Jim will need to sail 4 miles across the lake from the marina to Kingston.
What is miles?Miles is a unit of measurement used to measure the distance between two locations. It is equal to 1.609 kilometers and is commonly used in the United States and the United Kingdom. Miles are frequently used to measure the distance between two cities, the distance a person has traveled, or the length of a road or highway. It is also sometimes used to measure the distance of a flight.
Since he is driving 16 miles from the boat launch to the marina, he will have covered a total of 20 miles by the time he arrives at the marina. From there, it is 4 more miles to Kingston. Therefore, he will need to sail a total of 4 miles to reach his destination.
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Each car is traveling at a constant speed. Find the number of miles each car travels in 1 hour at the given rate. 97 1/2 miles in 3/2 hours
The number of miles each car travels in 1 hour is 16 1/4 miles
How to determine the number of miles each car travels in 1 hour?From the question, we have the following parameters that can be used in our computation:
Given rate. 97 1/2 miles in 3/2 hours
The number of miles each car travels in 1 hour can be calculated as
Number of miles = 97 1/2 miles/3/2 hours * 1 hour
This gives
Number of miles = 97 1/2 miles/3/2
Evaluate the quotient
So, we have the following representation
Number of miles = 16 1/4 miles
Hence, the number of miles is 16 1/4 miles
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At 3:00 AM the temperature was 23 degrees. At 11:00 AM the temperature was 43 degrees. What is the average rate of change in the temperature per hour?
Step-by-step explanation:
In 8 hours temperature different is 20
so average rate is=20/8
2.5
Simplify the given expression using the order of operations and exponent rules. Write the answer without negative exponents
2w^5z(6w²z^5)
Answer:
[tex]12w^7 z^6[/tex]
Step-by-step explanation:
[tex]2w^5 z(6w^2 z^5)=(2)(6)w^5 w^2 z^5 z=12w^7 z^6[/tex]
please check the image, thank you
Answer:
Step-by-step explanation:
The coordinates of the vertices of a triangle are E (-2, 6), F (-2,-2),
and G (5,-3). Triangle EFG is reflected across the y-axis to create
triangle efg
Answer: E' (2,6) F' (2,-2) G' (-5,-3)
Step-by-step explanation: To find the coordinates flipped over the y-axis the rule goes from (x,y) to (-x,y) *Just a reminder the negative sign doesn't necessarily mean negative. It just means the opposite sign, so negative numbers would turn positive.
What is the quotient of 61,634/8 and remainder
Answer:
7704 R 2
Step-by-step explanation:
61634/8 = 7704.25
7704.25 = 7704 + 0.25 ==>
In order to find the remainder value, multiply 8 with 0.25:
8 * 0.25 = 2
Hence, the quotient is 7704 and the remainder is 2.
7704 R 2
It takes one pipe 15 days to fill a large pool. It takes another pipe 21 days to fill the same pool. It would take both pipes i days working together to fill the pool.
O True
O False
Answer: True
Step-by-step explanation:
help pls due in morning (12:49 AM) (01-06-23)
g(x) = -2x^3 -4/3x; find g(3/2)
Answer:
g( [tex]\frac{3}{2}[/tex] ) = - [tex]\frac{35}{4}[/tex]
Step-by-step explanation:
substitute x = [tex]\frac{3}{2}[/tex] into g(x) , that is
g( [tex]\frac{3}{2}[/tex] )
= - 2( [tex]\frac{3}{2}[/tex] )³ - [tex]\frac{4}{3}[/tex] × [tex]\frac{3}{2}[/tex]
= - 2 × [tex]\frac{27}{8}[/tex] - 2
= = - [tex]\frac{27}{4}[/tex] - [tex]\frac{8}{4}[/tex]
= - [tex]\frac{35}{4}[/tex]
Which 2 numbers give you -70 when multiplied but when added give you 9?
The two numbers which are 14 and -5 give you -70 when multiplied but when added give you 9
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
Let x and y represent the unknown numbers
The two numbers give -70 when multiplied, hence:
xy = -70 (1)
The two numbers give 9 when added, hence:
x + y = 9 (2)
x = 9 - y
put x = 9 - y in equation 1:
(9 - y)y = -70
9y - y² = -70
y² - 9y - 70 = 0
y = -5 or 14
when y = -5; x = 9 - (-5) = 14
when y = 14; x = 9 - 14 = -5
The two numbers are 14 and -5
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6. Write the function in graphing form, then state the center and
radius.
x² + y² - 16x + 10y + 8 = 0
The graphing form of the function is,
⇒ (x - 8)² + (y + 5)² = 9²
And, The center of function = (8, - 5)
The radius of the function is,
⇒ r = 9
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The function is,
⇒ x² + y² - 16x + 10y + 8 = 0
Now,
Since, The function is,
⇒ x² + y² - 16x + 10y + 8 = 0
We can write as;
⇒ x² - 2 × 8 × x + y² + 2 × 5 × y + 8 = 0
⇒ x² - 2×8×x + 64 - 64 + y² + 2×5×y + 25 - 25 + 8 = 0
⇒ (x² - 2×8×x + 64) + (y² + 2×5×y + 25) - 64 - 25 + 8 = 0
⇒ (x - 8)² + (y + 5)² = 81
⇒ (x - 8)² + (y + 5)² = 9²
Thus, The graphing form of the function is,
⇒ (x - 8)² + (y + 5)² = 9²
Clearly, This represent the equation of circle with center (8, - 5) and radius 9.
And, The center of function = (8, - 5)
The radius of the function is,
⇒ r = 9
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Mazzeo's Appliance Store requires a down payment of 1/3 on all installment purchases. If a refrigerator costs $900, how much is the down payment?
The down payment for the installment purchase for the $900 refrigerator is $300.
What is installment purchaseAn installment purchase is a method of buying high value assets or goods on credit. A percentage of the total purchase price is paid immediately as a down payment, while the remaining amount is settled by paying periodic installments.
the good to be paid for installment after a down payment of 1/3 of the total amount is a refrigerator which cost $900
1/3 of $900 = 1/3 × $900
1/3 of $900 = $900/3
1/3 of $900 = $300
In conclusion, $300 will be the down payment for the installment purchase of the refrigerator.
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There are 6 roads connecting form a to b. You need to go to b, get back to a, and go back to b. You cannot use one road more than once. How many possible ways to do this?
There are 6 roads connecting from a to b. You need to go to b, get back to a, and go back to b. There are 360 ways to complete this task.
What is the number of ways?Generally, If you need to go from a to b and back to a twice, you can think of this as going from a to b and back to a, and then from a to b and back to an again, without returning to b in between.
This means that you need to use two different roads for the first trip and two different roads for the second trip.
Since there are 6 roads to choose from, and you need to choose 2 roads for the first trip and 2 roads for the second trip, the total number of ways you can do this is
6 * 5 * 4 * 3 = 360ways
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Solvex 1/3x -1 = 5.
A. x = 2
B. x = 12
C. x = 1
D. x = 18
Answer:D
Step-by-step explanation: 1/3x-1 = 5
1/3x=6
3(1/3x) = 3(6)
x=18
you got out to dinner with Ben , Carla , david when the bill arrives you decide to split the bill evenly the total bill including tip and tax was $96. How much did you pay ?
Answer: $24
Step-by-step explanation: There were 4 people splitting the bill You, Ben, Carla, and David the bill was 96
divide 96 by four so that you each pay the same amount
96 divided by 4 is 24 so everyone payed $24
24+24+24+24 equals 96 so it is the correct answer
URGENT DUE TODAY I NEED HELP!!!!!!
If ax+b ax+c ?
equation in slope-intercept form of the line that pae through the point (4, 7) and is parallel to the line represented by y = 2x - 5 is ( y - y1 ) = m( x - x1 ) => y - 7 = 2 (x-8) => 2x - y - 1 = 0
What is slope?A number that specifies a line's direction and slope is known as the slope or slope of a line in mathematics. A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x).
equation is -
y = 2x - 5
since these are parallel to each other,
slope, m= 2
now the equation is -
( y - y1 ) = m( x - x1 )
y - 7 = 2 (x-8)
2x - y - 1 = 0
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darius says that 1/4 is a division expression and is not a quotient. Badru says that 1/4 is a division expression and is also the quotetient of 1 / 4. who is correct
On solving the provided question we can say that 1/4 means , 1 divides 4, so it its a division not expression.
what is expression ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.
here,
darius says that 1/4 is a division expression
Badru says that 1/4 is a division
1/4 means , 1 divides 4, so it its a division not expression
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Increase £16470.45 by 13.5%
Give your answer rounded to 2 DP.
Answer: £18704.32.
Step-by-step explanation:
To increase a value by a certain percentage, you can use the formula:
New value = Original value + (Original value x (Percentage increase/100))
In this case, to increase £16470.45 by 13.5%:
New value = 16470.45 + (16470.45 x (13.5/100))
New value = 16470.45 + 2233.8675
New value = 18704.3175
Rounded to 2 decimal places, the new value would be £18704.32.
Answer:
18704.32
Step-by-step explanation:
Name Algebra 2 Test 4, page 3 FUNCTIONS: Write the correct answer in the blank 17. Write the difference of the given functions (f-g)x): fx)-x+2x-6 and g(x)-x+ 5 18. Write the product of the given functions (fg)lx): fx)-x-9 and g(x) =x + 1. 19. Write the composition (f g)(x) of the given functions: fx) x+2x-6 and g(x)-x+ 5 20. Write the composition (gof(x) of the given functions: flx) x+2x-6 and g(x) x+5 DOMAIN: Find the domain of each function. 21. f(x)-x+8x-1 22. g(x) + 13 23. fx) RANGE: Find the range of each function. 24. g(x)=6 25. f(x)- -3 +1 26. h(x)= Copyrightmaud Pensacola Christian College Not e seprodaced (cont.) 45
17. (f-g)(x) = ( -x + 2x - 6 ) - ( -x + 5 ) = -2x + 11
18. (fg)(x) = ( -x - 9 )( x + 1 ) = -x² - x - 9
19. (f g)(x) = f(g(x)) = (x + 2x - 6)(-x + 5) = -x² + 6x - 30
20. (g o f)(x) = g(f(x)) = x + 5(x + 2x - 6) = x + 5x + 10x - 30
21. Domain: All real numbers
22. Domain: All real numbers
23. Range: Not given
24. Range: {6}
25. Range: All real numbers
26. Range: Not given
The functions and their operationSpecifically, it provides the difference, product, and composition of the given functions, as well as the domain and range of certain functions. The problems involve algebraic equations and simplifying expressions.
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will give branliest!
The normal body temperature for an adult dog is 101° F, but it can vary by as much as 1.5°. Which inequality could be used to determine the range of body temperature?
|t − 101| ≤ 1.5
|t − 1.5| ≤ 101
|t − 101| ≥ 1.5
|t − 1.5| ≥ 1.5
Answer:
|t - 101| ≤ 1.5
Step-by-step explanation:
The correct inequality to determine the range of body temperature for an adult dog is |t - 101| ≤ 1.5. This inequality states that the body temperature t can be as much as 1.5 degrees less than or 1.5 degrees more than 101 degrees Fahrenheit.
Maxine compiled a list of these car prices:$7,500,$6,500,$5,750,$4,900,$6,250 and $4,200.Find the mean of these prices
Answer: 5,850
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\sf Mean = \$ \ 5850}[/tex]
Step-by-step explanation:
Mean:[tex]\displaystyle Mean = \frac{Sum \ of \ data}{No. \ of \ data}[/tex]
Here,
Data: $7500, $6500, $5750, $4900, $6250, $4200
So,
[tex]\displaystyle Mean =\frac{Sum \ of \ all \ prices }{No. \ of \ prices} \\\\Mean =\frac{7500+6500+5750+4900+6250+4200}{6} \\\\Mean = \frac{35100}{6} \\\\Mean = \$ \ 5850\\\\\rule[225]{225}{2}[/tex]
If A ⊂ B, then A ∩ B = A ∪ B.
1. Sometimes
2. Never
3. Always
Answer:
never
Step-by-step explanation:
because The union of a and b cannot be equal to the intersection of a and b
amounts of yearly rainfall in miami over the last 5 years are an example of which type of data?
Answer:quantitative
Step-by-step explanation:
What is the rate of change for the equation of y=-12-1/2x
The rate of change of the given function is -1/2.
What is the average and instantaneous rate of change?It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.Average rate of change -[tex]$r(a) = {\frac {f(x+h)-f(x)}{h}}\\\\[/tex]
Instantaneous rate of change -[tex]$r(i) =\lim _{h\to 0}{\frac {f(x+h)-f(x)}{h}}\end{aligned}}}[/tex]
Given is the function as follows -
y = - 12 - (1/2)x
We have the function f(x) as -
y = - 12 - (1/2)x
dy/dx = d/dx(12 - x/2)
dy/dx = 0 - 1/2
dy/dx = -1/2
Therefore, the rate of change of the given function is -1/2.
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Central high school had five members on their swim team in 2010. Over the next several years the team increased by an average of 10 members per year, the same school had 35 members in their chorus in 2010. The chorus saw an increase of 5 members per year
The system of equations that models the given situation are;
y = 10x + 35
y = 5x + 35
How to model a system of equations?Let x denote the number of years since 2010
Let y denote the total members
The linear equation in slope intercept form is expressed as;
y = mx + b
where;
m is the slope or unit rate
b is the y-intercept or initial value
For the swim team, since the team increased by an average of 10 members per year, then;
Slope = 10
In 2010, they had 5 members and so; y-intercept = 35
Thus, the equation is; y = 10x + 35
For the chorus team, we can deduce that;
Slope = 5 members per year
In 2010, they had 35 members and so; y-intercept = 35
Thus, the equation is; y = 5x + 35
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Complete question is;
Central High School had five members on their swim team in 2010. Over the next several years, the team increased by an average of 10 members per year. The same school had 35 members in their chorus in 2010. The chorus saw an increase of 5 members per year. Write a system of equations to model this situation, where x represents the number of years since 2010.
What’s the multiplication factor of 28?
Answer:
Step-by-step explanation:
1 times 28
2 times 14
4 times 7
7 times 4
14 times 2
28 times 1
devise a recursive algorithm to find a2n , where a is a real number and n is a positive integer.
A recursive algorithm to find a^2n, where a is a real number and n is a positive integer, is as follows:
Start with the input value of n.If n is equal to 1, return the value of a^2.If n is greater than 1, divide the value of n by 2 and store the result in a new variable m.Find the value of a^(2m) using the recursive algorithm with the input value of m.If n is even, return the value of a^(2m) * a^(2m).If n is odd, return the value of a^(2m) * a^(2m) * a.This algorithm uses the property of exponentiation that a^(2n) = (a^n)^2, and divides the problem of finding a^2n into a smaller subproblem of finding a^n. It takes advantage of the recursive nature of the problem by calling the same algorithm with a smaller value of n.
The time complexity of this algorithm is O(log n) as it divides the problem into half at each recursive step.
It should be noticed that this algorithm assumes that the input value of n is positive, otherwise it would be necessary to add a check for a negative value or zero.
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Jane bought a car for $30,303. The value of the car depreciated at a constant rate per year. The table shows the value of the car after the first and second years: year 1 2 value (in dollars) 25,757. 55 21,893. 92 which function best represents the value of the car after t years?.
The correct option representing the function is f(t) = 30,303(0.85)t based on the deprivation rate.
Firstly calculating the depreciation rate -
30,303 - x%×30,303 = 25,757
x×303.03 = 30,303 - 25,757
Performing subtraction on Right Hand Side of the equation
x×303.03 = 4546
x = 4546/303.03
Performing division
x = 15%
The formula to be used for function is -
P = Po[tex] {(1+r)}^{t} [/tex], where P is the final value, Po is the original value, r is growth rate and t is time.
P = 30,303 [tex] {(1 - 0.15)}^{t} [/tex]
Performing subtraction on Right Hand Side of the equation
P = 30,303 [tex] {(0.85)}^{t} [/tex]
The value of car after t years is 30,303 [tex] {(0.85)}^{t} [/tex].
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The complete question is-
Jane bought a car for $30,303. The value of the car depreciated at a constant rate per year. The table below shows the value of the car after the first and second years:
Year 1 2
Value (in dollars) 25,757.55 21,893.92
Which function best represents the value of the car after t years?
f(t) = 25,757.55(0.85)t
f(t) = 30,303(0.85)t
f(t) = 30,303 (0.15)t
f(t) = 25,757.55 (0.15)t
Blank divided by 10 =800
Answer:
(8,000/10)=800
Ari has a map with a scale of 1/2 inch represents 18 miles. To get between two cities on the map, she measures 4 inches. How far would that be in real life?
By using the given scale, we will find that the real distance between the two cities is 144 miles.
How to find the real distance?We know that in our map the scale is:
1/2 inch = 18 miles.
If we multiply that by 2 we get:
2*(1/2) inch = 2*18 miles.
1 inch = 36 miles
Now, if the distance in the map is 4 inches, then we need to multiply that by the scale:
4 inches = 4*( 1 inch) = 4*( 36 miles) = 144 miles.
The real distance is 144 miles.
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Each individual outcome of an experiment is called a. the sample space. b. a sample point. c.a trial. d. an event.
Each individual outcome of an experiment is called a sample point. So, the right answer is option(b).
The set of all possible outcomes of a random experiment is the sample space , S or the outcome space. An event always associated with a random experiment is a subset of the sample space. Each result in sample space is called a sample point. Also, it is called an element or member of the sample space. For example, there are possible two outcomes for tossing a coin, i.e., the sample space, S = {heads, tails}, or S = {H, T}. If we toss two coins, there are four outcomes : { HH, HT, TH , TT }, where the first letter refers to the outcome of the first tossing and the second to that of the second tossing, each outcome is called a sample point.
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