there were 60 people in the town's first annual parade. That number has been growing by about 5% each year. predict the number of people in the towns 25th annual parade
The number of people in the 25th annual parade in the town, can be found to be 203 people
How to find the number of people?The number of people that attend the town parade, has been increasing by 5% each year since the first year. In that first annual parade, 60 people showed up.
The number of people in the 25th parade can be found by the formula:
= Number of people in first parade x ( 1 + growth rate) ^ number of years
= 60 x ( 1 + 5% ) ²⁵
= 60 x 3.3863549408993848167083336666837
= 203 people
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Rewrite the following expression in logarithmic form:
2^9=512
Answer: log(2) 512= 9
Step-by-step explanation:
A P E X ;)
In logarithmic form, the expression [tex]2^9 = 512[/tex] can be rewritten as follows:
[tex]log_{(2)}\ 512 = 9[/tex]
As we know that the logarithmic form allows us to express the exponent as the logarithm of the base to a certain value, which in this case is 9.
To understand this, let's break down the expression.
The base of the logarithm is 2, and the result of raising 2 to the power of 9 is 512.
By taking the logarithm of 512 to the base 2, we get the exponent, which is 9.
So, in logarithmic form can be written as:
[tex]log_{(2)}\ 512 = 9[/tex]
Therefore, in logarithmic form, the expression [tex]2^9 = 512[/tex] can be rewritten as follows:
[tex]log_{(2)}\ 512 = 9[/tex]
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What is the greatest common factor for 12 and 54? enter your answer in the box.
Answer:
6
Step-by-step explanation:
Factors for 12: 1, 2, 3, 4, 6, 12
Factors for 54: 1, 2, 3, 6, 9, 18, 27, 54
It's 6.
The greatest common factor of the numbers 12 and 54 will be 6.
Given that:
Numbers, 12 and 54
The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).
The factors of the numbers 12 and 54 are calculated as,
12 = 2² x 3
54 = 2 x 3³
The value of the greatest common factor is calculated as,
GCF = 2 x 3
GCF = 6
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what is 1.875 as fraction
Answer:
[tex]1\frac{7}{8}[/tex] or 15/8, 15/8 is an improper fraction
Step-by-step explanation:
or 15/8, but 15/8 is an improper fraction
Which of the following is a point-slope equation of a line that passes through
the points (5,2) and (-1,-6)?
O A. y-2-(X-5)
O B. y-2--x-5)
O C. y-2--|(x-5
OD. y-2-(x-5)
To find the equation in point-slope of a line passing through two points, we can use the formula: [tex]y - y₁ = m(x - x₁)[/tex] Where (x₁, y₁) are the coordinates of one point, m is the slope of the line, and (x, y) are the coordinates of any other point on the line and [tex]y-2-(x-5)[/tex] Therefore the correct option is D.
Given that the two points are (5,2) and (-1,-6), we can substitute these values into the formula: [tex]y - 2 = m(x - 5)[/tex](using point 1: ([tex]5,2)) y + 6 = m(x + 1[/tex]) (using point 2: (-1,-6)) Now, let's simplify the equation: y = mx - 5m + 2 (equation 1) y = mx + m - 6 (equation 2) From equations 1 and 2, we can determine that the expected point-slope equation will have the form y - 2 = m(x - 5),
which matches option D. Therefore, the correct point-slope equation of the line passing through the points (5,2) and (-1,-6) is: y - 2 = m(x - 5)
Hence the correct option is D
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Please Help fast I don’t know
Determine the intercepts of the line. 3x + 12
Answer:
Step-by-step explanation:
y=−3x+12
when x=0 then y=12 , the y intercept is (0,12)
when y=0 then -3x+12=0, -3x=-12, x=12/3=4
x intercept =(4,0)
Please help I can’t figure this out
Answer:
x+63=15x-21, 14x=84, x=6, based on that NMO=69 and LMO=69 because they must be =
Step-by-step explanation:
in a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b what is the value of b, if c=13, a=12?
Answer:
5
Step-by-step explanation:
a=12 (height)
c=13 (hypotenous)
b=? (base)
By using Pythagoras theorm
We have, hypotenous sq=base sq+height sq
Let b =base SO, base sq=hypotenous Sq-height Sq
=>base Sq =13sq-12sq
Base Sq =169-144
Base Sq =25
Base =5 (shifting the sq)....
Hope it's helpful
13. Photography world has a portrait special. A
three-pose portrait package has a sitting fee of $35,
and a six-pose package has a sitting fee of $60. On a
Saturday, $690 was collected in sitting fees. Which
equation can be used to represent x, the number of
three-pose portrait packages, and y, the number of
six-pose portrait packages?
A. 360x + 105y = 690
B. 35x + 60y = 690
C. 60x + 35y = 690
D. 105x + 360y = -690
Answer:
35x + 60y = 690
Why:
We need to correct number to represent X (which is 35) and Y (which is 60).
And 35x + 60y = 690, 690 being the total, fits what we need to answer.
All of the other options display an incorrect number for the X and Y values.
Answer:
35x + 60y = 690
Step-by-step explanation:
help need done fast pls.
Answer:
80 degrees
Step-by-step explanation:
Triangle has 180 add the 2 you already have and subtract from 180
Solve for the complimentary angle b
Answer:
b = 38
Step-by-step explanation:
The two angles form a 90 degree angle so they add to 90
b+52 = 90
Subtract 52 from each side
b+52-52 =90-52
b = 38
Answer:
38
Step-by-step explanation:
90-52=38
and the little box indicates it's a right angle which is 90 degrees
Mrs. Jones places 3 orders for school T-shirts. Each order has 16 boxes of shirts and each box holds 17 shirts. How many T-shirt does Mrs.Jones order?
Answer:
816 T-shirts
Step-by-step explanation:
16 boxes * 17 shirts = 272 shirts total in 16 boxes
272 shirts * 3 orders = 816 shirts
please answer, what is the solution of the system below? how do you know?
Answer:
(1,3)
Step-by-step explanation:
The solution is where the two lines intersect.
In this graph, it's (1,3)
Solve for y.
4y2 +9y=-2
if m=3 and n=-4 calculate the value of mn +n²
Answer:
28
Step-by-step explanation:
-4×-4=16
3×4=12
12+16=28
find the answer for 10 + 10
Answer:20
Step-by-step explanation:
Write an equation of the line below
Answer:
ok.
Step-by-step explanation:
y=-1/1x+4. hope this helped :))
Answer: y= -8/8x + 4
or y=-x+4
Step-by-step explanation:
82. If AB has endpoint A (2,13) and midpoint (10, -1) then
give the coordinate of B.
Answer:
3
Step-by-step explanation:
The required coordinates of point B are (18, -15) where AB has endpoint A (2,13) and midpoint (10, -1).
What is the midpoint?The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) are given by the formula (x₁ + x₂)/2, (y₁ + y₂)/2.
As per the question, we are given that AB has endpoint A (2,13) and midpoint (10, -1)
We can use these coordinates to find the coordinates of point B, which is the midpoint of line segment AB.
Let the coordinates of B would be (x, y)
Substituting the coordinates of points A into the midpoint formula gives us :
10 = (x+2)/2 ; -1 = (y+13)/2
20 = x +2 ; -2 = y + 13
x = 18 ; y = -15
Therefore, the required coordinates of point B are (18, -15).
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I can’t find the answer please help
Answer: A
Step-by-step explanation:
81 - 1 1/5x [tex]\leq[/tex] 55 The first thing you could do is convert the mixed fraction into an improper fraction.
1 1/5 to an improper fraction is -6/5
Now rewrite the inequality as,
81 - 6/5x [tex]\leq[/tex] 55 Subtract 81 from both sides
-81 -81
-6/5x [tex]\leq[/tex] -26 Multiply both sides of the inequality by 5
-6x [tex]\leq[/tex] -130 Divide both sides by -6 and the sign will me flip since your divide both sides by a negative number.
x ≥ 130/6 Convert 130/6 to a mixed fraction
x ≥ 21 2/3
Can you guys help me find the answer, I’m in 6th grade?
A company that makes hair care products had 9,000 people try a new shampoo. Of the 9,000 people,
18 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
0.2%
Step-by-step explanation:
18/9000×100%
now use calculator
Answer: 0.2 percent
Step-by-step explanation:
This is the number of people who were allergic to the shampoo/ total people
18/9000
Simplify!
1/500=0.02=0.2 percent of people
Holly is painting her garage. She estimates it will take her
4.5 hours to complete the job. Her brother Jasper offers to help and can paint at half the rate Holly paints. About how many hours should it take for both siblings to complete the job?
Answer:
3
Step-by-step explanation:
Using the work rate formula (1/Holly's time) + (1/Jasper's time which is twice of Holly's time) = 1/ Total time taken by both
Help with both please the picture has the instructions:)
Please help me soon
What is the partial fraction decomposition of 11x-38/(2x-5)(x-4)
Answer:
D
Step-by-step explanation:
7/2x-5+2/x-4 is the partial fraction decomposition of 11x-38/(2x-5)(x-4)
What is Fraction?A fraction represents a part of a whole.
We need to write the partial fraction decomposition of 11x-38/(2x-5)(x-4)
(11x-38)/(2x-5)(x-4)=A/2x-5+B/x-4
11x-38=A(x-4)+B(2x-5)
11x-38=Ax-4A+2Bx-5B
We need to find the values of A and B
Compare the coefficients of x
11=A+2B
A=11-2B
Compare the constants
-38=-4A-5B
-38=-4(11-2B)-5B
-38=-44+8B-5B
-38=-44+3B
-38+44=3B
6=3B
Divide both sides by 3
B=2
Now A=11-2(2)=7
Hence, 7/2x-5+2/x-4 is the partial fraction decomposition of 11x-38/(2x-5)(x-4)
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plz help! will give brainliest!!!
Answer:
A.
Step-by-step explanation:
It has both in it, so its correct
A school janitor has mopped
1/3 of a classroom in 5 minutes. At what rate is he mopping?
Answer:
1/3 of the school in 5 minutes or in 15 minutes he will mop the whole entire school.
Step-by-step explanation:
=================================================
Work Shown:
1/3 of a classroom = 5 minutes
3*(1/3 of a classroom) = 3*5 minutes
1 classroom = 15 minutes
It takes the janitor 15 minutes to mop a full classroom.
The rate is expressed in units of classrooms per minute. This means we'll need to divide both sides by 15 to get
1 classroom = 15 minutes
1/15 classroom = 15/15 minutes
1/15 of a classroom = 1 minute
The janitor's rate is 1/15 of a classroom per minute.
a box contains 7 black pencils and 28 blue onew what is the ratio between the black and blue pens
Answer:
1 : 4
Step-by-step explanation:
7 black : 28 blue = 7/28 ---> reduces to 1/4 ---> 1 : 4
The ratio between the black and blue pens [tex]\dfrac{1}{4}[/tex] or 0.25 or 1:4.
Given to us,
Number of black pens box contains = 7,
Number of blue pens box contains = 28,
[tex]\bold{Ratio\ between\ the\ black\ and\ blue\ pens = \dfrac{Number\ of\ black\ pens\ box\ contains}{Number\ of\ blue\ pens\ box\ contain} }[/tex]
Putting in the values we get,
The ratio between the black and blue pens [tex]=\dfrac{7}{28} = \dfrac{1}{4} =0.25[/tex],
Hence, the ratio between the black and blue pens [tex]\dfrac{1}{4}[/tex] or 0.25 or 1:4.
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On a horizontal number line, -45 is located to the left of -35
Answer:
true
Step-by-step explanation:
on a numberline, -45 is smaller than -32, so therefore -45 is to the left.
An inequality that represents the statement "on a horizontal number line, -45 is located to the left of -35" is -45 < -35.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality uses the less than symbol, <, to indicate that one number is to the left of the other on the number line.
The number on the left side of the inequality is -45, and the number on the right side is -35. This inequality is true because -45 is indeed located to the left of -35 on the number line.
Thus, the inequality that expresses the phrase "on a horizontal number line, -45 is to the left of -35" is -45 < -35.
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The question seems to be incomplete the correct question would be:
On a horizontal number line, -45 is located to the left of -35.
Find an inequality that represents this statement.