10. The following frequency table contains the total number of deaths worldwide as a result of earthquakes from 2000 to 2012.YearDeaths2000231200121,357200211,685200333,8192004228,802200588,00320066,6052007712200888,01120091,7902010320,120201121,8532012768Total823,756What is the total frequency of deaths from 2006 through 2009?

Answer:

\(b=54\)

Step-by-step explanation:

Solve for  \(b\)  by simplifying both sides of the equation, then isolating the variable.

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Answer:

B=54

Step-by-step explanation:

B/3=18

B=18×3

so, B=54

Ans

Thus, the answer is Kelsey is the one who is correct. Because the number of intercepts is different from the number of zeroes.

1) Examining the question, we take into consideration that not all intercepts are zeroes of the polynomial.

In a third-degree polynomial function, there is another kind of intercept. The y-intercept.

2) So, we can tell that there is no way for both of them to be correct.

3) Thus, the answer is Kelsey is the one who is correct. Because the number of intercepts is different from the number of zeroes.

The set of positive integers less than 1000 that are:

a)Divisible by 7 are 142

b)Divisible by 7 but not by 11 are 130

c)Divisible by both 7 and 11 are 12

d)Divisible by either 7 or 11 are 220

e)Divisible by exactly one of 7 and 11 are 220

f)Divisible by neither 7 nor 11 are 780

g)Having distinct digits are 576

h)Having distinct digits and even are 337

We have,

A whole number that is greater than zero is known as positive integer

a)The positive numbers below 1000 that are divisible by 7 are 7, 14, 21, 28,..., 994.

Total terms: 994, divided by 7, plus (n-1)

There are 142 total terms below 1000 that are divisible by 7.

b) The numbers 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, and 924 are all divisible by both 7 and 11.

The total number of integers below 1000 that are divisible by 7 but not 11 therefore equals 142 - (total number of integers divisible by 7 and 11), which means that the total number of integers that fall into this category is 130.

c) The total amount of integers that can be divided by both 7 and 11 equals the total amount of integers that can be divided by 77.

There are 12 total integers below 1000 that can be divided by 77.

d) The total number of integers that can be divided by either 7 or 11 is equal to the sum of the numbers that can be divided by each of those numbers and the number that can be divided by 77.

The total number of integers below 1000 that are divisible by 11 is (11,22,33,...,990). 990 = 11 + (n-1) 11, which equals 90 integers.

Total integers that may be divided by both 7 and 11 are equal to 142 + 90 - 12 = 220.

e) The total number of integers that may be divided by either 7 or 11 perfectly is equal to 142 + 90 - 12 = 220 numbers.

f) The total number of integers that cannot be divided by either 7 or 11 is 1000 - (The total number of integers that can be divided by either 7 or 11), which is 1000 - 220 = 780 numbers.

g)Distinct digits from 1 to 100 = 100 - Total number of integers below 1000 with distinct digits = 1000 - (non-distinct digits) ( 11,22,33,44,55,66,77,88,99,100),

=> Unique digits from 1 to 100 equal 90.

=> The distinct numerals 101 to 200 equal 100. (101,110,111,112,113,114,115,116,117,118,119,121,122,131,133,141,144,151,155,161,166,171,177,181,188,191,199,200),

=> Unique digits from 101 to 200 are: 100 to 28, 72.

=> Unique numbers between 201 and 1000 = 72 x 8 = 576.

h)Different digits and even values equal to 337

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Answer:

Step-by-step explanation:

45

Answer:

Step-by-step explanation:

5

Question 15.

Given:

Length of side opposite the indicated angle = 12 units

Length of side adjacent the hypotenuse = 24 units

Let's find the measure of the indicated angle.

Here, we have a right triangle.

To find the measure of the indicated angle, apply the trigonometric ratio formula for sine:

Where:

θ is the indicated angle.

Thus, we have:

Take the sine inverse of both sides:

Therefore, the measure of the indicated angle us 30 degrees.

• ANSWER:

30°

A. The system of equations in standard form is: 4x + 5y = 540 and 3x + 5y = 440.

B. The y-intercept of the equation representing the prices on Saturday night is 108, and the y-intercept of the equation representing the prices at the matinee on the second day is 88.

A) Let's define the variables:

Let x represent the number of children attending.

Let y represent the number of adults attending.

On Saturday night:

The equation for the revenue generated on Saturday night is:

4x + 5y = 540 (since children's tickets cost $4 and adults' tickets cost $5, and the total revenue is $540).

Matinee on the second day:

The equation for the revenue generated at the matinee is:

3x + 5y = 440 (since children's tickets cost $3 and adults' tickets still cost $5, and the total revenue is $440).

Therefore, the system of equations in standard form is:

4x + 5y = 540

3x + 5y = 440

B) Let's rewrite the system of equations in slope-intercept form:

On Saturday night:

4x + 5y = 540

Rearranging the equation, we get:

5y = -4x + 540

Dividing both sides by 5, we get:

y = (-4/5)x + 108

The y-intercept of this equation is 108.

Matinee on the second day:

3x + 5y = 440

Rearranging the equation, we get:

5y = -3x + 440

Dividing both sides by 5, we get:

y = (-3/5)x + 88

The y-intercept of this equation is 88.

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Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

To determine the 'intervals of increase' and 'intervals of decrease' we can refer to the graph with respect to the x - axis.

• Knowing that t = x - axis, the 'intervals of increase' as an inequality would be 1 < x < 3, and 4 < x < ∞. Therefore we have our intervals of increase as (1,3) and (4, ∞).

• Respectively our 'intervals of decrease' as inequalities would be - ∞ < x < 1, and 3 < x < 4. Our intervals of decrease would then be (- ∞, 1) and (3,4).

• We are left with our local extrema and absolute extrema. Now remember the absolute extrema is the absolute lowest point in the whole graph, while the local extrema is the lowest point in a restricted interval. In this case our local extrema is our maximum, (3,1). But this maximum is not greater than the starting point (0, 4) so it appears, and hence their is no absolute extrema.

Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)

The value of the missing variables in the given similar triangles are x = 9 and d = 24

Similar triangles are the triangles that look similar to each other but their sizes might not be exactly the same.

Given that, two pairs of similar triangles, we need to find the value of missing variables,

We know that,

The corresponding side of the similar triangles are in equal ratios,

a) 15 / 3x-6 = 55 / 77

5 / x-2 = 5 / 7

x-2 = 7

x = 9

b) d / 18 = 28 / 21

d / 18 = 28 / 21

d = 24

Hence, the value of the missing variables in the given similar triangles are x = 9 and d = 24

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The quadratic equations are classified as follows:

If the discriminant of the quadratic equation is positive, then the equation has two real solutions.

If the discriminant is zero, then the equation has one real solution.

If the discriminant is negative, then the equation has no real solutions (but may have complex solutions).

Let's classify the given quadratic equations based on the number of solutions:

20² +5 = 9 is not a quadratic equation because it does not have a variable with a degree of two. Instead, it is just a number that evaluates to a false statement.

Therefore, it has no solution.

2x² + 3x = 5 is a quadratic equation with a = 2, b = 3, and c = -5. The discriminant is 3² - 4(2)(-5) = 49, which is positive.

Therefore, the equation has two real solutions.

3x² + 2x = 22 is a quadratic equation with a = 3, b = 2, and c = -22. The discriminant is 2² - 4(3)(-22) = 100, which is positive.

Therefore, the equation has two real solutions.

4x² + 12x = 19 is a quadratic equation with a = 4, b = 12, and c = -19. The discriminant is 12² - 4(4)(-19) = 400, which is positive.

Therefore, the equation has two real solutions.

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Drag each equation to the correct location on the table.

Classify the quadratic equations based on the number of solutions.

20² +5 = 9

2x² + 3x = 5

3x² + 2x = 22

4x² + 12x = 19

One Solution

Two Solutions

No Solution

The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

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Answer:

Step-by-step explanation:

(0 - 3)/(-2 + 5) = -3/3 = -1

y - 0 = -1(x + 2)

y = -x - 2

Answer:

43%

Step-by-step explanation:

First, find the total amount of games:

13 + 15 + 2

= 30

Then, to find the percentage of games won, divide 13 by 30:

13/30

= 0.43

So, the team won approximately 43% of its games

Answer: Approximately 43.3%

Work Shown:

13+15+2 = 30 games total

Divide the number of games won (13) over the number total (30)

13/30 = 0.433 approximately which converts to 43.3% of the games won

To convert from decimal form to percent form, move the decimal point over to the right two spaces. Another example would be 0.83 converts to 83%

Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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Step-by-step explanation:

law of cosine

c² = a² + b² - 2ab×cos(C)

c is the side opposite of the C angle. a and b are the other 2 sides.

AB² = 4² + 4² = 16 + 16 = 32

AB = c = sqrt(32) = 5.656854249...

since a and b are equal (isoceles triangle), so must be the angles at A and B.

the sum of all angles in a triangle is always 180°.

180 = angle A + angle B + angle C

= angle A + angle B + 120

since angle A = angle B we get

180 = 2×angle A + 120

2×angle A = 60°

angle A = angle B = 30°.

The number of centilitres which is equivalent to 0.00005 liters as required to be expressed in standard form is; 5 × 10-² cL.

Recall that; it follows from metric systems that;

100 centilitres = 1 litres.

On this note, it follows from proportion that the number of centilitres present in 0.00005 litres as required is;

= 0.00005 × 100 centilitres

= 0.005 centilitres.

Ultimately, when expressed in standard form, it follows that the number of centilitres in 0.00005 liters is; 5 × 10-² cL.

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Answer:

16 are oak trees

Step-by-step explanation:

2/9 of 72=

16

thus making the answer 16 oak trees

Answer:

Hi there!

Your answer is:

16 of the trees are Oak trees!

Step-by-step explanation:

72÷ 9= 8

8× 2= 16

Check your work!

16× 4 + (16/2) should equal 72!

and it does!

Hope this helps

The value of 11(d-c)+3(c+d) by using the values c=6 and d=9 is 69.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

Expression: 11(d-c)+3(c+d)

Now, put the values of c= 6 and d= 9 we get

11(d-c)+3(c+d)

= 11 (9- 6) + 3( 9+3)

= 11 (3) + 3 (12)

= 33+ 36

= 69

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Answer:

F. 824.8 ft³

Step-by-step explanation:

To find the volume of a cube, you want to multiply the length by width by height.

l = 8.2

w = 9.4

h = 10.7

l • w • h

8.2  • 9.4 • 10.7

= 824.756

Round to the nearest tenth.

824.8 ft³

Hope this helps!

49 is the smallest possible value of x.

Given: x, y, and z are three perfect square numbers.

What is the least x that can be?

Currently, we have three numbers by the stipulation:

x > y > z > 0

and AP has these figures.

Let's now list every perfect square from 1 to 10 in the following order: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.

As a result, we can observe that 25 is equal to the product of 1 plus 49.

The possible outcomes are 1, 25, and 49.

If x = 49 and z = 1, then

x + z / 2 = y

49 + 1 / 2 = y

y = 50 / 2

y = 25

Y is therefore 25 and X is 49.

As a result, 49 is the lowest value of x that can exist.

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Answer:

Standard Form:

33,240

Expanded Notation Form:

 33,240 =

 30,000  

+ 3,000  

+ 200  

+ 40  

+ 0  

Expanded Factors Form:

   33,240 =

 3 × 10,000  

+ 3 × 1,000  

+ 2 × 100  

+ 4 × 10  

+ 0 × 1  

Expanded Exponential Form:

 33,240 =

       3 × 10^4

+ 3 × 10^3

+ 2 × 10^2

+ 4 × 10^1

+ 0 × 10^0

Word Form:

33,240 =

thirty-three thousand two hundred forty

Answer:

60

Step-by-step explanation:

Answer:

it is 60

Step-by-step explanation:

The correct value of the given function is (E) g⁻¹(-3) = 3.

So, g⁻¹(-3):

Then, g(x)·x = (-1)(-3) = 3

Therefore, the correct value of the given function is (E) g⁻¹(-3) = 3.

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Answer:

q = \(\frac{1}{2}\)

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

then the nature of the roots can be found using the discriminant

Δ = b² - 4ac

• if b² - 4ac > 0 then roots are real and irrational

• if b² - 4ac = 0 then the roots are real and equal

• if b² - 4ac < 0 then the roots are not real

qx² - 6x + 18 = 0 ← is in standard form

with a = q , b = - 5 , c = 18

for one repeated (equal) real root , then

b² - 4ac = 0 ( substitute values )

(- 6)² - (4 × q × 18) = 0

36 - 72q = 0 ( subtract 36 from both sides )

- 72q = - 36 ( divide both sides by - 72 )

q = \(\frac{-36}{-72}\) = \(\frac{1}{2}\)

An equation of the trend line in the scatter plot is equal to y = -4x/9 + 9.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (5 - 9)/(9 - 0)

Slope (m) = -4/9

At data point (0, 9) and a slope of -4/9, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 9 = -4/9(x - 0)  

y - 9 = -4x/9

y = -4x/9 + 9

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When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

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Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.

a) 209.5mg/dL

b) 204mg/dL

c) zero modes

Mean is also known as average of a dataset. Given the data expressed below;

Given the following parameters

Sum of data = 176 + 251 + 247 + 262 + 150 + 214 + 192 + 194 + 154 + 255

Sum of data = 2095

Sample size = 10 (Total measurement)

Determine the mean of the data

Therefore the mean of the data is 209.5mg/dL

b) The median of the dataset is the value in the middle after rearrangement. On rearranging in ascending order;

150, 154, 176,192, (194, 214), 247, 251, 255, 262

The two values at the middle are 194 and 214.

c) The mode of the data is the value that occur the most in the dataset. SInce all the data only appear once in the dataset, hence there are ZERO MODES

The lateral surface area of the square pyramid is  176 in².

The first thing we need to do is find the slant height of the pyramid, which is the height of each of the triangular faces. We can use the Pythagorean theorem to do this:

slant height² = height² + (1/2base)²

slant height² = 7² + (1/28)²

slant height² = 49 + 16

slant height² = 65

slant height = √(65)

Now that we have the slant height, we can find the lateral surface area by multiplying the perimeter of the base by half the slant height. The perimeter of the base is simply 4 times the length of one of the sides, which is 8 inches.

lateral surface area = (perimeter of base * slant height) / 2

lateral surface area = (4 * 8 * √(65)) / 2 lateral surface area = 16 * √(65)

To simplify the radical, we can factor out any perfect squares that are factors of 65:

lateral surface area = 16 * √(65)

lateral surface area = 16 * √(513)

lateral surface area = 16 * √(5) * √(13)

lateral surface area = 16 * √(5) * √(43.25)

lateral surface area = 16 * √(5) * (2 * √(3.25))

lateral surface area = 64 * √(5) = 176.42 square inches.

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