Answer the questions about parallelograms

Answer:

Your answer is 8

Step-by-step explanation:

First you have to convert the mixed number into an improper fraction. To do this, multiply the denominator by the whole number. Then add the numerator and put that answer in a fraction over the original. So it would be 3*5=15+1=16/3. So now that the denominators are the same, all you need to do is see how many times 2 goes into 16. 16/2 which is 8. Answer = 8

Answer:D

Step-by-step explanation::

Answer:

Step-by-step explanation:

x - 12 ≤ 3 - 2x

3x ≤ 15

x ≤ 5

To graph this, just draw a VERTICAL line passing through x = 5, then shade the area to the LEFT

When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

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Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.

Answer:

Follows are the python code to this question:

import math as m #import package  

n=int(input('Enter the number of sides:'))#defining n variable for input number of side

s= float(input('Enter the side: '))#defining s variable for input side value

area = (s*s *n)/(4 * (m.tan(m.pi/n)))#defining formula for calcaulting area

print (area)#print area

Output:

please find the attached file.

Step-by-step explanation:

In the above code, firstly, we import the math package as m, and after that, two-variable "n and s" is defined, which uses for input integer and float value from the user end.

Answer:

They are collinear if they are on the same line

Answer:

Step-by-step explanation:

First Use Negative Power Rule: Which is, \(x^-a=\frac{1}{x^a}\)

Then you simplfiy, and your answer will be \(\frac{1}{y^7}\)

Therefore, your answer is \(\frac{1}{y^7}\)

Answer:

y = 10

Step-by-step explanation:

calculate the slope m of the 2 points using the slope formula and equate to the given slope.

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (5, 6 ) and (x₂, y₂ ) = (10, y )

m = \(\frac{y-6}{10-5}\) = \(\frac{y-6}{5}\)

equate this expression for m to the given m of \(\frac{4}{5}\)

\(\frac{y-6}{5}\) = \(\frac{4}{5}\) ( cross- multiply )

5(y - 6) = 20 ( divide both sides by 5 )

y - 6 = 4 ( add 6 to both sides )

y = 10

Answer: graph it. (6,3) 6,8

Step-by-step explanation:

Answer:

A.36 inches B.150 inches

Step-by-step explanation:

multaply 9×4 for A and 10×15 forB

Answer:

30 + 3√2

Step-by-step explanation:

First, we can find the height of the rectangle by using the base length of the triangle. Shown that the two angles of the triangle are 45° and 90°, we know that the remaining angle should be 45°, making the triangle an isosceles triangle. This means that the height of the triangle and the rectangle are both 3.

The length of the rectangle is 15 - 3, which is 12.

The only remaining side, which is the triangle's hypotenuse, and this can only be solved through Pythagoras's theory. Since both sides of the triangle is 3, we use a² + b² = c².

3² + 3² = c²

9 + 9 = c²

18 = c²

c = √18 = 3√2

Now add everything up.

15 + 3 + 12 + 3√2

= 30 + 3√2

Answer:

30 mph

Step-by-step explanation:

6 x 500% = 6 x 5.00 = 30 mph

Descent  = 10 feet

Time required = 2 1/2 minutes.

The rate of descent = (10 feet)/(2.5 mn) = 4 ft/min

In 6 minutes, the descent will be

(4 ft/min)*(6 min) = 24 ft

Answer:

(a) 4 feet/minute

(b) 24 feet

Answer:

In bold below.

Step-by-step explanation:

p^2 - 4 = (p - 2)(p + 2)

Note that 8 = 2^3 so

p^3 + 8 = ( p + 2)(p^2 + 4 - 2p)

So The HCF is p + 2.

The LCM =  (p + 2)(p - 2)(p^2 + 4 - 2p)

It should be close to 7m at around 5pm. In fact, this is the time of day when the water rises the fastest, so perhaps 8m

The interval between successive peaks in the sinusoidal signal graph, or period, is only the number of seconds needed for one cycle of the sinusoid.

Depending on the values of angular frequency (), discrete-time sinusoidal sequences may or may not be periodic. A discrete-time sinusoidal signal must have an angular frequency () that is a multiple of 2 to be considered periodic.

It takes roughly 6 hours from low tide to high tide, or 12 hours for the entire tide cycle. Since low tide was at 2 a.m., low tide will be at around 2 p.m. as well. Three hours later, or at around 5 p.m., the water should be at the average level, which should be at (12.4+1.2)/2=6.8 m. Therefore, it should be close to 7m around 5:45. Actually, this is when the water rises the fastest, so it's probably close to 8m. Your 5.5m is obviously too low, regardless of where it is.

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The length of the semi-major axis of the ellipse is 7.

What is the semi-major axis of an ellipse?

The semi-major axis of an ellipse is the half of the longest diameter passing through its vertex and focus.

The general equation of an ellipse is :

⇒ x²/a²+y²/b²=1, where a is the semi-major axis and b, is the semi-minor axis

x²/49+y²/36=1

x²/(7²)+y²/(6²)=1

x²/a²+y²/b²=1

a=7

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Given:

The formula to find the derivative of the function by using limit is

Replace x=x+h in the given function f(x) to find f(x+h).

Substitute know values in the given formula, we get

Taking out the common term h, we get

Taking limit, we get

Hence the derivative of the given function is 8x+3.

Answer:

It is an acute triangle

Pls mark me brailist!

Answer:

C, F.

Step-by-step explanation:

All angle measures are preserved in a dilation. And if all angle measures are preserved, it makes the triangles similar by the AA similarity theorem.

In verse of B.g(x)=\(\frac{x+5}{4}\) is:

4x-5

Answer:

Solution given:

B.g(x)=\(\frac{x+5}{4}\)

let

g(x)=y

y=\(\frac{x+5}{4}\)

Interchanging role of x and y

we get:

x=\(\frac{y+5}{4}\)

doing crisscrossed multiplication

4x=y+5

y=4x-5

So

g-¹(x)=4x-5

Given that,

→ g(x) = x+5/4

Then g(x)=y,

→ y = x+5/4

Now we can interchange role of x and y,

→ x = y+5/4

Then use the cross multiplication,

→ 4x = y+5

→ y = 4x-5

Hence, g-¹(x) = 4x-5 is the solution.

Answer:

$280

Step-by-step explanation:

7•40=$280

The explicit formula for the sequence 5,7,9,11,13 is  \(a_n = 5+ (n-1)2\).

An arithmetic sequence is described by the explicit formula that is;

\(a_n = a _1 + (n-1)d\)

Given sequence 5,7,9,11,13

Matching parts of the formulas,

we see that a1 = 5, d = 2.

Putting these values into the explicit formula

   \(a_n = a _1 + (n-1)d\\\\a_n = 5+ (n-1)2\)

Hence, the explicit formula for the sequence 5,7,9,11,13 is  \(a_n = 5+ (n-1)2\)

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The spherical coordinates of the given rectangular coordinates are (10, 0, 60).

The cartesian coordinate or rectangular coordinates describes the location of a point in space using an ordered triple where each coordinate represents a distance. The spherical coordinate system describes the location of a point in space using an ordered triple where coordinate describes one distance and two angles. In the spherical coordinate system, a point is represented by the ordered triple (ρ, θ, φ).

The equations which are used to convert from rectangular coordinates to spherical coordinates are:

ρ^2=x^2+y^2+z^2

tan⁡〖θ= y/x〗

φ=arccos⁡〖z/√(x^2+y^2+z^2 )〗

The given rectangular coordinates are (5√3, 0, 5). Hence,

ρ^2=〖(5√3)〗^2+0^2+5^2 ≈ 100

ρ ≈ √100 ≈ 10

tan⁡〖θ= 0/(5√3)=0〗

θ=  tan^(-1)⁡0=0

φ=arccos⁡〖5/√(〖(5√3)〗^2+0^2+5^2 )〗= arccos 5/10=arccos⁡0.5 ≈ 60

Note:  The question is incomplete. The complete question probably is: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where needed. Give your answer as a point's coordinates in the form (*,*,*). (5√3, 0, 5)

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after solving each compound given in the picture

there was a existing solution that is as follows -

a ) ( - ∞ , 1] U [12 , ∞ )

b) ( - ∞ , 8] U [4 , ∞)

inequality, When two integers or algebraic expressions are stated to be greater than, greater than or equal to, less than, or less than or equal to each other in order.

A mathematical statement known as an inequality in algebra uses the inequality symbol to show the relationship between two expressions.  It indicates that the expressions on the left and right should be bigger or less than one another, or vice versa. Literal inequalities occur when the relationship between two algebraic expressions is shown using the inequality symbol. An inequality in algebra is a mathematical statement that demonstrates the relationship between two expressions.  In other words, the expression on the left should be greater or smaller than the expression on the right.

a ) ( - ∞ , 1] U [12 , ∞ )

b) ( - ∞ , 8] U [4 , ∞)

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\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Here we go ~

According to given information,

when, x is not equal to -2, that means g(x) = 4 for all values of x except " - 2 "

Therefore,

\(\qquad \sf  \dashrightarrow \: g( - 5) = 4\)

and

\(\qquad \sf  \dashrightarrow \: g(3) = 4\)

And, when x = -2, it's value is 2, hence :

\(\qquad \sf  \dashrightarrow \: g( - 2) = 2\)

Answer:

319.532467532

Step-by-step explanation:

The number of turns the wheel makes is 1.93 ≈ 2.

What is Turns?

This is referred to as a cycle. It is a unit of plane angle measurement that is equivalent to 2π radians, 360 degrees, or 400 gradians.

formular for calculating Turns:

Turns =         Lenght

              Circumference

Circumference of a circle, C= πD

Where,

Diameter=D

            π =22/7

Calculating Circumference;

C= 22  * 66

            7

    =207.4

From the question:

D= 66cm

L  =400m

Calculating Turns:

Turns =  Lenght

              Circumference

          =   400m

               207.4

      Turns =1.93

Turns =1.93≈ 2

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The abortion rate in 2005 was 309 per 1000 live births.

Given:

y = Ax²+Bx+C

from calculator : A = 0.13

B = -8.34

C = 423.50

y = 0.13x² - 8.34x + 423.50

Abortion rate in 2005:

x=20

y = 0.13x(20)² - 8.34×20 + 423.50

y = 308.7

y = 309 per 1000 live births.

Hence we get the required answer.

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1) Polynomial of 4 terms.

2) The rational roots of the function are,

x = - 2, 1

3) The zeroes of the function are,

x = - 2, - 3, 2

4) The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) The correct function which shows the cubic equation is, option 1.

We have to given that;

1) Function is,

⇒ 3x⁵ + 5x⁴ - 7x³ + 15

Clearly, There are 4 terms in function.

Hence, Polynomial of 4 terms.

2) Function is,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

The correct rational roots are satisfy the function,

Hence, We get;

Plug x = 1,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0

⇒ 0 = 0

Plug x = - 2;

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0

⇒ 0 = 0

Thus, The zeroes of the function are,

x = - 2, 1

3) Function is,

⇒ y = (x + 3) (x + 2) (x - 2)

Hence, The zeroes of the function are,

x = - 3

x = - 2

x = 2

4) Function is,

⇒ 3x² - 4 = - x⁴

⇒ x⁴ + 3x² - 4 = 0

⇒ x⁴ + 4x² - x² - 4 = 0

⇒ x² (x² + 4) - 1 (x² + 4) = 0

⇒ (x² - 1) (x² + 4) = 0

⇒ x² - 1 = 0

⇒ x² = 1

⇒ x = ±1

⇒ x² + 4 = 0

⇒ x² = - 4

⇒ x = ±2i

Hence, The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) By given graph the  correct function which shows the cubic equation is, Option 1.

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