Which answers describe the shape below? Check all that apply.
9
7
A. Parallelogram
B. Rhombus
C. Rectangle
D. Quadrilateral
I E. Trapezoid
O F. Square

Answer: x = 5

Step-by-step explanation:

Use Pythagorean's Theorem

\(a^2+b^2=c^2\\12^2+x^2=13^2\\144+x^2=169\\x^2=25\\x=5\)

The function f is not differentiable at x=0 because the left and right-hand limits of the difference quotient do not exist at x=0.

To determine whether the function f(x)=9-|x| is differentiable at x=0, we need to evaluate the limit as h approaches 0 of the expression [f(0+h)-f(0)]/h.

For the function f(x)=9-|x|, when x is less than 0, the function becomes f(x) = 9+x, and when x is greater than or equal to 0, the function becomes f(x) = 9-x.

Considering the left-hand limit as h approaches 0, we have:

lim(h->0-) [f(0+h)-f(0)]/h = lim(h->0-) [(9-(0+h)) - 9]/h = lim(h->0-) [-h]/h = -1.

Considering the right-hand limit as h approaches 0, we have:

lim(h->0+) [f(0+h)-f(0)]/h = lim(h->0+) [(9-(0-h)) - 9]/h = lim(h->0+) [h]/h = 1.

Since the left-hand and right-hand limits of the difference quotient are not equal (-1 and 1, respectively), the limit as h approaches 0 does not exist. Therefore, the function is not differentiable at x=0.

The function f(x)=9-|x| has a sharp corner at x=0, where the graph changes direction abruptly. This non-smooth behavior contributes to the lack of differentiability at that point.

Learn more about differentiability and limit concepts.
brainly.com/question/31642697
#SPJ11

Hydrostatic weighing uses the statistic known as density to predict the percentage of body fat.

Hydrostatic weighing, also known as underwater weighing or densitometry, is a method used to estimate body composition by measuring the density of an individual's body.

The principle behind hydrostatic weighing is that fat tissue is less dense than lean tissue, such as muscle and bone.

During a hydrostatic weighing test, the individual is submerged in water while their body volume is measured. By comparing the weight on land with the weight in water, the density of the body can be calculated.

The measured density is then used in equations or regression models to estimate the percentage of body fat.

The statistic of density is crucial in this process because it represents the ratio of an individual's mass to their volume.

By accounting for the density of fat and lean tissue, hydrostatic weighing provides an estimate of body fat percentage based on the differences in density between these components.

It is worth noting that while hydrostatic weighing has been widely used as a reference method for body composition assessment, more modern techniques such as dual-energy X-ray absorptiometry (DXA) and bioelectrical impedance analysis (BIA) have gained popularity due to their convenience and accessibility.

To know more about hydrostatic weighing refer here:

https://brainly.com/question/31109691#

#SPJ11

Answer:

-29/1  or   29/-1

Step-by-step explanation:

It can also be a lot of other things if you scale it up properly such as:

-58/2

-87/3

-116/4

the weight of the substance after 28 years is 8 grams.

We have that the half life of a substance is defined as the time required for the substance to decrease by half

The formula for calculating the half - life of a material is given as;

\(N(t) = N0 (\frac{1}{2} )^\frac{t}{t^\frac{1}{2} }\)

Where

Substitute into the formula

N(t) = 128 × (0. 5) ^28/ 7

N (t) = 128 × ( 0. 5) ^ 4

N(t) = 128 × 0. 0625

N(t) = 8 grams

Thus, the weight of the substance after 28 years is 8 grams.

Learn more about half life here:

https://brainly.com/question/26148784

#SPJ1

Answer:

Real= 3 .   Imaginary = 3.6

Step-by-step explanation:

mark me brainliest plz

The rate of the reaction A+B⟶AB can be expressed as the rate constant, k, multiplied by the concentrations of reactants A and B. This is known as the rate equation, which is written as rate = k[A][B].

The rate equation for a reaction is used to determine the rate of reaction under specific conditions. The rate equation for the reaction A+B⟶AB is rate = k[A][B], where k is the rate constant and [A] and [B] are the concentrations of reactants A and B. The rate equation can be determined by performing experiments and analyzing the data. For example, in the table provided, three experiments were conducted to determine the rate of reaction. The concentrations of A and B were altered, and the time elapsed was measured. From this data, the rate of reaction could be determined by calculating the change in concentration of AB over the time elapsed. This rate could then be related to the concentrations of A and B, which results in the rate equation of rate = k[A][B].

[A] = 0.1M, [B] = 0.1M, and ΔtΔ[AB]​∣t=0​ = 2×10−4 mol L−1sec−1.

2×10−4 mol L−1sec−1/2×10−4 s = 1 mol L−1sec−1

rate = k[A][B].

Learn more about equation here

https://brainly.com/question/10413253

#SPJ4

The expression that gives the population of the species T years after the start is \(P(T) = 100 \cdot 2^{\frac{T}{9}}\)

What is an algebraic expression?

An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. Algebraic expressions are used to represent quantities or values that can vary, depending on the values assigned to the variables in the expression. Algebraic expressions can be simple or complex, and they can have one or more variables.

If the population of a species doubles every nine years, then the growth rate is exponential with a base of 2, since each generation is twice as large as the previous one.

So, if the initial population is 100, then after T years, the population would be:

\(P(T) = 100 \cdot 2^{\frac{T}{9}}\)

Therefore, the expression that gives the population of the species T years after the start is:

\(P(T) = 100 \cdot 2^{\frac{T}{9}}\)

To know more about algebraic expressions visit:

brainly.com/question/17499155

#SPJ1

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression. To do this, we need to assign a variable to the unknown number and then use multiplication and subtraction to represent the given information.

Let x be the unknown number. The product of three and x is 3x. Twelve less than 3x is 3x - 12. Therefore, the algebraic expression for "twelve less than the product of three and a number" is 3x - 12. This expression represents a value that is 12 less than three times the number x.

For instance, if we know that a number is 7, we can use this expression to find the value of "twelve less than the product of three and 7."3x - 12 = 3(7) - 12= 21 - 12= 9Therefore, the value of "twelve less than the product of three and 7" is 9. We can also use this expression to write an equation and solve for x. For example, if we know that the value of "twelve less than the product of three and a number" is 33, we can write an equation:3x - 12 = 33Then, we can solve for x:3x = 33 + 123x = 45x = 15. Therefore, the unknown number is 15.

To summarize, the phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

Learn more about product from the given link

https://brainly.com/question/20451763

#SPJ11

The given function is f(x) = (4-x)/29. We need to find the x-values where f is not continuous and determine whether the discontinuities are removable or nonremovable.

For this function, there are no nonremovable discontinuities. The only type of discontinuity that could occur is a removable discontinuity. This occurs when a point is undefined, but the limit exists and is finite. In other words, the function can be made continuous by redefining it at that point.

To find any possible removable discontinuities, we need to find the values of x for which the denominator becomes zero, because division by zero is undefined. The denominator is always 29, which is never zero, so there are no values of x for which the denominator is zero. Therefore, there are no removable discontinuities.

In conclusion, the function f(x) = (4-x)/29 is continuous for all values of x, and there are no removable or nonremovable discontinuities.

To learn more about denominator, click here:

brainly.com/question/15007690

#SPJ11

The equation of the line that passes through the point (18,-3) with slope -1 is y = -x+15.

According to the question,

We have the following information:

The line passes through the point (18,-3) with slope -1.

We know that the following formula is used to find the equation of the line passing through a point with the slope which is denoted by m:

(y-y') = m(x-x')

In this case, we have the following values:

m = -1

x' = 18 and y' = -3

Putting these values in the above formula:

y-(-3) = -1(x-18)

y+3 = -x+18

Subtracting 3 from both sides of the equation:

y = -x+18-3

y = -x+15

Hence, the equation of the line that passes through the point (18,-3) with slope -1 is y = -x+15.

To know more about equation of the line here

https://brainly.com/question/14200719

#SPJ9

Answer:

The formula for the volume of a hemisphere is:

V = (2/3) * pi * r^3

where

V = 10,109.25 cubic millimeters

Solving for r:

r = [(3V) / (4pi)]^(1/3)

r = [(3 * 10,109.25) / (4 * pi)]^(1/3)

r = 16.9 mm (rounded to the nearest tenth)

Therefore, the radius of the hemisphere to the nearest tenth is 16.9 mm.

So, the answer is B-16.9mm.

The improper integral ∫(1/x)dx from Allah to x^2 either diverges or converges.

To determine whether the improper integral converges or diverges, we need to evaluate the integral ∫(1/x)dx from Allah to x^2. Let's analyze the integral.

The function 1/x is not defined at x = 0, so the interval of integration must avoid this point. Additionally, the function 1/x becomes arbitrarily large as x approaches 0 from the right side (positive values of x).

Therefore, we need to ensure that Allah is a positive value greater than 0 to avoid the singularity at x = 0.

Now, let's consider the integral itself. By taking the antiderivative of 1/x, we obtain ln|x|, where ln represents the natural logarithm. Applying the Fundamental Theorem of Calculus, the integral from Allah to x^2 becomes ln|x^2| - ln|Allah|.

To evaluate whether the integral converges, we examine the behavior of the function ln|x| as x approaches 0 and as x goes to infinity. As x approaches 0, ln|x| approaches negative infinity.

As x goes to infinity, ln|x| goes to positive infinity.

Therefore, since the difference ln|x^2| - ln|Allah| will be infinite in both cases, the integral diverges. Thus, the integral does not converge, and the answer is DIVERGES.

Learn more about improper integral:

https://brainly.com/question/31585559

#SPJ11

Answer:−

3c+2

Step-by-step explanation:

Answer:

−3c +2

Step-by-step explanation:

Combine Like Terms

Answer:

381 ft

Step-by-step explanation:

first get the area of the kitchen

22 x 18= 396 ft

now get the area of the island which is 3x 5= 15 ft

to know how much she would need to cover (not including the island), subtract 396 to 15

that would be 381 ft

Answer:

450,000

Step-by-step explanation:

Answer:

$24.

Step-by-step explanation:

Let's say Carlos has $c of money, and Mariame has $m of money.

c = 2.75m

c + m = 90

2.75m + m = 90

3.75m = 90

m = 24

c + 24 = 90

c = 66

So, Mariame has $24 and Carlos has $66.

Hope this helps!

Answer:

11. Another name for segment \(\overline {BD}\) is \(\overline {DB}\)

12. Another name for segment \(\overline {AC}\) is \(\overline {CA}\)

13. Another name for ray \(\underset{AE}{\rightarrow} {}\) is \(\underset{EC}{\rightarrow} {}\)

14. The rays that have E as endpoint are \(\underset{EA}{\rightarrow} {}\), \(\underset{EB}{\rightarrow} {}\), \(\underset{EC}{\rightarrow} {}\), and \(\underset{ED}{\rightarrow} {}\)

15. Two pairs of opposite rays are, \(\underset{EA}{\rightarrow} {}\), \(\underset{EC}{\rightarrow} {}\) and  \(\underset{EB}{\rightarrow} {}\), \(\underset{ED}{\rightarrow} {}\)

Step-by-step explanation:

The answer is

11. Another name for segment BD is DB

12. Another name for segment AC is CA

13. Another name for ray AE is EC

14. The rays that have E as an endpoint are EA, EB, EC, and ED

15. Two pairs of opposite rays are, EA, EC, and EB, ED.

Taken into consideration as a breadth less length by means of Euclid, strains shape the idea of Euclidean geometry. While two rays (part of an immediate line) intersect each other within the equal aircraft, they form an perspective. The point of intersection is referred to as a vertex.

Learn more about lines and angles here: https://brainly.com/question/25927269

#SPJ2

Therefore, the standard deviation of the data set is approximately 4.14.

The standard deviation is calculated by taking the square root of the variance, which is the sum of the squared deviations divided by the sample size minus 1.

So, first we need to calculate the variance:

variance = sum of squared deviations / (sample size - 1)

variance = 103 / (7 - 1)

variance = 17.17

Now we can find the standard deviation:

standard deviation = √(variance)

standard deviation = √(17.17)

standard deviation = 4.14 (rounded to two decimal places)

To know more about data set,

https://brainly.com/question/22210584

#SPJ11

Answer:

13.97

Step-by-step explanation:

First,you multiply 4.99 times 6 since he bought six binders which equals to 29.94

Since he had a coupon for 2 dollars off,you subtract 2.00 from 29.94 which equals to 27.94

Lastly,you divided 27.94 by 2 since Alfred's mom paid for half of the remaining cost,resulting in the answer of 13.97.

Hope this helps and good luck!

Answer:

(x−1)(6x2+1)

Step-by-step explanation:

x^3-6x^2+x-1

(x−1)(6x^2+1)

Answe: (

( − 1 ) ( 6 ^ 2 + 1 )

If Tina's score is in the 50th percentile and the grades were normally distributed, Tina's score on the exam is 78.

A percentile refers to the comparison score between a particular score and the scores of the rest of a group. It represents the percentage of scores that a specific score surpassed. For example, if the score of 75 points on a test is ranked in the 85th percentile, it implies that the score 75 is higher than 85% of the scores. The 50th percentile, which is also the median score implies that 50% of the score is below or above the average score in a normally distributed data. In the given situation, if the grades are normally distributed with a mean of 78, that implies that 50% of the scores are above 78 and 50% of the scores are below 78. The standard deviation in this case is irrelevant. As Tina’s score is at the 50th percentile, her score on the exam would be 78.

Learn more about Percentile:

https://brainly.com/question/2263719

#SPJ4

The total amount of rainwater that flows into the pipe during the time interval of 0 to 8 hours is 880 cubic feet.

R(0) = 20sin(0/35) = 0 cubic feet per hour

R(8) = 20sin(\(8^2\)/35) = 19.48 cubic feet per hour

D(0) = -0.04(\(0^3\)) + 0.4(\(0^2\)) + 0.96(0) = 0 cubic feet per hour

Total amount of water that flowed into the pipe during the 8-hour time interval:

= (R(8) - R(0)) - (D(8) - D(0))

= (19.48 - 0) - (104.32 - 0)

= -84.84 cubic feet

We can also calculate the rate at which water is draining out of the pipe by using the function D(t) = -0.04t3 + 0.4t2 + 0.96t cubic feet per hour. Integrating this function over the same time period yields a total of 360 cubic feet of water draining out of the pipe. Therefore, the total amount of rainwater that flows into the pipe during the time interval of 0 to 8 hours is 880 cubic feet .Therefore, 84.84 cubic feet of rainwater flow into the pipe during the 8-hour time interval 0 ≤ t ≤ 8.

Learn more about amount here

https://brainly.com/question/28970975

#SPJ4

Answer:

45, 60, 72

Step-by-step explanation:

use the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side

20 + x > 55  This tells us that the minimum value of the third side

x > 35           must be 36

20 + 55 > x   This tells us that the maximum value of the third side

75 > x            must be 74 or less

The third side must be greater than or equal to 36 and less than or equal to 74

1a. The -1500 rate of change means that the value decreases by $1,500 per year.

1b. The estimated value of the vehicle after 5 years is $17,500.

2. The answer is not reasonable as the rate of decline is car's value is not always constant.

1a. The rate of change of the car's value, -1,500, means that the Dodge Challenger's value decreases by $1,500 per year on average between 2 and 10 years of age.

1b. To interpolate the value of the vehicle when it is 5 years old, use the rate of change from part a, which is -1,500.

1: Determine the number of years between 2 and 5: 5 - 2 = 3 years

2: Multiply the rate of change by the number of years: -1,500 * 3 = -4,500

3: Add this value to the initial value at 2 years: $22,000 + (-4,500) = $17,500

The vehicle's estimated value when it is 5 years old is $17,500.

2. Answer is not Reasonable.

The assumptions the model has made include a constant rate of decline in the car's value, which may not be accurate in reality. Additionally, a car cannot have a negative value. The negative value of -$5,000 at 20 years suggests that the model is not suitable for predicting the car's value for such a long period.

Learn more about Rate of change:

https://brainly.com/question/8728504

#SPJ11

Charlotte makes 500 pounds per week

30 % of 500 she has to pay to the commission per week

if she made 1575 one week how much would she get?

1575 divided by 30%=472.5

472.5 rounded = 473

x=473 or 472.5

Charlotte would make $972.50 in a week in which she made $1575 in sales and  if Charlotte made x dollars in sales, she would make $500 + 0.3x in total earnings for the week.

percentage, a relative value indicating hundredth parts of any quantity.

To calculate how much Charlotte would make in a week in which she made $1575 in sales

we first need to calculate her commission:

Commission = 30% × $1575

= $472.50

Total earnings = Guaranteed salary + Commission

= $500 + $472.50

= $972.50

Therefore, Charlotte would make $972.50 in a week in which she made $1575 in sales.

To calculate how much Charlotte would make in a week if she made x dollars in sales, we can use the same method.

Her commission would be:

Commission = 30% ×x

And her total earnings would be:

Total earnings = Guaranteed salary + Commission

= $500 + 0.3x

So, if Charlotte made x dollars in sales, she would make $500 + 0.3x in total earnings for the week.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ2

Answer:

\(\dfrac 3{10}\)

Step-by-step explanation:

\(~~~~~~\dfrac 25 + x = \dfrac 7{10}\\\\\\\implies x = \dfrac 7{10} - \dfrac 25\\ \\\\\implies x = \dfrac 7{10} - \dfrac 4{10}\\\\\\\implies x = \dfrac{7-4}{10}\\\\\\\implies x = \dfrac 3{10}\)