Find the sum 5/10 plus 3/100

Answer:

6 represents the number of people among which the balls and jacks will be split.

4 represents the number of balls.

10 represents the number of jacks.

Step-by-step explanation:

This is the PLATO answer, hope it helps :)

Answer:

6

Step-by-step explanation:

Answer:

2.4 kilograms

Step-by-step explanation:

Given: 5 people are evenly sharing 12 kilograms of apples

To find: quantity of apples that each person should get

Solution:

Use the unitary method to get the required answer.

Under unitary method, if the value of multiple items is given to us, divide the total value by the number of items to obtain the value of one item.

Quantity of apples for 5 people = 12 kilograms

Quantity of apples for 1 person = \(\frac{12}{5} =2.4\) kilograms

So, each person should get 2.4 kilograms of apples.

Answer:

12/5 or 2 2/5

Step-by-step explanation:

We need to divide the 12 kilograms of apples by the 5 people sharing them, or 125

12  ÷ 5 = 12/5

12/5 = 5/5 + 5/5 + 2/5

       = 1 + 1 + 2/5

       = 2 2/5

Each person should get 12/5, or 2 2/5, kilograms of apple

The estimated volume of the coffee cup is approximately 141.31 cm³

The volume of a right cylinder can be calculated using the formula:

                             V = πr²h

Where V is the volume, r is the radius, and h is the height.

In this problem, the formula is used to find the volume of a coffee cup, which has been modeled as a right cylinder.

The height and radius of the coffee cup are given, so we can substitute these values into the formula to find the volume.

Here we have

Aaden decides to estimate the volume of a coffee cup by modeling it as a right cylinder.

He measures its height as 8.5 cm and its radius as 2.3 cm.

Here the estimated volume of coffee = volume of the cup

As we know Volume of the cylinder V = πr²h

From the data, Radius r = 2.3 and height h = 8.5  

Volume of coffee cup = π(2.3)²(8.5)

V = 141.31 cm³

Therefore,

The estimated volume of the coffee cup is approximately 141.31 cm³

Learn more about Volume of cylinder at

https://brainly.com/question/29813229

#SPJ1

Answer:

Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet

Step-by-step explanation:

The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)

According to the given graph the correct option that justify it to follow horizontal asymptote concept is option A, C and D.

Define graph property:

In mathematics, a graph is a set of points, called vertices or nodes, that are connected by lines or curves, called edges or arcs. Graphs are used to represent mathematical relationships between objects, data, or concepts. They are a fundamental tool in many fields, including computer science, economics, engineering, social sciences, and more.

Graphs can be represented in a variety of ways, such as a drawing on a piece of paper or a computer screen, or as a mathematical abstraction. Graphs can be directed or undirected, weighted or unweighted, simple or multigraphs, and can have various structures, such as trees, cycles, or complete graphs. They are often used to model networks, such as transportation systems, social networks, or the internet.

What about asymptote?

In mathematics, an asymptote is a straight or curved line that a curve approaches but never touches. In other words, as the curve moves along the x and/or y axis, it gets closer and closer to the asymptote, but never intersects it. Asymptotes are often found in functions that have horizontal or vertical limits that approach infinity or negative infinity.

There are several types of asymptotes, including horizontal, vertical, and slant asymptotes. A horizontal asymptote is a line that the curve approaches as x tends to infinity or negative infinity. A vertical asymptote is a vertical line that the curve approaches as x approaches a certain value, but does not cross. A slant asymptote is a diagonal line that the curve approaches as x tends to infinity or negative infinity, and the degree of the polynomial in the numerator is one more than the degree of the polynomial in the denominator.

According to the given information:

According to the graph f(x) and g(x) both have a horizontal asymptote so, both graphs are exponential functions and they do not through(0,1)

so, both graphs have been shifted and flipped

Hence, option A, B and D are correct.

To know more about graph visit:

https://brainly.com/question/17267403

#SPJ1

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

More can be learned about the Empirical Rule at https://brainly.com/question/10093236

#SPJ1

Answer:

True

Step-by-step explanation:

Coefficient of realism called alpha which is a decimal number between 0 and 1. This number provides the optimistic view. The number 1 - \(\alpha\) is amount of emphasis that is placed in pessimistic outcome. If the coefficient of realism alpha is 1 then criterion of realism will yield same result as maxi max criterion.

A statement that describes the result of running the code segment is: the number 10 is displayed

The correct answer is an option (B)

In this question, we have been given the program code.

We need to select a correct statement that describes the result of running the code segment.

Consider the given code.

Start by setting n and sum to 0.

Add the value of n to sum. The first time, the value of n is 0, so sum remains 0.

Increment n by 1, so now the value of n is 1.

The Boolean condition (n = 5) is still false, so the loop will run again. Add 1 to sum (which is now 1), and then increment n (so n is now 2).

Repeat this three more times (while the value of n = 2, 3, and 4)

Increment n, so the value of n is now 5. Now the Boolean condition is true, so the loop stops.

Display sum is 10

Therefore, the result of running the code segment : the number 10 is displayed

Learn more about the number here:

https://brainly.com/question/28210925

#SPJ4

The complete question is:

Consider the following program code.

Which of the following best describes the result of running the program code?

A. The number 0 is displayed.

B. The number 10 is displayed.

C. The number 15 is displayed.

D. Nothing is displayed; the program results in an infinite loop

Step-by-step explanation:

16 - 10 × 1/5 + 13

16 - 5 + 13

11 + 13

24

Step-by-step explanation:

10/5=2

16-2+13=27.

d. 27

All the functions which are bounded below and bounded above are,

⇒ Absolute value function.

⇒ sine function function

⇒ cosine function

We have to given that;

To check all the functions which are bounded below and bounded above.

Here, All the functions are,

⇒ Absolute value function.

⇒ sine function function

⇒ cosine function

⇒ Square root function

⇒ natural logarithmic function

Since, The Absolute value function is defined as;

⇒ | f (x) |

And,

⇒ | f (x) | ≤ M ; for M > 0

⇒ - M ≤ f (x) ≤ M

Hence, It is a bounded function.

Since, Sine and cosine function are defined in between 1 and - 1.

Hence, Both are bounded below by - 1 and bounded above by 1.

So, Both function are bounded.

Since, Square root function is defined as,

⇒ √ f (x) ≥ 0

Hence, It is only bounded below.

Since, When the base of the logarithm is greater than 1, log(x) approaches negative infinity as x approaches 0.

Hence, It is not bounded.

Thus, All the functions which are bounded below and bounded above are,

⇒ Absolute value function.

⇒ sine function function

⇒ cosine function

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

Answer:

Step-by-step explanation:

In this problem, we are expected to tell what number is at the unit position of the square of 572.

firstly, what is the square of 572.

this is gotten as = 572^2

                          =572*572

                          =327184

from the result, the value at the unit position is 4

The unit digit of the square of 572 is 4

Answer:

0

Step-by-step explanation:

identity:

cos(180-x) = -cos(x)

cos(0)= -cos(180)

cos(0) + cos(180) = 0

cos(1)= -cos(179)

cos(1)+cos(179) = 0

...

all sum to zero

The measure of angle DCE in this problem is given as follows:

m < DCE = 22.5º.

The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.

The three trigonometric ratios are given as follows:

The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:

cos(38º) = DB/12.2

DB = 12.2 x cosine of 38 degrees

DB = 9.6 cm.

BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:

DE = 1/4 x 9.6

DE = 2.4 cm.

Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:

tan(x) = 2.4/5.8

x = arctan(2.4/5.8)

x = 22.5º

m < DCE = 22.5º.

More can be learned about trigonometric ratios at brainly.com/question/24349828

#SPJ1

Answer:

x = 22.5°

Step-by-step explanation:

The four rectangles can be painted with 7 different paints in 840 ways.

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}, there are no other ways to arrange the elements of set A.

The formula for permutattion is;

\(P_r_n = \frac{n!}{(n-r)!} \\\)

where r = 4

n = 7

Substituting the values for n and r

\(P = \frac{7!}{(7-4)!}\)

\(P = \frac{7!}{3!}\)

P = 840 ways.

Learn more about permutations here: https://brainly.com/question/1216161

#SPJ1

Answer:

Step-by-step explanation:

Given function:

Equivalent expression is:

Correct choice is D

Answer:

x = 24

Step-by-step explanation:

False, In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.

What is exponential decay function?

In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time.

                     It can be written as y=a(1-b)x, where y represents the final amount, a represents the initial amount, b represents the decay factor, and x is the amount of time that has passed.

How do you calculate an exponential function?

The equation f(x) = ax, in which the input variable x appears as an exponent, describes an exponential function. Both the exponential function and the value of x are dependent on the exponential curve.

                               The exponential function, which has the form, is a significant mathematical function. f(x) = ax.

Learn more about  exponential decay function

brainly.com/question/14355665

#SPJ1

Answer:

To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due (the amount you would have to deposit today)

- PMT is the monthly payment ($75)

- r is the annual interest rate (3.5%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**

Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.

Answer:

Answer B is correct

Step-by-step explanation:

Hey there,

\(cos \; L \;\;= \frac{adjecent}{hypotenuse}\)

\(cos\; L = \frac{8}{10}\)

The answer is,

\(\frac{8}{10}\)

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

The balance of the account is $64,190.

Step-by-step explanation:

The amount of money after t years of continous compounding is given by the following equation:

\(P(t) = P(0)e^{rt}\)

In which P(0) is the initial deposit and r is the interest rate, as a decimal.

$60,000 deposited for 6 years at 1.125% interest compounded continuously.

This means that \(P = 60000, r = 0.01125, t = 6\)

So

\(P(6) = 60000e^{0.01125*6} = 64190\)

The balance of the account is $64,190.

Answer:

Part A)

\(\displaystyle \frac{dy}{dx}=-\frac{3}{7}P^\frac{10}{7}x^{-\frac{10}{7}}\)

Part B)

The daily operating cost decreases by about $143 per extra worker.

Step-by-step explanation:

We are given the equation:

\(\displaystyle P=x^{\frac{3}{10}}y^{\frac{7}{10}}\)

Where P is the number of eggs laid, x is the number of workers, and y is the daily operating budget (assuming in US dollars $).

A)

We want to find dy/dx.

So, let’s find our equation in terms of x. We can raise both sides to 10/7. Hence:

\(\displaystyle P^\frac{10}{7}=\Big(x^\frac{3}{10}y^\frac{7}{10}\Big)^\frac{10}{7}\)

Simplify:

\(\displaystyle P^\frac{10}{7}=x^\frac{3}{7}y\)

Divide both sides by the x term to acquire:

\(\displaystyle y=P^\frac{10}{7}x^{-\frac{3}{7}}\)

Take the derivative of both sides with respect to x:

\(\displaystyle \frac{dy}{dx}=\frac{d}{dx}\Big[P^\frac{10}{7}x^{-\frac{3}{7}}\Big]\)

Apply power rule. Note that P is simply a constant. Hence:

\(\displaystyle \frac{dy}{dx}=P^\frac{10}{7}(-\frac{3}{7})(x^{-\frac{10}{7}})\)

Simplify. Hence, our derivative is:

\(\displaystyle \frac{dy}{dx}=-\frac{3}{7}P^\frac{10}{7}x^{-\frac{10}{7}}\)

Part B)

We want to evaluate the derivative when x is 30 and when y is $10,000.

First, we will need to find P. Our original equations tells us that:

\(P=x^{0.3}y^{0.7}\)

Hence, at x = 30 and at y = 10,000, P is:

\(P=(30)^{0.3}(10000)^{0.7}\)

Therefore, for our derivative, we will have:

\(\displaystyle \frac{dy}{dx}=-\frac{3}{7}\Big(30^{0.3}(10000^{0.7})\Big)^\frac{10}{7}\Big(30^{-\frac{10}{7}}\Big)\)

Use a calculator. So:

\(\displaystyle \frac{dy}{dx}=-\frac{1000}{7}=-142.857142...\approx-143\)

Our derivative is given by dy/dx. So, it represents the change in the daily operating cost over the change in the number of workers.

So, when there are 30 workers with a daily operating cost of $10,000 producing a total of about 1750 eggs, the daily operating cost decreases by about $143 per extra worker.

Answer:

\(\displaystyle (f - g)(x) = -x^2 + 2x + 8\)

Step-by-step explanation:

We are given the two functions:

\(\displaystyle f(x) = 2x + 1 \text{ and } g(x) = x^2 - 7\)

And we want to find:

\(\displaystyle (f- g)(x)\)

Recall that:

\(\displaystyle (f - g)(x) = f(x) - g(x)\)

Substitute and simplify:

\(\displaystyle \begin{aligned}(f-g)(x) &= f(x) - g(x) \\ \\ &= (2x + 1) - (x^2 - 7) \\ \\ &= (2x +1 )+ (-x^2 + 7) \\ \\ &= -x^2 +2x + 8\end{aligned}\)

In conclusion:

\(\displaystyle (f - g)(x) = -x^2 + 2x + 8\)

Answer:

\(→(f - g)(x) \\ = f(x) - g(x) \\ = (2x + 1) - ( {x}^{2} - 7) \\ = 2x + 1 - {x}^{2} + 7 \\ = \boxed{ - {x}^{2} + 2x + 8}✓\)

The relationship in the figure is a function because each input has only one output to which they are linked

A function is a definition or rule that maps each element in a set of input values to exactly one element in a set output values.

The data in the sets can be presented as follows;

x  \({}\)               f(x)

-1 \({}\)      →         2

0\({}\)        →        2

1\({}\)         →        -3

2\({}\)         →       -2

8\({}\)         →        3

The above table indicates that each x-value has only one f(x) value, which indicates that the relationship s a function. The relationship is still a function with the presence of an f(x) value, 2, having two x values, -1 and 0, as the condition satisfies the definition of a function.

Learn more on functions here: https://brainly.com/question/29869165

#SPJ1

ANSWER

Option D

EXPLANATION

We want to find the equation that could be a possible function of x of the given graph.

To solve this, we have to apply the knowledge of the roots of an equation/function.

We know that for an equation:

The roots of the equation are a and b.

For a graph, the roots of the graph (for a quadratic graph) are the x values of the two points where the graph touches the x axis.

From the given graphs, we see that the two roots of the graph lie on the positive x axis. This means that the roots of the function must be positive.

Therefore, from the function above, a and b must be positive values.

The only options that provide us with this possibility is option D where a and b are 3 and 7 respectively.

Therefore, the correct answer is Option D.

Answer:

28

-4 × 4 = 16

3 × 4= 12

12 + 16 =28

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

A' - (-1,4)

B' - (-1,8)

C' - (-5,4)

hope this helps