The product of two consecutive odd integers is 323. What is the larger integer?

Answer:

25.7 m

Step-by-step explanation:

The formula for the circumference of a circle is C = 2(pi)(r), where r is the radius, which in turn is half the diameter.  Thus, the formula for the circumference is C = (d)(pi).  The perimeter of a semicircle is half that, or

C = (pi)(r), which here is (3.14)(5 m) = 15.7 m.  Finally, the total perimeter is the sum of this 15.7 m and the 10 m diameter of the circle:

P = 15.7 m + 10 m = 25.7 m

Answer:

x = –1 AND (-1,2)

Step-by-step explanation:

The axis of symmetry is x = –1

and the vertex is (-1,2)

i know this because the graph is on -1, 2

and I also took the quiz hope it helps ;)

The vertex of the function is (-1, 2).

The axis of symmetry of the function is -1.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = (x + 1)² + 2

f(x) = x² + 2x + 1 + 2

f(x) = x² + 2x + 3

Now it is in the form of ax² + bx + c

a = 1

b = 2

c = 3

The coordinate of the Vertex of the function is (-b/2a, f(x)) = (x, y)

-b/2a = -2/2 = -1

f(x) = (-1)² + 2 x (-1) + 3 = 1 - 2 + 3 = 4 - 2 = 2

Vertex = (-1, 2)

The axis of symmetry is the x-coordinate of the vertex.

= -1.

Thus,

Vertex is (-1, 2).

The axis of symmetry is -1.

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Solution:

Outfit         Shirt       Slacks        Tie

Outfit 1      Blue        Black         Red

Outfit 2     Blue        Grey          Red

Outfit 3    White       Black         Red

Outfit 4    White       Grey          Red

Outfit 5    Black       Black         Red

Outfit 6    Black       Grey         Red

We take the outfits 1, 2 , 5  and 6 as a subset of the sample space.

So these 1, 2, 5 and 6 consists either a blue shirt or a black shirt.

The subset consists of all the outfits that do not have a white shirt.

So the correct options are :

1. (Choice A)

The subset consists of all the outfits that do not have a white shirt.

2. (Choice C)

The subset consists of all the outfits that have a black shirt.

Answer:

Step-by-step explanation:

Two boys want to balance a seesaw perfectly. One boy weighs 240 pounds and is sitting four feet from the fulcrum. The other boy weighs 160 pounds. Where should the lighter boy sit to balance the seesaw?

We solve using the formula

Distance on the fulcrum × Weight of the boy

= 4 × 240 = x × 160

4 × 240 = 160x

x = 4 × 240/169

Answer: Mean = 2.36 Median = 4 Range = 0

Step-by-step explanation:

Mean - the sum of the data values divided by the number of data values

Median - the middle number in an ordered set of data

Range - the difference between the greatest and least numbers in a data set

Answer:

Both solutions are correct

Step-by-step explanation:

Given

Expression:

[tex]14x - 2x +3 = 3(5x + 9)[/tex]

See attachment for Clare and Lins' solution

Required

Determine if they are correct or not

[tex]14x - 2x +3 = 3(5x + 9)[/tex]

Open bracket

[tex]14x - 2x + 3 = 15x + 27[/tex]

Collect like terms

[tex]14x - 2x -15x = -3 + 27[/tex]

[tex]-3x = 24[/tex]

Divide by -3

[tex]x = \frac{24}{-3}[/tex]

[tex]x = -8[/tex]

Both solutions are correct

Answer:

answer is 12 miles vause he can travel faster

Step-by-step explanation:

answer:

3 plants are left !

step-by-step explanation:

hi there!

first lets use our times table to see which number gets use closest to 35 when it is multiplied by 4

4, 8, 12, 16, 20, 24, 28, 32,

4 * 8

= 32

then you can just subtract 35 by 32 to get you final answer of

35 - 32

= 3 plants are left over

( i hope i did the problem right since the wording of it was kinda hard to understand it )

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i made a table with each number being the plant! just in case your a visual learner like me!

but i hope this help you and if i made anything confusing or if i made a mistake please let me know! but other then that i hope you have a good rest of your day :)

There are 3 plants left.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Total number of plants = 35

And, You want to split them equally between 4 sections of your garden.

Now,

To find the left plants after splitting into 4 sections, we can divide and find the remainder as;

The number of left plants = 35 ÷ 4

 4 ) 35 ( 8

    - 32

    -------

         3

Clearly, The remainder = 3

Thus, There are 3 plants left.

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Answer:8.75

Step-by-step explanation:

Answer: it’s B

Step-by-step explanation:

Given Info : What is the difference of the value of Lily's expression , 6x-3, when x=5 and the value of Pedro's expression when x=5 .

To Find :- Show or explain how you got your answer.

Solution:-

The expression is 6x-3 , and we need to find its value at x = 5 , On putting x =5 we have

6*5-3 = 30-3 = 27.

This value will come same in case of Pedro, therefore our required answer is 5

Answer:

48°

Step-by-step explanation:

We solve the above question using circle theorem.

Finding x

The formula is given as

x = 1/2 (150° - 54°)

x = 1/2 (96)°

x = 48°

Answer:y=2+2x

Step-by-step explanation:

Perpendicular means the slope is the opposite reciprocal of the red line’s. Opposite reciprocal means that if the red line has a negative slope the blue line will have a positive one, and you flip the fraction of the red line from 1/2 to 2. The y intercept is at 2 so that’s why there is a +2

Answer:

The speed is: 0.0142MHz

Step-by-step explanation:

Given

[tex]C(s) = 1234s^2 - 35s + 1900[/tex]

Required

The processor speed when the cost is at minimum

First, differentiate C(s) with respect to s

[tex]C(s) = 1234s^2 - 35s + 1900[/tex]

[tex]C'(s) = 2468s - 35[/tex]

The cost is at minimum when [tex]C'(s) = 0[/tex]

So, we have:

[tex]C' = 2468s - 35 = 0[/tex]

[tex]2468s - 35 = 0[/tex]

Solve for s

[tex]2468s = 35[/tex]

[tex]s=\frac{35}{2468}[/tex]

[tex]s\approx0.0142[/tex]

Answer:

1.5 °C

Step-by-step explanation:

-2.5, -1, -0.5, 0, 3, 4, 4.5, 5

median is the middle number in the list of numbers

Answer:

[tex]M(7 ; 4)[/tex]

Step-by-step explanation:

midpoint -M

[tex]M(\frac{x_{1}+x_{2}}{2} ; \frac{y_{1}+y_{2}}{2} )[/tex]

[tex]M(\frac{9+5}{2} ; \frac{6+2}{2} )[/tex]

[tex]M(7 ; 4)[/tex]

Answer:

(7, 4 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (9, 6) and (x₂, y₂ ) = (5, 2) , then

midpoint = ( [tex]\frac{9+5}{2}[/tex] , [tex]\frac{6+2}{2}[/tex] ) = ([tex]\frac{14}{2}[/tex] , [tex]\frac{8}{2}[/tex] ) = (7, 4 )

Answer:

B. 2 12

Step-by-step explanation:

maaf kalo salah ituh jawabbanya menurut guwah

Answer: 6 × 1

To write a number in expanded form, add the places by it's number.

Ex: 231 → 200 + 30 + 1 = 231

In the problem, 6 is what we're expanding.

Since 6 is only just 1 digit, it is possible to expand a 1 digit number. All you'll need to do it multiply the digit by 1.

6 → 6 × 1 = 6

Therefore, 6 × 1 is the expanded form of 6.

Answer:

85

Step-by-step explanation:

425 divided by 8= 85

Answer:

He as 85 race cars.

Step-by-step explanation:

Just divide 425 by 5 and you have your answer.

Answer: Gina and Rhonda work for different real estate agencies. Gina earns a monthly salary of $5,000 plus a 6% commission on her sales. Rhonda earns a monthly salary of $6,500 plus a 4% commission on her sales. How much must each sell to earn the same amount in a month?

Step-by-step explanation:

$5,000 + 6% + $6,500 + 4% = 11500.1 or 11500

The answer should be 10

Answer:

see the explanation below

Step-by-step explanation:

The expression for the cost can be given as

y=mx+c

where x= the distance

           m= the cost to move x distance

            c= the fixed cost

Therefore the total cost to ship the cost will be y

Answer:

5.318 * 10 to power of 8

Step-by-step explanation:

Answer:

5.318 × [tex]10^{8}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given table,

A. The unit rate for each car is,

Car A = [tex]\frac{416}{13}[/tex]

          = 32 miles per gallon

Car B = [tex]\frac{544}{16}[/tex]

          = 34 miles per gallon

Car C = [tex]\frac{665}{19}[/tex]

          = 35 miles per gallon

Car D = [tex]\frac{775}{25}[/tex]

          = 31 miles per gallon

B. From the derived values in A, the car that uses the least amount of gas is Car C.

C. Total distance covered = 496 miles x 4

                                           = 1984 miles

The gallons of gas the Car A would need for the journey can be determined by;

Car A requires 1 gallon for 32 miles

So that for 1984 miles = [tex]\frac{1984}{32}[/tex]

                                    = 62 gallons

Car A would need 62 gallons of gas to make the trip.

D. Amount spent on gas for Car A = $2.12 x 62

                                          = $131.44

E. speed = [tex]\frac{distance}{time}[/tex]

⇒ time = [tex]\frac{distance}{speed}[/tex]

Given the for Car A, speed = 68 miles per hour.

time = [tex]\frac{1984}{68}[/tex]

       = 29.1765

time = 29 hours

It would take approximately 29 hours for Car A to cover the total distance of 1984 miles.

Answer:

Hello! A function is easily identified when an x value does not have more than 1 y value. a y value can have as many x values to infinity, but x can only have one y.

Example...

x                       y

3                       5

4                       5

1                        2

Answer:

34

Step-by-step explanation:

omg please don't listen to the other person it's 34 bc if you look at the angle under 2 it's 34 so that's your answer for one

Answer:

x = 45

Step-by-step explanation:

[tex]\frac{x}{5} -7=2\\\\\frac{x}{5}=9\\\\x=45[/tex]

Answer:

AC = 8 The classification is isosceles

Step-by-step explanation:

Answer:

Number of different ways of filling the position is   8961115245946500

Step-by-step explanation:

There are total of 4 positions which can be arranged in 4! Ways  

Like wise there are 12 positions. Hence the number of arrangements for these 12 positions would be 12!

Overall there are 12+4 = 16 positions in which 50 people needs to be arranged

Number of different ways of filling the position is  

50P16 /(12! *4!)

= 8961115245946500

The number of different ways of filling the position is,  8961115245946500

There are total of 4 positions can be arranged in 4! Ways  

Similarly  there are 12 positions.

Therefore, the number of arrangements for these 12 positions is  12!

If there is an arrangement of the data then we use the permutation

Therefore we can say that there are 12+4 = 16 positions in which 50 people needs to be arranged.

The number of different ways of filling the position is,

[tex]50P16 /(12! *4!)[/tex]

By using the calculater you can find,

= 8961115245946500

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Answer:

I think the answer is 1/2 but dont take my word

Answer:

First answer is 76.50 and the second one is scale factor of 1/2

Step-by-step explanation: Mark brainlist or im deleting my answer :)

Answer:

scale factor = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{WX}{AB}[/tex] = [tex]\frac{12}{8}[/tex] = [tex]\frac{3}{2}[/tex]

------------------------------------------

1 pizza costs $12.75 and feeds 4

To feed 24 students he needs 24 ÷ 4 = 6 pizzas , then

6 cost = 6 × $12.75 = $76.50