The logarithm value of log 1/2 462 to four decimal places is –8.8517.
What is a logarithm?The logarithm is the mathematical inverse function to exponentiation.
The logarithm of a number x is the exponent to another fixed term.
It is given the log of 462 to a base of 1/2.
[tex]log_{0.5} 462 = \frac{log462}{log0.5}[/tex]
= –8.8517
Therefore, the logarithm value of log 1/2 462 to four decimal places is
–8.8517.
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what is the slope of the line created by the points (9, 8) & (4, -3)?
Answer:
11/5
Step-by-step explanation:
y2-y1/x2-x1
= -3-8/4-9
= -11/-5
= 11/5
Find the average rate of change, in people per year, for the population between the years 1900 and 1920.
Step-by-step explanation:
the average change rate of a function f(x) in an interval [x1 .. x2] is
(f(x2) - f(x1)) / (x2 - x1)
in our case that is
(7000 - 2500) / (20 - 0) = 4500 / 20 = 225
the population changed in average by 225 people per year from 1900 to 1920.
The average January surface water temperatures (°C) of Lake Michigan from 2000 to 2009 were 5.07, 3.57, 5.32, 3.19, 3.49, 4.25, 4.76, 5.19, 3.94, and 4.34. The data set has the following statistics:
x = 4.312
Variance squared2 = 0.577
What is the standard deviation? Round to the nearest thousandth.
0.333
0.760
2.077
18.593
Answer:
the answer is B 0.760
Step-by-step explanation:
i did the test.
Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 π and round your final answer to the nearest hundredth. the radius is 2
Answer:
[tex]10.67\pi[/tex] OR [tex]33.49[/tex]
Step-by-step explanation:
Volume of a Sphere: [tex]\frac{4}{3} *\pi*r^3[/tex]
Radius = 2
[tex]\frac{4}{3} *\pi*r^3[/tex]
[tex]\frac{4}{3} *\pi*2^3[/tex]
[tex]\frac{4}{3} *\pi*8[/tex]
[tex]10.67\pi[/tex]
OR
[tex]\frac{4}{3} *\pi*r^3[/tex]
[tex]\frac{4}{3} *3.14*2^3[/tex]
[tex]\frac{4}{3} *3.14*8[/tex]
[tex]\frac{4}{3} *25.12[/tex]
[tex]33.49[/tex]
Hope this helps!
The rectangle is 20 by 16 and the scale factor is 0. 25. What are the dimensions of the reduced rectangle?.
The dimensions of the reduced rectangle are 5(length) and 4(width).
The original length of the rectangle= 20
The original width of the rectangle=16
What is a scale factor?It is the factor by which the size or dimension of an object is dilated.
Reduced length/Original length = 0.25
Reduced length = 0.25 * original length
Reduced length = 0.25 * 20
Reduced length = 5
Reduced width/Original width = 0.25
Reduced width = 0.25 * original width
Reduced width = 0.25 * 16
Reduced width = 4
Therefore, the dimensions of the reduced rectangle are 5(length) and 4(width).
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How much, in total, did Noel spend to cash her three most recent paychecks?
The total amount of money that was spent by Noel to cash her three (3) most recent paychecks is equal to $10.99.
What is a paycheck?A paycheck can be defined as a financial document that is issued by an employer to an employee as payment for the work done over a period of time.
How to calculate the amount spent.From the table, we can see that the amount of money charged by the bank as check processing fee is equal to $1.99, as well as 1.99% (0.0199) of the amount being cashed by a customer.
Thus, we would compute the amount of money spent by Noel as follows:
Noel = (0.0199 × 100.53) + (0.0199 × 119.38) + (0.0199 × 122.52) + (1.39 × 3)
Noel = 2.00 + 2.38 + 2.44 + 4.17
Noel = $10.99.
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Find the diameter of a circle with area 28.3 yd2
Answer:
6.002722642yd
Step-by-step explanation:
Area to Radius:
Area of a circle = (pi)r(squared)
28.3= pi x r2
28.3/pi = r2
9.0081...=r2
square root of 9.0081...= radius
radius= 3.001361321yd*
Radius to Diameter:
diameter = radius x 2
d = 3.001361321* x 2
d = 6.002722642yd*
*i used the full numbers after the decial point because i didnt know if it had to be to like 1 or 2 decimal places or even 3 so i left it like that just in case but you can just write 3 x 2 or 6yd as your final answer!
Hope this helped :)
Find the length of the third side. If necessary, round to the nearest tenth. 12 18
Answer (assuming that the shape is a right triangle):
If looking for the hypotenuse: 21.63
If looking for one leg, given other leg is 12, and the hypotenuse is 18: 13.42
Step-by-step explanation:
Given the length of two sides of a right triangle, we can use the pythagorean theorem to find the length of the third side. The pythagorean theorem is [tex]a^{2} + b^{2} = c^{2}[/tex] or [tex]c=\sqrt{(a^{2} + b^{2})}[/tex]. Given this question, I do not know what side of the triangle the problem is looking for, I would assume the hypotenuse, so let's do that first.
[tex]c = \sqrt{(12^{2} +18^{2})} \\c = \sqrt{468} \\c = 21.63[/tex]
Or we can manipulate the equation to find different scenarios of possible legs. Such equation that can be used is [tex]a = \sqrt{c^2 - b^2}[/tex], where c is the hypotenuse.
Only one scenario is possible, with the hypotenuse being 18 because the hypotenuse cannot be less than one of the legs, or that leg basically becomes the hypotenuse because such side is the largest (12 < 18).
So our last scenario is, if we are looking for one leg, given other leg is 12, and the hypotenuse is 18.
[tex]a = \sqrt{18^2-12^2} \\a = \sqrt{180} \\a = 13.42[/tex]
These are our possible answers.
help me !!How many years will it take for the Honda to be worth more than the Range Rover? Justify your
response mathematically.
Answer:
6.03 years
Step-by-step explanation:
The value of the Range Rover decreases 25% per year, so its value "growth" factor is 1-25% = 0.75. The initial value is 60,000, so its exponential value function can be written ...
r(x) = 60000(0.75^x)
The Honda has a "growth" factor of 18000/20000 = 0.90 and an initial value of 20,000, so its exponential value function can be written ...
h(x) = 20000(0.90^x)
__
We want to find x such that h(x) > r(x).
20000(0.90^x) > 60000(0.75^x)
0.90^x > 3(0.75^x) . . . . . . . divide by 20000
(0.90/0.75)^x > 3 . . . . . . . . divide by 0.75^x
x > log(3)/log(1.2) . . . . . . . . take logs, divide by log(1.2)
x > 6.025685
It will take about 6.03 years for the Honda to be worth more.
Julie printed out a picture of each of the four members of her favorite band to decorate her bedroom door. Each picture measures 4 inches by 6 inches. Once decorated, how many square inches of Julie's door will be covered by these pictures?
Answer:
96 inches
Step-by-step explanation:
The answer is 96 inches because you have to multiply, 4x6 to get 24 then, since you have four band member pictures,you have to multiply it by four. So it will cover 96 inches.
You put $125.32 at the end of each month in an investment plan that pays 2.5% interest, compounded monthly. how much will you have after 23 years? round to the nearest cent. a. $46,683.28 b. $4,564,471.88 c. $2,949.39 d. $3,832.84
After 23 years $125.32 will be matured to $46,683.28.
What is the formula for recurring investment?The formula for Recurring maturity is given by:
[tex]A=Pn +\frac{ P*n*(n+1)}{24} *\frac{r}{100}[/tex]
Where A=matured amount
P =Principal value
n=Number of months
r=Interest rate(annual)
We have P= $125.32
n=23*12 = 276 months
r=2.5*12 =30%
Put these values in the above formula
we get A= $46,683.28
Therefore, After 23 years $125.32 will be matured to $46,683.28.
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Runchuan filled his 6-cup jar with honey. How many times could he fill his 2-fluid-ounce honey bear
from the jar? Explain.
Answer:
144
Step-by-step explanation:
Since there are 48 fluid-ounce in a cup, we can do 6 x 48
6 x 48 = 288
Now we know how much fluid ounces are in the 6 cups we can divide by the honey bear ( 2 fluid ounce ).
288/2 = 144
CO
1 If the area of a rectangle is 306 square centimeters (cm”) and one dimension is 6
centimeters, what is the measurement of the other dimension? Use labeled sketches
and equations to model and solve this problem.
The other dimension is the width of the rectangle
The other dimension is 51 centimeters
How to determine the length of the other dimension?The given parameters are:
Area = 306 square centimeters
Length = 6 centimeters
The area of the rectangle is calculated as:
Area = Length * Width
This gives
306 = 6 * Width
Divide both sides by 6
51 = Width
Hence, the other dimension is 51 centimeters
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I AM GIVING AWAY 30 POINTS TO WHOEVER ANSWERS ME
Answer:
Answer B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The venn diagram of the option B is correctIt is a fact that all whole numbers are real numbersBut, all real numbers, such as 3/4, are not always whole numbersIf B (x,y)=(x-3,y+5), what is B(4,7)?
Can anyone help me please
Answer:
(B (4, 7 ) = (1, 12 )
Step-by-step explanation:
given
B (x, y ) = (x - 3, y + 5 ) , then
B (4, 7 ) = (4 - 3, 7 + 5 ) = (1, 12 )
A board-game club meets each week at the local library. People bring different board games to play, like checkers and chess. Out of the 50 people that meet each week, 67% prefer to play checkers over chess. Construct an 83% confidence interval for the population mean of people that prefer to play checkers over chess.
Using the z-distribution, as we are working with a proportion, it is found that the 83% confidence interval is (0.5789, 0.7611).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have an 83% confidence level, hence[tex]\alpha = 0.93[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.83}{2} = 0.915[/tex], so the critical value is z = 1.37.
The other parameters are [tex]n = 50, \pi = 0.67[/tex].
Then, the bounds of the interval are given as follows:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 - 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.5789[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 + 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.7611[/tex]
The 83% confidence interval is (0.5789, 0.7611).
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Answer:
CI = (57.89%, 76.14%)
Step-by-step explanation:
First, solve for the 83% critical z-value (za/2). Second, solve for the margin of error. Third, solve for the confidence interval by subtracting and adding the margin of error with the sample probability of success.
write down the next two terms of the number pattern 2,5,8,11,14
Answer:
17 and 20
Step-by-step explanation:
Write down the next two terms of the number pattern 2, 5, 8, 11, 14
Looking at the numbers, we can tell that they are increasing by 3:
2 + 3 = 5
5 + 3 = 8
8 + 3 = 11
11 + 3 = 14
14 + 3 = 17
17 + 3 = 20
Hope this helps!
One winter, a group of students measured snowfall totals at their school. This
chart shows how many inches of snow the students measured each month.
How much total snowfall did they receive at their school that winter?D
MONTH
SNOWFALL
December 3.3
January 10.6
February 2.5
Help pls
Answer:
The answer is 16.4 inches
Step-by-step explanation:
The result is calculated by adding all the values together. 3.3+10.6+2.5=16.4
Polygon ABCD has the following vertices a (-3,3), B(5,5), C (5, -4) and D (-3, -4) calculate the area of the polygon.
Answer:
64 units squared
Step-by-step explanation:
If you put the points on a graph you can see the shape is a trapezoid. The left and right sides are the bases, the bottom is the height. The area formula is to average the bases and times by the height. see image. You could do a lot of distance formula and slope calculations, but on the graph you can count the squares to find side lengths.
Which two numbers doesStartRoot 128 EndRoot lie between on a number line? 11. 0 and 11. 1 11. 2 and 11. 3 11. 3 and 11. 4 11. 4 and 11. 5.
A number line is a representation of a graded straight line. The number √128 will lie between 11.3 and 11.4.
What is a number line?A number line is a representation of a graded straight line that serves as an abstraction for real numbers, which are represented by the letter R. A real number is considered to correspond to every point on a number line, and a point to every real number.
In order to know the location of the √128, we need to write the number √128 in decimal form, therefore, the value of √128 can be written as,
[tex]\sqrt{128} = 11.3137 \approx 11.31[/tex]
Now, on the number line if we plot √128 we will see that it will lie between 11.3 and 11.4, as shown below.
Hence, the number √128 will lie between 11.3 and 11.4.
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What polynomial has quotient x^2 + 6x − 2 when divided by x + 3?
Answer:
x³ + 9x² + 16x - 6
Step-by-step explanation:
First, you have to multiply x + 3 with x² + 6x - 2.
(x + 3)(x² + 6x - 2)
You will get:
x · x² = x³
x · 6x = 6x²
x · -2 = -2x
3 · x² = 3x²
3 · 6x = 18x
3 · -2 = -6
When you combine these, you get:
x³ + 6x² - 2x + 3x² + 18x - 6
Add them up to get your answer,
x³ + 9x² + 16x - 6.
Hope this helps!
Which choice shows the graph of the solution set for the inequality p - 2 > 6?
(A
"10
"5
0
5
10
B)
10
5
0
5
10
"10
5
HHHO+++
5 10
0
*10
-5
HHHO++++
0 5 10
Answer:
p > 8
Step-by-step explanation:
p - 2 > 6
Add 2 to each side
p > 8
Which line plot displays a data set with an outlier? pick 1, 2, 3, or 4. I NEED THE ANSWER ASAP! First Answer will get brainliest!
Answer:
4
Step-by-step explanation:
4th one is the answer because 5 is an outlier in the set of data
Answer:
Option 4
Step-by-step explanation:
An outlier is piece of data in a data set which has a recorded frequency dissimilar to the other pieces of dataIn Option 4, 5 is clearly an outlier where the other pieces of data are concentrated within the 11-16 rangeWhat is the value of x? (angle bisector problem)
Answer:
47Step-by-step explanation:
According to angle bisector theorem we get the following ratio:
VT/KT = VY/KYSubstitute the lengths and solve for x:
77/87.5 = 22/(x - 22)77(x - 22) = 87.5*2277x - 77*22 = 192577x = 1925 + 169477x = 3619x = 3619/77x = 47Use angle bisector theorem
77/87.5=22/x-2277x-1694=192577x=3619x=3619/77x=47Solve and Answer correctly the question
Time:-
Distance/Speed250/2125s2min 5sTime started=6AM
time to reach:-
6+0:02:056:02:05 AMPart B Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5. Keep the square 4 and square 5 window open. You will need them to complete the rest of the tasks in this section. What are the side lengths of square 4 and square 5 in terms of a and b? Do the two squares have the same area?
The 4 sides of a square are usually the same and the side length of squares 4 and 5 is a+b.
How to explain the square?From the diagram, each side is called the side length. Therefore,
Side length of square 4 = a + bSide length of square 5 = a + bIf the side lengths are equal that is (a + b), then the area which is the square of the side length will also be the same.
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If RV=w and SU=w–30, what is the value of w?
Answer:
w = 60
Step-by-step explanation:
the midsegment SU is half the measure of side RV , then
SU = [tex]\frac{1}{2}[/tex] RV , so
w - 30 = [tex]\frac{1}{2}[/tex] w ( multiply through by 2 to clear the fraction )
2w - 60 = w ( subtract w from both sides )
w - 60 = 0 ( add 60 to both sides )
w = 60
Round 68.09 to 2 Sf please
Im really stuck please help guys?
Answer:
75°
Step-by-step explanation:
180°-105°=75°
Hope this helps!
If not I am sorry.
Which point on the number line is at 58/100
Answer:
R
Step-by-step explanation:
If you count the tiks by 10 instead of ones, Q is less than 50, and S and T are both larger than 60. Therefore, R is the only possible answer.
Hope this helped <3 Brainliest please :)