Select the correct answer. A body travels 10 meters during the first 5 seconds of its travel, and it travels a total of 30 meters over the first 10 seconds of its travel. What is its average speed during the time from t

Answers

Answer 1

The speed of travel will be 4 m/s.

How do you find the distance traveled in the Nth second?

The formula for distance travelled in nth second is given by, Sn = u + a (n – ½).

The body's total distance travelled is equal to the sum of the 10 m it covered in the first five seconds and the 30 m it covered in the following five seconds. The total distance covered is 40 metres. This can be divided by the duration to determine the average speed. Therefore, the average speed is 4 m/s.

Total distance=10+30=40

speed=distance/time=40/10=4m/s

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Related Questions

A researcher is following the growth of a particular type of flower. She writes the given equation to show the height of the flower g(n), in inches, after n days. When the researcher finished his study, the height of the flower was about 11.04 inches. What is a reasonable domain to plot the growth function

Answers

After solving, the possible domain in interval notation is (0, 7).

In the given question, a researcher is following the growth of a particular type of flower.

The equation to show the height of the plant f(n), in cm, after days (n) = 8(1.05)^n

According to the given information,

The height of the plant is modeled by the function= f(n)

The height of the plant is approximately 11.04cm when the number of days = 7

The days are started from n > 0 and n<=7

Hence the possible domain in interval notation = (0, 7)

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The complete question is:

A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after days (n) = 8(1.05)^n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.26 cm What is a reasonable domain toplot the growth function?

Part B: What does the y-intercept of the graph of the function () represent?

Part C: What is the average rate of change of the function f(n) from n = 2 ton, and what does it represent?

A computer is programmed to generate a sequence of three digits, where each digit is either 0 or 1, and each of these is equally likely to occur. Construct a sample space that shows all possible three-digit sequences of 0s and 1s and then find the probability that a sequence will contain exactly one 0. a. 000, 001, 010, 011, 100, 101, 110, 111; the probability is . b. 001, 011, 101, 111; the probability is . c. 000, 010, 011, 101, 111; the probability is . d. 000, 001, 010, 011, 100, 101, 110, 111; the probability is .

Answers

The probability that a sequence will contain exactly one 0 as calculated from the data given is found to be 3/8.

Taking into consideration the sequences where the digit 0 occurs , we will get the possibilities of getting 0 and 1 as 2 .

The number of sample points in the  sample space will be ,

2 x 2 x 2 = 8 sample points.

These sample space are, S = {111, 110, 101, 011, 100, 010, 001, 000},

Now , the sequence having all three 0 as seen from the sample space is found to be 3.

So the  probability becomes , P(0) = no of favorable outcomes / total number of outcomes =3/8.

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Answer the questions about the following polynomial.
8x³+6x-1
The expression represents a
term is
the leading term is
polynomial with
terms. The constant
, and the leading coefficient is

Answers

The expression represents a polynomial with three terms.

What is polynomial?

A polynomial is an expression consisting of variables (often denoted by x, y, z, etc.) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Polynomials can be used to express a wide range of algebraic equations, from simple linear equations to more complex equations. Polynomials can also be used to construct functions with properties that are useful for solving real-world problems.

The expression represents a polynomial with three terms.

The constant term is -1, and the leading coefficient is 8. The leading term is 8x³.

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Type the correct answer in each box.

Table A: Inventory Stock


Product Store A Store B Store C

X 543 356 643

Y 364 476 419

Z 376 903 409


Table B: July Unit Sales


Product Store A Store B Store C

X 102 78 97

Y 98 87 59

Z 54 89 79


Table A shows the total inventory of three products for three Sports Equipment Corporation stores on July 1. Table B shows unit sales data for the month of July.


If you create a matrix, C, to show the inventory at the end of July, the value of the entry represented by c22 is
.

In a matrix with components aij, which represent unit sales for July, the maximum possible value that a31 can have is

Answers

The matrix C shows the inventory of the three products for the three Sports Equipment Corporation stores at the end of July. The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B.

Table C: Ending Inventory

Product Store A Store B Store C

X 441 278 546

Y 266 389 360

Z 322 814 330

The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B.

The maximum possible value that a31 can have is 903, which is the value for Store C for Z in Table A.

The value of the entry represented by c22 in the matrix C that shows the inventory at the end of July is 389, and the maximum possible value that a31 can have is 903.

The matrix C shows the inventory of the three products for the three Sports Equipment Corporation stores at the end of July. The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B. The maximum possible value that a31 can have is 903, which is the value for Store C for Z in Table A. This value indicates that the maximum number of units of Product Z that can be stored in Store C is 903. In summary, the value of c22 in the matrix C is 389, and the maximum value of a31 is 903.

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Given that $k$ is a positive integer less than 6, how many values can $k$ take on such that $3x \equiv k \pmod{6}$ has no solutions in $x$

Answers

Supposing the value of x to be an integer, the values of k that donot

satisfy the given equation 3x = k mod 6 are 1,2,4,5.

What is an integer?

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.

What is the difference between integers and whole numbers?

Integers are a set of numbers that include both positive and negative numbers, as well as zero. Whole numbers, on the other hand, only include the set of non-negative numbers starting from 0 (i.e., 0, 1, 2, 3, 4, ...). In other words, whole numbers are a subset of integers.

If 3x = k mod 6 has no solutions in x, then k must not be divisible by 3. The positive integers less than 6 that are not divisible by 3 are 1, 2, 4, and 5. Therefore, k can take on 4 values: 1, 2, 4, and 5.

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Based on these data, how many students received a score higher than 95?

A. At least 15

B. More than 25

C. 6 or fewer

D. Exactly 10

Answers

Bar charts display categorical variables, whereas histograms display numerical or quantitative data.

What is mean by histogram?

The frequency distribution of a few data points for one variable is represented graphically by a histogram. Heterogeneous "bins" or "range groups" are frequently used in histograms in order to categorize data and count the number of data points that are part of each bin.

Among graphing tools, the histogram is widely used. It is utilized to encapsulate discrete or continuous data that is measured on an interval scale. It is frequently employed as a convenient way to highlight the key characteristics of the data distribution.

Histograms show numerical or quantitative data, whereas bar charts show categorical factors. The numerical data in a histogram will typically be continuous in most cases (having infinite values). It would be ridiculous to attempt to plot an axis that included every potential value for a continuous variable.

Therefore, the correct answer is option C. 6 or fewer.

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What is a function of the form f/x LOGB X?

Answers

The function form of the given function would be  [tex]f(x)=log_b(x)[/tex].

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The given function is f(x) = logbx.

So the function form would be the function of x is equal to the logarithmic of x having base b.

so this can be written as

       [tex]f(x)=log_b(x)[/tex]

Hence, the function form of the given function would be  [tex]f(x)=log_b(x)[/tex].

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The function form of the given function would be  [tex]f(x)=log_b(x)[/tex].

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The given function is f(x) = logbx.

So the function form would be the function of x is equal to the logarithmic of x having base b.

so this can be written as

[tex]f(x)=log_b(x)[/tex]

Hence, the function form of the given function would be  [tex]f(x)=log_b(x)[/tex].

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35% of ____ = $3.50 find the unknown number​

Answers

Answer:

10

Step-by-step explanation:

35% of x = 3.5  To change a percent to a decimal, divide by 100%

.35x = 3.5  Divide both sides by 3.5

[tex]\frac{.35x}{.35}[/tex] = [tex]\frac{3.5}{.35}[/tex]

x = 10

Check:

.35 x 10 = 3.3.5 = 3.5

Answer:

10

Step-by-step explanation:

Let the unknown number be x.

35% of x = 3.50

35/100 * x = 3.50

35x = 3.50 * 100

35x = 350

x = 350/35

x = 10

Hence, the unknown number is 10.

What type of graph is an inverse relationship?

Answers

On a graph, an inverse relationship always has a negative slope.

What is an inverse relationship?

In statistics, if higher values of one variable tend to be related to lower values of the other, there is a negative association or inverse relationship between the two variables.

A negative link between two variables typically denotes a negative correlation, or what is similar in some cases, a negative slope on the associated graph.

Anticorrelation or inverse correlation are other terms for a negative correlation between two variables.

When two variables change in an inverse relationship, they do so in opposite directions: one increases while the other drops, and vice versa.

Y declines as X rises in an inverse relationship.

An inverse relationship always has a negative slope on a graph.

Therefore, on a graph, an inverse relationship always has a negative slope.

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Which fraction is equivalent to -3/2

A) 3/-2

b) -(3/-2)

C) -3/-2

D) -(-3/2


HELP ASAP PLS

Answers

Answer: A

Step-by-step explanation: The other answer choices have 2 negatives which cancel and make a positive number.

Jeris Shoppe marks up every item 75% over the wholesome price. If a sweater costs $16.00 from the wholesaler, how much will the sweater retail for at Jeris?

Answers

Answer:

$28

Step-by-step explanation:

175%*16.00 = 175/100 * 16.00

Put it int he calculator to get 28 dollars

What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?
A)Y = -3 x+ 56
B)Y = -2 x +46
C)Y = -2 x +56
D)Y = 2 x + 56

Answers

The equation for the linear model in the scatter plot is Y = -2x + 56.

To calculate this equation, we need to find the slope (m) and the y-intercept (b). The slope is calculated with the formula m = (y2 - y1) / (x2 - x1), where x and y represent the coordinates of two points on the graph.

The two points closest to the line in the scatter plot are (2, 48) and (4, 52). Substituting these values into the formula gives us m = (52 - 48) / (4 - 2) = 4/2 = 2.

The y-intercept is the point where the line crosses the y-axis. To find it, we need to substitute the slope and one point's coordinates into the equation y = mx + b. For our equation, we will use the coordinates (2, 48). Substituting these values into the equation gives us 48 = 2x + b, and solving for b gives us b = 48 - 2(2) = 44.

Therefore, the equation for the linear model in the scatter plot is Y = -2x + 56.

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I WILL GIVE THANKS AND MARK BRAINLIEST

THIS ANSWER IS INCORRECT, WHAT IS THE CORRECT ANSWER?

Answers

On solving the provided question, we can say that - the percentage of the data is 5% = 5/100 = 0.05

What is percentage?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.

According to the authors, "the bases will be virtually totally present in their most probable forms. If this is the case, then only adenine and thymine and guanine and cytosine are viable base pairs, and the requirements for creating hydrogen bonds are more stringent (lines 31-35).

Options C and D are erroneous because the table does not support the authors' postulated pairing of nitrogenous bases in DNA molecules.

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When merida divides her age by 3 and adds 5, the result is 9 which equation represents this situation where m is meridas age?

a/ 9= (m ~ 3) x 5
b/ m= (9 - 3 ) + 5
c/ m = (9~3) +5
d/ 9= (m~ 3) +5

Answers

When Merida divides her age by 3 and adds 5, the result is 9, now the equation becomes: 9 = (m + 3) ÷ 5.

What is an equation?

The link between two expressions on each side of the sign is represented by a mathematical equation. One variable and an equal sign are often present.

The definition an equation in algebra is a mathematical expression that indicates the equivalence of two mathematical terms. In equation 6x + 11 = 14, for instance, the two expressions 6x + 11 and 14 are separated by the symbol "equal."

When Merida divides her age by 3 and adds 5, the result is 9, now the equation becomes: 9 = (m + 3) ÷ 5, this represents the situation where m is Merida's age.

correct option: D

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Which is the algebraic sequence of 1,4,7,10

Answers

The algebraic sequence of 1,4,7,10 is aₙ = 3n - 2

How to determine the explicit formula of the sequence?

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

1,4,7,10

In the above sequence, we can see that 3 is added to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

aₙ = aₙ₋₁ + 3

Also, we have

a = 1 i.e. the first term

d = 3 i.e he common difference

When represented explicitly, we have

aₙ = a + (n - 1) * d

So, we have

aₙ = 1 + (n - 1) * 3

Evaluate the products

aₙ = 3n - 2

Hence, the explicit formula is aₙ = 3n - 2

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Find a counterexample to show that the conjecture is false.

All numbers ending in 6 are divisible by 6.

Answers

Therefore ,In other words  the solution of the given problem of fraction is even though 21 can be divided by 3, it cannot be divided by 6. (for an integer anyway)

Describe fraction.

A fractional or ratio element is a portion of the whole. The numerator a denotes the number of parts that are included, and the denominator b denotes the number of pieces of equal size into which the whole has been divided. The least common multiple (LCD) of two fraction denominators is called the LCM of those denominators.

Here,

21/3 = 7    21/6 = 3.5

18/3 = 6   18/6 = 3

24/3 = 8   24/6 = 4

12/3 = 4     12/6 = 2

Each can be split to get an integer, with the exception of:

21/6 = 3.5

Therefore ,In other words, even though 21 can be divided by 3, it cannot be divided by 6. (for an integer anyway).

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In a triple batch of spice mix, there are 6 teaspoons of garlic powder and 15 teaspoons of salt. Answer the following questions about the mix. If you get stuck, create a double number line.

Answers

In a double number line diagram, equal ratios are represented by two parallel number lines. On both number lines, the tick marks are in the same places. Though the other numbers are frequently varied, the tick marks labeled with 0 always line up.

How to create a double number line?

According to question:-

How much more garlic powder than salt is in the triple batch?

Answer: 6 teaspoons of garlic powder - 15 teaspoons of salt = -9 teaspoons. So there is 9 teaspoons less garlic powder than salt in the triple batch.

How much spice mix is in the triple batch?

Answer: 6 teaspoons of garlic powder + 15 teaspoons of salt = 21 teaspoons of spice mix.

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What is complete angle Class 7?

Answers

The angle with the measure 360° is known as a complete angle. A complete angle is one full rotation measuring 360°.

When the final point coincides with the initial point, after one whole rotation, then the angle so created is known as the complete angle. A complete angle is also known as a full angle or a round angle.

The measure of a complete angle is equal to 2π radians = 360 degrees which is the central angle of a circle. Also, if we combine four right angles or two straight angles it makes a complete angle. A complete angle is identical to a zero angle but the difference is only the amount of rotation.

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How do you graph a parent graph?

Answers

This is how you construct a parent graph - it is the simplest form of the function, and has a basic shape.

The most basic form of a function is a parent function. Its essential shape is not changed in any manner. In mathematics, some graphs are frequently seen. Because of this, the graphs of quadratic functions, square roots, absolute values, cubics, and cube roots are among the original, widespread functions that are referred to as parent graphs.

For instance, you should still be able to identify the parabola that has undergone various transformations when you view a u-shaped graph that has been inverted and stretched vertically.

We can take a few examples to understand this concept further.

For a quadratic equation, the parent graph is [tex]f(x) = x^{2}[/tex], which is a parabola. For a cubic equation, the parent graph is [tex]f(x) = x^{3}[/tex].

Hence, this is how you construct a parent graph - it is the simplest form of the function, and has a basic shape.

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Find whether x^n+y^h is disable by x-y(y not equal o)or not

Answers

Yes, it is equal x-y disable

What is the length of the missing leg? If necessary, round to the nearest tenth.

Answers

The length of the other leg is 65 cm

How to find the length of the other leg

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

Leg 1 = a

Leg 2 = 72 cm

Hypotenuse = 97 cm

The length of the hypotenuse of the right triangle can then be calculated using

Hypotenuse² = Leg 1² + Leg 2²

Substitute the known values in the above equation, so, we have the following representation

97² = a² + 72²

So, we have

a² = 97² - 72²

Evaluate

a² = 4225

Take the square roots

a = 65

Hence, the other leg is 65 cm

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On a certain hot​ summer's day, 311 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $525 How many children and how many adults swam at the public pool that​ day?

Answers

The number of children that swam in the public pool that day is 194

and the number of adult that swam in the public pool that day is 117

Let x represent the number of children that swam in the public pool that day.

Let y represent the number of adult that swam in the public pool that day.

On a certain hot summer day, 311 people used the public swimming pool. This means that

x + y = 311

The daily prices are 1.50 for children and 2.00 for adults. The receipts for admission totaled to $525. This means that

$1.50x + $2.00y = $525 - - - - - - - -1

Substituting x = 311 - y into equation 1, it becomes

1.50(311 - y) + 2.00y = 525

466.5 - 1.50y + 2.00y = 525

0.5 y = 58.5

y = 117

Substituting y = 117 into x = 311 - y, it becomes

x = 311 - 117

x = 194

Hence , the number of children that swam in the public pool that day is 194 and the number of adult that swam in the public pool that day is 117.

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What is 2x10-2+6 please help

Answers

Answer:

24

Step-by-step explanation:

What is 2x10-2+6?

2 × 10 - 2 + 6 =                          (remember PEMDAS)

20 - 2 + 6 =

18 + 6 =

24

Answer:

24 should be your answer

A lottery game contains 24 balls numbered 1 through 24. What is the probability of choosing a ball numbered 25

Answers

Selecting ball number 25 has no chance of happening.

Explain about the probability?

Probability is only the likelihood that something will occur. When we don't know how something will turn out, we might discuss the likelihood of various outcomes or the potential of one. Statistics is the scientific study of events that conform to a probability distribution.

It is predicated on the likelihood that something will take place. The rationale for probability serves as the theoretical probability's essential tenet. A coin has a 12% chance of landing on its head, for instance, when it is flipped.

Probability is a statistic that is used to indicate the likelihood or potential for an event to occur. Both fractions from 0 to 1 and percentages from 0% to 100% can be used to indicate probabilities.

In 25th Ball it is 0

Because there is no 25th ball

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A kite is shaped like an isosceles triangle. To the nearest tenth what is the length of the spine?​

Answers

The length of the spine will be;

⇒ 48.2 cm

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

A kite is shaped like an isosceles triangle.

Now,

Since, A kite is shaped like an isosceles triangle.

Hence, Two sides of a triangle is equal to each other.

Let the length of the spine = x

So, We can formulate by the Pythagoras theorem,

⇒ Hypotenuse² = Base² + Perpendicular²

⇒ 62² = (78/2)² + x²

⇒ 3844 = 39² + x²

⇒ 3844 = 1521 + x²

⇒ 3844 - 1521 = x²

⇒ 2323 = x²

⇒ x = √2323

⇒ x = 48.2 cm

Thus, The length of the spine = 48.2 cm.

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A book is 6 inches wide and 9 inches tall.

A rectangle is shown. The length of the rectangle is labeled 6 inches. The width of the rectangle is labeled 9 inches.

A publisher wants to use a scale factor of 1.5 to enlarge a book. What will the area of the front of the book be after the book is enlarged? (5 points)

a
54 in2

b
81 in2

c
121.5 in2

d
78.75 in2

Answers

The area of the front of the book after it has been enlarged would be = 121.5 in². That is option C.

What is a rectangle?

A rectangle is defined as the type of quadrilateral which has two opposite sides that are equal and parallel and with four angles that are equal to 90°.

The length of the rectangular book= 6 inches

The width of the rectangular book = 9 inches

Using the scale factor of 1.5 the new length and width is thus:

length = 6 × 1.5 = 9 inches

9× 1.5 = 13.5

Therefore area of the book = l×W = 9 × 13.5 = 121.5 in².

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What is 72 1/4 in a decimal

Answers

Answer:

I think it's 0.18 in decimal

As a fraction, one thing we already know is that 72 is a whole number. Therefore, 72 will be on the left side of the decimal point. Then, we can divide 100 by 4 to find that 0.25 is the equivalent to 25%, which also is 1/4.

Hence, 72 1/4 as a decimal is 72.25.

Subtract -2a+7b=-5 from the other equation so the b-terms become opposites

Answers

When subtracted -2a+7b=-5 from the other equation so the b-terms become opposites, we get 2a -7b = 5 as the result.

What is equation?

In mathematics, an equation is an expression or a statement made up of two algebraic expressions with the same value that are separated by the equal sign. It is a mathematically quantified version of an otherwise expressed statement. Equations can take many different forms. Equations are used to compare two expressions.

To Subtract -2a+7b=-5 from the other equation so the b-terms become opposites, we need to make +7b to -7b

This is only possible when the other term has 14,

Lets solve

 2a + 7b = - 5

- 4a + 14b = -10

-2a -7b = 5

Thus, when subtracted -2a+7b=-5 from the other equation so the b-terms become opposites, we get 2a -7b = 5 as the result.

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How do you write coordinates for translation?

Answers

Coordinates (x ,y ) of the given geometrical figure after translation is written as ( x + h , y + k ) where h ∈ R  and k ∈ R.

As given in the question,

Let us consider the coordinates of any geometrical figure is represented by ( x, y ) in the coordinate plane.

Translation is the representation of transformation the change in the location of the given geometrical figure without change in the shape and size.

It can be translated in four ways :

Translation to the right is written as ( x + h , y )

Translation to the left is ( x - h, y)

Translation in the up is ( x, y + k )

Translation in the down is ( x , y - k ).

Therefore, the original coordinate ( x ,y )  after translation written as

( x + h , y + k ) where h ∈ R  and k ∈ R.

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Dawson says that the expression (2 4/10+ 8 4/5)-3 1/5 is equal to a whole num do you agree explain hurry

Answers

If Dawson says that the expression [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] is equal to a whole number , then we can say that Dawson is correct .

The Mixed fraction expression is given as : [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] ;

first , we need to convert the mixed fraction in to simpler fractions ,

On converting ,

we get ;

the expression as : [tex](\frac{24}{10}+\frac{44}{5})-\frac{16}{5}[/tex] ;

taking the LCM of 10 and 5 as 50 ,

we get ;

⇒ [tex](\frac{24}{10}+\frac{88}{10})-\frac{16}{5}[/tex]

⇒ [tex](\frac{112}{10})-\frac{16}{5}[/tex]

Simplifying further ,

we have ;

⇒ [tex](\frac{112}{10})-\frac{32}{10}[/tex] ,

⇒ [tex]\frac{80}{10}[/tex]

= 8 , which is a whole number .

Therefore , we can agree with Dawson's statement that the expression [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] equals to a whole number "8" .

The given question is incomplete , the complete question is

Dawson says that the expression ([tex]2\frac{4}{10}[/tex] + [tex]8\frac{4}{5}[/tex]) - [tex]3\frac{1}{5}[/tex] is equal to a whole number .  Do you agree ? Explain .

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