log base 4 of 9
HELPPPPPPPP
Answer:
1.58 ish
Step-by-step explanation:
For a logx y = z, x^z = y
So here, log4 9= 1.58 or so
1.5849625007
What number is represented by point B?
4/5
1 4/5
1 5/4
2 1/5
Answer:
1 5/4
Step-by-step explanation:
Trevor thought there would only be 8
teams in the soccer tournament, but
there were 17. What was his percent
error?
Answer: The answer is 48%
three sides of triangle is x cm y cm z cm its perimeter and semi perimeter
Answer:
Step-by-step explanation:
Perimeter:
\(P=(x+y+z) \ cm\)
Semi-perimeter:
\(SP=\frac{1}{2} (x+y+z) \ cm\)
Determine if the following conjecture is true. If not, give a counterexample.The cubic power of an odd integer is odd.Options:truefalse; 73 = 342false; 93 = 728ORfalse; 53 = 126
Yes, the cubic power of an odd integer is odd. So, the following conjecture are
a) False ; 7³ = 342 --> True
b) False ; 9³ = 728 -->True
c) False; 5³ = 126 --> True
We have, some conjecture related to the cubic power of an odd integer is odd.
Odd number : In mathematics, an integer is even if it is a multiple of two, and odd if it is not. Let us consider 2n be a even numbers then , 2n+ 1 must be an odd number.
taking cube power of 2n+ 1 we get,
(2n + 1)³ = (2n)³ + 1³ + 3×2n×1( 2n + 1)
[ Since, (a + b)³ = a³ + b³ + 3ab(a+b), here a = 2n and b = 1]
So, (2n + 1)³= 8n³+ 1 + 6n( 2n + 1)
= 8n³+ 1 + 12n² + 6n = 2n(4n² + 3n + 3) + 1
As we see clearly, first factor is multiple of 2n that is it's even number then (even number + 1 ) implies to an odd number. Thus, the cube power of odd number is again an odd number, i.e 3³ = 27 ; 5³ = 125 ......
a) False ; 7³ = 342 , it is true
b) False ; 9³ = 728 , it is true
c) False; 5³ = 126 , it is also true
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How to find the slope of the line that passes through the points (−2,3) and (5,−7)
Answer:
\(\frac{-10}{7}\)
Step-by-step explanation:
Use the formula
m= \(\frac{y2-y1}{x2-x1}\)
another way to say this is Δy divided by Δx
Δ means "change in"
m = slope
The y2 value is -7
The y1 value is 3
The x2 value is 5
The x1 value is -2
Plug those values in the formula
m = \(\frac{(-7)-3}{5-(-2)}\)
Simplify
m = \(\frac{-10}{7}\)
The slope is \(\frac{-10}{7}\)
a)231*12 531*23 505*11 402*44 b) 516*25 893*72 860*91 c) 413*25 120*518 119*98 7*00*125 d) 7800*8600 980*37000 1860*890 5800*4700. * = razy
HELPP
You want to enclose a rectangular region with an area of
1200 square feet and a length of 40 feet, 50 feet, or 60 feet.
Find the perimeter for each possible region. Explain why
you might rewrite the area formula to find the solutions.
The possible perimeters are 140 feet, 148 feet and 160 feet.
In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.
What are the possible perimeters?A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.
Area of a rectangle = length x width
Width = area / length
1200 / 40 = 30 feet
1200 / 50 = 24 feet
1200 / 60 = 20 feet
Perimeter of a rectangle = 2 x (length + width)
Perimeter when width is 30 feet : 2(40 + 30) = 140 feet
Perimeter when width is 24 feet : 2(24 + 50) = 148 feet
Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet
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Which function is graphed below?
On a coordinate plane, an exponential decay function is shown. The curve starts in quadrant 2 and decreases into quadrant 1. It crosses the y-axis at (0, 3) and approaches y = 0 in quadrant 1.
y = one-third (3) Superscript x
y = 3 (one-third) Superscript x
y = (one-half) Superscript x Baseline + 2
y = (2) Superscript x Baseline minus 1
Option B. y = 3 (one-third) Superscript x is the function that is graphed in this question.
How to solve the problemWe have exponential functions to be of the form abˣ
This can be written in the form of f(x) = \(3\frac{1}{3} ^x\)
So it crosses through the point (0, 3).
From the way that the curve passes through the circle, we can see that the it is said to pass through at (0, 3) and approaches y = 0 in quadrant 1
Hence this would put our answer to be y = 3 (one-third) Superscript x
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Answer:the answer is b dont care
Step-by-step explanation:
On a coordinate plane, an exponential decay function is shown. The curve starts in quadrant 2 and decreases into quadrant 1. It crosses the y-axis at (0, 3) and approaches y = 0 in quadrant 1.
y = one-third (3) Superscript x
y = 3 (one-third) Superscript x
y = (one-half) Superscript x Baseline + 2
y = (2) Superscript x Baseline minus 1
find the midpoint of the line segment with endpoints p1 (5/3,5/12) and p2 (-1/3,7/12)
PLEASE HELP, ITS A TEST PLEASE
Quadrilateral ABCD is being translated to the 3rd quadrant
A's coordinates are (6,-2) B's coordinates are (6,-5)
C's coordinates are (3,-2) D's coordinates are (3,-5)
What will the coordinates be after being translated to the 3rd quadrant?
Answer:
Write the coordinates for the vertices of AH'K'L'after ... 5 1. Write a description of the rule (x,y) → (x+8, y-3). (a) translation 8 units to the ... plot and label A'. 2. 3. 4. 5. 6. A'L3.5. 3. Point D(-4,-1) is rotated 90° counter- ... AABC is given with coordinates Al-5, 1), B(-3, 6), and C(-2, 3). ... X-axis, in which quadrant will its image lie?
A cylinder open on both ends has a diameter of 10 decimeters(dm) and a height of 10 decimeters(dm). What is the
surface area of the cylinder?
314 dm ²
471 dm ²
628 dm ²
157dm2
the surface area of the cylinder is approximately 471 dm².
Now, For the surface area of the cylinder, we need to find the lateral area and the area of the two circular bases.
Since, The formula for the lateral area of a cylinder is
L = 2πrh,
where r is the radius of the cylinder and h is the height.
In this case, the diameter is 10 dm,
So the radius is 5 dm.
And the height is also 10 dm.
Therefore, the lateral area is:
L = 2πrh
L = 2π(5 dm)(10 dm)
L = 100π dm²
The formula for the area of a circle is
A = πr²,
where r is the radius.
In this case, the radius is 5 dm,
So the area of each base is:
A = πr²
A = π(5 dm)²
A = 25π dm²
To find the total surface area, we add the lateral area and the area of the two bases:
SA = 2(Area of Base) + Lateral Area
SA = 2(25π dm²) + 100π dm²
SA = 50π dm² + 100π dm²
SA = 150π dm²
Substitute pi as 3.14, we can calculate:
SA ≈ 150(3.14) dm²
SA ≈ 471 dm²
Therefore, the surface area of the cylinder is approximately 471 dm².
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7÷94 using repeated subtraction anyone know the answer
Answer:
12 remainder 3
Step-by-step explanation:
94- 7=87
87-7=80
80-7=73
73-7=66
66-7=59
59-7=52
52-7=45
45-7=38
38-7=31
31-7=24
24-7=17
17-7=10
10-7=3
We were able to subtract 7 from 94 12 while times! We ended up with a remainder of 3, our answer can be written as 12 R 3 or if you wnat it in decimal form its or 13.43
Find the sum a + (a + 1) + (a + 2) + ... + (a + n - 1) in terms of a and n.
Part (b): Find all pairs of positive integers (a,n) such that n greater than 2 and a + (a + 1) + (a + 2) + ... + (a + n - 1) = 100.
(a) The sum a + (a + 1) + (a + 2) + ... + (a + n - 1) is Sn = n/2 * (a + n)
It can be represented as the sum of an arithmetic series. The nth term of the series is (a + n - 1) and the first term is a.
The common difference between consecutive terms is 1. The formula to calculate the sum of an arithmetic series is:
\(Sn = n/2 * (2a + (n - 1)d)\)
Where n stands for the number of terms, a will be the first term, and d is a common difference. By substituting the values for n, a, and d, we'll get:
Sn = n/2 * (2a + (n - 1) * 1)
Sn = n/2 * (2a + n - 1)
Sn = n/2 * (a + n)
(b) The pairs of positive integers (a,n) that will fulfill the conditions are (10,10), (15,8), and (20,6).
To find all pairs of positive integers (a,n) such that n is greater than 2 and a + (a + 1) + (a + 2) + ... + (a + n - 1) = 100, we can rearrange the formula from the above problem part (a) to solve for a:
Sn = n/2 * (a + n) = 100
a = 2 * (100/n) - n
Since a must be a positive integer, we can use trial & error to find all possible values of n that make a positive integer. Here are some of the solutions:
For n = 10, a = 10.
For n = 8, a = 15.
For n = 6, a = 20.
So the pairs of positive integers (a,n) that satisfy the conditions are (10,10), (15,8), and (20,6).
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Can someone help me w this please
Answer:
A scale factor of 2.5
Step-by-step explanation:
3x = 7.5
x = 7.5/3
x = 2.5
a student spends 18 out of 35 of his pocket money on transport and fruit what is the fraction left?
To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.
The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.
Therefore, the fraction of pocket money left can be written as 17/35.
For what value of c is a real solution to the equation 4x^2 - 8x+ c = 0?
The value of c is a real solution to the equation \(4x^{2}-8x +c\) = 0 is 4
What are Real mathematical solutions ?In algebra, a "real solution" is any answer to an equation that is a real number.
There is just one true solution where discriminant b2 - 4ac equals zero. The equation x2 + 2x + 1 = 0 has one solution, x = -1.
Depending on whether the discriminant is positive, zero, or negative, there are many answers to the quadratic equation that has been presented.
A positive discriminant indicates that the quadratic has two distinct real number solutions.
A discriminant of zero indicates that the quadratic equation has a repeating real number solution.
The quadratic equation given is
\(4x^{2}-8x +c\) = 0
For real solution
Discriminant = 0
\(b^{2}-4ac\) = 0
\(8^{2}-4(4)(c)\) = 0
64 - 16c = 0
-16c = -64
c = 4
The value of c is a real solution to the equation \(4x^{2}-8x +c\) = 0 is 4
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1
8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, what amount can be caught at the end of this time
Answer:
At the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.
Step-by-step explanation:
Given that 8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, to determine what amount can be caught at the end of this time the following calculation must be performed :
100 - 20 = 80
Year 0 = 8 million
Year 1 = 8 x 0.8 = 6.4 million
Year 2 = 6.4 x 0.8 = 5.12 million
Year 3 = 5.12 x 0.8 = 4,096 million
Year 4 = 4.096 x 0.8 = 3.2768 million
Thus, at the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.
Calculator Triangle ABC is similar totriangle DEF. The length of AC is 12 cm. The length of EF is 35 cm. The length of DF is 20 cm What is the length of BC ? Enter your answer in the box. cm
Answer:
BC = 21 cm
Step-by-step explanation:
In similar triangles the corresponding sides are in same proportion.
Its given in the sum that AC = 12 cm; DF = 20 cm and EF = 35 cm.
\(\sf \dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}\\\\\\\dfrac{AC}{DF}=\dfrac{BC}{EF}\\\\\dfrac{12}{20}=\dfrac{BC}{35}\)
\(\sf \dfrac{12}{20}*35=BC\\\\\\\dfrac{12}{4}*7=BC\\\\\\3*7=BC\\\\ \boxed{BC = 21 cm}\)
Does anyone know how to do this? Please help!
please answer thank you
Answer:
6.
sin 26=opposite/hypotenuse
sin26=22/x
x=22/sin26
x=50.19
x=50.2
I GIVVVVVVE EEEEEE BRAINLILST
Answer:
1/5
Step-by-step explanation:
If you focus on one of the coordinates, for example (10,10) you will notice that 10 divided by 5 equals 2. If you do that on both X and Y it will give you 2. The black shape's top right cordinate is (2,2) which explains why its 1/5...
Can I plz have it!
express1470 and 7056 as a product of prime factors hence eveluate leaving the answer in prime factors form
Answer:
Step-by-step explanation:
the prime factors of 1470= 2 x 3 x 5 x 7 x 7
also of 7056=2 x 2 x 2 x 2 x 3 x 3 x 7 x 7
hence of
1470 x 7056=2 x 3 x 5 x 7 x 7 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7
required answer pls hit the stars and brain-list it
12
Select the correct answer.
The scatter plot represents the purchase prices and selling prices of X-ray machines made by five different manufacturers. Which of the following
points show errors of prediction or residuals?
OA.
OB.
O C.
O D.
Points (14, 25) and (15, 25)
Points (15, 25) and (18, 26)
Points (14, 25) and (16, 25)
Points (12, 24) and (18, 26)
Estimated Selling Price (in $1,000)
26.5
26-
25.5
25
24.5
24
23.5
10
11
12 13 14 15 16 17 18 19 20
Purchase Price (in $1,000)
The points on the scatter plot show the different predictions. The straight line drawn is called the line of regression.
Errors in prediction for each point can be determined by drawing a vertical line from the point to the line of regression. As seen in the image, all of the prediction points are found on the line except for points (14,25) and (16,25). Therefore, these points contain errors in prediction.
The graph that represent this data using the points is added as an attachment
From the question, we have the following parameters that can be used in our computation:
The x and y values
Where
x = stars
y = price
To determine the graph that represent the data, we enter the x and y values in a graphing tool to create the graph
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Please help me with this I need the help
tebogo is a street vendor who buys blankets from a wholesaler for R60 per blanket.he is restricted to 50 blankets per month.his total costs include a monthly delivery fee of R120 and rent for selling space .calculate his total cost per month
Answer:
here is not much information
Step-by-step explanation:
To calculate Tebogo's total cost per month, we need to consider the cost of blankets, delivery fee, and rent for selling space.
Cost of blankets:
Tebogo buys blankets from the wholesaler at R60 per blanket. Since he is restricted to 50 blankets per month, the cost of blankets is calculated as follows:
Cost of blankets = R60 per blanket x 50 blankets = R3000
Monthly delivery fee:
Tebogo incurs a monthly delivery fee of R120.
Rent for selling space:
The rent for selling space is not provided in the given information. To calculate the total cost per month, we would need the specific amount for rent.
To determine the total cost per month, we can sum up the costs:
Total cost per month = Cost of blankets + Monthly delivery fee + Rent for selling space
However, since the rent for selling space is not provided, we cannot calculate the exact total cost per month without that information.
Which property is illustrated by the equation?
(2x + 1) + 3y = 2x + (1 + 3y)
Answers: Commutative Property of Addition, Identity Property of Addition, Associative Property of Addition, or Distributive Property of Addition.
Answer:
Associative Property of Addition
Step-by-step explanation:
Associative Property of Addition - if the grouping changes, the answer will be the same - Correct (2 + 3) + 5 = 2 + (3 + 5)
Identity Property of Addition - anything added by 0 will equal itself (5 + 0 = 0, 2.3 + 0 = 2.3, etc.)
Commutative Property of Addition - if the order changes, the answer will be the same (2 + 3 = 5 and 3 + 2 = 5 also)
Distributive Property of Addition - allows you to "distribute" a number (2(3 + 5) = 2 * 3 + 2 * 5 = 6 + 10 = 16)
Could you please help me on this question out really appreciate it!
The average age of doctors in a certain hospital is 42.0 years old with a standard deviation of 10.0 years. If 16 doctors are chosen at random for a committee, find the probability that the mean age of those doctors is less than 43.50 years. Assume that the variable is normally distributed. Group of answer choices
There is a 65.54% probability that the average age of those doctors is under 48.8 years.
What is probability?Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.
It is written as a number between 0 and 1, or between 0% and 100% when represented as a percentage.
The possibility of an event occurring increases as it gets higher.
True mean = mean (or average)+/- Z*SD/sqrt (sample population)
Then,
Mean (average) = 48.0 years
The true mean must be less than 48.8 years.
SD = 6.0 years, and
Sample size (n) = 9 doctors
Using Z as the formula's subject:
Z= (True mean - mean)/(SD/sqrt (n))
Inserting values:
Z=(48.8-48.0)/(6.0/sqrt (9)) = 0.4
From the table of normal distribution probabilities:
At Z= 0.4, P(x<0.4) = 0.6554 0r 65.54%
Therefore, there is a 65.54% probability that the average age of those doctors is under 48.8 years.
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Complete question:
The average age of doctors in a certain hospital is 48.0 years old. suppose the distribution of ages is normal and has a standard deviation of 6.0 years. if 9 doctors are chosen at random for a committee, find the probability that the average age of those doctors is less than 48.8 years. assume that the variable is normally distributed.
Help ASAP please! JKL is a right triangle. JL = 10, KL = 8,
and JK = 6. What is cos L?
Answer:
Answer B is correct
Step-by-step explanation:
Hey there,
\(cos \; L \;\;= \frac{adjecent}{hypotenuse}\)
\(cos\; L = \frac{8}{10}\)
The answer is,
\(\frac{8}{10}\)
Hope this helps you.
Let me know if you have any other questions :-)