rectangle area = lenght x width
so = (x+12) * (x-4) = x² - 4x + 12x - 48 = x² + 8x - 48
If you can Awnser ur a god and my best friend
need help with thiss
Answer:
10n^2 + 2n + 16
Step-by-step explanation:
Rectangles have the same length and same width. So we can deduce that the top side is 5n^2 - 1, and the left side is n + 9.
Now all we need to do is add all 4 sides up:
(5n^2 - 1) + (5n^2 - 1) + (n + 9) + (n + 9)
or
2(5n^2 - 1) + 2(n + 9)
= 10n^2 - 2 + 2n + 18
= 10n^2 + 2n + 16
Anna does sit-ups to get ready for her first triathlon. When she starts, she does a sit-up every 222 seconds. But, as she gets tired, each sit-up takes longer and longer to do. Is the number of sit-ups Anna does proportional to the time she spends doing them? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
Answer:
Choice B) No.
Step-by-step explanation:
When she starts , she does a sit-up every 222 seconds.
But as she gets tired, each sit-up takes longer and longer to do.
It means, each sit-up takes more time than she did at beginning.
So, it is NOT proportional to the time.
If it is proportional, she should take constant number of sit-ups even she get tired.
Answer:
No
Step-by-step explanation:
Khan
4. A deposit of $4000 is made into a savings account that pays 2. 48% annual interest rate compounded quarterly.
A = P(1 + 3)"
A - amount in account
P = principal invested
r = annual interest rate
n = number of times per year that interest is compounded
t = number of year
How much money will be in the account after three years?
The total amount accrued, principal plus interest, with compound interest on a principal of $4,000.00 at a rate of 2.48% per year compounded 4 times per year over 1 years is $4,100.13.
Compound interest CalculationGiven Data
Principal p= $4000Rate r = 2.48%Time = 1 yearA = P + I where
P (principal) = $4,000.00
I (interest) = $100.13
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 2.48/100
r = 0.0248 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 4,000.00(1 + 0.0248/4)^(4)(1)
A = 4,000.00(1 + 0.0062)^(4)
A = $4,100.13
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who’s is combined thickness of these shims: 0.008, 0.125, 0.15, 0.185 and 0.005 cm?
0.338 is the answer
hope this helped
Based on the information, the combined thickness will be 0.3338.
From the information given, we are told to find the combined thickness of these shims: 0.008, 0.125, 0.15, 0.185 and 0.005 cm.
This simply means that we need to add the decimals. This will be:
= 0.008 + 0.125 + 0.15 + 0.185 + 0.005
= 0.3338 cm
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The volume of a rectangular prism having length 5m width 6m and height 8 m. what is the volume of the figure
Answer:
someone pls correct me if im wrong but your supposed to do L x W x H
Step-by-step explanation:
so you would do 5x6x8
not sure if that is right or not that what we did in class hope that helps =)
Answer:240
Step-by-step explanation:
5*6*8=240
can you help me on this question?
Answer:
0? and 14?
Step-by-step explanation:
thats what I see im so sorry if im wrong
Can anyone help me with my homework, it would be greatly appreciated.
Answer:
The answer is 2.8 because it is the same length as the other side
Step-by-step explanation:
1. An object is propelled off of a platform that is 75 feet high at a speed of 45 feet per second (ft./s). The height of the object off the ground is given by the formula h(t) = -16t^2 + 45t + 75, where h(t) is the object's height at time (t) seconds after the object is propelled. The downward negative pull on the object is represented by -16t^2. Solve for t.
Directions:
Read each problem carefully. Solve each quadratic equation for the variable(s) specified. Be sure to show all of your work. Explain in two to three sentences what the meaning of the solution(s) are in relation to the problem situation
Answer:
3.987923694
Step-by-step explanation:
Quadratic formula and plug in the numbers:
T = (-45 +-(sqrt(2025+4800)))/-32
the object will be at a height of 0 feet 0.97 seconds and 4.53 seconds after it is propelled.
How do we calculate?h(t) = -16t² + 45t + 75
-16t² + 45t + 75 = 0
using the quadratic formula:
t = (-b ± √(b² - 4ac)) / (2a)
a = -16, b = 45, and c = 75.
We then Substitute these values into the quadratic equation
t = (-(45) ± √((45)² - 4(-16)(75))) / (2(-16)
t = (-45 ± √(2025 + 4800)) / (-32)
t = (-45 ± √6825) / (-32)
We find the value of t using both the positive and negative square root:
t₁ = (-45 + √6825) / (-32)
t₂ = (-45 - √6825) / (-32)
t₁ =0.97 seconds
t₂= 4.53 seconds
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PLEASE ANSWER QUICK On a number line, a segment has endpoints of -2.5 and 4.5. What is the midpoint?
Answer: 2
Step-by-step explanation: See all you have to do is have 4.5 + -2.5 and the answer from that is your midpoint
Edit: This is for a number line
Which of the following set of coordinate pairs represent a function?
1. (-5, 3), (-1, 0), (3,-4), (-1,2)
2. (0,-4), (5,3), (-4,3), (3,2)
3. (1,5), (-1, 3), (3, 4), (1, 2)
4. (4, 4), (4, 3), (4, 2), (4, 1)
I'm absolutely certain that the answer is 2. (0,-4), (5,3), (-4,3), (3,2) because in a function, x does not repeat
I hope this helps, love!
Which of the following represents the fastest speed in miles per hour?
a. 8 miles in ⅙ hour b. 10 miles in ⅕ hour c. 6 miles in ⅐ hour
Answer: B 10 miles in 1/5 hour
Step-by-step explanation:
Are these equations the same ? True or false.
10 - x ≤ 35
- x ≤ 35 - 10
- x ≤ 25
x ≥ - 25
true
Number 7. Please asap.
7a)
[tex]\frac{n(n - 3)}{2} = 665\\n(n - 3) = 665 \cdot 2\\n(n - 3) = 1330\\n^2 - 3n = 1330\\n^2 - 3n - 1330 = 0\\n = \frac{-(-3) \pm \sqrt{(-3)^2 - 4 \cdot 1 \cdot (-1330)}}{2 \cdot 1} = \frac{3 \pm \sqrt{9 + 5320}}{2} = \frac{3 \pm \sqrt{5329}}{2} = \frac{3 \pm 73}{2}\\n_1 = \frac{3 + 73}{2} = \frac{76}{2} = 38\\n_2 = \frac{3 - 73}{2} = \frac{-70}{2} = -35[/tex]
If n is the amount of sides then there's 38 sides in a polygon with 665 diagonals
7b)
We do the same as 7a) but with 406. We get that [tex]n_1 = 30.04[/tex] and [tex]n_2 = -27.04[/tex]. A polygon cant have 30.04 sides
Answer: A. 38 sides
B. When solved, you get -27.04 sides or 30.04 sides. Neither of these are possible because the number of sides cannot be negative or a decimal.
Step-by-step explanation: Part A:
If the polygon has 665 diagonals, set your original n-sided polygon equal to it.
n(n - 3)/2 = 665
Multiply both sides by 2 so it’s not in the denominator.
n(n - 3) = 1330
Distribute n and subtract 1330 from both sides so it is equal to zero.
n² - 3n - 1330 = 0
Factor it:
(n - 38)(n * 35) = 0
Solve for n by setting it equal to zero:
n = 38 & n = -35
The number of sides cannot be negative, therefore, the answer to Part A is 38 sides.
Part B:
Set your original n-sided polygon equal to 406 and solve to prove that a polygon cannot have 406 diagonals.
n(n - 3)/2 = 406
Multiply both sides by 2 so it’s not in the denominator.
n(n - 3) = 812
Distribute n and subtract 812 from both sides so that it is equal to zero.
n² - 3n - 812 = 0
This cannot be factored, so plug it into the Quadratic Formula. Here are the values you need for the Quadratic Formula based on the polynomial above:
a = 1
b = -3
c = -812
When you solve this, you will get:
n = -27.04 and n = 30.04
A polygon cannot have negative sides and it cannot have decimal sides. It has to be a positive integer (positive whole number).
Write a proof for the statement.
If a quadrilateral is a square, then the quadrilateral is a rectangle.
Solve for x in the circle below. Show your work, equations, and mark your answer.
Answer:
x = -8
Step-by-step explanation:
The sum of arcs of a semicircle is 180°. That means the arc whose measure is -11x+12 has a measure of 180° -80° = 100°.
-11x +12 = 100
-11x = 88 . . . . . . subtract 12
x = -8 . . . . . . . divide by -11
pls help and please give a serious and right answer thx :D
Answer:
AC=16
Step-by-step explanation:
6x+2=5x+3
6x-5x=3-2
X=1
——-
6(1)+2+5(1)+3=16
Consider the function represented by the table.
What is f(0)?
4
5
6
7
Answer:
f(0) = 4
Step-by-step explanation:
just trust me on this one
Answer:
a on edge.
Step-by-step explanation:
f(0) = 4
In the figure, c ∥ d. What are the measures of ∠1 and ∠2? Enter your answers in the boxes.
AlternativeText
m∠1 = °, m∠2 =
Angle 1 is 105 degree
Angle 2 is 75 degree
A cone has a radius of 6 inches and a height of 20 inches.
What is the EXACT volume of the cone?
Answer:
753.98224
Step-by-step explanation:
v=pie r^2 h/3=piex6^2x20/3=753.98224
zoe watched 6 episodes of her favorite online video series in 1.5 hours . She spent the same time watching each episode . What is the unit rate of hours to episodes?
Answer:
15 min
Step-by-step explanation:
6 episodes in 1.5 hrs.
1 episode in 1.5/6 hr.
i.e. 1.5*60/6 min
=15 min
Marlena solved the equation 2x + 5 = –10 – x. Her steps are shown below.
2x + 5 = –10 – x
3x + 5 = –10
3x = –15
x = –5
Answer:We are asked to evaluate Marlena's solution in solving the expression below: 2x+5 = -10 -x
The first step is to re-write the expression and transpose same terms in the left side while all numbers are transferred to the right side such as shown below:
Step 0: 2x+5 = -10 -x
Step 1: 2x + x = -10 -5
Step 2: 3x = -15
Step 3: x =-15/3
The answer is x=-5.
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
HELP A GORL OUT PLEASE
Answer:B
Step-by-step explanation:
May someone tell me why is this wrong?
Answer:
ummm maybe because you used [ instead of ( ?
Step-by-step explanation:
i feel like yours should be correct though since its including -3
can someone help me with this?
someone help with this please
PLEASEEEE HELP QUICK THIS IS DUE TONIGHT I WIL GIVE BRAINLIEST!!
Answer: 2
Step-by-step explanation:
y2 - y1/ x2 -x1 = Slope
-9-3/0-6
-12/-6
x = 2
Please help,
with capital held constant, when zane employs one additional worker, the marginal product of labor decreases by 5 units. which economic concept best characterizes zane’s production process
The economic concept that best characterizes zane’s production process is diminishing marginal product.
What is diminishing marginal product?Diminishing marginal product is an economic concept which states that says as more quantities of a variable input in the production process is added to a fixed factor used in production, output might increase initially but after a point total output would increase at a decreasing rate and marginal product would begin to decrease.
To learn more about diminishing marginal product, please check: https://brainly.com/question/13923885
Help plz please help!!!
Step-by-step explanation:
Hey there!
3x + (4x+5)° = 180° {sum of co-interior angle 180°}
7x= 180°-5°
7x= 175°
[tex]x = \frac{175}{7} [/tex]
Therefore, X= 25°.
Hope it helps...
The speed limit on a road is 45 mph. you want to clock the speed of a random sample of cars to test the hypothesis that the average speed of cars is greater than the speed limit. what kind of test would you use?
The test that we would use to test the hypothesis that the average speed of cars is greater than the speed limit is: One sample t-test
When do we use one sample t-test?When we want to find out from the sample if the unknown population mean is different from some specific value, then we can use one sample t-test.
The test statistic is:
[tex]t = \dfrac{\overline{x} - \mu_0}{s/\sqrt{n}}[/tex]
where we have:
[tex]\overline{x}[/tex]= mean of the samples = sample standard deviation[tex]\mu_0[/tex] = the specific value we're comparing population mean with.n = sample sizedegree of freedom = n - 1For this case, we want to test the hypothesis that the average speed of cars is greater than the speed limit.
That means we want to know if
unknown population mean (the average speed of cars) > speed limit (45).
symbolically, we want to test if [tex]\mu > 45[/tex] (in miles per hour)
Thus, the test that we would use to test the hypothesis that the average speed of cars is greater than the speed limit is: One sample t-test
Learn more about one sample t-test here:
https://brainly.com/question/25316952
Answer: Right-tailed test
Step-by-step explanation:
I just got it right on edu