868.4cm² =? m²
Simplify your answer. Type an integer or a decimal
Answer:
0.08684 m²
Step-by-step explanation:
1 m = 100 cm
1 m² = (100 cm)²
1 m² = 10000 cm²
868.4 cm² × (1 m²)/(10000 cm²) = 0.08684 m²
here is the histogram of a data distribution. all class widths are 1. which of the following numbers is closest to the mean of this distribution a)3 b)5 c)4 d)9 e)7
The number 5 is closest to the mean of the distribution, option (B) is correct.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
From the histogram:
2, 6, 4, 2, 0, 1, 6, 4, 2, 1
The sum of the above data = 28
= 2×1+6×2+4×3+2×4+0×5+1×6+6×7+4×8+2×9+1×10
= 2+12+12+8+6+42+32+18+10
= 142
Mean = 142/28
= 5.07
Thus, the number 5 is closest to the mean of the distribution option (B) is correct.
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Answer:4
Step-by-step explanation:jus done this question
All-purpose carpeting costs $27.50 per square meter. What is the cost of carpeting a room from
wall to wall whose dimensions are 360 centimeters × 400 centimeters?
Step-by-step explanation:
I'm not sure if I got the correct answer since English is not my first language
A dance CD has 10 songs on it - 8 are slow, and 2 are fast. When the DJ at a dance plays a song it is not played again. All songs from the CD are played at random.
What is the probability that the first two songs played are slow songs?
The probability that the first two songs played are slow songs is approximately 0.622 or 62.2%.
To calculate the probability that the first two songs played are slow songs, we need to consider the total number of ways the first two songs can be selected and the number of ways to choose two slow songs out of the eight available.
Given:
Total number of songs = 10
Number of slow songs = 8
Step 1: Calculate the total number of ways to choose two songs out of ten (without replacement), which is represented by "10C2" (combinations of 10 things taken 2 at a time):
10C2 = (10 * 9) / (2 * 1) = 45
Step 2: Calculate the number of ways to choose two slow songs out of eight:
8C2 = (8 * 7) / (2 * 1) = 28
Step 3: Find the probability that the first two songs played are slow songs by dividing the number of favorable outcomes (choosing two slow songs) by the total number of possible outcomes (choosing any two songs from the CD):
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 28 / 45 ≈ 0.622
So, the probability that the first two songs played are slow songs is approximately 0.622 or 62.2%.
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Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
f (x) = 2 x squared. G (x) = negative 2 x squared
a.
f opens downward; g opens upward; both pass through different y-intercepts
b.
both open downward; both pass through (0, 0)
c.
both open upward; both pass through different y-intercepts
d.
f opens upward; g opens downward; both pass through (0, 0)
The function f(x) opens upwards, while g(x) opens downwards, and both functions pass through (0, 0), so the correct option is d.
What are the similarities/differences observed?
Here we have the two functions:
[tex]f(x) = 2x^2[/tex]
[tex]g(x) = -2x^2[/tex]
Notice tat g(x) = -f(x), which means that g(x) is a reflection across the x-axis of f(x).
The graphs of these functions can be seen below, the one that opens upwards is f(x), the one that opens downwards is g(x).
Then we can conclude that the true statement is:
"f opens upward; g opens downward; both pass through (0, 0)"
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HELP! ASAP PLS! find the surface area of this solid
Answer: 855 I think :)
help please please 100pts no trolls please
Answer:
21.8 m/s
Step-by-step explanation:
Given that Tom drops a object from a height of h meters and it hits the ground with a veloc8of v m/s and it is given by function ;
[tex]\longrightarrow v =\sqrt{19.6h}[/tex]
We need to find out the velocity upon reaching the ground when it is dropped from a height of 24.3 m . On plugging in 24.3 in place of h we have ,
[tex]\longrightarrow v =\sqrt{19.6\times 24.3 }\ m/s\\\\\longrightarrow v =\sqrt{ 476.28} m/s \\\\\longrightarrow v = 21.823 \ m/s \\\\\longrightarrow \underline{\underline{ v = 21.8 \ m/s }}[/tex]
And we are done !
Answer:
21.8
Step-by-step explanation:
The formula is given :
v = √(19.6h)Given that h = 24.3 m, we need to find v.
Substituting the value of h in the formula :
v = √(19.6)(24.3)v = √476.28v = 21.8 m/s (nearest tenth)A roast beef sandwich costs $6.75. A customer buys multiple roast beef sandwiches. Write an equation that represents the situation. Use x to represent the number of roast beef sandwiches. Then determine how many sandwiches the customer buys.
Answer:
1. 6.75x or (6.75, 1)
2. buys 9 sandwiches.
Step-by-step explanation:
hope this helps if not let me know have a blessed day
Consider the differential equation (x - 1)y" + y' = 0. By using power series so- lution about the ordinary point 0 we obtain: c_{k+1)=[(k+1)/(k+2)] C_(K); k=1,2,3.... c_(K+2)=[(k+1)/(k+2)] C_(K+1); k=0,1,2,3... None of them c_(k+2)=[(k+1)/(k+2)] C_(k+1); k=1,2,3....
Given the ODE
(x - 1) y'' + y' = 0
we assume a solution of the form
[tex]y(x) = \displaystyle \sum_{n=0}^\infty c_n x^n[/tex]
with derivatives
[tex]y'(x) = \displaystyle \sum_{n=0}^\infty n c_n x^{n-1} = \sum_{n=0}^\infty (n+1) c_{n+1} x^n[/tex]
[tex]y''(x) = \displaystyle \sum_{n=0}^\infty (n+1) n c_{n+1} x^{n-1} = \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n[/tex]
Substituting these series into ODE gives
[tex]\displaystyle (x - 1) \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n + \sum_{n=0}^\infty (n+1) c_{n+1} x^n = 0[/tex]
[tex]\displaystyle \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^{n+1} - \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n + \sum_{n=0}^\infty (n+1) c_{n+1} x^n = 0[/tex]
[tex]\displaystyle \sum_{n=1}^\infty (n+1)n c_{n+1} x^n - \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n + \sum_{n=0}^\infty (n+1) c_{n+1} x^n = 0[/tex]
[tex]\displaystyle \sum_{n=1}^\infty \bigg((n+1)n c_{n+1} - (n+2)(n+1) c_{n+2} + (n+1) c_{n+1}\bigg) x^n - 2c_2 + c_1 = 0[/tex]
[tex]\displaystyle \sum_{n=1}^\infty \bigg((n+1)^2 c_{n+1} - (n+2)(n+1) c_{n+2}\bigg) x^n - 2c_2 + c_1 = 0[/tex]
[tex]\displaystyle \sum_{n=0}^\infty \bigg((n+1)^2 c_{n+1} - (n+2)(n+1) c_{n+2}\bigg) x^n = 0[/tex]
Then the coefficients [tex]c_n[/tex] are given recursively by
[tex](n+1)^2 c_{n+1} - (n+2)(n+1) c_{n+2} = 0[/tex]
for all n ≥ 0, or equivalently,
[tex]c_{n+2} = \dfrac{n+1}{n+2} c_{n+1}[/tex]
which most closely resembles the second choice.
on a piece of paper, graph:
Answer:
every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false
Two tickets to the movies cost $16. If two drinks add $4.56 to the total, how much change should be received from $25?
Answer:
total cost =$ 16 +$ 4.56=$ 20.56
change received = $25 - $ 20.56 = $4.44 .
Step-by-step explanation:
therefore your answer is 4,44 hope this helps
the cuboid has dimension 25cm by 10cm by 8cm the volume is
2000cm³.
The volume of any 3d shape is the length x height x width.
This case it is 25 x 10 x 8.
5. A rectangle whose length and width are 10 and 6, respectively, is shown below. The rectangle is continuously
rotated around a straight line to form an object whose volume is 150.
6
10
hich line could the rectangle be rotated around?
A. a long side
B. a short side
C. the vertical line of symmetry
D. the horizontal line of symmetry
TheThe line that the rectangle could be rotated around is: C. the vertical line of symmetry.
Vertical line of symmetryAnalysis
Volume=Base area×height
If the rectangle rotated around horizontal line of symmetry
V1=Ah=πr²h
=π×9×10
=90π
If the rectangle rotated around short line
V2=Ah=πr²h
=π×10²×6
=π×100×6
=600π
If the rectangle rotated around vertical line of symmetry
V3=Ah=πr²h
=π×5²×6
=π×25×6
=150π
Therefore the correct option is C.
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A bakery had 953 bags of suger a baker used 32 of these bags to make pies how many bags does the bakery stil have?
Answer: 921 bags
Step-by-step explanation:
We will subtract bags used from the total number of bags.
953 - 32 = 921
The bakery still has 921 bags of sugar.
Complete the sentence to describe the triangle shown.
GHI is _____ and _____.
The square root of X+6= X-6
Answer:
x = 10
Step-by-step explanation:
I assume you mean
sqrt(x + 6) = x - 6
let's square the whole equation :
x + 6 = (x - 6)² = x² - 12x + 36
x² - 13x + 30 = 0
the general solution to a quadratic equation is
x = (-b ±sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -13
c = 30
x = (13 ±sqrt(13² - 4×1×30))/(2×1) =
= (13 ±sqrt(169 - 120))/2 = (13 ±sqrt(49))/2 =
= (13 ± 7)/2
x1 = (13 + 7)/2 = 20/2 = 10
x2 = (13 - 7)/2 = 6/2 = 3
for x = 10 we get for the original equation
sqrt(10+6) = 10-6 = 4
sqrt(16) = 4
4 = 4
so, x = 10 is a valid solution.
for x = 3 we get
sqrt(3 + 6) = 3 - 6 = -3
sqrt(9) = -3
3 = -3
so, this (x = 3) counts as an invalid solution, because most teachers nowadays expect the square root symbol operation to deliver only the positive solution.
although a square root is actually representing both : the positive AND the negative solution, because the negative number multiplied by itself is the same result as the positive number multiplied by itself.
so, actually
sqrt(9) = -3
± 3 = -3
is still correct and valid. but not what your teacher expects most likely.
in my younger days only the square root of a negative number counted as invalid operation (in the space of Real numbers, of course), and therefore only a solution leading to a square root of a negative number was an invalid solution.
Find the area of the figure. Round to the nearest hundredth where necessary.
35 in
37 in
Answer:
Area = 996 in^2
Step-by-step explanation:
First, look at the triangle on top, well, like half of it. You can use Pythagorean theorem to find the missing side. See image. Double it to find the base of the whole triangle. Use Area of a triangle:
= 1/2 b•h
to find the area of the top (the triangle).
The 24, used for the triangle base is also the side length of the square below. See image.
Area of a square is:
Area = s^2
OR, just l×w or b×h,
all the same.
Add together the triangle area and the square's area for the final answer. See image.
Help (ಥ‿ಥ)
Factor the perfect square trinomial 25x2 - 60x + 36.
A. (5x – 4)(5x-9)
B. (5x-6)2
C. (5x - 3)2
D. (5x - 12)(5x - 3).
Answer: B
Step-by-step explanation:
Select the correct answer. What is the solution to |x − 4| ≥ 7? A. -3 ≤ x ≤ 11 B. -11 ≤ x ≤ 3 C. x ≥ 11 or x ≤ -3 D. x ≥ 3 or x ≤ -11
Answer:
C) x ≥ 11 or x ≤ -3
Explanation:
Given following: |x − 4| ≥ 7
Apply absolute rule: If |u| ≥ 0 then u ≤ -a, u ≥ a
Solving stepwise:
⇒ x - 4 ≤ -7, x - 4 ≥ 7
change sides
⇒ x ≤ -7 + 4, x ≥ 7 + 4
add/subtract integers
⇒ x ≤ -3, x ≥ 11
Answer:
x ≥ 11 or x ≤ -3
Step-by-step explanation:
Hi there! Please take a look at the following explanation and let me know in comment if you have any questions!
Given:[tex]\displaystyle \large{|x-4|\geq 7}[/tex]
To solve an absolute inequality, consider the following theorems.
Theorems:For b ≥ 0:
(1) If |x-a| ≥ b then we have x-a ≥ b or x-a ≤ -b so that we end up with x ≥ b+a, x ≤ -b+a
(2) If |x-a| ≤ b then we have -b ≤ x-a ≤ b which can be simplified to -b+a ≤ x ≤ b+a
Step:From the inequality, we use the (1) theorem.
[tex]\displaystyle \large{x-4\geq 7, x-4\leq -7}\\\\\displaystyle \large{x\geq 7+4, x\leq -7+4}\\\\\displaystyle \large{x\geq 11, x \leq -3}[/tex]
Therefore, the answer is x ≥ 11 or x ≤ -3
PLEASE HELP?! IM SO SORRY I AM NOT GOOD AT MATH!!
Answer:
C.
Step-by-step explanation:
-3 7/8 rounds down to -4
4.63 rounds up to 5
-4 x 6 + 5
-24 + 5
-19
her answer (-19.14) also rounds to -19
So yes, it is reasonable and the correct response is C.
If a = (0,0) and b= (8,2) what is the length of ab
Step-by-step explanation:
on the coordinate grid you can imagine a right-angled triangle.
the direct distance between the 2 points is the Hypotenuse (the baseline opposite of the 90° angle).
and the x-coordinate difference and the y- coordinate difference of the 2 points are the 2 legs.
we can then use Pythagoras
c² = a² + b²
with c being the Hypotenuse, a and b being the legs.
so,
distance² = (8-0)² + (2-0)² = 64 + 4 = 68
distance (= length ab) = sqrt(68) = sqrt(4×17) = 2×sqrt(17) =
= 8.246211251...
A survey of 300 farmers in Missouri found that 111 favor the Republican candidate for governor. Construct the 95% confidence interval for the true population proportion of all farmers in Missouri who favor the Republican candidate.
a) 0.280 < p < 0.460
b) 0.324 < p < 0.416
c) 0.368 < p < 0.372
d) 0.315 < p < 0.425
Answer:
b) 0.324 < p < 0.416
Step-by-step explanation:
b) 0.324 < p < 0.416
Find the length of the indicated side.
J
3x + 17
K
8x - 8
The length of side KL is
L
Answer:
KL = 32
Step-by-step explanation:
The triangle is equilateral.
JK = KL3x + 17 = 8x - 85x = 25x = 5Finding KL :
KL = 8(5) - 8KL = 40 - 8KL = 32Based on the data in the two-way table, what is the probability that a person consumes 1,500 to 2,000 calories in a day? A. 0.22 B. 0.28 C. 0.35 D. 0.50
Using it's concept, it is found that the probability that a person consumes 1,500 to 2,000 calories in a day is given by:
D. 0.50
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, it is found that out of 500 people, 250 consume 1,500 to 2,000 calories in a day, hence the probability is given by:
p = 250/500 = 0.5.
Which means that option D is correct.
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Now assume that you are one of the customers purchasing this popular insurance policy with the company. Considering only
your premiums, deductible, and claims, what is the break-even period after which you could make a $10,000 claim for
property damage without the insurance company suffering a loss? Explain your answer.
The break-even period after which you could make a $10,000 claim for
property damage without the insurance company suffering a loss is 15 months.
What is the break-even point?The break-even point is the point at which total revenue is equal to the total cost.
Taking only this customer's premiums, deductible, and claims into account, the break-even time during which the client might submit a $10,000 claim for property damage without causing the insurance company a loss is 15 months.
The corporation will not generate a profit or a loss during this break-even time. Therefore, the following Data and Calculations can be made,
Monthly insurance premium payable = $600 (assumed to be paid monthly)
Deductible on the insurance policy = $1,000
Minimum coverage = 30/50/10
Coverage for injury or death to one person = $30,000
Coverage for injury or death to two or more people = $50,000
Coverage for damage to property = $10,000
Average accidents every year = 2
Total claims cost to the insurance before deductibles = $40,000 ($30,000 + $10,000)
Break-even period = 15($10,000 - $1,000)/$600
This break-even period is calculated by subtracting the deductible from the customer's claim and dividing the result by the monthly insurance cost.
Thus, after a 15-month break-even period, the client might file a $10,000 claim for property damage without the insurance company incurring a loss.
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Answer:
15 months
Step-by-step explanation:
verified with a teacher
Please help quickly
AB=AD and BC=DC
x=?
Answer:
x = 110
Step-by-step explanation:
measure of abd is 35, meaning adb is also 35.
so dab + abd + adb is 180
=> x + 35 + 35 = 180
=> x + 70 = 180
=> x = 180-70
=> x = 110
110 degrees is the value of x.
For the graph, what is a reasonable constraint so that the function is at least 600?
I took the test and got this question wrong, as you can see from the image below. Anyone else want to try?
Answer:
[tex]0 \leqslant x \leqslant 20[/tex]
At a baseball game, a vender sold a combined total of 183 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the
number of sodas and the number of hot dogs sold.
Answer:
61 hot dogs
122 sodas
Step-by-step explanation:
x+x2=183
3x=183
183÷3=
61
A certain car was purchased for $22,500. The car
has a resale value of $14,500 after a useful life of 6
years. What is the annual depreciation expense for
this car?
Annual depreciation expense = $ [?]
Round to the nearest hundredth.
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\$14500\\ P=\textit{initial amount}\dotfill &\$22500\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &6\\ \end{cases}[/tex]
[tex]14500=22500(1 - \frac{r}{100})^{6}\implies \cfrac{14500}{22500}=\left( \cfrac{100-r}{100} \right)^6\implies \cfrac{29}{45}=\left( \cfrac{100-r}{100} \right)^6 \\\\\\ \sqrt[6]{\cfrac{29}{45}}=\cfrac{100-r}{100}\implies 100\sqrt[6]{\cfrac{29}{45}}=100-r \\\\\\ r=100-100\sqrt[6]{\cfrac{29}{45}}\implies r\approx \stackrel{\%}{7.06}[/tex]
Anyone knows this answer
Answer: radius
Step-by-step explanation:
The radius is the distance halfway across a circle. Since C is the center of the circle and E is along the outside, the answer is;
Radius
