An animation shows a beetle crawling in a straight line from the point (0, 10) to the point (28, 84) in 2 seconds. write a pair of parametric equations to model the path of the beetle. which point represents the location of the beetle 5 seconds after starting? (38, 94) (70, 195) (80, 185) (184, 269)

Answer:

5x + 15

Step-by-step explanation:

Given

9x + 6 - 4x + 9 ← collect like terms

= (9x - 4x) + (6 + 9)

= 5x + 15

The probability that a student who has an A is a male is 60%.

To find the probability that a student who has an A is a male, we need to calculate the ratio of the number of male students with an A to the total number of students with an A.

Given that there are 19 students in total, and 6 of them are female, we can determine that there are 19 - 6 = 13 male students. Out of these male students, 7 do not have an A. Therefore, the number of male students with an A is 13 - 7 = 6.

Now, we know that there are 10 students in total who have an A. Therefore, the probability that a student with an A is a male can be calculated as the ratio of the number of male students with an A to the total number of students with an A:

Probability = Number of male students with an A / Total number of students with an A

Probability = 6 / 10

Probability = 0.6 or 60%

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A₁ , B ≠ - in span (41, 42) as A₁ = B doesn't hold. Therefore the correct option is A₁ , B ≠ - in span(41, 42).

Given: A₁ , B = - in span(41, 42) To check whether A₁ , B = - in span(41, 42) or not.

Algorithm: Let's check whether A₁ is a linear combination of 41 and 42 or not, if it is then A₁ is in span(41, 42).If A₁ is in span(41, 42), then A₁ can be written as A₁ = c₁ * 41 + c₂ * 42 where c₁ and c₂ are scalars.

Now, let's substitute the value of A₁ and B in the given equation.

B = - 2 * 2 + 5 * 2 - 4₁ - [²4] [33] [3 =A₂ = 7 - 3 * 58 + 7 = - 170

Thus A₁ = B doesn't hold. Hence A₁ , B ≠ - in span(41, 42).Hence, the correct option is A₁ , B ≠ - in span(41, 42).

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Answer:

A) The factors are 5 & 6

B) There are 3 terms

C) the coefficient is 4

Step-by-step explanation:

I hope this helps <3

Answer:

70. g NaCl

Step-by-step explanation:

For every one mole of a substance, there is a molar mass that coincides with the values of the periodic table. NaCl has a molar mass of 58.44g (Na+Cl). You then take this molar mass and multiple it by the number of moles asked (1.2) to find the grams present.

58.44g * 1.2mol = 70.128g

Then you would round to 2 sig figs to get 70. g of NaCl

Exact Form:

1/27

Decimal Form:

0.037 (with a line over 037)

The time taken to triple the principal investemet for an interest compounded semi-annually is approximately 267 months.

The formula accrued amount in a compounded interest is expressed as;

\(A = P( 1 + \frac{r}{n})^{(nt)}\)

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given that:

P = principal amount (initial investment) = $2000

A = final amount (triple the initial investment) = 3 × $2000 = $6000

r = interest rate per period = 5%

n = number of compounding periods per year n = 2

t = time in years = ?

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05

Plug the given values into the above formula and solve for time taken t.

\(A = P( 1 + \frac{r}{n})^{(nt)}\\\\t = \frac{In(\frac{A}{P}) }{n(In( 1 + \frac{r}{n}) } \\\\t = \frac{In(\frac{6000}{2000}) }{2(In( 1 + \frac{0.05}{2}) } \\\\t = 22.246\ years \\\\t = 267\ months\)

Therefore, the time taken is approximately 267 months.

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The chance that a randomly selected individual found to have a positive result actually has the disease is called the Positive Predictive Value (PPV). What is the chance that a randomly selected individual found to have a positive result actually has the disease?

The probability that a randomly chosen individual with a positive test result really has the disease is referred to as the Positive Predictive Value (PPV). It reflects how well the test can detect disease in those who have it. In statistics, the PPV is calculated as follows:

PPV = True Positives / (True Positives + False Positives) x 100

In addition, the PPV is influenced by a variety of factors, including the disease's prevalence, the sensitivity and specificity of the test, and the prevalence of the disease in the population.

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Answer: a

Step-by-step explanation:

Answer: 168.60.

Step-by-step explanation: I took the test and got a 100! Good luck and try your best...ilyyy :)

36% of the shape is shaded in the given figure.

For the given question.

The shape of the boxes with some shaded part is given.

The total number of small parts in the figure is 25.

The total of shaded parts is 9.

Let 'x' be the percentage of shaded region.

Then,

x% of 25 = 9

25x/100 = 9

x = 900/25

x = 36%

Thus, the shaded percentage is found as 36%.

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\(x^2 = 14^2 + 10^2 - 2(10)(14)\cos(44^{\circ}) \\ \\ x=\sqrt{14^2 + 10^2 - 2(10)(14)\cos(44^{\circ})} \\ \\ x\approx \boxed{9.73}\)

Answer:

little falls has more

Step-by-step explanation:

show your work: little falls total rainfall is 1 6/8 and riverside is 1 5/8

use that to explain :) your welcome

Answer:

  Riverside had the greatest rainfall total

Step-by-step explanation:

The total amount of rain in a city will be the sum of products of rain amount and days that got that amount. The city with the largest sum got the most rain. The difference in rainfall can be found by subtracting the lesser amount from the greater.

__

Total rainfall in Riverside was ...

  (1/8)×1 +(2/8)×3 +(3/8)×3 +(4/8)×1 +(5/8)×1

  = (1 +6 +9 +4 +5)/8 = 25/8 = 3 1/8 . . . . inches

__

Total rainfall in Little Falls was ...

  (1/8)×1 +(3/8)×1 +(4/8)×1 +(6/8)×2

  = (1 +3 +4 +12)/8 = 20/8 = 2 1/2 . . . . inches

__

Riverside had more rainfall, because 3 1/8 is more than 2 1/2.

__

You can "cancel" dots that are in the same place on each plot. Doing so leaves Riverside with 3 dots at 2/8, 2 dots at 3/8, and 1 dot at 5/8. The remaining dots on the Little Falls plot are the 2 dots at 6/8.

The 3 dots at 2/8 add up to 6/8, as do the 2 dots at 3/8 on the Riverside plot. These two 6/8 values cancel the two 6/8 dots on the Little Falls plot. That leaves one uncancelled dot at 5/8 on the Riverside plot, indicating more rain fell at Riverside.

Answer:

hey hope this helps

AB =

\( \sqrt{ {1}^{2} + {1}^{2} } \)

\( = \sqrt{2} \)

DE

\( = \sqrt{ {(3 - 5)}^{2} + {(1 + 1}^{2} } \\ = \sqrt{ {( - 2)}^{2} + {(2)}^{2} } \\ = \sqrt{4 + 4} \\ = \sqrt{8} \\ = 2 \sqrt{2} \)

So DE = 2 × AB

and since the new triangle formed is similar to the original one, their side ratio will be same for all sides.

scale factor = AB/DE

= 2

It's been reflected across the Y-axis

moved thru the translation of 3 units towards the right of positive x- axis

for this let's compare the location of points B and D

For both the y coordinate is same while the x coordinate of B is 0 and that of D is 3

so the triangle has been shifted by 3 units across the positive x axis

If an LP has an unbounded feasible region it must consist of a line segment

Linear programming: Linear programming, mathematical modeling technique in which a linear function is maximized or minimized when subjected to various constraints. This technique has been useful for guiding quantitative decisions in business planning, in industrial engineering, and—to a lesser extent—in the social and physical sciences.

If an LP has an unbounded feasible region it must consist of a line segment and at least one corner point must be an optimal solution if an optimal solution exists.

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Answer:

9(413)2= 7434 and 6(593)=3558

Step-by-step explanation:

Hope this helps

Answer:

  11, 13, 15

Step-by-step explanation:

Let x represent the middle of the three integers.

  (x -2) +x = (x +2) +9 . . . . the given relation

  2x -2 = x +11 . . . . simplify

  x = 13 . . . . . add 2-x

The integers are 11, 13, 15.

The 99% confidence limit will be option B which is (45, 55)

90% confidence limits for the population mean are (46,54)

mean = 46+54 / 2 = 50.

the margin of error E = 54-46/2 = 4

For 90% Confidence Z- Critical value is = 1.645

But the margin of error

E = ZS/√n

4=(1.645)S/√n

S/√n = 4 / 1.645

= 2.4316

For 95% confidence Z-critical value is 1.96

A 95% confidence interval is = mean ± E

(50 ± 1.96) S/√n = (50 ± 1.96)×2.4316

= 50+ 4.7660

= 45.2340, 54.7660

= (45, 55)

Hence the correct option is B which is (45, 55) as the 99% confidence limit.

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As angle OAB =40-degree, angle AOB is 100 degrees according to the properties of circle and triangle.

Some Properties of circle are distance from center of the circle to each point on the circumstances are equal. hence, OA=OB

Diameter is twice of radius.

The triangle having two equal side length is called isosceles triangle. In the figure, triangle OAB is an isosceles as OA=OB=radius

According to the criteria of isosceles triangle angle OAB =OBA =40°

hence, angle AOB= 180 degrees - (40°+40°) [angle sum of triangle =180°]

                  angle AOB= 100 degrees.

We get, AOB = 100 degrees

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Step-by-step explanation:

What's 11,000lb in tons

it 5.5 us tone

Answer: 2/9

Step-by-step explanation:

Simplify the expression.

The for the values of the variables x = 7 and y = 10, the given must be a parallelogram.

A quadrilateral having two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Also, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.

A parallelepiped is a three-dimensional shape with parallelogram-shaped faces. The base and height of the parallelogram determine its area.

For the given quadrilateral to be parallelogram the opposite sides need to be parallel and equal.

For the given quadrilateral we have:

2y - 16 = y - 6

2y - y = -6 + 16

y = 10

Also,

2x + 2 = y + 6

Substitute the value of y = 10:

2x + 2 = 10 + 6

2x = 16- 2

2x = 14

x = 7

Hence, the for the values of the variables x = 7 and y = 10, the given must be a parallelogram.

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To make a 54L antifreeze solution that is 31% alcohol, you need 36L of the 35% alcohol solution and 18L of the 23% alcohol solution.

To solve this problem, we can use the method of mixture problems.

Let x be the amount of the 35% alcohol solution needed, and y be the amount of the 23% alcohol solution needed to make 54L of a 31% alcohol solution.

We can set up two equations based on the amount of alcohol in each solution:

0.35x + 0.23y = 0.31(54)  (equation 1: amount of alcohol)
x + y = 54  (equation 2: amount of solution)

Simplifying equation 2 to y = 54 - x, we can substitute into equation 1:

0.35x + 0.23(54 - x) = 16.74

Simplifying and solving for x, we get:

0.12x + 12.42 = 16.74
0.12x = 4.32
x = 36

So we need 36L of the 35% alcohol solution, and 18L (54-36) of the 23% alcohol solution to make 54L of a 31% alcohol solution.

To solve this problem, we will set up two equations using the information given.

Let x represent the volume of the 35% alcohol solution and y represent the volume of the 23% alcohol solution.

1. The sum of the two volumes should equal 54L:

x + y = 54

2. The total alcohol in the final solution (54L) should be 31% alcohol:

0.35x + 0.23y = 0.31 * 54

Now we will solve the system of equations:

From equation 1:

y = 54 - x

Substitute this into equation 2:

0.35x + 0.23(54 - x) = 0.31 * 54

Expand and simplify the equation:

0.35x + 12.42 - 0.23x = 16.74

Combine the x terms:

0.12x = 4.32

Now, divide by 0.12 to find x:

x = 36

Now substitute x back into y = 54 - x:

y = 54 - 36

y = 18

So, to make a 54L antifreeze solution that is 31% alcohol, you need 36L of the 35% alcohol solution and 18L of the 23% alcohol solution.

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The population parameter will always be between lower and upper bounds of the confidence interval. - True, whereas sample statistic will always be between lower and upper bounds of the confidence interval - False

With a certain degree of certainty, the population parameter is anticipated to lie between the lower and higher limits of the confidence interval. The confidence interval, which gives an interval estimate of the unidentified population parameter, is created based on the sample data. The interval's level of confidence shows the amount of ambiguity we are prepared to accept when determining the actual population parameter.

The confidence interval's lower and upper limits may or may not be met by the sample statistic used to compute them. A single point estimate, the sample figure is susceptible to sampling error. On the other hand, based on the observed sample data and the selected degree of confidence, the confidence interval is a range of values that we can be fairly confident includes the true population parameter.

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The tip of the minute hand on a clock travels approximately 26.4 cm in 11 minutes if the minute hand is 23 cm long.

What is Circle?

A circle is a two-dimensional geometric shape that is defined as the set of all points in a plane that are a fixed distance away from a given point, called the center of the circle. This distance is known as the radius of the circle.

A circle can also be defined as the locus of a point that moves in a plane in such a way that its distance from a fixed point is constant. The constant distance is the radius of the circle.

The minute hand on a clock makes a full rotation in 60 minutes, which means it travels the circumference of a circle with a radius of 23 cm in 60 minutes. The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14.

Therefore, the circumference of the circle traced by the tip of the minute hand is:

C = 2πr = 2 × 3.14 × 23 cm ≈ 144.44 cm

To find out how far the minute hand travels in 11 minutes, we need to calculate what fraction of the circumference it covers in that time. Since 11 minutes is about 18.3% of an hour (60 minutes), the minute hand travels 18.3% of the circumference of the circle in that time:

Distance traveled = 0.183 × 144.44 cm ≈ 26.4 cm

Therefore, the tip of the minute hand on a clock travels approximately 26.4 cm in 11 minutes if the minute hand is 23 cm long.

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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.

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Answer:

0.0228

Step-by-step explanation:

Let us assume that the mean (μ) = 2 and the standard deviation (σ) = 0.5

Z score is a standard score used to measure the number of standard deviations by which the raw score (x) is above or below the mean. It is given by the equation:

\(z=\frac{x-\mu}{\sigma}\)

For x > 3

\(z=\frac{x-\mu}{\sigma} =\frac{3-2}{0.5}=2\)

From the normal distribution table, P(x > 3) = P(z > 2) = 1 -  P(z < 2) = 1 - 0.9772 = 0.0228

Answer:

x = 4

Step-by-step explanation:

-7x - 8 = -10x + 4

-7x - 8 + 8 = -10x + 4 + 8

-7x = -10x + 12

-7x + 10x = -10x + 12 + 10x

3x = 12

\(\frac{3x}{3}\) = \(\frac{12}{3}\)

x = 4

Answer:

Step-by-step explanation:

The given quadratic must be rewritten in standard form before anything else is done:  -2x^2 + 8x - 8 = 0.  The coefficients of the x terms are {-2, 8, -8}.

The discriminant b^2 - 4ac is therefore (8)^2 - 4(-2)(-8), or  64 -  64, or 0.

A zero discriminant points to two real, equal solutions.

Answer:

-8

Step-by-step explanation:

-4d=32

d=32/-4

d=-8