Answer:
maybe it is 3600 m not sure though
f(x) = 2x² + 1 and g(x) = x² − 7, find (ƒ— g)(x).
Answer:
(f-g)(x) is equivalent to f(x) - g(x)
So that would be (2x²-5) - (x²-4x-8) = 2x² - x² + 4x + 8 - 5 = x² + 4x + 3
Hope this helps.
Step-by-step explanation:
Please help meeeeeeeeeeeeee
Answer:
⅓,⁵/12,⁵/24,⁷/48You can think about them like if they are more or less than the half of the fraction
What is the value of x?
Answer:
12
Step-by-step explanation:
10x - 20 + 6x + 8 = 180
Supplementary angles
Answer:
x = 12
Step-by-step explanation:
The two given angles create a straight line (Definition of Straight Line). This means that:
\((10x - 20) + (6x + 8) = 180\)
First, combine like terms. Like terms are terms that share the same amount of the same variables:
\((10x + 6x) + (8 - 20) = 180\\(16x) + (-12) = 180\\16x - 12 = 180\\\)
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 12 to both sides of the equation:
\(16x - 12 = 180\\16x - 12 (+12) = 180 (+12)\\16x = 180 + 12\\16x = 192\)
Next, divide 16 from both sides of the equation:
\(\frac{16x}{16} = \frac{192}{16} \\x = \frac{192}{16}\\ x = 12\)
12 is your answer.
~
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A new car is purchased for $41,000\$41,000$41,000 and over time its value depreciates by one half every 4 years. What is the value of the car 6 years after it was purchased, to the nearest hundred dollars?
Answer:
$14500
Step-by-step explanation:
For a car with an initial value \(A_0\), its value, A(t) after time t for which it depreciates by period k with a decay rate of r is given is:
\(A(t)=A_0 \cdot r^{t/k}\)
If the value of the car depreciated by \(\dfrac{1}{2}\) every four years, then the value of the car at any time t is defined by the function:
\(A(t)=41000(0.5)^{t/4}\)
We want to determine the value of the car 6 years after it was purchased.
When t=6
\(A(6)=41000(0.5)^{6/4}\\=\$14495\\\approx \$14500 $(to the nearest hundred dollars)\)
you must be at least 18 years old to vote
Answer:
To vote you need to be a US citizen and be at least 18 years old by election day
Answer:
18 years old to vote
Step-by-step explanation:
You must be 18 years old to vote and you have to be a citizen. Also to vote, you have to be a resident of Florida. So therefore, yes you have to be 18 years old to vote.
Hope this Helps!
Trains Two trains, Train A and Train B, weigh a total of 384 tons. Train A is heavier than Train B. The
difference of their weights is 288 tons. What is the weight of each train?
Train A weighs tons.
i think the answer is 336 bc 384+288=672 then divide
2 is 336,
(so sorry if im wrong)
Use a stem-and-leaf plot to display the data, which represent the scores of a biology class on a midterm exam. Describe any patterns.
85
80
87
67
88
95
91
78
75
84
90
94
82
98
80
89
92
68
75
91
87
76
91
85
Determine the leaves in the stem-and-leaf plot below.
Key: 3|3 = 33
Exam Scores
6|
7|
8|
9|
*this is for statistics, any help is appreciated please*
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
85
80
87
67
88
95
91
78
75
84
90
94
82
98
80
89
92
68
75
91
87
76
91
85
STEM | LEAF
6 | 7 _ 8
7 | 5 _ 5 _ 6 _ 8
8 | 0_0_2_4_5_5_7_7_8_9
9 | 0_1_1_1_2_4_5_3
The statistics which could be obtained fro the data include; The range = (98 - 67) = 31
Number of observations = 24
Mode of data = 91 ( most occurring number)
Median = 50th percentile = 86
Mean = Σx / N
= Σx = 2028
Mean = 2028 / 24 = 84.5
the distance between two points can be determined by the _________ of the real number values of the two points
options:
the sum
the absolute value of the sum
the absolute value of the difference
the difference
Answer:
the difference
Step-by-step explanation:
The distance between two points can be determined by the difference of the real number values of the two points.
The distance between two points can be determined by the absolute value of the difference of the real number values of the two points
How to determine the distance?Let any two points be represented as:
Point x and Point y
The distance (d) between them is calculated using:
d = |x - y|
This can also be expressed as
d = |y - x|
See that the distance is calculated by the absolute value of the difference
Hence, the statement that completes the blank is (c)
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3
2) Sandy practice her clarinet hour on Monday and 1 - hours on Tuesday. How
4.
6
many total hours did she practice?
Answer:
1 11/12
Step-by-step explanation:
3/4 + 1 1/6
= 3/4 + 1/6 = (9+2)/12 = 11/12 + 1 = 1 11/12
calculate the distance that P is :
a. north of Q b.east of Q
The distance of P at north of Q is 34.98 km.
The distance of P at east of Q is 19.39 km.
What is the distance of P?
The distance of P at the given directions is calculated by resolving the vector into vertical and horizontal components.
The distance of P at north of Q is calculated as follows;
Py = d sinθ
Py = 40 km x sin (61)
Py = 34.98 km
The distance of P at east of Q is calculated as follows;
Px = d cosθ
Px = 40 km x cos (61)
Px = 19.39 km
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x+3 6 ≥ x 4 + 1
which value of x is a solution to the inequality?
Step-by-step explanation:
alesfsia_ryan
soni5_62
Please help me with this
Answer:
B
Step-by-step explanation:
Combine like terms
8x + x = 9x
Put the numbers in the correct format
x³ + 9x + 5
This type of equation is a cubic trinomial because it has 3 terms and the first term is x cubed.
I hope this helps and please mark me as brainliest!
Answer:
The answer is B
Step-by-step explanation:
It is a cubic and a trinomial
You have 32 Tbsp of peppercorns. You need 0.25 teaspoons to make one serving of Cajun seasoning. How many servings can you make?
Answer:
384
Step-by-step explanation:
convert tablespoons to teaspoons
32 tbsp is 96 teaspoons
96/.25=384
The total number of servings is 128.
Given ;
We have 32 Tbsb of peppercorns .
You need to make 0.25 teaspoons of cajun seasaning
Then ,
No. of Serving can you make is = \(\frac{32}{0.25}\)
= 128
The total number of servings make is 128 .
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Identify the number of solutions of the system of linear equations.
x=y+3z=6
x-2y = 5
2x - 2y + 5z = 9
no solution
exactly one solution
infinitely many solutions
Solve the system. If there are infinitely many solutions, write the ordered triple in terms of z. If there is no solution, lea
The solution is (x, y, z)
-1.2
3
The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.
Let's solve the system of linear equations correctly.
The given system of linear equations is:
x = y + 3z = 6
x - 2y = 5
2x - 2y + 5z = 9
To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:
From equation 1, we have:
x = y + 3z
Substituting this value of x in equation 2:
(y + 3z) - 2y = 5
y + 3z - 2y = 5
-z + 3z = 5 - y
2z = 5 - y
Now, let's substitute the value of x in equation 3:
2(y + 3z) - 2y + 5z = 9
2y + 6z - 2y + 5z = 9
11z = 9
Simplifying the equation, we find:
z = 9/11
Now, substituting this value of z back into the equation 2z = 5 - y, we get:
2(9/11) = 5 - y
18/11 = 5 - y
18/11 - 5 = -y
18/11 - 55/11 = -y
-37/11 = -y
y = 37/11
Finally, we can substitute the values of y and z into equation 1 to find the value of x:
x = y + 3z
x = 37/11 + 3(9/11)
x = 37/11 + 27/11
x = 64/11
Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).
The system has exactly one solution.
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The slope of the tangent line to the curve y= 3/x
at the point 5, 3/5 is-
The equation of this tangent line can be written in the form y = mx + b
where:
m is:
b is:
The tangent line at that point is:
y = (-3/25)*x + 6/5
so m = -3/25, and b = 6/5
How to find the slope of the tangent line?To find the slope at that point, we need to evaluate the derivative at that point.
y = 3/x
The derivative is:
y' = -3/x²
When x = 5, we have:
y' = -3/5² = -3/25
So that is the slope, m.
Now let's find the line.
The line must pass trhough the point (5, 3/5), then:
3/5 = (-3/25)*5 + b
3/5 = -3/5 + b
3/5 + 3/5 = b
6/5 = b
The equation of the line is:
y = (-3/25)*x + 6/5
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Instructions: Find the value of x
I’ll mark brainliest please help
The little lines theu each section are telling you all those sections are identical, which mean they are the same length.
You are told one section is 10, which means x is also 10
X = 10
A rectangular prism has a length of 14 feet, a height of 11 feet, and a width of 13 feet. What is its volume, in cubic feet ?
Please awnser asap I will brainlist
Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.
How many tickets of each kind has been sold?Let's solve the problem step by step.
Let:
x = number of $10 tickets sold
y = number of $20 tickets sold
z = number of $30 tickets sold
From the given information, we can form the following equations:
Equation 1: x + y + z = 3318 (Total number of tickets sold)
Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)
Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)
We can use these three equations to solve for the values of x, y, and z.
First, let's substitute Equation 2 into Equation 1:
x + (x + 109) + z = 3318
2x + 109 + z = 3318
2x + z = 3209 (Equation 4)
Now, let's substitute the value of y from Equation 2 into Equation 3:
10x + 20(x + 109) + 30z = 61760
10x + 20x + 2180 + 30z = 61760
30x + 30z = 59580
x + z = 1986 (Equation 5)
We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.
Multiplying Equation 4 by 30, and Equation 5 by 2, we get:
60x + 30z = 96270 (Equation 6)
2x + 2z = 3972 (Equation 7)
Now, subtract Equation 7 from Equation 6:
(60x + 30z) - (2x + 2z) = 96270 - 3972
58x + 28z = 92298
Simplifying, we have:
29x + 14z = 46149 (Equation 8)
Now, we can solve Equations 5 and 8 simultaneously:
x + z = 1986 (Equation 5)
29x + 14z = 46149 (Equation 8)
Multiplying Equation 5 by 14, and Equation 8 by 1, we get:
14x + 14z = 27804 (Equation 9)
29x + 14z = 46149 (Equation 8)
Now, subtract Equation 9 from Equation 8:
(29x + 14z) - (14x + 14z) = 46149 - 27804
15x = 18345
Divide both sides of the equation by 15:
x = 18345 / 15
x = 1223
Substituting the value of x into Equation 5, we can find z:
1223 + z = 1986
z = 1986 - 1223
z = 763
Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:
1223 + y + 763 = 3318
y + 1986 = 3318
y = 3318 - 1986
y = 1332
Therefore, the solution to the problem is:
x = 1223 (number of $10 tickets sold)
y = 1332 (number of $20 tickets sold)
z = 763 (number of $30 tickets sold)
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How do we know where to label base and where to label height on a trapezium. does it matter where they are on the trapezium or does it have to be in rectangular please help on question
The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.
In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.
Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.
Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.
It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.
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Select the correct answer. Brad is planting flowers in a grid-like pattern in his garden. He is trying to determine the possible numbers of rows and columns in which he can plant his flowers. He determines that two possibilities are 8 rows and 25 columns or 10 rows and 20 columns. What is the constant of proportionality in this inverse variation?
Answer:
\(C.\ 200\)
Step-by-step explanation:
Given
Let R represents rows and C represents Columns
When R = 8, C = 25
When R = 10, C = 20
Required
Given that there exist an inverse variation, determine the constant of proportionality;
We start by representing the variation;
\(R\ \alpha \ \frac{1}{C}\)
Convert proportion to an equation
\(R\ = \ \frac{k}{C}\)
Where k is the constant of proportion;
\(R * C\ = \ \frac{k}{C} * C\)
Multiply both sides by C
\(R * C\ = k\)
Reorder
\(k = R * C\)
When R = 8, C = 25;
The equation \(k = R * C\) becomes
\(k = 8 * 25\)
\(k = 200\)
When R = 10, C = 20;
The equation \(k = R * C\) becomes
\(k = 10 * 20\)
\(k = 200\)
Hence, the concept of proportionality is 200
Help? Can someone explain this please
Slope is 1 and (-2, -1) is on the line.
Answer:
You can’t find the slope of a line if only given one point. If you had a visual representation of the line such as a graph or a table you could find a second point and then use the formula for slope, y = (y2-y1) / (x2-x1).
Imagine a single point on the xy graph. You could take a random point elsewhere from an infinite number of points and would be able to draw a line and find the slope. This means there could be an infinite number of different slopes for one point. One point on an unknown line is not enough information to determine the slope of its line without a graph or a table.
Solve for x: 125^(3x+7)=25^(5x−11)
Answer:
x = 43
Step-by-step explanation:
125^(3x+7)=25^(5x−11)
Rewriting the bases as powers of 5
125 = 5^3 and 25 = 5^2
5^3 ^ (3x+7) = 5^2^(5x-11)
We know a^b^c = a^ (b*c)
5^(3 * (3x+7)) = 5^(2*(5x-11))
Distribute
5^(9x+21) = 5^(10x-22)
The bases are the same so the exponents are the same
9x+21 = 10x-22
Subtract 9x from each side
9x+21 -9x = 10x-9x-22
21 = x-22
Add 22 to each side
21+22 = x-22+22
43 = x
Formula D = m/V
m = 12 g
V = 3 mL
What is the Density of the object in g/mL?
Do not include the units in your answer.
Gail works for Ice Cream To-Go. She needs to fill the new chocolate dip cones completely with vanilla ice cream, so that it is level with the top of the cone. Gail knows that the radius of the inside of the cone top is 25 millimeters and the height of the inside of the cone is 129 millimeters.
Using 3.14 for , how much vanilla ice cream will one chocolate dip cone hold when filled to be level with the top of the cone?
Answer:
84,327.50 cubic meters
Step-by-step explanation:
Volume of a cone 1/3(nr^2h)
n = 3.14
r = radius
h = height
1/3 x 3.14 x 25^2 x 129 = 84,327.50 cubic meters
Select the correct answer.
A population of pea aphids doubles every week. The population begins with 300 individual pea aphids. In how many weeks will the population
reach 9,600 individuals?
ОА.
3 weeks
B.
32 weeks
Ос.
5 weeks
D.
16 weeks
Reset
Reset
Next
Answer:
B.
Step-by-step explanation:
Answer:
The answer is C. 5 weeks.
Step-by-step explanation:
what is the y intercept of 2(x-2)^2+3
Answer:
y intercept is 11 or (0,11)
Step-by-step explanation:
\(y = 2 {(x - 2)}^{2} + 3 \\ y = 2 {(0 - 2)}^{2} + 3 \\ y = 2(4) + 3 \\ y = 8 + 3 \\ y = 11\)
f(1)=0
f(n)=f(n−1)+2
Answer: f(n) = 2n - 2
Therefore, we can use this formula to find the value of f(n) for any positive integer n.
Step-by-step explanation: Using the given recursive formula:
f(1) = 0
f(n) = f(n-1) + 2
We can find the values of f(n) for different values of n:
f(1) = 0
f(2) = f(1) + 2 = 0 + 2 = 2
f(3) = f(2) + 2 = 2 + 2 = 4
f(4) = f(3) + 2 = 4 + 2 = 6
f(5) = f(4) + 2 = 6 + 2 = 8
And so on.
We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:
f(n) = 2n - 2
Therefore, we can use this formula to find the value of f(n) for any positive integer n.
solve ABC given BC= 61cm, AB=57cm and B= 190 degree.
Answer:
Your question is missing some parts
and the degree seems off is it 90⁰
You pick a marble, roll a die, and pick a card. How many outcomes are possible?
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
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The perimeter of a triangle is 70 in. The shortest side is 11 in. less than the longest side. The middle side is 24 in. less than the combined lengths of the
shortest and longest sides. Find the lengths of the three sides.
Answer:
The sides are
6
inches,
8
inches and
10
inches
Explanation:
I'd suggest that the question should read 'The perimeter of a triangle is 24 inches. The longest side is 4 inches longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?'
In this case the question can be answered. If
x
is the length of the middle side, then the shortest side is 3/4x and the longest side is 3/4x+4
x+3/4x+3/4x+4=24
10/4x=20
x=8
Then the shortest side is 6and the longest side is 10
Step-by-step explanation: