Simplify. 5 2+20
5
30
45
72
(The 5 2 is an exponent.)

Answer:

Ruth needs 5quarts of oil, she has 2quarts in one bottle and 1 quart in another.

therefore:

2+1=3

5-3=2

Ruth needs 2 more quarts.

Answer:

Step-by-step explanation:

( 3x )° + ( 2x - 15 )° + 45° = 180°

5x + 30 = 180

5x = 150

x = 30

45° , 90° , 45°

The function of the brand new smartphone is an exponential function

The function that models the value of the phone x years after its puchase is f(x) = 1200(0.867)^x

The given parameters are:

Initial value (a) = $1200

Rate (r) = 13.3%

An exponential function that represents a decrement in value is illustrated using:

[tex]f(x) = a(1 - r)^x[/tex]

Substitute known values

[tex]f(x) = 1200(1 - 13.3\%)^x[/tex]

Evaluate the difference

[tex]f(x) = 1200(0.867)^x[/tex]

Hence, the function that models the value of the phone x years after its puchase is f(x) = 1200(0.867)^x

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Given :

Maximum speed limit, s = 80 km/hr

Elena's mom is driving at u = 75 mph.

The police officer explains that 8 kilometres is approximately 5 miles.

To Find :

Was she speeding and by how many km/hr.

Solution :

It is given that 8 km = 5 miles

So,

[tex]1\ miles=\dfrac{8}{5}\ km\\\\1\ miles = 1.6\ km[/tex]

Now, Speed of Elena's mom in km/hr is :

[tex]Speed =\dfrac{75\ miles\times\dfrac{1.6\ km}{1\ miles} }{1 \ hour}\\\\Speed = \dfrac{120\ km}{1 \ hour}\\\\Speed = 120\ km/hour[/tex]

Yes, she is over speeding and by ( 120 - 80 ) = 40 km/hr.

Hence, this is the required solution.

Elena's mom was driving at 120 km per hour, with which she was effectively speeding, exceeding the allowed speed by 40 km per hour.

To determine if Elena's mom was speeding and to determine how many kilometers per hour was she over the speed limit of 80kph the following calculation should be performed:

Therefore, Elena's mom was driving at 120 km per hour, with which she was effectively speeding, exceeding the allowed speed by 40 km per hour.

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Answer:

75%

Step-by-step explanation:

Change in price =7-4 (new-original)

Percent is (change/orginal) 3/4

.75x100=75%

Answer:75% increase

Step-by-step explanation:

Answer:

18,000$ per pitch

Step-by-step explanation:

You divide 36,000,000 by 2,000 and there's your answer.

Answer:

y = 3x + 1

Step-by-step explanation:

Answer:

7m + 7n or 7(m + n)

Answer:

x=-3 and 2x-3y=-12

Step-by-step explanation:

The solution to lines 1 and 2 is (-3, 2)

The only lines that intersect that point are x=-3 and 2x-3y=-12

Answer:1 inch = 42 miles

Step-by-step explanation:

A soccer coach plans to order more shirts for her team so Each shirt costs $9.85 and She has $77 left in her uniform budget. The possible number of shirts she can buy is  7 shirts.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that A soccer coach plans to order more shirts for her team. Each shirt costs $9.85 and She has $77 left in her uniform budget. WE need to find the possible number of shirts she can buy.

Therefore,

77/9.85 = 7.88888

We an’t have part of a shirt so, she can buy 7 shirts.

Hence,  A soccer coach plans to order more shirts for her team so Each shirt costs $9.85 and She has $77 left in her uniform budget. The possible number of shirts she can buy is  7 shirts.

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#SPJ2

Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first bolt he buys has length 3/4 in plus 1/8 in, which comes out to

6/8 + 1/8 inch, or 7/8 inch.

The second bolt length cannot be determined using the information given:  "3/4 - inch shorter."  Ensure that you have copied down this probjem completely and accurately.

Answer:

$5.55

Step-by-step explanation:

Given the following question:

We are given 4 dollars, 5 quarters, 4 nickels, and 1 penny.

[tex]1d=1d[/tex]
[tex]4=4[/tex]

[tex]1q=0.25[/tex]
[tex]0.25\times5=1.25[/tex]
[tex]5q=1.25[/tex]

[tex]1n=0.5[/tex]
[tex]0.5\times4n=0.20[/tex]
[tex]4n=0.20[/tex]

[tex]1p=0.1[/tex]

[tex]4+1.25+0.20+0.1=5.55[/tex]
[tex]=5.55[/tex]

The money together in total is worth "$5.55."

Hope this helps.

x² + 12x + 27 ≥ 0 ?

french reasoning

it is necessary to factorize therefore to seek the roots of the polynomial

Δ = 12² - 4*1*27 = 144 - 108 = 36 = 6²

x' = (-12 + 6)/2 = -3

x'' = (-12 - 6)/2 = -9

so x² + 12x + 27 = (x + 3) (x + 9)

x              - inf              -9              -3            + inf

x+3                      -               -        0       +

x+9                     -        0      +                +

( ) ( )                    +       0       -       0       +

x² + 12x + 27 ≥ 0  on ] -inf ; - 9 ] U [- 3 ; + inf [

on a graph

XXXXXXXXXX - 9.............-3 XXXXXXXXX

The y-intercept is (0,2)

The slope is -5/2.

                [tex]\frac{y2-y1}{x2-x1}=\frac{-3-2}{2-0}=\frac{-5}{2} =-\frac{5}{2}[/tex]

Hope that helps!

Answer:

y- intercept is (0, 2)

Slope is -5/2

Answer:

48ft²

Step-by-step explanation:

I am not sure, but thinking it as a rectangle,

area of rectangle= l×b=6×8=48ft²

Answer:

Which substance dissolves in water?

Step-by-step explanation:

The student adds the same amount of substance of different types i.e., 10 grams to each beaker and the same amount of water i.e., 100 mL to each beaker. All of them are stirred and observations are taken down at the end of thirty minutes.

That is all that is mentioned in the question. The student is most likely measuring which substance dissolves in water. As all the other variables are kept constant.

So, the student here is most likely trying to answer the question "Which substance dissolves in water?"

GiRL i got u period go subscribe to my utube and follow my ing at iiam.sneek

Answer:

I think it is the second option

Step-by-step explanation:

Answer:

b = [tex]\frac{c}{a}\\[/tex]

Step-by-step explanation:

divide both sides by a

OR

bring the a over to the other side and put it under the c as the opposite of times is divide

Answer:

what do u want to talk about

Step-by-step explanation:

Answer:

(-2, 1)

Step-by-step explanation:

The 4th point must be vertically above (-2, -4) and horizontally to the left of (3, 1).

Its coordinates are (-2, 1).

Answer:

Triangle ABC is similar to triangle EDC because Measure of angle 3 equals measure of angle 4 and Measure of angle 1 equals measure of angle 5

Step-by-step explanation:

Answer:

D)     Triangle ABC is similar to triangle EDC , because m∠6 = m∠2 and m∠3 = m∠4

Step-by-step explanation:

trust me on this one ;)

Answer:

blank one: greater than blank two: less than

Step-by-step explanation:

Answer:

y=2x+2

Step-by-step explanation:

the equation for slope intercept form is y=mx+b where b is the y intercept and m is the slope. From the graph we can see that where x is 0 y is 2 which makes 2 be the y intercept, and when x is 1 y is 4 which then you replace y for 4 and x for 1 which would be 4=m(1)+2,now u subtract 2 from both sides which leaves you with 2=m(1) and m times 1 is m so now your left with 2=m which means the slop is 2

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{ (x+3)^2}{9} + \frac{ (y-2)^2}{4} =1[/tex]

-step explanation:

The standard form of the given equation was reduced, representing an ellipse.

The given equation is:

[tex]4x^{2} +9y^{2} +24x-36y+36=0[/tex]

An equation is a statement that equates to two expressions.

We know the above equation represents an ellipse.

Rearranging the given equation

[tex]4x^{2} +24x+9y^{2} -36y+36=0[/tex]

[tex]4(x^2+6x)+9(y^{2} -4y)+36=0[/tex]

[tex]4(x^2+6x+9)+9(y^{2} -4y+4)=36[/tex]

[tex]4(x+3)^2+9(y-2)^2=36[/tex]

[tex]\frac{4(x+3)^2}{36}+\frac{9(y-2)^2}{36} =1[/tex]

[tex]\frac{(x+3)^2}{9}+\frac{(y-2)^2}{4} =1[/tex], which is the standard form of the given equation.

Hence, the standard form of the given equation was reduced.

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