Find the LCM of these two expressions: m2 + 11m + 10 and m2 + 9m – 10.

Conditional statements are statements that are either true or false, based on certain conditions.

The value of c is true

The condition is given as:

If A and B, then C

Where:

[tex]\mathbf{A = false}[/tex]

[tex]\mathbf{B = false}[/tex]

The reverse means that:

If not A and not B, then C

This means that:

[tex]\mathbf{not\ A = not\ false}[/tex]

[tex]\mathbf{not\ B = not\ false}[/tex]

So, we have:

[tex]\mathbf{not\ A = true}[/tex]

[tex]\mathbf{not\ B = true}[/tex]

For an and condition to be true, both values must be true.

So, we have:

If not A and not B, then C

Substitute known values

If true and true, then C

Because both values are true, then the value of C will also be true

Read more about conditional statements at:

https://brainly.com/question/10714086

Answer: 91 students ride the bus

For this problem, you can set up a proportion where:

w = those who walk to school

r = those who ride the bus to school

[tex] \frac{w}{r} = \frac{w}{r} [/tex]

Then include the ratio (1:7) as a fraction (1/7) and the value that is known (13).

[tex] \frac{1}{7} = \frac{13}{x} [/tex]

Cross multiply (create an "x").

[tex]1 \times x = 7 \times 13[/tex]

[tex]x = 91[/tex]

Complete question:

Some sources report that the weights of​ full-term newborn babies in a certain town have a mean of 9 pounds and a standard deviation of 0.6 pounds and are normally distributed.

Answer: 0.7497

Step-by-step explanation:

Mean = 9

sd = 0.6

n = 4

P(4 babies will be between 8.4 and 9.6 pounds)

P(8.4 ≤ X ≤ 9.6)

Standard error of the sample (S. E) :

S. E = sd/√n

= 0.6 /√4

= 0.6/2

= 0.3

P(8.4 ≤ X ≤ 9.6)= ((P(8.4 - 9) / 0.3) ≤ X ≤ (9.6 - 9)/0.3)

P(8.4 ≤ X ≤ 9.6) = P(-2 ≤ X ≤ 2)

P(Z ≤ 2) - P(Z < - 2)

0.9772 - 0.2275 = 0.7497

The probability will be "0.7497".

Given:

Mean,

Standard deviation,

Number of babies,

The standard error of sample will be:

→ [tex]S.E. = \frac{sd}{\sqrt{n} }[/tex]

          [tex]= \frac{0.6}{\sqrt{4} }[/tex]

          [tex]= \frac{0.6}{2}[/tex]

          [tex]= 0.3[/tex]

hence,

→ P(4 babies will be between 8.4 - 9.6 pounds)

[tex]P(8.4 \leq X \leq 9.6) = (\frac{(8.4-9)}{0.3} \leq X \leq \frac{(9.6-9)}{0.3} )[/tex]

                            [tex]= P(-2 \leq X \leq 2)[/tex]

                            [tex]= P(Z \leq 2) - P(Z \leq -2)[/tex]

                            [tex]= 0.9772-0.2275[/tex]

                            [tex]= 0.7497[/tex]

Thus the above response is right.  

Learn more:

https://brainly.com/question/14008215

Answer:

29 years

Step-by-step explanation:

A = P (1 + r)^t

where A is the final amount,

P is the initial amount,

r is the annual interest rate,

and t is the number of years.

17,000 = 11,000 (1 + 0.015)^t

1.545 = 1.015^t

log 1.545 = t log 1.015

t ≈ 29

Answer:

5^6

Step-by-step explanation:

(5^3)^2

We know that a^b^c = a^(b*c)

5^(3*2)

5^6

Answer:

5⁶

Step-by-step explanation:

[tex]x^{a^{b} } =[/tex] xᵃᵇ

on this case:

[tex]5^{3^{2} }[/tex] = 5⁽³⁾⁽²⁾ = 5⁶

Answer:

f(x)=-8sin(pi/6x)+2

Step-by-step explanation:

The graph of a sinusoidal function intersects its midline at (0,2) and then has a minimum point at (3,-6) So, the function is f(x) = -8sin(pi/6x)+2.

The sinusoidal function has the following form:

[tex]y = x_0 + A\: sin(w.x+\theta)[/tex]

Where:

A= Amplitude

w = Angular frequency

[tex]x_0[/tex] = Independent component of the midpoint value

[tex]\theta[/tex] = Phase angle

Amplitude is the absolute value of the difference between a dependent component of the midline and the absolute minimum

A = |-6 - 2|

A = 8

[tex]x_0[/tex] = 2

The angular frequency of the function is now determined by substituting all remaining variables and clearing it within the sinusoidal function

[tex]w.x + \theta = \pi / 6[/tex]

The sinusoidal function

f(x) = -8sin(pi/6x)+2

Learn more about a sinusoidal function:

https://brainly.com/question/16645381

Surface area of the room:

area of ceiling + floor + the four walls

ceiling area = floor area

Total surface = 15 + 15 +32 = 62 m²

Answer:

400000

Step-by-step explanation:

Answer:

3 points

Step-by-step explanation:

If you do the vertical line test, there are 3 points that need to be removed, as there can only be 1 x value for every y value in order for it to be a function.

Answer:

3 points

Step-by-step explanation:

if you do the vertical line check you can see that there are 3 lines with 2 points on one line vertically. for it to be a function it would need to only have one so you would need to remove one from each line.

Answer:

-3x + 2y = 8

Simplifying

-3x + 2y = 8

Solving

-3x + 2y = 8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

-3x + 2y + -2y = 8 + -2y

Combine like terms: 2y + -2y = 0

-3x + 0 = 8 + -2y

-3x = 8 + -2y

Divide each side by '-3'.

x = -2.666666667 + 0.6666666667y

Simplifying

x = -2.666666667 + 0.6666666667y

Step-by-step explanation:

Answer:

All i know is that it's not X

Step-by-step explanation:

I got it wrong on edmentum :/

im pretty sure that it is

i

Answer:

i

Step-by-step explanation:

[tex] \huge {i}^{37} \\ \huge= {i}^{36} \times i \\ \huge = ( {i}^{2})^{18} \times i \\\huge = ( - 1) ^{18} \times i \\ \huge = 1 \times i \\ \huge = i \\ \\\huge \therefore {i}^{37} = i[/tex]

Answer:

  {1, 2, 4, 5, 6, 8, 10, 11, 12, 14, 15, 16, 19, 20, 23, 24, 25, 27, 28, 29, 31, 32, 33, 35, 36, 37, 39, 40, 41, 43, 44, 47, 48, 51, 52, 55, 56, 59, 60, 64, 68, 72, 74, 76, 78, 80, 82, 86, 90, 94, 98}

Step-by-step explanation:

The total number of pushups Bucky does is the sum sequence of scores in the game. The values in that sequence depend on the order of the goal types.

For example, consider a 2-goal game. Possible sequences of scores are ...

  3, 6  (9 pushups)

  3, 10  (13 pushups)

  7, 10  (17 pushups)

  7, 14  (21 pushups)

You can see that for a 1- or 2-goal game, the number of pushups cannot be any of ... 1, 2, 4, 5, 6, 8, 10, 11, 12, 14, 15, 16.

The list above is all of the numbers less than 100 that are numbers of pushups Bucky will never do in any game in which the goal values are either 3 or 7.

__

Any game with 8 goals or more will have numbers of pushups more than 100.

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Dividend paid (D) = $2

Growth rate (g) = 4% per annum = 0.04

Expected Dividend in each of the next 3 years :

1st year : $2 * 1.04 = $2.08

2nd year : $2.08 * 1.04 = $2.16

3rd year: $2.16 * 1.04 = 2.2464 = $2.25

B) If the discount rate for the stock is 12 percent, at what price will the stock sell?

Discount rate (r) = 12% = 0.12

Price of stock = Dividend / (r - g)

Price of stock = 2 / (0.12 - 0.04)

Price = 2 / 0.08 = $25

c. What is the expected stock price 3 years from now?

(2.25 * 1.04) / 0.08

2.34 / 0.08 = $29.25

D) If you buy the stock and plan to hold it for 3 years, what payments will you receive? What is the present value of those payments?

Dividend to be received from year 1 to 3

2.08, 2.16, 2.25

Stock price in 3rd year = 29.25

Present value :

(29.25/1.12^3) + (2.25/1.12^3) + (2.16/1.12^2) + (2.08 / 1.12^1) = 26.00

For year 1 :

D = 2.08

Stock price = 2.16/0.08 = 27

Present value (PV) = (27/1.12) + (2.08/1.12) = 25.96

Year 2 :

D = 2.16

Stock price = 2.25/0.08 = 28.125

cashflow = (2.16 + 28.125) = 30.285

PV = (28.125/1.12^2) + (2.16/1.12^2) + (2.08/1.12^1) = 26.00

Year 3:

D = 2.25

STOCK PRICE = 29.25

Total Cashflow = (2.25 + 29.25) = 31.5

PV = (31.5/1.12^3) + (2.25/1.12^3) + (2.16/1.12^2) + (2.08/1.12^1) = $27.60

Answer:

60°

Step-by-step explanation:

Through point B draw a line m || AY || CX and take two points say E and F on left and right side of point B respectively.

Therefore,

m∠FBC + m∠XCB = 180°..(By interior angle property)

m∠FBC + 130° = 180°

m∠FBC = 180° - 130°

m∠FBC = 50°....(1)

Next,

m∠ABF = m∠BAY... (Alternate angles)

m∠ABC + m∠FBC = 110°

(since, m∠ABF = m∠ABC + m∠FBC)

m∠ABC + 50° = 110° (From equation 1)

m∠ABC = 110° - 50°

[tex] \huge \purple {\boxed {m\angle ABC = 60\degree}} [/tex]

Step-by-step explanation:

5y = ZW - ZC

5y = Z(W - C)

5y / W- C = Z(W -C) / W - C

Z = 5y / W - C

Answer:

1. $183

2.30 + 9t

Step-by-step explanation:

Guaranteed wage =$30

Additional amount that Brooklyn earns from tips depends on the number of tables she waits on that day.

Each table Brooklyn waits on =$9

1. How much would Brooklyn expect to earn in a day on which she waits on 17 tables

Total wage= guaranteed wage + tips on each table

Total wage=$30 + $9x

Where x= number of tables Brooklyn waits on

If she waits on 17 tables

Total wage=$30 + $9x

=30 + 9(17)

=30+153

=183

Total wage=$183

2. How much would Brooklyn expect to make in a day when waiting on t tables?

Total wage=$30 + $9x

When x=t

Total wage= 30+9(t)

=30+9t

Total wage=30 + 9t

Answer:

0.62

Step-by-step explanation:

Probability of rain = 34% = 0.34

Probability of wind = 38% = 0.38

Probability of wind and rain = 10% = 0.1

P(wind U rain) = p(wind) + p(rain) - p(both)

= 0.34 + 0.38 -1

= 0.62

The probability that it would be rainy or sunny in any given day in April is 62%

Answer:

Please comment on this answer what the real question is.

Step-by-step explanation:

Answer:0.3273542601

Step-by-step explanation:

73÷223=0.3273542601

Because both the x and y variables are associate with a value, you don’t just add 3x and 2x.

You have:

3x^5y^8 + 2x^5y^7

Apply the exponent rule a^b+c = a^ba^c

This means x^5y^8 = x^5y^7y

Now you have:

3x^5y^7y + 2x^5y^7

Since they both now have an x^5y^7 in them factor the out of both:

When you take that out it’d both numbers you are left with 3y + 2

The final answer is: X^5y^7(3y +2)

Answer:

$1

Step-by-step explanation:

5 cans of corn  --  5 * $1 = $5

4 cases of water  --  4 * $4 = $16

4 pounds of meat  --  4 * $2 = $8

Paid with  --  $30

Change required  --  30 - 8 - 16 - 5 = $1

John's mom will get $13 change back from the grocery shopkeeper.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given that,

5 cans of corn ⇒  $1.00/can

So cost  5 × 1 = $5

4 cases of water ⇒ $4.00 (remember not given "each")

So cost ⇒ $4

4 pounds of meat ⇒ $2.00 per pound

So cost 4 × 2 = $8

Now,

Total cost = 5 + 4 + 8 = $17

So,

Change = 30 - 17 = $13

Hence "John's mom will get $13 change back from the grocery shopkeeper".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ2

Answer:

z= 3.63

z for  significance level = 0.05 is ± 1.645

Step-by-step explanation:

Here p = 42% = 0.42

n= 500

We formulate our null and alternative hypotheses as

H0: p= 0.42     against Ha : p> 0.42 One tailed test

From this we can find q which is equal to 1-p= 1-0.42 = 0.58

Taking p`= 0.5

Now using the z  test

z= p`- p/ √p(1-p)/n

Putting the values

z= 0.5- 0.42/ √0.42*0.58/500

z= 0.5- 0.42/ 0.0220

z= 3.63

For one tailed test the value of z for  significance level = 0.05 is ± 1.645

Since the calculated value does not fall in the critical region we reject our null hypothesis  and accept the alternative hypothesis that more than 42%  people owned cats.

Answer:

Kevin mowed 4 lawns.

Step-by-step explanation:

If you take 12, and divide it by 3, you get 4. Which is how many lawns Kevin mowed.

(I'm not sure about the boxes because there wasnt a picture, but good luck!)

Answer:

Point W

Step-by-step explanation:

Just trusssss me

The intersection of line m and line n is described by point W.

Intersecting lines are those lines that meet or cross each other in a plane. On the other hand, when two or more lines do not meet at any point, they are called non-intersecting lines.

When two or more lines meet at a common point, they are known as intersecting lines. The point at which they cross each other is known as the point of intersection. Observe the following figure which shows two intersecting lines 'a' and 'b' and the point of intersection 'O'.

As, given that

Line m intersects line n at point W.

So, where the line meets should be a intersecting point.

Hence, W is the intersecting point.

Learn more about intersecting line here:

https://brainly.com/question/14217061

#SPJ2

Answer:

The  value is  [tex]\% c = 5\%[/tex]

Step-by-step explanation:

From the question we are told that

  The mass of salt is  [tex]m_s = 30 \ g[/tex]

    The  mass of the solution is  [tex]m_S = 600 \ s[/tex]

Generally the concentration is  mathematically represented as

         [tex]\% c = \frac{30}{600} * 100[/tex]

          [tex]\% c = 5\%[/tex]

Answer:

33

Step-by-step explanation:

Substitute f(-3) in the problem and you'll get f(-3) = -x³ + x² + x.

Substitute the given value into the function and evaluate.

Answer:

33.

Step-by-step explanation:

f(x) = -x³ + x² + x.

f(-3) = -(-3)³ + (-3)² + (-3)

= -(-27) + (9) - 3

= 27 + 9 - 3

= 36 - 3

= 33.

Hope this helps!

Answer:

multiply the cost by the total number of liters needed: $1.45/L *60L = $87

Answer:

44

Step-by-step explanation:

For any real number x, if x > 0 then |x| = x, otherwise, if x < 0 then |x| = -x. In this case, x = -44 which is less than 0, therefore, |-44| = -(-44) = 44.

Answer:

It would be 44

Step-by-step explanation:

Because it takes 44 units to get to the positive number 44

Answer: 3

Step-by-step explanation:

Given: A sample of 100 production workers is obtained. The workers are classified by gender (male, female) and by age (under 20, 20−29, 30−39, and 40 or over).

Here,

Total classes as per gender: k = 2 (male female)

Total classes as per age : m = 4  (under 20, 20−29, 30−39, and 40 or over)

Now , the degree of freedom = (k-1) ( m-1)

=  (2-1) (4-1)

= (1)(3)

= 3

Hence, there are 3 degree of freedom.