Answer: z = x/y6
Step-by-step explanation:
Divide both sides of the equation by the factors that have to be moved to the other side of the equation from the variable you're trying to solve for.
x = yz6
x/y6 = yz6/y6 y/y and 6/6 cancel on the right side lo leave z isolated.
x/y6 = z
Reverse
z = x/6y
What’s the slope,y-intercept, transformations of (-) and (2)
-2 divided by -16/9 i need an answer now please
Answer:
9/8 (1.125 as a decimal)
Step-by-step explanation:
-2/-16/9 = -(-18/16) = -(-9/8) = 9/8 :)
Please help solve ive been on this question for hours
Answer:
Joseph pays £133.20
Step-by-step explanation:
740 - 296 = 444
30% of 444 = 133.20
Therefore he pays £133.20
Amy said 4/9 of her teammates got hits during a recent softball game. Which decimal represents this same amount?
A 0.49
B. O 0.444
c. O 0.49
D. 0.444
Answer:
.....Your answer is D
...
.
On the number line 0/2 1/2 2/2 3/2 4/2 5/2 6/2 7/2 8/2 what fraction on this number line is equal to one
Answer:
2/2
Step-by-step explanation:
all the number are either improper or mixed number etc.
2/2= 1
and u wanted to know which equals one and that is 2/2 because it is 1 whole.
Choose the system of equations which matches the following graph.
A. 3x-6y=12
9x-18y=36
B. 3x+6y=12
9x+18y=36
The system of equations that matches the given graph is:
A. 3x - 6y = 12
9x - 18y = 36
To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.
Looking at the options provided:
A. 3x - 6y = 12
9x - 18y = 36
B. 3x + 6y = 12
9x + 18y = 36
Let's analyze the equations in each option:
For option A:
The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.
The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.
In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.
For option B:
The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.
The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.
In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.
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The length of a rectangle is 3 times the width. The difference between the length and the width is 8.
The length of the rectangle is 12 units long.
What is a Rectangle?A rectangle is a geometric figure with equal opposite sides.
The angle between two consecutive sides is 90 degrees.
Area of rectangle = length x width. Perimeter of rectangle = 2 (length + width).
let's assume,
length = l, width = w
Given the,
The length of the rectangle is 3 times the width
l = 3w
The difference in length and width is 8 feet
l-b = 8
According to equations 1 and 2
3w - w = 8
2w = 8
w = 4
Substitute into expression 1
l = 3(4)
l = 12 units.
So the rectangle is 12 units long.
your question is incomplete, but most probably the full question was
The length of a rectangle is 3 times the width. The difference between the length and the width is 8 feet. Determine the rectangle's length
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In the right triangle shown, mZA = 30° and BC = 6√2.
How long is AC?
The length of AC in the right-angled triangle is 6√6.
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides.
In a right-angle triangle ABC,
The measure of the angles is 60°, 90°, and 30°.
Since 30-60-90 triangles have a side ratio of x: x√3 : 2x
Here x = 6√2
And AC = x√3
Therefore,
AC = x√3 = 6√6
Hence, the length of AC in the right angle triangle is 6√6.
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If you need 30 teaspoons of vanilla extract, how many ounces of vanilla do you need?5
If you need 30 teaspoons of vanilla extract and vanilla is sold in a 4 oz. bottle, how many bottles of vanilla should you buy?8
How much leftover vanilla will you have?
pls need help
a copper wire of diameter 8mm is wrapped around a cylinder of length 24cm
The length of the wire is 46.218 m and the volume of the wire is 7206.4 cm³.
What is the length of the wire and volume of the cylinder?
To find the length of the wire, we need to calculate the circumference of the cylinder and multiply it by the number of times the wire is wrapped around it.
The circumference of the cylinder is the distance around the circular face, and can be calculated using the formula:
Circumference = π × diameter
where;
π is a constant approximately equal to 3.14.The diameter of the cylinder is 49 cm, so its circumference is:
Circumference = π × diameter = 3.14 × 49 cm = 154.06 cm
The wire is wrapped around the cylinder lengthwise, so the number of times it wraps around the cylinder is equal to the length of the cylinder divided by the diameter of the wire:
Number of wraps = Length of cylinder / Diameter of wire
The length of the cylinder is 24 cm, and the diameter of the wire is 8 mm, or 0.8 cm. So the number of wraps is:
Number of wraps = 24 cm / 0.8 cm = 30
Therefore, the length of the wire is:
Length of wire = Circumference of cylinder × Number of wraps
= 154.06 cm × 30
= 4621.8 cm or 46.218 m (to three decimal places)
To find the volume of the wire, we need to use the formula for the volume of a cylinder:
Volume of cylinder = π × (radius)² × height
Volume of wire = π × (0.4 cm)² × 4618.2 cm
= 7206.4 cm³ (to one decimal place)
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The complete question is below:
A copper wire of diameter 8mm is evenly wrapped over a cylinder of length 24cm and diameter 49cm find the length of the wire and the volume of the wire
ABC is an isosceles triangle with BA = BC
D lies on AC
ABD is an isosceles triangle with AB = AD
Angle ABD = 72°
Show that triangle BCD is isosceles.
You must give a reason for each stage of your working.
PLEASE HELP.. WHAT IS THE REASON??????
A property of an isosceles triangle, which is the base angles of the are equal, can be used to show that ΔBCD us an isosceles triangle.
What is isosceles triangle?There are two equal edges and two equivalent angles in an isosceles triangle. The Greek words iso (identical) and Skelos are the source of the name (leg). Equilateral triangles are those in which all of the sides are equal, whereas scalene triangles are those in which none of the sides are equal.
The characteristics of an isosceles triangle are as follows:
The two sides are similar to one another.The base of such an isosceles triangle signifies the third edge of the triangle, and that is unequal to the other two sides.In accord with one another are the two angles that face equal sides.Let assume,
∠DAB = ∠A,
∠DCB = ∠C,
∠ABC = ∠B
The steps to show that ΔABD is an isosceles triangle are as follows;
∠ABD = 72° = ∠ADB :- Base angles of the isosceles triangle ΔABD
∠A + ∠ABD + ∠ADB = 180° (angle summation property)
∠A = 180° - (∠ABD + ∠ADB) = 180° - (72° + 72°) = 36°
∠A = ∠C :- Base angles of the isosceles triangle ΔBDC
∠ADB = ∠C + ∠DBC :- Exterior angle of a triangle theorem
72° = ∠C + ∠DBC
∠BDC = 72° + ∠A
∠DBC + ∠BDC + ∠C = 180° (angle summation property)
∠DBC = 180° - (∠BDC + ∠C) = 180° - (72° + 36° + 36°) = 36°
∠DBC = 36° = ∠C
In ΔBCD, ∠DBC = ∠C
ΔBCD is an isosceles triangle :- definition of an isosceles triangle
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Please help tia!!!!!!
Answer:
i believe the answer for #2 is F but i could be wrong
Answer:
F
Step-by-step explanation:
Solve {2x — y = 13; 3x + y = 12
Answer:
{x,y}={5,-3}
Step-by-step explanation:
3. The table below shows the temperature of an oven, in degrees Fahrenheit, t minutes
after it is turned on.
Oven Temperature
Time, t
(in minutes)
0
3
5
Temperature, F
(in °F)
70
160
220
10
370
An equation for a line of best fit for these data is F = 30t + 70. What is the slope of this
line, and what does it represent?
The slope of this line, and what it represent is: The slope is 30, and it represents the increase in temperature, in degrees Fahrenheit, each minute the oven is on.
How to identify and interpret the slope?Mathematically, the standard form of the equation of a line can be calculated by using this equation:
y = mx + c .......equation 1.
Where:
m represents the slope.x and y represent the variables.c represents the y-intercept.From the information provided, we have the following equation of line:
F = 30t + 70 ..........equation 2.
Comparing equation 1 and equation 2, we have:
Slope, m = 30, which is the increase in temperature of the oven in degrees Fahrenheit.
y-intercept, c = 70, which also represents the initial temperature of the oven in degrees Fahrenheit.
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Complete Question:
The table below shows the temperature of an oven, in degrees Fahrenheit, t minutes after it is turned on. An equation for a line of best fit for these data is F = 30t + 70. What is the slope of this line, and what does it represent?
answer choices
The slope is 30, and it represents the initial temperature, in degrees Fahrenheit, of the oven.
The slope is 70, and it represents the initial temperature, in degrees Fahrenheit, of the oven.
The slope is 30, and it represents the increase in temperature, in degrees Fahrenheit, each minute the oven is on.
The slope is 70, and it represents the increase in temperature, in degrees Fahrenheit, each minute the oven is on.
A)There are twice as many students in the math club as in the telescope club. Suppose there are $x$ students in the telescope club and $y$ students who are members of both clubs. Find an expression for the total number of students who are in the math club or the telescope club (or both). Give your answer in simplest form.
b)There are twice as many students in the math club as in the telescope club. Suppose there are students in the telescope club and students who are members of both clubs. Find an expression for the total number of students who are in the math club or the telescope club but not both. Give your answer in simplest form.
The number of students in the telescope club by $x$ and the number of students in the math club by $y$.
$y=2x$Now, suppose there are $z$ students who are members of both clubs. Then the total number of students who are in the math club or the telescope club (or both) is given by:$x + y - z$ Substituting $y=2x$ in the above expression, we get:$x + 2x - z=3x - z$ Hence, the expression for the total number of students who are in the math club or the telescope club (or both) is $3x - z$.b)The number of students who are in the math club but not in the telescope club is given by:$y-z$ And the number of students who are in the telescope club but not in the math club is given by:$x-z$ Adding these two expressions, we get the total number of students who are in the math club or the telescope club but not both:$ y-z+x-z $.
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Please look at number 10. from the slope and write the equation for me
Answer:
y = 8x + 38
Step-by-step explanation:
To find the slope we set up y = mx + b and plug m (our slope) in and then plug in the point into x and y to find b (our y-intercept)
y = mx + b
y = 8x + b
6 = 8(-4) + b
6 = -32 + b
+32 +32
38 = b
So using our slope and our intercept we have our slope intercept
y = mx + b
y = 8x + 38
Hope this helps :)
Answer:
y - y1 = m(x - x1)
y - 6 = 8(x - (-4))
y - 6 = 8(x + 4)
y - 6 = 8x + 32
y = 8x + 32 + 6
y = 8x + 38
Step-by-step explanation:
First you input the given values ( m = 8 and (-4, 6)) into the point-slope equation.
After that, you multiply the 8 by the two terms inside the parentheses, giving you 8x and 32.
Then you add 6 to both sides of the equation to isolate the y.
The slope-intercept equation ends up looking like this: y = 8x + 38
Hope this helps :)
Write an absolute value equation that has 3 and 11 as its solution
Answer:
|(x-3)(x-11)|=0
Solve the simultaneous equations
5x+2y=25
5x-y=10
5x + 2y = 25;
5x + 2y = 25;5x - y = 10;
5x + 2y = 25;
5x = 10 + y;
(10 + y) + 2y = 25;
5x = 10 + y;
10 + 3y = 25;
5x = 10 + y;
3y = 15;
5x = 10 + y;
y = 5;
5x = 10 + y;
y = 5;
5x = 10 + 5;
y = 5;
5x = 15;
y = 5;
x = 3.
Answer: (3; 5).
How do you find the domain?
The domain of a function is the set of numbers that can go into a given function.
The set of input values (x) for which a function generates an output value is known as the domain of the function (y).
we can write \(y = f(x).\)
domain is the full set of x-values that can be plugged into a function to produce a y-value.
The most effective approach to finding a domain will depend on the type of function.
The domain is expressed using an open bracket or parenthesis, the domain's two endpoints separated by a comma, and then a closed bracket or parenthesis.
To find domain of function we should know the property of that function like what the function can take inside it.
Like if we consider square root function \(\sqrt{x}\) so inside root negative numbers are not allowed so value of x should be positive means x>=0
So domain of square root function [0, ∞).
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suppose you obtain a chi-square statistic of 3.86. are your results statistically significant if the critical value obtained from the distribution of chi-square is 6.63 with an alpha level of .01?
The chi-square statistic of 3.86 is not statistically significant if the critical value obtained from the distribution of chi-square is 6.63 with an alpha level of .01.
To determine if the obtained chi-square statistic of 3.86 is statistically significant or not, we need to compare it to the critical value obtained from the distribution of chi-square, which is 6.63, at a significance level of 0.01.
In this case, the obtained chi-square value is less than the critical value, indicating that we fail to reject the null hypothesis. This means that the observed frequencies in the sample are not significantly different from the expected frequencies based on the null hypothesis. The alpha level of 0.01 indicates that we are willing to accept a 1% chance of making a Type I error, which is rejecting the null hypothesis when it is actually true. Since the obtained chi-square value is not greater than the critical value, we do not have sufficient evidence to reject the null hypothesis.
In summary, the results are not statistically significant at the 0.01 significance level, based on the obtained chi-square statistic of 3.86 and the critical value of 6.63. This means that there is no significant difference between the observed and expected frequencies, based on the null hypothesis.
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Unit 3 discussion Part 1
The trig function that should be used to solve for x in the image is: C. Tangent (Tan).
We can correctly set up our trig equation to solve for x in the image as: 1. Tan37 = x/12.
The value of x is equal to: C. 9.04.
The trig function that should be used to solve for x in the image is: C. Cosine (Cos).
We can correctly set up our trig equation to solve for x in the image as: 2. Cos50 = 8/x.
How to determine the value of x?From the image attached above, we can logically deduce that the triangle is a right-angled triangle with the following side lengths:
Opposite side = x.
Adjacent side = 12.
Therefore, we would determine the value of x by using Tan trigonometric function:
Tanθ = Opposite side/Adjacent side
Tan37 = x/12
x = 12Tan37
x = 9.04 units.
For the second image, we can logically deduce that the triangle is a right-angled triangle with the following side lengths:
Hypotenuse = x
Adjacent side = 8.
Therefore, we would determine the value of x by using Cos trigonometric function:
Cosθ = Adjacent side/Hypotenuse
Cos50 = 8/x
x = 8/Cos50
x = 12.45 units.
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NEEP HELP ASAP LAST DAY OF SCHOOL PLS SHOW YOUR WORK
A rectangular field is 80 meters wide and 120 meters long. Give the length and width of another rectangular field that has the same perimeter but a larger area.
Width= ----- Meters
Length= ------ Meters
The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.
To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:
1. Calculate the perimeter of the given rectangular field:
Perimeter = 2 * (Length + Width)
= 2 * (120 meters + 80 meters)
= 2 * 200 meters
= 400 meters
2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:
Side length = Perimeter / 2
= 400 meters / 2
= 200 meters
3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.
4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:
Width = Perimeter / 2 - Length
= 400 meters / 2 - 200 meters
= 200 meters - 200 meters
= 0 meters
5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.
In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.
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A 6 inch personal pizza has 590 calories, with 240 of those from fat. A 12 inch pizza is cut
into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza.
calories
Answer:
98 calories is the closest estimate
590 x 2 = 1180
1180 / 12 = 98.3
HELP PLEASE!!!!!!!!!!
Volunteers at Sam's school use same of the student council's savings for a special project. They buy 3 backpacks for $6 each and fill each backpack with paper and pens that cost $6. By how much did the students council's savings change because of this project?
A company has made a rubber ball for $0. 02 per square foot. The company wants to spend a maximum of $1 each on a new ball.What is the diameter of the new ball to the nearest tenth of a foot?A.4. 6 feetB.2. 9 feetC.5. 8 feetD.2. 3 feet
Solution:
Solution:
How to find the diameter of the ball?
Remember that for a sphere of diameter D, the surface area is:
\(\begin{gathered} A=4\pi(\frac{D}{2})^2 \\ r=\frac{D}{2} \end{gathered}\)In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:
\(\begin{gathered} 0.02\times A=1 \\ A=\frac{1}{0.02} \\ A=50 \end{gathered}\)By substituting the values of A=50 in the formula below, we will have
\(\begin{gathered} \begin{equation*} A=4\pi(\frac{D}{2})^2 \end{equation*} \\ 50=4\times\frac{22}{7}\times(\frac{D^2}{4}) \\ 50=\frac{22D^2}{7} \\ cross\text{ multiply} \\ 50\times7=22D^2 \\ 22D^2=350 \\ \frac{22D^2}{22}=\frac{350}{22} \\ D^2=\frac{350}{22} \\ D=\sqrt{\frac{350}{22}} \\ D=4.0feet \end{gathered}\)Hence,
Since the company wants to spend a maximum $1,
The diameter of the new rubber ball, to the nearest foot, must be D = 4.0 ft (in the case of the maximum cost).
Hence,
HELP PLS Determine the type of correlation represented in the scatter plot below
Answer:
this is a positive correlation
Step-by-step explanation:
it is going up so its positive
You run $2\frac{1}{2}$ miles as a part of an exercise routine. you run $\frac{1}{3}$ of that distance on a hill. you run down a slope for the last $\frac{1}{2}$ of the hill. on how many miles of your run do you run down the slope?
Given,
Total distance \(=2\frac{1}{2}\) miles
You run 1/3 of that distance on a hill.
Distance on a hill\(=\frac{1}{3} * 2\frac{1}{2}\) miles
You run down a slope for the last 1/2 of the hill=\(\frac{1}{3} * 2\frac{1}{2}*\frac{1}{2}\) miles\(=\frac{5}{12}\) miles
Distance you run down the slope \(=\frac{5}{12}\) miles
Five less than twice Garrett's age is one half of Mary's
age increased by 6. Which equation represents the
relationship between g, Garrett's age, and m, Mary's age?
Answer:
2g - 5 = 1/2(m) + 6
Step-by-step explanation:
Let Garrett's age be g and Mary's m. Hint: "is" in these type of word problems will typically be the equation's "=" sign.
2g - 5 = 1/2(m) + 6
I NEED THIS ROGHT NOE help me pls
Answer:
A is estimated to 110.11
Step-by-step explanation:
Area of a regular pentagon = pa/2
p= perimeter
a= the apothem
Calculate it from the side length: p= 5s
What is the fourth term of the expansion of the binomial (2x + 5)^5? Hence find the value of (2.02)5 correct 3D.P
Answer:
5000x^2 is the 4th term
Step-by-step explanation:
ok, 1 bionimial theorem coming right up
for a binomial expansion of (a+b)^n
the kth term is
means
n is 5
4th term
4-1=3
and a=2x
b=5
so
(10)(4x^2)(125)
5000x^2 is the 4th term