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3 years ago

Evaluate the expression when n=-5. n^2+6n+7

Mathematics

2 answers:

mr Goodwill [35]3 years ago

8 0

The answer is precisely -33

Phoenix [80]3 years ago

4 0

It is 2)n6+ 47(58) that the answer

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A cake decorator rolls a piece of stiff paper to form a cone. She cuts off the tip of the cone and uses it as a funnel to pour d

Nimfa-mama [501]

Answer:

Step-by-step explanation:

Use the formula for volume of a cone

V = 1/3 pi r^2 (h)

V = 1/3 pi 66^2 (18)

V= 1/3 pi 4356(18)

V = 1/3 pi 78408

V = 1/3 264,201.12

V = 82,067.04cm^3

5 0

3 years ago

What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

telo118 [61]

Answer:

$f(x)=-\frac{1}{8}(x-3)^2+3$

Step-by-step explanation:

We want to find the equation of the parabola with a focus of $(3,1)$ and directrix $y=5$ .

Considering the directrix, the quadratic graph must open downwards.

The equation of this parabola is given by the formula,

$(x-h)^2=4p(y-k)$ , where $(h,k)$ is the vertex of the parabola.

The axis of this parabola meets the directrix at $(3,5)$ .

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,

$h=\frac{3+3}{2}=3$ and $k=\frac{5+1}{2}=3$ .

The equation of the parabola now becomes,

$(x-3)^2=4p(y-3)$ .

Also $|p|$ is the distance between the vertex and the directrix.

$|p|=2$

This implies that $p=-2\:or\:2$ .

Since the parabola turns downwards,

$p=-2$ .

Our equation now becomes,

$(x-3)^2=4(-2)(y-3)$ .

$(x-3)^2=-8(y-3)$ .

We make y the subject to get,

$y=-\frac{1}{8}(x-3)^2+3)$ .

This is the same as

$f(x)=-\frac{1}{8}(x-3)^2+3)$ .

4 0

3 years ago

Given directed line segment PR, find the coordinates of Q on PR such that the ratio of PQ to QR is 2:1.

Alekssandra [29.7K]

Answer:

4/3, -3

Step-by-step explanation:

4 0

3 years ago

PLEASE ANSWER Chelsea is budgeting for her trip to the mall. She does not want to spend any more than $140. If she wants to buy

Tcecarenko [31]

Let s equal the number of shirts she can buy

140 > $28.50 + $20.75s
111.50 > 20.75s
5.37 > s

so we round down. she can buy 5 shirts, plus the one dress and she would spend less than $140

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3 years ago

Convert 25 feet per second to miles per hour, with work show.

bulgar [2K]

we know there are 5280 feet in 1 mile, and there are 3600 seconds in 1 hour.

$\bf \cfrac{25 \underline{ft}}{sec}\cdot \cfrac{mi}{5280 \underline{ft}}\cdot \cfrac{3600 \underline{sec}}{hr}\implies \cfrac{25\cdot 3600}{5280}\cfrac{mi}{hr}\implies \cfrac{375}{22}\cfrac{mi}{hr}\implies 17.0\overline{45}\frac{mi}{hr}$

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3 years ago