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3 years ago

Translate 5x+7 ≥2 into a verbal sentence

Mathematics

1 answer:

Vsevolod [243]3 years ago

3 0

Answer: The sum of five times a number and seven is greater or equal to two

Step-by-step explanation:

Hi, to answer this question we have to analyze the expression given:

5x is a multiplication, in this case five times the number x.

The symbol + represents a sum of two numbers.

≥ means greater or equal to ( left to right)

The sum of five times a number and seven is greater or equal to two

Feel free to ask for more if needed or if you did not understand something.

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1) If y = x3 + 2x and dx/ dt = 5, find dy/dt when x = 2. Give only the numerical answer. For example, if dy, dt = 3, type only 3

Semenov [28]

Answer:

a) 70

b) 10π ft²/ft

c) 0.24 ft/sec

Step-by-step explanation:

1) y = x³ + 2x

$\frac{dy}{dt}=\frac{d(x^3+2x)}{dt}$

$\frac{dy}{dt}$ = $3x^2\frac{dx}{dt}+2\frac{dx}{dt}$

at $\frac{dx}{dt}=5$ and x = 2

$\frac{dy}{dt}$ = $3(2)^2\times(5)+2\times(5)$

$\frac{dy}{dt}$ = 60 + 10 = 70

2) A = πr² ft²

$\frac{dA}{dr}=\frac{d(\pi r^2)}{dr}$

$\frac{dA}{dr}$ = 2(πr)

at r = 5 ft

$\frac{dA}{dr}$ = 2(π × 5) ft²/ft

$\frac{dA}{dr}$ = 10π ft²/ft

3) From Pythagoras theorem

Base² + Perpendicular² = Hypotenuse²

Thus,

B² + P² = H² .............(1)

here, H = length of the ladder

P is the height of the wall

B is the distance from the wall at bottom

B² + P² = 25² ...........(1)

at B = 20 ft

20² + P² = 25²

P² = 625 - 400

P = √225

P = 15 ft

differentiating (1) with respect to time, we get

$2B\frac{dB}{dt}+2P\frac{dP}{dt}=0$

at B = 20 ft, $\frac{dB}{dt} = 0.18$ and P = 15 ft

⇒ 2(20)(0.18) + $2(15)\frac{dP}{dt}$ = 0

$30\frac{dP}{dt}$ = - 7.2

$\frac{dP}{dt}$ = - 0.24 ft/sec (Here negative sign depicts the ladder slides down)

7 0

4 years ago

Im really struggling with this, i need A on this test please help me!

taurus [48]

The volume of the square pyramid is 600cm^3

8 0

3 years ago

Read 2 more answers

Steve opens a bank account. The amount, in dollars, in the account x weeks after the account is opened can be modeled by functio

ANTONII [103]

The missing options are:

$A.\ f(20) =5,000$

$B.\ f(5000) = 20$

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

D. In the xy plane, point (5,000,20) is on the graph y = f(x)

Answer:

$A.\ f(20) =5,000$

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

Step-by-step explanation:

Given

Represent amount with y and weeks with x

So, we have:

x = 20 when y = 5000

Required

Select 2 correct options

A point on a graph can be illustrated using $(x,y)$

So, when x = 20 and y = 5000 ----- given

$(x,y)$ implies that:

$(x,y) = (20,5000)$

We got $(20,5000)$ by substituting 20 for x and 5000 for y

From the list of given options, the above represented of (x,y) is illustrated in option C

Represent (x,y) as a function, we have:

$y = f(x)$

Substitute values for x and y

$5000 = f(20)$

Reorder

$f(20) = 5000$

The above is illustrated in option A

Hence, A and C answers the question

3 0

3 years ago

PLEASE HELP!!!!!!! Find the Volume of the sphere rounded to the nearest hundredth

Volgvan

Answer:

14130 yd^3

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

The diameter is 30 so the radius is d/2 = 30/2 = 15

V = 4/3 pi (15)^3

V = 4500 pi

Letting pi = 3.14

V = 14130 yd^3

5 0

3 years ago

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Determine the relationship between the two triangles and whether or not they can be proven to be congruent.

Jlenok [28]

Answer:

only five points uneceptableeeeee

6 0

3 years ago