Answer:
2.72/3=0.907 (correct to three decimal places)
Step-by-step explanation:
1. A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000. What was the growth rate as a percent for that 5-year period?
Pls help
A. 6.48%
B. 3.34%
C. 5.23%
D. 2.15%
Answer:
The growth rate for the period was of 17.86%.
Step-by-step explanation:
To find the growth rate as a percent, we multiply the change by 100, and divide by the initial value.
A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000.
Change: 132 - 112 = 20
Initial value: 112
Growth rate as a percent:
20*100/112 = 17.86%
The growth rate for the period was of 17.86%.
Answer:b
Step-by-step explanation:
HELP!!!
Scott and Mark are rock climbing.
Scott is at the top of a 75‑foot cliff, when he throws a 96‑foot rope straight down to Mark, who is on the ground directly below.
If the rope is stretched tightly from Mark’s feet to Scott’s feet, how far over from the base of the cliff s Mark standing?
Answer: 59.98
Step-by-step explanation: :)
The distance between them is 59.92 ft
What is Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle.
Given that, a scenario that is making an arrangement of a right-angled triangle, we need to find the base, [refer to the figure attached]
So, here we will use the Pythagoras theorem
75²+base² = 96²
base² = 96²-75²
base = √3591
base = 59.92
Hence, the distance between them is 59.92 ft
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17. Which is M=9pn solved for p? (1 point)
p = M/n p= M-9n. p= 9n/M. p=M/9n
B 56
Step-by-step explanation:
GIVING BRAINLIEST find the slope of the line perpendicular to the line graphed below
Answer:
Step-by-step explanation:
Slope of the line graphed=[tex]\frac{3-0}{0-(-2)}[/tex]
=[tex]\frac{3}{2}[/tex]
The slope of the line perpendicular to the line graphed = -[tex]\frac{2}{3}[/tex]
Arrange to Least to Greatest:
1.4, 0, 0.14, 1/4, 1, -1/4
___
H is the midpoint of IJ and IH = 0.75 find HJ
In the figure, △XYZ ≅ △MNL.
Find m∠Z.
Answer:
m∠Z= 23°
Step-by-step explanation:
if they're equal, as are their angles
124°+33°= 157°
180°-157°= 23°
m∠Z = 23°
The triangles are congruent. Therefore,
ΔXYZ ≅ ΔMNL
∠Y ≅ ∠N
Therefore,
∠Y = 124°
Sum of angles in a triangle = 180°
33 + 124 + m∠Z = 180°
157 + m∠Z = 180°
m∠Z = 180 - 157
m∠Z = 23°
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how can I learn to understand it more
Step-by-step explanation:
Well if you dont understand something ask a teacher for help or study on a topic that you struggle with for example math try looking up different math questions and solving them or ask a teacher is you can have pratice questions or problems then show it to him/her so they can check to see if you are right. Hope that help unless you dont understand a certain question that I might have missed.
12.5(7) + 11.9(8)=?
Answer:the answer is 182.7
Step-by-step explanation:brainliest please Sans Undertale out
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A circle of a radius r,cm inside a square, so that the circle touches the sides of the square.
a) calculate the area of the shaded region when r=6
Answer:
30.9 square cm
Step-by-step explanation:
subtract area of circle from area of square
Area of square = 12² or 144
(each side is twice the radius)
Area of circle = 6²π or 113.1
Evaluate the expression 7'2/x'2-2 for X=3
Answer:
7
Step-by-step explanation:
7²÷3²-2 = 49/9-2 =49/7 =7
Enter the unknown value that makes this statement true.
60 is
% of 80
Answer:
Step-by-step explanation:
60 = x% of 80
x% = 60/80 = 0.75 = 75%
Solve for x in equation x^2-10x25=35
Answer: b
Step-by-step explanation:
x= 5+√35 and 5-√35
A storm is moving toward your house at a speed of 20 km/hr. It is now 60 km away from your
house. In what time will the storm reach your house?
Answer:
3 hours
Step-by-step explanation:
(60km)/(20km/hr)=3
Evalua la siguiente
expresión algebraica si
X=3 Y=2
3x + 4y =
Answer:
3x + 4y = 17
Step-by-step explanation:
Espero y te haiga ayudado :)
Plz help guys! I will mark everyone who answers correctly for each one! Plz!
Sam is 4 years younger than Amy. Five years ago he was half her age. How old are they now?
Answer
Answer:
Let's say that x is sam's age and y is Amy's age
x=y-4
and five years ago:
x-5=(y-5)/2
y-4-5=(y-5)/2
2y-18=y-5
y=13
x=9
then:
sam's age is 9 and Amy's age is 13
Answer:
Sam: 9, Amy: 13
Step-by-step explanation:
So five years ago, lets say Sam was 4, and Amy was 8. That would be half Amy's age. If we add on 5 to Sams age, as it says, Amy would then be 13, and Sam would be 9. This is also four years apart. Thus, the answers are Sam: 9 and Amy: 13
The management team of a company with 10,000 employees is considering installing charging stations for electric cars in the company parking lots. In a random sample of 500 employees, 15 reported owning an electric car. What is a 99 percent confidence interval for the proportion of all employees at the company who own an electric car?
Answer:
The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
In a random sample of 500 employees, 15 reported owning an electric car.
This means that [tex]n = 500, \pi = \frac{15}{500} = 0.03[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 - 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0104[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 + 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0496[/tex]
The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).
You can find the standard mean error and then use that to find the confidence interval limits.
The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by
Lower limit = 0.0104
Upper limit = 0.0496
The confidence interval is (0.0104, 0.0496) (can include those end points too)
How to find the confidence interval for proportions?Let the sample size be n
Let the interested quantities in the sample be present x times
Let the confidence level be of p%.
Then the level of significance is given by [tex]\alpha = 1 - p/100[/tex]
The standard mean error is calculated by:
[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}[/tex]
Then the confidence interval limits can be found by
[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)[/tex]
Using above formula for finding the confidence intervalWe have n = 500, x = 15 and [tex]\alpha = 1 - 0.99 = 0.01[/tex]
Finding the standard mean error:
[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}\\\\SME = \sqrt{\dfrac{15 \times 485}{500^3}} \approx 0.00763[/tex]
From the z tables, at [tex]\alpha/2 = 0.01/2 = 0.005[/tex], we get z = 2.5758
Thus, the confidence interval is obtained by
[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)\\\\CI = \dfrac{15}{500} \pm 2.575 \times 0.00763\\\\CI = 0.03 \pm 0.0196[/tex]
Lower limit = 0.0104
Upper limit = 0.0496
Thus,
The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by
Lower limit = 0.0104
Upper limit = 0.0496
The confidence interval is (0.0104, 0.0496) (can include those end points too)
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Can someone help me :)
Answer:
51
b+129=180
b+95+34=180
Step-by-step explanation:
hope this helped :)
Ms.beatly Is trying to get healthy and starts running in the morning.She is able to run 5 miles in 45 minutes how many how many minutes does is for her to run 1 miles
Answer:
1. 9 minutes
Step-by-step explanation:
1. If she runs 5 miles in 45 minutes, you have 5 miles = 45 minutes. If you divide both sides of this ratio by 5, you get 1 miles = 9 minutes
2. Find out how many each person sells per week:
Emily: 4 boxes = 2 weeks
divide both sides by 2
2 boxes = 1 week
Jose: 9 boxes = 3 weeks
divide both sides by 3
3 boxes = 1 week
This means that jose sells more, because 3 boxes > 2 boxes
U=x/k solve for x HELP THIS IS DUE IN 30 MIN
Answer:
first you multiply both sides by k. that makes kU equals x
Please help! Will mark brainliest! ASAP
Answer:
165.00 dollars
Step-by-step explanation:
Three angles in a triangle measure x°, (4x+12)° and (3x+16)°. What is the measure of the largest angle in this triangle?
Answer:
Step-by-step explanation:
90°
For which intervals the graphs of the functions f(x) = x^3 + x^2 - 4x - 4 is positive
Step-by-step explanation:
Consider a function
f
(
x
)
which is twice differentiable. The graph of such a function will be concave upwards in the intervals where the second derivative is positive and the graph will be concave downwards in the intervals where the second derivative is negative. To find these intervals we need to find the inflection points i.e. the x-values where the second derivative is 0.
Find the midpoint of the line segment with the endpoints (-6,-8) and (-2,-6)
Answer: (-4,-7)
Step-by-step explanation:
The Midpiont formale is in the picture and add -6 with -2 and add -8 with -6.
-6 + -2 = -8
-8+-6=-14
-8 divided 2 = -4
-14 divided 2 = -7
(-4,-7)
A bucket that has a mass of 20 kg when filled with sand needs to be lifted to the top of a 10 meter tall building. You have a rope that has a mass of 0.4 kg/m that must be secured to the bucket. It takes 1 meter of rope to secure the bucket. Once the bucket reaches the top of the building it only has mass 16 kg because there was a hole in the bottom and sand was leaking out at a constant rate while it was being lifted to the top of the building.
Find the work done lifting the bucket (sand and rope) to the top of the building.
Answer:
W=2001.24 newton meters
Caution: check units and arithmetic - I often make errors.
Step-by-step explanation:
Work is force times distance.
Denote height by h where h=0 is at ground level.
Denote the mass of the bucket and rope at height h by m(h).
The rate at which the bucket loses mass with height is (20-16)/10=0.4 kg/m
The rate at which the rope between the bucket and the top of the building loses mass is 0.4 kg/m
The initial mass of the bucket and rope is
[tex]m_{0}=20+0.4+0.4(10)=24.4[/tex]
The mass at height h is
[tex]m(h)=24.4-0.8h[/tex]
The force required at height h is
m(h)g
where g is the gravitational acceleration.
g=9.81 meters/sec/sec
The work required is
[tex]\int\limits^b_a {m(h)g} \, dh[/tex]
Where a=0 and b=10
[tex]g\int\limits^b_a {(24.4-0.8h)} \, dh=g(24.4h-0.4h^2)\left \{ {{10} \atop {0}} \right.[/tex]
g(244-40)=204g
W=2001.24 newton meters
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2y – 2 = -8
Answer:
[tex]y = x - 4[/tex]
Step-by-step explanation:
Given
[tex]2y - 2x = -8[/tex] -- correct expression
Required
Represent as slope intercept form
[tex]2y - 2x = -8[/tex]
Make 2y the subject
[tex]2y = 2x - 8[/tex]
Divide through by 2
[tex]\frac{2y}{2} = \frac{2x}{2} - \frac{8}{2}[/tex]
[tex]y = x - 4[/tex]
t/3 > Solve > 15. Graph the solution 3 The solution is
Answer:
[tex]T > 45[/tex]
Step-by-step explanation:
Given
[tex]\frac{T}{3} > 15[/tex]
Required
Graph the solution
[tex]\frac{T}{3} > 15[/tex]
Multiply both sides by 3
[tex]3 * \frac{T}{3} > 15*3[/tex]
[tex]T > 15*3[/tex]
[tex]T > 45[/tex]
See attachment for graph (Assume T is on the x-axis)
From a point 80 m from the base of a tower, the angle of elevation to the top of the tower is 28°. How tall is
the tower (remember: 3 decimal places)?
The height of the tower is [A] m.
Answer:
42.537 m
Step-by-step explanation:
Let x = height of tower
tan 28 = x/80
x = 80 tan 28
x = 42.537 m
What is equivalent to 1/3(x9x + 12) + 4x + 6
Answer:
1/3(9x+12)+4x+6=x
We move all terms to the left:
1/3(9x+12)+4x+6-(x)=0
Domain of the equation: 3(9x+12)!=0
x∈R
We add all the numbers together, and all the variables
3x+1/3(9x+12)+6=0
We multiply all the terms by the denominator
3x*3(9x+12)+6*3(9x+12)+1=0
Wy multiply elements
9x^2(9+18x(9+1=0
Step-by-step explanation:
what is 3 1/4 as an improper fraction
Answer: 3.25 = 13/4
Step-by-step explanation:
I got 13/4
A mixed number is an addition of its whole and fractional parts.
3 + 1/4
add 3 and 1/4
To write
3
as a fraction with a common denominator, multiply by 4/4
3 x 4/4 + 1/4
Combine 3 and 4/4
3x4/4+ 1/4
Combine the numerators over the common denominator.
3x4+1/4
Simplify the numerator.
Multiply 3 by 4
12+1/4
Add 12 and 1
And your final answer is
13/4