10 ^ (th) term for AP-5,-10,-15,..... is :-(A) -955 (B) 50 (C) -50 (D) 955​

Answers

Answer 1

Answer:

C

Step-by-step explanation:

The nth term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 5 and d = a₂ - a₁ = - 10 - (- 5) = - 10 + 5 = - 5 , then

a₁₀ = - 5 + (9 × - 5) = - 5 - 45 = - 50 → C


Related Questions

An analyst estimates that a share price has an 80% probability of increasing if economic growth exceeds 3%, a 40% probability of increasing if economic growth is positive but less than 3%, and a 10% probability of increasing if economic growth is negative. If economic growth has a 25% probability of exceeding 3% and a 25% probability of being negative, what is the probability that the share price increases

Answers

14,15,16,17,18,10,45,45)

If a apple cost d dollars, which of the following expressions gives the cost for 20 apples in dollars?

Answers

Answer:

$ 20d

Step-by-step explanation:

Since each Apple costs d dollars , therefore 20 will cost , $ 20d .

The correct expression that gives the cost of 20 apples, in dollars, is 20a/d. So, correct option is A.

To find the cost of 20 apples, we need to determine the expression that correctly calculates the cost based on the given variables.

Given that a represents the cost of one apple in dollars and d represents the number of dollars, we can identify the expression that calculates the cost of 20 apples.

Let's analyze each option:

A. 20a/d: This expression calculates the cost of 20 apples by multiplying the cost of one apple (a) by 20 and then dividing by d. Therefore, this expression correctly gives the cost of 20 apples in dollars.

B. 20d/a: This expression calculates the cost of 20 apples by multiplying the number of dollars (d) by 20 and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.

C. a/20d: This expression calculates the cost of 20 apples by dividing the cost of one apple (a) by 20 and then dividing by d. This does not give the correct cost of 20 apples.

D. 20/ad: This expression calculates the cost of 20 apples by multiplying 20 by d and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.

Therefore, the correct expression that gives the cost of 20 apples, in dollars, is A. 20a/d.

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Complete question is:

If a apples cost d dollars, which of the following expressions gives the cost of 20 apples, in dollars?

A. 20a/d

B. 20d/a

C. a/20d

D. 20/ad

A circular garden is surrounded by a circular path of 7m width.If the area of path is 770m²,find the area of the garden without path.


help me this question ⁉️​

Answers

Answer:

Answer:

Radius of the circular garden

= 210 sq

=105m

Radius of the region covering the garden and the path =105m+7m

=112m

Area of the region between two concentric circles

with radius of outer circle R, and inner circle r =π(R sq−r sq)

Hence, the area of the path

=π(112sq−105 sq)= 7/22

(12544−11025)

= 33418/7

=4774m sq

HOPE THIS WILL HELP YOU MATE

Solve 3x – ly= 11 and -2x – 4y=-26 by elimination
If anyone can help me with this it’d be appreciated

Answers

Answer:

(5, 4 )

Step-by-step explanation:

Given the 2 equations

3x - y = 11 → (1)

- 2x - 4y = - 26 → (2)

Multiplying (1) by - 4 and adding to (2) will eliminate the y- term

- 12x + 4y = - 44 → (3)

Add (2) and (3) term by term to eliminate y

- 14x + 0 = - 70

- 14x = - 70 ( divide both sides by - 14 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (1)

3(5) - y = 11

15 - y = 11 ( subtract 15 from both sides )

- y = - 4 ( multiply both sides by - 1 )

y = 4

solution is (5, 4 )

ТУ
5
Which equation represents the graphed function?
4
0.3)
fo
(3.2)
2.
O y=-3x + 3
o y = 3x - 3
O y= 3x - }
1 2 3
5
X
5 % -3 -2 -11
-2
-3
O y=x+3
15

Answers

Answer:

[tex]y = -\frac{1}{3}x + 3[/tex]

Step-by-step explanation:

Required

The graph equation

From the graph, we have:

[tex](x_1,y_1) = (0,3)[/tex]

[tex](x_2,y_2) = (3,2)[/tex]

First, calculate the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{2-3}{3-0}[/tex]

[tex]m = \frac{-1}{3}[/tex]

[tex]m = -\frac{1}{3}[/tex]

The equation is calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = -\frac{1}{3}(x - 0) + 3[/tex]

[tex]y = -\frac{1}{3}(x) + 3[/tex]

[tex]y = -\frac{1}{3}x + 3[/tex]

The equation which represents the graphed function is; y = (-1/3)x + 3

Equation of a line

By observation, the graphed line crosses the y-axis at point; (0, 3). Hence, the y-intercept is at y= 3.

Additionally, the slope of the line can be evaluated by considering the two points given;

Slope, m = (2-3)/(3-0)

Slope, m = -1/3

Hence, the equation of the line is;

y = (-1/3)x + 3

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i need help multiplying these radicals:) there’s two: A) and B)

Answers

Answer:

Step-by-step explanation:

Well lets start with

(3*sqrt 2+ 1)(2*sqrt 3-4)

Lets multiply everything in the second parenthesis by 3*sqrt 2

2 sqrt 3 * 3 sqrt 2 =  6 sqrt 6

-4*3 sqrt 2 =  -12 sqrt 2

Now lets multiply everything by 1

1*2 sqrt 3 = 2 sqrt 3

1*-4 = -4

we have

-4  -12 [tex]\sqrt{2}[/tex]  +  6 [tex]\sqrt{6}[/tex]  + 2 [tex]\sqrt{3}[/tex]  as the awnser to problem A

Now lets do problem b

We can start by multiplying everything in the second parenthesis by 2

2*5=10

2*-1 *sqrt 3 = -2 sqrt 3

Now multiply everything in the second parenthesis by 2sqrt3

2sqrt 3 * 5 = 10 sqrt 3

2 sqrt 3 * -1* sqrt3 =  -6

Our final awnser is

10-6 +10 sqrt 3 -2 sqrt 3 ->  4+ 8 [tex]\sqrt{3}[/tex]

The awnser to question B is 4+ 8 [tex]\sqrt{3}[/tex]

pls give brainliest

There is the photo and the question
please show the working. ​

Answers

Final answer: solve for the the dividend and the divisor. Then divide and you should have the answer of 560

use the diagram to compute the perimeter and area of the triangle.​

Answers

Answer:

The area is 22.5 units

The perimeter is 24.3 units

Step-by-step explanation:

The formula for the area of a triangle is A=bh(1/2)

So, base*height (5*9) is 45. Divide that by 2, and you get 22.5.

To find the perimeter, it looks like the triangle is a right triangle. To solve for that, use the Pythagorean theorem formula: a2 + b2 = c2.

5^2+9^2=c^2

25+81=106=c^2

Find the square root of 106

10.2956301

If your teacher usually asks to round, round.

I'll just round to the tenths place. 10.3

Add all the sides: 5+9+10.3

You get 24.3

Answer:

perimeter= 24.29

area=22.5

Step-by-step explanation:

a^2+b^2=c^2

5^2+9^2=106

106^(1/2)=10.29

perimeter= sum of all sides

""= 5+9+10.29

""=22.29

area= base × height ÷ 2

""= (5×9)÷2

""=22.5

find the domain of f(x)=sec(2x)

Answers

Answer:

*Refer the image attached

Step-by-step explanation:

*Refer the image attached

f) 1 5/2 +8x4 =
alluda :(

Answers

Answer:

35.5

Step-by-step explanation:

1 5/2 + (8*4)= 35.5

(8*4)= 32

32+1 5/2

1 5/2=3 1/2

32+3 1/3

35.5 or 35 1/2

The equation d = m/v can be used to calculate the density,d, of an object with mass,m, and volume,V. Which is an equivalent equation solver for V?

Answers

Answer:

v = m/d

Step-by-step explanation:

since

[tex]d = \frac{m}{v} \: \\ \\ v = \frac{m}{d} [/tex]

The difference of twice a number and five is three.Find the number.Translate the world problem to an equation.Which steps describe how to solve the equation?

Answers

Answer:

Step-by-step explanation:

let the number=x

2x-5=3

2x=3+5

2x=8

x=8/2=4

A biased 3-coloured spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times.
If you spin this spinner 1000 times, how many times do you expect it to land on Red?
(Hint: Find n first)

Answers

Given:

A biased 3-colored spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times.

To find:

The expected number of times it land on Red if you spin this spinner 1000 times.

Solution:

A biased 3-colored spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times. So,

[tex]n+3n+8n=240[/tex]

[tex]12n=240[/tex]

[tex]n=\dfrac{240}{12}[/tex]

[tex]n=20[/tex]

The value of n is 20. It means the spinner land on red 20 times if the spinner was spun 240 times. So, the probability of getting red is:

[tex]P(Red)=\dfrac{20}{240}[/tex]

[tex]P(Red)=\dfrac{1}{12}[/tex]

If you spin this spinner 1000 times, then the expected number of times to getting red is:

[tex]E(Red)=1000\times P(Red)[/tex]

[tex]E(Red)=1000\times \dfrac{1}{12}[/tex]

[tex]E(Red)=83.333...[/tex]

[tex]E(Red)\approx 83[/tex]

Therefore, the expected number of times to land on red is 83.

Solve the system of equations.
5x – 4y = -10
y = 2 x – 5
x =
y =

Answers

Answer:

6x2+3y2=12,x+y=2,2x-y=-1x+y=4,x-y=2

Step-by-step explanation:

I just know.

Answer:

Step-by-step explanation:

5x – 4y = -10

y = 2 x – 5

Rearrage the equation:

5x – 4y = -10 (1)

-2 x +y =  5.  (2)

pluging variable y equation2 in 1

5x - 4•(2x-5) = -10

 -3x = -30

Solve equation [1] for the variable  x  

3x = 30

x = 10

x = 10

y = 2x-5

Use the  x  value to solve for  y  

y = 2(10)-5 = 15

x= 10

y= 15

Find the measure of the indicated angle

Answers

Answer:

[tex]given\Longrightarrow AB=AC[/tex]

[tex]\angle \;C=\angle \:B=60\ [isosceles ~triangle][/tex]

[tex]\angle~A+\angle~B+\angle~C=180[/tex]

[tex]x+60+60=180[/tex]

[tex]x+120=180[/tex]

[tex]x=180-120[/tex]

[tex]x=60[/tex]

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

HOPE IT HELPS

HAVE A GREAT DAY!!

Please help ASAP! D,:

What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you.


Answers:


14 units × 4 units

16 units × 8 units

24 units × 14 units

64 units × 4 units

Answers

16 units x 8 units. That’s the answer

find the missing side of each triangle. i need help!!!

Answers

Answer:

√161 yd

Step-by-step explanation:

Hi there!

We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.

We need to find x, which is the other leg in the triangle

If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse

In this case, a=8, b=x, and c=15

So let's substitute those values into the formula

(8)²+x²=(15)²

raise everything to the second power

64+x²=225

subtract 64 from both sides

x²=161

take the square root of both x and 161

x=√161, x=-√161

-√161 cannot work in this case, as distance cannot be negative.

The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further

so the answer is √161 yd

Hope this helps! :)

These tables of values represent continuous functions. In which table do the values represent an exponential function?​

Answers

Answer:

c

Step-by-step explanation:

An exponential function is a function where the number is raised to a constant power

exponential function is usually in the form : f(x) = [tex]a^{x}[/tex]

a is positive and not equal to 1

x is a real number

to determine which option is an exponential function, determine which of the options have a common ratio

Option A :

28/7 = 4

49 / 28 = 1.75

option C

12 / 4 = 3

36 /12 = 3

the correct answer is C

Y=2/7 -7 y=-x+2 What is the solution for this system of equations?​

Answers

Answer:

(61/7, -47/7)

Step-by-step explanation:

Given: y=2/7 -7

           y=-x+2

Rewrite the top equation ( y=2/7 -7

y = -47/7

y = -x + 2

Because both equations are equal to y, we can rewrite it again.

-47/7 = -x + 2

Add x to both sides

x + (-47/7) = 2

Add 47/7 to both sides.

x = 47/7 + 2/1

x = 61/7

As stated in the beginning, y is equal to -47/7

Hope you understand!

Isosceles triangle LMN is graphed with vertices L(0, 1), M(3, 5), and N(6,1). What is the slope of side LN?

Negative StartFraction 4 over 3 EndFraction.
0
StartFraction 4 Over 3 EndFraction.
3

Answers

Answer:

The slope is 0 the line is constant.

Step-by-step explanation:

.

The slope of side LN is 0.

What is an isosceles triangle?

In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.

Now, in the given isosceles triangle LMN,

Coordinates of vertices are,

L(x₁,y₁)  =  (0, 1),

M(x₂,y₂) = (3, 5), and

N(x₃,y₃) = (6,1)

The slope of side LN ,

Slope = (y₃ - y₁)/(x₃ - x₁)

Slope = (1-1)/(6-0)

Slope = 0

means " LN is a horizontal line".

Thus, the slope of side LN is 0.

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Please help me w the answer

Answers

Answer:

[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Step-by-step explanation:

In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.

The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:

[tex]\frac{()}{(x-4)(x-5)}[/tex]

The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be ([tex](x - 6)(x-10)[/tex]). Now one has this much of the function assembled

[tex]\frac{(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:

[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Show that the equation x^2−4x+y^2+6y+z^2−4=0 represents a sphere, then find its center and radius.

Answers

Step-by-step explanation:

here is the answer to thy question. Feel free to ask for more

URGENT HELP NOW PLEASE QUICKK!!!!

Answers

Answer:

(2,-2)

Step-by-step explanation:

Its just (-7+9 , 1-3)

Answer:

P' = (2,-2)

Step-by-step explanation:

P = (-7,1)

T(x,y) = (x + 9, y - 3)

(-7 + 9,1 - 3) = (2,-2)

Kala’s family is shopping for a large screen TV. The TV they decided on has a retail price of $1,000 at four stores. The state sales tax is 5%. Each store is offering a different sales promotion, as listed in the table.

Store
Promotional Offer
A
$80 rebate
B
10% discount on price
C
Store pays all sales tax
D
$40 rebate with store paying half of sales tax


Which store has the best deal?
store A
store B
store C
store D

Answers

Answer:

B-10% discount on price

Step-by-step explanation:

A - $1050 - 80 = $970

B - $900 + $45 = $945

C - $1000

D - $1025 - $985

Answer:

store b

Step-by-step explanation:

Need help ASAP !!!!!!

Answers

answer:

to test whether agraph is linear

Hi can i please get help on this question
Find the volume of this sphere.
Round to the nearest tenth.
16 ft
Formulas for Spheres

[? ] ft
Enter

Answers

Answer:

2144

formula us v = 3/4 × pi × half of the diameter (radius)

can someone please help me with my math assignment??? really need the answer today. And also please don't answer this if you didn't know or for just points​

Answers

Answer:

it cost 80 dollars

Step-by-step explanation:

cost per bag for X brand =25 $

cost per bag for y brand = 20$

minimize Z=(25X +20 y)

further formulate the problem

the given constraints are

2x + y equal 12

2x + 9y equal 36

2x + 3y equal 24

well on the graph given plot of the constraints

the corner points are

(0;0)

(6;0)

(0;4)

(9;2.5)

minimum z occurs at (0:4)

value of Z(minimum cost)=80$

Which of the following equations is used to find the value of c?

Answers

Answer:

D. [tex]a^{2} + b^{2} = c^{2}[/tex]

Step-by-step explanation:

Pythagorean Theorem

a squared plus b squared equals c squared (d) . This formula is used to find a specific side of a triangle.

18. The current in the Red Cedar River is 6 mph. A canoe can travel 7 miles downstream in the same time that it takes to travel 3 miles upstream when paddled at the same rate. Set up (but do not solve) a rational equation that could be used to find the rate the canoe is paddled, using x as this rate

Answers

Answer:

7/(6 + x) = 3/(6 - x)

Step-by-step explanation:

The current of the Red Cedar River (the speed with which the river is flowing), v = 6 mph

The time it takes the canoe to travel 7 miles downstream = The time it takes the canoe to paddle 3 miles upstream

Let x represent the rate of the canoe, we have;

7/(v + x) = 3/(v - x)

Substituting v = 6 mph, we get the following rational equation, from which the rate of the canoe, x, can be found;

7/(6 + x) = 3/(6 - x).

• Work out
3 1/2 X 1 3/5
Give
your answer as a mixed number in its simplest form

Answers

Answer:

5 3/5

Step-by-step explanation:

3 1/2 * 1 3/5

Change to  improper fractions

(2*3+1)/2  * (5*1+3)/5

7/2 * 8/5

56/10

Change back to a mixed number

50/10 +6/10

5 +3/5

5 3/5

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