The following table shows the number of police calls that were made last year in each of the cities in Hogdon County. If the mean of the data set is 273 calls, find the number of police calls in Thornbury.

Answer:

5/4

Step-by-step explanation:

Use the slope formula

Answer:

9.43398

Step-by-step explanation:

The formula is square root of (x2-x1)^2 + (y2-y1)^2.  

So if you plug in the equation, it is 9.43398.

Answer:

150

Step-by-step explanation:

bc is along a straight line with section 4 straight lines are 180° if bc is 30° then 180°-30°=150°

Answer:

The measure of ∠4 is 150°

Step-by-step explanation:

Given the figure in which BD is the diameter of circle and

m∠1=100°

m(arc BC)=∠3=30°

we have to find the measure of ∠4.

As BD is a straight line as BD is diameter therefore

∠4 and ∠3 forms a linear pair

⇒ ∠4 and ∠3 are supplementary i.e these angles adds up to 180°

∠4 + ∠3 = 180°

∠4+30°=180°

∠4=180°-30°=150°

Hence, the measure of ∠4 is 150°

ANSWER

[tex]x = 5 {y}^{2} + 10[/tex]

EXPLANATION

The given equation is :

[tex]y = 5 {x}^{2} + 10[/tex]

To find the inverse of this function, we interchange x and y to obtain:

[tex]x= 5 {y}^{2} + 10[/tex]

We simplify this function to solve for y.

Therefore the equation that needs to be simplified to find the inverse of the given function is

[tex]x = 5 {y}^{2} + 10[/tex]

The correct choice is is the first option.

Answer: x = 5y2 + 10

Step-by-step explanation: A is the correct answer on the Quiz!

The answer is 19/50 or 38%.

Hope this helps!

Answer:

The probability that a student buys a drink is 0.47.

Step-by-step explanation:

Given : At a high school movie night, the refreshment stand sells popcorn and soft drinks. Of the 100 students who came to the movie, 62 bout popcorn and 47 bought a drink. 38 students bought both popcorn and a drink.

To find : What is the probability that a student buys a drink?          

Solution :

Total number of students are T=100 who came to the movie.

Student who bought popcorn = 62

Student who bought drink = 47

Students who bought both popcorn and a drink = 38

We have to find the probability that a student buys a drink.

Favorable outcome F=47                      

Probability is [tex]P=\frac{F}{T}[/tex]

[tex]P=\frac{47}{100}[/tex]    

[tex]P=0.47[/tex]    

Therefore, The probability that a student buys a drink is 0.47.

Answer:

10/3 hours

Step-by-step explanation:

12x=15x-10

12x-15x=15x-10-15x

-3x=-10

-3x/-3=-10/-3

x=10/3

Answer: Sally will catch up with Jane after 50 minutes.

Step-by-step explanation:

Since we have given that

Speed of Jane of biking = 12 mph

After 10 minutes,

Speed of Sally of biking = 15 mph

Let the distance be 'x'.

According to question, our required equation becomes,

[tex]\dfrac{x}{12}-\dfrac{x}{15}=\dfrac{10}{60}\\\\\dfrac{5x-4x}{60}=\dfrac{1}{6}\\\\\dfrac{1x}{60}=\dfrac{1}{6}\\\\x=10\ miles[/tex]

Thus, total distance would be 10 miles.

So, the time taken by Sally to catch up with Jane is given by

[tex]\dfrac{10}{12}=\dfrac{5}{6}\times 60=50\ minutes[/tex]

Hence, Sally will catch up with Jane after 50 minutes.

10^6/10^-3 = 10^6-(-3) = 10^6+3 =

10^9

Answer:

[tex]One\: Billion[/tex]

Step-by-step explanation:

According to the Quotient-to-Power Exponential Rule, whenever you divide similar bases, you keep the base and subtract the exponents:

[tex]1000000000 = {10}^{9} = \frac{{10}^{6}}{{10}^{-3}}[/tex]

I am joyous to assist you anytime.

For this case we have a function of the form [tex]y = f (x)[/tex], where:

[tex]f (x) = \frac {5 + x} {6 + 3x}[/tex]

We must evaluate the function at[tex]x = a-1[/tex]

So:

[tex]g (a-1) = \frac {5+ (a-1)} {6 + 3 (a-1)}\\g (a-1) = \frac {5 + a-1} {6 + 3a-3}\\g (a-1) = \frac {4 + a} {3 + 3a}[/tex]

Thus, the value of the function is:

[tex]\frac {4 + a} {3 + 3a}[/tex]

Answer:

[tex]g (a-1) = \frac {4 + a} {3 + 3a}[/tex]

Answer:

[tex]h(-9)=-\frac{2}{33}[/tex]

Step-by-step explanation:

The given expression is [tex]h(r)=\frac{2}{3r-6}[/tex]

We want to find the value of h(-9).

We substitute r=-9 to obtain:

[tex]h(-9)=\frac{2}{3(-9)-6}[/tex]

We multiply out to obtain:

[tex]h(-9)=\frac{2}{-27-6}[/tex]

We simplify the denominator to obtain:

[tex]h(-9)=\frac{2}{-33}[/tex]

This is the same as:

[tex]h(-9)=-\frac{2}{33}[/tex]

The value of h(-9) is 0. Function substitution is a mathematical technique that involves replacing a variable with an expression or function, simplifying calculations and solving equations by making them more manageable.

To find h(-9), you simply substitute -9 for r in the function h(r):

h(-9) = (2/3) * (-9) - 6

Now, calculate it step by step:

h(-9) = (-18/3) - 6

Since -18/3 is -6, the equation simplifies to:

h(-9) = -6 - 6

Now, add -6 and -6:

h(-9) = -12

So, the value of h(-9) is -12.

Learn more about Function substitution here:

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Answer:

(6x² - 5)(x² + 2)

Step-by-step explanation:

Given

6[tex]x^{4}[/tex] - 5x² + 12x² - 10 ( factor the first/second and third/fourth terms )

= x²(6x² - 5) + 2(6x² - 5) ← factor out (6x² - 5) from each term

= (6x² - 5)(x² + 2)

Answer:

(x^2 + 2)(6x^2 – 5)

Step-by-step explanation:

6x^4 – 5x^2 + 12x^2 – 10

=(6x^4 – 5x^2) + (12x^2 – 10)

=x^2 (6x^2 – 5) + 2(6x^2 – 5)

=(x^2 + 2)(6x^2 – 5)

Answer

(x^2 + 2) and (6x^2 – 5) are factors of the expression 6x^4 – 5x^2 + 12x^2 – 10

Answer:

The product of 7 and t and 7 multiplied by t

Step-by-step explanation:

Answer:

the answer is the second one 45

Answer:

The number is 6

Step-by-step explanation:

We let the number be x. If we subtract -2 from x we obtain the following result;

x - (-2)

This can be simplified to yield the following result;

x - (-2) = x + 2

we use the rule that negative multiplied by negative yields a positive sign.

We are further informed that the result of the above operation is 8, therefore;

x + 2 = 8

Solving for x yields;

x = 8 -2

x = 6

the number that we are looking for is 6.

The question asks us to find the number that results in 8 when -2 is subtracted from it. To solve this, we can set up an equation. Let x be the number we are looking for:

x - (-2) = 8

We know that in subtraction, we change the sign of the subtracted number and then follow the addition rules. This means our equation becomes:

x + 2 = 8

Now we subtract 2 from both sides to find the value of x:

x = 8 - 2

x = 6

Thus, the number that we are looking for is 6.

Answer:

5

Step-by-step explanation:

4 - 1 = 3

3 + 2 = 5

Hope this helps :)

Have a great day !

5INGH

Hi, hope you’re having a good day!

You have to follow PEMDAS (in US) which is Parentheses, Exponent, Multiplication or Division (left to right) Addition or Subtraction (left to right)

4-1=3

3+2=5

So, the answer is 5!

Hope this helped, thanks for taking your time to read this! ❤️❤️

Answer:

432ft²

Step-by-step explanation:

The dimensions for one wall= 12' by 9'

Area of the wall is given by = width × height

Given width of room = 12' and height of wall =9 feet

Area for one wall= 12×9=108ft²

Area for four walls= 108 × 4=432ft²

Answer:

They will cover 432 feet²

Step-by-step explanation:

* Lets study the information in the problem

- The room has floor with dimensions 12 feet by 12 feet

- The height of the room is 9 feet

- The room has floor and ceiling with same dimensions

- The room has four walls with dimensions 12 feet and 9 feet

- The need to cover the 4 walls

- Each wall shaped a rectangle with base 12 feet and height 9 feet

- The area of the rectangle = base × height

* Now lets solve the problem

∵ The base of the wall = 12 feet  

∵ The height of the wall = 9 feet

∵ The area of the wall = base × height

∴ The area of one wall = 12 × 9 = 109 feet²

- The room has four identical walls

∴ The area of the 4 walls = 4 × 108 = 432 feet²

* They will cover 432 feet²

- The attached figure for more understand

Answer:

The surface area is [tex]1,536\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The surface area is equal to

[tex]SA=B+PH[/tex]

where

B is the area of the ceiling

P is the perimeter of the base

H is the height of the walls

substitute the given values

[tex]SA=(20)(24)+2(20+24)(12)[/tex]

[tex]SA=480+1,056=1,536\ ft^{2}[/tex]

Mrs. Karabin will be painting a total of 1536 square feet in her garage. This includes 1056 square feet for the walls and 480 square feet for the ceiling.

To solve this, we need to calculate the surface area for the walls and ceiling of the garage. Because all sides of this garage are rectangular, we can find the area by multiplying the length by times width for each side.

For the walls: There are two walls that are 12 feet high and 24 feet long and two walls that are 12 feet high and 20 feet wide. So, we calculate (12x24)x2 + (12x20)x2 = 576 + 480 = 1056 square feet.

For the ceiling: The ceiling is 20 feet wide and 24 feet long, so we calculate 20x24 = 480 square feet.

Adding these together, Mrs. Karabin will be painting 1056 (for the walls) + 480 (for the ceiling) = 1536 square feet in total.

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Answer:

144

Step-by-step explanation:

you're going 40m per hour

so in 3.6 hours,

the equation is 40×3.6=144 miles

Answer:

144

Step-by-step explanation:

40 x 3.6 = 144

Answer:

4

Step-by-step explanation:

In a 45-45-90 triangle, the length of the hypotenuse is √2 times the legs.

s√2 = 4√2

s = 4

Each leg is 4 units long.

Each length of the side of the triangle is 4 units long.

We have given that side is s and hypotenuse is 4root2.

and also the angle is 45-45-90degrees.

We have to determine the length of the sides

In a 45-45-90 triangle, the length of the hypotenuse is √2 times the legs.

45°−45°−90° triangle is a commonly encountered right triangle whose sides are in the proportion 1:1:√2 .

s√2 = 4√2

s = 4

Therefore each length of the side of the triangle is 4 units long.

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The recursive rule tells you that

[tex]t_2=t_1+3[/tex]

[tex]t_3=t_2+3=(t_1+3)+3=t_1+2\cdot3[/tex]

[tex]t_4=t_3+3=(t_1+2\cdot3)+3=t_1+3\cdot3[/tex]

and so on, with the general rule

[tex]t_n=t_1+(n-1)\cdot3[/tex]

Then with [tex]t_1=1[/tex], you have

[tex]t_n=1+3(n-1)\implies\boxed{t_n=3n-2}[/tex]

Answer:

A.

Step-by-step explanation:

four terms are needed. 1-4

so that eliminates bottom 2 choices

Answer:

The correct option is A) [tex](7+3\cdot 1)+(7+3\cdot 2)+(7+3\cdot 3)+(7+3\cdot 4)[/tex].

Step-by-step explanation:

Consider the provided series.

[tex]\sum_{n=1}^{4}(3n+7)[/tex]

Substitute the value of n = 1,2,3 and 4 respectively.

[tex](3\cdot 1+7)+(3\cdot 2+7)+(3\cdot 3+7)+(3\cdot 4+7)[/tex]

Which can be written as:

[tex](7+3\cdot 1)+(7+3\cdot 2)+(7+3\cdot 3)+(7+3\cdot 4)[/tex]

Therefore, the correct option is A) [tex](7+3\cdot 1)+(7+3\cdot 2)+(7+3\cdot 3)+(7+3\cdot 4)[/tex].

It’s going to be b which is positive 5 and negative 3

Answer:

16%

Step-by-step explanation:

THERE

Answer: 16%

Step-by-step explanation:

Given: Mean : [tex]\mu = 200\text{ pounds}[/tex]

Standard deviation : [tex]\sigma=50\text{ pounds}[/tex]

The formula for z score is given by :-

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

Now, for x=250

[tex]z=\dfrac{250-200}{50}=1[/tex]

The P-value [tex]= P(z>1)=1-P(z<1)[/tex]

[tex]=1-0.8413=0.1587\approx16\%[/tex]

Hence, the percent of the adult pandas weigh over 250 pounds is about 16%.

Answer:

Option B is correct

Step-by-step explanation:

We have function f(x)=(x+3)2

The domain of the function is the set of values for which the function is defined and real.

In our case if x belong to all real numbers the function will be real and defined as given in Option B as function has no undefined points.

All other options are subset of real numbers.

So, option B is correct.

Answer:

9,000

Step-by-step explanation:

multiply the mass value by 1000

Answer:

9000 grams!!!

I hope this helped! :)

Answer:700in (squared)

Step-by-step explanation:

Answer:

700in^2

Step-by-step explanation:

The side facing us: 10*15=150. There are 2 of those sides, so 150*2=300

Right and left: 8*10*2=160

Top and bottom: 15*8*2=240

300+160+240=700

Answer:

what is 1/20 as a decimal and a percentage: 0.05 and 5%

what 1/10 as a decimal and a percentage : 0,1 and 10%

what 12 1/2% as a decimal and a percentage: 12.5% it's already as a percentage, as a fraction 1/8

what is 0.2 as a fraction and a percentage: 1/5 and 20%

what is 25% as a decimal and fraction: 0.25 and 1/4

what is 30% decimal and fraction :  0.3 and 3/10

what is 1/3 as a decimal and percentage : 0.33 and 33%

what's is 0.375 as a fraction and percentage : 3/8 and 37.5%

what is 0.4 as a fraction and percentage : 4/10 and 40%

what is 1/2 as a decimal and percentage : 0.5 and 50%

what is 0.6 as a fraction and percentage : 3/5 and 60%

what is 0.625 as a fraction and percentage: 5/8 and 62.5%

what is 66 1/2% as a decimal and fraction: 0.665 and 665/1000, 133/200

Step-by-step explanation:

These are basically 3 problems, so I won't explain two items for every one of your 13 similar questions.  Here's the explanation for every 3 cases asked in your questions... and the answers.  All you have to do is replace the numbers in the explanations for the ones in each other question asking the same thing.

To express a fraction in percentage, you simply have to put the fraction with a denominator of 100..., for example:

[tex]\frac{1}{20} * \frac{5}{5}  = \frac{5}{100}[/tex]

So, 1/20 is 5%.

[tex]\frac{1}{2} * \frac{50}{50}  = \frac{50}{100}[/tex]

And 1/2 is 50%

To express a percentage as a fraction, you take that percentage and place it over a denominator of 100 and you simplify, like this:

[tex]\frac{12.5}{100} = \frac{1}{8}[/tex]

[tex]\frac{30}{100} = \frac{3}{10}[/tex]

To convert a decimal number to a fraction, the easiest way is to express this number up to the 2nd decimal... then take that as a %.  

Examples:

0.2 you can say 0.2 = 0.20...  so it's 20 hundredths, or 20 per 100... so 20%

0.375, it's already expressed in more than hundredths, so you simply move the dot 2 spots right to get 37.5%

what is 1/20 as a decimal and a percentage: 5% (see above)

what 1/10 as a decimal and a percentage : 10% (save as above)

what 12 1/2% as a decimal and a percentage: 12.5%, it's already as a percentage, if you mean as a fraction... 1/8 (see above)

what is 0.2 as a fraction and a percentage: 1/5 and 20% (see above)

what is 25% as a decimal and fraction: 0.25 and 1/4

what is 30% decimal and fraction :  0.3 and 3/10

what is 1/3 as a decimal and percentage : 0.33 and 33%

what's is 0.375 as a fraction and percentage : 3/8 and 37.5%

what is 0.4 as a fraction and percentage : 4/10 and 40%

what is 1/2 as a decimal and percentage : 0.5 and 50%

what is 0.6 as a fraction and percentage : 3/5 and 60%

what is 0.625 as a fraction and percentage: 5/8 and 62.5%

what is 66 1/2% as a decimal and fraction: 0.665 and 665/1000, 133/200

Try this option:

1.

[tex]\frac{10-4}{(-3)*(-5)+8*2}=6[/tex]

2.

[tex]\frac{8+2-4}{\frac{10}{-5}-(-3)} =6[/tex]

Answer:

A

Step-by-step explanation:

because youre doing more bushels its adding and youd be solving for d

[tex]\bf \begin{array}{ccll} workers&bricks\\ \cline{1-2} 14&36000\\ x&54000 \end{array}\implies \cfrac{14}{x}=\cfrac{36000}{54000}\implies \implies \cfrac{14}{x}=\cfrac{2}{3} \\\\\\ 42=2x\implies \cfrac{42}{2}=x\implies 21=x[/tex]

Answer:

21 workers would be your answer.

Answer:

(f * g)(x) = 4x^3 - x^2

[tex]4x^{3}-x^{2}[/tex]

Step-by-step explanation:

We have been given the following functions;

f(x) = 4x - 1

g(x) = x^2

We are required to determine;

(f * g)(x)

This simply means we shall be finding the product of the two functions given;

(f * g)(x) =  f(x)*g(x)

(f * g)(x) =  x^2 * (4x - 1 )

we open the brackets by multiplying each term by x^2

(f * g)(x) = x^2(4x) + x^2(-1)

(f * g)(x) = 4x^3 - x^2

For this case we have that by definition, the domain of a function, is given for all the values for which the function is defined.

We have:

[tex]f (x) = \frac {x + 1} {x ^ 2-6x + 8}[/tex]

The given function is not defined when the denominator is equal to zero. That is to say:

[tex]x ^ 2-6x + 8 = 0[/tex]

To find the roots we factor, we look for two numbers that when multiplied give as a result "8" and when added as a result "-6". These numbers are:

[tex]-4-2 = -6\\-4 * -2 = 8[/tex]

Thus, the factored polynomial is:

[tex](x-4) (x-2) = 0[/tex]

That is to say:

[tex]x_ {1} = 4\\x_ {2} = 2[/tex]

Makes the denominator of the function 0.

Then the domain is given by:

All real numbers, except 2 and 4.

Answer:

x |x≠2,4

Answer:

is d on edge