Could anyone help and give a correct answer?

Answer:

Step-by-step explanation:

x  - the width of the barn

She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:

y = 32 - 2x

Area of the fencing:  A = x•y

A(x) = x•(32 - 2x)

A(x) = -2x² + 32x             ←  quadratic function

The maximum value of quadratic function occurs at:  \(x=-\frac b{2a}\)

a = -2,  b = 32

\(x=-\frac b{2a}=-\frac{32}{2\cdot(-2)}=-(-8)=8\)

32-2x = 32 - 2•8 = 16

With regard to the Right Angled Triangle, the needed trigonometric ratios of angle C in the given table are

(a) adjacent leg ÷ hypotenuse (cos C) = 0.95

(b) opposite leg ÷ hypotenuse (sin C) = 0.31

(c) opposite leg ÷ adjacent leg (tan C) = 0.33

The three important trigonometric ratios are:

sin θ = opposite leg ÷ hypotenuse

cos θ = adjacent leg ÷ hypotenuse

tan θ = opposite leg ÷ adjacent leg

The calculations are given as follows:

In the given right-angle triangle, the ratios are given as

cos A = adjacent leg ÷ hypotenuse = 0.31

sin A = opposite leg ÷ hypotenuse = 0.95

tan A = opposite leg ÷ adjacent leg = 3.06

These ratios are w.r.t the angle A.

Since we know that, in the right angle triangle,

∠A + ∠B + ∠C = 180°

⇒ ∠A + 90° + ∠C = 180°

⇒ ∠A = 180° - 90° - ∠C

∴ ∠A = 90° - ∠C

So, the trigonometric ratios w.r.t the angle C are:

(a) cos A = cos (90° - ∠C) = sin C

But we have cos A = 0.31

∴ sin C = 0.31

(b) sin A = sin (90° - ∠C) = cos C

But we have sin A = 0.95

∴ cos C = 0.95

(c) Then, tan C = sin C/cos C

Here we got sin C = 0.31 and cos C = 0.95

So, tan C = 0.31/0.95 = 0.33

Thus, the table is as follows:

angle    adj ÷ hyp    opp ÷ hyp    opp ÷ adj

A              0.31              0.95               3.06

B              0.95             0.31                0.33

Learn more about Right Angled Triangles:
https://brainly.com/question/12381687
#SPJ1

Full Question:

Given that the question is incomplete, it appears you ere referring to the attached math challenge.

Answer:

\(\Large \boxed{h(g(f(x)))=-8x^2-40x-50}\)

Step-by-step explanation:

\(f(x)=2x+5 \\\\ g(x)=x^2 \\\\h(x)=-2x\)

\(h(g(f(x)))=-2((2x+5)^2)\)

Expanding and solving for brackets.

\(h(g(f(x)))=-2(4x^2+20x+25)\)

Distributing -2 to the terms in the brackets.

\(h(g(f(x)))=-8x^2-40x-50\)

Answer:

-8x^2 - 40x - 50

Step-by-step explanation:

f(x) = 2x + 5

g(x) = x^2

h(x) = -2x

h(g(f(x))) =

First find g(f(x))

g(f(x)) = (2x+5) ^2 = 4x^2 + 10x + 10x +25

                            = 4x^2 + 20x + 25

The stick this in for g(f(x)

h(g(f(x))) = -2 (4x^2 + 20x + 25)

             = -8x^2 - 40x - 50

Answer:

x=5

Step-by-step explanation:

Desmos is a tool to finding your answer to this equation. Its a graphing calculator

Polynomials are algebraic expressions consisting of terms that include real numbers, variables, and positive integer exponents. Each term in a polynomial has a variable raised to a non-negative integer power, and the coefficient of each term is a real number. Polynomials are classified by the degree of their highest power. If two or more terms in a polynomial have the same variable raised to the same power, they can be combined into a single term.

1. -x² + x - x² + 1

Combine like terms: -x² + x - x² + 1 = -2x² + x + 1

This polynomial has degree 2 because the highest power of the variable is 2.

2. x² + x + 2x³ - x

Rearrange terms: 2x³ + x² + x - x = 2x³ + x²

This polynomial has degree 3 because the highest power of the variable is 3.

3. 4x + x + x - 2

Combine like terms: 4x + x + x - 2 = 6x - 2

This polynomial has degree 1 because the highest power of the variable is 1.

4. 3x² + 4 - 3x² - 1

Combine like terms: 3x² - 3x² + 4 - 1 = 3

This polynomial has degree 0 because there is no variable term.

Therefore, the four given polynomials have degrees 2, 3, 1, and 0, respectively.

For such more question on variable

https://brainly.com/question/28248724

#SPJ8

The partial derivative of the function f(z, y) = 5z²y with respect to z at the point (0, 0) is 0. This is shown using the limit definition of partial derivatives. By evaluating the limit expression, we simplify it step by step and find that the limit approaches 0 as the variable h approaches 0. Therefore, we can conclude that the partial derivative ∂f/∂z at (0, 0) is indeed 0.

To show that the partial derivative of the function f(z, y) = 5z²y with respect to z at the point (0, 0) is 0, we can use the limit definition of partial derivatives. The partial derivative with respect to z, denoted as ∂f/∂z, measures how the function changes with respect to z while keeping y constant.

Let's calculate the partial derivative using the limit definition:

∂f/∂z = \(\lim_{h \to 0}[(f(0+h, 0)-f(0,0))/h]\)

Substituting the function f(z, y) = 5z²y into the limit expression, we get:

∂f/∂z = \(\lim_{h \to 0}[(5(0+h)^2(0)-5(0)^2(0))/h]\)

Simplifying the expression inside the limit, we have:

∂f/∂z = \(\lim_{h \to 0}\) ⁡\([(5h^2(0))/h]\)

Canceling out h, we obtain:

∂f/∂z = \(lim_{h \to 0}\) ⁡\([(5h^2)/h]\)

Now, as h approaches 0, the numerator (5h²) remains 0, while the denominator (h) approaches 0. Therefore, we have an indeterminate form (0/0) for the limit. To resolve this, we can factor out an h from the numerator:

∂f/∂z =\(lim_{h \to 0}\) \([h(5h))/h]\)

Simplifying further, we get:

∂f/∂z = \(lim_{h \to 0}\\\) ⁡\([5h]\)

As h approaches 0, the limit evaluates to 0. Hence, we can conclude that the partial derivative of f(z, y) with respect to z at the point (0, 0) is 0.

To know more about the limit definition of partial derivatives, refer here:
https://brainly.com/question/32270422#

#SPJ11

The fetus experiences tactile stimulation in the womb as a result of: several factors including movement, pressure, and the mother's digestive and respiratory systems.

Tactile stimulation is the sense of touch. The fetus can experience a sense of touch even while still in the womb. The sense of touch can be evoked by several factors including movement, pressure, and the mother's digestive and respiratory systems.In the womb, the fetus is in a dark, warm, and quiet environment.

Therefore, they can feel when their mother touches her stomach or when someone touches her from outside the belly. The tactile stimulation also occurs when the fetus moves around or kicks and stretches. The fetus' tactile sensitivity has been shown to be well-developed by the end of the first trimester.

The fetus is also sensitive to pressure changes. This is because the amniotic fluid in which they are suspended is influenced by changes in pressure. For instance, if the mother is sitting, standing, or lying down, this causes changes in the pressure of the amniotic fluid.

These changes cause the fetus to move or shift their position. This movement, in turn, stimulates the fetus' tactile senses.

Learn more about Fetus at

https://brainly.com/question/31765161

#SPJ11

Answer:

m = -3m+3n/-2b

Step-by-step explanation:

Slope is expressed as;

m = y2-y1/x2-x1

Given the coordinates (a+b,4m-n) and (a-b,m+2n)​

m = (m+2n)-(4m-n)/(a-b)-(a+b)

m = m+2n-4m+n/a-b-a-b

m = m-4m+2n+n/a-a-b-b

m = -3m+3n/-2b

Hence the required slope is m = -3m+3n/-2b

Answer:

2.85

Step-by-step explanation:

You will pay $2.85 for a item with original price of $3.80 when discounted 25%. In this example, if you buy an item at $3.80 with 25% discount, you will pay 3.80 - 0.95 = 2.85 dollars.

Answer:

2.85

Step-by-step explanation:

25%= 100÷25=4

3.80÷4 =0.95

25% of 3.80 = 0.95

discounted price:

3.80-0.95

=2.85

Answer:

125 cu

Step-by-step explanation:

5 x 5 x 5 = 125

There is not enough evidence to support the claim made by the pit crew at α = 0.01.

From the question above, that n = 32, sample mean (X) = 12.9 seconds, standard deviation (s) = 0.19 seconds and level of significance (α) = 0.01

We need to check whether there is enough evidence to support the claim made by the pit crew at α = 0.01.

That means, we need to test the following hypotheses:

Null hypothesis: H₀: μ ≥ 13 (The mean pit stop time is greater than or equal to 13 seconds)

Alternate hypothesis: H1: μ < 13 (The mean pit stop time is less than 13 seconds)

This is a one-tailed test with the rejection region on the left side of the distribution. The critical value can be found using the t-distribution table with (n - 1) degrees of freedom at α = 0.01.

The degree of freedom is (n - 1) = 32 - 1 = 31

From the t-distribution table with 31 degrees of freedom and α = 0.01, we get the critical value t = -2.479.

The test statistic can be calculated using the formula:t = (X - μ) / (s / sqrt(n))

Substituting the given values, we get

t = (12.9 - 13) / (0.19 / sqrt(32))

t = -1.216

The calculated test statistic is -1.216.

It falls outside the rejection region (-2.479 to -∞) and therefore, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to support the claim made by the pit crew at α = 0.01.

Your question is incomplete but most probably your full question was:

In auto racing, a pit crew claims that its mean pit stop time (for 4 new tires and fuel) is less than 13 seconds. A random selection of 32 pit stop times has a sample mean of 12.9 seconds and a standard deviation of 0.19 second.

Is there enough evidence to support the claim at α = 0.01?

Learn more about the mean at:

https://brainly.com/question/32334686

#SPJ11

Answer:

61.504

Step-by-step explanation:

Answer:

There are £61.50 in 992

Step-by-step explanation:

Here, we shall be doing some currency conversions.Now, £31 = 500 rublesThen;£x = 992 rubles To get c, what we do is simply cross multiply £x * 500 rubles = £31 * 992 rubles £x = (£31 * 992 rubles)/500 rubles £x = £61.504which is £61.50 to two decimal places

hope this helps!!

Given the probabilities P(A) = 0.7, P(Ac) = 0.3, P(B|A) = 0.4, and P(B|Ac) = 0.8, the joint probabilities can be calculated as follows: P(A and B) = 0.28, P(A and Bc) = 0.42, P(Ac and B) = 0.12, and P(Ac and Bc) = 0.18.

The joint probability P(A and B) represents the probability of events A and B occurring simultaneously. It can be calculated using the formula P(A and B) = P(A) * P(B|A). Given that P(A) = 0.7 and P(B|A) = 0.4, we can multiply these probabilities to obtain P(A and B) = 0.7 * 0.4 = 0.28.

It can be calculated as P(A and Bc) = P(A) * P(Bc|A). Since the complement of event B is denoted as Bc, and P(Bc|A) = 1 - P(B|A), we can calculate P(A and Bc) as P(A) * (1 - P(B|A)) = 0.7 * (1 - 0.4) = 0.42.

Finally, P(Ac and Bc) represents the probability of both event A and event B not occurring. It can be calculated as P(Ac and Bc) = P(Ac) * P(Bc|Ac). Using P(Ac) = 0.3 and P(Bc|Ac) = 1 - P(B|Ac), we can calculate P(Ac and Bc) as P(Ac) * (1 - P(B|Ac)) = 0.3 * (1 - 0.8) = 0.18.

Therefore, the joint probabilities are: P(A and B) = 0.28, P(A and Bc) = 0.42, P(Ac and B) = 0.24, and P(Ac and Bc) = 0.18.

Learn more about joint probability here:

https://brainly.com/question/30224798

#SPJ11

Answer: First One.

Step-by-step explanation: The first and last options are acceptable, since a line of best fit needs to be as close to all the points as possible (ignoring any anomalies/outliers) but in an exam question the first line of best fit looks slightly better.

If x is the largest of the three consecutive integers, then the three consecutive integers can be represented as x-1, x, and x+1.

The sum of these three consecutive integers is:

(x-1) + x + (x+1)

Simplifying the expression, we get:

3x

Therefore, the expression in terms of the given variables that represents the sum of three consecutive integers when x is the largest is 3x.

To know more about Expression visit-

brainly.com/question/14083225

#SPJ11

An example of a one-way ANOVA that could be conducted as both a between-subjects and repeated-measures design is a study comparing the effectiveness of three different teaching methods on student performance. Conducting the ANOVA as a repeated-measures design would be more appropriate in this case.

Suppose a researcher wants to investigate the impact of three teaching methods (A, B, and C) on student performance in a specific subject.

In a between-subjects design, different groups of students would be assigned to each teaching method, and their performance scores would be measured and compared.

This would involve independent groups of participants, with each participant experiencing only one teaching method.

On the other hand, in a repeated-measures design, the same group of students would receive all three teaching methods in a random order, and their performance scores would be measured after each method.

This allows for a direct within-subject comparison of the three teaching methods, as each participant serves as their control.

In this example, a repeated-measures design would be more appropriate.

It eliminates the individual differences between participants, making the comparison more accurate and reducing the variability in the data.

Additionally, using a repeated-measures design requires a smaller sample size compared to a between-subjects design, which can be more cost-effective and efficient.

By using a repeated-measures design, the researcher can directly observe the effect of each teaching method on the same group of students, leading to a more robust and precise analysis of the teaching methods' effectiveness.

Learn more about ANOVA here:

https://brainly.com/question/23638404

#SPJ11

She should score more than 77 on the fifth quiz to have an average of at least 84 .

The average is the middle value of a set of numbers. This isn't to be confused with the median, which is the middle of a set of numbers. The average is the middle value of the numbers. If you need to find the average of a set of numbers, you add them all together and divide by the amount of numbers.

Formula of average:

\(Average = \frac{Sum of terms }{Number of terms }\)

According to the question

A student has scores on four quizzes : 85,83,98,77

she score on the fifth quiz to have an average of at least 84

Let fifth quiz score = x

By using formula of average:

\(Average = \frac{Sum of terms }{Number of terms }\)

As average should be at least 84

\(84 < \frac{85+83+98+77+x }{5 }\)

420 < 343+x  

420 - 343 < x

77< x

Therefore,

x should be greater than 77 .

Hence, she should score more than 77 on the fifth quiz to have an average of at least 84 .

To know more about average here:

https://brainly.com/question/24057012

#SPJ3

Answer:

The answer to your problem is, D. 66 degrees

Step-by-step explanation:

Given that ∠PTQ ≅ ∠RTS

The measure of the arc SR = 66°

So ∠RTS = 66°

But also, ∠PTQ ≅ ∠RTS

Therefore ∠PTQ = 66°

and the measure of the arc PQ = ∠PTQ

Thus the answer to your problem is, D. 66 degrees

Answer:

g(-4) = 8

Step-by-step explanation:

If x = -4, we would use the expression of the limit "if x is less than or equal to -1" since x is just that.

We would then plug in our x value into the expression and solve for g(x)

g(x) = -x + 4 -->  -(-4) + 4 = 4 + 4 = 8

Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

Know more about fraction here:

https://brainly.com/question/10354322

#SPJ11

The measure of BC is 26.

It is required to find Bc.

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely.

Given that:

If b is the midpoint of AC, it means the point B divides the line segment AC in two equal parts. So, the measure of AB and the measure BC are equal to half of the measure of AC.

AB=BC

first we know that:

AB+BC=AC

So,

AB+BC=AC

It can also be written as

AB+AB=AC

3x-1+3x-1=8x-20

6x-2=8x-20

-2+20=8x-6x

18=2x

x=9

∴

AB=3(9)-1=27-1=26

AC=8(9)-20=52

BC=AB=26

Therefore, the measure of BC is 26.

Learn more about line here:

https://brainly.com/question/17188072

#SPJ1

Answer:

y = x - 5

Step-by-step explanation:

\( \rm Solve \: for \: y: \\ \rm \longrightarrow x - y= 5 \\ \\ \rm Subtract \: x \: from \: both \: sides: \\ \rm \longrightarrow x - y - x = 5 - x \\ \\ \rm \longrightarrow -y = 5 - x \\ \\ \rm Multiply \: both \: sides \: by \: -1: \\ \rm \longrightarrow - y \times ( - 1) = (5 - x) \times ( - 1) \\ \\ \rm \longrightarrow y = x - 5\)

Answer:

18.3303

Step-by-step explanation:

8x8 = 64

20x20=400

64-400= 336

√336 = 18.3303027798

or 18.3

The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

To learn more about Expression :

https://brainly.com/question/1859113

#SPJ11

Answer:

Yes, because each x-value corresponds to one y value.

Step-by-step explanation:

If you look at the table, you notice that there is one output (y) for every input (x). This means that it is a function. It would NOT be a function if you had two outputs for an input. For example, there are two x values that are 6. For one coordinate pair, the table says (6,9) and (6,8). Since there are two values for the same input- it wouldn't be a function. In this case, there is an input of 4 and 5 with the same output. That is okay! Even though they have the same y value, those inputs still only have ONE output.

The number of regular sodas served is 12.

Percentage is the fraction of an amount that is expressed as a number out of hundred. The sign that is used to represent percentage is %. Percentage is a measure of frequency.

Number of regular sodas served = percentage of regular sodas served x number of sodas served

= 25% x 48

= 25/100 x 48 = 12

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1

Answer:

7x-4+x=-1+13x+7

8x-4=13x+6

add 4 to both sides

8x-4+4=13x+6+4

8x=13x+10

subtract 13x from both sides

8x-13x=13x+10-13x

-5x=10

divide both sides by -5

-5x÷-5=10÷-5

x=-2

I hope this is good enough: