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goblinko [34]
2 years ago
14

Solve this equation for x. Round your answer tothe nearest hundredth.7 = In(x + 5)​

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
3 0

Answer:

x ≈ 1091.63

Step-by-step explanation:

Using the rule of logarithms

log_{b} x = n ⇔ x = b^{n}

note that ln x is to the base e

Given

ln(x + 5) = 7, then

x + 5 = e^{7} ( subtract 5 from both sides )

x = e^{7} - 5 ≈ 1091.63 ( nearest hundredth )

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2. El
Mashcka [7]

Answer:

95

Step-by-step explanation:

step 1

Find out the total ball bearing ordered

Multiply the number of ball bearing boxes by the number of ball bearings in each box.

17(85)=1,445\ ball\ bearings

step 2

Find out the total springs ordered

Multiply the number of spring boxes by the number of springs in each box.

15(90)=1,350\ springs

step 3

To find out how many more ball bearings than  springs did they order, subtract the total number of springs from the total number of ball bearings

1,445-1,350=95

6 0
3 years ago
Write the equation of a line in slope-intercept form that passes through the given points.
ruslelena [56]

Answer:

<h2>         y = 0.25x + 2</h2>

Step-by-step explanation:

\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}

(0, 2)    ⇒     x₁ = 0,  y₁ = 2

(-4, 1)     ⇒     x₂ = -4,  y₂ = 1

So the slope:

\bold{m=\dfrac{1-2}{-4-0}=\dfrac{-1}{-4}=0.25}

The point-slope form of the equation of the line passing through point (x₀,y₀) and with slope m is:  y - y₀ = m(x - x₀)

m = 0.25

(0, 2)    ⇒     x₀ = 0,  y₀ = 2

Therefore:

               y - 2 = 0.25(x - 0)

               y - 2 = 0.25x                  {add 2 to both sides}

               y = 0.5x + 2          ←  the slope-intercept form of the equation

5 0
3 years ago
The mass of Hinto's math is 4,367 grams. What is the mass of 5 math books in kilograms?
suter [353]

Answer:

21.835 kilograms

Step-by-step explanation:

(4,367x5)/1000

7 0
3 years ago
A square stepping stone has a side length of 10 1/4 inches.
Svetach [21]

Area=2.5

Step-by-step explanation:

area

area = length \times width

area = 10 \times  \frac{1}{4}

8 0
3 years ago
Read 2 more answers
What is this math question answer 48=a+20
jeyben [28]

Answer:

a=28

Step-by-step explanation:

a+20=48

a=48-20

a=28

6 0
3 years ago
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