Write the formula for the sequence: 10,6.5,3,−0.5,−4...
A. an= 3.5n − 10
B. an= 3.5n- 4
C. an= 10 - 3.5n
D. an= 13.5 - 3.5n

Answer:

fjfj dhfj dh. hfhc hfh hfh hfh hfh hcdh

Answer:

12x

Step-by-step explanation:

12(5-4x)=60-48x

=12x

The graph to determine an equation of the circle in

(a) center radius form

(b) general form

 (x -3)² +(y -1)² = 4 . . . . center-radius form

 x² +y² -6x -2y +6 = 0 . . . . general form

The "center-radius" form is

 (x -h)² +(y -k)² = r² . . . . . . . circle with center (h, k) and radius r

The graphed circle has its center at (3,1) and a radius of 2. Putting these numbers into the above form gives the equation

 (x -3)² +(y -1)² = 4 . . . . center-radius form

Expanding the parentheses, we get

 x² -6x +9 +y² -2y +1 = 4

Subtracting 4, and putting in general form, the equation becomes ...

 x² +y² -6x -2y +6 = 0 . . . . general form

a graph (inclusive of a sequence of one or greater factors, strains, line segments, curves, or areas) that represents the variant of a variable in assessment with that of one or greater other variables. the gathering of all factors whose coordinates fulfill a given relation (inclusive of a function)

A graph of a function is a unique case of a relation. within the modern foundations of mathematics, and, generally, in set theory, a function is clearly same to its graph. however, it is regularly useful to look functions as mappings, which consist no longer best of the relation among enter and output, but additionally which set is the domain, and which set is the codomain. as an instance, to mention that a characteristic is onto (surjective) or not the codomain have to be taken under consideration

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The probability of 0.21 and would not warrant a refund. Therefore,  option A is the correct answer.

Given that, mean depth =0.98 mm, standard deviation =0.35 mm.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

We are given that the distribution of tire tread is a bell-shaped distribution that is a normal distribution.

Formula: [tex]Z_{score}=\frac{x-\mu}{\sigma}[/tex]

Here, P(depth less than 0.70 mm)

P(x < 0.70)

Then, P(x < 0.70)=P(z<(0.70-0.98)/0.35)

=P(z<(-0.8)

Calculating from the normal z table, we get P(z<(-0.8)=0.212

≈0.21

Thus, the probability of 0.21 and would not warrant a refund. Therefore,  option A is the correct answer.

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If a person from this group is selected at random, the probability that this person has type AB blood is 0.0928

From the question we have the total number of persons that there blood types have been collected as 700.

The number of people that have the AB blood type is given as 65.

Hence the probability would be

65 / 700

= 0.0928.

This is the term that is used in the field of mathematics to refer to the likelihood of something occurring. It tells us of the chances that may be present that would show that a certain phenomenon would occur.

Hence the probability is 0.0928

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[tex] \large \bf \implies{15 \:minutes}[/tex]

In this question speed remain same

[tex] \bf \longrightarrow{Apply \: \frac{d_1}{d_2} = \frac{t_1}{t_2} }[/tex]

[tex] \bf \longrightarrow{\frac{6}{5400} = \frac{1}{t_2} }[/tex]

[tex] \bf \longrightarrow{t_2 = 900 \: second}[/tex]

Convert this second into minutes

[tex] \bf \longrightarrow{1min = 60sec} \\ \bf \longrightarrow{1sec = \frac{1}{60} min} \\ \bf \longrightarrow{ \frac{900}{60} = 15min}[/tex]

The price of 1 hamburger is $4.6 and 1 fish sandwich is $5.2

Let 1 hamburger be x

Let 1 fish sandwich be y

Thus, we have:

3x + 2y= 24.20...... eq 1

4x + y= 23.60........ eq 2

Let's use the substitution method here:

Make y the subject formula in eq 2

y= 23.60 - 4x......... eq 3

Put the value of y into eq 1

3x + 2(23.60 - 4x) = 24.20

3x + 47.2 - 8x = 24.20

-5x + 47.2 = 24.20

Exchange values to eliminate the negative symbol

5x = 47.2- 24.20

5x= 23

x= 4.6

Put the value of x into eq 3

23.60- 4(4.6)

y= 23.60-18.4

y= $5.2

Therefore, the price of 1 hamburger is $4.6 and 1 fish sandwich is $5.2

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a) reflection in the line x = -2 is P'Q'R' is shown.

b) The coordinates of image P'Q'R' are

(-12, 0), (-18, -9), R(-5,-5) respectively.

Part a) reflection in the line x = -2

When the triangle PQR with the coordinates P(-4, 0), Q(-6, -3), and R(-5,-5) made a reflection along the x = -2, the coordinates of the image are obtained as;

See the graph; image triangle P'Q'R';

P' = (0, 0)

Q' = (2, -3)

R' = (1, -5)

Part b) dilation with scale factor of 3 using (-1, -4) as the center.

Let the coordinates are;

(x, y) ---> (kx, ky); where k is the scale factor i.e, 3.

This can be written as; (3x, 3y).

For the point  P(-4, 0).

The image of P' = (-4×3, 0×3) = (-12, 0)

For the point  Q(-6, -3)

The image of Q' = (-6×3, -3×3) = (-18, -9)

For the point R(-5,-5)

The image of P' = (-5×3, -5×3) = (-15, -15)

Therefore, the image with the dilation of scale factor of 3 is P'Q'R' are

(-12, 0), (-18, -9), R(-5,-5) respectively.

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Answer:

Each person would get 1/12 of the original pie

Step-by-step explanation:

3×4=12 1/3÷4=1/12

Answer: (-∞, -1] and (0, 2)

Step-by-step explanation:

Can't compare f(x) = x+1 when x<=0 with g(x)=x+1 when x>-1 since the functions are equal between -1<x<=0.

Compare f(x) = 3 when x>0 with g(x)=x+1 when x>-1

g(x) can't be greater than or equal to f(x):

g(x)<f(x)

x+1<3

x+1-1<3-1

x<2 and x>0 ==> 0<x<2

0<x<2 ==> (0, 2)  ==> x is between 0 and 2 not including 0 and 2.

Compare f(x) = x+1 when x<=0 with g(x)=2x when x<=-1. Both equations have common x-values at x<=-1.

g(x)<f(x)

2x<x+1

2x-x<x-x+1

x<1 and x<=-1 ==> x<=-1

x<=-1 ==> (-∞, -1] ==> x is between -∞ and -1 not including -∞ but including -1.

(-∞, -1] and (0, 2)

The order of numbers from least to greatest :

0.0099998 < 0.059 < 0.09 < 0.11 < 0.111 .

Given, numbers  0.059 , 0.11 , 0.09 , 0.0099998 , 0.111 .

Ascending order : When the set of numbers are to be arranged in least to greatest order.

Descending order : When the set of numbers are to be arranged in greatest to least order.

Now the numbers are to be arranged in ascending order.

Least number : 0.0099998

Second least number : 0.059

Third least number : 0.09

Fourth least number : 0.11

Greatest number : 0.111

Thus the order of numbers in ascending order will be least to greatest .

0.0099998 < 0.059 < 0.09 < 0.11 < 0.111

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The square root of 3 is not greater than the square root of 10/2.  

This is because the square root of 3 is 1. 73 and the square root of 10/2 is 2. 24

The square root of a number can be defined as the factor that when multiplied by itself gives the original number.

The square root is represented with the symbol " √"

From the information given, we are to determine which is greater between the square root of 3 and the square root of 10/2

The expression is represented as;

√ 3

√10/2

Now, let's simply the square root

√3

Find the square root

= 1. 73

√10/2

Find the quotient of 10/2 first, then substitute the value to find the square root, we have;

10/ 2

5

Find the square root of 5

√5 = 2. 24

We can see that the square root of 3 is not greater than the square root of 10/2

Thus, the square root of 3 is not greater than the square root of 10/2

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the ratio of the amount of watermelon juice to the amount of apple juice to the amount of orange juice in its simplest form is 12 : 27 : 14.

The ratio of the amount of watermelon juice to the amount of apple juice = 4 : 9

This can also be written as:

4 × 3 : 9 × 3

12 : 27

The ratio of the amount of apple juice to the amount of orange juice = 27 : 14

Now, the ratio of the amount of watermelon juice to the amount of apple juice to the amount of orange juice will be:

Ratio = 12 : 27 : 14

Therefore, the ratio of the amount of watermelon juice to the amount of apple juice to the amount of orange juice in its simplest form is 12 : 27 : 14.

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Answer:

256

Step-by-step explanation:

The number of subsets of a set with n elements is 2^n.

The total price of the financed is $7,973

The total finance charges are $2,272.31

The monthly payment if the vehicle is financed for 3 years is $284.59

What is the impact of trade-in allowance on selling price?

The trade-in allowance on the car's selling price reduces the total amount the car dealer would charge a tax of 8% on.

selling price net of trade in allowance=$8850-$1500

selling price net of trade-in allowance=$7,350

the selling price plus sales tax=$7350*(1+8%)

the selling price plus sales tax=$7,938.00

total cost including title fee =$7,938+$35

total cost including title fee=$7,973

finance charges for 3 years=$7,973*9.5%*3

finance charges for 3 years=$2,272.31

monthly payment=($7,973+$2,272.31)/36

monthly payment=$284.59

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The range of the given function is B. {y | y = –7, –1, 0, 9}  

It should be noted that ee usually denote independent variable as x and dependent variable as y.

The range of a function is basically the set of all resulting y-values.

Given the first column is labeled x with entries - 5, 1, 4, 6. The second column is labeled y with entries 9, 0,-7, -1.

Then, the  range of the given function = values in second columns

i.e. Range={y | y = –7, –1, 0, 9}  [Arranged in order].

In conclusion, the correct option is B.

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The digits for the missing number are 1, 2, 3, 4.

The difference between her vault score and her uneven bar score is 0.367

The floor score must be higher than 15.133 and lower than 15.500

The missing digit must be an integer.

Then all the possible scores are: 15.166 , 15.266 , 15.366 and 15.466

Because 15.166 > 15.133 and 15.466 < 15.500

Then all the possible digits are 1 , 2 , 3 , 4

The difference between her vault score and her uneven bar score is  

= 15.500 - 15.133

= 0.367

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Ana’s gymnastics scores were posted on the scoreboard in order from highest to lowest score. One digit in her floor score is not visible. List all the possible digits for the missing number.

Vault- 15.500

Floor- 15._66

Uneven Bars- 15.133

Beam- 14.200

What is the difference between her vault score and her uneven bar score?

The reason why multiplying a number by 10 moves the decimal to the right is because the number is increasing. When the decimal moves left when multiplied by 0.01, the number is decreasing.

When you multiply by powers of 10 which are positive, the number that is being multiplied will see its decimal move to the right. This is to show that the number is now increasing in value.

When you multiply by 0.01 however, the number will decrease and so the decimal will have to move left to show that the value of the number has decreased. For instance, 50 x 0.01 becomes 0.5.

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Answer:

60 percent

Step-by-step explanation:

just do 90/150, and yo get 60 percent

9

Step-by-step explanation:

PEMDAS

inside parentheses we have 3*2 = 6

9-6 =3

3^2 = 9

Answer:

$2.14 per pound

Step-by-step explanation:

To find this: do 6.42 divided by 3, will give you the unit price

The solution for the equation x² – 4x – 45 = 0 is (x – 9) (x + 5)

Given,

Quadratic equation = x² – 4x – 45

We can solve this by using quadratic formula.

Equations of the form ax² + bx + c = 0 can be solved using quadratic formula.

Here the equation is in the form of above mentioned:

x² – 4x – 45 = 0

Quadratic formula = [tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]

Substitute the values in the formula,

x = [tex]\frac{-(-4)(+-)\sqrt{(-4)^{2}-4(-45) } }{2}[/tex]

x = [tex]\frac{4(+-)\sqrt{16 -4(-45)} }{2}[/tex]

x = [tex]\frac{4(+-)\sqrt{16+180} }{2}[/tex]

x = [tex]\frac{4(+-)\sqrt{196} }{2}[/tex]

x = [tex]\frac{4(+-)14}{2}[/tex]

Now, solve the equation for:

x = [tex]\frac{4+14}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9

Next, solve the equation for:

x = [tex]\frac{4-14}{2}[/tex] = [tex]\frac{-10}{2}[/tex] = -5

According to ax² + bx + c = a(x - x₁) (x - x₂),

Here, x₁ is 9 and x₂ is -5

So,

x² - 4x - 45 = ( x - 9) (x - (-5))

That is,

x² - 4x - 45 = (x - 9) (x + 5)

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Answer:

$7

Step-by-step explanation:

If the total spending is $21, and he bought 3 items, we have to divide 21 by 3 and that makes 7

Hope it helped!

Answer:

7

Step-by-step explanation:

because each item is the same

let the item be 3x=21(given)

so x=21/3

therefore x = 7

come on this is easy

Answer:12

Step-by-step explanation:

cuz yes

Star B is roughly 12 billion years old as star A.

In the situation given in the question where start A is 12 billion years old and star B is from the same cluster as star B.

Therefore, star B is roughly 12 billion years old.

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The coordinates of the vertices of A'B'C'D' after a translation will be ( 2, -1 ), ( 5, 1), ( 6, -1), and ( 5, -3) respectively.

The translation is the action of moving the image's position relative to the coordinate system. The points are translated on a coordinate plane.

Given that quadrilateral, ABCD has coordinates A (0, 2), B (3, 4), C (4,2), and D (3,0).

The translation of the points will be done as below:-

A(0, 2)  ⇒  ( 2, -1 )

B (3, 4) ⇒   ( 5, 1)

C (4,2) ⇒   ( 6, -1)

D (3,0) ⇒   ( 5, -3)

Therefore, the coordinates of the vertices of A'B'C'D' after a translation will be ( 2, -1 ), ( 5, 1), ( 6, -1), and ( 5, -3) respectively.

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Using proportions, the commissions are given as follows:

5. a. $200. b. $0. c. $0. d. $200.

6. a. $250. b. $200. c. $0. d. $490.

7. a. $250. b. $800. c. $300. d. $1350.

8. a. $250. b. $800. c. $1250. d. $2300.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For item 5, the amount is less than $5,000, hence there is a single commission of 5%, as follows:

0.05 x 4000 = $200.

Hence the amounts are:

a. $200. b. $0. c. $0. d. $200.

For item 6, the commissions are divided as follows:

For a total of $490, as 250 + 240 = 490.

Hence the amounts are:

a. $250. b. $200. c. $0. d. $490.

For item 7, the commissions are divided as follows:

For a total of $1,350, as 250 + 800 + 300 = 1350.

Hence the amounts are:

a. $250. b. $800. c. $300. d. $1350.

For item 8, the commissions are divided as follows:

For a total of $2,300, as 250 + 800 + 1250 = 2300.

Hence the amounts are:

a. $250. b. $800. c. $1250. d. $2300.

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Answer:

45°

Step-by-step explanation:

59 + x + 80 + 49 + x = 180  the sum of the interior angles of a triangle equal 180  Combine the like terms

2x + 188 = 180  Subtract 1588 from both sides

2x = -8  divide both sides by 2

x = -4  Now plug this in for A

49 + x

49 -4 = 45

Answer:

y = 2x + 5

Step-by-step explanation:

The slope is

[tex]\frac{-1-7}{-3-1}=2[/tex]

Substituting into point-slope form, we get the equation to be

[tex]y-7=2(x-1)[/tex]

which rearranges into slope-intercept form as:

[tex]y-7=2x-2 \\ \\ y=2x+5[/tex]