The slope of desired parallel line is undefined.
How to find slope of a line?Given two points \((-4, 3)\) and \((-4, 7)\), we can see that both points have the same x-coordinate, which means that they lie on a vertical line parallel to the y-axis. Since the slope of a vertical line parallel to the y-axis is undefined, we can say that the slope of line m is undefined.
To find the slope of a line that is parallel to line m, we can use the fact that parallel lines have the same slope. Since the slope of line m is undefined, any line parallel to it will also have an undefined slope.
Therefore, the slope of the line that is parallel to line m is undefined.
Learn more about slope at:
brainly.com/question/29184253
#SPJ11
what is the value of 3(6+9) +36 - 1
Answer:
80
Step-by-step explanation:
3(6+9)+36-1
3(15)+36-1
45+36-1
81-1
80
3. Solve for the missing side. A right triangle has three sides one side us 13 inches the other is 12 inches what is the missing side/x (x)
(I think it’s 17)
(Full explanation gets brainliest)
Answer:
x = 5
using Pythagoras Theorem:
a² + b² = c²x² + 12² = 13²x² = 169 - 144x² = 25x = √25x = 5Apply Pythagorean theorem
\(\\ \rm\rightarrowtail x^2=13^2-12^2\)
\(\\ \rm\rightarrowtail x^2=169-144\)
\(\\ \rm\rightarrowtail x^2=25\)
\(\\ \rm\rightarrowtail x=5\)
I give you 35 points, PLS HELP!!
If CD = 8√3, find AE
Answer:
not 35
Step-by-step explanation:
it 18
The price of a house decreased from $400, 000 to $300, 000 in one year. What is the percent decrease?
Solution:
Given that;
The price of a house decreased from $400, 000 to $300, 000 in one year
The difference is
\(\begin{gathered} Old\text{ price }-New\text{ price} \\ 400000-300000=\operatorname{\$}100000 \end{gathered}\)The percentage decrease will be
\(\begin{gathered} \%\text{ decrease}=\frac{difference}{Old\text{ price}}\times100 \\ \%\text{ decrease}=\frac{100000}{400000}\times100=25\% \end{gathered}\)Hence, the percentage decrease is 25%
Please help me on all of these problems i am confused how they correlate
Answer:
Step-by-step explanation:
a) Area is multiplied by the square of the scale factor, so it is (3.1)^2 = 9.61 times larger.
b) Same logic, (1/6)^2 = 1/36
c) correct
d) 3
I NEED HELPPP pleaseeeeeee !!!!!!
Classify the triangle by its sides. The diagram is
not to scale.
A) straight
B) equilateral
C) scalene
D) isosceles
Answer:
D
Step-by-step explanation:
It has 2 equal sides
Answer:
D) Isosceles
Step-by-step explanation:
An isosceles triangle is the triangle that has 2 sides that are the same.
please help me answer the question
You measure 49 turtles' weights, and find they have a mean weight of 68 ounces. Assume the population standard deviation is 4.3 ounces. Based on this, what is the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight.Give your answer as a decimal, to two places±
The maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight is 1.0091 ounces.
Given that: Mean weight of 49 turtles = 68 ounces, Population standard deviation = 4.3 ounces, Confidence level = 90% Formula to calculate the maximal margin of error is:
Maximal margin of error = z * (σ/√n), where z is the z-score of the confidence level σ is the population standard deviation and n is the sample size. Here, the z-score corresponding to the 90% confidence level is 1.645. Using the formula mentioned above, we can find the maximal margin of error. Substituting the given values, we get:
Maximal margin of error = 1.645 * (4.3/√49)
Maximal margin of error = 1.645 * (4.3/7)
Maximal margin of error = 1.645 * 0.61429
Maximal margin of error = 1.0091
Thus, the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight is 1.0091 ounces.
Learn more about margin of error visit:
brainly.com/question/29100795
#SPJ11
The maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight is 0.1346.
The formula for the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight is shown below:
Maximum margin of error = (z-score) * (standard deviation / square root of sample size)
whereas for the 90% confidence level, the z-score is 1.645, given that 0.05 is divided into two tails. We must first convert ounces to decimal form, so 4.3 ounces will become 0.2709 after being converted to a decimal standard deviation. In addition, since there are 49 turtle weights in the sample, the sample size (n) is equal to 49. By plugging these values into the above formula, we can find the maximal margin of error as follows:
Maximal margin of error = 1.645 * (0.2709 / √49) = 0.1346.
Therefore, the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight is 0.1346.
Learn more about margin of error visit:
brainly.com/question/29100795
#SPJ11
what is the slope of the line
Answer:
2/3
Step-by-step explanation:
Slope = (-1-(-3))/(3-0) = 2/3
Answer:
slope = 2/3
Step-by-step explanation:
equation: y = x2/3 -3
Mr. Nice's backyard has an area of 225 square feet. What is the length of one side of his backyard?
A.13 feet
B.14 feet
C.15 feet
D.16 feet
C. 15 feet
Step-by-step explanation:Area formula
A = l²
225 = l²
l = √225
l = √15²
l = 15 feet
Help please, also provide work
Answer:
9) 128
10) 78
11) 31
12) 148
Step-by-step explanation:
9) we know that the segment across from the angle 48° is double the angle.
48 · 2 = 96
The segments around the circle should all add up to 360 so we add the two segments we know to find the unknown segment.
136 + 96 = 232
360 - 232 = 128
The answer for 9 is 128.
10)
61 + 80 = 141
180 - 141 = 39
39 * 2 = 78
The answer for question 10 is 78.
11)
236 + 62 = 298
360 - 298 = 62
62 ÷ 2 = 31
The answer for question 11 is 31.
12)
50 · 2 = 100
100 + 112 = 212
360 - 212 = 148
The answer for question 12 is 148.
Your friend claims that the only solution to the equation sin(x)=1 is x=90 degrees. Is your friend correct? If there are more solutions, explain how to determine additional solutions.
Answer:
see below
Step-by-step explanation:
sin(x)=1
Take the inverse sin of each side
sin ^ -1(sin(x))=sin ^-1(1)
x =90 + 360n where n is an integer
We can go around the unit circle and find more solutions
When x = 450, sin 450 = 1
When x = -270, sin (-270) = 1
HELP PLEASE solve for x and round to the nearest tenth
Answer:
11.03377918, which is 11.0 if rounded
Step-by-step explanation:
Since We have a leg and an angle we should use a trig
Soh cah toa
According to the angle we have opposite and we are looking for hypotenuse
meaning we'll need sin(X)
sin(x) = o/h sin(65) = 10/x x = 11.03377918
What is the distance between (-5, -5)(−5,−5)left parenthesis, minus, 5, comma, minus, 5, right parenthesis and (-9, -2)(−9,−2)left parenthesis, minus, 9, comma, minus, 2, right parenthesis?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
555
(Choice B)
B
777
(Choice C)
C
\sqrt{12}
12
square root of, 12, end square root
(Choice D)
D
\sqrt{29}
29
Based on the calculations, the distance between points (-5, -5) and (-9, -2) on a coordinate plane is equal to: A. 5 units.
How to calculate the distance on coordinates?Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Given the following points:
Points on the x-axis = (-5, -5).Points on the y-axis = (-9, -2).Substituting the given points into the formula, we have;
Distance = √[(-2 - (-5))² + (-9 - (-5))²]
Distance = √[(-2 + 5)² + (-9 + 5)²]
Distance = √[3² + 4²]
Distance = √[9 + 16]
Distance = √25
Distance = 5 units.
In conclusion, we can logically deduce that the distance between the given points on a coordinate plane is 5 units.
Read more on distance here: brainly.com/question/12470464
#SPJ1
Complete Question:
What is the distance between (-5, -5) and (-9, -2?
Choose 1 answer:
A. 5
B. 7
C. √12
D. √29
Seven pizzas require 3 bags of cheese.How many bags of cheese are needed to make 21 pizzas?
Answer:
12 Bags of Cheese
Step-by-step explanation:
7 Pizza = 3 Bags
( ) 3 = 21
21 pizza's= 12 Bags
What is the vertex of 2(n+9)(n-6)
Answer:
(-1.5, -112.5)
Step-by-step explanation:
f(n) = 2(n + 9)(n - 6) = 0
n = -9, n = 6
½(6 - (-9)) = ½(15) = 7.5
-9 + 7.5 = -1.5
f(-1.5) = 2(-1.5 + 9)(-1.5 - 6)
= 2(7.5)(-7.5)
= -(15 × 7.5)
= -(75 + 37.5)
= - 112.5
A skateboard halfpipe is being designed for a competition. the halfpipe will be in the shape of a parabola and will be positioned above the ground such that its focus is 30 ft above the ground. using the ground as the x-axis, where should the base of the halfpipe be positioned? which equation best describes the equation of the halfpipe?
The equation of parabola is given by
(X-h)^2 = 4p(Y-k)^2
2p = 30 - 0
p = 15
4p = 4 × 15
= 60
In this case h = 0
So, we have (h,p) = (0,15)
So we get
We have equation: x^2 = 60(y-15)
y = x^2 / 60 + 15
What is a parabola?A parabola is nothing but a U-shaped plane curve. Any point on the parabola is equidistant from a fixed point called the focus and a fixed straight line known as the directrix. The general equation of a parabola is: y = a(x-h)2 + k or x = a(y-k)2 +h, where (h,k) denotes the vertex. The standard equation of a regular parabola is y2 = 4ax. Some of the important terms below are helpful to understand the features and parts of a parabola. Focus: The point (a, 0) is the focus of the parabola.
To learn more about parabola from the given link
https://brainly.com/question/4061870
#SPJ4
(3.6×10−5)÷(9×10−7) in Standard Form
Answer: 31/83 (decimal form 0.373494)
Step-by-step explanation:
Can somebody help me. Will Mark brainliest.
Answer:
Step-by-step explanation:
cos(x) = 21/38
x = arccos(21/38) ≅ 56°
How many whole numbers are there with not more than 4 digits IF YOU PUT A LINK OR UNHELPFUL ANSWER I WILL REPORT I WILL GIVE BRAINLIEST
Answer:
There are 9,999 positive whole numbers with 4 or less digits or less and one whole number which is neither positive nor negative.
This gives us 9,999+9,999+1 or 19,999 , whole numbers composed of 4 digits or less.
2x=8
so find the value of x
Answer:
x = 4
Step-by-step explanation:
2x/2 = 8/2
x =4
What is the simplified form of 400x100 ?
O 200x10
O 200x50
O 20x10
O 20x50
Answer:
√400 x √100 = 40,000
√40,000 = 200
So your answer is 200 x 10.
Hope this Helps!!
Step-by-step explanation:
The value of the simplified form is,
⇒ 20 x¹⁰
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
√ 400 x¹⁰⁰
Now, We can simplify as;
⇒ √ 400 x¹⁰⁰
⇒ 20 x¹⁰
Thus, The value of the simplified form is,
⇒ 20 x¹⁰
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ5
round to the nearest tenth 23.459
23.459
/\
|
This is the tenths spot
23.5 since 5 rounds up the 4
---
hope it helps
the question is: water pours into a conical tank that is 10 meters in height and has a radius of 4 meters at a rate of 6m^3/min. find the rate the water level is rising when the level is 5 meters high.
The rate at which the water level is rising when it is 5 meters high is approximately 0.477 m/min
The volume of a conical tank:
V = (1/3)πr^2h
where V is the volume of the tank, r is the radius, and h is the height.
Differentiating both sides with respect to time, we get:
dV/dt = (1/3)π(2rh dr/dt + r^2 dh/dt)
Where dV/dt is the rate at which the volume is changing (in m^3/min), and dr/dt and dh/dt are the rates at which the radius and height are changing, respectively.
We know that water is pouring into the tank at a rate of 6m^3/min, so we can substitute this value for dV/dt. We also know that the height of the water level is rising, so dh/dt is what we need to find. Finally, we know that when the water level is 5 meters high, the radius of the water surface can be found using similar triangles:
r/h = 4/10
r = (4/10)h = 0.4h
Now we can substitute all of these values into the formula and solve for dh/dt:
6 = (1/3)π(2(0.4h)(dh/dt) + (0.4h)^2 dh/dt)
6 = (1/3)π(0.8h + 0.16h^2) dh/dt
dh/dt = 6 / [(1/3)π(0.8h + 0.16h^2)]
When the water level is 5 meters high, h = 5, so:
dh/dt = 6 / [(1/3)π(0.8(5) + 0.16(5)^2)]
dh/dt = 0.477m/min
Therefore, the rate at which the water level rises when it is 5 meters high is approximately 0.477 m/min.
Learn more about volume
https://brainly.com/question/29218467
#SPJ11
Please could someone help me with this question
Answer:
The answer for a) is 2/5 and the answer for b) is 2/5.
Step-by-step explanation:
a) 8/20
then divide both numbers with 2 = 4/10.
again divide both numbers by 2 = 2/5.
So, the answer for (a) is 2/5.
b) 12/30
Again it can divide by 2 = 6/15.
now, you can divide both numbers with 3 = 2/5.
So, the answer for (b) is also 2/5.
3. according to the statistical abstract of the united states, in 2007, approximately 43% of sixth grade students reported being bullied at school. due to increased education and outreach, educators are convinced that the proportion of students being bullied at school has decreased. in a recent random sample of 75 sixth grade students, 30 responded that they experienced bullying at school. at the 5% level of significance, what can you conclude?
We do not have enough evidence to conclude that the proportion of students being bullied at school has decreased at a 5% level of significance.
Hypothesis testing:
Hypothesis testing is a statistical method used to determine whether a hypothesis about a population parameter is supported by the data. In this case, the hypothesis is that the proportion of students being bullied at school has decreased.
One-sample proportion test:The one-sample proportion test is a type of hypothesis test used to determine whether a proportion in a sample is significantly different from a known population proportion.
In this case, we are testing whether the proportion of students who reported being bullied in the sample of 75 sixth grade students is significantly different from the population proportion of 43%.
To test whether the proportion of students being bullied at school has decreased, we can use a hypothesis test with the null hypothesis that the proportion is still 0.43 and the alternative hypothesis that the proportion is less than 0.43.
Let p be the true proportion of students being bullied at school, then we have:
H₀ : p = 0.43
Hₐ : p < 0.43 (one-tailed test)
Using the sample data, we can calculate the sample proportion of students who reported being bullied at school:
=> \(\hat{p}\) = 30/75 = 0.4
We can use this to calculate the test statistic:
=> z = ( \(\hat{p}\) - p) / √(p×(1 - p)/n) = (0.4 - 0.43) /√(0.43×0.57/75) = -0.81
At the 5% level of significance with a one-tailed test, the critical z-value is -1.645. Since our calculated test statistic (-0.81) is greater than the critical value, we fail to reject the null hypothesis.
Therefore,
We do not have enough evidence to conclude that the proportion of students being bullied at school has decreased at a 5% level of significance.
Learn more about Hypothesis testing at
https://brainly.com/question/30588452
#SPJ4
Help ASAP
22.41 + 8.9
Answer:
22.41 + 8.9= 31.31
hope this helps <3
The line L1 has an equation r1=<6,4,11>+n<4,2,9> and the line L2 has an equation r2=<−3,10,,2>+m<−5,8,0> Different values of n give different points on line L1. Similarly, different values of m give different points on line L2. If the two lines intersect then r1=r2 at the point of intersection. If you can find values of n and m.which satisfy this condition then the two lines intersect. Show the lines intersect by finding these values n and m hence find the point of intersection. n= ?
The values of n and m that satisfy the condition for intersection are n = -1 and m = -1.
The point of intersection for the lines L1 and L2 is (2, 2, 2).
To find the values of n and m that satisfy the condition for intersection, we need to equate the two equations for r1 and r2:
r1 = <6, 4, 11> + n<4, 2, 9>
r2 = <-3, 10, 2> + m<-5, 8, 0>
Setting the corresponding components equal to each other, we get:
6 + 4n = -3 - 5m --> Equation 1
4 + 2n = 10 + 8m --> Equation 2
11 + 9n = 2 --> Equation 3
Let's solve these equations to find the values of n and m:
From Equation 3, we have:
11 + 9n = 2
9n = 2 - 11
9n = -9
n = -1
Now substitute the value of n into Equation 1:
6 + 4n = -3 - 5m
6 + 4(-1) = -3 - 5m
6 - 4 = -3 - 5m
2 = -3 - 5m
5m = -3 - 2
5m = -5
m = -1
Therefore, the values of n and m that satisfy the condition for intersection are n = -1 and m = -1.
To find the point of intersection, substitute these values back into either of the original equations. Let's use r1:
r1 = <6, 4, 11> + n<4, 2, 9>
= <6, 4, 11> + (-1)<4, 2, 9>
= <6, 4, 11> + <-4, -2, -9>
= <6 - 4, 4 - 2, 11 - 9>
= <2, 2, 2>
Therefore, the point of intersection for the lines L1 and L2 is (2, 2, 2).
Learn more about intersection: https://brainly.com/question/29185601
#SPJ11
What is the first step in evaluating (12.9 – 3.1) × 6.2 – 2 + 43
Answer:
101.76
Step-by-step explanation:
Answer:
(12.9 - 3.1) i'm in middle school so if i can do it you can
Step-by-step explanation: