9514 1404 393
Answer:
P = 3x +32
Step-by-step explanation:
If we assume the short vertical edge at top center is 10 yards, as it was in two previous problems with this geometry, then we can find the area of the present parking lot as ...
(x-2)(3x) + x(3x -10) +2x(40) = 6x^2 +64x
where the left vertical rectangle is 3x high and x-2 wide; the center area between vertical rectangles is (2x-2)-(x-2) = x wide and (3x-10) high; and the right vertical rectangle is (x-2 +3x)-(2x-2) = 2x wide and 40 high.
As we said, the right vertical rectangle is 2x wide, so the area that has P as one of its dimensions is ...
A = LW = P(2x)
We want this to be the same as the existing area, so ...
2Px = 6x^2 +64x
P = 3x +32 . . . . . divide by 2x
Factor completely: 64x^3+1
Answer:
Step-by-step explanation:
Sum of cubes is a^3+b^3=(a+b)(a^2-ab+b^2)
64x^3+1
(4x+1)(16x^2-4x+1)
A ball thrown horizontally from an apartment balcony hits the ground in 5 seconds. if the horizontal velocity of the ball is doubled, how long will it take to hit the ground? a. 2.5 seconds b. 5.0 seconds c. 7.5 seconds d. 10 seconds e. 12 seconds
Still 5 seconds.
(Assuming the Earth around that building is flat.
A square board was attached to a wall. The board was divided by four squares and each square was colored either black or white. How many possible combinations of such coloring are there, if we cannot rotate the given board? PLEASE HELP QUICK! IM NEW AND I NEED ANSWERES! I HOPE BRAINLY DEOS NOT FAIL ME!
Answer:
24 combinations
Step-by-step explanation:
For this problem, you use factorials. Factorials are when you multiply every number below it except zero. So like the factorial of 3 or 3! is 3*2*1 is 6.
Factorials are used to figure out how many combinations there are of something. So for you, we have 4 different quadrants so we write that as 4! (! is the sign for factorials.)
By the way, welcome to brainly.
A new component is placed in service and nine spares are available. The times to failure in days are independent exponential variables, T i ∼EXP(100). (a) What is the distribution of ∑ i=110T i ? (b) What is the probability that successful operation can be maintained for at least 1.5 years? Hint: Use Theorem 8.3.3 to transform to a chi-square variable. (c) How many spares would be needed to be 95% sure of successful operation for at least two years? If X∼GAM(θ,κ), then Y=2X/θ∼χ
2(2κ) Proof M Y(t)=M 2X/θ(t)=M X(2t/θ)=(1−2t) −2κ/2 which is the MGF of a chi-square distribution with 2κ degrees of freedom. The gamma CDF also can be expressed in terms of the chi-square notation. If X∼GAM(θ,κ), and if H(y;v) denotes a chi-square CDF with v degrees of freedom, then F
X (x)=H(2x/θ;2κ)
The correct answer is the value x such that: P(X ≥ x) = 0.95
(a) The sum of independent exponential variables with the same rate parameter follows a gamma distribution. In this case, since each T_i follows an exponential distribution with a rate parameter of 1/100 (mean of 100), the sum ∑_{i=1}^{10} T_i follows a gamma distribution with shape parameter k = 10 and scale parameter θ = 100. Therefore, ∑_{i=1}^{10} T_i ∼ Gamma(10, 100).
(b) To find the probability of successful operation for at least 1.5 years, we need to calculate the cumulative distribution function (CDF) of the gamma distribution at 1.5 years (547.5 days). Using the gamma CDF, denoted by F_X(x), we have:
P(X ≥ 547.5) = 1 - F_X(547.5)
Using the gamma CDF with shape parameter k = 10 and scale parameter θ = 100, we can calculate this probability.
(c) To determine the number of spares needed to be 95% sure of successful operation for at least two years, we need to find the point where the cumulative distribution function (CDF) of the gamma distribution is 0.95. In other words, we need to find the value x such that: P(X ≥ x) = 0.95
Using the gamma CDF with the appropriate shape and scale parameters, we can solve for x.
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Abcd is a parallelogram. determine the value of a.
The opposite sides of a parallelogram are congruent so a is 15.
3a+7a+2a=180 because the sum of the angles in the triangle BCD is 180 degrees.
3a+7a+2a=180
12a=180
a =180/12
a= 15
(I. e) 3a= 3(15)= 45
7a=7(15)=105
2a=2(15) =30
As a result, angle A=angle C (OPP. Angles of a Parallelogram are Equal) = A = B, D = A (OPP. angles of a parallelogram are equal)
In light of this, 7a=c = c = 105.
OPP sides in a parallelogram are parallel and equal, therefore AB is parallel to CD and BD is a transversal; as a result, angle d=2a (alternative internal angles are equal) translates to d=30.
as well as b=3a (alternative interior angles are equal) resulting in b=45
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12(Multiple Choice Worth 5 points)
(H2.03 MC)
Which of the following is NOT a key feature of the function h(x)?
(x - 5)²
-log₁ x +6
O The domain of h(x) is [0.).
O The x-intercept of h(x) is (5, 0)
h(x) =
0≤x≤4
X>4
O The y-intercept of h(x) is (0, 25).
O The end behavior of h(x) is as x→∞h(x)→∞
The feature NOT associated with the function h(x) is that the domain of h(x) is [0.).
The function h(x) is defined as (x - 5)² - log₁ x + 6.
Let's analyze each given option to determine which one is NOT a key feature of h(x).
Option 1 states that the domain of h(x) is [0, ∞).
However, the function h(x) contains a logarithm term, which is only defined for positive values of x.
Therefore, the domain of h(x) is actually (0, ∞).
This option is not a key feature of h(x).
Option 2 states that the x-intercept of h(x) is (5, 0).
To find the x-intercept, we set h(x) = 0 and solve for x. In this case, we have (x - 5)² - log₁ x + 6 = 0.
However, since the logarithm term is always positive, it can never equal zero.
Therefore, the function h(x) does not have an x-intercept at (5, 0).
This option is a key feature of h(x).
Option 3 states that the y-intercept of h(x) is (0, 25).
To find the y-intercept, we set x = 0 and evaluate h(x). Plugging in x = 0, we get (0 - 5)² - log₁ 0 + 6.
However, the logarithm of 0 is undefined, so the y-intercept of h(x) is not (0, 25).
This option is not a key feature of h(x).
Option 4 states that the end behavior of h(x) is as x approaches infinity, h(x) approaches infinity.
This is true because as x becomes larger, the square term (x - 5)² dominates, causing h(x) to approach positive infinity.
This option is a key feature of h(x).
In conclusion, the key feature of h(x) that is NOT mentioned in the given options is that the domain of h(x) is (0, ∞).
Therefore, the correct answer is:
O The domain of h(x) is (0, ∞).
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plz help will give brainliest
Answer:
B. 165 degree angle
Step-by-step explanation:
PLZZZ HLPPP MEEE The S's in the SSS Similarity theorem states that two triangles are similar if they have ___________ proportional sides
Answer:
3
Step-by-step explanation:
SSS similarity states that all 3 sides must be proportional for the triangles to be similar
What is the cubic polynomial with zeros (3,0), (-6,0), and (1,0)?
(Question 15)
Answer:
D
Step-by-step explanation:
when we have the zeroes, we can build the polynomial by multiplying factors that will turn the functional value to 0 at exactly these points.
f(x) = (x - 3)(x + 6)(x - 1)
we don't need to do the full multiplications to see that the constant term of the polynomial is the result of the multiplication of all 3 constant terms of the factors :
-3 × +6 × -1 = +18
and therefore, D is the correct answer (as it is the only answer option with +18 as constant term).
What is the value of the expression shown below?
-(-4)(-6) - 3/5 (10+15)
——————————-
1/3
The value of the expression is -27.
What is an expression?
In mathematics, an expression is a combination of numbers, symbols, and operators that represents a mathematical quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and they can include variables, constants, functions, and other mathematical objects.
First, we can simplify the expression inside the parentheses:
-(-4)(-6) - 3/5 (10+15) = 24 - 3/5 (25)
Next, we can simplify the fraction:
24 - 3/5 (25) = 24 - 15 = 9
So the expression simplifies to:
-9 ÷ 1/3
-9 x 3/1 = -27
Therefore, the value of the expression is -27.
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Find the solution set for the following system graphically:
2\3x+4 = y and y < 4x
Therefore, the solution set for the system is the point (1.8, 5.2).
What is graph?A graph is a collection of points, called vertices (or nodes), and a set of connecting lines, called edges, that connect pairs of vertices. Graphs are often used to represent relationships between objects, such as roads between cities, social connections between people, or links between web pages.
Graphs can be classified based on their properties, such as whether they are directed or undirected, whether they have loops (edges that connect a vertex to itself), or whether they are connected (all vertices can be reached from any other vertex).
by the question.
To solve this system of equations graphically, we need to plot the lines represented by each equation on a coordinate plane and find their intersection point (if it exists).
First, let's rearrange the first equation to solve for y:
\(y = (2/3)x + 4\)
Now, we can plot this line by finding two points on it. For example, when x = 0, y = 4, and when x = 3, y = 6. We can then connect these points with a straight line.
\(y < 4x\). This is an inequality, so we'll shade the region below the line y = 4x. To plot the line itself, we can again find two points on it. When x = 0, y = 0, and when x = 1, y = 4. Connecting these points.
we need to shade the region below this line, since y is less than 4x. This region includes all points on the coordinate plane that satisfy y < 4x. We can shade it by drawing a dotted line along the line y = 4x and shading the region below.
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Please help True or False it’s due in a couple of minutes !!!!!!!
Answer:
false you can put them in however you like
Step-by-step explanation:
find the magnitude and direction (in degrees) of the vector. (assume 0° ≤ < 360°. round the direction to two decimal places.) v = 8, 6
The magnitude of the vector v is 10 and the direction is approximately 36.87°
The given vector v = (8, 6).
Magnitude of the vector is found using the Pythagorean Theorem as:
Magnitude of v = √(8² + 6²)= √(64 + 36)= √100= 10
Therefore, the magnitude of the vector is 10.
Direction of the vector is found using the following formula:
Direction of v = tan⁻¹(y/x)
where x is the horizontal component and y is the vertical component of the vector.
Therefore, direction of v = tan⁻¹(6/8) = tan⁻¹(0.75) ≈ 36.87°
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A bag of m&m's has 4 red, 7 green, 8 blue, and 6 yellow m&m's. what is the probability of randomly pickinga blue or green?
Step-by-step explanation:
a probability is always desired cases over total possible cases.
the bag has 4 + 7 + 8 + 6 = 25.
so, when we pick a random M&M we have total 25 possible outcomes.
the desired cases are to pick a green or a blue M&M.
that means these are 7+8 = 15 cases.
the probability to pick one or of the desired cases is
15/25 = 3/5 = 0.6
In the 1800s, wagon trains traveled west along the oregon trail. A wagon train traveled from missouri to wyoming in 1 2/3 months and from wyoming to utah in 3/5 month. About how many months did it take the wagon train to travel from missouri to utah?
Answer: 2 4/15 months
Step-by-step explanation:
From the question, we are informed that a wagon train traveled from Missouri to Wyoming in 1 2/3 months and from Wyoming to Utah in 3/5 month.
The number of months that it will take the wagon train to travel from Missouri to Utah will be:
= 1 2/3 + 3/5
The common lowest multiple is 15
= 1 10/15 + 9/15
= 1 19/15
= 1 + 1 4/15
= 2 4/15 months
It will take they train 2 4/15 months to travel from Missouri to Utah.
Divide. Write your answer as a fraction in simplest form. −2 4/5÷(−7)=
Answer:
.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.
.
.
2/5
Answer:
\( \frac{2}{5} \)
Step-by-step explanation:
\( - 2\frac{4}{5} \div ( - 7)\)
\( = \frac{2 \times 5 + 4}{5} \)
\( = \frac{10 + 4}{5} \)
\( = \frac{14}{5} \)
\( = - \frac{14}{5} \times 7\)
\( = \frac{14}{5} \div 7\)
\( = \frac{2}{5} \)
find the mean of factors of 18
The blue team at will’s job took a vote to decide whether to pitch in to buy the boss a gift for boss’ day. in other words, the team made a(n) ______.
The blue team at Will's job made a collective decision to vote on whether to contribute money to buy their boss a gift for Boss' Day.
In other words, the team made a democratic choice or a democratic decision. They likely took a vote, where each team member had the opportunity to express their opinion and cast their vote.
By voting, the team members had a chance to voice their thoughts and preferences, and ultimately come to a consensus on whether to contribute towards buying the boss a gift. This process allowed for fairness and inclusion, ensuring that everyone's opinion was taken into consideration before making the final decision.
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The blue team at Will's job took a vote to decide whether to pitch in to buy the boss a gift for Boss' Day. In other words, the team made a(n) decision.
When a group of people gathers together to make a choice or come to an agreement, they are making a decision. In this case, the blue team at Will's job had to decide whether or not to contribute money to buy a gift for their boss on Boss' Day.
Making a decision involves considering different options and weighing the pros and cons of each. The team members likely discussed the idea of buying a gift, talked about the cost and what they could contribute, and then took a vote to determine the final decision. The vote could have been a show of hands or a secret ballot, depending on how they decided to conduct it.
After considering everyone's opinions and preferences, the team reached a decision through the vote. They may have concluded that it was a good idea to pitch in and show appreciation for their boss, or they might have decided not to buy a gift for various reasons. Either way, the decision-making process involved the team coming together and reaching a consensus through the vote.
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On Saturday, the bookstore sold x books. On Sunday, the bookstore sold 3 more books than on Saturday. The expression 2x + 3 represents the total number of books sold over the two days.
What does the "2" represent in the expression 2x + 3?
the total number of books sold
how much more books were sold on Saturday
the number of days
the number of books sold on Saturday
I will give brainly if right
Answer:
the number of days
Step-by-step explanation:
the bookstore sold three more than the previous day so you would times the previous day by two and then add three to get your answer.
Rachael is running a 5-kilometer race with 200 participants. She knows she can complete 1 kilometer in 7.5 minutes, and she plans to keep that pace for the whole race. However, she wants to give herself some extra time to take a water break at the halfway point between each kilometer marker. Her goal is to complete the race in 38.75 minutes, and she needs to figure out how much time she can take for each water break. She creates the following table to figure out her time at each kilometer.
Answer:
0.25
Step-by-step explanation:
as she usually finishes the race in 7.5 and her time for breaks are at 7.75 all you have to do is solve a simple equation of : 7.75 - 7.50 = 0.25
Answer:0.25
Step-by-step explanation:
as she usually finishes the race in 7.5 and her time for breaks are at 7.75 all you have to do is solve a simple equation of : 7.75 - 7.50 = 0.25
Statistics on women in politics highlight that women - who make up over 50 percent of the u.s. population - are ________ in high government positions.
Statistics on women in politics highlight that woman - who make up over 50 percent of the U.S. population - are substantially lag in high government positions.
In U.S. the population of Women are 50.8 percent. Approximately, 60 percent of women have their undergraduate degree, and 60 percent of women have their master's degree. They are very well educated. They earn almost 60 percent of law degrees.
But, when it comes to representation in high government positions, they substantially lag behind men. There are only 14.6 percent of executive officers, they hold only 24.2 percent of state legislative seats. They hold only 18.5 percent of congressional seats, and they are just 20 percent of U.S. senators.
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C:
D:
E:
F:
G:
H:
3 a) If the first coordinate in an ordered pair is 0, where does the point lie?
3 b) If the second coordinate in an ordered pair is 0, where does the point lie?
8. How far does Cal live from Mel?
9. How far does Mia live from Amy?
10. How far apart do Amy and Cal live?
14. Whose house is a reflection of Amy’s house across the y-axis? Explain.
Answer:
its in progress so tell ur teacher.
Step-by-step explanation:
Can someone help and explain it to me pls?
Answer:
Option C, 0 ≤ x ≤ 12
Step-by-step explanation:
the domain of a function is the set of inputs accepted by the function so all possible x values.
Since x-axis is time, time can never be negative
so the lowest x value is 0
the heights x values is the x intercept which is 12
hence option C
Ley me know if you have any questions!!!
Answer:
C. 0 ≤ x ≤ 12
Step-by-step explanation:
The domain is the horizontal extent of the graph. The "reasonable domain" is the set of values of the independent variable for which the function makes sense.
__
values of interestHere, the graph is showing the gallons remaining in a pool after x minutes. In general, we're not interested in gallons for negative minutes. Nor are we interested in negative gallons.
domain of interestThe only part of the graph that makes any sense in this situation is the part of it in the first quadrant, where y and x are both non-negative. The values of x for this to be true are ...
0 ≤ x ≤ 12
is it greater than or less than 4.29__4.3
Step-by-step explanation:
Think of 4.29 and 4.3 as 429 and 430.
Now which is greater, 429 or 430?
430, right? Then we convert them back to decimals.
4.29<4.3
Hope it helps!
if an adult is chosen randomly from the town, what is the probability that they have a high school degree or some college, but have no college degree? round your answer to the nearest thousandth.
The probability that the chosen adult have high school or some college degree but no college degree is 0.683.
From the definition of probability we know that,
Probability of Event = (Outcomes favorable to that event)/(Total number of outcomes under that event)
Total number of adults in the town is given by = 4286 + 6313 + 3033 + 1886 = 15518.
The number of adults have high school degree only = 4286
The number of adults have some college degree only = 6313
The number of adults have high school or some college degree but no college degree = 4286 + 6313 = 10599.
The probability that the chosen adult have high school or some college degree but no college degree is given by
= 10599/15518 [According to definition of probability]
= 0.683 [Rounding off to nearest thousandth]
Hence, probability that the chosen adult have high school or some college degree but no college degree is 0.683.
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The question is incomplete. The complete question will be -
Based on the given five balances what is the average balance for the 5 day period
The average balance for the 5 day period is 27.
The average of anything is given by adding all the numbers and dividing the sum of total number of items. The average daily balance is given by adding up your balances from all of the days throughout the period, dividing them by the total number of days during the period.
Now, Adding the all five balances, we get
Sum = (-21)+(-55)+102+125+(-16)
= -21-55+102+125-16
= 135
Now, Dividing the sum by total number of days i.e. 5,
Average \(=\frac{135}{5}\)
= 27
Hence, the average balance for the 5 day period is 27.
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Carson wants to divide 128 by 3.2. What is the place value of the first digit in his answer?
tenths
ones
tens
hundreds
Answer:Tenths
Step-by-step explanation:Hope it helps
Please help
Expand 3(2x+1)
Answer:
6x + 3
Step-by-step explanation:
3(2x + 1)
=3*2x + 3*1
=6x + 3
You have 16 digs for your current volleyball season. There are 3 games left in the season. You want to break your previous record of 20 digs in a
season. Write and solve an inequality that represents the number 2 of digs you must get in the remaining 3 games to break your record
Answer: 16+d>20
d>4
Step-by-step explanation:
d=digs
16+d>20
16-16+d>20-16
d>4
Which of the following is the solution to the inequality below? -6/5(4-x)<-4(x+1/2)
Answer:
x < 7 /13
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.