Find the value of M Angle 3 - M Angle 1.

Answer:

-4-5

Step-by-step explanation:

The temp was at -4 and if it dropped that means you subtract another 5 from it which is -4-5

Answer:

The correct answer is -4 - 5.

Step-by-step explanation:

The original temperature is -4 degrees.  Then, the temperature falls by 5 degrees.  The temperature "falling" means that it is getting colder or that the temperature is getting lower.  This lets us know that we need to use subtraction.  The final answer is -4 - 5, which would give us the temperature of -9 degrees as the new temperature.

Hope this helps!

Answer:

Step-by-step explanation:

h(2)= 2

g(2)= 3(2) + 2 = 6 + 2 = 8

f(8)= 2(8) - 1 = 16 - 1 = 15

Answer:

27

Step-by-step explanation:

Set up the composite result function.

F(G(H(x)))

Evaluate F(G(H(x))) by substituting in the value of H into G.

Multiply 3 by x^2

F(G(x2))=F(3x2+2)

Evaluate F(G(x)) by substituting in the value of G into F

F(3x2+2)=2(3x2+2)-1

Simplify each term.

Apply the distributive property.

F(3x2+2)=2(3x2)+2⋅2-1

Multiply 3 by 2

F(3x2+2)=6x2+2⋅2-1

Multiply 2 by 2

F(3x2+2)=6x2+4-1

Subtract 1 from 4

F(3x2+2)=6x2+3

Evaluate the result function by replacing x with 2 in the function.

6(2)2+3

Simplify the evaluated function.

Simplify each term.

Raise 2 to the power of 2

6⋅4+3

Multiply 6 by 4

24+3

27

Answer:

My friend Cody can eat a sandwich swiftlier  than any human or animal I have ever seen.

Answer:

x+14.

Step-by-step explanation:

Sum of a number and 14 is x+14.

Answer:

$240

Step-by-step explanation:

If she earns 60% commission, that means she only earns 60% of all sales. So if you take that 60% or (.60) you can multiply that 400 by .60, that equates to 240.

Answer:

small: 40:15    large: 120:45    all: 160:60

Step-by-step explanation:

the way i did this was

40÷8=5 i did this because we now need to multiply 5×3=15 because thats how we get the number of trash cans.

now do the same thing for the other one

120÷8=15 → 15×3=45

an easy way to check ur answers is to divide the ratio that is given to you (8:3 so 8÷3) and see if it gets the same number as ur new ratio (40:15 so 40÷15)

Im in 8th grade and I hoped this helped :)

Answer:

Below.

Step-by-step explanation:

The initial factors do not affect the prime factorisation.

Continuing the factorisation will lead to the same result whichever initial factors you choose.

    48  

 4   *   12

2*2  *  2*2*3

= 2*2*2*2*3

      48

  6  *    8

2*3  *  2*2*2

= 2*2*2*2*3.

Answer:

A prime factorization is the product of the prime numbers that multiply to give the original number. 48 will have a prime factorization of 2(2)(2)(2)(3), or 24(3), regardless of the initial factors.

Step-by-step explanation:

It is correct!

Answer:

  -6, -1, 4, 9

Step-by-step explanation:

You can substitute the values and do the arithmetic:

  f(-1) = 5(-1) -1 = -5 -1 = -6

Or, you can recognize that the output values will increase by 5 for each increase of 1 in the input value.

  f(0) = -6 +5 = -1

  f(1) = -1 +5 = 4

  f(2) = 4 +5 = 9

The (input, output) pairs are ...

  (-1, -6), (0, -1), (1, 4), (2, 9)

Answer:

∠4 and ∠3

∠4 and ∠5

∠3 and ∠6

Step-by-step explanation:

A pair of angles is said to be supplementary when the 2 angles add up to give 180°.

Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.

Thus, since m< 3 is given as 90°, m<4 = 90°.

m<4 + m<3 = 180°.

Therefore, <4 and <3 are supplementary.

<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.

Answer:

- False

- True

- false

Step-by-step explanation:

- The variable that changes is the price

- 30 is the slope and 6 is the y-int

- 30(.75) + 6 = 28.5

Complete question :

A candy bar manufacturer is interested in trying to estimate how sales are influenced by the price of their product. To do this, the company randomly chooses 6 small cities and offers the candy bar at different prices. Using candy bar sales as the dependent variable, the company will conduct a simple linear regression on the data below:

City - - - - - Price ($) -- - Sales

River City - - 1.30 - - - - - - 100

Hudson - - - 1.60 - - - - - 90

Ellsworth - - - 1.80 - - - - - 90

Prescott - - - - 2.00 - - - - 40

Rock Elm - - 2.40 - - 38

Stillwater - - 2.90 - - 32

Answer:

78.39%

Step-by-step explanation:

what is the percentage of the total variation in candy bar sales explained by the regression model?

The question could be interpreted as meaning the percentage of the total variation in the dependent variable (candy bar sales) which can be explained by the regression model. Hence the independent variable is price. This variance can be known by calculating the Coefficient of determination (R^2) value of the regression model.

To save computation time, the R^2 value can be obtained using an online Coefficient of determination calculator.

To obtain the R^2 value, the values of the dependent and independent variables are entered. The R^2 value obtained is : 0.7839

Therefore the total proportion of variance in candy bar sales explained by the regression model is 0.7839 which is equivalent to:

(0.7839 * 100) = 78.39%

Answer:

let, one number be x

then, other number be x-3

X+X-3=15

or, 2X=15+3

or,2X=18

or,X=18÷2

or,X=9

one number =9

then another number=X-3=9-3=6

The system of equations with two numbers x ad y are,

⇒ [tex]x + y = 15[/tex]

⇒ [tex]x = y - 3[/tex]

Given that,

The sum of two numbers is fifteen.

And, One number is three less than the other.

Let us assume that,

Two variables for the numbers in the system of equations are x and y.

Hence, we can write the system of equations as,

The sum of two numbers is fifteen.

⇒ [tex]x + y = 15[/tex]

And, One number is three less than the other.

⇒ [tex]x = y - 3[/tex]

So, the system of equations is,

⇒ [tex]x + y = 15[/tex]

⇒ [tex]x = y - 3[/tex]

Learn more about systems of equations at:

brainly.com/question/14323743

#SPJ4

Answer:

  a[n] = a[n-1] +(3n +2)

Step-by-step explanation:

The difference between Day 1 and Day 2 is 9 - 1 = 8 cells. The difference between a2 and a1 in each of the answer choices is a2 -a1 = ...

  3n = 3(2) = 6 ≠ 8

  n+2 = 2+2 = 4 ≠ 8

  3(n+2) = 3(2+2) = 12 ≠ 8

  3n +2 = 3(2) +2 = 8 . . . . . . this is the appropriate choice:

  [tex]\boxed{a_n=a_{n-1}+(3n+2)}[/tex]

Answer:

Area= 247 feet²

Volume= 1235 feet³

Step-by-step explanation:

A storage pod has a rectangular floor that measures 19 feet by 13 feet and a flat ceiling that is 5 feet above the floor.

Area of the floor= length*width

Length= 19 feet

Width= 13 feet

Area= 19*13

Area= 247 feet²

Volume of the pod= area*height

Height of the pod= 5 feet

Area= 247 feet²

volume= 247*5

Volume= 1235 feet³

Answer/Step-by-step explanation:

In mathematics, there's an order to follow in solving calculations like the problems given above. The acronym, PEDMAS illustrates or makes us remember which order to follow. The acronym stands for:

P - Parenthesis. Given any problem to solve, first, solve any operation within a parenthesis. That is, expressions that are grouped together.

E - Exponents. Next in line of priority order is to solve expressions involving exponents.

D - Division

M - Multiplication

A - Addition, and

S - Subtraction.

Now, solve each expression given in the correct order of operation using PEDMAS:

10 - 3³ ÷ 9

10 - 27 ÷ 9

10 - 3

= 7 (the order of operation is EDS = Exponent, Division, and lastly, Subtraction)

7² ÷ (4 + 3)

7² ÷ 7

49 ÷ 7

= 7 (order of operation = PED)

7 × 5 - 2²

7 × 5 - 4

35 - 4

= 31 (EMS)

(6 + 2²) × 10

(6 + 4) × 10

10 × 10

= 100 (PM)

3 × 6 + 8²

3 × 6 + 64

18 + 64

= 82 (EMA)

4³ - 10 ÷ 5

64 - 10 ÷ 5

64 - 2

= 32 (EDS)

3² × 2 - 9

9 × 2 - 9

18 - 9

= 9 (EMS)

9 × 3² - 8

9 × 9 - 8

81 - 8

= 73 (EMS)

6² ÷ 3 - 5

36 ÷ 3 - 5

12 - 5

= 7 (EDS)

(9 - 5)² ÷ 4

(4)² ÷ 4

16 ÷ 4

= 4 (PED)

Answer:

(x, y) → (x + 6, y + 13)

Step-by-step explanation:

Let's use one of the points to determine the transition:

Transition:

So the rule is:

Answer:

up 13 , right 6

Step-by-step explanation:

up 13 , right 6

E(-8,-3)

right 6 for x : -8+6=-2

up 14 for y : -3+13=10

E'(-2,10)

for D : (-5,-7)

right 6 : -5+6=1

up 13 : -7+13=6

D'(1,6)  and E'(-2,10)

Answer:

≈0.76

Step-by-step explanation:

P(A) = 0.33

P(A and B) = 0.25

P(B) = ?

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

Probability of two events happening is the product of individual probabilities

Then to find the probability of one of the events:

Answer:

y = 39

Step-by-step explanation:

|y−43|−|y−35| =0

add |y−35| to each side

|y−43|= |y−35|

This tells us that y must be between 35 and 43

That means |y−35| is positive so we can remove the absolute value signs

|y−43|  is negative so we negate each term ( or multiply by -1)

-y+43 = y - 35

Add y to each side

y-y+43 = y+y-35

43 = 2y -35

Add 35 to each side

43+35 = 2y

78 = 2y

Divide by 2

78/2 = 2y/2

39 = y

Answer:

Step-by-step explanation:

You would need to include the center of rotation. For many problems, the center is usually the origin (0,0). This is a default assumed center. Though the center could easily be any other point.

In addition, you also need the amount of rotation that is being applied (eg: 90 degrees).

The last bit of info you need is whether you're going clockwise or counterclockwise. For 180 degree rotations, it doesn't matter, but for everything else it does matter.

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]3(2x+2)=18+4(x-5)[/tex]

Distribute the left and the right:

[tex]3(2x)+3(2)=18+4(x)+4(-5)[/tex]

Simplify:

[tex]6x+6=18+4x-20[/tex]

Combine on the right:

[tex]6x+6=4x-2[/tex]

Subtract 4x from both sides. The right cancels:  

[tex](6x+6)-4x=(4x-2)-4x\\2x+6=-2[/tex]

Subtract 6 from both sides. The left cancels:

[tex](2x+6)-6=(-2)-6\\2x=-8[/tex]

Divide both sides by 2:

[tex](2x)/2=(-8)/2\\x=-4[/tex]

Thus, the value of x is -4.

Answer:

x = -4

Step-by-step explanation:

3(2x + 2)=18 + 4(x - 5)

6x + 6= 18 +4x - 20

6x - 4x = -2-6

2x = -8

x = -4

Answer:

∠ AOB = 17.5°

Step-by-step explanation:

∠ AOB + 110 + ∠ COD = 180 ( sum of angles in straight line )

[tex]\frac{1}{3}[/tex] ∠ COD + 110 + ∠ COD = 180 ( subtract 110 from both sides )

[tex]\frac{4}{3}[/tex] ∠ COD = 70 ( multiply both sides by 3 to clear the fraction )

4 ∠ COD = 210 ( divide both sides by 4 )

∠ COD = 52.5°

Thus

∠ AOB = [tex]\frac{1}{3}[/tex] × 52.5° = 17.5°

Answer:

5

Step-by-step explanation:

a polynomial has one quadratic factor and 3 linear factors. One of the linear factors has multiplicity two. What is the degree of the polynomial

A polynomial with one quadratic obtains the forms ( ax² +bx +c ) with 3 linear factors.

Suppose the three linear fractions are :

(x- P) (x-Q) (x- R)

∴

The polynomial = ( ax² +bx +c )(x- P) (x-Q) (x- R)

By factorization, the highest degree of the polynomial = 5

Answer:

A = 1/2bh

Step-by-step explanation:

The formula for an area of a triangle is always going to be one-half of the base times the height.

Answer:

Divide −x - x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x3 f - 1 ( x ) = - x 3 is the inverse of f(x)=−3x f ( x ) = - 3 x

3x +5 = 2x +15

Subtract 5 from both sides:

3x = 2x + 10

Subtract 2x from both sides:

X = 10

Answer:

The answer is x=10.

3x-2x=15-5.

x=10.