Write the equation for the line in slope-intercept form.

Answer:

1:5

Step-by-step explanation:

2:10 = 1:5
Hope it helped !

Answer:

C. AC~= DF, FB~=CB

Step-by-step explanation:

In order use HL theorem you have to have two right triangles, which it's marked that you do. HL stands for Hypotenuse-Leg. So in order to use Hypotenuse-Leg you have to know that the hypotenuses are congruent on the two triangles and also a leg is the same on the two triangles. AC and DF are the two hypotenuse. And FB and CB are legs. You need those two congruent segment pairs in order to use HL theorem.

Answer:

Step-by-step explanation:

Remark

To convert watts to amps, divide the watts by the amps

Givens

720 watts

8 amps (maximum safety of extension chord)

144 conversion factor

Solution

Amps = 720 watts / 144

Amps = 5

Answer

The iron uses 5 amps of current.

The extension chord is safe to use since 5 is less than 8

Answer:

720÷144=5 AMPS

Step-by-step explanation:

5ANSWER

Answer: Heyaa! ~

Your Answer is... (x−7)² ,  Which is B.

Step-by-step explanation:

Factor using the perfect square rule!

Explanation:

A whole number that is the square of an integer. Example:

16 is a perfect square because 4⋅ 4 = 16.

Hopefully this helps you! ^^

Answer:

x^2 - 7x - 7x + 49

x(x - 7) - 7(x - 7)

(x - 7) (x - 7)

(x - 7)^2

Step-by-step explanation:

I guess we only need to read the details of the already shown line (and don't need to calculate it from the scratch).

usually I am looking for points with integer coordinates to elaborate the equation.

I see here

(0, 2)

(3, 4)

(6, 6)

(9, 8)

the line equation is

y = ax + b

a being the slope, which is "y coordinate change / x coordinate change" when going from one point to another.

and b being the y-intercept (the y value when x = 0).

we know b already from the first point (0, 2) : b = 2.

so, for the slope we use e.g. the first 2 points

(0, 2) and (3, 4)

x changes by +3 (from 0 to 3).

y changes by +2 (from 2 to 4).

so, the slope is +2/+3 = 2/3

and the line equation is

y = 2/3 x + 2

or

y = 2x/3 + 2

Answer:

X=5

X=1

Step-by-step explanation:

2−6+5=0x

a = 1

b = -6

c = 5

=−(−6)±(−6)2−4⋅1⋅5√2⋅1

Answer:

216°..........................

Answer:

Below in bold.

Step-by-step explanation:

Total of 10 marbles in the bag.

a) Fraction that are green = 3/10.

b) Fraction that are purple = 7/10

= 100 * 7/10

= 90*7

=  70%

Answer: Option #1: ( -2 , -1 )

Step-by-step explanation:

5(-2) - (-1) = 9

(-2) - (-1) = -1

Answer:

When selecting a sample for a survey, the way you choose your sample: A) may lead to biased results.

Step-by-step explanation:

The way you choose your sample matters a lot in order to help limit the bias in sampling data.

There are four types of random samples: simple, stratified, cluster, and systematic.

There are two types of non-random samples: voluntary response and convenience.

You always want to have a random sample in order to have accurate, non-biased results. Therefore, A) May lead to biased results is the best answer.

Answer:

x=8

Step-by-step explanation:

2x-5 = x+3

2x = x+8

x=8

[tex]\huge{\boxed{\mathfrak\pink{\fcolorbox{pink}{pink}{Answer:-}}}}[/tex]

[tex] \underline{ \boxed{ \sf{✰\: Important \: points:- }}}[/tex]

[tex] \underline{ \boxed{ \sf{✰\: Let's\:Solve}}}[/tex]

[tex] \sf \: ↠x + 3 = 2x - 5 \\ \sf \:↠ arranging \: terms \\\sf \: ↠ - 2x - x - = - 5 - 3 \\ \sf \: ↠- x = - 8 \\\sf \: ↠ x = - ( - 8) \\\sf \: ↠ x = 8[/tex]

★ Hence x= 8

Hope it helps!

The computation of the quotation when Thando wants to build a garage will be $1700.

Your information is incomplete. An overview will be given based on the information. It should be noted that a quotation is given when one wants to construct a building.

Let's assume that the prices include:

Sand = $1000

Machinery work = $200

Building materials = $400

In this case, you simply have to add the values together.

= $1000 + $200 + $400

= $1700

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The pair of fractions 1/4 and 1/3 when evaluated is; 7/12.

From the task content;

On this note, it follows that the common factor between the two fractions is used in evaluation.

This therefore follows that the pair of fractions is; 7/12.

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The coefficient of determination is the square of the correlation coefficient, and the value is 0.0151

The given parameter is:

Correlation coefficient, r = 0.123

Rewrite as:

r = 0.123

Take the square of both sides

r² = 0.123²

Evaluate the square

r² = 0.015129

Approximate

r² = 0.0151

The coefficient of determination is represented by r²

Hence, the coefficient of determination is 0.0151

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Answer:

x = 6

Step-by-step explanation:

Interior angles of a triangle sum to 180°

⇒ (8x + 2)° + 70° + 60° = 180°

⇒ 8x + 132° = 180°

Subtract 132° from both sides:

⇒ 8x + 132° - 132° = 180° - 132°

⇒ 8x = 48°

Divide both sides by 8:

⇒ 8x ÷ 8 = 48° ÷ 8

⇒ x = 6

Therefore, the value of x is 6.

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Apply angle sum property

Answer:

Yes

Property: Scalene

Step-by-step explanation:

ask my friend

Jack Enough

Answer:

17.64 easy math

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Details of the graph of the quadratic equation

0.9947≅1  times you have to fill up the cylindrical beaker before the tank is full.

Volume is defined as the space occupied by any body in the three-Dimenions. All three parameters are required for the volume like length,width and hieght of cube or cubied.

here we have a beaker of cylindrical shape the volume of the shape will be calculated as:

[tex]\rm V=\dfrac{\pi}{4}\times d^2\times l=\dfrac{\pi}{4}\times (4)^2\times 8=100.53\ cubc\ inch[/tex]

We have a volume of rectangular prism = 100 cubic inches

So number of times the beaker fill the fluid will be calculated as:

[tex]=\dfrac { Volume \ of\ Prism}{Volume\ of\ beaker}=\dfrac{100}{100.53}=0.9947[/tex]

hence 0.9947≅1  times you have to fill up the cylindrical beaker before the tank is full.

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Base on the given ratio, it will take the phone 5/6 hours to charge completely

The given parameter can be represented as:

Ratio = Time : Proportion

So, we have:

Ratio = 1/3 : 2/5

To charge fully, we have:

Time : 1 = 1/3 : 2/5

Express as fraction

Time/1 = 1/3/ 2/5

Evaluate

Time = 5/6

Hence, it will take the phone 5/6 hours to charge completely

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Answer: Heyaa! ~

Your Answers are... ±1,±2,±3,±4,±6,±12

Step-by-step explanation:

Find every combination of ± p/q, where p is a factor of the constant and

q is a factor of the leading coefficient.

Hopefully this helps you! ^^

- Matthew

Answer:

V = 4 2/3 units ^3

Step-by-step explanation:

We are given the area of the back rectangle

V = BH where B is the area of the base

V = 3 1/3 * 1 2/5

Rewriting the mixed numbers as improper fractions

V = 10/3 * 7/5

V = 70/15

Simplifying

V = 14/3

Changing back to a mixed number

V = 4 2/3 units ^3

Answer:

Sum of nine values = 225

Step-by-step explanation:

mean=∑[tex](x_{1 } +x_{2} + ...x_{9})/9=25[/tex]

∑ = (25)(9) = 225

Hope this helps

The best representation of the preferences of all the students at her school will be 80 students.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The good maximum sample size is usually around 10% of the population, as long as this does not exceed 1000.

The sample size will be calculated as:-

=   10 % of 800

=  800 x  0.1 = 80 students

Therefore the best representation of the preferences of all the students at her school will be 80 students.

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The number of different strings that can be made from the letters in ORONO using some or all of the letters is 63

Suppose there are n items.

Suppose we have

[tex]i_1, i_2, ..., i_k[/tex]

sized groups of identical items.

Then the permutations of their arrangements is given as

[tex]\dfrac{n!}{i_1! \times i_2! \times ... \times i_k!}[/tex]

We're given the word ORONO.

3 ways: O, R, or N

Subcase: Consists O:

5 ways: OR, RO, ON, NO, OO

Subcase: Doesn't consist O:

2 way: RN, NR

Total permutation under this case = 5+2 = 7

Subcase: Consists 3 'O':

1 way: OOO

Subcase: Consists 2 'O':

6 ways: OOR, ROO, ORO, OON, NOO, ONO

Subcase:  Consists 1 'O':

6 ways: ORN, ONR, RNO, RON, NOR, NRO (or that there are 3 distinct letters to be arranged, which can be done in 3! = 6 ways)

Subcase: Doesn't consist O:

0 ways as only R and N cannot form three letter string.

Total permutation under this case = 1+6+6= 13

Subcase: Consists 3 'O':

So, we've got {O,O,O,R,N}

3 'O's are mandatory, so fourth letter is either R or N:

O, O, O, R can arrange themselves in : [tex]4!/3! = 4 \: \rm ways[/tex] (as total 4 words but 3 are identical)

Similarly, O, O, O, N can arrange themselves in 4 ways,

So when 4 letter string from ORONO consists of 3 'O's, then total 4+4=8 distinct strings can be made.

Subcase: Consists 2 'O':

So, we've got {O,O,R,N}

The total permuations of these 4 letters, of which 2 are identital is:

[tex]\dfrac{4!}{2!} = 12[/tex]

Subcase:  Consists 1 'O':

0 ways: Single 'O' and one-one R and N cannot form four letter string.

Subcase: Doesn't consist O:

0 ways as only R and N cannot form four letter string.

Total permutation under this case = 8+12 = 20

All 5 letters of ORONO would be used.

There are 3 identical objects, so total number of their permutation is:

5!/3! = 20

Thus, from all these cases, we conclude that:

Total permutations of string letters using some or all letters of ORONO is:

3+7+13+20+20 = 63

Thus,  the number of different strings that can be made from the letters in ORONO using some or all of the letters is 63

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Since the price has been increasing by $7 per month, the rate at which revenue is changing when the price is $70 is $24500/month

To answer the question, we need to know what revenue is

This is the total price for the total amount of goods sold.

Revenue, R = px where

So, R = px

= p(77000 - 5p²)

= 77000p - 5p³

To find the rate at which the revenue is increasing with respect to price, we differentiate R with respect to p.

So, dR/dp = d(77000p - 5p³)/dp

= 77000dp/dp - 5dp³/dp

= 77000 - 15p²

Substituing p = 70 into dR/dp, we have

dR/dp = 77000 - 15p²

dR/dp = 77000 - 15(70)²

= 77000 - 15(4900)

= 77000 - 73500

= 3500

The rate at which the revenue is changing per month is

dR/dt = dR/dp × dp/dt where dp/dt = rate at which price is changing = $7 per month.

Now, dR/dt = dR/dp × dp/dt

So, dR/dt = 3500 × $ 7/month

dR/dt = $24500/month

So, the rate at which revenue is changing when the price is $70 is $24500/month

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well, if we take the whole area of the circle, including the trapezoid in it, and then we get the area of the trapezoid and subtract it from that of the circle's, what's leftover is what we did not subtract, namely the shaded area.  Let's notice the circle has a diameter of 20, thus a radius of half that, or 10.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=12\\ b=20\\ h=8 \end{cases}\implies A=\cfrac{8(12+20)}{2}\implies A=128 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\stackrel{circle}{\pi (10)^2}~~ - ~~\stackrel{trapezoid}{128}}\implies 100\pi ~~ - ~~128~~\approx~~186.16[/tex]