Find the gradient of the line segment between the points (0,2) and (2,-8).

Answer:

7x+12

Step-by-step explanation:

5(3x+2) - 2(4x-1)

Distribute

15x + 10 -8x+2

Combine like terms

7x +12

Answer:

a) The equation is y = 6x + 25 since the 25 is the initial fee.

b) We plug in 10 for x. 6 * 10 + 25 = $85.

c) We plug in 7 for x and get 6 * 7 + 25  = $69.

Answer:

see below

Step-by-step explanation:

a) y = 6x + 25  (because the 25 is the initial fee)

b) x = 10, so:  

= 6 * 10 + 25

= $85

c) x = 7, so:

= 6 * 7 + 25  

= $69

Hope this helps!

Answer:

25.12

Step-by-step explanation:

C = 2*3.14*4

C = 8*3.14

C = 25.12

Answer:

C =25.12 cm

Step-by-step explanation:

The circumference is given by

C = 2* pi *r

C = 2 * 3.14 * 4

C =25.12 cm

Answer

[tex]\sqrt[6]{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{2} = \sqrt[6]{8}[/tex]

[tex]\sqrt[3]{2} = \sqrt[6]{4}[/tex]

Answer:

C

Step-by-step explanation:

A<B<D do not make sense

Answer: D. (I, II, and III)

Step-by-step explanation:

having a ticket doesn't necessarily mean you will win the lottery, but you must have a ticket to win

not all numbers divisible by 3 are divisible by 6, but all numbers divisible by 6 are also by 3 (since 3 goes into 6 twice)

if a quadrilateral is a square, it is also a rhombus

Answer:

It is D.

Step-by-step explanation:

If you win the lottery, then you will need a ticket. But, if you have a ticket, it doesn't mean that you'll win the lottery.

If a number is divisible by 3. it is not necessarily divisible by 6. For example, 9 ÷ 3 = 3, but 9 ÷ 6 will not equal a whole number.

All squares are rhombuses, but not all rhombuses are squares (they need to have all interior right angles).

Answer:

y= -29 if domain is -4

y=-6 is domain is -2

y=8 if domain is 0

y=22 if domain is 2

Step-by-step explanation:

Answer:

C = 6pi cm

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

C = 6pi cm

Answer:

So since the ball is at x=0 at the end.

We plug in it.

h(x) = 16 if you simplify it

Answer:

−x+y=8

there you go!

Hope it helps!

Answer:

see below

Step-by-step explanation:

Let's call the width w. The length would then be 2w - 6. Since the area of a rectangle = length * width the answer is 208 = (2w - 6) * w.

Answer:

340

Step-by-step explanation:

No. of  seats in theater 1 = 270

Let the no. of  seats in theater 3 be x

given that

There are 150 more seats in Theater 2 than in Theater 3.

no. of  rooms in theater 2 =  no. of  rooms in theater 3 + 150

                                          x + 150

Total numbers of seats in all the theater = 270+ x + x+150 = 2x + 420

It is also given that total capacity is 800 seat

thus

Total numbers of seats in all the theater = 800

2x+420 = 800

=> 2x = 800 - 420 = 380

=> x = 380/2 = 190

Thus, no of rooms in theater 3 is 190.

No. of rooms in theater 2 is x + 150 = 190 + 150 = 340  ---> Answer

Answer:

zonas urbanas =>  30  % de la poblacion => 700 millones

poblacion total =>  100 % de la poblacion =>   x      =>  2333.3 millones

poblacion rural => 70% de la poblacion => x - 700  => 1633.33 millones

[tex]x = \frac{700 \times100}{30} =2333.3[/tex]

[tex]x-700=2333.3-700=1633.33\\[/tex]

Answer:

Only the second equation is an identity

Step-by-step explanation:

1)

[tex]1+\dfrac{\cos^2\theta}{\cot^2\theta(1-\sin^2\theta)}= \\\\\\1+\dfrac{\cos^2\theta}{\cot^2\theta(\cos^2\theta)}= \\\\\\1+\dfrac{1}{\cot^2 \theta}= \\\\\\1+\tan^2\theta=\sec^2\theta\neq 2\sec^2 \theta[/tex]

This one is not an identity.

2)

[tex]19\cos \theta\left( \dfrac{1}{\cos \theta}-\dfrac{\tan \theta}{\csc \theta} \right)= \\\\\\19\cos \theta \left( \dfrac{1}{\cos \theta}-\dfrac{\sin^2 \theta}{\cos \theta} \right)= \\\\\\19\cos \theta \left( \dfrac{1-\sin^2 \theta}{\cos \theta}\right)= \\\\\\19\cos \theta \left( \dfrac{\cos^2 \theta}{\cos \theta}\right)= \\\\\\19\cos \theta (\cos \theta)= \\\\\\19\cos^2 \theta = 19\cos^2 \theta[/tex]

This one is an identity. Therefore, only the second equation is an identity. Hope this helps!

Answer:

the person above me is right :)

Step-by-step explanation:

Answer:

Given:  P(A ∩ B) = 0, P(B) = 0.9, P(A ∪ B) = 0.9.

We have: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=>  0.9 = P(A) + 0.9 - 0

=> P(A) = 0.9 - 0.9 = 0

Hope this helps!

:)

Answer:

Full drum 80 dollars

one lid missing

earn 10 dollars less

Step-by-step explanation:

We need to find the surface area

SA = 2 pi r^2  + 2 pi rh

The diameter is 2 so the radius = 2/2 =1

SA = 2 * pi * 1^2  + 2 * pi * 1 * 3

      = 2 pi + 6pi

      = 8pi

Using pi = 3.14

SA = 8 *3.14 = 25.12 ft^2

We get 3.18 per ft^2

25.12 * 3.18 =79.88

To the nearest dollar

80 dollars

If one of the lids is missing

SA =  pi r^2  + 2 pi rh

        pi + 6pi

        7 pi

Using pi = 3.14

SA = 7 *3.14 = 21.98 ft^2

We get 3.18 per ft^2

21.98 * 3.18 =69.90

To the nearest dollar

70

The difference is 10 dollars

Answer:

[tex]\Huge \boxed{\mathrm{a) \ \$ \ 80}} \\\\\\\\ \Huge \boxed{\mathrm{b) \ \$ \ 10}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Surface area of the cylinder :

2πr² + 2πrh

The diameter is 2 ft, so the radius is 1 ft.

⇒ 2π(1)² + 2π(1)(3)

⇒ 8π ≈ 25.13

$3.18 is getting payed per square foot.

⇒ 25.13 × 3.18

⇒ 79.9221171073 ≈ 80

If the lid was missing:

πr² + 2πrh

π(1)² + 2π(1)(3)

7π ≈ 21.99

$3.18 is getting payed per square foot.

⇒ 21.99 × 3.18

⇒ 69.9318524689 ≈ 70

The difference :

80 - 70 = 10

$10 less if the lid is missing.

[tex]\rule[225]{225}{2}[/tex]

Answer:

No.

Step-by-step explanation:

It is because a line is said to be perpendicular to another line if the two lines intersect at a right angle or at 90° and the two lines in the graph does not intersect at 90° angle..

mark brianliest if my answer suit your question..

Answer:

y=4x-4

Step-by-step explanation:

Since this line rises 4 units for every 1 it moves to the right, it has a slope of 4/1=4. Also, since it intersects the y axis at the point (0,-4), b=-4.

Therefore, the equation is y=4x-4. Hope this helps!

Answer:

Thinking Process

(i) Firstly, determine the factors of quadratic polynomial by splitting middle term.

(ii) The two different values of zeroes put in bioquadratic polynomial.

(iii) In both the case if remainder is zero, then bioquadratic polynomial is divisible by

quadratic polynomial.

Answer:

2x⁴ - 5x³ + 2x² - x + 2=

2x²(x²-3x+2) +x³-2x² -x +2=

2x²(x²-3x+2) + x(x²-3x+2) +x² -3x +2=

(x²-3x+2)(2x²+x+1)

since x²-3x+2 is the factor of the given polynomial, we can state the polynomial is divisible by x²-3x+2

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

note: x²+3x+2 is not the factor of the given polynomial

Answer:

Step-by-step explanation:

(3,2) (4,5)

-4 on the left number (3 and 4)

-3 on the right number (2,5)

creates:

A'(-1,-1) AND B'(0,2)

Answer:

33

Step-by-step explanation:

djjsjskskskakakkaka

Answer:

Linear Function

Step-by-step explanation:

8x-3y = -2

-3y = 8x-2

3y = -8x+2

y = [tex]\frac{-8x+2}{3}[/tex]

y = [tex]-\frac{8}{3}x+\frac{2}{3}[/tex]

Linear Function

Answer:

This can be done in a total of 10 ways

Step-by-step explanation:

This is a selection problem.

What we are trying to do is to properly select 3 week long camps from the total 5. we are looking for the number of ways in which we can do this.

Now, since this is a selection problem, the proper mathematical term and approach to use is the COMBINATION

Mathematically, having r items to pick from a total n, the number of ways to do this is nCr ways

which is mathematically equivalent to;

n!/(n-r)!r!

now applying this to the problem at hand, what we have is 5C3

= 5!/(5-3)!3! = 5!/2!3! = (5 *4)/2 = 20/2 = 10 ways

Answer:

  a.  0.15%

Step-by-step explanation:

The Z-score of 940 pounds is ...

  (X -µ)/σ = (940 -3550)/870 = -3

The empirical rule tells you that 99.7% of the normal distribution lies within Z = ±3. Half of the remaining 0.3% lies below Z = -3, which is the set of weights of interest.

The probability that a car weighs less than 940 lbs is about 0.15%.

Answer:

5. 48

6. 33

7. -16

8. -7

Step-by-step explanation:

[tex]5. \\8(10-4)=\\80-32=\\48[/tex]

[tex]6.\\(-4+-7)(-3)=\\(-4-7)(-3)=\\(-11)(-3)=\\33[/tex]

[tex]7.\\(-7+3)4=\\-4*4=\\-16[/tex]

[tex]8.\\-1(18-11)=\\-1(7)=\\-7[/tex]

Answer:

The number is 16.

Step-by-step explanation:

3x=32+x

2x=32

x=16

A number that when tripled, gives the same result as when 32 is added to it is 16.

In this exercise, you're required to solve for an unknown number, that when tripled has the same value as when 32 is added to it.

Translating the word problem into an algebraic expression, we have;

Tripling the number, we have:

[tex]3x[/tex]    ....equation 1

Adding 32 to the number, we have:

[tex]32 + x[/tex]   ....equation 2

Equating the two equations, we have:

[tex]3x = 32 + x\\\\3x - x = 32\\\\2x = 32\\\\x = \frac{32}{2}[/tex]

x = 16

Find more information: https://brainly.com/question/4728821

Answer:

Step-by-step explanation:

The subject in a statistical research work usually refer to the participants involved in the experiment which is usually a quantitative research.

The subjects in this study are all the overweight cats including those in the control and treatment groups.

Answer:

x=40

Step-by-step explanation:

The 2 angles are opposite each other. Therefore, they are vertical angles. This means the 2 angles are equal. So, we can set them equal to each other.

120=3x

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

120/3=3x/3

120/3=x

40=x

x is equal to 40.

Answer:

40

Step-by-step explanation:

i had this a while ago

Answer:

[tex] \boxed{3x\degree = 30\degree} [/tex]

Explanation:

Vertically opposite angles are equal.

Answer:

Number of apple = 119

Step-by-step explanation:

Given

[tex]Max_{Apple} = 150[/tex]

Required

Find the actual number of apples;

When counted in any numbers, the number being counted is the divisor;

Take for instance, when counted in pairs, the divisor is 2

When counted in threes,  the divisor is 3

and so on...

So; from the question, we understand that; when the apple is counted in 2s,3s,4s,5s, and 6s; what's left is always one less than the divisor

This means that the number of apple must satisfy the following conditions

The common multiple of 2,3,..6 are 60, 120 ,180,240.....

Recall that, these multiples must satisfy the three conditions above;

1. Less than 150: Only 60 and 120 satisfy condition.

At this point, we'll discard other numbers (180,240,300.....)

2. 1 less than the Common Multiple of 2,3,..,6:

1 less than 60: 60 - 1 = 59

1 less than 120: 120 - 1 = 119

3. Divisible by 7

At this point, we'll divide 59 and 119 by 7 to see if they satisfy this condition;

[tex]\frac{59}{7} = 8.42857142857[/tex]

[tex]\frac{119}{7}=17[/tex]

The results of these division shows that 59 is not divisible by 7;

Hence, the actual number of apple is 119

Number of apple = 119