Step-by-step explanation:
1. A = lw
l = A/wl = (x²+7x +12) / (x + 3) = (x + 4)(x + 3)/(x + 3) = x + 4 m2. V = lwh
lw = V/hlw = (x³ + 12x²+ 47x + 60) / (x + 3) = (x³+ 3x² + 9x² + 27x + 20 x + 60) /(x + 3) = (x + 3)(x² + 9x + 20) / (x + 3) = x² + 9x + 20 cm²3. A = bh
h = A/bh = (f³-8) / (f-2) =(f - 2)(f² + 2f + 4)/(f-2) =f² + 2f + 4 cm4. A = p*c
c = A/pc = (3x³- 4x² + 2x + 4) / (x²- 2x + 2) =(3x³ - 6x² + 6x + 2x² - 4x + 4) /(x² - 2x + 2) =(x² - 2x + 2) (3x + 2) / (x² - 2x + 2) =3x + 2 cans5. A = lw
l = A/wl = (x² + 5x - 6)/(x + 2) =(x - 1)(x + 6)/(x + 2) mMr. Reed has 114 students. He gives each student ¼ pound of candy in their Halloween bag. How many pounds of candy does he need to buy?
Answer:
hewo
Step-by-step explanation:
well you need to multiply 1/4*114 and that should give you your answer
which would be 28.5
20% discount of a grand total of $35.26
Answer:
$7.05
Step-by-step explanation:
Answer:
28.2
Step-by-step explanation:
The figure shows three right triangles. Triangles PQS, QRS, and PRQ are similar. Theorem: If two triangles are similar, the corresponding sides are in proportion. Figure shows triangle PQR with right angle at Q. Segment PQ is 4 and segment QR is 9. Point S is on segment PR and angles QSP a Using the given theorem, which two statements help to prove that if segment PR is x, then x2 = 97? (1 point) Segment PR ⋅ segment PS = 16 Segment PR ⋅ segment SR = 36 Segment PR ⋅ segment PS = 36 Segment PR ⋅ segment SR = 81 Segment PR ⋅ segment PS = 16 Segment PR ⋅ segment SR = 81 Segment PR ⋅ segment PS = 81 Segment PR ⋅ segment SR = 16
The two statements that help to prove that if segment PR is x, then x² = 97 are:
Segment PR • segment SR = 81Segment PR • segment SR = 16What is a segment?A line segment is a piece or part of a line having two endpoints.
Here, the statements that help to prove that if segment PR is x, then x² = 97 are Segment PR • segment SR = 81 and that Segment PR • segment SR = 16.
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Evaluate the integral using the indicated trigonometric substitution. sqrt(x2 − 81)/x dx, x = 9 sec()
Answer:
C
=
C
'
−
81
2
ln
9
Step-by-step explanation:
ANSWER THE QUESTION PLEASE & THANK YOU ! Show that the equation y +2 = 2(3x + 1) is linear and that it represents a proportional relationship
between x and y.
Part 1 out of 4
y +2=2(3x + 1)
y +2=
JX +
✓ Check
Next
Answer:
y+2=6x+2
Step-by-step explanation:
[tex]y+2=2(3x+1)\\y+2=6x+2\\y=6x+2-2\\y=6x[/tex]
Since the exponent/degree of x and y both the variables are 1 the equation is linear and y=6x represents a proportional relationship between x and y
what is the answer of this 4:3=a:6
Answer:
a = 8
Step-by-step explanation:
4 : 3 = a : 6
[tex]\frac{4}{3} = \frac{a}{6}[/tex]
Cross multiply
4*6 = a * 3
[tex]\frac{4*6}{3}=a[/tex]
a = 4 * 2
a = 8
Find the area of the trapezoidal shown
Answer:
may you show us the pic so we can help?
Step-by-step explanation:
Please help me I need to get this right
Answer:
try the second one on top
Step-by-step explanation:
A basketball player made 77 out of 100 attempted free throws. What percentage of free throws was made?
The player made____% of the free throws attempted.
Answer:
77%
Step-by-step explanation:
The auxiliary equation for the given differential equation has complex roots. Find a general solution.
y''-4y' +7y =0
Answer:
y = Ae^2xcos√3 x + Be^2xsin√3 x
Step-by-step explanation:
Given the differential equation
y''-4y' +7y =0
Let my = y' and m²y =y''
The auxiliary equation is expressed as;
m²y - 4my +7y = 0
(m²-4m+7)y =0
Divide through by y;
m²-4m+7= 0
Factorize the auxiliary equation
m = 4±√16-4(7)/2
m = 4±√-12/2
m = 4±2√3 i/2
m = 2+√3i
From the complex number a = 2(real part)
b = √3 (imaginary part)
Substitute into the general solution
y = Ae^axcosbx + Be^axsinbx
y = Ae^2xcos√3 x + Be^2xsin√3 x
PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
Camila was looking at the architect's blueprint of her house. The scale on the blueprint is shown below the blueprint on the left. What is the PERIMETER on the blueprint if the actual dimensions of her bedroom are 10 feet by 16 feet.
1/4 inch = 1 foot
Answer:
13 inches
Step-by-step explanation:
10 * 1/4 = 2 1/2 inches
16 * 1/4 = 4 inches
2(2 1/2) + 2(4) = 13 inches
Answer:
Its 4 feet, The other person is wrong and did not explain it the way the question says.
Step-by-step explanation:
This exact same question has been asked a few times, but I’m finding several different answers. Could someone please clarify.
Thank you in advance.
Answer:
The last one (D)
Step-by-step explanation:
Jonathan would have to check how much he's paid off after each of the months which means he would need to subtract that from total amount of money that he's pay for the new computer
(√7)5=7n, what is n?
Answer:
n = 5/√7
Step-by-step explanation:
(√7) 5 = 7n
5√7 = 7n
7n = 5√7
n = 5√7/7
n = 5/√7
-TheUnknownScientist
(√7)5 = 7n
Divide both sides by n.
(√7)5/7 = n
The average age of 40 students of a class is 15 years. An 18 year-old student left the class and a new student was admitted. As a result the average age fell to 14.885 years. Find the age of the new student.
Answer:
Answer:age of new student is 13.4 years
Step-by-step explanation:
SUM of ages all 40 students =average age times 40
=15*40=600
after leaving 18 years old student
SUM of ages of 39 students will be 600-18=582
after adding new student with age x
SUM of ages of 40 students will become 582+x
and the average would be (582+x)/40
which is given as 14.885
so we get equation
(582+x)/40=14.885
582+x=14.885*40=595.4
x=595.4-582
x= 13.4
age of new student is 13.4 years
Hope it will help you
Please mark as brainliest answer
the sudent age is 13.4
Step-by-step explanation:
SUM of ages all 40 students =average age times 40
=15*40=600
after leaving 18 years old student
SUM of ages of 39 students will be 600-18=582
after adding new student with age x
SUM of ages of 40 students will become 582+x
and the average would be (582+x)/40
which is given as 14.885
so we get equation
(582+x)/40=14.885
582+x=14.885*40=595.4
x=595.4-582
x= 13.4
age of new student is 13.4 years
Find the image of (8,0) after a rotation of 90° about the origin.
Answer:
(0,8)
Step-by-step explanation:
this is my guess because 90° would move it from axis to axis, switching the x & y numbers. i could be wrong though & my appologies if i am incorrect
What is a slope, because i don't know
Answer:
The slope of a line is a measure of its steepness. In math, slope is calculated as "rise over run" (change in y divided by change in x).
what is 3/4 ÷ 1/6 hlp
Answer:
The answer is 4.5
Step-by-step explanation:
.caculator.....hehe
Answer:
4.5
Step-by-step explanation:
If you divide 3/4 by 1/6 you will get 4.5. Hope this helps.
I need a tutor or someone that’s willing to help ... but can someone pls answer
Answer:
1/2
Step-by-step explanation:
Answer:
Your slope is 1/2
Step-by-step explanation:
Slope is rise over run or m=rise/run rise being the Y value and X being the run value. You can count the grid on the graph provided.
rise= 1
run= 2
The total amount y (in dollars) in your savings account after buying x video games is represented by y= 90-10x. You have $40 in your account after buying video games. How many video games did you buy?
5 video games bought.
Explanation:
Step one) identify all variables.
> y = money in bank acc AFTER buying (x) video games.
Step two) y = $40
Step three) substitute
> 40 = 90 - 10x.
Step Four) solve for x
> subtract 90 both sides.
-50 = -10x
DIVIDE by -10 on both sides ( to isolated x)
This equals 5 = x
x is number of video games bought meaning >> 5 video games bought
*sings body by Megan Thee Stallion*
Find the slope of a line that passes through the points. (-2, 3) and (4,8).
A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and estimates the angle of elevation of the kite to be 55°. If the string is 350 ft long, how high is the kite above the ground? (Round your answer to the nearest foot.)
The kite is approximately 345 feet above the ground.
The height of the kite above the ground is 287 ft
The length of the string, the height of the kite (h) above ground and the perpendicular distance from the end of the kite string to the man forms a right angled triangle.
Trigonometric shows the relationship between the lengths and angles of a right angled triangle.
Therefore using trigonometric ratios:
sin(55) = h / 350
h = 287 ft
Therefore the height of the kite above the ground is 287 ft.
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-1 < 4x + 3 < 7
solve for x
Answer:
-1 <x< 1
Explanation:
Add -3 to both sides
Divide all parts by 4
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a red card
Answer:
It’s a 50% chance
Step-by-step explanation:
The probability of being dealt a red card is 1/2 or 50% if you are dealt one card from a standard 52-card deck.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
You are dealt one card from a standard 52-card deck.
Total number of red cards = 26
Total number of outcomes = 52
The probability of being dealt a red card = 26/52
The probability of being dealt a red card = 1/2
Or
The probability of being dealt a red card = 0.5 or 50%
Thus, the probability of being dealt a red card is 1/2 or 50% if you are dealt one card from a standard 52-card deck.
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A, B & C form a triangle where
∠
BAC = 90°.
AB = 9.1 mm and CA = 12.5 mm.
Find the length of BC,
Answer:
15.5
Step-by-step explanation:
9.1^2 + 12.5^2 = 239.06
square root of 239.06 is 15.5
A turkey costs $1.05 per pound. There are going to be fifteen people at Thanksgiving dinner. Plan for each person to eat two, 3/8 pound servings of turkey.
How many pounds of turkey will you need to buy?
Answer:
I will need to buy 22.5 pounds of turkey and pay $23.63
Step-by-step explanation:
Proportions
Each person is planned to eat 2 x 3/8 pound servings of turkey for thanksgiving dinner. This means each person will eat
[tex]2\cdot\frac{3}{4}=\frac{3}{2}[/tex]
pounds of turkey.
There are going to be 15 people at the dinner, thus the total turkey needed is:
[tex]15\cdot\frac{3}{2}=22.5~pounds[/tex]
The turkey costs $1.05 per pound, thus the total cost is
22.5*$1.05 = $23.63
I will need to buy 22.5 pounds of turkey and pay $23.63
Sierra wants to invest $5,000 at her local bank. She will receive an interest rate of 1%, compounded annually. What is the value of her investment after two years?
Answer:
Value of investment for Sierra after two years will be $5100.5
Step-by-step explanation:
Principal Amount P =$5000
Interest rate r = 1% = 0.01
Time t = 2 years
Compounded annually n = 1
We need to find future amount A
The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.01}{1})^{1*2}\\A=5000(1+0.01)^{2} \\A=5000(1.01)^{2}\\A=5000(1.0201)\\A=5100.5[/tex]
So, Value of investment for Sierra after two years will be $5100.5
0 of 1
Does the equation 94=1227
9
4
=
12
27
represent a proportional relationship? Why or why not?
Select the option that correctly answers both questions.
Yes, it is proportional because 94=1227.
9
4
=
12
27
.
No, it is not proportional because 94≠1227.
9
4
≠
12
27
.
Yes, it is proportional because 94≠1227.
9
4
≠
12
27
.
No, it is not proportional because 94=1227.
Answer:
its 9 4 = 12 27
Step-by-step explanation:
An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 451 watts with a variance of 144. What is the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers if the claim is true?
Answer:
sorry for that i did not about that give a thanks and save water for feuter . jal
Given John's data collection method and findings, what conclusion can be made?
OA.
Only the claim for vehicle B is true because more people agree with their claim.
OB. Neither of the claims are correct.
Ос.
Both SUV manufacturers' claims are true, but the turning radius of vehicle B is sharper than the turning radius of vehicle A.
Only the claim for vehicle A is true because 11 out of 15 people agree with their claim.
OD
Answer:
b
Step-by-step explanation:
edg2020
Find the zeros of each function. Part 2. Please show work.
1. f(x)=2x^3 - 3x^2 - 8x - 3
2. f(x)= x^3 + 3x^2 - 5x - 15
3. f(x)= 2x^4 - 3x^3 - 14x^2 + 18x + 12
4. f(x) = x^3 - 5x^2 + 5x - 1
9514 1404 393
Answer:
-1, -1/2, 3-3, -√5, √5-√6, -1/2, 2, √62-√3, 1, 2+√3Step-by-step explanation:
Personally, the "work" I like to do when finding higher-degree polynomial zeros is writing the equation into a graphing calculator. The rational zeros are usually fairly obvious (for school problems), and the irrational ones often can be arrived at without a lot of trouble.
__
1. The graph in the first attachment shows the zeros are -1, -1/2, 3. (You expect a zero with 2 in the denominator because of the leading coefficient.)
__
2. The graph in the first attachment shows the zeros are -3, -2.236, and +2.236. Factoring the function by grouping shows you the factors to be ...
f(x) = (x^3 +3x^2) -(5x +15) = x^2(x +3)-5(x +3) = (x +3)(x^2 -5)
The quadratic factor can be factored using the form for "difference of squares":
f(x) = (x +3)(x -√5)(x +√5)
The value of √5 is about 2.236, matching the numbers shown on the graph.
The zeros are -3, -√5, +√5.
__
3. The graph in the second attachment shows the zeros are -2.449, -1/2, 2, +2.449. (As in problem 1, you expect a zero with 2 in the denominator.) Factoring out the rational zeros* gives ...
f(x) = (2x +1)(x -2)(x^2 -6) = (2x +1)(x -2)(x -√6)(x +√6)
The zeros are -1/2, 2, -√6, +√6.
* The "work" of the synthetic division is shown in the third attachment. The coefficients of the quadratic are reduced by a factor of 2 from the result of division by (x+1/2) so they effectively show the quotient from division by (2x+1).
__
4. The graph in the fourth attachment shows the zeros are 0.268, 1, 3.732. Factoring out the rational zero gives ...
f(x) = (x -1)(x^2 -4x +1)
The zeros of the quadratic factor can be found any of several ways. One of my favorite is to use the graph to discover the vertex. For the vertex form ...
y = (x -h)^2 +k
the roots are h±√(-k). The vertex form of the quadratic term is
y = (x -2)^2 -3
so the roots are 2±√3.
The zeros are 1, 2-√3, 2+√3.