7. If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is?​

Answers

Answer 1

(0.2)x = 2.

Taking log on both sides

log (0.2)x = log 2.

x log (0.2) = 0.3010, [since log 2 = 0.3010].

x log (2/10) = 0.3010.

x [log 2 - log 10] = 0.3010.

x [log 2 - 1] = 0.3010,[since log 10=1].

x[-0.699] = 0.3010.

x= 0.3010/-0.699.

x= = -0.4306….

x= = -0.4.

Answer 2

(0.2)x = 2.

Taking log on both sides

log (0.2)x = log 2.

x log (0.2) = 0.3010, [since log 2 = 0.3010].

x log (2/10) = 0.3010.

x [log 2 - log 10] = 0.3010.

x [log 2 - 1] = 0.3010,[since log 10=1].

x[-0.699] = 0.3010.

x = 0.3010/-0.699

x = -0.4306

x= -0.4 (nearest tenth)


Related Questions

Q. Solve using the quadratic formula x2 + 4x – 16 = 0 ?
-
answer choices
2 + 25
A
B 2 + 4V5
C -2 + 275
D -2 + 4V5

Answers

Answer:

Step-by-step explanation:

ax² + bx + c = 0

[tex]x_{1}[/tex] = [tex]\frac{-b - \sqrt{b^2 -4ac} }{2a}[/tex]

[tex]x_{2}[/tex] = [tex]\frac{-b+\sqrt{b^2 -4ac} }{2a}[/tex]

~~~~~~~~~~~~~~~~~~~

x² + 4x - 16 = 0

a = 1 , b = 4 , c = - 16

[tex]x_{1}[/tex] = ( - 4 - [tex]\sqrt{16+64}[/tex] ) ÷ 2 = - 2 - 4√5

[tex]x_{2}[/tex] = - 2 + 4√5

What is the length of segment NS?

1 unit
2 units
4 units
6 units

Answers

Answer:

4 units yan po sana makatulong

What is 34107.12 to the nearest half centimeters? 

Answers

Answer:

34107cm

Step-by-step explanation:

ASAP PLEASE
Which statement below compares the decimals correctly?
NO LINKS PLEASE
A. 0.94 = 0.74
B. 0.74 > 0.94
C. 0.94 < 0.74
D. 0.74 < 0.94

Answers

Answer:

D. 0.74 < 0.94

Step-by-step explanation:

0.74 is less than 0.94 because 7 is less than 9. Plus that's just how math works

Help???? i’m not good w Algebra

Answers

Answer:

Answer A

Step-by-step explanation:

All equations except A end up as no solutions when put in an Algebra calculator

Which graph represents the parametric equations x(t) = t – 4 and y(t) = t2 + 5 for –1 ≤ t ≤ 2?

Answers

Which graph indeed?

Eliminate the parameter:

x = t - 4   ⇒   t = x + 4

⇒   y = t² + 5 = (x + 4)² + 5

which is the equation of a parabola with vertex at (-4, 5) and opening upwards, plotted with domain

-1 ≤ t ≤ 2   ⇒   -1 ≤ x + 4 ≤ 2   ⇒   -5 ≤ x ≤ -2

Answer:

it is c

Step-by-step explanation:

What is the value of digit 3 in 659.13 in words?

Answers

The value is three hundredths

One ticket from New York City to Paris cost $1,572. How much would it cost a family of 8 to fly from New York City to Paris?

Answers

Answer:

It's simple number of family here is 8 x the coast of 1 ticket

Step-by-step explanation:

1572 x 8 =12576

Answer:

$12,576

Step-by-step explanation:

You just have to multipy the cost of one ticket by 8.

Find the area of the figure​

Answers

Answer:

132cm^2

Step-by-step explanation:

to solve for the area of this we can split it into smaller shapes and sum the areas afterward-

the top rectangle has an area equal to Length x Width

4x7 = 28cm^2

the centre rectangle is done similarly-

7x8 = 56cm^2

lastly the two triangles which are solved with base x height divided by two

now since we know that the centre piece is 7cm across, and that the two side triangles are equal in size, that means that we know the base to be 19-7 divided by 2 which gives 6 each-

[tex]\frac{(6)(8)}{2}[/tex] (2) = (6)(8) = 48cm

now summing them we have 28 + 56 + 48 = 132cm^2

132 cm^2
You do the part separately then add it together in the end

Alice, Bob, and Christy are setting up aquariums. The design of each aquarium is below. Alice has enough pebbles to cover 9 square feet. Does she have enough to put a layer of pebbles on the bottom of Aquarium A?

Answers

Answer:

answer below

Step-by-step explanation:

alice- no

bob- no

christy- yes

you just gotta find the area

To feed his plants logan creates a mixture that requires 3/8 cup of plant food for every gallon of water. If he uses 10 1/2 gallons of. Water what is the total amount of. Plant food he needa

Answers

Answer:

[tex]3\ \frac{15}{16}[/tex]

Step-by-step explanation:

The mixture  requires 3/8 cup of plant food for every gallon of water

Then it requires (10 1/2)×(3/8) cup of plant food for 10 1/2 gallons of water

Now we have to calculate (10 1/2)×(3/8)

[tex]10\ \frac{1}{2} \ =\ \frac{10\times 2}{2} +\frac{1}{2} \ =\frac{20+1}{2} =\frac{21}{2}[/tex]

[tex]\frac{21}{2} \times \frac{3}{8} =\frac{63}{16} =3\ \frac{15}{16}[/tex]

then he needs :

[tex]\frac{63}{16}\ \ \text (cup\ of\ plant\ food)[/tex]

The tubing was 146 feet long if each piece of tubing was cut so that it was 6 feet long how many six-foot pieces could be made from the tubing

Answers

24 you need to divide 146 by 6 which gives you 24.333 but it will only make 6 foot tubing

Students in Mrs. Curry's class recorded the amount of snowfall in January and February.

Snowfall in January (inches)
5, 3, 7, 1, 8, 4, 3, 6, 1, 5, 8
Snowfall in February (inches)
8, 4, 2, 6, 6, 3, 8
The class then made line plots of this data, but they made some mistakes. Which of the following are mistakes that the students made? Select all that apply.

A line plot named Please dont delete im having issues in my school please answer

Answers

Answer:

A and C

Step-by-step explanation:

Today when the dwarf planet Ceres is furthest from Earth, it is 564 million km away. 233 days from now, it will be at its closest average distance of 264 million km away. Using this information, formulate a sinusoidal function that models Ceres's distance from Earth.

Answers

Answer:

currently 464,833,060 kilometers, equivalent to 3.107217 Astronomical Units. Light takes 25 minutes

If $300 is invested at an interest rate of 3.5% per year , find the amount of the investment at the end of 15 years for the following compounding methods

Answers

52.5%. In 15 years.
You need to multiply 3.5 x 15 = 52.5%

PLEASEEEE 100 POINTS AND BRAINLIEST PLEASEE HELPP ASAPPPPPPPPP!!!!! THANKS <3333

Answers

Answer:

2 5 7

Step-by-step explanation:

hopefully it helps sorry if it wrong

Answer:

here is your answer

Step-by-step explanation:

What is the interquartile range of the data represented in the box plot below??

A.30
B.50
C.60
D.70

Answers

Option A: 30.

Step-by-step explanation:

Hope this helped.

Satellite
Mass
(kg)
An engineer is collecting data on
four different satellites orbiting
Earth. The engineer records the
satellites' distances from Earth in
kilometers (km) and their forces
due to gravity in Newtons (N).
Distance
(km)
4000
Force due to gravity
(N)
17000
1
700
2.
700
36000
3
1000
11000
4
1000
7000
8100
Estimate the values for the two
missing quantities. Enter your
estimates into the blank boxes in
the table.

Answers

The first missing quantity is force due to gravity, and it is 215.1 N.

The second missing quantity is distance between the statellite and the Earth, determined as 6,000 km.

Force between two masses

The force between two masses is determined by applying Newton's law of universal gravitation as shown below;

[tex]F = \frac{GMm}{R^2}[/tex]

where;

M is mass of Earth = 5.97 x 10²⁴ kgm is mass of the satelliteR is the distance between the satellite and the EarthG is universal gravitation constantFirst missing quantity

The first missing quantity is force due to gravity, and it is calculated as follows;

[tex]F = \frac{(6.67 \times 10^{-11} ) \times (5.97 \times 10^{24}) \times (700)}{(36,000 \times 10^3)^2} \\\\F = 215.1 \ N[/tex]

Second missing quantity

The second missing quantity is distance between the statellite and the Earth,

[tex]R^2 = \frac{GMm}{F} \\\\R^2 = \frac{(6.67 \times 10^{-11})(5.97 \times 10^{24})(1000)}{11,000} \\\\R^2 = 3.62 \times 10^{13}\\\\R = 6,000 \ km[/tex]

Learn more about Newton's law here: https://brainly.com/question/3999427

Geometry. please help. image is attached. will give brainliest

Answers

Answer:

B (x= 14/3 , y= -5/3)

Step-by-step explanation:

A (x= 6, y= 1) and C (x= 2, y = -7)

On x-axis between A and C are 6 -2 = 4 units

On y-axis between A and C are 1 + 7 = 8 units

AB = (1/3) BC

Divide the distance between AC in 3 pieces

On x-axis will have 4/3 units on each piece

On y-axis will have 8/3 units on each piece

Now move away from A the 1/3 distance

A (x= 6, y= 1)

B (x= 6 -(4/3) , y= 1 -(8/3))

B (x= (18- 4)/3) , y= (3-8)/3))

B (x= 14/3 , y= -5/3)

30 POINTS
How many cubic feet of water canthi in-ground swimming pool design below hold?
A) 520 ft3
B) 528 ft3
D) 548 ft3
C) 550 ft3

Answers

Answer:

B.

Step-by-step explanation:

1) the volume can be calculated as sum:
V=V₁+V₂;

2) V₁=6*8*8=384 [ft³];

3) V₂=0.5*6*6*8=144 [ft³];

4) the required volume:

V=384+144=528 [ft³]

47 pts )Is this proportional or non- proportional a glacier
48/32 and 42/48
What’s the answer proportional or non proportional?

Answers

Let's simplify

48/32

Take 16

3/2

And

42/48

Take 6

7/8

No they are non proportional

7. If 60 gal. of oil flows through a pipe in 15 min., how long will it take to fill up
500 gal. tank? Answer in hours/min/sec.

Answers

Answer: 2 hours and 5 minutes .

Step-by-step explanation:60 divided by 3 is 20 and 20 gal= 5 minutes .

500 divided by 20 is 25 .25 times 5 minutes is 2 hours and 5 minutes

multiply then elimination
2x+y=3
-x+3y=-12​

Answers

Answer:

X = 3

Y = -3

Step-by-step explanation:

Find the perimeter and area of the shaded region.

Answers

Answer:

1. 144 m; 2. 720m²;

Step-by-step explanation:

1.

First we need to know how much edges are of the figure. Since there is 12, we need to multiple the length of an edge to how many of them are:

12 • 12 = 144 m

2.

Since one edge is 12 m, first calculate the plot of a little square (as there are 5 in the pic):

12 • 12 = 144 m² (one square)

Now we know that one square's plot is 144 m².

Since there is 5 of them, we need to multiply the plot 5 times, since there are five mini squares:

144 • 5 = 720 m²

Now we know the plot of the full figure.

What is the total length of border needed in feet and
inches?

Answers

The total length of the border needed is 41 feet and 8 inches

The calculations for standard structural shapes are based on​

Answers

Answer: The nomenclature for steel shapes follows two standards: For wide flange, bearing pile, S-shapes, channels, and tees

tep explanation:

Probability which can be classified as an event

Answers

The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible. Converting the fraction 35 to a decimal, we would say there is a 0.6 probability of choosing a banana. This basic definition of probability assumes that all the outcomes are equally likely to occur.

hope it helps...!!!

3. Prove that the associative property holds true for (7/8 + 2/5) + 8/3​

Answers

Answer:

(7/2+2/5)+8/3

=(3.5+0.4)+2.66

=(3.9)+2.66

=6.56

so its 6.56

Step-by-step explanation:

What is the slope of the line shown below?
(-4, 3)
(3, 1)
0 0
7
A. - 23
B.
c.
D-3

Answers

take two points  : (-4, 3), (3, 1)

[tex]\sf slope: \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]            where (x1, y1), (x2, y2)

Insert the following values

[tex]\hookrightarrow \sf \dfrac{1-3}{3-(-4)}[/tex]

[tex]\hookrightarrow \sf \dfrac{-2}{3+4}[/tex]

[tex]\hookrightarrow \sf -\dfrac{2}{7}[/tex]

(-4,3)(3,1)

slope:-

m=1-3/3-(-4)m=-2/3+4m=-2/7

What is the area of the figure?

Answers

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width of the big square is 60cm. The length of the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

W

=

56

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

W

=

24

34

=

816

The area enclosed in the area of the big square minus the area of the little square.

3360

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

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