a. Write two explicit formulas for arithmetic sequences.

Based on the number of candy pieces that Mack ate on the first and net day, the number of pieces of candy that he collected on Halloween night was 78 pieces of candy

The total pieces of candy that Mack had left on the next day was:

Number of candy pieces collected - 7 pieces of candy - (10% x Number of candy pieces collected) = 63

To find the number of candy pieces collected:

x - 7 - 10% × x = 63

x - 7 - 0.1x = 63

x - 0.1x = 63 + 7

0.9x = 70

x = 70 / 0.9

x = 77.7

= 78 pieces of candy

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Place value is defined as the value of a digit in a number which depends on its position in the number. On the other hand, Total value is the product of a digit and its place value.

Rounding off entails changing a number into an approximation such that it has fewer significant numbers. To change the digit 5 in this question to 0, we will need to round off the given numbers to the most appropriate place value.

a. 478 578

We round off to the nearest thousands, this becomes 479 000

b. 353 897

We round off to the nearest tens of thousands, this becomes 400 000

c. 294 025

We round off to the nearest ones, this becomes 294 030

d. 500 000

The 5 in this value cannot be converted to 0 since 5 is the largest place value in the number.

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Answer:

i think 10 is in between -8 and

Step-by-step explanation:

hope this

Step-by-step explanation:

Given that

To find

So, according to the question

From figure we can say that there is present five rectangle of same size.

So far finding the area of this irregular figure we have to find the area of this single rectangle and multiply it by 5 so from that process we can calculate the area of this irregular figure.

Now first we have to learn about the area,

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.

So, we know

The area of one rectangle = l x w

Now, putting the values = 3 x 2 = 6

So,

The area of this irregular figure = 5 ( The area of one rectangle )

                                                   = 5 x 6

                                                   = 30

Answer:

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Comparing the functions f(x) = ln (x) and [tex]f^{-1}(x) = e^x[/tex], we can conclude that the domain of [tex]f^{-1}(x)[/tex] is all real numbers and the range is all real numbers greater than 0.

Given function is the logarithmic function f(x) = ln(x).

Now, f(x) has a domain(D) of all real numbers greater than zero and a range(R) of all real numbers.

i.e., f : D → R defined by f(x) = ln(x)

So if an inverse exist for f(x), then, [tex]f^{-1}(x)[/tex] will have R as its domain and D as its range.

i.e.,  [tex]f^{-1}[/tex] : R → D defined by [tex]f^{-1}(x) = e^x[/tex].

Because f( [tex]f^{-1}(x)[/tex] ) = ln([tex]e^x[/tex]) = x, that is the identity function.

So [tex]e^x[/tex] is the inverse of ln(x).

Also, the domain of [tex]f^{-1}(x)[/tex] is all real numbers and the range is all real numbers greater than 0.

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Answer:

Step-by-step explanation:

The first five terms of the sequence are -3, -5, -7, -9, -11

A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given,

aₙ =-2 n-1

a1 = -2 - 1 = -3

a2 = -4 -1 = -5

a3 = -6 -1 = -7

a4 = -8 -1 = -9

a5 = -10 - 1 = -11

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The equation of the line which is perpendicular to 2x - y = 4 and passing through (4, 1) will be y = (-1/2)x + 3

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given below.

2x - y = 4

Then the slope of the perpendicular line will be

y = 2x - 4

m = 2

Then the equation of line will be

y = -(1/2)x + d

Then the line is passing through (4, 1), then we have

1 = -(1/2)4 + d

3 = d

The equation of the line which is perpendicular to 2x - y = 4 and passing through (4, 1) will be y = (-1/2)x + 3

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Answer:

-10.08

Step-by-step explanation:

Using order of operations:

[tex] - 17 + (\frac{ - 2.3 + 8.12}{6} ) \times {4}^{2} - 8.6[/tex]

[tex] - 17 + \frac{5.82}{6} \times 16 - 8.6[/tex]

[tex] - 17 + .97 \times 16 - 8.6[/tex]

[tex] - 17 + 15.52 - 8.6[/tex]

[tex] - 10.08[/tex]

Answer: C

Step-by-step explanation:

A says an odd number (neg) + (neg)+ (neg) = positive and that is not right

B. quotients are not always positive

C.  A even number of negatives (neg) + (neg) = a positive

D. is not true

The equation of the line in slope-intercept form is: y = -4/5x - 8/5.

Using two points on the line, say, (-2, 0) and (3, -4), follow the steps below to find the equation of the line:

Step 1: Find the slope of the line

Slope (m) = (-4 - 0)/(3 -(-2))

Slope (m) = -4/5

Step 2: Find the y-intercept (b)

Substitute m = -4/5 and (x, y) = (-2, 0) into y = mx + b

0 = -4/5(-2) + b

0 = 8/5 + b

0 - 8/5 = b

b = -8/5

Step 3: Substitute m = -4/5 and b = -8/5 into y = m + b

y = -4/5x - 8/5

Thus, the equation of the line in slope-intercept form is: y = -4/5x - 8/5.

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The equation of point slope form of (4,6) and (10,30) is -4x + y + 10 = 0.

A straight line is represented using its slope and a point on the line using point slope form. In other words, the point slope form is used to determine the equation of a line whose slope is "m" and passes through the point (x1, y1).

given that

the coordinates points are (4, 6) and (10, 30)

(x1,y1) = (4,6)

(x2, y2) = (10,30)

The formula of point-slope is

(y - y1) = m(x - x1)

Here,

x1 = 4 and y1 = 6 but we don't know the value of

m.

now,find the value of m using the following formula

[tex] m = \frac{(y2 - y1)}{(x2 - x1)}[/tex]

now, substitute the values, we get

[tex]m = \frac{(30 - 6)}{(10 - 4)}[/tex]

[tex]m = \frac{24}{6}[/tex]

m = 4

so, the value of m is 4.

substitute these values into the point-slope formula

(y - 6) = 4(x - 4)

y-6 = 4x - 16

y = 4x -16 + 6

y = 4x - 10

-4x + y + 10 =0

Hence, the equation of point slope form of (4,6) and (10,30) is -4x + y + 10 = 0.

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Step-by-step explanation:

(a+b)² = (a+b) × (a+b)

= a(a+b) × b(a+b)

= a² +ab + ba + b²

= a² + b² + 2ab

103² = (100 + 3)²

= 100² + 3² + (2×100×3)

= 10000 + 9 + 600

= 10609

The correct option is (C) ∠ MJK ≅ ∠ MKJ by construction.

When two parallel lines have a transversal cutting those parallel lines, the alternate angle theorem holds true. According to the alternate angle theorem, all alternate angles are equal.

We have a similar circumstance here, where we are employing the alternate angle theorem approach to design and build two parallel lines. To prove that the two alternate angles are equal and the lines are parallel, we must first identify the two alternate angles.

The two alternate angles are:

∠ MLN and ∠ MJK

Therefore, for the lines, JK and LN to be parallel the two angles must be congruent.

Hence, ∠ MLN ≅ ∠ MJK

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The complete question is mentioned below:

In the straightedge and compass construction of the parallel line below, which of the following reasons can you use to prove that JK and LN are parallel?

A.  ∠ MLN ≅ ∠ MNL by construction.

B.  ∠ NLJ ≅ ∠ MJK by construction.

C.  ∠ MJK ≅ ∠ MKJ by construction.

D.  ∠ MLN ≅ ∠ MJK by construction.

The quetient is 2x - 5 with no remainder.

Step-by-step explanation:

The give polynomial is   2x² + x - 15

And the given divisor is  (x + 3)

Now, Using divide rule of polynomials

x + 3 ) 2x² + x - 15 ( 2x - 5

         2x² + 6x

        -       -    

____________________

         - 5x - 15

         - 5x - 15

        +       +

__________________

                0

Hence, we get the quotient is 2x - 5 and the remainder is 0

Therefore, The correct answer 2x - 5 with no remainder.

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x<=-4 or x>=-1

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.”

“And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements.

“Or” indicates that, as long as either statement is true, the entire compound sentence is true. It is the combination or union of the solution sets for the individual statements. A compound inequality that uses the word “and” is known as a conjunction.

By seeing the graph we can see that there are 2 inequalities. We have to solve them separately

Final answer: x<=-4 or x>=-1

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The simplified value of the expression given as (29x - 3) + (13y - 17) - (15x + 7) is 14x + 13y  -27

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

(29x - 3) + (13y - 17) - (15x + 7)

Open the bracket in the above expression

So, we have

(29x - 3) + (13y - 17) - (15x + 7) = 29x - 3 + 13y - 17 - 15x - 7

Collect the like terms in the above expression

So, we have

(29x - 3) + (13y - 17) - (15x + 7) = 29x - 15x + 13y - 3  - 17  - 7

Evaluate the like terms in the above expression

So, we have

(29x - 3) + (13y - 17) - (15x + 7) = 14x + 13y  -27

Hence, the simplified value of the expression given as (29x - 3) + (13y - 17) - (15x + 7) is 14x + 13y  -27

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Complete question

Evaluate the following expression

(29x - 3) + (13y - 17) - (15x + 7)

The runner completes a 10 miles race in 16 minutes.

According to the question we have been given that,

Runner takes 8 minutes to complete = 5 miles race

We need to find that if the runner is in the same pace then how many miles the runner completes in 16 minutes

This multi-step problem can be solved using the unitary method. That is,

              8 minutes = 5 miles

              1 minute = 5/8 miles          

             16 minutes = 5/8*16 miles

                                  = 5*2 miles

                                  = 10 miles

Hence runner completes a 10miles race in 16 minutes

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According to the question, Let us assume the total number of students is [tex]100[/tex]. In which [tex]43[/tex] students own a CD player. And [tex]28[/tex] students own both CD player as well as MP3 Player.

Now, to calculate the probability that a student owns an MP3 player and also they own a CD player. It is clear from the given data, the percentage is higher than [tex]28[/tex] percent.

Using conditional probability rule:

[tex]P(MP3|CD) = \frac{P(MP3 and CD)}{P(CD)} = \frac{0.28}{0.43} = 0.65[/tex]

What is Probability?

The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.

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ok:).

poop

.........

ll and lll is the answer.      

never said anything about

Answer:

Step-by-step explanation:

So our ratio for this problem is

3/8
Now, to find how many teaspoons per ounce, we divide 3 by 8

3/8=0.375

Hope this helps!^^

To find ounces per teaspoon, we do 8/3

8/3 = 2.666666667

Hope this helps^^

a. The dot plot that represents the situation is shown in the diagram attached below.

b. The typical number = 8.

-To create a dot plot, the frequency of each data point of the data distribution is represented by a "dot". The number of "dots" on a data point determines the number of times that data point appears in the data distribution.

Given the data for the number of eggs produced: 6,7,7,7,8,8,8,8,9,10,10,11,12,12,13, we have the following data points and their frequency:

6 - 1 dot

7 - 3 dots

8 - 4 dots

9 - 1 dot

10 - 2 dots

11 - 1 dot

12 - 2 dots

13 - 1 dot

a. The dot plot that represents the situation is shown in the diagram attached below.

b. The typical number of eggs is: 8.

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The dimensions of the sticker are 6 centimeters and 9 centimeters, respectively.

According to the statement, we find a rectangular sticker whose perimeter and area are known. By the perimeter and area formulas of the rectangle we have the following system of equations:

x · y = 54                      (1)

2 · (x + y) = 30              (2)

By (2):

2 · x + 2 · y = 30

2 · x = 30 - 2 · y

x = 15 - y

(2) in (1):

(15 - y) · y = 54

15 · y - y² = 54

y² - 15 · y + 54 = 0

(y - 9) · (y - 6) = 0

The solutions are y₁ = 9 and y₂ = 6, respectively.

By (2):

x₁ = 15 - y₁

x₁ = 15 - 9

x₁ = 6

x₂ = 15 - y₂

x₂ = 15 - 6

x₂ = 9

The solutions are x₁ = 6 and x₂ = 9, respectively.

The dimensions of the sticker are 6 centimeters and 9 centimeters, respectively.

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30m by 90m is the length and width of the sandy island beach snak shack.

What is a rectangle shape?

20 x 1 = 20

20 x .5 = 10

20 + 10 = 30

60 x 1 = 60

60 x .5 = 30

60 + 30 = 90..

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The complete question is -

Sandy Island Beach is building a new Snack Shack based on a scale drawing that is 20 centimeters by 60 centimeters and uses the scale 1 cm : 1.5 m.

Answer:

C° = K-273.15

Step-by-step explanation:

The goal is to get C by itself, so subtract 273.15 from both sides.

Luis and Baca would be the same weight after 60 weeks of weightlifting.

A linear equation is one in which the highest power of the variable is consistently 1. A one-degree equation is another name for it. A linear equation with one variable has the formula Ax + B = 0, which is its standard form. x is a variable, A is a coefficient, and B is constant in this situation.

To create an equation that Luis and Baca can use to determine how long it will take for them to be the same weight:

Let the time taken by Luis and Baca to be of the same weight be x weeks,

Given:

Initial weight of Luis = 194 pounds

Initial weight of Baca = 218 pounds

Then,

Weight gained by Luis in x weeks = 0.6x pounds

Weight gained by Baca in x weeks = 0.2x  pounds

Total weight of Luis after x weeks = (194 + 0.6x ) pounds

Total weight of Baca after x weeks = (218 + 0.2x) pounds

For Luis and Baca to be of the same weight,

Total weight of Luis after x weeks = Total weight of Baca after x weeks

Therefore, we equate the total weight gained by Luis and Baca after x weeks to determine the value of x

⇒ 194 + 0.6x  = 218 + 0.2x

⇒ 0.6x - 0.2x =218 - 194

⇒ 0.4x = 24

⇒ x = 60

Hence, Luis and Baca would be the same weight after 60 weeks of weightlifting.

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The quantities X and Y are proportional as y = rx  then the constant of proportionality r is 1/9.

Firstly, there is proportional relationship.

Two values x  and  y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called constant of proportionality.

WE have been given quantities X and Y are proportional

y = rx

Where r is constant of proportionality.

Then x = 45 and y = 5

Thus,

y = rx

5 = 45r

Now divide by 45 on both side;

r = 5/45

r = 1/9

Therefore, the constant of proportionality r is 1/9.

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Answer:

m=3/19

Step-by-step explanation:

Answer:

m = 3/19

Step-by-step explanation:

Let's solve your equation step-by-step.

19m = 3

Step 1: Divide both sides by 19.

19m/19 = 3/19

- You might be wondering, why do we need to divide both sides by 19? -

Well, to find m, you need to get it by itself. So by dividing 19m by 19, m stands alone. But again, what we do to one side, we need to do to the other. So 3 must also be divided by 19.

Answer:

m = 3/19

Answer:

The area of this section of pavement is 800 square feet

Step-by-step explanation:

10 ft times 80 ft = 800 square feet

Give me brainliest if that helped :)