Answer:
1. -13
2. 36
3. -2
4. -.5
5. -6x
6. -216cm
A bicycle wheel makes five rotations. The bicycle travels ft. Find the diameter of the wheel in inches. Use 3.14 for .
Answer:
[tex]r=\frac{L}{2pi R}[/tex]
Diameter=2r
inches=12*ft
Step-by-step explanation:
You forgot to say how far the bike travels.
Given R rotations, L feet, and a wheel radius of r, then the relationship is
[tex]L=2\pi rR[/tex]
Solving this for r gives
[tex]r=\frac{L}{2pi R}[/tex]
Diameter=2r
inches=12*ft
Rick earned 36 extra credit points. Cindy earned e fewer extra credit points than Rick. Write
an expression that shows how many extra credit points Cindy earned.
PLEASE ANSWER
Answer:
36-e
Step-by-step explanation:
-
what is the area of 5m, 17m, 8m, and 5m, the shape is a kite
Answer:
It can't be a kite. A kite has 2 pairs of equal sides.
Step-by-step explanation:
Write the word sentences as an equation! Half of a number q is 14.
Answer:
q/2=14I hope this helped you :)
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:
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
11. Let f(x) = 2x² + 7x + 5
Answer:
(x+1)(2x+5)
Step-by-step explanation:
f(x) = 2x² + 7x + 5
Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.
a+b=7
ab=2×5=10
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.
1,10
2,5
Calculate the sum for each pair.
1+10=11
2+5=7
The solution is the pair that gives sum 7.
a=2
b=5
2x²+7x+5 as (2x²+2x)+(5x+5).
(2x²+2x)+(5x+5)
Factor out 2x in the first and 5 in the second group.
2x(x+1)+5(x+1)
Factor out common term x+1 by using distributive property.
(x+1)(2x+5)
If you can buy 4 containers of pudding for $4.20 how much can you buy for $9.45 math problem PARAMETERS
*** 7 STEPS ***
Answer:
9 containers
Step-by-step explanation:
$4.20 for 4 containers
Form that we can find the cost per container, the unit cost.
$4.20 / 4 containers = $1.05/container
Each container costs $1.05
Now we find the number of containers we can buy with $9.45 by dividing $9.45 by the unit cost.
$9.45/($1.05/container) = 9 containers
Answer: 9 containers
Step-by-step explanation:
Four containers of pudding cost $4.20.
4x = 4.20
x = 1.05
Using this we know that one container of pudding costs $1.05.
Then, divide the maximum amount that you have by the cost of one.
9.45/1.05 = 9
With $9.45, you can buy nine cups of pudding.
In the case that you can buy the four containers in bulk (4 at a time)...
You can only buy 8 containers of pudding (two) because $4.20 only fits into $9.45 twice.
Which table or graph shows the value of y going down as the value of x goes up?
Answer:
c.
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
Learn more about Pythagoras theorem click;
https://brainly.com/question/343682
#SPJ3
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
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:
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
b. -2 + 3x = -(x + 6)
Solve for x
Please help! Will mark brainliest! ASAP
Answer:
165.00 dollars
Step-by-step explanation:
graph the linear equation y= -4/9x -4
Answer:
I used Desmos to graph it
What number is between 5/2 and the other number In the photo.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = x + 11
Step-by-step explanation:
The table is showing 4 x and y values. With the question of which equation gives the rule of the table.
To solve, all we have to do is plug in x with the correspondant equation, same goes with y.
y = x + 11 will be the only one that fits mainly because all the other ones gives a higher result.
Answer:
y = x + 11
Step-by-step explanation:
y + 11 = 11
1 + 11 = 12
2 + 11 = 13
3+ 11 = 14
4+ 11 = 15
y is the first row, 1,2,3,and 4
11 is 11 (lol)
x is the answer
your answer is y=x+11
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
Hi! I am having a hard time with this question. Can anyone help me out? I only need to answer the questions with the red circles
Marisol buys 3 notebooks that each cost the same amount and 1 calculator that costs $9. The total cost is $21. How much does each notebook cost?
Answer: 4 dollars for each notebook
Step-by-step explanation:
21-9= 12
12/3=4
each notebooks costs 4 dollars
Answer:
$4
Step-by-step explanation:
Solve for x in equation x^2-10x25=35
Answer: b
Step-by-step explanation:
x= 5+√35 and 5-√35
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.
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 :)
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)
Learn more about confidence interval here:
https://brainly.com/question/16427118
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:
hitunglah luas permukaan balok dengan ukuran sebagai berikut
a. 8 cm × 4 cm × 2cm
B. 8 cm × 3 cm × 4 cm
jawaban
a. = 112 cm²b. = 136 cm²penjelasan langkah demi langkah( step by step explanation )
Total Luas Permukaan = 2 (Panjang x Lebar + Lebar x Tinggi + Panjang x Tinggi)
a.Luas Permukaan = 2( 8×4 + 4×2 + 2×8 )
= 2 ( 32 + 8 + 16 )
= 2 × 56
= 112 cm²b.Luas Permukaan = 2( 8×3 + 3×4 + 4×8 )
= 2 ( 24 + 12 + 32 )
= 2 × 68
= 136 cm²
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
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]