Given that M< PQR=102, find M

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:

≈0.76

Step-by-step explanation:

P(A) = 0.33

P(A and B) = 0.25

P(B) = ?

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Probability of two events happening is the product of individual probabilities

Then to find the probability of one of the events:

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:

- 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

Answer:

yes, the subtracting of two rational numbers is like subtracting two fractions, and the result will always be a fraction which is a rational number. (All rational numbers is a number that can be represented as a fraction)

Step-by-step explanation:

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

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{r = 1.9}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{7(r + 1) = 20.3}[/tex]

Distribute 7 through the parentheses

⇒[tex] \sf{7r + 7 = 20.3}[/tex]

Move 7 to right hand side and change it's sign

⇒[tex] \sf{7r = 20.3 - 7}[/tex]

Subtract 7 from 20.3

⇒[tex] \sf{7r = 13.3}[/tex]

Divide both sides of the equation by 7

⇒[tex] \sf{ \frac{7r}{7} = \frac{13.3}{7} }[/tex]

Calculate

⇒[tex] \sf{r = 1.9}[/tex]

Hope I helped!

Best regards!!

r is 1.9

Solve  7(r+1) = 20.3

Remove the brackets by dividing both sides by 7:

7(r+1) / 7 = 20.3 / 7

r + 1 = 2.9

Take 1 to the other side so that you can be left with r. When you do this, the sign will change from positive to negative:

r = 2.9 - 1

r = 1.9

r is therefore 1.9

Find out more at https://brainly.com/question/17289311.

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:

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:

x+14.

Step-by-step explanation:

Sum of a number and 14 is x+14.

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:

The square root of numbers like 4, 9, and 16 is a square number.

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

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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:

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:

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

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:

[tex]Min=21, Q_1=23, M=30.5, Q_3=38,Max=47[/tex].

Step-by-step explanation:

The given data set is

45, 47, 23, 30, 27, 31, 21, 31, 22, 38

Arrange the data is ascending order.

21, 22, 23, 27, 30, 31, 31, 38, 45, 47

Divide the data in 4 equal parts.

(21, 22),23, (27, 30),( 31, 31), 38, (45, 47)

Now,  

Minimum value = 21

First quartile, [tex]Q_1=23[/tex]

Median, [tex]M=\dfrac{30+31}{2}=30.5[/tex]

Third quartile, [tex]Q_3=38[/tex]

Maximum value = 47

Therefore, the five-number summary for the given data set is [tex]Min=21, Q_1=23, M=30.5, Q_3=38,Max=47[/tex].

Divide 4 by 15:

4/15 = 0.2666666

Some of the possible rounding are: 0.267, 0.27 or 0.30

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:

[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:

he could by 2 pounds and still have a dollar left over because

15 11 6

-4 -5 -5 so yeah

11 6 1

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)

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:

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:

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!