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2 years ago

Mark all statements that are true . help !

Mathematics

1 answer:

sweet-ann [11.9K]2 years ago

8 0

Answer:

C D E

Step-by-step explanation:

They are the options that are clear enough

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Solve this equation for x. Round your answer to<br>the nearest hundredth.<br>7 = In(x + 5)<br>

oksian1 [2.3K]

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 )

3 0

2 years ago

A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t

xz_007 [3.2K]

Full Question

A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass—spring system is disturbed from its rest state by the force F (t) = 20 cos(8t). The force F (t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds.

Determine the spring constant k.

Answer:

Spring Constant = 1000Nm^-1

Step-by-step explanation:

Given

Mass = 10kg

Spring Extension = 9.8cm

Spring Constant K = Force/Extension

Force = Mass * Acceleration

Force = 10 * 9.8 = 9.8N

Spring Extension = 9.8 cm = 9.8 /100 = 0.098 m

Spring constant = 98 / 0.098

Spring Constant = 1000Nm^-1

3 0

2 years ago

What is the point slope equation of the line that passes through (9,-1) and has a slope of 5

Natalka [10]

Answer:

y=5x+46

Step-by-step explanation:

apply point

-1=5(9)+n

-1=45+n

n=-46

y=5x+46

7 0

2 years ago

Read 2 more answers

To convert temperatures from degrees Celsius to degrees Fahrenheit, you can use the function F(x)=95x+32 where x is the temperat

iogann1982 [59]

9514 1404 393

Answer:

F(x) = (9/5)x -459.67

Step-by-step explanation:

F(C(x)) = 9/5(x -273.15) +32

F(C(x)) = (9/5)x -459.67 . . . . . simplify

5 0

2 years ago

If one bag of grass seed will cover 225 square feet, what is the minimum number of bags the haney family will need to cover thei

Veronika [31]

Answer:

9 bags

Step-by-step explanation:

First we will need to calculate the area of their entire backyard, which has a shape of trapezium.

So the formula for the area of a trapezium is $A=\frac{(a+b)*h}{2}$

a and b are the lenghts of the parallel sides and h is the height.

From the picture $a=10*5=50\\b=9*5=45\\h=8*5=40$

Then we plug into our formula

$A=\frac{(a+b)*h}{2} =\frac{(50+45)*40}{2} = 1200$ square feet

To get the number of bags required we just simply divide the aree of their entire yard by the space that 1 bag covers. We get:

$\frac{1900}{225} =8.444...$ bags

This is more than 8 bags so they will need 9 bags to cover their entire yard.

8 0

2 years ago