A circle has a radius of sqrt 37 units and is centered at (1.3, -3.5) write the equation fo the circle

Answer:

y = 3/4( x+5)( x+4) ( x-1)

Step-by-step explanation:

The formula for the polynomial is

y = c( x- a1)( x- a2) ( x-a3)  where c is a constant and a1,a2,a3 are the zeros

We have zeros -5,-4 and 1

y = c( x- -5)( x- -4) ( x-1)

y = c( x+5)( x+4) ( x-1)

We have a y intercept of -15

That means x=0 and y = -15

-15 = c ( 0+5)( 0+4) ( 0-1)

-15 = c( 5) ( 4) (-1)

-15 = c( -20)

Divide each side by -20

-15/-20 = c

3/4 =c

The equation is

y = 3/4( x+5)( x+4) ( x-1)

Answer:

Congressman Stevens will win the race

Step-by-step explanation:

Considering the margin of error, the possible outcomes for each candidate would be:

Congressman Stevens: from (54 - 3)% to (54+3)%

Challenger Jones: from (44 - 3)% to (44+3)%

Congressman Stevens: from 51% to 57%

Challenger Jones: from 41% to 47%

Therefore, even considering the margin of error, the pollster would be able to safely predict that Congressman Stevens will win the race.

Answer:

3

Step-by-step explanation:

The rate of change between two points a and b(a<b) for a fynction f is given by the formula:

so our rate of change is

Answer:

Step-by-step explanation:

Hypotenuse always have the highest number than base and perpendicular.

Hypotenuse ( h ) = 15

Base ( b ) = 9

Perpendicular ( p ) = 12

Let's see whether the given triangle is a right triangle or not

Using Pythagoras theorem:

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

Plugging the values,

[tex] {15}^{2} = {12}^{2} + {9}^{2} [/tex]

Evaluate the power

[tex]225 = 144 + 81[/tex]

Calculate the sum

[tex]225 = 225[/tex]

Hypotenuse is equal to the sum of perpendicular and base.

So , we can say that the given lengths of the triangle makes a right triangle.

Hope this helps..

Best regards!!

Answer:

[tex]\boxed{Yes.}[/tex]

Step-by-step explanation:

To solve this equation, we can use the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are regular side lengths and [tex]c[/tex] is the hypotenuse.

Now, just substitute the side lengths into the formula and solve!

[tex]9^2 + 12^2 = 15^2[/tex]    Simplify the equation by taking each value to its power.

[tex]81 + 144 = 225[/tex]    Simplify by adding like terms.

[tex]225 = 255[/tex]

Therefore, this is indeed a right triangle.

Answer:

1/3!

Step-by-step explanation:

Good Luck On Whatever You Needed This For!

The probability of drawing a green marble out of the bag without looking is 1/3.

Given that, a bag contains 1 blue, 2 green, and 3 red marbles.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Total number of outcomes =1+2+3 =6

Number of favorable outcomes = 2

Now, probability of drawing green marble

= 2/6

= 1/3

Therefore, the probability of drawing a green marble out of the bag without looking is 1/3.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ6

Answer:

55 games

Step-by-step explanation:

What we have to figure out is the total amount of games they played the whole year. We know they won 20% of their games, which equates to 11 games won in total. In order to find the total amount of games we will need to set up the equation [tex]g = 11/20[/tex]%. We solve this accordingly: [tex]g = (11/20) *100[/tex]; [tex]g = (.55)*100[/tex]; [tex]g = 55[/tex].

Answer:

see explanation

Step-by-step explanation:

Calculate the perimeters by summing the measures of the sides.

Left figure ( starting with base and summing clockwise )

x + 5 + (x - 6) + (y - 5) + 6 + y ( brackets are the measure of the indents )

= x + 5 + x - 6 + y - 5 + 6 + y

= 2x + 2y

Right figure ( starting with base and summing clockwise )

x + 2 + (x - 3) + (y - 2) + 3 + y

= x + 2 + x - 3 + y - 2 + 3 + y

= 2x + 2y

Both figures have perimeters of 2x + 2y cm

Answer:

Carmen bought 5 pounds of coffee

Step-by-step explanation:

The cost of buying coffee is $8.44 per pound. Let us assume she bought x pound of coffee, this means that she spent $8.44x on coffee.

She went to the coffee store with $80 gift card and left with $37.80, this means that after spending $8.44x from the initial $80, she had $37.80. To find the number of pounds she bought, we are to use the following equation:

80 - 8.44x = 37.80

8.44x = 80 - 37.80

8.44x = 42.2

x = 42.2/ 8.44 = 5

x = 5 pounds.

Carmen bought 5 pounds of coffee

Answer:

$39.15

Step-by-step explanation:

We can find that Steve started with $39.15, by adding the price he has now and the price he paid for the pizza.

35.86+3.29=$39.15

Answer:

$39.15

Step-by-step explanation:

$35.86 + $3.29 = $39.15

hOpEfUlLy ThIs HeLpEd!! :33

Answer:

Step-by-step explanation:

The sides of the base are each 5 inches. We see 4 right angles so that we are dealing with a square.

The triangles look to be isosceles. In any event there are 4 of them. So the answer is the 3rd one down.

Answer:

C

Step-by-step explanation:

==================================================

Explanation:

Jane does the job alone and she can finish it in 5 hours. Her rate is 1/5 of a job per hour. By "job", I mean painting the entire fence. Notice that multiplying 1/5 by the number of hours she works will yield the value 1 to indicate one full job is done.

Through similar reasoning, Paul's rate is 1/6 of a job per hour.

Let x be the time, in hours, it takes Peter to get the job done if he worked alone. His rate is 1/x of a job per hour.

Combining the three individual rates gives

1/5 + 1/6 + 1/x = (6x)/(30x) + (5x)/(30x) + (30)/(30x)

1/5 + 1/6 + 1/x = (6x+5x+30)/(30x)

1/5 + 1/6 + 1/x = (11x+30)/(30x)

The expression (11x+30)/(30x) is the total rate if the three people worked together. This is assuming neither worker slows another person down.

Set this equal to 1/2 as this is the combined rate (based on the fact everyone teaming up gets the job done in 2 hours). Then solve for x

(11x+30)/(30x) = 1/2

2(11x+30) = 30x*1 .... cross multiply

22x+60 = 30x

60 = 30x-22x

60 = 8x

8x = 60

x = 60/8

x = 7.5

It takes Peter 7.5 hours, or 7 hours 30 minutes, to get the job done if he worked alone.

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

Here's another equation to solve though its fairly the same idea as above

1/5 + 1/6 + 1/x = 1/2

30x*(1/5 + 1/6 + 1/x) = 30x*(1/2) ... multiply both sides by LCD

30x(1/5) + 30x(1/6) + 30x(1/x) = 30x(1/2)

6x + 5x + 30 = 15x

11x + 30 = 15x

30 = 15x-11x

30 = 4x

4x = 30

x = 30/4

x = 7.5

We get the same answer

Answer:  7 . 5 hrs

Step-by-step explanation:

It takes Jane 5 hours to finish the fence so she can get  [tex]\dfrac{1}{5}[/tex] of the job done in 1 hour.

It takes Paul 6 hours to finish the fence so he can get  [tex]\dfrac{1}{6}[/tex] of the job done in 1 hour.

It takes Peter x hours to finish the fence so he can get  [tex]\dfrac{1}{x}[/tex] of the job done in 1 hour.

Together, it takes them 2 hours to finish the fence so they can get  [tex]\dfrac{1}{2}[/tex] of the job done in 1 hour.

Jane + Paul + Peter = Together

[tex]\dfrac{1}{5}\quad +\quad \dfrac{1}{6}\quad +\quad \dfrac{1}{x}\quad =\quad \dfrac{1}{2}[/tex]

Multiply everything by 30x to eliminate the denominator:

[tex]\dfrac{1}{5}(30x) + \dfrac{1}{6}(30x) +\dfrac{1}{x}(30x) =\dfrac{1}{2}(30x)[/tex]

Simplify and solve for x:

6x + 5x + 30 = 15x

      11x + 30 = 15x

              30 = 4x

              [tex]\dfrac{30}{4}=x[/tex]

              7.5 = x

Answer:

3x√5 + 6√10x + 5√3x + 10√6

Step-by-step explanation:

(√3x + √5)(√15x + 2√30)

The above expression can be evaluated as follow:

(√3x + √5)(√15x + 2√30)

Expand

√3x (√15x + 2√30) + √5(√15x + 2√30)

x√45 + 2√90x + √75x + 2√150

Express in the best possible surd form.

x•3√5 + 2•3√10x + 5√3x + 2•5√6

3x√5 + 6√10x + 5√3x + 10√6

We can not simplify further.

Therefore,

(√3x + √5)(√15x + 2√30) =

3x√5 + 6√10x + 5√3x + 10√6

Answer: C) 17

Step-by-step explanation:

Let x be the number of large boxes

As per given,

Number of small boxes= 3 × (number of large boxes)

i.e. Number of small boxes= 3x

Allie is transporting boxes of two sizes: 12 cubic feet and 5 cubic feet.

Total volume = 12  (number of large boxes) + 5(Number of small boxes)

= 12 x+ 5 (3x)

= 12x+15x

= 27x

A moving van’s cargo area has a maximum volume of 480 cubic feet.

[tex]\Rightarrow\ 27x \leq480[/tex]

Divide both sides by 27 , we get

[tex]x\leq17.78[/tex]

i.e. maximum value x can take = 17

So, the maximum number of larger boxes that she can fit in the van = 17.

Hence, the correct option is C) 17 .

Answer:

72 trips

Step-by-step explanation:

Hey there!

Well to find the amount of trips the ferry will need to take we'll do,

2232 ÷ 31 = 72

72 trips

Hope this helps :)

Answer:

72 trips

Step-by-step explanation:

2,232÷31 = 72

Answer:

Age of teacher = 32 years

Step-by-step explanation:

Average age of 15 students = 16 years

Sum of age of 15 students = 16 * 15 = 240 years

Average of age 15 students and a teacher = 17 years

Sum of age  15 students and a teacher = 17 * 16 =  272 years

Age of teacher = 272 - 240 = 32 years

Answer:

Age of teacher = 32 years

Therefore, the correct answer is (b)

Step-by-step explanation:

We know that average is given by

Average age = Sum of ages /no. of students

We are given that the average age of 15 students is 16 years.

16 = Sum of ages/15

Sum of ages = 16×15

Sum of ages = 240

We are given that If teacher’s age is included the average increases by 1.

16 + 1 = New sum of ages/15 + 1

17 = New sum of ages/16

New sum of ages = 17×16

New sum of ages = 272

So the age of the teacher is found by

Age of teacher = New sum of ages - Sum of ages

Age of teacher = 272 - 240

Age of teacher = 32 years

Therefore, the correct answer is (b)

Answer: A y = -(2x+8)

Step-by-step explanation:

The first line is y=-2x-8

Thus, the answer that simplifies to y = -2x-8 is the answer.  

a) y=-(2x+8)

Distribute

y=-2x-8

Because it works, no need to try the others.

Hope it helps <3

Answer:

[tex]\boxed{y = -(2x + 8)}[/tex]

Step-by-step explanation:

For the two lines to have infinite [tex]\infty[/tex] solutions, the two equations must be the same.

First equation : y = -2x - 8

A. y = -(2x + 8)

   y = -2x - 8 correct

B. y = -2(x - 8)

   y = -2x + 16 incorrect

C. y = -2(x - 4)

   y = -2x + 8 incorrect

D. y = -(-2x+8)

    y = 2x - 8 incorrect

y = -2x - 8 and y = -(2x + 8) when graphed are the same, they intersect at infinite points and there are infinite solutions.

Answer:

yes

Step-by-step explanation:

so first you would convert pounds into ounces (It's easier for me)

and there are 16 ounces in one pound so for 3 pounds you would have 48 ounces then add the 15 ounces to get 63 ounces and if she needs twice as much to make a vase she would need 126 ounces for a vase then you would add the other 63 to that to get a total of 189 ounces of clay in order to create the bowl and vase, and in order to find out how many ounces are in a 12 pound bag you would just multiply 12 by 16 to get 192 ounces. So yes she does have enough clay to make a bowl and a vase.

Answer:

Average consumption ( mean )  =  9

MOE = 4

Step-by-step explanation:

We know that

CI   ( 5  ;  13 )

and   CI [ μ - MOE  ;  μ + MOE ]

From the above relations we get

μ - MOE = 5

μ + MOE = 13

Adding member to member these two equations we get

2*μ  =  18

μ = 9    and MOE = 13 - 9

MOE = 4

Answer:

combinations = 10 * 10 * 26

combinations = 2,600

Step-by-step explanation:

Answer:

−67b + 6 ≤ 9b + 43

Group like terms

That's

- 67b - 9b ≤ 43 - 6

Simplify

- 76b ≤ 37

Divide both sides by - 76

Hope this helps you

Answer: There are 19 cats and  38 dogs.

Step-by-step explanation:

Given, A veterinarian clinic, there are twice as many dogs as there cats.

Let x = Number of cats

then, number of dogs = 2x

Since , total number of dogs and cats = 57

So, x+ 2x= 57

[tex]\Rightarrow\ 3x= 57[/tex]

Divide both sides by 3 , we get

[tex]x=\dfrac{57}{3}=19[/tex]

[tex]\Rightarrow\ x= 19[/tex]

Number of cats =19

then, number of dogs  = 2(19) = 38

hence, there are 19 cats and  38 dogs.

Answer: 19 cats and 38 dogs

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

A nice way to remember the normal trig functions and what they stand for is with SOH CAH TOA, where S represents the Sin, C represents the Cos, and T represents tan. Note: those are only abbreviations of the actual words.

I don't know a way to remember the names of the inverse trig functions, but they are Csc, sec, and cot.

Looking at all of the options, only TON does not fit the bill, so that's the answer.

Answer:

A.

Step-by-step explanation:

Anwer A has the following equation:

[tex]g(x)=\frac{3}{5}x^2-3[/tex]

In this equation, we can calculated the intercept replacing x by 0, as:

[tex]g(x)=\frac{3}{5}0^2-3=-3[/tex]

if this is the answer, the graph of g(x) should be through the point (0,-3) and that happens.

Additionally, the roots of the equations are calculated replacing g(x) by 0 and solving for x, so:

[tex]0=\frac{3}{5}x^2-3\\x_1=\sqrt{5}=2.236\\x_2=-\sqrt{5}=-2.236[/tex]

It means that the graph of g(x) should be through the points (2.236,0) and (-2.236,0) and that happens too.

So, the answer is A, [tex]g(x)=\frac{3}{5}x^2-3[/tex]

Hey there!

First, we want to put the equation of this first line in slope-intercept form.

5y=x-5

We divide both sides by 5.

y=1/5x-1.

The slope of a perpendicular is line is the negative reciprocal of the slope of the original line. The slope of a line perpendicular to a line with the equation y=1/2x would be -2, because you flip the numerator and denominator and then make it negative.

So, this means that the slope of the line perpendicular to the line y=1/5x-1 is -5. So, here's our equation so far.

y= -5x+b

Now, we need to find the b. To do this, we can plug in this point (-1,0) that this perpendicular line goes through and solve for b.

0=-5(-1)+b

0=5+b

b= -5

So, this gives us the equation y= -5x-5

Have a wonderful day!

Answer:

A

Step-by-step explanation:

[tex] \frac{ {6}^{3}. {2}^{6} }{ {2}^{3 } } = \frac{ {2}^{3}. {3}^{3}. {2}^{6} } { {2}^{3} } = {2}^{6} . {3}^{3} [/tex]

Answer:

96

Step-by-step explanation:

800*0.12=96

Answer:

96

Step-by-step explanation:

12% of 800 is 96

Answer:

y= 1

Step-by-step explanation:

A circle forms a sphere only when it goes around a straight line throughout the center so y= 1 because it's (1,0).

The y = 1 is the axis around which the circle cross-section needs to be revolve to create a sphere.

It is given that the circle is on a coordinate plane with the centre at 1 on the y-axis.

It is required to find around which line would the following cross-section need to be revolved to create a sphere.

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the centre of a circle).

We have a circle on the coordinate plane the centre of the circle lies on the y-axis at 1.

On y=axis the value of x is zero ie. x= 0

The centre of the circle = (0,1)

If a half-circle revovle around the axis which is dividing the circle into two halves.

As we can see in the graph the y-axis and y=1 divide the circle into two halves.

Thus, the line y = 1 is the axis around which the circle cross-section needs to be revolve to create a sphere.

Learn more about circle here:

brainly.com/question/11833983

Answer:

The airplane can fly up to 240 miles in a hour

Step-by-step explanation:

Cross multiply

(12)(60)=3x

720=3x

Divide 3 on both sides

x=240

There are 60 minutes in 1 hour.

60 ÷ 3 = 20

12 × 20 = 240

In one hour, the airplane could fly at 240 miles.

Answer:

[tex]24200 mm^{2}[/tex]

Step-by-step explanation:

200*50+200*50+70*60

=24200 mm^{2}