how many 1/5s are in 3

Answer:  \(6\sqrt{5}\)  miles

This is the same as writing 6*sqrt(5) miles

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Work Shown:

P = park

C = city hall

Point P is at the location (10,11)

Point C is at the location (7,5)

Apply the distance formula to find the length of segment PC

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(10-7)^2 + (11-5)^2}\\\\d = \sqrt{(3)^2 + (6)^2}\\\\d = \sqrt{9 + 36}\\\\d = \sqrt{45}\\\\d = \sqrt{9*5}\\\\d = \sqrt{9}*\sqrt{5}\\\\d = 3\sqrt{5}\\\\d \approx 6.7082039\\\\\)

The exact distance between the park (P) and city hall (C) is \(3\sqrt{5}\) miles.

This doubles to \(2*3\sqrt{5} = 6\sqrt{5}\) miles because the runners go from P to C, then back to P again. In other words, they run along segment PC twice. This is assuming there is a straight line road connecting the two locations.

Extra info:

\(6\sqrt{5} \approx 13.41641\) so the runner travels a total distance of roughly 13.4 miles.

Hence, The percentage of households in the town with one or more cars = 75.8%, a standard error to the estimate= 1.92%

Total sample households  = 500

Households in the town with one car = 172

Households in town with two or more cars  =207

Households in the town with one or more cars = 172 + 207

                                                                            = 379

The percentage of households in the town with one or more cars =

(379 / 500)*100 = 75.8%.

A standard error to the estimate  = 1.92%.

Hence, The percentage of households in the town with one or more cars = 75. , a standard error to the estimate= 1.92%

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Answer:

39.75

Step-by-step explanation:

area=length x width

area=7.5 x 5.3 = 39.75

Answer: ? what is the question

Step-by-step explanation:

For the given parallel lines AB and CD, the measure of the angle of the triangle ∠FAB = 25°.

For the given question;

Line AB || Line CD

From the given diagram,

∠CFD = ∠AFB = 110 (corresponding angles)

Now, in triangle ABF

By the property of triangle; sum of all interior angles of triangle is 180.

Thus,

∠AFB + ∠ABF + ∠FAB = 180°

Put the values;

110° + 45° + ∠FAB = 180°

∠FAB = 180° - 155°

∠FAB = 25

Thus, the measure of the angle ∠FAB = 25° in triangle FAB.

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Looking at figure A, we have a prism with a triangular base that looks like a right triangle.

Since the prism has a right triangular base, the base shape is a right triangle (shape 5).

Looking at figure B, we have a prism with a pentagonal base.

Since the prism has a pentagonal base, the base shape is a pentagon (shape 1).

Looking at figure C, we have a prism with a triangular base that looks like an equilateral triangle.

Since the prism has an equilateral triangle base, the base shape is an equilateral triangle.(shape 4).

Looking at figure D, we have a prism with a triangular base that looks like an equilateral triangle.

Since the prism has an equilateral triangle base, the base shape is an equilateral triangle.(shape 4).

Answer:

Megan is not correct

Step-by-step explanation:

Since it takes 20 minutes to cook per kg, a total of 5.4kg will take 20 * 5.4 minutes to cook = 108 minutes to cook

Now, to cook for another 90 minutes. Time now is thus 90 + 108 = 198 minutes

Again, she is to leave for 30 minutes

So therefore, total time spent in cooking the chicken = 198 minutes + 30 minutes = 228 minutes

So the difference in time between 2:30 pm and 6pm is 3 hrs : 30 minutes

There are 60 minutes in an hour , so total amount of minutes is 3(60) + 30 = 180 + 30 = 210 minutes

What we calculated in minutes is more than what Megan says the cooking will take. So Megan isn’t correct

Answer:

a.  f+g = -3x+5 + x^2

b.  f-g =  -3x+5 - x^2

Step-by-step explanation:

g(x) = x^2

I'll assume the other two equations were meant to be:

f(x) = -3x+5, and h(x) = -4x-2

a.  f+g = -3x+5 + x^2

b.  f-g =  -3x+5 - x^2

The consumption bundle that will not be the consumer's choice, given the assumptions of choosing the optimal bundle, is option B) 30 snacks and 12 meals. To determine the optimal consumption bundle, we need to consider the consumer's budget constraint and maximize their utility.

Given that the price of snacks is $4 and the price of meals is $10, and the consumer has $240 remaining on their meal card, we can calculate the maximum number of snacks and meals that can be purchased within the budget constraint.

For option A) 5 snacks and 20 meals, the total cost would be $4 × 5 + $10 × 20 = $200. Since the consumer has $240 remaining, this bundle is feasible.

For option B) 30 snacks and 12 meals, the total cost would be $4 × 30 + $10 × 12 = $240. This bundle is on budget constraint, but it may not be the optimal choice since the consumer could potentially consume more meals for the same cost.

For option C) 20 snacks and 16 meals, the total cost would be $4 × 20 + $10 × 16 = $240. This bundle is also on budget constraint.

Since options A, C, and D are all feasible within the budget constraint, the only bundle that will not be the consumer's choice is option B) 30 snacks and 12 meals. The consumer could achieve a higher level of utility by reallocating some snacks to meals while staying within the budget constraint. Therefore, the correct answer is option B.

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it takes a train going 50 mph approximately 1 ½ miles to stop safely.

What exactly is speed?

The pace at which an object's location changes in any direction. The distance traveled relative to the time it took to travel that distance is how fast something is moving.

                                 Due to its lack of magnitude and merely having a direction, speed is a scalar number.

What is speed distance formula?

That is speed = distance time. Or, to put it another way, you may calculate the time by dividing the distance traveled by the speed. The third input can be calculated if you know two of the inputs.

                      Using the formula 120 x 2 = 60 mph, we can calculate the speed of a car that drives 120 miles in two hours.

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Answer:

A. {-9, -4, -1}

Step-by-step explanation:

Every number on the f(x) side is the domain which is the input numbers.

If you have any additional questions feel free to ask me or your teacher so you can really master what you're learning. :)

Answer:

the last one

Step-by-step explanation:

domain is on the x axis

Answer:

x=2

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x+3)−4=16

Step 1: Simplify both sides of the equation.

4(x+3)−4=16

(4)(x)+(4)(3)+−4=16(Distribute)

4x+12+−4=16

(4x)+(12+−4)=16(Combine Like Terms)

4x+8=16

4x+8=16

Step 2: Subtract 8 from both sides.

4x+8−8=16−8

4x=8

Step 3: Divide both sides by 4.

4x /4  =  8/4  

x=2

Answer:

5

Step-by-step explanation:

4x+12-16=16(distribute)

4x-4=16(combine like terms)

4x(-4+4=0, 16+4=20) (do inverse operation)

4x=20(divide by the coefficient of the variable)

x=5

Answer=5

Answer:

No

Step-by-step explanation:

put 4 where x is and 8 where y is

y = x² - 2x + 1

does

8 = 4^2 -2(4) + 1

8 = 16 -8 + 1

8 = 9  

Does 8 = 9 ?

No

a) standard deviation of the scores of the monthly home run totals in the player’s rookie season will be 1.29

b) The standard deviation of the scores of the monthly home run totals in this season will be 2.738

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

a)The standard deviation of the scores of the monthly home run totals in the player’s rookie season:-

The data from the graph will be

1,0,6,2,0,2

Standard deviation is calculated as:-

\(\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}\)

\(\mu = \dfrac{1+0+6+2+0+3}{6}=2\)

Putting the values we get

\(\sigma = \dfrac{\sqrt{(1-2)^2+(0-2)^2+(2-2)^2+(0-2)^2+(3-2)^2}}{6}}=1.29\)

Hence standard deviation is 1.29

b)The standard deviation of the scores of the monthly home run totals in this season

The data from the graph will be

4,6,4,8,7,13

Standard deviation is calculated as:-

\(\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}\)

\(\mu = \dfrac{4+6+4+8+7+13}{6}=7\)

Putting the values we get

\(\sigma = \dfrac{\sqrt{(4-7)^2+(6-7)^2+(4-7)^2+(8-7)^2+(7-7)^2+(7-13)^2}}{6}}=2.738\)

Hence standard deviation is 2.738

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The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

Answer: Hope it helps

$195

Step-by-step explanation:

You just multiply 6,500 times 3%

6,500 times 3%=195

Answer:

1500

Step-by-step explanation:

each place she walk was 500 hudred feet so add 500 3 times

Answer:

Either horizontal translation 4 units to the left or vertical translation UP 4 units

Step-by-step explanation:

Answer :

The position of C on the number line is 1/8th position.

A number line is a visual representation of the real numbers as points or marks on a straight line. The number line is usually represented horizontally, with zero in the middle and positive numbers to the right of zero and negative numbers to the left of zero.

From the given number line, there are total 8 points between 0 to 1

That means, it's fractions of 8.

Location of point C is on the 1st point,

So, position of C on this number line = (1/8) ÷ (1-0) = 1/8

Therefore, In the number line, C is located in the 1/8th place.

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Answer

Check the question and complete it. It ain't complete

Answer:

（1）：

angle1/2/3/4=90

angle6=51

angle7=40

angle8=89

angle9=51

angle10=40

angle12=50

angle13=130

angle14=50

Step-by-step explanation:

Q1：

angle1 2 3 4 divided 360 into four equal parts

so 360/4=90

angle11=110degree

so angle12 is 180-130=50 degree

because angle 12 3 10 are in triangle

their sum is 180

so angle 10=180-90（angle3）-50（angle12）=40

because angle 10 5 6 sum is 180

so angle 6 is=180-89（angle5）-40（angle10）=51

because angle 5 6 7 sum is 180

angle7=180-51（angle6）-89（angle5）=40

angle8=angle5=89

angle9=angle6=51

angle12 &13sum is 180

so angle13=180-50=130

angle14=angle12=50

√324 simplifies to 18.

What is simplifies?.

To simplify means to make something easier to understand or to reduce something to its most basic form.

For example, if you have a complex mathematical equation, you may simplify it by breaking it down into simpler parts or by using simpler mathematical operations. Similarly, if you have a piece of writing that is difficult to understand, you may simplify it by using simpler language and sentence structure.

In general, the process of simplification involves reducing complexity and making things more accessible and understandable to a wider audience.

1. Write the prime factorization of the radicand

√324=√2-2-3-3-3-3

Apply the product property of square roots. Write the radicand as a product, forming as many perfect square roots as possible.

3. Simplify √324 slove in detail

To simplify √324, we can factorize 324 into its prime factors:

324 = 2 x 2 x 3 x 3 x 3 x 3

Now, we can group the prime factors into pairs of two, where each pair consists of two identical factors:

324 = (2 x 2) x (3 x 3) x (3 x 3)

We can take the square root of each pair, which gives:

√324 = √(2 x 2) x √(3 x 3) x √(3 x 3)

Simplifying each square root, we get:

√324 = 2 x 3 x 3

Multiplying these factors, we get:

√324 = 18

Therefore, √324 simplifies to 18.

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Answer:

The answer would be 35/12 or 2 and 3/4

Step-by-step explanation:

First we need to convert the fractions, so that they have the same denominator. A common denominator is 12. So, we mulitply 4 by 3 (because 4 X 3 = 12) and we do the same thing for 9. This makes the fraction 27/12. Now we mulitply 2/3 by 4 (because 3 X 4 = 12) and we also multiply 4 by 2 which gives us 8/12. Add 27/12 + 8/12 and you get 35/12 which can be simplified to 2 and 3/4.

Answer:

211.68 miles

Step-by-step explanation:

21.6 x 9.8

I would like to be paid, then xD

Answer:

The secant function is undefined for angles where the cosine function equals zero, because dividing by zero is undefined. Therefore, we need to find the values of Θ where cos Θ = 0.

The cosine function equals zero at 90° and 270° (or π/2 and 3π/2 in radians), so we have:

cos 90° = 0, cos 270° = 0

Therefore, the angles that satisfy sec Θ = undefined are:

Θ = 90° + 360°k, Θ = 270° + 360°k

where k is an integer (positive, negative, or zero) that allows us to generate all possible angles in the range 0° ≤ Θ ≤ 360°.

So, the solutions for Θ are:

Θ = 90° + 360°k, Θ = 270° + 360°k

where k is an integer.

Step-by-step explanation: