How do I Evaluate (−9)²

Answer:

\(\frac{100}{w}\)

Step-by-step explanation:

When it asks for the quotient you are dividing/ putting it in a fraction.

Based on the calculations we have rejected the null hypothesis .

Given,

Standard deviation = $ 45

Random sample = 20

Now,

Part 1

Set the null hypothesis and alternative hypothesis,

\(H_{0} : u = 0\\ H_{0} : u > 606.40\)

Part 2

The value of z critical signifies 5% level of significance .

\(Z_{0.05} = 1.65\)

According to critical value if z after calculation is greater than or equal to 1.65 we reject the null hypothesis .

Part 3

The value of Z can be calculated by the formula,

Z = X - µ/σ/√n

Substitute the values ,

Z = 628.85 - 606.40/45/√20

Z = 1.93

Part 4

From the above calculation the value of Z is greater than the critical value .

Thus we reject the null hypothesis .

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Answer:

v =  sqrt(473)

Step-by-step explanation:

v^2 = u^2 +2as

Let u = 9 a = 7 and s = 28

v^2 = 9^2 +2(7)(28)

v^2 = 81 + 392

v^2 = 473

Take the square root of each side

sqrt(v^2) = sqrt(473)

v =  sqrt(473)

Answer:

x ≈ 7.1

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos27° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{KL}{KM}\) = \(\frac{6.3}{x}\) ( multiply both sides by x )

x × cos27° = 6.3 ( divide both sides by cos27° )

x = \(\frac{6.3}{cos27}\) ≈ 7.1 ( to the nearest tenth )

Answer:

Step-by-step explanation:

simple! plug in the 5 for x, f(5)=2(5)+8

f(5)=10+8

f(5)=18

f(8)=3(8)+4

f(8)=28

Answer:

10 smoothies

Step-by-step explanation:

because each 3/8th yields 2 smoothies and the leftovers from each cup made 2 more.

Answer:

2x + 3x + 5x = 180

10x = 180

x = 18

2x = 36, 3x = 54, 5x = 90

They add up to 180 (definition of sum of angles of a triangle.)

Step-by-step explanation:

#g o o g l e

Answer:

EC and CB

DC and AC

Angle DCB and Angle ECA

Step-by-step explanation:

Line EC and Line CB both have the same measure of 32ft.

Line DC and Line AC both have the same measure of 28ft.

The angles are the sum of the same measures.

The first-order optimality condition for convex optimization problems can be applied to characterize the optimal point, x* in the given optimization problem.

The first-order optimality condition states that if x* is an optimal point for the given convex optimization problem, then there exists a vector v* such that:

∇f(x*) + v* = 0

Here, ∇f(x*) is the gradient of the objective function f(x) evaluated at x*, and v* is the Lagrange multiplier associated with the constraint x ∈ C.

In the given optimization problem, the objective function is ∥a−x∥², and the constraint set is C.

To apply the first-order optimality condition, we need to find the gradient of the objective function. The gradient of ∥a−x∥² is given by:

∇f(x) = 2(x - a)

Now, let's apply the first-order optimality condition to the given problem:

∇f(x*) + v* = 0

Substituting the gradient expression:

2(x* - a) + v* = 0

Rearranging the equation:

x* = a - (v*/2)

This equation provides a characterization of the optimal point x* in terms of the Lagrange multiplier v*. By solving the equation, we can find the optimal point x*.

It's important to note that the Lagrange multiplier v* depends on the constraint set C. The specific form of v* will vary depending on the nature of the constraint set. In some cases, it may be necessary to further analyze the specific properties of the constraint set C to fully characterize the optimal point x*.

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There are 90 4-digit palindromes

Palindromes are numbers whose reverse is the same as the original number

Since the digit is 4, then

So, the total number of digits is:

\(n =9 * 10 * 1 * 1\)

Evaluate the product

\(n =90\)

Hence, there are 90 4-digit palindromes.

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Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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Answer:

170 miles

Step-by-step explanation:

Use 80 miles and 150 miles as the legs of a right triangle, and find the length of the hypotenuse using the Pythagorean theorem.

a² + b² = c²

80² + 150² = c²

6400 + 22500 = c²

c = √28900

x = 170

Answer: 170 miles

Answer:

C) 4a-2a=a+a

Step-by-step explanation:

4a-2a=2a

2a=a+a

2a=2a

answer:

option c is correct!

explanation:

hope this helped! <3 i answered your question & hope you have a great day! if you wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

Answer: x=2

Step-by-step explanation: f(x) = x + 8

f(x) = 10

10 = x + 8

minus 8 from the both sides

10 - 8 = x

2 = x

x = 2

Remember that the rule for a dilation by a factor of k about the origin is:

Identify the coordinates of the points W, X and Z. Then, apply a dilation by a factor of 3 about the origin to find W', X' and Z', the new coordinates after the dilation.

Apply a dilation by a factor of 3:

Therefore, the new coordinates would be:

Answer:

60n

Step-by-step explanation:

Pretty easy, just add up the numbers as if they're regular numbers and then add n to it after.

18+42=60

Now add n

60n

Answer:

The answer is 60n

Step-by-step explanation:

Answer:

B. Triangles are similar by SAS

Step-by-step explanation:

3.8/2=1.9

4.6/2=2.3

therefore they are similar

Answer:b

Step-by-step explanation:

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

The number of hours until the city is locked down is given as follows:

229 hours.

The function for this problem is defined as follows:

p(t) = 0.004t³ + 0.001t + 1.

For which the variables are given as follows:

The rate of change of the infection in 72 hours = 3 days is given by:

p'(3).

The derivative of the function is given as follows:

p'(t) = 0.012t² + 0.001.

After the instantaneous rate after 3 days is given as follows:

p'(3) = 0.012(3)² + 0.001

p'(3) = 0.109.

The city will lock down when p'(t) = 10 x p'(3) = 1.09 that is:

0.012t² + 0.001 = 1.09.

0.012t² + 0.001 - 1.09 = 0.

Hence the time in days is obtained as follows:

0.012t² = 1.089

t² = 1.089/0.012

t² = 90.75

\(t = \sqrt{90.75}\)

t = 9.53 days.

Each day is composed by 24 hours, hence the time in hours is obtained as follows:

9.53 x 24 = 229 hours. (rounding to the nearest whole integer).

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Answer:

first option

Step-by-step explanation:

For the proportion to be true :

we must get and equation when we cross multiply fraction

18/48 = 27/72 cross multiply

72*18 = 27*48

1296 = 1296 the answer we are looking for is first option.

Answer:

y= - 2x-4-8

or try math-way

Step-by-step explanation:

Answer

\( \boxed{\mathsf{3x(x + 3)}}\)

Step by step explanation

\( \mathsf{3 {x}^{2} + 9x}\)

Take 3x as common

⇒\( \mathsf{3x(x + 3)}\)

Hope I helped!

Best regards!

Answer:

Step-by-step explanation:

Factor 3x out of 3x^2=3x(x)-9x=Factor 3x out of 9x=3x(x)+3x(-3)=factor 3x out of 3x(x)+3x(-3). =3x(x-3).

We can fit 25 notebooks on the space.

Now, According to the question:

The width of the notebook is 2/5

The length of the space is 10 inches.

To find the number of the notebooks can put there divide 30 by 2/3

Number of the books : \(\frac{10}{\frac{2}{5} }\) = 10 × \(\frac{5}{2}\)

=> 50/2 = 25

The number of the notebook is 25

We can fit 25 notebooks on the space.

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The density is constant, we can pull it out of the integral. So, we have: mass = density * integral of area. To find the mass of the plate, we can integrate the area times the density.

Since the curve \(y = x^2\) is a function of x, we can use the following formula to find the area between the curve and the x-axis:

area = integral from a to b of [f(x) - g(x)] dx where f(x) is the upper function (in this case, \(y = x^2\)),

g(x) is the lower function (the x-axis), and a and b are the limits of integration (0 and 2, in this case).

So, we have: area = integral from 0 to 2 of [\(x^2\) - 0] dx= integral from 0 to 2 of \(x^2 dx= [x^3/3]\)

from 0 to \(2= (2^3/3) - (0^3/3)\)

= 8/3 \(cm^3\)

Now we can find the mass:

mass = density * area= 3 g/\(cm^2\) * (8/3) \(cm^3\)= 8 g

So the total mass of the plate is 8 g.(b)

To sketch the plate, we need to plot the curve \(y = x^2\) and shade in the region bounded by the curve and the x-axis from x = 0 to x = 2.

This region is a parabolic shape with a base of 2 cm and a height of 4 cm (since \(y = x^2\) and y = 0 when x = 0 and x = 2).

So the area of the plate is a triangle with base 2 cm and height 4 cm, which has an area of (1/2)bh = (1/2)(2 cm)(4 cm) = \(4 cm^2\).

Since the density of the plate is 3 g/\(cm^2\), the mass is:

mass = density x volume= density x area x thickness.

Since the thickness is not given, we can't find the mass directly. However, we can say that the mass is proportional to the thickness, so if we double the thickness, the mass will double as well.

Therefore, we can't say whether a is greater than or less than 1.

(c) The moment of inertia of the plate about the x-axis is given by:

Ix = density * integral from a to b of y * (distance from y to x-axis)\(^2 dy\)

Since the plate has constant density,

we can factor it out of the integral:

Ix = density * integral from a to b of y * (distance from y to x-axis)^2 dy= density * integral from 0 to 2 of x^4 dx

= density * \([x^{5/5}]\) from 0 to 2

= density * \((2^{5/5})\)

= (3 g/\(cm^2\)) * \((32/5) cm^5\)

= 96/5 g \(cm^2\)

So

a = Ix/mass = (96/5) g \(cm^2\) / 8 g

= 12 \(cm^2\).

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answer:

the probability of choosing a gray button is 3/5

after putting it back the probability remains the same, so 3/5 for both answers

Answer:

\(\sf \dfrac{3}{10}\) = 0.3 - 30%

Step-by-step explanation:

\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)

Given:

\(\sf P(gray) = \dfrac35\)

If the button is not replaced, there are now:

\(\sf P(gray) = \dfrac24=\dfrac12\)

Therefore,

\(\sf P(gray)\:AND\:P(gray)= \dfrac35 \times \dfrac12=\dfrac{3}{10}\)