What is the length of DE?
2.9 units
7.2 units
12.5 units

Answer:

She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started

Step-by-step explanation:

There is a relation between the three sides of the right triangle

∵ Jennifer bikes 7 miles south

∵ She turns to bike 13 miles east

∵ South and East are perpendicular

→ That means the distance from her start point to end point represents

   a hypotenuse of a right triangle, whose legs are 7 and 13

∴  (hypotenuse)² =  (leg1)² + (leg2)², where

∵ Leg1 = 7 miles

∵ leg 2 = 13 miles

∴ (hypotenuse)² =  (7)² + (13)²

∴ (hypotenuse)² = 49 + 169

∴ (hypotenuse)² = 218

→ Take √  for both sides

∴ hypotenuse = [tex]\sqrt{218}[/tex]

∴ hypotenuse ≅ 14.76482306

∴ She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started.

Answer:

Line Segment = FG

Endpoint = C

Step-by-step explanation:

Line segment means a piece of the line

Endpoint meant a point on the end

Answer:

Step-by-step explanation:

AB is a line segment

 An end point would be point C on  CD

Answer: 11

Step-by-step explanation:

Based on te question in the picture (which is different from what you wrote)

x^2 - 3x  +  1

-2^2 - 3(-2) + 1

4 + 6 + 1 = 11

Answer:

y=-3x+1

Step-by-step explanation:

Answer:

7.5 mph

Step-by-step explanation:

6 times 10 is 60 minutes which is an hour

3/4 times ten is 7.5

Answer:

0.50%

Step-by-step explanation:

Answer:

I think around 17 min...

Step-by-step explanation:

there is 60 sec in a minute so divide 60/8 , divide 60/6, then add them together....

60/8= 7.5 and 60/ 6=10

so 7.5+10 = 17.5

somewhere around there

Answer:

C

Step-by-step explanation:

When the steps are followed. They both pay the same amount

Answer:

C

Step-by-step explanation:

A: Helen paid $60 at store A for 4 Dress Shirts

B:Henry bought 4 dress shirts at Store B for $63

D: (1 shirt)Store A with discount is $15 and at Store B (with $9 coupon) $9 , though it is true with one shirt, it is not certain this will happen with a greater amount of shirts.

Answer:

Revenue(net profit) = 720.00 £ (-35%)

Step-by-step explanation:

Given that Poppy Lapel Pins made 1000 Poppy Lapel Pins that costed £1.10 each to make. This is what is subtracted from the sales. Which means 1100£ is what is deducted from the net(total) profit. 1000 * £1.10 = 1110.00£ (cost)

When it says that 35% of these are given to charity, these are the number of pins that they did not make profit off of. It also says the remaining are sold which means that the other 65% are sold since 100%-35% = 65%.

Referring back to how 1000 total pins are sold, we are given that 35% of these are given to charity which are the pins that the company does not make profit off of. Because 35% of these are disregarded from profit 1000 minus 35% of 1000 is 1000 - 350 = 650 pins (number of pins sold for profit).

We are also given that these 650 pins are split up into another set of sales, being 60% of these is sold for 3£ each pin, and the other 40% are sold for 5£ each 2 pins.

Now we can set up an expression to solve for the net profit as a quantity.

(650 × 60% × 3£) + ( 1/2 × 650 × 40% × 5£)

= ( 390 × 3£ ) + ( 260 × 1/2 × 5£) = (1170.00£) + (650£) = (1820.00£).

Then to find the revenue or total income made, we must subtract the *cost* from the *net profit*

Revenue = profit - cost.

Revenue = 1820.00£ - 1100.00£ = 720.00£.

Once that is done, to find the percent margin, we must subtract the revenue from the cost all divided by the cost, and multiplied by 100( to convert it to a precent ).

Margin = ((Revenue-cost)/cost × 100)%

Margin = ((720.00£-1100.00£)/1100£ × 100)% = -380/1100£ × 100%= -0.345454... × 100% ≈ -35%

Answer:

Step-by-step explanation:

27,33

9*3 is 27

11*3 is 33

33-27 is 6

i only have one, sorry!

Answer:

Step-by-step explanation:

Let the larger number = y

Let the smaller number = x

x/y = 9/11

y - x = 6

Add x to both sides of the second equation

y = 6 + x

Substitute into the first equation

x/(x + 6) = 9/11

Cross multiply

11x = 9(x + 6)

Remove the brackets

11x = 9x + 54

Subtract 9x from both sides.

2x = 54

x = 54/2

x = 27

y = 27 + 6

y = 33

(27,33)

The way I've done it, there isn't a second pair.

I suppose you could do it this way.

9/11 = -27/-33

-27 - - 33 = 6

So the second pair could be

(-27, - 33)

A function assigns the values. The function that represents a function with zeros at -3,-1, 0, and 6 is f(x)=x(x-6)(x+3)(x+1).

A function assigns the value of each element of one set to the other specific element of another set.

The function that represents a function with zeros at -3,-1, 0, and 6 is

f(x)=(x+3)(x+1)(x+0)(x-6)

f(x)=x(x+3)(x+1)(x-6)

f(x)=x(x-6)(x+3)(x+1)

Hence, The function that represents a function with zeros at -3,-1, 0, and 6 is f(x)=x(x-6)(x+3)(x+1).

Learn more about Function:

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#SPJ2

Answer:

C

Step-by-step explanation:

-9×4

= -36

...

-9 × -3j = 27j

THEREFORE...

-36+27j

The maximum number of terms fourth-degree polynomial function in standard form can have is 5

The general form of an nth degree polynomial is:

[tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]

The maximum number of terms that an nth -degree polynomial can have is n+1

For a fourth degree polynomial, n = 4

Substitute n = 4 into [tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]

[tex]p(x) = a_4x^{4}+a_{4-1}x^{4-1}+a_{4-2}x^{4-2}+a_{4-3}x^{4-3}+a_{4-4}x^{4-4}\\\\p(x) = a_4x^4+a_3x^3+a_2x^2+a_1x+a_0[/tex]

The maximum number of terms of p(x) above, when n = 4 is (4+1)

The maximum number of terms fourth-degree polynomial function in standard form can have is 5

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Answer:

Whats your question?

Step-by-step explanation:

Answer:

MINE CRAFT U SHOULD NEVER PLAY

Step-by-step explanation:

Answer:

No they are not equivalent because 3/4 would be equivalent to 6/8, 9/12, 12/16/ 15/20. 16/20 would be the greatest fraction because in its simplest form it would be 4/5.

Answer:

the side is halved the area of the square will be one fourth

Step-by-step explanation:

example : 6cm

area : 6x6 = 36

now half of 6 is 3

so : 3x3 = 9

one-fourth of 36 is 9

Answer:

sure ill help

Step-by-step explanation:

Answer:

a+b=f

Step-by-step explanation:

180-f= c

180-(a+b)= c

SO

a+b= f

Answer: 7 months

Step-by-step explanation:

He started at 4 pounds so if he grew 3 pounds every month, it would take 7 months to grow 21 pounds. 21 pounds plus 4 pounds is 25 pounds.

Answer:

7 months

Step-by-step explanation:

3 times 7 is 21 than you add the original 4 and get 25 so therefore the answer is 7 months

Answer:

Step-by-step explanation:

Given that the equation that represents the total cost is given as

C=900+100p--------1

this equation is the same as the equation of a straight line, and we can deduce from it when we compare it the straight line equation

the equation of a line is given as

y=mx+c------2

comparing equation 1 and 2 we have the slope as

m=100

In the context of this problem m=100 means that the cost of producing a phone per material and labour cost is $100

Answer:

The slope of the function is 100 which represents the additional cost to produce each phone.

Step-by-step explanation:

The slope shows how much more Lily must pay for each additional phone that is manufactured, representing the additional cost of producing each phone attributed to labor and materials.

Have a good day :)

Answer:

(a) 0.25

(b) 0.125

Step-by-step explanation:

The probability of the child being a boy or a girl is 50%.

That is, P (B) = 0.50 = P (G).

It is provided that the family selected has three children.

(a)

Compute the probability that the family has three boys if it is known that one child is a boy as follows:

[tex]P(3B|1B)=\frac{P(3B\cap 1B)}{P(1B)}[/tex]

                 [tex]=\frac{P(3B)}{P(1B)}\\\\=\frac{(0.50)^{3}}{0.50}\\\\=0.25[/tex]

Thus, the probability that the family has three boys if it is known that one child is a boy is 0.25.

(b)

Compute the probability that the family has three boys if it is known that the first child is a boy as follows:

The gender of the children are independent of each other.

So, if the first child is a boy then the probability of having three boys is:

P (3 boys | 1st boy) = P (1st boy) × P (2nd boy) × P (3rd boy)

                               = (0.50)³

                               = 0.125

Thus, the probability that the family has three boys if it is known that the first child is a boy is 0.125.

Answer:

(6,-3) and (-4, -3) = zero slope

(-7, 8) and (-7, 0) = undefined slope

(2, 4) and (5, 1) = negative slope

(3, 5) and (-1, 2) = positive slope

:)

Step-by-step explanation:

got it right on edge

Step-by-step explanation:

The equation is given by :

63.25=800r+3.50

Here,

63.25 is the electric company charges

3.5 is an administrative fee

800 is charge per kilowatt hours

r is rate per kilowatt hour

In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.

We can solve it as follows :

63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)

59.75=800r

[tex]r=\dfrac{59.75}{800}\\\\r=0.0746[/tex]

Answer:

The person with the larger value means they are moving at a higher acceleration

Step-by-step explanation:

Renee: 10 miles / 105 minutes = 0.095 mi/min

Amy: 8 miles / 90 minutes = 0.088 mi / min

Answer:

[tex]10^{17}[/tex]

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

x=11

Step-by-step explanation:

take 90+35 = 125

then take 180-125=55

then take 55 divided by 5 to get the answer of 11

I believe the answer is 4/5x +2. Sorry if I’m wrong.

Answer:

11. A) x = 0

y = 2x + 5

=> y = 2 * 0 + 5

=> y = 0 + 5 = 5

=> y = 5 (First blank)

x = 1

y = 2x + 5

=> y = 2 * 1 + 5

=> y = 2 + 5 = 7

=> y = 7 (Second blank)

x = 2

y = 2x + 5

=> y = 2 * 2 + 5

=> y = 4 + 5

=> y = 9 (Third blank)

x = 3

y = 2x + 5

=> y = 2 * 3 + 5

=> y = 6 + 5

=> y = 11 (Fourth blank)

x = 4

=> y = 2x + 5

=> y = 2 * 4 + 5

=> y = 8 + 5

=> y = 13 (Fifth blank)

11. B)  x = 0

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 0 * 0 + 1

=> y = 0 + 1

=> y = 1 (First blank)

x = 1

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 1 * 1 + 1

=> y = 3 + 1

=> y = 4 (Second blank)

x = 2

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 2 * 2 + 1

=> y = 12 + 1

=> y = 13 (Third blank)

x = 3

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 3 * 3 + 1

=> y = 27 + 1

=> y = 28 (Fourth blank)

x = 4

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 4 * 4 + 1

=> y = 48 + 1

=> y = 49 (Fifth blank)

For more info, here's a picture,

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Thank You!!

Answer:

9+10 is 19 i-

Step-by-step explanation: