The rose bush will be 60 inches tall after 40 weeks
Calculating heightFrom the question, we are to calculate how tall the rose bush would have grown in 40 weeks
From the given information,
"A rose bush grows at a rate of 1.5 inches per week"
To calculate how tall the rose bush would have grown in 40 weeks, we will multiply the rate at which the bush grows by 40
That is,
1.5 × 40
= 60 inches
Hence, the rose bush will be 60 inches tall after 40 weeks
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20 points! Write a rule for solving equations like 2x=24 without using models. Use related division sentence to explain your answer.
Answer:
12
Step-by-step explanation:
24/2=12
An insurance provider states that their customers save at least, on average, 300 dollars per year by switching to them, with a standard deviation of 150 dollars. Before we decide to switch to the new company and go through all of the hassle, we want to test the claim. So, we go out and sample 64 individuals who switched to the new insurance company and found them to have saved an average of 255 dollars per year. Do we have enough evidence at the α = 0.05 level to state that the insurance provider is false in their claim? Discussion Prompts Answer the following questions in your initial post: What are the hypotheses based on the words given in the problem? Should we use a Z or T distribution in this case? What is our Z or T statistic? What is the P-value? Based on your p-value and alpha, what conclusion will we make? Based on your results, would you switch to this company? Explain why or why not (Note: this can go beyond the use of statistics, but statistical analysis can help our decisions)
The solution to the question is mathematically given as
1)
H0: M \(\geqslant\) 300
H0: M \(\geqslant\) 300
2)
Z distribution.
3)
z=-2.4
4)
P=0.0082
5)
"H0" is rejected as a hypothesis with a level of significance of 0.05.
What is the hypothesis ?Generally, the equation for is mathematically given as
Solutions
we have, \($u=300$$$\begin{aligned}& \sigma=150 \text { dollars } \\N &=64 \text { individuals } \\\bar{x} &=255 \text { dollare. } \\a=& 0.05 .\end{aligned}\)
(1):
H0: M \(\geqslant\) 300 dollars; customers save at least 300 dollars per year by switching to them.
H0: M \(\geqslant\) 300 dollars:
(This is a left-tailed test)
(2):
when \(\sigma\) is known, we use the Z test. we use Z distribution.
(3):
\(\begin{gathered}z=\frac{\bar{x}-\mu}{6 / \sqrt{n}}=\frac{255-300}{150 / \sqrt{64}}=\frac{-45}{18.75}=-2.4 \\z=-2.4\end{gathered}\)
(4):
\(Pvalue $=P(z < -2 \cdot 4)$ $=0.0082 \quad\{$ wing $z$ tables $\}$ \\\\\text { Pvalue }=0.0082\)
(5):
In conclusion, Since p-value = 0·0082 <0.05
This is statistically significant at the 0.05 level.
We thus "Refect H0" using a threshold of significance of 0.05.
"H0" is rejected as a hypothesis with a level of significance of 0.05.
There is not enough data to support the assertion that consumers may save at least $300 annually by switching insurance providers.
Therefore, we would not consider making the transition to this firm.
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You must use the methods/techniques taught in this course. All end behaviors must be clear and shown. If a function continues, use an arrow to show that. If it does not, use either the applicable open or closed circle to indicate the function stops at that point.
Given the function: f(x)=-√(x+2)+3
Say what the parameters changes are (a, h, and v); and describe how they transform the given function in relation to the parent function. (3 points)
When \(x\) approaches infinity, the function's graph moves closer to the x-axis and horizontal equilibrium point at \(y = 3\). For \(x -2\), which is denoted by such an open ring at \((-2, 3)\) on the graph, the function is undefined.
What is a graph, exactly?A graphs is a pictorial display or diagram that displays facts or numbers in an organized way in math. The relationships between multiple things are frequently represented by the points on a graph.
How is a graph created?The graph is a mathematics structure made up of a collection of points Coordinates and a set of lines connecting some pairs of VERTICES that may or may not be empty. There is a chance that the edges will be directed, or orientated.
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Hi can you please tell me the answe to this question its due in a few mins. Thank you so much!!
Answer:
LNO I BELIEVE
Step-by-step explanation:
IT MAKES THE SAME SHAPE THAT NMO MAKES
Please help me to do this i really need it.
First correct Answer gets Brainliest.
Answer:
Step-by-step explanation:
-3≤ x = graph 6
-3 > x = graph 3
x≥ 3 = graph 2
x ≤ 3 = graph 4
3 > x = graph 1
x > 3 = graph 5
the closed circles means greater/less than or equal to
the open circle means greater/less than
the direction of the arrow tells you if the number is greater than x or less than x
A charity is raising money by selling two thousand raffle tickets for $2 each. There is one grand prize worth $500, three secondary prizes worth $200 each, and eight third level prizes worth $20 each. What is the expected value of a $2 ticket? Answer is negative $1.358 but how do you calculate that?
The expected value of a $2 ticket is $0.63
How to determine the expected value of a $2 ticketTo calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:
The Probability of winning the grand prize = 1/2000
Product: (1/2000) x $500 = $0.25
The Probability of winning a secondary prize: 3/2000
Product: (3/2000) x $200 = $0.30
The Probability of winning a third level prize: 8/2000
Product: (8/2000) x $20 = $0.08
The sum of the products:
$0.25 + $0.30 + $0.08 = $0.63
So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.
The charity is expected to make a profit, which is why the answer is negative.
That is -$2 + $0.63 = -$1.37
So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)
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pleaseee someone helppp mee
Answer:
gftfyuoppoiu7644wqqettuiopouytrewesdffhjklju
Step-by-step explanation:
gffggghhhjjklliigg
Step-by-step explanation:
can u translate to English please, if not I can't understand
Find the simple interest rate in dollars due on a 33 day loan of $650 if the simple interest rate is 3.1 round to the nearest cent use 360 days in one year
1. We are given that :
• loan = $650
,• For 33 days , interest = 3.1%
,• to use 360 days a year
2. Calculate the simple interest rate :
Interest = (650 * 33*3.1)/ 100 *360
=66495/36000
=1.847
≈$1.85 ...( rounded off to the nearest cent)
This means that the interest due on a 33 day loan of $650 will be $1.85.You measure 48 backpacks' weights, and find they have a mean weight of 70 ounces. Assume the population standard deviation is 6.4 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight.
Give your answers as decimals, to two places
The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.
To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).
Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.
Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:
Confidence Interval = 70 ± (2.576 * 6.4 / √48).
Simplifying the expression, we get:
Confidence Interval ≈ 70 ± 1.855.
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The equation that represents ⨀A is (x+1)2+(y−1)2=16. Determine whether point B(3,1) is on the circle.
Answer:
Step-by-step explanation:
center=(-1,1)
radius=√16=4
distance between (-1,1) and (3,1)=√[(3+1)²+(1-1)²]=√[16+0]=√16=4=radius
Hence point lies on the circle.
7,455.62 The 5 in the tens place is ________ the value of the 5 in the ones place. 100x
1/100
10x
1/10
Answer:
C
10 Times as much
Step-by-step explanation:
I mean if if you look at 50 and 5, and you're comparing them. It kinda looks like 5 x 10 = 50. So 50 is 10 times as much as 5.
Answer:
1/10
Step-by-step explanation:
The radius of a circular disk is given as 15 cm with a maximum error in measurement of 0.28 cm.(a) Use differentials to estimate the maximum error in the calculated area of the disk. (Round your answer to two decimal places.).................. cm2(b) What is the relative error? (Round your answer to four decimal places.).....................What is the percentage error? (Round your answer to two decimal places.)................ %
The maximum error in the calculated area of the disk is 26.39 cm². The percentage error is 3.73%. (Round your answer to two decimal places.)
The radius of a circular disk is given as 15 cm with a maximum error in measurement of 0.28 cm.
Use differentials to estimate the maximum error in the calculated area of the disk.
We know that the formula for the area of a circle is given by:
A = πr²
where r is the radius of the circle.
Using differentials, we have:
dA = 2πrdr
Substituting the given values:
r = 15 cm and dr = 0.28 cmdA = 2π(15)(0.28)dA ≈ 26.39 cm²
Therefore, the maximum error in the calculated area of the disk is 26.39 cm².
The relative error is given by the formula:
Relative error = (Error in measurement / Actual value) × 100%
The actual value of the area of the disk is given by:
A = π(15)²A = 706.86 cm²
Substituting the values we calculated earlier, we have:
Relative error = (26.39 / 706.86) × 100%
Relative error ≈ 3.73%
Therefore, the relative error is approximately 3.73%.
The percentage error is the same as the relative error, which is 3.73%.
Therefore, the percentage error is 3.73%.
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What is the slope of line a?
Given:
The graph of a line a.
To find:
The slope of the line a.
Solution:
Slope formula:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
From the given graph it is clear that the line a passes through the points (-1,1) and (0,-2). So, the slope of the line a is:
\(m=\dfrac{-2-1}{0-(-1)}\)
\(m=\dfrac{-3}{1}\)
\(m=-3\)
The slope of the line a is -3. Therefore, the correct option is C.
Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
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can someone help me i really don't want to fail class
let's firstly convert the mixed fractions to improper fractions and then add/subtract.
\(\stackrel{mixed}{8\frac{1}{3}}\implies \cfrac{8\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{25}{3}}~\hfill \stackrel{mixed}{7\frac{1}{5}}\implies \cfrac{7\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{36}{5}} \\\\[-0.35em] ~\dotfill\\\\ 8\frac{1}{3}~~ +~~\left( -7\frac{1}{5} \right)\implies \cfrac{25}{3}+\left( -\cfrac{36}{5} \right)\implies \cfrac{25}{3}-\cfrac{36}{5}\implies \stackrel{\textit{using }\stackrel{LCD}{15}}{\cfrac{(5)(25)~-~(3)(36)}{15}}\)
\(\cfrac{125-108}{15}\implies \cfrac{17}{15}\implies \stackrel{\mathbb{POSITIVE}}{1\frac{2}{15}}\)
please answer it's easy
Answer:
did not see that coming
Step-by-step explanation:
Got rickrolled
10. The product of 6 and a number when added to 5 is equal to 1 less than 9 times the number.
Answer:
x = 2
Step-by-step explanation:
Hello!
Let the unknown number be x. The product of 6 and that number can be represented by 6x. And since we are adding 5, we can use 6x + 5 to represent that expression.
This equation is equal to the difference of 9x and 1, or 9x - 1.
Solve for x6x + 5 = 9x - 15 = 3x - 16 = 2x2 = xThe value of x is 2.
Solve by elimination.
Answer: \((-1, 4)\)
Step-by-step explanation:
Do not have time
The students at Britney's school voted for a new school color. 20% of the students voted for green. If there are 585 students in Britney's school, how many students voted for green?
Answer:
117
Step-by-step explanation:
20% = 1/5
585 x 1/5 = 117!
Select the statement that correctly describes the solution to this system of equations.4x+y=82x-3y=4A.There is no solution B.There are infinitely many solutions C.There is exactly one solution at (2,0)D.There is exactly one solution at (0,2)
In order to solve this system of linear equations, we just have to isolate one of the variables in one of the equations, then replace it into the other equation and solve for one of the variables, like this:
By taking the first equation and solveing for y, we get:
4x + y = 8
4x - 4x + y = 8 - 4x
0 + y = 8 - 4x
y = 8 - 4x
Now, let's replace 8 - 4x for y into the second equation:
2x - 3y = 4
2x - 3×(8 - 4x) = 4
2x - 3 ×8 - 3×4x = 4
2x - 24 + 12x = 4
Now combine like terms and solve for x:
2x + 12x - 24 = 4
14x - 24 = 4
14x - 24 + 24 = 4 + 24
14x = 28
14x/14 = 28/14
x = 2
Now that we know the value of x, we can replace it into y = 8 - 4x to get the value of y, like this:
y = 8 - 4×2
y = 8 - 8 = 0
Then, y equals 0.
Since these equations are independent of each other we can say that there is exactly one solution, and that is (2,0), the correct answer is option C
What is the missing term in this arithmetic sequence? 9, 14, 19, __, 29, 34, …
Answer: 24 because you add 5 for every number ex: 9+5=14
Answer:
24
Step-by-step explanation:
The difference can be calculated by subtracting the second term with the first term.
d = 14 - 9
d = 5
The difference is 5.
Add 5 to 19.
19 + 5 = 24
helppp it's urgent and I don't understand dhow to do this please.
Answer:
i) Consecutive interior angles
ii) Supplementary angles
iii) The two oars are parallel by consecutive interior angles theorem
Step-by-step explanation:
i) m∠1 and m∠2 lie between two line and on the same side of the line passing through the two lines. Therefore, they are consecutive interior angles
ii)x = 10
m∠1 = 6x + 18
= 6(10) + 18
= 60 + 18
= 78
m∠2 = 9x + 12
= 9(10) + 12
= 90 + 12
= 102
m∠1 + m∠2 = 72 + 108 = 180
Since m∠1 and m∠2 add to 180, they are supplementary angles.
iii) The two oars are parallel
consecutive interior angle theorem:
If a transversal cuts through two line and the consecutive interior angles are supplimentary, then the two lines are parallel
Can someone help me on 3-6?
Directions: Find the volume of each figure. Round the nearest hundredth.
Using the formula of volume of a sphere and hemisphere, the volume of the figures are given as;
1. 2144.57 m³
2. 696.6 m³
3. 20569.1m³
4. 2637ft³
5. 56.5km³
6. 6381.79 in³
What is volume of sphere?The volume of a sphere is given as 4/3πr³
Where π is a constant whose value is equal to 3.14 approximately. “r” is the radius of the hemisphere.
1. The volume of the sphere is;
v = 4/3 * 3.14 * 8³ = 2144.57m³
2. The volume of the sphere is;
v = 4/3 * 3.14 * (11/2)³ = 696.6m³
3. The volume of the sphere is;
v = 4/3 * 3.14 * 17³ = 20569.1m³
4. The volume of the hemisphere is;
v = 2/3 * 3.14 * 10.8³ = 2637ft³
5. The volume of the hemisphere is;
v = 2/3 * 3.14 * 3³ = 56.5km³
6. The volume of the hemisphere is;
v = 2/3 * 3.14 * (29/2)³ = 6381.79in³
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Divide. −5 1/3÷2 3/4
Answer:
-64/33
Step-by-step explanation:
-5 1/3 / 2 3/4
-16/3 / 11/4
-16/3 * 4/11
-64/33
let r be a region in quadrant i with centroid (3,5) and area 12 unit square. find the volume of the solid formed when this region is rotated around the y-axis.
The volume of the solid formed when this region is rotated around the y-axis is V = ∫[1,9] π(8 - y/2)² dy cubic units
Volume is a measure of the amount of three-dimensional space that a solid object occupies.
To find the volume of the solid formed when the region is rotated around the y-axis, we need to use the disk method. This involves slicing the solid into thin disks perpendicular to the y-axis and adding up the volumes of all the disks.
Each disk will have a thickness of dy and a radius of x, which can be expressed in terms of y. We can find the radius of each disk by considering the distance between the y-axis and the edge of the region. Since the region is in quadrant i, we know that the edge of the region is at x = 0 (the y-axis) and x = 6 (the right boundary of the region). Therefore, the radius of each disk is given by x = 6 - (y - 5)/2, or equivalently, x = 8 - y/2.
The area of each disk is given by the formula for the area of a circle, A = πr². Substituting our expression for x into this formula, we get
=> A = π(8 - y/2)².
To find the volume of the solid, we need to integrate the area of each disk over the range of y values that covers the region. Since the region has centroid (3,5) and area 12 square units, we know that the region must extend from y = 1 to y = 9. Therefore, the volume of the solid is given by the integral:
V = ∫[1,9] π(8 - y/2)² dy cubic units
Evaluating this integral will give us the volume of the solid formed by rotating the region around the y-axis.
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WILL GIVE BRAINLIEST!!! NEED ASAP IM GETTING TIMED!!!!
Roger can finish his math homework in 6 hours. Trish can finish the same homework in 5 hours. What part of the homework will Roger and Trish finish if they work together for 1 hours?
Roger and Trish can complete 11/30 of the math homework in 1 hour if they work together.
What is an expression?
An expression is a sentence that has at least two numbers/variables and at least one math operation.
According to the given information:
Let the total amount of work in the math homework is 1.
In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work.
If they work together for 1 hour, then the total amount of homework they can finish is the sum of the parts each of them can finish in one hour:
1/6 + 1/5 = 5/30 + 6/30 = 11/30
So together they can finish 11/30 of the homework in one hour.
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How many units away are each of the points from the y-axis?
O 2
O 3
O 4
O 5
PLEASE HURRY
Answer:
A. 2
Step-by-step explanation:
Point A is on the y-axis is y = -2.
-2 is 2 units away from 0, which is the y-axis.
Point B also, on the y-axis, is y = 2.
2 is also 2 units apart from the y-axis, which is y = 0.
Therefore, both points are 2 units away from the y-axis.
Answer:
it is A
Step-by-step explanation:
got it right on edge
Raj is travelling to another country.
He flies for 5 hours at an average speed of 950 km/h on one plane.
He then flies for 6 hours 30 minutes at an average speed of 830 km/h on a second plane.
What is the total distance, in km, he travelled by plane?
Answer:
10145
Step-by-step explanation:
5 times 950 equals 4750
and 6.5 times 830 equals 5395
add first and second value
4750 + 5395 equals 10145
there is no arguing
Answer:
10145 km
Step-by-step explanation:
Time x speed = Distance
5 x 950 = 4750
6.5 x 830 = 5395
add together = 10145
What is the value of 9(4x - 4) when x = 5
Answer:
144
Step-by-step explanation:
plug in 5 where you see the x.
that gives us 9(4(5)-4)
multiply the 4 and the 5 first to get 9(20-4)
and by PEMDAS, we solve the parentheses first so now we have 9(16)
so now just multiply 9x16 to get 144
Step-by-step explanation:
9((4×5)-4)
9(20-4)
9(16)
144
"We should express our emotions in a manner that doesn't hurt others or harm our emotional well-being" Do you agree? Explain with an example. plzz help me I will the best ans brainliest ( and also this is MORAL SCIENCE)
It should be noted that we should express our emotions in a manner that doesn't hurt others. Therefore, the statement is logically true.
What is emotion?Emotion simply means the feeling that's conveyed through our words or actions.
It's important for us to consider others whenever we are doing a particular thing. Therefore, we should express our emotions in a manner that doesn't hurt others.
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