Translate the phrase into a variable expression. Use the letter p to name the variable. If necessary, use the asterisk (*) for multiplication and the slash (/ ) for division . ... the total number of parrots in the jungle and the 3 parrots your neighbor has ...

Answer: 57 cm²

Step-by-step explanation:

We can split this figure into two shapes: the rectangle on the left and the triangle on the right. We can find the area of each separately and add them to get the total area.

The area of a rectangle is \(lw\), where l is the length and w is the width. We can just multiply 8 and 6 to get the area of the rectangle.

\(A=8*6\\A=48\)

The area of the triangle is \(\frac{1}{2}bh\), where b is the base of the triangle and h is the height. Here' the base would be 6 cm as opposite sides of a rectangle have the same measure, and the height is 3.

\(A=\frac{1}{2}(6*3)\\A=\frac{1}{2}(18)\\A=9\)

The total area would just be the sum of the two separate areas.

\(48+9=57\)

Hence, the area of the figure is 57 cm².

Answer: 57 cm^2

Step-by-step explanation:

To find the entire area of the figure, we have to find the area of the rectangle and the triangle and sum it up

The area of the rectangle is 6 * 8 = 48 cm^2

The area of the triangle is 1/2 * 3 * 6(Opposite sides of a rectangle have equal lengths) = 9 cm^2

So the area of the figure is 48 + 9 = 57 cm^2

Answer:

its 119

Step-by-step explanation:

first off, let's take a peek at the picture above

hmmm the hyperbola is opening sideways, that means it has a horizontal traverse axis, it also means that the positive fraction will be the one with the "x" variable in it.

now, the length of the horizontal traverse axis is 4 units, from vertex to vertex, that means the "a" component of the hyperbola is half that or 2 units, and 2² = 4, with a center at the origin.

\(\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(x- 0)^2}{ 2^2}-\cfrac{(y- 0)^2}{ (\sqrt{3})^2}=1\implies {\Large \begin{array}{llll} \cfrac{x^2}{4}-\cfrac{y^2}{3}=1 \end{array}}\)

The circle with a radius of 5 feet has an area of 78.54 square feet and a circumference of approximately 31.42 feet.

To determine the area and circumference of a circle with a radius of 5 feet, we can utilize the formulas for these measurements.

Firstly, let's consider the area of the circle. The formula for the area of a circle is A = πr², where π is a constant approximately equal to 3.14159 and r represents the radius. By substituting the given radius value into the formula, we obtain A = 3.14159 * (5)² = 3.14159 * 25 = 78.54 square feet. Hence, the area of the circle is 78.54 square feet.

Secondly, let's calculate the circumference of the circle. The formula for the circumference is C = 2πr, where C represents the circumference. Plugging in the value of the radius, we have C = 2 * 3.14159 * 5 = 31.4159 feet. Thus, the circumference of the circle is approximately 31.42 feet.

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The rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

The volume of the liquid in the bowl is given by the following integral:

\(V = \int\limitsx_{0}^{h} \, \pi r^{2}(y) dy\)

where r = radius of the bowl and y = height of the liquid.

The radius of the bowl is equal to the distance from the curve y = (4/(8-x)) - 1 to the y-axis. This can be found using the following equation:

r = √{(4/(8-x)) - 1}² + 1²

The height of the liquid is equal to the distance from the curve y = (4/(8-x)) - 1 to the x-axis. This can be found using the following equation:

h = (4/(8-x)) - 1

Substituting these equations into the volume integral:

\(V = \int\limitsx_{0}^{h } \, \pi {\sqrt{(4/(8-x)) - 1)^{2} + 1^{2} (4/(8-x))} - 1 dy\)

Evaluate this integral using the following steps:

Expand the parentheses in the integrand.

Separate the integral into two parts, one for the integral of the square root term and one for the integral of the linear term.

Integrate each part separately.

The integral of the square root term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, dx \sqrt{x} dx = 2/3 (x^{3/2}) |^{b}_{a}\)

The integral of the linear term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, {x} dx = (x^{2/2}) |^{b}_{a}\)

Substituting these formulas into the integral:

V = π { 2/3 (4/(8-x))³ - 1/2 (4/(8-x))² } |_0^h

Evaluating this integral:

V = π { 16/27 (8-h)³ - 16/18 (8-h)² }

The rate of change of the volume of the liquid is given by:

dV/dt = π { 48/27 (8-h)² - 32/9 (8-h) }

The rate of change of the volume of the liquid is 7π cm³ s⁻¹. Also the depth of the liquid is one-third of the height of the bowl. This means that h = 2/3.

Substituting these values into the equation for dV/dt:

dV/dt = π { 48/27 (8-2/3)² - 32/9 (8-2/3) } = 7π

Solving this equation for the rate of change of the depth of the liquid:

dh/dt = 7/(48/27 (8 - 2/3)² - 32/9 (8 - 2/3)) = 1.25 cm s⁻¹

Therefore, the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

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Answer:

10.8

Step-by-step explanation:

14+10+8+10+12

_______________

5

= 54/5

= 10.8

Answer:

\(x = \frac{8d-10e-3a-2b}{c}\)

Step-by-step explanation:

In order to find x, our goal is to isolate it on one side of the equation.

To do this, let's first apply the distributive property on the right side of the equation.

\(3a+2b+cx = 8d - 10e\)

Now we can subtract \(3a\) and \(2b\) from both sides:

\(cx = 8d - 10e - 3a - 2b\)

And now we can divide both sides by \(c\) so that x is alone on the left side.

\(x = \frac{8d-10e-3a-2b}{c}\)

Hope this helped!

Answer:

He needs to get up at 6:30 am.

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

7.48 x 8.33 = 62.3664 pounds are the weight of one cubic foot of water. 1.8 x 62.3664 = 112.26 is the weight of one cubic foot of water. Therefore, 1.8 cubic feet of water weigh about 112.26 pounds.

3 dimensions: 3 by 3 by 3

A space that is 1 foot by 1 foot by 1 foot is called a cubic foot. Add the piece's length, breadth, and height together to get the cubic feet it will hold. For instance, the volume of a dresser that is 4 feet length, 2 feet wide, and 5 feet high is 40 cubic feet.

A Cubic Unit's Operation Each unit cube's dimension of a unit cube(length, width, and height) is one unit. So, one unit of length with one unit of width and one unit of height together make a volume of one cubic unit.

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Using a system of equations, for Madelyn to add a certain number of charms to her bracelet, where the cost will be the same at either jewelry shop, the number of chams would be 5.

When two or more equations are solved concurrently, they are described as a system of equations.

Another description of a system of equations is simultaneous equations.

                                       Oxford Fine    Espinoza

Unit cost per charm              $12                 $14

The cost of the bracelet      $40                $30

Let the number of charms = c

Equation 1: (Costs at Oxford Fine) 12c + 40

Equation 2: (Costs at Espinoza) 14c + 30

For the cost to be the same at either jewelry shop, Equation 1 must equal Equation 2:

12c + 40 = 14c + 30

-2c = -10

c = 5

Check:

12c + 40

12(5) + 40 = $100

14c + 30

14(5) + 30 = $100

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The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

The Lucas sequence or Lucas series are an integer sequence named after the mathematician francois Edouard Lucas, which are similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a fibonacci integer sequence.

Now, the sequence of first 10 numbers of Fibonacci series are-

0, 1, 1 ,2, 3, 5, 8, 13, 21, 34

which are defined as set of integers that starts with zero, followed by a one,then by another one and then by series of steadily increasing numbers,The sequence follow the rule that each number is equal to the sum of preceding two numbers.

And the sequence of Lucas sequence is -

2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

which is definedas  the sum of its two immediate previous terms.

The Lucas number may thus be defined as follows;

Ln =    \(\left \{ {{2} ; if n= 0 \atop {1}; if n = 1} \right.\)

Here we can see that Lucas series starts with 2 and 1 whereas Fibonacci series starts with 0 and 1.

Hence,The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

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Answer:

People shared styles of art and architecture

Step-by-step explanation:

In medieval times, Islamic religion and culture spread mainly through military conquest and trade.

With the spread of Islamic culture in the medieval times, the characteristic which were spread by trade was art and architecture.

Answer:

People shared styles of art and architecture

Step-by-step explanation:

It is what it is

Answer:

me

Step-by-step explanation:

Answer:

Yes pls

Step-by-step explanation:

im thirsty my guy

Answer:

130 ± 1.82 inches i.e the range of the values is 128.18 inches to 131.82 inches.

Step-by-step explanation:

The range of values required here implies the values fall between the least and maximum values.

Since the values can vary by 1.4%, the range can be determined by:

1.4% of 130 = \(\frac{1.4}{100}\) x 130

                  = 0.014 x 130

                  = 1.82

The addition or subtraction of 1.82 to/from 130 inches gives the required range.

i.e the range of allowable values = 130 ± 1.82 inches.

Thus,

130 - 1.82 = 128.18 inches

130 + 1.82 = 131.82 inches

The values falls between 128.18 inches to 131.82 inches.

Answer:

24 38%

25 17.04%

26 53%

Step-by-step explanation:

Q24

L = MN

M becomes 1.15M; N becomes 1.2N

L = (1.15M)(1.2N)

L = 1.38MN

L was MN; now L is 1.38MN

Answer: The percent increase in L is 38%

Q25

A = bh/2

A = 0.5ab

a becomes 1.33a; b becomes 0.88b

A = (1.33a)(0.88b)/2

A = 0.5852ab

The area increased from 0.5ab to 0.5852ab.

0.5852/0.5 = 1.1704

Answer: The percent increase in area is 17.04%

Q26

30% of members are male

70% of members are female

Male training for marathon: 60% of 30% = 18%

Female training for marathon: 50% of 70% = 35%

Total: 18% + 35% = 53%

Answer: 53%

Answer:

Negative

Step-by-step explanation:

When you move the decimal place to the right, the exponent in scientific notation is negative. In other words, when you are converting a number smaller than 1 into scientific notation, the exponent will be negative. In this case, because you are moving the decimal place to the right 3 places, the new number would be 4.430 x 10⁻³ cm.

When you move the decimal place to the left, the exponent in scientific notation is positive.

Answer:

43.68

Step-by-step explanation:

28÷500=0.056

0.056×780=43.68

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Answer:

170 I think-

Step-by-step explanation:

Answer:

y = (x - 3)² + 6

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square

y = x² - 6x + 15

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 15

y = (x - 3)² - 9 + 15

y = (x - 3)² + 6 ← in vertex form

Answer:

Step-by-step explanation:

L1 -x + 2y = -1

L2 5x - 10y = 6

-x + 2y = - 1 multiply by -1

x - 2y = 1 multiply by 5

5x - 10y = 5 is similar that 5x - 10y = 6

The system has no solution

Answer:

84.825

Step-by-step explanation:

learn how to do it

Answer:

2

Step-by-step explanation:

abshxhdbxbjsbxbsbxnd

Answer:

8/20

Step-by-step explanation:

you multiply the dividend denominator by the divisor Numerator to make a new Denominator

1x8/4x5=8/20

The function that represents exponential decay is f(x) = 1(2)ˣ.

Exponential decay describes the process of reducing an amount at a consistence rate.

The general exponential decay formula is given as;

\(y = ab^x\)

From the given options, we can conclude that the option that corresponds to the above general equation is option A.

\(y = ab^x\\\\f(x) = 1(2)^x\\\\y = f(x)\\\\a = 1\\\\b = 2\\\\\)

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To find how many months have more than 2 days look at the heights

of the bars

You need to count the bars which height more than 2

There are 5 bars that have a height of more than 2

The answer is 5

The correct equation for Step 3 for completing the square method are shown in the table is,

⇒ (x² + 8x + 16) + (y² - 6y + 9) = 11 + 16 + 9

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

The beginning steps for determining the center and radius of a circle using the completing the square method are;

Step 1 [original equation]:

⇒ x² + 8x + y² - 6y = 11

Step 2 [group like terms]:

⇒ (x² + 8x) + (y² - 6y) = 11

Now, We ca complete the squares for determining the center and radius of a circle as;

Step 1 [original equation]:

⇒ x² + 8x + y² - 6y = 11

Step 2 [group like terms]:

⇒ (x² + 8x) + (y² - 6y) = 11

Step 3;

⇒ (x² + 8x + 16) + (y² - 6y + 9) = 11 + 16 + 9

Step 4;

⇒ (x + 4)² + (y - 3)² = 36

Thus, The correct equation for Step 3 for completing the square method are shown in the table is,

⇒ (x² + 8x + 16) + (y² - 6y + 9) = 11 + 16 + 9

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