Step-by-step explanation:
a0 = 0 ft (starting on the ground)
a1 = a0 + 3 - 1 = a0 + 2
an = an-1 + 3 - 1 if an-1 +3 < 15
an = an-1 + 3 if an-1 + 3 >= 15
so, we need to find the n, so that
an = an-1 + 2 >= 12
but by looking at the structure, we see that every step just adds 2 ft to the total height.
an = a0 + 2n = 0 + 2n = 2n
2n >= 12
n >= 6
so, with day 6 the bug reaches 12 ft height. in day 7 it gets up to 15 ft and reached its goal.
it will take 7 days for the bug to reach the top and get the food.
Can someone help me with this?
The formula for the area of a trapezoid is A = 1/2 h(b₁ + b₂), and where h is its height and b₁ and b₂ are the lengths of each base. Rewrite the area formula to solve for the height
are the lengths of each base.
Answer:
i think its A=12BH+12BiH
------------------------------------
In the diagram, if PW = 12 and PT = 9, find PX.
The length of segment PX in this problem is given as follows:
PX = 9.
How to obtain the length of segment PX?The theorem used to solve this problem is given as follows:
A line parallel to one side of a triangle divides the other two proportionately.
In this problem, all the horizontal lines are parallel, hence the side is divided proportionality, as the resulting triangles in the context of this problem are all similar.
PX is three-fourths of the length of the segment PW = 12, hence it's length is given as follows:
PX = 3 x 12/4
PX = 3 x 3
PX = 9 units.
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Draw the first through the fifth generations of squares, triangles and trapezoids. count how many of each shape are needed to create each generation. explain the pattern that you have observed. if a pattern does hold for each generation, how many tiles would be required at the 20th generation? how do you determine if the generation you are building is similar (by mathematical definition) to the other generations? what happens to area when you double the dimensions of a given polygon? triple them? describe the pattern and give the value needed for the 20th generation.
At the 20th generation, 400 squares, 400 triangles, and 400 trapezoids are needed.
The pattern for the first through the fifth generations of squares, triangles, and trapezoids is that each generation is made up of the previous generation's shapes, but with each shape having an additional set of smaller shapes attached to each side.
For example, in the first generation, there is only one square. In the second generation, four smaller squares are attached to the sides of the first square. In the third generation, nine smaller squares are attached to the sides of each of the four squares in the second generation, and so on.
The number of shapes needed to create each generation can be found using the formula:
(n^2)
Where n is the generation number.
For example, in the first generation, only 1 square, 1 triangle and 1 trapezoid is needed, in the second generation, 4 of each are needed, in the third generation, 9 of each are needed, and so on.
If this pattern holds for each generation, the number of tiles required at the 20th generation can be found by substituting n = 20 into the formula:
(20^2) = 400
To determine if the generation you are building is similar (by mathematical definition) to the other generations, you would need to check whether the ratio of corresponding sides is the same for each shape in the generation.
When you double the dimensions of a given polygon, the area is multiplied by four. When you triple the dimensions of a given polygon, the area is multiplied by nine.
The pattern for the number of shapes needed to create each generation follows the pattern of a square of n^2. Therefore, the number of tiles required at the 20th generation can be found by substituting n = 20 into the formula, n^2 = 20^2 = 400.
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Question 1 (Essay Worth 10 points)
(02.08 HC)
0
In a volatile housing market, the overall value of a home can be modeled by V(x) = 325x² - 4600x+145000, where V represents the value of the home
and x represents each year after 2020. Find the vertex and interpret what the vertex of this function means in terms of the value of the home. Show the
work you completed to determine the vertex.
Answer:
The vertex of a parabolic function like V(x) = 325x² - 4600x + 145000 can be found by using the vertex form of the equation, which is y = a(x-h)² + k. In this form, (h,k) is the vertex of the parabola. To convert the equation V(x) = 325x² - 4600x + 145000 into vertex form, we can complete the square to get the following:
V(x) = 325(x² - 14x) + 145000
To complete the square we will add and subtract (14/2)² = 49
V(x) = 325(x-7)² + 145000 - 49*325 = 325(x-7)² + 138375
So the vertex of the parabola is (h,k) = (7, 138375).
The vertex of a parabolic function represents the minimum or maximum point of the parabola, depending on whether the parabola opens upwards or downwards. In this case, the vertex represents the maximum value of the home. It means that the value of the home reaches its highest point at 7 years after 2020, and this highest point is 138375.
So in terms of the value of the home, the vertex of the function represents the point at which the housing market reaches its peak, after which the value of the home begins to decrease.
Last season , the Roswell hornets out scored their opponents 5:2 if their opponents scored 28 points , how many points did the hornets score ?
The hornets scored 70 points if they scored 5:2 when their opponents scored 28 points.
Therefore the answer is 70.
If the Roswell hornets outscored their opponents 5:2, this means that for every 5 points the hornets scored, their opponents scored 2 points.
If we know that the opponents scored 28 points, we can use this information to find out how many points the hornets scored.
We can set up the equation:
x/28 = 5/2
Where x is the number of points the hornets scored.
On solving the equation we get:
x = (5 × 28)/2
x = 5 × 14
x = 70
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PLSSS HELPPP!!! WILL GIVE BRAINLIEST!!
Answer:
You cut the question out so it is impossible to tell but i can guess that
W is the midpoint or something, so WR = 136.8/2 = 68.4
This is just a guess, i can't tell properly as i don't know the question.
An aquarium holds 8. 6 cubic feet of water. The aquarium is filled up further to hold 9. 2 cubic feet of water. What is the percent of change for the volume of water inside the aquarium?
The per cent of change for the volume of water inside the aquarium is 93.5.
An aquarium carries 8.6 cubic feet of water.
The aquarium is loaded up further to hold 9.2 cubic feet of water.
We have to find the per cent of change for the volume of water inside the aquarium.
A ratio or value that may be stated as a fraction of 100 is a percentage. If we calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
The per cent of change for the volume of water inside the aquarium = Water holds by aquarium/Further filled water × 100
The per cent of change for the volume of water inside the aquarium = (8.6/9.2) × 100
The per cent of change for the volume of water inside the aquarium = 93.5%.
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what is the probability that four aces appear together when a pack of 52 cards is shuffled completely?
0.000004% is the probability that four aces appear together when a pack.
What in mathematics is probability?
The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out.
Statistics describes the examination of events subject to probability.
The first ace is a 4 aces and 52 cards = 4/52 chance
there are three aces left and 51 cards in total.
The second ace is 3/51,
since,
The third ace = 2/50 (1/25)
the fourth is 1/49.
= 4/52 * 3/51 * 1/25 * 1/49
= 1/270725
= 0.000004%.
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Your friend shows you a coin collection. In it, 44/50
of the coins are quarters. What percent of the coins are quarters?
Answer:
88% of the coins are quarters.
To find out, you can convert the fraction 44/50 to a percentage by multiplying it by 100.
(44/50) * 100 = 88%.
the perimeter of a rectangle is 34 centimenters the length is two more than twice the width. write and solve a system of linear equations to find the width of the rectanlge.
The linear equation that can be used to find the width of the rectangle is 34 = 6w, and w = 5.67cm
What is linear equation?A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.
The length of the rectangle is twice the width. Therefore, l = 2w
The perimeter of a rectangle is expressed as : P = 2(l+w)
l = 2w
P= 2(2w + w)
P = 6w
34 = 6w
therefore the equation that can be used to find the width of the rectangle is 34 = 6w
and the value of w = 34/6 = 5.67cm
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pls help super simple!!!
The minimum and the maximum of the linear equation - 2 · a + b are - 4 and - 1, respectively.
How to find the possible values of a given expression
In this question we find an algebraic expression that comprises two variables (a, b) and each variable is defined by following inequalities:
3 < a < 4
4 < b < 5
Herein we must determine the minimum and the maximum associated with linear equation - 2 · a + b:
Minimum (a = 4, b = 4)
m = - 2 · 4 + 4
m = - 4
Maximum (a = 3, b = 5)
M = - 2 · 3 + 5
M = - 1
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Solve the puzzle from the clues one of is 3 when you pair me with 36 our LCM is 36 I am greater the 6 but less than 12 what is the mystery number
HELPPP PLSSS
Answer:
Step-by-step explanation:
The mystery number is 9. The least common multiple of 3 and 36 is 36. When you pair 9 with 36, their least common multiple is still 36. 9 is greater than 6, but less than 12. Therefore, the mystery number is 9.
What transformation(s) have been applied to function f(x) to get g(x)? Check all that apply.translationreflectiondilationrotation
Transformations that have been applied to function f(x) to get g(x) are translation, reflection, and dilation.
The process of transforming the existing graph or graphed equation, to create a variation of the following chart is called graph conversion. Transformations such as translation, reflection, and dilation have been applied to function f(x) to produce g(x).
Whenever the function is "translated" it is moved in such a very way that it will not alter the shape or rotate in any way.The reflection is a modification of the function's graph all along the x or y-axis (or both).Dilation is defined as a stretch or shortening about in an axis caused by multiplying or subdivisions.Therefore, the answer is "translation , reflection , and dilation".
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Answer:
A) Translation
B) Reflection
C) Dilation
Step-by-step explanation:
Can someone explain how to solve this, equations aren’t my stronghold
Answer: y=-33.25 or -33.3
Step-by-step explanation:
2x=88
x=44
the triangle has 180 total angle
4y+(5x+5)+2x=180
substituting the numbers
4y+(5(44)+5)+2(44)=180
4y+(220+5)+88=180
4y+225+88=180
4y+313=180
(-313)
4y=-133
(divide by 4)
y=-33.25 or -33.3
HELP FOR BRAINLIEST ANSWER
Answer:
(motorboat speed is 40 km/h)
(current speed) = 10 km/h
Step-by-step explanation:
Ok, let the speed of the water current be x and the speed of the motorboat be y. Then, the speed of the motorboat upstream
against the current is (x - y)
Putting it into the equation, we get,
5h (x - y) = 150 km or
(x - y) = 30 km/h - 1
Now, downstream speed is (x + y).
Again, forming it into equation, we get,
3(x + y) = 150
x + y = 50 km/h - 2
Adding both equations, we get,
2x = 80 km/h
x (motorboat speed is 40 km/h)
40 - y = 30 km/h
y(current speed) = 10 km/h
Answer:
still water (s): 40 mph
current rate (c): 10 mph
Step-by-step explanation:
We are given two things:
1) 5 hours to travel 150 mi upstream
2) return trip 3 hours downstream
Note that when the boat goes upstream, it must push against the current, versus when it goes downstream, the current helps the boat to move. Also keep in mind the trip is always 150 mi both ways.
With that said, lets set up the problem. First, let s be the rate of the boat in still water, and let c be the rate of the current. We must keep in mind that when the boat goes upstream, it impedes its overall speed. So our equation for that looks like:
5(s-c)=150 (use for upstream)
And downstream would look like:
3(s+c)=150 (use for downstream)
Now that we have both equations, the next step is to expand them. You should get the two following equations:
5s-5c=150 AND 3s+3c=150.
Essentially, we are going to need to solve a system of equations here. You must add them to solve. First, multiply the first equation above by 3 and get 15s-15c=450 and multiply the second one by 5 and get 15s+15c=750.
When we add them we will get the following equation as a result: 30s=1200. Now divide both sides by 30 revelaing s to be 40. Now substiute in:
3(40)+3c=150
120+3c=150
-120 -120
3c=30
c=10
The system of equations is now solved revelaing the speed of the boat in still water to be 40 and the current speed to be 10.
work out the area of this shape
Answer:
[tex]72cm^{2}[/tex]
Step-by-step explanation:
9/3=3
12/3=4
(4x9)+(4x6)+(4x3)=
=36+24+12
=[tex]72cm^{2}[/tex]
Does 1 only have 1-factor?
1 is the only number that is neither prime nor composite number. 1 is the only factor of 1. One is the only number that has only 1 factor.
The factor of 1: 1 Negative Factor of 1: -1Prime Factorization of 1: As 1 has no prime factors, it cannot be prime factorized.Sum of Factors of 1: 1The number 1 is known as a unit. 1 is neither a prime nor composite number and has no prime factors.This means we cannot find factors of 1 and the prime factorization of 1 is not possible.Explore factors using illustrations and interactive example
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8. 4. G.SRT.3 For what value of x is AABC ~ADEF?.
The value of x which makes ΔABC congruent to ΔDEF is 12.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
ΔABC is congruent to ΔDEF
This means,
∠A = ∠D ____(1)
∠B = ∠E ____(2)
∠C = ∠F _____(3)
Now,
From (1),
42 = 4x - 6
42 + 6 = 4x
48 = 4x
x = 48/4
x = 12
From (2),
7x + 10 = 94
7x = 94 - 10
7x = 84
x = 12
Thus,
The value of x is 12.
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Find the area, not sure if that's a 1.5 or 15
Answer:
8.25
Step-by-step explanation:
trapezoid area =
(a+b)/2 times h =
if its 1.5
(4+7)/2 times 1.5 =
11/2 times 1.5 =
5.5 times 1.5 =
8.25
if its 15
5.5 times 15 =
82.5
its probably 1.5
wikipedia
Can anyone help with me this would like a explaination to
The length of the side XY for the given triangles is 3 units.
What are congruent triangles?Congruent figures and shapes are those that may be reversed or rearranged such that they match up with other figures and shapes. These shapes can be produced by mirroring these forms.
A closed polygon known as a triangle has three line segments that cross at each of its three angles.
Given two triangles,
ΔHIJ and ΔXYZ
and both are congruent,
ΔHIJ ≅ ΔXYZ
for congruent triangles the measure of sides and angles are equal,
we find that,
YZ ║ IJ, HI ║ XY and XZ ║ HJ
so YZ = IH = 4 units
HI = XY = 3 units
XZ = HJ = 5 units
Hence the length of XY is 3 units.
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The points (1, r) and (5, 1) lie on a line with slope 2. Find the missing coordinate r.
Answer:
r=-7
See explanation below
Step-by-step explanation:
slope= y2-y1/x2-x1
1-r/5-1=2
1-r/4=2. (simplify)
1-r=8 (cross multiply)
-r=7
r=-7
An 80% confidence interval for a proportion is found to be (0.27 , 0.33). what is the sample proportion?
a. 0.29
b. 0.30
c. 0.31
d. 0.33
Answer: B
Step-by-step explanation:
For 2011, if foreign students comprise exactly 1/8 of the number of out-of-state undergraduates, indicate which could be the number of in-state undergraduates.
200
330
1320
The number of in-state undergraduates could not be 200.
What is foreign students comprise?International or foreign students are students who migrate to another country to pursue their studies and complete all or a portion of their postsecondary education there.
Each nation has its unique national educational system, which affects how "foreign students" and "international students" are defined.
If foreign students comprise exactly 1/8 of the number of out-of-state undergraduates, then the number of in-state undergraduates would have to be a value that yields an integer value for the number of foreign students.
In-state undergraduates are 55% of 60% of the total, or (.55)(.6) = (.33) of the total.
If 330 is the number of in-state undergraduates, which comprise 33% of the total, then you can calculate the total number of admitted students:
(0.33) (total) = 200
⇒ total = 200/0.33
⇒ total = 200*100/33
⇒ total = 606.06
So that The number of in-state undergraduates could not be 200.
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The correct question is with graph
For 2011, if foreign students comprise exactly 1/8 of the number of out-of-state undergraduates, indicate which could not be the number of in-state undergraduates.
200
330
1320
students in mrs. barnes class determined the probability that she will check homework on a randomly chosen day is 0.42. they also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9. the probabilities are displayed in the tree diagram. a tree diagram. random day goes to checks homework and does not check homework. the arrow to checks homework is 0.42, and does not check homework is 0.58. checks homework to pop quiz, 0.60; checks homework to no pop quiz, 0.40. does not check homework to pop quiz, 0.90; does not check homework to no pop quiz, 0.10. what is the probability that the students will have a pop quiz on a randomly selected day? 0.25 0.52 0.77 0.90
The probability that the students will have a pop quiz on a randomly selected day 0.77
Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.42.
They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9.
Then the probability that Mrs. Barnes does not check homework if the students take a pop quiz will be
P= 0.42*0.60 + 0.58*0.90
P = 0.252 + 0.522
P = 0.774
P ≈ 0.77
The probability that the students will have a pop quiz on a randomly selected day 0.77
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Halona walks 1.93 kilometers to a neighbor's house in 23 minutes. assuming she walks at a constant speed,write a proportion that represents how many kilometers pls hurry :)
The proportion that represents kilometers Halona walks is 193 kilometers in 2300 minute, that is 193/ 2300.
1 kilometer / x minutes = 1.93 kilometers / 23 minutes
Let x be the kilometers Halona walks in 1 minute. If she walks at a constant speed, as speed is rate of distance covered in unit time
x kilometer / 1 minute = 1.93 kilometers / 23 minutes
So the proportion is:
x kilometer / 1 minutes = 1.93 kilometers / 23 minutes
x kilometer / 1 minutes = 193/ 2300
This proportion represents how many kilometers Halona walks per minute. To find her speed in kilometers per hour, we can multiply the proportion by 60 minutes/hour.
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Solve for X, Leave in simplest radical
Simplest radical form means the radical form of a number or algebraic expression in simplest terms.
Solve for X, Leave in simplest radical?The simplest radical form of the square root of 16 is √16. Generally, the radical form of the square root of a number can be written, if we know the prime factorization of a number. Thus, the prime factorization of 16 is 2×2×2×2.
Square root of 16 is +4 or -4. Since -4 is not a natural number, the square root can be described as an integer.
16 (sixteen) is the natural number following 15 and preceding 17. 16 is a composite number, and a square number, being 42 = 4 × 4.
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The following spreadsheet can be used to compute total weekly pay, given the hours, hourly rate, and overtime rate.
The formula to compute the total weekly in cell H2 is H2=D2+G2
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
(a).By using formula we get;
Regular gross pay= Regular Hours x Hourly Rate
D2=B2*C2
(b) By using the formula we get;
Overtime Hours = Hours Worked -Regular Hours
E2=A2-B2
(c) By using the formula we get;
Time-and-a-half overtime
hourly rate = Hourly rate 1.5
F2=C2x1.5
(d) By using the formula we get;
Total overtime pay
=Overtime Hours x Overtime rate
G2=E2 x F2
(e) By using the formula we get;
Total weekly pay = Regular pay + Overtime pay
H2=D2+G2
Therefore, the unitary answer will be H2=D2+G2
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Can a triangle have sides with 8 cm 7 cm and 9 cm?
Yes, for the given measurement of sides 8cm , 7cm, and 9cm the triangle formation is possible as sum of two sides is always greater than the third side.
As given in the question,
Given measurement of the side length of the triangle is equal to :
Measurement of Side 1 = 8cm
Measurement of Side 2= 7cm
Measurement of Side3 = 9cm
To form a triangle sum of the measure of two sides of a triangle should be greater than the measure of the third side of the triangle.
In the given triangle,
Side 1 + Side 2
= 8cm + 7cm
= 15cm > 9cm
Side 1 + Side 3
= 8cm + 9cm
= 17cm > 7cm
Side 3 + Side 2
= 9cm + 7cm
= 16cm > 8cm
Therefore, sum of measure of two sides is always greater than the third side it is possible to form a triangle with given measurement of sides.
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A certain equation of the form , where a, b, and c are real numbers, has one real solution. How many non-real solutions does the equation have?
The equation has no non-real solutions.
An equation of the form ax^2 + bx + c = 0, where a, b, and c are real numbers, can have either no, one, or two solutions. The solutions can be real or non-real (complex).
If the discriminant (b^2 - 4ac) is greater than zero, the equation has two distinct real solutions.
If the discriminant is equal to zero, the equation has one real solution.
If the discriminant is less than zero, the equation has two non-real solutions (complex roots).
In this case, it is given that the equation has one real solution, so that means the discriminant equals zero (b^2 - 4ac = 0). Therefore, the equation has no non-real solutions.
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Help me pleaseeeeeeeeeee
The absolute value graph shifted to the right 5 units is
A |x - 5|What is transformation?Transformation is a term used in mathematics to refer to the movements made by objects.
Translation refers to a type of transformation that involve a linear movement.
Translation has to do with the following movements
leftrightupdownThe up and down movements are on the vertical direction controlled by the y coordinate.
While the left and right movements are on the horizontal direction controlled by the x coordinate.
The movement represented by the absolute value equation |x - 5| is is translation 5 units right
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