The slope of the line that passing through (4,-3)and(8,6)

Answer:

n=4

Step-by-step explanation:

get rid of the -8 by dividing 0 by it

then get rid of the abs sign by plus minus 0 which is still 0. then its n-4=0

n=4

The equation which can be used to solve for y, the length of the room according to the task content are;

According to the task content, the equations which can be used to solve for y, the length of the room according to the task content is to be determined.

Since the width of the room is 5 feet less than the length of the room.

Therefore, length = y and width = (y -5).

The area of the rectangle is therefore;

y (y -5) = 750

Therefore, the required equations are; 750 - y(y-5) = 0.

Or; y² - 5y = 750.

Or; (y + 25)(y – 30) = 0.

Therefore, the equation which can be used to solve for y, the length of the room according to the task content are;

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Answer:

9^7  

Step-by-step explanation:

9 to the 7th power

Answer:

8

Step-by-step explanation:

hope i help

Answer:

8 is the gcf

welcome

Answer:k

Step-by-step explanation:

h

Answer:

[tex]\frac{7}{1}[/tex]

Step-by-step explanation:

Answer:

7/1

Step-by-step explanation:

hope this helps♡

Answer:

  N, Y, N, Y, Y

Step-by-step explanation:

Given 5 scenarios, you want to know which of them involves a proportional relationship.

A relation is proportional if the "output" is zero when the "input" is zero, and the rate of change is constant. The graph of a proportional relationship is a straight line through the origin.

Any relation involving a base cost or flat fee will not be a proportional relationship. The graph of such a relation may be a straight line, but it will not go through the origin.

In the given scenarios, the cost of the pizza has an associated base cost. The cost of the bike rental has a flat fee. Neither of these relations are proportional relations.

The others all have a constant rate of change:

These relationships are proportional.

The patient of 92 kg of weight should be given 73.6  µg of prescribed medication every 12 hours .

It is given that a patient is prescribed 0.8 µg per kilogram every 12 hours

Using unitary method , we get

1 kg of body needs = 0.8 µg of medication

92 kg of body needs = 0.8 × 92

                                    = 73.6  µg of medication

Dose required in 12 hours = 73.6  µg of medication

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The number of particles in 12 of a mole is 7.22 × 10^24 particles

Expressions are mathematical statements that are represented by variables, coefficients and operators

The given parameter is

1 mole contains 6.02 × 10^23 particles

Rewrite the above equation properly

So, we have

1 mole = 6.02 × 10^23 particles

Multiply both sides by 12

So, we have

12 x 1 mole = 12 x 6.02 × 10^23 particles

Evaluate the product

So, we have

12 moles = 7.22 × 10^24 particles

Hence, the number of particles in 12 of a mole is 7.22 × 10^24 particles

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Answer: 0.7

Step-by-step explanation:

Let the number of white cows be x

Thus, the number of brown cows be (x+12)

Hence,

x+(x+12)=60

x+x+12=60

2x+12=60

2x+12-12=60-12

2x=48

Divide both parts of the equation by 2:

x=24 white cows

x+12=36 brown cows

The number of white cows are less than one year old:

[tex]\displaystyle\\\frac{3}{4}(24)=\\\\\frac{3(24)}{4}=\\\\ 3*6=\\\\ 18\ white\ cows[/tex]

The number of brown cows are less than one year old:

[tex]\displaystyle\\\frac{2}{3}(36)=\\\\ \frac{2(36)}{3}=\\\\ 2*12=\\\\24 \ brown \ cows[/tex]

The total number of cows are less than one year old:

[tex]18+24=42\ cows[/tex]

Thus

Fraction of all the cows are less than one year old:

[tex]\displaystyle\\\frac{42}{60}=\\\\\frac{6*7}{6*10}=\\\\\frac{7}{10} =\\\\ 0.7[/tex]

The expression that represents “5 more than the difference of 15 and 7 is (15 - 7) + 5 and the value will be 13.

It should be noted that an expression is used to show the relationship that exists between the variables that are illustrated.

In this case, it should be noted that we wat to know the expression that represents “5 more than the difference of 15 and 7.

This will be:

= (15 - 7) + 5

= 13.

Therefore, the expression that represents “5 more than the difference of 15 and 7 is (15 - 7) + 5 and the value will be 13.

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Ans : x = 11

X = - 50 1/2 + 12. 3

X= -50 * .5 + 36

X = - 25 +36

X = 11

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The  statement be rewritten as a conditional statement in if-then form as If a rectangle has 4 congruent sides, then it is a square.

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.

Given:

The conditional statement is  A rectangle with 4 congruent sides is a square.

According to given question we have

The conditional statement is given as A rectangle with 4 congruent sides is a square.

The counterexample must satisfy the hypothesis of the conditional statement.

So, '' If a rectangle has 4 congruent sides, then it is a square.''

Therefore, the  statement be rewritten as a conditional statement in if-then form as If a rectangle has 4 congruent sides, then it is a square.

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Answer: A

Step-by-step explanation:

i took it

Answer:

The unit rate for miles per gallons is 35.6 miles per gallon used by him.  

Step-by-step explanation:

In the given condition he drove 44 and 1/2 miles and used a total of 1 and 1/4 gallons of gasoline.

Now, we have to calculate the number of miles he travelled in each gallon.

So, 44 and 1/2 miles can be written as 44.5 miles.

And 1-1/4 gallons can be written as 1.25 gallons.

Now, we need to form an equation from the above condition;

=> 44.5 = 1.25

=> x = 1 (here, x is the number of miles per gallon)

Now, after cross multiplying the equation;

=> 44.5 × 1 = 1.25 × x

=> 44.5 = 1.25 x

=> 44.5 / 1.25  = x

=> x = 35.6 miles per gallon

Therefore, the unit rate for miles per gallons is 35.6 miles per gallon used by him.  

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Step-by-step explanation:

(20-[6×3])×7

(20-18)×7

2×7=14

The measure of angle FGE from the given figure is 28° when  the measure of arc CDE = 118° and the measure of arc EF = 62°.

The measure of an arc is equal to the measure of its corresponding central angle.

From the given figure, the measure of arc CDE = 118° = corresponding central angle (∠CAE)

So, ∠CAE = 118°

From the given figure, the measure of arc FE = 62° = corresponding central angle (∠FAE)

So, ∠FAE = 62°

As we know the radius of a circle is perpendicular to the tangent.

That is, AE ⊥ EG

So, ∠AEG = 90°

Now, ∠AGE+∠AEG+∠GAE = 180° (The sum of interior angles of a triangle is equal to 180°)

∠AGE + 90° + 62° = 180°

⇒ ∠AGE + 152° = 180°

⇒ ∠AGE = 28°

So, ∠AGE = ∠FGE = 28°

Therefore, the measure of angle FGE from the given figure is 28°.

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The  unit rate for miles per gallon for each car  is 32.4 miles per gallon and 29 miles per gallon which. The car that could travel the greater distance on 1 gallon of gasoline is red car.

Unit rate for blue car:

40 1/2 miles=40.5

1 1/4=1.25

Hence,

Unit rate=40.5 / 1.25

Unit rate=32.4 miles per gallon

Unit rate for red car:

23 1/5=23.2

4/5=0.80

Hence,

Unit rate= 23.2/0.80

Unit rate  =29 miles per gallon

The car that could  travel the greater distance on 1 gallon of gasoline is red car.

Therefore unit rate for miles per gallon for each car  is 32.4 miles per gallon and 29 miles per gallon which. The car that could travel the greater distance on 1 gallon of gasoline is red car.

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The total cost to the company will be $ 6770.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

rental fee = $200

purchase the insurance= $18 per day

According to given question we have

We know that  to purchase the insurance for 1 year.

1 day=  $18

365 days= $18 *365=$ 6570

The total cost to the company will be

=$200+$ 6570

=$ 6770

Therefore, the total cost to the company will be $ 6770.

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Answer:

Step-by-step explanation:

Answer:

El chapo so that your mean

Answer:

C. 8x^2-5x+2=0

Step-by-step explanation:

The answer is Option C because it can only be solved by quadratic formula

Given that the sum of the interior angle of a triangle is 180 degrees, the numerical value of x is 4.

In a polygon, an interior angle is one formed by two consecutive sides: that is, the vertex of an interior angle coincides with the vertex of the polygon.

A triangle is a polygon with three edges and three vertices.The sum of interior angle of a polygon is expressed as;

S = ( n - 2) × 180°

Where n is number of side.

Since a triangle has 3 sides, the sum of interior angle of a triangle will be;

( 3 - 2) × 180° = 1 × 180° = 180°

From the diagram;

Since the sum of interior angle of a triangle is:

180° .35° + 60° + ( 22x - 3 )° = 180°

Solve for x

35 + 60 + 22x - 3 = 180

95 + 22x - 3 = 180

92 + 22x = 180

22x = 180 - 92

22x = 88x = 88/22x = 4

The numerical value of x is 4.

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Use Fleury's Algorithm to find an Euler path through the graph using this new edge by listing the vertices in the order visited is;  G-H-L-K-G-J-I-G

A quick examination of the given graph tells us that two of the seven vertices (G, I) have an odd number of edges while the other five (F, H, J, K, L) have an even number. Since every vertex must have an even number of attached edges for us to possibly construct an Eulerian circuit, our first step is necessary to add an edge connecting G to I.

A somewhat easy way to now construct an Eulerian circuit would be to take our original graph (i.e. without the G-I edge) and find an Eulerian path from D to H, then end by taking our added D-H edge back to D.

The way to find Fleury's Algorithm, is that;

1) Start with classifying the vertices of the given graph as odd and even. If there are 0 or 2 odd vertices, then continue with the algorithm.

2) Begin with any one of the odd vertices, if they exist, otherwise arbitrarily choose a vertex as the starting point.

3) Travel every edge exactly once such that the bridges in the graph are travelled at the end.

4) Stop when all the edges are travelled.

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Using an exponential function, it is found that 48 new seniors will know the winner of the homecoming king election on the fourth day.

For this problem, we have that:

An exponential function is modeled as follows:

[tex]y = ab^x[/tex]

In which:

For this problem, the parameters are given as follows:

Hence the number of seniors that know the result on day x is given by:

[tex]y(x) = 3(2)^x[/tex]

On day 4, the amount is:

y = 3 x 2^4 = 3 x 16 = 48.

48 new seniors will know the winner of the homecoming king election on the fourth day.

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Answer:

The median is usually preferred in these situations because the value of the mean can be distorted by the outliers.

Step-by-step explanation:

Answer:

If there is an outlier you should report the median. This is because the value of a mean can be distorted by the outliers. So, you can use the median when the distribution is not symmetrical.  

Step-by-step explanation:

The area of the cross-section formed by the intersection of the plane and the cone is 7.067 inch square .

A cone is a three-dimensional shape that has a circular base and it narrows down to a sharp point called a vertex.

Given:

The radius of the base= 3 inches.

height  =20 inches

According to given question we have

Since the plane intersects the cone at the midpoint between the vertex A and point B,

The radius of that circle formed from the intersection=1.5 inches.

The area is

A=π[tex]r^{2}[/tex]

A=π[tex](1.5)^{2}[/tex]

A=7.067 inch square

Therefore, the area of the cross-section formed by the intersection of the plane and the cone is 7.067 inch square .

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The option is missing

a) 4.71 inch square

b) 7.07 inch square

c)9.42 inch square

d) 13.24 inch square

The slope intercept form is given as  y = 2x + 6

The general expression for slope intercept form is given as:

                   y = mx + c

where, m = slope

             c = intercept

The formula for slope intercept form when we have been given the coordinates of a point and slope is given as :

           [tex](y-y_{1}) = m(x-x_{1})[/tex]      (1)

where ([tex]x_{1} , y_{1})[/tex] = the coordinates of a point

               m = slope of the line

putting the required values in equation (1) we get

            (y - 4) = 2(x- (-1))

            (y - 4) = 2(x+1)   [As (-)*(-) = +]

             y - 4 = 2x + 2

              y = 2x + 2 + 4

              y = 2x + 6

Thus the slope intercept form is y = 2x + 6

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The quotient of the division (4d² + 2d - 3) ÷ (d - 7) is 4d + 30 and remainder is 207.

Dividing one polynomial by the other is very similar to dividing one number by the other.

The steps for dividing polynomials using long method are as follows:

For the given question;

Dividend  = 4d² + 2d - 3

Divisor = d - 7

Divide dividend by divisor.

= ( 4d² + 2d - 3)/(d -3)

The quotient will come as 4d + 30.

Remainder = 207.

Thus,  4d² + 2d - 3 is not completed divisible by d - 3.

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Answer:15620, 15491, 15096, 15076

Step-by-step explanation:

Answer:

1. 325

2. 130

3. 325 - 130 = 195

4. 195

Step-by-step explanation:

Find the original price

Get the discount percentage

Calculate the savings

Subtract the savings from the original price to get the sale price

and You're all set!