In a triangle, the measure of the first angle is three times the measure of the second angle. The measure of the third angle is 75º more than the measure of the second
angle. Use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle.

The measure of the first angle is°?
The measure of the second angle is º?
The measure of the third angle is °?​

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.  

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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]

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.

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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:

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:

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

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

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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 :/

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".

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Answer:

the simple multiplier is equal to 4

Step-by-step explanation:

Given that:

Y=  C + I + G + (X - M)

the average expenditure Y must be equal  to the totality of the output

If C = 3 + 0.75Y  

here;

the  marginal propensity  consumed MPC = 0.75

Then,

Y = 3 + 0.75Y + 2 + 1

Y = 6+0.75 Y

Y - 0.75 Y = 6

0.25 Y = 6

Y = 6/0.25

Y = 24

However,  the simple multiplier can be expressed as:

[tex]= \dfrac{1}{1-MPC}[/tex]

[tex]= \dfrac{1}{1-0.75}[/tex]

= [tex]\dfrac{1}{0.25}[/tex]

= 4

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.

Surface area of the room:

area of ceiling + floor + the four walls

ceiling area = floor area

Total surface = 15 + 15 +32 = 62 m²

Answer:

2d + 4 = 12

Step-by-step explanation:

d = # of daisies

d+4 = # of roses

The total number of flowers is 12, so:

d + d+4 = 12

2d + 4 = 12

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

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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

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:

cos θ = -5/13

Step-by-step explanation:

sin θ = -12/13

Use Pythagorean identity.

sin²θ + cos²θ = 1

(-12/13)² + cos²θ = 1

144/169 + cos²θ = 1

cos²θ = 25/169

cos θ = ±5/13

θ is in the 3rd quadrant, so cos θ < 0.

cos θ = -5/13

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]

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:0.3273542601

Step-by-step explanation:

73÷223=0.3273542601

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

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:

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:

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:

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:

400000

Step-by-step explanation:

Answer:

Please comment on this answer what the real question is.

Step-by-step explanation:

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