Given: angle EGF = 60° and Angle AGF = 90°. Prove: AGB = 30
I need two column proof btw

Step-by-step explanation:

(f-g)(x)=

[tex]x ^{2} - 3x + 9 - (3 {x}^{3} + 2 {x}^{2} - 4x - 9) = \\ x ^{2} - 3x + 9 - 3 {x}^{3} - 2 {x}^{2} + 4x + 9 = \\ - 3 {x}^{3} - x ^{2} + x + 18[/tex]

9514 1404 393

Answer:

  20 m

Step-by-step explanation:

The 30 m shadow of the tree is 10 times the 3 m length of the person's shadow. We expect the tree to be 10 times as tall as the person:

  10(2 m) = 20 m . . . height of the tree

Answer:

Note: 3/25 and 0.12 are the same

0.12, 3/25, 0.056, 0.1225

OR

3/25 0.12, 0.056, 0.01225

Hope this Helps!

Answer:

m = 3

Step-by-step explanation:

Use the slope formula to find the slope  m .

Answer:

A car dealership has a special on rentals. They charge a one time fee of $3 and then $4 per day for the rental. If John gets a rental from this dealership, how much will his total be after 12 days?

Step-by-step explanation:

Hope this helps!

Answer:

A. no, the sale price is about 60% of $65 or $39. Because $38 is less than $39, you do not have enough money.

Step-by-step explanation:

Given parameters:

   Discount on sales  = 40%

    Amount with me = $38

    Original sales price = $65.99

Unknown:

Will you have enough money to buy the item = ?

Solution:

To solve this problem, let us find the discount amount on the selling price;

      = [tex]\frac{40}{100}[/tex]   x  65.99

      = $26.39

So, the price of the item now = Original sales price - discount amount

                                                 = $65.99 - $26.39

                                                 = $39.6

$39.6 can also be derived from 60% of $65.99

This amount is more than amount at hand.

Answer: a- (7,7) (4,19) b- m=-12/3=-4/1=-4 c- y=4x+35 d- 48min, it increases by 12min a day

Step-by-step explanation:

i did the assignment

Mr. Waxman's delivery is an illustration of a linear function.

(a) Two points on the graph

The points are: (4,19) and (6,11)

(b) The slope of the graph

The slope (m) is calculated as:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{11 - 19}{6- 4}}[/tex]

[tex]\mathbf{m = \frac{-8}{2}}[/tex]

[tex]\mathbf{m = -4}[/tex]

The slope of the graph is -4

(c) The equation of the graph

In point-slope form, we have:

[tex]\mathbf{y -y_1 = m(x - x_1)}[/tex]

So, we have:

[tex]\mathbf{y -4 = -4(x -19)}[/tex]

In slope intercept form, we have:

[tex]\mathbf{y = -4(x -19) + 4}[/tex]

Open brackets

[tex]\mathbf{y = -4x +76 + 4}[/tex]

[tex]\mathbf{y = -4x +80}[/tex]

The equation of the graph is: [tex]\mathbf{y = -4x +80}[/tex]

(d) The value of the function at day 0

This means that x = 0

So, we have:

[tex]\mathbf{y = -4(0) +80}[/tex]

[tex]\mathbf{y = 0 +80}[/tex]

[tex]\mathbf{y = 80}[/tex]

Hence, it will take 80 minutes to deliver the package on day 0

Read more about linear functions at:

https://brainly.com/question/20286983

Complete Question

According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume? Integers to . b. Find to 3 decimal places the probability that exactly 6 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables. Use the binomial probability distribution formula. Probability

Answer:

a

The possible value of x is 0, 1 ,2,3,4,5,6,7,8,9,10

b

[tex]P(X = 6) =   0.158 [/tex]

Step-by-step explanation:

From the question we are told that

 The proportion that stated that they have not purchased organic fruits or vegetables is [tex]p =0.74[/tex]

   The sample size is  n = 10

The possible value x can take is  0, 1 ,2,3,4,5,6,7,8,9,10

Generally the probability that exactly 6  households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is mathematically represented as

      [tex]P(X = 6) =  ^nC_6 * p^{6}* (1-p)^{n-6}[/tex]

Here C denotes combination

So

        [tex]P(X = 6) =  ^{10}6 * (0.74)^{6}* (1-0.74)^{10-6}[/tex]

=>    [tex]P(X = 6) =   0.158 [/tex]

Answer:

1

Step-by-step explanation:

because all of the squares are shaded so it would be 1 whole

Answer:

to what

Step-by-step explanation:

i can't see the question

Answer:

( 1.5, 0)

Step-by-step explanation:

1. Find the coordinates ; in this case (7,-2) and (-4, 2)

2. Plug it into the formula (x1 + x2 ÷ 2 ) , (y1 + y2 ÷ 2)

3. ( 7 +  -4 ÷2) = 1.5    And    ( -2 + 2 ÷ 2) = 0

4. Therefore, the midpoint is ( 1.5, 0 )

Answer:

44percent

Step-by-step explanation:

in order to find the percent you just divide the numerator by the denomincator, hope this helps!

Answer:

a number greater than any assignable quantity or countable number (symbol ∞).

Step-by-step explanation:

Answer:

x=110

Step-by-step explanation:

-.5x+12.5=-x+18

add x to -x to move it

then add 1x to -.5x to get .5

soo.....

.5x+25.5=18

the subtract 12.5 from both sides to get

.5x=5.5

then divide .5 from both sides to get

x=110

Answer:

Step-by-step explanation:

p=9(b-5)

p=9b-45

p-9b=-45

-9b=-45-p

b=5+(p/9)

Answer:

criteria

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

X=15

Step-by-step explanation:

50−x=80−3x

Step 1: Simplify both sides of the equation.

50−x=80−3x

50+−x=80+−3x

−x+50=−3x+80

Step 2: Add 3x to both sides.

−x+50+3x=−3x+80+3x

2x+50=80

Step 3: Subtract 50 from both sides.

2x+50−50=80−50

2x=30

Step 4: Divide both sides by 2.

2x \2 = 30 \2

Answer:

x=15

Step-by-step explanation:

toke a while to finish it, but there you go

cheers and have a good night :D

Answer and Step-by-step explanation:

Not p = ¬p

P or q = p ∨ q  

P and q = p ∧ q

If p then q = p → q

P if and only if q = p ↔ q

Existential quantification:  There exist an element x in the domain such that p(x).

Universal quantification: p(x) for all values of x in the domain.

(a)  No one has lost more than one thousand dollars playing the lottery.

Let A(x) means ‘x has lost more than one dollars playing the lottery’

It can also write as “there does not exists a person that lost more than one thousand dollars playing”

                     ¬Ǝ x A (x)

Negation of this statement:  

By using double negation law:

                               ¬ [¬Ǝ x A (x)]  ≡ Ǝ x A(x)

(b) There is a student in this class who has chatted with exactly one other student.

Let B(x,y) means “ x has chatted with y” and domain is all students of this class.

We can write the given sentence as:

“There is a student in the class who has chatted with one student and this student is not himself and for all people the student chatted with, this student has to be himself or the one student he chatted with”

Ǝ x Ǝ y[B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x,y) → ( z = x v z = y))]

The negation:

               ¬ Ǝ x Ǝ y[B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]

By using De Morgan’s law for quantifiers:

≡∀x ¬ Ǝ y [B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]

≡∀x ∀ y [B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]

De Morgan’s law:

≡∀x ∀ y [¬  B ( x, y) v  ¬ ( x ≠ y) v ∀ z (B(x ,y) → ( z = x v z = y))]

By using De Morgan’s law for quantifiers:

≡∀x ∀ y [¬  B ( x, y) v  x=  y  v Ǝ z¬ (B(x ,z) → ( z = x v z = y))]

(c)  No student in this class has sent e-mail to exactly two other students in this class

Let c(x, y) means “ x has sent email to y” and the domain is all student of class.

Using double negation law:

Ǝ x Ǝ y Ǝ z [c(x, y) ∧c(x ,z) ∧ x≠ y ∧ x ≠z ∧ y ≠ z ∀ w (c(x,w) → ( w = x v w = y v w = z)]

There is a student in class that has sent email to exaxtly two other students in class.

(d)  One student has solved every exercise in this book

Let D(x , y) mean student x has solved exercise y in this book.

The negation:  

Ǝx∀yD(x,y)

Use De Morgan’s law for qualifiers:

    ≡∀ x Ǝ y ¬D(x, y)  

(e). No student has solved at least one exercise in every section of this book.

Let E(x, y,z) be student x has solved exercise y in section z of this book.

We can write “there does not exist a student that solved at least one exercise in all sections of this book”

¬Ǝ x Ǝ y ∀ Z E(x, y, z)  

Negation:

                      ≡¬ [¬ Ǝ x Ǝ y ∀ Z E(x, y, z)  ]

Use double negation law:

                                     ≡ Ǝ x Ǝ y ∀ Z E(x, y, z)  

Using proportions, it is found that the expression that can be used to find the number of inches in 6 feet is given by:

6 feet = 6 x 12 inches = 72 inches.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the rule of three is given as follows:

1 foot - 12 inches.

6 feet - x inches.

Applying cross multiplication:

6 feet = 6 x 12 inches = 72 inches.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

5 pounds

Step-by-step explanation:

50 pounds of dog food divided by 10 days = 5 pounds per day for 10 days.

Answer:

an equation of the second degree, meaning it contains at least one term that is squared.

Step-by-step explanation:

A quadratic equation contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

y=mx+b is the slope-intercept form. Y will remain the same. Since the slope is decreasing, use a negative. The y-intercept is -5, so substitute that for b.

Answer:

Step-by-step explanation:

1/4

1/3

1/2

1

2

3

4

9.15

9.3

9.376

9.51

Step-by-step explanation:

We have

87+86+x

T is the total scores

n is number of tests done = 3

T/n is greater than or equal to 90

To get minimum test

T/n = 90

T = 90*n

= 90n

We solve for x

Remember n = 3

90x3 = 270

270 = 87+86+x

270 = 173+x

X = 270-173

X = 97

1.

X = 97

2.

You didn't add a value in your part b question. I used 80 though.

T/n < 80

T<80n

80x3= 240

T<240

87+86+x<240

X<240-173

X<67

X has to be less than 67 so we conclude that if x <=67 b grade will be lost.

[tex]\large\underline{\bf\red{Solution:-}}[/tex]

Given two points are :-

So , we know Two point form into equⁿ using a formula , which is

[tex]\boxed{\purple{\bf{\dag y - y_1 = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}}}[/tex]

So, on substituting respective values ,

=> y - 3 = (-5-3)/0-(-1) × ( x - 3)

=> y - 3 = -8/1 ( x - 3)

=> y - 3 = -8x +24

=> 8x + y -27 = 0