Evaluate the expression.

Answer:

[tex]3.17 \times {10}^{ - 3} [/tex]

Step-by-step explanation:

First let's put the distance of Pluto in scientific notation:

3,670,000,000 = 3.67•10⁹

Now, to find the time you have to divide the distance by the speed, in this case is the distance from sun to Pluto, and the speed of light:

(1.17•10⁷)÷(3.67•10⁹) = 0.00317 minutes

Now put the result in scientific notation:

0.00317 = 3.17•10-³

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

let's solve for z :

Answer:

z = 2

Step-by-step explanation:

6(2 - 3) = 2(3z - 9)

12 - 18 = 6z - 18

12 = 6z

2 = z

Hopefully this helped!

Brainliest please?

Answer:

Problem 2: k = 3

Problem 4: NO SOLUTION

Step-by-step explanation:

Problem 2 work:

-4/3(12k + 27) = -57 - 9k

-16k - 36 = -57 - 9k    -ADD THE -9k TO ITSELF AND TO -16k-

-7k - 36 = -57     -ADD THE -36 TO ITSELF AND -57-

-7k = -21

k = 3

Problem 4 work:

5/2(6w - 16) = 18w -(3w + 40)

15w - 40 = 18w - 3w - 40    -ADD THE -3w TO THE 18w-

15w - 40 = 15w - 40

NO SOLUTION BECAUSE BOTH SIDES ARE THE SAME

Answer:

5;:':;;gighifighfutfdyfuhufgfyhxfkcy

Answer:

[tex]x=89[/tex]

Step-by-step explanation:

We can plug into the formula for the mean to get [tex](87+73+84+82+x)/5=83[/tex].

We can combine like terms on the left side to get [tex](326+x)/5=83[/tex].

We can multiply by [tex]5[/tex] on both sides to get [tex]326+x=415[/tex].

We can finally subtract [tex]326[/tex] from both sides to get [tex]x=89[/tex].

So, the answer is [tex]\boxed{x=89}[/tex] and we're done!

Answer:

As follows,

Step-by-step explanation:

You can solve these either by factoring or using the quadratic formula or other ways,

1. x^2+2x+1=0

Factoring,

(x+1)^2=0

x+1=0

x=-1

2.y^2-y-2=0

Using quadratic formula,

(-b±√(b^2-4ac))/2a

(--1±√(-1^2-4*1*-2))/2*1

(1±√(1+8))/2

(1±√(9))/2

(1±3)/2

y=(1±3)/2

y=(1+3)/2    y=(1-3)/2  

y=4/2          y=-2/2

y=2              y=-1

3.y^2+y+1=0

Using quadratic formula,

(-b±√(b^2-4ac))/2a

(-1±√(1^2-4*1*1))/2*1

(-1±√(1-4))/2

(-1±√(3))/2

No real roots

4. x^2+9x+18=0

Using quadratic formula,

(-9±√(9^2-4*1*18))/2*1

(-9±√(81-72))/2

(-9±√(9))/2

(-9±3)/2

x=(-9+3)/2  x= (-9-3)/2

x=-6/2         x=-12/2

x=-3           x=-6

5.x^2+5x+6=0

Using quadratic formula,

(-5±√(b^2-4ac))/2a

(-5±√(5^2-4*1*6))/2*1

(-5±√(25-24)/2

(-5±1)/2

x=(-5+1)/2  x=(-5-1)/2

x=-4/2       x=-6/2

x=-2         x=-3

6. 3n^2-13n-10=0

Using quadratic formula,

(-b±√(b^2-4ac))/2a

(-(-13)±√(-13^2-4*3*(-10)))/2*3

(13±√(169-(-120))/6

(13±√289)/6

The discriminant b^2−4ac>0

So there are 2 real roots.

x=(13±17)/6

x=30/6 or x=-4/6

x=5 or x=-2/3

Answer:

10 yd, because you subtract 15 to 5.

Answer:

Yes you are correct

Step-by-step explanation:

Answer:

$200

Step-by-step explanation:

First, find the unit rate:

12/3= 4

Then multiply:

4*50= 200

Hope this helps!

9514 1404 393

Answer:

  B. (the correct choice is marked)

Step-by-step explanation:

The value of the function for a given x is the vertical position of the point on the graph. Adding 6 to the function value shifts the graph up 6 units.

The graph of G(x) is the graph of F(x) shifted 6 units up.

Answer:

45∘

Step-by-step explanation:

So, the reference angle is 360∘−315∘=45∘

Hope this helps! :D

Answer:

x = 50

Step-by-step explanation:

→ Make the equations equal to each other

2 ( x + 10 ) = 3x - 30

→ Expand brackets

2x + 20 = 3x - 30

→ Minus 3x from both sides

-x + 20 = -30

→ Minus 20 from both sides

-x = -50

Opposite angles are equal

[tex]\\ \sf\longmapsto 2(x+10)=3x-30[/tex]

[tex]\\ \sf\longmapsto 2x+20=3x-30[/tex]

[tex]\\ \sf\longmapsto 3x-2x=30+20[/tex]

[tex]\\ \sf\longmapsto x=50[/tex]

Answer:

D

Step-by-step explanation:

open circle cause there is no line under the sign and the sign points left

6 14 miles in 5 days.

In 1 day Tom rides 6 14/5 = 1 228 miles

1 week has 7 days

5 weeks have 35 days

1 day Tom rides 1 228 miles

35 days Tom rides for 1 228 * 35 = 42 98miles.

Answer:

The simplest form is 3/4

Step-by-step explanation:

Cancel the common factor of 30 and 40

Write the Fraction in Simplest Form Of 30/40

Answer: B

Step-by-step explanation: Hope this helps!

he got a one time thing of 75 coins and now gets 20 coins for each month which explains 20x. (X being the number of months)

The equation that could be used for determining the y should be option B y = 20x + 75

Since dad gave him 75 coins. each month he will add 20 coins.

Here we assume a number of months be x

So, the equation is

y = 20x + 75

Therefore, we can conclude that The equation that could be used for determining the y should be option B y = 20x + 75

learn more about an equation here: https://brainly.com/question/24271130

Answer:

a. y=4

b. graph the given and y=4

Step-by-step explanation:

The given is y= 8 sin(x) cos(x)

to get y' which is the slope of the tangent line we take the derivative

for this problem, the derivative involves the constant rule (which states that the derivative a constant times a value is just the constant times the derivative of said value) and the multiplication rule (assuming that the two parts in question are represented by the variables a and b then the derivative of a*b = a*b'+b*a')

thus we get 8*(sin(x)*-sin(x)+cos(x)*cos(x))

-8sin^2(x)+8cos^2(x)

You can also leave the 8 differentiated out depending on the form you need.

Now that we have the derivative we can plug pi/4 into this equation to get the slope of the tangent line at that point

=8sin^2(pi/4)+8cos^2(pi/4)

this would equal -8*1/2 +8*1/2 which equals 0

the slope of the tangent at this point would be zero

To get the point for point slope form we plug the pi/4 into the given equation to get a y value and get the point (pi/4, 4)

this means the point slope equation would be

y-4=0(x-pi/4)

y-4=0

y=4

To graph you would just enter the given equation and the equation for the tangent line into a graphing software or calculator and see if the line is tangent at the point (pi/4, 4)

Answer:

5.6miles

Step-by-step explanation:

find Jenny's speed per minute,

ie distance/time

[tex]\frac{7}{80} miles \: per \: minute[/tex]

find the distance travelled by multiplying the speed by the time

[

[tex] \frac{7}{80} \times 64 = \frac{56}{10} \\ = 5.6[/tex]

Answer:

2.12

Step-by-step explanation:

I did the maths equation

Answer:

2.12 liters in each jar

Step-by-step explanation:

Take the total amount of juice and divide it by the number of jars

14.84 liters / 7 jars

2.12 liters in each jar

Answer:

T<2 its the answers

Your welcome

Answer:

d = 16.88

Step-by-step explanation:

Start by simplifying both sides of the equation then isolate the variable

Using concepts of quadratic equation, we have that:

a) The age of unmarried women with the highest birth rate 29 years.

b) The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

c) B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

The birth-rate for women of age a is given by:

[tex]B(a) = -0.33a^2 + 19.17a - 213.37[/tex]

Which is a quadratic equation with coefficients [tex]a = -0.33, b = 19.17, c = -213.37[/tex]

Item a:

The age with the highest value is the a-value for the vertex, which is:

[tex]a_V = -\frac{b}{2a} = -\frac{19.17}{2(-0.33)} = 29[/tex]

The age of unmarried women with the highest birth rate 29 years.

Item b:

The rate is B(29), which is:

[tex]B(29) = -0.33(29)^2 + 19.17(29) - 213.37 = 65[/tex]

The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

Item c:

[tex]B(40) = -0.33(40)^2 + 19.17(40) - 213.37 = 25.43[/tex]

B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

A similar problem is given at https://brainly.com/question/24626341

Answer:

x=7

Step-by-step explanation:

Answer:

1. 18

2. 15

3. Symmetric Property

Step-by-step explanation:

1. 8 + 10 = 18

2. Following symmetric prop. of eq. would mean that since 8 + 10 = 15 + 3 and 8 + 10 = 18, 15 + 3 = 18 as well

3. Symmetric Property of Equality states that if a = b, then b = a

Answer:

16.94 cm

Step-by-step explanation: