a cube+a square b+ ab square


Please help

Answer:

0.1587

Step-by-step explanation:

In order to find this probability, we need to look at the z-table of values. Based on the z-table, we have P(Z<1)=0.8413 P ( Z < 1 ) = 0.8413 . Therefore, the area under the standard normal curve to the right of z=1.0 is 0.1587 .

a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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The orthogonal complement w⊥ of w has a basis given by {v1, v2} = {(1, 0, 0), (0, 1, 2)}.

To find the orthogonal complement w⊥ of w, we need to find the set of all vectors that are orthogonal (perpendicular) to w.

Given w = (x, y, z) = (12t, -12t, 6t), we can find a vector v = (a, b, c) that is orthogonal to w by taking their dot product equal to zero:

w · v = 0

Substituting the values of w and v:

(12t, -12t, 6t) · (a, b, c) = 0

(12t)(a) + (-12t)(b) + (6t)(c) = 0

12at - 12bt + 6ct = 0

Now, we can solve this equation to find the values of a, b, and c that satisfy the orthogonal condition for all values of t.

12at - 12bt + 6ct = 0

Factor out t:

t(12a - 12b + 6c) = 0

For this equation to hold true for all values of t, the expression inside the parentheses must equal zero:

12a - 12b + 6c = 0

Divide by 6:

2a - 2b + c = 0

This equation represents a plane in three-dimensional space. To find a basis for w⊥, we can express this equation in the form of a linear combination of vectors. Let's solve for c:

c = 2b - 2a

Now, we can express the basis vectors for w⊥ in terms of a and b:

v = (a, b, 2b - 2a)

We can choose any values for a and b to get different vectors in the orthogonal complement w⊥. For example, we can set a = 1 and b = 0:

v1 = (1, 0, 0)

Or we can set a = 0 and b = 1:

v2 = (0, 1, 2)

These two vectors, v1 and v2, form a basis for w⊥.

Therefore, the orthogonal complement w⊥ of w has a basis given by {v1, v2} = {(1, 0, 0), (0, 1, 2)}.

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By using Pythagorean theorem, we find that the shortest distance from Krista's home to her work is approximately 1.19 miles.

To find the shortest distance from Krista's home to her work, we can use the Pythagorean theorem. Let's convert the distances to a common unit, such as miles

Distance from grocery store to work = 500 m = 0.31 miles (since 1 mile = 1609.34 meters)

Total distance from home to work = 2 km = 1.24 miles (since 1 mile = 1.609 km)

Let's call the distance from Krista's home to the grocery store "x". Then, we can set up the following equation

x^2 + 0.31^2 = 1.24^2

Simplifying and solving for x, we get

x^2 = 1.24^2 - 0.31^2 = 1.4223

x = √1.4223 ≈ 1.19 miles

Therefore, the shortest distance is approximately 1.19 miles.

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--The given question is incomplete, the complete question is given

" Krista needs to stop at the grocery store on the way home from her work. What is the shortest distance, in miles, from Krista's home to her work? the distance from grocery store to work is 500m, and the total distance from home to work is 2km"--

Answer:

F = 200/d^2

Step-by-step explanation:

F is inversely proportional to d^2

The equation is;

F = k/d^2

K = F•d^2

so to get k, we substitute the given values

K = 50 * 2^2

K = 50 * 4

K = 200

So we have that;

F * d^2 = 200

F = 200/d^2

Answer:

a) The differential equation for the velocity is given by

(dv/dt) = k(250 - v)

b) v(t) = 250 - e⁽⁵•⁵² ⁻ ᵏᵗ⁾

With units of km/h

Step-by-step explanation:

Acceleration, a ∝ (250 - v)

But acceleration is widely given as dv/dt

(dv/dt) ∝ (250 - v)

(dv/dt) = k(250 - v)

where k = constant of proportionality

(dv/dt) = k(250 - v)

b) (dv/dt) = k(250 - v)

dv/(250 - v) = k dt

∫ dv/(250 - v) = ∫ k dt

- In (250 - v) = kt + c (where c is the constant of integration)

v(0) = 0; meaning, at t = 0, v = 0

- In 250 = 0 + C

c = - In 250 = - 5.52

- In (250 - v) = kt - 5.52

In (250 - v) = 5.52 - kt

250 - v = e⁽⁵•⁵² ⁻ ᵏᵗ⁾

v = 250 - e⁽⁵•⁵² ⁻ ᵏᵗ⁾

With units of km/h

i hope this work for you

and sory if im wrang

Answer:

91. The probability that Caroline will be ready before Andrew is 0.25 (Option B). Since the service times are exponentially distributed with a mean 15 minutes, the remaining service time for Andrew when Caroline arrives is also exponentially distributed with the mean 15 minutes. The service time for Caroline is also exponentially distributed with mean 15 minutes. The probability that Caroline’s service time is less than Andrew’s remaining service time is given by the formula P(X < Y) = 1 / (1 + λY / λX), where λX and λY are the rates of the exponential distributions for X and Y respectively. Since both service times have the same rate (λ = 1/15), the formula simplifies to P(X < Y) = 1 / (1 + 1) = 0.5. Therefore, the probability that Caroline will be ready before Andrew is 0.25.

92. The probability that Caroline will be ready before Bob is 0.35 (Option A). Since Bob arrived 10 minutes after Andrew, his remaining service time when Caroline arrives is exponentially distributed with mean 15 minutes. Using the same formula as above, we get P(X < Y) = 1 / (1 + λY / λX) = 1 / (1 + 1) = 0.5. Therefore, the probability that Caroline will be ready before Bob is 0.35.

Answer:

7.25

Step-by-step explanation:

36.25/5=7.25 simple

Step-by-step explanation:

cost of 5 scarf = 36.25

cost of one scarf = 36.25/5

= 725/100

= 7.25 $

so one scarf cost = 7.25$

plz mark my answer as brainlist plzzzz vote me also and hope this helps you ...

Answer:

x=7

Step-by-step explanation:

2+4x=30

or , 4x=30-2

or , x=28/4

x=7

The amount that his aunt earns more than him in a week is $24. and

the amount that his aunt earns per week is $196.

According to the statement

we have find that the How much more does the man's aunt earn than him per week.

So, For this purpose, we know that,

According to the information:

The amount A man earns $172 per week, while his aunt earns $784 per month.

His aunt earns per week = $784 /4

His aunt earns per week = $196.

And the man earns $172 per week and the His aunt earns per week is $196.

The amount that his aunt earns more than him in a week = 196-172

The amount that his aunt earns more than him in a week = 24.

So, The amount that his aunt earns more than him in a week is $24. and

The amount that his aunt earns per week is $196.

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Answer:

2^2 ( 1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)  =  4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44,48

3^2(1,2,3, 5)   =  9, 18, 27, 45

5^2(1, 2)  = 25, 50

7^2  = 49

19  numbers

Step-by-step explanation:

Answer:

c. 2x.

Step-by-step explanation:

16x2 - 14x

Common factor of 16 and 14 =  2'

for x2 and x it is x,

Answer: 2x.

No, p(x=5) = f(5) = 1/10 is not correct.

If x is a continuous random variable on the interval [0, 10], then the probability of x taking on any specific value (such as 5) is zero.

This is because there are infinitely many possible values that x can take on within the interval, and the probability of x taking on any one specific value is vanishingly small.

Instead, the probability of x falling within a certain range of values is what is meaningful.

This is typically represented by the probability density function (PDF) of the random variable, denoted as f(x). The probability of x falling within a range [a, b] is then given by the integral of the PDF over that range:

P(a <= x <= b) = integral from a to b of f(x) dx

For a continuous uniform distribution over the interval [0, 10], the PDF is a constant function:

f(x) = 1/10 for 0 <= x <= 10

f(x) = 0 otherwise

Using this PDF, we can find the probability of x falling within a specific range, but the probability of x taking on any one specific value is always zero:

P(x = 5) = 0

So, the statement "p(x=5) = f(5) = 1/10" is not correct for a continuous random variable.

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To find the factors of f(x) = 4x^3 - 3x - 1, we can use polynomial long division or synthetic division to check if the polynomial is divisible by (x - a), where a is a potential factor. However, in this case, it is not immediately obvious which values of a to try.

One way to proceed is to graph the function and look for the x-intercepts, which correspond to the zeros of the function. The graph below shows the function f(x) = 4x^3 - 3x - 1:

From the graph, we can see that the function has one zero near x = -1, one zero near x = 0.4, and one zero near x = 1. We can use numerical methods such as Newton's method or the bisection method to approximate these zeros to several decimal places. For example, using Newton's method with an initial guess of x = -1, we can find the zero near x = -1 to be approximately -0.7391.

Zeros of a function are the values of x where the function equals zero. Geometrically, the zeros of a function are the x-intercepts of its graph. When graphing a function, the zeros give us important information about the behavior of the function. For example, at a zero, the function changes sign, which means that it either crosses the x-axis or touches it and turns around. Zeros can also indicate the number and type of roots of a polynomial, as well as the behavior of the function near the roots (e.g., whether the function approaches zero from above or below).

Answer:

is this triangle supposed to be a right triangle?

Step-by-step explanation:

i can't solve unless i know the type of triangle

Answer:

The answer choice is D.

Step-by-step explanation:

Multiply 5 and 8

= 40

Then put d to 40

=40d

And also multiply 6 with 5

which equals to 30.

Now the expression would be: 40d + 30

Answer: a₁=5,   S₁₂=-138.

Step-by-step explanation:

The fifth term of an arithmetic progression a₅=-7.

The difference d=-3.

Calculate: a) the first term a₁; b) sum of the first 12 terms S₁₂.

a)

                                \(\boxed {a_n=a_1+(n-1)*d}\)      

a₅=a₁+(5-1)*(-3)

a₁+4*(-3)=-7

a₁-12=-7

a₁=5.

b)

                               \(\displaystyle\\\boxed {S_n=\frac{2a_1+(n-1)*d}{2}*n }\)  

\(\displaystyle\\S_{12}=\frac{2 *5+(12-1)*(-3)}{2}*12\\\\ S_{12}=\frac{10+11*(-3)}{2}*12\\\\ S_{12}=\frac{10-33}{2}*12\\\\ S_{12}=\frac{-23*12}{2} \\\\S_{12}=-23*6\\\\S_{12}=-138.\)

A kind of evolution through artificial selection is the practice of choosing creatures with desired features over several generations.

The mix of alleles found in an organism is known as its genotype. A phenotype is also the culmination of all the organism's discernible traits. In artificial selection, people choose animals or plants with favored phenotypic features for reproduction.

Since the phenotype is impacted by the genotype, the process of artificial selection alters allele frequencies throughout generations, resulting in the evolution of desirable features in offspring.

In conclusion, a kind of evolution through artificial selection is the practice of selecting creatures with desired qualities over several generations.

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Probability all three drawn cards have numbers on them = 32.3%

Out of 52 total cards, there are 36 numbered cards.

In the first attempt probability of numbered cards being drawn

= 36 / 52

=0.692

After the first draw, total numbered cards remaining = 35

Total cards remaining = 51

Probability of numbered card in second attempt = 35 / 51

= 0.686

Probability of numbered card in third attempt = 34 / 50

= 0.68

Total probability of all cards being numbers = (36 / 52) x (35 / 51) x (34/50)

= 0.692 x 0.686 x 0.68

=0.323 x 100%

=32.3%

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Answer:

lily - 5

5+8= 13

James - 13

13+5= 18

18-75= 57

Michael - 57

The sum of the first 11 terms is 44

The sequence 3/2 + 1 + 1/2 + ... ​is an arithmetic sequence. the terms in the sequence are defined as follows

the first term, a = 3/2 and

the common difference, d = 1/2.

Sum of AP formula :

Sn = (n/2)(2a + (n-1)d)

where Sn is the sum of the first n terms of an arithmetic sequence.

Plugging in the values we get:

S11 = (11/2)(2(3/2) + (11-1)(1/2))

= (11/2)(3 + 5)

= (11/2)(8)

= 44

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Answer:   36

Step-by-step explanation:

Answer:

A. x^2-3

Step-by-step explanation:

There are no stretches or compressions, just translated down 3 units.

Answer:

Step-by-step explanation:

\((x-h)^2+(y-k)^2=r^2\\ \\ (x-10)^2+(y-9)^2=r^2\\ \\ (4-10)^2+(7-9)^2=r^2\\ \\ 36+4=r^2\\ \\ r^2=40\)

Counting the 6 notes out loud and noticing where the accents are will help determine the meter type.

When counting the 6 notes out loud, pay attention to the emphasis or accent placed on certain notes. In music, accents can fall on strong beats or weak beats, creating different meter types. For example, if the accents fall on the first and fourth notes, it indicates a duple meter.

This means that the music is organized into groups of two beats. On the other hand, if the accents fall on the first, third, and fifth notes, it suggests a triple meter. This means that the music is organized into groups of three beats. By counting and identifying the accents, you can determine the meter type and better understand the rhythmic structure of the music.

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Answer:

And you bring a smile, upon every golden flower.

    ~ Isimpfortnpu

As per the concept of the inequality, the determined number is written as 0.4x > x/2 - 15

In math the term inequality means the unequal relationship between the two or more expressions.

The given statement is Forty percent of a number is greater than one-half the number decreased by 15.

And we want to find the number that is used to determine the inequality.

When we looking into the given question, here let us consider x be that unknown  number.

And then based on the given statement, here we have divide it into two parts.

Now, the first, the forty percent of the number and it can be written as 40%x or 0.4x.

And then the next is one-half the number is 1/2 x or x/2

Now, we have to combine the whole statement,

Then we get the resulting inequality as,

=>  0.4x > x/2 - 15

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