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Answer:

L = 31.5

w = (4/7)31.5 = 18

p = 2 * 31.5 + 2 * 18

A = 31.5 * 18

Step-by-step explanation:

Yw

Step-by-step explanation:

Given the logarithmic expression:

[tex]3log_{5}2 + log_{5}x = log_{5}24[/tex]

Using the Logarithmic Product Rule:

[tex]log_{a}x + log_{a}y = log_{a}(xy)[/tex]

And the Logartihmic Power Rule:

[tex]log_{a}x^{y} = ylog_{a}x[/tex]

Rewriting your given logarithmic expression by applying the power rule:  

[tex]log_{5}2^{3} + log_{5}x = log_{5}24[/tex]

I will use the following logarithmic property to cancel out the logarithmic expressions, which will show why x = 3.

    [tex]_{b}log_{b}x = x[/tex]

Raise each logarithmic expression by the same value as the base, 5:  

[tex](_{5}log_{5}2^{3} ) + (_{5}log_{5}x )= (_{5}log_{5}24)[/tex]

2³(x) = 24  (2³ is multiplied with x instead of addition because of the Product Rule).  

Now that you're left with just 2³(x) = 24, it's easy to see why the answer is x = 3:

2³(x) = 24

8x = 24

Divide both sides by 8:

8x/8 = 24/8

x = 3

Answer:

194

Step-by-step explanation:

because no one else is above 100

Answer:

Divide each term in 6x=−7 by 6 and simplify.

Step-by-step explanation:

Exact Form:

x=−7/6

Decimal Form:

x=−1.1¯6

Mixed Number Form:

x=−1 1/6

Answer:

x = - 7/6

Step-by-step explanation:

First, divide both sides of the equation by the same term:

6x = - 7

6x/6 = -7/6

Then simplifly and you'll get your answer! ( I won't show how to simplify but if you want to know tell me!)

x = - 7/6

Answer:

x-int = 4.5

y-int = -1

Answer:

$5,172.93

Step-by-step explanation:

We're gonna use the simple interest formula: P = A(1 + r(t))

P = final amount

A = starting amount (4,678)

r = rate (0.073)

t = years (529/365)

P = 4,678(1 + 0.073(529/365))

P = 5,172.9324

Answer:

Step-by-step explanation:

Rewrite all the equations in standard form of y=mx+b

1. Parallel: They have the same slope of -(3/5)

2. Neither

3. Neither

Answer:

19°

Step-by-step explanation:

180-64=116

116+45=161

180-161=19

Answer:

B) 19

Step-by-step explanation:

find the other angle of W first.

to do that, take 180 - 64

that makes angle W 116

add angle W and angle Y

116 +45 = 161

take 180 - your answer

180 - 161 = 19

B is your answer

have a wonderful day <3

Answer:

x = -5

Step-by-step explanation:

x = -5 because a horizontal line does not change in y value

Horizontal line that goes through the point V(-5,17) is y=17.

The horizontal line that passing through any point (a,b) is y=b

So the horizontal line passing through the point is y=17

Learn more:https://brainly.com/question/11682722

Answer:

I don't know I'm sorry man!

Answer: Solution In Photo

Answer:

Step-by-step explanation:

Use the points:

The y- intercept is  - 4 and the slope is:

The line is:

Correct choice is D

Answer:

are you doing mathematical models a too?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total number of tickets:

Number of slushie or an ice cream sundae prize tickets:

Probability of drawing a slushie or an ice cream sundae prize ticket:

Predicted number of times a slushie or an ice cream sundae prize ticket will be drawn:

Answer:

(-1, 4)

Step-by-step explanation:

Use of the coordinate plane.

The vertex of the parabola is 1 to the left and up 4.

Think of the vertex as where the curve starts.

Answer:

-3 and 1

Step-by-step explanation:

Hello!

The roots of the parabola are the intersections of the graph and the x-axis (y = 0).

Since the graph's vertex is above the x-axis and opens down, the graph has two roots.

The points of intersection are:

Therefore, the roots of the parabola are -3 and 1.

Answer:

the answer is 30°

.........

.........

Answer:

It will take 30 days to reach the top of the 30-foot deep pipe.

Step-by-step explanation:

Let's track Sam Snail's movement each day:

Day 1 -

0 + 3 - 2 = 1

Day 2 -

1 + 3 - 2 = 2

Day 3 -

2 + 3 - 2 = 3

Day 4 -

3 + 3 - 2 = 4

Day ...

We can see that the day always matches up with the height on the pipe. This means for the snail to have traveled 30 feet, he needs to have spent 30 days with a constant rate of movement.

Hope this helps!

Answer:

136°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Sum the given angles and equate to 360

x + x - 10 + x + 30 + 2x = 360 , simplify left side

5x + 20 = 360 ( subtract 20 from both sides )

5x = 340 ( divide both sides by 5 )

x = 68

Then

largest angle = 2x = 2 × 68 = 136°

Answer:

The 3 one is 2 and the forth one is 10

Step-by-step explanation:

i did the math

Answer:

2 miles; 10 miles

Step-by-step explanation:

For a distance of 3,520 yards...

3,520 = 1,760m

Divide both side by 1,760

m = 2 miles

For a distance of 17,600 yards...

17,600 = 1,760m

Divide both sides by 1,760

m = 10 miles

Answer:

a. substracting...................

Answer:  

W equals 31.17

Step-by-step explanation:

Step-by-step explanation:

31.25%

1050-800=250

250/800=0.3125

0.3125×100=31.25%

Answer:

129.1 inches

Step-by-step explanation:

Recall that 2.54 cm = 1 in.

Write 328 cm and recognize that we need to convert this to inches:

328 cm      i in

------------ * ------------- = 129.1 inches

      1          2.54 cm

Step-by-step explanation:

the midpoint is(4,1)

that is the answer

Answer:

(4, 1 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = P (6, 6 ) and (x₂, y₂ ) = Q (2, - 4 ) , then

midpoint = ( [tex]\frac{6+2}{2}[/tex] , [tex]\frac{6-4}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex] , [tex]\frac{2}{2}[/tex] ) = (4 , 1 )

Answer:

Step-by-step explanation:

Company A Total Cost:  Ca = $74

Company B Total Cost:  Cb = $65+$0.60m, where m is the miles driven.

We want to find for what values of m with Company A charge less than Company B:

Ca < Cb  ?

$74 < $65 + $0.60m

$9 < $0.60m

15 < m

m > 15 miles

Company A will cost less than Company B when less than 15 miles are driven.  The costs are the same for 15 miles and higher for Company B beyond 15 miles.

Answer:

(- 2, 4 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = - 3(x + 2) ← is in point- slope form

with (a, b ) = (- 2, 4 )