HELP ME PLEASEEEEEEEEEE
The rules for transformation of first graph is (x + 4, y + 6).
The rules for transformation of second graph is (x + 4, y + 6).
What is Transformation?Transform the forms on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century. In geometry, object transformations are the foundation for the majority of proofs.
In first graph it is clear that the graph is translated and the rule for first graph is (x + 4, y + 6).
Similarly, the second graph is also translated and the rule is (x+3, y).
Therefore, the rule for first graph is (x + 4, y + 6) and the rule for second graph is (x + 4, y + 6).
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How many kg of an alloy with 90% copper must be added to 6 kg of another alloy with 15% copper to obtain an alloy that is 40% copper?
3 kg of an alloy with 90% copper must be added to 6 kg of another alloy with 15% copper to obtain an alloy that is 40% copper.
Given, we are asked to determine:
How many kg of an alloy with 90% copper must be added to 6 kg of another alloy with 15% copper to obtain an alloy that is 40% copper = ?
convert kg to ounces.
6kg = 211.644 ounces.
90%x+15%(211.644)=40%(211.64+x)
0.9x+0.15(211.64)=0.4(211.64+x)
0.9x+31.7466 = 84.6576 + 0.4x
0.9x - 0.4x = 84.6576 - 31.7466
0.5x = 52.911
x = 52.911/0.5
x = 105.822
now convert ounces to kg.
= 3kg
Hence approximately 3 kg of an alloy with 90% copper must be added to 6 kg of another alloy with 15% copper to obtain an alloy that is 40% copper.
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A 70-meter path surrounds a rectangular garden. The width of the garden is two-thirds its length. Find its area (in m2).
The area of the rectangular garden that has a 70-meter path surrounding it is: 1,176 m².
What is the Area of a Rectangle?Area = length × width
Perimeter of a rectangle = length surrounding a rectangular shape = 2(length + width).
Give the following:
Perimeter of the rectangular garden = 70 meter
Length = l
Width = 2/3l
Therefore:
l + 2/3l = 70
5/3l = 70
5l = 3(70)
5l = 210
5l/5 = 210/5
l = 42
Length = l = 42
Width = 2/3l = 2/3(42) = 28
Area of rectangular garden = 42 × 28 = 1,176 m².
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Find the circumference of each of the following circles. Use 3.14 for TT
17 km
32 in
39 m
25 mi
Answer:
a=34π
b=64π
c=39π
d=25π
Step-by-step explanation:
Select the equation that is true. 12 ÷ 2 = 15 ÷ 5 12 ÷ 3 = 24 ÷ 6 32 ÷ 8 = 21 ÷ 7 30 ÷ 5 = 28 ÷ 4
Answer:
12 ÷ 3 = 24 ÷ 6
Step-by-step explanation:
12/3 = 4 and 24/6 = 4
So 4 = 4
Given the coordinates, classify ∆QRT by its sides. Q(-2, -1), R(1, 5), T(-8, -4) Classify:
The given triangle ∆QRT is isosceles triangle.
What is isosceles triangle?
Triangles with two equal sides are referred to as isosceles triangles. Also equal are the two angles that face the two equal sides. To put it another way, "An isosceles triangle is a triangle with two congruent sides." Assume that the sides AB and AC of the triangle ABC are equal, in which case the triangle ABC is an isosceles triangle with B = C. According to the theorem, "if the two sides of a triangle are congruent, then the angle opposite to them is also congruent."
Here the given points are Q(-2,-1) , R(1,5) , T(-8,-4).
Using distance formula
Now , The Distance between the points can be measure as :
D=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
QR = [tex]\sqrt{(1+2)^2+(5+1)^2}[/tex]
=>QR=[tex]\sqrt{3^2+6^2} = \sqrt{9+36} =\sqrt{45}=3\sqrt{5[/tex] unit
Now RT = [tex]\sqrt{(-8-1)^2+(-4-5)^2} =\sqrt{9^2+9^2} \\[/tex]
=>RT=[tex]\sqrt{81+81}=\sqrt{162} = 9\sqrt{2}[/tex] unit
Now TQ = [tex]\sqrt{(-2+8)^2+(-1+4)^2} =\sqrt{6^2+3^2} \\[/tex]
=>TQ=[tex]\sqrt{36+9}=\sqrt{45}=3\sqrt{5}[/tex] unit.
Here QR=TQ then
Hence the given triangle is isosceles triangle.
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What is the length of the garden?
The length of the garden is 63ft, in the rectangle
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral,
Quadrilaterals are typically four-sided closed shapes, and there are numerous varieties of them. Square, rectangle, rhombus, kite, and trapezoid are the most typical shapes. Four closed sides make up a quadrilateral. Quadrilaterals are the following figures: a four-sided figure. The form features a single set of parallel sides and no right angles.
The given perimeter is 210ft
let l be the length and 2/3 of l is the breadth.
We know that 2(a+b) = 210
2(l + 2/3l) = 210
5/3 l = 105
l = 105* 3/5 = 63ft
Hence the length of the garden is 63ft.
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murray mixes 2 quarts of liquid A and 8 pints of liquid B to make a compound. How many gallons of compound are produced?
Answer:
1 1/2 gallons
Step-by-step explanation:
there are two pints in one quart so 2 quarts plus 8 pints equals
2 quarts plus 4 quarts, or 6 quarts
there are 4 quarts in one gallon so 6 quarts is the same as 1 gallon and 2 quarts
2 quarts is half of one gallon
A groundskeeper needs grass seed to cover a circular
field, 290 feet in diameter.
A store sells 50-pound bags of grass seed. One pound
of grass seed covers about 400 square feet of field.
What is the smallest number of bags the
groundskeeper must buy to cover the circular field?
Explain or show your reasoning.
Hint: You can only buy WHOLE bags of grass seed so
you MUST round up!
The smallest number of bags the groundskeeper must buy to cover the circular field is 4.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
The longest line which can be drawn inside the circle will be the diameter.
The perimeter of the circle = 2πr where r is the radius of the circle.
As per the given,
Diameter of the circular field = 290 feet
Radius = 290/2 = 145
Area of circle = πr² = π(145)²
⇒ 66051.985 feet²
In one bag = 50 pounds
Area cover in one bag = 50 × 400 = 20000
Number of bags needed to cover the whole area
⇒ 66051.985/20000 = 3.3025
Since the number of bags is a whole quantity thus it will round up to 4.
Hence "The smallest number of bags the groundskeeper must buy to cover the circular field is 4".
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If Nancy is two years older than Mark and the sum of their ages is 28, Mark will be 13 years old.
False
True
Answer:
I think its false
Step-by-step explanation:
Answer: True i think
Step-by-step explanation: If Nancy is two years older than Mark who is 13, then Nancy would be 15, 15 + 13 equals 28.
Mina a wrote messages to her friends on a sidewalk she used 1/3 of piece of truck that was originally 2 5/6 inches long how many inches of child did she use?
Mina uses 17/18 inches of chalk.
What is algebra?
The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions. In algebra, we utilize integers with fixed or definite values, such as 2, 7, 0.068, etc. In algebra, we combine integers with variables like x, y, and z.
Here, we have
she used 1/3 of a piece of chalk that was originally 2 5/6 inches long.
Now, we have to find how many inches of chalk did she use?
= 1/3 × 2 5/6
= 1/3 × 17/6
= 17/18 inches.
Hence, Mina uses 17/18 inches of chalk.
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Answer:
17/18
Step-by-step explanation:
Calculate the distance between the points M=(-4, 9) and L= (-1, 1) in the coordinate plane.
Give an exact answer (not a decimal approximation).
The distance between the points M=(-4, 9 ) and L=(-1. 1) in the coordinate plane is [tex]\sqrt{73}[/tex].
Explain Coordinate Plane.
In a plane, a Cartesian coordinate system is a system of a coordinate that designates each point uniquely by a pair of numerical coordinate in a plane, which are the signed distances from two fixed perpendicular oriented lines to the point on the same plane, measured in the same unit of length.
Solution Explained:
Using the distance formula, we have
[tex]\sqrt{(x_{2} - x_{1}) ^{2} + (y_{2} - y_{1}) ^{2} }[/tex]
Substituting the values using the values of the points
[tex]\sqrt{(-1 + 4) ^{2} + (1 - 9) ^{2} }[/tex]
[tex]\sqrt{(3) ^{2} + (-8) ^{2} }[/tex]
[tex]\sqrt{9 + 64}[/tex]
[tex]\sqrt{73}[/tex]
Hence, the distance between the two points is [tex]\sqrt{73}[/tex]
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Find the LCM of 45 and 270 using prime factorizations
Example:
120 and 45
10 and 12 can go into 120. 10 can go into 5 and 2, while 12 can go into 3 and 4. 4 can be still divisible, so it would be 2 and 2.
45 is 9x5. 9 can be divisible, so you would turn them into 3 and 3.
The LCM will be the product of the largest multiple of each prime that appears on at least one list. For example, we have a 2, 3, and 5, so I’ll choose the largest multiples of each and find their product. There are three 2's, three 3's, and 5, or 8 x 9 x 5. That would get you 360.
See how you could get that with your problem?
P.S. I don't answer questions directly, instead, I use examples. Feel free to use other suggestions if this one doesn't appeal to you.
Prove that A-(B-C)=(A-B)uu(A nn C) by using Properties.
Proof:
L.H.S. = A - (B - C)
= A - (B ∩ C'), since A - B = A ∩ B'
= A ∩ (B ∩ C')'
= A ∩ {B' U (C')'}, since (A ∩ B)' = A' U B'
= A ∩ (B' U C)
= (A ∩ B') U (A ∩ C)
= (A - B) U (A ∩ C) = R.H.S.
∴ A - (B - C) = (A - B) U (A ∩ C)
Hence, This completely the proof.
Some properties of set algebra:
1. A U Φ = A, A ∩ Φ = Φ
2. A U U = U, A ∩ U = A
3. A U A = A, A ∩ A = A
4. A U (B U C) = (A U B) U C
5. A ∩ (B ∩ C) = (A ∩ B) ∩ C
6. A U (B ∩ C) = (A U B) ∩ (A U C)
7. A ∩ (B U C) = (A ∩ B) U (A ∩ C)
8. A U A' = U
9. A ∩ A' = Φ
10. (A U B)' = A' ∩ B'
11. (A ∩ B)' = A' U B'
12. A - B = A ∩ B'
13. A - (B ∩ C) = (A - B) U (A - C)
14. A - (B U C) = (A - B) ∩ (A - C)
15. A Δ B = (A - B) U (B - A)
16. A Δ B = B Δ A
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please help ill mark brainlyest
Step-by-step explanation:
1 have to make number cross the top number n sce
You apply the rule for a pair of parallel angles cut by a line. So that means that 59 degrees equals 2x-15.
59=2x-15
59+15 = 2x
74=2x
x= 37
Horold stores 10,656 pounds of grain for his 24 cattle. Each cow eats about 12 pounds of grain each day. How many days would the food supply last?
The total number of days for which the food supply will last is 37 days.
Given,
The number of days that the food supply would last is = ?
The number of pounds of grain = 10656 pounds
The number of cattle is = 24 cattle
The number of pounds eaten by each cow each day = 12 pounds.
Therefore if one cow eat 12 pounds a day then 24 cows=
12 × 24 = 288 pounds a day
Therefore if,
288 pounds = 1 day
10656 pounds = 10656/288
= 37 days
Therefore, the number of days that the food supply would last is 37 days.
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(1 po
3. Your cell phone plan is $35.98/month plus a utilities tax of 6.5% APR. During the year, you go
40 minutes over your plan at a rate of $0.35/minute. How much do you pay for the overages?
The amount that the cell phone owner will pay for the overages is $14.91.
What is the overage?The overage is the difference between the actual usage in minutes and the estimated usage.
For instance, if the plan estimates that the phone usage per year would be 4,000 minutes, but the plan holder uses 4,010 minutes, the extra 10 minutes are regarded as overages.
The opposite of overages is underages. If underages are part of the phone plan, the plan holder will be refunded accordingly.
Usually, overages attract a variable plan rate per minute.
Fixed charge per month = $35.98
Utilities tax APR = 6.5%
Overages = 40 minutes
Rate per overage minute = $0.35
The total charge for overage = $14 ($0.35 x 40)
Interest on the overages = $0.91 ($14 x 6.5%)
Total payment for the overages = $14.91 ($14 + $0.91)
Thus, for going over the plan by 40 minutes at $0.35 plus an APR of 6.5%, you will pay $14.91 for the overages.
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77, 49, 36, 18, _
what is the next number?
what is the rule?
Answer:9
Step-by-step explanation:um
a big storage tank contains 1680 gallons of gasoline. 25 cars filled their tanks with 24 gallons of gas each. 35 trucks put 30 gallons of gas in each of their tanks. how many gallons of gas are left in the big storage tank?
Answer:
30 gallons of gas is left
Step-by-step explanation:
1680 is what we start with
25 filled with 24
25*24=600
35 filled with 30
35*30= 1050
So we take away what we used
600+1050= 1650
We started with 1680
1650 got taken away so
1680-1650= 30
30 gallons are left
Answer:
30 gallons of gas are left in the big storage tank---------------------------------
Initial volume of gas in the storage tank is 1680 gallons.
Cars took:
25 × 24 = 600 gallonsTrucks took:
35 × 30 = 1050 gallonsGas left in the storage tank:
1680 - (600 + 1050) = 1680 - 1650 = 30 gallonsFor the vertical motion model h(t)=-16t^2+54t+3, identify the maximum height reached by an object and the amount of time the object is in the air before it hits the ground. Round to nearest tenth
The values of the vertical motion modelled by the quadratic function, h(t) = -16·t² + 54·t + 3 of the object are;
The maximum height reached is approximately 48.6 units
The time of flight is approximately 3.4 seconds
What is a quadratic function?A quadratic function is a polynomial of the form y = a·x² + b·x + c, where the value of a is larger than or lesser than 0
First part;
The function, for the vertical motion, h(t) = -16·t² + 54·t + 3, is a quadratic function;
The maximum height is found by using the equation that gives the value of x at the maximum value, which is presented as follows;
At the maximum point, [tex]x = \dfrac{-b}{2\cdot a}[/tex]
From the equation, a = -16, b = 54, c = 3, and x = t, which gives;
[tex]t = \dfrac{-54}{2\times (-16)} = 1.6875[/tex]
The maximum height is therefore;
h(1.6875) = -16 × 1.6875² + 54 × 1.6875 + 3 = 48.6
The time the object is in the air is found using the equation;
h(t) = 0 = -16·t² + 54·t + 3
Using the quadratic formula, [tex]x= \dfrac{-b\pm \sqrt{b^2 - 4\cdot a \cdot c} }{2 \cdot a}[/tex], we have;
[tex]t= \dfrac{-54\pm \sqrt{54^2 - 4\times (-16)\times 3} }{2 \times (-16)}=\dfrac{27\pm \sqrt{777} }{16}[/tex]
The time of flight is therefore;
[tex]t=\dfrac{27+ \sqrt{777} }{16}\approx 3.4[/tex]
The time of flight is 3.4 seconds
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please help it’s urgent
I cant see the full sentence but yes it is because Q and P and both on the M line which is both 20
Please help me!! can't figure it out for some reason
A census was conducted at a school. All of the students were asked how many cars their family owns. The results are below.
3. What is the probability that a randomly chosen student has at least 3 cars? Answer
4. What is the expected number of cars? Answer
5. What is the standard deviation? Answer
Answer: how did u get a pfp
Step-by-step explanation:
Answer these math questions(put solution) (if you want to answer word problem look in the comments)
1. ( 1.8 + 3.44 ) x 0.75
2. (8.29 - 0.32) ÷ 0.4
3. 7.58 (1.5 x 0.24) ÷ 0.5
4. (16.45-5.05) x (2.46 + 1.24)
5. (7.1 x 2.3) ÷ (1.25 x 0.6)
6. (4.19 + 6.8) ÷ (0.34-0.15)
Solution to the questions are: (1) 3.95
(2)19.92
(3) 5.45
(4) 42.18
(5) 21.77
(6) 57.84
What is Simplify?
Simplify in mathematics is a simple way of bringing down a problem, fraction or word expression into an easier from
1. ( 1.8 + 3.44 ) x 0.75
Simplify the equation using
=(5.24) x 0.75
=3.95
2. (8.29 - 0.32) ÷ 0.4
Rewrite the equation and simplify
=[tex]\frac{8.29 -0.32}{0.4}[/tex]
=[tex]\frac{7.97}{0.4}[/tex]
=19.92
3. 7.58 (1.5 x 0.24) ÷ 0.5
Rewrite the equation and simplify
=[tex]\frac{7.58(1.5 * 0.24) }{0.5}[/tex]
= [tex]\frac{7.58 (0.36)}{0.5}[/tex]
= [tex]\frac{2.728}{0.5}[/tex]
= 5.45
4. (16.45-5.05) x (2.46 + 1.24)
Simplify the equation
=(11.4)x (3.7)
=42.18
5. (7.1 x 2.3) ÷ (1.25 x 0.6)
Rewrite the equation and simplify
= [tex]\frac{7.1 * 2.3}{1.25 * 0.6}[/tex]
= [tex]\frac{16.33}{0.75}[/tex]
= 21.77
6. (4.19 + 6.8) ÷ (0.34-0.15)
Rewrite the equation and simplify
= [tex]\frac{4.19 + 6.8 }{0.34 - 0.15}[/tex]
= [tex]\frac{10.99}{0.19}[/tex]
= 57.84
Therefore, the solution to the equations are ;(1) 3.95
(2)19.92
(3) 5.45
(4) 42.18
(5) 21.77
(6) 57.84
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Shanice's car is traveling 10 miles per hour slower than twice the speed of Brandon's car. She covers 93 miles in 1 hour 30 minutes. How fast is Brandon driving?
The speed of a body is the distance it travels per unit of time. That means that we can also find out how far an
object moves in a certain amount of time if we know its speed: we use the equation "distance = speed time."
Here, we don't know either Brandon's speed or Shanice's, but since the question asks for Brandon's speed, that's what we'll use as our variable x.
The distance Shanice covers in miles is 93, and the time in hours is 1.5. Her speed is 10 less than twice Brandon's speed.
Shanice's speed is:
x - 10 miles per hour.
Substituting into the equation distance = speed × time gives us
93 = ( x - 10)1.5
First we distribute, to get
93 = 3x -
Then we add 15 to both sides to get
108 = 3x.
Finally we divide by 3 to get
= x.
Brandon is driving at miles per hour.
Check: We can check this answer by considering the situation another way: we can solve for Shanice's speed instead of Brandon's and then check that against Brandon's speed.
The equation for Shanice's speed is simply 2x - 10 = 2(
-10
72 - 10 = 62
So, Shanice is traveling at
miles per hour.
The problem tells us that Shanice is traveling 10 mph slower than twice Brandon's speed;
that would mean that 62 is equal to 2 times 36 minus 10. Is that true? Well, 2 times 36 is 72, minus 10 is 62.
Answer:
Step-by-step explanation: use your brain please you will get it ahhh
Mai picked a mystery number that is less than 30. she says she can show 3 different rectangles on this grid whose area is the same as her mystery number
what could be Mai's mystery number?
Answer:The answer is 4
Step-by-step explanation:BEcause of the mail´s mystery number
A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6 days after inoculation?
y = 1,000(1.15)6; 2,313 bacteria
y = 1,000(1.15)7; 2,660 bacteria
y = 1,000(1.5)5; 7,594 bacteria
y = 1,000(1.5)6; 11,391 bacteria
"The population of the culture 6 days after inoculation is 1,000(1.15)^6 ; 2313 bacteria"
Initial inoculated bacteria = 1000
Growing rate of bacteria = 15%
we have to find the population of the culture after 6 days
y = 1000 ( 1 + 15/100)^6
y= 1000 (1.15)^6
y = 1000(2.313060)
y = 2313.06 ≈ 2313
The population of the culture 6 days after inoculation is 2313.
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A farmer with 350 meters of fencing wants to enclose a rectangular plot that borders on a river. If the farmer does not fence the side along the river, what is the largest area that can be enclosed? What are the dimensions of the enclosed area?
The width, labeled x in the figure, is ?
(Type an integer or decimal rounded to the nearest tenth as needed.)
The length, labeled 350-2 x in the figure, is?
(Type an integer or decimal rounded to the nearest tenth as needed.)
The largest area that can be enclosed is ?
(Type an integer or decimal rounded to the n
meters.
square meters.
cubic meters.
The solution to the questions are:
The width, labelled x in the figure is 87.5 metersThe length, labelled 350-2 x in the figure, is 175 metersThe largest area that can be enclosed is 15312.5 square metersHow to determine the width and the length of the rectangle?From the question, we have the following parameters that can be used in our computation:
Length = 350 - 2x
Width = x
The area of a rectangle is the product of its dimensions
So, we have
Area = Length x Width
Substitute the known values in the above equation, so, we have the following representation
A = (350 - 2x) * x
Evaluate
A = 350x - 2x²
Differentiate and set to 0
350 - 4x = 0
So, we have
4x = 350
Divide by 4
x = 87.5
Recall that
Length = 350 - 2x
So, we have
Length = 350 - 2 x 87.5
Evaluate
Length = 175
The area is then calculated as
Area = Length x Width
So, we have
Area = 175 x 87.5
Evaluate
Area = 15312.5 square meters
Hence, the area is 15312.5 square meters
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find the perimeter of each figure formed by using six squares tiles. By what percentage is the maximum perimeter more than the minimum one
Answer: no.
Step-by-step explanation: no.
5. On Friday night, Samantha ate a pizza for dinner and had 1/2 of the pizza left over. On Saturday, she ate 2/3 of what was left. How much of the pizza did
Samantha eat on Saturday?
Answer:
∴ Samantha ate [tex]\frac{1}{3}[/tex] of the pizza on Saturday.
Step-by-step explanation:
Fraction of pizza left on Friday = [tex]1-\frac{1}{2}[/tex]
= [tex]\frac{1}{2}[/tex]
∴ Fraction of pizza eaten on Saturday = [tex]\frac{2}{3}[/tex] × [tex]\frac{1}{2}[/tex]
= [tex]\frac{1}{3}[/tex]
a) Write down the conditions under which the binomial
distribution may be a suitable model to use in statistical work.
b) A six-sided die is biased. When the die is thrown the number 5 is
twice as likely to appear as any other number. All the other faces are
equally likely to appear. The die is thrown repeatedly.
Find the probability that
(i) the first 5 will occur on the sixth throw.
(ii) in the first eight throws there will be exactly three 5s.
a) The binomial distribution is suitable to use when:
Trials are independent.There is a fixed number of trials.Each trial has only two outcomes.b) The probabilities are given as follows:
i) First 5 on the sixth throw: 0.0531 = 5.31%.ii) Three fives on the first eight throws: 0.2428 = 24.28%.What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The binomial distribution is used when there is a fixed number n of trials, with each trial having only two possible outcomes, success or failure, and trials are independent, that is, the probability of success on any trial is the same.
For item b, the parameter p is obtained as follows:
Probability of a 5: p.Probability of any of the other five numbers: 0.5p.The sum of all the probabilities is of one, hence:
5 x 0.5p + p = 1
3.5p = 1.
p = 1/3.5
p = 0.2857.
For item i, the probability is obtained as follows:
Hence:
p = (1 - 0.2857)^5 x 0.2857 = 0.0531 = 5.31%.
For item ii, the probability is P(X = 3) when n = 8, hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{8,3}.(0.2857)^{3}.(0.7143))^{5} = 0.2428[/tex]
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