!!!!PLEASE HELP!!!!Lesson
4.07
Ernesto is on a swing at a playground. After his dad releases him, Ernesto swings along an arc for
16 ft. Suppose the length of every arc after that is 90% of the previous arc's length. How far will
Ernesto travel after 10 swings? Round to the nearest tenth of a foot. Show all steps used to find
the solution.

To find the initial number of pears at the grocery store, you need to consider that 455 pears represent 70% (100% - 30%) of the total number of pears. The grocery store started with 1517 pears.

We know that the grocery store sold 30% of its pears, which means they have 70% of the pears remaining. We can use a proportion to figure out how many pears they started with:

30/100 = x/total pears

We can simplify this to:

0.3 = x/total pears

Now we need to solve for total pears. We can start by cross-multiplying:

0.3 * total pears = x

Next, we can substitute the information we were given:

0.3 * total pears = 455

Now we can solve for total pears:

total pears = 455 / 0.3

total pears = 1516.67 (rounded to the nearest whole number)

So the grocery store started with approximately 1517 pears.

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Answer:

the height of the building would be about 27.111 or rounded 27

Step-by-step explanation:

We have the following:

Answer:

706.5

(there is no hundredths place)

Step-by-step explanation:

r=15

a= pi × r²

3.14×15²

15²=225

3.14×225=706.5

Solution:

Given:

When you add 1 plus 1, the result is 2.

Answer:

Please find attached the required graph of the inequality representing the temperatures yeast will NOT thrive

Step-by-step explanation:

The given parameters are;

The temperature range, y, in which yeast thrives is 90°F ≤ y ≤ 95°F

Therefore, the temperature range, y', in which yeast will not thrive is 90°F > y  and y > 95°F

The graph of the inequality that represents the temperature is therefore given as shown in the attached drawing.

Answer:

Picture shown below

Step-by-step explanation:

Yeast thrives in temperatures within the temperature range of 90°F to 95°F. Any temperature above or below those limits hinders yeast production. An inequality to represent where yeast will not thrive is shown, where x represents the temperatures where the yeast will not thrive.

The solution to the system of equations is r = 1, m = 9. the method of substitution or elimination.

To solve this system of equations, we can use the method of substitution or elimination.

Here's how to solve it using substitution:

From the first equation, we can solve for m in terms of r by subtracting 2r from both sides:

m = 11 - 2r

We can then substitute this expression for m into the second equation and solve for r:

6r - 2(11 - 2r) = -12

6r - 22 + 4r = -12

10r = 10

r = 1

Now that we know r = 1, we can substitute this value back into either of the original equations to solve for m:

2(1) + m = 11

m = 9

Therefore, the solution to the system of equations is r = 1, m = 9.

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Answer:

Step-by-step explanation:

Given:

a= -3i

g=2i - 1lj

Solve:

-a - g

If l is an L then

-(-3i) - (2i-1lj)

i + lj

If I is an i then

-(-3i) - (2i-1ij)

i + ji

Concept: "Logos" has had a significant impact on Western thought. Importance: its recognition of the interplay between rational thought and empirical observation Acknowledgement: role of language and discourse in shaping our understanding of the world.

Topic: The concept of "Logos" in Greek philosophy and its significance in modern scientific fields.

The concept of "Logos" is central to Greek philosophy and has been interpreted in various ways throughout history. In its most basic sense, "Logos" refers to rational thought, speech, and language. It is often associated with the divine or the cosmic principle that governs the universe, as well as human reasoning and discourse.

The significance of "Logos" can be seen in its influence on modern scientific fields, including biology, psychology, and technology, among others. The term "biology," for example, comes from the Greek words "bios" (life) and "logos" (word or reason), reflecting the idea that the study of life requires both empirical observation and rational analysis.

Similarly, the field of psychology, which deals with the workings of the human mind and behavior, derives its name from the Greek word "psyche," meaning "soul," and "logos," meaning "reason." This reflects the idea that the study of the mind and behavior requires both empirical research and theoretical analysis.

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Translation: The Greek word "logos" is typically interpreted as the pinnacle of Western rationalist civilization, having been established by the first schools of classical philosophy. In reality, he is responsible for the names of many scientific fields, including biology, philology, psychology, technology, and others. Since it requires both mind and action, internal and external, the mental notion and pronouncing the word, the concept of "logos" does not have such an abstract meaning. Topic:____________________________________________________ Principal Concept:

Answer:

26

Step-by-step explanation:

All I did was 60-8

(52)

Then 52/2

26

Answer:

26

Step-by-step explanation:

1) A number is doubled. This number will be represented by X.

8 + (X • 2) = 60

2) Subtract 8 from both sides of the equation

(X • 2) = 60 - 8

3) Simplify the equation

X • 2 = 52

4) Divide each side of the equation by 2

X = 52 ÷ 2

     52 ÷ 2 = 26

5) Simplify the equation

X = 26

Answer:

they always go smallest to largest!

7.65 x 2= 3.21

Step-by-step explanation:

Step-by-step explanation:

(2³ × 2¹)²

(2⁶ × 2²)

for indices , × become +, plus

÷ become -, minus

so

2⁶+²

2⁸

According to the concept of fraction the value of the quantity at any time t is -4.

A fraction is a mathematical representation of division of two numbers. In this case, we will be using fractions to solve an initial value problem.

The initial value problem is ′=−2,(0)=−4.

This means that the rate of change of the quantity is -2 and its starting value at time 0 is -4.

To solve this problem, we need to find the value of the quantity at some other time.

Here the first step is to find the general solution to the differential equation ′=−2.

This can be done by integrating both sides, which gives us

=> −2.

Integrating, we get

=> −2 + C, where C is an arbitrary constant.

Next, we use the initial value to find the value of C.

We know that when t=0, the value of the quantity is -4, so we can substitute these values into the general solution to get

=> -4 = -2 + C.

Solving for C, we get C = -2.

Finally, we substitute C into the general solution to get

=> -2 -2 = -4.

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The simplified form of the algebraic expression is \(\frac{23}{10} p+\frac{6}{5} r\) .

An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).

Given expression is of the form:

\(\frac{3}{5} (\frac{1}{2}p+2r )+2p\)

Now we will use the distributive property to expand the algebraic expression:

\(or, (\frac{3}{5} \times\frac{1}{2}p+\frac{3}{5} \times2r) +2p\\\\or,\frac{3}{10}p+\frac{6}{5} r+2p\\ \\or,\frac{3+20}{10} p+\frac{6}{5} r\\\\or,\frac{23}{10} p+\frac{6}{5} r\)

Hence the simplified algebraic expression is  \(\frac{23}{10} p+\frac{6}{5} r\) .

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The series can be rewritten using summation notation as: ∑(10n + 3) from n = 1 to 13

In the given series, each term is obtained by adding 10 to the previous term. So, we can write the nth term as 10n + 3, where n represents the position of the term in the series.

Using the summation notation, we can write the sum of the series as the sum of the nth terms from n = 1 to 13.
Therefore, the summation notation is:

∑(10n + 3) from n = 1 to 13

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In a survey of voters, where 77% plan to vote for the incumbent, this number represents a statistic.

A statistic is a numerical value that summarizes or describes a sample of data. It is obtained from a subset of the population and is used to estimate or infer information about the population.

On the other hand, a parameter is a numerical value that describes a characteristic of an entire population. It is typically unknown and is inferred or estimated using statistics.

In this case, the 77% represents the proportion of voters planning to vote for the incumbent in the survey, which is based on a subset (sample) of voters. Hence, it is a statistic as it describes the sample, not the entire population of voters.

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Answer:

I think the answer is 11 in my opinion

a) Approximately 19.77% of loaves are longer than 31.7 centimeters.

b) Approximately 59.67% of loaves are between 29.3 and 33.5 centimeters in length.

c) Approximately 1.22% of loaves are shorter than 25.5 centimeters.

(a) To find the percentage of loaves longer than 31.7 centimeters, we need to use the z-score formula:

z = (x - μ) / σ

Where x is the given length,

μ is the mean length,

and σ is the standard deviation.

z = (31.7 - 30) / 2 = 0.85

Using a z-table or calculator, we can find that the probability of a standard normal distribution being less than 0.85 is 0.8023.

Since we want the percentage of loaves longer than 31.7 cm, we subtract this probability from 1 to get: 1 - 0.8023 = 0.1977

Therefore, approximately 19.77% of loaves are longer than 31.7 centimeters.

(b) To find the percentage of loaves between 29.3 and 33.5 centimeters,

we need to find the z-scores for each of these lengths and then subtract the probability of the lower z-score from the probability of the higher z-score:

z1 = (29.3 - 30) / 2

  = -0.35z2

  = (33.5 - 30) / 2

  = 1.75.

Using a z-table or calculator,

we can find that the probability of a standard normal distribution being less than -0.35 is 0.3632 and the probability of a standard normal distribution being less than 1.75 is 0.9599.

Subtracting these probabilities,

we get:0.9599 - 0.3632 = 0.5967.

Therefore, approximately 59.67% of loaves are between 29.3 and 33.5 centimeters in length.

(c) To find the percentage of loaves shorter than 25.5 centimeters, we need to find the z-score for this length and then find the probability of a standard normal distribution being less than that z-score:

z = (25.5 - 30) / 2 = -2.25.

Using a z-table or calculator, we can find that the probability of a standard normal distribution being less than -2.25 is 0.0122.

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Answer: For time t ≥ 0 hours, let r(t) = 120 1 − e−10t2 represent the speed, in kilometers per hour, at which a ()

car travels along a straight road. The number of liters of gasoline used by the car to travel x kilometers is −x 2

modeled by g(x) = 0.05x 1 − e . ()

(a) How many kilometers does the car travel during the first 2 hours?

(b) Find the rate of change with respect to time of the number of liters of gasoline used by the car when

t = 2 hours. Indicate units of measure.

(c) How many liters of gasoline have been used by the car when it reaches a speed of 80 kilometers per

  (a)

(b)

hour?

∫ 2 r (t ) dt = 206.370 kilometers 0

dg dg dx dx dt=dx⋅dt; dt=r(t)

2 : {1 : integral 1 : answer

3:{2:useschainrule

1 : answer with units

   dg dt

t=2

dg

= dx ⋅r(2)

x=206.370

= (0.050)(120) = 6 liters hour

    (c)

Let T be the time at which the car’s speed reaches 80 kilometers per hour.

Then, r(T ) = 80 or T = 0.331453 hours. At time T, the car has gone

x(T ) = ∫ T r (t ) dt = 10.794097 kilometers 0

and has consumed g(x(T )) = 0.537 liters of gasoline.

Answer: Rs 7,280

Step-by-step explanation:

The technique to find tax is by multiplying the sales price and the percent of tax.

If you are still confused, I can provide some examples:

------------------------------------------------------------------------

Given

Price: Rs 45,500

Tax: 16%

Calculate

45,500×16%=Rs 7,280

Hope this helps!! :)

Please let me know if you have any questions

Based on the chemical equations given, the balanced equation would be d. D.

In Chemistry, a balanced equation is one that has the same number of atoms on the left side of the equation, as on the right side of the equation.

The balanced equation is therefore:

2KCIO₃ -->2 KCI + 3 O₂

This is because there are 2 KCI atoms and 6 Oxygen atoms on the left side, and there are also 2 KCI atoms and 6 Oxygen atoms on the right side.

In conclusion, option D is correct.

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Answer:

C and B; A and C; E and C;

Step-by-step explanation:

Skew Lines are lines that do not intersect and are not parallel. Skew lines must be in 2 different planes because in 1 plane 2 lines either intersect or are parallel. Assuming that a,b, and e are on the plane in front and c is on the plane in the back we can say that A and B, B and E, and A and E can not be skew lines because they lie on the same plane. This leaves C and B, E and C, and A and C.

Answer:

C and B; E and C; A and C

Step-by-step explanation:

Answer

Answer:

Step-by-step explanation:

To increase a number by a certain percentage, we can multiply the number by (1 + the percentage as a decimal).

To find 25% of 28, we can convert 25% to a decimal by dividing by 100:

25% = 25/100 = 0.25

Now, to find what 28 is increased by 25%, we can multiply 28 by (1 + 0.25):

28 * (1 + 0.25) = 28 * 1.25 = 35

So, the result when 28 is increased by 25% is 35.

Answer: 35

Step-by-step explanation:

we know 28 / 4 = 7

so, 7 is 25% of 28, therefore, we can add 7 to 28 and the answer is 35.

Domain of square root is not all real numbers.

Domain of a function:

The domain of a function is the set of input values (x) for which it produces an output value.

Like if we consider a function y = f(x)

then input inside function that is x is know as domain of function.

First we write square root function as y =

So inside root negative numbers are not allowed so value of x should be positive numbers  means x>=0.

So domain of square root function [0, ∞).

Domain of square root function is positive real numbers.

Not all real numbers because in all real numbers both positive and negative real numbers come.

Negative real numbers can not be input for square root function.

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Answer:

72.26

Step-by-step explanation:

Circumference formula is C=2\(\pi\)r

Radius is 1/2 the diameter so, 23/2 = 11.5

11.5 will be your radius.

Now, plug your radius into your formula: 2 x \(\pi\) x 11.5

and your answer will be approximately 72.26.

Answer:

30 is the volume

Step-by-step explanation:

Multiple 6x5 to get your answer

Answer:

$240 - $400

Step-by-step explanation:

$320 is Jason's current balance. By saying that this amount can vary by as much as $80, it suggests that he can have $80 less than his current balance, which would be $240, or he can have $80 more than his current balance, which would be $400. This answer can be written as a range since he can have any amount between these two numbers, but his amount just can't be an $80+ difference from his initial balance. The final answer is $240 - $400.

The difference between the highest and lowest values, $240 – $400 is the the possible balances of Jason's account.

The difference between the highest and lowest values.

$320 is Jason’s current balance.

$320 can vary by as much as $80,

He can have $80 less than his current balance, i.e $240, or he can have $80 more than his current balance, i.e $400.

This answer can be written as a range since he can have any amount between these two numbers.

Therefore Jason's current balance lies between  $240 – $400.

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