To score 4/5 th of the marks of this maths test.How many should you score out of 200 questions to get 4/5 th score.​

Answer:

this is so confused in the first number 6. 6y^3  you want we multiply?

Step-by-step explanation:

Step-by-step explanation:

the answer is this, have a great day if I can help me too

1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

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The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

56 inches = long

Step-by-step explanation:

Answer:

7y/4x

Step-by-step explanation:

Answer: 15 cm

Step-by-step explanation: So first, do 14 squared plus 7 sqaured. The answer is 245. And now let’s compare it to 22 cm and 15 cm. 22 squared is 484 and 15 sqaured is 225. 225 is closer to 245 than 484. Therefore, 15 is the correct answer.

Answer:

20 1/4 yd

Step-by-step explanation:

   2 aprons = 4 1/2 yd

⇒   1 apron = 4 1/2 ÷ 2 = 2 1/4 yd

⇒ 9 aprons = 2 1/4 x 9 = 20 1/4 yd

Answer:

Jim walked 17/28 for miles than Russel

Step-by-step explanation:

First you turn 6/7 and 1/4 to have the same denominators. In that case you find the least common multiple which is 28.

7: 7, 14, 21, 28

4: 4, 8, 12, 16, 20, 24, 28

Next you multiply the top and the bottom of your fraction my the factor you used to get 28 for your denominator

6/7 x 4/4 = 24/28

1/4 x 7/7 = 7/28

Lastly, you subtract the products you got.

24/28 - 7/28 = 17/28

The value of x is; x = 3.14

Here, we have,

from the given diagram, we get,

there is a right angle triangle.

we have to find the value of x.

we know that,

Let the angle be θ , such that

cos θ = base / hypotenuse

here, we get,

cos 17 = 3/x

so, we have,

0.956 = 3/x

so, x = 3.14

Hence, The value of x is;x = 3.14

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Complete Question

Newly purchased automobile tires of a certain type are supposed to be filled to a pressure of 30 psi. Let μ denote the true average pressure. Find the P-value associated with each of the following given z statistic values for testing H0: μ = 30 versus Ha: μ 30 when σ is known. (Give the answers to four decimal places.)

calculate for each

(a) z = 2.30

(b) z = -1.7

Answer:

a

\(p-value = 0.021448\)

b

\(p-value = 0.08913\)

Step-by-step explanation:

From the question we are told that

   The population mean is \(\mu = 30 \ psi\)

   The null hypothesis \(H_o : \mu = 30\)

    The alternative hypothesis is  \(H_a : \mu \ne 30\)

Considering question a  

 Here  the test statistics is (a) z = 2.30  

 From the z table  the probability of  (Z >  2.30)  is  

      \(P(Z > 2.30 ) = 0.010724\)

Generally the p-value is mathematically represented as

      \(p-value = 2 * P(Z > 2.30 )\)

=>   \(p-value = 2 * 0.010724\)

=>   \(p-value = 0.021448\)

Considering question b

 Here  the test statistics is (a) z = -1.7

 From the z table  the probability of  (Z <  -1.7)  is  

      \(P(Z < -1.7 ) = 0.044565\)

Generally the p-value is mathematically represented as

      \(p-value = 2 * P(Z < -1.70 )\)

=>   \(p-value = 2 * 0.044565\)

=>   \(p-value = 0.08913\)

The domain of the function in this problem is given as follows:

all real numbers.

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

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The surface integral for the given solid bounded by the given cylinder and planes is 486π.

Here, we are given a function f as follows-

\(f(x, y, z) = x^{4}i -x^{3} z^{2}j + 4xy^{2} z k\\\)

\(f = 4x^{3} + 4xy^{2} = 4x(x^{2} + y^{2} )\)

Now by the divergence theorem, we have -

\(\int\limits_ {} \, \int\limits_S {f} .\, ds = 4 \int\limits \, \int\limits \, \int\limits_R {x(x^{2} +y^{2}) } \, dV\)

here S is the boundary of the region S.

Now, we convert to cylindrical coordinates by taking -

x = u cos v

y = u sin v

and z = z

such that -

dV = u du dv dz

Then the integral becomes as follows -

\(4 \int\limits \, \int\limits \, \int\limits_R {x(x^{2} +y^{2}) } \, dV = 4 \int\limits \, \int\limits \, \int\limits_R ucosv((ucosv)^{2} +(usinv)^{2} )u dz du dv\)

= \(4 \int\limits \, \int\limits \, \int\limits_R (u^{4} cosv) dz du dv\)

Solving the above expression for the given interval values we get the following value -

486π

Thus, the surface integral for the given solid bounded by the given cylinder and planes is 486π.

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The experimental probability of the computer generating a 3 or a 5 is given as follows:

20%.

The parameters that are needed to calculate a probability are given as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of outcomes in the table is given as follows:

90.

The desired number of outcomes is given as follows:

10 + 8 = 18.

Hence the experimental probability is given as follows:

p = 18/90 = 0.2 = 20%.

The problem is given by the image presented at the end of the answer.

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If a pole has two wires attached to it, one on each side, forming two right triangles as shown, then the height of the pole is 29.6 feet

Consider the triangle on left hand side

The length of the base = 34 feet

The measure of angle = 41 degrees

Opposite side is the height of the pole

Here we have to use the trigonometric functions

sin θ = Opposite side / Hypotenuse

cos θ = Adjacent side / Hypotenuse

tan θ = Opposite side / Adjacent side

Here we have to use the equation of tan θ

Substitute the values in the equation

tan 41 = Opposite side / 34 feet

Opposite side = 34 × tan 41

= 29.6 feet

Therefore, the height of the pole is 29.6 feet

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Answer:

625•5x

jajssjskdnkwwnso

The graph of the parent function, y=√x transformed to produce the graph of y=√-2x as D. It is horizontally compressed by a factor of 2 and reflected over the y-axis.

The graph of y=√-2x is obtained from the graph of y=√x by applying two transformations: a horizontal compression by a factor of 2 and a reflection over the y-axis.

To see this, we can use the following steps:

Start with the graph of y=√x, which is a curve that passes through the origin and increases without bound as x increases.

To compress the graph horizontally by a factor of 2, we replace x with x/2 in the function. This gives us y=√(x/2), which is equivalent to y=(1/√2)√x. This transformation squeezes the graph horizontally by a factor of 2, making it steeper and narrower.

To reflect the compressed graph over the y-axis, we replace x with -x in the function. This gives us y=(1/√2)√-x, which is equivalent to y=(1/√2)i√x, where i is the imaginary unit. This transformation flips the graph horizontally, reflecting it over the y-axis.

Therefore, the correct answer is that the graph of y=√-2x is horizontally compressed by a factor of 2 and reflected over the y-axis.

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Answer:

y¹⁰

Step-by-step explanation:

Let’s say y=2.

This means 2 to the power of 4 is 16.

Then, we do 16 times 2, because it says y4 times 6.

16 times 2 is 32.

Now we find what 2 to the power of 5 is.

That is also 32.

Finally, we do 32 times 32 which is 1,024.

As you can see, we used 2, aka y 10 times. This is because y4 has 4 y’s, and y5 has  5 y’s. Then, there is one extra y in the middle.

Therefore, 4 + 5 + 1 is equal to 10.
This can be written as y10.

hope this helped!

The sample should be taken to provide a 95% confidence interval is 200.

A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.

Confidence is another name for probability in statistics.

Given the planning value for the population proportion,

probability, p = 0.25

q  = 1 - p = 1 - 0.25

q = 0.75

margin of error = E = 0.06

value of z at 95% confidence interval is 1.96,

the formula for a sample is,

n = (z/E)²pq

n = (1.96/0.06)²*0.25*0.75

n = 200.08

n = 200 approx

Hence sample size is 200.

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The inequality could be used to find the greatest number of people, p, that can attend is  3.5p + 5p ≤ 300.

Here the inequality is that the sum of the cost of rentals and food which is represented by 3.5p and 5p, respectively, must be less than or equal to $300. By solving the inequality we can determine the maximum number of people that can attend the party while staying within Xian's budget.

To solve the inequality, we first subtract 5p from both sides to isolate the 3.5p term. This results in 3.5p≤300-5p. Then we divide both sides by 3.5 to isolate p, which yields p≤85.71. Since we can't have a fractional number of people, we can determine the maximum number of 85  people that can attend the party.

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Answer:

2,000

Step-by-step explanation:

125 x 16  = 2000

Given the inequality expression

Step 1: Subtract 3 from both sides

Step 2: Multiply both sides by 7:

Hence the correct solution to the inequality expression is;

The average rate of change of the given function from x equals -7 to x equals 2 is calculated as: B. 101/90.

If we are given a function, f(x), to find the average rate of change of the function within the interval from a to b, the formula to use is:

Average rate of change = f(b) - f(a) / b - a.

Given the table that represents  function, we have the following:

a = -7

b = 2

f(a) = f(-7) = -2.7

f(b) = f(2) = 7.4

Plug in the values into the formula:

Average rate of change = (7.4 - (-2.7)) / (2 - (-7))

= (7.4 + 2.7) / 2 + 7)

= 10.1 / 9

= 101/90

Therefore, the average rate of change is: B. 101/90.

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Answer:

so if we take 450 an divide it by 6 you get 75. So take 75 times 18 and you get 1,350 so he would need 1,350 kilograms of rice for 18 people

Step-by-step explanation:

hope this helps :D

Answer:

b= 49 degrees

Step-by-step explanation:

That is a 90 degree angle. And 90-41 is 49

Answer: acute

Step-by-step explanation:did the test

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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We can conclude that budget software can help you: identify places to reduce spending.

Budget software is a computer software or program that helps you to plan and allocate how you spend your money.

Budget software makes it easy for you to track what you've spent as money comes in and what you are owed.

Therefore, we can conclude that budget software can help you: identify places to reduce spending.

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Probability of getting two 4's is 1/36

Tess rolls 2 fair dice.

The possibilities of first die are 1, 2, 3, 4, 5 or 6.

Also the possibilities of second die are 1, 2, 3, 4, 5 or 6.

So, the number of possibilities is 36, when tess rolls 2 dice together.

Here, possibility of getting two 4's is 1 out of 36

∴ The probability of getting two 4's = 1/36

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ANSWER:

4242.64 lbs*ft

STEP-BY-STEP EXPLANATION:

To better understand we make a sketch of the situation:

Where,

Distance ||PQ|| = 100 ft

Force (F) = 60 lbs

The angle between force and displacement is 45°

Component of force along displacement is F * Cos 45°

The total work is calculated by means of the formula shown in the statement:

The total work is equal to 4242.64 lbs*ft