5 Signs for science project displays are cut of poster board that measure 1 yard on each side. Each sign is-yard long and-yard wide. How ma signs can be cut from 1 piece of poster board? Wh the area of each sign? Show your work.​

Answer:

86.4 kilometers per hour

Answer:

Yes, the graph makes it appear as if sales increased three folds.

Step-by-step explanation:

The graph presented by the advertising company is misleading, as it attempts to exaggerate the effect of its advert on sales. This can be attributed to the scale which is isn't uniform.

Last year sale was about 137000 and it grew to 150000 as a result of advertisement.

But from the bar chart, it seems there was three times increase in sales.

Answer: c. Set up 3 separate savings accounts for the first 3 goals and a retirement investment for the 4th

Step-by-step explanation:

The options are:

a. Put as much as he can every month into an investment, like shares of a company, so his money grows quickly

b. Keep all the money in his checking account so that he can spend it in the different categories as needed

c. Set up 3 separate savings accounts for the first 3 goals and a retirement investment for the 4th

d. Set up 4 separate savings accounts

Based on the information given in the question, the best startegy for Malcolm is to set up 3 separate savings accounts for the first 3 goals and a retirement investment for the 4th.

Since the first three goals include saving for an emergency fund ($5000), saving for a flight home to see his parents for the holidays ($450), and a downpayment on a new car ($3000), the best thing he should do is to set up 3 savings account for the first three goals.

The last goal relates to his retirement which is 2% of his monthly take-home pay, therefore he should set up a retirement investment for the 4th goal.

Each of these limits correspond to the derivative of some function f(x) at a point x = a.

Recall the limit definition of a function f(x) :

f '(x) = lim [h → 0] ( f(x + h) - f(x) ) / h

Then if x = a, we get

f '(a) = lim [h → 0] ( f(a + h) - f(a) ) / h

From here, it's easy to identify what each function and point should be:

(a) f (a + h) = (1 + h)¹ʹ³   →   f(x) = x ¹ʹ³ and a = 1

(that's a 1/3 in the exponent)

(b) f (a + h) = cos(π + h)   →   f(x) = cos(x) and a = π

(c) f (a + h) = 5 (4 + h)⁵   →   f(x) = 5x ⁵ and a = 4

(d) f (a + h) = exp(4h) = exp(4 (0 + h))   →   f(x) = exp(4x) and a = 0

(where exp(x) = eˣ )

Step-by-step explanation:

Seriously Speaking Am as confused As ...

forgive me but my head is blank

Answer:

4745

Step-by-step explanation:

Answer: 4745

Step-by-step explanation:

3250 = 100%

Percent Increase = +46%

46% of 3250 = 1495

3250 (100%) + 1495 (46%) = 4745

Answer:

\(\rule{100mm}{0.1mm}\)

    \(\cot^2(2x)+\cos^2(2x)+\sin^2(2x)=\csc^2(2x)\)

\(\dfrac{\cos^2(2x)}{\sin^2(2x)} +[(\cos^2(2x)+\sin^2(2x)]=\csc^2(2x)\)

                               \(\dfrac{\cos^2(2x)}{\sin^2(2x)} +1=\csc^2(2x)\)

                    \(\dfrac{\cos^2(2x)+\sin^2(2x)}{\sin^2(2x)}=\csc^2(2x)\)

                                    \(\dfrac{1}{sin^2(2x)} =\csc^2(2x)\)

                                     \(\boxed{\csc^2(2x)=\csc^2(2x)}\) ✔

\(\rule{100mm}{0.1mm}\)

Answer:

Using the Pythagorean Theorem, we know x^2 + 46^2 is equal to 65^2. With that in mind, it is important to note:

65^2 = 4,225

46^2 = 2,116

To find the missing angle, we must subtract 2,116 from 4,225 and then identify the difference’s square root.

4,225 - 2,116 = 2,109

√2,109 ≈ 45

Hence, x ≈ 45.

Step-by-step explanation:

The distance between points P and Q is √73

First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:

distance = √( (a - c)² + (b - d)²)

Here we can see that the coordinates of the two shown points are:

P = (-3, 2)

Q = (5, -1)

Replacing that in the distance formula we will get:

distance = √( (-3 - 5)² + (2 + 1)²)

distance = √( (-8)² + (3)²)

distance = √73

So the correct option is the third one.

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Answer:

pppppppppppppppppppppppppppppppppppppppppp

The relative frequency οf value οf 10 is 0.3.

The relative frequency is calculated as the prοduct οf the number οf times a given value οf the data appears in the set οf all οutcοmes divided by the tοtal number οf οutcοmes.

Here the given data set is 10, 14, 12, 16, 13, 14, 16, 10, 12, and 10.

Fοr value οf 10, the number οf times 10 οccured is 3 and tοtal number οf data set is 10.

Relative frequency,

=> Number οf times οf value οf 10/ Tοtal number οf data set

=> 3/10

=> 0.3.

Hence the relative frequency οf value οf 10 is 0.3.

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Answer:

Step-by-step explanation:

The two parabolas intersect for

\(8-x^2 = x^2 \implies 2x^2 = 8 \implies x^2 = 4 \implies x=\pm2\)

and so the base of each solid is the set

\(B = \left\{(x,y) \,:\, -2\le x\le2 \text{ and } x^2 \le y \le 8-x^2\right\}\)

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas, \(|x^2-(8-x^2)| = 2|x^2-4|\). But since -2 ≤ x ≤ 2, this reduces to \(2(x^2-4)\).

a. Square cross sections will contribute a volume of

\(\left(2(x^2-4)\right)^2 \, \Delta x = 4(x^2-4)^2 \, \Delta x\)

where ∆x is the thickness of the section. Then the volume would be

\(\displaystyle \int_{-2}^2 4(x^2-4)^2 \, dx = 8 \int_0^2 (x^2-4)^2 \, dx \\\\ = 8 \int_0^2 (x^4-8x^2+16) \, dx \\\\ = 8 \left(\frac{2^5}5 - \frac{8\times2^3}3 + 16\times2\right) = \boxed{\frac{2048}{15}}\)

where we take advantage of symmetry in the first line.

b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

\(\dfrac\pi8 \left(2(x^2-4)\right)^2 \, \Delta x = \dfrac\pi2 (x^2-4)^2 \, \Delta x\)

We end up with the same integral as before except for the leading constant:

\(\displaystyle \int_{-2}^2 \frac\pi2 (x^2-4)^2 \, dx = \pi \int_0^2 (x^2-4)^2 \, dx\)

Using the result of part (a), the volume is

\(\displaystyle \frac\pi8 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{256\pi}{15}}}\)

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

\(\dfrac{\sqrt3}4 \left(2(x^2-4)\right)^2 \, \Delta x = \sqrt3 (x^2-4)^2 \, \Delta x\)

and using the result of part (a) again, the volume is

\(\displaystyle \int_{-2}^2 \sqrt 3(x^2-4)^2 \, dx = \frac{\sqrt3}4 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{512}{5\sqrt3}}\)

Answer:

28.26 cm

Step-by-step explanation:

circumference of a circle = πd

=3.14 * 9 cm

=28.26 cm

Answer:

second

Step-by-step explanation

-5/12 because -2/3 + 1/4 = -5/12

Answer:

2nd one

Step-by-step explanation:

Answer:

a = 1/6

Step-by-step explanation:

To solve, divide both sides by 5 1/4

a = 7/8 / (5 1/4)

a = (7/8) / (21/4)

a= 7/8 * 4/21

a= 28/168

a= 1/6

la surface de l'écharpe est de 1 1 56 cm² car la formule pour calculer l'air d'un carré est A= coté * coté soit coté²

donc :  Aécharpe=34²=1156

Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.

When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.

Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.

Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

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Answer:

iuhiobh8ubp8

Step-by-step explanation:

Answer:

2.5mph

Step-by-step explanation:

S = Distance divided by Time (S = D/T)

Therefore.

S = 15/6

=2.5 mph

Colin walked an average speed of 2.5mph

Answer:

the answer is 2.5 mph

Step-by-step explanation:

speed= distance/time

speed=15/6

15 divided by 6 = 2.5

Answer:6.3 i believe

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

circumference = 2πr

arc length  = (included angle/360) * circumference

as an equation

s = (θ/360) * 2πr

s = (θ/180)πr

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

θ = 45

r = 8

s = (45/180) * 3.14 * 8

s = 6.28

rounded

s = 6.3

Answer:

The answer is 4w^2 + 8w - 3

Step-by-step explanation:

Umm I hope it's right

Answer:

Option (1). 34°

Step-by-step explanation:

From the figure attached, CE and CD are the radii of the circle C.

Central angle CED formed by the intercepted arc DE = 68°

Since measure of an arc = central angle formed by the intercepted arc

Therefore, m∠CED = 68°

Since m∠EFD = \(\frac{1}{2}(m\angle ECD)\) [Central angle of an intercepted arc measure  the double of the inscribed angle by the same arc]

Therefore, m∠EFD = \(\frac{1}{2}(68)\)

                               = 34°

Therefore, Option (1) 34° will be the answer.

Answer:

34 (100% Correct)

Step-by-step explanation:

Answer:

Slope m = 1

Point (1, 4)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define function

y - 4 = (x - 1)

Step 2: Break Function

Identify Parts

Slope m = 1

Point (1, 4)

Answer:

-The composition of functions p and q is not commutative.

-Both p(q(x)) and q(p(x)) have the same domain.

-Graph A represents q(p(x))

Step-by-step explanation:

The statements that are true about the given composite functions are:

B) The composition of functions p and q is not commutative

D) Both p(q(x)) and q(p(x)) have the same domain i.e., x ∈ {R}

E) Graph A represents q(p(x)) = x³ + 5

The given functions are p(x) = x³ and q(x) = x + 5

Then the composite functions p(g(x)) and q(p(x)) are:

p(g(x)) = (x + 5)³ and

q(p(x)) = x³ + 5

where  p(g(x)) and q(p(x)) are not commutative, since (a + b ≠ b + a) i.e.,

(x + 5)³ ≠ x³ + 5

The graphs for the functions p(x) and q(x) are shown in the figure below. The obtained composite functions are also drawn.

Thus, from the graph,

Graph A represents - q(p(x)) = x³ + 5

Graph B represents - p(q(x)) = (x + 5)³

So, options B, D, and E are true statements about the given graph.

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Answer:

a) 263,158

b) $164,500

c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Step-by-step explanation:

a)

Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000

Total revenue = 1.40x

Setting the two equations equal to each other and solving for x, we get:

(0.45)x + 250,000 = 1.40x

0.95x = 250,000

x ≈ 263,158

b)

If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:

270,000 * $1.40 = $378,000

The total cost of producing 270,000 candy bars is:

(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500

Therefore, the company's profit is:

$378,000 - $213,500 = $164,500

c)

Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...