The table below shows an inequality and a number by which to divide both sides.

Inequality
Divide each
side by
Negative 125 greater-than-or-equal-to negative 135
Negative 5

What is the resulting true inequality?

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Answer: x=14°

Step-by-step explanation:

All angles of a triangle added together is 180°. So we can add the angles together.

7x-11+5x-2+2x-3=180           [combine like terms]

14x-16=180                             [add both sides by 16]

14x=196                                  [divide both sides by 14]

x=14

Therefore, x=14°.

The determinant of the inverse of matrix A, det(A⁻¹ ), is equal to the reciprocal of the determinant of matrix A, i.e., 1/det(A).

If A is an invertible matrix, then the determinant of A is non-zero, i.e., det(A) ≠ 0.

We know that the determinant of a matrix is related to its inverse by the following equation:

det(A) det(A⁻¹) = det(A A⁻¹) = det(I) = 1,

where I is the identity matrix.

Multiplying both sides of the equation by det(A⁻¹), we get:

det(A⁻¹) = 1/det(A)

Therefore, the determinant of the inverse of matrix A, det(A⁻¹), is equal to the reciprocal of the determinant of matrix A, i.e., 1/det(A).

Learn more about invertible matrix

brainly.com/question/31476459

#SPJ11

Answer:  4L + 12

Step-by-step explanation:

The perimeter is all the sides added together, which is

\((L) + (L + 6) + (L) + (L + 6) = \boxed{4L + 12}\).

The length and width of the patio will be 20 feet and 10 feet, respectively.

Assume L is the length and W is the width. Then the area is given as,

A = L × W

And the perimeter is given as,

P = 2(L + W)

Butchy is pouring cement for another deck. the border of the deck is 60 ft. also, the region is 200 sq. ft. Then the equation is given as,

2(L + W) = 60

L + W = 30         ...1

L × W = 200       ...2

From equations 1 and 2, then we have

L x (30 - L) = 200

L² - 30L + 200 = 0

L² - 20L - 10L + 200 = 0

(L - 20)(L - 10) = 0

L = 10, 20

Then the value of W will be

At L = 10,

W = 30 - 10

W = 20 feet

At L = 20

W = 30 - 20

W = 10 feet

The length and width of the patio will be 20 feet and 10 feet, respectively.

More about the area and perimeter of the rectangle link is given below.

https://brainly.com/question/16572231

#SPJ1

Answer:

cindy is 51

Step-by-step explanation:

70 divided by 2 is 45

45+ 6 is 51

The explanation of the steps that Marlena used to solve the given equation is as follows;

step1: 3x+5=-10 ( When X crosses the equal to sign it becomes a positive X.)

step 2: 3x= -15(When 5 crosses the equal to sign it becomes a negative 5)

step 3 : X = -5(when -15 is divided by 3)

The equation that was given = 2x+5 = -10-x

Bring the like terms together;

2x+X = -10-5

Note that when X crosses the equal to sign it becomes a positive X.

3x = -15

Divide through using 3 as a common factor;

X = -15/3 = -5

Learn more about factor here:

https://brainly.com/question/31016525

#SPJ1

Negative bases are not often used in logarithms because they produce complex results. For example, if the base is negative and the exponent is positive, the result will be a complex number.

Logarithms are generally used to solve equations or simplify complex problems. Having a negative base would complicate this process, as it would introduce complex numbers or even imaginary numbers into the equation. Consequently, it is not feasible to use negative bases with logarithms. Furthermore, if both the base and the exponent are negative, the result is undefined. This means that it is not possible to evaluate the expression. Therefore, for these reasons, it is usually not practical to use negative bases when working with logarithms.

Learn more about Logarithms: https://brainly.com/question/24160402

#SPJ4

Answer:

aogswoans skskdme skdbdnshsbemdhdksjdhskd

Answer:

B. False

Hope this helps!

The number of small boxes purchased = 4

and the number of large boxes purchased = 9

According to the given question, a contractor needs to buy nails to build a house.

The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 350 nails. The contractor bought a total of 13 boxes that have 3350 nails altogether.

Let x be the number of small boxes and y be the number of large boxes.

The contractor bought a total of 13 boxes that have 3350 nails altogether.

x + y = 13                     ...............(1)

50x + 350y = 3350              ..........(2)

We solve above system of equations.

From equation (1),

x = 13 - y             ...........(3)

Substitute x = 13- y in equation (2)

50(13 - y) + 350y = 3350    

650 - 50y + 350y = 3350

300y = 2700

y = 9

Substitute above value of y in equation (3),

x = 13 - 9

x = 4

Therefore, the number of small boxes purchased = 4

and the number of large boxes purchased = 9

learn more about system of equations here :

https://brainly.com/question/28784613

#SPJ1

To find out the exact height of a right triangle with an angle that measures 30 degrees adjacent to a base of 10, we will use the trigonometric ratio of tangent. The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side.

So, tan(30) = Opposite / 10To get the value of the opposite side, we multiply both sides by 10.tan(30) × 10 = Opposite Simplifying the left side, tan(30) = sin(30) / cos(30) = (1 / 2) / ( √3 / 2) = 1 / √3Thus,Opposite = 10 × (1 / √3) = 10√3 / 3 Hence, the exact height of the right triangle is 10√3 / 3. The exact height of the right triangle is 10√3 / 3. The trigonometric ratio of tangent is defined as the ratio of the length of the opposite side to the length of the adjacent side.

In a right triangle, the adjacent side is the side that forms the angle in question and the opposite side is the side that is opposite to the angle. The base of the right triangle is the adjacent side because it is the side that forms the angle of 30 degrees, which is adjacent to it. We have a base of 10 and an angle of 30 degrees, adjacent to it. We are required to find the exact height of the right triangle, which is the opposite side of the angle of 30 degrees. Using the tangent ratio of the angle of 30 degrees, we can find the exact height. To find the tangent of an angle of 30 degrees, we use the values of sine and cosine of the angle. The sine of an angle of 30 degrees is 1/2, and the cosine of an angle of 30 degrees is √3/2. Thus, the tangent of an angle of 30 degrees is equal to (1/2)/(√3/2) = 1/√3. This gives us the ratio of the opposite side to the adjacent side of the angle of 30 degrees. We know the adjacent side is 10, so we multiply it by the ratio we just calculated to get the opposite side. Thus, the exact height of the right triangle is 10 × (1/√3) = 10√3/3. Therefore, the answer is that the exact height of the right triangle is 10√3/3.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ11

We have already calculated P(C) above, so we can substitute that in to get:P(A | C) = 0.35 / (0.5 * (1 - 0.3) + 0.3 * (1 - 0.5))= 0.35 / 0.56 ≈ 0.625Therefore, given that the target was hit by exactly one shot, the probability that Laura hit the target is approximately 0.625.

Suppose A is the event that Laura hits the target and B is the event that Philip hits the target. The probability that Laura hits the target is P(A)

= 0.5

and the probability that Philip hits the target is P(B)

= 0.3

.Let C be the event that the target was hit by exactly one shot. This means either Laura hit the target but Philip missed or Philip hit the target but Laura missed. The probability that the target was hit by exactly one shot is given by:P(C)

= P(A) * (1 - P(B)) + P(B) * (1 - P(A))

This is the sum of the probabilities that Laura hits and Philip misses plus the probability that Philip hits and Laura misses, since these are the only two ways in which the target can be hit by exactly one shot.Given that the target was hit by exactly one shot, we want to find the probability that Laura hit the target. This is the conditional probability P(A | C), which is given by:

P(A | C)

= P(A ∩ C) / P(C)

This is the probability that both Laura hit the target and the target was hit by exactly one shot, divided by the probability that the target was hit by exactly one shot.We can calculate P(A ∩ C) using the multiplication rule:

P(A ∩ C)

= P(A) * (1 - P(B)) * P(C | A)

where P(C | A) is the probability that the target was hit by exactly one shot given that Laura hit the target. This is equal to 1, since if Laura hits the target then the target was hit by exactly one shot. Therefore:

P(A ∩ C)

= P(A) * (1 - P(B)) * 1

= 0.5 * (1 - 0.3)

= 0.35.

We can substitute this and P(C) into the formula for the conditional probability to get

:P(A | C)

= 0.35 / P(C)

.We have already calculated P(C) above, so we can substitute that in to get:

P(A | C)

= 0.35 / (0.5 * (1 - 0.3) + 0.3 * (1 - 0.5))

= 0.35 / 0.56 ≈ 0.625

Therefore, given that the target was hit by exactly one shot, the probability that Laura hit the target is approximately 0.625.

To know more about substitute visit:

https://brainly.com/question/29383142

#SPJ11

The total number of outcomes possible for this event is 42.

What is a random variable?

A random variable is a real-valued function that is defined across the sample space of a random experiment. In other words, the random variable's values match the results of the random experiment. There are two types of random variables: discrete and continuous.

Here, we have

A popular word game starts with 100 letter tiles in a bag.

On the first draw, a vowel is selected.

If the vowel is A, then there are 9 choices.

If the vowel is E, then there are 12 choices.

If the vowel is I, then there are 9 choices.

If the vowel is O, then there are 8 choices.

If the vowel is U, then there are 4 choices.

Total number of outcomes = 9 + 12 + 9 + 8 + 4 = 42

Hence, the total number of outcomes possible for this event is 42.

To learn more about the probability from the given link

https://brainly.com/question/24756209

#SPJ1

Approximately 9.4 seconds after diving, the sky diver's velocity will be 59 meters per second.  

The velocity function for a sky diver falling near the Earth's surface is given by the exponential function \(v(t) = 71 - 71e^(-0.19t)\), where t represents the time after diving measured in seconds.

To find the number of seconds after diving when the sky diver's velocity is 59 meters per second, we need to solve the equation:

\(59 = 71 - 71e^{(-0.19t)}\)

Let's solve it step by step:

Subtracting 71 from both sides:

\(-12 = -71e^{(-0.19t)}\)

Dividing both sides by -71:

\(e^{(-0.19t)} = \frac{12}{71}\)

Taking the natural logarithm (ln) of both sides to eliminate the exponential:

\(ln(e^{(-0.19t)}) = ln(\frac{12}{71})\\-0.19t = ln(\frac{12}{71})\)

Now, we can solve for t by dividing both sides by -0.19:

\(t =\frac{ln(\frac{12}{71})}{-0.19}\)

Using a calculator or a software, we find:

t ≈ 9.356 seconds (rounded to three decimal places)

Therefore, approximately 9.4 seconds after diving, the sky diver's velocity will be 59 meters per second.  

To learn more about the velocity function  from the given link

brainly.com/question/13992561

#SPJ4

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer:

desmos .com

Step-by-step explanation:

Answer: See the graph below

Step-by-step explanation:

Concept:

Formula for circle: (x - k )² + (y - h)² = r²

Center = (k, h)

Radius = r

**Disclaimer** variables used can be different

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

Solve:

Given: (x - 2)² + (y + 3)² = 16

Center = (2, -3)

Radius = √16 = 4

Hope this helps!! :)

Please let me know if you have any questions

The bicycle is moving at a speed of 14,356 meters per hour.

Here, we are given that the wheel of a bicycle is spinning at the rate of 150 revolutions per minute.

The diameter of the wheel is 20 inches

⇒ radius = 10 inches

⇒ circumference of the wheel = 2 × π × 10

= 20π

Thus, the wheel will cover a distance of (20π × 150) inches in a minute

= 300π

now, we know that 1 inch = 0.254 meters

⇒ 300π inches = 300π × 0.254

= 76.2π

Thus, the bicycle covers 76.2π meters in a minute

⇒ it'll cover 76.2π × 60 meters in an hour

= 4572π

= 4572 × 3.14

= 14,356.08

Thus, the bicycle is moving at a speed of 14,356 meters per hour.

Learn more about speed here-

https://brainly.com/question/26046491

#SPJ4

Probabilities for the standard normal distribution z. a. p(0 - 1.25) = P(Z < -1.25) = 0.1056.

Using a standard normal distribution table or a calculator, we can find:

P(0 - 1.25 < Z < 0) = P(Z < 0) - P(Z < -1.25) = 0.5 - 0.1056 = 0.3944

where Z is a standard normal random variable with mean 0 and standard deviation 1.

Therefore, p(0 - 1.25) = P(Z < -1.25) = 0.1056.

Learn more about distribution here

https://brainly.com/question/29368683

#SPJ11

Answer:

each pendant cost 2 dollars and 20 cents

Answer: 2.2

all u need is a calculator it is quite easy(no offense)

quick mafs

Drawing a 10 from the bag      unlikely

Rolling a number less than 5   Likely

Drawing a red marble             equally likely and unlikely

Here is the completed frequency table:

Number       frequency

1                       9

2                    12

3                    10

4                    8

5                    5

6                     6

Hiro's prediction is likely.

Probability determines the odds that a random event would happen. If the probability value is 0.5, it is equally likely and unlikely that the event would happen. If it is less than 0.5, it is unlikely that the event would happen. If it is greater than 0.5, it is likely that the event would happen.

Probability of drawing a 10 = number of 10s in the bag / total number in the bag = 1/100 = 0.01

It is unlikely that you would draw a 10.

Probability of rolling a number less than 5 = numbers that are less than 5 / total number of sides =  4/6 = 0.67

It is likely that a number less than 5 would be rolled.

Probability of drawing a red marble = total number of red marbles / total number of marbles = 8 / 16 = 0.5

It is equally likely and unlikely that a red marble would be picked

In order to determine the frequency, if the denominator of the relative frequency of the number is equal to 50, then the numerator is equal to the frequency. In the case where the denominator is less than 50, divide 50 by the number, multiply the quotient by the numerator in order to determine the frequency.

The frequency of 2 = (50 / 25) x 6 = 12

Number       frequency

1                       9

2                    (6 x 2) 12

3                    (1 x 10) 10

4                    (4 x 2) = 8

5                    (1 x 5) 5

6                     (3 x 2) 6

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

Answer:

x=38

Step-by-step explanation:

the angles of any triangle always equals 180

so to find x we set up an equation like this: (2x+8)+(2x-18)+X=180

calculate to find x

Combine like terms: (2x+2x+x)+(8+−18)=180

2x+2x+x=5x

8+(-18)=-10

now we have 5x+(-10)=180

Add 10 to 180, then divide 190 by 5.

180+10=190/5=38

x=38

to find the measures put 34 into the angle equations

2(38)-8=58

2(38)+18=84

x=38

The angle between a line of sight of the lighthouse and a horizontal plane is referred to as an angle of elevation.

The distance between points A and B is 2683.7 feet

The question is illustrated with the attached image.

From the image, we have:

\(\angle A = 10^o\)

\(\angle B = 3^o\)

\(AO = 1135\) ----- distance from the lighthouse.

First, we calculate the height of the lighthouse (TO).

This is calculated using the following tangent ratio

\(\tan(A) = \frac{TO}{AO}\)

So, we have:

\(\tan(10) = \frac{TO}{1135}\)

Solve for TO

\(TO = 1135 \times \tan(10)\)

\(TO = 200.13\)

Next, we calculate the distance from point B to the lighthouse (BO)

This is calculated using the following tangent ratio

\(\tan(B) = \frac{TO}{BO}\)

So, we have:

\(\tan(3) = \frac{200.13}{BO}\)

Solve for BO

\(BO = \frac{200.13}{\tan(3)}\)

\(BO = 3818.71\)

Distance AB is calculated by subtracting AO from BO.

\(AB = BO - AO\)

\(AB = 3818.71 - 1135\)

\(AB = 2683.71\)

\(AB = 2683.7\) ---- approximated

Hence, the distance between points A and B is 2683.7 feet

Read more about angles of elevation at:

https://brainly.com/question/9817377

Answer: 103/13

Step-by-step explanation:

7 * 13 = 91

91 + 12 = 103

Answer:

always first sum

Step-by-step explanation:

for example: 1+2/1-2=3

                     2+2/2-1=4

Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

Learn more on monthly payment here;

https://brainly.com/question/25599836

#SPJ1

Given, f′(x) = (x+7)(9−x)(x−14)To find the first relative extremum (from the left) for f(x), we need to find out the critical points for f(x) i.e., f′(x) = 0 or f′(x) is undefined.The critical points are x = -7, x = 9, and x = 14Now, we need to check the sign of f′(x) in each interval created by the critical points to determine the nature of the critical points.

Sign of f′(x) in interval (-∞, -7):For x < -7, f′(x) is negative. Therefore, f(x) is decreasing in this interval.Sign of f′(x) in interval (-7, 9):For -7 < x < 9, f′(x) is positive. Therefore, f(x) is increasing in this interval.Sign of f′(x) in interval (9, 14):For 9 < x < 14, f′(x) is negative. Therefore, f(x) is decreasing in this interval.Sign of f′(x) in interval (14, ∞):For x > 14, f′(x) is positive.

Therefore, f(x) is increasing in this interval. We can now conclude that the nature of the critical points:At x = -7, the function has a relative maximum.At x = 9, the function has a relative minimum.At x = 14, the function has a relative maximum. Thus, the first relative extremum (from the left) for f(x) occurs at x = -7 and the function has a relative maximum at this point. The second relative extremum (from the left) for f(x) occurs at x = 9 and the function has a relative minimum at this point. The third relative extremum (from the left) for f(x) occurs at x = 14 and the function has a relative maximum at this point.The first inflection point (from the left) for f(x) occurs at x = -1.25.The second inflection point (from the left) for f(x) occurs at x = 11.5.

Learn more about critical points:

https://brainly.com/question/30459381

#SPJ11

Answer: X = -2/5

Step-by-step explanation:

Answer:

This has already been answered correctly (x = -2/5), but I'll add the steps required to arrive at that conclusion.

Step-by-step explanation:

Solving 2(5x+3)=2 requires that we use the order of operations, or PEDMAS, in going through the steps.  PEDMAS is the acronym for Parentheses, Exponents, Division, Multiplication, Addition and Subtraction.  These are the order in which math operations should be done when solving equations.  This provides the "rules of the road" when interpreting how equations were meant to be read.

2(5x+3)=2    

1.  Parentheses:  First, we should complete whatever is inside a set of parentheses, in this case (5x+3).  There is nothing we can do with (5x+3) so go to the next step.

2. Exponents:  none here, so continue

3.  Division:  none here, so continue

4.  Multiplication:  We can do the term 2(5x+3) by multiplying the 2 times each of the values within the parentheses.

        2(5x+3) = 10x + 6

We now have:

         10x + 6 = 2

5.  Addition/Subtraction:  Subtract 6 from both sides:

         10x + 6 - 6 = 2 - 6

         10x = - 4

We've gone through PEDMAS once, so start over again since we are still looking for the value of x.

The only operation left is to divide both sides by 10:

     10x = -4

      10x/10 = -4/10

   x= - 4/10 or -2/5

In general, PEDMAS works quite well.  It defines how to interpret the manner in which equations are written.  If there is any remaining ambiguity, always work from left to right.  Solve the portion on the left first, then move right.  

Also, it is always good, and edifying, to try the solution to see if the equation works for that solution.  We can ask "Does a value of x=-(2/5)  give the answer of "2" when used in 2(5x+3)?

   2(5x+3)        

   2(5*(-2/5) + 3) =  2?                 for x = -(2/5)

    2(5*(-2/5) + 3) =  2?  

Use PEDMAS:

     2(5*(-0.4) + 3) =  2?

     2(-2 + 3) = 2?

      2(1)  = 2?                     YES, -(2/5) is correct

Answer:

Step-by-step explanation:

A coefficient is a number before the variable that shows how many groups of the variable there are. For example, 2b would be two groups of B.

The coefficients in this expression would be 4 (as in 4x) and 8 (as in 8y).