years from 1970 through 2010. X a mathematical model p+ 2 =44

The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.

First, remember that for a point (x, y):

For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:

(-4, -1)

Then we can see that this point is on the quadrant III.

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Answer:

Third Option!

Step-by-step explanation:

Sorry if i'm wrong :(

Answer:

Third option is the correct answer.

\( 2log_{5}x - 2log_{5}4\)

Step-by-step explanation:

\( log_{5} \bigg( \frac{x}{4} \bigg) ^{2} \\ \\ = 2log_{5} \bigg( \frac{x}{4} \bigg) \\ \\ = 2log_{5}x - 2log_{5}4\)

Answer: 6.534 x 10^(-1)

Step-by-step explanation:

Six thousand five hundred and thirty four ten thousandth

6534/10000

Convert to decimal

6534/10000=0.6534

Then convert to standard form

0.6534=6.534 x 10^(-1)

Answer

I gotchu. The answer I got is 15.9235 or 16

Step-by-step explanation:

So the formula for circumference is Pi times diameter. (If I remember right) Now we can flip this equation to become Circumference divided by pi. This will give us our answer. I dunno if you have to round so here are my two answers.

16 (rounded) or  15.9235 :)

The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end.

The number of minutes to read 6.25 pages will be given as,

⇒ 6.25 x 0.8

⇒ 5 minutes

The number of minutes to take the test will be given as,

⇒ 5.5 - 5

⇒ 0.50 minute

⇒ 0.50 x 60

⇒ 30 seconds

The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.

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Answer:

y=-4x+36

Step-by-step explanation:

y=mx+b

m is slope or rate; so m = -4

y=-4x + b

10=(-4×4) + b

36 = b

y=-4x+36

Using the Fundamental Counting Theorem, it is found that \(1.11 \times 10^{13}\) different telephone numbers would be avaiable worldwide.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Hence, the number of different telephone numbers that would be avaiable is given by:

\(N = n_1n_2 = 1.11 \times 10^3 \times 10^{10} = 1.11 \times 10^{13}\)

\(1.11 \times 10^{13}\) different telephone numbers would be avaiable worldwide.

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The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

The length of the towel bar is 9.5 inches.

Length is used to measure distance, In the International System of Quantities, a quantity with the distance dimension is referred to as length. The majority of measurement systems select a base unit for length from which all other units are derived. The metre serves as the International System of Units' fundamental unit of length.

Suppose, the length of the towel bar is x inches

The distance from each end of the towel bar to the end of the door is 9

inches. So, the total width of the door will be:[(x+(9*2)]=(x+18) inches

Given that, the width of the door is 27 inches 27.5 So, the equation will be.

x+18=27.5

x=27.5-18=9.5

Thus, the length of the towel bar will be 9.5 inches.

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The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}

From the question, we have the following parametes that can be used in our computation:

Set = prime numbers

Cardinality = 5

The cardinality implies that the number of elements in the set is 5

5 prime numbers greater than 11 are 13, 17, 19, 23, 29

Hence, the set is {13, 17, 19, 23, 29}

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Answer:

3

Step-by-step explanation:

650/250 = 2.6 (3)can't sell half a cycle

Answer:

90 + 0.1 + 0.02 + 0.005

Step-by-step explanation:

Answer:

a) Population of adults who watch local news

b) Population of adults who use cell phones or tablets.

c) They conducted a sample survey

d) I will find the results interesting.

I as a restaurant owner will also enable a Search Engine Optimization for my website to place my restaurant on the top when local restaurants are searched.

Step-by-step explanation:

a) This finding is applicable to the population of adults who watch local news.

This is because the sample will be collected from the population of adults who watch local news to see the percentage that actually get those local news from their cell phones or tablet computers.

b) This finding is applicable to the population of adults who use cell phones or tablets.

The sample will be collected from the population of adults who use cell phones or tablets. A survey can now be carried out to find out what they use their phones or tablets for, whether to search for restaurants or get weather reports.

c) The Pew Researchers conducted a sample survey because a census data cannot contain the information about weather reports, local restaurants or news channel. Precise information can only be gotten from a sample survey.

d) Yes, I will. Having an idea of how large the population of those that search for local restaurants on phones and tablets will enable me to channel my publicity towards this media. I as a restaurant owner will also enable a Search Engine Optimization for my website to place my restaurant on the top when local restaurants are searched.

Answer:

- L < 1, so by series ratio test, It is convergent

- sum of the convergent series is 49

Step-by-step explanation:

Given the data in the question;

series = 7 + 6 + 36/7 + 216/49 + .........

⇒ 7 + 7 × 6/7 + 7 × 36/49 + 7 × 216/343 +........

⇒ 7 + 7 × 6/7 + 7 × 6²/7² + 7 × 6³/7³ .....

⇒ 7( 1 + 6/7 + 6²/7² + 6³/7³ + ..... )

⇒ 7 ∞∑_\(_{n=0\) \((\) 6/7 \()^n\)

⇒ ∞∑_\(_{n=0\) ( \(6^n\)/\(7^{n-1\) )

So, L =  \(\lim_{n \to \infty} | \frac{a_{n} + 1}{a_n} |\)

= \(\lim_{n \to \infty} | \frac{\frac{6^n+1}{7n} }{\frac{6^n}{7^n-1} } |\)

= \(\lim_{n \to \infty} | \frac{6}{7} |\)

= 6 /7

L < 1

so by series ratio test,

It is convergent

So we find the sun;

Sum of  infinite geometric series is;

⇒ a / (1-r)

here, a = first number and r = common ratio

∑ = 7( 1 + 6/7 + 6²/7² + 6³/7³ + ..... )

a = 1 and r = 6/7

so

∑ = 7( \(\frac{1}{1 - \frac{6}{7} }\) )

= 7( \(\frac{1}{\frac{7-6}{7} }\) )

= 7( \(\frac{1}{\frac{1}{7} }\) )

= 7( 7 )

= 49

Therefore, sum of the convergent series is 49

Answer:

56 units

Step-by-step explanation:

add all numbers then divide by 5

30+45+50+75+80 = 280

280/5 = 56

Answer:hmmvb

Step-by-step explanation:

Answer:

y-intercept is at (0,3)

Step-by-step explanation:

Answer:

4(-2x+3) or -4(2x-3)

Step-by-step explanation:

Honestly I see noting wrong with your answer.

I would factor as either 4(-2x+3) or -4(2x-3)

The length of a rectangle is 7 inches longer than the width (x).



Which is the area (y) when the width (x) is 14 inches?

we know that

The area of rectangle is equal to

A=LW

we have that

L=W+7

so

when the value of W=14 in

substitute

L=14+7=21 in

Find the area

A=(21)(14)=294 in^2

therefore

the answer is

Answer:

Let's denote the number of football games Tommy started as "f" and the number of baseball games he started as "b."

We're given two pieces of information:

Tommy has started a total of 109 RHS games:

f + b = 109 (Equation 1)

The number of baseball games he started was five less than twice the number of football games he started:

b = 2f - 5 (Equation 2)

We can solve this system of equations to find the value of "f," which represents the number of football games Tommy started.

Substitute Equation 2 into Equation 1:

f + (2f - 5) = 109

Combine like terms:

3f - 5 = 109

Add 5 to both sides:

3f = 114

Divide both sides by 3:

f = 38

Therefore, Tommy started 38 football games.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Tommy started with 71

This is the same as writing y = sqrt(4(x+5)) - 1

===============================================

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

Step-by-step explanation:

You probably have a graphing tool to do this:

Answer:

(1/5, 9/5)

Step-by-step explanation:

Given the set of inequities

x+y>2..... 1

4x-y≥-1 .... 2

We are to get the solution point (x,y)

Solving simultaneously

From 1:

x>2-y

Substitute into 2

4(2-y)-y≥-1

4(2)-4y-y≥-1

8-5y≥-1

-5u ≥-1-8

-5y ≥-9

y≤9/5

Since x>2-y

x>2 - 9/5

x>1/5

Hence the required point is (x,y) = (1/5, 9/5)

Answer:

C. (0,3)

Step-by-step explanation:

hope this helps :)

Answer:

C) 6

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Given that 2 ap's have same common difference

given that their 100th terms difference is 100

let the first no. of first series be a1 and second series be a2

then, a(1)100 - a(2)100=100 ---- 1

for 1st series ---- a100=a1+99d

   2nd series ---- a100 = a2+99d

keep these values in (1)

then,  

a1+99d - (a2+99d) = 100

a1+99d-a2-99d=100

therefore, a1-a2 =100 ------------------------------------------- 2

then the difference between their 1000th terms is

for 1st series --- a1000 = a1+999d

for 2nd series --- a1000 = a2+999d

their 100th terms difference is

a(1)1000-a(2)1000

a1+999d-(a2+999d)

a1+999d-a2-999d

therefore we get the value a1-a2

from (2) a1-a2 = 100

therefore the difference between their 1000th terms is 100

The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:

P(A | Male) = P(Male | A) × P(A) / P(Male)

We can find the values of the terms in the formula using the information given in the table:

P(Male) = (25/54) = 0.46 (the proportion of all students who are male)

P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')

P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')

Therefore, plugging these values into the formula:

P(A | Male) = 0.18 × 0.31 / 0.46

P(A | Male) ≈ 0.12

So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

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