what is the the área for 8m 15m 5m 11m 15m 5m

Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

The true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.

It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.

To get to the current positioning, a rotation might not be sufficient.

It could be required to include a fictitious translation known as the object's location (or position, or linear position).

Together, the position and orientation completely explain where the object is situated in space.

Therefore, the true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

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Answer:

Monthly income from my primary job: $2034.24

Fixed expenses per month: 30% of monthly income from primary job = 30% x $2034.24 = $610.27

Remaining income: $1423.97

Hourly income from secondary job: $9.5

Deductions are:

FICA - 7.65% of hourly income = 7.65% x $9.5 = $0.72675

Federal tax withholding = 11.5% x $9.5 = $0.10925

State tax withholding = 7.75% x $9.5 = $0.73625

Thus, the remaining income in hand would be $7.8445/hr

The amount he can earn in next 5 months: ($2034.24 x 5) + ($9.5 x 30 x 5) = $10171.2 + $1425 = 11592.2

=> $11592.2 is the amount he needs to save in next 10 months.

20% of primary income needs to be saved: 20% x $1423.97 = $284.794

In 10 months: $284.794 x 10 = $2847.94 (this is amount he will save from primary income)

Reamining amount to save: $11592.2 - $2847.94 = $8748.26 (this is the amount he'll save from secondary job)

$9.5 x 920 = $8740 (approx $8748.26)

Thus, it will have to work 920 hours to save that much.

The monthly payment required to pay off a debt of $5,675 in 12 months is  $532.24

To determine the monthly payment required to pay off a debt of $5,675 in 12 months, we need to consider the monthly compounding interest rate of 22.4%. Let's calculate the monthly payment using the correct formula:

P = A / ((1 - (1 + r)^(-n)) / r)

Where:

P = Monthly payment

A = Principal amount (debt)

r = Monthly interest rate (annual interest rate divided by 12 and converted to decimal)

n = Total number of payments (months)

In this case, the principal amount (A) is $5,675, the monthly interest rate (r) is 22.4% divided by 12, or approximately 0.0224/12 = 0.0018667, and the total number of payments (n) is 12.

Let's calculate the monthly payment:

P = 5675 / ((1 - (1 + 0.0018667)^(-12)) / 0.0018667)

P ≈ $532.24

Therefore, the correct answer is option 2: $532.24

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The product of 9 and the sum of a number and 1 is calculated as; 9 *(x + 1)

We want to find out the product of 9 and the sum of a number and 1.

Now, it is vital to know that when dealing with algebraic word problems we have to take proper note of the algebraic variables and the given mathematical operations.

Now, we are told that the product of 9 and the sum of a number and 1. Let the unknown number be x and as such we can say that the expression of the given algebraic statement is given as;

9 *(x + 1)

Thus we conclude that the product of 9 and the sum of a number and 1 is calculated as; 9 *(x + 1)

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Answer:

B

-2(0)²+24(0)-54

= -54

Answer:

I think its C

Step-by-step explanation:

y intercepts (0,-54)

The value of the equation (1 - x)/2x² + x²/(2x - 2) is 0 if x² + x - 1 = 0

From the question, the equation is given as

x² + x - 1 = 0

Make x² the subject of the above equation

So, we have the following equation

x²  = 1 - x

The equation to calculate is given as

(1 - x)/2x² + x²/(2x - 2) = ?

Substitute x²  = 1 - x

(1 - x)/2x² + x²/(2x - 2) = x²/2x² + x²/(2x - 2)

Evaluate the quotient

So, we have the following equation

(1 - x)/2x² + x²/(2x - 2) = 1/2 + x²/(2x - 2)

Factor out -2

(1 - x)/2x² + x²/(2x - 2) = 1/2 - x²/2(1 - x)

Substitute x²  = 1 - x

Factor out -2

(1 - x)/2x² + x²/(2x - 2) = 1/2 - x²/2x²

Evaluate the quotient

(1 - x)/2x² + x²/(2x - 2) = 1/2 - 1/2

Evaluate the difference

(1 - x)/2x² + x²/(2x - 2) = 0

Hence, the solution to the equation is 0

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The range of the function is determined as 1 ≤ M ≤ 6.5 kg.

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

Also we can defined a domain of a function as all the possible values that go into a function.

From the  graph the range of the function of the mass of the bucket is calculated as follows;

The minimum value of the mass of the bucket = 1

The maximum value of the mass of the bucket = 6.5 kg

The range of the function (mass, M of the bucket) = {1, 2, 3, 4, 5, 6.5 kg}

1 ≤ M ≤ 6.5 kg

Thus, the range of the function includes numbers ranging from 1 to 6.5 kg. That is  {1, 2, 3, 4, 5, 6.5 kg}.

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The simple interest on 1600 with a 6% interest rate for 2 years is $192.

The simple interest simply means the method that's used to calculate the interest that's charged on a loan or money given out.

In this situation, we want to calculate the simple interest on 1600 with a 6% interest rate for 2 years. This will be calculated thus:

Simple interest = Principal × Rate × Interest

Simple interest = $1600 × 6% × 2

Simple interest = $1600 × 0.06 × 2

Simple interest = $192

The interest is $192.

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Complete question

Calculate the simple interest on 1600 with a 6% interest rate for 2 years.

Answer:

\(P(x\le 4\ or x> 10) = \frac{4}{7}\) or \(P(x\le 4\ or x> 10) = 0.5714\)

Step-by-step explanation:

Given

\(x = \{1,2,3,4,5,6,7,8,9,10,11,12,13,14\}\)

Required

Determine \(P(x\le 4\ or x> 10)\)

Because the events are independent, the probability can be solved using:

\(P(A\ or\ B) = P(A) + P(B)\)

So, we have:

\(P(x\le 4\ or x> 10) = P(x \le 4) + P(x > 10)\)

When \(x \le 4\), we have: \(x = \{1,2,3,4\}\)

So:

\(P(x \le 4) = \frac{4}{14}\)

Also:

When \(x > 10\), we have: \(x = \{11,12,13,14\}\)

So:

\(P(x>10) =\frac{4}{14}\)

\(P(x\le 4\ or x> 10) = P(x \le 4) + P(x > 10)\) becomes

\(P(x\le 4\ or x> 10) = \frac{4}{14} + \frac{4}{14}\)

\(P(x\le 4\ or x> 10) = \frac{4+4}{14}\)

\(P(x\le 4\ or x> 10) = \frac{8}{14}\)

\(P(x\le 4\ or x> 10) = \frac{4}{7}\)

\(P(x\le 4\ or x> 10) = 0.5714\)

Answer:

22 (I think)

Step-by-step explanation:

The picture is a lil blurry so I'm not sure if I counted the squares right. But basically, you count the squares from one dot to the next. For example, the one on the top that goes in a horizontal line is 6 squares. As for the other two lines, you count from the dot you're starting at and count VERTICALLY until you reach the same line as the point of the triangle. Like with the left side, it starts at point -5, 4 and you'll count how many squares it takes until you reach the same y-axis line as the tip of the triangle. So you should get to -5, -4 for the left side which counts to 8 squares. Same for the other side, also being 8 squares. Then just add it up. 8+8+6=22.

Answer:

  D

Step-by-step explanation:

A table shows a proportional relationship if all of the y/x ratios are the same.

  A: 4/3 ≠ 10/6 . . . . not proportional

  B: 6/12 ≠ 12/14 . . . . not proportional

  C: 2/4 ≠ 20/20 . . . . not proportional

  D: 1/5 = 2/10 = ... = 5/25 . . . . proportional relationship

Answer:

D

Step-by-step explanation:

1*5=5

2*5=10

3*5=15

4*5=20

5*5=25

The area of the segment is 9( π-2) units²

The area of a figure is the number of unit squares that cover the surface of a closed figure.

A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.

Area of segment = area of sector - area of triangle

area of sector = 90/360 × πr²

= 1/4 × π × 36

= 9π

area of triangle = 1/2bh

= 1/2 × 6²

= 18

area of segment = 9π -18

= 9( π -2) units²

therefore the area of the segment is 9(π-2) units²

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Answer:

she ate about 2.5 fruit cups each day

Step-by-step explanation:

Answer:

A) p = 0.230139

B) p = 0 .00001

There is not enough evidence to show that fewer DVDs a month than high school students

Step-by-step explanation:

A) The correct hypothesis are;

Null hypothesis;H0: μ = 50

Alternative hypothesis;H1: μ ≠ 50

We are given;

Sample mean; x' = 49

Standard deviation; σ = 5

Sample size;n = 36

Formula for the test statistic is given by;

z = (x' - μ)/(σ/√n)

z = (49 - 50)/(5/√36)

z = -1.2

So, from online p-value calculator from z-values as attached, using z-score of -1.2, significance level of 0.05, two tailed, we have;

p = 0.230139

B) we are given ;

x = 5.80

μ = 6.5

n = 33

Standard deviation;σ = 0.6

Significance level = 0.05

Hypotheses are;

Null hypothesis;H0: μ = 6.5

Alternative hypothesis; μ < 6.5

So, formula for the test statistic again;

z = (x' - μ)/(σ/√n)

z = (5.8 - 6.5)/(0.6/√33)

z = -6.7

from online p-value calculator z-values as attached, using z-score of -6.7, significance level of 0.05, one tailed tailed, we have;

p = 0 .00001

This is less than the significance level of 0.05, thus we will reject the null hypothesis and conclude that there is no evidence to show that fewer DVDs a month than high school students

Answer:

6

Step-by-step explanation:

318 / 53  = 6

the remainder is 0

Where F_pivot is the magnitude of the force exerted on the pivot point.

What are perpendicular lines?

Perpendicular lines are lines that intersect at a right angle (90 degrees). In other words, if you draw a line perpendicular to another line, the two lines will form four right angles at the point where they intersect.

(a) The torque applied by the adult rider (on the left) can be calculated as the product of the force applied by the rider and the perpendicular distance from the pivot to the force. Let F_a be the force applied by the adult rider and let r_a be the perpendicular distance from the pivot to the force. Then, the torque applied by the adult rider is:

τ_a = F_a * r_a

The perpendicular distance r_a can be calculated using the Pythagorean theorem:

r_a = sqrt((L/2 - d)^2 + Xoffset^2)

Therefore, the torque applied by the adult rider is:

τ_a = F_a * sqrt((L/2 - d)^2 + Xoffset^2)

(b) Similarly, the torque applied by the child rider (on the right) can be calculated as:

τ_c = F_c * sqrt((L/2 + d)^2 + Xoffset^2)

where F_c is the force applied by the child rider and r_c is the perpendicular distance from the pivot to the force, which can be calculated using the Pythagorean theorem.

(c) The torque applied by the board can be calculated as the sum of the torques applied by the two riders:

τ_b = τ_a + τ_c

Substituting the expressions for τ_a and τ_c, we get:

τ_b = F_a * sqrt((L/2 - d)^2 + Xoffset^2) + F_c * sqrt((L/2 + d)^2 + Xoffset^2)

(d) To determine the distance d in terms of given quantities and variables, we can use the condition for static equilibrium, which requires that the sum of the torques about the pivot point is zero:

τ_a + τ_c = 0

Substituting the expressions for τ_a and τ_c and simplifying, we get:

F_a * (L/2 - d) = F_c * (L/2 + d)

Solving for d, we get:

d = (F_a/F_c - 1) * L/4

Substituting F_a = Mg and F_c = mg, where M is the mass of the adult rider, m is the mass of the child rider, and g is the acceleration due to gravity, we get:

d = (M/m - 1) * L/4

(e) The magnitude of the force exerted on the pivot point by the see-saw while in use can be calculated using the condition for static equilibrium, which requires that the sum of the forces in the vertical direction is zero:

F_a + F_c = Mg + mg

Substituting F_a = Mg and F_c = mg, we get:

F_pivot = Mg + mg

Therefore, where F_pivot is the magnitude of the force exerted on the pivot point.

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The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be  fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.

Here,

We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.

Assume that X sunglasses must be sοld tο break even.

Fixed cοst plus variable cοst equals tοtal cοst.

Selling price x Number οf units sοld equals tοtal revenue.

The tοtal revenue and entire expense are equal at the break-even pοint.

Thus, we can cοnstruct the equatiοn:

Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.

=>  $9.44 X = $748,374 + $2.19 X

=>  $9.44 X - $2.19 X = $748,374

=>  $7.25 X = $748,374

=>  X = $748,374 / $7.25

=>   X = 103,184

Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

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Answer:

9

Step-by-step explanation:

Step-by-step explanation:

|-9|=9

..

because inside | | numbers are always positive

Answer:

Step-by-step explanation:

(y^2)/1600-(x^2)/81=1. y21600−x281=1 y 2 1600 - x 2

Answer: y21600x281=1 y 2 1600 - x 2

Step-by-step explanation: for sure chfjjgffjfj ;)

The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

Answer:

5 ≤ L ≤ 35

Step-by-step explanation:

Let w represent the width of the rectangle.

The perimeter (P) of the rectangle is given by:

P = 2w + 2L

Where L is the length of the rectangle.

We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:

100 ≤ 2(30) + 2L ≤ 160

100 ≤ 90 + 2L ≤ 160

10 ≤ 2L ≤ 70

We can now divide both sides by 2 to solve for L:

5 ≤ L ≤ 35

Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is:  5 ≤ L ≤ 35

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

x = 66.74715005725

Step-by-step explanation:

First you bring over the added variable. 0.194185, and subtract it from 66. Then you divide your difference by 0.985897. This gives you 66.74715005725

The coordinates of the point P lying between AB is found as (7, -2/5).

For the given question;

The two end coordinates are;

(x₁, y₁) = (8, 0)

(x₂, y₂) = (3, -2)

The ratio of the division is;

AP/PB = 1/4

OR

m:n = 1:4

The Formula for finding the coordinates of P for internally crossing is;

x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Put the values;

x = (mx₂ + nx₁)/(m + n)

x = (1×3 + 4×8)/(1 + 4)

x = (3 + 32)/5

x = 7

Now for y coordinates.

y = (my₂ + ny₁)/(m + n)

y = (1×(-2) + 4×0)/(1 + 4)

y = -2/5

Thus, the coordinates of the point P lying between AB is found as (7, -2/5).

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Answer:

the value of x that makes the equation true is x = 3.5.

Step-by-step explanation:

To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.

Starting with the equation:

18x + 5 - 3 = 65

First, combine like terms:

18x + 2 = 65

Next, isolate the term with x by subtracting 2 from both sides:

18x = 65 - 2

18x = 63

Finally, divide both sides of the equation by 18 to solve for x:

x = 63 / 18

x = 3.5

Therefore, the value of x that makes the equation true is x = 3.5.

The answer is:

Steps & work :

First, I focus only on the left side.

Combine like terms:

\(\sf{18x+5-3=65}\)

\(\sf{18x+2=65}\)

Subtract 2 from each side:

\(\sf{18x=63}\)

Now, divide each side by 18:

\(\sf{x=\dfrac{63}{18}\)

Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:

\(\sf{x=\dfrac{7}{2}}\)

\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)