What is the explicit formula for this sequence?
2, 10, 50,250, 1250....

Answer:

343.77°

Step-by-step explanation:

1 radian =  [tex]\frac{180}{Pi}[/tex]°

6 radians will be;

6 ×  [tex]\frac{180}{Pi}[/tex]° =343.7746771 °

Or 343.77° (rounded up to nearest hundredth)

Answer:

343.77

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

20=2(x-4)

therefore, x=14

Answer:

2(x -4) = 20

2x - 8 = 20

2x = 28

x = 14

Answer:

D is the correct answer.

Step-by-step explanation:

Step 1: Write the data

Total number of songs = 100

Total ratio = 1

Total percentage = 100%

Ratio of jazz songs = 1/4

Percentage of jazz songs = 1/4 x 100 = 25%

Ratio of pop songs = 1 - 1/4 = 3/4

Percentage of pop songs = 3/4 x 100 = 75%

Step 2: Match the statement.

The correct statement is D; 25% are Julian's songs are jazz because 1/4 = 25/100 and 75% are pop because 3/4 = 75/100.

!!

Answer:

It is terminating decimal expansion.

Step-by-step explanation:

17/3125 is a terminating decimal expansion.

REASON:

If the factors of the denominator are in the form of 2^n 5^m then the rational number is a terminating decimal expansion otherwise it is recurring. Here n and m are non negative integers.

Proof:

Lets have a look on the solution of the given term.

17/1325

We will break the denominator in the factors:

If we multiply 5 five times than it will give us 1325.

17/1325 = 17/5^5 * 2^0 = 17/2^0 * 5^5

We know that any number with exponent zero = 1

∴ 2^0 = 1

So it satisfies our explanation that the factors of the denominator are in the form of 2^n * 5^m and n and m are non negative integers.

Thus this term has a terminating decimal expansion....

Answer:

Two of the most important characteristics of seawater are temperature and salinity – together they control its density, which is the major factor governing the vertical movement of ocean waters. The temperature of seawater is fixed at the sea surface by heat exchange with the atmosphere.

Step-by-step explanation:

plz mark as brainliest..

Answer:

D

Step-by-step explanation:

The answer is anything less than $37,000 because that is how much he has to spend.  D. $34,000 is the only answer less than that, so D is the correct answer.

Answer:

what graph? there is no graph?

Answer:

1st and 3rd statements are true: 1) The inequality b=70<50 can be used to represent the situation and 2) The graph of the solution set will be shaded to the left.

Step-by-step explanation:

Lets look at this question step by step.

Therefore, the first statement is true; The inequality b=70<50 can be used to represent the situation.

This cannot be true because as heart rate increases, it gets lesser than 50 so in this case, 50 is greater than 70 not lesser than 70.

Moreover, if we take 50 to the right side, it will be 70 + 50 = 120 which is wrong because b is supposed to be less than 50.

This is true because b<50 and whenever there is a less than sign, the graph is shaded to the left.

These two statements cannot be true as be is supposed to be less than 50.

!!

Answer:

1 and 3

Step-by-step explanation:

pls give other person brainliest, they explained it very well:)

Answer:

Part a) The values of the function f(x) are {-1,5,11}

Part b) The value of g(5) is -4

Part c) The values of the function f(n) are {8,9,4}

Step-by-step explanation:

Part a) we have

f(x)=3x+5

Evaluate for  {-2,0,2}

1) For x=-2

substitute the value of x in the function

f(-2)=3(-2)+5=-1

2) For x=0

substitute the value of x in the function

f(0)=3(0)+5=5

3) For x=2

substitute the value of x in the function

f(2)=3(2)+5=11

Part b) we have

g(x)=x-9

Evaluate for x=5

substitute the value of x in the function

g(5)=5-9=-4

Part c) we have

f(n)=(3-n)+4

Evaluate for  {-1,-2,3}

1) For n=-1

substitute the value of n in the function

f(-1)=(3-(-1))+4=8

2) For n=-2

substitute the value of n in the function

f(-2)=(3-(-2))+4=9

3) For n=3

substitute the value of n in the function

f(3)=(3-(3))+4=4

Answer:

6m wide

14m long

Step-by-step explanation:

Let the length be represented by L.

Let the width be represented by W.

We are given we want the length to be 8 m longer than it's width.

So we want L=8+W.

The area of the rectangle is 84 m squared, this means that LW=84.

So I'm going to substitute L=8+W into LW=84.

LW=84

(8+W)W=84             (L=8W)

So we are going to solve (8+W)W=84 for W.

(8+W)W=84

Distribute:

8W+W^2=84

Rearrange left hand side using commutative property:

W^2+8W=84

Subtract 84 on both sides:

W^2+8W-84=0

Now to factor a quadratic with leading coefficient 1 (assuming it isn't prime) is to find two numbers that multiply to be c=-84 and add up to be b=8.

I'm going to play with factor pairs that multiply to be -84

c=-84=4(-21)=12(-7)=6(-14)

So the number we are looking for is -6 and 14 since -6(14)=-84 and -6+14=8.

The factored form of our equation is:

(W+14)(W-6)=0

This means we need to solve both W+14=0 and W-6=0.

W+14=0

W=-14  (I subtracted 14 on both sides)

W-6=0

W=6 (I added 6 on both sides)

The solution W=-14 makes no sense.

W=6 is the solution for the width.  That is the width is 6 m long.

Now the length is 8 more than the width so the length is 14 m long.

Answer:

6m wide  and  14m long

Step-by-step explanation:

If a rectangular flower bed is to be 8 m longer than it is wide and the flower bed will have an area of 84 m squared, its dimensions will be 6m wide  by  14m long.

L = length

W = Width

Answer:

[tex](3x-4)(x+1)[/tex]

Step-by-step explanation:

This is in the form [tex]ax^2+bx+c[/tex].

If your wish is to factor by grouping, then you goal is too look for two numbers that multiply to be [tex]ac[/tex] and adds up to be [tex]b[/tex].

Then once you find those numbers you replace b with those numbers.  Then the factor by grouping can be done.

So you have [tex]a=3,b=-1,c=-4[/tex]

[tex]ac=3(-4)[/tex]

[tex]b=-1[/tex]

The numbers that we need are already present since -4+3 is -1.

So replace -1 in

[tex]3x^2-1x-4[/tex]

with (-4+3)

[tex]3x^2-4x+3x-4[/tex]

Now group the first two terms together and group the last two terms together:

[tex](3x^2-4x)+(3x-4)[/tex]

Factor what you can from both pairs:

[tex]x(3x-4)+1(3x-4)[/tex]

Notice you have two terms: x(3x-4)  and 1(3x-4).  These terms have a common factor of (3x-4) so factor that out of our expression like so:

[tex](3x-4)(x+1)[/tex]

Check with foil if you like:

First: 3x(x)=3x^2

Outer: 3x(1)=3x

Inner: -4(x)=-4x

Last: -4(1)=-4

----------------------Add together:

3x^2-x-4

Answer: [tex]=(3x-4)(x+1)[/tex]

Step-by-step explanation:

Given the polynomial [tex]3x^2- x -4[/tex]

We can observe that it is written in this form:

[tex]ax^2+bx+c[/tex]

To factor completely, we need to follow these steps:

- Rewrite the term "b" as the sum of two terms whose product be [tex](3)(-4)=-12[/tex] and whose sum be -1:

[tex]=3x^2+(-4+3)x-4[/tex]

- Applying Distributive property, we get:

[tex]=3x^2-4x+3x-4[/tex]

- Make two groups of two terms each:

[tex]=(3x^2-4x)+(3x-4)[/tex]

- Factor out "x" from the first group and 1 from the second group:

 [tex]=x(3x-4)+1(3x-4)[/tex]

- Factoring out [tex](3x-4)[/tex], we get:

 [tex]=(3x-4)(x+1)[/tex]

Answer:

=6665

Step-by-step explanation:

The sum of a geometric series is given by:

Sn=a(1-rⁿ)/(1-r)

Sn is the sum of the first n terms, r is the rate and n is the number of terms.

r the quotient between any two consecutive numbers.

r=6/-1= -6

Sn=-1(1-(-6)⁶)/(1--6)

=46655/7

=6665

Sum of the first six terms=6665

Answer:

I would think that you would want to have the multivitamin and then a placebo, then conduct an experiment testing the results of the multivitamin and observe the effects on both groups taking the medicine.

Step-by-step explanation:

your control group would be the placebo and your experimental group would be the multivitamin...

Answer with explanation:

Objective of the experiment:

       The Multivitamin made by research company is beneficial or not for abolishing short term memory.  

Population

The population can be chosen from the largest city hospital where people are suffering from short term memory loss.

Suppose 100 people are suffering from short term memory loss.

Experimental and control group

  Suppose 40 people are being tested that is in experimental group and 60 people are in Control group.

Sample Procedure

After selecting 40 people in the experimental group , and then providing them Multivitamin for few days ,and then checking whether it is helping them to attain their memory or not is the procedure.

Answer:

(- 3, 2 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

X has coordinates X(- 2, 3 ), hence

X'(2, 3 ) ← after reflection in the y- axis

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x )

Hence

X'(2, 3 ) → X''(- 3, 2 ) ← final image point

The correct option will be option A: The final image point of X will be (-3,2).

The reflection about an axis is the transformation of the picture about an axis so that distance of every point from the axis before and after reflection will remain the same.

Here the coordinate of point X in triangle XYZ is (-2,3).

First, the triangle XYZ is reflected about the y-axis.

As we know, the reflection of the point of coordination (x,y) after reflection about the y-axis will be (-x,y).

(x,y)→(-x,y)

So the point X of coordination (-2,3) after reflection about the y-axis will be (2,3).

Then the reflected point is rotated about the origin.

As we know the rotation of the point of coordination (x,y) after rotation about origin will be (-y,x).

(x,y)→(-y,x)

So the point of coordination (2,3) after rotation about the origin will be (-3,2).

Therefore The final image point of X will be (-3,2).

Learn more about reflection

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Answer:

4√3

Step-by-step explanation:

The question is to simplify √6 × √8

Applying surds

√6 can be written as √2 ×√3

and

√8 can be written as √2 × √4

but √4=2

so;

√8 is 2√2

Write the whole question as

√2×√3×2√2

This can be written as

2√2×√2×√3

But you know √2×√2 = √4 =2

So, write as

2×2×√3 = 4√3

4√3 is the simplified form

Simplified form of expression √6 × √8 is,

⇒ 4√3

We have to given that,

An expression to simplify,

⇒ √6 × √8

Simplify as,

⇒ √6 × √8

Since, √6 = √2 × √3

√8 = √2 × √2 × √2

Hence, We can write as,

⇒ √6 × √8

⇒ √2 × √3 × √2 × √2 × √2

⇒ 4√3

Therefore, Simplified form of expression √6 × √8 is,

⇒ 4√3

Learn more about the multiplication visit:

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Answer:

t=-8

Step-by-step explanation:

-2 (t- 1) = 18

Divide each side by -2

-2 (t- 1)/-2 = 18/-2

t-1 = -9

Add 1 to each side

t-1+1 = -9+1

t = -8

Answer:

t = -8

Step-by-step explanation:

Isolate the variable, t. Note the equal sign, what you do to one side, you do to the other.

First, Divide -2 from both sides:

(-2(t - 1))/-2 = (18)/-2

t - 1 = 18/-2

t - 1 = -9

Isolate the variable t. Add 1 to both sides:

t - 1 (+1) = -9 (+1)

t = -9 + 1

t = -8

t = -8 is your answer.

~

Answer:

Value of A(34) = 219

Step-by-step explanation:

A1, A2,A3,A4,45,51,57,63 are in Arithmetic sequence

Common difference in this Arithmetic sequence = 63 - 57 = 06

so, A4 = 45 - 6 = 39

     A3 = 39 - 6 = 33

     A2 = 33 - 6 = 27

     A1 = 27 - 6 = 21

First term of Arithmetic sequence  = 21

Common difference = 06

Using general term of Arithmetic sequence,

A(n) =  First term + (n - 1) common difference

A(34) = 21 + (34 - 1) 6

A(34) = 21 + 33 × 6

A(34) = 21 + 198

A(34) = 219

Value of A(34) = 219

Answer:

C. f has a relative maximum at x = 1.

Step-by-step explanation:

A. False.  f(x) is concave down when f"(x) is negative.  f"(x) is the tangent slope of the graph, f'(x).  So f(x) is concave down between x = -1.5 and x = 1.5.

B. False.  f(x) is decreasing when f'(x) is negative.  So f(x) is decreasing in the intervals x < -3 and 1 < x < 2.

C. True.  f(x) has a relative maximum where f'(x) = 0 and changes from + to -.

Answer:

The correct option is A.

Step-by-step explanation:

It is given that Beth makes a scale drawing of her old business card by using the scale factor 5/4.

If the scale factor is less than 1, then it represents compression and if the  scale factor is greater than 1, then it represents enlargement.

Since the scale factor is greater than 1 so the scale drawing is an enlargement.

Let the initial dimension of business card is a by b.

Her scale drawing is [tex]2\frac{1}{2}[/tex] in by 5 in rectangle. Multiply each dimension by reciprocal of scale factor to find the dimension of original card.

[tex]a=2\frac{1}{2}\times \frac{4}{5}=\frac{5}{2}\times \frac{4}{5}=2[/tex]

[tex]b=5\times \frac{4}{5}=4[/tex]

The dimension of original card is 2 in by 4 in.

Therefore the correct option is A.

Answer: A

Step-by-step explanation:

Answer:

A 11

C 9

F 7

Step-by-step explanation:

6x≤ 66

Divide each side by 6

6x/6 ≤ 66/6

x ≤ 11

Any number less than or equal to 11 is a solutions

A 11   yes

B 53  no

C 9  yes

D 12  no

E 50  no

F 7 yes

Answer:

A) function

B) not function

C) not function

D) function

D has domain {1,3,5} and range {2,4,6}.

Step-by-step explanation:

So for a mapping diagram to show a function there can only be at most one line segment coming from a number in the first circle.

So let's look at the problems:

A) There is one segment coming from 2.  (2 to 1)

    There is one segment coming from 4.  (4 to 3)

    There is one segment coming from 6.   (6 ro 5).

So this is a function.

The domain is the first numbers: {2,4,6}.

The range is the second numbers: {1,3,5}.

B)  There is two segments coming from 1. So it is over with, this is not a function.

The domain is the first numbers: {0,1,4}.

The range is the second numbers: {-2,-1,0,1,2}.

C)  There is two segments coming from a. So it is over with, this is not a function.

The domain is the first numbers: {a,b,c}.

The range is the second numbers: {4,5,6,7}.

D) There is one segment coming from each 1, 3, and 5.  So this is a function.

The domain is the first numbers: {1,3,5}.

The range is the second numbers: {2,4,6}.

Answer:

1/24.

Step-by-step explanation:

Probability(Rolling an even number)

= 3/6 = 1/2.

Probability(Rolling a 3) = 1/6.

Required Probability = 1/2 * 1/2 * 1/6

= 1/24.

The probabilities are multiplied because the 3 events are independent.

Answer:

1/24

Step-by-step explanation:

A die has 6 faces with numbers 1 through 6. Three faces have even numbers, and 3 faces have odd numbers.

Each roll of the die can result in 6 different outcomes.

The total number different outcomes of rolling a die 3 times is 6 * 6 * 6 = 216.

There are 3 possible even number outcomes on the first roll, and another 3 possible even number outcomes on the second roll. The third roll needs to be a 3, so there is one single desired outcome of the third roll.

Total number of desired outcomes: 3 * 3 * 1 = 9

probability(even, even, 3) = 9/216 = 1/24

Answer:

the answer is 5(y-5x) (x-2)

Step-by-step explanation:

Answer:

[tex]5(x - 2)(y - 5x)[/tex]

Explanation

We want to factorize:

[tex]5xy - 25 {x}^{2} + 50x - 10y[/tex]

The factors have been grouped already. We now factor the GCF from each group to get:

[tex]5x(x- 5x) - 10(y - 5x)[/tex]

We factor further to obtain:

[tex](5x- 10)(y - 5x)[/tex]

We can still factor 5 to obtain:

[tex]5(x - 2)(y - 5x)[/tex]

Answer:

A. x+ 1 < 17

Step-by-step explanation

Customers = x persons

  Operator = 1 person

        Total = x + 1 persons

Total persons must be less than 17.

The inequality is

x + 1 < 17

Answer:

The z-statistic lies in the critical region

Step-by-step explanation:

When a hypothesis test is performed, the decision to reject or not reject the null hypothesis is made on basis of following observations:

In the given statement Zachary rejects the Null Hypothesis, this means the z-statistic she calculated must have been inside the critical or rejection region. Hence the correct answer would be:

The z-statistic lies in the critical region

Answer:     b) The z-statistic lies in the critical region.

ed21

Check the picture below.

Answer:

Option A. will be the answer.

Step-by-step explanation:

It is given in the diagram attached, AB and BC are the tangents to circle O.

We have to find the measure of ∠ABC.

By the theorem,

Measure of ∠ABC which inscribed within the tangents will be [tex]=\frac{1}{2}(arcADC-arcAC)[/tex]

[tex]=\frac{1}{2}(226-134)[/tex]

[tex]=\frac{1}{2}(92)[/tex]

= 46°

Option A. will be the answer.

Answer:

The coordinates of the midpoint of LN are [tex](-2\frac{1}{2},4\frac{1}{2})[/tex]

answer (4)

Step-by-step explanation:

* Lets explain how to find the midpoint of a line

- The coordinates of the midpoint of a line whose endpoints are (x1 , y1)

 and (x2 , y2) are [tex]x=\frac{x_{1}+x_{2}}{2},y=\frac{y_{1}+y_{2}}{2}[/tex]

∵ LMNO is a square

∵ The coordinates of point L are (-6 , 1)

∵ The coordinates of point N are (1 , 8)

- Let the coordinates of point L are (x1 , y1) , the coordinates of point

 N are (x2 , y2) and the coordinates of the midpoint of LN are (x , y)

∴ x1 = -6 , x2 = 1 and y1 = 1 , y2 = 8

- Use the rule of the midpoint above to find the midpoint (x , y)

∵ [tex]x=\frac{-6+1}{2}=\frac{-5}{2}=-2\frac{1}{2}[/tex]

∵ [tex]y=\frac{1+8}{2}=\frac{9}{4}=4\frac{1}{2}[/tex]

∴ The coordinates of the midpoint are [tex](-2\frac{1}{2},4\frac{1}{2})[/tex]

* The coordinates of the midpoint of LN are [tex](-2\frac{1}{2},4\frac{1}{2})[/tex]

Answer:

The answer should be D the fourth one

Step-by-step explanation:

Answer:

$31.95

Step-by-step explanation:

The total cost is the initial fee plus the cost of the boxes.

12 + 5×3.99 = 31.95

2354 bdxbdbdbht55675443t35222222222222222222222222

Answer:

[tex](x+3)(5x^2-2)[/tex]

Step-by-step explanation:

[tex]5x^3+15x^2-2x-6[/tex]

The grouping method means you are going to group some terms together and then factor what you can out of each pair to hopefully make the expression you started with factorable.

Let's try it.

[tex]5x^3+15x^2+-2x-6[/tex]

I like to insert a + in front of the last two terms if it isn't already one.  I think it makes it less confusing.

I'm going to group the first two terms together and I'm going to group the last two terms together like so:

[tex](5x^3+15x^2)+(-2x-6)[/tex]

Now I'm going to factor what I can out of each pairing.

[tex]5x^2(x+3)+-2(x+3)[/tex]

(*I always factor out negative number if the first term in the second pair has a negative on it.)

Now notice in each pairing, there is a common factor of (x+3) so I can factor that out.

The expression then becomes:

[tex](x+3)(5x^2-2)[/tex]

Final answer:

Yes, the grouping method can be used to factor the polynomial 5x³ + 15x² - 2x - 6, resulting in (x + 3)(5x² - 2) as the factored form.

Explanation:

The question is asking if we can use the grouping method to factor the polynomial 5x³ + 15x² - 2x - 6. Factoring by grouping is a technique where we group terms that have common factors and then factor each group individually.

To apply the grouping method to this polynomial, we would look for groups of terms that have common factors and try to factor out those common factors. Let's group the first two terms and the last two terms:

Group 1: 5x³ + 15x²

Group 2: -2x - 6

Factoring out the greatest common factor from each group, we get:

Group 1: 5x² (x + 3)

Group 2: -2 (x + 3)

Now, we can factor out the common binomial factor (x + 3):

(x + 3)(5x² - 2)

This is the factored form of the polynomial using the grouping method.

Answer:

[tex]\large\boxed{y=\sqrt[3]{x+3}+3}[/tex]

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x + n) - shift the graph n units to the left

f(x - n) - shift the graph n units to the right

===========================================

The original graph ( y = ∛x) shifted 3 units to the left and 3 units up.

Therefore, the new equation is:

y = ∛(x + 3) + 3

Answer:

The amount of money that Lexi had at the beginning was $131.25

Step-by-step explanation:

Let

x -----> amount of money that Lexi had at the beginning

y -----> amount of money that Maria had at the beginning

we know that

x+y=250 -----> equation A

(1-2/5)x=y-40

(3/5)x=y-40

y=(3/5)x+40 ----> equation B

substitute equation B in equation A and solve for x

x+(3/5)x+40=250

(8/5)x=250-40

(8/5)x=210

x=210*5/8

x=$131.25