Find the circumference of the circle, round to the nearest tenth. Answer: H​

The intensity of excercise increases the heart rate, that is, more intensity the excersice, greater the heart rate.

It means that there is a positive correlation between int

Answer: 13

Step-by-step explanation:

Answer:

I think it's a

Step-by-step explanation:

a - many-to-many

b - many-to-one

c - one-to-one

d - one-to-one

Answer:

(-4,1)

Step-by-step explanation:

change the sign of the x value to a negative

(-1,3)

add 3 to the x value since it's horizontal

(-4.3)

subtract 2 from the y value, since it's vertical

(-4,1)

hope this helps.

Answer:

56x² - 120x + 16 ; (9x - 5)² - (5x - 3)²

x in both equations is 5

Step-by-step explanation:

Painting 1 : 81x^2 - 90x + 25

Painting 2 : 25x^2 + 30x + 9

Expression for the difference between the two paintings :

Painting 1 - painting 2

(81x^2 - 90x + 25) - (25x^2 + 30x + 9)

81x^2 - 90x + 25 - 25x^2 - 30x - 9

81x² - 25x² - 90x - 30x + 25 - 9

56x² - 120x + 16

2.)

81x^2 - 90x + 25 = 1600in²

25x^2 + 30x + 9 = 484 in²

Factorizing each equation :

81x^2 - 90x + 25 = 1600 in²

(9x - 5)^2 = 1600 in²

25x^2 + 30x + 9 = 484 in²

(5x - 3)^2 = 484

(9x - 5)² - (5x - 3)²

2.)

(9x - 5)^2 = 1600

Take square root of both sides

9x - 5 = 40

9x = 40 + 5

9x = 45

x = 45/9

x = 5

(5x - 3)^2 = 484

Take square root of both sides

5x - 3 = 22

5x = 22 + 3

5x = 25

x = 25/5

x = 5

The destroyer Moon’s distance from the port at the Isle of Wight is 140.2 miles.

Bearing can be used to determine the position and distance of a given object to a reference point. Thus, the destroyers Moon's distance from Port is 140.2 mi. To determine the exact position or location of an object, bearing as a topic can be used. Let the distance of the Moon from the Port at Isle of Wright be represented by x.

From the Cosine rule, we have:

\(c^{2}\) = \(a^{2}\) + \(b^{2}\) - 2abCos C\(x^{2}\) = \((44.7)^{2}\) + \((141.1)^{2}\) - 2(944.7*141.1)Cos \(69^{o}\)    

= 1998.09 + 19909.21 - (6307.17*0.3584)    

= 21907.3 - 2260.49    

= 19646.81

x = \(\sqrt{19646.81}\)  

= 140.1671

x = 140.2

Therefore, the destroyers Moon's distance from Port at Isle of Wright is 140.2 mi.

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Step-by-step explanation:

\(a {b}^{2} = \frac{27}{5} \\ \\ {a}^{2} b = 135 \\ \)

\( {b}^{2} = \frac{5.4}{a} \\ {a}^{2} = \frac{135}{b} \)

\(b = \sqrt{ \frac{5.4}{a} } \)

\(b = { ( \frac{5.4}{a} ) }^{0.5 } \\ \\ b = \frac{2.32}{ {a}^{0.5} } \\ \)

\( {a}^{2} = \frac{135}{ \frac{2.32}{ {a}^{0.5} } } \\ {a}^{2} = \frac{135 {a}^{0.5} }{2.32} \\ \)

\( {a}^{2} = 58.19 {a}^{0.5} \)

\( {a}^{1.5} = 58.19\)

a =15.018(approximately)

\(b = \frac{2.32}{ {a}^{0.5} } \\ b = \frac{2.32}{3.875} \\ b = 0.598\)

b= 0.598 (approximately)

a+5b =18

Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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Step-by-step explanation:

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The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.

The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.

Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.

It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.

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To express g(x) in terms of f(x) when f(x) is reflected over the x-axis, stretched vertically by a factor of 2, and translated up 6 units.

Let's break down the steps to obtain g(x) in terms of f(x):

1. Reflection over the x-axis: When a function is reflected over the x-axis, the sign of the y-values is changed. So, if f(x) is reflected over the x-axis, we have -f(x).

2. Vertical stretch by a factor of 2: A vertical stretch multiplies the y-values by a factor. In this case, since we want to stretch by a factor of 2, we multiply -f(x) by 2, resulting in -2f(x).

3. Translation upward by 6 units: To translate the function upward, we add a constant to the y-values. In this case, we want to translate upward by 6 units, so we add 6 to -2f(x), giving -2f(x) + 6.

Therefore, g(x) can be expressed as -2f(x) + 6, where f(x) is the original function reflected over the x-axis, stretched vertically by a factor of 2, and translated up 6 units.

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The area of the parallelogram with vertices (0,0), (3,6), (8,2), and (11,8) is 0 square units.

To find the area of a parallelogram with given vertices, we can use the formula:

Area = |(x1y2 + x2y3 + x3y4 + x4y1) - (y1x2 + y2x3 + y3x4 + y4x1)| / 2

Given the vertices:

A = (0, 0)

B = (3, 6)

C = (8, 2)

D = (11, 8)

We can plug these coordinates into the formula to calculate the area:

Area = |(0*6 + 3*2 + 8*8 + 11*0) - (0*3 + 6*8 + 2*11 + 8*0)| / 2

Area = |(0 + 6 + 64 + 0) - (0 + 48 + 22 + 0)| / 2

Area = |70 - 70| / 2

Area = 0 / 2

Area = 0

Therefore, the area of the parallelogram with vertices (0,0), (3,6), (8,2), and (11,8) is 0 square units.

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The order of the numbers from least to greatest is:

 85% < Two and one fifth < 3.24 < Nineteen over 4

The given data set of numbers are: nineteen over 4, two and one fifth, 85%, and 3.24

In order to compare these numbers, we will change all of them into float (decimal) format.

nineteen over 4 = 19/4 = 4.75

two and one fifth = 2 \(\frac{1}{5}\) = 11/5 = 2.2

85% = 85/100 = 0.85

And 3.24 are the numbers set.

Now the order of numbers from least to greatest is clear.

Since 0.85 < 2.2 < 3.24 < 4.75, we can conclude

   85% < 2 \(\frac{1}{5}\) < 3.24 < 19/4

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Mathematics is a fundamental subject in education that is essential in the development of an individual’s critical thinking and problem-solving skills. It is one of the primary subjects that are taught in elementary schools and must be taught appropriately for children to understand and gain the required skills. One true statement about mathematics teaching in elementary schools is that it should be student-centered.

Teachers should focus on the child's understanding, individual learning abilities and styles, and progress.The learning experience should not be centered on the teacher but on the students. Teachers should also make the subject engaging and interactive to enable students to grasp the content easily and maintain their interest in the subject. Besides, teachers should develop a personalized learning approach that allows students to learn and understand the subject at their own pace while creating opportunities for individual and group learning. Through such learning approaches, students can develop the required mathematical concepts and competencies such as critical thinking, problem-solving, and decision-making skills that will be beneficial in their future endeavors.

In elementary schools, mathematics teaching should be student-centered. It should be engaging and interactive to enable students to grasp the content easily and maintain their interest in the subject.

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Answer:

$11.60

Step-by-step explanation:

$9.39

Tax: 3.5%

3.5 ÷ 100 = 0.035 × 9.39 = 0.33

Tax 0.33

9.39 + 0.33 = $9.72

Tip: 20%

20÷ 100 = 0.2 × 9.39 =1.88

tip 1.88

9.72 + 1.88 = 11.60

total $ 11.60

The link represented by function g multiplies the dependent variable by 9 for every increase of 2 units in the independent variable. The equation that represents g is \(g(x)= 2 \times3^x\),and the function has a value of 2 at 0

Let x be the independent variable, and let g(x) be the dependent variable.

According to the problem, for every 2 units the independent variable increases, the dependent variable is multiplied by 9. This suggests an exponential relationship of the form:

 \(g(x)= a \times b^x\)

where a is the initial value of the dependent variable (when x=0), and b is the growth factor (how much the dependent variable changes for every unit increase in x).

We are given that g(0) = 2, so we can plug in these values and solve for a:

 \(g(0)= a \times b^0\)

a = 2

So now we have:

\(g(x)= 2 \times b^x\)

We still need to find the growth factor b. We are told that the dependent variable is multiplied by 9 for every 2 units the independent variable increases. In other words:

\(g(x+2) = 9 \times g(x)\)

Using our equation for g(x), we can substitute in and simplify:

  \(2 \times b(x+2) = 9 \times 2\times b^x\)

Simplifying, we get:

\(b^2\) = 9

Taking the square root of both sides (we take the positive square root since b must be positive in order for g to be an increasing function), we get:

b = 3

So the final equation for g(x) is:

\(g(x) = 2 \times 3^x\)

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The value of a, b, c is -18 , 7 , 27

An function is a mathematical statement which defines relationship between , a dependent and an independent variable.

The given function is

f(x) = 5x -8

f(-4) = -28

f(-2) = -10-8 = -18

f(3) = 15-8 = 7

f(7) = 35-8 = 27

Column 1          Column 2

-4                           -28

-2                           -18

3                               7

7                               27

Therefore the value of a, b, c is -18 , 7 , 27

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Answer:

q

Step-by-step explanation:

w

The expression that represents how much more Elena spent is $3.2 + p

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

The variable p represents the price, in dollars, per pound of cherries.

Elena buys a watermelon for $ 6.35 and 5 pounds of cherries.

So, the price of the cherries bought by Elena will be = 5*p

Then the total amount spent by Elena during her purchase of fresh fruits is:

$6.35 + 5*p

On the other hand, Tania buys a pineapple for $ 3.15 and 4 pounds of cherries. So, the price of the cherries bought by Tania will be 4*p

Therefore, the total amount spent by Tania during her purchase of fresh fruits is:

$3.15 + 4*p

You want to determine an expression to represent how much more Elena spent. That is, you want to determine the difference between the money spent by Elena and the money spent by Tania, which represents how much more Elena spent:

Total amount spent by Elena on fresh fruits - Total amount spent by Tania on fresh fruits

$6.35 + 5*p - ($3.15 + 4*p)

Solving:

$6.35 + 5*p - $3.15 - 4*p

($6.35 - $3.15) + (5*p - 4*p)

$3.2 + p

The expression that represents how much more Elena spent is $3.2 + p

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Answer:

no

Step-by-step explanation:

bc in order for the size of a pack to be represented as the function of ots price, you need to have the same ratio for every pack

but if you do the math

2.30/1000=0.0023

1.70/850=0.002

they do not have the same ratio

so no

The value of x is 7/3, which can be rounded to two decimal places as approximately 2.33.

To solve the equation 2x + 8 + 4x = 22, we need to combine like terms and isolate the variable x.

Combining like terms, we have:

6x + 8 = 22

Next, we want to isolate the term with x by subtracting 8 from both sides of the equation:

6x + 8 - 8 = 22 - 8

6x = 14

To solve for x, we divide both sides of the equation by 6:

(6x) / 6 = 14 / 6

x = 14/6

Simplifying the fraction 14/6, we get:

x = 7/3

Therefore, the value of x is 7/3, which can be rounded to two decimal places as approximately 2.33.

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A function is a mapping from domain to range. The domain of the function \(y = \sqrt{x+6} - 7\) is given as: \(x \geq -6\) or \(x \in [-6, \infty)\) (both are same)

One method of finding the domain of a function is to start by finding the values for which it isn't defined.

Assuming that the function  \(y = \sqrt{x+6} - 7\) is defined for only real numbers, then, as we know that:

\(\sqrt{x}\) exists only if x is non-negative, which means for  \(\sqrt{x+6}\) to be defined, we need

\(x + 6 \geq 0\\x \geq -6\)

No other way is there for the function to be non-existing.

Thus, the values on which the function is defined is all real numbers bigger or equal to -6. This is the domain of the given function.

Thus,  the domain of the function \(y = \sqrt{x+6} - 7\) is given as: \(x \geq -6\) or \(x \in [-6, \infty)\) (both are same)

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Answer:

Its B

Step-by-step explanation:

If the probability that an event will occur is 1, it means that the event is certain to occur. Therefore, the likelihood of the event occurring is extremely high and it is certain that the event will occur.

Therefore, the statement "certain" or "100%" accurately describes the likelihood of the event occurring. The probability scale ranges from 0 to 1, where 0 indicates an impossible event and 1 indicates a certain event.

Therefore, a probability of 1 implies that the event will definitely occur. In other words, if the probability of an event is 1, then the occurrence of the event is certain and the event is bound to happen regardless of the number of trials performed.

Hence, the probability of 1 indicates the highest likelihood of an event occurring.

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The probabilities include:

1a) To find the probability of adding both times, use the formula: P(A and B) = P(A) × P(B)

There are 6 possible outcomes for each roll, so the sample space for rolling a die twice is 6 × 6 = 36.

There are 6 ways to get a sum of 7:

Each of these outcomes has probability 1/36, so the probability of getting a sum of 7 is 6/36 = 1/6.

Therefore, P(add both times) = P(sum of 7 or 8) = P(sum of 7) + P(sum of 8) = 1/6 + 1/6 = 1/3.

b) To find the probability of rolling an even number less than 5;

There are 2 even numbers less than 5: 2 and 4.

Each of these outcomes has probability 1/6, so the probability of rolling an even number less than 5 is 2/6 = 1/3.

c) To find the probability of getting the same number both times;

There are 6 possible outcomes where the same number is rolled both times: (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), and (6, 6). Each of these outcomes has probability 1/36, so the probability of getting the same number both times is 6/36 = 1/6.

2a) The probability of getting heads on the first toss is 1/2. The probability of selecting a P from INDIANAPOLIS is 2/11 (since there are 2 P's in the word and 11 letters total). Therefore, P(heads, then P) = P(heads) × P(P) = 1/2 × 2/11 = 1/11.

b) The probability of getting tails on the first toss is 1/2. The probability of selecting an N from INDIANAPOLIS is 2/11 (since there are 2 N's in the word and 11 letters total). Therefore, P(tails, then N) = P(tails) × P(N) = 1/2 × 2/11 = 1/11.

3a) P(red, then yellow) = P(red) x P(yellow) = (10/24) x (2/24) = 5/144

b) P(both blue) = P(blue) x P(blue) = (4/24) x (4/24) = 1/36

c) P(both dimes) = P(dime) x P(dime) = (18/40) x (17/39) = 153/780

4a) P(penny, then dime) = P(penny) x P(dime) = (8/40) x (18/39) = 36/390 = 6/65

b) P(silver coin, then penny) = 2 x (P(quarter) x P(penny) + P(dime) x P(penny) + P(nickel) x P(penny)) = 2 x [(4/40) x (8/39) + (18/40) x (8/39) + (10/40) x (8/39)] = 64/390 = 32/195

c) P(both dimes) = P(dime) x P(dime without replacement) = (18/40) x (17/39) = 153/780

5. The probability of getting heads on a single toss of a fair coin is 1/2. Since each coin toss is independent, the probability of getting heads on seven tosses in a row is (1/2)⁷ = 1/128.

6. The probability that both Kevin and Mike make their next putts is the product of their individual probabilities: (16/21) x (9/14) = 48/98 = 24/49.

7. The probability that it does not snow on Monday is 1 - 8/9 = 1/9. The probability that it does not snow on Tuesday is 1 - 3/16 = 13/16. Since the events are independent, the probability that it does not snow on either day is (1/9) x (13/16) = 13/144.

8. The probability of guessing a multiple choice question correctly is 1/4 and the probability of guessing a true-false question correctly is 1/2. Since each question is independent, the probability of guessing all five answers correctly is (1/4)² x (1/2)³ = 1/128.

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The expression θ = - 50° ± i · 360°, \(i \in \mathbb{N}_{O}\) represents the family of all angles coterminal with - 50° angle.

Two angles are coterminal if and only if their end have the same direction. Two consecutive coterminal angles have a difference of 360°. Then, we can derive an expression representing the family of all angles coterminal to - 50° angle.

θ = - 50° ± i · 360°, \(i \in \mathbb{N}_{O}\)

The expression θ = - 50° ± i · 360°, \(i \in \mathbb{N}_{O}\) represents the family of all angles coterminal with - 50° angle.

The statement is incomplete and complete form cannot be reconstructed. Thus, we modify the statement to determine the family of angles coterminal to - 50° angle.

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Answer:

total area = 18.28 in.^2

perimeter = 16.28 cm

Step-by-step explanation:

Area:

The total area of the figure is the sim of the area of the rectangle and the area of the semicircle.

total area = LW + (1/2)(pi)r^2

total area = (4 in.)(3 in.) + (1/2)(3.14)(2 in.)^2

total area = 12 in.^2 + 6.28 in.^2

total area = 18.28 in.^2

Perimeter:

The perimeter of the figure is the sum of the lengths of the left side, bottom side, and right side of the rectangle and the circumference of the half circle.

perimeter = 3 cm + 4 cm + 3 cm + (1/2)(pi)d

perimeter = 10 + (1/2)(3.14)(4 cm)

perimeter = 10 + 6.28 cm

perimeter = 16.28 cm

Answer:

The first one

Step-by-step explanation:

The dots are the farthest away from the line in that one.