Answer:
Percent increase was 1.1%Step-by-step explanation:
Step 1Find the price increase in number:
$9.80 - $9.69 = $0.11Step 2Find the percent increase, relevant to initial price:
$0.11/$9.69 × 100% = 1.1% (rounded to the nearest tenth)simplify completely
[tex]\dfrac{x^2+12x+35}{3x+15}=\dfrac{x^2+12x+35}{3(x+5)}=\dfrac{x^2+5x+7x+35}{3(x+5)}=\dfrac{x(x+5)+7(x+5)}{3(x+5)}=\\=\dfrac{(x+5)(x+7)}{3(x+5)}=\dfrac{x+7}{3}[/tex]
Answer:
(x+7) / 3
Step-by-step explanation:
Factorise the Top half to give :
x² + 12x+ 35 = (x+5)(x+7)
Factorise the bottom half to give :
3(x+5)
Cancel (x+5) from top and bottom to give :
(x+7) / 3
So our final answer is Option 3
Hope this helped and have a good day
What proportion could you use to find the value of x
The proportion that could be used to find the value of x is 3/x= x/11
How to determine the proportion?The complete question is added as an attachment
From the attachment, the common side length between both right triangles is x
While the other sides are adjacent sides.
This means that the proportion is:
3/x= x/11
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Please help
Which box is in the wrong spot?
The only wrong spot would be box 1 because the graph is not decreasing over the longest interval.
How to interpret the y-intercept of graphs?In the first graph, we see that the y-intercept which is the point where the curve crosses the y-axis is at y = -1. However, the interval for which it is decreasing is from x = -1 to x = 0.5.
For the second table, we see that the y-intercept is -1 and that as values of x keeps increasing, g(x) becomes more negative. Thus, it is decreasing on the longest interval.
For the third function which is;
h(x) = 3 + 4x³
The y-intercept is 3.
However, the higher the value of x, the greater the function.
Thus, the only wrong spot would be box 1 because the graph is not decreasing over the longest interval.
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factorizacion de x^4+12x^3-64x^2=0
Hello,
x⁴ + 12x³ - 64x² = 0
x²(x² + 12x - 64) = 0
x² = 0 or x² + 12x - 64 = 0
x = 0
∆ = b² - 4ac = 12² - 4 × 1 × (-64) = 400
x1 = (-b -√∆)/2a = (-12 - 20)/2 = -32/2 = -16
x2 = (-b + √∆)/2a = (-12 + 20)/2 = 8/2 = 4
S = {-16 ; 0 ; 4 }
→ factorizacion de x⁴ + 12x³ - 64x² : x(x - 4)(x + 16)
of 5
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Krutika can type 6000 words in 80 minutes.
Mark can type 4200 in 60 minutes.
David can type 5850 words in 90 minutes.
Who types at the fastest rate of words per minute
Answer:
Krutika
Step-by-step explanation:
Lets convert each person's typing rate to words/min.
Krutika:
80 minutes = 6000 words
1 minute = (6000/80) words
= 75 words
Typing Rate: 75 words / min
Mark:
60 minutes = 4200 words
1 minute = (4200/60) words
= 70 words
Typing Rate: 70 words / min
David:
90 minutes = 5850 words
1 minute = (5850/90) words
= 65 words
Typing Rate: 65 words / min
From the above, we can see Krutika has the fastest rate of words per minute.
Please help sorry for the bad picture
Answer:
70°
Step-by-step explanation:
Due to the fact that the angle is on a straight line, therefore the angle(110°) is equal the inside/opposite to the angle(q°):
q°=180°(since it's on a straight line) -110°
q°= 70°
Which value is included in the solution set for the inequality graphed on the number line? A number line going from negative 4 to positive 4. An open circle is at negative 2. Everything to the left of the circle is shaded.
The value included in the solution to the given inequality is:
x = -5.
What is the inequality that models this situation?Everything to the left of the circle at x = -2 is shaded, that is, all values less than x = -2, hence the inequality is:
x < -2.
Researching the problem on the internet, the options for the values that belong to the solution are:
-5, -2, 0, 3.
Due to the open circle, -2 is not in the inequality, 0 and 3 are greater than -2, hence they are not in the inequality, then the value included in the solution to the given inequality is:
x = -5.
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Round these numbers as shown.
(i) 0.0975 to 1 d.p
(¡) 58.361 to nearest whole number
(in) 145676 to nearest 1000 (iv) 22567 to nearest 100
Answer:
0.1?
58
146,000?
22600
Step-by-step explanation:
So I assume first is 1st decimal place, so that would be the first after the decimal and then the number after has to be 5 or above, which it is. So then its just 0.1
This is easy, look at the decimal, its below .5, so 58.
Same thing for the rest, just look at the digit before.
In 1996, the price of a rare stamp inclusive of 3% GST was $3500. In 2010, the price of the same stamp
inclusive of 7% GST was 225% higher than that in 1996. Find
(a) the price of the stamp inclusive of GST in 2010,
(b) the amount of GST on the stamp in 2010,
(c) the percentage increase in amount of GST on the stamp from 1996 to 2010.
Based on the price of the stamp in 1996, and the increase in 2010, the following are true:
a. price in 2010 = $7,875.b. amount of GST on the stamp in 2010 = $515.19c. percentage increase in GST from 1996 to 2010 = 405%.How much has the price of the stamp changed in 2010?The price in 2010 was:
= 3,500 x 225/100
= $7,875
The GST in 2010 is:
= (7,875 / 1.07) x 7%
= $515.19
The GST in 1996 is:
= (3,500 / 1.03) x 3%
= $101.94
The increase in the GMT is:
= (515.19 - 101.94) / 101.94
= 405%
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Two poles have a height of 9 m and 2 m, respectively. A
string is used to connect the poles. If the poles are 24 m
apart, what is the minimum length of the string?
Answer:
25
Step-by-step explanation:
The table shows ordered pairs of the function y = 16 + 0.5x .
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0
The missing values represented by x and y are 8 and 20, that is
(x, y) = (8, 20)
The function y = 16 + 0.5x is a linear equation that can be solved graphically. This means the values of both variables x and y can be found on different points along the straight-line graph.
The ordered pairs simply mean for every value of x, there is a corresponding value of y.
The 2-column table has values for x and y which all satisfy the equation y = 16 + 0.5x. Taking the first row, for example, the pair is given as (-4, 14).
This means when x equals negative 4, y equals 14.
Where y = 16 + 0.5x
y = 16 + 0.5(-4)
y = 16 + (-2)
y = 16 - 2
y = 14
Therefore the first pair, just like the other four pairs all satisfy the equation.
Hence, looking at the options given, we can determine which satisfies the equation
(option 1) When x = 0
y = 16 + 0.5(0)
y = 16 + 0
y = 16
(0, 16)
(option 2) When x = 5
y = 16 + 0.5(5)
y = 16 + 2.5
y = 18.5
(5, 18.5)
(option 3) When x = 8
y = 16 + 0.5(8)
y = 16 + 4
y = 20
(8, 20)
From our calculations, the third option (8, 20) is the correct ordered pair that would fill in the missing values x and y.
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Pleaseeeeeee helppppl asap
Answer:
37
Step-by-step explanation:
Let's use the rule GEMDAS (Grouping, Exponents, Multiply, Divide, Add, Subtract) from left to right. Therefore, we will simplify the equation in the parentheses. [tex]2^{3} = 8. (1-8= -7)[/tex]. -(-7) creates a double negative, deeming the 7 positive, because when there is two negatives the number will turn into a positive. [tex]7^{2}[/tex] = 49, -3 x 4= -12. Therefore the final form of the equation will be 49 - 12 = 37.
Let me know if there are mistakes.
Find the measure of each
angle in the isosceles
trapezoid.
D
A
136⁰
B
с
Answer:
b=136, c=44, d=44
Step-by-step explanation:
B is the same measure as A. C = D and A+B+C+D=360; C+D=88; C=44; D=44
In the air, it had an average speed of 16 \text{m/s}m/start text, m, slash, s, end text. In the water, it had an average speed of 33 \text{m/s}m/start text, m, slash, s, end text before hitting the seabed. The total distance from the top of the cliff to the seabed is 127 meters, and the stone's entire fall took 12 seconds.
How long did the stone fall in the air and how long did it fall in the water?
The time taken by the stone to fall in air is 7 seconds and the time taken in water is 5 seconds.
What is Speed?Speed is the distance covered by an object in a fixed period of time. It is measured in m/sec.
The average speed in air is 16m/sec.
The average speed in water is 33m/sec.
The total time taken is 12 seconds.
Total distance covered = Total time taken * speed at which it covered the distance
Let the time taken to fall in air is t
So, the time taken in water will be 12-t
The total distance is equal to
127 = 16*t + 3(12-t)
127 = 16t + 36 - 3t
127 - 36 = 16t - 3t
91 = 13t
t = 91/13 = 7 seconds
12-t = 12-7 =5 seconds
Therefore, the time taken by the stone to fall in air is 7 seconds and the time taken in water is 5 seconds.
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URGENT: Mr. Donaldson drove from his house to Bigfoot, Texas at 70 mph. On his return trip he followed the same route, but since his car wasn't running well, he only averaged 50 mph. If the total round trip took 6 hours, how many hours did it take Mr. Donaldson to drive from his house to Bigfoot?
Answer:
2 hours
Step-by-step explanation:
Because if the total round trip took 6 hours then it mustve taken him 2 hours to drive there at 70mph and 4 hours to drive back at 50mph.
Solve the triangle. A = 52°, b = 10, c = 7 (5 points)
The solutions to this triangle are:
7.944.1 degrees83.7 degreesHow to solve for the triangleUsing the law of cosine we would have
a²=b²+c²-2bc cos A
a² =100+49-2(10)(7)cos 52
This would give us
=149 -140 x (0.6157)
=62.82
We take the square root of 62.82 =
7.93 or 7.9
We have to use the sine law to find the other side
7.9/sin 52=10.057
10.06=7/sin C
such that
sin C = sin(0.6958)
=44.1°
10.06=10/sin B
cross multiply
sin B=10/10.06
= sin⁻¹0.9940
Then B = 83.7°
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If the base area of the square pyramid below is 96 ft² and the height is 8 ft, what is the volume?
Answer:
256 ft^3
Step-by-step explanation:
Volume of pyramid = 1/3 base area * height
= 1/3 96 ft^2 * 8 ft = 256 ft^3
The circumference of a circular garden is 141.3 feet. What is the radius of the garden? Use 3.14 for π and do not round your answer.
Answer:
22.5 feetStep-by-step explanation:
The formula for circumference is 2(3.14)r
So, we divide 141.3 by 6.28 and get 22.5
The radius is 22.5 feet.
Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of minutes. The standard deviation of completion times was minutes. An analyst at the company suspects that, under new management, the mean completion time, , is now less than minutes. To test this claim, a random sample of completion times under new management was taken by the analyst. The sample had a mean of minutes. Assume that the population is normally distributed. Can we support, at the level of significance, the claim that the population mean completion time under new management is less than minutes
No, we don't have evidence to support that the mean completion time under new management has decreased but we can conclude that it remains at 15.5 minutes.
Given mean of 15.5 minutes , standard deviation of 1.7 minutes, sample size of 90 and sample mean of 15.4 minutes.
We can do the following study for conclusion:
Firstly the null hypothesis is
[tex]H_{0}: x=15.5[/tex]
The alternate hypothesis is
[tex]H_{1}: x < 15.5[/tex]
since the value is less than this is a one tailed test.
Z=x bar-x/d/[tex]\sqrt{n}[/tex]
where x is sample mean and d is standard deviation.
Z=15.4-15.5/1.7/[tex]\sqrt{90}[/tex]
=-0.1/1.7/9.4868
=-0.560
Critical value of Z at 0.1 level of significance
Z=-1.28
We fails to reject the null hypothesis since -0.560>-1,28
Hence we don't have evidence to support that the mean completion time under new management has decreased but we can conclude that it remains at 15.5 minutes.
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Question is incomplete. It should include:
mean of 15.5 minutes ,
standard deviation of 1.7 minutes,
sample size of 90
and sample mean of 15.4 minutes.
The circumference of a circle is ________
A.The distance around the circle
B.The length of the radius
C.The length of the diameter
D.2 pi
Answer:
2 22/7 ×r
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On a coordinate plane, quadrilateral J K L M with diagonals is shown. Point J is at (4, 5), point K is at (5, 1), point L is at (1, 2), and point M is at (1, 5).
Which statement proves that quadrilateral JKLM is a kite?
∠M is a right angle and MK bisects ∠LMJ.
LM = JM = 3 and JK = LK = StartRoot 17 EndRoot.
MK intersects LJ at its midpoint.
The slope of MK is –1 and the slope of LJ is 1.
Answer:
MK intersect LJ at midpoint that's my opinion
Answer:
B. LM = JM = 3 and JK = LK = √17.
Step-by-step explanation:
∠M is a right angle and MK bisects ∠LMJ.
LM = JM = 3 and JK = LK = StartRoot 17 EndRoot.
MK intersects LJ at its midpoint.
The slope of MK is –1 and the slope of LJ is 1.
If two noncollinear segments in the coordinate plane have slope 3, what can you conclude?
The linear are said to be parallel.
What is Collinear line?Collinear points are the points that lie on the same straight line or in a single line.
Given:
slope= 3
If two non co-linear segments with a slope of 3 in a coordinate plane, which means that the two line segments are parallel to each.
So, the same slope symbolise the concept of parallel line in same plane.
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PLEASE HURRY!!!!!!!
Ms. Green, a physical education teacher in a middle school, conducted a survey to find out what the favorite athletic activity of the students in the middle school was. she chose every 10th student's name on and alphabetical list of all studentsin the school to make up a sample. Was this a random sample and if so, which sampling method did she use?
A. Yes, she used simple random sampling.
B. Yes, she used systematic random sampling.
C. No, she used stratified random sampling.
D. No, she did not choose a random sample.
Answer:
B. Yes, she used systematic random sampling
Explanation :
Systematic random sampling is method of sampling use in term of finding the the percent of a given population to find the final sample.
help me pleaseeeeeeeeeeeeeeeeee
A
this question did by quadratic formula means x = -b ± √b^ - 4ac / 2a by this formula first arrange the equation -5 x^ + 7 -2 and
a = -5
b = 7
C = -2
after that substitute in the formula
Please solve correctly
Answer:
f(-3) =8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer
f(x) has the same meaning as y. So you could rewrite the question as "What value of x gives y a value of 8"
The graph tells you that x = - 3 when y = 8.
f(-3) = 8
una fracción de reducción a su mínima expresión en igual a 1/8. si la suma de sus terminos es 72. hallar la diferencia entre ellos
Por lo tanto el número es p/q = 8/64.
¿Qué es una fracción?Fracción es un número que se puede representar en forma de p/q, donde q no es igual a cero.
It is given that
En su forma más simple, el número es 1/8
Sea el número p/q
p + q = 72 (dado)
p/q = 1/8
q = 8p
p+8p = 72
9p = 72
p = 8
q = 8p
q = 8 * 8 = 64
Por lo tanto el número es p/q = 8/64.
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HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
[tex] \frac{15}{20} = \frac{x + 2}{12 - x} \\ \\ 180 - 15x = 20x + 40 \\ \\ 35x = 140 \\ \\ x = 4[/tex]
On a statistic exam, a class of 25 students had a mean score 75.2 and a standard deviation of 5.7. using the empirical rule, what would be the range of scores for 95% of the class?
The range of scores for 95% of the class is 63.8 to 86.6 using the empirical rule.
What is the empirical rule?A statistical principle known as the empirical rule, also known as the three-sigma rule or 68-95-99.7 rule, holds that with a normal distribution, almost all observed data will lie within three standard deviations.
The empirical rule specifically states that 68 percent of data will fall inside the first standard deviation, 95 percent will fall within the first two standard deviations, and 99.7 percent will fall within the first three standard deviations.
According to the question,
μ=75.2 and σ=5.7
So, according to the empirical rule, the range of scores for 95% of the class:
μ – 2σ =75.2-2*5.7=63.8
and μ + 2σ=75.2+2*5.7=86.6
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What kind of compound inequality is
x≥-3
and
x<3
?
a. disjunction
b. hole
c. union
d. intersection
[tex]x \geqslant - 3 \: \: \: \: \: \: x < 3[/tex]
Interval 1: x ε [ - 3 , ∞ )Interval 2: x ε ] - ∞ , 3 [Solution: x ε [ - 3 , 3 [d. IntersectionAnswer:
The answer is D intersection
Remember that AND indicates an intersection and OR indicates a union.
Step-by-step explanation:
Solve each inequality and then find the intersection.
Inequality Form: −3≤ x<3
Interval Notation:[−3,3)
A cupcake recipe calls for 1/6 cups of milk, and you have
7/8 cups of milk in the
refrigerator. How many cups of milk will you have remaining after baking the
cupcakes?