Answer: draw the line using a ruler on which you have identified points 2 7/16 inches apart
Step-by-step explanation: On your ruler graduated in inches with marks at 1/16-inch intervals, locate the 0 mark and the mark 1/16 inch before the half-inch mark between 2 and 3 inches.Draw your line along the edge of the ruler between the two marks you have identified: 0 and 2 7/16. The line will be 2 7/16 inches
Write an equation in slope-intercept form for the line shown in the graph.
Answer:
y=2x-2
Step-by-step explanation:
(2,2), (3,4)
4-2=2
3-2=1
2/1
Answer:
y = 2x - 2
Step-by-step explanation:
In the formula for a line, y = mx + b,
The slope, or m, is 2 because this line goes up 2 units and right 1 unit. The y-intercept, or b, is -2 because the line touches the y-axis at -2.Use the quotient rule to simplify the expression. Write the expression with positive exponents.
Answer:
\(\displaystyle 4^{4}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Dividing]: \(\displaystyle \frac{b^m}{b^n} = b^{m - n}\)Step-by-step explanation:
Step 1: Define
\(\displaystyle \frac{4^{-4}}{4^{-8}}\)
Step 2: Rewrite
Exponential Rule [Dividing]: \(\displaystyle 4^{-4 - (-8)}\)Subtract Exponents: \(\displaystyle 4^{4}\)f(x)=3x-7 and g(x)=(1/3)x+7 are inverses of each other.
.True
.False
Answer:
False
Step-by-step explanation:
Sorry for the lat reply hopefully you still have that question ready. But basically in order for these equations to be considered inverses of one another it has to map its domain value and switch it to the range value and in this case it does not match the inverse when graphed.
Tickets for a reserved seat, r, for the basketball game cost $4 each and student tickets, s, cost $3 each. There were 1,787 people who attended the basketball game and a total of $5,792 was earned in ticket sales. Select the two equations that represent the situation.
A) r+s=5,792
B) r+s=1,787
C) 3r+4s=5,792
D) 4r+s=5,792
E) 4r+3s=5,792
The two equations which can be used to represent the situation are;
r + s = 1787
4r + 3s = 5,792
The correct answer choice is option B and E
Write two equations that represent the situation?Reserved seat for basketball game = r
Students seat for basketball game = s
Cost of reserved seat tickets = $4
Cost of students tickets = $3
Total number of people who attended the basketball game= 1,787 people
Total amount earned for tickets sales= $5,792
r + s = 1787
4r + 3s = 5,792
Therefore, the basketball game situation can be represented by the equation r + s = 1787; 4r + 3s = 5,792
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Find the value of x so that the ratios 9 : x and 15 : 40 are equivalent.
Answer:
x = 24
Step-by-step explanation:
x/9 = 40/15
x/9 = 8/3
x/9 = 24/9
x = 24
If an investment company pays 6% compounded semiannually, how much will you have 5 years from now if you deposit $900?
How much would you earn if it were simple interest instead of compound interest?
With compound interest of 6% paid semiannually, a deposit of $900 would result in $1,191.02 after 5 years, while simple interest would earn $270, resulting in a total of $1,170.
To calculate the future value of an investment with compound interest, we can use the following formula:
FV =\(PV * (1 + r/n)^{(n*t)}\)
where FV, PV, r, n and t is the future value, present value, annual interest rate, number of compounding periods per year and number of years respectively.
In this case, the present value (PV) is $900, the annual interest rate (r) is 6%, and the interest is compounded semiannually, so there are 2 compounding periods per year (n=2). The period (t) of investment is 5 years.
Using these values, we can calculate the future value (FV) as follows:
FV = \(\$900 * (1 + 0.06/2)^{(2*5)\)
= \(\$900 * (1.03)^{10\)
= $1,191.02
Therefore, the future value of the investment after 5 years with compound interest would be $1,191.02.
If the interest were simple interest instead of compound interest, the calculation would be simpler. Simple interest is calculated as follows:
I = P x r x t
where I is the interest, P is the principal or present value, r is the interest rate, and t is the time period.
In this case, the interest rate is still 6% and the investment period is still 5 years, but the interest is calculated only on the principal amount of $900. Therefore, the interest earned would be:
I = $900 x 0.06 x 5
= $270
Therefore, the total amount after 5 years with simple interest would be the sum of the principal and the interest earned, which is:
Total = $900 + $270
= $1,170
Therefore, if the interest were simple interest instead of compound interest, the total amount after 5 years would be $1,170, and the interest earned would be $270.
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)The mean voltage of a battery is 15 and S.D 0.2.Find the probability that four such batteries connected in series will have combined voltage of 60.8 or more volts
The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.
In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.
The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.
The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.
Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.
First, we need to standardize the value of 60.8 using the formula:
Z = (X - μ) / σ
Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.
In this case, the standardized value is:
Z = (60.8 - 60) / sqrt(0.16)
Z = 0.8 / 0.4
Z = 2
Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.
Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
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Question is in the picture please help!!
Answer:
dilated by a factor of 2
8th term of 24,20,50/3
Answer: 6.698
Step-by-step explanation:
Answer:
6.698
Step-by-step explanation:
Have a good day :)
Try to change the number back to standard form: 8.24 x 103
Answer:
= 8.24 × 10³
(scientific notation)
= 8.24e3
(scientific e notation)
= 8.24 × 103
(engineering notation)
(thousand; prefix kilo- (k))
= 8240
(real number)
How do you convert from scientific notation to standard form?
To change a number from scientific notation to standard form, move the decimal point to the left (if the exponent of ten is a negative number), or to the right (if the exponent is positive). You should move the point as many times as the exponent indicates.
Please help i will give brainliest :)
there are 30 cupcakes in a tin. 16 of the cupcakes are iced of which 3 contain walnuts. 5 cupcakes are neither iced nor contain walnuts. work out the probability that the cupcake picked at random contains walnuts
The probability that the cupcake picked at random contains walnuts is given as follows:
0.4 = 40%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:
30.
The number of cupcakes with walnuts is given as follows:
3 that are also iced.30 - (16 + 5) = 9 that are not iced.Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:
p = (3 + 9)/30
p = 12/30
p = 0.4.
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If f(x)= 3x – 3 and g(x) = -x +4, then f(2)-9(-2)=
I might not be correct. I tried my best
the equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940. In this equation, a represents the average age and x represents the years since 1940. Estimate the year in which the average age of brides was the youngest
Answer:
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Step-by-step explanation:Please help me important question in image
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Answer:
The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.
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Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with μ = 151.5 ft and σ = 97.7 ft. You intend to measure a random sample of n = 226 trees.
What is the mean of the distribution of sample means?
μ¯x =
What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)?
σ¯x =
Report your answers rounded to 4 decimal places.
The mean of the random samples is the same as the mean of X, µ = 151.5.
The standard error is the standard deviation of X divided by the square root of the sample size, σ = 97.7/√226 ≈ 6.6320.
The sample mean is equal to the X mean, µ = 151.5.
The standard error is X's standard deviation divided by the sample size's square root, σ = 97.7 / √226 ≈ 6.6320.
What is the formula for the probability distribution?Probability distribution function
F (x) = P (X ≤ x) can be written. If there is also a semi-closed interval given by (a, b], the probability distribution function is given by the equation P (a ≤ b) = F (b) -F (a). Always between 0 and 1.
What is the probability distribution and its type?There are two types of probability distributions used for different purposes and different types of data generation processes.
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Two trains leave Evas station 70 minutes apart. Train X leaves first at 1:15 pm and heads west at a speed of 106 km/h. Train Y leaves later and travels directly north at a speed of 128 km/h.
a) How far apart are these trains (along a hypotenuse) at 4:05 pm?
b) If Train Y has an unplanned stop that lasts 24 minutes, how far apart should these two trains be at 5:50 pm?
c) If both trains turn around and head back to Evas station, with Train X travelling at a new average speed of 142 km/h, which one will arrive first? Show your work and explain your thinking.
Train X is 374.39 km far apart from train Y (along the hypotenuse) at 4:05 pm and 627.009 km far apart (along the hypotenuse) at 5:50 pm.
Define hypotenuseIt goes without saying that the side opposite the right angle is the hypotenuse of a right triangle. This side of a right triangle is the longest.
given: Train X travels at a speed = 106 km/h
Train X started moving on 1:15
Train Y travels at a speed = 124 km/h
Train Y started moving on 2:25 pm
a) Time taken by train X = 2 h 15 min = 2.83 h
Speed = 106 km/h
Distance = speed * time
Distance = 106 * 2.83
Distance travelled by train X towards west is 299.98 km.
Time taken by train Y = 1 h 45 min = 1.75 h
Speed = 128 km
Distance = speed * time
Distance = 128 * 1.75
Distance travelled by train Y towards north is 224 km.
By using Pythagoras theorem,
(299.98)² + (224)² = hypotenuse²
89988 + 50176 = hypotenuse²
Hypotenuse = 140164 = 374.39
Therefore, distance between train X and train Y at 4:05 pm along hypotenuse is 374.39 km.
b) Time taken by train X = 1 h 45 min = 1.75 h
Speed = 106 km/h
Distance = speed * time
Distance = 106 * 1.75
Distance travelled by train X is 185.5 km.
Total distance travelled by X = 299.98 + 185.5 = 485.48 km
Time taken by train Y = 1 h 21 min = 1.35 h
Speed = 128 km
Distance = speed * time
Distance = 128 * 1.35
Distance travelled by train Y is 172.8 km
Total distance travelled by Y = 224 + 172.8 = 396.8 km
By using Pythagoras theorem,
(485.48)² + (396.8)² = hyopotenuse²
235690.84 + 157450.24 = hypotenuse²
393141.08 = hypotenuse²
Hypotenuse = 627.009
Distance between train X and train Y at 5:50pm is 627.009 km.
c) Distance of train X from Evas station = 485.48km
Speed = 142 km/h
Time taken = distance / speed
Time taken = 485.48 / 142
Time taken by train X to reach station is 3.42 h
Distance of train Y from Evas station = 396.8 km
Speed = 128 km/h
Time taken = distance / speed
Time taken = 396.8 / 128
Time taken by train Y to reach station is 3.1 h
Therefore, train Y will arrive station first.
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ANSWER PLS ABOUT FRACTIONS
Answer:
Step-by-step explanation:
\(\frac{3}{5} +\frac{1}{4} +\frac{3}{8} =\) Distance Janie walked
First add \(\frac{1}{4} and\frac{3}{8}\) canvert 1/4 by multiplying by 2/2 to get a commmon denominator.
\(\frac{1}{4} *\frac{2}{2} =\frac{2}{8}\)
\(\frac{2}{8} +\frac{3}{8} =\frac{5}{8}\)
Now find a common denominator for 3/5 and 5/8 by multiplying 3/5 by 8/8 and 5/8 by 5/5.
\(\frac{3}{5}*\frac{8}{8}=\frac{24}{40}\)
\(\frac{5}{8}*\frac{5}{5}=\frac{25}{40}\)
Now add them.
\(\frac{24}{40}+\frac{25}{40}=\frac{49}{40}=1\frac{9}{40}\)miles
You can also convert all to decimals and add.
3/5 = .6
1/4 = .25
3/8 = .375
.6 + .25 + .375 = 1.225
Also 1 \(\frac{9}{40}\) = 1.225
Find the average rate of change of g(x) =5x^3+4/x^2 on the interval [-1,2]
The average rate of change of g(x) =5x^3+4/x^2 on the interval [-1,2] is -2
What is a function?A function can be defined as a law, rule or expression explaining the relationship between two variables.
These variables are called;
The independent variableThe dependent variableFrom the information given, we have the function;
g(x) =5x^3+4/x^2
For the interval, {1, -2}
Let's substitute the value of x as 1
g(1) = 5(1)³ + 4/(1)²
find the values
g(1) = 5 + 4/1
g(1) = 9/1 = 9
For x = -2
g(-2) = 5(-2)³ + 4/(-2)²
find the values and substitute
g(-2) =5(-8) + 4/ -8
g(-2) = -40 + 4/-8
add the numerators
g(-2) = -36/8
divide the values
g(-2) = -9/2
The average change = 9 ÷ -9/2 = 9 × 2/-9 = -2
Hence, the value is -2
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If a customer will receive a series of markdowns including 40% off, 25%, and 10% off, the final price of a pair of shoes costing $67.50 will be ?
Answer:
$10
Step-by-step explanation:
In other words, a 25% discount for an item with original price of $40 is equal to $10 Amount Saved Supose Have you received a amazon promotional code of 25 percent of discount.
The final price of the shoe after a series of discounts will be $27.33.
What is a percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that a customer will receive a series of markdowns including 40% off, 25%, and 10% off, the original price is $67.50.
The remaining price will be 60%,75%, and 90% after discounts. Then the final price of the product will be:-
Final price = 67.50 x 0.6 x 0.75 x 0.9
Final price = $27.33
Therefore, the final price of the shoe after a series of discounts will be $27.33.
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please help
please hury
The relation that is a function is relation (b)
How to determine the relation that is a function?The ordered pairs in the option represent the given parameters
For a relation (i.e. the ordered pairs) to be a function, the following must be true:
Each y value on the ordered pair must have exactly one x value
i.e. no x value must point to the different y value
Having said that the relation that is a function is relation (b)
Hence, the the relation that is a function is relation (b)2
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PLEASE HELP!!!! The focus of a parabola is (−6,−3) . The directrix of the parabola is y=4.
What is the equation of the parabola?
y=−1/28(x+6)^2+1/2
y=−1/28(x−1/2)^2−6
y=−1/14(x+1/2)^2+6
y=−1/14(x+6)^2+1/2
The directrix of a parabola is y=−4. The focus of the parabola is (−2,−2) .
What is the equation of the parabola?
y=−1/4(x−2)^2−3
y=1/4(x+2)^2−3
y=−1/8(x+2)^2+3
y=1/8(x−2)^2−3
The directrix of a parabola is y=9. The focus of the parabola is (2,5).
What is the equation of the parabola?
y=−1/8(x−2)^2+7
y=1/8(x−2)^2−7
y=−1/8(x−2)^2−7
y=1/8(x−2)^2+7
Step-by-step explanation:
Gregor Mendel knew how to keep things simple. In Mendel's work on pea plants, each gene came in just two different versions, or alleles, and these alleles had a nice, clear-cut dominance relationship (with the dominant allele fully overriding the recessive allele to determine the plant's appearance
A rectangular prism is made up of 36 unit cubes and is 3 unit cubes high choose two possible combinations of width and length for the prism
A) 2 cubes wide and 6 cubes long
B) 3 cubes wide and 12 cubes long
C) 4 cubes wide and 3 cubes long
D) 5 cubes wide and 7 cubes long
E) 6 cubes wide and 6 cubes long
I think (i said think) the answer is E
In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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Helppppp !!!
For each relation, decide whether or not it is a function.
1. Relation 1 is a function
2. Relation 2 is a function
3. Relation 3 is not a function
4. Relation 4 is a function
How to determine if each relation is a functionFrom the question, we have the following parameters that can be used in our computation:
The relations (1) to (4)
Relation (1)
This relation is a function
This is because each range value point to unique domain values
Relation (2)
This relation is a function
This is because each range value point to unique domain values
Relation (3)
This relation is not a function
This is because domain values w have different range values.
Relation (4)
This relation is a function
This is because each range value point to unique domain values
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Chloe has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack. She chooses one pencil at random, puts it back, and then chooses another pencil .
The probability that Chloe chooses a blue pencil and then a red pencil is
The probability that Chloe chooses the yellow pencil and then a blue pencil is
No links please :)
Answer:
A) P(chooses a blue pencil and then a red pencil) = 5/27
B) P(chooses yellow then blue) = 5/81
Step-by-step explanation:
She has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack
Thus;
total number of pencils = 3 + 5 + 1 = 9 pencils
A) probability that she chooses a blue pencil and then a red pencil;
P(blue) = 5/9
Now she puts it bag after choosing which means the sum is back to 8 pencils.
Thus, if she now chooses a red pencil, then P(red) = 3/9 = 1/3
Thus;
P(chooses a blue pencil and then a red pencil) = 5/9 × 1/3
P(chooses a blue pencil and then a red pencil) = 5/27
B) probability that Chloe chooses the yellow pencil and then a blue pencil;
Similar to A above;
P(yellow) = 1/9
P(blue) = 5/9
P(chooses yellow then blue) = 1/9 × 5/9
P(chooses yellow then blue) = 5/81
Please answer this :)
Answer:
one option could be for the first box 5 and 9 and in the next box 15 and 27 bc u can scale factor it by 3
Step-by-step explanation:
how many ft makes a height of 1.66m.
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters
Find the sum of the first 8 terms of the fallowing sequence?
3,15,75,375 …
Answer:
\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)
Function c
is defined by the equation c(n)=50+4n
. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n
.
True or False? The inverse function is as follows:
n=(c(n) − 50)×4
Responses
Answer:
False
Step-by-step explanation:
1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4
8. 8
(9.6x10. )-(3.15x10. ) Add or subtract
Answer:
The answer is Subtract