The scale of a map is 2 cm: 21 km. Find the actual distance for 9cm on the map.

Answer:

y = - 3

Step-by-step explanation:

[tex]y = \frac{1}{4}x[/tex]

y = 0.25 · x

y = 0.25 · - 12

y = - 3

Answer: 33

Step-by-step explanation: When a tangent and radius intersect (as in the diagram) they will always be perpendicular. And using the Triangle Sum Theorem that all angles add up to 180 when get that m<BCA must be 33 degrees.

Answer: see below...

Step-by-step explanation:

Square units are when we are finding the surface area.

Since it is side x side, so ^2.

Cubic units are when we are finding the volume.

Since it is side x side x side, so ^3.

Answer:

I am almost postive it is B, D, E

Answer:

12

Step-by-step explanation:

A = [tex]\frac{a+b}{2\\}[/tex] h

= [tex]\frac{3+5}{2}[/tex] · 3

= 12 ft

I hope this help

Answer:

What type of line the picture represent

Answer:

true

true

false

Answer:

145

Step-by-step explanation:

So lets recall what a supplementary angle is. A suppelemenatry angle is  two angles that make up 180 degrees.(half circle)

This is different from a complenenary angle with is two angles that make up 90 degrees(quarter circle)

Ok, so we can write the equation for the supplementary angle as:

35+b=180

Lets subtract the angle we knwo from both sides:

b=145

Now we know that B(second angle) must be equal to 145 degrees.

Hope this helps!

Answer:

here are the cordinates you need to mark :

Step-by-step explanation:

(1,15) : 1x,15y

(2,20) : 2x,20y

(3,35) : 3x,35y

(4,45) : 4x,45y

(5,70) : 5x,70y

Hope this helps :)

Answer:

answer: 85

Step-by-step explanation:

These add up to 360 and

85 + 85 + 95 + 95 = 360 so 85 is the answer.

Hope that helps!

Answer:

B. f (4) = 4 · [tex]20^{3}[/tex]

Step-by-step explanation:

I did the quiz too

Answer:

Hello! if Chris garden is a square shape then the answer is 40 7/10 in fraction form or 40.7 in decimal form

Answer:

9. B 10. A 11. B 12. A

Step-by-step explanation:

use slope intercept form

Answer:

Pedro pagó $448

Step-by-step explanation:

Sea P el precio inicial de un objeto.

Si aplicamos un descuento del X%, entonces el nuevo precio del objeto es:

NP = P*(1 - X%/100%)

y lo que estamos ahorrando es:

P - NP

En este caso, primero tenemos un descuento del 30%, entonces:

NP = P*(1 - 30%/100%) = P*(1 - 0.3)

Luego tenemos otro descuento, esta vez del 20%, entonces:

NP' = NP*(1 - 20%/100%) = P*(1 - 0.3)*(1 - 20%/100%) = P*(1 - 0.3)*(1 - 0.2)

Lo que Pedro ahorra es igual a $352

entonces:

P - NP' = $352

P -  P*(1 - 0.3)*(1 - 0.2) = $352

P*(1 - (1 - 0.3)*(1 - 0.2)) = $352

P*(1 - 0.56) = $352

P = $352/(1 - 0.56) = $800

Esto significa que el precio original era $800.

Y lo que pedro pago esta dado por la ecuación:

NP' = P*(1 - 0.2)*(1 - 0.3) = $800*(1 - 0.2)*(1 - 0.3) = $448.

Answer:

B= 43

Step-by-step explanation:

B=19+(6)(4)

B=19+24

B=43

Answer:

The only true statement is:

"∠3 + ∠4 = ∠1 + ∠2"

Step-by-step explanation:

When we have two lines intersect each other, there are 4 angles generated in the intersection.

Two vertical angles are angles whose only "contact point" is the intersection itself. The vertical angles are supplementary only if the two lines are perpendicular.

While a linear pair are two angles that are separated by one of the lines, and linear pairs are always supplementary.

Now let's look at the image and see which statements are true and which ones aren't.

"∠2 and ∠3 form a linear pair"

If we look at the image, we can see that ∠2 and ∠3 are not separated by one of the lines, ∠2 and ∠3 are vertical angles, then this statement is false.

"∠1 and ∠4 are supplementary angles"

Two angles are supplementary if the sum of the measures is equal to 180°, such that, as stated before, a linear pair of angles are supplementary angles.

In the case of ∠1 and ∠4, we can see that these angles are vertical angles, and we also can see that the lines are not perpendicular, then angles ∠1 and ∠4 are not supplementary.

"∠2 and ∠3 = 180°"

This is the same as saying that "∠2 and ∠3 are supplementary"

By the exact same reasoning than in the previous statement, we can find that this one is false.

"∠3 + ∠4 = ∠1 + ∠2"

We know that ∠1 and ∠2 are a linear pair, then ∠1 and ∠2 are supplementary angles, then:

∠1 + ∠2 = 180°

And we know that ∠3 and ∠4 also are a linear pair, and then also are supplementary angles, then we also have:

∠3 + ∠4 = 180°

Then is true that:

∠3 + ∠4 = ∠1 + ∠2

This statement is true.

"∠2 and ∠4 are vertical angles"

We can see that ∠2 and ∠4 are separated by one of the lines, then these angles form a linear pair.

The statement is false.

Answer:

Step-by-step explanation:

As,

In it there are three different terms x, 4y and 7 hence a trinomial, then there is a constant term 7.

Answer:

C. x + 4y+ 7

Step-by-step explanation:

Ape-x

Answer:

1/192

Step-by-step explanation:

So, lets go over what we know:

There are 24 different sections on the circle.

3 of them are 500$.

1 of them are lose a turn.

Now, to find the answer, here is what we have to remember.

There are two different things you work with when solving this area of geometry.

"and" and "or"

When they say "or", you have two seperate chances, these chances need to be added together.

When they say "and", like in this question, you have two chances in the same thing. These chances need to be multiplyied together.

If this is a bit confusing, think of this another way:

When "or" = add one chance from the other.

In this case:

3/24 + 1/24=4/24.

However, "and" = multiply one chance by the other.

In this case:

3/24*1/24 = 3/576

This question is using "and". So our answer is:

3/576

This can be simplyfied as:

1/192

So this is our answer!

Hope this isnt to confusing and helps! :D

Answer:

shhdhd

Step-by-step explanation:

Oh wow great marks

Answer:

x=13

Step-by-step explanation:

18-5=13. You have to subtract 5 from 5 itself and then 18.

Answer:

12.327X + 452.084

45206.327

Step-by-step explanation:

The linear regression model obtained by fitting the data using technology is :

ŷ = 12.327X + 452.084

Where, 12.327 = slope ; 452.084 = Intercept ; X = appraised value ; y = Area

The estimated error variance which is the degree of variation between the actual and predicted value.

Error variance = ΣSSE /n-2

n = sample size = 15

ΣSSE = 587682.2638

Error variance = 587682.2638/13

Error variance = 45206.327

Answer:

[tex](a)\ (-7,-3)\ \&\ (7,-3)[/tex]

Step-by-step explanation:

Given

Options a, b and c

Required

Points that are reflections across y-axis

The rule of reflection across the y-axis is:

[tex](x,y) \to (-x,y)[/tex]

Testing the given options:

[tex](a)\ (-7,-3)\ \&\ (7,-3)[/tex]

Rule: [tex](x,y) \to (-x,y)[/tex]

[tex](-7,-3) \to (-(-7),-3)[/tex]

[tex](-7,-3) \to (7,-3)[/tex]

This is true, because the actual reflection equals the given reflection

[tex](b)\ (-5,4)\ \&\ (5,-4)[/tex]

Rule: [tex](x,y) \to (-x,y)[/tex]

[tex](-5,4) \to (-(-5),4)[/tex]

[tex](-5,4) \to (5,4)[/tex]

This is not true, because the actual reflection does not equal to the given reflection

[tex](c)\ (1,-8)\ \&\ (1,8)[/tex]

Rule: [tex](x,y) \to (-x,y)[/tex]

[tex](1,-8) \to (-1,-8)[/tex]

This is not true, because the actual reflection does not equal to the given reflection

Hence

[tex](a)\ (-7,-3)\ \&\ (7,-3)[/tex] is a reflection of each other across y axis

Answer:

slope: 4

Y-intercept: -7

Step-by-step explanation:

you would have to solve for y so you subtract the 7 on both sides. then it is in slope-intercept form which is y=mx+b where m is slope and b is the y-intercept. the slope would be 4 and the y-intercept would be -7

answer

the answer is is is option a 200

Answer:e

Step-by-step explanation:

-(5/3)=-5/3

Answer:

explain please

Step-by-step explanation:

Answer:

nose nada

Step-by-step explanation:

:c

Answer: It’s B.

Step-by-step explanation: Got it on edge

Answer:

Answer: It’s B.

Got it on edge

Step-by-step explanation:

Got it right on edge

Answer:

a. dS(t)/dt + [7S(t)/(300 - 5t)] = 1.2 with S(0) = 0.8

b. S(t) =   [tex]\frac{120e^{\frac{7t}{100} } }{7}[/tex]  -  16.34[tex]e^{-\frac{7t}{100}[/tex]

Step-by-step explanation:

a. Write an initial value problem for S(t), the amount of salt in the tank at time t. Do not solve the equation!!

The net mass flow rate of salt dS(t)/dt = mass flow in - mass flow out

mass flow in = concentration of flow in × flow rate in = 0.6 lb/gal × 2 gal/min = 1.2 lb/min

Let S(t) be the mass of salt in the tank at time, t. The concentration of salt in the tank at time, t, C(t) = S(t)/volume of tank at time t ,V

V = V₀ + (r - r')t where V₀ = initial volume of water in tank = 300 gal, r = volume flow rate in = 2 gal/min, r'= volume flow rate out = 7 gal/min and t = time

So, V = V₀ + (r - r')t

V = 300 + (2 - 7)t

V = 300 - 5t

So, C(t) = S(t)/V = S(t)/(300 - 5t) lb/gal

Now, mass flow rate out = concentration in tank × volume flow rate out = S(t)/(300 - 5t) lb/gal × 7 gal/min = 7S(t)/(300 - 5t) lb/min

So, dS(t)/dt = mass flow in - mass flow out

dS(t)/dt = 1.2 lb/min - 7S(t)/(300 - 5t) lb

dS(t)/dt = 1.2 - 7S(t)/(300 - 5t)

So, our differential equation is

dS(t)/dt + [7S(t)/(300 - 5t)] = 1.2 with S(0) = 0.8 since we initially have 0.8 lb of salt

b. Write an expression in terms of S for the amount of salt in the tank when the tank is one-quarter full.

When the tank is one-quarter full, V = volume of tank/4 = 400 gallons/4 = 100 gallons

We now solve our differential equation

dS(t)/dt + 7S(t)/100 = 1.2

Using the integrating factor method, I.F = [tex]e^{\int\limits{\frac{7}{100} \, dt } =[/tex]  [tex]e^{\frac{7t}{100} }[/tex]

[tex]e^{\frac{7t}{100}[/tex]dS(t)/dt +

d[[tex]e^{\frac{7t}{100}[/tex]S(t)]/dt = 1.2

d[[tex]e^{\frac{7t}{100}[/tex]S(t)] = [1.2

integrating both sides, we have

∫d[[tex]e^{\frac{7t}{100}[/tex]S(t)] = ∫[1.2

Let u = 7t/100. So, du/dt = 7/100 and dt = 100du/7

∫[1.2[tex]e^{\frac{7t}{100}[/tex]]dt = ∫[1.2 × 100[tex]e^{u}[/tex]]du/7 = (120/7)∫

[tex]e^{\frac{7t}{100}[/tex]S(t) =  [tex]\frac{120e^{\frac{7t}{100} } }{7}[/tex] + C

S(t) =   [tex]\frac{120e^{\frac{7t}{100} } }{7}[/tex] ÷ [tex]e^{\frac{7t}{100}[/tex]  +  [tex]e^{-\frac{7t}{100}[/tex]

S(t) =   [tex]\frac{120e^{\frac{7t}{100} } }{7}[/tex]  +  C[tex]e^{-\frac{7t}{100}[/tex]

From our initial condition, S(0) = 0.8. So,

S(0) =   [tex]\frac{120e^{\frac{7(0)}{100} } }{7}[/tex]  +  C[tex]e^{-\frac{7(0)}{100}[/tex]

S(0) =   [tex]\frac{120e^{\frac{0}{100} } }{7}[/tex]  +  C[tex]e^{-\frac{0}{100}[/tex]

S(0) =   [tex]\frac{120e^{0}}{7}[/tex]  +  C[tex]e^{0}[/tex]

0.8 =   [tex]\frac{120}{7}[/tex]   +  C

C = 0.8 - 120/7

C = 0.8 - 17.14

C = - 16.34

So,

S(t) =   [tex]\frac{120e^{\frac{7t}{100} } }{7}[/tex]  -  16.34[tex]e^{-\frac{7t}{100}[/tex]