Answer:
1. Y = -3x
2. Y = -2
3. Y= x + 2
4. Y = 2/3x -1
I HAVE A FELLING
Parallel lines r and s are cut by two transversals, parallel lines t and u.
Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16.
Which angles are corresponding angles with angle 8?
Answer:
In the given diagram, line t is a transversal that intersects parallel lines r and s, and angle 8 is formed by the intersection of line t and parallel line s. Corresponding angles are formed when a transversal intersects two parallel lines, and they are located in corresponding (i.e., identical) positions relative to the two parallel lines.
Therefore, the corresponding angle to angle 8 would be angle 2, which is located in the same relative position as angle 8 with respect to parallel lines r and s, and transversal line t.
1.
The graph of the function y = x +x-6 drawn below.
y
-> X
A
A
B
С
(b)
(c)
Write down the coordinates of the point C.
Calculate the coordinates of the points A and B.
Calculate the coordinates of the minimum.
Answer: See below
Step-by-step explanation:
A. Point C is the y-intercept, the value of y when x = 0. We know x = 0 for this point, (0,?). To find y, wither find it on the graph (y = -6) or calculate it with the equation:
y = \(x^{2}\) +x-6
For x = 0, y becomes -6
Point C is (0,-6)
B. Y is zero at both points A and B. We want the values of x that will make the equation equal to zero. We can read them from a graph (where the line crosses the x axis), or factor the equation and set each factor to zero:
y = \(x^{2}\) +x-6
y = (x + 3)(x - 2)
For y to be zero, either (x + 3) or (x - 2) must equal zero. That would occur for bot x = -3 and x = 2.
The points A and B are therefore:
A (-3,0)
B (2,0)
We can find the minimum of this function by taking the first derivative and setting it equal to zero, the point at which the slope of the line is zero.
y = \(x^{2}\) +x-6
y' = 2x + 1
2x = -1
x = -(1/2)
At x = - 1/2, y becomes -6.25
The minimum is (-(1/2), - 6.25)
See the attachment.
For 1-3, consider an investment of $6000
that earns 4.5% interest. Use a graphing
calculator if needed.
1. Write an equation to describe the value
V(t) of the investment at time t if the
interest is compounded daily.
Answer:
See below
Step-by-step explanation:
Period = 1 day
Periodic interest = .045 / 365 (since there are 365 days in a year)
V(t) = 6000 * ( 1 + .045/365)^t where t is in days
V(t) = 6000 * (1+.045/365)^(t * 365) where t is in years
can someone help me with trinomial for algebra please?!???
HELP ASAP
The factorization of a trinomial is modeled with algebra tiles. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled negative. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 12 tiles are in the Product spot: 1 is labeled + x squared, 2 are labeled negative x, the 3 tiles below + x squared are labeled + x, and the 6 tiles below the negative x tiles are labeled negative. Which trinomial is factored?
x^2 + 3x – 6
x^2 + 5x – 6
x^2 + 3x – 2
x^2 + x – 6
Answer:
its A or the first one ;)
Step-by-step explanation:
Michael keeps dogs, cows, cats and kangaroos as pets.
pets in total and that 1/8 of them are dogs, 3/4 are NOT cows, 2/3 are NOT cats.
kangaroos does Michael keep?
The question above is incomplete.
Complete Question
Michael keeps dogs, cows, cats and kangaroos as pets. He has 24 pets in total and 1/8 of them are dogs, 3/4 are not cows and 2/3 are not cats. How many kangaroos does Michael keep?
Answer:
7 kangaroos
Step-by-step explanation:
Total number of pets = 24
Fraction representing total number of pets = 1
Step 1
Number of dogs =
Fraction representing dog = 1/8
1/8 × 24 = 3
He has 3 dogs
Step 2
Number of cows =
From the question, we are told that 3/4 are not cows
Therefore, the number of cows he has =
1 - 3/4 = 1/4
The fraction representing cows = 1/4
Hence the number of cows he has =
1/4 × 24 = 6 cows
Step 3
From the question, we are also told that
2/3 are not cats
The fraction representing the number of cats he has=
1 - 2/3 = 1/3
Therefore, the number of cats he has =
1/3 × 24 = 8 cats.
Step 4
How many kangaroos does Michael keep?
We are asked, how many kangaroos he keeps.
Total numbers of pets = Number of dogs + Number of cows + Number of cats + Number of kangaroos
24 = 3 + 6 + 8 + Number of kangaroos
Number of kangaroos = 24 -(3 + 6 + 8)
= 24 - 17
= 7
Therefore, the number of kangaroos that Michael has is 7 kangaroos
5. in the following figure, GE= r.
where ris the radius of the circle.
a) What is the nature of the triangle GEO? Justify your answer.
b) By calculating SEG in two different ways. using ares of the
Answer + Step-by-step explanation:
a) GE = r = GM
Then GEO is an isosceles triangle
b) since GEO is an isosceles triangle then :
m∠SEG = m∠GOM = measure of the arc GM (mGM) (result 1)
On the other hand :
m∠SEG = m∠SEG = (1/2)×(mAS - mGM) (it’s a formula) (result 2)
Now ,we equate (result 1) and (result 2) :
m∠SEG = mGM
m∠SEG = (1/2)×(mAS - mGM)
Then
mGM = (1/2)×(mAS - mGM)
c) mGM = (1/2)×(mAS - mGM)
⇔ 2mGM = mAS - mGM
⇔ 3mGM = mAS
⇔ 3m∠SEA = m∠SOA
Remember:
mGM = m∠GOM = m∠SEA
Hi I don't know how to do this
Using a system of equations, the weight of 5 apples, 2 oranges are 4 bananas is given as follows:
B. 1147 gm.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Weight of an apple.Variable y: Weight of an orange.Variable z: Weight of a banana.Considering the data given, the equations are:
3x + 5y = 928.4y + 6z = 1088.5x + 3z = 799.From the first equation:
3x = 928 - 5y.
x = 309.33 - 1.667y.
From the second equation:
6z = 1088 - 4y
z = 181.33 - 0.667y
Replacing in the third equation:
5x + 3z = 799
5(309.33 - 1.667y) + 3(181.33 - 0.667y) = 799
10.336y = 12961.64
y = 1291.64/10.336
y = 125 gm.
The other weights are:
x = 309.33 - 1.667y = 309.33 - 1.667 x 125 = 101 gm.z = 181.33 - 0.667y = 181.33 - 0.667 x 125 = 98gm.The weight of 5 apples, 2 oranges are 4 bananas is:
5x + 2y + 4z = 5 x 101 + 2 x 125 + 4 x 98 = 1147 gm, option B.
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The length and breadth of a rectangular field are in the ratio 8:3. If the perimeter of the field is 99 m
, find the length of the field.
Answer:
36 m
Step-by-step explanation:
Perimeter = 2L + 2w = 99
2(L + w) = 99
L = length = 8x
w = width = 3x
2(8x + 3x) = 99
16x + 6x = 99
22x = 99
x = 99/22 = 4.5
L = 8x = 8(4.5) = 36
can you explain to me the steps the answer please
An outliner is a number on the set that is much lower or higher than all the other numbers.
In this case, if we add 11 to the given set. Then:
- The mean is always affected by an outliner because the mean is the average of the data set, with an extra value it will always be affected.
To find the mean we use the formula:
\(x=\frac{x_1+x_2+x_{3\ldots\ldots.}x_n}{n}\)Where n is the total numbers in the data set.
- The set without the outliner has is odd. With an extra number, the set will be even. This could affect the median.
27,20,34,37,21,42,39
Organize from least to greatest:
20,21,27,34,37,39,42
The median represents the middle value in a data set.
To find the median is different when the set is even or odd.
The median is the middle number, in this case, the data set without the outliner is, 34.
20,21,27,34,37,39,42 ( The middle number)
Add the outliner, the mean will change:
11,20,21,27,34,37,39,42
The median is calculated using the average of both middle numbers: (27+34)/2 =29
Hence, the median is also affected.
Finally, the mode is the value that appears most frequently in a data set. In this case, there is no mode defined. Then, the outliner doesn't affect the mode.
In conclusion, the outliner will affect the mean and the median.
Hence, the correct answer is the third option.
Mason and Atlanta are on approximately the same line of longitude (meridian). If the difference between their latitudes is 5.7°, and the Earth has a radius of 3960 miles, how far is Mason from Atlanta?
Round your answer to the nearest mile.
DO NOT ROUND ANY INTERMEDIATE CALCULATIONS!
d =______ miles
On ascertain day, $1 is worth 30.23 Russian rubles. Omar has $75. How many rubles will he get in exchange?
Answer:
Omar would get 2267.25 Russian rubles
Step-by-step explanation:
it's simple:
if one dollar equals 30.23 Russian rubles than you would do 75x30.23 and get the answer 2267.25 Russian rubles
hope that helps ;)
have a wonderful day!
Carol buys 1. 5kg of apples at £2. 00 per kilagram
The amount that carol should receive in change is $5.64
To calculate the total cost of Carol's purchase, we need to multiply the amount and price of each item and then add the results:
Cost of apples = 1.5 kg × $2.00/kg = $3.00
Cost of bananas = 2 kg $0.68/kg = $1.36
Total cost = $3.00 + $1.36 = $4.36
Since Carol pays with a $10 note, we can calculate the amount of change she should receive by subtracting the total cost from the amount she paid:
Change = $10.00 - $4.36 = $5.64
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The given question is incomplete, the complete question is:
Carol buys: 1.5 kg of apples at $2.00 per kilogram 2 kg of bananas at $0.68 per kilogram She pays with a $10 note. How much change should she receive?
The radius of a cylinder is 4 inches and the height is 5 inches. Which statements are correct? Check all that apply.The area of the two bases is 16π in2.The area of the two bases is 32π in2.The lateral area is 40π in2.The lateral area is 72π in2.The total surface area is 72π in2.The Correct Answer is: 2,3,5
The radius of a cylinder is 4 inches and the height is 5 inches. The surface area is equal to the sum of the areas of all the faces of a solid.
A cylinder has two circular bases, and each circular base has an area of πr² square units, where r is the radius of the base. The lateral area of a cylinder is the area of the cylinder's curved surface, which is the height of the cylinder multiplied by the cylinder's base perimeter. It is given by the formula: 2πrh. The surface area of the cylinder is obtained by summing the lateral area and two times the area of the base. Hence, we have:
Surface area = 2πrh + 2πr²
Let us calculate the area of the two bases by plugging the given values into the formula.
Area of one base = πr²= π (4)²= 16π square inches
Therefore, the area of the two bases is 2 × 16π = 32π square inches. Thus, statement 2 is correct
Lateral area of a cylinderLateral area = 2πrh= 2 × π × 4 × 5= 40π square inches.
Thus, statement 3 is correct.
The total surface area of the cylinderTotal surface area = Lateral area + 2 × Area of base= 2πrh + 2 × πr²= 2πr(h + r)= 2π × 4(5 + 4)= 72π square inches.
Therefore, statement 5 is correct.
Therefore, the following statements are correct:Statement 2: The area of the two bases is 32π square inches.Statement 3: The lateral area is 40π square inches.Statement 5: The total surface area is 72π square inches are true.Therefore, the correct statements are 2, 3, and 5.
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someone please help!!
Answer: 1.distributive property, 2.subtraction property of equality, 3. i dont know 4. division property of equality and 5. i dont know
Step-by-step explanation:
6th grade math please help!
The sum of three numbers in order is 57. The equation that represents this is x + (x + 1) + (x + 2) = 57. Which value of x from the set {16, 17, 18, 19} makes the equation true?
a.16
b.17
c.18
d.19
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 .
Answer:
a. The maximum revenue Luci can make selling cookies in one day is $2,000.
b. The price she should sell the cookies for her to make the maximum revenue is $1.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000. Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies for to make the maximum revenue.
The explanation of the answer is now provided as follows:
Given;
x = −2000p + 4000 …………………………. (1)
The revenue function is obtained as follows:
R = px ……………………….. (2)
Substitute equation (1) into (2), we have:
R = p(−2000p + 4000)
R = −2000p^2 + 4000p ……………… (3)
Obtain the derivative of equation (3), set to zero and solve for p, we have:
−4000p + 4000 = 0
4000 = 4000p
p = 4000 / 4000
p = 1
From the above, p = 1 implies that the price that ensure maximum revenue is $1.
We can now answer as follows:
a. Find the maximum revenue Luci can make selling cookies in one day.
Since p = 1 implies that the price that ensure maximum revenue is $1, we then substitute p = 1 into equation (3) as follows:
R = (−2000 * 1^2) + (4000 * 1)
R = (−2000 * 1) + (4000 * 1)
R = −2000 + 4000
R = 2000
Therefore, the maximum revenue Luci can make selling cookies in one day is $2,000.
b. Find the price she should sell the cookies for to make the maximum revenue.
Since p = 1 implies that the price that ensure maximum revenue is $1 as obtained above, it therefore implies that the price she should sell the cookies for her to make the maximum revenue is $1.
what is 6pints equal to in cups ?
Answer: 12 cups
Step-by-step explanation:
Answer:
12 cups
Step-by-step explanation:
1 pint = 2 cups
6 pints = 6 × 2 cups = 12 cups
Consider a parallelogram in which one side is 3 inches long, another side measures 4 inches, and the measurement of one angle is 45. How many parallelograms can you construct given these conditions? What are the lengths of the sides and the measurements of the angles for the parallelograms
Infinite parallelograms can be constructed given the given conditions. The other two angles of the parallelogram must also be 135 degrees each. Given that a parallelogram in which one side is 3 inches long, another side measures 4 inches, and the measurement of one angle is 45 degrees. We need to find out how many parallelograms we can construct given these conditions.
Also, we need to find out the lengths of the sides and the measurements of the angles for the parallelograms. We know that for a parallelogram, opposite sides are parallel and opposite angles are congruent. From the given conditions, we know the length of two sides of the parallelogram and one angle, but we don't know the length of the other two sides and the other angle.
This is because there is not enough information to determine the exact lengths of the other sides and the other angle. We can construct infinitely many parallelograms by varying the length of the other sides and the other angle. Given the size of two sides of a parallelogram and one angle, many different parallelograms can be constructed.
This is because there is insufficient information to determine the lengths of the other two sides and the different angle. We can construct infinitely many parallelograms by varying the size of the sides and the other angle. However, there are some limitations.
For example, the sum of the angles of a parallelogram is always 360 degrees. Therefore, if we know one angle of the parallelogram, we can find the other angle by subtracting it from 180 degrees. In this case, we know that one angle is 45 degrees, so the different angle is
= 180 - 45
= 135 degrees.
This means that the other two angles of the parallelogram must also be 135 degrees each. We can construct infinitely many parallelograms with sides of 3 and 4 inches and one angle of 45 degrees. However, the other two sides and the other angle can vary, so there is no unique solution.
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help asap! i realy need help! i will give Who deserves the Brainliest award?!
The absolute value function that matches the graph is given as follows:
y = |x|
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
The vertex of the function in this problem is at the origin, hence:
(h,k) = (0,0).
The leading coefficient is of a = 1, as when x = 1, y = 1.
Hence the absolute value function that matches the graph is given as follows:
y = |x|
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A zoo has 60 penguins total if the emperor penguins make up 35% of all the penguins at the zoo how many emperor penguins are at the zoo?
Answer:
21 emperor penguins
Step-by-step explanation:
1. Convert 35% to decimal form
0.35
2. Multiply 0.35 by 60
21
3. The answer is 21
Using the graph, determine the coordinates of the y-intercept of the parabola.
Answer:
(0, -5)
Step-by-step explanation:
the y-intercept of the parabola is when x = 0 (crossing the y axis)
Select the correct answer from each drop-down menu. Zahid started the construction of an equilateral triangle inscribed in a circle. Which segments need to be drawn to create the triangle
To construct an equilateral triangle inscribed in a circle, Zahid would need to draw three specific segments.
First, Zahid would need to draw the radius of the circle, which is a line segment connecting the center of the circle to any point on its circumference. This segment serves as the base of the equilateral triangle.
Next, Zahid would draw two more line segments from the endpoints of the base (radius) to another point on the circumference of the circle. These segments should be of equal length and form angles of 60 degrees with the base. These segments complete the equilateral triangle by connecting the remaining two vertices. Zahid needs to draw the radius of the circle (base of the equilateral triangle) and two additional line segments connecting the endpoints of the radius to other points on the circle's circumference. These line segments should be equal in length and form angles of 60 degrees with the base.
It is important to note that an equilateral triangle is a special case where all sides are equal in length and all angles are 60 degrees. In the context of a circle, an equilateral triangle is inscribed when all three vertices lie on the circumference of the circle.
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x + 2y = 2 and 6x – 3y = 21 parallel, perpendicular, or neither
Answer:
perpendicular
Step-by-step explanation:
both lines meet at a 90 degree angle
What percent of 80 is 48? Round your answer to the nearest hundredth if necessary.
Answer:
60%
Step-by-step explanation:
Let F=32x3+yi+2(cosz+3y3)j+32z3k be the vector field. Use the Divergence Theorem to find the flux across S, where S is the surface of the solid bounded by the hemisphere z=−4−x2−y2 and the plane z=0.
The flux of F across S is equal to 2304/5π.
Given vector field is F= 32x3 + yi + 2 (cosz + 3y3) j + 32z3k.
The surface S is the one which is bounded by the hemisphere z = - 4 - x2 - y2
and the plane z = 0.
This is a closed surface enclosing a region R which is the upper part of the solid sphere x2 + y2 + z2 = 16.
The divergence theorem states that the flux of the vector field across a closed surface is equal to the triple integral of the divergence of the vector field over the region it encloses. Hence, the flux can be calculated as follows:
S F . n d S = R (del. F) d V where n is the outward pointing unit normal vector on the surface S.
The divergence of F is given by del.
F = 96x2 + 3 + 2 (-sinz) + 96z2
Therefore, R (del . F) d
V = ∫0π/2∫0π/2∫04- r
2sinΦ (96r2cos2Θ + 96r
2sin2Φ + 3) + 2(-sin(4 + r2)) drdΘdΦ
where R is the region enclosed by the surface S.
So, we have the following equation after integrating it: R (del . F) dV = 2304/5π.
The flux of F across S is equal to 2304/5π.
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What is the radius of the cone? 2 units 3 units 6 units 9 units
Answer:
where is the diameter?
Step-by-step explanation:
Answer:
Step-by-step explanation:
need help on this one
Answer:
\(g(x)=\frac{1}{8} x^{3} -\frac{3}{2} x^{2} +6x-5\)
Step-by-step explanation:
\(x=2\sqrt[3]{y-3} +4\)
switch the x and y, then use order of opperations
Solve for g in the proportion
g 15
4 6
Answer:
g times 15 if it's a algebraic question
g=6
Refer to the explanation for the process.
Explanation:
Solve:
9 g=15 10
Cross multiply each denominator by the opposite numerator.
9×10=15×g
Simplify.
90=15g
Divide both sides by 15
90 15=g
Simplify.
6=g
Switch sides.
g=6
Hope this helps!
Use the general slicing method to find the volume of the following solid The solid with a semicircular base of radius 15 whose cross sections perpendicular to the base and parallel to the diameter are squares The volume of the solid is _____ cubic units
The volume of the solid with the semicircular base is equal to 2250π units³
What do you mean by integral value ?In general term integral value means the value obtained after integrating or adding the terms of a function which is divided into an infinite number of terms .
Given here: A solid with a semi circular base with radius = 15 units
We know the the equation of the circle with its center at the origin is given by
x²+y²=15²
\(y=\sqrt{15^2-x^2}\)
Thus constructing the integral we get
\(\int\limits^{15}_{-15} \ \pi .\frac{1}{2}.( {15^2-x^2}} )\, dx\)
=-πx.(x²-675) /6 +C |¹⁵₋ ₁₅
=2250π
Hence, The volume of the solid with the semicircular base is equal to 2250π units³
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