Graph the given equation:-36q = 18
Answers
STEP - BY - STYEP EXPLANATION
Given:
36q = 18
Step 1
Divide both-side of the equation by 36
\(\begin{gathered} 36q=18 \\ \\ q=\frac{1}{2} \end{gathered}\)Step 2
Graph the equation
ANSWER
Related Questions
if f(x)=5x-7,what isf(3)?
Answers
Answer:
Explanation:
f ( − 3 ) basically means substitute − 3 for x in the function − 5 x
f
(
−
3
)
=
−
5
(
−
3
)
−
7
f
(
−
3
)
=
15
−
7
f
(
−
3
)
=8
Step-by-step explanation:
How can you use the formula for area of a
parallelogram to determine the area of a trapezoid if you forgot the
formula for area of a trapezoid.
Answers
Answer:
Step-by-step explanation:
The area of a parallelogram of width W and length L is A = W*L.
The area of a trapezoid of width W and different side lengths L1 and L2 is
A = W(L1 + L2)/2.
To find the area of the trapezoid, take the average of the lengths L1 and L2 of the two parallel sides and call the result L. Then apply the formula for the area of a parallelogram, given above).
How many solutions does the nonlinear system of equations graphed below have?
Answers
Answer:
C. Four
Step-by-step explanation:
Because the circle (which could be represented by one equation) and the parabola (which could be represented by another equation) intersect at four distinct points, the graphed systems of equations has four solutions.
Answer:
It has four solution so the answer is C.
Step-by-step explanation:
Please see attached picture.
Need help answering.
Answers
In the given graph, the x-intercepts are (2,0) and (6,0).
The axis of symmetry is the vertical line that passes through the vertex. Since the vertex is at (4,-2), the axis of symmetry is the line x = 4.
The interval on which the graph is increasing is (-∞,4), and the interval on which it is decreasing is (4,∞).
The sign of the leading coefficient is positive, since it is 1/2.
To find the equation of the quadratic function, we start by using the vertex form:
\(y = a(x - h)^2 + k\)
where (h, k) is the vertex. Plugging in the given vertex (4,-2), we get:
\(y = a(x - 4)^2 - 2\)
Next, we use the other two points to find two additional equations:
\(6 = a(8 - 4)^2 - 2 (plugging in (8,6))\\0 = a(2 - 4)^2 - 2 (plugging in (2,0))\)
Simplifying these equations, we get:
\(6 = 16a - 2\\8a = 4 -- > a = 1/2 \\0 = 4a - 2 \\4a = 2 -- > a = 1/2 \\\)
So the equation of the quadratic function is:
\(y = (1/2)(x - 4)^2 - 2\)
Now, we can answer the questions:
The y-intercept is the point where the graph intersects the y-axis. To find it, we set x = 0 in the equation:
\(y = (1/2)(0 - 4)^2 - 2 = 6\)
So the y-intercept is (0,6).
To find the x-intercepts, we set y = 0 in the equation:
\(0 = (1/2)(x - 4)^2 - 2\)
Simplifying, we get:
\((x - 4)^2 = 4\\ - 4 = \pm 2 \\= 2, 6\)
So the x-intercepts are (2,0) and (6,0).
The axis of symmetry is the vertical line that passes through the vertex. Since the vertex is at (4,-2), the axis of symmetry is the line x = 4.
The interval on which the graph is increasing is (-∞,4), and the interval on which it is decreasing is (4,∞).
The sign of the leading coefficient is positive, since it is 1/2.
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I need help with all of them. Please look at the picture. Thanks.
Answers
1. 7
2.6
3. 7
4.8
Solve math please.???
Answers
9514 1404 393
Answer:
a) 3
b) 1
c) y = 3x +1
Step-by-step explanation:
Given:
A(1, 4), B(2, 7)
m = (y2 -y1)/(x2 -x1)
Find:
a) the slope of the line through these points
b) the y-intercept of the line through these points
c) the equation of the line through these points
Solution:
a) Using the given formula, the slope is ...
m = (7 -4)/(2 -1) = 3/1 = 3 . . . the slope of the line
__
b) The y-intercept can be found from* ...
b = y1 -m·x1
b = 4 -3·1 = 1 . . . the y-intercept
__
c) The equation in slope-intercept form is ...
y = mx +b
y = 3x +1
_____
* This equation for the y-intercept is not one you see often. It can be derived from the point-slope form of the equation of a line:
y -y1 = m(x -x1)
y = mx -m·x1 + y1 = mx +b . . . . eliminate parentheses, add y1
b = y1 -m·x1 . . . . . . . . solve for b
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
Answers
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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Plz help me
I will thank you
Answers
Answer: 89674 buckets were produced in 4 months
Answer:
Step-by-step explanation:
First you have to do 5263 / 7 = 751.9 (rounded 751.857143)
Then do 751.9x121.6= 91 431
You get 121.6 because that is how many days are in 4 months.
Hope this helps !!!!
Have a good day/night!!<333
Which expression represents twice the sum of a number and six
Answers
Answer:
2(x + 6)
Step-by-step explanation:
If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:
2(x + 6)
Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)
The largest Prime number less than 100 is ?
Answers
Answer: 97
Step-by-step explanation: The first 25 prime numbers (all the prime numbers less than 100) are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 (sequence) just if you need all the primes
The largest prime number less than 100 is 97 by using the definition of prime number and examine the prime numbers that are smaller than 100.
To find the largest prime number less than 100, to examine the prime numbers that are smaller than 100.
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
Starting from 99 and moving downwards, check each number for divisibility by smaller numbers.
Any number that has divisors other than 1 and itself is not prime.
99 is not a prime number as it has more than one factors.
99 = 1, 3, 9, 11, 33, 99.
98 is not a prime number as it has more than one factors.
98 = 1, 2, 4, ........, 98.
97 is a prime number as it has more than one factors.
97 = 1, 97.
By doing this process, eventually reach 97, which is the largest prime number less than 100.
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HELP!!!! Write an exponential function to describe the given sequence of numbers.
Answers
Answer:
y = 5^(x+1)
Step-by-step explanation:
y = 5^(x+1)
x = 1 for the initial step
Kareem wrote the expressions shown below.
[3.2] [2.7] [2.9] [4.8]
Which pair is equivalent?
O [2.7] and [3.2]
O [2.9] and [2.7]
O [3.2] and [2.9]
O [4.8] and [3.21]
Answers
The equivalent pair of the given expression is; [4.8] and [3.21]
How to find equivalent pairs?Floor function states that the greatest integer that is less than or equal to x. It is represented by: ⌊ x ⌋.
Ceiling function states that the least integer that is greater than or equal to x. It is represented by ⌈ x ⌉.
Kareem wrote the expressions;
[3.2] [2.7] [2.9] [4.8]
By definition above;
[3.2] = 4
[2.7] = 2
[2.9] = 3
[4.8] = 4
Thus, the equivalent pair is [4.8] and [3.2]
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2 Mabaso has R140, Thabo has R70 and Ally has R35. What is the ratio of the amount of money Mabaso has, to the amount of money Thabo has and to the amount of money Ally has? Write the ratios in simplest form. The price of a steel table is R750. On Black Friday the table could be bought for R600. Calculate the percentage discount? Show ALL your calculations. Convert 125 g to kilograms. (1 kg = 1 000 grams) A green grocer packs 12 apples in a plastic bag. Calculate the number of bags he w need if he has 285 apples. The scale of a map is 1 500 000. Determine the actual distance in km if measurement on the map is 23,7 cm. Hint: 1 km = 100 000 cm
Answers
The actual distance represented by 23.7 cm on the map is 355.5 km.
To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.
Mabaso has R140, Thabo has R70, and Ally has R35.
The ratio of Mabaso's money to Thabo's money is:
R140 ÷ R35 = 4
The ratio of Mabaso's money to Ally's money is:
R140 ÷ R35 = 4
Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.
To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.
Original price: R750
Discounted price: R600
Discount: R750 - R600 = R150
Percentage discount: (R150 ÷ R750) × 100 = 20%
So, the table has a 20% discount on Black Friday.
To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).
125 g ÷ 1,000 = 0.125 kg
Therefore, 125 grams is equal to 0.125 kilograms.
If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.
Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags
Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.
If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.
1 cm on the map represents 1,500,000 cm in reality.
23.7 cm on the map represents x cm in reality.
x = 23.7 cm × 1,500,000 cm = 35,550,000 cm
To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).
35,550,000 cm ÷ 100,000 = 355.5 km
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woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost N5.40 and the meat cost #6.40. If she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay?
Answers
The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
What is the unit price?The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service
Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,
We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,
To find the same, we will first find the unit price of each,
Unit price = total price / total quantity
Since, 1.8 kg of chicken costs $5.40,
Therefore, 1 kg will cost = 5.40 / 1.8 = $3
Similarly,
If 1.6 kg of meat costs $6.40,
Therefore, 1 kg will cost = 6.40 / 1.6 = $4
Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,
Therefore,
2.4 kg of chicken will cost = 2.4 x 3 = $7.2
2 kg of meat will cost = 2 x 4 = $8
In total, she had to pay = 8+7.2 = $15.2
Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
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The parallel boxplots below display the quiz grades (out of 30) for two of Mrs. Smith’s statistics classes.
2 boxplots. A number line labeled quiz grades goes from 12 to 30. For class 1, there are points at 12, 14, 15, and 16. The whiskers range from 20 to 30, and the box ranges from 23 to 27. A line divides the box at 25. For class 2, the whiskers range from 22 to 30, and the box ranges from 25 to 28. A line divides the box at 26.
Which statement best compares the variability of the quiz scores for the two classes?
The quiz grades for class 1 have more variability than the quiz grades for class 2.
The quiz grades for class 1 have less variability than the quiz grades for class 2.
The quiz grades for class 1 are not as spread out as the quiz grades for class 2.
The quiz grades for class 1 are higher, on average, than the quiz grades for class 2.
Answers
Answer:
C, Class 2 performed better because their median score is higher than the median score for class 1.
Find the equation of the tangent to the parabola y²=6x at the positive end of the latus rectum
Answers
Answer:
Step-by-step explanation:
The latus rectum of the parabola y^2 = 6x is a line segment passing through the focus (3,0) and perpendicular to the axis of the parabola. The length of the latus rectum is 4p, where p is the distance from the vertex to the focus, and in this case, p = 3/2. Therefore, the positive end of the latus rectum is located at the point (3, 2p) = (3, 3).
To find the equation of the tangent to the parabola at this point, we need to first find the slope of the tangent. We can do this by taking the derivative of y^2 = 6x with respect to x:
d/dx (y^2) = d/dx (6x)
2y (dy/dx) = 6
Solving for dy/dx, we get:
dy/dx = 3/y
At the point (3,3), the slope of the tangent is:
dy/dx = 3/3 = 1
Therefore, the equation of the tangent to the parabola at the positive end of the latus rectum is:
y - 3 = 1(x - 3)
or
y = x - 3
Note that we have used the point-slope form of the equation of a line, with the point (3, 3) on the line and the slope of the tangent equal to 1.
Answer this volume based Question. I will provide 50 points + make you brainliest
Answers
Volume formulas:
Cube V = s³, (s - side),Cone V = πr²h/3, (r- radius, h- height),Sphere V = 4πr³/3, (r - radius)======================
Volume of metal, is same as the volume of the cone with radius a and height 2a:
V = πr²h/3 V = π(a²)(2a)/3 = 2πa³/3(i) The volume of the metal plank is half the volume of the metal:
V = (1/2)(2πa³/3) = πa³/3(ii) The volume of the two spheres is same as the volume of the plank, so the volume of each sphere is:
V = (1/2)πa³/3 = πa³/6The volume of sphere with radius r is 3πr³/4, compare the two and solve for r:
3πr³/4 = πa³/6r³ = 4a³/18r³ = 2a³/9r = a∛(2/9)(iii) Using the volume of the plank (cube), find the side length:
V = s³ (s- side of cube)V = πa³/3s³ = πa³/3s = a∛(π/3)(iv)
Use the formula from the previous part and substitute values of a and π to get:
a∛(π/3) = 12.5∛(3.14/3) = 12.5*1.01 = 12.6 (rounded)Tamika has $800 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $482.62.
She buys 3 bicycle reflectors for $10.84 each and a pair of bike gloves for $24.49.
She plans to spend some or all of the money she has left to buy new biking outfits for $52.93 each.
Which inequality can be used to determine o, the maximum number of outfits Tamika can purchase while staying within her budget?
Answers
The inequality that can be used to determine x, the number of outfits Tamika can purchase is; 539.63+ 52.93x ≤ 800
The given parameters are:
Budget = $800
New bicycle = $482.62
3 bicycle reflectors = $10.84 each
Pair of a bike gloves = $24.49.
New biking outfits = $52.93each.
Let the number of new biking outfits be x So, we have;
New bicycle + 3 . price of bicycle reflectors + Pair of a bike gloves + New biking outfits <= Budget
This gives;
482.62 + 3( 10.84) + 24.49+ 52.93x ≤ 800
This gives;
539.63+ 52.93x ≤ 800
Solve the inequality;
52.93x ≤ 260.37
Divide by 52.93
x ≤ 4.91
Hence, the inequality is 539.63+ 52.93x ≤ 800
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Determine whether a triangle with the given side lengths is a right triangle. Side lengths: 10, 11, 15 5, 12, 13 12, 15, 20 16, 30, 34
Answers
Answer:
Step-by-step explanation: Use the Pythagorean Theorem to check this.
Remember that the squares of the lengths of the two smaller sides should be equal to the square of the bigger side.
10,11,15 = NO
5,12,13 = YES
12,15,20 = NO
16,30,34= YES
Hope this helps.
According to the Venn Diagram below and given that P(A) = 3 as well as
P(B) = 35 what is P(AUB)?
A. 65
B. 75
C. 55
D. 45
Answers
The graphs of f(x) and g(x) are shown below.
On a coordinate plane, a straight line with a positive slope represents f (x) = x minus 3. The line goes through (0, negative 3) and (3, 0). On a coordinate plane, a straight line with a negative slope represents g (x) = negative 0.5 x. The line goes through (negative 4, 2), (0, 0), and (4, negative 2)
For what interval is the value of (f – g)(x) negative?
Answers
9514 1404 393
Answer:
x < 2 or (-∞, 2)
Step-by-step explanation:
(f -g)(x) = (x -3) -(-0.5x) = 1.5x -3
We want to find (f -g)(x) < 0, so we have ...
1.5x -3 < 0
1.5x < 3 . . . . . . . add 3
x < 2 . . . . . . . . . .divide by 1.5
The function (f -g)(x) is negative on the interval x < 2.
If 60th and 90th percentiles are 650 and 850 then what is the 75th percentile normal distribution
Answers
Answer:
(90+65)/2
=75
so
(650+850)/2
=750
Complete the inequality statement.
90 in. ___ 2 3/4 yd
A. >
B. <
C. =
Answers
Answer:
b
Step-by-step explanation:
90 inches is 2 1/2 yards
Use an associative law to find an expression equivalent to
s + (r + 75)
Answers
As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.
The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.
Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:
s + (r + 75) = (s + r) + 75
The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.
Let's take an example to illustrate this:
Suppose s = 10 and r = 20.
Using the original expression:
s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105
Using the expression with regrouped terms:
(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105
As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.
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If the sum of x and y is 90 and y is 6 more than four times x, which of the following systems of equations could be used to solve for x and y?
A.x+y=90
x−4y=6
B.x+y=90
4x−y=−6
C.x+y=90
6x−y=−4
D.x+y=90
4x−y=6
Answers
Answer:
B
Step-by-step explanation:
x + y =90
y= 4x +6
_______
x + y = 90
4x − y = -6
The equations are \(\rm x + y = 90\) and \(\rm 4x - y = -6\). Then the correct option is B.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The sum of x and y is 90.
And y is 6 more than four times x.
Let x and y be the numbers.
Then according to the first condition, we have
\(\rm x + y = 90\)
Then according to the second condition, we have
\(\rm y = 4x + 6\)
It can be written as
\(\rm 4x - y = -6\)
Then the equations are \(\rm x + y = 90\) and \(\rm 4x - y = -6\).
Thus, the correct option is B.
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Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answers
Answer:
Step-by-step explanation:
$100x0.5x1=$5
What is the value of (-5/8) x (-1/10) divided by (-3/5)?
Answers
Answer:
-5/48
Step-by-step explanation:
Simplify
GIVING BRAINLIST ASAP
At same swim shop if a customer buys a five ring for $8, swim googles for $16 and a beach ball for $7, they receive a discount of 1/4 off the original price. How much will the customer pay after the discount if they purchase all 3 items?
Answers
Answer:
$23.25
Step-by-step explanation:
8+16+7=31
1/4 of 31= 7.75
7.75x3=23.25
At a meeting for math enthusiasts, two entrance fees are charged. Anyone who knows the code word “algemath” only pays 2 euros. Those who are unlucky and do not know the code word pay three euros more. You know that 7338 people were present and that the cashier received 17487 euros. How many people knew the password?
Answers
Number of People who knows the Code are 6401
What is Linear Equation in Two Variable?
A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Solution:
Let, Number of People who kows the Code be x
Number of Peoplee who do not know the Code be y
According to the Question:
x + y = 7338 ----------(i)
2x + 5y = 17487 ----------(ii)
Multiplying Equation (i) by 2
2x + 2y = 14676 ---------(iii)
Substracting Equation (iii) from Equation (ii)
3y = 2811
y = 937
This means x = 6401
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Add.
6 5/6 + (−6 1/5)
This is a fraction, not a whole number negative sum.
Enter your answer as a simplified fraction in the box.
Answers
Answer:
19/30
Step-by-step explanation:
had this in an old problem in school
:D