The 11th term of an progression is 25 and the sum of the first 4 terms is 49. The nth term of the progression is 49
1. Find the first term of the progression and the common difference
2. Find the value of n

Answer:

10 units

Step-by-step explanation:

Given that,

The area is modeled by the equation as follows :

[tex]A=-l^2-10l+300[/tex]

Where

l is the linear dimensions of the frame.

Put A = 100

So,

[tex]-l^2-10l+300=100\\\\-l^2-10l+200=0\\\\l=10,-20[/tex]

So, the linear dimension of the frame is equal to 10 units.

Answer:

4.2

Step-by-step explanation:

It would be 8/2 which gets 4 and put the .2 4.2

Length of the arc of each slice of cake is equals to 5.024inches.

" Length of the arc is defined as the distance between any two points as a part  of the circumference of the circle."

Formula used

Length of the arc =  radius × central angle of the arc

l = r × θ

According to the question,

Number of friends = 5

Diameter of the cake = 8inches

Shape of the cake is circular.

Therefore angle formed = 360°

Angle for each piece of cake = [tex]\frac{360}{5}[/tex]

                                                 = 72°

Radius of the cake = [tex]\frac{diameter }{2}[/tex]

                               = [tex]\frac{8}{2}[/tex]

                               = 4 inches

Substitute the value in the formula to get the length of the arc we get,

L = 4 × 72 × [tex]\frac{\pi }{180}[/tex]

  = 5.024inches

Hence, length of the arc of each slice of cake is equals to 5.024inches.

Learn more about length of the arc here

https://brainly.com/question/14675251

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Chào Đứa bé!!

Được thôi, nếu vậy câu trả lời cho của bạn câu hỏi là có/thật

I hope it helps u!!

Just comment if u have any questions :-)

Using the dot plot, it is found that a typical amount of chocolate chips in one of Shawn's cookies is around 4.56.

The dot plot is a graph shows the number of times each measure appears in the data-set.

Researching this problem on the internet, the dot plot states that:

The mean is given by:

M = (2 x 2 + 2 x 3 + 5 x 4 + 4 x 5 + 3 x 6 + 2 x 7)/(2 + 2 + 5 + 4 + 3 + 2) = 4.56.

Hence, a typical amount of chocolate chips in one of Shawn's cookies is around 4.56.

More can be learned about dot plots at https://brainly.com/question/24912483

Answer:

5 chocolate chips

Step-by-step explanation:

did on khan

Answer:

I believe it is 90

Step-by-step explanation:

I'm not so sure but when finding the area of a shape you times all those lengths together.

Answer: There is NO answer because there is some missing information!

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

since its collinear it has to be 180 -80 which equals 100.

Answer:

The correct answer is - 768.

Step-by-step explanation:

The given question is based on a specific pattern present in between the numbers in the given series -

Series = 25 50 99 196 388

to find - next number in series

let us find the relation between the initial two number:

25 - 50, here number 50 is two times of 25 or (x*2-0)

relation between 2nd and 3rd number:

50 - 99, here 99 is two times of 50 minus 1 or (x*2-1)

relation between 3rd and 4th number:

99 - 196, here 196 is two times of 99 minus 2 or (x*2-2)

relation between 4th and 5th number:

196 - 388, here 388 is the two times of 196 minus 4 or (x*2-4)

So on this pattern, the next number would be = x*2-8

388*2-8

= 768

Answer:

40*40=1600

PLS MARK BRAINLIEST

Answer:

That is Arithmetic

Step-by-step explanation:

Arithmetic Sequence is described as a list of numbers, in which each new term differs from a preceding term by a constant quantity. Which is -5 in this case.

Hope this helps

Answer:

2/9

Step-by-step explanation:

the question didnt say replaced it with another colour

Answer:

[tex]\text{A. }x=3[/tex]

Step-by-step explanation:

Recall the exponent property [tex]a^{b^c}=a^{(b\cdot c)}[/tex]. Therefore, we can square both sides of the equation to get rid of the fraction in the exponent:

[tex]((8x-8)^{\frac{3}{2}})^2=64^2,\\(8x-8)^{\frac{3}{2}\cdot2}=64^2,\\(8x-8)^3=4096[/tex]

Take the cube root of both sides:

[tex]8x-8=16[/tex]

Add 8 to both sides:

[tex]8x=24[/tex]

Divide both sides by 8 to isolate [tex]x[/tex]:

[tex]x=\frac{24}{8}=\boxed{3}[/tex]

The answer is true because it is not a general form

Answer:

The measures of the angles are 85 and 95 degrees each.

Step-by-step explanation:

Two angles are supplementary when they add up to 180 degrees.

Therefore, set up an equation and solve for the variable x in the first place.

(8x-3)+(7x+18)=180

8x-3+7x+18=180

8x+7x-3+18=180

15x-3+18=180

15x+15=180

15x=165

x=165/15

x=11

Angle 8x-3=8(11)-3=88-3=85.

Angle 7x+18=7(11)+18=77+18=95.

Answer:

85⁰ and 95⁰

Step-by-step explanation:

Supplementary angle add up to 180⁰

8x-3+7x+18=180

8x+7x-3+18=180

15x+15=180

15x=180-15

15x=165

15x/15=165/15

x=165/15

x=11⁰

measure of first angle=8(11⁰)-3

=88⁰-3

=85⁰

measure of second angle=7(11⁰)+18

=77⁰+18

=95⁰

Answer:

Not enough data

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

ASA stands for angle-side-angle.

one side and the 2 angles at the end points of this side are known. only one triangle can be created with that information.

and that is our situation here.

the sides PQ and respectively ST are known (the fact that they are of equal length qualifies for that).

and the angles at the end points of PQ are known (again, the fact that they have the same size as the angles for ST qualifies for that too).

so, ASA applies to prove that both triangles are congruent.

Answer:

5 × (x + 27) ≥ 6 × (x + 26).

Step-by-step explanation:

The solution set of " Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26" is (-∞, -21]

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

For this case, let the number in consideration be 'x', then according to the condition specified, we get:

Also, we get:

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26 as:

[tex]5(x+27) \geq 6(x+26)[/tex]

Expanding and taking x on one side:

[tex]5x+135 \geq 6x+156\\135-156 \geq x \\\\x \leq -21[/tex]

Thus, the considered statement is true for all the numbers which is smaller or equal to -21. Symbolically, the solution set is: (-∞, -21]

The square bracket shows that the -21 is included in the interval. And the interval  (-∞, -21] is  set of all real numbers smaller or equal to -21.

Thus, the solution set of " Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26" is (-∞, -21]

Learn more about inequalities here:

https://brainly.com/question/27425770

Answer:

Y=x

Step-by-step explanation:

The y and x values are the same

Answer:

y = x

Step-by-step explanation:

a 45° line with the origin passing through the origin has the equation y=x.

Have a nice day.

the addition sign thus 2+1÷3=2

9514 1404 393

Answer:

  B.  -∞

Step-by-step explanation:

There is a vertical asymptote at x=2. Left of that line, the denominator is negative. As x approaches 2 from the left, the function approaches negative infinity.

Answer:

20/4

Step-by-step explanation:

Because that would mean 20 divided by 4 which wouldn't accumulate to 80

Answer:

If I'm correct I think 4 is the polygon

Answer:

length= 17.5 m , breadth = 12.5 m

Step-by-step explanation:

The ratio of length : breadth = 7 : 5 = 7x : 5x ( x is a multiplier )

Then

2l + 2b = perimeter ( l is length, b is breadth )

2(7x) + 2(5x) = 60

14x + 10x = 60

24x = 60 ( divide both sides by 24 )

x = 2.5

Then

length = 7x = 7 × 2.5 = 17.5 m

breadth = 5x = 5 × 2.5 = 12.5 m

Answer:

52

Step-by-step explanation:

answer is in photo above

Answer:

52

Step-by-step explanation:

step-by-step explanation is a c and b is 52

The elliptic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant negative curvature.

The hyperbolic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant positive curvature.

These formal systems were developed to demonstrate the possibility of the existence of geometries in which the fifth Euclidean postulate is not observed.

The key fact that makes elliptic and hyperbolic geometries different from Euclidean geometry is the consideration of curvature in spaces.

In this case, Euclidean geometry considers only spaces with no curvatures, whereas elliptic geometry considers spaces with a constant negative curvature and hyperbolic geometry makes with spaces with a constant positive curvature.

The elliptic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant negative curvature.

The hyperbolic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant positive curvature.

These formal systems were developed to demonstrate the possibility of the existence of geometries in which the fifth Euclidean postulate is not observed.

We kindly invite to check this question on non-Euclidean geometry: https://brainly.com/question/16972917

9514 1404 393

Answer:

  a4 = -666

Step-by-step explanation:

Use the recursive definition repeatedly.

  a1 = 6

  a2 = -5(6) +4 = -26

  a3 = -5(-26) +4 = 134

  a4 = -5(134) +4 = -666

Step-by-step explanation:

5 1/2% = 5.5% = 5.5/100 = 0.055

0.055 * 68 = 3.74

Answer:

3.74

Step-by-step explanation:

[tex]5\frac{1}{2}%[/tex] of 68

In order to do this you need to convert 5 1/2 into a decimal!

Answer: 5.5

Explanation: 5 is a whole number and half of one unit will be 0.5

5 + 0.5 = 5.5

Then multiply 5.5 and convert 68 into "0.68"

5.5 × 0.68 = 3.74

Answer: 3.74

Step-by-step explanation:

We use the symbol f − 1 to denote an inverse function. For example, if f (x) and g (x) are inverses of each other, then we can symbolically represent this statement as:

g(x) = f − 1(x) or f(x) = g−1(x)

One thing to note about the inverse function is that the inverse of a function is not the same as its reciprocal, i.e., f – 1 (x) ≠ 1/ f(x). This article will discuss how to find the inverse of a function.

Since not all functions have an inverse, it is therefore important to check whether a function has an inverse before embarking on determining its inverse.

We check whether or not a function has an inverse in order to avoid wasting time trying to find something that does not exist.

Answer:

2025 is not a perfect cube