Annabelles time for a race was 22.7 seconds. Another runners time was 9.85 seconds faster. Write and evaluate an equation with a variable to find the difference between annabelles time and the other runners time

The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

Given two equations  1)6x-10<8 and 2) \(\frac{x}{3}\)+6 > 12

Solving the above equations

1) 6x-10≤8

⇒6x ≤ 18

⇒X≤ 3

⇒x ≤ 3 i.e.  x ∈ (-infinity,3]

2)\(\frac{x}{3}\)+6 > 12

⇒\(\frac{x}{3}\) > 6

⇒x>18

⇒ x > 18 i.e.  x ∈ (18,infinity)

Therefore,The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

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Answer:

800 Books were signed out

Step-by-step explanation:

20% of 4000 is 800

Hi there!  

»»————-　★　————-««

I believe your answer is:

800 books.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{20 Percent of 4,000:}}\\\\\rightarrow 4,000* (20/100)\\\\\rightarrow \boxed{800}\)

⸻⸻⸻⸻

There should be 800 books that were teen romance.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

513

Step-by-step explanation:

B×L=Area

Base=24

Length =19

24×19=513

1. <C= 90 degree

AC =  13.25 unit

<B= 60 degree

2.  <C= 90 degree

AC =  13.

<B= 60 degree

1. Using Sine law

sin C/4 = sin 30/2 = sin B/ AC

so, sin C/4 = 1/4

sin C = 1

C= 90 degree

and, <B= 180 - 30- 90= 60 degree

So, sin 30/2 = sin 60/ AC

1/4 AC = √3/2

AC = 2√3

2. Using Sine law

sin 30/ 7.65 = sin B / 15.3

1/15.3 = sin B/15.3

sin B= 1

B = 90 degree

and, <C= 180 - 90 - 30 = 60

So, 1/15.3 = sin 60/ C

C = 13.25

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Answer:

a. 1.2

Step-by-step explanation:

From the given question, we will notice that the dependent variable, as well as the independent variable, are log-transformed in the model. Thus, a 1% increase in S will likely result in 1.2% increase in Y.

Answer:

it's 4

Step-by-step explanation:

y - y1= m(x- x1)

y- (-1)= 2(x - 3)

y+ 1= 2x- 6

y= 2x - 7

The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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Answer:

because only two of it's sides are parallel

Answer:

In this quadrilateral, opposite sides are not parallel. So, this quadrilateral is not a parallelogram.

Step-by-step explanation:

In Parallelogram, opposite sides are parallel

Answer:

I think it would 12 and 14

Answer:

Amount of sales

Step-by-step explanation:

The dependent variable also called the measured or predicted variable is simply the variable obtained due to inputs in of the independent variable. It is the variable which is being measured in an experiment. Here, the test is that the number of sales depends on the number of contact. Here, the number of contacts will has an influence or determines the amount of sales, hence, the number of contacts is the independent variable while the amount of sales is the dependent variable.

Answer: 3/1

Step-by-step explanation:

Your supposed to divide by 4 on the top and bottom.

12 4= 3

4 4 = 1

Answer:(1) 11-2n is the correct answer

Step-by-step explanation:

The required  exponential function that contains the points (3,24) and (4,48) is y = 3(2)^x

The standard exponential function is expresses as y = ab^x

Given the coordinate points (3,24) and (4,48), the equivalent equations are:

24 = ab^3 ......... 1

48 = ab^4

Take the ratios

48/24 = b^4/b^3

2 = b

Substitute b = 2 into equation 1

24 = a(2)^3

8a = 24

a = 3

Hence the required  exponential function that contains the points (3,24) and (4,48) is y = 3(2)^x

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Answer: Recognize the equation as that of a vertical line passing through the x-axis at −3

The graph of the linear function 2x + 3y = 1470 is given by the image presented at the end of the answer.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The function for this problem is defined as follows:

2x + 3y = 1470.

In slope-intercept format, it is given as follows:

3y = -2x + 1470

y = -0.67x + 490.

Hence the function is graphed considering that:

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Answer:

Slope= - 1/2

Step-by-step explanation:

Answer:

{x,y} = {2,7}

Step-by-step explanation:

sorry if i got it wrong

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Answer:

STo solve for m in the equation -319.45 = m, we can isolate the variable m by adding 319.45 to both sides of the equation:

-319.45 + 319.45 = m + 319.45

This simplifies to:

0 = m + 319.45

Finally, we can subtract 319.45 from both sides to solve for m:

0 - 319.45 = m + 319.45 - 319.45

-319.45 = m

Therefore, the value of m is -319.45.tep-by-step explanation:

Hey there!

Anything powered to the 1st is that number….. just like anything powered the zero is 0.

Anyway, let’s answer your question.

14^1

= 14 * 1

= 14

Therefore, your answer should be:

14

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

14

Powers in math are exponents that raise a given value to its power. As a simple rundown, when you raise something to an exponent, you are multiplying that value by itself as many times as the exponent declares.

For instance, if you were to raise 2 to the 2nd power (2²), this would mean that you are multiplying 2 two times: \(2\times2=4\)

To solve, raise 14 to the 1st power:

\(14^1 = 14 \times 1\)

\(14\)

The final answer is 14.

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Answer:

martina is 22 feet below sea level

Step-by-step explanation:

Marina goes down 20 feet

then rises 7 feet which is 20 - 7 = 13

then goes down 9 more feet which is 13 + 9 = 22 feet

20 - 7 + 9 =22

Martina is 22 feet below sea level.

a) we are 95 percent confident the proportion of households in its county that own at least one dog lies in the interval (0.298,0.536)

b) it does not provide evidence that p is different from 39% .

c)   66   households were selected in the humane society's sample

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

a)

95 percent confidence level  = 0.417 ± 0.119 =(0.298,0.536)

we are 95 percent confident the proportion of households in its county that own at least one dog lies in the interval (0.298,0.536)

b)  it does not provide evidence that p is different from 39% .

Since 0.39 is included in the interval (0.298,0.536)  

c) margin of error = ( 0.536 - 0.298)/2

z√(pq)/n  = 0.119

=> 1.96 ( √((0.417(1-0.417)/n) ) = 0.119

=> 65.95 = n

=> n= 66

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Answer:

the time Ari spent to walk is

\(1 \frac{3}{4} \div 1 \frac{1}{4} = 1.4(h)\)

the time Beth spent to walk is

\(1 \frac{1}{2} \div 1 \frac{1}{8} = 1.(3)(h)\)

the time Cathy spent to walk is 1h21' = 1.35(h)

so the time Ari spent > Cathy > Beth

=> list: Beth, Cathy, Ari

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.

When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.

Here we have

24x⁶ - 1029y³  

Take 3 as common

=> 3(8x⁶ - 343y³)  

As we know 8 = 2³ and 343 = 7³

=> 3[(2x²)³ - (7y)³]  

From the algebraic identities

Take a = 2x² , b = 7y and apply above formula

=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]  

=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]  

Therefore,

(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)  

Therefore,

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

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Answer:

A committee of one boy and one girl can be chosen in 252 different ways.

Step-by-step explanation:

Given that a class contains 18 girls and 14 boys, and for all parts of this question, each boy and girl are distinguishable from one another, to determine in how many ways can a committee of one boy and one girl be chosen, the following calculation has to be done:

18 x 14 = X

252 = X

Therefore, a committee of one boy and one girl can be chosen in 252 different ways.

3(2a - 2) = 2(3a - 3)

6a - 6 = 6a - 6

6a - 6a = -6 + 6

0 = 0

Answer: all reel numbers are solutions

\(\\ \sf\longmapsto 3(2a-2)=2(3a-3)\)

\(\\ \sf\longmapsto 6a-6=6a-6\)

\(\\ \sf\longmapsto 6a-6-6a+6=0\)

\(\\ \sf\longmapsto 0=0\)

Hence

\(\\ \sf\longmapsto a\epsilon R\)

Answer:

90

Step-by-step explanation:

i did the math hope this helps you out