Does the function ƒ(x) = 7x + 3 represent exponential growth, decay, or neither?

Answer:

Step-by-step explanation:

expression for surface area = a² + a √(a²/4+h²)

=4² + 2(4) √(4²/4+5²)

=16 + 8  √(16/29)

= 24 √0.55

= 20.65

Answer:

(x−3)(x+8)

Step-by-step explanation:

The middle number is 5 and the last number is -24.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 5

Multiply together to get -24

Can you think of the two numbers?

Try -3 and 8:

-3+8 = 5

-3*8 = -24

Fill in the blanks in

(x+_)(x+_)

with -3 and 8 to get...

(x-3)(x+8)

Answer:

5

Step-by-step explanation:

Firstly, I'm not from the USA so I'm not sure if I've understood the question correctly (different phrasing of the question here in the UK), but I hope I've done this right and this helps! :)

Method 1:

I would draw the graph! It makes it easier to visualise. You don't have to do a neat proper graph, just scribble something down. If you then count the number of squares between point A and point B you would get 5.

Method 2:

This is probably a more MATHEMATICAL method, but I think Method 1 or Method 2 are both fine. Since we are only asked about point A and point B, we don't have to think about points C or D. Since this is a rectangle, we know that the line would be straight and would also likely be perpendicular / parallel to the x or y axis. If we compare the coordinates of points A and B, we can see that they both have -6 in them: this shows us that these points are along the same row. So all you have to do is find the difference between the tow other points, i.e. the -8 in A and the -3 in B. -3 minus -8 = 5. So that gives you the length of the side.

I hope this helped, sorry for the lengthy explanation and slightly dodgy vocabulary (?).

Bluey

Answer:

Step-by-step explanation:

You could use distance formula to find the length

A( -8, -6) ; B(-3,-6)

Distance= [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]AB =\sqrt{(-3-[-8])^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(-3+8)^{2}+(-6+6)^{2}}\\\\= \sqrt{(5)^{2}+0}\\\\= \sqrt{5^{2}}\\[/tex]

AB = 5 units

Answer:

ab² - a²b

Step-by-step explanation:

a²b⁴ - b²a⁴ can be factored as a²b²(b² - a²) which becomes a²b²(b + a)(b - a). Since the numerator and denominator both have (a + b) and ab the final answer is ab(b - a) = ab² - a²b.

Answer:

[tex]5 \frac{1}{3}[/tex] degrees per hour.

Step-by-step explanation:

If we know that the temperature fell 4 degrees in [tex]\frac{3}{4}[/tex] of an hour, we can set up a proportion to see how much fell in an hour.

[tex]\frac{4}{0.75} = \frac{x}{1}[/tex]

[tex]4 \cdot 1 = 4\\4 \div 0.75 = 5.\overline{33}[/tex]

[tex]5.\overline{33}[/tex] as a fraction is [tex]5 \frac{1}{3}[/tex].

So, the temperature fell at a rate of [tex]5 \frac{1}{3}[/tex]  degrees per hour.

Hope this helped!

Answer:

5 1/3

Step-by-step explanation:

Step-by-step explanation: aumentado pois ele define uma certa quantidade de aumentação

Answer: 109.1 degrees

Step-by-step explanation:

To find the angle between the given vectors, we will use the formula below:

Cos(θ) = (U.V)/ |U|.|V|

Where

U = 13i - 8j

V = 2i + 9j

U.V = (2x13) + (-8×9)

U.V = 26 - 72

U.V = - 46

|U| = sqrt ( 13^2 + 8^2)

= sqrt ( 233) = 15.264

|V| = sqrt( 2^2 + 9^2)

= sqrt ( 85 ) = 9.22

Substitute all the value of the parameters into the formula

Cos ø = -46 / (15.3 × 9.2)

Cos ø = - 46 / 140.72

Cos Ø = - 32687

Find the cos inverse of the value

Ø = cos^-1( -32687)

Ø = 109.079 degrees

Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees

Answer:

The temperature order are;

(b) 96.62 K = (d) 96.62 K > (a) 48.31 K = (c) 48.31 K = (e) 48.31 K =  (f) 48.31 K

Arrangement in order from highest to lowest and alphabetically gives;

(b) ↔ (d) → (a)↔ (c)↔ (e)↔ (f)

Step-by-step explanation:

From the universal gas equation

P×V = N×k×T

Where:

P = Pressure

V = Volume

N = Number of molecules

k = Boltzmann constant = 1.38 × 10⁻²³ J/K

T = temperature

Therefore;

[tex]T =\dfrac{P \times V}{k \times N}[/tex]

Which gives;

(a) When P = 100 kPa = 100,000 Pa, V = 4 L = 0.004 m³, N = 6 × 10²³, we have

100000*0.004/(6*10^(23)*1.38*10^(-23)) = 48.31 K

(b) When P = 200 kPa = 200,000 Pa, V = 4 L = 0.004 m³, N = 6 × 10²³, we have

200000*0.004/(6*10^(23)*1.38*10^(-23)) = 96.62 K

(c) When P = 50 kPa = 50,000 Pa, V = 8 L = 0.008 m³, N = 6 × 10²³, we have

50000*0.008/(6*10^(23)*1.38*10^(-23)) = 48.31 K

(d) When P = 100 kPa = 100,000 Pa, V = 4 L = 0.004 m³, N = 3 × 10²³, we have

100000*0.004/(3*10^(23)*1.38*10^(-23)) = 96.62 K

(e) When P = 100 kPa = 100,000 Pa, V = 2 L = 0.002 m³, N = 3 × 10²³, we have

100000*0.002/(3*10^(23)*1.38*10^(-23)) = 48.31 K

(f) When P = 50 kPa = 50,000 Pa, V = 4 L = 0.004 m³, N = 3 × 10²³, we have

50000*0.004/(3*10^(23)*1.38*10^(-23)) = 48.31 K

Answer:    [tex]f'(1)=\dfrac{4}{2y+1}[/tex]

Step-by-step explanation:

To find the tangent, you need to find the derivative with respect to x.

Then substitute x = 1 into the derivative.

Given:         0 = 2x² - xy - y²

Derivative:  0 = 4x - y' - 2yy'

Solve for y': 2yy' + y' = 4x

                   y'(2y + 1) = 4x

                   [tex]y'=\dfrac{4x}{2y+1}[/tex]

[tex]\text{Substitute x = 1:}\quad y'(1)=\dfrac{4}{2y+1}[/tex]

Answer:

x ≤ -1

Step-by-step explanation:

The domain is the x-values.  Since the graph shows all numbers up to -1, the domain would be all numbers less than or equal to -1:

x ≤ -1

Answer:

  see below for a table; see second attachment for a graph

Step-by-step explanation:

Each of the distance values in km in the table will be 3 times the time value in hours.

The slope of the line on the graph is 3. The practical domain of the distance function is 0 to 5 hours.

━━━━━━━☆☆━━━━━━━

▹ Answer

24

▹ Step-by-Step Explanation

2³ + 4²

= 2 * 2 * 2 → 8

= 4 * 4 → 16

8 + 16 = 24

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

24

Step-by-step explanation:

2³ + 4²

Solve for exponents first.

2³ = 2 × 2 × 2 = 8

4² = 4 × 4 = 16

8 + 16

Addition.

= 24

Answer:

First part) measuring each plant at the same time each week

Second part) centimeters and the same

Step-by-step explanation:

Answer:

These heights could have been measured by measuring each plant at the same time each week.

The unit of measure for the heights is centimeters. The units must be the same for each data point in order to compare the rates of growth.

Answer: I'm sure it describes experimental events? Is that an option? Because he's experimenting by flipping the coin. If not, just contact me! :)

Here and happy to help.

Answer:

Step-by-step explanation:

Let the equation of the exponential function is f(x) = a(b)ˣ

Two points (-2, 4) and (-1, 2) lie on the graph,

For (-2, 4),

By substituting the values in the given function,

[tex]4=a(b)^{(-2)}[/tex]

[tex]4=\frac{a}{b^{2} }[/tex] ------(1)

For second point (-1, 2),

[tex]2=a(b)^{-1}[/tex]

[tex]2=\frac{a}{b}[/tex] -----(2)

Dividing equation (1) by equation (2),

[tex]\frac{4}{2}=\frac{\frac{a}{b^2}}{\frac{a}{b} }[/tex]

[tex]2=\frac{a}{b^{2}}\times \frac{b}{a}[/tex]

[tex]2=\frac{1}{b}[/tex]

b = [tex]\frac{1}{2}[/tex]

From equation (1),

[tex]4=\frac{a}{(\frac{1}{2} )^2}[/tex]

4 = 4a

a = 1

Therefore, equation of the exponential function will be,

f(x) = [tex]1.(\frac{1}{2})^{x}[/tex]

[tex]f(x)=(\frac{1}{2})^x[/tex]

Option (A) will be the answer.

Answer:Answer:

Option (A)

Step-by-step explanation:

Let the equation of the exponential function is f(x) = a(b)ˣ

Two points (-2, 4) and (-1, 2) lie on the graph,

For (-2, 4),

By substituting the values in the given function,

------(1)

For second point (-1, 2),

-----(2)

Dividing equation (1) by equation (2),

b =

From equation (1),

4 = 4a

a = 1

Therefore, equation of the exponential function will be,

f(x) =

Option (A) will be the answer.

Step-by-step explanation:

The answer is in the picture

Answer:

its not a right triangle

Step-by-step explanation:

Example: we have a 2 by 3 rectangle with area of 2*3 = 6. If we cut the first dimension in half, then we have a 1 by 3 rectangle that has area 1*3 = 3. The area has decreased. To keep the area the same, we would have to increase the other dimension some specific amount.

The area of the figure decreases when the dimension is decreased

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the figure be represented as ABCD

where ABCD is a rectangle

Now , the measures of the sides of the rectangle be

The length of the rectangle = L

The width of the rectangle = W

And , Area of Rectangle = Length x Width

On simplifying , we get

Area of rectangle = LW

when the dimension of one of the unit is decreased , we get

when L = L/2

Area of rectangle = ( LW) / 2

So , the area of the figure is decreased bu ( 1/2 )

Hence , the area of the figure decreases

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ3

Answer:  see Steps 1 - 5 (attached)

Step-by-step explanation:

I completed #1 for you. Each image shows one of the steps.

Follow the exact same steps to complete #2 - #5

#6 asks for a double angle.  

Add an extra item to step 3: Draw an arc from vertex through the line  

--> then draw another arc from B' to the other side of your line (away from the dot) and label that intersection as B''.  Use the measure of the vertex to B'' for the remaining steps.

If you need step-by-step images, you will need to post #6 separately as I can only upload 5 images per question.

Answer:

figure d is congruent to the figure given above.

The figure that is congruent to the shape labeled with an asterisk (*) will be figure 'd'. Then the correct option is B.

Picture, after translation, refers to the object's ultimate organization and placement. From just before the refers to the material's initial condition.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The figure is the semicircle is rotated, then the orientation of the semicircle is just changed.

Then the figure that is congruent to the shape labeled with an asterisk (*) will be figure 'd'. Then the correct option is B.

More about the transformation of the shape link is given below.

https://brainly.com/question/27224339

#SPJ2

Answer:

Statement 1. P

Reason 1. Theorem: The measure of an external angle of a triangle is equal to the sum of the measures of the remote interior angles.

Statement 2. 132 = 3x + 54

Statement 3. x = 26

Answer:

1.5

Step-by-step explanation:

[tex]y \: \alpha \: \frac{1}{x} [/tex]

y = k ÷ x

yx = k

y = 6 , x = 3

6 • 3 = k

18 = k

when y = 12 , x = ?

yx = k

12x = 18

x = 18÷12

x = 3/2

x = 1.5

Answer: z score is -19

Work Shown:

x = 22 is the raw score

mu = 60 is the mean

sigma = 2 is the standard deviation

z = (x-mu)/sigma = formula to find z scores

z = (22 - 60)/2

z = -38/2

z = -19

The z score of -19 means we are 19 standard deviations below the mean. Anything beyond 3 standard deviations is often considered unusual/rare as most of the data in the normal distribution is within 3 standard deviations (approximately 99.7% of the distribution)

Answer: NO

Step-by-step explanation:

The functions that models the height of the ball is given as

h(t) = -5t2 + 40t + 100

Where

a = -5, b = 40, c = 100

The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:

t = -b/2a

Substitute b and a into the formula above.

t = - 40 / -5 = 8

Substitute 8 for t in the function f(t)

h(t) = - 5(8)^2 + 40(8) + 100

h(t) = -5(64) + 40(8) + 100

Open the bracket

h(t) = -320 + 320 + 100

h(t) = 100

The maximum height of the ball is 100m

Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres

Answer:

The answer is option A

Step-by-step explanation:

[tex]5 \frac{3}{7} [/tex]

Can be written as

[tex] \frac{38}{7} [/tex]

Hope this helps you

Answer:

38/7

Step-by-step explanation:

question: 5*3/7

      we should first cross multiply 5 with 7 and add the 3 to the product.

      the formula for solving any question like this is :-

               ( whole no. multiplied with denominator ) + numerator

                                                 denominator

           here:   (5*7)+3

                           7

Answer:

here the answer is down below

Step-by-step explanation:

Answer:

A (x+2)(x^2-2x+4)

Step-by-step explanation:

just took test

Complete question :

In its first year of operations, Roma Company reports the following. Earned revenues of $53,000 ($45,000 cash received from customers). Incurred expenses of $29,500 ($23,050 cash paid toward them). Prepaid $8,750 cash for costs that will not be expensed until next year. calculate the first year's net income under both the cash basis and the accrual basis of accounting.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Earned revenue = $53,000

Cash received from customers = $45000

Incurred expenses = $29,500

Cash paid towards incurred expenses = $23,050

Cash which will not be expensed till next year = $8,750

Cash Accounting:

Cash received $45,000

Expenses ($23,050 + $8750) = $31,800

Net Income $(45,000 - 31,800) = $13,200

Accrual Accounting :

Revenue earned $53,000

Expenses incurred $29,500

Net income $(53,000 - 29,500) = $23500

Answer:

Marilyn likes classical

Donna and Valr likes either pop or hiphop

Answer:

Step-by-step explanation:

Let the numbers be x and y

Sum = x + y

Sum = one number + 20

[tex]x + y = x + 20[/tex]

Cancel equal terms on both sides of the equation.

[tex]y = 20[/tex]

Again,

Finding another number

Sum = other number + 18

[tex]x + y = y + 18[/tex]

Cancel equal terms on both sides of the equation

[tex]x = 18[/tex]

Hence, The two numbers are 18 and 20.

Hope this helps..

Best regards!

Answer:

Whenever  [tex]a\leq 5[/tex].

Step-by-step explanation:

We can play around with some numbers and develop some rules for this equation.

Note that the number 5 and -5 are used here, so let's try using 5 as a.

[tex]|5-5| = 5-5\\|0| = 0\\0 = 0[/tex]

So 5 works. Let's try a random number like 3.

[tex]|3-5| = 5-3\\|-2| = 2\\2 = 2[/tex]

Okay, with this info we know that we might be able to develop one rule that [tex]a<5[/tex]. Just to test, let's try 0, -3, and -5.

[tex]|0-5| = 5-0\\|-5| = 5\\5 = 5[/tex]

Zero works.

[tex]|-3 - 5| = 5-(-3)\\|-8| = 8\\8 = 8[/tex]

-3 works.

[tex]|-5 -5| = 5-(-5)\\|-10| = 10\\10 = 10[/tex]

-5 works. Now, this might stop here making the equation [tex]-5 \geq a \leq 5[/tex], so let's test a number outside of -5 - say -20.

[tex]|-20 - 5| = 5-(-20)\\|-25| = 25\\25 = 25[/tex]

Yes! This works, so a works for this equation as long as [tex]a \leq 5[/tex].

Hope this helped!