Donna reads 56 chapters of a book in 7 hours. What is her rate in chapters per hour?

The limit is x---->4-

The negative show that x approaches from the left

Now

As x approaches 4 from the left ... Means This number should be less than 4 (<4) but really close to 4.

Let's pick a Number

Say 3.99

Substitute this... You have

3.99/3.99-4

3.99/-0.01

If we choose x to be 3.999

we will have

3.999/-0.001

Notice the pattern... As x approaches 4 from the left... This limit will approach NEGATIVE INFINITY

Why?

As you approach 4 from the left... 3.9,3.99,3.999... You notice that the denominator becomes negative and EXTREMELY SMALL... and when you divide by an extremely small Number..... You'll get a relatively HUGE VALUE(You can try this... Use a calc... Divide any number of choice by a very small number... say.. 0.0000001.... You'll get a huge result

In our case... The denominator is negative... So it Will Approach a very Huge Negative Number

Hence

Answer.. X WILL APPROACH NEGATIVE INFINITY.

Vertical asymptotes are the zeroes of the denominator of a function

The denom. is x-4

Equate to zero to get the asymptote

x-4=0

x=4

Hence... There will be a vertical asymptote at x=4.

Have a great day!

Answer: -3

Step-by-step explanation: x divided by x = 1 and 1 - 4 = -3

Step-by-step explanation:

[tex] = {x}^{2} \div {x}^{2} + 3x - 5x + 6 - 10 \\ = 1 - 2x - 4 \\ = - 2x - 4 + 1 \\ = - 2x - 3 \\ = - 1(2x + 3)[/tex]

HI,HOPE THAT IS HELPFUL.

Answer:

8.73, 8 17/20, 8.859, 222/25

Hope this helps!

Answer:

22 in OR B

Step-by-step explanation:

Answer:

(0.5415 ; 0.6785)

Step-by-step explanation:

Sample size, n = 195

Number of samples who werw in favor, x = 117

Phat = 117 / 195 = 0.609 = 0.61

The confidence interval :

Phat ± Margin of error

Margin of Error = Zcritical * √(phat(1-phat)/n)

Zcritical at 95% = 1.96

1 - phat = 1 - 0.61 = 0.39

Margin of Error = 1.96 * √((0.61*0.39)/195) = 0.0685

Confidence interval :

Lower boundary : 0.61 - 0.0685 = 0.5415

Upper boundary : 0.61 + 0.0685 = 0.6785

(0.5415 ; 0.6785)

Answer:

Step-by-step explanation:

During a sale at the market​, steaks sold for ​$2 and watermelons sold for ​$1.50. Declan spent ​$10 and bought a total of 6 steaks and watermelons. How many of each did he ​buy?

Let us represent

Steaks = x

Water melons = y

Our system of equations is given as:

x + y = 6.. Equation 1

x = 6 - y

During a sale at the market​, steaks sold for ​$2 and watermelons sold for ​$1.50.

$2× x + 1.5 × y = $10

2x + 1.5y = 10... Equation 2

Substitute

2(6 - y) + 1.5y = 10

12 - 2y + 1.5y = 10

12 - 10 = 2y - 1.5y

2 = 0.5y

y = 2/0.5

y = 4

Answer:

(x - 3)^2 + (y + 2)^2 = 2^2.

The correct option regarding the high tide and the low tide is given as follows:

B. high tide at 6 a.m. and 6 p.m., depth of 28 ft.

low tide at 12 midnight and 12 noon, depth of 20 ft.

The cosine function is defined as follows:

g(x) = acos(bx+c)+d.

The coefficients have these following roles:

The amplitude for this problem is of 4, with a vertical shift of 24, hence the low and high tides are given as follows:

The function is reflected over the x-axis, due to the multiplication by the negative number, hence the low tide is at midnight.

The period of the function is given as follows:

2π/(π/6) = 12 hours.

Thus the low tide also happens at noon, meaning that option B is correct.

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Answer: 9.4

Step-by-step explanation: plug it into Pythagorean Theorem equation

The straight line distance from your starting point if You start driving west for 5 miles, turn left, and drive south for another 8 miles is 9.4 miles.

A triangle whose one is 90 degrees is considered a right-angled triangle. Pythagoras' theorem is applied only to the right-angled triangle.

Given:

The distance to the west, W = 5 miles,

The distance to the south, S = 8 miles,

As it will make a right-angle triangle, so by using Pythagoras' theorem the hypotenuse will be the straight line distance from the starting,

Straight Distance =  [tex]\sqrt{W^2 + S^2}[/tex]

Substitute the values,

Straight Distance = [tex]\sqrt{5^2 + 8^2}[/tex]

Straight Distance = 9.4 miles

Therefore, the straight line distance from your starting point if You start driving west for 5 miles, turn left, and drive south for another 8 miles is 9.4 miles.

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The answer to ur question is 1

Answer: v = 100

Step-by-step explanation:

v+15 = v-37 + v-48

v + 15 = 2v - 85

85 + 15 = 2v - v

100 = v

Answer:

The fraction 480/840 can be reduced to its lowest terms by dividing the numerator and denominator of the fraction by their greatest (highest) common factor (divisor), gcf (hcf, gcd). This results in a reduced fraction of 4/7.

Step-by-step explanation:

Step-by-step explanation:

the center of the circle is (−3,5) and radius is 16 =

Answer:

17.5%

Step-by-step explanation:

Subtract one value from the other. (i does not matter the sign)  

 400 − 330 = 70, so his error is 70

Now  find the Percentage Error:

Divide by the exact value and make it a percentage:

70/400 = 0.175 = 17.5%

Answer:

10 gallons

Step-by-step explanation:

Area of one rectanglular side

10 * 44 = 440

Area of trangular one triangular "roof"

(1/2)10 * 9 = 45

Total area = 4(440 + 45) = 1,940

---------------------------

Paint needed

1940 / 202 = 9.6

10 gallons

Answer:

4. obtuse

5. right

6. obtuse

6. acute

Step-by-step explanation:

4. not a triangle, 2+4 = 6

5. 100 + 576 = 26^2 -> right

6. 8, 16 < 36 -> obtuse

7. 43.6 > 42.25 -> acute

The three choices are increase the sample size, pick individuals from various grade levels and in all language arts classes, pick the fourth student.

what is sample size?

The number of observations utilized to calculate estimates for a given population is referred to as the sample size. From the population, a sample size was chosen. The term "sample size" describes the number of subjects or observations that make up a study. n is typically used to represent this number.

The three choices are increase the size of the sample, pick individuals from various grade levels and in all language arts classes, pick the fourth student.

It's important to take into account the following data:

The sample size should be raised in order to boost the result validity, The students should be chosen from among the various grade levels and For all language kinds, a student should be chosen every fourth student.

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Answer:

True

Step-by-step explanation:

TRUE.  y = -1 is a horizontal line.  A line perpendicular to this horizontal line is a vertical line whose slope is not defined.

Answer:

1:3

Step-by-step explanation:

The degree of polynomial is 2 and leading coefficient is 3.

A polynomial is a mathematical expression made up of one or more terms. The phrases "poly" and "nominal," for example, are whence the name "polynomial" arose. The words "poly" and "nominal" both signify many. A polynomial is an algebraic expression with two or more algebraic terms, to put it simply. It has exponents, operators, coefficients, coefficients, variables, and constants.

Given polynomials 9, 3x², 8x

standard form of polynomial;  The value of the largest exponent in a polynomial is known as its degree. However, it differs between a polynomial with just one variable and one with multiple variables. The degree of a polynomial for a single variable is equal to the variable's highest power in the polynomial.

the standard form is 3x², 8x, 9

degree of polynomial is 2.

and leading coefficient is the constant term followed by the variables with highest power,

LC = 3.

Hence degree = 2 and leading coefficient = 3.

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The depiction of numbers as an equilateral triangle organized in a series is known as a triangular number sequence. These numerals follow a 1, 3, 6 order.

A number that may be expressed as the sum of the initial n positive integers is referred to as a triangular number.

Thus, the first three triangular numbers 1, 3, 6.

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Answer:

22.2 years

Step-by-step explanation:

Doubling formula is given as:

P(t) = Po × (2)^t/k

Where

Po = Initial amount invested = $5600

P(t) = Amount after time t = $72500

k = Time it takes to double = 6 years

t = Time in years = ??

Hence:

72500 = 5600 × (2)^t/6

Divide both sides by 5600

72500/5600 =( 5600 × (2)^t/6)5600

12.946428571 = (2)^t/6

Take the In of both sides

In 12.946428571 = In (2)^t/6

In 12.946428571 = t/6 In (2)

Divide both sides by In 2

In 12.946428571/In 2 = t/6

3.6944822628 = t/6

Cross Multiply

t = 6 × 3.6944822628

t = 22.166893577 years

Approximately

t = 22.2 years

Therefore, it would take 22.2 years

Answer:

15w^2

Step-by-step explanation:

The reason being is note how it says portrait, so assume the shape of a square, because it says 3 inches on all sides, and it also mentioned 1.5 times w, so in turn, 15w^2

Refer to the attached image.

Answer:

1.05

Step-by-step explanation:

100% is 1.0, therefore 105% will be 1.05.

Explanation:

Think of 105% as 105.0%

Now remove the percent sign to get 105.0

Lastly, move the decimal point two spots to the left to get to 1.05

Percentages that are over 100% convert to decimal values larger than 1; on the flip side, percentages that are under 100% are between 0 and 1.

More Examples:

76% = 0.76

18% = 0.18

255% = 2.55

Store C offers the best deal

Based on the lowest cost per minute, Store C has the best deal. It charges $45 for a 1.5 hour lesson, which works out to $0.30 per minute. The other stores charge more per minute: Store A charges $0.56 per minute, Store B charges $0.50 per minute, and Store D charges $0.40 per minute for each of the three 1 hour lessons.

Store A has the highest cost that is $0.56 per minute

Next Store B comes in the 2nd place which costs around $0.50 per minute.

After that Store D charges at the rate of $0.40 per minute.

Store C offers the best deal which is $0.30 per minute.

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Answer:

Step-by-step explanation:

52% would be 100% - 48%.  If you do make a 10 by 10 grid, you would shade half the grid (e. g., share the lower 5 rows of 10 squares each) PLUS shade 2 more white squares, for a total of 52 shaded squares.