please solve these. i need help please.
worth 30 points.

Answer:

16x - 24

Step-by-step explanation:

Use distributive property to find the product of 8 and 2 and the product of 8 and 3 since x is unknown leave it as x by the 16 and subtract 24

Answer:

x = 41.2

Step-by-step explanation:

Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.

Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.

The simplified version of the expression would be 31-w

The numerical part of the expression given is :

Simplifying using Subtraction operation:

Adding the alphabetical part :

Therefore, the simplified form of the expression is 31-w.

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Let f = {(x, y) | x, y ∈ ℕ and y = 2x} be a relation on ℕ. Find the domain, co-domain and range. Is this relation a function?               (2pts. )      

we have the equation

y=-4x+4

this is the equation of the line in slope intercept form

where

the slope is m=-4 ----> is a negative slope

the y-intercept is b=4

that means

the y-intercept is the point (0,4)

Find out the x-intercept

For y=0

0=-4x+4

4x=4

x=1

x intercept is (1,0)

therefore

the answer is

a line that slopes down

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

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The coordinates of the marked point is :

Hello there!

The coordinates of the given point are (0, 9)

It means that the x-coordinate of this point is 0, and the y-coordinate is 9.

Hope this helps! :)

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\(GraceRosalia\)

The total number of minutes that Anaya rides her bike on Monday and Tuesday is 18 minutes.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that on Monday, Anaya rides her bike for 9 minutes. On Tuesday, she rides her bike times as many minutes as on Monday.

Total number of minutes = Monday time + Tuesday time

Total number of minutes  = 9 + 9

Total number of minutes  = 18 minutes

Therefore, the total number of minutes that Anaya rides her bike on Monday and Tuesday is 18 minutes.

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The terms which are equivalent to the slope in a proportional relationship include:

Proportional relationships are those in which the ratios of two variables are equal. Another way to think about them is that one variable in a proportional relationship is always a constant value multiplied by the other. This is known as the "constant of proportionality."

The proportionality constant is the ratio that connects two given values in a proportional relationship. The constant of proportionality is also known as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

The slope of a line indicates its steepness. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). The slope formula is the rise over run formula, where the fraction consists of a rise, whether the line is going up or down, divided by the run.

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Complete question

Select all the terms which are equivalent to the slope in a proportional relationship.

Constant of proportionality

Origin

Inverse

Rise over run

Unit rate

The required amount of the space available is 0.045 cubic meter.

We need to determine Space inside the steps.

The Volume is defined as the mass of object per unit density.

The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2

                                 =  0.06 - 0.015

                                 =    0.045 cubic meter

Hence, the required amount of the space available will be 0.045 cubic meter.

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Answer:

2500

Step-by-step explanation:

because i know the answers

We are asked to find the range of the function defined by:

f(x) = (2/3) x + 18

Since this is a linear function with slope (3/2) and y-intercept (0, 18), we understand that the Range of it is the entire set of Real numbers (from -infinity to plus infinity in the y axis)

The answer "All Real numbers" is the correct answer.

Answer:

Below in bold.

Step-by-step explanation:

A = value of y when x = -1:

A = -2(-1)^2 + 4(-1) + 9

   = -2*1 - 4 + 9

   = -2 - 4 + 9

   = 3.

B = value of y when x = 2:

B = -2(2)^2 + 4(2) + 9

   = -2*4 + 8 + 9

   = - 8 + 8 + 9

    = 9.

Answer:

If you've more doubts you can ask :)

Step-by-step explanation:

If the centre of a circle is (a, b) and radius r, then the equation of the circle is :

\((x - x)^2 + (y-b)^2 = r^2\)

First we will find the centre, (a , b):

\(a = \frac{3+(-1)}{2} = \frac{2}{2} = 1\\\\b = \frac{-2 + 4}{2} = \frac{2}{2} = 1\)

Find radius:

\(Radius, r = \frac{Diameter}{2}\)

Diameter is the distance between (-1, 4) and (3, -2)

\(diameter = \sqrt{(x_2 - x_1)^2 +(y_2-y_1)^2} \\\\\)

             \(= \sqrt{(3-(-1)^2 + (-2-4)^2} \\\\=\sqrt{16 + 36}\\\\=\sqrt{52}\\\\=\sqrt{4 \times 13}\\\\=2\sqrt{13} \ units\)

Therefore , \(r = \frac{2 \times \sqrt{13} }{2} = \sqrt{13} \ units\)

Equation of the circle is :  

                                 \((x - 1)^2 +(y-1)^2 = 13\)

The simplified expression for \($(27^{\frac{1}{2} }) ^{\frac{2}{3} }\) is equal to 3.

We can write the simplified form of the given expression using the exponent rule as -

{aˣ/aⁿ} = {aˣ a⁻ⁿ} = {aˣ ⁻ ⁿ}

Given is the expression as -

\($(27^{\frac{1}{2} }) ^{\frac{2}{3} }\)

We can simplify the expression as -

\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = (27)^{\frac{1}{2} \times \frac{2}{3} }\)

\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = 27^{\frac{1}{3} }\)

\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = (3)^{3}^{\frac{1}{3} }\)

\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = 3\)

Therefore, the simplified expression for \($(27^{\frac{1}{2} }) ^{\frac{2}{3} }\) is equal to 3.

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Answer:

17.4

Step-by-step explanation:

side 1=4.5

side 2=4.5

side 3=4.5

base 1=3.9

17.4

The length of Marisa's garden is 10

The given parameters are:

Perimeter = 32 feet

Width = 6 feet

The perimeter is calculated as:'

Perimeter = 2 * (Length + width)

So, we have

2 * (Length + 6) = 32

Divide by 2

Length + 6 = 16

Subtract

Length = 10

Hence, the length of Marisa's garden is 10

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Answer:

A. 12m + 8

Step-by-step explanation:

Simplify

(16m + 3) – (4m – 5)

(16m + 3) – 4m + 5

Eliminate reduce parentheses

16m + 3 – 4m + 5

Add the numbers

16m + 3 – 4m + 5

16m + 8 – 4m

Combine like terms

16m + 8 – 4m

12m + 8

log₂ 24 can be expressed as 3 + log₂ 3 in terms of prime factors, using the properties of logarithms.

To express log₂ 24 in terms of prime factors, we can use the properties of logarithms and the fact that any positive integer can be expressed as a product of prime factors.

First, let's find the prime factorization of 24.

24 can be divided by 2, so we have 24 = 2 × 12.

12 can be divided by 2, so we have 12 = 2 × 6.

6 can be divided by 2, so we have 6 = 2 × 3.

Therefore, the prime factorization of 24 is 2 × 2 × 2 × 3, or 2³ × 3.

Now, using the properties of logarithms, we can express log₂ 24 as the sum of logarithms of its prime factors.

log₂ 24 = log₂ (2³ × 3)

According to the properties of logarithms, we can separate the factors inside the logarithm as individual terms:

log₂ (2³ × 3) = log₂ 2³ + log₂ 3

Since log₂ 2³ is equal to 3, we can simplify the expression further:

log₂ (2³ × 3) = 3 + log₂ 3

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Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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Answer:

A

Step-by-step explanation:

9-2x≤3x+24

-15≤5x

-3≤x

so it's:

[-3,∞)

The option that can be used to verify the trigonometric identity, \(tan\left(\dfrac{x}{2}\right)+cot\left(x \right) = csc\left(x \right)\) is option C;

C. \(tan\left(\dfrac{x}{2} \right) + cot\left(x \right) = \dfrac{1-cos\left(x \right)}{sin\left( x \right)} +\dfrac{cos \left(x \right)}{sin\left(x \right)} =csc\left(x \right)\)

A trigonometric identity is an equations that consists of trigonometric functions that remain true for all values of the argument of the functions

The specified identity is presented as follows;

\(tan\left(\dfrac{x}{2} \right)+cot(x)=csc(x)\)

The half angle formula for tangent indicates that we get;

\(tan\left(\dfrac{1}{2} \cdot \left(\eta \pm \theta \right) \right) = \dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}\)

\(\dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}=\dfrac{sin \left(\eta\right) \pm sin\left(\theta \right)}{cos \left(\eta \right) + cos \left(\theta \right)} = -\dfrac{cos \left(\eta\right) - cos\left(\theta \right)}{sin \left(\eta \right) \mp sin \left(\theta \right)}\)

When η = 0, we get;

\(-\dfrac{cos \left(0\right) - cos\left(\theta \right)}{sin \left(0 \right) \mp sin \left(\theta \right)}=-\dfrac{1 - cos\left(\theta \right)}{0 \mp sin \left(\theta \right)}=\dfrac{1 - cos\left(\theta \right)}{sin \left(\theta \right)}\)

Therefore;

\(tan\left(\dfrac{x}{2} \right)=\dfrac{1 - cos\left(x \right)}{sin \left(x \right)}\)

\(cot\left(x \right) = \dfrac{cos(x)}{sin(x)}\)

\(tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}\)

\(\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1-cos(x)+cos(x)}{sin(x)} = \dfrac{1}{sin(x)}\)

\(\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1}{sin(x)}=csc(x)\)

Therefore;

\(tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)} = csc(x)\)

The correct option that can be used to verify the identity is option C

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Answer:  

area = 2,142

perimeter = 70

Step-by-step explanation:

area = length x width x height

a=18 x 17 x 7

perimeter = all sides added together and assuming it is a rectangle...

p=18 + 18 + 17 + 17

Answer:

\(\huge\boxed{y=2x-2}\)

Step-by-step explanation:

The slope-intercept form of an equation of a line:

\(y=mx+b\)

m - slope

b - y-intercept → (0, b)

The formula of a slope:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

(x₁; y₁); (x₂; y₂) - points on a line

From the table we have

\((1,\ 0)\to x_1=1;\ y_1=0\\\\(2,\ 2)\to\ x_2=2;\ y_2=2\)

Substitute:

\(m=\dfrac{2-0}{2-1}=\dfrac{2}{1}=2\)

Put the value of a slope and coordinates of the point (1, 0) to the equation of a line:

\(0=2(1)+b\)

\(0=2+b\)          subtract 2 from both sides

\(-2=b\to b=-2\)

Finally we have:

\(y=2x-2\)

Answer:

  d.  (2, -4)

Step-by-step explanation:

The equation describes a circle centered at (2, -3) with a radius of 2.

Any points with an x-coordinate of 2 must have a y-coordinate in the interval -3±2 = (-1, -5) to be inside the circle. One such point is ...

  (2, -4) . . . . choice D

__

The attached graph shows the locations of the answer choices.

The option that is a representation that shows y as a function of x is the graph in option 2. The answer is B.

A function is any relation or table of values which may be represented in a graph that has only one possible y value that is assigned to each x-value.

The first option is not a function because x-value 0 has two corresponding y-values, 4 and 9.

In the third option, we also have two y-values, 5 and -5, that is assigned to one x-value, 0. So, it is not a function.

The graph in option 2 represents y as a function of x, because no two y-values is assigned to the same x-value.

The answer is: B.

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Answer:

3

Step-by-step explanation:

3 visually has the greatest slope  Distance / time = greatest speed...

Here are the speeds (as I read the graph, always double check my work)

1) is 10m / 4s  2.5 m/s

2) is 15m / 4s  3.75 m/s

3) is 30m / 2s  15 m/s

4) is 5m / 4s  1.25 m/s