1. Which are true of x = log10 31,500? Select all that apply.
a. x < 4
b. x = 4
C. X > 4
d. x < 5
e. X = 5
f.x > 5
I don’t get this
Given:
[tex]x=\log_{10}31,500[/tex]
To find:
Select the true statements from the given options about the given value.
Solution:
We have,
[tex]x=\log_{10}31,500[/tex]
It can be written as
[tex]x=\log_{10}(2^23^25^37)[/tex]
[tex]x=\log_{10}(2^2)+\log_{10}(3^2)+\log_{10}(5^3)+\log_{10}(7)[/tex] [tex][\because \log(ab)=\log a+\log b][/tex]
[tex]x=2\log_{10}2+2\log_{10}3+3\log_{10}5+\log_{10}(7)[/tex]
[tex]x=2\left(0.30105\right)+2\left(0.47712\right)+3\left(0.69897\right)+0.8451[/tex]
[tex]x=4.49835[/tex]
Clearly, the value of x lies between 4 and 5. So, [tex]x>4[/tex] and [tex]x<5[/tex].
Therefore, the correct options are C and D.
The true statements are: (c) x > 4 and (d). x < 5
The logarithmic expression is given as:
[tex]x = \log_{10}(31500)[/tex]
Express 31500 as a product of 100
[tex]x = \log_{10}(315 * 100)[/tex]
Apply the law of logarithm
[tex]x = \log_{10}(315) + \log_{10}(100)[/tex]
Evaluate log 100 base 10
[tex]x = \log_{10}(315) + 2[/tex]
Evaluate log 315 base 10
[tex]x = 2.50 + 2[/tex]
Add the expressions
[tex]x \approx 4.50[/tex]
4.5 is greater than 4 and less than 5
Hence, the true statements are: (c) x > 4 and (d). x < 5
Read more about logarithms at:
https://brainly.com/question/25710806
Geometry please help!!!!!
Ed's dog Zoe ate almost 18% of the 4 dozen cookies he baked.
Which is the best estimate of the number of cookies Zoe ate?
Answer:
.72 or 1
Step-by-step explanation:
it is .72 in decimals but if you wanna round up to a whole number it's 1
Grant started a marathon at 8:00 am. He took 4 hours 49 minutes to complete the marathon. When did he cross the finish line
I will mark you brainlist!
How many triangles and rectangles/squares do you need to solve for?
Answer:
8 triangles
Step-by-step explanation:
1 Triangle = 2 needed to be solve. 4 triangle × 2 =8.
Carissa folds 32 TShirts in 8 minutes. How many TShirts can she fold in 20 minutes?
Answer:
5
Step-by-step explanation:
Answer:
80 TShirts in 20 minutes
Step-by-step explanation:
32/8 = 4 Tshirts in a minute
4 x 20 = 80 TShirts in 20 minutes
Which rectangular prism has a surface area of 56 square units? [Note: Art is not drawn to scale.]
A rectangular prism with a length of 5, width of 3, and height of 1.
A rectangular prism with a length of 2, width of 2, and height of 6.
A rectangular prism with a length of 5, width of 3, and height of 2.
A rectangular prism with a length of 6, width of 2, and height of 4.
Answer:
B
Step-by-step explanation:
i took the quiz have a nice day :)
Answer:
The correct answer is B
Step-by-step explanation:
2*2=4 2*6=12 2*6=12 4+12+12 = 28 28*2=56
Select all possible cross sections of a sphere.
А
circle
B
square
C
triangle
D
point
A beach umbrella has a circumference of 8.8 feet what is the radius of an umbrella?
Answer:
radius = 1.4
Step-by-step explanation:
The formula for circumference is as follows:
[tex]C = d\pi[/tex]
or
[tex]C = 2r\pi[/tex]
However, these formulas are the same, because the diameter is equal to the radius times 2. I prefer to use the first (it gives you less values to work with).
Anyhow, We would substitute like this:
[tex]8.8 = d\pi[/tex]
We know that pi, is going to be equal to: 3.14159
So we work from there...
[tex]8.8=d(3.14159)\\2.8011=d[/tex]
Diameter divided by 2 would be the radius, and thats:
1.4006
or 1.4
Simplify (8x2 − 1 + 2x3) − (7x3 − 3x2 + 1).
In 2010, the population of a city was 25,000. The
population increased by 20% in each of the next three
years. If this rate of increase continues, what will be the
population of the city in 2015?
Answer:
43,200
Step-by-step explanation:
25,000x .20=5,000
30,000 x .20=6,000
36,000x.20=7,200
43,200x.20=8,640
51,840x.20=10,368
p=. RS. 200, R= 6%per six months. T= 3years
Answer:
36
Step-by-step explanation:
200×3×6/100 =36.is the ans
Jaime has 50 rock songs, 35 dance songs and 15 rap songs on his play list. If his music player randomly selects a song, what is the probability that it is a rock song?
An equivalent equation has been written by multiplying the second equation by 2.
4x – 9y = 7 → 4x – 9y = 7
2(–2x + 3y = 4) → –4x + 6y = 8
What is the solution to the system?
a: (-19/2, -5)
b: (-5, -19/2)
c: (-15/2, -11/3)
d: -19/10, 1/15)
Answer:
(-19/2, -5)
Step-by-step explanation:
Given the two equivalent equations
4x – 9y = 7 .... 1
–4x + 6y = 8 ....2
Adding both equations
-9y + 6y = 7+8
-3y = 15
y = -15/3
y = -5
Substitute y = -5 into 1
From 1; 4x - 9y = 7
4x - 9(-5) = 7
4x + 45 = 7
4x = 7 - 45
4x = -38
x = -38/4
x = -19/2
Hence the solution is (-19/2, -5)
A tumor is injected with 0.52 grams of Iodine-125. After 1 day, the amount of Iodine-125 has decreased by 1.15%.
Write an exponential decay model with A(t) representing the amount of Iodine-125 remaining in the tumor after t days. Enclose arguments of the function in parentheses and include a multiplication sign between terms. For example, c*ln(t).
Then use the formula for A(t) to find the amount of Iodine-125 that would remain in the tumor after 8.5 days.
Answer:
The equation is [tex]A(t) = 0.52*(0.9885)^{(t)}[/tex].
0.4713 grams would remain in the tumor after 8.5 days.
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the amount of a substance that decays, after t days, is given by:
[tex]A(t) = A(0)*(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
A tumor is injected with 0.52 grams of Iodine-125.
This means that [tex]A(0) = 0.52[/tex]
After 1 day, the amount of Iodine-125 has decreased by 1.15%.
This means that [tex]r = 0.0115[/tex]
So
[tex]A(t) = A(0)*(1-r)^t[/tex]
[tex]A(t) = 0.52*(1-0.0115)^t[/tex]
[tex]A(t) = 0.52*(0.9885)^t[/tex]
Then use the formula for A(t) to find the amount of Iodine-125 that would remain in the tumor after 8.5 days.
This is A(8.5).
[tex]A(t) = 0.52*(0.9885)^t[/tex]
[tex]A(8.5) = 0.52*(0.9885)^{8.5} = 0.4713[/tex]
0.4713 grams would remain in the tumor after 8.5 days.
solve for x leave answer in simplest radical form.
Answer:
4sqrt(15)
Step-by-step explanation:
a² + b² = c²
x² + 7² = 17²
x² + 49 = 289
x² = 240
[tex]\sqrt{x^2} =\sqrt{240}[/tex]
[tex]x=4\sqrt{15}[/tex]
4z + 8 - 6=
7z ÷ 4 + 5x=
y² ÷ (3z) =
I NEED HELP :(
Answer:
1: 14z+2
2: 7z/4 + 5x
3: y²/3z
Suppose that 55% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?
Answer:
The probability to one person to be a dog owner is p=0.56 (because 56% of people own dogs) and the probability that one person is not dog owner is q=1-p=1-0.56=0.44.
Step-by-step explanation:
Choosing two people at random, there are such possibilities:
1. both are dog owners;
2. first owns a dog, second not;
3. first hasn't dog, second owns a dog;
4. both haven't dogs.
Answer: if you pick two people at random the probability that they both own a dog is 0.3136.
Hope this helps! :))
The Probability that they both own a dog is 0.3025.
Here,
55% of people own dogs.
If pick two people at random,
Then we have to find the probability that they both own a dog.
What is Probability?
Probability is defined as the likelihood of something occurring or the chance of something happening.
Now,
55% of people own dogs.
Hence, the probability that they both own a dog = 55% * 55%
= 0.55 * 0.55
= 0.3025
So, The probability that they both own a dog is 0.3025.
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ2
please help me i’ll give brainliest
Answer:
105 degrees
Step-by-step explanation:
You need to understand the properties of corresponding angles and supplementary angles.
Evaluate the algebraic expression for the given value(s) of the variable(s).
2x 2 - 7xy + 3y 2 ; x = -3, y = 4
Answer:
-18
Step-by-step explanation:
2x²-7xy+3y²
2(3²)-7(3)(4)+3(4²)
2(9)-84+3(16)
18-84+48
18+48-84
-18
A headband design calls for 1/5 yard of fabric. If Elizabeth has 3 yards of fabric, how many headbands can she make.
PLSSS ANSWER JUST PUT THE NUMBER OF THE QUESTION THEN THE ANSWER PLS HELP ITS OVERDUE AND IM GONNA FAIL 7TH GRADE :(
I WILL GIVE BRAINLIEST EVERYONE KEEPS GIVING ME RANDOM LINKS IM CRYIING :( I WOULD BE SO GRATEFUL IF U HELPED UR A LIFE SAVER
Answer:
11= 21
12= -12
13= -72
14= -1
Step-by-step explanation:
Answer:
11) 21
12) -5
13) 8
14) 9
Step-by-step explanation:
i passed 7th grade (teehee)
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
Cd equals the square root of 3
Answer: 2 square root 3
Step-by-step explanation:
other user's answer
Please help I’ll give brainliest! Due today. I need Sin Z, Tan z, and Cos Z
Select all of the given trigonometric equations that are true statements. sin(180°) = cos(0°) cos(74°) = sin(16°) sin(20°) = cos(70°) sin(A°) = cos(90° - A°) sin(A°) = cos(180° - A°) cos(140°) = sin(40°)
Answer:
Cos 74°= Sin 16°
Sin 20°= Cos 70°
Sin A°=Cos (90°- A°)
Step-by-step explanation:
This is because the three pairs are complementary i.e they add up to 90° and in trigonometric ratios, complementary ratios are equal.
(-8, -1); slope = - 3/4
Pleaseee this onee!!
Answer:
y = -3/4x - 7
Step-by-step explanation:
Slope intercept:
y - y1 = m(x - x1)
y + 1 = -3/4(x + 8)
y + 1 = -3/4x - 6
y = -3/4x - 7
help i don’t understand this
Answer:
31.4 in
Step-by-step explanation:
Count the 4 mm lines and add it to 31 ins. So you end up with 31.4 in
help me .................
Answer:
The answer is 6 and 1/12 yards :]
What is the value of x in trapezoid ABCD?
Answer:
15
Step-by-step explanation:
solve 3-x/2≥15
A.x ≤ -24
B.x ≤6
C.x ≥ -24
D.x ≥ -6