Answer:
The answer is 3 feet.
Step-by-step explanation:
First, the height is 7 right. Then take away 1 foot since is said 1 foot more than twice the width. Then divide by 2 meaning twice. Meaning 7-1=6 6/2=3. There you go! Hope these formulas helped!
Answer:
3 feet
Step-by-step explanation:
To relate the height and width of the door, we can write an equation, which is derived from what is given in the problem. If we define w as the width and h as the height, the words, "1 foot more than twice the width" can translate to:
2w + 1, and this is equal to the height, so
2w + 1 = h
Now, we are given the height is 7. We substitute 7 where the height, h, is.
2w + 1 = 7
We can subtract 1 from both sides and divide by 2 to isolate x:
2w + 1 = 7
-1 -1
2w = 6
w = 3 - the width is 3 feet
find the volume of the solid formed by revolving the region bounded by the graphs of y = 4x - x^2 and f(x) = x^2 from [0,2] about the... a) x-axis.
Answer:
[tex]v = \frac{32\pi}{3}[/tex]
or
[tex]v=33.52[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4x - x^2[/tex]
[tex]g(x) = x^2[/tex]
[tex][a,b] = [0,2][/tex]
Required
The volume of the solid formed
Rotating about the x-axis.
Using the washer method to calculate the volume, we have:
[tex]\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx[/tex]
Integrate
[tex]v = \int\limit^b_a \pi(f(x)^2 - g(x)^2)\ dx[/tex]
[tex]v = \pi \int\limit^b_a (f(x)^2 - g(x)^2)\ dx[/tex]
Substitute values for a, b, f(x) and g(x)
[tex]v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx[/tex]
Evaluate the exponents
[tex]v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx[/tex]
Simplify like terms
[tex]v = \pi \int\limit^2_0 (16x^2 - 8x^3 )\ dx[/tex]
Factor out 8
[tex]v = 8\pi \int\limit^2_0 (2x^2 - x^3 )\ dx[/tex]
Integrate
[tex]v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0[/tex]
[tex]v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0[/tex]
Substitute 2 and 0 for x, respectively
[tex]v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])[/tex]
[tex]v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])[/tex]
[tex]v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ][/tex]
[tex]v = 8\pi [ \frac{16}{3} - \frac{16}{4} ][/tex]
Take LCM
[tex]v = 8\pi [ \frac{16*4- 16 * 3}{12}][/tex]
[tex]v = 8\pi [ \frac{64- 48}{12}][/tex]
[tex]v = 8\pi * \frac{16}{12}[/tex]
Simplify
[tex]v = 8\pi * \frac{4}{3}[/tex]
[tex]v = \frac{32\pi}{3}[/tex]
or
[tex]v=\frac{32}{3} * \frac{22}{7}[/tex]
[tex]v=\frac{32*22}{3*7}[/tex]
[tex]v=\frac{704}{21}[/tex]
[tex]v=33.52[/tex]
Which expression has a value greater than 43 ?
PLEASEEE HELP!
Answer:
7^2
Step-by-step explanation:
7*7=49
4^3=43
49>43
Help ASAP I’ll mark branliest
Answer:
C - 129
Step-by-step explanation:
180-51=129
How do we decide if a situation requires us to measure in square units or cubic units?
Answer: see below...
Step-by-step explanation:
Square units are when we are finding the surface area.
Since it is side x side, so ^2.
Cubic units are when we are finding the volume.
Since it is side x side x side, so ^3.
Select all values of x that make the inequality true: (x ≥ -1)
A. -4
B. -2
C. -1
D. 0
E. 1
F. 4
Answer:
c,d,e,f
Step-by-step explanation:
mark me brainliest
Select all values of x that make the inequality true: (x ≥ -1)
A. -4
B. -2
C. -1
D. 0
E. 1
F. 4
Answer:
C, D, E, F
Step-by-step explanation:
hope this helps! #HappyCheating
a cashier at the supermarket has $685 in 4 different denomination bills in her register at the end of the day. the number of $5 bills was 10 more than 4 times the amount of $10 bills. the register contained as many $1 bills as $5 bills and $10 bills combined, and two $50 bills. how many bills of each kind did the register contain?
9514 1404 393
Answer:
85 ones70 fives15 tens2 fiftiesStep-by-step explanation:
Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...
a +5b +10c +50d = 685 . . . . . total amount of cash
b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens
a = b+c . . . . . . . . . . . as many ones as fives and tens combined
d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills
__
Substituting for 'a', then for 'b', we have ...
(b+c) +5b +10c +50d = 685
6(10 +4c) +11c +50d = 685
60 +35c +50d = 685
Substituting d=2 and subtracting 160 gives ...
35c = 525
c = 15
b = 10 +4c = 10 +4(15) = 70
a = b+c = 70 +15 = 85
The register contained ...
85 ones70 fives15 tens2 fiftiesDiscuss the political, economic and social organisation of buganda kingdom during the pre colonial period
Answer:
What type of line the picture represent
9 mi
12 mi
What is the length of the hypotenuse?
miles
please help me!! asap!!
Answer:
answer: 85
Step-by-step explanation:
These add up to 360 and
85 + 85 + 95 + 95 = 360 so 85 is the answer.
Hope that helps!
Identify the distance between the points (9,7,3) and (5,3,2), and identify the midpoint of the segment for which these are the endpoints. Round to the nearest tenth, if necessary.
Using it's formula, it is found that the distance between the two points is of 5.7 units. Additionally, the midpoint is (7, 5, 2.5).
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, the points are (9,7,3) and (5,3,2), hence:
[tex]D = \sqrt{(9 - 5)^2 + (7 - 3)^2 + (3 - 2)^2} = 5.7[/tex]
The distance between the two points is of 5.7 units.
What is the midpoint?The midpoint is the mean of the coordinates, hence:
xM = (9 + 5)/2 = 7.yM = (7 + 3)/2 = 5.zM = (3 + 2)/2 = 2.5.The midpoint is (7, 5, 2.5).
More can be learned about the distance between two points at https://brainly.com/question/18345417
What’s the answer (no link I give brainly)
Jill is swimming laps in a pool. The table shows how the total distance she swims depends on the number of laps she does.
Number of Laps - Total Distance (Meters)
5 250
10 500
15 ?
20 1,000
25 1,250
A. 50
B. 75
C. 550
D. 750
Answer:
the expression b/c=b/c is an example of a/an
What is the total of 12 monthly payments of 100.00 including tax
Answer:
The monthly payments of said financing plan will be $8.33.
Step-by-step explanation:
To determine what is the total of 12 monthly payments of $ 100.00 including tax, the following calculation must be performed:
100/12 = X
8.33 = X
Therefore, the monthly payments of said financing plan will be $8.33.
please answer ive been waiting half hour
Every plant bloomed in the spring. The simple subject of this sentence is _____.
every
every plant
plant
bloomed
The subject is the idea,being or thing being discussed.
Should be "plant". Its the Main thing being discussed.
Graph the following function on the axes provided.
Answer:
this may help you.look it once
Step-by-step explanation:
.
Write each phrase as an algebraic expression.
16 seconds faster than Aya’s time.
Given:
The given phrase is 16 seconds faster than Aya’s time.
To find:
The algebraic expression for the given phrase.
Solution:
Let x be the Aya’s time.
16 seconds faster than Aya’s time. It means 16 seconds less than Aya’s time.
We know that a negative sign "-" is used for less than.
16 seconds less than Aya’s time = [tex]x-16[/tex]
16 seconds faster than Aya’s time = [tex]x-16[/tex]
Therefore, the required algebraic expression is [tex]x-16[/tex].
The question is in le picture below U-U
Answer:
30%
Also I LOVE THE EMMA PIC!!!!!!!!
Many elementary school students in a school district currently have ear infections. A random sample of children in two different schools found that 16 of 40 at one school and 13 of 30 at the other had this infection. Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other. Find the test statistic. [Suggestion: try to use a TI 83 or a similar calculator.]
Answer:
The test statistic is [tex]z = -0.28[/tex]
Step-by-step explanation:
First, before finding the test statistic, we need to understand the central limit theorem and difference between normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
A random sample of children in two different schools found that 16 of 40 at one school
This means that:
[tex]p_1 = \frac{16}{40} = 0.4, s_1 = \sqrt{\frac{0.4*0.6}{40}} = 0.0775[/tex]
13 of 30 at the other had this infection.
This means that:
[tex]p_2 = \frac{13}{30} = 0.4333, s_2 = \sqrt{\frac{0.4333*0.5667}{30}} = 0.0905[/tex]
Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other.
At the null hypothesis, we test if there is no difference, that is:
[tex]H_0: p_1 - p_2 = 0[/tex]
And at the alternate hypothesis, we test if there is difference, that is:
[tex]H_a: p_1 - p_2 \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples:
[tex]p = p_1 - p_2 = 0.4 - 0.4333 = -0.0333[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0775^2+0.0905^2} = 0.1191[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.0333 - 0}{0.1191}[/tex]
[tex]z = -0.28[/tex]
The test statistic is [tex]z = -0.28[/tex]
Which of the functions below could have created this graph?
Pls help solve this...No hacker links
Answer:
x=13
Step-by-step explanation:
18-5=13. You have to subtract 5 from 5 itself and then 18.
what’s the answer please i don’t need work shown :)
Answer:
102
You didn't ask for work and I shall respect your wish
2.52343454 + -34355343.99
NEED HELP PLZZZZZZ ASAP
Answer:
5555555555555555555555555555555555555 trust
Step-by-step explanation:
find m
135°
125°
55°
100°
Answer:
answer: m = 125
Step-by-step explanation:
parellograms add up to a total of 360 so m = 125 because 125 + 125 + 55 + 55 = 360 Hope this helps!
Step-by-step explanation:
here's your solution
==> sum of corresponding angles of parallelogram = 180°
==> angle J + angle k = 180°
==> 55° + k = 180°
==> k = 180° - 55°
==> k = 125°
[tex]hope \: it \: helps[/tex]
You're playing a fantasy game that allows you to create your own character. There are 5 options for the
race of the character, and there are 3 options for the character's main tool.
If you randomly choose the race and the tool, which of these diagrams can be used to find all of the
possible outcomes?
Answer:
A i think
Step-by-step explanation:
Rationalize the denominator and simplify
Find the slope of the line parallel to the line graphed.
My Answer:
Jerry has $90 in his savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much interest will he earn in 3 years
Answer:
27 cents
Step-by-step explanation:
10% of 90= 9
9x3=27
Answer:
p x t x r / 100
90 x 10 x 3 / 100
=27
Paul is selling $2 raffle tickets for his baseball team. He needs to sell at least
$230 worth of tickets to earn a team jacket. If he has already sold $50 worth of tickets, how many more raffle tickets, x, does Paul need to sell to earn a team jacket?
Answer: 90 more tickets
Step-by-step explanation:
230 - 50 = 180
180 divided by 2 = 90 tickets
4. Thunder Bob's race car traveled at an average speed of 195
miles per hour during a recent championship race. If the
distance traveled (d) varies directly as the time raced (t),
identify which function accurately models the race car's
average distance traveled at any given time during the race.
30 POINTS, NO LINKS, AND ANSWER RIGHT.
-15 = 8z + 7. what is the value of z