24.459 correctly rounded to the hundredths place?

The working to the problems shows the factorization method of solving quadratic equations.

A polynomial equation of degree 2 is a quadratic equation because it includes terms with variables raised to the power of 2.

We have that;

\(x^2 + 10x + 16 = 0\\x^2 + 8x + 2x + 16 = 0\)

x(x + 8) + 2 (x + 8) = 0

(x +2) (x + 8) = 0

x = -2 and -8

2)

\(x^2 - 6x + 5 = 0\\x^2 -5x - x + 5 = 0\)

x(x - 5) -1 (x - 5) = 0

(x - 5) (x - 1) = 0

x = 1 or 5

3)

\(x^2 - 2x - 8 = 0\\x^2 -4x + 2x - 8 = 0\)

x(x - 4) + 2(x - 4) = 0

(x + 2) (x - 4) = 0

x = -2 or 4

4)

\(2x^2 - 8x - 10 = 0\\x^2 - 4x - 5 = 0\\x^2 +x - 5x - 5 = 0\)

x(x + 1) -5(x + 1) = 0

(x + 1) (x - 5) =0

x = -1 or + 5

5)

\(4x^2 - 36 = 0\\x^2 - 9 = 0\)

x = ±3

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Answer:

-1/9^2 is the power notation for your questions

Step-by-step explanations

Answer:

r = - 4

Step-by-step explanation:

The common ratio r of the geometric sequence is

r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{8}{-2}\) = - 4

3.928374628... is a rational number, and it can be expressed as the fraction 348613/88751. it is not a natural number, whole number, or integer, but it is a rational number.

3.928374628... is a rational number, which means it can be expressed as the ratio of two integers.

To see why, let's denote this number as x, then we have:

x = 3.928374628...

Multiplying both sides by 10, we get:

10x = 39.28374628...

Subtracting the first equation from the second, we get:

10x - x = 39.2837428... - 3.928374628...

Simplifying, we get:

9x = 35.355371651...

Dividing both sides by 9, we get:

x = 3.928374627...

So, 3.928374628... is a rational number, and it can be expressed as the fraction 348613/88751.

Therefore, it is not a natural number, whole number, or integer, but it is a rational number.

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As a result, option C, or 3 mils, is the correct response.

A metric weight measurement unit. A gram is such thousandth of a kilogram, or about 30 times smaller than an ounce.

This issue can be resolved by converting from grams to mils using the conversion factor provided on the label.

1 mil = 500 mg

It is necessary to convert 1.5 grams to mils. To achieve this, you must cancel out all of the quantities in grams and use the conversion factor to derive the units in mils. The following equation can be created:

1.5 grams x (1 mil / 500 mg) = x mil

Where x represents the mils.

When the right hemisphere of the solution is simplified, we obtain:

1.5 grams x (1 mil / 500 mg) = 1.5 / 0.5 mil

1.5 / 0.5 = 3

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The calculated value of the total population of the country is 8530000

From the question, we have the following parameters that can be used in our computation:

3582600 is 42%. of the total population of the country

This means that

42%. of the total population of the country = 3582600

Express as product

So, we have

42% * the total population of the country = 3582600

Divide both sides by 42%

the total population of the country = 3582600 /42%

Evaluate

the total population of the country = 8530000

Hence, the total population of the country is 8530000

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Answer:

2x=10

Step-by-step explanation:

7x-14=21

x=5

2x=10 (divide both sides by two)

2x/2  10/2

x=5

Yky. we'd to provide the other options but to do this you need to +14 to both side. 21+14 then -14+14 cancel. so it's now

7x=35 then you divide 7 in both sides 7 cancels 35/7 =5

x=5

On solving the provided question we can say that - 12.99(y - 9) + 2.75y = 100 , by solving, the expression  x = 11.2, y = 19

What is  linear equation?

A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.

                         Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.

let x be the base ball cards.

and y be page card.

x + y = 9 -------------------1

12.99x + 2.75y = 100-------------------2

12.99(y - 9) + 2.75y = 100

by solving

x = 11.2

y = 19

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Answer:

if 5=70

  2=?

cross multiply=28

add  70+28=98          

Step-by-step explanation:

The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring, this statement is false.

The union of two or more sets refers to the set with all the elements belonging to each set. An element is said to be in the union if it lies to at least one of the sets.

The intersection of two or more sets refers to the set of elements universal to each set. An element is in the intersection if it occurs in all of the sets.

The event that both A and B occur is the intersection of the events A occurs and B occurs. As such, it is a subset of each and cannot, therefore, have a larger probability than either one individually.

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Answer:

4

Step-by-step explanation:

2*radius

Answer:4

Step-by-step explanation:

2*2=4

By calculation, your grade in the class now is 78.7

From the question, we have the following parameters that can be used in our computation:

Score of 47.2 in 60

Represent the score in 100% with x

So, we have the following equation

47.2/60 = x/100

Multiply both sides of the equation by 100

So, we have

100 * 47.2/60 = x/100 * 100

This gives

100 * 47.2/60 = x

So, we have

x = 100 * 47.2/60

Evaluate

x = 78.7

Hence, your grade in the class now is 78.7

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In 15 seconds, the puppy, running at a speed of 6 meters per second, will be 90 meters away from the starting point. The kitten, running at 2/3 of the puppy's speed, will be 60 meters away from the starting point. Therefore, they will be 150 meters away from each other.

Given that the puppy has a speed of 6 meters per second, we can calculate the distance it covers in 15 seconds by multiplying the speed by the time:
Distance covered by the puppy = 6 meters/second * 15 seconds = 90 meters.
Next, we need to calculate the speed of the kitten. It is stated that the kitten runs 2/3 as fast as the puppy. Therefore, the speed of the kitten can be calculated as:
Speed of the kitten = 2/3 * 6 meters/second = 4 meters/second.
Using the speed of the kitten, we can calculate the distance it covers in 15 seconds:
Distance covered by the kitten = 4 meters/second * 15 seconds = 60 meters.
Finally, to find the distance between them, we add the distances covered by the puppy and the kitten:
Distance between the puppy and the kitten = 90 meters + 60 meters = 150 meters.
Therefore, after 15 seconds, the puppy and the kitten will be approximately 150 meters away from each other.

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It is known that the radius is half the diameter of the circle so it follows:

1. For d=16 meters it follows:

The radius is 8 meters.

2. For d=4 centimeters it follows:

Hence the radius is 2 centimeters.

Answer:

2

Step-by-step explanation:

32 divided by 4 is 8

1/4 of 8= 2

Answer:

57.5°

Step-by-step explanation:

For triangle ABC C = 90 Side AC = 13.5 Side BC = 8.6 Find the measure of angle B​

We solve using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

θ = Angle B

Opposite = Side AC 13.5

Adjacent = Side BC = 8.6

Hence:

tan θ = 13.5/8.6

θ = arc tan (13.5/8.6)

θ = 57.501354056°

Approximately = 57.5°

Therefore, Angle B = 57.5°

To determine which points are on the perpendicular bisector of the given segment, we first need to find the midpoint of the segment. The points (-8, 19), (-5, 10), and (2, -7) are on the perpendicular bisector of the given segment.

Let's call the endpoints of segments A and B.

A = (-8, 19) and B = (1, -8)

Midpoint formula:

((x1 + x2)/2, (y1 + y2)/2)

Midpoint: ((-8+1)/2, (19-8)/2) = (-3.5, 5.5)

So, the midpoint is (-3.5, 5.5).

Now, we need to find the equation of the line that is perpendicular to the given segment and passes through the midpoint. The slope of the given segment is:

m = (y2 - y1)/(x2 - x1) = (-8 - 19)/(1 - (-8)) = -27/9 = -3

The slope of any line perpendicular to this segment is the negative reciprocal of the slope of the given segment, which is:

m = 1/3

Using point-slope form with the midpoint and slope, we can find the equation of the perpendicular bisector:

y - 5.5 = (1/3)(x + 3.5)

Simplifying:

y = (1/3)x + 7/6

Now, we can check which points satisfy this equation:

(-8, 19): 19 = (1/3)(-8) + 7/6 --> 19 = -8/3 + 7/6 --> 19 = 19/6

(1, -8): -8 = (1/3)(1) + 7/6 --> -8 = 1/3 + 7/6 --> -8 = -17/6

(0, 19): 19 = (1/3)(0) + 7/6 --> 19 = 7/6 (not on the line)

(-5, 10): 10 = (1/3)(-5) + 7/6 --> 10 = -5/3 + 7/6 --> 10 = 17/6

(2, -7): -7 = (1/3)(2) + 7/6 --> -7 = 2/3 + 7/6 --> -7 = -5/6

So, the points (-8, 19), (-5, 10), and (2, -7) are on the perpendicular bisector of the given segment.

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Answer:

A: (−8, 19)

B: (1, −8)

D: (−5, 10)

Answer:

v = 33/2

(v = 16.5)

Step-by-step explanation:

8/11 = 12/v

Cross multiply,

8v = 132

Simplify,

v = 132/8

Answer,

v = 33/2

(v = 16.5)

Answer:

6 feet per hour

Step-by-step explanation:

36 / 6 = 6

The incidence rate of active cases of tb for the 6-month period was  0.00014

An incidence rate describes how quickly disease occurs in a population.

Incidence rate is the rate of new occurrence of a particular disease divided by the population of people at risk of the disease.

So for this question

The number of new  active cases of tb occurring between January 1 and June 30, 2012 was 26

Population at risk  in Baltimore is 183,000

Incidence rate = 26/183,000

The incidence rate of active cases of tb for the 6-month period was           0.00014 or 14 per 100,000 population.

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Answer:

11.43 seconds

Step-by-step explanation:

80/7 = 11.428 = 11.43( nearest hundredth)

Answer:

1.44

Step-by-step explanation:

1 box 18 candy bars each box 12.49

18 divide by 12.49 equals 1.44 each candy bars

This method will work because we can easily multiply any of the equations with a constant that will make the coefficients of x or y to be the same for easy cancellation of one of the variables.

Let the cost adult plate be x

Let the cost of child plate be y

If the girls sold 200 adult dinner plates and 100 child dinner plates for a total cost of $2,150, then;

200x + 100y = 2,150 .................. 1

Similarly, if the boys sold 100 adult dinner plates and 300 child dinner plates for a total cost of $2,625, then;

100x + 300y = 2625 ................ 2

To get the cost of each plate, we will solve equations 1 and  2 simultaneously using the elimination method.

This method will work because we can easily multiply any of the equations with a constant that will make the coefficients of x or y to be the same for easy cancellation of one of the variables.

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Answer:

Step-by-step explanation:

We know that Jonathan bought the desk for $24, so the cost of the desk before any profit is $24.

After the 525% profit, the cost of the desk will be increased by 525% of $24, which is:

525% of $24 = (525/100) x $24 = $126

So the cost of the desk after the 525% profit is:

C = $24 + $126 = $150

Therefore, Jonathan sold the desk for $150.

Answer:

6,000,000+700,00+30,000+5,000+800+30+4

word form:

six million, seven hundred thousand, thirty-thousand, five thousand, eight hundred, thirty, four

Answer:

Six Million Seven hundred thirty five thousand eight hundred thirty four,

6,000,000 + 700,000 + 30,000 + 5,000 + 800 + 30 + 4.

The circumference of the circle is 25.12 inches. The Option C.

The Circumference, also perimeter of circle means the ratio of circumference to diameter of any circle.

The length of the segment represents radius of the circle which half length of diameter. So, the diameter is:

= 2 * 4 inches

= 8 inches.

The circumference is found using C = πd.

C = π*d

C = 3.14 * 8 inches

C = 25.12 inches.

Full question:

What is the circumference of the circle? Use 3.14 for π.

circle with a segment drawn from the center of the circle to a point on the circle labeled 4 inches

A. 157.75 inches

B. 50.24 inches

C. 25.12 inches

D. 12.56 inches.

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b is the correct answer because it equals the amount of the proplem

Answer:

its C.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Answer:

2(x+21) > -30

Step-by-step explanation:

The "number" is x

The sum of x and 21 times 2

Greater than looks like this: >

-30 less than 2(x+21)

88.8%=0.888

0.2=20%

Your welcome