Which features describe the graph of:

Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

When multiplying percentage its important to place decimal point in the correct spot.

What is the percentage?

In mathematics, a percentage is a statistic or ratio that may be expressed as a fraction of 100. To find the percentage of a number, divide it by its total and multiply by 100. As a result, the percentage indicates a part in a hundred. The phrase % stands for one hundred percent. It is represented by the symbol "%".

Here are some instances of percentages:

10% is one-tenth of a fraction.

20% is one-fifth of a share.

25% is divided into quarters.

Now,

The placement of decimal is very important because multiplication of decimals by decimals in percentage creates very small values.

e.g. 0.01*0.2=0.002

which makes it prone to errors that is why its important to place decimal at a correct place.

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Answer:

4 Trust me

Step-by-step explanation:

Answer:

41. 48 years and 3 months.

Step-by-step explanation:

41.

let's use the compound interest formula. The formula for compound interest is:

\(\bold{A = P * (1 + r)^n}\)

Where:

A is the final amount

P is the principal (initial investment)

r is the interest rate per period

n is the number of periods

we have,

P= $5000

A=$15000

r=2.3%

Now substituting value

\(15000=5000(1+\frac{2.3}{100})^n\\15000=5000(1.023)^n\\\frac{15000}{5000}=(1.023)^n\\3=(1.023)^n\)

doing logarithms of both sides of the equation.

We can use the natural logarithm (ln) to solve for n. The equation becomes:

\(ln(3) = ln(1.023)^n\)

Using the logarithmic property\(lna^b = b * ln(a),\) we can rewrite the equation as:

ln(3) = n * ln(1.023)

n=\(\frac{ln \:3}{ln\:1.023}\)

n=48.313 years approximately 48 years and 3 months.

Answer:

41. 49 years

42. 34 years and 12 days

Step-by-step explanation:

As the account increases by a constant percentage each year, we can use the exponential growth formula to write a function to model the situation.

\(\boxed{\begin{minipage}{8 cm}\underline{Exponential Growth Formula}\\\\$ f(t)=a\left(1+r\right)^{t}$\\\\where:\\\\ \phantom{ww}$\bullet$ $f(t)$ is the account balance. \\ \phantom{ww}$\bullet$ $a$ is the principal amount.\\ \phantom{ww}$\bullet$ $r$ is the interest rate (in decimal form). \\ \phantom{ww}$\bullet$ $t $ is the time (in years). \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula, and solve for t:

\(\begin{aligned}f(t)&=a(1+r)^t\\\\\implies 15000&=5000(1+0.023)^t\\15000&=5000(1.023)^t\\3&=(1.023)^t\\\\\textsf{Take natural logs:} \quad \ln (3)&=\ln (1.023)^t\\\ln (3)&=t\ln (1.023)\\t&=\dfrac{\ln (3)}{\ln (1.023)}\\t&=48.3129760...\end{aligned}\)

The account balance will reach $15,000 during the 48th year. As the interest is applied annually, we need to round up to the nearest whole year. Therefore, the account balance will reach $15,000 after 49 years.

Note: At the end of 48 years, the account balance will be $14,893.63, and after 49 years it will be $15,236.18.

\(\hrulefill\)

As the baseball's value increases by a constant percentage each year, we can use the exponential growth formula to write a function to model the situation.

\(\boxed{\begin{minipage}{8 cm}\underline{Exponential Growth Formula}\\\\$ V(t)=a\left(1+r\right)^{t}$\\\\where:\\\\ \phantom{ww}$\bullet$ $V(t)$ is the value of the baseball card. \\ \phantom{ww}$\bullet$ $a$ is the initial value of the card in 1980.\\ \phantom{ww}$\bullet$ $r$ is the interest rate (in decimal form). \\ \phantom{ww}$\bullet$ $t $ is the time (in years). \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula, and solve for t:

\(\begin{aligned}V(t)&=a(1+r)^t\\\\\implies 2000&=200(1+0.07)^t\\2000&=200(1.07)^t\\10&=(1.07)^t\\\\\textsf{Take natural logs:} \quad \ln (10)&=\ln (1.07)^t\\\ln (10)&=t\ln (1.07)\\t&=\dfrac{\ln (10)}{\ln (1.07)}\\t&=34.0323838...\end{aligned}\)

The value of the baseball card will reach $2,000 during the 34th year - after 34 years and 12 days. As this is not an investment account where interest is applied annually, we don't need to round up. Therefore, the baseball card will be worth $2,000 after 34 years and 12 days.

Parallelogram have two pairs of opposite sides that are parallel and congruent.

In a parallelogram, two pairs of opposite sides are parallel and congruent. A parallelogram is a quadrilateral with opposite sides that are parallel and congruent. Therefore, any pair of opposite sides in a parallelogram satisfies the criteria of being both parallel and congruent.

For example, let's consider a parallelogram ABCD:

These two pairs of opposite sides, AB and CD, and AD and BC, are parallel (they never intersect) and congruent (they have the same length).

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Answer:

Following are the response to the given choice.

Step-by-step explanation:

Please find the complete question in the attached file.

Subjective opinion = Question of opinion.

Therefore this requires only just opinion and we don't have to do any actual calculations.

Does this seem like a great number of girls, a little number of girls, or a decent number of girls to you but if 1,300 babies were born, 5 of whom were females?

This is a small number of beautiful gals, in my honest opinion. We anticipate boys and girls to be produced about the very same frequency, thus I expect some half of them to be females if there are 1 300 newborns. You should have roughly 650 girls if 50% of the infants are girls, but now we only have five. That appears to me to be considerably low. which is your own opinion.

suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is  nλe^(-nλx)

Given fx (x) = λe^λx

Fx (x) = 1 – e^-λx      x…0

To find distribution of Min (X1,….Xn)

By applying the equation

fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)

For minimum j = 1

[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx

= ne^[(n-1) λx] λe^(λx)

= nλe^(-λx[1+n-1])

= nλe^(-nλx)

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Answer:

x=1/32

Step-by-step explanation:

-13-4x-13x=-14+15x

first, combine the like terms.

add -4x and -13x

-13-17x=-14+15x

now, add 13 to both sides

-17x=-1+15x

subtract 15x from both sides

-32x=-1

divide by -32

x=-1/-32

Simplify

x=1/32

Hope this helps!

Answer:

x = 0.84375

Step-by-step explanation:

-13 - 4x - 13x = 14 + 15x

-13 - 17x = 14 + 15x

-13 - 17x + 17x = 14 + 15x + 17x

-13 = 14 + 32x

-13 - 14 = 32x

-27 = 32x

-27 / -32 = 32x / 32

0.84375 = x

The solution of the given system of equations is (4, 7).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=3x-5 -------(I) and y=1/2 x+5 -------(II)

Substitute equation (I) in (II), we get

3x-5=1/2 x+5

3x-1/2 x=5+5

2.5x=10

x=4

Substitute x=4 in equation (I), we get

y=3(4)-5

y=7

So, solution is (4, 7)

Therefore, the solution of the given system of equations is (4, 7).

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Answer:

-589°

Step-by-step explanation:

To find the measures of two angles that are coterminal with -229°, we can add or subtract multiples of 360° until we find angles that are equivalent.

First, let's find a positive coterminal angle:

-229° + 360° = 131°

So, 131° is a positive angle that is coterminal with -229°.

Now, let's find a negative coterminal angle:

To find the measures of two angles that are coterminal with -229°, we can add or subtract multiples of 360° until we find angles that are equivalent.

First, let's find a positive coterminal angle:

-229° + 360° = 131°

So, 131° is a positive angle that is coterminal with -229°.

Now, let's find a negative coterminal angle:

-229° - 360° = -589°

Answer: -589°

Step-by-step explanation:

Answer

The simplified form of the expression is (5a + 3)

Step-by-step Explanation

The question asks us to simplify

5 + 5a - 2

The first step to this is to bring the terms that have a together and the terms that do not have a too together. The expression thus becomes

5 + 5a - 2

= 5a + 5 - 2

= 5a + 3

Hence, the simplified form of the expression is (5a + 3)

Hope this Helps!!!

Answer:

22

Step-by-step explanation:

The measure of angle x is given as follows:

x = 58º

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

For angle x, we have that:

Applying the inverse tangent ratio, we can find it's measure, as follows:

tan(x) = 8/5

x = arctan(8/5)

x = 58º.

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Answer:

“The roof is not my son, but I will raise it.” – Anonymous

“I’m gonna go stand outside. If anyone asks, I’m outstanding.” – Taylor Bass

(your name her) was released from his/her/their 4 year sentence

We have a total of seven 4-tuples that satisfy the given relation.The given relation is {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}. It can be understood as the set of 4-tuples (a, b, c, d) such that a, b, c, and d are positive integers and their sum is equal to 6.

Let's now list all the possible 4-tuples that satisfy the given relation. The possible combinations are as follows: (1, 1, 1, 3), (1, 1, 2, 2), (1, 2, 1, 2), (2, 1, 1, 2), (1, 2, 2, 1), (2, 1, 2, 1), and (2, 2, 1, 1).

Here's a brief explanation on how these 4-tuples were obtained. Let a, b, c, and d be positive integers such that a+b+c+d = 6. The least possible value that each variable can take is 1.

So, we start with a=1 and find all possible values of (b, c, d) that satisfy the given equation. Then, we move to a=2 and repeat the process. Finally, we list all the possible 4-tuples that we obtained.

Thus, we have a total of seven 4-tuples that satisfy the given relation.

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b equal for the top of the bookcase to have the correct area= 5 cm2

A solid object's surface area is a measurement of the total area that the surface of the object takes up.

The definition of arc length for one-dimensional curves and the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces.

A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere.

This definition of surface area uses partial derivatives and double integration and is based on techniques used in infinitesimal calculus.

Henri Lebesgue and Hermann Minkowski at the turn of the century sought a general definition of surface area.

L × b = 300

b = 300 / L

b = 300 / 60 = 5

Hence, b equal for the top of the bookcase to have the correct area= 5 cm2.

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True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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\(\tt Step-by-step~explanation:\)

We could see that the size of both images does not change, so it is not a dilation. The image is not mirrored either, so it is not a reflection. Finally, the image does not seem to change place that much from the preimage, so it should not be a translation, either. That means our answer is a rotation, because the image rotated about 180º.

\(\large\boxed{\tt Our~final~answer:~Rotation}\)

As per the given condition of red and black marbles for total number of marbles 240 , the number of red marbles in the bag is equal to 234.

As given in the question,

Total number of marbles in the bag = 240 marbles

Let x be the number of marbles

For every black marble there are 39 red marbles in a bag

Ratio of red marbles to the black marbles is 39 : 1

Required equation to represent the red and black marbles

39x + 1x = 240

⇒ 40 x = 240

⇒ x = 240 /40

⇒ x= 6

Number of red marbles =  39 × 6

                                     = 234 marbles

Therefore, as per the given condition of red and black marbles for total number of marbles 240 , the number of red marbles in the bag is equal to 234.

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Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.

Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.

So the expression becomes:

-14 + 8

To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:

(-14) + (8) = -14 * 1 + (-14) * 8

This can be simplified as:

-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)

Finally, we can add the two negative numbers to get the result:

-14 + (-112) = -126

Therefore, the expression -14 - (-8) factors completely as -126.

Answer: The function is odd because f(–x) = –f(x).

Step-by-step explanation:

\(f(x)=6x^7\\\\f(-x)=6(-x)^7 = -6x^7\\\\\therefore f(x)=-f(-x)\)

The function is odd because f(–x) = –f(x).

The function is given as:

f(x) = 6x^7

A function is odd if the following is true

f(-x) = -f(x)

Calculate f(-x)

f(-x) = 6(-x)^7

f(-x) = -6x^7

Calculate -f(x)

-f(x) = -6x^7

By comparison;

f(-x) = -f(x) = -6x^7

Hence, the function is odd because f(–x) = –f(x).

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The measure of angle QRS in triangle QRS is found as 56.8 degrees.

An angle is  formed when two straight lines or rays meet at a common endpoint.

We know  that the sum of the angles in a triangle is  180 degrees.

In triangle QRS,  

angle RSQ = 48.2 degrees

angle SQR = 75 degrees.

48.2 + 75 + QRS  = 180 (sum of angles in a triangle)

123.2 + QRS  = 180

QRS  = 180 - 123.2

QRS  = 56.8

In conclusion, a triangle is described as a polygon with three edges and three vertices.

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Answer:

-2 +12i

Step-by-step explanation:

(3+9i) - (5 - 3i)

Distribute the minus sign

3+9i - 5 + 3i

3-5  +9i+3i

-2 +12i

The two beaches will be approximately the same width in 15 years. The two beaches will have approximately the same width in 11.5 years.

The Western Beach is losing sand at a rate of 10 feet per 5 years, while the Dunes Beach is gaining sand at a rate of 25 feet per 5 years. This means that the two beaches are getting closer together at a rate of 15 feet per 5 years.

In 15 years, the Western Beach will be 70 feet wide, and the Dunes Beach will be 95 feet wide.

If we assume that the rates of erosion and accretion remain constant, we can get a better approximation of when the two beaches will have the same width by using a linear equation. The equation for the Western Beach is y = -2x + 100, where y is the width of the beach in feet and x is the number of years since 1995. The equation for the Dunes Beach is y = 5x + 20, where y is the width of the beach in feet and x is the number of years since 1995.

To find the year when the two beaches have the same width, we can set the two equations equal to each other and solve for x. This gives us the equation -2x + 100 = 5x + 20. Solving for x, we get x = 11.5.

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The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.

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Based on the information, we can infer that the tables are completed as follows: 5, 10, 15, 4, 8.

To complete the table of the ratios we must take into account the information provided in the fragment. According to the above, in box A for every two markers there are 5 pencils and in box B for every three markers there are 4 pencils. Then the ratios would be the following:

Box A

box B

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Step-by-step explanation:

When adding two fractions with different bases (bottom numbers), we can use this function:

\(\frac{a}{b} + \frac{c}{d} = \frac{ad + cb}{bd}\)

So, to apply this to the given question:

\(\frac{x+3}{x-6} +\frac{1}{x-2}\)

= \(\frac{(x+3)(x-2)+(1)(x-6)}{(x-6)(x-2)}\)

From the given answers, we see we don't need to simplify the resulting base number, which makes things a lot easier.

= \(\frac{[(x*x) + (x*-2)+(3*x)+(3*-2)]+(x-6)}{(x-6)(x-2)}\)

= \(\frac{[x^2 -2x+3x-6]+(x-6)}{(x-6)(x-2)}\)

= \(\frac{x^2 -2x+3x-6+x-6}{(x-6)(x-2)}\)

= \(\frac{x^2 +2x-12}{(x-6)(x-2)}\)

Now if we wanna be a little smart, we can see that from here, the only answer that has x^2 and something else, is A. But, just for show, lets factor.

= \(\frac{x(x+2)}{(x-6)(x-2)}\)

Answer:

A) \(\frac{x(x+2)}{(x-6)(x-2)}\)

Answer:

Step-by-step explanation:

Let's break down the expression step by step:

Nine raised to the power of 1/3:

9^(1/3) = ∛9 = 2.0801

Twenty-seven raised to the power of 1/2:

√27 = 5.1962

Two raised to the power of 1/6:

∛2 = 1.1225

Combining the previous results:

(2.0801 * 5.1962) / 1.1225

Three raised to the power of 1/3:

∛3 = 1.4422

Combining the final result:

(2.0801 * 5.1962) / 1.1225 * 1.4422

(2.0801 * 5.1962) / 1.1225 * 1.4422 ≈ 9.7085

Therefore, the value of the given expression is approximately 9.7085.

Step-by-step explanation:

to control fever a doctor recommend that a child should be given one mg of certain medicine for every 0. 07 kg body weight if the those is proportional to the body weight of the child then the quantity of medicine for a child of body weight to 24.92 kg