In an A.P the term is -10 and the 15th term is 11 and the last term is 41. Find the sum of all terms in this progression.​

Answer:

6

Step-by-step explanation

Answer:

6

Step-by-step explanation:

plug in the 3

4(3-3)+5(3)-3^2

4(0)+15-9

0+15-9

15-9

6

Answer:

[tex] {f}^{ - 1}(0) = 6[/tex]

Step-by-step explanation:

When trying to solve for inverses, we are given a y value in place of an x value. Thus we are solving for the x value which the given y value corresponds to.

Answer:

32

Step-by-step explanation:

Answer:

6 minutes

Step-by-step explanation:

1 minute = 60 seconds

LCM of 60 and 72 = 360

360 seconds = 6 minutes

Each of the first 3 letters can be chosen from the 23 letters, {A, B, C, …, U, V, W}, so there are 23³ possible choices.

The first 2 digits can be any number from {0, 1, 2, …, 9}, so there are 10² choices.

The last digit cannot be 0 or 9, so you can select from {1, 2, 3, …, 8} which gives 8 choices.

Then the total number of PINs that you can make is

23³ × 10² × 8 = 9,733,600

Answer:

-6, 0

Step-by-step explanation:

since the first question is a inverse function, the -15 isn't an x value anymore so it is a y.

the second question is the same thing for the 4 because it is an inverse function. so that would be -11, and the function of 9 you would look at the x value of 9 and find the corresponding y, which 11. so -11+11 =0

Answer:

3 times

I hope this will help you

Answer:

It's a combination, BUT...

Step-by-step explanation:

Definition: A combination is a grouping of outcomes in which the order does not matter. That's the difference between combination and permutation.

Combination Formula: nCr = (n!)/[r!(n-r)!)] where n stands for number of things and r the pair chosen

Applied to this case: We have n=5 (12345) and r=5 for the 5-digit lock combination.

5C5 = (5!)/[5!(5-5)] = 1

But!! As you can see, we cannot have 1 possible combinations so.. We have to assume that this is a permutation!!! Conceptually, this looks pretty much like a combination, but being the same range as number of items, we conclude that it's a permutation.

Permutation Formula: nPr = (n!)/(n-r)!

nPr = (5!)/(5-5)! = 120

Well, this looks way more accurate now, right?

Final Answer: The scenario involves a permutation, and there's 120 possible combinations of those 5 numbers in a 5-digit lock.

Answer:

890 beads can be fitted in the triangular prism.

Step-by-step explanation:

If we can fill the spherical beads completely in the triangular prism,

Volume of the triangular prism = Volume of the spherical beads

Volume of triangular prism = Area of the triangular base × Height

From the picture attached,

Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(AB)(BC)[/tex]

By applying Pythagoras theorem in the given triangle,

AC² = AB² + BC²

(13)² = 5² + BC²

169 = 25 + BC²

BC² = 144

BC = 12

Area of the triangular base = [tex]\frac{1}{2}(5)(12)[/tex]

                                             = 30 cm²

Height of the triangular prism = 18 cm

Volume of the triangular prism = 30 × 18

                                                   = 540 cm³

Volume of one spherical bead = [tex]\frac{4}{3}\pi r^{3}[/tex]

                                                   = [tex]\frac{4}{3}\pi (0.525)^{3}[/tex]

                                                   = 0.606 cm³

Let there are 'n' beads in the triangular prism,

Volume of 'n' beads = Volume of the prism

540 = 0.606n

n = 890.90

n ≈ 890

Therefore, 890 beads can be fitted in the triangular prism.

Answer: B. 74 cm

Step-by-step explanation:

Concept:

Here, we need to know the idea of unit conversion and perimeter.

When there are multiple units in a question, then we should convert all units into one through converting factors.

Perimeter is the distance around a two-dimensional figure.

P = 2 (w + l)

1 cm = 10 mm

Solve:

140 mm = 14 cm

230 mm = 23 cm

P = 2 (w + l) ⇒ Given

P = 2 (14 + 23) ⇒ Substitute

P = 2 (37) ⇒ Addition

P = 74 cm ⇒ Simplify through muliplication

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = ± 10

Step-by-step explanation:

To solve the equation let y = 0 , that is

0 = 100 - x²( add x² to both sides )

x² = 100 (I take the square root of both sides )

x = ± [tex]\sqrt{100}[/tex] = ± 10

Then solution is x = - 10, x = 10

Answer:

10

Step-by-step explanation:

the guy on top put -10 he's right but it's just 10

Answer:

7/12

Step-by-step explanation:

Total = 10W+14R

probability of red = R/total

10+14 = 24 so total = 24

R = 14

14/24

reduce (divide by two on the top and bottom)

14/2

-------

24/2

= 7/12

Answer:

1.22

Step-by-step explanation:

divide 8.54 by 7 to get one serving

Answer:

70km and 80km

The option you chose is correct

Answer:

70 km and 80 km.

First city:

[tex]{ \tt{ = \frac{7}{15} \times 150 }} \\ = 70 \: km[/tex]

Second city:

[tex]{ \tt{ = \frac{8}{15} \times 150}} \\ = 80 \: km[/tex]

Answer:

it's option B the second one

Answer:

on my screen I cant see anything sorry!

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

....

Answer:

$17

Step-by-step explanation:

You reverse the operation, and you do 85 divided by 5, which is 17. Have an amazing day!!

Answer:

false

Step-by-step explanation:

x=4andy=7

2×4+7 isnot equal to 7

Answer:

Tue equation is

y=2x+7

So, the answer is

(2,7)

And (4,7) is wrong

Answer:

G is the midpoint of the side [tex]\overline {AB}[/tex] of triangle ΔOAB

Step-by-step explanation:

The vertices of the triangle ΔOAB are A(-15, 0), B(0, 8), and C(0, 0)

The coordinates of the point G =  (-7.5, 4)

The length from the point A to the point G, [tex]\overline {AG}[/tex] is given as follows;

[tex]\overline {AG} =\sqrt{(-7.5 - (-15))^2 + (4 - 0)^2} = \sqrt{7.5^2 + 4^2} = 8.5[/tex]

The length from the point A to the point B, [tex]\overline {AB}[/tex] is given as follows;

[tex]\overline {AB} =\sqrt{(-15 - 0)^2 + (8 - 0)^2} = \sqrt{15^2 + 8^2} = 17[/tex]

Therefore, the point G is the half way mark of [tex]\overline {AB}[/tex] = The midpoint of the side  [tex]\overline {AB}[/tex]

Answer:

B) 8in

Step-by-step explanation:

Answer:

Step-by-step explanation:

so we know a few things about t his triangle,  it's a special one  :P  ,   it's called isosceles because  two of the legs are the same length, which also mean that the angle x  is the same at the other unknown angle sooo  there are  2 x's   if that makes sense?  and then we can solve this , b/c we also know that the interior angles of a triangle add up to 180°

180 = 32 + 2x

148 = 2x

74 =x

∠x = 74°

Answer:

x=24

Step-by-step explanation:

Answer:

BC = 24

Step-by-step explanation:

Since ∠ B and ∠ C are congruent the the triangle is isosceles with

AC = AB , that is

3x - 15 = x + 33 ( subtract x from both sides )

2x - 15 = 33 ( add 15 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24

Then

BC = x = 24

Answer:

Step-by-step explanation:

(1). Maryam's answer is correct.

(2). x = 2

Answer:

B

Step-by-step explanation:

We are given a quadratic function f(x) whose zeros are at x = -2 and x = 6.

And we want to determine its axis of symmetry.

Recall that a parabola is symmetric about its axis of symmetry.

Therefore, the axis of symmetry is directly in the middle of the two roots.

Find the average of the roots:

[tex]\displaystyle x=\frac{(-2)+(6)}{2}=\frac{4}{2}=2[/tex]

Hence, the axis of symmetry is x = 2.

Our answer is B.

In general, if we are given the two zeros p and q of a quadratic and we want to find the axis of symmetry x, it is given by:

[tex]\displaystyle x = \frac{p+q}{2}[/tex]

Answer:

Not a solution.

Step-by-step explanation:

y = 5x + 9

-3 = 5(-2) + 9

-3 = -10 + 9

-3 ≠ -1

The point given is not on the line. It is NOT a solution to the equation.

Hope this helps.

Answer:

54 or 57 (read explanation below)

Step-by-step explanation:

There is a mistake in the problem.

The bottom base has length 10 not 11.

Using the correct length of 10, the area is:

A = (1/2)h(b1 + b2)

A = (1/2)(6)(10 + 8)

A = 3(18)

A = 58

Using the incorrect length of 11, the area is:

A = (1/2)h(b1 + b2)

A = (1/2)(6)(11 + 8)

A = 3(19)

A = 57

Answer:

5x

Step-by-step explanation:

[tex] {x}^{2} + {3x}^{2} - {4x}^{2} + 5x \\= 4 {x}^{2} - 4 {x}^{2} + 5x \\ = 5x[/tex]

Answer:

[tex]a = 2[/tex]

[tex]b = 2^{1/6}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[3]{x^{10}} = a^3 * \sqrt b[/tex]

[tex]x = -2[/tex]

Required

Find a and b

We have:

[tex]\sqrt[3]{x^{10}} = a^3 * \sqrt b[/tex]

Substitute -2 for x

[tex]\sqrt[3]{(-2)^{10}} = a^3 * \sqrt b[/tex]

[tex]\sqrt[3]{1024} = a^3 * \sqrt b[/tex]

Expand

[tex]\sqrt[3]{2^9 * 2} = a^3 * \sqrt b[/tex]

Split the exponents

[tex]2^{(9/3)} * 2^{(1/3)} = a^3 * \sqrt b[/tex]

[tex]2^{3} * 2^{1/3} = a^3 * \sqrt b[/tex]

By comparison:

[tex]a^3 = 2^3[/tex]

So;

[tex]a = 2[/tex]

and

[tex]\sqrt b = 2^{1/3}[/tex]

Take square roots of both sides

[tex]b = 2^{1/6}[/tex]

Answer: -8, -2

Step-by-step explanation: (the previous answers are ) 1. D 2. C 3. -8,-2 (for reference of order :))