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3 years ago

Cora read one sixth of her book on day one. She read one fourth of her

Mathematics

2 answers:

kogti [31]3 years ago

7 0

Answer:

$\frac{5}{12}$

Step-by-step explanation:

$\frac{1}{6}$ + $\frac{1}{4}$ = finding common denominator which is 12. so multiply both sides with what makes them 12 ...... $\frac{1}{6}$ $\frac{2}{2}$ & $\frac{1}{4}$ $\frac{3}{3}$ then add = $\frac{5}{12}$

sergij07 [2.7K]3 years ago

5 0

The answer is 5/12 your welcome !

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Match the base to the corresponding height

Black_prince [1.1K]

The are both equal bc you use the graphing method or I was taught that

8 0

3 years ago

Drag the labels to the correct locations on the table. Not all labels will be used.

luda_lava [24]

For f(x) = cos(x) we have:

midline = 0
amplitude = 1
period = 2π
graph = bottom graph on the second image.

<h3>What are the midline, amplitude, period, and graph of the function f(x)=cos(x)?</h3>

For a general cosine function, we have:

f(x) = A*cos(kx + p) + M

Where:

A is the amplitude.
k is the frequency.
p is the phase.
M is the midline.

For the function:

f(x) = cos(x).

We can see that:

A = 1, M = 0, k = 1, p = 0.

So, the amplitude is equal to 1, and the midline is equal to zero.

Now we also need to get the period. By definition of the trigonometric functions sin(x) and cos(x), we know that the period of the two is equal to 2π.

Finally, we need to identify the graph of cos(x).

Notice that:

f(0) = cos(0) = 1.

So the graph of f(x) = cos(x) is the graph with an y-intercept equal to 1. Which is the bottom graph on the second image.

If you want to learn more about cosine functions:

brainly.com/question/17075439

#SPJ1

8 0

2 years ago

From a thin piece of cardboard 50 in. by 50 in., square corners are cut out so that the sides can be folded up to make a box. Wh

mixer [17]

Answer:

When dimension of box is 33.33 inches × 33.33 inches ×8.33 then its volume is maximum and is 9259.26 cubic inches.

Step-by-step explanation:

Let h be the length (in inches) of the square corners that has been cut out from the cardboard and that would be the height of the cardboard box.

Since the squares have been cut from cardboard, both sides of the cardboard would reduce by 2h.

Thus, The dimension of box is (50 – 2h) × (50 – 2h) × h in dimensions.

The volume V of rectangular box = (Length × Breadth × Height) cubic inches.

$V=(50-2h) \times (50-2h) \times h$

$V=(50-2h)^2 \times h$ ..............(1)

Using $(a-b)^2=a^2+b^2-2ab$

$V=h(2500+4h^2-200h)$

$V=2500h+4h^3-200h^2$

For obtaining a box of maximum volume, maximize V as a function of h.

Differentiate both sides with respect to h,

$\frac{dV}{dh}=2500+12h^2-400h$

$\frac{dV}{dh}=4(625+3h^2-100h)$

Solving quadratic equation, $625+3h^2-100h$

$\frac{dV}{dh}=4(3h^2-25h-75h+625)$

$\frac{dV}{dh}=4(h(3h-25)-25(3h-25))$

$\frac{dV}{dh}=4((h-25)(3h-25))$

For maximum, $\frac{dV}{dh}=0$

thus, $4((h-25)(3h-25))=0$

⇒ $h= 25$ or $h=\frac{25}{3}$

Now check (1) for $h= 25$ and $h=\frac{25}{3}$ .

$h= 25$ is not possible as when h is 25 inches then length and breadth becomes 0.

When $h=\frac{25}{3}$ .

(1) ⇒ $V=(50-2(\frac{25}{3}))^2 \times\frac{25}{3}=9259.2592593$

This is the maximum volume the box can assume.

Thus, when dimension of box is 33.3 inches × 33.3 inches ×8.3 then its volume is maximum and is 9259.26 cubic inches.

6 0

3 years ago

Can y’all help me on question 35?!

Nikolay [14]

Answer:

Step-by-step explanation:

C becasue 1 week = 15 mulitipication facts memorized

8 0

3 years ago

Read 2 more answers

Through: (2,-4), parallel to y=3x+24)

SVETLANKA909090 [29]

Answer:

y = 3x - 10

Step-by-step explanation:

Assuming you require the equation of the parallel line through (2, - 4)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 24 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes, hence

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (2, - 4) into the partial equation

- 4 = 6 + c ⇒ c = - 4 - 6 = - 10

y = 3x - 10 ← equation of parallel line

8 0

3 years ago