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The dimensions of a rectangle are represented by the functions shown.


Which function represents the area of the rectangle?

A. 12x2 + 15x – 10

B. 12x2 + 7x + 10

C. 12x2 – 8x – 10

D. 12x2 + 7x – 10

Answer:

Step-by-step explanation:

sin= - square root 3/2                

cos= -1/2

tan= square root 3

csc= -2 square root 3/2

sec= -2

cot= square root3/4

Answer:

[tex]\sin\left(\frac{4\pi}{3}\right)=-\frac{\sqrt{3}}{2}\\\cos\left(\frac{4\pi}{3}\right)=-\frac{1}{2}\\\tan\left(\frac{4\pi}{3}\right)=\sqrt{3}\\\csc\left(\frac{4\pi}{3}\right)=-\frac{2\sqrt{3}}{3}\\\sec\left(\frac{4\pi}{3}\right)=-2\\\cot\left(\frac{4\pi}{3}\right)=\frac{\sqrt{3}}{3}[/tex]

We first find the corresponding angle of 4π/3.

[tex]\frac{4\pi}{3}-\pi=\frac{\pi}{3}[/tex]. And 4π/3 is in the third quadrant. There tan and cot are positive and rest are negative.

[tex]\sin\left(\frac{4\pi}{3}\right)=-\sin\left(\frac{\pi}{3}\right)=-\frac{\sqrt{3}}{2}\\\cos\left(\frac{4\pi}{3}\right)=-\cos\left(\frac{\pi}{3}\right)=-\frac{1}{2}\\\tan\left(\frac{4\pi}{3}\right)=\tan\left(\frac{\pi}{3}\right)=\sqrt{3}\\\csc\left(\frac{4\pi}{3}\right)=-\csc\left(\frac{\pi}{3}\right)=-\frac{2}{\sqrt{3}}=-\frac{2\sqrt{3}}{3}\\\sec\left(\frac{4\pi}{3}\right)=-\sec\left(\frac{\pi}{3}\right)=-2\\\cot\left(\frac{4\pi}{3}\right)=\cot\left(\frac{\pi}{3}\right)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

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Answer:

stop and save

Step-by-step explanation:

The reason for this is because if you can buy 5 apples for 1 dollar so that is 20 cents each but the other one is 45 cents for 1 apple at quick market

Answer:

stop and save because you can get two additional apples paying only 95 cents

Step-by-step explanation:

3x1.35= 4.05

5x1=5

Answer:

[-7,∞)

Step-by-step explanation:

This function is a parabola that has a positive coefficient, so the parabola will open upwards (or make a smile if you want to call it that). The vertex is located at (2,-7) because of the vertex equation, so you know that the y values are greater than or equal to -7.

Answer:

47.13cm

Step-by-step explanation:

2×3.142×7.5cm

Answer:

47.13

Step-by-step explanation:

c=2πr

c=2×3.142×7.5cm

c=6.284×7.5cm

c=47.13cm

Answer:

= 6^13

Step-by-step explanation:

6^3 • 6^10

= 6^3 • 6^10

= 6^(3 + 10)

= 6^13

Answer:D

Step-by-step explanation:

A. 6^3 * 6^10 = 6^13

It has the same base so you will make it stay the same and add the exponents.

Answer:

Domain: -4 < x < 4

Zeros: (-2, 0), (0, 0) and (2, 0)

The function is positive if: 0 < x < 2

The function is negative if: -4 < x < 0 and 2 < x < 4

Step-by-step explanation:

Domain of the function are those x values where the function is defined, For this case, -4 < x < 4

Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)

The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)

The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)

==========================================

Explanation:

C and D are inverses of each other. When they multiply together, they will produce the identity matrix I

C*D = I

D*C = I

note: this is the uppercase letter 'i' and not the number one. The 'i' stands for 'identity'. Another thing to note is that matrix multiplication is not normally commutative, but it works for matrix inverses.

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

So this means C*D*D = (C*D)*D = (I)*D = I*D = D because multiplying the identity matrix with some matrix X leads to the same matrix X.

This is why the first choice is the answer.

The second choice doesn't work because C*C*D = C*(C*D) = C*(I) = C*I = C

The third choice doesn't work because we don't have any C's here. All we can say is that D*D*D = D^3

Similarly choice 4 doesn't work as all we can say is C*C*C = C^3.

Answer:

So for the first spinner, the probability of the arrow pointing to blue on a spin is 1/4, the probability of it pointing to green is 1/4 and so on. This assumes that each section is the same physical size.

Step-by-step explanation:

Answer:

Where is the picture

Step-by-step explanation:

Answer:

Domain: x >0

Range : y < 0

Step-by-step explanation:

Diagrams can be drawn using scale ratios, which can either represent enlargement or compression

The dimensions of the side elevation are given as:

0.5 m, 2 m and 0.5 m

The dimensions of the front elevation are given as:

2 m and 2 m

Using a scale of 2 squares to 1 m, the scaled dimensions become:

See attachment for illustration of the scaled measurement

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Answer:

B

Step-by-step explanation:

just took the test on edge

By using the given information, the period particularly, we conclude that the function is y = sin(3x).

First, we know that:

With these 3 considerations, we know that the function is something like:

y = sin(k*x)

So we only need to find the value of k.

We also know that the period of the function is: (2/3)*pi

This means that:

sin(k*(x + (2/3)*pi) = sin(k*x)

Remember that the period of the sine function is 2pi, then:

k*(2/3)*pi = 2pi

k/3 = 1

k = 3

Then the function is:

y = sin(3x).

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Answer:

an = 56-8(n-1)

Step-by-step explanation:

This is an arithmetic sequence

The common difference is 48 - 56 =-8

a1 = 56

an = a1+d(n-1)

an = 56-8(n-1)

The region of integration in the xy-plane for the given integral ∫∫R √(4xy) dy dx, where R is the region bounded by x = 0, x = -3, y = 0, and y = -9 - x^2, can be visualized as a triangular region in the first quadrant.

The given integral is a double integral of the function √(4xy) over a specific region in the xy-plane. To determine the region of integration, we consider the given bounds: x ranges from 0 to -3, and y ranges from 0 to -9 - x^2.

Starting with the x bounds, x = 0 represents the y-axis, while x = -3 represents a vertical line passing through the point (-3, 0). Thus, the region is bounded by the y-axis on the left and the vertical line x = -3 on the right.

Moving on to the y bounds, y = 0 represents the x-axis, while y = -9 - x^2 represents a downward-opening parabola with its vertex at the origin and its axis of symmetry parallel to the y-axis. Since y is negative, the parabola lies below the x-axis.

By combining the x and y bounds, we obtain a triangular region in the first quadrant. The triangle is formed by the x-axis, the line x = -3, and the curve y = -9 - x^2. This region of integration represents the area over which the function √(4xy) is being integrated.

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Step-by-step explanation:

x2 - x - 6 = 0

x2 - 3x + 2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

x - 3 = 0. x + 2 = 0

x = 3 x = - 2

Option no 2 and 5 are the correct answer

Answer:

15x^4+2x^3-8x^2-22x-15

Step-by-step explanation:

Answer:

Your answer is

5x^4+2x^3-8x^2-22x-15

Step-by-step explanation:

I just simplified

Answer:

17 = x

25 = y

Step-by-step explanation:

Answer:

Balance of the account after 5 year = $2,577 (Approx)

Step-by-step explanation:

Given:

Initial deposit = $2000

Annual yield (r) = 5.2% = 5.2 / 100 = 0.052

Number of year (n) = 5 year

Find:

Balance of the account after 5 year = ?

Computation:

[tex]Amount = Initial\ deposit(1+r)^n\\\\Amount = 2,000(1+0.052)^5\\\\Amount = 2,000(1.052)^5\\\\Amount = 2,000(1.28848302)\\\\Amount = 2,576.96604[/tex]

Balance of the account after 5 year = $2,577 (Approx)

The question is incomplete

Find attached to the question, the appropriate diagram

Answer:

a) landing on an unshaded sector and landing on a number less than 2

b) landing on a shaded sector and landing on a 3

Step-by-step explanation:

Mutually exclusive events are two events that can occur separately on their own but they cannot occur together or at the same time.

The options given are explained below:

We have two shaded sectors: 1 and 4

We have two unshaded sectors : 2 and 3

a) landing on an unshaded sector and landing on a number less than 2

Looking at option a, we find out that it is possible for the spinners to land on an unshaded sector separately likewise on a number less than 2 but it cannot land on an unshaded sector AND and number less than 2 because looking at the spinner, the numbers on the unshaded sectors are 2 ( is equal to two) and 3 ( which is above 2).

Therefore this option is mutually exclusive and correct.

b) landing on a shaded sector and landing on a 3

It is possible to land on a shaded sector likewise it is possible to land on a 3 but it is not possible to land on a shaded sector and land on a 3 at the same time.

This is because, the number on the shaded sector is 1 and 4 and the number on the unshaded sector is 2 and 3, we have only one spinner so the spinner can only land on one sector at a time.

Therefore, Option b is a mutually exclusive event and it is a correct option.

c) landing on an unshaded portion and landing on an odd number

The unshaded portion on the spinner has number 2 and 3 on them, therefore it is possible to land on an unshaded portion and odd number which is 3 at the same time.

Option c is not a mutually inclusive event and it is wrong.

d) landing on a shaded sector and landing on an even number

The shaded sector on the spinner has number 1 and 4 on them, therefore it is possible to land on an shaded sector and even number which is 4 at the same time.

Option d is not a mutually inclusive event and it is wrong.

e)landing on a shaded sector and landing on a number greater than 3

The shaded sector on the spinner has number 1 and 4 on them, therefore it is possible to land on an shaded sector and a number greater than 3 which is 4 at the same time.

Option e is not a mutually inclusive event and it is wrong.

Therefore, option a and option b are mutually exclusive events and they are correct.

Answer:

a.  landing on an unshaded sector and landing on a number less than 2

e  landing on a shaded sector and landing on a number greater than 3

Step-by-step explanation:

Two events ; for example events A and B are said to be mutually exclusive , if they cannot both occur simultaneously.In set theoretical notation , we say that the two sets A and B are disjoint set.

i.e

A ∩ B = ∅

Pr (A ∩ B) = 0

The intersection of A and B is an empty set and as such there is no intersection.

From the given options; option a and e are correct because ;

a.

landing on an unshaded sector and landing on a number less than 2

Landing on an unshaded portion would 2 or 3.

Landing on a number less than 2 would be 1.

There is no intersection and as such these events are mutually exclusive.

e.

landing on a shaded sector and landing on a number greater than 3

Landing on a shaded portion would be 1 or 4.

Landing on a number greater than 3 would be just 4.

The intersection of both events will be an empty set (∅)

As such these events are not mutually exclusive.

Answer:

12 = k

Step-by-step explanation:

Begin: 27.5 = 3 + 5 (k-9.5)

1. Always begin with the parenthesis, which is 5(k-9.5), which comes out to be 5k - 47.5 since the 5 must be multiplied by the k and the -9.5.

Now: 27.5 = 3 + 5k - 47.5

2. Combine the 3 and -47.5, which comes to be -44.5

Now: 27.5 = -44.5 + 5k

3. Add 44.5 to both sides, to make the right side have only the 5k, and the left side to have 72

27.5 + 44.5 = -44.5 + 44.5 + 5k

Now: 72 = 5k

4. Divide both sides by 5 to be left with just what k equals

72/5 = 5k/5

Final Answer: 12 = k

Answer:

4 buckets

Step-by-step explanation:

40 divided by 10 is 4

Answer:

4 bucket

Step-by-step explanation:

We can either use division or repeated subtraction in this case! Division is easier!

40/10 = 4

4 groups of 10 is what this looks like! (In this case, 4 buckets of 10 seashells)

Answer:

if it was out of all of the data it would be 76 / 300

Answer:172in

Step-by-step explanation:

Answer:

SA=172

Step-by-step explanation:

SA=2lw+2wh+2lh

=2(10)(2)+2(2)(5.5)+2(10)(5.5)

=172

Answer:

Hi can you please tell of which grade question is this ?

Answer:

C

Step-by-step explanation:

Congruent corresponding angle makes triangle similar. For triangles to be congruent both the corresponding angles and the corresponding sides must be congruent.

The 2 3/4 or 2.75 is equivalent to 275%.

The percentage formula is used to calculate the amount or percentage of anything in terms of 100. Percentage indicates "per hundred" in its most basic form. The percentage formula is used to express a number between zero and one. It is a number that is expressed as a fraction of 100. It is represented by the sign% and is mostly used to compare and find ratios.

The population of Gilbert increased by 275%. The equivalent to 275% will be:

To express as fraction and decimal, we divide 275 by 100.

= 275/100

= 2 3/4

= 2 + 0.75

= 2.75

So, the equivalent fraction is 275% = 2 3/4 or 2.75.

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Answer:-1.277778 i think

Step-by-step explanation:

i think this means h(x) = (17+6)÷x

in which case h(-18) = (17+6)÷(-18) = -1.2777778

would help if you put the question in standard format

Answer:

a\b

Step-by-step explanation:

msgsewyjejjhensnsjmsgmyfydnansegnajtwmanae

Answer:

What number, when added to negative four is equal to negative five.

Step-by-step explanation:

Rearange the numbers to get -4+g=-5.

This eqation now reads -4 plus a number g is equal to -5, and can also be read as what number (g) added to -4 = -5.

If we were to solve for g we would get g= -1.

Hope this helps!

G=-1          so

What number, when added to negative four, is equal to negative five

Answer:

216 inches cubed

Step-by-step explanation:

To find the volume you need length times width times height. Since it is a cube it would be 6 inches * 6 inches * 6 inches which is 216 inches cubed.

Volume of the cube is 216 cubic inch

A cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex

A rectangular prism is a 3D figure with 6 rectangular faces

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface

Given,

A cube is a rectangular prism with the same measurement for length, width and height

Height of the cube h= 6 inches

Length of the cube l= 6 inches

Width of the cube w= 6 inches

Volume of the cube = l× w × h

Volume of the cube = 6×6×6 =216 cubic inch

Hence the volume of  cube is 216  cubic inch

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