Hawaii has an area of 1.1 x 104 square miles and a
population of 1.2 x 10% people.
Which key strokes on a calculator will give the population
density of Hawaii?

Answer:

S6tep-by-step explanation:

4^(11+8) = 4^19 is the solution

Answer:

96,220

Step-by-step explanation:

187,400 x .3 (30%)= 56,220

56220+40000= *96,220

Answer:

96,220

Step-by-step explanation:

187,400 x 0.3 = 56,220

56220+40000= 96,220

hope this helps, have a great day :)

Answer:

Graph (B)

Step-by-step explanation:

For x < 3,

An arrow starting with a hollow circle at x = 3 and heading towards 0 will represent the given inequality on a number line.

Similarly, x ≥ 5,

An arrow starting with a dark circle at x = 5 and heading towards 12 will represent the given inequality on a number line.

When we combine these inequalities on a number line, Graph (B) will be the answer.

Answer:

The answer is d

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Well see how far each points are from each other.

Start at the red triangle and go up 1, go to the right 4.

Thus,

the rise/run is 1/4.

Hope this helps :)

Answer:

1/4

Step-by-step explanation:

To find the rise/run, you first need to pick two points from the line.  You can pick whichever points you want, and you will get the right answer.  I will pick (-8, -3) and (8, 1).

Divide the difference of the y's by the difference of the x's.

-3 - 1 = -4

-8 - 8 = -16

-4/-16 = 1/4

The rise/run is 1/4.

Answer:

Area of the triangle = 0

Step-by-step explanation:

We are given the vertices of a triangle as: (- 8,4 ), (- 6,6), (- 3,9)​

The formula to find the Area of the triangle =

1/2[ x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]

Where :

(x₁, y₁) =  (- 8,4 )

(x₂, y₂) = (- 6,6)

(x₃, y₃) =  (- 3,9)

Area of the triangle = 1/2[-8(6 - 9) + -6(9 - 4) + -3(4 - 6)]

= 1/2[ (-8 × -3) +( -6 × 5) +( -3× -2)]

= 1/2[ 24 - 30 + 6)

= 1/2[ 24 + 6 - 30]

= 1/2 [30 - 30]

=1/2[ 0 ]

= 0

Therefore, the area of triangle whose vertices are (- 8,4 ), (- 6,6) and (- 3,9)​ is ZERO( = 0 )

Answer:

[tex]\boxed{ x = 23}[/tex]

Step-by-step explanation:

=> x - 15 = 8

Adding 15 to both sides

=> x - 15 + 15 = 8 + 15

=> x = 23

Answer:

A. x = 23

Step-by-step explanation:

Step 1: Write out equation

x - 15 = 8

Step 2: Add 15 to both sides (Addition Equality)

x - 15 + 15 = 8 + 15

x = 23

Answer:

3^6-4x=3^3x-3

Step-by-step explanation:

9^3-2x = 27^x-1  ( 9 is 3² and 27 is 3³)

(3²)^3-2x= (3³)^x-1    in case of exponential between brackets , multiply the exponents.

3^6-4x=3^3x-3

Answer:

x = 9/7

Step-by-step explanation:

9^3-2x = 27^x-1

(3^2)^3-2x = (3^3)^x-1

3^2(3-2x) = 3^3(x-1)

2(3-2x) = 3(x-1)

2(-2x+3) = 3x - 3

-4x + 6 = 3x - 3

-4x = 3x - 9

-7x = -9

x = -9/-7

x = 9/7

Answer:

The answer is: 13 minutes

Step-by-step explanation:

First Let us form equations with the statements in the two scenario

[tex]time=\frac{distance}{speed}[/tex]

Let the time in which the bell rings be 'x'

1. If Andrew walks (50 meters/minute), he arrives 3 minutes after the bell rings. Therefore the time of arrival at this speed = (3 + x) minutes

[tex]3 + x =\frac{distance}{50}\\distance = 50(3+x) - - - - - (1)[/tex]

2. If Andrew runs (80 meters/minute), he arrives 3 minutes before the bell rings. Therefore the time taken to travel the distance = (x - 3) minutes

[tex]x - 3 = \frac{distance}{80} \\distance = 80(x-3) - - - - - (2)[/tex]

In both cases, the same distance is travelled, therefore, equation (1) = equation (2)

[tex]50(3+x)=80(x-3)[/tex]

[tex]150 +50x=80x-240\\[/tex]

Next, collecting like terms:

[tex]150 + 240 = 80x - 50x\\390 = 30x\\30x = 390\\[/tex]

dividing both sides by 3:

x =  390÷30 = 13

∴ x = 13 minutes

Answer:

Slope = m = -5/2

Y-intercept = b = -3

Step-by-step explanation:

[tex]-5x-2y = -6[/tex]

Getting it in a slope - intercept form:

[tex]-2y = 5x+6\\Dividing \ both \ sides \ by \ -2\\y = \frac{-5x}{2} + (-3)\\y = \frac{-5x}{2} -3\\[/tex]

Comparing it wit the slope intercept equation [tex]y = mx+b[/tex] we get

Slope = m = -5/2

Y-intercept = b = -3

Answer:

k= l/3 - 14/3j

Step-by-step explanation:

l = 14j + 3k

Solve for k

l = 14j + 3k

Subtract 14j from both sides

l - 14j =14j + 3k - 14j

l - 14j = 3k

Divide both sides by 3

l - 14j / 3=3k / 3

k= l/3 - 14/3j

Or

1/3(l - 14j) = k

Answer:

Which expression is equivalent to ‐10

k

‐

10

?

Step-by-step explanation:

Answer:

a) Multiplica la variable independiente por -7 y luego resta 7

Step-by-step explanation:

Sea [tex]f(x) = -7\cdot x - 7[/tex], las acciones realizadas por la función sobre la variable independiente, esto es, [tex]x[/tex], son:

1) Multiplica la variable por 7.

2) Refleja el resultado anterior con eje de simetría en el eje x. (Multiplicación por -1).

3) Traslada vertical el resultado de 2) siete unidades en la dirección -y.

Por ende, la opción correcta es a).

Answer: A. y-In x-3

explanation:

Answer:

1225

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

The answer is option A.

Step-by-step explanation:

The steps are :

[tex]x + y = 8 - - - (1)[/tex]

[tex]x - y = 6 - - - (2)[/tex]

[tex](1) - (2)[/tex]

[tex]x + y - x - ( - y) = 8 - 6[/tex]

[tex]2y = 2[/tex]

[tex]y = 1[/tex]

[tex]substitute \: y = 1 \: into \: (1)[/tex]

[tex]x + 1 = 8[/tex]

[tex]x = 7[/tex]

Answer:

C

Step-by-step explanation:

Before expressing as a ratio the quantities must have the same denomination

$2 = 200 cents, thus

40 cents : $2

= 40 cents : 200 cents ( divide both parts by 40 )

= 1 : 5 → C

Answer:

a

Step-by-step explanation:

The standard form of the equation of a circle is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (0, 0), thus

(x - 0)² + (y - 0)² = r², that is

x² + y² = r² → a

Answer:

3x√5 + 6√10x + 5√3x + 10√6

Step-by-step explanation:

(√3x + √5)(√15x + 2√30)

The above expression can be evaluated as follow:

(√3x + √5)(√15x + 2√30)

Expand

√3x (√15x + 2√30) + √5(√15x + 2√30)

x√45 + 2√90x + √75x + 2√150

Express in the best possible surd form.

x•3√5 + 2•3√10x + 5√3x + 2•5√6

3x√5 + 6√10x + 5√3x + 10√6

We can not simplify further.

Therefore,

(√3x + √5)(√15x + 2√30) =

3x√5 + 6√10x + 5√3x + 10√6

Answer:

[tex]\large \boxed{\sf \ \ \ p=-11 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]\alpha \text{ and } \beta \text{ are the roots of the following equation}[/tex]

   [tex]2x^2+6x-7=p[/tex]

It means that

   [tex]2\alpha^2+6\alpha-7=p \\\\2\beta ^2+6\beta -7=p \\\\[/tex]

And we know that

[tex]\alpha= 2\cdot \beta[/tex]

So we got two equations

   [tex]2(2\beta)^2+6\cdot 2 \cdot \beta -7=p \\\\<=>8\beta^2+12\beta -7=p\\\\ and \ 2\beta ^2+6\beta -7=p \ So \\\\\\8\beta^2+12\beta -7 = 2\beta ^2+6\beta -7\\\\<=>6\beta^2+6\beta =0\\\\<=>\beta(\beta+1)=0\\\\<=> \beta =0 \ or \ \beta=-1[/tex]

For [tex]\beta =0, \ \ \alpha =0, \ \ p = -7[/tex]

For [tex]\beta =-1, \ \ \alpha =-2, \ \ p= 2-6-7=-11, \ p=2*4-12-7=-11[/tex]

I assume that we are after two different roots so the solution for p is p=-11

b) [tex]\alpha +2 =-2+2=0 \ and \ \beta+2=-1+2=1[/tex]

So a quadratic equation with the expected roots  is

[tex]x(x-1)=x^2-x[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer: A) 18(1.15)x

Step-by-step explanation:

18 was the original cost, so the price will always be determined with this starting point. Sice there is an increasing value, that makes it 1.15 instead of .15. And it goes up by 15%, making it the coefficient.

Answer:

A) y = 18(1.15)x

Step-by-step explanation:

Answer:

The bigger avocado will be a better deal if the ratio of the sizes of the bigger one to the smaller one is less than the ratio of the prices of the bigger one to the smaller one.

Step-by-step explanation:

Given that two sizea of avocados are being sold, since the regular size is being sold for $0.84 each, let the price for the bigger avocado be $x.

Then note the following:

1. How bigger than the smaller avocado is the bigger one?

This would determine if the price for the bigger one is a bargain, or a mistake.

If for instance, the bigger avocado is double the size of the smaller one, then for any price, $x less that $1.68 (twice of $0.84), it is a bargain.

The bigger avocado will be a better deal if the ratio of the sizes bigger one to the smaller one is less than the ratio of the prices of the bigger one to the smaller one.

Answer:

The better deal cannot be decided as we were not the weights of the 2 avocados. However, we assume they are x is the price of the larger avocado and y the weight of the larger avocado. Therefore we calculate the price per pound of the larger avocado which is x/y. The weight of the smaller avocado is called z while the price od the smaller / regular avocado is $0.84.The price per pound of the smaller / regular avocado is calculated as 0.84/z. Therefore x/y<0.84/z will make buying the longer avocado a better deal. Also, x/y>0.84/z will make buying the smaller/ regular avocado a better deal.

Step-by-step explanation:

The better deal cannot be decided as we were not the weights of the 2 avocados. However, we assume they are x is the price of the larger avocado and y the weight of the larger avocado. Therefore we calculate the price per pound of the larger avocado which is x/y. The weight of the smaller avocado is called z while the price od the smaller / regular avocado is $0.84.The price per pound of the smaller / regular avocado is calculated as 0.84/z. Therefore x/y<0.84/z will make buying the longer avocado a better deal. Also, x/y>0.84/z will make buying the smaller/ regular avocado a better deal.

Answer:

88

Step-by-step explanation:

The original number ⇒ 100

100 is increased by 10%

The result is 20% reduced.

Calculate increase.

100 × (1 + 10%)

100 × (1.1)

= 110

Calculate decrease.

110 × (1 - 20%)

110 × 0.8

= 88

Answer: THE ANSWER IS A

Step-by-step explanation:

5-(3/2)^3

=13/8

im a math god

Answer:

(C) 1809 in.2

Step-by-step explanation:

Took the test on edg :3

Answer:  A) 3.2 ft

Step-by-step explanation:

f(4) = -0.3(4)² + 2(4)

     = -4.8 + 8

     =  3.2

Answer:

3.2 feet

Step-by-step explanation:

Answer:

1) [tex]\boxed{Option \ 3}[/tex]

2) [tex]\boxed{Option \ 2}[/tex]

Step-by-step explanation:

A) [tex]x^2-5x+6[/tex]

Using mid term break formula

[tex]x^2-6x+x-6\\x(x-6)+1(x-6)\\Taking \ (x+6) \ as \ common\\(x-6)(x+1)[/tex]

B) [tex]\frac{-20p^{-5}qr^6}{16p^{-2}q^{-3}r^4}[/tex]

Solving it using the two rules: => [tex]\frac{a^m}{a^n} = a^{m-n} \ and \ a^m * a^n = a^{m+n}[/tex]

=> [tex]\frac{-5p^{-3}q^4r^2}{4}[/tex]

We need to put p in the denominator to cancel its negative sign

=> [tex]\frac{-5q^4r^2}{4p^3}[/tex]

Answer:

C and b

Step-by-step explanation:

First question:

The polynomial expression we want to factor is x^2-5x-6

Let's calculate the discriminant to find the roots. The discrminant is b^2-4ac

● b= -5

● a = 1

● c = -6

b^2-4ac= (-5)^2-4*1*(-6) = 25+24 = 49>0

So this polynomial expression has two roots since the discriminant is positive

Let x" and x' be the roots:

● x'= (-b-7)/2a = (5-7)/2= -1

● x"= (-b+7)/2a = (5+7)/2 =6

7 is the root square of the discrminant

The factorization of this pulynomial is:

● a(x - x') (x-x")

● 1*(x-(-1)) (x-6)

● (x+1)(x-6)

So the right answer is c

■■■■■■■■■■■■■■■■■■■■■■■■

Second question:

The expression is: (-20*p^(-5)*q*r^(6))/(16*p^(-2)*q^(-3)*r^3)

To make it easier we will simplify the similar terms one by one.

● Constant terms

-20/16 = (-5*4)/(4*4) = -5/4

● terms containing p

-p^(-5)/p^(-2) = p^(-5-(-2)) = p^(-3) =1/p^3

● terms containg q

q/q^(-3)= q(1-(-3)) = q^4

● terms containg r

r^6/r^4 = r^(6-4) = r^2

Multiply all terms together:

● -5/4 *1/p^3 *q^4 *r^2

● (-5*q^4*r^2)/(4p^3)

The right answer is b

Answer:

The divisor and dividend have the same signs.

Step-by-step explanation:

Let's look at all of the possible outcomes of dividing with different signs.

Positive / positive = positive

Positive / negative = negative

Negative / positive = negative

Negative / negative = positive

We can see that whenever the signs are the same, the quotient is positive.

Answer:

72%

Step-by-step explanation:

First find the number of mangoes

200 -56 = 144

Take the number of mangoes over the total

144/200

.72

Change to percent by multiplying by 100

72%

Answer:

72%

Step-by-step explanation:

If 56 of the 200 fruits were durians, then [tex]200-56[/tex] of the fruits were mangoes. Therefore, 144 of the fruits were mangoes.

Now we can set up a percentage proportion to find what percent of 200 144 is.

[tex]\frac{144}{200} = \frac{x}{100}[/tex]

Multiply the cross values and divide by the value thats diagonal to the variable.

[tex]144\cdot100=14400\\14400\div200=72[/tex]

So, the answer is 72%

Hope this helped!

Answer:

a

Step-by-step explanation:

there are 4 quarts in a gallon.

4 times $0.79 =$3.16

Answer:

  60°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between sides of a right triangle and angles.

  Tan = Opposite/Adjacent

  tan(T) = SU/ST

  tan(T) = (5√51)/(5√17) = √3

Now, the arctangent function is used to find the angle whose tangent is √3.

 T = arctan(√3) = 60°