The 3rd and 7th terms of an arithmetic progression are 6and 30 respectively determine the common difference, first term,10th term.​

Answer:

(x-3)^2+(y+1/2)^2=3.25

Step-by-step explanation:

The radius of the circle would be the midpoint of diameter. Radius is (3,-1/2) and the length would be 1.8.

Answer:

∠3z = 108 degrees

∠2z = 72 degrees

Step-by-step explanation:

First, we need to create an equation.

3z + 2z = 180

5z = 180

Divide both sides by 5:

z = 36

Now, substitute z for five for both angles.

3 x 36 = 108 degrees

2 x 36 = 72 degrees

Hope this helps!

If there is something wrong, please let me know.

Answer:

2

Step-by-step explanation:

8 ^ (5/3) ^ 1/5

We know a^b^c = a^(b*c)

8^ (5/3*1/5)

8^ 1/3

Rewriting 8 as 2^3

2^3 ^1/3

2 ^(3*1/3)

2^1

2

Answer:

2

Step-by-step explanation:

((2^3)^5/3)^1/5

= (2^5)^1/5

= 2

Answered by Gauthmath

Answer:

negative

Step-by-step explanation:

because when positive and negative integers are multiplied it results to a negative answer

Answer:

[tex]x = \frac{2000 }{(\frac{a+100}{100})}[/tex]

updated response , given that you confirmed the question....

if the percent is the variable a% then ....

[tex]x*(\frac{a+100}{100}) = 2000[/tex]

[tex]x = \frac{2000 }{(\frac{a+100}{100})}[/tex]

I think that there is missing information here ....

you can make any number work here the result of the number being increased by the percent has to be 2000...

so if if the number is 1000 then the percent would be 100%

if you make the number  1500 then the percent would be 33 1/3 %

Step-by-step explanation:

The number is [tex]\frac{2000}{(1+\frac{a}{100})}[/tex]

Let us assume that the number be x.

When the number x is increased by  a% the new number will be,

[tex]x(1+\frac{a}{100})[/tex]

Now, this number is decreased by 80%. So, the new number will be,

[tex]x(1+\frac{a}{100})*(1-\frac{80}{100} )\\=x(1+\frac{a}{100})*(1-0.8 )\\=x(1+\frac{a}{100})*0.20[/tex]

By the given condition,

When x increased by a% and decreased by 80% it becomes 400

Therefore, we can write

[tex]x(1+\frac{a}{100})*0.20=400[/tex]

[tex]x(1+\frac{a}{100})=\frac{400}{0.20}[/tex]

[tex]x(1+\frac{a}{100})=2000[/tex]

[tex]x=\frac{2000}{(1+\frac{a}{100})}[/tex]

So, the number will be [tex]\frac{2000}{(1+\frac{a}{100})}[/tex].

Learn more about the percentage change of a number please follow: https://brainly.com/question/26527346

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Answer:

Online Poll

We can conclude that

c. most Americans prefer Clay Aiken out of those former contestants.

Step-by-step explanation:

Sample responses received from the poll = 941,434

Proportion of voters for Clay Aiken = 55%

Computed proportion of voters for the other 5 contestants = 45% (100% - 55%)

This gives an average of 7.5% (45%/5) for the other 5 contestants.

Therefore, the conclusion is that "most Americans prefer Clay Aiken out of those former contestants" in the American Idol contest.

Answer:

abcdefghijklmnopqrstuvwxy and z

Step-by-step explanation:

Let missing side be x

Using basic proportionality theorem

[tex]\\ \sf\longmapsto \dfrac{6}{4}=\dfrac{x}{20-x}[/tex]

[tex]\\ \sf\longmapsto 6(20-x)=4x[/tex]

[tex]\\ \sf\longmapsto 120-6x=4x[/tex]

[tex]\\ \sf\longmapsto 120=6x+4x[/tex]

[tex]\\ \sf\longmapsto 120=10x[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{120}{10}[/tex]

[tex]\\ \sf\longmapsto x=20[/tex]

Answer:

(3, 6)

Step-by-step explanation:

The vertex form of a quadratic is y = a(x-h)^2 + k

where (h, k) is the point of the vertex. So the answer is (3,6)

Answer:

I I want everything in English

Step-by-step explanation:

it is difficult to read other languages write it in English please

Answer:

last one

Step-by-step explanation:

they both whole

Answer:

1/ab en (c/be^-x+c)

Step-by-step explanation:

Sure is a harsh question! Here's my Explanation

b+ce^x = t

ce^x an = dt

e^xan = dt/c

an = dt/ce^x = dt/c(t-b/c) = at/(t-b)

en = t-b/c

A/b+ce^x dx = a/t dt/t-b

a ∫1/t (t-b) dt = 1/a∫ (1/(t-b) - 1/t) dt

= 1/ab [∫1/(t-b) dt + ∫-1/t dt]

= 1/ab [en (t-b) - en(t)]

= 1/ab en ((t-b)/t)

t = b + ce^x

= 1/ab en (b+ce^x -b/b+ce^x)

=1/ab en (ce^x/b+ce^x)

= 1/ab en (c/be^-x+c)

Answer:

18

thả 5 sao nha.....

Step-by-step explanation:

..................

Answer:

0.5145

Step-by-step explanation:

Mean is also known as average. It is expressed as:

Mean  = Sum of data/Sample size

Sum of data = 0.33+0.33+0.54+0.46+0.30+0.77+0.42+0.44+0.60+0.32+0.47+0.64+0.61+0.69+0.41+0.39+0.66+0.60+0.61+0.70

Sum of data = 10.29

Sample size = 20

Mean = 10.29/20

Mean = 0.5145

Hence the mean of the data is 0.5145

Answer:

Graph C.

*See attachment below

Step-by-step explanation:

A graph that shows a set of ordered pairs representing a function would have each x-value being plotted against only one y-value. That is, every x-value must have exactly one y-value. Every x-value must not have more than 1 y-value being plotted against it.

The graph that shows this is the graph in option as shown in the attachment below.

Step-by-step explanation:

i don't know this language

Answer:

1.3809%

Step-by-step explanation:

Given ;

Sample size, n = 4500

Phat = 64% = 0.64

The margin of error :

Zcritical * √[Phat(1 - Phat) / n]

At 95% confidence level:

Zcritical at 95% = 1.96

Margin of Error :

1.96 * √[0.64(0.36) / 4500]

1.96 * 0.0071554

= 0.0138099

= 0.0138099 * 100%

= 1.3809%

Answer:

-9

Step-by-step explanation:

-2 3 + |7| - 4 · 2

I assume -2 3 means -2^3.

-2^3 + |7| - 4 · 2 =

= -8 + 7 - 8

= -1 - 8

= -9

Answer:

-9

Step-by-step explanation:

-2^ 3 + |7| - 4 · 2

Parentheses first and an absolute value is considered parentheses

-2 ^3 + 7 - 4 · 2

Then exponenets

Since the sign is outside of the exponent it is considered multiplication

-1 * (2^3)+ 7 - 4 · 2

-1 *8 + 7 - 4 · 2

Then multiply

-8 +7 -8

Then add and subtract from left to right

-1-8

-9

Answer:

a = 5.3

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

a^2 + 6^2 = 8^2

a^2 +36 = 64

a^2 = 64-32

a^2 =28

Taking the square root of each side

sqrt(a^2)  = sqrt(28)

a=5.29150

To the nearest tenth

a = 5.3

The length of the third side of the right triangle is; 5.3

The triangle given is a right triangle and hence, the length of the third side can be evaluated by using the Pythagoras theorem as follows;

a² = 8² -6²

a² = 64- 36

a² = 28

a = √28

a = 5.3

Read more on Pythagoras theorem;

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Answer:

167/346 or 0.483

Step-by-step explanation:

From the question given above, the following data were obtained:

Number of Tails (T) = 167

Number of Heads (H) = 179

Probability of tail, P(T) =?

Next, we shall determine total outcome. This can be obtained as follow:

Number of Tails (T) = 167

Number of Heads (H) = 179

Total outcome (S) =?

S = T + H

S = 167 + 179

Total outcome (S) = 346

Finally, we shall determine the probability of tails. This can be obtained as follow:

Number of Tails (T) = 167

Total outcome (S) = 346

Probability of tail, P(T) =?

P(T) = T / S

P(T) = 167 / 346

P(T) = 0.483

Thus, the probability of tails is 167/346 or 0.483

Answer:

a. The radius r = 5.42 cm and the height h = 10.84 cm

b. 553.73 cm²

c. i. Beauty ii. Design

Step-by-step explanation:

a. What would be the optimal dimensions (radius and height) to minimize surface area?

The volume of the standard container is a cylinder and its volume is V = πr²h where r = radius of container and h = height of container.

Since V = 1000 cm³,

1000 cm³ = πr²h  (1)

Now, the surface area of a cylinder is A = 2πr² + 2πrh where r and h are the radius and height of the cylinder.

From (1), h = 1000/πr².

Substituting h into A, we have

A = 2πr² + 2πrh

A = 2πr² + 2πr(1000/πr²)

A = 2πr² + 2000/r

To maximize A, we differentiate A with respect to r and equate to zero to find the value of r at which A is maximum.

So, dA/dr = d[2πr² + 2000/r]/dr

dA/dr = d[2πr²]/dr + d[2000/r]/dr

dA/dr = 4πr - 2000/r²

Equating the equation to zero, we have

4πr - 2000/r² = 0

4πr = 2000/r²

r³ = 2000/4π

r = ∛(1000/2π)

r = 10(1/∛(2π))

r = 10(1/∛(6.283))

r = 10/1.8453

r = 5.42 cm

To determine if this value of r gives a minimum for A, we differentiate dA/dr with respect to r.

So, d(dA/dr)/dr = d²A/dr²

= d[4πr - 2000/r²]/dr

= d[4πr]/dr - d[2000/r²]/dr

= 4π  + 4000/r³

Substituting r³ = 2000/4π into the equation, we have

d²A/dr² = 4π  + 4000/r³ = 4π  + 4000/(2000/4π) = 4π  + 2 × 4π = 4π + 8π = 12π > 0

Since d²A/dr² = 12π > 0, then r = 5.42 cm gives a minimum for A.

Since h = 1000/πr²

h = 1000/π(5.42)²

h = 1000/92.288

h = 10.84 cm

So, the radius r = 5.42 cm and the height h = 10.84 cm

b. What would the surface area be?

Since the surface area, A = 2πr² + 2πrh

Substituting the values of r and h into A, we have

A = 2πr² + 2πrh

A = 2πr(r + h)

A = 2π5.42(5.42 + 10.84)

A = 10.84π(16.26)

A = 176.2584π

A = 553.73 cm²

c. Suggest at least two reasons why this is different from the ice cream packaging that you see in the stores.​

i. Beauty

ii. Design

Step-by-step explanation:

jejejebe. s shs sjs sibskkw

Answer:

The range of the 95% data (X) =  238.3 days <  X < 289.9 days

Step-by-step explanation:

Given;

mean of the normal distribution, m = 264.1 days

standard deviation, d = 12.9 days

between two standard deviation below and above the mean is 96% of all the data.

two standard deviation below the mean = m - 2d

                                                                   = 264.1 - 2(12.9)

                                                                   = 238.3 days

two standard deviation above the mean = m + 2d

                                                                    = 264.1 + 2(12.9)

                                                                     = 289.9 days

The middle of the 95% of most pregnancies would be found in the following range;

238.3 days <  X < 289.9 days

If θ lies in the fourth quadrant, then sin(θ) < 0 and cos(θ) > 0. So we have from the Pythagorean identity,

sin²(θ) + cos²(θ) = 1   ==>   cos(θ) = +√(1 - sin²(θ)) = √21/5

Then

sec(θ) = 1/cos(θ) = 5/√21

and

tan(θ) = sin(θ)/cos(θ) = (-2/5)/(√21/5) = -2/√21

Answer:

The standard deviation associated with the time until I see my 25th customer is of 2.5 hours.

Step-by-step explanation:

In this problem, we have the mean time between x successes, which characterizes the exponential distribution.

As in this question context, the important thing to note is that for the exponential distribution, the mean and the standard deviation are the same.

Mean time before I get my 25th customer is 2.5 hours, what is the standard deviation associated with the time until I see my 25th customer?

They are the same in the exponential distribution, so 2.5 hours.

Answer:

y"= 2 wich is positive

Step-by-step explanation:

Step-by-step explanation:

Our equation is: y=(x-3)²

x should be replaced by x-4

y=(x-3)²

y=[(x-4)-3]²

y=(x-4-3)²

y=(x-7)²

The graph is still a parabola but with a different vertex

The vertex here is :

y= (x-7)²

y= x²-14x-49

y'= 2x-14

solve y'=0

2x-14=0

2x=14

x=7

You can easily find it without derivating by dividing -14 by -2

since: x²-14x-49

a=1 b= -14  c=-49

-b/2a = 14/2 = 7

the image of 7 is:

y=(7-7)² = 0

so the coordinates of the new vertex are (7,0) and it's a maximum

since y">0

y'= 2x-14

y"= 2 wich is positive

9514 1404 393

Answer:

  D, C

Step-by-step explanation:

The only two rational expressions that have appropriate denominators are ...

  1/(x² +6x) . . . contributes a factor of x to the denominator

  (x+2)/(x² -36) . . . contributes a factor of (x -6) to the denominator

The proper order in the expression is ...

  [tex]\displaystyle\dfrac{x+2}{x^2-36}-\dfrac{1}{x^2+6x}=\dfrac{x^2+x+6}{x(x-6)(x+6)}[/tex]

Answer:

(x+2/x^2-36) - (1/x^2+6x) = (x^2+x+6/x(x-6)(x+6))

Step-by-step explanation:

I hope that helps

Answer:

x = 5

Step-by-step explanation:

I'm assuming that 3x +1 & 4x + 5 are all underneath the square root

2 √3x + 1  - √4x + 5 = 3

2 √3x + 1 = 3 + √4x + 5

4 (3x+1) = 9 + 6 √4x + 5 + 4x + 5

12x + 4 = 14 + 6√4x + 5 + 4x

-6 √4x + 5 = 14 + 4x - 12x - 4

-6 √4x + 5 = 10 - 8x

3 √4x + 5 = -5 + 4x  (divided both sides by - 2)

9 (4x +5) = 16x^2 - 40x + 25

36x + 45 = 16x^2 - 40x + 25

36x + 45 - 16x^2 + 40x - 25 = 0

76x + 20 - 16x^2 = 0

-16x^2 + 76x + 20 = 0

4x^2 - 19x -5 = 0  (dividied by -4)

4x^2 + x - 20x -5 = 0

x (4x + 1) -5 (4x +1) = 0

(4x +1) (x-5) = 0

Possible answers:

4x + 1 = 0

x - 5 = 0

x = -1/4

x =5

Now we will check which one satisfies the equation

2√3x+1 - √4x+5  

Substitue 5 for x and we get 3

Thus we know that 5 is the correct answer

Answered by Gauthmath

Work Shown:

30 min = 30/60 = 0.5 hours

distance = rate*time

rate = distance/time

rate = (2450 miles)/(0.5 hours)

rate = (2450/0.5) mph

rate = 4900 mph

For the sake of comparison, a typical commercial passenger jet can reach max speeds of about 600 mph.