Answer:
-5/40
Step-by-step explanation:
(1/40)(4) + (10/40)(2) - (29/40)(1)
HELP
1. (08.01) Two lines, A and B, are represented by the following equations:
Line A: y = -x + 4
Line B: y = -x + 4
Which statement is true about the solution to the set of equations? (4 points)
It is (1, 2).
There are infinitely many solutions.
It is (1, 5).
There is no solution.
Answer:
there is no solution since the equations are the same hence on trying to solve all variables will cancel out
5. On a cattle farm, the ratio of beef cattle to dairy cattle is 4:3.
3
(a) Interpret the ratio: For every
beef cattle, there are
cattle.
dairy
(b) If there are 24 dairy cattle, how many
beef cattle would there be? Show your
work.
For every 4 beef cattle there is 3 dairy cattle. For 24 dairy cattle there will be 32 beef cattle as per the given ratio of 3:4.
What is ratio?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.
Here,
a. No for every 4 beef cattle there is 3 dairy cattle.
b. 4/3=x/24
x=4*24/3
x=32 beef cattle
There are 3 dairy cattle for every 4 beef cattle. According to the stated ratio of 3:4, there will be 32 beef cattle for every 24 dairy cattle.
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A bakery is collecting data to investigate how changing the price charged for a loaf of bread affects the bakery’s daily profit. The graph shows the data the bakery has collected. Which quadratic function is the best model for the data? y = − 8 ( x + 4 ) 2 + 800 y = − 8 ( x + 4 ) 2 + 800 y = − 8 ( x − 4 ) 2 + 800 y = − 8 ( x − 4 ) 2 + 800 y = − 200 ( x + 4 ) 2 + 800 y = − 200 ( x + 4 ) 2 + 800 y = − 200 ( x − 4 ) 2 + 800
Considering the vertex of the graph, it is found that the quadratic function that is the best model for the data is given by:
\(y = -200(x - 4)^2 + 800\)
What is the equation of a quadratic function given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
\(y = a(x - h)^2 + k\)
In which a is the leading coefficient.
Researching the problem on the internet, it is found that the vertex is at point (4,800), hence h = 4 and k = 800.
\(y = a(x - 4)^2 + 800\)
It has a value of y = 0 at x = 6, hence:
\(0 = a(6 - 4)^2 + 800\)
\(a = -200\)
Thus, the model is:
\(y = -200(x - 4)^2 + 800\)
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Which of these strategies would eliminate a variable in the system of equations?
(2z + 8y = -3
3x + 6y = -4
Choose all answers that apply:
Multiply the top equation by 3, multiply the bottom equation by -2, then add the
equations.
Multiply the top equation by -4, multiply the bottom equation by 3, then add the
equations.
Multiply the top equation by 3, multiply the bottom equation by 4, then subtract the
bottom equation from the top equation.
Answer:
A.)
Step-by-step explanation:
The strategy that would eliminate a variable would be A.) Multiply the top equation by 3, multiply the bottom equation by -2, then add the equations.
Because when you multiply 3 by 2 you get 6x. Then you multiply -2 by 3 getting -6x. When you add -6x and 6x you get 0, meaning that the variable x would be eliminated.
Convert the equation:
\(6x ^{2} - 3y ^{2} + 12x - 18y - 3 = 0\)
to the standard form of a hyperbola.
Answer:
(x+1)²/6 - (y+3)²/12 = 1
Step-by-step explanation:
The standard form of writing the equation of an hyperbola is expressed as;
(x-h)²/a² - (y-b)²/b² = 1 where (h,k) is the centre of the hyperbola.
Given the equation:
6x²-3y²+12x-18y-3 = 0
We are to convert it to the standard form of writing the equation of a hyperbola.
Collecting the like terms will give;
(6x²+12x)-(3y²+18y)-3 = 0
Divide through by 3
(2x²+4x)-(y²+6y)-1 = 0
Completing the square of the equation in parenthesis and adding the constants to the other side of the equation:
(2x²+4x)-(y²+6y+(6/2)²)-1 = 0+(6/2)²
(2x²+4x)-(y²+6y+9)-1 = 9
2x²+4x -{(y+3)²} = 9+1
2x²+4x - (y+3)² = 10
Divide through by 2
x²+2x -(y+3)²/2 = 5
(x²+2x+(2/2)²)-(y+3)²/2 = 5+(2/2)²
(x²+2x+1) - (y+3)²/2 = 5+1
(x+1)²-(y+3)²/2 = 6
Divide through by 6
(x+1)²/6 - (y+3)²/12 = 1
The resulting equation is the required standard form of a hyperbola with centre at (-1, -3)
is this a rigid motion
The transformation in this problem is a translation combined with a reflection, hence yes, it is a rigid motion, as the side lengths of the transformed figure are equal to the side lengths of the original figure.
What are transformations on the graph of a function?Examples of transformations are given as follows:
Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.The dilation is the only transformation that is not a rigid motion, as it changes the side lengths of the figure.
The transformation for this problem has the rule defined as follows:
(x,y) -> (x + 2, -y).
The transformations are defined as follows:
x -> x + 2 is a translation right two units.y -> -y is a reflection over the x-axis.Neither transformation is a dilation, hence it is a rigid motion.
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5. Angle ABC measures pi/4 radians, and the coordinates of C are about (0.71, 0.71), b.
A circle on a coordinate plane, center at the origin, B, radius 1. Points on the circle, A, at 1 comma 0, C in the first quadrant, D in the second quadrant, E in the fourth quadrant. Segment B C.
The measure of angle ABD 3pi/4 is radians. What are the approximate coordinates of D? Write your answer in the following format: (x,y) with no spaces. Round your answer to the nearest hundredth.
HELPPPPP
Answer: (-.71, .71)
Step-by-step explanation:
To find the approximate coordinates of point D, we need to consider the angle ABD that measures \(3pi/4\)radians.
Since point B is the center of the circle with radius 1 and point A lies on the x-axis at (1, 0), we can calculate the coordinates of point D using trigonometry. First, let's find the coordinates of point B, which is the origin (0, 0). Since the angle ABD measures\(3pi/4\) radians, we know that angle ABO is pi/4 radians (complementary angle to ABD).
Using trigonometry, we can find the x-coordinate of point D based on the angle ABO: x-coordinate of D = cos(pi/4) = cos(45 degrees) = 1/sqrt(2) ≈ 0.71 Similarly, using trigonometry, we can find the y-coordinate of point D based on the angle ABO: y-coordinate of D\(= sin(pi/4) = sin(45 degrees) = 1/sqrt(2) ≈ 0.71\) Therefore, the approximate coordinates of point D are (0.71, 0.71).
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Pizza math mashupmath
Answer:is this a joke?
Step-by-step explanation:
Answer:
3 x 3 +5 = 14
Step-by-step explanation:
Help ASAP giving BRAINLIEST! Am i correct?
Answer:
The answer is yes
Step-by-step explanation:
x-7 > 27
x> 27 +7
x > 34
Answer:
Yes
Step-by-step explanation:
We have the inequality:
x-7 > 27
To solve this, we have to get by itself. 7 is being subtracted from x. To undo this, add 7 to both sides, since addition is the opposite of subtraction.
x-7+7>27+7
x>34
So, your answer is correct
Help with all these? pls
1. 76.56.
2. 96
3. The largest solution to the equation x²+16x+28=138 is 6.71.
4. The smallest solution to the equation x²+14x+14=145 is 5.96.
What is an equation?Equations are used to express relationships between variables and solve mathematical problems.
1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result (19/2)² = 76.56.
2. This is calculated by taking the coefficient of x (30) and dividing it by two (30/2) and then squaring the result (30/2)² = 96.
3. This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (16) plus or minus the square root of the coefficient of x squared (16²) minus 4 times the coefficient of the x term (4x16) minus the constant (28) divided by 2 times the coefficient of the x term (2x16).
4. This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (14) plus or minus the square root of the coefficient of x squared (14²) minus 4 times the coefficient of the x term (4x14) minus the constant (14) divided by 2 times the coefficient of the x term (2x14).
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1. For the given equation, c need to be 90.25 to complete the square.
2. 225
3. The largest solution to the equation x²+16x+28=138 is 6.
4. The smallest solution to the equation x²+14x+14=145 is -14.
What is an equation?Equations are used to express relationships between variables and solve mathematical problems.
1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result
(19/2)² = 90.25.
2. This is calculated by taking the coefficient of x (30) and dividing it by two which is (30/2) and then squaring the result
(30/2)² = 225.
3. The largest solution to the equation x²+16x+28=138 is 6.
This can be calculated by using the quadratic formula to solve the equation.
(a=1, b=16, c=28)
x = -8 ± √((16)² - 4(1)(28))/2(1).
x = -8 ± √(240)/2
x = 6 or -14.
Since 6 is the larger solution, it is the largest solution to the equation.
4. The smallest solution for x2+14x+14=145 can be determined by using the Quadratic Formula.
a=1, b=14, and c=14
x = [-14 ± √(142-4(1)(14))]/(2(1))
x = [-14 ± √(196)]/2
x = [-28/2] or [14/2]
x = -14 or 7
Therefore, the smallest solution for x2+14x+14=145 is x=-14.
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as
Classify each pair of angles
complementary, supplementary, or neither.
Answer:
complementary
Step-by-step explanation:
complementary angles add up to 90
60 + 30 = 90
given the equation y = 2x - 8 what is the slope and the y-intercept
Answer:
slope: 2
y intercept 0, -8
Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
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5. Alfredo made a container shaped like a triangular prism, as shown in the diagram
11 in.
What is the volume of the container in cubic inches?
Record your answer in the boxes. Be sure to use the correct place value.
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
Write 1/5 as a percent.
Answer:
0.2
Step-by-step explanation:
Is -3•-15 positive or negative
Answer:
positive
Step-by-step explanation:
A negative times a negative is a positive
Brian set his compass equal to the radius of circle C and drew two circles centered at points A and B on circle C. He labeled the points of intersection of the two circles as shown.
Two circles are drawn by having another circle in the center. The center circle has points A, M, N, B, P, Q, and C. At C the two circles intersect, and at P the center circle and the top circle intersect.
To complete his construction, Brian only needs to use his straightedge to draw some chords of circle C.
Which figures could Brian be constructing?
equilateral triangle MNQ inscribed in circle C
equilateral triangle ANP inscribed in circle C
regular hexagon AMNBPQ inscribed in circle C
square MNPQ inscribed in circle C
square ANBQ inscribed in circle C
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
Brian is constructing figures inscribed in circle C.
Equilateral triangle MNQ inscribed in circle C:
This option is possible since the points M, N, and Q are labeled and they lie on circle C.
Equilateral triangle ANP inscribed in circle C:
This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.
Regular hexagon AMNBPQ inscribed in circle C:
This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.
Square MNPQ inscribed in circle C:
This option is not possible based on the given information. The label points do not form a square.
Square ANBQ inscribed in circle C:
This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
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The area of a square is 36 sq.cm, then its perimeter is a) 24 cm b) 6 cm c) 144 cm d) 36 cm
Answer:
a
Step-by-step explanation:
the perimeter (P) of a square is the sum of the 4 congruent sides.
the area of a square is calculated as
area = s² ( s is the length of a side )
here area is 36 , then
s² = 36 ( take square root of both sides )
s = \(\sqrt{36}\) = 6
then
P = 4s = 4 × 6 = 24 cm
It is known that the number of hours a student sleeps per night has a normal distribution. The sleeping time in hours of a random sample of 8 students is given below. See Attached Excel for Data. 8.6, 8.3, 7.6, 6, 7.1, 5.6, 5.1, 6 Compute a 98% confidence interval for the true mean time a student sleeps per night and fill in the blanks appropriately. We have 98 % confidence that the true mean time a student sleeps per night is between and hours. (round to 3 decimal places)
We have 98 % confidence that the true mean time a student sleeps per night is between 6.2928 hours and 7.1832 hours.
Mean = (8.6 + 8.3 + 7.6 + 6 + 7.1 + 5.6 + 5.1 + 6)/ 8 = 6.7875
Standard deviation = √Σ(x - mean)²/n
Σ(x - mean)² = (8.6 - 6.7875)^2 + (8.3 - 6.7875)^2 + (7.6 - 6.7875)^2 + (6 - 6.7875)^2 + (7.1 - 6.7875)^2 + (5.6 - 6.7875)^2 + (5.1 - 6.7875)^2 + (6 - 6.7875)^2
Standard deviation : \(\sqrt{11.82875}/8\)
s = 0.42991
Confidence interval is written in the form,
(Sample mean - margin of error, sample mean + margin of error)
The sample mean, x is the point estimate for the population mean.
Margin of error = z × s/√n
Where
sample standard deviation
number of samples
From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score
In order to use the t distribution, we would determine the degree of freedom, df for the sample.
df = n - 1 = 8 - 1 = 7
Since confidence level = 98% = 0.98, α = 1 - CL = 1 - 0.98 = 0.02
α/2 = 0.02/2 = 0.01
the area to the right of z0.01 is 0.01 and the area to the left of z0.01 is 1 - 0.01 = 0.99
Looking at the t distribution table,
z = 2.998
Margin of error = 2.998 × 0.42/√8
= 0.4452
The lower limit of this confidence interval is
6.738 - 0.4452 = 6.2928
The upper limit of this confidence interval is
6.738 + 0.4452 = 7.1832
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3+ a equals 17 when a equals four is this given value a solution of the equation or an quality?
mnbvcxAnswer:
Step-by-step explanation:dfghjmjnhgf
Please help!!! i’ll give brainlyest The graph of the step function g(c) = -[x] + 3 is shown. What is the domain of g(x)?
{x| x is a real number
{x| x is a integer}
{x| -2 < x 5}
{x| -1 < x < 5}
i think it's a integer
Calculate the amount you would pay (including tax) for an item normally priced $1199 that is currently 30% off, for which you have an additional 10% off coupon, in an area where sales tax is 7%. (the discounts can be stacked or figured sequentially, tax must be applied after the discounted price is determined)
Answer: The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:
30% of $1199 = 0.3 x 1199 = $359.70
So, the discounted price is:
$1199 - $359.70 = $839.30
Next, we apply the additional 10% off coupon to this discounted price:
10% of $839.30 = 0.1 x $839.30 = $83.93
The final price after the coupon is applied is:
$839.30 - $83.93 = $755.37
Finally, we calculate the sales tax on this final price:
7% of $755.37 = 0.07 x $755.37 = $52.88
The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Help me with this pleaseeeee
Answer:
Step-by-step explanation:
2+6(3)-10/2
2+18-5 NOT 8(3)-10/2: 2+6*3!=8*3=>2(3)+6(3)=8(3)
20-5=15
Jason sells trail mix online. The table below lists the numbers of boxes in the orders on one day for his most popular fruit and nut mix.
Which dot plot represents the data in the table?
The dot plot that represents the data in the table is: D.
How to Represent a Data on a Dot Plot?If we have a given set of data values of a data distribution, "x" can be used to represent each of the data point in the data set. The number of "x" on a data point, tells the frequency of the data point that is displayed by a dot plot.
To construct the dot plot given in the diagram, find the frequency of each data point. Thus, we would have the following:
50 - 3
60 - 2
80 - 3
90 - 8
100 - 4
Thus, the dot plot in option D displays the exact number of "x" that tallies with the above frequency for each data point. Therefore, the dot plot that represents the data in the table is: D.
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A second function, g, is defined by
g
(
x
)
=
–
3
x
+
2.
Select the correct phrase in each drop-down menu to complete the sentence.A second function, g, is defined by
g
(
x
)
=
–
3
x
+
2.
Select the correct phrase in each drop-down menu to complete the sentence.
The figure shows a graph of the function fx in the coordinate plane. f2 is greater than g2.
As the graph of function f(x) is a parabola, so that the equation of function f(x) is:
f(x) = \(ax^2+bx+c\)
As it can be seen in thee figure, the graph of function f(x) cross points (0;8) ;(-2; 0) and (4;0)
=> f(0) = 8; f(-2) = 0; f(4) = 0
We have:
f(x=0) = a x 0 + b x 0 + c = 8 => c = 8
We have:
+) 4a -2b + 8 = 0 => 2 x (4a -2b + 8) = 8a - 4b + 16 = 0 (1)
+) 16a + 4b + 8 = 0 (2)
We take (2) minus (1)
=> (16a + 4b + 8) - (8a - 4b + 16) = 0
=> 8a - 8 = 0 => a = 1
Replace a = 1 into (1)
=> 8 x 1 - 4b + 16 = 0 => b = 6
f (2) = 2^2 + 6 x 2 + 8 = 24
g (2) = 3 -2 + 2 = 3
Thus, f(2) is greater than g(2).
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AB has one endpoint located at A (4.5, -3) and the midpoint is located at M (1,2). What is the location of the other endpoint B?
10:
6
2
-10-8
-2)
.6
O A (-7,2.5)
B. (9, - 8)
O
C. (-2.5,7)
O D. (8-9)
Answer:
X = -2.5 y = 7
Step-by-step explanation:
Midpoint formula x1 + x2/2 y1+y2/2
A = (4.5, -3) M = (1,2) B = our unknown so we will call it (x,y)
4.5 + x /2 = 1 -3 + y / 2 = 2
2{ 4.5 + x/2] = 1 * 2 2[ -3 + y/2] = 2 * 2
4.5 + x = 2 -3 + y = 4
x + 4.5 - 4.5 + 2 - 4.5 y - 3 + 3 = 4 + 3
x = -2.5 y = 7
Evaluate g(x)=4−3x when x=−3, 0, and 5.
g (-3) __
g(0) __
g(5) __
Answer:
g(-3)=13, g(0)=4 and g(5)= -11
Answer:
Step-by-step explanation:
g(-3) = 4 - 3(-3) = 13
g(0) = 4 - 3(0) = 4
g(5) = 4 - 3(5) = -11
Ms. Smith bought a 5 pound bag of candy for her 6 grade classroom. She gave away 2 pounds of candy to her students during the first unit of
instruction and ate 6 ounces of candy during planning.
How many ounces of candy does Ms. Smith still have in her bag?
Note: (1 pound = 16 ounces)
A 38 ounces
o
B. 42 ounces
O c. 48 ounces
D. 54 ounces
Answer:
42 ounces or B
Step-by-step explanation:
5 pounds - 2 pounds=3 pounds
3 pounds=48 ounces
48 ounces-6 ounces=42 ounces
Find the equation of a line that passes through (2,11) and is parallel to the graph of y=4x+5. Wrote the equation in slope-intercept form, if possible.
Answer:
y = 4x + 3
Step-by-step explanation:
Two lines are parallel if they have the same slope.
\(\\\)
Let's say the line y = 4x + 5 is line 1.
Line 1 is in the form of y = mx + b (slope-intercept form)
where:
m = slope
b = y-intercept
\(\\\)
Line 1 has a slope of 4. Let's say the slope of line 1 is m₁
\(\\\)
The problem says the we need to find a line that is parallel to line 1 and passing through point (2, 11). Let's say the line we want to find is Line 2 and it's slope is m₂.
\(\\\)
Since line 1 and line 2 are parallel, their slope is the same, m₁ = m₂.
m₂ = 4
\(\\\)
Since line 2 is passing through a point, we can use the point-slope form of a line to determine the equation of the line.
Point-slope form of a line:
\(\mathsf{y-y_1=m(x-x_1)}\)
where:
y₁ = y coordinate of the point
x₁ = x coordinate of the point
m = slope of the line
\(\\\)
For the line 2, the coordinates of the point is (2, 11). x₁ = 2 and y₁ = 11.
Substituting all the values we have in the point-slope form:
\(\mathsf{y-11=4(x-2)}\)
simplifying the equation and converting it to slope-intercept form
\(\mathsf{y-11=4x-8}\)
\(\mathsf{y=4x-8+11}\)
\(\mathsf{y=4x+3} \longleftarrow \textsf{\textbf{ANSWER}}\)
According to this diagram, what is tan 62 degrees ?
Answer:
According to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.
What is the right angle triangle property?
In a right-angle triangle ratio of the opposite side to the adjacent side is equal to the tangent angle between the adjacent side and the hypotenuse side.
Here, (b) is the opposite side, (a) is the adjacent side, and is the angle made between the adjacent side and the hypotenuse side.
The sides of the triangle are 8, 15, and 17 units long and the measure of the angles of the right angle triangle is 62, 90, and 28 degrees.
Re-draw, the Here in the given triangle, the base is the side which is 15 units long. Re-draw the triangle as shown below.
In the attached triangle below, the opposite side of the triangle is 15 units and the adjacent side of the triangle is 8 units long.
The angle between the opposite side and the adjacent side is 62 degrees. Thus using the right angle triangle property as,
Thus, according to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.
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