Answer:
400 miles
Step-by-step explanation:
Let m be the number of miles.
[tex]85(2) + .30m = 290[/tex]
[tex]170 + .30m = 290[/tex]
[tex].30m = 120[/tex]
[tex] m = 400[/tex]
What is the equation of the line that passes through the point (-3,2) and has a slope of 2/3
Answer: y = 2/3 -2
Step-by-step explanation: using a graph you can plot the point (-3, 2).
After this, you can use the slope of 2/3 to graph the starting point. You go 3 to the left and 2 up going through the y axis of -2. using y = mx + b, you can plug in the slope of 2/3 and the starting point of -2.
Use the Law of Detachment to make a conclusion. If a person wants to get a car, that person must buy car insurance. Jayla wants to get a car. A. Jayla has car insurance. B. Jayla has her driver's license. C. Jayla must get her driver's license. D. Jayla must buy car insurance.
According to the law of detachment, if a person wants to get a car, that person must buy car insurance, since Jayla wants to get a car, D. Jayla must buy car insurance.
What is the law of detachment?It should be noted that the law of detachment states that if P leads to Q and Q is true, then Q must be true.
In this case, if a person wants to get a car, the person must buy car insurance. Without this it's impossible to buy the car. Therefore, this illustrates that the correct option is that Kayla must also get the insurance.
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the number of people arriving for treatment at an emergency room can be modeled by a poisson process with a rate parameter of five per hour. what is the probability that exactly four arrivals occur during a particular ""half an hour""?
There is a 0.087 = 8.73% chance that four arrivals will occur at the same half-hour.
What is defined as the Poisson's distribution?The Poisson is a discrete distribution that calculates the likelihood of a given number of events occurring in a given time period.The probability that X is the number of successes of a random variable in a Poisson distribution is given by the following formula: P(X = x) = (e∧(-μ)× μˣ) / x!In which case,
x represents the number of successes.
The Euler number is e = 2.71828 = 2.72
μ is the average over the given time interval.
With a rate parameter of five per hour, the Poisson process is used.
So, μ = 5
The likelihood of exactly four arrivals occurring at the same time;
This is known as P(X = 4).
Put the values in the formula;
P(X = x) = (e∧(-μ)× μˣ) / x!
P(X = 4) = (2.72∧(-5)× 5⁴) / 4!
Simplifying the equation;
P(X = 4) = 0.08736
P(X = 4) = 8.73%
0.087 = 8.73% chance that exactly four arrivals happen during a specific half -hour.
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I don't understand what I'm doing, I'm confused irritated and I just need some help
Answer:
See explanation
Step-by-step explanation:
Slope: 4 since $4 was made per ticket. $4/1=$4.
Equation: y=mx+b
0=4(0)+b ==> the function has a point on the origin, (0,0).
0=0+b
b=0
y=4x+0
y=4x ==> equation of line
Answer:
day 1: $4
day 2: $8
day 3: $12
day 4; $16
Step-by-step explanation:
y= 4x
cuz you add 4 each time
The function a(t) = 44,000(1.045)^t models Johanna’s annual earnings a, in dollars, t years after she starts her job.
Which of the following statements are true about Johanna’s salary?
Johanna initally earns $44,000 per year. True or False
Johanna initially earns $45,980 per year. True or False
Johanna’s salary increases by 1.045% per year. True or False
Johanna’s salary increases by 4.5% per year. True or False
Johanna’s salary increases by 104.5% per year. True or False
This represents an exponential growth. True or False
This represents exponential decay. True or False
Step-by-step explanation:
true.
false.
true.
true
.true.
false.
true..
please mark me as brainlist
Use the following function rule to find f(2).
f(x) = 4 + x
f(2)=
What does y-7 equal
Answer:
-7
Step-by-step explanation:
Because picture y with a 1 in front of it the divide -7 by 1 and you get -7
assume that your compute completes a 5000 equation back substitution in 0.005 seconds. use the approximate operation counts n 2 for back substitution and 2n 3/3 for elimination to estimate how long it will take to do a complete gaussian elimination of this size.
In linear equation, 17 seconds it will take to do a complete gaussian elimination of this size.
What are a definition and an example of a linear equation?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Given that your computer completes a 5000 equation back substitution in 0.005 seconds.
then here Work is: n = 5000 and its rate is = (n2) / 0.005 = 5000000000
and Given formula : The approximate operation counts = ((2n^3)/3) = (2.0 * (n3)) / 3.0 = 83333333333.33
then we can found time = operations / rate = 83333333333.33/5000000000 = 16.67 = 17 seconds
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as soon as possible please!
Answer:
C). [tex]1 - sec^{2} A[/tex]
Step-by-step explanation:
Lets say the bottom side is X, right side is Y, and hypotenuse is H.
[tex]tan A = \frac{Y}{X}[/tex]
[tex]tan B = \frac{X}{Y}[/tex]
[tex]\frac{tan A}{tan B} = \frac{\frac{Y}{X}}{\frac{X}{Y}} = \frac{Y}{X} * \frac{Y}{X} = \frac{Y^{2} }{X^{2}} = (\frac{Y}{X})^{2} = tan^{2} A= 1 - sec^{2} A[/tex]
Help with this need to turn please help
Based on the graph given on the height of the helicopter, the slope and y-intercept of the function would be:
0 = Neither 5 = Neither 10 = Slope 50 = y-intercept 100 = Neither How to find the slope and y-intercept?To find the slope of the line om the height of the helicopter, the formula is:
= Change in y / Change in x
= (100 - 50) / (5 - 0)
= 50 / 5
= 10
The y-intercept takes the form b in the linear equation model:
y = mx + b
100 = 10(5) + b
b = 100 - 50
b = 50
The slope is 10 and the y-intercept is 50.
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- Graph the solution of the absolute
value inequality on the number
line.
2|x + 3|+1>3
Number line with open circles on -4 and -2, with shading in opposite directions.
Solution:Given: 2 |x + 3| +1 > 3 absolute value inequality.
We must solve and graph the following absolute value inequality:
2 |x + 3| +1 > 3
Take a look at the following absolute value inequality: 2 |x + 3| +1 > 3
We have to apply absolute rule:
If |u| > a , a > 0 then u < -a or u > a.
2|x + 3|+1 < -3 or 2|x + 3|+1 >3
Consider inequality first.
2|x + 3|+1 < -3
When we subtract 1 from both sides, we get,
2|x + 3| +1 -1 < -3 -1
Simplify,
2 |x + 3| < -4
We get by dividing both sides by two,
(2|x + 3|)/2 < -4/2
|x + 3| < -2
There is no solution for x ∈ R.
Now consider the second inequity.
2|x + 3|+1 >3
When we subtract 1 from both sides, we get,
2|x + 3|+1 - 1 >3 - 1
Simplify,
2|x + 3| >2
We get by dividing both sides by two,
(2|x + 3|) / 2 >3/2
|x + 3| > 1
x + 3 < -1 or x + 3 >1
x < -4 or x > -2
As a result, we have the solution to the absolute value inequality:
2|x +3|+1 > 3 as
On the number line shown below.
On the graph shown below.
As a result, the number line has open circles on -4and -2, with shading going in opposite directions.
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Given m||n, find the value of x.
need help
Using the alternate exterior angles theorem, the value of x is: 127°.
What is the Alternate Exterior Angles Theorem?When two parallel lines are intersected by a transversal to form alternate exterior angles that lie outside on each of the parallel lines, the alternate exterior angles theorem states that both angles are equal or congruent to each other.
From the diagram given, we are told that line m is parallel to line n. transversal t crosses both lines and n. The angles, x and 127 degrees are alternate exterior angles that lie on each parallel lines.
Therefore, the alternate exterior angles theorem states that, both angles would be equal.
Thus, we can conclude that, x = 127°.
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The speed limit on a road is listed at 65 miles per hour. The car’s speedometer reads 63 miles per hour. Is it possible that this car is going over the speed limit?
It is not possible for the car to go over the speed limit as maximum error represent value of speed limit less than 65 miles per hour.
As given in the question,
Maximum error on the reading of speedometer =1.6%
Speed limit on a road is 65 miles per hour
Reading of a speedometer = 63 miles per hour
As per the error in the speedometer it can be more or less by 1.6%
To check speed limit
If it more
Speed limit = 63 + (1.6% of 63)
= 63 + 1.008
= 64.008 miles per hour < 65 miles per hour
If it less
Speed limit = 63 - (1.6% of 63)
= 63 -1.008
= 61.992 miles per hour < 65 miles per hour
Therefore, it is not possible for the car to go over the speed limit as maximum error represent value of speed limit less than 65 miles per hour.
The complete question is:
The reading on a car speedometer has 1.6% maximum error the speed limit on a road is listed 65 miles per hour.
The car’s speedometer reads 63 miles per hour. Is it possible that this car is going over the speed limit?
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the length of Michelle's room is shown. The ratio of length to width is 4:3. What is the width of Michelle's room?
it is 111
The width of Michelle's room is 111 inches.
How to find the width of a rectangle?The ratio of the length to the width is 4:3.
The width of her room can be calculated as follows:
Therefore,
length = 12 ft 4 inches
Hence.
1 ft = 12 inches
12 ft = 144 inches
Hence,
length = 144 + 4 = 148 inches
Therefore,
x = length + width
4 / 7 × x = 148
4x / 7 = 148
cross multiply
4x = 148 × 7
4x = 1036
x = 1036 / 4
x = 259
Hence,
width of the rectangle = 259 - 148
width of the rectangle = 111 inches
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Select the better deal in the pair. Then give the unit rate for the better deal.
$56/25 gal or $31.05/15 gal
The better deal of the given pair is $31.05/1. The unit rate is $2.07.
What is the better deal?The better deal is the deal that has the lower unit rate. Unit rate is the price per gallon. The unit rate can be determined by dividing the total cost by the total gallons bought.
Division is the operation that is used in mathematics to determine the quotient of two or more numbers. Division entails grouping a number into groups using another number. Other operations used in mathematics are addition, multiplication and subtraction.
Unit rate = total cost / number of gallons
$56 / 25 = $2.24
$31.05 / 15 = $2,07
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All of the following expressions represent the sum of n and itself, except.
O2n
On²
On+n
All of the following expressions represent the sum of n and itself, except n²
To solve his problem, we need a brief idea about algebraic operations like summation, multiplication, etc.
When we add two or more same algebraic digits we have to just add their coefficients. Otherwise, it remains the same.
Example :
x + 2x + 4x = 6x [ 1 + 2 + 4 = 7; as 1,2,4 are the coefficient of x, 2x, 4x ] x + 2y + z = x + 2y + z ( remains unchanged as they all are different numbered )Here 2n = n + n, the sum of n and itself but n² = n × n, which is the multiplication of n and itself,
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write a mathematical sentence that expresses the information below use s as your variable mr.jones algebra class has too many students in it. if each class were split exactly
When the class were split exactly in equal parts to form 3 be classes each class would have no more than 14 students, the expression is s / 3 <= 14.
What is an expression?It should be noted that an expression is simply used to illustrate the relationship between the variables that are given.
From the mr. Jones algebra class has too many students in it and each class were split exactly in equal parts to form 3 be classes each class would have no more than 14 students.
The expression will be let the total students be represented by s. This will be:
s / 3 <= 14
The expression is s / 3 <= 14.
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Write a mathematical sentence that expresses the information below use s as your variable mr.jones algebra class has too many students in it. if each class were split exactly in equal parts to form 3 be classes each class would have no ore than 14 students
Which of the following numbers is a whole number? A −2 C 4.1 B 3 D \pi
Answer: B
Step-by-step explanation: A whole number is a number that is not a decimal or a fraction and is over 0.
Guys help!!! I have to create a other title for the book The call of the wild. Help me figure out titles I should use and why. Write a well-developed paragraph explaining why the title you have chosen suits the book.
You do not need to listen to my opinion but I think another excellent title could be Survival (Man Vs Dog).
And so here is an explanation of this title: The book may be for young adults, but it truly shows a dark trip to human nature and a species that can be noble as well as cruel and insensitive. Buck, the protagonist, is a dog who has been kidnapped and placed as a sled dog in the 19 century Klondike Gold Rush. It is Buck's loyalty and instinct that helps him return to his owners which forms the plot of the story and the assumptions are able to make about the inhumanity of humans and the very real loyalty and humanity Buck shows.
Sorry for taking so long:)
A triangle is dilated by a factor of 2 and then rotated clockwise Which statement about the triangle's image and pre-image is correct?
Answer:
what are th e statements though
The scale on a map is 1 : 30000
What is the actual distance represented by 1 centimetre?
When the scale on a map is 1 : 30000, the actual distance represented by 1 centimetre is 300 meters.
How to calculate the distance?It should be noted that in order to get the distance, we have to convert 1cm to meter. It should be noted that;
100cm = 1 meter
1cm = 1/100 = 0.01 meters.
Therefore, when the scale on a map is 1 : 30000, the actual distance represented by 1 centimetre will be:
= (0.01 × 300000)
= 300 meters.
Therefore, the distance is 300m
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Q.1. Solve the following equations:
i. 10 s + 100 = 1000
ii. 12 m - 5 = 25
Please explain properly and give step by step answer this question contains 20 points i will also mark u as brainliest
[tex]10s = 1000 - 100[/tex]
i)WHEN GROUPING LIKE TERMS 100 WAS GROUPED WITH 1000 SINCE IT CHANGED PLACE IT ALSO CHANGED THE SIGN FRKM POSITIVE TO NEGATIVE.[tex]10s = 900[/tex]
NOW TO GET THE VALUE OF s it means we will have to divide both sides by the coefficient os s which is 10.Meaning 10 will divide 10s and also 900 we get:
[tex] \frac{10s}{10} = \frac{900}{10} \\ s = 90[/tex]
ii) WE ALSO HAVE TO GROUP TERMS HERE. IT MEANS -5 WILL BE GROUPED WITH 25 BUT WHEN IT CHANGES POISTION IT WILL ALSO CHANGE SIGN.[tex]12m = 25 + 5 \\ 12m = 30 \\ \frac{12m}{12} = \frac{30}{12} \\ m= \frac{30}{12} \\ m = \frac{15}{6} [/tex]
please HELP!! thank you
13.4 dollars.
This is the total amount Kelly deposit when she opened the account.
What is simple interest?Simple interest is a quick and easy way to calculate the interest on a loan. Simple interest is calculated by multiplying the daily interest rate by the principal multiplied by the number of days between payments.Here,
The total amount is determined by:
F=I(1+rt)
Where
I is the initial sum.r is the interest rate. t stands for time interval.F represents the total amount.Here given ,
r = 1.2%
t = 7
F = $126
As a result,
I = F/(1+rt)
= 126/1+1.2*7
= 13.4 dollars.
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one side of rectangle is 5cm than the other side. its perimeter is 38 cm. find the measure of the sides
The measure of the sides of rectangle is 14cm.
What is rectangle?Each pair of neighboring sides in a rectangle are perpendicular, making it a special case of a parallelogram. A parallelogram is a specific type of trapezium, also referred to as a trapezoid in North America, in which the lengths of the two pairs of opposite sides are parallel. A quadrilateral with four right angles is a rectangle. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equal sides.
Given that,
One side of rectangle is 5cm than the other side.
Its perimeter is 38 cm.
P = 2b +2 h
38= 2b+ 2(5)
38= 2b+ 10
38-10= 2b
28= 2b
b = 28/2
b= 14cm.
Therefore, the measure of the sides is 14cm.
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what is my name and my class
iyaazs humaizAnswer:
y-step explanation:
Angela, Emily, and Christina are on their school’s soccer team. The table below shows the number of shots each player made and missed.
The ratio of shots made to the shots missed for each player will be:
Angela = 4:1
Emily.= 3:1
Christina = 7:3
How to illustrate the ratio?It should be noted that from the information given, Angela made 12 shots and missed 3 shots. Therefore the ratio is:
= 12/3
= 4/1
= 4:1
Emily made 15 shots and missed 5 shots. Therefore the ratio is:
= 15/5
= 3/1
= 3:1
Christina made 21 shots and missed 9 shots. Therefore the ratio is:
= 21/9
= 7/3
= 7:3
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in the game of hearts, four players are each dealt 13 cards from a deck of 52. is this a function? if so, what are the domain and codomain? is the function injective, surjective, both (bijective), or neither?
Based on the fact the game of hearts, four players are each dealt 13 cards from a deck of 52
The domain is the deck of 52 cardscodomain is 4 playersfunction, f(k) maps a card to each playerIt is surjectiveThis is further explained below.
What is a surjective Function?A surjective function is a kind of function that exists in mathematics that ensures that any element y may be transferred to element x in such a way that f(x) equals y.
To put it another way, each element that makes up the function's codomain is the mirror image of at least one element that makes up the domain.
Generally, function, f(k) maps a card to each player
And since each player is dealt 13 cards st 13 of the cards are mapped to each player.
It is a function as one card is mapped to one and only one player.
The function is not injective because 13 cards 1 are mapped to one player so it is a many-one function but the injective function does not map two elements to a common clement.
In conclusion, It is surjective as each player is dealt 13 cards. the function is not injective hence rot bijective.
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whats the answer to this combined terms
y−(−3y)
Answer:
Add y and 3y
= 4y
Step-by-step explanation:
The graph shows the temperature of ice cream in an ice chest during an overnight trip. What is the domain of this function?
The domain is negative 10 through 30.
The domain is all integers from negative 10 through 30.
The domain is all real numbers 0 through 30.
The domain is all integers from 0 through 30.
The domain of this function is that: C. the domain is all real numbers 0 through 30.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values (numbers) to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.
How to identify the domain of this graph?The horizontal extent of a graph represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
By critically observing this graph of a function shown, we can reasonably infer and logically deduce the following:
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Alice, raul, and jane are baking cookies together, alice brought 2.5 cups of flour, raul brought 1 1/4 cups of flour and jane brought 3/4 cups of flour. how many cups of flour they have all together? show all work.
The total cups of flour Alice, Raul and Jane have altogether is equal to 6.
We can determine the number of cups of flour they have all together by the addition of the fractions brought by each one of them.
First, we convert the decimal value of 2.5 into fraction form;
2.5 = 2.5/1
Multiplying and dividing both sides by 10;
25/10 = 5/2
Now we add the fractions as follows;
Total number of cups of flour = 5/2 + 11/4 + 3/4
We Multiply 5/2 by 2 to get the same denominator as the other values;
5×2 / 2×2 = 10/4
10/4 + 11/4 + 3/4 = 6
Therefore, the total number of cups of flour they have altogether is calculated to be 6.
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