Bob's team won 75% of its baseball games. it played 16 games in all. how many games did the team win?

Answer:

a.rational number

Step-by-step explanation:

We are given that a real  number 1.68

We have to find that given number belongs to which set

We know that

N={1,2,3...}

Whole numbers set ={0,1,2...}

Integers=Z={...-3,-2,-1,0,1,2,,,}

Rational number :That number which can be written in the form of [tex]\frac{p}{q}[/tex] where q is not equal to zero ,p and q are belongs to integers.

Irrational number: That number which is not rational is called irrational number.

Hence, given number 1.68 belongs to rational numbers set.

Answer : a.rational number

The ship is approximately 26.16 nautical miles from the harbor after following the described path.

To find the distance of the ship from the harbor after sailing due west for 28 nautical miles and then S68°W for another 17 nautical miles, we can use trigonometry to calculate the resultant displacement.

Let's break down the two legs of the journey:

1. Due west for 28 nautical miles is a straight line.

2. Sailing S68°W for 17 nautical miles forms an angle of 68° with the west direction.

Using trigonometry, we can find the horizontal and vertical components of the second leg:

Horizontal component = 17 * cos(68°)

Vertical component = 17 * sin(68°)

The total horizontal displacement from both legs is:

Horizontal displacement = 28 - (17 * cos(68°))

The total vertical displacement from both legs is:

Vertical displacement = 17 * sin(68°)

To find the distance from the harbor, we use the Pythagorean theorem:

Distance = √(Horizontal displacement² + Vertical displacement²)

Calculating:

Horizontal component = 17 * cos(68°) ≈ 6.93 nautical miles

Vertical component = 17 * sin(68°) ≈ 15.52 nautical miles

Horizontal displacement = 28 - (17 * cos(68°)) ≈ 21.07 nautical miles

Vertical displacement = 17 * sin(68°) ≈ 15.52 nautical miles

Distance = √(21.07² + 15.52²) ≈ √(443.9749 + 240.5504) ≈ √684.5253 ≈ 26.16 nautical miles

Therefore, the ship is approximately 26.16 nautical miles from the harbor after following the described path.

Answer:

Teddy avoids accidents.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The probability of getting a country CD out of all the CDs is the number of country CDs divided by the total number of CDs in Dante's Collection.

The total number of CDs in Dante's collection is [tex]6+12+8+4+10=40[/tex].

The total number of country CDs is 12.

So our required probability is [tex]\frac{12}{40}= \frac{3}{10}[/tex].

In percentage this is 3 divided by 10, and then multiply by 100. We get 30%. Answer choice D is correct.

ANSWER: D

Answer: D.) 30%

Step-by-step explanation:

From the given pie chart, we have the number of country CD = 12

The total number of CD's=[tex]12+8+4+6+10=40[/tex]

Now, the probability that a randomly chosen CD will be country is given by :-

[tex]\text{P(country)}=\dfrac{\text{Number of country CD}}{\text{Total CDs}}\\\\=\dfrac{12}{40}=\dfrac{3}{10}=0.3[/tex]

In percent, [tex]0.3\times100=30\%[/tex]

Hence, the probability that a randomly chosen CD will be country is 30%.

Answer:

Statement which describes the roots is:

2 real roots

Step-by-step explanation:

If the discriminant D of a quadratic equation follows:

D=0 then there are 2 equal real roots or 1 real root

D>0 then there are 2 unequal real roots

and if D<0 then there are 2 complex roots

Here, we are given  the discriminant of a quadratic equation is 4

i.e. D=4 >0

So, it means quadratic equation has 2 real roots

Hence, statement which describes the roots is:

2 real roots

Hence, statement which describes the roots is:

2 real roots

Answer:

Option A is correct.

Yes, by AA similarity criterion

Step-by-step explanation:

AA(Angle-Angle) Similarity Criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

In ΔBAC and ΔCED

[tex]\angle BAC = \angle CED = 17^{\circ}[/tex]   [Angle]        [Given]

[tex]\angle C = \angle C[/tex]     [Angle]          [Common angle]

Therefore, by AA similarity criterion;

[tex]\triangle BAC \sim \triangle CED[/tex]

Therefore,  ΔBAC and ΔCED are similar by AA similarity criterion.

Answer:

  about 473 mL

Step-by-step explanation:

For liquid measure, there are 16 cups in a US gallon, which is exactly 231 cubic inches. Each cubic inch is exactly 2.54³ = 16.387064 cubic centimeters--the same number of mL.

So, the exact conversion from cups to mL is ...

  1 cup = (231/16)(16.387064) mL = 236.5882365 mL

Multiplying this by 2 gives ...

  2 cups = 473.176473 mL

For many purposes, the nearest mL is sufficiently accurate:

  2 cups ≈ 473 mL

The cost to rent 1 canoe from the rent made by the group of the girls and boys is $25.

Word problems are a mathematical interpretation by using variables, numbers, and arithmetic operations to solve real-life problems.

From the given information:

Now, we can have a system of equations, and we can solve for the number of canoes and the inner tubes rented.

Using Elimination method:

2c + 3t = 80    --- × (1)

c + 7t = 95       --- × (2)

2c + 3t = 80

-2c + 14t = 190          

 0  +  -11t = -110        

-11t = -110

t = -110/-11

t = 10

From equation (1)

2c + 3t = 80

2c + 3(10) = 80

2c + 30 = 80

2c = 80 - 30

2c = 50

c = 50/2

c = 25

Therefore, we can conclude that the cost of the rent of 1 canoe is $25.

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It is important to start saving for retirement decades before retirement age because of compound interest. When you start saving at a younger age, you have more time for your money to compound. In other words, you can start with a smaller amount of money and after 30 years of compounding, it can grow to a larger amount.

Compounding is the formula 1 + r to the n which means interest compounds into more interest over time.

Final answer:

Option c, 15/16, is the correct answer because it cannot be simplified to 7/8, making it not equivalent to 7/8, while the other options are equivalent after simplification.

Explanation:

The question asks us to identify which fraction is not equivalent to 7/8. To determine this, we need to compare each option with 7/8:

Hence, the correct answer is option c, which is not equivalent to 7/8.

Answer: The probability that she will guess correctly on the third question [tex]=\frac{1}{4}[/tex]

Step-by-step explanation:

Given: The math test has 10 multiple choice questions, each with 4 answers.

To find  probability that she will guess correctly on the third question, we need to just look at only one question which has 4 options and one of them is the right answer, thus probability of choosing the right answer from 4 option is the fraction of 1 over 4.

The probability that she will guess correctly on the third question

[tex]=\frac{\text{answer of a question}}{\text{total options of a question}}[/tex]

[tex]=\frac{1}{4}[/tex]

Answer:

○ [tex]\displaystyle y ≤ -7[/tex]

Step-by-step explanation:

Whenever you divide\multiply by a negative, you reverse the inequality symbol.

I am joyous to assist you anytime.

Answer:

(C) Square feet

Step-by-step explanation:

In order to take the measurements, he should use the square feet unit of measure.

As, the cubic feet also known as unit of volume can be defined as the volume of the cube with sides of one foot in length. Since, the bathroom is two dimensional therefore, cubic feet can't be used.

Yards are basically a unit of length use to measure length and perimeter and square yards are used in measuring the long space and the bathroom is bit too small for it.

Therefore, square feet should be used to measure.

The equation sin(-13π/4) = -5π/4 is incorrect.

The correct value for sin(-13π/4) is actually 1/√2 or √2/2, not -5π/4.

Here, we have,

To understand why, let's break down the calculation step by step:

The sine function represents the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.

In this case, we have an angle of -13π/4.

To find the reference angle,

we can add 2π to -13π/4 to bring it into the standard range of angles:

-13π/4 + 2π = -5π/4

Now, we can find the reference angle of -5π/4 in the unit circle or trigonometric table.

The reference angle of -5π/4 is π/4.

Since sine is positive in the second quadrant,

the value of sin(-5π/4) is the same as sin(π/4), which is 1/√2 or √2/2.

Therefore, the correct exact value of sin(-13π/4) is 1/√2 or √2/2, and not -5π/4.

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Final answer:

To find the volume of a regular hexahedron with a face diagonal of 8√2 inches, we first calculate the side length of the cube and then use it to determine the volume, resulting in a volume of 512 cubic inches.

Explanation:

The question asks to find the volume of a regular hexahedron (which is a cube), given the diagonal of one of its faces is 8√2 inches. Since we know the face of a hexahedron is a square, we can use the Pythagorean theorem to find the side of the square. The diagonal (d) of a square relates to its side (s) by the formula d = s√2. Therefore, we can solve for s: s = d / √2 = (8√2) / √2 = 8 inches. Now that we have the length of the side of the cube, we can compute the volume (V) using the formula V = s3. Substituting s = 8 inches, we calculate the volume as V = 83 = 512 cubic inches.

option b) 5 km

1 km = 1000 m

Divide the number of meters by 1000:

5000 m / 1000

= 5 km

So, 5000 meters is equal to 5 kilometers.

The correct answer is 5 km.

That is to say, if c = -2, f(x) is continuous at x = 4. 

Because f is continuous for all over values of x, it now follows that f is continuous for all real nubmers [tex](-\infty, +\infty)[/tex]

The change in position or displacement of an object in the time interval is known as average velocity of the object. The value of the average velocity is 60 miles per hour.

Given-

A car travels 180 miles north in 3 hours.

Average velocity- The change in position or displacement of an object in the time interval is known as average velocity of the object. It can be positive or negative depending upon the sign of the displacement.

[tex]\overline v=\dfrac{\Delta v}{\Delta t}[/tex]

Here [tex]\Delta v[/tex] is the change in displacement and [tex]\Delta t[/tex] is the change in time.

Use this formula to find the average velocity in the given formula we have to  put the values velocity and time given in the question. Therefore,

[tex]\overline v=\dfrac{180}{3}[/tex]

[tex]\overline v=60[/tex]

Hence, the value of the average velocity is 60 miles per hour.

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