8v+5=1
v=_
pls help!!!

Answer:

88

Step-by-step explanation:

We can set up the proportion 8/1 = x/11. By cross-multiplying, we get that x = 88.

We can conclude that the dilated triangle abc is similar to the original triangle ABC with a dilation factor of 3,

Dilation is a transformation that performs a proportional resize of a figure. It changes the size of the figure while maintaining its shape and orientation. To dilate triangle ABC to create triangle abc, we can multiply the coordinates of each vertex of ABC by a dilation factor of 3.

The coordinates of the vertices of the original triangle ABC are A(-3,-3), B(3,3), and C(0,3). Multiplying each coordinate by 3 gives the coordinates of the vertices of the dilated triangle abc : A(-9,-9), B(9,9), and C(0,9).

We can compare the two triangles to see how the dilation has affected them. The size of triangle abc is three times larger than that of triangle ABC. The shape and orientation of triangle abc are the same as that of triangle ABC. The vertices of the dilated triangle, abc, are located at three times the distance from the origin as the corresponding vertices of triangle ABC. That is why the coordinates of all vertices of triangle abc are three times the coordinates of the corresponding vertices of triangle ABC. since the triangle was resized proportionally and has the same shape and orientation.

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Answer:

99cm^3

Step-by-step explanation:

Volume = Base x Height

Base = 9cm

Height = 11cm

9 x 11 = 99cm^3

The volume of the prism is V = 792 cm³

Given data:

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

So, the value of h = 8 cm

The base area is B = 9 x 11

B = 99 cm²

The volume of prism V = Bh

V = 99 x 8

V = 792 cm³

Hence, the volume of the prism is V = 792 cm³

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Answer:

52.19612

Step-by-step explanation:

just type it in a calculator and you get

52.19612

Answer:

59

Step-by-step explanation:

\(180=31+90+x\\\\180=121+x\\x=180-121\\x=59\)

using sum of angles in a triangle

Step-by-step explanation:

Let the missing angle be ' x ' .

Now, Set up an equation and solve for x

\( \tt{x \degree + 90 \degree \: + 31 \degree = 180 \degree}\) { Sum of angles of a triangle }

⇢ \( \tt{x \degree + 121 \degree = 180 \degree}\)

⇢ \( \tt{ \: x \degree = 180 \degree - 121 \degree}\)

⇢ \( \tt{x \degree = 59 \degree}\)

\( \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{59 \degree}}}}}}\)

Hope I helped ! ツ

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Answer:

(2x+1) (2x-7)

Step-by-step explanation:

Multiply the coefficient of the first term by the constant   4 • -7 = -28

Find two factors of  -28  whose sum equals the coefficient of the middle term, which is   -12

(  -28    +    1    =    -27  

     -14    +    2    =    -12  )

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  2  

                    4x2 - 14x + 2x - 7

Add up the first 2 terms, pulling out like factors :

                   2x • (2x-7)

             Add up the last 2 terms, pulling out common factors :

                    1 • (2x-7)

Add up the four terms :

                   (2x+1)  •  (2x-7)

Answer:

Step-by-step explanation:

dwiduhdsudhdvd

we have three sides, let's look at the two smaller sides first.

check the picture below, atop

if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side?  Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 6 - 6 = 0.  However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle.  So whatever the third side may be, it must be greater than 0.

check the picture below, at the bottom

Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 6 + 6 = 12.  However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle.  So whatever the third side may be, it must be less than 12.

so, 12 is  a no dice.

Answer:

for question 2 the answer is 8

Step-by-step explanation:

Hope this helps!

If not I am sorry.

Answer:

a = (v - u)/t.

Step-by-step explanation:

v = u + at

v - u = at

(v - u)/t = a.

C-reactive protein (CRP) tiers were measured in a pattern of apparently healthy children elderly 6 to 60 months in Papua New Guinea. Given the presence of many zero values within the facts, the implication may not be a good characterization of the center of this distribution. The median could be an extra suitable degree in this case.

A. In this situation, it is not suitable to apply the imply as an amazing characterization of the middle of the distribution. The cause is that the statistics consist of a large number of 0 values, on the way to heavily have an impact on the suggestion.

Since CRP values increase considerably throughout an infection, the presence of many 0 values suggests that a sizable part of the youngsters within the look-at aren't presently experiencing contamination. Therefore, the implications can be heavily prompted by way of the massive quantity of zeros, resulting in a faulty representation of the center of the distribution.

B. To higher signify the middle of this distribution, it might be extra suitable to use the median. The median is not affected by extreme values or outliers as an awful lot because they imply, and it represents the center fee of the statistics when its miles are organized in ascending or descending order.

In this situation, the median will provide a more robust degree of the principal tendency of the CRP values, specifically considering the presence of many 0 values in the dataset.

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Answer:

Step-by-step explanation:

To find the explicit formula for the sequence 31, 27, 23, ..., we first need to find the common difference between consecutive terms.

We can see that each term is obtained by subtracting 4 from the previous term. Therefore, the common difference is -4.

Using the general formula for an arithmetic sequence:

an = a1 + (n - 1)d

where a1 is the first term, d is the common difference, and n is the index of the term we want to find.

In this sequence, a1 = 31 and d = -4. So, we have:

an = 31 + (n - 1)(-4)

Simplifying, we get:

an = 35 - 4n

Therefore, the explicit formula for the n-th term of the sequence 31, 27, 23, ... is an = 35 - 4n.

We need to make approximately $28.85 an hour to make $60,000 a year, working 40 hours a week for 52 weeks.

To determine how much you need to make an hour to earn $60,000 a year, follow these steps:
1. Calculate the total hours worked in a year:

There are 52 weeks in a year, and you work 40 hours a week.

Multiply these values to find the total hours worked annually :

52 weeks * 40 hours/week = 2080 hours.
2. Divide the desired annual salary by the total hours worked:

To make $60,000 a year, divide this amount by the total hours worked (2080 hours):

$60,000 / 2080 hours = $28.85/hour.

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To meet safety condition where distance between base of a ladder and the building should be one-third of the length of ladder, we can set up a proportion using the given information.Therefore, ladder is 60 feet long.

Let's denote the length of the ladder as L and the distance between the base of the ladder and the building as D.                                       According to the safety condition, we have the equation:

D = (1/3) * L

Given that the window is 20 feet above the ground, we can consider the ladder reaching the window as the height of the ladder, which is L, and the distance between the base of the ladder and the window as D + 20 (taking into account the 20 feet above the ground).

Using the proportion:

D + 20 = (1/3) * L

Substituting the safety condition equation into the proportion, we get:

(1/3) * L + 20 = (1/3) * L

Simplifying the equation, we find:

20 = (1/3) * L

To solve for L, we can multiply both sides of the equation by 3:

60 = L

Therefore, a ladder that is 60 feet long is needed to meet the safety condition, ensuring the distance between the base of the ladder and the building is one-third of the length of the ladder.

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Answer:

Shirts are 21.00 Ties are 16.00

Step-by-step explanation:

21+21+21=63+16+16=95.00 Mr Stock

21+21+16=58

The probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

Given that Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350.

The z score formula is given by;`z = (x - μ) / σ`

Where; x is the raw scoreμ the mean of the populationσ is the standard deviation of the population.

The probability that Edward’s monthly tip income exceeds $2,350 is to be found.`z = (x - μ) / σ``z = (2350 - 2000) / 350``z = 1`

The value of z is 1.

To find the area in the right tail, use the standard normal distribution table.

The table value for z = 1.0 is 0.8413.

Therefore, the probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

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Answer:

The degree of f(x) is even and the leading coefficient is positive. There are 3 real zeros and 2 relative minimum values.

Step-by-step explanation:

We have the graph of f(x).

In general, remember these points:

For even-degree functions:

And for odd-degree functions:

P.S. Yes, it's a lot. But grasping these concepts will help you greatly in future mathematics!

Anyways, let's go back to our problem. Our graph has the same end behavior, so it must be an even function.

Moreover, both end behavior are approaching positive infinity, so the leading coefficient must be positive.

The real zeros of a function are whenever the graph touches or crosses the x-axis. We see that it happens only three times (this is circled in blue below in the image).

The relative minimum values are whenever the graph reaches its lowest point between an increasing and decreasing (or decreasing and increasing) curve. This happens twice (this is circled in black below in the image).

Note: The black arrows denote whether the graph is increasing or decreasing (down means decreasing, up means increasing).

So, you can see that our minimums will always be between a decreasing and then an increasing curve.

So, our solution is:

The degree of f(x) is even and the leading coefficient is positive. There are 3 real zeros and 2 relative minimum values.

And we're done!

Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,

and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.

They need to think about how their technology could be used, and whether it could be used to harm people or the environment.

They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,

and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.

For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.

In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.

This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.

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the answer is True :))))

Answer: 9/2

Step-by-step explanation:

Answer:

9:2

Step-by-step explanation:

Find the HCF of the numerator and denominator which is 6.

Divide the numerator and denominator by the HCF (54÷6)÷(12÷6)

The answer will be 9÷2 which is also 9:2

Answer:

Step-by-step explanation:

(2 1/2) : (1/4) = 10/1 =10

Answer:

equal to rolling an odd number

Step-by-step explanation:

fair number cube is your average 6 side die

even numbers = 2,4,6

odd numbers = 1,3,5

total sides=6

even number probability = 3/6

odd number probability = 3/6

Answer:

\( 2\sqrt{2} \)

Step-by-step explanation:

\( g(x) = \sqrt{x - 4} \)

\( h(x) = 2x - 8 \)

\( h(10) = 2(10) - 8 = 12 \)

\( g(h(10)) = g(12) = \sqrt{12 - 4} \)

\( g(h(10)) = \sqrt{8} = 2\sqrt{2} \)

Answer: \( 2\sqrt{2} \)

Answer:

2 square root 2

Step-by-step explanation:

the particular solution of the differential equation dy/dx = 3y + 7 satisfying the initial condition y(0) = 0 is y = -7/3 + 7/\(3e^{(3x)}.\)

To find the particular solution of the differential equation dy/dx = 3y + 7 satisfying the initial condition y(0) = 0, we can use the method of integrating factors.

First, let's rearrange the equation in the standard form:

dy/dx - 3y = 7

The integrating factor (IF) can be found by multiplying the entire equation by the exponential of the integral of the coefficient of y, which in this case is 3:

IF = e^(∫(-3)dx)

= \(e^{(-3x)}\)

Next, multiply both sides of the equation by the integrating factor:

e^(-3x) * dy/dx - 3\(e^{(-3x)}\) * y

= 7\(e^{(-3x)}\)

The left side of the equation can be rewritten using the product rule:

(d/dx)\((e^{(-3x) }\)* y) = 7\(e^{(-3x)}\)

Integrating both sides with respect to x:

∫(d/dx)(\(e^{(-3x)}\)) * y) dx = ∫7\(e^{(-3x)}\) dx

e^(-3x) * y = ∫7e^(-3x) dx

Using integration, we have:

e^(-3x) * y = -7/3 * e^(-3x) + C

Now, applying the initial condition y(0) = 0, we can substitute x = 0 and y = 0 into the equation:

e^(-3(0)) * 0 = -7/3 * e^(-3(0)) + C

0 = -7/3 + C

C = 7/3

Substituting C back into the equation:

e^(-3x) * y = -7/3 * e^(-3x) + 7/3

Dividing both sides by e^(-3x):

y = -7/3 + 7/3\(e^{(3x)}\)

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Answer:

The estimate size of the crowd is 52800 people

Step-by-step explanation:

The given information are;

The number of people that fit comfortably in a 2 by 2 foot area = 5

Therefore, we have;

The area occupied by the 5 people = 2 × 2

The crowd ratio = 5/(2 × 2) = 5/4

The area occupied by the crowd = 4 feet deep, and 1 mile long on both sides of the street

By conversion factors, 1 mile = 5,280 feet

Therefore, the area occupied by the crowd = 4 × 5280 × 2 = 42240 ft²

The number of people in the crowd = Crowd ratio × The area occupied by the crowd

The number of people in the crowd = 5/4 × 42240 = 52800 people

Therefore, The estimated size of the crowd = 52800 people.

Answer:

X = Y(W + Z)

Step-by-step explanation:

X/Y - Z = W

X/Y = W + Z

X = Y(W + Z)

The solution is,

⇒ r = -2 - C exp(-θ)

where C is the constant of integration.

We can solve it by taking the partial derivative of exp(4θ),

with respect to r, and the partial derivative of 4rexp(4θ) with respect to θ.

⇒ ∂/∂r (exp(4θ)) = 0

⇒ ∂/∂θ (4rexp(4θ)) = 4exp(4θ)

Since ∂M/∂r = 0 and ∂N/∂θ = 4exp(4θ),

The equation is not exact.

Now we'll need to find an integrating factor.

Since the coefficient of dr is exp(4θ),

Multiplying both sides of the equation by exp(-4θ) to get,

⇒ exp(θ)(dr + 4rdx) = 0

Now, we can check for exactness again,

⇒ ∂/∂r (exp(θ)) = 0

⇒ ∂/∂θ (4rexp(θ) = 4exp(θ)

Since ∂M/∂r = 0 and ∂N/∂θ = 4exp(θ),

the equation is exact.

To solve, we can integrate the first term with respect to r, treating θ as a constant,

⇒ ∫ exp(θ) dr + ∫(4rexp(θ)dθ = C

⇒ exp(θ) r + 2exp(θ) + C = 0

⇒ r = -2 - C exp(-θ)

where C is the constant of integration.

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