Megan made a paper chain that was 4m long. Mason’s chain was 479 cm long. Who’s was the longest? By how much?

From the given figure,

Subtracting AB and DC, so,

\(6 - 3 = 3 \: cm\)

As we know that :-

\(d = \sqrt{ {5}^{2} - {3}^{2} }\)

\(→d = 4 π cm\)

Since:-

\(c = πd\)

\(c = 4πd\)

So, Answer is 4 π d

Answer:

U= ka +ba=a (Given)

Step-by-step explanation:

U=ka + baa= Ukinana HAHAHA

Answer:

\(a = \frac{u}{k + b} \)

Step-by-step explanation:

Factor out the common term a.

\(u = a(k + b)\)

Divide both sides by k + b.

\( \frac{u}{k + b} = a\)

Switch sides.

\(a = \frac{u}{k + b} \)

hence, the answer is u/k + b.

The correct option is that C. Carmen disagreed and said, "No, the answer is 72x^12"

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

It should be noted that when dividing exponents with same base, we will subtract the powers and when multiplying them, we will add the powers.

Here, the study team was discussing how to multiply 6x^10 by 12x^2. Therefore, this will be:

= 72 × x^(10 + 2)

= 72x^12.

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Answer:

D. all real numbers

Step-by-step explanation:

i think this is the answer sorry if you get it wrong.

The probability of x successes in the n independent trials of the experiment is 0.1640625

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, n=9​, p=0.5​, x≤3 we need to find probability of x successes in the n independent trials of the experiment.

We know that,

P(X=x) = ⁿCₓpˣq⁽ⁿ⁻ˣ⁾

q = 1-p = 1-0.5

q = 0.5

P(X=x) = ⁹C₃(0.5)³(0.5)⁹⁻³

P(X=3) = ⁹C₃ (0.5)³(0.5)⁶

⁹C₃ = 9! / 3!(9-3)! = 9!/3! × 6!

⁹C₃ = 84

P(X=3) = 84×0.125×0.015625

= 0.1640625

Hence, the probability of x successes in the n independent trials of the experiment is 0.1640625

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The vertices of the image N′M′O′  are N' = (-5, -4), M' = (-2, -3) and O' = (-3, -5)

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

Triangle NMO has vertices at N(−5, 2), M(−2, 1), and O(−3 , 3).

The vertices of image N′M′O′ if the preimage is reflected over y = −1 is calculated using

N' = (x, -y - 2)

M' = (x, -y - 2)

O' = (x, -y - 2)

So, we have

N' = (-5, -2 - 2)

M' = (-2, -1 - 2)

O' = (-3, -3 - 2)

Evaluate

N' = (-5, -4)

M' = (-2, -3)

O' = (-3, -5)

Hence, the vertices of the image N′M′O′  are N' = (-5, -4), M' = (-2, -3) and O' = (-3, -5)

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Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

Answer: (B) 4

Step-by-step explanation: first, we know the perimeter is 4 times the length of the radius. So, we can make the equation: P=4r

Now, we can plug this into the arc length equation:

S=πrθ/180

Solve for θ(theta):

4r=πrθ/180

720/π = θ

720/π degrees = 4 radians

θ = 4 radians

Option A is the correct answer. the radian measure of the central angle of the sector is two(2)

The circumference of a circle: It is defined as the linear distance around it, a circle is opened to form a straight line, then the length of that line will be the circle’s circumference.

There is a formula to calculate the perimeter or circumference of a circle given by=2*pi*r

Where r is the radius.

If the perimeter of a sector is 4 times its radius, then the arc measure of the sector is

4r-2r=2r

so if 2*pi radians (full circle) has a length=2*pi*r

X radians contains 2*r

Then the X value is defined as:

X=2*r*(2*pi)/(2*pi*r)

X=2

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Answer:

tyyyyyyyyyyyyyyyyyyyyyyyy!!!!!

Therefore, the area of the sign is 133 square feet or 100 square feet when x = 3, depending on the method used to calculate it.

Area is a mathematical concept that measures the size of a two-dimensional surface or region in terms of square units. It is commonly expressed in square units, such as square feet or square meters. The area of a shape or figure is calculated by multiplying the length of its base by its height, or by using a specific formula depending on the shape.

Here,

a. The length of the sign can be represented by the expression 3x + 1 ft.

b. 1. When x = 3, substituting into the expression for the area gives:

15(3)² - 3 - 2 = 133 square feet.

2. Substituting x = 3 into the expressions for the length and width gives:

Length = 3(3) + 1

= 10 ft

Width = 3(3) + 1

= 10 ft

Multiplying the length and width gives the area:

10 ft x 10 ft = 100 square feet.

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Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

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Answer:

C(5, 4)

Step-by-step explanation:

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Answer:

(5, 4)

Step-by-step explanation:

when you reflect off the y-axis, you switch (x,y) to (-x,y)

So

(-5, 4) --> (5, 4)

Hope this helps,

Feel free to ask more questions if I need to explain more.

Answer:

How many couples bought tickets?

50

Step-by-step explanation:

s + 2c  = 196              Eq. 1

6s + 10c = 1076          Eq, 2

s = single tickets

c = couple tickets

From Eq. 1:

s = 196 - 2c                 Eq. 3

Replacing Eq. 3 in Eq. 2:

6(196-2c) + 10c = 1076

(6*196 + 6*-2c) + 10c = 1076

(1176 - 12c) + 10c = 1076

1176 - 2c = 1076

1176 - 1076 = 2c

100 = 2c

c = 100/2

c = 50

From Eq. 3:

s = 196 - 2c

s = 196 - 2*50

s = 196 - 100

s = 96

Check:

From Eq. 2:

6s + 10c = 1076

6*96 + 10*50 = 1076

576 + 500 = 1076

The solution to the proportional relationship (2x - 4)/39 = (x + 6)/24 is given as follows:

x = 36.67.

The proportional relationship for this problem is defined as follows:

(2x - 4)/39 = (x + 6)/24

As the measures are proportional, we can apply cross multiplication, hence:

24(2x - 4) = 39(x + 6).

Applying the distributive property to each side of the equality, we have that:

48x - 96 = 39x + 234

Hence, isolating x, the solution is obtained as follows:

48x - 39x = 234 + 96

9x = 330

x = 330/9

x = 36.67.

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Answer:

35 per miles

Step-by-step explanation:

im dum∵b

Answer:

D. x = 32 and x = 0

Step-by-step explanation:

You can solve it a multitude of ways one of the easiest ways for me was the quadratic formula.

If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard as a function of x is (150/x - 10)(x - 4).

A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides.

x = width of the billboard designer

Total Area including margin = 150 ft^2

Height of the billboard = Area/width

Height of the billboard = 150/x

Before the height of the billboard = (150/x - 5 × 2)

Before the height of the billboard = (150/x - 10) ft

The width of the printed region billboard = (x - 2 × 2)

The width of the printed region billboard = (x - 4) ft

The area of the printed region of the billboard = The width of the printed region billboard × The height of the printed region billboard

The area of the printed region of the billboard = (150/x - 10)(x - 4)

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The complete question is:

A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 150 ft^2 (including the margins).

If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard.

Area as a function of x =

complete question:

What is the meaning of the term statistical inference?

What is the meaning of the term statistical inference?A/An ---Select--- assumption conclusion observation about the value of a ---Select--- population parameter sample statistic population statistic sample parameter based on information from the corresponding ---Select--- population statistic sample statistic population parameter sample parameter and the associated ---Select--- probability distributions assumptions observations inferences .

Answer:

1. conclusion

2. population parameter

3. sample statistic

4. probability distribution

Step-by-step explanation:

I have filled in the correct answers into the question as we have below. they are in bold letters

Statistical inference is a conclusion about the value of a population parameter based on information from the corresponding sample statistic and the associated probability distribution.

Statistical inference can be defined as the act of using data analysis to get the properties of an underlying probability distribution.

Answer:

OK so he gets 3000 a year

so 3000t is what we need. thats 3000 times the number of years.

His starting salary is 41250, so we would add that on.  

K = 3000t + 41250.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

\( {x}^{2} + {8}^{2} = {y}^{2} ...(1) \\ {x}^{2} + {23}^{2} = {z}^{2} ...(2) \\ {y}^{2} + {z}^{2} = {(23 + 8)}^{2} \\ {y}^{2} + {z}^{2} = {(31)}^{2} ...(3) \)

You should be able to solve this simultaneously...to find x,y and z.

Answer:

about like 4-5

Step-by-step explanation:

its 4 or 5

Answer:

I'm not sure what the answer is but I will tell you when I get it

The time taken by the ambulance to pass the police car is 2 hours and this can be determined by using the formula of speed.

Given :

The following steps can be used in order to determine the time taken by the ambulance to pass the police car:

Step 1 - The distance travel by the car is calculated as:

\(d =72\times 0.25 = 18\)

Step 2 - Now, the difference in speed is calculated as:

\(\rm \Delta s =81-72 = 9\)

Step 3 - Now, the time taken by the ambulance to pass the police car is calculated as:

\(\rm t = \dfrac{d}{\Delta s}\)

\(\rm t = \dfrac{18}{9}\)

t = 2 hours

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Answer:

The first line will have a y-intercept of -3 and a slope of 2

The second line will have a y-intercept of 5 and a slope of -2

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

2/9

Step-by-step explanation:

set: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18 (18 numbers)

factors of 6: 1,2,3,6 (4 numbers)

probabilty that the number is a factor of 6: 4/18 = 2/9

Therefore:

The monthly instalment amounts forms an (a) Arithmetic Progression with common difference 3. (b) Phillips takes 60 months to settle the loan. (c) The sum of the loan is $7410 .

A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

The n-th term of an arithmetic progression is given by:

aₙ = a + ( n - 1 ) d

Where a is the first term and d is the common difference .

(a) Amount of money repaid in the first month = $35

Amount of money repaid in the second month = $38

Amount of money repaid in the third month = $ (38+3) = $ 41

Therefore 41  -38 = 3 and 38 - 35 = 3 . So we see that each monthly instalment is increasing by 3 and the difference between each installment is 3

Therefore the numbers are in an arithmetic progression whose common difference is 3 .

(b) Given the final monthly installment is $ 212

Let us consider that after this is the installment for the n-th month.

∴ aₙ =212 , a= 35 and d=3

Putting the values in the equation of the n-th term of an AP we get:

aₙ = a + ( n - 1 ) d

or, 212 = 35 +(n-1)3

or, 212 - 35 + 3 = 3n

or, n = 60 months

Therefore Phillips takes 60 months to settle the loan.

(c) The formula for the sum of all terms of an AP is given by:

S = (n / 2 ) ( a + aₙ )

or, S = (60/2) × (35+212)

or, S = 30 × 247

or, S = 7410

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