Use the values In 8≈ 2.08 and In 1, 000 6.91 to find the approximate value of logg 1, 000.O logg 1,0008.99O logg 1, 000≈ 14.4O logg 1, 000≈ 0.301O logg 1, 000 3.32
Answers
Answer
\(Log_81000\approx3.32\)Explanation
\(Log_81000=\frac{ln1000}{ln8}=\frac{6.91}{2.08}=3.32\)Related Questions
What is the approximate circumference of a circle with a radius of 4?
1. 12.57
2. 25.13
3.50.27
4. 16
Answers
\({ \bf{ \underbrace{Given :}}}\)
Radius of the circle = 4.
\({ \bf{ \underbrace{To\:find:}}}\)
The approximate circumference of the circle.
\({ \bf{ \underbrace{Solution :}}}\)
\(\sf\orange{The\:circumference \:of\:the\:circle\:is\:≈\:25.13.}\)
2.) 25.13 ✅
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)
We know that,
\(\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }\)
\( = 2 \times \frac{22}{7} \times 4 \\ \\ = \frac{176}{7} \\ \\ = 25.14\)
Therefore, the circumference of the circle is ≈ 25.13.
\(\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}\)
The lines shown below are perpendicular. If the green line has a slope of 2,
what is the slope of the red line?
-10
10
16
A. ¾/1
O A.
B.
O C.
O D. - 3/4
Answers
None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.
The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.
Reciprocal of 2: 1/2
Negative reciprocal: -1/2
Therefore, the slope of the red line is -1/2.
However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
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Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 4p − 7 ≥ 9p + 8 true.
PLS HELP ME
Answers
The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5
Let's solve the inequality first
4p -7 \(\geq\) 9p +8
Taking p's on the same side we will get :
-7 - 8 \(\geq\) 9p - 4p
-15 \(\geq\) 5p
Divide by 5 into both sides
-3 \(\geq\) p
i.e. p \(\leq\) -3
Therefore p must be less than or equal to -3
From the set, we have the numbers -3,-4,-5 which are less than or equal to -3
Hence the integers -3,-4,-5 will make the inequality 4p-7 \(\geq\) 9p+8 true
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Round 47.58051 to the nearest thousandths
Answers
Answer:
47.581
Step-by-step explanation:
can't explain I just know how to do it
The perimeter of the triangular park shown on the right is 10x - 6. What is the missing length?
Answers
Answer:
missing length = 6x - 5
Step-by-step explanation:
the perimeter is the sum of the 3 sides.
subtract the sum of the 2 given sides from the perimeter for missing side, that is
10x - 6 - (x + 1 + 3x - 2)
= 10x - 6 - (4x - 1 ) ← distribute parenthesis by - 1
= 10x - 6 - 4x + 1 ← collect like terms
= 6x - 5
missing length = 6x - 5
What is the distance between the points (7,5) (4,9)
Answers
The Distance will be 5.
The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.
Let point (7,5) be A and point (4,9) be B
Distance formula =
Ab = √(x1- x2) ² + (y1 -y2) ²
Then Distance AB will be
Ab = √(7-4) ² + (5 -9) ²
= √ 3² + 4²
= √ 9 + 16
= 5
Hence the distance will be 5.
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The points \((7,5)\) \((4,9)\) are separated by a distance of \(5\) units.
The distance between the two points is given by the length of the segment between them.
The Distance Formula is a helpful tool for figuring out how far apart two points are when they are arbitrarily represented on a coordinate plane as points A\((x_{1},y_{1})\) and B\((x_{2},y_{2})\).
The Pythagorean Theorem is essentially the source of the Distance Formula. Calculating the right triangle's hypotenuse's length is the fundamental purpose of the distance formula.
Use the distance formula to get the distance between two places.
\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)
In the posted query,
\((x_{1},y_{1})=(7,5)\\\\(x_{2},y_{2})=(4,9)\)
Distance formula,
\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)
\(d = \sqrt{ (4-7)^{2} +(9-5)^{2} }\)
\(d = \sqrt{ (-3)^{2} +(4)^{2} }\)
\(d = \sqrt{ 9+16 }\)
\(d = \sqrt{ 25 }\)
\(d = 5\)
Therefore, the points \((7,5)\) \((4,9)\) are at a distance of \(5\) units.
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Find and plot the Fourier transform of the following signals, which corresponded to a sinusoidal signal sent over a finite time window. (t) = cos(10), 0, -10
Answers
The cosine components to discover the aspect of the triangle is given by: c = √[a2 + b2 – 2ab cos C] .
Where a,b and c are the edges of the triangle. The L is a remodel-pair courting among a DT sign and its continuous-frequency remodel this is used notably withinside the evaluation and layout of DT systems. So lifestyles method really that the sum that defines a does now no longer blow up.
This is simple to show for certainly summable sequences. If you are taking the value of the at any factor omega, that is identical to the sum for n that is going from minus infinity to plus infinity of x[n] instances e to the- j omega n in value.Therefore, the Fourier remodel of cosine wave characteristic is, F[cosω0t]=π[δ(ω−ω0)+δ(ω+ω0)].
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PLEASE HELP DUE TONIGHT
Answers
Answer: $1.46 less
Step-by-step explanation:
Lets find how much each bottle is first for Store B, to do that divide 29.10 divided by 15 and you should get 1.94 meaning each bottle of juice is $1.94. Next, lets find how much each bottle costs in store A. You can take any number from the total cost and divide it by the bottles and you should get the same thing. Lets do the first one 2.40 divided by 5 equals 0.48. If you want to check you can multiply 0.48 by any number of bottles and you should get the total cost. Now we have to find how much less Store A costs, to do so we subtract store B (1.94) and store A (0.48) and you should get $1.46.
A mountain bike is priced at $413. If the sales tax is 6.5 percent, what is the cost to purchase the mountain bike? Round to the
nearest cent if necessary.
$26.85
$28.91
$437.78
$439.85
Answers
answer: D) 439.85
Step-by-step explanation:
we are given the price of the bike which is $413.
we are also given the sales tax which is 6.5%.
sales tax is added to the original price to give us our total. so in order to find the total cost we need to find what the 6.5% sales tax is and add it to our original price. to find the sales tax number in dollars we need to set up our formula. The easiest formula is to use a proportion. X is out of 413 = 6.5% is out of 100%. X/413=6.5/100. We can then cross multiply then divide. 6.5 times 413=2,684.5. then divide 2684.5÷100= 26.845.
we need to round up to the nearest cent since we are working with dollars and cents 26.85. 26.85 is 6.5% of the price of the bike which is 413. Now we just simply add the tax to the original price and we get the cost. 413+26.85=439.85
Answer: The answer is D) 439.85
Step-by-step explanation:
2.3 A pattern has 5 blue squares and 80 green squares. What is the ratio of blue squares to green squares?
Answers
Answer:
1:16
Step-by-step explanation:
Divide both sides by 5 because you need to get one of them to one
\(5/5 =1\\80/5=16\\1:16\)
Answer:
1:16 (or) 1/16 (means same thing)
Step-by-step explanation:
hope this helps!
Given: In this figure, `/_AED` and `/_BEC` form a pair of vertical angles. Prove: `/_AED ~= /_ BEC `. Match each statement to its corresponding reason. Drag the items on the left to the correct location on the right.
Answers
Answer:
Step-by-step explanation:
The matched statement to its corresponding reason for the given alternate interior angles as:
Given: Let points A, B, and C form a triangle.
definition: Let stackrel(harr)(DE) be a line passing through B, parallel to "bar(AC)", with angles labeled as shown.
Congruent angles: m∠1=m∠4, m∠3 = m∠5
Linear pair theorem: m∠4+m∠2+m∠5 = 180°
As per the shown figure,
Given:
Let points A, B, and C form a triangle.
Defining a parallel line and labeling angles:
Let stackrel(harr)(DE) be a line passing through B, parallel to "bar(AC)", with angles labeled as shown.
Alternate Interior Angles Theorem:
∠1=∠4
∠3 = ∠5
Congruent angles have equal measures:
m∠1=m∠4
m∠3 = m∠5
Definition of a straight angle and angle addition:
m∠4+m∠2+m∠5 = 180°
Substitution:
m∠1 + m∠2 +m ∠3 = 180°
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Mabel spends 4 hours to edit a 3 minute long video. She edits at a constant rate. How long does Mabel spend to edit a 15 minute long video
Answers
The number of hours spent by Mabel to edit the 15 minute long video according to the task content is; 20 hours.
What is the time taken by Mabel to edit the hour?According to the task content, it can be inferred that for a 3 minute video, Mabel spends 4 hours.
On this note, it follows from proportion that the time taken by Mabel to edit the 15 minute video would be; 4hours × 5 = 20 hours.
Hence, the time taken to edit the 15minute long video is; 20 hours.
hi
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23 and 24 are complementary angles.
m_4 = 49
What is the measure of Z3?
Help !!
Answers
Answer:
complementary angles add up to 90º everything else you said needs rephrasing or maybe a picture along with it
Step-by-step explanation:
u=(8,-2) and v=(5,-5) what is angle between u and v
Answers
The angle between u and v is approximately 26.6 degrees.
To find the angle between two vectors, u and v, we can use the dot product formula:
u · v = ||u|| ||v|| cosθ
where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.
Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:
u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50
Next, we find the magnitudes of u and v:
||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246
||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071
Substituting these values into the dot product formula:
50 = 8.246 * 7.071 * cosθ
Simplifying, we have:
cosθ = 50 / (8.246 * 7.071) ≈ 0.899
Taking the inverse cosine (arccos) of 0.899, we find:
θ ≈ 26.6 degrees
Therefore,To find the angle between two vectors, u and v, we can use the dot product formula:
u · v = ||u|| ||v|| cosθ
where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.
Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:
u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50
Next, we find the magnitudes of u and v:
||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246
||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071
Substituting these values into the dot product formula:
50 = 8.246 * 7.071 * cosθ
Simplifying, we have:
cosθ = 50 / (8.246 * 7.071) ≈ 0.899
Taking the inverse cosine (arccos) of 0.899, we find:
θ ≈ 26.6 degrees
Therefore, the angle between u and v is approximately 26.6 degrees.
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I NEED HELP QUICKLY... The Student Council is selling raffle tickets to raise money for the Winter Dance. They have a total of 275 tickets to sell and are told they must sell at least 82% of them to raise enough money. How many do they need to sell? [A] Set up a proportion that can be used to solve this problem. [B] Show all steps to solve the problem.
Answers
A)
82/275
B)
100%/x%=275/82
(100/x)*x=(275/82)*x
multiply both sides of the equation by x
100=3.4*x
divide both sides of the equation by (3.4) to get x
100/3.4=x
29.8=x
x=29.8
4) Visitors to an online store can enter a special code to receive a discount. The graph shows
the original price, , and sale price, y, of some items at the store.
What does the point at (60, 55) represent?
The point at (60, 55) means that an item with
an original price of $
?
has a sale price
of $ ?
Sale Price ($)
100
90
80
Online Store Prices
70
60
50
40
30
20
10
0
0 10 20 30 40 50 60 70 80 90 100
Original Price ($)
(30, 25)
(90, 85)
(60,55)
Answers
The point at (60, 55) represents an item with an original price of $60 that is now being sold at a sale price of $55.
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
We are given that;
The point at (60, 55)
Now,
This means that customers who enter the special discount code can save $5 on this particular item.
In general, the point (x, y) on the graph represents an item with an original price of x dollars that is being sold at a sale price of y dollars. The graph is showing how the sale price of items changes as the original price increases.
Therefore, by the graph the answer will be $60 and $55.
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7k - 3k + 11, can somebody please help me out?
Answers
Answer:
4k+11=4011
Step-by-step explanation:
7k - 3k=4k
4k+11=4011
If the size of one object is 8.5*10^-4 meters and the size of a second object is 3.7*10^6, how many times bigger is the second object compared to the first object?
Answers
The second object is approximately 4.4 * 10^9 times bigger than the first object.
Division of numbers involving Scientific Notation.The division of the value of the second scientific notation from the first scientific notation is the precise and accurate way with which we can determine many many times bigger is the second object compared to the first object.
To do so, group coefficients together and exponents together to divide numbers in scientific notation. i.e.
= (3.7/8.5) * ((10^6)/(10^−4))
= 0.43529411 × ((10^6)/(10^−4))
Subtract the exponent from the denominator from the exponent of the numerator for the same base 0.43529411 ⋅ 10^(6 −4*−1)
= 0.43529411 × ((10^6+4)
= 0.43529411 × 10^10
= 4.3529411 × 10^9
≅ 4.4 × 10^9
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Captain's Autos sells 22 used cars on
Monday, and 18 cars on Tuesday. This was
25% of the number of sales for the week.
How many cars did they sell altogether that
week
Answers
Answer:
160
Step-by-step explanation:
22 + 18 = 25 percent
40 = 25 percent
100 / 25 = 4
40 x 4 = 160.
will mark brainleist pls help
Answers
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
(-1, 4) and (0,-1) writing out linear equations giving two points
Answers
Answer:
The equation is y = -5x - 1.
Step-by-step explanation:
1. Find the slope using the formula. Slope = (4 + 1) / (-1 - 0) which is equal to 5 / -1 which is -5.
2. Use the slope-point formula to construct an equation. The equation is y - 4 = -5 * (x + 1)
3. Simplify. We would get y = -5x - 5 + 4, which is y = -5x - 1.
Answer: The equation is y = -5x - 1.
what is the pythagoras theorum in terms of shakespear?
Answers
Answer:*
Step-by-step explanation:
Please
Answers
Answer:
Options 2, 3, and 4
Step-by-step explanation:
So overall Dominique gets $3 plus $1.25/mile and totals out $11.75
If we call the miles driven x, like they say, then the equation for earnings is:
1.25x+3=11.75
or some variation of that. We can see that as option 4, but a closer look at the other options shows us that options 2 and 3 are also true. These choices are simply the original equation correctly multiplied by a factor of 2 (the other options are incorrect multiplications).
So those are our answers.
2x-1=y
3x-1=y
Consider the system of equations above. Which of the following statements about this system is true?
Answers
Answer:
B; There is only one (x,y) solution and y is negative
Step-by-step explanation:
First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.
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Identify a pattern in the given list of numbers. Then use this pattern to find the next number.
1, 1, 1, 2, 1, 4, 1,
Answers
The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2
By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.
The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.
Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:
1 + 1 = 2
Hence, based on the observed pattern, the next number in the sequence is 2.
Therefore, the completed list of numbers would be:
1, 1, 1, 2, 1, 4, 1, 2
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HOw do I complete all my homework on time? I have a BUNCH of homework
Answers
Answer:
One helpful technique I used to stay focused is to buy a pack of m&ms or mini candies and every time I complete a problem I eat one candy or m&m. Also, try making a goal for yourself for example "my goal is to complete 100 problems in an hour"
Step-by-step explanation:
I hope this helps
message me with any more questions u have
Watching his dad‘s car alone eight year old Levi takes 2.5 hours if his dad helps him then it takes one hour how long does it take Levi’s dad to wash the car by himself
Answers
Given
It takes Levi 2.5 hours to wash his dad's car alone
It takes 1 hour if his dad helps him
Let t represent the time it takes his dad to wash his car alone
The rate at which Levi washes the car is:
\(=\text{ }\frac{x}{2.5}\text{ /hours}\)The rate at which his dad would was his car:
\(=\text{ }\frac{x}{t}\text{ /hours}\)The rate at which both work:
\(\begin{gathered} =\text{ }\frac{x}{1}\text{ } \\ \text{= x /hour} \end{gathered}\)The rate at which both work is equal to the rate at which Levi and his dad work individually
\(\begin{gathered} x\text{ = }\frac{x}{2.5}\text{ +}\frac{x}{t} \\ x\text{ = }\frac{xt+2.5x}{2.5t} \\ x\text{ = }\frac{x(t\text{ + 2.5\rparen}}{2.5t} \\ \frac{t+2.5}{2.5t}\text{ =1} \\ Cross-Multiply \\ t\text{ + 2.5 = 2.5t} \\ Collect\text{ like terms} \\ t\text{ -2.5t = -2.5} \\ -1.5t\text{ = -2.5} \\ Divide\text{ both sides by -1.5} \\ t\text{ = 1.667 hrs} \end{gathered}\)Hence, it takes Levi's dad 1 hour 40 mins
Match each logarithmic equation to its corresponding x-value.
=
5
log, t = 5
log, I = 1
=
= 4
log
1,000
16
625
3
log10+ = 3
32
1084*
= 2
>
A>
1
&
Answers
Answer:
please check photos for explanation.
The correct matches are:
32 corresponds to log₂(x) = 5
3 corresponds to log₃(x) = 1
1,000 corresponds to log₁₀ (x) = 3
625 corresponds to log₅(x) = 4
16 corresponds to log₄(x) = 2
What is Logarithm?A logarithm is a mathematical function that represents the exponent to which a specific base must be raised to obtain a given number. In other words, it is the inverse operation of exponentiation.
The logarithm of a number x to a given base b is denoted as log_b(x), where b is the base and x is the number. It represents the power to which the base must be raised to obtain the value x.
The logarithmic equations and their corresponding x-values are as follows:
log₂(x) = 5 → x = 32
log₃(x) = 1 → x = 3
log₁₀(x) = 3 → x = 1,000
log₅(x) = 4 → x = 625
log₄(x) = 2 → x = 16
So, the correct matches are:
32 corresponds to log₂(x) = 5
3 corresponds to log₃(x) = 1
1,000 corresponds to log₁₀ (x) = 3
625 corresponds to log₅(x) = 4
16 corresponds to log₄(x) = 2
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distance (meters)
time (seconds)
A
114
Answers
Answer:
Time = 91.2 seconds
Step-by-step explanation:
Since, Tyler swims at a constant speed 5 meters every 4 seconds.
Relation between distance and time is always proportional.
Therefore, d ∝ t
d = kt
Here, k = proportionality constant
For d = 5 m and t = 4 seconds
5 = 4k
k = \(\frac{5}{4}\) = 1.25
So the relation is, d = 1.25t
Now we have to find the time taken to cover 114 m.
From the given relation,
114 = 1.25t
t = \(\frac{114}{1.25}\)
t = 91.2 seconds
PLEASE HELP WILL GIVE BRAINLIEST
The number of automobiles in a certain town was 1,890 in 2015, and it was 2,420 in 2020. If we were to make a linear model that gives the number of automobiles in this town as a function of the number of years since 2015, what would be the y-intercept?
Answers
The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).
To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.
Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:
slope = (change in number of automobiles) / (change in number of years)
slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year
Now we can use the point-slope form of a linear equation to find the y-intercept:
y - y1 = m(x - x1)
where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).
y - 1890 = 106(x - 2015)
To find the y-intercept, we can set x = 0:
y - 1890 = 106(0 - 2015)
y - 1890 = -213,290
y = 211,400
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