Realice los siguientes ejercicios de lenguaje algebraico
Considerando que Soraya tiene x naranjas
Considerando que y es la edad de José.

16.82 % and 2.83% of the original drug dose remain in 36 hours and 72 hours respectively.

What is half-life?

Half-life is a characteristic unit for the exponential decay equation and is constant across the lifespan of an exponentially decaying quantity.

Given, the half-life of a drug(h) = 14 hours

The first condition, time duration (t) = 36 hours

Then, the half-life of the substance can be calculated by:

    [tex]A = A_{0} * (1/2)^{\frac{t}{h} }[/tex]

or, [tex]A = A_{0} * (1/2)^{\frac{36}{14} }\\A = A_{0} * (0.1682)\\[/tex]

16.82 % of the original drug dose remains in 36 hours

Hence, 16.82 % of the original drug dose remains in 36 hours

The second condition, time duration (t) = 72 hours

Then, the half-life of the substance can be calculated by:

 [tex]A = A_{0} * (1/2)^{\frac{t}{h} }[/tex]

[tex]A = A_{0} * (1/2)^{\frac{72}{14} }\\A = A_{0} * (0.0283)\\[/tex]

2.83 % of the original drug dose remains in 72 hours

Hence, 2.83 % of the original drug dose remains in 72 hours

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Using trigonometric ratio, the distance of the bird is 21.8m

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

To solve this problem, we have to use trigonometric ratio of SOHCAHTOA

Let's define the variables given;

Using Tangent of an angle;

tanθ = opposite / adjacent

tan 36 = x / 30

Cross multiply both sides and solve for x

30 tan36 = x

21.8 = x

The distance above the ground from the bird is 21.8 meter.

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The category which has the greatest joint frequency is sugar cookies with a frequency of frosting and no frosting as 56 and 120 and a joint frequency of 176

Frosting No frosting Total

sugar cookies 56 120 176

Chocolate cookie 66 70 136

Red velvet 38 50 88

Total 160 240 400

Chocolate cookies with frosting = Total chocolate cookies - chocolate cookies with no frosting

= 136 - 70

= 66

Red velvet cookies with frosting = Total cookies with frosting - (Chocolate cookies with frosting + sugar cookies with frosting)

= 160 - (56 + 66)

= 160 - 122

= 38

Total red velvet cookies = Red velvet cookies with frosting + Red velvet cookies with no frosting

= 50 + 38

= 88

Total cookies with no frosting = Total cookies - Total cookies with frosting

= 400 - 160

= 240

Total sugar cookies with no frosting = Total cookies with no frosting - (chocolate cookies with no frosting + Red velvet cookies with no frosting)

= 240 - (70 + 50)

= 240 - 120

= 120

Total sugar cookies = Total sugar cookies with no frosting + Total sugar cookies with frosting

= 120 + 56

= 176

In conclusion, the highest joint frequency is sugar cookies.

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Answer:

[tex]\textsf{Line \#2}: \quad y=x-5[/tex]

[tex]\textsf{Line \#3}: \quad y=\dfrac{1}{4}(x-1)-4[/tex]

[tex]\textsf{Line \#4}: \quad y=-8x-29[/tex]

Step-by-step explanation:

Given points:

To find the equations for each of the lines:

Points:

Find the slope:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{1-6}=\dfrac{-5}{-5}=1[/tex]

Substitute the found slope and one of the points into the point-slope formula:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-1=1(x-6)[/tex]

[tex]\implies y=(x-6)+1[/tex]

[tex]\implies y=x-5[/tex]

Points:

Find the slope:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-(-4)}{-3-1}=\dfrac{-1}{-4}=\dfrac{1}{4}[/tex]

Substitute the found slope and one of the points into the point-slope formula:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-(-4)=\dfrac{1}{4}(x-1)[/tex]

[tex]\implies y+4=\dfrac{1}{4}(x-1)[/tex]

[tex]\implies y=\dfrac{1}{4}(x-1)-4[/tex]

Points:

Find the slope:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-(-5)}{-4-(-3)}=\dfrac{8}{-1}=-8[/tex]

Substitute the found slope and one of the points into the point-slope formula:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-(-5)=-8(x-(-3))[/tex]

[tex]\implies y+5=-8(x+3)[/tex]

[tex]\implies y=-8(x+3)-5[/tex]

[tex]\implies y=-8x-24-5[/tex]

[tex]\implies y=-8x-29[/tex]

Answer: the price per game is 4 per game and the shoe rental is the additional fee to bowl

Step-by-step explanation:

Answer:

An egg

Step-by-step explanation:

Hope this helps you

The total time required in months is 108 months.

What is simple interest?

Simple interest is defined as the amount of interest paid on a specific principal, an amount at a specific interest rate. It is given by

I = Prt

where, I = simple interest, P = Principal, r = rate of interest, t = time taken

Given, P = $100

I = $135

r = 0.15

t = ?

So, simple interest is given by:

I = Prt

or, 135 = 100*0.15*t

or, 135 = 15*t

or, t = (135/15) = 9 years = 9*12 = 108 months

Hence, the total time required in months is 108 months.

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Answer:  108

Step-by-step explanation:

just took test

Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.

Step-by-step explanation:

Answer:

20 flowers at sides and 4 flowers at the corner then

total flowers are 24

cost of 2 flowers is 6 then of one flower will be 3

total cost of the flowers will be 24×3=72

Step-by-step explanation:

Answer:

Step-by-step explanation:

when tou have a problem you can saw me okey

Answer:

Step-by-step explanation:

77*5=385

Answer with step-by-step explanation:

Let the width of the rectangle be x.

Given that,

length ⇒ 4

width ⇒ x + 4 ( Because, the rectangle's width is 4 more than the length.)

Perimeter ⇒ 36cm

The formula to find the perimeter of rectangle is:

P = 2 ( l + w )

Now to find the value of x replace P, l & w with 36, 4 & (x + 4) with respectively.

P = 2 ( l + w )

36 = 2 ( 4 + x + 4 )

36 = 2 ( x + 8 )

Solve the brackets.

36 = 2x + 16

Substract 16 from both sides.

36 - 16 = 2x

20 = 2x

Divide both sides by 2.

10 = x

And now let us find the exact dimensions of the rectangle.

Length = 4 cm

Width = x + 4 = 10 + 4 = 14 cm

Answer:5/2 miles or 4 and half mile

Step-by-step explanation:

1/10 times 25

25/10

5/2

Answer:

Step-by-step explanation:

the answer is 2 1/2 miles

The new equation of graph will be-

For the stated conditions.

The equation of the graph is given as-

y = 5ˣ

Part a: f(x) is shifted 4 units downward,

y = 5ˣ - 4, is the new image location.

Part b:  f(x) is shifted 5 units left,

, y = 5ˣ⁻⁵, change in the y axis with negative sign.

Part c: f(x) is reflected about the y axis.

y = 5⁻ˣ, x coordinates will change, keeping the y axis same.

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Answer:30 1/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes, it is a function.

The reason for this is because it passes what is called the Vertical Line Test, notice how if you draw a completely straight line down, it will only make contact with the graph one time. It is hard to tell, but even though it looks like the graph stops at x=±3, the graph is actually approaching the values ever so slightly, therefore maintaining the conditions for the vertical line test.

The answer is A. Yes.

Answer:

The answer is approximately equal to 14.14214

Answer:

9 meters

Step-by-step explanation:

|7.5|+|-1.5|=9

(the || on either side of each number shows that it's representing how far the number is from 0, so it's essentially 7.5+1.5)

The new function rule is g(x) = 2x -3

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).

if f(x) = 2x, then f(x-4) = 2(x-4)

g(x) = f(x-4) + 5

substitute f(x-4) into g(x)

g(x) = 2(x-4) + 5

g(x) = 2x -8 + 5

g(x) = 2x - 3

In conclusion, the function rule g(x) is 2x - 3

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The equation of line is y + 2x +7 =0 for the points (-5,3) and (0,-7).

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

The given points are (-5, 3) and (0, -7).

To find the equation of line, use formula,

y - y₁ = m(x - x₁) where m = (y₂-y₁)/(x₂-x₁),

y - 3 = (-7 - 3)/(0-(-5)) (x - (-5))

y - 3 = -10 / 5 (x + 5)

y - 3 = -2 (x + 5)

y + 2x +7 =0

The required equation of line is y + 2x +7 =0 .

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Answer: 2 9/20

Step-by-step explanation:

First, rewriting our equation with parts separated

=6+14−3−45

Solving the whole number parts

6−3=3

Solving the fraction parts

14−45=?

Find the LCD of 1/4 and 4/5 and rewrite to solve with the equivalent fractions.

LCD = 20

520−1620=−1120

Combining the whole and fraction parts

3−1120=2920

Solution by Formulas

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

254−195

Applying the fractions formula for subtraction,

=(25×5)−(19×4)4×5

=125−7620

=4920

Simplifying 49/20, the answer is

=2 9/20

The mail that are sent by big commercial users is 169.60 billion.

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 4/5.

In order to determine the pieces of mail that are sent by big commercial users, multiply the fraction by the total number of mails delivered each year.

The mail that are sent by big commercial users = 4/5 x 212 billion = 169.60 billion

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Answer: $4.5 left.

Step-by-step explanation:

You have 30 quarters, and find 20% more. To convert percentages to decimals for calculations, simply move the decimal two spaces to the left.

20% is 20. ---> 2.0 ---> .20

30 * 0.2 = 6.    Now add 6 (found) to 30 (original) to get the total.

30+6 = 36 total quarters.

You spend 50% of the quarters, 36 * 0.5 = 18.

This means you have 18 quarters left (or you spent 18).

18 quarters, each quarter is worth 0.25 dollars, so multiply the number left by how much each is worth.

18 * 0.25 = $4.5.

$4.50 is the amount left

The distance of the library from the community pool is given  as 4.4 km

We have to solve this problem with the use of the Pythagoras theorem.

The formula is given as

a² = b² + c²

The total distance flown would be represented by a = 10 kilometer

the distance for the courthouse would be given as 9 kilometers

When we put these values in the formula we would have

10² = a² + 9²

100 = a² + 81

a² = 100 - 81

a² = 19

a = √19

a = 4.4 km

Hence the calculated distance is given a 4.4 km from the library to pool.

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The number of cubes of edge length 1/3 is 27 and the volume of the cube is 1 cubic inches

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

The volume of a cube is the cube of its edge length

This means that the volumes are

Volume = Edge length³

So, we have

Volume of cube 1 = (1/3 inch)³ = 1/27 cubic inches

Volume of cube 2 = (1 inch)³ = 1 cubic inch

The number of cubes is then calculated as

Number of cubes = Volume of cube 2/Volume of cube 1

This gives

Number of cubes = 1/(1/27)

Number of cubes = 27

Here, we have

Edge length of cube = 1 inch

The volume of a cube is the cube of its edge length

This means that the volumes are

Volume = Edge length³

So, we have

Volume of cube = (1 inch)³ = 1 cubic inch

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Complete question

a. How many cubes with an edge length of 1/3 inch are needed to build a cube with an edge length of 1 inch?

b. What is the volume, in cubic inches, an edge length of 1 inch?

Answer:

card worth $20

the link to the graph down in the below

Step-by-step explanation:

Answer: 372ft

Step-by-step explanation:

310 divided by 10 equals 31.

31 times 12 = 372

And so it is 372 ft