Tommy paid $8.25 for three pounds of gummy candy.Tommy created a graph from the data on his chart. Is his graph correct? Why or Why not?

We'll use the follwowing property, which comes from the definition of a logarithm:

i.e, The logarithm with base a of b is c if, and only if a to the c power equals b.

Using this to translate

Into exponential form, will yield:

Because:

ANSWER:

Answer

The sum of the sequence = -30072

Explanation

We are given a sequence of numbers and asked to find the sum of the terms up until the last term given. The sequence given is

9, 4, -1,.............., -546

On careful observation of this sequence, we can see that it is an arithmetic progression with a common difference of -5 between consecutive terms.

Common difference = (n + 1)th term - nth term

= 4 - 9 Or -1 - 4

= -5

For an arithmetic progression, the formula for the last term is given as

Last term = a + (n - 1)d

where

L = last term = -546

a = first term = 9

n = number of terms in the sequence = ?

d = common difference = -5

So, we can solve for the number of terms

-546 = 9 + (n - 1)(-5)

-546 = 9 - 5n + 5

-546 = 14 - 5n

14 - 5n = -546

-5n = -546 - 14

-5n = -560

Divide both sides by -5

(-5n/-5) = (-560/-5)

n = 112

We can now use the formula for the sum of an arithmetic progression to find the sum of this sequence.

We know all of these parameters now

Sum of this AP = (112/2) [(2 × 9) + (112 - 1)(-5)]

= 56 [18 + (111 × -5)]

= 56 [18 - 555]

= 56 [ -537]

= -30072

Hope this Helps!!!

The question provides the following information;

Money at hand = 73.50

Money earned = x

Purchases made = 99.99

Money left over = 23.51

These sets of numbers can be put into an equation as shown below;

(73.5 + x) - 99.99 = 23.51

This equation means what you had at the beginning plus what earned from mowing lawns is a total of 73.5 + x. Subtract the cost of shoes purchased from this total and you'll now have a balance of 23.51

We can now solve for the money earned from mowing lawns as follows;

(73.5 + x) - 99.99 = 23.51

Add 99.99 to both sides of the equation (in order to isolate the 73.5 + x on the left side of the equation). You now have;

73.5 + x = 123.5

Next you subtract 73.5 from both sides of the equation (in order to isolate the x on the left hand side)

x = 50

This means the money earned from mowing lawns is $50

Given:

Out of every 30 t-shirts, 15 are medium.

Let's find the number of medium t-shirts you expect to find when there are 126 t-shirts on a rack.

We have:

35 t-shirts = 15 medium

126 t-shirts = x medium

Now, let's solve for x.

Apply the proportioanlity equation:

Cross multiply:

DIvide both sides by 35:

Therefore, there will be 54 medium t-shirts when there are 126 t-shirts.

ANSWER:

54

∠1 and ∠2 have equal measures because they are corresponding angles

The given matrix equation is:

To get the required equations, we will have to carry out the matrix multiplication, thus we have:

Hence, the correct option is option D

To obtain the slope of the line that passes through the two given points, the following steps are recommended:

Step 1: Recall the formula for the slope of a line that passes through any two points (x1, y1) and (x2, y2), as follows:

Step 2: Apply the formula to find the slope of the line that passes through the points (4, -9) and (8, -3), as follows:

Therefore, the slope of the line that passes through the points (4, -9) and (8, -3) is 3/2

Here the values are proportional to each other.

Proportionality ratio is,

Then scale on X-axis representing weight in Newton is 1 unit is equal to 7 Newton

And on the the Y axis representing distance in cm is 1 unit is equal to 5 cm.

First, we solve the expression.

Since it is a negative number we have to place it 15 places to the left ( from zero)

To dilate a shape by a determined scale factor, you have to multiply each side of the said shape by the scale factor.

The figure is a rectangle with length l=3 and width w=2, to enlarge it using factor 5, you have to multiply both lengths by 5:

After dilating the rectangle by scale factor 5, the new size will be 10 x 15

Step 1

The circumference of a circle is given by;

where;

Step 2

Find the circumference

Hence, in terms of π the circumference of the circle=18πinches

From the given question

There are given that the equation

Now,

From the equation (1)

Then,

Put the equation (3) into the equation (2)

So,

Then,

Put the value of y into the equation (3)

So,

Hence, the value of x is 9 and y is 4.

We are given the following the following inequality:

|x - 5| >= 1

When we have a inequality in the format:

|f(x)| >= a

There are two possible solutions.

Either f(x) <= -a or f(x) >= a

In this question:

|x - 5| >= 1

x - 5 <= -1

x <= -1 + 5

x <= 4

Or

x - 5 >= 1

x >= 1 + 5

x >= 6

In interval notation, the answer is:

The solution on the number line is:

The sequence is arithmetic because the common difference is 4.

Answer:

the sequence is arithmetic. the cd is 4

Step-by-step explanation:

1 + 4 = 5

5 + 4 = 9

9 + 4 = 13

12h 2 minutes and 5 seconds

1) Adding 3 hours 6 minutes and 45 seconds to 8 hours 55 minutes and 20 seconds we can write like this:

2) Every time we hit 60'' (seconds) we add to its neighbor then we can find the following sum.

1h ----60'

1 minute ----60''

3) Then the sum of those is equal to 12h 2 minutes and 5 seconds

The final price of gas per gallon after number of reduction and increment is $12.74.

Given,

The price of gas at store = 4.29 per gallon

The increased amount of gas = 0.55

The new price of gas = 4.29 + 0.55 = 4.84 per gallon

Then decreased 0.25. So, the price of gas = 4.84 - 0.25 = 4.59 per gallon

Again the price increases 8.30 and the new price become, 4.59 + 8.30 = 12.89 per gallon

Then, the price of gas finally went down to .15.

Therefore, the price of gas now is:

12.89 - 0.15 = 12.74

That is, the final price of gas per gallon after number of reduction and increment is $12.74.

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Answer:

(x + 1)(x - 3)(x - 4) 3 f (x) = (x - 6)2(x + 2)2

Step-by-step explanation:

Data:

Apple: A

Pears: P

3A+2P=$2.70

3A=4P

to find the cost for one apple:

The set builder notation of "The domain of a function is all whole numbers between 2.5 and 7.5" is Domain = {x: x∈W , 2.5<x<7.5 }.

In the Set Builder form , a statement or expression is used to represent all the elements of the set .

In the question ;

it is given that

the domain of the function is all whole numbers between 2.5 and 7.5 .

the set of whole numbers is represented by W.

Since the numbers between 2.5 and 7.5 are included , so "<" will be used .

The Set Builder notation is Domain = {x: x∈W , 2.5<x<7.5 } .

Therefore , the set builder notation of "The domain of a function is all whole numbers between 2.5 and 7.5" is Domain = {x: x∈W , 2.5<x<7.5 }.

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1.

First, divide the figure into 3 different figures.

Find the area of each figure, and then add them:

A1 is a rectangle:

Area of a rectangle: Lenght x width

A1 = 8 x 5.3 = 42.4 in2

A2 is also a rectangle:

Lenght = 4

width = 8 - 5.3 = 2.7

A2 = 4 x 2.7 = 10.8 in2

A3 is a triangle:

Area of a triangle = (base x height) / 2

base = 2.7

Height = 8-4 = 4

A3= ( 2.7 x 4 ) / 2 = 5.4 in2

Total area = A1 + A2 + A3 = 42.4 + 10.8 + 5.4 = 58.6 in2

Answer = 58.6 in2

The cost for 1 liter of premium gasoline is $0.43 greater than the regular gasoline.

This is referred to as the total amount of money and resources which are used by companies in other to produce a good or service.

In this scenario, we were given 25 liters of regular gasoline for $58.98 or 25 liters of premium gasoline for $69.73.

Cost per litre of premium gasoline is = $69.73 / 25 = $2.79.

Cost per litre of regular gasoline is = $58.98/ 25 = $2.36.

The difference is however $2.79 - $2.36 = $0.43.

Therefore the cost for 1 liter of premimum gasoline is $0.43 greater than the regular gasoline.

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Remember that a function is a relation between two sets of numbers where the first set is called domain, and the second set is called range.

The main characteristic that defines a function is that a domain element can be associated with only one element of the range set. In other words, one input value cannot have two different output values.

Therefore, the right answer is the third choice

Because this represents a function and its inverse also represents a function, that is, it's inverse have the characteristic of a function. The following set represents the inverse

As you can observe, this inverse set also follows the function definition, because every single input is associated with only one output.

  All potential solutions are covered by theoretical domains and ranges. The solution sets are constrained by actual domains and ranges to fit inside predetermined constraints. Make a function equation out of a word problem that specifies the domain and range of application. All potential solutions are covered by theoretical domains and ranges.

C = 9 + 7.34

One room costs = $7.34.

Charges of n room = Charges of one room  × Number of Rooms

Charges of n room = 7.34 n

Reservation Room =  $ 9

Total Cost (c) = Reservation Room + Charges of n room

C = 9 + 7.34

They only clean a maximum of 15 rooms.

Domain = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

When n = 1 , C = 9 + 7.34 ×1 = 16.34

When n = 2 , C = 9 + 7.34 ×2 =23.68

When n = 3 , C = 9 + 7.34 ×3 =31.02

When n = 4, C = 9 + 7.34 ×4 =38.36

When n = 5 , C = 9 + 7.34 ×5 = 45.7

When n = 6, C = 9 + 7.34 × 6 = 53.04

When n = 7 , C = 9 + 7.34 ×7 = 60.38

When n = 8 , C = 9 + 7.34 ×8 =67.72

When n = 9 , C = 9 + 7.34 × 9 =75.06

When n = 10, C = 9 + 7.34 ×10 = 82.4

When n = 1 1, C = 9 + 7.34 ×1 1 = 89.74

When n = 12 , C = 9 + 7.34 ×1 2 = 97.08

When n = 13 , C = 9 + 7.34 ×1 3 = 104.42

When n = 1 4, C = 9 + 7.34 ×14 = 111.76

When n = 1 5, C = 9 + 7.34 ×15 = 119.1

C = 9 + 7.34

Domain = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

Range = { 16.34,23.68,31.02,38.36,45.7, 53.04,60.38,67.72,75.06,82.4,89.74,97.08,104.42,111.76,119.1}

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1. At age 65 when you retire, you have (future value) $202,531.69 from the IRA.

2. The total interest earned on the monthly investment of $95 at 6.25% for 40 years is $156,931.69.

The future value, which represents the compounded value of the monthly investments, can be computed using the FV formula or an online finance calculator as follows:

Number of years = 40 (65 - 25)

N (# of periods) = 480 months (40 x 12)

I/Y (Interest per year) = 6.25%

PV (Present Value) = $0

PMT (Periodic Payment) = $95

Results:

Future Value (FV) = $202,531.69

Sum of all periodic payments = $45,600 ($95 x 480 months)

Total Interest = $156,931.69

Thus, the future value of the monthly investment is $202,531.69 with an interest of $156,931.69.

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To know the price to

Gathering the data

$8.56 h

25.5 per hour

2) Assuming Jackson does not get any tips or extra money for his job.

Let's calculate it.

M=8.56 (25.5)

M=218.28

So Jackson earned $218.28 last week for his 25.5 working hours, at the restaurant.

EXPLANATION

If it cost $31/7 hours, we can apply the unitary method to get the unit cost:

It will cost 4.42 dollars/hours

We can apply the same reasoning to the printer.

Answer:

Step-by-step explanation:

first do 104 + 42 it should be 146

second since it is x+9 do 146 - 189, it should be 43.

third check your work by doing 43 + 146

if it equals 189 then do 43 - 9, you should get 34

so x = 34

Given: The odds in favor of receiving a gift are 4/19.

Required: To determine the probability of receiving a gift.

Explanation: The probability of an event A that has an odd of happening as A/B can be calculated as

Here A=4 and B=19. Putting the values, we get,

Final Answer: The probability of Brian receiving a gift is 4/23.