PLEASE HELP WILL GUVE BRAINLIEST!!!!!!
Mateo is on the track team and he competes in the 1,500-meter run. For each track meet, he
sets a goal of beating his fastest training time of the week by 4 seconds. Let t be Mateo's
fastest time of the week and g be his goal time for the next meet.

The city that has the biggest difference between the maximum and minimum temperatures is Glasgow.

In order to determine which city has the biggest difference, subtract the difference between the minimum temperature from the maximum temperature.

Range = maximum temperature - minimum temperature

Range of Glasgow = 2 - (-8)

2 + 8 = 10

Range of Cardiff = 6 - (-1)

6 + 1 = 7

Range of Exeter = 8 - 0 = 8

Please find attached the table used in answering this question. To learn more about range, please check: https://brainly.com/question/12372689

#SPJ1

Step-by-step explanation: To find the inverse function of a one to one function, we switch x and y and then solve for y.

For the function y = x, following that procedure gives us y = x again.

So, f-1(x) = x

Therefore, f-1(g(x)) = f-1(2x) = 2x

f-1(g(x)) = 0.25 yields 2x = 0.25

2x = 1/4

2x = 2-2

x = -2

I hope this helps u!

a) Average rate of change \($= \frac{4}{1} = 4$\), b) Average rate of change \($= \frac{8}{1} = 8$\), c) Average rate of change \($= \frac{16}{1} = 16$\), d) Average rate of change \($= \frac{32}{1} = 32$\).

The formula for average rate of change between two points \($(x_1,y_1)$\) and \($(x_2,y_2)$\) on a function is:

\(\text{Average Rate of Change} = \frac{\Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}\)

Using this formula, we can find the average rate of change over the given intervals as follows:

(a) \($0 \leq x \leq 1$\) :

\((x_1,y_1) = (0,4)$ and $(x_2,y_2) = (1,8)\\$\Delta x = 1$\\$\Delta y = y_2 - y_1 = 8 - 4 = 4$\)

Average rate of change \($= \frac{4}{1} = 4$\)

(b) \($1 \leq x \leq 2$\):

\((x_1,y_1) = (1,8)$ and $(x_2,y_2) = (2,16)\\$\Delta x = 1$\\$\Delta y = y_2 - y_1 = 16 - 8 = 8$\)

Average rate of change \($= \frac{8}{1} = 8$\)

(c) \($2 \leq x \leq 3$\):

\((x_1,y_1) = (2,16)$ and $(x_2,y_2) = (3,32)\\$\Delta x = 1$\\$\Delta y = y_2 - y_1 = 32 - 16 = 16$\)

Average rate of change \($= \frac{16}{1} = 16$\)

(d) \($3 \leq x \leq 4$\):

\((x_1,y_1) = (3,32)$ and $(x_2,y_2) = (4,64)\\$\Delta x = 1$\\$\Delta y = y_2 - y_1 = 64 - 32 = 32$\)

Average rate of change \($= \frac{32}{1} = 32$\)

(e) As \($x$\) gets larger, the average rate of change also gets larger. In fact, the average rate of change doubles with each increase in \($x$\) by 1. This is because the function \($f(x) = 4(2)^x$\) is an exponential function with base 2, which means that as \($x$\) increases by 1, the output of the function doubles. Since the change in \($y$\) is proportional to the change in \($x$\), the average rate of change also doubles.

To know more about exponential function visit:

https://brainly.com/question/15352175

#SPJ1

Answer:

Step-by-step explanation:

If 3 is width and 2 is length 3 units right 1 unit up

If 2 is width and 3 is length 2 units right 3 units up

Answer:

0.82%

Step-by-step explanation:

Answer and Step-by-step explanation:

We want to prove that 0.5555... = 5/9.

First, let's set 0.555... equal to x:

x = 0.555...

Now multiply this by 10:

10x = 5.555...

Now subtract the original from this new one:

   10x = 5.555...

-       x = 0.555...

______________

     9x = 5

Note that we could cancel all the recurring terms because they were the same for both 5.555... and 0.555... since the 5's go up to infinity.

We now have 9x = 5, so divide both sides by 9:

x = 5/9, as desired

Answer:

− 3 x 5 + 3 x 4 − 8 x 2 + 10 x + 9 is your answer simplified answer :)

Step-by-step explanation:

Have a nice dayyy <3

Answer:

-3x^5+3x^4-8x^2+10x-9

Step-by-step explanation:

(9x^5-12x^5)+(5x^4-2x^4)+(-9x^2+x^2)+(10x)+(-9)

-3x^5+3x^4-8x^2+10x-9

If this helps please mark as brainliest

After answering the provided question, we can conclude that As a result, equation 3000 new positions are added each year.

In mathematics, an equation is a statement that states the equality of two expressions. An equation consists of two sides separated by an algebraic equation (=). The argument "2x + 3 = 9," for example, asserts that the statement "2x + 3" equals the value "9." The goal of solving equations is to find the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complex, regular or nonlinear, and contain one or more variables. In the formula\("x^2 + 2x - 3 = 0,"\)

For example, consider raising the variable x to the second power. Lines are used extensively in mathematics, including algebra, calculus, and geometry.

The following equation is given:

\(y = 2000 + 3000x\)

where x is he number of years in the future.

The equation is written as y = mx + b, where m is the slope and b is the y-intercept. The slope of the equation in this case is 3000.

The slope denotes the rate of change of y in relation to x. In other words, for every unit increase in x, the slope value increases. In this case, the number of parking spaces, y, increases by 3000 for every year increase in x.

As a result, 3000 new positions are added each year.

To know more about equation visit:

https://brainly.com/question/29657983

#SPJ1

It will take approximately 4 years and 0.48 months for $10,000 to become $17,500 if placed in a CD that draws 4.5% compounded quarterly.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)Where:

A = final amount (in this case $17,500)

P = principal (initial amount, in this case $10,000)

r = annual interest rate (4.5%)

n = number of times interest is compounded per year (4 times, since it's compounded quarterly)

t = time (in years)

Substituting the given values, we get:

$17,500 = $10,000(1 + 0.045/4)^(4t)

Dividing both sides by $10,000 and simplifying, we get:

1.75 = (1 + 0.01125)^4t

Taking the natural log of both sides, we get:

ln(1.75) = 4t * ln(1.01125)

Solving for t, we get:

t = ln(1.75) / (4 * ln(1.01125))

t = 4.04 years

Since the question asks for the answer in years and months, we need to convert the 0.04 years to months:

0.04 years * 12 months/year = 0.48 months

Therefore, it will take approximately 4 years and 0.48 months (or about 4 years and 6 months) for $10,000 to become $17,500 if placed in a CD that draws 4.5% compounded quarterly.

To learn more about compound interest Click here:

brainly.com/question/29335425

#SPJ4

A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

b)  The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.

(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.

f(x)=8x³-42x-48x + 4

f'(x) = 24x² - 90

Setting f'(x) = 0, we get

24x² - 90 = 0

24x² = 90

x =±  √3.75

So, the critical points are;

x = -1 and x = 7/2.

We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).

f'(-2) = 72 > 0, so f is increasing on (-∞, -1).

f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).

f'(4) = 72 > 0, so f is increasing on (7/2, ∞).

Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).

f(-1) = -49

f(7/2) = 139/8

f(-42/13) = 5608/2197

Learn more about maximum value  here:

brainly.com/question/23504923

#SPJ4

Answer:

yayz fwee pwoints thwank ywuo

Step-by-step explanation:

Answer:

12, 8, and 4

Step-by-step explanation:

a + d + a + a - d = 24

3a = 24   ⇒  [ a = 8 ]  

and (a + d)² + a² + (a - d)² = 224

3a² + 2d² = 224

2d² = 224 - 192 = 32

d² = 16

[ d = ±4 ]

∴ The first three terms to A.P are

a + d = 8 + 4 = 12

a  -  = 8

a - d = 8 - 4 = 4

∴ Three terms are 12 , 8, and 4

Answer:

66,114 pounds of bananas.

Step-by-step explanation:

There are 12 months in a year, multiply 5,512 and 12 to get one year.

There are 300 number of ways in which committee can be formed. It can be solved by the fomula of combination.

What is the formula of combination?

Following is the fomula of combination:

\(^nC_r=\frac{n!}{r!(n-r)!}\)

Here, n is the total objects available and r is the number of object need to choose from n objects.

Consider no man refuses to serve together. Now, number of ways in which 4 men and 3 women committee can be formed from a group of 7 men and 6 woman.

\(^7C_4\times\ ^6C_3\)

Now, consider a goup in which the two persons who do not want to serve togather are togather. Consider these person as a single person. Now, we need to choose 3 men (two individual men and one group of 2 men will make 4 men in the group) from 6 men (7 converts into 6 because group of two person is considerd as 1.).

\(\ ^6C_3\times\ ^6C_3\)

Now, subtract \(\ ^6C_3\times\ ^6C_3\) from \(^7C_4\times\ ^6C_3\) to get the actual answer.

\(^7C_4\times\ ^6C_3-\ ^6C_3\times\ ^6C_3\\=\frac{7!}{4!3!}\times \frac{6!}{3!3!}-\frac{6!}{3!3!}\times\frac{6!}{3!3!}\\=35\times20-20\times20\\=20\times15\\=300\)

Hence, there are 300 number of ways in which committee can be formed. It can be solved by the fomula of combination.

Learn more about combination from the following link:

https://brainly.com/question/4658834

#SPJ4

To show that `(n + 3)7 ∈ Θ(n7)`, we need to prove that `(n + 3)7 = Θ(n7)`.This can be done by showing that `(n + 3)7 = O(n7)` and `(n + 3)7 = Ω(n7)` .Now, let's prove the two parts separately:

Proof for `(n + 3)7 = O(n7)`.

We want to prove that there exists a positive constant c and a non-negative constant k such that `(n + 3)7 ≤ cn7` for all `n ≥ k`.Using the Binomial theorem, we can expand `(n + 3)7` as:```
(n + 3)7
= n7 + 7n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + 37
≤ n7 + 21n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + n7
≤ 2n7 + 21n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6
≤ 2n7 + 84n6 + 441n5 + 2205n4 + 10395n3 + 45045n2 + 153609n + 729
```Thus, we can take `c = 153610` and `k = 1` to satisfy the definition of big-Oh notation. Hence, `(n + 3)7 = O(n7)`.Proof for `(n + 3)7 = Ω(n7)`We want to prove that there exists a positive constant c and a non-negative constant k such that `(n + 3)7 ≥ cn7` for all `n ≥ k`.Using the Binomial theorem, we can expand `(n + 3)7` as:```
(n + 3)7
= n7 + 7n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + 37
≥ n7
```Thus, we can take `c = 1` and `k = 1` to satisfy the definition of big-Omega notation. Hence, `(n + 3)7 = Ω(n7)`.

As we have proved that `(n + 3)7 = O(n7)` and `(n + 3)7 = Ω(n7)`, therefore `(n + 3)7 = Θ(n7)`.Thus, we have shown that `(n + 3)7 ∈ Θ(n7)`.From the proof, we can see that we used the Binomial theorem to expand `(n + 3)7` and used algebraic manipulation to bound it from above and below with suitable constants. This technique can be used to prove the time complexity of various algorithms, where we have to find the tightest possible upper and lower bounds on the number of operations performed by the algorithm.

Hence, we have shown that `(n + 3)7 ∈ Θ(n7)` for non-negative integer n.

To know more about Binomial theorem :

brainly.com/question/30095070

#SPJ11

Step-by-step explanation:

Hey, there!!!

Your required answer is optionD.

checking,

The 1st sequences are,

5,8,11,14

here,

now, use formula,

(an = 2n+3) in the sequences,

a1 = 2×1+3=5 = matching

a2= 2×2+3=7 = not matched

a3= 2×3+3= 9 = not matched

a4= 2×4+3=11 = not matched.

For 2nd sequences

3,5,7,9

Use the formula of an term,

a1 = 2×1+3=5 = not matched

a2 =2×2+3=7not matched

a3 = 2×3+3=9= not matched.

For 3rd sequences,

1,3,5,7

a1=2×1+3=5= not matched

a2=2×2+3=7= not matched

a3=2×3+3=9= not matched

a4=2×4+3=11= not matched

Now, for 4th sequences,

5,79,11

a1=2×1+3=5= matching

a2=2×2+3=7= matching

a3= 2×3+3=9= matching

a4=2×4+4=11= matching

Therefore, the answer is option D.

Hope it helps..

Answer: No solutions

Step-by-step explanation:

|x|+5<1

Subtract 5 from both sides.

|x| < -4

No solutions is possible

It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.

To learn more about generalizable, refer to:

https://brainly.com/question/28237221

#SPJ4

Answer:

99

Step-by-step explanation:

Did the quiz

Answer:

Step-by-step explanation:

We can describe it as a linear function with points of:

Slope intercept formula:

Finding the slope using the two given points:

Finding b:

Formula obtained:

For x = 20, value of y is:

When a single arithemetic / logic unit (alu), which does the math in a processor, is given 2 independent register sets so that it can quickly alternate between running 2 separate threads, we call it simultaneous multithreading.

Simultaneous multithreading, or "SMT," is the term used when a single Arithmetic/Logic Unit (ALU) is given two independent register sets to swiftly switch between operating two distinct threads.

SMT is a technique used in processor design to improve overall performance by allowing multiple threads to be executed concurrently on a single physical processor core. It enables the ALU to switch between different threads, or sets of instructions, rapidly, providing the illusion of simultaneous execution and effectively utilizing the available resources.

Learn more about multi thread at https://brainly.com/question/31783204

#SPJ11

Answer:

9million

Step-by-step explanation:

Answer: go to cymath.com and type in your equations they will help you out :) .

Step-by-step explanation:

Oh boy, this sounds like a mess. But I'll do my best to help you out.

Question #8 is asking to classify if the following equation is a slope intercept form or not.

I'm sure you should have learned about what a slope intercept form by now but its general equation is: y = mx + b

The "y" is just a single variable and must stay at its own value (one).

Examples of slope intercept form:

y = 48x + 3

y = -65x +10

y = 9x - 5

Now having this in mind, answer the questions.

4x + 2y = 12 is NOT slope-intercept form because it has too many variables on the left side of the =.

2y = 18x + 8 is also NOT slope-intercept form because it has "2" next to the "y" and there should only be a "y" in the left side of the =.

y = 6x - 1 and y = 1/2x + 3 ARE slope-intercept form because it follows the concept structure.

Now for the other question, you need to substitute the x values to the 3x - 1 equation, solve for the equation, then set up the final coordination.

x                      3x - 1                  y                 (x,y)

-2                    3(-2) - 1               -7               (-2, -7)

-1                     3(-1) - 1                -4               (-1, -4)

0                     3(0) - 1                -1                (0, -1)

1                      3(1) - 1                  2               (1, 2)

2                     3(2) - 1                 5               (2, 5)

The bold points are to be plotted in the graph (I'm sure you know how to do that).

Also gaslighting ain't cool

Cheers :)

Answer:

I think option C is correct or it can be. B OPTION

As if we join B to C it will form a diagonal BC which will cut the shape into two right angled triangle

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

36

Explanation:

Given the ratio:

Let the number = x

Then:

Next, solve for x:

Thus, the number that makes the ratio equivalent to 3:5 is 36.