Stuck on. This one please help

Answer:

$406.25

Step-by-step explanation:

Multiply 16.25 by 25:

16.25(25)

= 406.25

So, her gross wages were $406.25

Answer:

406.25

Step-by-step explanation:

Answer:

it is a commutative property

Lucio is 64 meters from the starting point.

The square has four sides of equal length, so Lucio has walked half the length of one side.

To return to the starting point, he needs to walk the other half of the side, which is 64 meters.

The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.

With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.

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The question in English:

In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?

Answer:

Intersecting (fourth answer choice)

Step-by-step explanation:

First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where

Converting y - 3x = 4x to slope-intercept form:

(y - 3x = 4x) + 3x

y = 7x

Thus, the slope of this line is 7 and the y-intercept is 0.

Converting 6 - 2y = 8x to slope-intercept form:

(6 - 2y = 8x) - 6

(-2y = 8x - 6) / -2

y = -4x + 3

Thus, the slope of this line is -4 and the y-intercept is 3.

Checking if y = 7x and y = -4x + 3 are perpendicular lines:

We can show this in the following formula:

m2 = -1 / m1, where

Thus, we only have to plug in one of the slopes for m1.  Let's do -4.  

m2 = -1 / -4

m2 = 1/4

Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.

 Checking if y = 7x and y = -4x + 3 are parallel lines:

The slopes of parallel lines are equal to each other.

Because 7 and -4 are not equal, the two lines are not parallel.

Checking if the lines intersect:

Method to solve the system:  Elimination:

We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:

-1 (y = 7x)

-y = -7x

----------------------------------------------------------------------------------------------------------

    -y = -7x

+

    y = -4x + 3

----------------------------------------------------------------------------------------------------------

(0 = -11x + 3) - 3

(-3 = -11x) / 11

3/11 = x

Now we can plug in 3/11 for x in y = 7x to find y:

y = 7(3/11)

y = 21/11

Thus, x = 3/11 and y = 21/11

We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3.  If we get the same answer on both sides of the equation for both equations, the lines intersect:

Checking solutions (x = 3/11 and y = 21/11) for y = 7x:

21/11 = 7(3/11)

21/11 = 21/11

Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:

21/11 = -4(3/11) + 3

21/11 = -12/11 + (3 * 11/11)

21/11 = -12/11 + 33/11

21/11 = 21/11

Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).

This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.

Answer:

8

Step-by-step explanation:

Answer: the value of the directional derivative of the pressure function at Kearney in the direction of Sioux City is - 0.09 mb/km

Step-by-step explanation:

lets make an assumption that P is the pressure of the function

Now to estimate the value of the directional derivative of the pressure function at Kearney in the direction of Sioux City wil be DuP

The initial point of the line joining the point of kearney and sioux lays on the level curve which represent 1000mb of pressure

and the terminal point of the line joining the point of kearney and sioux lays on the level curve which represent 972 mb of pressure

so let our X1 = 1000 mb

X2 = 972 mb

the given distance between kearney and sioux d = 300 km

so the directional derivative DuP at Kearney in the direction of Sioux City is approximated by finding the average rate change of the pressure between the points

so DuP  = (X2 - X1) / d

= (972 - 1000) / 300

= -28 / 300

= - 0.09 mb/km

Therefore the value of the directional derivative of the pressure function at Kearney in the direction of Sioux City is - 0.09 mb/km

Pressure is a measure of unit force acting on an area.

The estimated value of the directional derivative of the pressure function is -0.093mb/km

The given parameters from the complete question are:

\(\mathbf{P_1 = 972mb}\)

\(\mathbf{P_2 = 1000mb}\)

\(\mathbf{d = 300km}\)

So, the value of the directional derivative of the pressure function is:

\(\mathbf{D\mu P = \frac{P_1 - P_2}{d}}\)

This gives

\(\mathbf{D\mu P = \frac{972 - 1000}{300}}\)

\(\mathbf{D\mu P = \frac{-28}{300}}\)

\(\mathbf{D\mu P = -0.093}\)

Hence, the estimated value of the directional derivative of the pressure function is -0.093mb/km

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A solution to an equation is a value that, when substituted for the variable, makes the equation true. In the equation x+2=7, the solution is x=5.

This is because if we substitute 5 for x, the equation becomes 5+2=7, which is a true statement. To find this solution, we need to solve the equation by subtracting 2 from both sides, leaving us with x=5. This solution works because it satisfies the equation; when we substitute 5 for x, the equation is true.

In equations, solutions are important because they are the values that make the equation true. Without solutions, equations would remain unsolved and incomplete, which is why it is important to find the solution to an equation.

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Answer:

5hours

Step-by-step explanation:

120÷2=60

60=1 hour

300÷60=5

5hours

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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TJohn's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.

And the correct graph is D.

To represent the given problem as a system of equations, we can use the following information:

John is 70 years younger than Sharon: j = s - 70

Sharon is 4 times as old as John: s = 4j

Let's plot the graph for this system of equations:

First, let's solve equation (2) for s:

s = 4j

Now substitute this value of s in equation (1):

j = s - 70

j = 4j - 70

3j = 70

j = 70/3

Substitute the value of j back into equation (2) to find s:

s = 4j

s = 4(70/3)

s = 280/3

The solution to the system of equations is j = 70/3 and s = 280/3

In the graph d, the solution to the system of equations is represented by the point (70/3, 280/3), which is approximately (23.33, 93.33) on the graph.

Therefore, John's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.

And the correct graph is D.

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Step-by-step explanation:

Results of the Assembly elections in five States are indeed a shot in the arm for the Bharatiya Janata Party (BJP), which won in all four States where it was in power. The Hindu editorial captures the broad trends that emerge out of these results. Prime Minister Narendra Modi has said these results have sealed the outcome of the 2024 Lok Sabha elections too in the BJP’s favour. He said people have rejected caste and dynastic politics.

b. The  number of successes in the Washington sample were 4740 .

The number of  failures in the Washington sample is 1,260

c. the 95% confidence interval for the true difference in population proportions between the people of Washington, DC, and the people of Atlanta who agree with the statement "Employers should be required to pay men and women the same salary for the same job" is 0.018 to 0.068.

(b) Number of successes and failures in the Washington sample:

Total number of respondents in the Washington sample: 6,000

Percentage who agreed with the statement: 79%

Number of successes = 79% of 6,000

= 0.79 * 6,000

= 4,740

Number of failures = Total - Number of successes

= 6,000 - 4,740

= 1,260

(c)

confidence interval = (p1 - p2) ± Z * √((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

p1 = Proportion of successes in the Washington sample

p2 = Proportion of successes in the Atlanta sample

n1 = Size of the Washington sample

n2 = Size of the Atlanta sample

Z = Z-score for the desired confidence level = 1.96

confidence interval = (0.79 - 0.74) ± 1.96 * √((0.79 * (1 - 0.79) / 6000) + (0.74 * (1 - 0.74) / 4800))

confidence interval = 0.05 ± 1.96 * √((0.79 * 0.21 / 6000) + (0.74 * 0.26 / 4800))

confidence interval = 0.05 ± 1.96 * √(0.00013815 + 0.0001244583)

confidence interval = 0.05 ± 1.96 * √(0.0002626083)

Lower bound of the confidence interval (DC - Atlanta)

= 0.05 - 0.0317226549

=  0.018

Upper bound of the confidence interval (DC - Atlanta)

= 0.05 + 0.0317226549

= 0.068

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Answer:

The solution (3, -2).

Step-by-step explanation:

The easiest way to find this solution is inputting these two equations into Desmos Graphing Calculator!

Answer:

x = 3,y = -2

Step-by-step explanation:

Given data:

Y= -2

4x -3y=18

Solve:

Substitute the given y-value into 4x−3y=18 and solve for x

Since, y = -2,

\(4x-3(-2)=18\)

\(4x+6=18\)

\(4x+6-6=18-6\)

\(4x=12\)

\(\frac{4x}{4}=\frac{12}{4}\)

\(x = 3\)

The solution to the system of equations is x = 3, y = -2

~Learn with Lenvy~

Answer:

x

)

=

2

x

4

−

3

x

+

3

f(x)=2x

4

−3x+3, then what is the remainder when

f

(

x

)

f(x) is divided by

x

−

1

x−1?

Answer:

x = \(\frac{1}{3}\)

Step-by-step explanation:

2x - 4x = x - 1

-3x = -1

x = \(\frac{1}{3}\)

Answer: The function f(x) = || is the absolute value function of x, which is defined as f(x) = |x|. The graph of this function is a "V" shape, with the vertex at the origin (0,0) and the lines x = 0 and y = 0 as the asymptotes. The graph of f(x) starts at the origin and increases as x increases or decreases, but never reaches x-axis.

The function g(r) = (-1)|r| is the absolute value function of r, multiplied by -1. The effect of multiplying the function by -1 is to reflect the graph of f(x) across the x-axis. So the graph of g(r) will be a "V" shape, with the vertex at the origin, and the lines x = 0 and y = 0 as the asymptotes. The graph of g(r) starts at the origin and decreases as r increases or decreases, but never reaches x-axis.

In summary, the effect of the change on the graph of f(x) = || is that it will be reflected across the x-axis.

Step-by-step explanation:

After using the deductive reasoning the procedure always produces the number 8.

Procedure:

Let the number be x.

We have to add 5 to the number x.

So the expression is x + 5.

We have to multiply the sum by 3.

Now the expression is 3(x + 5).

Now we have to subtract 7.

Now the expression is 3(x + 5) - 7.

Then we have to decrease this difference by the triple of the original number.

The triple of original number is 3x.

Now the expression is {3(x + 5) - 7} - 3x.

Now solving this expression

= {3(x + 5) - 7} - 3x.

First simplify the bracket

= 3x + 15 - 7 - 3x.

= 8

Now we can se that the after following the whole procedure the answer is 8.

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The distance PQ cannot be expressed as k√5, where k is a rational number given that PQ = √18

To find dy/dx, we can use implicit differentiation:

4xy = 2(x² + 4y²) - 9x

Differentiating both sides with respect to x, we get:

4y + 4xy' = 4x + 8yy' - 9

Simplifying and solving for y', we get:

y' = (4x - 4y - 9)/(4x - 16y)

Hence, dy/dx = (4x - 4y - 9)/(4x - 16y).

At point P, the tangent to the curve is parallel to the y-axis.

This means that dx/dy = 0 at P.

We can find the coordinates of P by solving the following equations simultaneously

4xy = 2(x² + 4y²) - 9x

dx/dy = 0

From 4xy = 2(x² + 4y²) - 9x, we have:

4xy + 9x = 2(x² + 4y²)

Dividing both sides by x², we get:

4y/x + 9/x = 2 + 4y²/x²

Since dx/dy = 0, we have:

dy/dx = 0

Using the formula for dy/dx that we derived in part (a), we get:

(4x - 4y - 9)/(4x - 16y) = 0

Solving for y, we get:

y = (4x - 9)/4

Substituting this into 4xy = 2(x² + 4y²) - 9x, we get:

4x * (4x - 9)/4 = 2(x² + 4[(4x - 9)/4]²) - 9x

Simplifying and solving for x, we get:

x = 9/2 and 3/2

Substituting these values of x into y = (4x - 9)/4, we get the coordinates of P:

y = 9/4 and y = -3/4

This means that

P(9/2, 9/4) and P(3/2, -3/4)

At point Q, the tangent to the curve is parallel to the x-axis.

This means that dy/dx = 0 at Q.

Using the formula for dy/dx that we derived in part (a), we get:

(4x - 4y - 9)/(4x - 16y) = 0

Solving for x, we get:

x = (4y + 9)/4

Substituting this into 4xy = 2(x² + 4y²) - 9x, we get:

4 * [(4y + 9)/4] * y = 2([(4y + 9)/4]² + 4y²) - 9 * (4y + 9)/4

Simplifying and solving for y, we get:

y = -3/4, 9/4

Substituting these values of y into x = (4y + 9)/4, we get the coordinates of Q:

x = 3/2 and x = 9/2

This means that

Q(3/2, -3/4) and Q(9/2, 9/4)

Using the distance formula, we can find the distance PQ:

PQ = √[(9/2 - 3/2)² + (9/4 + 3/4)²] or √[(3/2 - 9/2)² + (-3/4 - 9/4)²]

Simplifying, we

PQ = √18 or √18

So, we have

PQ = √18

This gives

k√5 = √18

So, we have

k = √18/√5

Evaluate

k = √3.6

√3.6 is not a rational number

Hence, the distance PQ cannot be expressed as k√5

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To simplify the expression \(\displaystyle\sf 5x-3(-5y+6x)+4y\), we can follow the order of operations, which involves simplifying the expressions within parentheses, applying the distributive property, and combining like terms.

Using \(\displaystyle\sf \) tags for formatting, the expression becomes:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

First, we simplify the expression within the parentheses:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

\(\displaystyle\sf 5x+15y-18x+4y\)

Next, we can combine the like terms:

\(\displaystyle\sf 5x-18x+15y+4y\)

\(\displaystyle\sf -13x+19y\)

Therefore, the simplified expression is \(\displaystyle\sf -13x+19y\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

To find the interest after 5 years

We will use the formula

WHERE

P is the principal

R is the rate

T is the time

S. I is the simple interest

From the question

P= $5,250.00

R= 3.75

T= 5

Substitute the values into the formula:

S.I =

=$984.375

Hence;

The interest earned after 5 years is $984.375

The current assets total of  Reese Corp. at December 31, 2014 is $5,555,000

What are current assets?

Current assets are short-term resources owned by Reese Corp. which are used in its daily operations such as the cash, accounts receivable as well inventory of goods and services.

In other words, in a bid to determine the current assets total, we sum up the cash, accounts receivable and the inventory of the company since there are no other current assets aside the aforementioned ones.

Current assets total=cash+ accounts receivable+ inventory

cash=$775,000

accounts receivable=$2,695,000

inventory=$2,085,000

current assets total=$775,000+$2,695,000+$2,085,000

current assets total=$5,555,000

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Answer:

180

Step-by-step explanation:

30 in 10 secs x6

180 in 60 secs.

Answer:

180

Step-by-step explanation:30 times 60 = 180

200 pounds need to collect to earn the $50.00. Divide the cost per pound from the total amount needed, \(\frac{50.00}{0.25}\)= 200 pounds.

The official money of the U.k. and its regions is the GBP, or British pound sterling. The Pound is the earliest currency that is still accepted as legal tender in the entire world. The GBP, represented by pound sign (£), has one of the greatest trade volumes worldwide.

The development of the pounds sterling -The Latin word "libra," which means balance and weight, is where the name "pound sterling" comes from. During the years, the pound banknotes underwent various revisions before being initially printed by the Bank of England and over 300 years ago.

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Answer:

Step-by-step explanation:

please simplify i dont understand this is a hundred not a hundred thousand

if you mean nearest hundred the answer is 900

The total number of votes cast is 480

Ownership of more than 50% of voting shares generally gives the right of control and consolidation. In special cases, control is possible without having to own more than 50% of voting stock.

Let x represent total number of votes.

step1:

We have been given that Joel got 50% of the votes, which was 48 votes more than Sean.

50% of total votes:50/100\(x\)=0.50\(x\)

Since Joel got 50% of total votes, so Sean got 40% of total votes that is

40/100\(x\)=0.40\(x\)

Since Joel got 38 votes more than Sean, so we can represent this information in an equation as:

0.50\(x\)=0.40\(x\)+48

0.50\(x\)-0.40\(x\)=0.40\(x\)-0.40\(x\)+48

0.10\(x\)=48

step2:

0.10\(x\)/.10=48/.10

\(x\)=480

Therefore, the total number of votes cast is 480

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Answer:

Step-by-step explanation:

Area of the trapezoid:

Area of trapizoid:-

\(\blue{A=\dfrac{1}{2}(b_1 +b_2)×h }\)

According to the question,

\(\bold{\dfrac{1}{2}×(4+15)×4 }\)

\(\bold{\dfrac{1}{2}×(19)×4 }\)

\(\bold{\dfrac{1}{\cancel{2}}×(19)×\cancel{4}}\)

\(\bold{19×2 ~m^2 }\)

\(\bold{ 38~m^2 }\)

The coordinate of the points on the graph will be (-2, -3),  (4, -1), and (-5, 2). Then the correct option is A.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is the m:n ratio, finding the mid-point of the line, etc.

The distance from the origin along the x-axis is known as abscissa. And the distance from the origin along the y-axis is known as ordinate.

From the graph, the location of the points will be given as,

(-2, -3),  (4, -1), (-5, 2)

The coordinate of the points on the graph will be (-2, -3),  (4, -1), and (-5, 2). Then the correct option is A.

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Answer:

Step-by-step explanation:

what is the mean of 10,16,14,12and 16?

Find the sum of the values by adding them all up.

Divide the sum by the number of values in the data set.

10 + 16 + 14 + 12 + 16 = 68

68 : 5 = 13.6

or

(10 + 16 + 14 + 12 + 16) : 5 = 13.6

Step-by-step explanation: