\\\\(2x-1)(x-1)=0\\\\x=\frac{1}{2}, 1[/tex]

If [tex]x=\frac{1}{2}[/tex], then [tex]y=3\left(\frac{1}{2} \right)-1=1[/tex]

If [tex]x=1[/tex], then [tex]y=3-1=2[/tex]

Therefore, the solutions are [tex]\left(\frac{1}{2}, 1 \right), (1, 2)[/tex]

what is the missing pattern 7, 11, 2, 18, -7

Answers

The missing pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula [tex]n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}[/tex], equivalent to the recurrence formula [tex]a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}[/tex].

What is the missing element in a sequence?

A sequence is a set of elements which observes at least a defined rule. In this question we see a sequence which follows this rule:

[tex]n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}[/tex]      (1)

Now we prove that given expression contains the pattern:

n = 0

7

n = 1

7 + (- 1)² · 2² = 7 + 4 = 11

n = 2

7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2

n = 3

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18

n = 4

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7

The missing pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula [tex]n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}[/tex], equivalent to the recurrence formula [tex]a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}[/tex].

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Find three consecutive integers such that the
sum of the first and the third is 32.

Answers

The three consecutive integers are 15 16 and 17.

Step 1:

Let  X be the first integer. Since they are consecutive, it means that the second number will be X + 1 and the third number will be X + 2 and sum of the first and the third should add up to 32. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) be the three consecutive integers.

Step 2:

The sum of the first and the third should add up to 32.

X + ( X + 2 )= 32

2X + 2= 32

2X = 32 - 2

2X = 30

X = 30/2

X=15

Hence the first number is 15, the second number is 15 + 1, and the third number is 15 + 2.

Therefore, three consecutive integers in which the sum of the first and the third is 32 are 15 16, and 17.

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Answer: 15, 16 and 17

Step-by-Step Explanation:

Let the first integer be ‘a’

Therefore, since they are consecutive, the next 2 integers will be (a + 1) and (a + 2). We know, sum of first integer (a) and third integer (a + 2) is 32.

Therefore,
a + a + 2 = 32
2a + 2 = 32
2a = 32 - 2
2a = 30
a = 30/2
=> a = 15

Finding each Integer :-

1st No. = 15
2nd No. = 15 + 1 = 16
3rd No. = 15 + 2 = 17

Hence, the 3 integers are 15, 16 and 17.

-5x-5<15
Solve the inequality and graph solution set. Write solution set in (a) set builder notation and (b) interval notation

Answers

-5x-5<15 [given]-5x<20 [add 5 to both sides]x>-4 [divide both sides by -5, don't forget to flip the inequality sign]

(a) [tex]\{x: x > -4 \}[/tex]

(b) [tex](-4, \infty)[/tex]

Theresa uses a unique box in the shape of a trapezoidal prism for her specialty candles. The area of the bas
of the box for the smaller candle is 125 cm² and the box is 12 cm tall. The box used for the larger candle has
a base whose area is 160% that of the smaller box, and it is 6 centimeters taller.
What percent of the volume of the smaller box is the volume of the larger box?

Pls explain ur Answer<3

Answers

Answer:

eyyyyyyyyyy wassupppppppp

Answer:

240%

Step-by-step explanation:

Volume of a prism is Bh (area of the base * height)

Let's start with the small prism.

B=125

h=12

Volume = 125*12 = 1500 cubic cm

Bigger prism base are is 160% of 125. 1.6 * 125 = 200

Height is 6 cm more = 12+6 = 18

V = 200 * 18 = 3600

To find the percentage, divide 3600 by 1500. You get 2.4, which is 240%

A right cylinder has a radius of 5 and a height of 9. What is its surface area?
A. 45 units²
B. 140 units²
C. 90 units²
D. 70 units²

Answers

Answer:

the answer is B. 140 units²

Each point has been reflected over the x-axis or y-axis.


Select the axis over which each point has been reflected.

Answers

The reflection is

x-axisx-axisy-axis

What is reflection over axis?

A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image. In this case, the x axis would be called the axis of reflection.

For reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

and, for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the y value the same.

So, by considering the above value rules the reflection of the given points as follows over respective axis.

E(7, 1) ⇒ (7, -1)

Here, the reflection is over x-axis because the y value is changing

F(-3, 5) ⇒ (-3, -5)

Here, the reflection is over x-axis because the y value is changing

G(6, -2) ⇒ (-6, -2)

Here, the reflection is over y-axis because the x value is changing.

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Step 1: Choose the lowest common denominator.
02 03 04 05 06 08 010 012
3/4
50/80
O
Find the sum: -and
The expression written in equivalent form with a
common denominator is
The sum is

Answers

The expression written in equivalent form with a common denominator is -1/6

Adding fractions

Fractions are written as ratio of two integers. For instance a/b is a fraction.

Given the sum of the fractions shown;

-3/4 and 5/8

Sum = -3/4 + 5/8

Sum = 5/8 - 3/4

Sum = 5-6/8

Sum  = -1/8

Hence the sum of the given fraction -1/3 and 5/8 is -1/6

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Calcular cuántos números enteros diferentes de tres dígitos se pueden formar con los dígitos 2, 3 ,4 ,5 ,6 ,7 , 8 si los dígitos no pueden repetirse

Answers

There are 210 different three-digit whole numbers that can be formed with the digits 2, 3, 4, 5, 6, 7, 8 if the digits cannot be repeated.

To calculate how many different three-digit whole numbers can be formed with the digits 2, 3, 4, 5, 6, 7, 8 if the digits cannot be repeated, we need to use the permutation formula.

The number of permutations of n objects taken r at a time, where order matters and objects cannot be repeated, is given by:

P(n,r) = n! / (n-r)!

In this case, we have 7 digits to choose from, and we want to form a three-digit number, so r = 3. Therefore, the number of different three-digit whole numbers that can be formed is:

P(7,3) = 7! / (7-3)! = 7! / 4! = 7 x 6 x 5 = 210

Each of these numbers will be unique, as we are not allowed to repeat any of the digits.

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Which number is irrational?
OA. 0.45
OB. 0.636363...
O C. √25
OD. √6

Answers

Answer:

D. Sqroot6

Step-by-step explanation:

6 is not a perfect square. So it is a non-repeating decimal that never ends

sqroot6 ~=

2.4494897428...

this is an irrational number.

The rest on the numbers can be written as a ratio:

0.45=45/100=9/20

0.63636363

= 63/99 = 7/11

sqrt25 = 5 = 5/1

that means they are rational.

Other Questions
2m + 2m 12 = 0m=? a. 2,-12 b. 3,1 c. 1.-3 d. -2.2 Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. Which statement correctly compares the two functions on the interval [-1, 2]? A. Both functions are increasing, but function f increases at a faster average rate. B. Only function f is increasing, but both functions are negative. C. Both functions are increasing, but function g increases at a faster average rate. D. Only function f is increasing, and only function f is negative. The first term of an arithmetic progression is 3 and the fifth term is 9. Find the number of terms in the progression if the last term is 81. 24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days? A. P84.95 B. P94.95 C. P104.95 D. P114.95 25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter? A. 86.5 B. 88 C. 89.5 D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos? A. P67.70 B. P37.70 C. P57.70 D. P17.70 24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ? A. P84.95 B. P94.95 C. P104.95 D. P114.95 25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ? A. 86.5 B. 88 C. 89.5 D. 90 26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ? A. P67.70B. P37.70C. P57.70D. P17.70 PLEASE ANSWER ASAP!!!!!!!!Sally plots (4,)on the polar plane.How does she proceed?Drag a phrase to each box to correctly complete the statements.Is this correct??? How did the Meiji restoration prevent Japan from becoming a victim of Western imperialism?by modernizing the nations industry and militaryby dividing the nation among European powersby abolishing the position of emperorby letting merchants control the government whats the answer to this? Supply and den and coordinate to determine prices by workingO together.O competitively.with other factors.Oseparately. PLS HELP In paragraph five of the excerpt from The Higher Education of Women, which excerpt most effectively advances the authors premise that increasing access to higher education for women benefits all of humankind?women who can think as well as feel, and who feel none the less because they think women quick to see and eager to help the needs of this needy world and sending out yearly into the arteries of this nation a warm, rich flood of strong, brave, active, energetic, well-equipped, thoughtful women women whom the world has long waited for in pain and anguish till there should be at last added to its forces and allowed to permeate its thought the complement of that masculine influence which has dominated it for fourteen centuries. What did Cooley mean by his term looking-glass self with respect to the socialization process? Which of the following is TRUE about judicial review?A.It was established in the late 20th century.B.Judicial review is outlined in Article III of the Constitution.C.It provides the president a means of checking the power of the Supreme Court.D.The principle of judicial review is not in the Constitutio Passengers under the age of 8 and whose height is less than 57 inches must be in the _________ seat of a vehicle. What kind of character does the narrator attempt to depict in theexcerpt given? Help me ASAP!!!!If two balls have the same volume, but ball A has twice as much mass as ball B, which one will have the greater density?A. Ball AB. Ball BC. Their Densities are equal. A carpet installer charges a flat rate of $40 + $1.50 per square foot for labor so the total cost for the labor depends on the amount of carpet installed the relationship between the total cost for labor and the amount of corporate installed is the domain of the relation is the range of the relation is whats 555 divided by 5 Which of the following is NOT an example of combustion occurring?A. A car engineB. A rocket lifting offC. Battery acid burning the floorD. A bonfire You push a 50.0 kg box across a floor at a constant speed of 2.0m/s. If the coefficient of friction between the two surfaces is 0.20, then how much force are you exerting on the box? If you stop pushing, then how far will the box slide before coming to rest? Start by drawing a FBD. what is te equation of the line that passes through the point (6, -5) and is perpendicular to the line represented by y= 3/4x +2?Help me pls At three years old, Louise Braille had a condition most children never have to worry about. He was blind. While growing up, he felt that he did not want to be a burden on his family. He wanted to be an active member of society and not let this complication hold him back. Since he was unable to see words to read, he needed a solution that would enable him to read without sight. He solved his problem by creating a series of bumps taken from military code that represented words. This new type of reading was called Braille. People without sight still use Braille as their main source of reading. Thanks to 15-year-old Louise Braille, people who are blind can live normal lives.Which key words does the author use to organize this text in a problem and solution text structure? Cause, effect Complication, solved Since, now While, still