Situation:A9 gram sample of a substance that'sused for drug research has a k-value of0.1459.N-Noe-ktNo-initial mass (at time t = 0)N-mass at time tk= a positive constant that depends onthe substance itself and on the unitsused to measure timet-time, in daysFind the substance's half-life, in days.Round your answer to the nearest tenth.

Answer:2.65

Step-by-step explanation:Find the number in the hundredth place  

4

and look one place to the right for the rounding digit  

5

. Round up if this number is greater than or equal to  

5

and round down if it is less than  

5

.

2.65

Step-by-step explanation:

d_f=25-1=24

critical t value=tinv (0.05,24)=2.064

Margin of error=2.064×(3.8/sqrt(25))=1.86

99% confidence interval for mean

=22.5+/-1.86

=(20.64, 24.36)

The first step would take to solve the equation 1 1/2x 2 1/3 is to convert the mixed fraction to improper fraction

Fractions are defined as the expressions that involves the part of a whole number or the part of a variable.

There are different types of fractions in mathematics. These fractions are namely;

Also, in converting mixed fractions to improper fractions, we have to multiply the denominator of the fraction by the whole number, then, add the value of the product to the numerator.

We have that;

1 1/2x 2 1/3

convert to improper fractions

3/2 × 7/3

Multiply

7/2

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The distance between both houses is: 3839.75 ft

The Law of Cosines is simply a numerical formula that relates the side lengths and points of any triangle. It expresses that the square of any side of a triangle is equivalent to the number of squares of the other different sides short two times the result of those sides and the cosine of the point between them.

Numerically, the Law of Cosines can be communicated as:

c² = a² + b² - 2abcos(C),

where:

c is the length of the side inverse to the point C, and an and b are the lengths of the other different sides.

Using law of cosines, the length AB is:

AB = 50² + 100² - 2(50 * 100) * cos 30

AB = 3839.75 ft

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Answer: y

Step-by-step explanation:

For this, you would just add everything and then tag a y on the end.

3y-10y=-7y

-7y+y= -6y (y is the same thing as 1y)

-6y+7y= 1y which is just y

It is important to understand that you can only do this with like terms. So for example if you were asked to simplify:

5x+2x+3y+5y

the answer would be 7x+8y (you cannot combine x and y)

Hope this helps :)

Answer: y

Step-by-step explanation: I personally like to combine all the +y values first, which is equal to 11y. And then I minus 10y.

A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.

This version is also referred to as zero-intercept regression or homogeneous regression.

It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.

The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.

However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.

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The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

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Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

Answer:

2 students play both

Step-by-step explanation:n(u)=28

n(b)=7,n(b)=5,n(who play neither sport)=18

HERE,

n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)

28=7+5-n(BnB)+18

28=30-n(BnB)

n(BnB)=30-28

 =2 answer

Answer: 72+10x<82

Step-by-step explanation:

The solution to the inequality will be 72 + 10x < 82.

The relation between two expressions that are not equal employs a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than. Inequality is used to describe the conditions of greater or lesser amounts.

Given that yesterday's high temperature was 72 °F. Tomorrow's weather forecast includes a high temperature that is at most 10 °F warmer than yesterday's.

The inequality will be written as:-

72 + 10x < 82.

Therefore, the solution to the inequality will be 72 + 10x < 82.

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Answer:

dx/dt = 4 mph

Step-by-step explanation:

The two trains, with the station ( origin of the coordinates system) all, form a right triangle when we considered the distance between the two trains.

In that triangle:

distance between trains  D = 24 miles

leg (1 ) distance of train going west to origin  y = 15 miles

leg (2) distance of train going south x = ??

When d = 24 and y = 15

D² = y² + x²      ⇒   x² = D² - y²

x = √ (24)² - (15)²

x = √351

x = 18,73 miles

Now according to Pythagoras theorem

D² = x² + y²

Taking derivatives (respect to time) on both sides of the equation we get

2*D*dD/dt = 2*y*dy/dt  + 2*x*dx/dt

In this expression we are looking for dx/dt, all the rest of variables are known

2*24*25 = 2* 15*35  +  2*(18,73)* dx/dt

(1200 - 1050 )/37,46 = dx/dt

dx/dt = 4 mph

The quadrilateral which is a rectangle is a parallelogram for which a diagonal of the parallelogram creates two congruent triangles, indicating that the opposite sides of the quadrilateral, which are corresponding sides of the triangles are congruent.

A parallelogram is a quadrilateral that has two pairs of parallel opposite sides.

Elena can use the fact that all rectangles parallelograms to prove that a quadrilateral with 4 right angles must have congruent opposite sides as follows;

A quadrilateral with 4 right angles is a rectangle by definition of a rectangle.

A rectangle is a parallelogram, and the diagonal of the quadrilateral creates two congruent triangles, by Angle-Side-Angle, ASA congruency as follows;

The opposite sides of the quadrilateral are corresponding sides of the two congruent triangles and are therefore congruent by CPCTC.

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The height of the projectile after 4 seconds is 421.28 ft.

The projectile is in the air for 8.015 seconds.

The horizontal distance traveled by the projectile is 881.77 ft.

The maximum height of the projectile is 464.1 ft.

To solve this problem, we can use the kinematic equations of motion for a projectile.

Let's assume that the initial height of the projectile is zero.

What is the height of the projectile after 4 seconds:

We can use the equation:

\(y = yo + vot + 1/2at^2\)

where

y = height of the projectile

yo = initial height (zero in this case)

vo = initial vertical velocity = 220 sin(60°) = 190.53 ft/sec

a = acceleration due to gravity \(= -32.2 ft/sec^2\) ( negative since it acts downwards)

t = time = 4 sec

Plugging in the values, we get:

\(y = 0 + (190.53)(4) + 1/2(-32.2)(4)^2 = 421.28 ft\)

Therefore, the height of the projectile after 4 seconds is 421.28 ft.

Long is the projectile in the air:

The time of flight of a projectile can be calculated using the equation:

t = 2vo sinθ / g

where θ is the launch angle and g is the acceleration due to gravity.

Plugging in the values, we get:

t = 2(220 sin(60°)) / 32.2 = 8.015 sec

Therefore, the projectile is in the air for 8.015 seconds.

Horizontal distance traveled by the projectile:

The horizontal distance traveled by the projectile can be calculated using the equation:

\(x = xo + vot + 1/2at^2\)

where

x = horizontal distance traveled

xo = initial horizontal position (zero in this case)

vo = initial horizontal velocity = 220 cos(60°) = 110 ft/sec

a = acceleration due to gravity (zero in the horizontal direction)

t = time = 8.015 sec

Plugging in the values, we get:

\(x = 0 + (110)(8.015) + 1/2(0)(8.015)^2 = 881.77 ft\)

Therefore, the horizontal distance traveled by the projectile is 881.77 ft.

Maximum height of the projectile:

The maximum height of a projectile can be calculated using the equation:

\(ymax = yo + (vo^2 sin^2 \theta ) / 2g\)

Plugging in the values, we get:\(ymax = 0 + (190.53^2 sin^2(60\degree )) / (2)(32.2) = 464.1 ft\)

Therefore, the maximum height of the projectile is 464.1 ft.

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Answer:

f(x) = \(\frac{3}{2}\) x - 1

Step-by-step explanation:

a linear function has slope- intercept form

f(x) = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (- 2, - 4) ← 2 ordered pairs from the table

m = \(\frac{-4-5}{-2-4}\) = \(\frac{-9}{-6}\) = \(\frac{3}{2}\)

the point (0, - 1 ) from the table represents the y- intercept , so c = - 1

f(x) = \(\frac{3}{2}\) x - 1 ← represents the function

Answer:

n > p + 1 + 7k

Step-by-step explanation:

21k - 3n + 9 > 3p + 12

21k - 3n > 3p + 12 - 9

3n > 3p + 3

3n > 3p + 3 + 21k

n > (3p + 3 + 21k)/3

n > p + 1 + 7k

Answer:

180

Step-by-step explanation:

The area of a parallelogram is given by the formula A = b × h, where b is the base and h is the height. In this case, the base is 10 and the height is 18. Therefore, the area is:

A=10×18

A=180

The area of the parallelogram is 180 square units

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

Answer:

whats the problem

Step-by-step explanation:

Answer:

yup

Step-by-step explanation:

Parallel lines have the same slope

The form of the equation is y = m x + b

m is the slope

The given equation is

its slope = 3/5

The equation of the parallel line must have the same slope

So the answer is

Answer A

The product of the slopes of the perpendicular lines is -1

So if the slope of one of them is m, then the slope of the other is -1/m

we reciprocal the number and change the sign

since the slope of the line is 3/5

Reciprocal it to be 5/3 and change its sign, then

The slope of the perpendicular line is

So the equation of the perpendicular line is

Answer C

Answer:

we need the pic to answer it

Step-by-step explanation:

Answer:

I have no idea

Step-by-step explanation:

Answer:

x-2=3

Step-by-step explanation:

Answer:

0.01

Step-by-step explanation:

There is 2 zeros in 100 so:

0.01

The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

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3/4 is the answer for your question

Answer:

3/4

Step-by-step explanation:

the ratio is kinda like fractions

here are more:

3:5 - 3/5

4:9 - 4/9

Answer:

Look at explanation.

Step-by-step explanation:

The error is that the length of the polygon is 5 not 4. The perimeter should be 16 units not 14 units.

The perimeter of the given polygon is 16 units.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

From the given figure, length =5 units and width =3 units.

We know that, the perimeter of a rectangle is perimeter =2(length+width)

P= 2l+2w

= 2(5)+2(3)

= 10+6

= 16 units

Therefore, the perimeter of the polygon is 16 units.

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Σ

6

1

(

3

i

−

1

)

-1 is repeated 6 times

Σ

6

1

(

3

i

)

−

6

=

3

(

1

+

2

+

3

+

4

+

5

+

6

)

−

6

=

3

(

21

)

−

6

=

63

−

6

=

57

Step-by-step explanation:

SOLUTION:

Step 1:

In this question, we are given the following:

Thompson and Thompson is a steel bolt manufacturing company.

The current steel boats have a mean diameter of 140 mm and a variance of 36.

If a random sample of 50 steel bolts is selected.

What is the probability that the mean would be greater than 142.5 mm?

Round your answer to four decimal places.

Step 2:

The details of the solution are as follows:

CONCLUSION:

The final answer is:

Answer:5

Step-by-step explanation:

Answer:

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☃ \( \underline{ \underline{ \large{ \orange{ \tt{ S \: O \: L \: U \: T \: I \: O\: N}}} }}: \)

☼ \( \boxed{ \large{ \sf{Area \: of \: a \: parallelogram = base(b) \times height(h)}}}\)

~Plug the known values & then multiply!

⤑ \( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{ \tt{16 \: cm \times 4cm}}\)

⤑ \( \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \ \boxed{\boxed{\large{ \tt{64 \: {cm}^{2} }}} }\)

☥ \( \large{ \boxed{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \bold{ \red{ \tt{64 \: {cm}^{2} }}}}}}}}\)

♡ Hope I helped! ツ

Have a wonderful day / night !

✎ \( \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}\) ✔

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Answer:

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Given:

base[b]=16cm

height [h]=4cm

we have

Area of parallelogram=base ×height

=16×4=64cm²is your answer.