Pls help

Which statement is true?


A. As x increases, the rate of change of f(x) exceeds the rate of change of g(x).

B. As x increases, the rate of change of g(x) exceeds the rate of change of f(x).

C. On every interval of x-values, the average rate of change of g(x) exceeds the average rate of change of f(x).

D. On every interval of x-values,
the average rate of change of f(x) exceeds the average rate of change of g(x).

Sis : you : bro

10 : 9 : ?

? ? : 27 : 29

We can get the 9 at the top to 27, by multiplying the whole row by 3 to get:

30 : 27 :?

? : 27 : 29

Your age matches (in the ratios or relation to your sis & bro) now 27 yrs in both ratio. Creating a single ratio, whereby multiplying the top row by 3 to get you to 27 & bottom row by 1 to get you to 27. Knowing when you're 27 in both cases, you know how old your sis & bro is

So, replace the ? with the number above or below it, creating a single ratio, where you are in common with both, by being 27 in both cases.

The ratio of sis : you : bro is now -

The ratio of sis : you : bro is now - 30: 27 : 29

To find what your age is we need to increase the ratio in the same amount to find your maximum age under 70.

So, if we were to double your age to 54, by multiplying your previous age of 27 by 2. We've got to do the same for your sis & bro too, they're aging with you.

We get :

We get :60 : 54 : 58

(30 x 2) : (27 x2) : (29 x2)

Keep increasing the ratio, to the point you're not above 70 years. Now, I'll multiply all ages by 3.

30: 27 : 29

(30 x 3) : ( 27 x 3) : (29 x 3)

We get:

We get:90 : 81 : 87

Right now, you're above the age of 70.

Thus, your maximum age must be 54, where you're under 70 years, but over 40 years.

Answer : 54 years

Hope this helps!

Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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When Five dozen eggs cost R60 [r/dozen], the value of R is 3600.

The term "dozen" or "dz" refers to a group of twelve.

Because there are roughly 12 lunar cycles (or months) in each solar cycle (or year), the number 12 may be one of the earliest primitive integer groupings. Twelve is useful because it has the most divisors among numbers up to its double, a characteristic that is only true of the numbers 1, 2, 6, 12, 60, 360, and 2520.

The duodecimal system, also known as the dozenal, was developed in Mesopotamia and uses the number twelve as its base (see also sexagesimal). By counting each finger bone with one's thumb, one can quickly count in base-12 on their hands.

Given 5 dozen of egg costs = R/60

That is

5 × 12 = R/60

60 = R/60

R = 60 × 60

R = 3600

Thus, When Five dozen eggs cost R60 [r/dozen], the value of R is 3600.

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Complete question:

Five dozen eggs cost R60 [R/dozen]. Find the value of R.

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Answer:

d

Step-by-step explanation:

Answer:

3. f(3) = 16

4. h(3) = 4

Step-by-step explanation:

3.

f(x) = x² + 7

f(3) = 3² + 7

f(3) = 16

4.

h(x) = 12/x

h(3) = 12/3

h(3) = 4

The ones in the brackets. In this case we have (m(e)).

The brackets that are inside brackets are to be solved first.

The three lakes that Frank walked were Lakes A, B, and C. This may be deduced from the distances between the lakes as well as the total distance that Frank traveled, which was more than 35 miles but less than 40 miles.

You may determine which lakes Frank walked to by combining a total of three lakes from the set of lakes provided in the puzzle.

Assuming Frank hiked Lakes A, B, and C, the distance is;

= 6.51 + 8.74 + 21.25

= 36.5 miles

Lakes A, B, and D:

= 6.51 + 8.74 + 18.68

= 33.93 miles

Lakes A, B, and E:

= 6.51 + 8.74 + 15.33

= 30.58 miles

It can be observed that Lakes A, B, and C are the only ones that meet the requirement of having a distance of fewer than 40 miles but more than 35 miles.

The following questions should be asked next:

Lakes: a = 6.51

b = 8.74

c = 21.25

d = 18.68

e = 15.33

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Answer:

0.333...

Step-by-step explanation:

6×8=48

48÷9=5.333...

(The ... means repeating)

Answer: 22.4402

Step-by-step explanation:

Answer:

84.4% of 23 is 19.412.

Step-by-step explanation:

Let the unknown number be x.

Now, 84.4% of x = 19.412.

∴ (84.4 ÷ 100) × x = 19.412.

By simplifying the equation,

x = (19.412 × 100) ÷ 84.4

x = 1941.2 ÷ 84.4

∴ x = 23

Thus, 84.4% of 23 is 19.412.

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Answer:1 4

Step-by-step explanation:

Answer:

x =44

Step-by-step explanation:

0.2x + (-0.9) + 1.7 = 9.6

Combine like terms

.2x +.8 = 9.6

Subtract .8 from each side

.2x +.8 -.8 = 9.6 -.8

.2x = 8.8

Divide each side by .2

.2x/.2 = 8.8/.2

x =44

Step-by-step explanation:

5+2•(-3)-10/(-5)

15+2•(-3×2)

15+2•-6

15-12

3

So; the answer is 3

Answer:

60%

Step-by-step explanation:

12/20 = 3/5 = 0.6 = 60%

Hey there! To find out how much of her homework Jewel completed, all we need to do is a little math. First, let's divide the number of questions she did by the total number of questions. That's 12 divided by 20 which equals 0.6.

Now, we just need to turn that decimal into a percentage. To do that, we simply multiply 0.6 by 100, which gives us 60. And voila! Jewel completed 60% of her homework.

Answer:

566556565*7*7/*7+666364

This situation represents an exponential model, since the value of the house increases by a constant percentage (1.5%) each year, rather than a constant amount. This means that the growth of the value of the house is compounded over time, leading to an exponential increase.

How to identify exponential model?

A linear model is a mathematical representation of a relationship between two variables that forms a straight line when plotted on a graph. In a linear model, the relationship between the independent variable (the variable that is being manipulated or controlled) and the dependent variable (the variable that is being measured or observed) is assumed to be linear or proportional. This means that as the independent variable changes by a certain amount, the dependent variable changes by a constant amount or at a constant rate.

For example, the relationship between the distance traveled by a car and the time it takes to travel that distance can be modeled using a linear model, assuming that the car is traveling at a constant speed. As the time increases by a certain amount, the distance traveled by the car increases by a constant amount, forming a straight line on a graph. Linear models are commonly used in various fields, including economics, physics, engineering, and social sciences.

An exponential model is a mathematical representation of a relationship between two variables that grows or decays at an exponential rate. In an exponential model, the dependent variable (the variable that is being measured or observed) changes by a constant percentage or a constant factor over a given interval of the independent variable (the variable that is being manipulated or controlled).

For example, the growth of a population of bacteria can be modeled using an exponential model, assuming that the bacteria reproduce at a constant rate. As time goes on, the number of bacteria increases by a constant percentage or a constant factor, resulting in an exponential growth curve on a graph.

Exponential models are commonly used in many fields, including finance, physics, biology, and chemistry. They can be used to model a variety of phenomena, such as the growth or decay of populations, the spread of infectious diseases, the depreciation of assets, and the decay of radioactive isotopes.

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Greetings, Brianna!

In this problem, we need to figure out how many grams of pepper Manuel has left after subtracting or taking away 0.7 grams from his original amount of 7.8 grams.

1. First of all, when subtracting decimals, the easiest thing to do is make sure your equations are lined up nicely. For example, if one number has a decimal point but the other doesn't we need to make it so the one that doesn't have a decimal point gets one. We can do this by adding .0, so we don't change the value, but rather make the subtraction process easier. Additionally, having a whole number and a decimal that is less than 1 can be tricky to subtract when lining up, so we could add a zero before the decimal. As you can see, there is no change we could make (similar to my examples), so the numbers are ready to subtract.

2. Because we know Manuel is taking the smaller number from the larger number, we will line it up as so:

7.8

-0.7

3. From there, it's quite simple: we subtract just as if it were a normal (vertical) subtraction problem, from right to left, top to bottom. Pretend the decimals aren't there (refer to text below with the matching asterisk)*.

\(8 - 7 = 1\)

\(7 - 0 = 7\)

7.8

-0.7

 71

4. Surely that's impossible; getting 71 grams as your answer. Heck, we never started anywhere close to that! But we're not done there!

Now we have to add our decimal point. Because you are subtracting, put it in the same place as the numbers before.  If you prefer just adding it as you go, refer to step #3. Place the decimal in the under the answer bar,  directly underneath the other points. Don't pay much attention to it.

*Important: This is different for other operations, but when it comes to adding and subtracting decimals, the decimal will be in the same place. That's why it is important we line up the numbers exactly!

 7.8

-0.7

 7.1

Therefore, our answer is 7.1 grams. Manuel has 7.1 grams of pepper left.

Please let me know if this helped! Tell me if you have any questions, and if you wouldn't mind, I'd be so grateful if you could rate me.

Answer:

Step-by-step explanation:

total interest paid is given as $4,643.46.

total payments = $429.95 x 36 months = $15,478.20

total lease payments = total payments - total interest

total lease payments = $15,478.20 - $4,643.46 = $10,834.74

Remaining balance = Total cost of the lease - Total lease payments

$23,495 - $10,834.74 = $12,660.26

The nominal rate per annum compounded half-yearly, equivalent to an effective rate of 14.5% per annum, is approximately 14.900625%.

To convert an effective rate to a nominal rate compounded half-yearly, we can use the formula:

Nominal rate \(= (1 + r/m)^m - 1\)

Where:

r = effective rate

m = number of compounding periods per year

In this case, the effective rate is 14.5% per annum, and we want to convert it to a nominal rate compounded half-yearly.

Since compounding is done semi-annually, m would be 2.

Plugging in the values:

Nominal rate \(= (1 + 0.145/2)^2 - 1\)  

Simplifying the expression inside the parentheses:

Nominal rate \(= (1 + 0.0725)^2 - 1\)

Calculating the exponent:

Nominal rate \(= (1.0725)^2-1\)

Performing the calculations:

Nominal rate = 1.14900625 - 1

Nominal rate = 0.14900625

Converting the nominal rate to a percentage:

Nominal rate = 14.900625%

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Answer:

1. 6 + 45 -10 = 41 2. -20 - 20 - 10 = -50 3. 40 4. -18 - 15 + 10 = -23

Step-by-step explanation:

adding/multiplying a negative and a negative = a positive

Answer:

x - 7(7x) = -48

x - 49x = -48

-48x = -48

x = 1

Step-by-step explanation:

hope this helps

1. 1 hour = 60 minutes

We convert 3 hours and 25 minutes to minute : 3 x 60 + 25 = 205 (minutes). Since 205 < 230, it took longer to get home than getting to the beach.

2. (Same convertion)

5 hours and 10 minutes = 5 x 60 + 10 = 310 (minutes)

So, the last day rained longer than the day before it.

3. 1 day = 24 hours.

We convert 3 days to hours : 3 x 24 = 72 (hours)

Since 72 > 68, Wendy's family lost their power longer than their neighbors.

4. 1 minute = 60 seconds

Convert 2 minutes and 2 seconds to seconds : 2 x 60 + 2 = 122 (seconds)

Since 122 > 121, it means Paul took longer to finish his race, which mean Jeff finished first (Rip Paul)

5.

Question : Bob bought 2 pizzas for him and his friend, Kevin. They both ate 1 pizza. Bob finished his pizza in 6 minutes and 45 seconds. Kevin finished his pizza in 400 seconds. Who finished first?

Solution : Convert 6 minutes and 45 seconds to seconds : 6 x 60 + 45 = 405 (seconds)

Since 405 > 400, Bob took longer to finish his pizza -> Kevin finished first.

Answer:

19,500

Step-by-step explanation:

If you need me to explain I can

Answer:

P(y) = 4Cy * (2/3)^y * (1/3)^4-y

Step-by-step explanation:

Two distinguishable categories ; A and B ;

Number of cups of formula A given to each judge = 2

Number of cups of formula B given to each judge = 1

Total number of cups = 3

P(formula A) = 2/3

P(formula B) = 1/3

Hence, Probability of each of the two formulas is the same for each judge

Number of judges = 4

Each outcome is independent

y = Number of judges who prefer the new formula

Since, it meets all requirements for a binomial probability distribution :

Hence. The distribution of y ;

4Cy * p(A)^y * p(B)^4-y

P(y) = 4Cy * (2/3)^y * (1/3)^4-y

Answer:

m=0

Step-by-step explanation:

the slope is calculated using two points on the line and the formula

m = (y2 - y1) ÷ (x2 - x1)

where

x1 and y1 are the coordinates of point 1

x2 and y2 are the coordinates of point 2

for example, you can take

point 1 = (x1;y1) = (-2;3)

point 2 = (x2;y2) = (-1;3)

then your slope is

m = (3 - 3) ÷ (-1 - (-2)) = 0

notice that x1 is always at the left of x2 on the x axis

and it makes sense that your slope is 0 because for each x your y is the same

Answer:

t5=23     t8=35

Step-by-step explanation:

t5=?

t8=?

t10=43

d=4

tn=a+(n-1)d

t10=a+(10-1)4

43= a+(9)4

43=a+ 36

a=7

t5=7+(4)4

t5=7+16

t5=23

t8=7+(7)4

t8=7+28

t8=35