Translate the sentence into an equation. Six less than the quotient of a number and 5 is 10

Answers

Answer 1
Answer: n/5 - 6 = 10; "a number" is represented by n and it is divided by 5, then you add six to it, and the equation on the left is equal to 10

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On the average, a certain light bulb is supposed to last 450 hours. If itcan expect to finish reading during the life of the bulb?

Answers

Answer:

72 novels

Step-by-step explanation:

A number of assumptions are involved regarding operating environment, utilization fraction, and probability of failure as a function of time. The precise meanings of the words "average", "supposed to last", "maximum", and "expect" are involved. The details are too arcane to go into here.

 (450 hours)/(6 1/4 hours/novel)

 = (450/(25/4)) novels

 = (450*4/25) novels

 = 72 novels

What is a solid figure without any bases and with only one curved surface

Answers

the answer is cir le or sphere
for example it would be ellipsoid  or sphere

The line tangent to the graph of g(x) = x^{3}-4x+1 at the point (2, 1) is given by the formulaL(x) = 8(x - 2) + 1.


Which of the following statements are true? Select all that apply.
A. The functions are approximately equal on the interval 1.9 smaller than or equal to x larger than or equal to 2.1.
B. The functions have the same y-intercept.
C. The slope of the line equals g'(0).
D. The functions are approximately equal on the interval 0.5 smaller than or equal to x larger than or equal 1.0.
E. The graphs intersect at the point (2,1).
F. The slope of the line equals g'(2).
G. None of the above are true.

Answers

Using function concepts, it is found that the correct options are:

  • A. The functions are approximately equal on the interval 1.9 smaller than or equal to x larger than or equal to 2.1.
  • E. The graphs intersect at the point (2,1).
  • F. The slope of the line equals g'(2).

-------------------------------------------

  • The value of x we are interested is x = 2, thus, considering a margin, the functions are approximately equal between x = 1.9 and x = 2.1, which means that option A is correct, while option D is not.
  • The y-interceptof g is g(0) = 0^3 - 4(0) + 1 = 1, while the y-intercept of L is L(0) = 8(0 - 2) + 1 = -16 + 1 = - 15. Not the same, thus, option B is not correct.
  • The slope of the tangent line to g at x = 2 is the derivative of g at x = 2, that is, g'(2), thus option F is correct while option C is not.
  • At (2,1), the g(x) and L(x) intersect, thus, option E is correct.

A similar problem is given at brainly.com/question/22426360

well, about A and D, I just plugged the values on the slope formula of

\bf \begin{array}{llll} g(x)=x^3-4x+1\n L(x) = 8(x-2)+1 \end{array} \qquad \begin{cases} x_1=1.9\n x_2=2.1 \end{cases}\implies \cfrac{f(b)-f(a)}{b-a}

for A the values are 8.01 and 8.0, so indeed those "slopes" are close. \textit{\huge \checkmark}

for D the values are -2.25 and 8.0, so no dice on that one.

for B, let's check the y-intercept for g(x), by setting x = 0, we end up g(0) = 0³-4(0)+1, which gives us g(0) = 1.

checking L(x) y-intercept, well, L(x) is in slope-intercept form, thus the +1 sticking out on the far right is the y-intercept, so, dice. \textit{\huge \checkmark}

for C, well, the slope if L(x) is 8, since it's in slope-intercept form, the derivative of g(x) is g'(x) = 3x² - 4, and thus g'(0) = -4, so no dice.

for E, do they intercept at (2,1)?  well, come on now, L(x) is a tangent line to g(x), so that's a must for a tangent. \textit{\huge \checkmark}

for F, we know the slope of the line L(x) is 8, is g'(2) = 8?  let's check

recall that g'(x) = 3x² - 4, so g'(2) = 3(2)² - 4, meaning g'(2) = 8, so, dice. \textit{\huge \checkmark}

Translate the following sentence to an inequalityit's colder than -2 F outside right now

Answers

C is cold tempature 

c< -2 F
Let temperature = T

T < -2

If the perimeter of a square is 40 mm how long is each side of the square

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They are all 10mm long because 10*4 is 40mm so hoped I helped
Since the perimeter of the square is 40 then you will divide 40 by 4 wich will equal 10, so each side of the square is 10 mm long.

My Work:

40/4= 10
10+10+10+10=40 or 10x4=40 

A store sells 2 1/4 pounds of mulch for every 1 1/2 pounds of gravel sold. The store sells 180 pounds of mulch and gravel combined. How many pounds of each item does the store sell?

Answers

Answer:

The pounds of mulch the store sells are 108 and the pounds of gravel the store sells are 72.

Step-by-step explanation:

Let

x -----> pounds of mulch the store sells

y ----> pounds of gravel the store sells

we know that

x+y=180 -----> equation A

Remember that

2(1)/(4)\ lb=(2*4+1)/(4)=(9)/(4)\ lb

1(1)/(2)\ lb=(1*2+1)/(2)=(3)/(2)\ lb

so

(x)/(y)=((9/4))/((3/2))

(x)/(y)=(3)/(2)

x=(3)/(2)y -----> equation B

solve the system by substitution

substitute equation B in equation A

(3)/(2)y+y=180

solve for y

(5)/(2)y=180

y=180(2)/5\ny=72

Find the value of x

x=(3)/(2)(72)=108

The solution is the ordered pair (108,72)

therefore

The pounds of mulch the store sells are 108 and the pounds of gravel the store sells are 72.