To write the ratio using fraction notation just divide the first number over the second and if possible, simplify. So you have
\(30\text{ to 45 }\Rightarrow\frac{30}{45}\)Now, simplify
\(\frac{30}{45}=\frac{15\cdot2}{15\cdot3}=\frac{2}{3}\)Therefore, the given ratio as a ratio of whole numbers using fractional notation will be
\(\frac{2}{3}\)The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B
Answer:
B (1, -3)
Step-by-step explanation:
Step 1: Use the midpoint formula to find the coordinates of the endpoint:
Normally, we find the midpoint of a segment using the midpoint formula, which is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:
x-coordinate of B:
x-coordinate of midpoint = (x1 + x2) / 2
(-2 = (-5 + x2) / 2) * 2
(-4 = -5 + x2) + 5
1 = x2
Thus, the x-coordinate of the endpoint B is 1.
y-coordinate of B:
y-coordinate of midpoint = (y1 + y2) / 2
(2 = (7 + x2) / 2) * 2
(4 = 7 + x2) -7
-3 = y2
Thus, the y-coordinate of the endpoint B is -3.
Thus, the coordinates of the endpoint B are (1, -3).
4(x-7)=2(x+3) solve for x
Answer:
x=17.... I checked on mathaway and did it myself should be correct
Answer:
x=17
Step-by-step explanation:
2(x-7)=(x+3) divide both sides by two
2x-14 =(x+3) distribute
2x-14-x-3=0 substract x+3
x-17=0 combine like terms
x=17 add 17 to both sides
Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 7 mi/h. How long will it be before Amanda catches up to Ben?
Amanda will catch up to Ben after approximately 36 minutes.
How to determine when Amanda catches upTo determine how long it will take for Amanda to catch up to Ben, we can set up an equation based on their respective speeds and the time difference.
the distance traveled by Ben is given by:
Distance = Speed * Time
Distance = 2 mi/h * (t + 1.5) h
the distance traveled by Amanda is given by:
Distance = Speed * Time
Distance = 7 mi/h * t h
equating both distances
2(t + 1.5) = 7t
2t + 3 = 7t
3 = 5t
t = 3/5
Therefore, it will take Amanda 3/5 of an hour (or 36 minutes) to catch up to Ben.
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Fernando cleans pools for the summer for $25 an hour plus a supply fee of $15.
Which equation models the cost for having Fernando clean a pool for x hours and how much will a 3-hour cleaning cost?
A. y=25x+15;90
B. y=(25+15)+x;43
C. y=15x+25;70
D. y=(25+15)x;120
Explanation:
Answer:
15x+25 ; 70
Step-by-step explanation:
Given that,
Fernando cleans pools for the summer for $25 an hour plus a supply fee of $15.
Here, $25 is constant and $15 increases as the number of hour increase. For x hours, the cost for Fernando to clean a pool is given by :
y = 15x+25
For 3 hours,
y = 15(3)+25
= 45 + 25
= 70
So, the required option is (c) " 15x+25 ; 70 ".
what is the answer hurry plssssssss asap
Answer:
See below!
Step-by-step explanation:
Given equation:y = x² + 1
When x = -2:y = (-2)² + 1
y = 4 + 1
y = 5
When x = -1:y = (-1)² + 1
y = 1 + 1
y = 2
When x = 0:y = (0)² + 1
y = 0 + 1
y = 1
When x = 1y = (1)² + 1
y = 1 + 1
y = 2
When x = 2:y = (2)² + 1
y = 4 + 1
y = 5
\(\rule[225]{225}{2}\)
Suppose that a random sample of 18 adult U.S. males has a mean height of 70 inches with a standard deviation of 1.5 inches. If we assume that the heights of adult males in the U.S. are normally distributed, find a 90% confidence interval for the mean height of all U.S. males. Give the lower limit and upper limit of the 90% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
Lower limit:
Upper limit:
The lower limit is 69.4 inches and the upper limit is 70.6 inches.
The 90% confidence interval for the mean height of all U.S. males can be calculated using the formula:
\(CI = \bar{x} \pm\(\dfrac{\sigma}{\sqrt{n}}\)
Here \(\bar{x}\) is the sample mean, σ is the population standard deviation, n is the sample size, and z is the z-score corresponding to the desired confidence level.
For a 90% confidence level, z = 1.645.
Substitute the given values, and we get:
CI = 70 ± 1.645(1.5/√18)
CI = 70 ± 0.581
Lower limit = 70 - 0.581= 69.419
Upper limit = 70 + 0.581= 70.581
Therefore, the 90% confidence interval for the mean height of all U.S. males is [69.4, 70.6] inches.
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Will give brainliest answer
Answer: 2/5x to the second.
may I have the brainiest? pls
Solve: |8x + 71|< 23
HELP ME LMQOAKSNSN
Answer:
Inequality Form:
− 47 /4 < x< − 6
Interval Notation:
( − 47/ 4 , − 6 )
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
S={(3,p),(3,0),(4,q),(1,4)}
Answer:
S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:
(3,p): The first element is 3 and the second element is p.
(3,0): The first element is 3 and the second element is 0.
(4,q): The first element is 4 and the second element is q.
(1,4): The first element is 1 and the second element is 4.
Which rational Expression Represents x^2 - 9/ 3x^2 * 3x^2 + 9x^2/x-3 when simplified if x ≠ 0 or 3.
The required simplified expression is: x² - 9/ 9x⁴ + 9x² for all x ≠ 0 or 3.
The given expression below is:
x² - 9 / (3x²)(3x²) + 9x²
To simplify the given expression, we must first distribute the terms on the numerator and denominator.
The numerator becomes x² - 9 and the denominator becomes (3x²)(3x²) + 9x².
Next, we must simplify the denominator by combining like terms. The denominator becomes 9x⁴ + 9x².
Finally, we can simplify the entire expression by dividing the numerator by the denominator.
This gives us the simplified expression: x² - 9/ 9x⁴ + 9x².
Note that this expression is not defined when x = 0 or x = 3, as it would result in a division by zero.
Thus, the final simplified expression is x² - 9/ 9x⁴ + 9x² for all x ≠ 0 or 3.
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all you need is on the photo I really needed heeeeelp
For row 1;
The price that gives a profit of zero dollars is
\(P(p)=-2p^2+24p-54\)For row 2,
The profit when the price is zero is
\(P(p)=-2(p-3)(p-9)\)For row 3,
price that gives the maximum profit is
\(P(p)=-2(p-6)^2+18\)the area of a square is seasonal 25 cm Square calculate the length of a diagonal to one decimal place .
Answer:
The answer is 7.1cm to 1d.p
Step-by-step explanation:
Area of square =L²
25=L²
√L²=√25
L=5cm
hyp²=opp²+adj²
x²=5²+5²
x²=25+25
x²=50
√x²=√50
x=7.1cm to 1d.p
What decimal place is .987 in
Answer:
A
Step-by-step explanation:
.9 = tenth
.98 = hundredths
.987 = thousandths
Answer:
b).Thousandths
Step-by-step explanation:
Because if you go over THREE times like this
.987
←←←
it's in the thousandths place.
Hoped this helped
.7 - Tenth
.87- Hundredths
.987- Thousandths
Simplify. Identify any x value for which the expression is undefined x^2+3x/x^3
Answer:
x = 0
Step-by-step explanation:
I think you mean
\( \dfrac{x^2 + 3x}{x^3} \)
The only undefined values of x come from the denominator, x^3.
A denominator cannot equal zero since division by zero is undefined.
Therefore if x^3 equals zero, you get an un defined expression.
We let x^3 = 0 and solve for x to find the values of x that would cause an undefined expression.
x^3 = 0
Solve for x by taking the cubic root of both sides.
x = 0
Answer: x = 0
10. Higher Order Thinking Each of 5 friends has x action figures in
his or her collection. Each friend buys 11 more action figures. Now
the 5 friends have a total of 120 action figures.
a. Write an equation that models the problem.
b. Solve the equation to find the number of action figures, x, that
each friend had originally.
Each friend had originally 13 action figures before buying 11 more.
Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.
a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.
Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.
The total number of action figures will be 5(x + 11) = 5x + 55.
Now, according to the problem,5x + 55 = 120
This is our equation that models the problem.
b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.
5x + 55 = 120
5x = 120 - 55 (subtract 55 from both sides)
5x = 65x = 13
Therefore, each friend had originally 13 action figures before buying 11 more.
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Someone please help me find the area I’ll give brainliest
Answer:
The area of the rectangle? If so it's 240.
Find the surface of the rectangular solid
Answer: 80.28 square feet
Step-by-step explanation:
\(2(6.1\cdot 3+3\cdot 2.4+2.4 \cdot 6.1)=80.28\)
Round to the nearest angle. Plssss help:)
1493600÷8 i need full steps
When 1,493,600 is divided by 8 the quotient is 186,700.
To divide 1,493,600 by 8, you can follow these steps:
We have to write down the dividend (1,493,600) and the divisor (8).
Now start with the largest place value in the dividend (the leftmost digit) and perform the division.
Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.
Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.
Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.
Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.
Divide 9 by 8. The quotient is 1, and the remainder is 1.
Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.
Divide 13 by 8. The quotient is 1, and the remainder is 5.
Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.
Divide 56 by 8. The quotient is 7, and there is no remainder.
Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.
Divide 70 by 8. The quotient is 8, and there is no remainder.
There are no more digits to bring down, and the division is complete.
The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.
Therefore, the result of 1,493,600 ÷ 8 is 186,700.
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Anything helps :) thank you
Answer:
the first one is (23)
number 7 is ( 34.069)
Step-by-step explanation:
ITS EASY I PROMISE PLEASE NOW
Answer:
I'm pretty sure the answer is B
Step-by-step explanation:
Hope this helped :) Sorry if its wrong
Answer:
b
Step-by-step explanation:
I like to think of it as this:
If the circle is filled, it is \(\leq or \geq \\\) (more)
If not, it's < or >
The arrow points in the direction the line is going.
In this graph, the line is going to the left. So is the symbol.
How do you evaluate 35/a. When a =7
Answer:
5
Step-by-step explanation:
\(35/a\), when a = 7
Substitute
\(35/7\) \(=5\)
Answer:
5
Step-by-step explanation:
You substitute 7 for a in the equation.
35/a ——> 35/7
Evaluate it and your answe is 5.
I hope it helps! Have a great day!
Lilac~
the following are the populations for the top twelve largest cities in the u. s. new york city, ny: 8,336,817 los angeles ca: 979.576 chicago, il:2,693,976 houston, tx: 2,320,268 phoenix az: 1,680,992 philadelphia pa: 1,584,064 san antonio tx: 1, 547,253 san diego ca: 1,423,851 dallas tx: 1,343,573 san jose ca: 1,021,795 austin tx:978,908 jacksonvill fl: 911,507. what is the mean population?, what is the median population?, what is th emode?, what is range?, what is the standard deviation?
The mean population in the U.S. is 2,068,548.
The median population in the U.S. is 1,565,659.
There is no mode in the dataset.
The standard deviation of the populations for the top twelve largest cities in the U.S. is 2,279,894.12.
What are the centre of measures of the states?To find the mean population, we need to sum up all the populations and divide by the total number of cities.
Mean = EF / n
Mean = 8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507
Mean = 24, 822,580 / 12
Mean = 2068548.33333
Mean = 2,068,548
Arranging populations in ascending order:
\(911,507, 978,908, 1,021,795, 1,343,573, 1,423,851, 1,547,253, \\1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817, 979,576\)
Median population = (1,547,253 + 1,584,064) / 2
Median population = 1,565,658.50.
The mode represents the value(s) that appear most frequently in the dataset. In this case, there is no single mode as each population value occurs only once. Therefore, we can say that there is no mode in the dataset of the top twelve largest cities in the U.S.
Standard Deviation:
\(\sqrt{(8,336,817 - 1,574,232)^2 + (979,576 - 1,574,232)^2 + (911,507 - 1,574,232)^2) / 12}\\\\\)
\(= \sqrt{62,333,273,003,930 / 12}\\= \sqrt{5,194,439,417,828.33} \\\\= 2,279,894.12\)
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Can someone help me
Answer:
Y = -½x + 3/2
Y = -3x + 5
Y = 1/4x - 3¼
Step-by-step explanation:
Parallel implies they have the same gradient
Perpendicular implies the gradient is a negative reciprocal of the other.
I need help!!!! pleaseee
The genotype ratio is: 1 TT : 1 Tt : 0 tt
The phenotype ratio is : 4 Tall : 0 Short
100 percent of the offspring will be tall.
What is Genotypic and Phenotypic ratio?Genotypic ratio is the ratio between the genetic makeup among the offspring population.
On the other hand, the ratio between the offspring population for an observable characteristic is the phenotype ratio.
The given test cross is between a homozygous tall parent and a heterozygous tall parent.
Using a Punnett square,
The result will be as shown below.
T t
T TT Tt
T TT Tt
Genotype : 1 TT : 1 Tt : 0 tt
Phenotype : 4 Tall : 0 Short
100 percent of the offspring will be tall.
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15 is what % of 60?
Help help help help help
Answer:
25
Step-by-step explanation:
Hello there!
15 is 25% of 60 (one-quarter).
Hope this helps you!
~Just a teen listening to songs
\(SilentNature\)
The function f(x)f(x) is graphed below. What is true about the graph on the interval from point aa to point bb?
To analyze the function on the interval from a to b, check this:
Where the function is respect to x axis.
What is the function behavior when the values of x gets bigger.
According to the graph, the function is located below the x axis on the interval from a to b, which means that the function is negative on this interval.
Also it is possible to observe that the greater the value of x, the smaller the value of f(x) (on the given interval). It means that the function presents an decreasing behavior on the interval from a to b.
Knowing this, it is possible to determine that the true about the function is that it is negative and decreasing.
An account pays 7% per year simple interest. In year 1, the amount in the
account is
$950. How much is in the account in year 6?
The amount in year 6 is $1282.5.
What is simple interest?
Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Given,
rate of interest = 7%
time = 1 year
Amount on first year = $950
First we will calculate simple interest for 5 years, because amount is available for 1 year.
SI =PRT
SI = 950(7/100)1
SI = $332.5
Therefore, the amount after 6 years = 950+332.5
=$1282.5
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Please look at the picture below
The figure is a composite figure compromising of a rectangle OHKN, two triangles ∆LMN and ∆HJK, and a semicircle of arc HP, hence the total area will be derived by the sum of area for each basic shapes.
How to find the area of the composite figureWe can observe from the figure that the lines OL and HK are parallel, likewise the lines OH and NK, so OHKN is a rectangle and its area can be simply derived by multiplying its length by the width.
LMN and HJK are two different triangles and their area can be derived by half of the multiple of their base and height.
we will be left with a semicircle of arc HP and the area is derived using the formula πr²/2, where r is the radius.
In conclusion, the area of the figure will derived by the sum of area for each basic shapes(rectangle OHKN, triangles ∆LMN and ∆HJK, and semicircle of arc HP).
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A 100 foot long moving walkway moves at a constant rate of 6 feet per second. Al steps onto the start of the walkway and stands. Bob steps onto the start of the walkway two seconds later and strolls forward along the walkway at a constant rate of 4 feet per second. Two seconds after that, Cy reaches the start of the walkway and walks briskly forward beside the walkway at a constant rate of 8 feet per second. At a certain time, one of these three persons is exactly halfway between the other two. At that time, find the distance in feet between the start of the walkway and the middle person.
The distance between the start of the walkway and the middle person is 52 feet.
It is given that a 100 foot long moving walkway moves at a constant rate 6 feet per second.
AI steps into the start of the walkway and stands this means speed of AI is 6 feet per second.
Bob steps onto the start of he walkway two second later and stolls forward along walkway 4 feet per second that means 10 feet [per seconds.
And CY reaches the starts of the walkway and walks briskly forward beside the walkway at a rate of 8 feet per second.
At the time s we gave that,
\(\frac{8(s-4)+10(s-2)}{2}\) = 6s
\(\frac{8s -32 + 10s - 20}{2}\) = 6s
18s - 52 = 12s
6s = 52
s = \(\frac{26}{3}\)
At the time AI has travels,
6* \(\frac{26}{3}\) = 52 feet.
Therefore distance between the start of the walkway and the middle person is 52 feet.
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