Answer:
2
Step-by-step explanation:
Angles 3 and 5 are alternate interior angles because they are inside the lines and are on opposite sides of the transversal.
This means they are equal to one another, so 2 is correct because they are alternate interior and angle 5 will be 140 degrees.
Approximate the value of positive square root 5 to the nearest hundredth
Answer:
2.2
Step-by-step explanation:
A monk crossbred plants which can have purple or white flowers and obtained 511 plants with white flowers and 337 plants with purple flowers find the empirical Probability that a plant had each type of flower
Answer:
For purple;
P(p) = 337/848 = 0.40
For white;
P(w) = 511/848 = 0.60
Step-by-step explanation:
Given;
Number of plants with purple flowers P = 337
Number of plants with white flowers W = 511
Total T = 337 + 511 = 848
For purple;
the empirical Probability that a plant had purple flowers P(p) is
P(p) = Number of plants with purple flowers/total number of plants
P(p) = P/T
Substituting the values, we have;
P(p) = 337/848 = 0.40
For white;
the empirical Probability that a plant had white flowers P(w) is
P(w) = Number of plants with white flowers/total number of plants
P(w) = W/T
Substituting the values, we have;
P(w) = 511/848 = 0.60
Determine the ordered pair that satisfies the equation, 7x - 1y = 8.
Answer:
(1.142857143 , -8)
Step-by-step explanation:
Anybody know the answer?
Yes!
This does represent a function because all numbers in this table are real numbers.
Integers and whole numbers are apart of real numbers.
Therefore you do not have to state why this is not a function because it certainly is!
A student scored 83 and 91 on her first two quizzes. Write and solve a compound inequality to find the possible values for a third quiz score that would give her an average between 85 and 90, inclusive
Step-by-step explanation:
3*85 <= 83+91+x <= 3*90
255 <= 174+x <= 270
81 <= x <= 96
Answer:
81 ≤ x ≤ 96
Step-by-step explanation:
85 ≤ (x + 83 + 91)/3 ≤ 90
85 ≤ (174 + x)/3, (174 + x)/3 ≤ 90
81 ≤ x ≤ 96
James is working at a place that ships boxes. Each box is rectangular prism that measures 2 ft long, 3 ft wide, and 2 ft tall. He is loading a small trailer that has 396 cu ft of space. What is the maximum number of boxes he can fit inside the trailer?
Answer:
33
Step-by-step explanation:
2x3x2=12 396/12=33
A water balloon is thrown from the top of a house. The path of the balloon is modelled by the relation, h = -4.9t2 – 14.7t + 19.6,
where h is the balloon's height, in meters, above ground, and wheret is the time, in seconds.
a.
How tall is the house? (1 mark)
b. How long does it take for the balloon to hit the ground? (3 marks)
What is the maximum height that the balloon reaches? marks)
C.
Answer:
(a)19.6 meters
(b) 1 seconds
(c)30.625 meters
Step-by-step explanation:
The height of the balloon is modeled by the equation:
[tex]h = -4.9t^2- 14.7t + 19.6[/tex]
(a)Since the balloon is thrown from the top of the house, the height of the house is at t=0
When t=0
[tex]h(0) = -4.9(0)^2- 14.7(0) + 19.6\\h=19.6$ meters[/tex]
The height of the house is 19.6 meters.
(b)When the balloon hits the ground
Its height, h(t)=0
Therefore, we solve h(t)=0 for values of t.
[tex]h = -4.9t^2- 14.7t + 19.6=0[/tex]
[tex]-49t^2-147t+196=0\\-49(t^2+3t-4)=0\\t^2+4t-t-4=0\\t(t+4)-1(t+4)=0\\(t+4)(t-1)=0\\t+4=0$ or $t-1=0\\t=-4$ or t=1[/tex]
Therefore, the ball hits the ground after 1 seconds.
(c)To determine the maximum height, we take the derivative of the function and solve it for its critical point.
[tex]If$ h = -4.9t^2- 14.7t + 19.6\\h'(t)=-9.8t-14.7\\$Setting the derivative equal to zero$\\-9.8t-14.7=0\\-9.8t=14.7\\t=-1.5\\$Therefore, the maximum height, h(t) is:\\h(1.5) = -4.9(-1.5)^2- 14.7(-1.5) + 19.6\\=30.625$ meters[/tex]
Suppose f(x)=x^2 and g(x)=1/4x^2. Which statement best compares the
graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) vertically stretched by a
factor of 4.
B. The graph of g(x) is the graph of f(x) shifted 1/4 units right.
C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.
D. The graph of g(x) is the graph of f(x) horizontally compressed by a
factor of 4.
Answer:
Step-by-step explanation:
Statement A is closest to being correct. To get the graph of g(x), we compress the graph of f(x) vertically due to multiplying f(x) by (1/4).
Answer:
C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.
Step-by-step explanation:
a p e x
which of these statements us true for f(x)=3•(9)^x
Answer:
C
Step-by-step explanation:
The y-intercept is at x=0, y=3.
A 4-inch by 2-inch piece of granite that is 5 feet long is cut lengthwise along its diagonal. Find the perimeter and area of the cross section formed by the cut.
Answer:
Perimeter of the cross section = (10+4√5)inches = 18.9in
Area of the cross section= = 10√5 in²
Step-by-step explanation:
Find attached the diagrams used in solving the question
Dimensions of granite = 4in by 2in
Length = 4in
Breadth = 2in
Height = 5in
When granite is cut lengthwise along it's diagonal, the cross section formed by the cut will be a rectangle.
Perimeter of the cross section = 2(height+breadth)
Breadth = diagonal of the cross section
The diagonal of a rectangle divides the rectangle into two right angled triangles.
We would apply Pythagoras theorem to find the length of the diagonal
Hypotenuse ² = opposite ²+adjacent ²
Hypotenuse = length of diagonal
Hypotenuse ² = 2² + 4²
Hypotenuse ² = 4+16 = 20
Hypotenuse = √20 = 2√5
Perimeter of the cross section = 2(height+breadth) =2(5+2√5)
Perimeter of the rectangle = 10+4√5 inches = 18.9in
Area of the cross section= diagonal × height
Area of the cross section= 2√5 × 5
Area of the cross section= = 10√5 in²
Simplify: (2x2 − 9x + 3) + (−7x2 + 4x − 2)
Answer:
-5x^2-5x=+1
Step-by-step explanation:
Which data set is least Likely to resemble a normal distribution?
Look at picture
Answer: B) The heights of girls who live on a certain street in the city of Buffalo
Every answer choice starts with "the heights of all 14-year-old girls who", so we can ignore that part. Choice A describes the largest population while choice B describes the smallest population. In other words, choice A is very general and broad, while choice B is very specific and narrow. The more specific you get and the smaller the population is, the less likely its going to be normally distributed.
With this diagram, what could be the values of c and d?
Math item stem image
CLEAR CHECK
c=4.2,d=−12
c=−5,d=−84
c=−15,d=11
c=7,d=−54
The values of c and d are c = 4.2, d=−12, c = −5, d=−8/4 and c = −1/5, d=11
How to determine the values of c and d?The complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
d = integers
c = rational numbers
Integers are numbers without decimal and rational numbers can be expressed as fractions
Using the above as a guide, we have the following possible values
c = 4.2, d=−12, c = −5, d=−8/4 and c = −1/5, d=11
Read more about numbers at
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Evaluate -31-8+31 what’s the answer
Answer:
i believe that would be -8...
Step-by-step explanation:
Answer:
the correct answer is -8
plz mark as brainliest
Step-by-step explanation:
Find the surface area of this triangular prism shown below
Answer:
Step-by-step explanation:
area of side triangles=2(1/2×6×4)=24 units²
area of 3 rectangles=6×7+2(5×7)==42+70=112 units²
or=(6+5+5)×7=16×7=112 units²
Total surface area=24+112=136 units²
Billy’s Boat Rentals charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. Lisa’s Boat Rentals does not charge a yearly fee but charges $14.75 every time a member rents a boat. How many times does a person have to rent a boat for Billy’s and Lisa’s to cost the same amount?
Answer:
It will take 20 times for both cost to be same
Step-by-step explanation:
What we want to do here is to calculate the number of times it will take someone who’s wants to rent a boat by Billyboat will be able to rent Lisa boat.
The first thing to do here is calculate how much that is charged to rent Billyboats
That would be;
Let the number of times be n
so the amount will be
105 + 9.50n
Now, renting at 14.75 at n times would be 14.75n
Mathematically, we equate both
14.75n = 105 + 9.5n
14.75n - 9.5n = 105
5.25n = 105
n = 105/5.25
n = 20 times
Please help……………………………………!!!!!!!!!
Answer:
4 k^4
Step-by-step explanation:
(64 k^12) ^ 1/3
We know (ab)^c = a^c * b^c
64 ^ 1/3 k^12^1/3
4 * k^12^1/3
We know a^b^c = a^(b*c)
4 k^(12*1/3)
4 k^4
Please help, I need this answer
Answer:
6.4
Step-by-step explanation:
By the Pythagorean Theorem:
[tex]c=\sqrt{5^2+4^2}= \\\\\sqrt{25+16}= \\\\\sqrt{41}\approx 6.4[/tex]
Hope this helps!
Answer:
To solve we need to use pythogorean theorm. So first we take the square of both giving us 25, 16. Then we add them and get 41. So the answer is squareroot of 41 and if you round you get 6.4
Answer: is approx. 6.4Calculate the width of a 70" TV if the TV has an aspect ratio of 16:9.
Answer:
The TV has a length of 61.01" and a height of 34.32"
Step-by-step explanation:
The size of a TV is given by the length of it's diagonal, in this case the diagonal of the TV is 70". The ratio of the screen is 16:9, which means that for every 16 units on the length of the tv there are 9 inches on its height. The diagonal of the screen forms a right angle with the length and the width, therefore we can apply Pythagora's theorem as shown below:
[tex]diagonal^2 = height^2 + length^2\\\\height^2 + length^2 = (70)^2\\\\height^2 + length^2 = 4900[/tex]
Since the ratio is 16:9, we have:
[tex]9*length = 16*height[/tex]
[tex]length = \frac{16}{9}*height[/tex]
Applying this on the first equation, we have:
[tex]height^2 + (\frac{16}{9}*height)^2 = 4900\\\\height^2 + \frac{256}{81}*height^2 = 4900\\\\\frac{337}{81}*height^2 = 4900\\\\height^2 = \frac{4900*81}{337}\\\\height^2 = \frac{396900}{337}\\\\height^2 = 1177.744\\\\height = \sqrt{1177.744}\\\\height = 34.32[/tex]
[tex]length = \frac{16}{9}*34.32\\\\length = 61.01[/tex]
The TV has a length of 61.01" and a height of 34.32"
In △ABC, AB = 13.2m,
BC = 6.9m and ∠ACB = 90°. H lies on AC such that
∠BHC = 46°. Find
(i) ∠ABH
(ii) The length of AH
Answer:
(i) ∠ABH = 14.5°
(ii) The length of AH = 4.6 m
Step-by-step explanation:
To solve the problem, we will follow the steps below;
(i)Finding ∠ABH
first lets find <HBC
<BHC + <HBC + <BCH = 180° (Sum of interior angle in a polygon)
46° + <HBC + 90 = 180°
<HBC+ 136° = 180°
subtract 136 from both-side of the equation
<HBC+ 136° - 136° = 180° -136°
<HBC = 44°
lets find <ABC
To do that, we need to first find <BAC
Using the sine rule
[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin C}{c}[/tex]
A = ?
a=6.9
C=90
c=13.2
[tex]\frac{sin A}{6.9}[/tex] = [tex]\frac{sin 90}{13.2}[/tex]
sin A = 6.9 sin 90 /13.2
sinA = 0.522727
A = sin⁻¹ ( 0.522727)
A ≈ 31.5 °
<BAC = 31.5°
<BAC + <ABC + <BCA = 180° (sum of interior angle of a triangle)
31.5° +<ABC + 90° = 180°
<ABC + 121.5° = 180°
subtract 121.5° from both-side of the equation
<ABC + 121.5° - 121.5° = 180° - 121.5°
<ABC = 58.5°
<ABH = <ABC - <HBC
=58.5° - 44°
=14.5°
∠ABH = 14.5°
(ii) Finding the length of AH
To find length AH, we need to first find ∠AHB
<AHB + <BHC = 180° ( angle on a straight line)
<AHB + 46° = 180°
subtract 46° from both-side of the equation
<AHB + 46°- 46° = 180° - 46°
<AHB = 134°
Using sine rule,
[tex]\frac{sin 134}{13.2}[/tex] = [tex]\frac{sin 14.5}{AH}[/tex]
AH = 13.2 sin 14.5 / sin 134
AH≈4.6 m
length AH = 4.6 m
what's meep + meep + meep + meep ? i'm having a hard time with this
Answer:
Duh MeepMeepMeepMeep
Step-by-step explanation:
bc I said
Answer:
Meepmeepmeepmeep or Meeeeeeeep.
Step-by-step explanation:
Meeeeeeeep has all of the es. Meepmeepmeepmeep has everything.
HELPPP PLEASEE l
The gasoline mileage for two cars can be compared by finding the distance each car traveled and the amount of gasoline used. The table shows the distance that car M traveled using x gallons of gasoline.
The graph shows the distance, y, that car P traveled using x gallons of gasoline
Answer:
Car M:
50.4/2 = 25.2
car M uses up 1 gallon every 25.2 miles
Car P:
Just from the graph, you can see that it uses up 1 gallon every 30 miles
The two graphs vary the /miles slightly but it is around their zones of 25.2 and 30. It varies slightly because the cars may be traveling at a fast speed or slower speed thus using up more or less fuel by the time they've reached the recorded distances on the graphs.
The figure is made up of two cones and a cylinder. Both cones and the cylinder have a 10 mm diameter. What is the exact volume of this figure? What is the volume of this figure? 250πmm³ 400πmm³ 625πmm³ 2500πmm³ Two 15 millimeter high cones with 10 millimeter diameters are connected to each other at their vertices. A 15 millimeter high cylinder with a diameter of 10 millimeters is connected to the cone on the right.
Answer:
625πmm³
Step-by-step explanation:
The exact volume of the figure will be the sum total of volume of the two comes and one cylinder.
Volume of a cone = 1/3πr²h
r is the radius of the cone
h is the height of the cone
Since the cone are 15mm high, their individual height = 15mm
Diameter = 10mm, radius = 5mm
Volume of a cone = 1/3× π × 5²×15
Volume of a cone = 1/3 × π × 25 × 15
Volume of a cone = 125πmm³
Volume of both cones = 2(125π) = 250πmm³
Volume of a cylinder = πr²h
Height of the cylinder = 15mm
Radius of the cylinder = 5mm
Volume of the cylinder = π(5)²×15
Volume of the cylinder = 375πmm³
Volume of the composite solid = volume of the two cones + volume of cylinder.
= 250πmm³+375πmm³
= 625πmm³
Answer: 625pimm^3
Step-by-step explanation:
Which circle C shows a chord that is not a diameter?
Circle C is shown. A line is drawn from one side of the circle to the other side and goes through point C.
Circle C is shown. A line is drawn on the outside of the circle and intersects the circle at one point.
Circle C is shown. A line is drawn from point C to a point on one side of the circle.
Circle C is shown. A line goes from one point on the circle to another point on the circle.
Answer:
The answer is option D
Step-by-step explanation:
Just got it right on edge :)
Answer:
d
Step-by-step explanation:
Container X contained 1200g of sand.Container Y contained 7.2kg of sand.After an equal amount if sand was removed from each container,Container Y had 7 times as much sand as container X.how much sand was removed from each container?
Which of the following expressions are equivalent to this expression: –1(0) = ? im lazy and dont wanna do it
Answer:
0
Step-by-step explanation:
Okay...um. Any number times 0 is 0 so the expression you choose should equal 0.
Find the radius and center of the circle given by the equation below.
(x-6)2 + (y + 4)2 = 7
Ore 17 and center at (-4.6)
or= 7 and center at (6-4)
or=7 and center at (-6.4)
or= 7 and (
6-4)
Answer:
center (6,-4)
radius = √7 unit
Step-by-step explanation:
Mathematically, the equation of a circle can be written as follows;
(x-a)^2 + (y-b)^2 = r^2
Where (a,b) represents the center of the circle with r representing the radius of the circle.
Now looking at the values in the question, we can clearly see that a = 6, while b represents -4.
The radius of the circle is √7
So the circle center is (6,-4) while √7 is the circle center
A student does an experiment and wants to make a graph comparing various amounts of materials. Which type of graph should the student choose?
Answer:
The plotting the points 1 and then you will be able to compare the materials and how they work in comparison to the other material
Answer:
Bar graph
Step-by-step explanation:
Cuz he will make bars in order to show the materi
An arithmetic sequence has this recursive formula. a1=9 and 1-3 .
The required explicit formula for the sequence is [tex]a_n = 9+(n+1)(-3)[/tex]. Option B is correct.
Given, an arithmetic sequance is given in the form of [tex]\left \{ {{a_1=9} \atop {a_n =a_{n-1}-3} \right.[/tex] .
Explicit formula for the sequence is to be determined.
Arithmetic progression is the sequence of numbers that have common differences between adjacent values.
Example, 1, 2, 3, 4, 5, 6. this sequence as n = 6 number with a = 1 (1st term) and common differene d = 2- 1 = 1.
Given arithmetic sequance is in the form of [tex]\left \{ {{a_1=9} \atop {a_n =a_{n-1}-3} \right.[/tex]
From above expression
[tex]a_n-a_{n-1}= -3[/tex]
common difference (d) = -3
with d = -3 and [tex]a_1 = 9[/tex]
The equation for the nth term in an arithmetic sequence is given by
[tex]a_n =a +(n-1)d[/tex]
[tex]a_n = 9 +(n-1)(-3)[/tex]
The above expression is the explicit form of the arithmetic equation.
Thus, the required explicit formula for the sequence is [tex]a_n = 9+(n+1)(-3)[/tex]. Option B is correct.
Learn more about arithmetic progression here:
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-14 -8 = -2 (-3x + 7)
Please answer
Answer:
-4/3
Step-by-step explanation:
-14 -8 = -2 (-3x + 7)-22= 6x-146x=14-226x=-8x= -8/6x= -4/3