Please help thank you!

Answer:

B. f(x)=x³+x²-x-1

Step-by-step explanation:

The value of the graph f(x) shows that at x=1 and x=-1 must yield f(x)=0

which is true in case B.

A. f(1)=1+1-4-4= -6≠0

C. f(1)= 1+3-4-12=-12≠0

D.  f(-1)= -1+2+2-1= 2≠0

Hence, option B is correct

i.e. f(x)=  x³+x²-x-1

Final answer:

In the number 3,257,098, the digit 2 is in the hundred thousands place, which is the sixth position from the right or the second position from the left.

Explanation:

In the number 3,257,098, the digit 2 is in the hundred thousands place. When examining place values, we count the positions of the digits from right to left, starting with the ones position immediately to the left of the decimal point (imaginary for whole numbers). The digit to the immediate left is in the tens place, followed by hundreds, thousands, ten thousands, and so on. In this case:

The total surface area = 910.6 square centimeters. Option B

The surface area of a cylinder with a conical top can be found by calculating the sum of the areas of the circular base, the curved surface of the cylinder, and the lateral surface of the cone.

From the image, we can find that the radius of the cylinder is 5 cm and the height of the cylinder is 13 cm. We are not given the slant height of the cone.

Let's denote the slant height of the cone as sl.

Here's how to find the surface area of each part:

Curved surface area of the cylinder:

2πrh = 2π(5 cm)(20 cm)

= 628.31 cm²

Lateral surface area of the cone

A=πrl+πr2

=  π*5*13+π*5²

= 282 square centimeters

Therefore, the total surface area of the cylinder with a conical top is equal to:

Total surface area = Area of circular base + Curved surface area of cylinder + Lateral surface area of cone

Total surface area  = 282 + 628.31 cm²

Total surface area = 910.6 square centimeters

Answer:

36 feet.

Step-by-step explanation:

We have been given that on level ground, a vertical rod 12 feet tall casts a shadow 4 feet long, and at the same time a nearby vertical flagpole casts a shadow 12 feet long.

To find the length of flagpole, we will use proportions as:

[tex]\frac{\text{Actual length of flagpole}}{\text{Shadow of flagpole}}=\frac{\text{Actual length of rod}}{\text{Shadow of rod}}[/tex]

Substitute given values:

[tex]\frac{\text{Actual length of flagpole}}{12\text{ ft}}=\frac{12\text{ ft}}{4\text{ ft}}[/tex]

[tex]\frac{\text{Actual length of flagpole}}{12\text{ ft}}\times 12\text{ ft}=\frac{12\text{ ft}}{4\text{ ft}}\times 12\text{ ft}[/tex]

[tex]\text{Actual length of flagpole}=12\text{ ft}\times 3[/tex]

[tex]\text{Actual length of flagpole}=36\text{ ft}[/tex]

Therefore, the actual length of flagpole is 36 feet.

In a circle, adjacent angles of a quadrilateral sum up to 180 degrees. Thus, all angles in quadrilateral ABCD inscribed in a circle would each sum up to 180°. Consequently, sum of all the angles of the quadrilateral is 360°.

In a circle, adjacent angles of a quadrilateral sum up to 180 degrees. Since a circle consists of 360 degrees, the quadrilateral ABCD has four angles, each angle would sum up to 180 degrees as well. This is because when two cords intersect each other in a circle, they split each other into two segments and the product of the segments of one chord is equal to the product of segments of the other chord.

Let's take an example if we have the angles as A, B, C, and D: A + B = 180° and C + D = 180°. So all the angles of the quadrilateral ABCD inscribed in a circle will sum up to 360°. Hence, A + B + C + D = 180° + 180° = 360°

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Answer:

Step-by-step explanation:

first 150 then 60

The question is asking for the correct degree of rotations to simulate the passing of a soup bowl at a circular table. Without specific arrangement details, it's challenging to give a definitive answer, but if people are equidistant, option B 'First 180° and then 72°' would be the closest match.

The question asks which two rotations about the center of a circular table would describe the passing of a soup bowl from Caesar to Jada and then to Haifa. Given that the rotation is counterclockwise, we must determine the correct degree of rotations that match the sequence of passing the soup. We can visualize the table as a circle and consider that a full rotation around a circle is 360°.

Depending on the actual arrangement of the people around the table, the combined angles of rotation to pass the soup from Caesar to Jada to Haifa should add up to less than 360°, as they would not have gone a full circle. If we were to look at the options provided:

The only way to determine the correct answer is to know the specific arrangement of people around the table, which the question does not provide. Without this information, we cannot definitively choose the correct rotations. However, in general terms, if each person is equidistant from the others in a regular polygon arrangement, we can then divide 360° by the number of people to find the angle corresponding to one pass. Assuming five people at the table, each angle would be 72°. In this case, the closest matching option provided would be First 180° and then 72°.

Answer:

The area of remaining wall after the mural has been painted is [tex]46x^2+73x+15[/tex] square units.

Step-by-step explanation:

If the dimensions of a rectangle are l and w, then area of rectangle is

[tex]A=l\times w[/tex]

The dimensions of wall are (6x+7) and (8x+5). So, the area of wall is

[tex]A_1=(6x+7)\times (8x+5)[/tex]

[tex]A_1=6x(8x+5)+7(8x+5)[/tex]

[tex]A_1=48x^2+30x+56x+35[/tex]

[tex]A_1=48x^2+86x+35[/tex]

The dimensions of mural are (x+4) and (2x+5). So, the area of mural is

[tex]A_2=(x+4)\times (2x+5)[/tex]

[tex]A_2=x(2x+5)+4(2x+5)[/tex]

[tex]A_2=2x^2+5x+8x+20[/tex]

[tex]A_2=2x^2+13x+20[/tex]

The area of remaining wall after the mural has been painted is

[tex]A=A_1-A_2[/tex]

[tex]A=48x^2+86x+35-(2x^2+13x+20)[/tex]

[tex]A=48x^2+86x+35-2x^2-13x-20[/tex]

[tex]A=46x^2+73x+15[/tex]

Therefore area of remaining wall after the mural has been painted is [tex]46x^2+73x+15[/tex] square units.

Answer:

46x^2 + 73x + 15

Step-by-step explanation:

When you use postulates and theorems, you need to make sure to only use the given information that you know. Look for the given statements, and congruence marks on the figure. Those are also considered gives

Final answer:

In the complex number system, types of numbers that are undefined under a radical sign in the real number system, such as negative real numbers, become defined. For example, the square root of -1 is i, an imaginary unit. This allows operations like multiplication, subtraction, squaring, and cubing on complex numbers to be defined, illustrating the comprehensive nature of the complex number system.

Explanation:

The types of numbers that are undefined under a radical sign (specifically the square root) are negative real numbers in the context of the real number system. However, when we introduce the concept of complex numbers, every number, including negative ones, can have a defined square root. For example, the square root of -1 is defined as i, which is an imaginary unit.

When you handle the expression √-1 (which is i) in various operations:

This illustrates that with the incorporation of complex numbers, operations on what would be undefined values in the real number system become fully defined. Additionally, the complex number system ensures that every polynomial equation has a root, fulfilling the Fundamental Theorem of Algebra. Complex numbers are a critical development in mathematics, allowing for the full spectrum of polynomials to be solvable and expanding our capability to model and solve a wide array of problems.

The length of JK to the nearest tenth is; 4.5 mm

From the given triangle, we see the following parameters;

JL = 3 mm

KL = 5 mm

angle JLK = 62 °

Use the Law of Cosines, we can find the length of JK as;

|JK| = √(3² + 5² − 2(3 * 5) cos62°)

|JK| = √(34 - 14.084)

|JK| = 19.916

|JK| = √19.916

|JK| = 4.463

Approximating to the nearest  tenth; JK = 4.5 mm

Read more on length of a triangle at; https://brainly.com/question/385308

Final answer:

The Lateral Area (L.A.) of a right circular cone with a base radius of 6 and a height of 8 is 60π square units, calculated by finding the slant height using the Pythagorean theorem and then applying the formula for L.A.

Explanation:

The student is asked to find the Lateral Area (L.A.) of a right circular cone given the base radius (r) is 6 and the height (h) is 8. First, we need to find the slant height of the cone, which can be done using the Pythagorean theorem in a right triangle where one leg is the height of the cone, the other leg is the radius of the base, and the hypotenuse is the slant height (l). The formula is l = [tex]\sqrt{(r^2 + h^2)[/tex]. After calculating l, we use the formula for the Lateral Area: L.A. = π r l.

Calculating the slant height: l = [tex]\sqrt{(6^2 + 8^2)}[/tex] = [tex]\sqrt{(36 + 64)[/tex]= [tex]\sqrt{100[/tex]= 10.

Now, we calculate the Lateral Area: L.A. = π * 6 * 10 = 60π. Hence, the Lateral Area of the cone is 60π square units.

83 i am quite certain hope this helps (why did echo delete my answer the first time could of gave me a reason why because that was rude!)

im pretty sure it is 83

hope this help you guys

The toddler crawled a total of 14 feet after converting the initial 2 yards into feet and adding the additional 8 feet crawled.

To determine the total distance the toddler traveled, we first need to convert the units so they are the same. We know that 1 yard is equivalent to 3 feet. If the toddler crawled 2 yards initially, we can calculate this distance in feet as follows:

2 yards * 3 feet/yard = 6 feet

After stopping, the toddler continued to crawl for 8 more feet. To find the total distance traveled, we simply add the two distances together:

6 feet + 8 feet = 14 feet

Therefore, the toddler traveled a total of 14 feet.

Answer:

The fourth term in the sequence   is -17

Step-by-step explanation:

To find the 4th term of the sequence, we will simply follow the steps below;

a(1) = -2

a(n) = a(n-1)-5

We will find the value of the sequence when n = 1, n= 2 n =3 n=4

The first one has been done for us, so we have the first term to be a(1) = -2

The next thing to  do, is to find the second term, ie. when n=2

a(n) =a(n-1)-5

 a(2) =a(2-1)-5

         =a(1) - 5

but a(1) = -2

a(2) =a(1) - 5

       =-2-5

        =-7

a(2) = -7  

next is to find the third term, ie. when n=3

a(n) =a(n-1)-5

 a(3) =a(3-1)-5

         =a(2) - 5

but a(2) = -7

a(3) =a(2) - 5

       =-7-5

        =-12

a(3) = -12  

next is to find the fourth term, ie. when n=4

a(n) =a(n-1)-5

 a(4) =a(4-1)-5

         =a(3) - 5

but a(3) = -12

a(4) =a(3) - 5

       =-12-5

        =-17

a(4) = -17

Therefore, the fourth term in the sequence   is -17