(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.
(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)
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
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
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
PLEASEEEE 100 POINTS AND BRAINLIEST PLEASEE HELPP ASAPPPPPPPPP!!!!! THANKS <3333
Answer:
2 5 7
Step-by-step explanation:
hopefully it helps sorry if it wrong
Answer:
here is your answer
Step-by-step explanation:
Help???? i’m not good w Algebra
Answer:
Answer A
Step-by-step explanation:
All equations except A end up as no solutions when put in an Algebra calculator
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
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]
What is the area of the figure?
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:
What is the interquartile range of the data represented in the box plot below??
A.30
B.50
C.60
D.70
Option A: 30.
Step-by-step explanation:
Hope this helped.
3. Prove that the associative property holds true for (7/8 + 2/5) + 8/3
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:
Q. Solve using the quadratic formula x2 + 4x – 16 = 0 ?
-
answer choices
2 + 25
A
B 2 + 4V5
C -2 + 275
D -2 + 4V5
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 value of digit 3 in 659.13 in words?
What is the total length of border needed in feet and
inches?
Find the area of the figure
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
The calculations for standard structural shapes are based on
Answer: The nomenclature for steel shapes follows two standards: For wide flange, bearing pile, S-shapes, channels, and tees
tep explanation:
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
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?
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 perimeter and area of the shaded region.
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 slope of the line shown below?
(-4, 3)
(3, 1)
0 0
7
A. - 23
B.
c.
D-3
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]
slope:-
m=1-3/3-(-4)m=-2/3+4m=-2/7Which graph represents the parametric equations x(t) = t – 4 and y(t) = t2 + 5 for –1 ≤ t ≤ 2?
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:
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.
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 massesThe 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 quantityThe 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 quantityThe 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
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
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]
What is the length of segment NS?
1 unit
2 units
4 units
6 units
Answer:
4 units yan po sana makatulong
Geometry. please help. image is attached. will give brainliest
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)
multiply then elimination
2x+y=3
-x+3y=-12
Answer:
X = 3
Y = -3
Step-by-step explanation:
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.
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
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.
Answer:
currently 464,833,060 kilometers, equivalent to 3.107217 Astronomical Units. Light takes 25 minutes
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
Answer:
A and C
Step-by-step explanation:
Probability which can be classified as an event
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...!!!
What is 34107.12 to the nearest half centimeters? 
Answer:
34107cm
Step-by-step explanation:
47 pts )Is this proportional or non- proportional a glacier
48/32 and 42/48
What’s the answer proportional or non proportional?
Let's simplify
48/32Take 16
3/2And
42/48Take 6
7/8No they are non proportional
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?
Answer:
answer below
Step-by-step explanation:
alice- no
bob- no
christy- yes
you just gotta find the area