if 3x โ 7 < 29, then which of the following must be true?; if x, y, and z are whole numbers greater than 2, and if xyz2 = 735, what is the value of x + y + z ?

Answer:

Step-by-step explanation:

33.3%

The measure of angle C in the vertical angles is B. 28.3°.

Vertical angles are the angles formed when two lines intersect. The term "vertical" in this context refers to the fact that they share the same Vertex (corner point), rather than the usual meaning of up-down.

When two lines intersect, vertical angles are formed. Because the angles are opposite each other, they are sometimes referred to as vertically opposite angles. Real-world examples of vertical angles include a railroad crossing sign, the letter "X," open scissors pliers, and so on.

There angles are equal. Therefore, it'll be 28.3°.

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Answer: 28.3 GO GET UR A+ BROSKI

Step-by-step explanation:

They're virtical angles which mean

THEY'RE THE SAME BRO

so just do 28.3 :)

If alpha specialize in growing apples beta specialize in growing oranges the both could gain profit by the trade is true for the statement

Comparative advantage describes a situation in which a person or a country involved in trade processes may not have an absolute advantage, but can still benefit from trade on a comparative basis.

The nations frequently trade goods based on their comparative advantages so that both parties can benefit from trade.

According to the stated information,

Alpha can produce either 18 oranges or 9 apples per hour, while beta can only produce 16 oranges or 4 apples per hour, it is stated.

so ,If alpha specialize in growing apples and beta specialize in growing oranges the both could gain profit by the trade

Hence, option C is true

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Absolute Value: The "unsigned" number that corresponds to the (Positive) distance between a number and zero on the number line. [tex]| - 4| = 4 and | 4| = 4;[/tex]

Positive and negative integers, fractions, rational numbers, including irrational numbers, and negative integers are all examples of real numbers. fictitious numbers,  Real numbers are those that fall between the two extremes,

Absolute Value: The "unsigned" number that corresponds to the (Positive) distance between a number and zero on the number line. | - 4| = 4 and | 4| = 4; The collection of positive numbers used to count items is known as the counting numbers, sometimes known as natural numbers. 1, 2, 3, 4, 5, ...; Fractions and decimals are not integers; rather, integers are the set of all whole numbers, along with their opposites (the positive whole numbers, the negative whole numbers, and zero). -3, -2, -1, 0, 1, 2, 3, ...; Irrational Numbers - The collection of all non-terminating, non-repeating decimal numbers; Natural Integers: The collection of positive numbers utilized in object counting (also called counting numbers). 1, 2, 3, 4, 5, ...; Unfavorable Numbers - the range of numbers on the number line that are less than zero and to the left of zero.; Number Line - a horizontal line with points representing different numbers. In a number line with just whole numbers or integers, the dots are uniformly spaced out according to the value of the number they represent.; Opposite - a number that is on the other side of zero and at the same distance from zero as a given integer. For instance, the opposites of 7 and -7 and 9 and 9 are both 7; positive figures - the group of numbers on the number line that are greater than zero and to the right of zero.

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The value of the formula will be;

⇒ S = 180 (n - 2)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''The sum S of the measures of the angles of a polygon is equal to 180 times the difference of the number of sides n and 2.''

Now,

Since, The algebraic expression is,

''The sum S of the measures of the angles of a polygon is equal to 180 times the difference of the number of sides n and 2.''

Hence, We can formulate the expression as;

⇒ S = 180 (n - 2)

Thus, The value of the formula is,

⇒ S = 180 (n - 2)

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Answer:

3√3v/3x V

Step-by-step explanation:

d/dt[32/3π, sin (tim), 3√3v/3x, V]

Answer: 20%

Step-by-step explanation: Annual depreciation = $2,600 * 12 = $31,200

Annual depreciation rate = Annual depreciation /Depreciable costs

= $31,200 / ($188,000 - $32,000)

= 20%

The team a finishes with more points than team b with a probability of 319/512

seven teams play a soccer tournament in which each team plays every other team exactly once

in the first game of the tournament, team a beats team b

We need to find  the probability that team a finishes with more points than team b

Both teams, a and b play 6 matches each

In the first match, a wins. Now they can play 5 matches each

Of the remaining 5 games

a win 0 and b win zero

P(a > b) = 5C1/2^5 x 5C1 / 2^5 = 1/1024

a win 1 and b win 1 or zero

P(a > b) = 5C1/2^5 x(5C0 + 5C1) / 2^5 = 30/1024

a win 2  and b win 2 or 1 or zero

P(a > b) = 5C2/2^5 x(5C0 + 5C1 + 5C2) / 2^5 = 160/1024

a win 3 and b win 3 or 2 or 1 or zero

P(a > b) = 5C3/2^5 x(5C0 + 5C1 + 5C2 + 5C3) / 2^5 = 260/1024

a win 4 and b win 4 or less

P(a > b) = 5C4/2^5 x(5C0 + 5C1 + 5C2 + 5C 3 + 5C4) / 2^5 = 155/1024

a win 5 and b win 5 or less

P(a > b) = 5C1/2^5 x(5C0 + 5C1+ 5C2 + 5C3 + 5C4 + 5C5) / 2^5 = 32/1024

P(a> b) = (1 + 30 + 160 + 260 + 155 + 32)/1024 = 638/1025 = 319/512

Therefore, the  the probability that team a finishes with more points than team is 319/512

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Answer:

minus 5 times x and the quantity x squared minus 1.

Step-by-step explanation:

Step-by-step explanation:

???

(x + y) + 3

this is 3 more than the sum of x and y.

The simplified form of function sin(t)sec(t) is tan(t)

The trigonometric functions and identities are the ratio of sides of a right-angled triangle. The sides of a right triangle are the perpendicular side, hypotenuse, and base, which are used to calculate the sine, cosine, tangent, secant, cosecant, and cotangent values using trigonometric formulas.

sec(t) = 1/cos(t)

replacing sec(t) in the function sin(t)sec(t)

we have sin(t) x 1/cos(t) which  becomes sin(t)/cos(t)

but sin(t)/cos(t) = tan(t)

In conclusion the simplified form of the function is  tan(t)

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Josiah will take 1.5 hours to travel to work at the speed of 55 miles per hour.

As the speed and time are inversely proportional to each other, we can represent it as -

speed(i)/speed(f) = time(f)/time(i), where I represents initial and f represents final. Now, keep the values in formula to find the time (final).

35/55 = time(f)/2.5

Rewriting the equation according to variable time(f).

time(f) = (35×2.5)/55

Performing multiplication on Right Hand Side of the equation

time(f) = 87.5/55

Performing division on Right Hand Side of the equation

time(f) = 1.59 hours

Hence, it will take 1.59 hours.

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The complete question is -

The speed (or rate) Josiah travels to work is inversely proportional to time it

takes to get there. If he travels 35 miles per hour it will take him 2.5 hours to get to work. How long will it take him if he travels 55 miles per hour?

Answer: May I see the graph?

Step-by-step explanation:

Among both teenage boys and adult men, delinquency, hard drug use, and aggressive-bullying responses to frustration have been linked with higher-than-average levels of Testosterone.

The sex hormone testosterone has significant physiological functions. It is thought to control the creation of sperm, red blood cells, muscle mass, fat distribution, and sex drive (libido) in men.

Males and females may both have diminished bone mass and sex drive if a man has low testosterone, which can cause symptoms like erectile dysfunction.

Low sperm counts, testicular shrinkage, and impotence are issues connected to males having abnormally high testosterone levels. Cardiac attack risk is elevated when heart muscle is damaged. enlarged prostate and urination problems.

Therefore , Drug use and aggressive to frustration are licked with higher-than-average levels of Testosterone.

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[tex]1 + cot^{2}2t = csc^{2}2t[/tex]  can be manipulated from  [tex]sin^{2}2t +cos^{2}2t =1[/tex]

What is Pythagorean Identity?

An identity, in mathematics, is an equation that is true for all possible values.(It is always true regardless of the values that are substituted into the equation.)

A trigonometric identity is an equation that involves trigonometric functions and is true for every single value substituted for the variable (assuming both sides are "defined" for that value) You will find that trigonometric identities are especially useful for simplifying trigonometric expressions.

The most common trigonometric identities are those involving the Pythagorean Theorem.

When studying the unit circle (radius of 1), it was observed that a point on the unit circle (a vertex of the right triangle) can be represented by the coordinates (cos 2t, sin 2t ).

Since the legs of the right triangle in the unit circle have the values of sin 2t and cos 2t, the Pythagorean Theorem can be used to obtain [tex]sin^{2}2t +cos^{2}2t =1[/tex]

Given Equation :   [tex]sin^{2}2t +cos^{2}2t =1[/tex]

To proof :  [tex]1 + cot^{2}2t = csc^{2}2t[/tex]

[tex]1 + cot^{2} \alpha = csc^{2} \alpha [let \alpha =2t] \\\\1 + cot^{2} \alpha = 1 + \frac{cos^{2}\alpha }{sin^{2} \alpha } \\\\1 + cot^{2} \alpha = \frac{sin^{2}\alpha }{sin^{2} \alpha } + \frac{cos^{2}\alpha }{sin^{2} \alpha }\\\\1 + cot^{2} \alpha = \frac{sin^{2}\alpha + cos^{2} \alpha }{sin^{2} \alpha }\\ \\1 + cot^{2} \alpha = \frac{1 }{sin^{2} \alpha } [ since ,sin^{2}\alpha + cos^{2}\alpha = 1]\\\\1 + cot^{2}\alpha = sec^{2} \alpha\\\\or\\1 + cot^{2}2t = sec^{2} 2t[/tex]

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In picking the smoothing constant for an exponential smoothing model, we should look for a value that produces values which compare well with actual values based on a standard measure of error.

What is exponential smoothing model?

Using the exponential window function, exponential smoothing is a general method for blending time series data. Exponential functions are used to assign exponentially decreasing weights over time, as opposed to the simple moving average, which weights previous observations equally.

The correct answer is, produces values which compare well with actual values based on a standard measure of error.

Quantitative forecasting utilizes a compilation of past performance data of the organization to arrive at an accurate forecast for any given process.

The smoothing constant selected requires to optimize accuracy the unknown parameters and the initial values need to be considered with the implementation of the sum of squared errors providing the required accuracy.

Hence, in picking the smoothing constant for an exponential smoothing model, we should look for a value that produces values which compare well with actual values based on a standard measure of error.

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Complete question:

Complete question is attached below.

Answer:

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

Slope-intercept form of a line:

The line has points:

The first point represents the y-intercept, b = 2.

The slope is:

The line is:

The probability that 200 or fewer homes were purchased as investment properties is 0.937. This is calculated using the binomial distribution formula, where n = 600, p = 0.31, and x = 200.

1. The binomial distribution formula for calculating the probability of an event occurring is:

P(x) = nCx * p^x * q^(n-x)

where n is the number of trials, x is the number of successes, p is the probability of success, and q is the probability of failure (1 - p).

2. In this problem, n = 600, p = 0.31, x = 200, and q = 1 - 0.31 = 0.69.

3. Plugging these values into the formula, we get:

P(x) = 600C200 * 0.31^200 * 0.69^400

4. Solving this equation, we get P(x) = 0.937.

5. Therefore, the probability that 200 or fewer homes were purchased as investment properties is 0.937.

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The Median age for the Chess Club members is 14 and  the Median age for the Chess Club members is 12.

Option A. The Median age for the Chess Club members is less than the Median age for the Checkers Club members is the correct option of the given figure.

The value that, when a dataset is arranged, lies exactly in the middle is the median. The difference between the lowest 50% and highest 50% of data is a measure of central tendency. Depending on whether you have an odd or an even number of data points, there are several procedures to find the median.

Identifying the median The data points should be arranged from smallest to largest. The median is the middle data point in the list if the number of data points is odd. The median is the average of the two middle data points in the list if the number of data points is even.

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Answer: 20

Step-by-step explanation: If you look at how 4 got to 8 you multiplied it by two, so therefore, you multiply 10 by 2 also to get twenty.

Answer:

Step-by-step explanation

if in triangle 1 it’s four and its 8 in the 2nd one

multiply each number on the first triangle

f-e 20

The vertices of a regular decagon can only ever give rise to a maximum of zero scalene triangles at any one time.

Generally, An isosceles triangle has two sides with the same length. There are 10 ways to choose the vertex that is common to the two equal sides, and for each of these choices, there are 5 ways to choose the other two vertices (since they must be distinct from the first). Therefore, there are a total of

10* 5*5=250 isosceles triangles.

To get the final count of scalene triangles, we use the principle of inclusion-exclusion by subtracting the number of isosceles triangles from the total number of triangles.

This gives us a final count of 120-250=-130.

However, since we cannot have a negative number of triangles, the final answer is 0.

Therefore, there are 0 scalene triangles that can be formed from the vertices of a regular decagon.

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The complete Question was not found

We can determine whether the rocket is ascending or descending by evaluating the derivative at that time. If the derivative is positive, the rocket is ascending. If the derivative is negative, the rocket is descending.

What is a derivative of a function?

The derivative of a function can be interpreted as the slope of the graph of the function or, more precisely, as the slope of the tangent line at a point. Its calculation, in fact, derives from the slope formula for a straight line, except that a limiting process must be used for curves.

To determine whether the rocket is ascending or descending at a given time, we need to find the derivative of the function h(t) and determine whether it is positive or negative.

The derivative of h(t) is given by h'(t) = -t²+42t+43. This is the rate of change of the height of the rocket at any given time. If the derivative is positive, the rocket is ascending. If the derivative is negative, the rocket is descending.

At t = 1 second, h'(t) = -1 + 42 + 43 = 44. Since the derivative is positive at t = 1, we know that the rocket is ascending at this time.

Hence, we can determine whether the rocket is ascending or descending by evaluating the derivative at that time. If the derivative is positive, the rocket is ascending. If the derivative is negative, the rocket is descending.

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Answer:

706.5 inches^2.

Step-by-step explanation:

The area of a circle is given by the formula A = πr^2, where A is the area of the circle, r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14.

To find the area of a Mercedes wheel with a radius of 15 inches, we can substitute these values into the formula:

A = πr^2 = π(15 inches)^2 = 706.5 inches^2

Rounding to the nearest tenth, the area of the Mercedes wheel is approximately 706.5 inches^2.

Answer:

100 pounds

Step-by-Step Explanation:

20+100=120

cat weighs 20

dog weighs 100

dog weighs 80 pounds more than the cat (20) = 100

It is possible to think of the set of hexadecimal digits, which includes one through four digits, as being divided into disjoint subsets: s, Sa, and so forth, strings in S,, strings in fourth, where each S, is made up of the strings with k hexadecimal digits. There are v rules, there are S2 total strings, and so on.

Hexadecimal number system is one of many sorts of ways for representing numbers that has a base-16 value. Hexadecimal numerals therefore contain 16 symbols or digital values, namely 0 through 1, 2, 3, 4, 5, 6, 7, 8, 9, A–F. Single bit representations of 10, 11, 12, 13, 14, and 15 are A, B, C, D, E, and F, respectively.

It can occasionally be spoken as "hex." There are only 16   used to represent hexadecimal integers. A, B, C, D, E, and F are the following values or symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

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a) the probability of 4 success  = 0.00629

b)the probability of at least 1 success = 1.5726

In Probability, the set of outcomes of an experiment is called events. There are different types of events such as independent events, dependent events, mutually exclusive events, and so on.

If the probability of occurrence of an event A is not affected by the occurrence of another event B, then A and B are said to be independent events.

given that

the probability of success on each of 6 independent trials of an experiment is 0.2.

a) the probability of 4 success

P(x=4) = 6[tex]C_{4}[/tex][tex](0.2)^{4}[/tex][tex](0.8)^{6}[/tex]

          = 15×0.0016×0.2621

          = 0.00629

b)the probability of at least 1 success

p(x≥1) = 1 - p(x<1)

         = 1 - 6[tex]C_{0}[/tex][tex](0.6)^{0}[/tex][tex](0.8)^{6}[/tex]

        = 1.5726

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The ΔABC and ΔDEF are congruent by SSS congruent criteria

According to the question,

We have to prove ΔABC and ΔDEF are congruent

Coordinates of ΔABC are given as :

A(-2 , -2) , B(4 , -2) and C(4,6)

By using Distance formula ,

AB = √(-2-(-2))²+ (4 - (-2))²

=> √(-2 + 2)² + (4 +2)²

=> √ 6²

=> 6

AC = √(6-(-2))²+ (4 - (-2))²

=> √(6 + 2)² + (4 +2)²

=> √ 56 + 36

=> √92

BC = √(6-(-2))²+ (4 - 4)²

=> √(6+ 2)²

=> √ 8²

=> 8

Coordinates for ΔDEF,

D(5 , 7) , E(5,1) and F(13 , 1)

By using Distance formula ,

DE = √(1 - 7)²+ (5 -5)²

=> √(-6)²

=> √36

=> 6

DF = √(1-7)²+ (13 - 5)²

=> √(-6)² + (8)²

=> √ 56 + 36

=> √92

EF= √(1 - 1)²+ (13 - 5)²

=> √ 8²

=> 8

Now, two triangles are congruent if they are equal sides or equal angles

Therefore , In ΔABC and ΔDEF

AB = DE

AC = DF

BC =EF

By the SSS criteria , ΔABC and ΔDEF are congruent

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Answer:

3.35

Step-by-step explanation:

38.86=11.6x

x=3.35

The probability of having a boy when a couple has six ​children is 63 / 64.

The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.

Given:

A couple has six ​children, n = 6

The wanted event, p = 1 / 2

Calculate the probability of having a boy given by the following formula,

[tex]P(X) = nC_x px (1-p)n-x[/tex]

Here, [tex]X[/tex] = number of boys,

So,

P(X >= x) = 1 - P(X = 0)

P (X) = 1 - 6C₀ × (1 / 2) 0 × (1/2) 6

P (X) = 63 / 64

Therefore, the probability of having a boy when a couple has six ​children is 63 / 64.

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