which of the following is the simplified form of the expression 12z-4y+16z-8y

-28z+12y


28z-12y

-28z-12y

28z+12y​

Answer:

2°

Step-by-step explanation:

Since, angles A and B are complementary.

Therefore,

[tex] m\angle A + m\angle B = 90\degree \\\\

(4x +40)\degree + (x-10)\degree = 90\degree \\\\

(4x+x +40-10)\degree = 90\degree \\\\

(5x +30)\degree = 90\degree \\\\

5x + 30= 90\\\\

5x = 90 - 30\\\\

5x = 60\\\\

x = \frac{60}{5}\\\\

x = 12\\\\

m\angle B = (x-10)\degree \\\\

m\angle B = (112-10)\degree \\\\

m\angle B = 2\degree \\\\[/tex]

Answer:

112

the answer is 112 :)))))

Answer:

Using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]

Step-by-step explanation:

We need to used distributive property to solve (x+12)8

The distributive property of multiplication or addition states that: [tex]a(b+c)=ab+ac[/tex]

Using the property:

[tex](x+12)8\\=8x+8*12\\=8x+96[/tex]

So, using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]

Answer:

a) The function is: f(x, y) = x + y.

The constraint is: x*y = 196.

Remember that we must write the constraint as:

g(x, y) = x*y - 196 = 0

Then we have:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y,  λ) = x + y +  λ*(x*y - 196)

Now, let's compute the partial derivations, those must be zero.

dL/dx =  λ*y + 1

dL/dy =  λ*x + 1

dL/dλ = (x*y - 196)

Those must be equal to zero, then we have a system of equations:

λ*y + 1 = 0

λ*x + 1 = 0

(x*y - 196) = 0

Let's solve this, in the first equation we can isolate  λ to get:

λ = -1/y

Now we can replace this in the second equation and get;

-x/y + 1 = 0

Now let's isolate x.

x = y

Now we can replace this in the last equation, and we will get:

(x*x - 196) = 0

x^2 = 196

x = √196 = 14

then the minimum will be:

x + y = x + x = 14 + 14 = 28.

b) Now we have:

f(x) = x*y

g(x) = x + y - 196

Let's do the same as before:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y, λ) = x*y +  λ*(x + y - 196)

Now let's do the derivations:

dL/dx = y + λ

dL/dy = x + λ

dL/dλ = x + y - 196

Now we have the system of equations:

y + λ = 0

x + λ = 0

x + y - 196 = 0

To solve it, we can isolate lambda in the first equation to get:

λ = -y

Now we can replace this in the second equation:

x - y = 0

Now we can isolate x:

x = y

now we can replace that in the last equation

y + y - 196 = 0

2*y - 196 = 0

2*y = 196

y = 196/2 = 98

The maximum will be:

x*y = y*y = 98*98 = 9,604

Answer:

1. 4

2. 20

3. 80

Step-by-step explanation:

Answer:

Quadratic

Step-by-step explanation:

It looks like it’s forming a very wide arch so quadratic formulas are arches

The equation of the regression line model for the data plot determines a quadratic equation

The connection between the independent (x) and dependent (y) variables in the graph can be graphically represented using regression lines.

In a linear model, the terms are added rather than multiplied, divided, or provided as a non-algebraic function, as has been the case thus far in this section. Analysis of experimental, monetary, and biological data as well as complex system prediction are both possible using linear modelling.

A statistical technique used to build a linear model is called linear regression. The model explains how one or more independent variables Xi relate to a dependent variable y (also known as the response) (called the predictors). The distance between each data point and the regression line is called a residual.

Given data ,

Let the linear regression line be represented as A

Now , the value of A is

Let the first coordinate on the graph be P ( 1 , 5.5 )

Let the second coordinate on the graph be Q ( 2 , 6 )

And , the data plots on the graph represents a curve or parabolic equation

So , it is a quadratic equation

Hence , the data plot of the regression line is quadratic

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Answer:

Um so then what is the question???

Step-by-step explanation:

Answer:

`She grew 5.75?

Step-by-step explanation:

I don't really know what the full question is, but if I saw that in a test and nothing else than I would put what the answer says lol

ANSWER:

distance when starting her walk/ when time is 0

Step-by-step explanation:

y axis will be distance and x intercept is the point where y is 0

so represents when distance is 0.

Answer:

the time it takes to walk from her house to school

Step-by-step explanation:

Answer:

Step-by-step explanation:

hi

Answer:

B

Step-by-step explanation:

m=5

b=0

y=5x+0

trust me

Answer:

all should be correct but the last one is -7

Step-by-step explanation:

Answer:

3,0,-7

Step-by-step explanation:

The opposite of -3 would be 3, simply switch the signs.

The opposite of 0 would be 0, because 0 simply has no opposites.

The opposite of 7 would be -7, just switch the signs again.

Answer:

(C / n) + 2

Step-by-step explanation:

Amount spent (C) = 42

Number of friends (n) = 6

Coupon on ticket = $2

Original price of ticket will be :

Cost per coupon ticket = (Total amount spent / number of friends)

(Total amount spent / number of friends) + coupon on ticket

= (C / n) + 2

= (42 /6) + 2

= 7 + 2

= 9

Answer:

y^3/4x

Step-by-step explanation:

Answer:

1. x>-1

2. x<4

3. x<-1

4. x>-2

5. x<-3

6. x<7

Step-by-step explanation:

1. 2x>-2  Divide both sides by 2.

  /2   /2

x>-1

2. 4x<16  Divide both sides by 4.

   /4   /4

x<4

3. x+4<3 Subtract both sides by 4.

      -4  -4

x<-1

4. 5x>-10  Divide both sides by 5.

  /5     /5

x>-2

5. 3x<-9   Divide both sides by 3.

   /3   /3

x<-3

6. x-4<3  Add 4 to both sides.

    +4 +4

x<7

Hope this helps you out...next time, try to figure it out yourself without asking a lot of questions. By looking at one example, you can probably apply what to do for the other inequalities.

Answer:

x=10

Step-by-step explanation:

since there are 3 zeroes in 1,000

x is 10

because 10^3=1000

Answer:

10

Step-by-step explanation:

Answer: x = 16

Step-by-step explanation: The y values keep going up by multiplying 2. 2x2=4, 4x2=8, so 8x2=16.

To plot the points just put the point coordinated with the x values and y values.

x = 307. Hope that helped :)

Answer:

The average speed of the car is 90 km/h

Step-by-step explanation:

The rule of the distance id D = v × t, where

∵ A car can travel 450 km in the same time it takes a train to travel

   350 km

→ That means the time of them are equals

∴ Time of the car = Time of the train

→ From the rule above t = [tex]\frac{D}{v}[/tex]

∵ D(car) = 450 km and D(train) = 350 km

∵ The car's average speed is 20 km/h faster than the average speed

   of the train

→ Assume that the average speed of the train is x km/h

∴ v(train) = x km/h and v(car) = (x + 20) km/h

→ Use the rule of the time above to find the time of each one

∵ t(car) = [tex]\frac{450}{(x+20)}[/tex]

∵ t(train) = [tex]\frac{350}{x}[/tex]

∵ t(car) = t(train)

∴ [tex]\frac{450}{(x+20)}[/tex] =  [tex]\frac{350}{x}[/tex]

→ By using cross multiplication

∵ 450 × x = 350 × (x + 20)

∴ 450x = 350(x) + 350(20)

∴ 450x = 350x + 7000

→ Subtract 350x from both sides

∴ 100x = 7000

→ Divide both sides by 100 to find x

∴ x = 70

∵ x represents the average speed of the train

∴ The average speed of the train = 70 km/h

∵ The average speed of the car = x + 20

∴ The average speed of the car = 70 + 20

∴ The average speed of the car = 90 km/h

Answer and step-by-step explanation:

cos = adj/hyp (in a right triangle)

cos0 = 3/5

adj = 3

hyp = 5

opp = sqrt( 5^2 - 3^2) = sqrt( 25-9) = sqrt(16) = 4 (Pythogorean theorem)

tan0 = opp/adj = 4/3

Answer:

[tex]\boxed {\boxed {\sf tan( \theta)=4/3}}[/tex]

Step-by-step explanation:

Cosine is equal to adjacent over hypotenuse.

We are given: cosθ=3/5

We want to find tanθ. Tangent is equal to opposite over adjacent.

We need to find the other leg of the triangle, which is the "opposite". Use Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

The hypotenuse (c) is 5.

[tex]a^2+b^2=5^2[/tex]

One leg (a) is 3, the other (b) is unknown.

[tex]3^2+b^2=5^2[/tex]

Evaluate all the exponents.

[tex]9+b^2=25[/tex]

Subtract 9 from both sides of the equation.

[tex]9-9+b^2=25-9[/tex]

[tex]b^2=16[/tex]

Take the square root of both sides.

[tex]\sqrt{b^2} =\sqrt{16}[/tex]

[tex]b=4[/tex]

Now we know the "opposite" is 4. We can find the tangent now.

[tex]tan(x)=opposite/adjacent[/tex] (opposite=4, adjacent=3)

[tex]tan( \theta)=4/3[/tex]

The tangent of theta is 4/3

Answer:

1.7

Step-by-step explanation:

2.5÷1.5

5/3

1.66666

1.7

The divisions of 2.5 divided by 1.5 gives to 5/3 or 1.6667.

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2.5 divided by 1.5

So, 2.5 / 1.5

= 25 x 10 / 15 x 10

= 25/15

= 5 x 5 / 5 x 3

= 5/3

Hence, the divisions results to 5/3 or 1.6667

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Answer:its 60

Step-by-step explanation:

look at g and put the number thats there on g

Answer:

9 boys 9 girls

Step-by-step explanation:

18 = 2x

9

Answer:

If you're taking the AP Statistics test, you'll need to know the general formula for a standardized test statistic. Standardized test statistics are used in hypothesis testing. The general formula formula is: Standardized test statistic: (statistic-parameter)/(standard deviation of the statistic).

Step-by-step explanation:

Answer:

Standardized test statistics are used in hypothesis testing. The general formula formula is: Standardized test statistic: (statistic-parameter)/(standard deviation of the statistic).

Answer: 13

Step-by-step explanation:

Answer:

$40.23

Step-by-step explanation:

Answer:

40.23

Step-by-step explanation:

easy just do 13.5*2.98

Answer:

-2

or

-2/1

Explanation:

**Slope = rise/run**

By counting the distance between the points, from (0,3) to (1,1) , it went down 2 units and right by 1 unit

Answer:

m= -2

Step-by-step explanation:

Pick two points and subtract the y coordinates, then subtract the x coordinates, (0,3) and (1,1)  or (1,1) and (2,-1)

[tex]m = \frac{y_{2_ } - y_{1} }{x_{2} -x_{1} } = \frac{1-3}{1-0} = \frac{-2}{1} = -2[/tex]      [tex]\frac{-1-1}{2-1} = \frac{-2}{1} = -2[/tex]

Answer:

90°

Step-by-step explanation:

angle on a straight line=180 and half of 180=90°

Answer:

67.5°

Step-by-step explanation:

You know the long hand would be at number 9 and you also know that from the number 6 to 9 it would be 90°. Between each number, there are also 5 smaller marks on the clock. Thus, for 90°, there would be 5×3=15 smaller marks. (I used 3 because between 6 and 9 there are 3 big numbers)

Now here's the trickier part: There are 60 minutes within 5 small marks. We can find out at which mark does the shorter hand move to at 45 minutes.

[tex]\frac{45}{60}[/tex]×5 = 3.75

Out of the 15 smaller marks of 90°, the 45th minute stands at 3.75. The angle of 3.75 would then be between the 15th mark and the 3.75th mark. The gap would be 15-3.75 = 11.25 marks.

[tex]\frac{11.25}{15}[/tex] ×90° = 67.5°

You can refer to the picture for better visualisation of the clock. Hope this helps.