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zepelin [54]
3 years ago
14

Nadia's father bought a new camera,lens, and case. He rounded the cost of all the items to estimate how much money he would need

. He rounded the cost of the camera to $800,the cost of the lens to $500, and the cost of the case to $200. The actual cost of all three was 1,489. What could the actual cost of all three items be? Show your work answer for camera,lens,case
Mathematics
1 answer:
mel-nik [20]3 years ago
6 0
799, 499, and 191. (I got it off the textbook online.)
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Evaluate the difference quotient for the given function.
kherson [118]

Assuming you mean f(t) = g(t) × h(t), notice that

f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)

Then the difference quotient of f is

\dfrac{\frac12 \sin(2(t+h)) - \frac12 \sin(2t)}h = \dfrac{\sin(2t+2h) - \sin(2t)}{2h}

Recall the angle sum identity for sine:

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

Then we can write the difference quotient as

\dfrac{\sin(2t)\cos(2h) + \cos(2t)\sin(2h) - \sin(2t)}{2h}

or

\boxed{\sin(2t)\dfrac{\cos(2h)-1}{2h} + \cos(2t)\dfrac{\sin(2h)}{2h}}

(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)

7 0
2 years ago
Which graph represents the function f(x) = |x + 3| ?
romanna [79]

Answer:

Step-by-step explanation:

Si haces una fracción buscando su denominador te da resultados

3 0
2 years ago
The front of a tent is an equilateral triangle with the ratio of its base, b, to its height, h, given by b/h=2/√ 3 . Which equat
Agata [3.3K]
Picturing the tent helps, but we can actually solve this question using simple algebra and no knowledge of triangles. 
The key is this function:
(b/h) = 2/√3  
We want to get h by itself. First, multiply both sides by h:
b = h(2/√3)       Now multiply both sides by the reciprical, (√3/2)
(√3/2) b = h

Therefore, the answer is C) h= b(√3/2)
3 0
3 years ago
What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
vova2212 [387]

we know that

if two lines are perpendicular, then the product of their slopes is equal to minus one

so

m1*m2=-1

Step 1

<u>Find the slope of the given line</u>

we have

3y=-4x+2

Solve for y

Divide by 3 both sides

3y/3=(-4x+2)/3

y=-\frac{4}{3}x+ \frac{2}{3}

the slope of the given line is m1=-\frac{4}{3}

Step 2

<u>Find the slope  of a line that is perpendicular to the given line</u>

we have

m1=-\frac{4}{3}

m1*m2=-1

m2=-1/m1

substitute the value of m1

m2=-1/(-4/3)=\frac{3}{4}

therefore

<u>the answer is</u>

the slope is \frac{3}{4}

4 0
3 years ago
6. What is the Greatest Common Factor of 45<br> and 60?<br> 14560
bazaltina [42]

Answer:

15  15 goes into 45 5 times and 60 5 times. highest number that goes into both numbers evenly

5 0
3 years ago
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