about how many times does a cow's heart beat in 2 minutes

The fraction of the original surface area to the new surface area is 1/100.

The scale factor is the size by which the shape is enlarged or reduced. It is used to increase the size of shapes like circles, triangles, squares, rectangles, etc.

Since the ratio of the new side to original length is 1/10.

Thus, the fraction of the original surface area to the new surface area will be the square of the ratio of the length. That is:

fraction of length = new length/ original = 1/10

fraction of area = (1/10)² = 1/100

fraction of area = new area/original area

1/100 = new area/original area

new area = 1/100 * original area

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Answer:

23

UVW congruent to WFG

and

24

FHG congruent to LMN

Answer:

23 ) UVW is congruent to WGF

24 ) FHG is congruent to LMN

The concentration of the type of antibiotic after 4 hours is; 11.04 parts per million

We are told that the equation that models the concentration in parts per million of a type of antibiotic in a human's bloodstream after h hours is;

A(h) = -0.06h² + 2h + 4

where h is the time in number of hours after which the concentration is recorded.

Now, we want to find the concentration after 4 hours and as such we will input 4 for h in the equation to get;

A(4) = -0.06(4²) + 2(4) + 4

A(4) = -0.96 + 12

A(4) = 11.04 parts per million

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Answer:

21)  x = 22.9,  y = 38.4

22)  x = 14.0,  y = 98.0

Step-by-step explanation:

As the interior angles of a triangle sum to 180°, the measure of the third angle of the given triangle is 100°.

\(\implies 180^{\circ}-52^{\circ}-28^{\circ}=100^{\circ}\)

As we know all interior angles and the length of one side of the triangle, we can use the Law of Sines to find the the values of x and y.

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines (sides)} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

From inspection of the given triangle:

Substitute these values into the Law of Sines formula:

\(\dfrac{x}{\sin 28^{\circ}}=\dfrac{y}{\sin 52^{\circ}}=\dfrac{48}{\sin 100^{\circ}}\)

Solve for x:

\(\implies \dfrac{x}{\sin 28^{\circ}}=\dfrac{48}{\sin 100^{\circ}}\)

\(\implies x=\dfrac{48\sin 28^{\circ}}{\sin 100^{\circ}}\)

\(\implies x=22.882268...\)

\(\implies x=22.9\; \sf (nearest\;tenth)\)

Solve for y:

\(\implies \dfrac{y}{\sin 52^{\circ}}=\dfrac{48}{\sin 100^{\circ}}\)

\(\implies y=\dfrac{48\sin 52^{\circ}}{\sin 100^{\circ}}\)

\(\implies y=38.408020...\)

\(\implies y=38.4\; \sf(nearest\;tenth)\)

Therefore, the values of x and y (rounded to the nearest tenth) are:

\(\hrulefill\)

As we know the lengths of two sides of the triangle and their included angle, we can use the Cosine Rule to find the measure of side x.

\(\boxed{\begin{minipage}{6 cm}\underline{Cosine Rule} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)

From inspection of the given triangle:

Substitute these values into the Cosine Rule and solve for x:

\(\implies x^2=11^2+19^2-2(11)(19)\cos 47^{\circ}\)

\(\implies x^2=482-418\cos 47^{\circ}\)

\(\implies x=\sqrt{482-418\cos 47^{\circ}}\)

\(\implies x=14.0329856...\)

\(\implies x=14.0\; \sf (nearest\;tenth)\)

Now use the Law of Sines to calculate angle y.

As angle y is obtuse, and the sine of an obtuse angle is the same as the sine of its supplement, then:

\(\implies \dfrac{x}{\sin 47^{\circ}}=\dfrac{19}{\sin (180-y)^{\circ}}\)

Rearrange the equation to isolate y:

\(\implies \sin (180-y)^{\circ}=\dfrac{19\sin 47^{\circ}}{x}\)

\(\implies (180-y)^{\circ}=\sin^{-1}\left(\dfrac{19\sin 47^{\circ}}{x}\right)\)

\(\implies y^{\circ}=180^{\circ}-\sin^{-1}\left(\dfrac{19\sin 47^{\circ}}{x}\right)\)

Substitute the found value of x and evaluate:

\(\implies y^{\circ}=180^{\circ}-\sin^{-1}\left(\dfrac{19\sin 47^{\circ}}{14.0329856...}\right)\)

\(\implies y^{\circ}=180^{\circ}-81.9795708...^{\circ}\)

\(\implies y^{\circ}=98.020429...^{\circ}\)

\(\implies y=98.0\; \sf (nearest\;tenth)\)

Therefore, the values of x and y (rounded to the nearest tenth) are:

Answer:30.3

Step-by-step explanation:

30.3% is the probability that a data value in a normal distribution is between a z-score of -1.52 and a z-score of -0.34.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

We can use a standard normal distribution table or calculator to find the probability that a data value falls between two given z-scores.

The probability of a data value being between a z-score of -1.52 and a z-score of -0.34 is equal to the area under the standard normal distribution curve between these two z-scores. We can find this area by subtracting the area to the left of -0.34 from the area to the left of -1.52:

P(-1.52 < z < -0.34) = P(z < -0.34) - P(z < -1.52)

Using a standard normal distribution table or calculator, we can find that P(z < -0.34) is approximately 0.3665 and P(z < -1.52) is approximately 0.0643. Therefore, the probability of a data value being between a z-score of -1.52 and a z-score of -0.34 is:

P(-1.52 < z < -0.34) = 0.3665 - 0.0643 = 0.3022

Rounding this answer to the nearest tenth of a percent, we get:

P(-1.52 < z < -0.34) ≈ 30.2%

Therefore, the closest answer choice is B, 30.3%.

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Answer:

No

Step-by-step explanation:

\(7^{-1}\) is a fraction

using the rule of exponents

• \(a^{-m}\) = \(\frac{1}{a^{m} }\)

then

\(7^{-1}\) = \(\frac{1}{7^{1} }\) = \(\frac{1}{7}\) ← that is a fraction

The height of the building is approximately 227 feet.

In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.

The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.

As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.

Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF

On substituting the values from the given data, we get:

AE/(EF + 5.5) = 7/5.5.... (1)

Similarly, we can write from the given data:

BD/DF = 162/5.5.... (2)

From equations (1) and (2), we can write:

AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)

On solving the above equation for AE, we get:

AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft

Therefore, the height of the building is approximately 227 feet.

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a. The missing values of the logarithm expression is log₃(40).

b. The missing values of the logarithm expression is log₅(8).

c. The missing values of the logarithm expression is  log₂(1/25).

The missing values of the logarithm expression is calculated as follows;

(a). log₃5 + log₃8, the expression is simplified as follows;

log₃5 + log₃8 = log₃(5 x 8) = log₃(40)

(b). The log expression is simplified as;

log₅3 - log₅X = log₅3/8

log₅X = log₅8

X = 8

(c).  The log expression is simplified as;

-2log₂5 = log₂Y

log₂5⁻² = log₂Y

5⁻² = Y

1/25 = Y

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Since p represents the fraction of sunlight, when we have direct sunligh p equals 1, then for 1/4 as bright as direct sunlight p is 1/4*1=1/4, we can find n by replacing 1/4 into p, like this:

Then, the number of stop setting that he would move is 2.

The value of p goes from 0 at its minimum value to 1 at its maximum value for direct sunlight. then, we can plot the equation in the interval (0,1], by calculating the value of n for different values of p, like this:

n(0.1)=3.32

n(0.3)=1.74

n(0.5)=1

n(0.7)=0.51

n(0.9)=0.15

n(1)=0

let's plot these values:

From the plot, If Benito moves down 3 f-stop settings his daylight fraction is approximately 0.15

Answer:

x > 9

Step-by-step explanation:

6x + 9 < 7x .    

-6x         -6x             <---- Subtract 6x from both sides.

       9 < x                <----- 7x - 6x = 1x (which can also be written as just x)

Therefore the answer is x > 9.

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

Answer:

A

Step-by-step explanation:

3-3= 3(9-9)

0= 0

thanks

Answer:

(9, 3)

Step-by-step explanation:

Hi there!

I provided a graph of the function below to help.

If you take a quick look, the graph goes through point (9,3)

I hope this helps!

Answer:

\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)

Answer:

jsdkvbkjsdnckjsa

Therefore , the solution of the given problem of function comes out to be For 0 x x 2, C(x) = $5.00 ,For 2 x x 11, C(x) = $5.00 + $0.80(x - 2)

and For 11 x 16 C(x) = $9.40 + $0.30(x - 11)

The curriculum for mathematics includes a wide range of topics, such as numbers, numbers, and their component  as well as construction, building, and both actual and hypothetical geographic places. A work discusses the relationships between different components that all work together to produce the same result. A utility is made up of a variety of distinctive components that, when combined, produce specific results for each input.

Here,

Let C(x), where x is a number between 0 and 16, indicate the cost of a taxi ride over a distance of x miles.

The price is a flat fee of $5.00 for travel between 0 and 2 miles, so

=>  C(x) = $5.00 for 0 x 2

Costs for lengths between 2 and 11 miles are $5.00 for the first 2 miles and $0.80 for each additional mile up to 11 miles.

Accordingly,

=>  C(x) = $5.00 + $0.80(x - 2) for 2 x 11.

The price is $9.40 for the first 11 miles and $0.30 for each additional mile over 11 miles for lengths between 11 and 16 miles, so:

=>  For 11 x 16 C(x) = $9.40 + $0.30(x - 11)

Since the cost of a taxi journey depends on the distance travelled, the piecewise function is as follows:

=>  For 0 x x 2, C(x) = $5.00

=>  For 2 x x 11, C(x) = $5.00 + $0.80(x - 2)

=> For 11 x 16 C(x) = $9.40 + $0.30(x - 11)

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happy first question!!!!

The calculated measure of t from the given equation is 15 degrees

From the question, we have the following parameters that can be used in our computation:

10

to

25°

When expressed properly, we have

10° + t° = 25°

Evaluate the like terms

So, we have

t° = 15°

Hence, the value of t° is 25°

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Janie cannot do a fraction of a chore, the Number of chores that Janie would need to do to earn enough money to purchase the CD is at least 12.

Let us assume that "c" represents the number of chores that Janie could do. Let's now create an inequality to determine the number of chores, ccc, that Janie could do to have enough money to buy the CD.

Since Janie earns $1.20 for each chore she does, we can multiply that amount by the number of chores she completes to determine how much money she will earn.

Thus, we obtain the following inequality:1.20c >= 13.50To find the number of chores that Janie would need to do to earn enough money to purchase a CD, we can use algebra to solve for "c".

To do that, we must first divide each side of the inequality by 1.20:c >= 11.25After dividing each side by 1.20, we obtain the inequality c ≥ 11.25.

Since Janie cannot do a fraction of a chore, the number of chores that Janie would need to do to earn enough money to purchase the CD is at least 12.

Let's do a check: If Janie were to complete 12 chores, she would earn 1.20 × 12 = 14.40, which is greater than the cost of the CD.

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Answer:

37/4 is the answer

Using the normal distribution, it is found that there is a 0.1029 = 10.29% probability that the sample mean is above 96.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Researching the problem on the internet, the parameters are given as follows:

\(\mu = 92, \sigma = 10, n = 10, s = \frac{10}{\sqrt{10}} = 3.1623\)

The probability that the sample mean is above 96 is one subtracted by the p-value of Z when X = 96, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{96 - 92}{3.1623}\)

Z = 1.265

Z = 1.265 has a p-value of 0.8971.

1 - 0.8971 = 0.1029 = 10.29% probability that the sample mean is above 96.

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Answer:

$18,000

Explanation:

Let us represent the tax by y and the property value by x. If the tax is proportional to the property value, then the relationship between y and x is the following.

where k is the constant of propotionality.

Now, to paraphrase, we are told that when y = $9,000, then x = $500,000. This means

and we need to solve for k.

Dividing both sides by 9000 gives

which simplifies to give

With the value of k in hand, our formula now becomes

We can now find the tax when x = 1,000,000.

Putting in x = 1,000,000 into the above formula gives

which simplifies to give

This means, the tax on a property assessed at $1,000,000 is $18,000.

In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.

A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.

Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.

From the data given:

a.

In calculating the factor A variation, there are two degrees of freedom.

In determining the variation of factor B, there are two degrees of freedom.

b.

Finding the degree of freedom using the interaction variation, there are four degrees of freedom.

c.

In finding the random variable, there are 9(4-1) = 27 degrees of freedom.

d.

In calculating the total variable, there are 9*4-1 =35 degrees of freedom.

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Answer:

0.07

Step-by-step explanation:

7/100

Answer:

it would be .07 i believe

Answer:

\(\displaystyle \frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Step-by-step explanation:

This can be solved with either the washer (easier) or the shell method (harder). For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution.  I'll show how to do it with both:

Shell Method (Horizontal Axis)

\(\displaystyle V=2\pi\int^d_cr(y)h(y)\,dy\)

Radius: \(r(y)=2-y\) (distance from y=2 to x-axis)

Height: \(h(y)=2-(-\ln y)=2+\ln y\) (\(y=e^{-x}\) is the same as \(x=-\ln y\))

Bounds: \([c,d]=[e^{-2},1]\) (plugging x-bounds in gets you this)

Plugging in our integral, we get:

\(\displaystyle V=2\pi\int^1_{e^{-2}}(2-y)(2+\ln y)\,dy=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Washer Method (Parallel to x-axis)

\(\displaystyle V=\pi\int^b_a\biggr(R(x)^2-r(x)^2\biggr)\,dx\)

Outer Radius: \(R(x)=2-e^{-x}\) (distance between \(y=2\) and \(y=e^{-x}\))

Inner Radius: \(r(x)=2-1=1\) (distance between \(y=2\) and \(y=1\))

Bounds: \([a,b]=[0,2]\)

Plugging in our integral, we get:

\(\displaystyle V=\pi\int^2_0\biggr((2-e^{-x})^2-1^2\biggr)\,dx\\\\V=\pi\int^2_0\biggr((4-4e^{-x}+e^{-2x})-1\biggr)\,dx\\\\V=\pi\int^2_0(3-4e^{-x}+e^{-2x})\,dx\\\\V=\pi\biggr(3x+4e^{-x}-\frac{1}{2}e^{-2x}\biggr)\biggr|^2_0\\\\V=\pi\biggr[\biggr(3(2)+4e^{-2}-\frac{1}{2}e^{-2(2)}\biggr)-\biggr(3(0)+4e^{-0}-\frac{1}{2}e^{-2(0)}\biggr)\biggr]\\\\V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\biggr(4-\frac{1}{2}\biggr)\biggr]\)

\(\displaystyle V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\frac{7}{2}\biggr]\\\\V=\pi\biggr(\frac{5}{2}+4e^{-2}-\frac{1}{2}e^{-4}\biggr)\\\\V=\pi\biggr(\frac{5}{2}+\frac{4}{e^2}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4}{2e^4}+\frac{8e^2}{2e^4}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4+8e^2-1}{2e^4}\biggr)\\\\V=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Use your best judgment when deciding on what method you use when visualizing the solid, but I hope this helped!

The first three terms of the arithmetic sequence are -97, -63, and -29.

The value of x = -14.

To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:

The common difference (d) is the same between all consecutive terms.

So, we have:

(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)

Simplifying the equation:

5x + 7 - 7x - 1 = 2x - 1 - 5x - 7

-2x + 6 = -3x - 8

Now, let's solve for X:

-2x + 3x = -8 - 6

x = -14

Substituting the value of X back into the expressions, we can find the first three terms:

First term: 7x + 1 = 7(-14) + 1 = -97

Second term: 5x + 7 = 5(-14) + 7 = -63

Third term: 2x - 1 = 2(-14) - 1 = -29

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Answer:

The calculated value   t = 0.452< 2.2621 at 0.05 level of significance

null hypothesis is accepted

Based on the sample, can it be concluded that μ is not different from 45 centimeters

Step-by-step explanation:

Step( i ):-

Heights were measured for a random sample of 10 plants

Size of the sample 'n' = 10

Mean of the sample (x⁻ ) = 46 centimeters

Standard deviation of the sample (s) = 7 centimeters

Mean of the Population ( μ ) = 45

Step(ii):-

Null Hypothesis :H₀:( μ ) = 45

Alternative Hypothesis : H₁:  μ ) ≠ 45

Test statistic

             \(t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }\)

            \(t = \frac{46-45}{\frac{7}{\sqrt{10} } }\)

           t = 0.452

  Degrees of freedom

                 γ = n-1 = 10 -1 = 9

t₀.₀₅ =  2.2621

The calculated value   t = 0.452< 2.2621 at 0.05 level of significance

null hypothesis is accepted

Based on the sample, can it be concluded that μ is not different from 45 centimeters

Answer:

20 games

Step-by-step explanation:

(12/x)=(60/100)

12*100=1200

60x=1200

x=20

20    

Step-by-step explanation:

Answer:

Step-by-step explanation:

force per unit area is called pressure.

radius=5/2 cm

area=π(5/2)²=25/4π

force=15 lbs

pressure=15÷25/4π=(15×4π)÷25=12π/5=2.4π lbs per square cm

The difference between 2 parts of congruency is as follows.

What is congruent?

Congruence of triangles: 2 triangles square {measure} aforesaid to be congruent if all 3 corresponding sides square measure equal and every one the 3 corresponding angles square measure equal in measure. These triangles may be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with one another. The image of congruity is’ ≅’

Main Body:

ASA vs AAS:

            ASA stands for “Angle, Side, Angle”,

            AAS means “Angle, Angle, Side”

ASA  ===

two triangles are congruent if they need associate equal aspect contained between corresponding equal angles. If the vertices of 2 triangles are in matched correspondence such 2 angles and therefore the enclosed aspect of 1 triangle are congruent, severally, to the 2 angles and therefore the enclosed aspect of the second triangles, then it satisfies the condition that the triangles are congruent.

AAS===

two angles and an opposite facet. AAS is one amongst the 5 ways that to see if 2 triangles are congruent. It states that if the vertices of 2 triangles are in matched correspondence such 2 angles and therefore the facet opposite to at least one of them in one triangle are congruent to the corresponding angles and therefore the non-included facet of the second triangle, then the triangles are congruent.

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Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

We can see that Natalie is reducing the amount she owes by $18 every two weeks.

Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.

This means that after n weeks, the amount she still owes is:

$180 - $18n

Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:

$180 - P

After two weeks, she will owe:

($180 - P) - P = $180 - 2P

After four weeks, she will owe:

($180 - 2P) - P - P = $180 - 4P

After six weeks, she will owe:

($180 - 4P) - P - P = $180 - 6P

And after eight weeks, she will owe:

($180 - 6P) - P - P = $180 - 8P

We can set up an equation using the information we have:

$180 - 8P = $108

Solving for P, we get:

P = $9

Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

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The complete question:

Natalie borrowed money from her parents to pay for a trip. ​Natalie will ​pay her parents in equal amounts every week until she pays back the ​entire amount she borrowed. ​ ​The table below shows the amount of ​money Natalie still owes her parents at the end of every two weeks for ​the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?

Week 0 = $180

Week 2 = $162

Weeks 4 = $144

Week 6 = $126

Week 8 = $108