In a study using 50 foreign-language vocabulary words, the learning rate L (in words per minute) was found to depend on the number of words already learned, x, according to the equation L(x) = 20 – 0.4x

Answer:

m=0

b=-9

Step-by-step explanation:

Slope is equal to the change in

y

over the change in

x

, or rise over run.

m

=

change in y

change in x

The change in

x

is equal to the difference in x-coordinates (also called run), and the change in

y

is equal to the difference in y-coordinates (also called rise).

m

=

y

2

−

y

1

x

2

−

x

1

Substitute in the values of

x

and

y

into the equation to find the slope.

m

=

−

9

−

(

−

9

)

2

−

(

−

4

)

The equation of the line is equal to y=-5x/4 +c

The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line

Given here: The given line passes through (4,6) and (9,2)

We know the slope intercept form is given by

y=mx+c

putting (4,6)  in the equation we get

6=4m+c

Again substituting (9,2) in the equation we get

2=9m+c

Thus solving this two equations we get the value of m=-5/4 and c=11

Hence, The equation of the line is equal to y=-5x/4 +c

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Answer:

The ordered pairs (-2,3) and (5,1) make the inequality true.

Step-by-step explanation:

Answer:

3.225

Step-by-step explanation:

15%= 15/100

therefore 15% tip of 21.50

15/100×21.50 = 3.225

The answer is 24, hopes this helps!

Answer:

i need help too

Step-by-step explanation:

...

Answer:

123.8 units

Step-by-step explanation:

The vertices of the polygon has been labelled ABCDEF, as shown in the diagram attached below.

Perimeter of the Polygon = [tex] \overline{AB} + \overline{BC} + \overline{CD} + \overline{DE} + \overline{EF} + \overline{FA} [/tex]

[tex] \overline{AB} [/tex] = |-12 - 24| = |-36| = 36 units

[tex] \overline{BC} [/tex]: calculate the distance between B(24, 16) and C(15, 3) using the distance formula.

[tex] \overline{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] \overline{BC} = \sqrt{(24 - 15)^2 + (16 - 3)^2} [/tex]

[tex] \overline{BC} = \sqrt{(9)^2 + (13)^2} [/tex]

[tex] \overline{BC} = \sqrt{81 + 169} = \sqrt{250} [/tex]

[tex] \overline{BC} = 15.8 units [/tex]

[tex] \overline{CD} [/tex] = |6 - 15| = |-9| = 9 units

[tex] \overline{DE} [/tex] = |3 -(-12)| = |-15| = 15 units

[tex] \overline{EF} [/tex] = |-12 - 6| = |-18| = 18 units

[tex] \overline{FA} [/tex] = |18 -(-12)| = 30 units

Perimeter = 36 + 15.8 + 9 + 15 + 18 + 30 = 123.8 units

Answer:

El nieto de 14 años de edad recibirá la mayor cantidad.

Step-by-step explanation:

En este problema, debemos tener en mente que la cantidad aportada es directamente proporcional a la edad de quien recibe, esta cantidad es igual al producto de la cantidad total y la razón de la edad de quien recibe y la suma de todas las edades.

Bajo este razonamiento, podemos concluir que el nieto de 14 años de edad recibirá la mayor cantidad.

Vamos escrever.

(a.b)³. b.(b.c)² =

a³.b³.b. b².c² =

a³b^6.c² ( forma simplificada)

Answer:

I included the graph for you, hope this helps!

Step-by-step explanation:

Answer:

Primarily, the Indian temple architecture has been classified into three broad types, namely; Nagara or the northern style, Vesara or mixed style, and the Dravida which is the southern style. All these styles carry their unique regional influences and lineages.

Step-by-step explanation:

Answer:

I'm pretty sure its 12 inches

Step-by-step explanation:

Answer:

A. y = square root of 2x

We are given the function

y = 2 √x

We are asked for the function that has the same domain as the given function

First, the domain for the given function is this

{ x | x ≥ 0 }

So, any function that has a domain of x that is equal to or greater than 0. Some examples:

f(x) = √x  -  2

f(x) = 5 √x

Answer:

-1

Step-by-step explanation:

Answer:

add

Step-by-step explanation:

Answer:

Add

Step-by-step explanation:

To multiply numbers written in scientific notation, first multiply the coefficients and then add the exponents.

See if that helps.

Answer:

Scale = ¼

Step-by-step explanation:

See attachment for complete question.

In the attached, we have.

Width = 4 units. ----- Orange

Width = 16 units ------- Black

Required

Determine the scale of dilation

The scale of dilation can be calculated as:

Scale = Width(orange)/Width (black)

Scale = 4/16

Scale = ¼

Hence, the scale of dilation is ¼

Answer:

Angle RQT and Angle RQO

Step-by-step explanation:

These angles share the common vertex of Q and the common side of RQ

Answer:

The first option.

Step-by-step explanation:

The way I always remember adjacent angles is they are kinda beside each other.

9514 1404 393

Answer:

  $77.94

Step-by-step explanation:

The (signed) sum of charges and credits results in the total due:

  $82.04 -4.10 = $77.94 . . . amount due

Answer:

5.73%

Step-by-step explanation:

Calculation for the rate of return that the university must realize

Using this formula

Rate of return = Initial payment/(Plan to donate- Initial payment)

Let plug in the formula

Rate of return=$13,000/($240,000-$13,000)

Rate of return=$13,000/$227,000

Rate of return=0.0573*100

Rate of return =5.73%

Therefore The rate of return that the university must realize in order to award the annual scholarship forever is 5.73 %.

Answer:

h. x=11

i. x=4 1/6 (1/6 is a fraction)

k. x=-8

l. x= 3 1/2 (1/2 is a fractio)

Step-by-step explanation:

Answer: The answer is 1

Step-by-step explanation: The distance between -7 and -3 is 4 then half the distance in between -7 and -3 is going to be -5 because we just clarified that the distance between -7 and -3 is 4 so we did 4/2 and got 2 so we can figure out whats the distance between each point. Now that we figured that out we can determine what value the blue dot is if the value between each point is 2 then we can make out what the rest of the points on the line. If we from -3 to the blue point that would be 1.

Answer:

To easily compare the two linear equations just by looking at the equation, let's rearrange this into the slope-intercept formula: y = mx + b, where m is the slope and b is the y-intercept.

2x - 5y = -25

(-5y = -25x - 2x)-1

5y = 25/5 +2x/5

y = (2/5)x + 5

Thus, the slope is 2/5 and the y-intercept is 5.

y=52x + 5

The slope is 52 and the y-intercept is 5.

Thus, we can say that the two linear equations have the same y-intercept. This is the point in the y=-axis in which the two lines intersect. They must intersect at (0,5).

Step-by-step explanation:

Answer: $15,660 & 32 v.c

Step-by-step explanation:

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let X denote the number of green candies.

The probability of green candies is, p = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

[tex]P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328[/tex]

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

                                       = 0.17228 + 0.17946 + 0.15328

                                       = 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

Answer:

it adds up to 180º so i think you have to do the varibles that are on the same side and see what you get and then do -8 +17 then you sub or add from 180 then you get your answer

Step-by-step explanation:

The value of x for the given vertical angles is given as 25.

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

The pair of vertical angles are given as below,

∠A = (7x - 8)°  and ∠B = (6x + 17)°.

Since, pair of vertically opposite angles are equal.

It implies that ∠A = ∠B.

⇒ 7x - 8 = 6x + 17

⇒ 7x - 6x = 17 + 8

⇒ x = 25

Hence, the value of x can be obtained as 25.

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Answer:

Single discount rates are one off discounts which are given by seller on certain products with certain conditions which most be met for it to apply such conditions can be for buyers who pay in cash, buyers who buy in bulks e.g buy 10 get one free, or for every 5 bought you get a 5% discount e.t.c.

This is related to chain discount because its also a series of discount which is allowed for list price of products or services.

Answer:

The Slope is -4

m = -4

Step-by-step explanation:

Hopefully this Helps! If this wasn't the answer you were looking for please don't hesitate to either comment here or private message me! Have a nice day/night! :))

Answer:

516

Step-by-step explanation:

add 25 and 18 and you get 43 students if you have to pay 12 for every student you'd have to multiply 43 × 12 = 516 so the trip would be 516 in total