Answers
Answer:
A = \(x^{2} +12x+27\)
Step-by-step explanation:
The area of a parallelogram is given by A=b*h where b is the base of the entire shape and h as the perpendicular distance between the bases.
In this case, b=x+9 and h=x+3
A = b*h = (x+9)*(x+3) = \(x^{2} +3x+9x+27\) = \(x^{2} +12x+27\)
Related Questions
Isabella has an allowance of $15.00 per week. you are in bowling league that costs $6.50 for each week, and you save at least $5.00 each week. write and solve an inequality to show how you have left to spend each week.
what's the answer to this question?
Answers
Answer:
6.5+5=11.5-15
3,5
Step-by-step explanation:
A trigonometric graph has the equation y=2cos2∅. State the amplitude of this graph?
Answers
Answer:
amplitude = 2
Step-by-step explanation:
Given
y = a cosbx
amplitude = | a | , period = \(\frac{2\pi }{b}\)
y = 2cos2∅
with amplitude = | 2 | = 2
Answer:
\(\displaystyle 2\)
Step-by-step explanation:
\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|\)
With the above information, you should now tell what the amplitude value is.
I am joyous to assist you at any time.
Write the equation of the line that passes through the given points. (0,2) and( 2,11)
Answers
Answer:
9/2
Step-by-step explanation:
f(x) = |3x+2|+4 ; translation 3 units down. I just need to write a function not graph
Answers
Answer
f(x) = |3x + 2| + 1
Step-by-step explanation:
Given the function
f(x) = |3x + 2| + 4
Moving 3 units down
f(x) = |3x + 2| + 1
write each ratio in simplest form 5 hours to 10 min
Answers
Answer:
1 hour to 2 min.
Step-by-step explanation:
Simplest form 5 hours to 10 min in ratio is 30:1.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
We need to write the ratio in simplest form 5 hours to 10 min
We know an hour has sixty minutes
1 hour=60 minutes
5 hours has 5×60=300 minutes
So the ratio can be written as 300:10
The simplified ratio will be 30:1
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What is the value of f(-2)for the function f(x)=2(3)^x
Answers
Answer: f(-2)=2/9
Step-by-step explanation:
Just plug in x for -2 and solve.
f(2)=2(3)^-2
=2/9
f(-2)=2/9
Answer:
f(-2)=0.2222222222
Step-by-step explanation:
2(3)^-2
5^-2
0.2222222222
Which rule is a recursive rule for the sequence
1, – 6, 36, – 216,
...?
Ο o An
-
6. An-1
ο o an
.
6
An-1
o an
6. An-1
1
ο o an
-
.
6
an-1
1
2
3
Answers
Need help plzzzzz helpppp 20 points and if right I will mark brainlest
Answers
Answer:
Hi! Okay so i tried to find all the x and y intercepts that matched with (-4,7) and the closest one is C I'm not 100% sure its correct but its the only one that makes the most sense, its coordonated are (-8,4) i'm so sorry if u get it wrong
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Don't worry i wont ask for brainliest this time☆
Have a nice day!!!!!!!
- Brooklynn Deka
Find the angle between the vectors u = √5i -8j and v= √5i+j-4k. The angle between the vectors is 0 radians. (Do not round until the final answer. Then round to the nearest hundredth as needed.)
Answers
To find the angle between the vectors u = √5i - 8j and v = √5i + j - 4k, we can use the dot product formula and the magnitudes of the vectors.
The dot product of two vectors u and v is given by:
u · v = |u| |v| cos(θ)
where |u| and |v| are the magnitudes of u and v, respectively, and θ is the angle between the vectors.
First, let's calculate the magnitudes of the vectors:
|u| = √(√5² + (-8)²) = √(5 + 64) = √69
|v| = √(√5² + 1² + (-4)²) = √(5 + 1 + 16) = √22
Now, let's calculate the dot product of u and v:
u · v = (√5)(√5) + (-8)(1) + 0 = 5 - 8 = -3
Substituting the magnitudes and dot product into the dot product formula, we have:
-3 = (√69)(√22) cos(θ)
To find the angle θ, we can rearrange the equation:
cos(θ) = -3 / (√69)(√22)
Using the inverse cosine function, we can find the angle:
θ = arccos(-3 / (√69)(√22))
≈ 124.30° (rounded to the nearest hundredth)
Therefore, the angle between the vectors u = √5i - 8j and v = √5i + j - 4k is approximately 124.30 degrees.
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Evaluate the expression −x^2 + 2x-7 when X=-4
Answers
-(-4)^2+2(-4)-7
-16-8-7
=-31
What relationship is represented by the graph
Answers
Answer:
the third one
Step-by-step explanation:
area of a circle vs. it's diameter
Question three :
it has been established over a long period of time that the
probability that an electricity company operative will be able to take
a reading from a house meter, due to the resident being at home, is
0.4.
a) determine the probability that the first reading to be taken will be
on, or before, the th 7 house visit. b) find the probability that the
operative will be able to take ...
i. ... exactly 3 readings in his first 7 visits.
ii. ... his 3rd reading on his 7th visit.
iii. ... his 3rd reading on, or before his 7th visit.
Answers
The probability that the first reading to be taken will be on, or before, the 7th house visit is 0.97, the probability that the operative will be able to take exactly 3 readings in his first 7 visits is 0.29, the probability that the operative will be able to take his 3rd reading on his 7th visit is 0.12 and the probability that the operative will be able to take his 3rd reading on, or before his 7th visit is 0.58.
Probability that an electricity company operative will be able to take a reading from a house meter is 0.4.
So p = 0.4
We can use binomial distribution to solve.
Case 1: the probability that the first reading to be taken will be on, or before, the 7th house visit
= 1 - 7C0 × 0.4⁰ × (1 - 0.4)⁷
= 1 - 1×1×0.6⁷
≈ 0.97
Case 2: the probability that the operative will be able to take exactly 3 readings in his first 7 visits.
= 7C3 × 0.4³ × (1 - 0.4)⁴
= 7!/ (3!4!) × 0.4³ × 0.6⁴
≈ 0.29
Case 3: the probability that the operative will be able to take his 3rd reading on his 7th visit.
= 6C2×0.4²×0.6⁴ × 1C1×0.4¹×0.6⁰
≈ 0.12
Case 4: the probability that the operative will be able to take his 3rd reading on, or before his 7th visit.
= 7C3×0.4³×0.6⁴ + 7C4×0.4⁴×0.6³ + 7C5×0.4⁵×0.6² + 7C6×0.4⁶×0.6¹ + 7C7×0.4⁷×0.6⁰
≈ 0.58
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What is the volume of a cylinder, in cubic m, with a height of 8m and a base diameter of 4m? Round to the nearest tenths place. HELP
Answers
Given that the base diameter is 4m, the radius (r) can be calculated by dividing the diameter by 2:
r = 4m / 2 = 2m
Now we can substitute the values into the formula:
V = π(2m)²(8m)
V = π(4m²)(8m)
V = 32πm³
To round the volume to the nearest tenth, we can use the approximate value of π as 3.14159:
V ≈ 32 × 3.14159 ≈ 100.53096m³
Rounding to the nearest tenth:
V ≈ 100.5m³
Therefore, the volume of the cylinder is approximately 100.5 cubic meters.
I hope this helps! :)
Identify the smallest relation containing the relation R = {(a, b) | a > b} on the set of positive integers that is both reflexive and symmetric.
a. A.R = {(a, b) | a ≥ b}
b. B.R = {(a, b) | a = b and a ≠ b}
c. C.R = {(a, b) | a = b or a ≠ b}
d. D.R = {(a, b) | a > b or a < b}
Answers
C.R = {(a, b) | a = b or a ≠ b} is the smallest relation containing the relation R = {(a, b) | a > b} on the set of positive integers that is both reflexive and symmetric. Therefore, the correct option is c.
The relation R = {(a, b) | a > b} on the set of positive integers is a non-reflexive relation because there are no elements in R that are of the form (a, a). To make it reflexive, we need to add elements of the form (a, a) to the relation R. However, we also need to ensure that the relation remains symmetric.
Option a, A.R = {(a, b) | a ≥ b}, contains all the elements of R, including those of the form (a, b) where a > b, and also includes elements of the form (a, a). However, it is not symmetric because if (a, b) is in A.R, then (b, a) is not necessarily in A.R.
Option b, B.R = {(a, b) | a = b and a ≠ b}, only contains elements of the form (a, a) where a is a positive integer. It is reflexive but not symmetric because (a, a) is in B.R but (a, b) or (b, a) is not in B.R for any a and b where a ≠ b.
Option c, C.R = {(a, b) | a = b or a ≠ b}, is the smallest relation that contains R and is both reflexive and symmetric. It contains all elements of R as well as elements of the form (a, a) for all positive integers a. Since it includes both (a, b) and (b, a) for any two positive integers a and b, it is also symmetric.
Option d, D.R = {(a, b) | a > b or a < b}, contains all elements of R and also includes elements of the form (a, b) where a < b. It is not reflexive because it does not contain any elements of the form (a, a) for any positive integer a.
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Jordan spent a total of $14.85 on a trip to the zoo. She spent $6.50 to get into the zoo, $2.85 on snacks, and the rest on bus fares. How much did she spend on bus fares to and from the zoo? A) $5.05 B $5.50 C $8.35 D $9.35 . museum announces that it has just
Answers
Answer:
To find your answer you would subtract $6.50 and $2.85 from $14.85
you would get $5.50 so that is how much she spent on a round trip ticket to the zoo.
Step-by-step explanation:
On average, what percentage of infants born to 45-year-old mothers have Down syndrome? 1% 3% 8% 10% 30%
Answers
Well knowing that around
at age 40 giving birth to a child with down syndrome is about 46% or 47%
but at age 45 I'm pretty sure it's 3%
Hope this helps!
Find the value of x ,if (3/8)9 (8/3)-5 = (3/8)2x
Answers
Answer:
16/3
Step-by-step explanation:
Phil spent $21 of his $115 pocket money on eating out for one meal. What percent of Phil's pocket money did he spend on eating out for one meal? Round your answer to the nearest hundredth.
Answers
Phil spent 18.26% of his pocket money on eating out for one meal.
How do you calculate the percentage difference between two values?The following is the formula for calculating the percentage difference between two values:
100% of ((new value - old value) old value)
In order to describe the change as a percentage, this formula calculates the difference between the new and old values, divides that difference by the old value, and multiplies the result by 100.
Given that, Phil spent $21 of his $115 pocket money.
Thus,
$21 ÷ $115 × 100% = 18.26%
Hence, Phil spent 18.26% of his pocket money on eating out for one meal.
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can someone help with graphs
Answers
Answer:
here u go..............
Question
Solve for x.
3/5(x−7/10)=−314
Enter your answer as a mixed number in simplest form in the box.
x =
Answers
Answer:
x = -522 19/30
Step-by-step explanation:
To solve for x, distribute the 3/5. This gives us 3/5x - 21/50 = -314. Add over 21/50 to the other side, allowing for 3/5x to equal -313 29/50. Divide by 3/5 on both sides and we get x equal to -522 19/30. This is the final answer as a mixed number and is also in simplest form.
help I cant figure it out
Answers
Answer:
B. 3 - 5.5 + 1.5
Step-by-step explanation:
Because you start at 0 and then move positive 3 on the number line negative 5.5 and then positive 1.5 again.
Hope this helps!
Have a nice day!
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What's the distance between the points (6,2) and (1,2) round to the nearest tenth
Answers
Answer: The distance is 5
Step-by-step explanation:
The formula for finding distance is \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Given
x1=6
y1=2
x2=1
y2=2
Solve
\(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
=\(\sqrt{(1-6)^2+(2-2)^2}\)
=\(\sqrt{(-5)^2+(0)^2}\)
=\(\sqrt{25}\)
=\(5\)
Hope this helps!! :)
Please let me know if you have any questions
The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not. A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.34, 0.66, 1.0. The third column is labeled not taking a foreign language with entries 0.64, 0.36, 1.0. The fourth column is labeled total with entries 0.4, 0.6, 1.0. Table B: Frequency of Foreign-Language Studies by Row A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.68, 0.88, 0.8. The third column is labeled not taking a foreign language with entries 0.32, 0.12, 0.2. The fourth column is labeled total with entries 1.0, 1.0, 1.0. Which table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”
Answers
Answer:
it's B
Step-by-step explanation:
Just took the test
Answer:
Its b
Step-by-step explanation:
Last week, a chocolate shop sold 3 ounces of white chocolate. It sold 2 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
Answers
Answer:
8.7 ounces
Step-by-step explanation:
3*(29/10)=8.7
Meredith is two times as old as chase. Ginger is 54 older then Chase. Their combined ages total 126. How old is each of them?
Answers
Step-by-step explanation:
an electronic store receives shipment of 12 graphing calculators of which 4 are defective. six of the calculators are selected to be sent to a local high school. what is the probability that exactly one is defective?
Answers
The probability of selecting exactly one defective calculator out of the 6 sent to the local high school is 0.29166.
The probability of selecting exactly one defective calculator out of the 6 sent to the local high school can be calculated using the binomial probability formula. The binomial probability formula is \(P(x) = nCx * p^x * q^(n-x)\). For this problem, n = 6 (the number of calculators sent to the local high school), x = 1 (the number of defective calculators selected), p = 4/12 (the probability of selecting a defective calculator from the shipment of 12 calculators), and q = 8/12 (the probability of selecting a non-defective calculator from the shipment of 12 calculators). Plugging these values into the formula gives \(P(x) = 6C1 * 4/12^1 * 8/12^5\), which simplifies to 0.29166. This means that the probability of selecting exactly one defective calculator out of the 6 sent to the local high school is 0.29166.
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anyone know the answer :) thank you
Answers
Answer:
Choice A
Step-by-step explanation:
A = 1/2 (b1+b2)h
Multiply each side by 2
2A = (b1+b2)h
Divide each side by (b1+b2)
2A/ ((b1+b2) = h
Answer:
A
Step-by-step explanation:
We have to isolate h on one side.
First, we remove the 1/2 multiplying by H by multiplying both sides by 2
Which results with:
2A = h(b1+b2)
next we have to get rid of (b1+b2) by
dividing both sides by (b1+b2)
2A/(b1+b2)=h
Match the following reasons to the statements given. Given: A B E F is a parallelogram E B | | D C Prove: A C D F is a parallelogram. 1. A B E F is a parallelogram, E B||D C Definition of parallelogram 2. A F||B E, F E||A B Opposite sides of a parallelogram are || 3. A F||C D Transitive 4. F D||A C Given 5. A C D F is a parallelogram. Part of lines F E and A B
Answers
Answer:
See below
Step-by-step explanation:
Added as picture due some issue
Question 8 (4 points) Find the values of x and y if NO = x + 2y, MO = 3x, PQ = 6x + 4, and OQ = 2y + 4.
Answers
Answer:
x = 12 and y = 16
Step-by-step explanation:
Given the following lengths;
NO = x + 2y,
MO = 3x,
PQ = 6x + 4, and
OQ = 2y + 4.
The following postulates are true;
MN = PQ
Since MO + ON = MN
MN = 3x + x+2y
MN = 4x + 2y
Recall that PQ = 6x+4
Equating both expressions;
4x + 2y= 6x+4
Collect like terms;
4x-6x + 2y = 4
-2x + 2y = 4
x - y = -4 ...... 1
Also MO = OQ
3x = 2y + 4
3x-2y= 4 ....2
from 1; x = -4 + y
Substitute into 2:
3x-2y= 4
3(-4+y)-2y = 4
-12+3y-2y = 4
-12+y = 4
y = 4 + 12
y = 16
Since x = -4+y
x = -4 + 16
x = 12
Hence x = 12 and y = 16
The inside diameters of bearing used in an aircraft landing gear assembly are known to have a standard deviation =.002 cm. A random sample of 15 bearings was selected from a production run and an average inside diameter of 8.2535 cm was found. 1.Test the inypothesis that the mean inside bearing diameter is 8.25 cm. Use a two sided hypothesis test to evaluate the mean bearing diameter and assume an alpha =,05 2. Corstruct 795% two sided Conlidence interval for this problem 3.State your conclusion (whether you accept or reject the null hypothesis and justify your answer) Use complete sentences when answering.
Answers
1. The test statistic falls outside the critical t-values therefore we reject the null hypothesis
2. The confidence interval is constructed as CI = x ± (t_(α/2, df) * (σ / √n))
3. The conclusion is there is sufficient evidence to suggest that the mean inside bearing diameter is different from 8.25 cm
1. Hypothesis Testing:
Null hypothesis (H₀): The mean inside bearing diameter is 8.25 cm.
Alternative hypothesis (H₁): The mean inside bearing diameter is not equal to 8.25 cm.
We will conduct a two-sided hypothesis test using a significance level (alpha) of 0.05.
Given:
Sample size (n) = 15
Sample mean (x) = 8.2535 cm
Standard deviation (σ) = 0.002 cm
To test the hypothesis, we will use a t-test since the population standard deviation is unknown and the sample size is small.
Calculate the test statistic (t-value):
t = (x - μ) / (σ / √n)
where μ is the hypothesized mean under the null hypothesis.
t = (8.2535 - 8.25) / (0.002 / √15)
t = 6.77
Calculate the critical t-values for a two-sided test at a 95% confidence level (alpha = 0.05):
Since the sample size is small (n = 15), we will use the t-distribution and degrees of freedom (df = n - 1 = 14) to find the critical t-values.
t_critical = ± t_(α/2, df)
If you look up the critical t-value for alpha/2 = 0.025 and df = 14 in the t-table or use a statistical calculator, we have 2.51
t_critical = 2.51
Compare the test statistic to the critical t-values:
Since the test statistic falls outside the critical t-values, we reject the null hypothesis.
2. Confidence Interval:
To construct a 95% confidence interval, we will use the formula:
CI = x ± (t_(α/2, df) * (σ / √n))
3. Conclusion:
Since the test statistic falls outside the critical t-values, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the mean inside bearing diameter is different from 8.25 cm.
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