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Solve the proportion. 5/1=d/9 d=___

The solution is d = 45.

ANSWERED AT 17/10/2019 - 01:21 PM


QUESTION POSTED AT 17/10/2019 - 01:21 PM

Galina is finding the area of triangle RST. To do so, she follows the steps in the table. Step 1 Draw a rectangle around triangle RST. Step 2 Find the area of the rectangle. Step 3 Find the area of the three right triangles created by the sides of the rectangle and the intersection with each vertex of the triangle. Step 4 Subtract the area of the right triangles from the area of the rectangle. To solve the problem using these steps, what are the dimensions of the rectangle she should draw? A. 2 units by 4 units B. 3 units by 4 units C. 3 units by 5 units D. 4 units by 5 units (Dumb answers will be reported)

1 step: to draw a rectangle around triangle RST, you should

  • draw points A(-1,-1), B(-1,3) and C(2,3);
  • connect points A, B, C and T consecutively.

2 step: rectangle ABCT has length AB=4 units and width BC=3 units. Then

A_{ABCT}=4\cdot 3=12 sq. un.

3 step:

A_{\triangle ART}=\dfrac{1}{2}AR\cdot AT=\dfrac{1}{2}\cdot 2\cdot 3=3 sq. un.

A_{\triangle BRS}=\dfrac{1}{2}BR\cdot BS=\dfrac{1}{2}\cdot 2\cdot 2=2 sq. un.

A_{\triangle SCT}=\dfrac{1}{2}CS\cdot CT=\dfrac{1}{2}\cdot 1\cdot 4=2 sq. un.

4 step:

A_{\triangle RST}=A_{ABCT}-A_{\triangle ART}-A_{\triangle BRS}-A_{\triangle SCT}=12-3-2-2=5 sq. un.

Answer: in step two you write dimensions of rectangle ABCT: length 4 units and width 3 units. Correct choice is B.

ANSWERED AT 17/10/2019 - 01:21 PM


QUESTION POSTED AT 17/10/2019 - 01:21 PM

Multiply. x^2 + 8x + 15/x-4 x x^2-16/2x+6

To find the answer for this question: 

x^2 + 8x 15/x - 4xx^2 - 16/2x + 6 

Apply the exponent rule: 
x^2 + 8x + 15/x - 4x^3 - 16/2x + 6 

Divide the numbers: 16/2 = 8: 
x^2 + 8x + 15/x - 4x^3 - 8/x + 6 

Apply the rule: a/c +/- b/c = a +/- b/c 
x^2 + 8x + 15-8/x - 4x^3 + 6 

After you subtract the numbers: 15 - 8 from the fraction that equals to 7: 
x^2 + 8x + 7/x - 4x^3 + 6 

So, your answer would be: x^2 + 8x + 7/x - 4x^3 + 6. 

ANSWERED AT 17/10/2019 - 01:21 PM


QUESTION POSTED AT 17/10/2019 - 01:21 PM

The number of cars an American family owns follows the distribution below: Number of Cars 0 1 2 3 4 5 Probability 0.09 0.36 0.35 0.13 0.05 0.02 a) Verify that this is a legitimate probability distribution. b) Interpret (in words) the notation P(X > 2). c) Interpret (in words) the notation P(X = 2). d) Find P(X > 2).

Part A)

Add up the probability values to get:

0.09+0.36+0.35+0.13+0.05+0.02 = 1

since we get 1 as a result, this confirms we have a legitimate probability distribution. 

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Part B)

The notation P(X > 2) translates to "the probability that X is larger than 2". In this problem's context, it means "the probability of choosing a family that owns more than 2 cars"

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Part C)

P(X = 2) means "the probability that X is equal to 2"

Specifically for this problem it means "the probability of picking a family with exactly 2 cars". 

------------------------------------------------------------------------

Part D)

Let
A = probability that the family owns exactly 0 cars = 0.09
B = probability that the family owns exactly 1 cars = 0.36
C = probability that the family owns exactly 2 cars = 0.35
D = probability that the family owns exactly 3 cars = 0.13
E = probability that the family owns exactly 4 cars = 0.05
F = probability that the family owns exactly 5 cars = 0.02

Add up the probabilities D, E, and F to compute P(X > 2)

P(X > 2) = probability that the family owns more than 2 cars
P(X > 2) = D + E + F
P(X > 2) = 0.13+0.05+0.02
P(X > 2) = 0.2

ANSWERED AT 17/10/2019 - 01:21 PM


QUESTION POSTED AT 17/10/2019 - 01:21 PM

In the early 1900s what trend emerged concerning chemical weapon

Evolution of guns or you could say weapon technology

ANSWERED AT 17/10/2019 - 01:21 PM


QUESTION POSTED AT 17/10/2019 - 01:21 PM

Which was not an issue that led to the decline of the Roman Empire?

The last Roman empire was overthrown by the German leader who became the first Barbarian in Rome.

ANSWERED AT 17/10/2019 - 01:21 PM


QUESTION POSTED AT 17/10/2019 - 01:21 PM

A recipe calls for 32 fluid ounces of heavy cream. How many 1 pint containers of heavy cream are needed for the recipe?

There are 16 fluid ounces in 1 pint. Double that, and 32 fluid ounces = 2 pints.

ANSWERED AT 17/10/2019 - 01:21 PM


QUESTION POSTED AT 17/10/2019 - 01:21 PM

Solve the system of equations. 13x−y=90 y=x^2−x−42

Solve the first for y

y=13x-90 and the second is y=x^2-x-42

When there is/are solutions y=y so we can say:

x^2-x-42=13x-90  subtract 13x from both sides

x^2-14x-42=-90  add 90 to both sides

x^2-14x+48=0  expand so that it is easy to factor...

x^2-6x-8x+48=0 now factor 1st and 2nd pair of terms

x(x-6)-8(x-6)=0

(x-8)(x-6)=0

So there are two solutions, when x=6 and 8.

Using either original equation we can find the corresponding values for y.  I'll use y=13x-90 because it is easier...

y(6)=-12, y(8)=14  so the two solutions are the points:

(6,-12) and (8,14)


ANSWERED AT 17/10/2019 - 01:21 PM


QUESTION POSTED AT 17/10/2019 - 01:21 PM

Which is one of the guiding questions used to draw conclusions about a text?

What are the choices

ANSWERED AT 17/10/2019 - 01:21 PM


QUESTION POSTED AT 17/10/2019 - 01:21 PM

You can hear me, but can see me. i say the same thing, yet the words seem to bounce around. what am i

Are you an echo????????

ANSWERED AT 17/10/2019 - 01:21 PM


QUESTION POSTED AT 17/10/2019 - 01:21 PM

Choose the best response to the following question ¿ Qué tengo que hacer? A) abro la puerta B) Abre la puerta C) Abrimos la puerta D) Abres la puerta

It's A bc it's says I open the door or D bc it says I open the door idek but I hope this helped :) I speak Spanish but a and d are so similar and both make sense

ANSWERED AT 17/10/2019 - 01:21 PM


QUESTION POSTED AT 17/10/2019 - 01:21 PM

find the product (x + 3)(x + 2).

The correct answer is x^2+5x+6

ANSWERED AT 17/10/2019 - 01:21 PM


QUESTION POSTED AT 17/10/2019 - 01:21 PM

15x-5x=-47 solve by combining like terms and show all steps plz

You solve equations be isolating the variable you want to solve for. In this case x.
On the left-hand side of the equation, we have 15x - 5x. We can simplify it to 10x.

What we did is called combining like terms. To combine terms, they must have the same variable(s) and exponent. Even though no exponent was shown for either the 15x or 5x, it is implied they are 15x^1 - 5x^1

We don't show the exponent 1 because it doesn't change the value.

Now we have the equation 10x = -47

On the left-hand side, x is being multiplied by 10. We need to reverse the multiplication operation done to x to find the value of x.

What is the opposite of multiplication? Division!

So, just divide the left-hand side by 10.

But, wait! For everything we do on one side, we must also do on the left-hand side. This way, everything stays balanced.

10x / 10 = -47 / 10
x = -47/10

We can change the improper fraction -47/10 into a decimal.
Just divide the top by the bottom.

-47 / 10 = -4.7

So, x is equal to -4.7.


ANSWERED AT 17/10/2019 - 01:21 PM


QUESTION POSTED AT 17/10/2019 - 01:21 PM

What do you call somebody who studies the geography of the year

They would be called a 'Geographer' 

ANSWERED AT 17/10/2019 - 01:20 PM


QUESTION POSTED AT 17/10/2019 - 01:20 PM

Solve for x: −4|x + 5| = −16

−4|x + 5| = −16
÷-4 both sides
|x+5|=4
x+5=4
x+5=-4
-5 both sides in both equations
x=-1
x=-9

ANSWERED AT 17/10/2019 - 01:20 PM


QUESTION POSTED AT 17/10/2019 - 01:20 PM

Why was the invention of penicillin so important in the context of ww2

Penicillin was very important during WWll because it reduced the number of deaths and amputations. Penicillin treated life threatening diseases such as meningitis and pneumonia.


ANSWERED AT 17/10/2019 - 01:20 PM


QUESTION POSTED AT 17/10/2019 - 01:20 PM

Help me solve please 3^1-2x=4^x

\bf log_{{  a}}(xy)\implies log_{{  a}}(x)+log_{{  a}}(y)
\\ \quad \\
% Logarithm of exponentials
log_{{  a}}\left( x^{{  b}} \right)\implies {{  b}}\cdot  log_{{  a}}(x)
\\\\
-----------------------------\\\\

\bf 3^{1-2x}=4^x\implies 3\cdot 3^{-2x}=4^x\implies 3\cdot \cfrac{1}{(3^2)^x}=4^x
\\\\\\
\cfrac{3}{9^x}=4^x\implies 3=9^x\cdot 4^x\impliedby \textit{now taking logarithm}
\\\\\\
log(3)=log(9^x\cdot 4^x)\implies log(3)=log(9^x)+log(4^x)
\\\\\\
log(3)=xlog(9)+xlog(4)\impliedby \textit{common factor}
\\\\\\
log(3)=x[log(9)+log(4)]\implies \boxed{\cfrac{log(3)}{log(9)+log(4)}=x}

ANSWERED AT 17/10/2019 - 01:20 PM


QUESTION POSTED AT 17/10/2019 - 01:20 PM

19+n=30 plzz help plz plz plz whta is it

To solve one step equations, you need to first do the inverse of the operation. In your example, it's addition. So, subtract 19 from each side. You get the n by itself, and you are left with 11 on the other side. Therefore, n = 11.

ANSWERED AT 17/10/2019 - 01:20 PM


QUESTION POSTED AT 17/10/2019 - 01:20 PM

3x^2-5x-24 identify p and q

3x^2-5x-24=0

3x^2-5x=24

x^2-5x/3=8

x^2-5x/3+25/36=8+25/36

(x-5/6)^2=313/36

x-5/6=±√(313/36)

x=5/6±√(313/36)

x=(5±√313)/6

p=(5+√313)/6

q=(5-√313)/6

ANSWERED AT 17/10/2019 - 01:20 PM


QUESTION POSTED AT 17/10/2019 - 01:20 PM

On a certain map, 1/2 inch represents 75 miles. If the distance on this map is 2 1/4 inches, what is the actual distance between the two towns?

The actual distance between the two towns is 337 1/2 miles. 1/4 in is equal to 37.5 because 75 divided by 2 is 37.5 and half of 1/2 is 1/4. 2 1/4 divided by 1/4 is 9 and 37.5 times 9 is 337.5 or 337 1/2.

ANSWERED AT 17/10/2019 - 01:20 PM


QUESTION POSTED AT 17/10/2019 - 01:20 PM

Solve the proportion. 5/2=q/8 q=

5/2 = q/8
(5)*(8) = (2) * (q)
40= 2 q
40/2 = 2/2 q
20 = q
q = 20 

Hope It Helps You !!

ANSWERED AT 17/10/2019 - 01:20 PM


QUESTION POSTED AT 17/10/2019 - 01:20 PM

Identify whether the following is a simple sentence or a compound sentence. Ted cooked the dinner and Janet ate it.

This example is a compound sentence.

Compound sentences contain two or more independent clauses, in which each one possesses its own subject and verb. Each independent clause needs to have a complete meaning and must stand on its own. In this case, Ted cooked the dinner is an independent clause and Janet ate it is the other clause. They are joined by the coordinating conjunction and.  

ANSWERED AT 17/10/2019 - 01:20 PM


QUESTION POSTED AT 17/10/2019 - 01:20 PM

Why did US troops withdraw from Somalia?

US troops had been wounded or killed by rebels.

ANSWERED AT 17/10/2019 - 01:20 PM


QUESTION POSTED AT 17/10/2019 - 01:20 PM