Which of the following functions has a rate of change that stays the same?
A:y = 4x+10
B:y=-4x+10
C:y = 3^x
D:y = x² + 2​

Answer:

[tex]\huge\boxed{\sf 350\ g\ salami = 5.565}[/tex]

Step-by-step explanation:

From the question:

100 g salami = 1.59

Divide 100 to both sides

1 g salami = 1.59/100

1 g salami = 0.0159

Multiply both sides by 350

350 g salami = 0.0159 × 350

350 g salami = 5.565

[tex]\rule[225]{225}{2}[/tex]

#8

Vertex at (0,0)

#11

Same Vertex

#14

Vertex (0,2)

Step-by-step explanation:

by order

the 1st one y = 4x^2

vetex (0,0) and upward

the 2nd one y = -6x^2

vertex (0,0) and downward

the 3rd one y = -x^2 + 2

vertex (0,2) and downward

The required kite is flying at a height of approximately 45.02 meters to the nearest tenth of a meter.

To find the height at which the kite is flying, we can use trigonometry, specifically the tangent function. The tangent of the angle of elevation (42 degrees) is the ratio of the height (h) of the kite to the distance from Cynthia to the kite (50 meters).

The formula for the tangent of an angle is:

[tex]tan(angle) = opposite/adjacent[/tex]

In this case, the angle is 42 degrees, the opposite side is the height of the kite (h), and the adjacent side is the length of the string (50 meters).

[tex]tan(42^o) = h / 50[/tex]

To find the height (h), we can rearrange the equation:

[tex]h = 50 * tan(42^o)[/tex]

Now, let's calculate the height:

[tex]h =50 * tan(42^o)[/tex]

h ≈ 50 meters * 0.9004
h ≈ 45.02 meters (rounded to two decimal places)

So, the kite is flying at a height of approximately 45.02 meters to the nearest tenth of a meter.

Learn more about trigonometry here:

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Answer:

[tex]\dfrac{5(3+\sqrt{5})\sqrt{3-\sqrt{5}}}{4}[/tex]

[tex]\textsf{or}\quad \dfrac{5\sqrt{3+\sqrt{5}}}{2}[/tex]

Step-by-step explanation:

[tex]\textsf{Given expression}:\dfrac{5}{\sqrt{3-\sqrt{5}}}[/tex]

Method 1

[tex]\textsf{Multiply by the conjugate}\quad \dfrac{\sqrt{3-\sqrt{5}}}{\sqrt{3-\sqrt{5}}}:[/tex]

[tex]\implies \dfrac{5}{\sqrt{3-\sqrt{5}}} \times \dfrac{\sqrt{3-\sqrt{5}}}{\sqrt{3-\sqrt{5}}}=\dfrac{5\sqrt{3-\sqrt{5}}}{(\sqrt{3-\sqrt{5}})(\sqrt{3-\sqrt{5}})}[/tex]

Simplify the denominator using the radical rule [tex]\sqrt{a} \sqrt{a} =a[/tex]:

[tex]\implies (\sqrt{3-\sqrt{5}})(\sqrt{3-\sqrt{5}})=3-\sqrt{5}[/tex]

Therefore:

[tex]\implies \dfrac{5\sqrt{3-\sqrt{5}}}{(\sqrt{3-\sqrt{5}})(\sqrt{3-\sqrt{5}})}= \dfrac{5\sqrt{3-\sqrt{5}}}{3-\sqrt{5}}[/tex]

[tex]\textsf{Multiply by the conjugate}\quad \dfrac{3+\sqrt{5}}{3+\sqrt{5}}:[/tex]

[tex]\implies \dfrac{5\sqrt{3-\sqrt{5}}}{3-\sqrt{5}} \times \dfrac{3+\sqrt{5}}{3+\sqrt{5}}=\dfrac{5\sqrt{3-\sqrt{5}}(3+\sqrt{5})}{(3-\sqrt{5})(3+\sqrt{5})}[/tex]

Simplify the denominator:

[tex]\implies (3-\sqrt{5})(3+\sqrt{5})=9+3\sqrt{5}-3\sqrt{5}-5=4[/tex]

Therefore:

[tex]\implies \dfrac{5(3+\sqrt{5})\sqrt{3-\sqrt{5}}}{4}[/tex]

Method 2

[tex]\textsf{Multiply by the conjugate}\quad \dfrac{\sqrt{3+\sqrt{5}}}{\sqrt{3+\sqrt{5}}}:[/tex]

[tex]\implies \dfrac{5}{\sqrt{3-\sqrt{5}}} \times \dfrac{\sqrt{3+\sqrt{5}}}{\sqrt{3+\sqrt{5}}}=\dfrac{5\sqrt{3+\sqrt{5}}}{(\sqrt{3-\sqrt{5}})(\sqrt{3+\sqrt{5}})}[/tex]

Simplify the denominator using the radical rule [tex]\sqrt{a} \sqrt{b} =\sqrt{ab}[/tex]:

[tex]\implies (\sqrt{3-\sqrt{5}})(\sqrt{3+\sqrt{5}})=\sqrt{(3-\sqrt{5})(3+\sqrt{5})[/tex]

[tex]\implies\sqrt{(3-\sqrt{5})(3+\sqrt{5})}=\sqrt{9-5}=\sqrt{4}=2[/tex]

Therefore:

[tex]\implies \dfrac{5\sqrt{3+\sqrt{5}}}{2}[/tex]

[tex]\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]

To rationalise:-

[tex] \frac{5}{ \sqrt{3 - \sqrt{5} } } [/tex]

There is a formula in math if there is root in denominator

for example

[tex] \frac{1}{ \sqrt{a - b} } [/tex]

we can say rationalize by multiplying √(a-b) in numerator and denominator both

[tex] \frac{1}{ \sqrt{a - b} } \times \frac{ \sqrt{a - b} }{ \sqrt{a - b} } \\ \frac{ \sqrt{a - b} }{a - b} [/tex]

In here

[tex] \frac{5}{ \sqrt{3 - \sqrt{5} } } \times \frac{ \sqrt{3 - \sqrt{5} } }{ \sqrt{3 - { \sqrt{5} } } } \\ \frac{5( \sqrt{3 - \sqrt{5} }) }{3 - \sqrt{5} } [/tex]

but still here is root to remove this we have to multiply

3 + √5 in numerator and denominator.

[tex] \frac{5( \sqrt{3 - \sqrt{5} }) }{3 - \sqrt{5} } \times \frac{3 + \sqrt{5} }{3 + \sqrt{5} } \\ \frac{5( \sqrt{3 - \sqrt{5} })(3 + \sqrt{5} ) }{ {3}^{2} - { (\sqrt{5} )}^{2} } \\ \frac{5( \sqrt{3 - \sqrt{5} })(3 + \sqrt{5}) }{9 - 5} \\ \frac{5( \sqrt{3 - \sqrt{5} } )(3 + \sqrt{5}) }{4} [/tex]

Answer:

the answer is A

Step-by-step explanation:

410 is the total amount paid

so 50 dollars was a base fee for the service charge

and 90 was per tire. Because we dont know how many tires she bought 90 x number of tires(t) = 90t

so 410 dollars = 50 dollars(service fee) + 90 dollars ( multilied by number of tires "t")

Answer:

2 units

Step-by-step explanation:

Answer:

The answer is 2 units

Step-by-step explanation:

Answer:

21600/a

Step-by-step explanation:

800/a *9

7200/a

21600/a

First, times 800 divided by a by 9.

Then, we get 7200/a.

Lastly, times it by 3.

The answer is 21600/a

Sussy mcsuser
  Poop noobs

In the context of the least squares procedure, any data point that does not fall on the regression line is the result of multicollinearity.

A least square regression simply shows the linear relationship that exist between two variables.

Here, in the context of the least squares procedure, any data point that does not fall on the regression line is the result of multicollinearity.

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Answer:

Step-by-step explanation:

4x + 4y = -37

2x + 5y = -17

we are told to use elimination ,   instead of substitution,

meaning get rid of the x or y  in one of the equations.

Part C :   let's multiply (2x + 5y = -17 ) *  (-2)  so we get

-4x - 10y = 34    , then add

4x + 4y = -37

0x -6y = -3      now we have only one variable ,  y

because both sides have a minus sign, we can just drop it

6y = 3   ( divide both sides by 6)

y = 3/6

Part B : y = 1/2    we now know y

plug in the y value into  1st equation.

4x + 4(1/2) = -37

now solve for x

4x + 2 = -37

4x = -39

Part A :  x = - 39/4

Answer:

a = 2a(- 1)

Step-by-step explanation:

I have done the maths

Answer:

1,001

Step-by-step explanation:

13ft X 11ft X 7ft = 1,001
Not sure if its correct but im glad to help atleast

Answer:

68 is the perimeter.

Step-by-step explanation:

You can find the perimeter by adding up all of the sides. 13 + 11 + 3 + 7 = 34. To find the other sides of the shape you do 11 + 7 and 13 + 3. 11 + 7 = 18. 13 + 3 = 16. 18 + 16 = 34. 34 + 34 = 68.

Answer:

~150.8

Step-by-step explanation:

surface area of a cylinder=2 pi r h + 2 pi r²

[tex]\large{\boxed{\mathfrak\pink{\fcolorbox{pink}{pink}{Answer:-}}}}[/tex]

→ POINTS TO BE NOTED

nd, to find Surface area of cylinder there is one formula

[tex] \pink{ \boxed{ \sf2 \pi \: r(h + r)}}[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]

★Here

★ Let's solve:-

[tex] \sf \: ↦2 \pi \times 3(5 + 3) \\ \sf \:↦ 2\pi \times 15 + 9 \\ \sf \:↦ 2\pi \times 24 \\ \sf \: ↦48\pi\:cm²[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}}\orange{ \rule18mm{2.5pt}}[/tex]

Hence;

The distance between Casey and the base of the lighthouse is 49 ft.

The angle of elevation refers to the angle formed by the straight horizontal line and an object. The crosshair of an observer is usually above the horizontal. 

The angle of depression is the angle formed by the horizontal and a downward angle to an object. The crosshair of an observer is usually above below the horizontal.

The distance between Casey and the base of the lighthouse can be determined by using the tangent of trigonometry.

(TOA)

[tex]\mathbf{tan \theta = \dfrac{opp}{adj}}[/tex]

[tex]\mathbf{tan \ 58 = \dfrac{78}{x}}[/tex]

[tex]\mathbf{x= \dfrac{78}{1.6003}}[/tex]

x ≅ 49 ft

The height of the goal post can be determined by using the tangent of trigonometry.

[tex]\mathbf{tan \theta = \dfrac{opp}{adj}}[/tex]

[tex]\mathbf{tan 17 = \dfrac{x}{131}}[/tex]

x = (tan 17) × 131

x = 0.3057 × 131

x ≅ 40 ft

The horizontal distance between Zack and the water fountain is calculated by using the tangent of trigonometry.

[tex]\mathbf{tan \theta = \dfrac{opp}{adj}}[/tex]

[tex]\mathbf{tan \ 28 = \dfrac{75}{x}}[/tex]

[tex]\mathbf{x = \dfrac{75}{0.5317}}[/tex]

x = 141 ft

Learn more about the angle of elevation and depression here:

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Answer:

See below ~

Step-by-step explanation:

The equation which represents 1/12 :

The division equation which represents 1/14 :

Answer:

Question 3:

C) 1 divided by 12 _

Question 4:

A) 1 divided by 14 _

The expression (3xy) is an algebraic expression

The equivalent expressions of (3xy) are (6xy)/2 and (9xy)/3

The expression is given as:

(3xy)

Multiply by 2/2

(3xy) = (6xy)/2

Multiply by 3/3

(3xy) = (9xy)/3

The above products means that, we multiply the expression by 1 (i.e. n/n) to get an equivalent expression

Hence, the equivalent expressions of (3xy) are (6xy)/2 and (9xy)/3

Read more about equivalent expressions at:

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Answer:

  $359.42

Step-by-step explanation:

The difference in the investment values can be computed by making use of the formulas for the account balance in each case.

  compound interest: A = P(1 +r)^t . . . . interest at rate r compounded annually

  simple interst: A = P(1 +rt) . . . . simple interest at rate r

__

The account earning simple interest will have a balance of ...

  A = $8000(1 +0.12×3) = $10,880

The account earning compound interest will have a balance of ...

  A = $8000(1 +0.12)^3 ≈ $11,239.42

The difference between the two investments is ...

  $11,239.42 -10,880 = $359.42

https://brainly.com/question/14438192

Answer:

1.12 ≤ x ≤ 34.18

Step-by-step explanation:

This constraint ensures that the number of tires produced, represented by x, falls within the range where the production costs, represented by C(x), are below $75,000.

Answer:

The base is 3.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

4 5/6 or 29/6

Step-by-step explanation:

Conversion a mixed number 8 1/

4

to a improper fraction: 8 1/4 = 8 1/

4

= 8 · 4 + 1/

4

= 32 + 1/

4

= 33/

4

To find a new numerator:

a) Multiply the whole number 8 by the denominator 4. Whole number 8 equally 8 * 4/

4

= 32/

4

b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33

c) Write a previous answer (new numerator 33) over the denominator 4.

Eight and one quarter is thirty-three quarters

Conversion a mixed number 3 5/

12

to a improper fraction: 3 5/12 = 3 5/

12

= 3 · 12 + 5/

12

= 36 + 5/

12

= 41/

12

To find a new numerator:

a) Multiply the whole number 3 by the denominator 12. Whole number 3 equally 3 * 12/

12

= 36/

12

b) Add the answer from previous step 36 to the numerator 5. New numerator is 36 + 5 = 41

c) Write a previous answer (new numerator 41) over the denominator 12.

Three and five twelfths is forty-one twelfths

Subtract: 33/

4

- 41/

12

= 33 · 3/

4 · 3

- 41/

12

= 99/

12

- 41/

12

= 99 - 41/

12

= 58/

12

= 2 · 29/

2 · 6

= 29/

6

Answer:

65 - 80 = -15

7 - 5 = 2

which is -15/2

which is A

Answer:

THE ANSWER IS “your net worth”

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

When you multiply 12 by itself its 144.

I hope it helps! Have a great day!

pan~

Answer:

12

Step-by-step explanation:

Divide 144 by 2 and it’s 12.

Or you could guess and check b dividing each number by itself until you get 144.

I hope it helps! Have a great day!

Muffin °-°

Answer:

c.) 36

Step-by-step explanation:

The triangle was reduced by 36 inches

Answer:

y=x+12, add 12

Step-by-step explanation:

To get from each x to y you have to add 12

so the equation is:

y=x+12

Answer: 125

Step-by-step explanation:

edit; found the wrong thing lol

Answer:

A, 12ft, 16ft, 20ft.

Step-by-step explanation:

3,4,5 Triangles are right triangles, Answer A on the Paper says 12:16:20 which is proportinate to said ratio, hence the answer is A