13 POINTS
A plan for a dog house has a scale of 4 inches 1 fool. The plan shows the
measurements of the dog house Noor as 16 inches by 10 inches. Which is the actual
area of the dog house floor to the nearest tenth inch?
40,0 square feet
53.3 square feet
10.0 square feet
13.3 square feet

Answer:

F is reduced by 31%

Step-by-step explanation:

F = 1/(d²)

now, we increase the distance by 20% (multiply by 1.2).

F new = 1/(1.2×d)² = 1/(1.44×d²) = (1/1.44) × (1/(d²)) =

= 1/1.44 × old F = 0.69 × old F

100 - 69 = 31%

Answer:

The answer is b

Step-by-step explanation:

X= 0 makes the exponential function greater than the quadratic function. Therefore, the correct option is option B.

The mathematical symbol for the exponent is \(e^{X}\). The word, unless specifically stated differently, generally relates to the positive-valued functional of something like a real variable, though it can be extended towards the complex numbers or adapted to other mathematical like matrices or Lie algebras.

The idea of exponentiation is where the exponential function got its start, although recent definitions allow for a rigorous extension to all real arguments, especially irrational values. X= 0 makes the exponential function greater than the quadratic function.

Therefore, the correct option is option B.

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Answer: 2=x

Step-by-step explanation: -x+3 = 2x + 1 , 2 = x

The area under the standard normal curve between z=â1.16 and z=â0.03 is 0.3663.

To find the area under the standard normal curve between z = -1.16 and z = -0.03, we will use the following steps:

1. Look up the z-values in the standard normal distribution table (or use a calculator or online tool that provides the corresponding probability values).
2. Subtract the probability value for z = -1.16 from the probability value for z = -0.03.
3. Round your answer to four decimal places.

Step 1: Look up the z-values in the standard normal distribution table.
- For z = -1.16, the corresponding probability value is 0.1230.
- For z = -0.03, the corresponding probability value is 0.4893.

Step 2: Subtract the probability values.
Area = P(-0.03) - P(-1.16) = 0.4893 - 0.1230

Step 3: Round the answer to four decimal places.
Area = 0.3663

So, the area under the standard normal curve between z = -1.16 and z = -0.03 is approximately 0.3663.

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Answer:

15.5

Step-by-step explanation: I know because I calculated it praporly if you say I am wrong then most likely your wrong

Answer:

80

Step-by-step explanation:

Answer:

80 dollars a day

Step-by-step explanation:

400 divided by 5

= 80

hope this helps

So, the area bounded by the two curves and the x-axis is 65/6144.

First, we need to find the intersection point of the two curves:

Setting -x^5 equal to √x + 1, we get x = 1/4

So, the integral to find the area is:

∫(1/4)^2 0 [(√x + 1) - (-x^5)] dx

= ∫(1/4)^2 0 (√x + x^5) dx

= [2/3 x^(3/2) + 1/6 x^6] from 0 to 1/4

= (2/3 (1/4)^(3/2) + 1/6 (1/4)^6) - 0

= 1/96 + 1/6144

= 65/6144

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Answer:

C

Step-by-step explanation:

By my math that should is definitely correct. your welcome

The solution set for the system of equations represented by the graph of 4\(x^2\) - 3x + 6 = 2\(x^4\) - 9\(x^3\) + 2x can be determined by finding the x-coordinates of the intersection points on the graph.

The x-coordinates of the intersection points represent the values of x for which the two equations intersect and satisfy the system. These points indicate the common solutions to both equations.

To find the x-coordinates of the intersection points, we need to identify the points on the graph where the two equations intersect.

These points correspond to the values of x at which the two equations are equal.

By solving the given equation, we can determine the x-values that satisfy the equation and represent the intersection points.

Once we have the x-coordinates of the intersection points, we can further analyze the corresponding y-values to determine other properties of the solution set, such as the y-intercepts or y-coordinates of the intersection points.

However, since the specific equation for the y-coordinate is not given in the question, we cannot determine the y-intercepts or y-coordinates of the intersection points without further information.

In summary, to find the solution set for the system of equations represented by the graph, we need to determine the x-coordinates of the intersection points on the graph. These x-coordinates represent the solutions to the system.

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The value of the expression is,

⇒ \(b^{- 4/5}\)

We have to given that;

The expression is,

⇒ \(\frac{b^{1/5} }{b}\)

Now, We can simplify the expression as;

⇒ \(\frac{b^{1/5} }{b}\)

⇒ \(b^{\frac{1}{5}- 1 }\)

⇒ \(b^{- 4/5}\)

Thus, The value of the expression is,

⇒ \(b^{- 4/5}\)

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Answer:

90

Step-by-step explanation:

90

Answer:

34

Step-by-step explanation:

x-y

Answer:

Step-by-step explanation:

Rewrite this quadratic in standard form:  3x^2 + 7x - 1.

The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or

7^2 - 4(3)(-1), or 49 + 12, or 61.  Because the discriminant is positive, this quadratic has two real, unequal roots

Answer: 8575/2

Step-by-step explanation:

The cost of admission for 13 people is 260 dollars.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

An amusement park charges an admission fee of 20 dollars for each person.

Let C be the cost (in dollars) of admission for P people.

Then, Cost for P people = 20 P dollars

C = 20 P

and For P = 13

The cost of admission for 13 people = 13 x 20

                                                      = 260 dollars.

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Seraphina's speed has increased by a factor of around 23% compared to the first hour.

What Is a Change in Percentage?

The ratio of the difference in the amount to its starting value multiplied by 100 is known as the percentage change. When a number's final value is determined by increasing or decreasing a percentage of its starting value, the percentage change of that quantity will always change.

How can you determine the percentage to the closest tenth?

Rounding to the closest tenth entails adding one integer after the decimal point. The number in the thousandths place, or the second number from the right of the decimal, must be considered while rounding. If the amount is five or more, we add one percent to the number in the tenth position.

Percent Change Formula = \(\frac{ (Final value -Initial value)}{ (Initial value)}\)× 100

Percent Change               = \(\frac{(74-60)}{60}\)× 100

…                                     = \(\frac{14}{60}\) × 100

...                                     ≈ 0.23333 × 100

Percent Change             ≈ 23.33%

The pace of Seraphina increased by around 23% in the second hour compared to the first.

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The number of new cases of a disorder in a population that emerge in a particular time interval is called the incidence.

Incidence refers to the rate at which a new event occurs in a population. Incidence takes into account the variable time period during which a disease-free individual becomes at risk of spreading the disease.

In incident calculations, the quantifier is the number of events that have occurred in a given time. Then the quantifier of the denominator is the population that is at risk of experiencing the event during this period.

Simply put, incidence refers to new cases and is used to determine the etiology of the disease. While prevalence is more widely used to refer to health status in certain populations.

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The trigonometric expression \(\left(\dfrac{tan( x)}{1+sec( x)} +\dfrac{1+sec( x)}{tan( x)}\right)\) can be simplified to prove that it equals 2·csc(x), by plugging in \(\left(tan(x) = \dfrac{sin(x)}{cos(x)}\right)\),

\(\left(sec(x) = \dfrac{1}{cos(x)}\right)\)  and \(\left(csc(x) = \dfrac{1}{sin(x)}\right)\) to give the following

trigonometric identity;

Trigonometric identities are equations of trig functions which are valid for all values of the input variable at which the expressions on both sides of the equality are defined.

The trigonometric expression in the question is simplified as follows;

\(\dfrac{tan( x)}{1+sec( x)} +\dfrac{1+sec( x)}{tan( x)} = \dfrac{tan( x)}{1+\dfrac{1}{cos(x)} } +\dfrac{1+\dfrac{1}{cos(x)}}{tan( x)}\)

\(\dfrac{tan( x)}{1+\dfrac{1}{cos(x)} } +\dfrac{1+\dfrac{1}{cos(x)}}{tan( x)} = \dfrac{cos(x)\times tan( x)}{cos(x)+1} } +\dfrac{cos(x)+1}{cos(x)\times tan( x)}}\)

\(\dfrac{cos(x)\times tan( x)}{cos(x)+1} } +\dfrac{cos(x)+1}{cos(x)\times tan( x)}} = \dfrac{sin(x)}{cos(x)+1} } +\dfrac{cos(x)+1}{sin( x)}}\)

\(\dfrac{sin(x)}{cos(x)+1} } +\dfrac{cos(x)+1}{sin( x)}} = \dfrac{sin^2(x)+(cos(x)+1)^2}{sin( x)\cdot (cos(x)+1)} }\)

\(\dfrac{sin^2(x)+(cos(x)+1)^2}{sin( x)\cdot (cos(x)+1)} }=\dfrac{sin^2(x)+cos^2(x)+2\cdot cos(x)+1}{sin( x)\cdot (cos(x)+1)}\)

\(\dfrac{2\cdot cos(x)+2}{sin( x)\cdot (cos(x)+1)} =\dfrac{2\cdot (cos(x)+1)}{sin( x)\cdot (cos(x)+1)} = \dfrac{2}{sin( x)}\)

\(\dfrac{2}{sin( x)} = 2\cdot csc(x)\)

\(\therefore \dfrac{tan( x)}{1+sec( x)} +\dfrac{1+sec( x)}{tan( x)} =2\cdot csc(x)\)

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Yes, that's correct. In the slope-intercept form, the equation of a line is given as y = mx + b where m is the slope of the line.

The variable "m" represents the slope of the line, which is a measure of how steep the line is. It is calculated as the ratio of the change in the y-coordinate to the change in the x-coordinate, also known as the rise over the run.

A line with a positive slope will rise as it moves to the right, while a line with a negative slope will fall as it moves to the right. A line with a slope of zero is a horizontal line and one with an infinite slope is a vertical line.

The variable "b" is the y-intercept, which is the point where the line crosses the y-axis. It is the value of y when x = 0.

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8/25 is the probability that more than 8 of them are strikes.

Lets simplify the problem,

We are given that a softball pitcher has a 0.507 probability of throwing a strike for each pitch. Also, the softball pitcher throws 15 pitches.

The above situation can be represented through Binomial distribution;

P(X = r) = 0,1,2,3,,.....

where, n = number of trials (samples) taken = 15 pitches

           r = number of success = more than 8

          p = probability of success which in our question is probability of    

                Throwing a strike for each pitch = 0.507

LET X = Number of strikes

So, it means X ~ n = 15, p = 0.507

So, Probability that more than 8 of them are strikes = P(X > 8)

P(X > 8) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

After putting the values in it we get,

P = 0.323

P= 8/25 approx

8/25 is the probability that more than 8 of them are strikes.

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The results for the given function are as follows:

1. p(x) = 14(x + 7)² + 1, The direction is upward by 1 unit.

2. q(x) = –5(x + 10)² – 1, The direction is downward by 1 unit.

3. s(x) = –(x – 1)² + 0.5, The direction is upward by 0.5 unit.

4. g(x) = 2x² + 10x – 35 = (x+5/2)² - 23.75, The direction is downward by 23.75 unit.

5. t(x) = –2x² – 4x – 3 = -(x + 1)² - 0.5, The direction is downward by 0.5 unit.

What is the function?

In mathematics, the function is an expression or rule, or law which defines the relationship between dependent and independent variable. Functions are ubiquitous  and are essential for designing physical relationships.

According to the question, the given function expression as well as transformation results are as follows:

p(x) = 14(x + 7)² + 1, The direction is upward by 1 unit.

q(x) = –5(x + 10)² – 1, The direction is downward by 1 unit.

s(x) = –(x – 1)² + 0.5, The direction is upward by 0.5 unit.

g(x) = 2x² + 10x – 35 = (x+5/2)² - 23.75, The direction is downward by 23.75 unit.

t(x) = –2x² – 4x – 3 = -(x + 1)² - 0.5, The direction is downward by 0.5 unit.

By using property of the function which states that if a constant value is added to the function it will go upward, similarly, If we subtract a constant then it will go downward.

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Answer:

$2,854.2

Step-by-step explanation:

For Sebastian

It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month.

1 year = 12 months

10 years = x

Cross Multiply

x = 10 × 12 = 120 months

He pays $296.66 monthly

Hence, the total amount he paid in 10 years =

$296.66 × 120

= $35,599.2

The loan he took was $30,000.

Hence, the interest Sebastian paid on his loan = $35,599.2 - $30,000

= $5,599.2

For Jana

Jana paid off a loan for the same

amount at the same interest rate in 5 years by paying $545.75 per month.

1 year = 12 months

5 years = x

Cross Multiply

x = 10 × 5 = 60 months

He pays $545.75 monthly

Hence, the total amount he paid in 5 years =

$545.75 × 60

= $32,745

The loan she took was $30,000.

Hence, the interest Sebastian paid on his loan = $32,745 - $30,000

= $2,745

How much more did Sebastian pay in interest than Jana?

This is calculated as:

The interest Sebastian paid - The Interest Jana paid

= $5,599.2 - $2,745

= $2,854.2

Therefore, Sebastian paid $2,854.2 more than Jana

The statement "The t-distribution approaches the standard normal distribution when the number of degrees of freedom increases" is True.

The t-distribution approaches the standard normal distribution when the number of degrees of freedom (df) increases.

A t-distribution with a large number of degrees of freedom is similar to a standard normal distribution.

As the number of degrees of freedom increases, the distribution of t gets narrower and taller, and the distribution of Z becomes wider and flatter.

This is due to the fact that the t-distribution becomes closer to the normal distribution as the sample size grows.

When n, the sample size, is greater than or equal to 30, the t-distribution is approximately the same as the normal distribution.

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Answer:

9

Step-by-step explanation:

since you replace the p with 2 the 6 and 2 are close to each other so that means you multipli so 6x2=12-3=9

Answer:

Step-by-step explanation:

the anser is D

The number of burger sam bought = x

Let the number of burgers for mike be = y

the equation for the total number of burgers will be

Mike brought 5 more than 2 times as many burgers as sam will be represented as

By substituting Eqn 2 in Eqn 1 we will have

Therefore,

The value of x= 15

To calculate the number of burgers mike brought to the BBQ =y,

We will substitute the value of x in (Eqn 1) above

When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).

To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.

In this we ca easily find the remainder.

Now we firstly find the value of x;

(x+1) = 0

Subtract 1 on both side we get;

x= −1

Now put x= -1 in the expression x^3+2x^2+x+1.

x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1

x^3+2x^2+x+1 = −1+2−1+1

x^3+2x^2+x+1 = 1

Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

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The right question is:

What is remainder when x^3+2x^2+x+1 is divided by (x+1)?