well, we know the tree is growing at a rate of 36 feet every 3 years, how many feet is that in 1 year alone? well, simply 36/3 = 12.
so the tree is growing 12 feet per year.
when it was first planted, it was 5 feet tall, and then after every year, we have to add 12 feet subsequently, let's do that
year 1 .......... 5 + 12(1)
year 2 .......... 5 + 12(2)
year 3 .......... 5 + 12(3)
year 4 .......... 5 + 12(4)
year 5 .......... 5 + 12(5)
year 6 .......... 5 + 12(6)
year 7 .......... 5 + 12(7)
year y .......... 5 + 12(y)
[tex]\bf \stackrel{\textit{height}}{h}~~=~~\stackrel{\textit{initial height}}{5}~~+~~\stackrel{\textit{yearly rate}}{12y} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{tree is now}}{77} = 5 + 12y\implies 72=12y\implies \cfrac{72}{12}=y\implies \boxed{6=y}[/tex]
Can someone help me solve this
Answer:
1. p=1.3333
2. k=1
3. n=4
4. x=6.6666
5. m=17.5
6. r=8.75
A Gardner wants to add 39 pounds of nutrient a and 16 pounds of nutrient b to her garden. Each bag of brand x provides 3 pounds of nutrient a and 2 pounds of nutrient b. Each bag of brand y provides 4 pounds of nutrient a and 1 pound of nutrient b. How many bags of each brand should she buy?
Answer:
5 bags of brand x and 6 bags of brand y.
Step-by-step explanation:
Nutrient requirement for the garden:
39 pounds of nutrient a and
16 pounds of nutrient b
Component of each bag of brand x:
3 pounds of nutrient a and 2 pounds of nutrient b
Therefore, 5 bags of brand x will contain 15 pounds of nutrient a and 10 pounds of nutrient b
Component of each bag of brand y:
4 pounds of nutrient a and 1 pound of nutrient b
Therefore, 6 bags of brand y will contain 24 pounds of nutrient a and 6 pounds of nutrient b
Altogether, she should buy 5 bags of brand x and 6 bags of brand y to meet the nutrient requirement of the garden
Number 3 i need the answer
Answer:
a) C= 275+1.5n b)151 tickets
Step-by-step explanation:
b) 500= 275 +1.5n
500-275=1.5n
225=1.5n
150=n
if n equals 151 Band A would be cheaper because
C=275+1.5n
C= 501.5
500<501.5
A bicyclist slow with a force of 3.5 × 10² N. if the bicyclist and bicycle have a total mass of 1.0 × 10² kg, what is the acceleration
Answer:
3.5 m/s²
Step-by-step explanation:
We are given;
The force of a bicycle as 3.5 × 10² NMass of the bicycle as 1.0 × 10² kgWe are required to determine the acceleration of the bicycle;
From Newton's second law of motion;
F = ma
Rearranging this;
a = F÷ m
Therefore;
Acceleration = 3.5 × 10² N ÷ 1.0 × 10² kg
= 3.5 m/s²
Thus, the acceleration of the bicycle is 3.5 m/s²
What is the solution of the inequality of 3x-5>4x-3
Answer:
x<-2
Step-by-step explanation:
3x-5>4x-3
-5>x-3
-2>x or x<-2
How many x-intercepts appear on the graph of this polynomial function? f (x) = x Superscript 4 Baseline minus 5 x squared 1 x-intercept 2 x-intercepts 3 x-intercepts 4 x-intercepts
Answer:
3 x-intercepts
Step-by-step explanation:
f(x) = x⁴ - 5x²
There will be 4 x-intercepts on the graph of this polynomial function
Given the polynomial equation expressed as:
f(x) = [tex]x^4-5x^2[/tex]The x-intercept of a polynomial is determined by the degree of the given polynomial.According to the polynomial given, we can see the highest degree of the polynomial is 4. Hence there will be 4 x-intercepts on the graph of this polynomial function
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Which statement best explains how gas attacks affected warfare during World War I?
A Gas attacks resulted in the deaths of millions of civilians and led people to demand an end to the
war.
B
Gas attacks made fighting in trenches difficult and had major psychological effects upon troops.
Gas attacks terrified troops and led them to demand a truce between the Allied Powers and the
Central Powers.
Gas attacks allowed Germany to win major battles and defeat France before the United States
joined the war.
DELL
Answer:
i think its Gas attacks allowed Germany to win major battles and defeat France before the United States
joined the war.
Step-by-step explanation:
Final answer:
Gas attacks during World War I contributed to the horrors and difficulties of trench warfare and had severe psychological impacts on soldiers, but they did not lead to major strategic victories or civilian efforts to end the war.
Explanation:
Gas attacks during World War I profoundly changed the nature of warfare, particularly during the era of trench warfare. These gas attacks made the act of fighting in trenches extremely challenging and induced significant psychological suffering among the troops. The use of poison gas was viewed as a horrific method of warfare by soldiers, burning the lungs, eyes, and skin, and leaving those who survived in a state of dread, with many considering the victims of gas attacks the unlucky ones. It did not lead to a significant shift in the outcome of battles, which remained largely stalemated with enormous casualties but minimal territorial gains.
Despite these devastating effects, gas attacks did not lead to military victories that decisively changed the war - at least not in favor of Germany before the United States entered the war, nor did these attacks result in the mass deaths of civilians or lead people to demand an immediate end to the war. The international tensions and problems that initiated the war were not resolved but were instead exacerbated by the new methods of modern combat. Gas attacks did terrify troops, but they did not lead them to demand a truce between the Allied Powers and the Central Powers.
In summary, the most apt answer to how gas attacks affected warfare during World War I would be that they made fighting in trenches difficult and had significant psychological effects upon troops, as discussed in option B.
Use the distributive property to write an expression
that is equivalent to 45 + 30x.
Answer:
15(3+2x)
Step-by-step explanation:
Factor out the 15.
Determine the intercepts of a line.
x-intercept: (__,__)
y-intercept: (__,__)
Step-by-step explanation:
In x- intercept: -250
In y- intetcept: 100
A music teacher needed .25 hour per student to administer an oral test. If the teacher spent 3.75 hour Administering the test, how many students were tested?
Answer:
one student = 0.25
3.75 ÷ 0.25 = 15
15 students were tested by the teacher.
Step-by-step explanation:
Solve for a.
a+0.3=−2
What is the answer?
Answer:
a = -2.3
Step-by-step explanation:
a + 0.3 = -2
Subtract 0.3 from both sides
We have,
a + 0.3 -0.3 = -2 - 0.3
a = -2.3
Evaluate:
(-4) - (-16) + (-10) - (-1) - (14) + (11)
Answer:
I got the answer -2
Step-by-step explanation:
What two decimals equal 5.5
Final answer:
The question seems to be asking for two decimals that equal 5.5 when added together, which can have many solutions such as 2.75 and 2.75. In the context of significant figures and rounding, rules differ based on whether the significant figure is odd or even when followed by a 5.
Explanation:
The question seems to be asking for two decimals that add up to 5.5. There are an infinite number of decimal pairs that can do this, for example, 2.75 and 2.75, or 3.00 and 2.50. However, without additional constraints, it's not possible to determine a unique pair of decimals.
Significant figures and rounding
When dealing with significant figures and rounding, the specific rules you mentioned come into play. According to the rules provided, we round differently based on whether the last significant digit is odd or even when the next digit is 5. For example, if we have 2.525 and we need to round to three significant figures, we round to 2.52 because the last significant figure, 2, is even. On the other hand, if we have 2.535, we would round to 2.54 because the last significant figure, 3, is odd and the next digit is 5.
Rounding in Complex Calculations
It's important to round off numbers at the end of calculations to ensure accuracy. For instance, 2.6525272 rounded to three decimal places, considering rounding rules, would be 2.653.
What's the answer please, step by step 20 points
3*4³, it says to simplify the answer
Answer:
192
Step-by-step explanation:
look for the app photomath shows u the steps
A triangle has the length of 6cm and height of 8cm. The area of the rectangle is 5 times the area of the triangle. The rectangle has the length of 12cm. Work out what the width is.
Answer:
10cm
Step-by-step explanation:
Since the area of the rectangle is 5times the area of the triangle, let us first of all find the area of the triangle.
From the question, we obtained the following information:
h = 8cm
b =6cm
Area of triangle = 1/2 x b x h
Area of triangle = 1/2 x 6 x 8
Area of triangle = 24cm^2
But,
Are of the rectangle = 5times the area of triangle i.e
Area of rectangle = 5 x 24 = 120cm^2
Area of rectangle = L x w
L = 12cm
Area of rectangle = 120cm^2
W =?
120 = 12 x w
Divide both side by 12
W = 120 /12 = 10cm
Terrence and Lee were selling magazines for a charity. In the first week, Terrance sold 30% more than Lee. In the second week, Terrance sold 12 magazines, but Lee did not sell any. If Terrance sold 50% more than Lee by the end of the second week, how many magazines did Lee sell? Choose any model to solve the problem. Show your work to justify your answer.
Answer:
Lee sold 60 magazines
Step-by-step explanation:
1st week:
Lee sold = x magazines
Terrence sold [tex]=x+0.3x=1.3x[/tex] magazines (30% more)
2nd week:
Lee sold = 0 magazines
Terrence sold = 12 magazines
Total:
Lee sold = x + 0 = x magazines
Terrence sold = 1.3x + 12 magazines
If Terrance sold 50% more than Lee by the end of the second week, then
x - 100%
1.3x + 12 - 150% (50% more), then
[tex]\dfrac{x}{1.3x+12}=\dfrac{100}{150}\\ \\150x=100(1.3x+12)\\ \\150x=130x+1,200\\ \\150x-130x=1,200\\ \\20x=1,200\\ \\x=60[/tex]
Hence, Lee sold 60 magazines
If it takes 5 hour to paint 5/6 of a truck,how long will it take to paint the whole truck
Answer:
6 hours.
Step-by-step explanation:
5/6 / 5 is 1/6. 6 divided by 1 out of 6 is 6. so 6 hours
6 hours
If it takes 5 hours to paint 5/6 of a truck that means that that 1 hour is 1/6
How to find the area of composite polygon that have a base of 16 meters height of 18 meters and a height of 11 meters.
The area of the composite polygon is:
[tex]\boxed{A_{T}=376 \ m^2}[/tex]
Explanation:Hello! remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any figure, so I'll choose the figure below in order to illustrate this problem. A composite polygon is a polygon that can be divided into two or more basic shapes. So here we have a composite polygon formed by a triangle and a rectangle. So:
[tex]A_{total}=A_{T} \\ \\ A_{triangle}=A_{tr} \\ \\ A_{rectangulo}=A_{r} \\ \\ \\ A_{tr}=\frac{b\times h}{2} \\ \\ b:Base \ of \ the \ triangle \\ \\ h:height \ of \ the \ triangle \\ \\ \\ A_{r}=B\times H \\ \\ B:base \ of \ the \ rectangle \\ \\ H:height \ of \ the \ rectangle[/tex]
So the area of the composite figure is:
[tex]A_{T}=\frac{16\times 11}{2} + 16\times 18 \\ \\ A_{T}=88+288 \\ \\ \boxed{A_{T}=376 \ m^2}[/tex]
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Petra must write a report with more than 1,000 words for her history class. So far, she has written 684 words. Write and solve an inequality to find how many more words Petra needs to write for her report.
Answer:
1684 words
Step-by-step explanation:
Algebra identify the pattern. Then write the next three terms in each sequence. 63,58,53,48.....
Answer:43, 38, 33
Step-by-step explanation:
The pattern is subtracting 5
63 -5 = 58
58 - 5 = 53
53 - 5 = 48
48 - 5 = 43
43 - 5 = 38
38 - 5 = 33
9 to the 12th power divided by 9 to the 8th power
How tall is this water tower to the nearest tenth?
Bought large bag of seed and used 24% of bag. How many pounds in original bag if 15.2 pounds left?
Question:
Heather bought a large bag of bird seed and used 24% of the bag. How many pounds were originally in the bag if there are 15.2 pounds left?
Answer:
There were 20 pounds of seed in bag originally
Solution:
Given that,
Heather used 24 % of bag
There are 15.2 pounds left
To find: Pounds of seed in bag originally
Let "x" be the pounds of seed in bag originally
From given,
100 % - 24 % = 76 %
Thus 76 % of bag is unused
Also, given that there are 15.2 pounds left
Therefore, we can say,
76 % of x = 15.2
[tex]76 \% \times x = 15.2\\\\\frac{76}{100} \times x = 15.2\\\\0.76x = 15.2\\\\x = \frac{15.2}{0.76}\\\\x = 20[/tex]
Thus there were 20 pounds of seed in bag originally
Final answer:
The original weight of the seed bag is calculated by setting up a proportion comparing 76% to 15.2 pounds and 100% to the original weight, leading to the solution of 20 pounds.
Explanation:
To determine the original weight of the bag of seed, we need to calculate what 100% would represent if 15.2 pounds is what remains after using 24% of the bag. This means that 76% (100% - 24%) of the seed bag is equal to 15.2 pounds. We can set up a proportion where 76% is to 15.2 pounds, as 100% is to X pounds (where X represents the original weight).
The equation is 76/100 = 15.2/X. To solve for X, we multiply both sides by X and divide both sides by 76 to isolate X on one side of the equation, which gives us X = (15.2 * 100) / 76. After calculating, we find that the original weight (X) of the bag is 20 pounds.
What is the simplest form for 28 out of 32
Answer:
Ans = 7/8
Step-by-step explanation:
28 out of 32
= 28/32
Dividing through by 4
= 28/4 / 32/4
= 7/8
3 What is the y-intercept of the line perpendicular to the line y = -3/4x + 5 that includes the point (-3, –3)?
The y-intercept of the line perpendicular to y = -3/4x + 5, passing through the point (-3, -3), is 1. This is found by first determining the slope to be 4/3, and then using the point-slope form equation to solve for the y-intercept when x is zero.
To find the y-intercept of the line perpendicular to the line y = -3/4x + 5 that passes through the point (-3, –3), we must first determine the slope of the perpendicular line. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of the perpendicular line would be 4/3 (since the negative reciprocal of -3/4 is 4/3).
Next, we can use the point-slope form of the equation of a line to find the equation of the perpendicular line. The point-slope formula is y – y1 = m(x – x1), where (x1, y1) is a point on the line and m is the slope of the line. Substituting the given point and the slope into the formula, we get y – (–3) = 4/3(x – (–3)), which simplifies to y + 3 = 4/3(x + 3).
To find the y-intercept, set x to 0 and solve for y. Doing so, we obtain y + 3 = 4/3(0 + 3), or y + 3 = 4. Subtracting 3 from both sides, we find the y-intercept to be y = 1.
Which expression is not equivalent to the other expressions?
-6(2x -4)
-(12x -6) +18
-3(4x -3) +15
-4(3x +6)
-4(3x + 6) is not equivalent to other expressions
Solution:
Let us use the distributive property to get the equivalent expression
Distributive property is represented as:
a(b + c) = ab + ac
First expression:[tex]-6(2x - 4) = (-6 \times 2x) + (-6 \times -4) = -12x + 24[/tex]
Second expression:Using distributive property,
[tex]-(12x - 6) + 18 = -12x + 6 + 18 = -12x + 24[/tex]
Third expression:Solve the expression using distributive property
[tex]-3(4x-3) + 15 = ((-3 \times 4x)+(-3 \times -3)) \\\\-3(4x-3) + 15= -12x + 9 + 15 \\\\-3(4x-3) + 15=-12x + 24[/tex]
Fourth expression:[tex]-4(3x + 6)= -4 \times 3x + -4 \times 6\\\\-4(3x + 6)= -12x -24[/tex]
Thus fourth expression is not equivalent to other expressions
The area of the base is 34 cm². The height is 7 cm. What is the volume.
Answer:
238cm³
Step-by-step explanation:
Final answer:
To calculate the volume, multiply the given area of the base (34 cm²) by the given height (7 cm) to obtain a volume of 238 cm³.
Explanation:
The question pertains to finding the volume of a three-dimensional object. Given the area of the base of the object is 34 cm² and the height is 7 cm, the volume V can be calculated using the formula V = area of base × height.
To solve, we simply multiply the area of the base by the height:
V = 34 cm² × 7 cm = 238 cm³.
The volume of the object is therefore 238 cm³.
Explain why the equation 5(2x+1)-2=6x+5 has only one solution. Then find the solution.
Answer:
10x + 3 = 6x + 5
Based on this, we have the lines y=10x+3 and y=6x+5. Both of the equations are linear, so they are straight lines when graphed. A system of straight lines can only have one solution maximum.
Solution:
x = 1/2
y = 8
(1/2 , 8)
Step-by-step explanation:
Start by expanding with the distributive property, then simplify by collecting like terms.
5(2x + 1) - 2 = 6x + 5 Multiply "5" with each term in the brackets.
10x + 5 - 2 = 6x + 5 Collect left side's like terms (5 - 2 = 3)
10x + 3 = 6x + 5
Based on this, we have the lines y=10x+3 and y=6x+5. A solution is the same as the POI (point of intersection). Both of the equations are linear, so they are straight lines when graphed. A system of straight lines can only have one solution maximum.
Some linear systems might have no solutions (when the lines are parallel) or infinite solutions (when the lines are equivalent, the same).
To find the solution, continue with the equation and isolate "x". This will give you the x-coordinate of the point of intersection.
To isolate 'x', move everything to the other side of 'x'. To move something, you do its reverse operation to both sides in reverse BEDMAS order.
10x + 3 = 6x + 5
10x - 6x + 3 = 6x - 6x + 5 Subtract 6x from both sides
4x + 3 = 5 "6x" cancelled out on the right. Simplified left (10x-6x=4x)
4x + 3 - 3 = 5 - 3 Subtract 3 on both sides. "3" on the left will cancel out
4x = 2 The right side was simplified (5 - 3 = 2).
4x/4 = 2/4 Divide both sides by 4 to isolate 'x'. Simplify right side.
x = 1/2 Solution's x-coordinate
Substitute what you found for 'x' into any equation that has 'y' (either y=10x+3 or y=6x+5). I will choose the first equation.
y = 10x + 3
y = 10(1/2) + 3 Multiply 1/2 and 10
y = 5 + 3 Add
y = 8 Solution's y-coordinate
Therefore the solution is when x=1/2 and y=8, or as an ordered pair, (1/2 , 8).
Which is a linear function?
•{(-2,6), (-1,3), (0,0), (1, -3), (2,-6)}
•{(-6,6)(-3, 3), (0,0), (3, 3), (6,6)}
• {(-2,6), (-1,3), (0, 2), (1, 3), (2,6)}
• {(6,-2), (6,-1), (6,0), (6,1), (6,2)}
Answer:
•{(-2,6), (-1,3), (0,0), (1, -3), (2,-6)}
Step-by-step explanation:
Graph the function f(x)=5−1.5x
The function f(x) = 5 - 1.5x can be graphed by calculating the y values for a set of x-values, plotting these points, and drawing a straight line that connects them, as it is a linear function with a slope of -1.5.
Explanation:To graph the function f(x) = 5 - 1.5x, we can start by finding values for x and calculating the corresponding y-values. For instance, when x = 0, f(x) = 5 - 1.5*0 = 5. When x = 1, f(x) = 5-1.5*1 = 3.5. So, we can plot these points (0,5) and (1,3.5) respectively.
Next, because this is a linear function (it has the form y = mx + b), these points should form a straight line. Simply draw a line that passes through these points. Further, this function has a negative slope of -1.5 which means the line should be falling as it moves from left to right.
The x-axis and the y-axis must be labelled distinctly and the scale should be defined according to the maximum and minimum values of x and y observed.
Note: Without any restrictions on the domain mentioned, we assume that x is a real number and therefore, the graph stretches infinitely in both directions.
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