Newton and Descartes
each buy identical pastillas. Newton
cuts his into twelfths and eats 8 slices.
Descartes cuts his into sixths, eats
some, and has 2 slices left. Did Newton
and Descartes eat the same amount?
Explain.

Answer:

Great than 10, but less than 100

Step-by-step explanation:

Make 700% a decimal by dividing by 100

700/100 = 7

7 = 5 = 35

700% of 5 is 35.

Answer:Greater than 10 but less than 100

Step-by-step explanation

700% of 5 = 35

35 is greater than 10

but less than 100

hope this helps

Answer:0=4

Step-by-step explanation:

2(w+2)-w=(w-1)+9

2w+4-w=(w-1)+9

1w+4=(w-1)+9

w+4=w-1+9

w+4=w+8

w+4 - 4 = w+8 - 4

w=w+4

w-w = w-w +4

0=4

There is no sufficient evidence to support that the population mean is less than 165.

What is mean ?

The average of a set of values is referred to as the mean in statistics and math. The simple arithmetic mean, geometric mean, and harmonic mean are some of the methods that can be used to calculate the mean. The simple arithmetic mean involves adding the numbers together and dividing the result by the number of observations.

From the given data

183, 152, 178 , 157 , 194 , 163 , 144 , 114 , 178 , 152 , 118 , 158

Mean = 157.5833

Standard deviation s = 24.39

  n = 12

Null hypothesis  [tex]H_{0}[/tex] : μ = 165

Alternative Hypothesis [tex]H_{1}[/tex] = μ < 165

Level of significance ∝ = 0.05

degree of freedom (df) = n - 1

                                (df) = 12 - 1

                                (df) = 11

critical value [tex]t_{0.05 , 11}[/tex] = -1.796 (left - tailed)

Test - statistics (t) = ( mean - μ ) / ( s / √n)

                         (t) = -1.053

p - value = 0.1574

p - value > Significance level (∝)

 0.1574 > 0.05

We fail to reject the null hypothesis

Critical value [tex]t_{0.05 , 11}[/tex] = -1.796

                   |[tex]t_{0.05 , 11}[/tex]| = 1.796

|test - statistics| < |critical value|

1.053 < 1.796

We fail to reject the null hypothesis

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Answer:

33,000

Step-by-step explanation:

0.33 x 10^5 is 33,000

Answer:

  7 : 13

Step-by-step explanation:

If 35% of people have high blood pressure, you want the odds in favor of a randomly chosen person having high blood pressure.

The odds ratio is the ratio of favorable to unfavorable outcomes:

  high blood pressure : not high blood pressure = 35% : 65% = 7 : 13

When we have two sides and the angle between them, we have "SAS." Calculate the unknown side using the Law of Cosines, then find the lesser of the other two angles using the Law of Sines, and finally find the final angle by adding the three angles together to make 180 degrees.

The two triangles are congruent if we can demonstrate that two sides and the included angle of one triangle are congruent with two sides and the included angle of another triangle.

Triangles are considered congruent by SAS if their two sides match those of the other triangle's corresponding two sides, and if their included angles are parallel in both triangles.

Hence we get the required answer.

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Answer:

Answer is attached as a photo. I will be honest I am not familiar with a calculus problem being set up that way. I am guessing that is what they are looking for...

Step-by-step explanation:

The upper bound of the given function is 20 while the lower bound of the given function is -8.

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given function,

-2 ≤ f(x) ≤ 5

At the upper bond, f(x) = 5

[tex]\int\limits^{3}_{-1} {f(x)} \, dx[/tex] = [tex]\int\limits^{3}_{-1} {5} \, dx[/tex]

⇒ 5(3 + 1) = 20

At the lower bond f(x) = -2

[tex]\int\limits^{3}_{-1} {f(x)} \, dx=\int\limits^{3}_{-1} {-2} \, dx[/tex]

⇒ -2(3 + 1) = -8

Hence "The upper bound of the given function is 20 while the lower bound of the given function is -8".

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21⁰

sin0=opp/hyp

sin0=5/14

0=(sin^-1)5/14

0=21⁰

The expression that represents the total number of miles Hayden biked is A. 5 × (3 + 3 + 2 1/4)

It is important to note that an expression simply refers to mathematical statements which have at least two terms which are then related by an operator. In this case, they contain either numbers, variables, or both.

In this case, since Hayden rode his bike 5 times and each time he biked a 3 mile path, a 2 mile path, and a 2 1/4 mile path. Then in this situation, the expression will be:

= 5 × (3 + 3 + 2 1/4)

In conclusion, the correct option is A.

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Answer:

10x − 3

Step-by-step explanation:

x − 4 + 8x + 1 + x

combine x terms:

10x − 4 + 1

combine numbers:

10x − 3

well, the percent increase is really 15 cents, because 0.40 - 0.25 = 0.15.

now, if we take 0.25 to be the 100%, what's 0.15 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 0.25 & 100\\ 0.15& x \end{array} \implies \cfrac{0.25}{0.15}~~=~~\cfrac{100}{x}\implies \cfrac{~~ \frac{ 25}{100 } ~~}{\frac{15}{100}}=\cfrac{100}{x}\implies \cfrac{25}{100}\cdot \cfrac{100}{15}=\cfrac{100}{x} \\\\\\ \cfrac{5}{3}=\cfrac{100}{x}\implies 5x=300\implies x=\cfrac{300}{5}\implies x=60[/tex]

Answer:

Inequality: 40x + 13100 ≤ 24500

x ≤ 285

Step-by-step explanation:

Answer: 23/5 = 4 3/5

20/12 = 1 8/12 = 1 2/3

3 3/4 = 15/5

4 7/15 = 67/15

18/8 = 2 2/8 = 2 1/4

45/18 = 2 9/18 = 2 1/2

8 3/10 = 83/10

1 11/12 = 33/12

Step-by-step explanation:

For the given domain and range, the only option that can be true is C:

h(2) = 16

We know that we have a function h(x), such that the domain of that function is:

D: [-3, 11]

And the range is:

R: [1, 25]

We also know that:

h(8) = 19

h(-2) = 2

Now let's analyze each statement:

A) h(-3) = -1

This is false because -1 is not in the range.

B) h(8) = 21

This false, because h(8) is equal to 19 bassed on the given information.

C) h(2) = 16

This can be true, x = 2 and h(x) = 16 are in the domain and range respectively.

D) h(13) = 18

This is false because x = 18 is not in the domain.

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If triangle RST is an acute triangle, then m∠S must be less than 90°.

What is Acute Traingle?

A form of triangle called an acute triangle has acute angles at each of its three internal angles. Triangles with sharp angles are also known as acute triangles. Acute triangles have different side lengths, but their interior angles are always less than 90°.

In light of the foregoing, if triangle RST is an acute triangle,

then,

∠R , ∠S and ∠T, all are less than 90.

A triangle that is equilateral and has all three interior angles equal and less than 90 degrees, or angles that are all 60 degrees, is an example of an acute triangle.

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The number of sugar cups will be equal to 7.5 cups.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the ratio of flour to sugar is 2 cups to 3 cups. The number of cops for flour is 5.

The number of sugar cups will be calculated as,

F / S = 2 / 3

5 / S = 2 / 3

S = ( 5 x 3 ) / 2

S = 7.5 cups

Therefore, the number of sugar cups will be equal to 7.5 cups.

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The example of a complex fraction is the fraction that consisting fraction on the numerator or denominator or both, that is 4 / (1/6)

The simple fraction consist of both numerator and denominator as whole number. The term on the top is the numerator and the term on the bottom is called the denominator

The complex fraction is defined as the fraction that consisting fraction on the numerator or denominator or both

The example of the complex fractions are

4 / (1/6)

Here the numerator is the 4 and it is a whole number. The denominator is 1/6 that is a fraction

Therefore, the example of a complex fraction is 4 / (1/6)

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Answer:

34.2

Step-by-step explanation:

as the conversion from cm to mm you divide by 10

so it's 342 ÷ 10 = 34.2cm

Answer:

The first option.

Step-by-step explanation:

The graph starts very negative and ends very positive. Not sure how else to explain it.

Answer:

34°

Step-by-step explanation:

34° is the the compliment of 56°

complementary angles can add upto 90°

56 + 34 = 90

90° - 56° = 34°

or

56° + x = 90°

-56 -56

x = 34°

Name of the angle = acute angle 34°<90°

0° - 90° = acute angles

90° - 180° = obtuse angles

Answer:

m = -66

Step-by-step explanation:

-m = -1m

-m = 66  ⇒  -m/-1 = 66/-1  ⇒  m = -66

The appropriate order is f, c, u, s

The asymptotes and intercepts are the graphing spots of interest. Maxima and minima are useful as well, but they might not be as simple to find. Thus, the initial action is to...

1. Determine the vertical asymptotes and zeros of the function.

To choose test numbers on either side of the aforementioned locations, you must be aware of the sign of the function close to each of the aforementioned points. The function can be assessed using the test numbers, and/or the sign can be established. So, the following actions are...

2. Pick test numbers that are to the left and right of...

3. To determine the sign of the function, use test numbers.

Finally, after having this knowledge, you can...

4. Draw the graph of the function.

In conclusion, the steps are f, c, u, s

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Answer:

8 cards per chip

Step-by-step explanation:

So 32:4 is the ratio.

Divide by 4 to get 8 cards per chip.

The equation that represents how many grams of the compound will remain after 4 hours is A(4) = 380 *(1 - 12.1%)⁴

From the question, we have the following parametersa:

Mass = 380 grams

Rate of decay= 12.1% per hour

These parameters can be represented using the following exponential equation

A(n) = A *(1 - r)ⁿ

Where

n = number of hours = 4

A  = Initial mass = 380

r = rate of decay = 12.1%

Substitute the known values in the above equation, so, we have the following representation

A(4) = 380 *(1 - 12.1%)⁴

Hence, the equation is A(4) = 380 *(1 - 12.1%)⁴

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The to make 10 strategy is a derived facts strategy. That means we need to know some facts by hear before they can use a make 10 strategy.

Make 10, or Add up using 10 is a derived facts strategy. That means we need to know some facts by hear before they can use a make 10 strategy. The key facts for using a make 10 strategy are 8+2=10 and 9+1=10.

For example

We need to make 10 to add 8 + 8.

8  + 8 = (10 - 2) + (10 - 2)

8 + 8 = 10 - 2 + 10 - 2

8 + 8 = 20 - 4

8 + 8 = 16

Thus, to make 10 is a derived facts strategy. That means we need to know some facts by hear before they can use a make 10 strategy.

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Answer: C) 15/2

Step-by-step explanation:

Using the formula for the sum of an infinite geometric series,

[tex]\frac{5}{1-\frac{1}{3}}=\frac{15}{2}[/tex]

225 liters of water your family will having in 1 month when 2.5 liters of water for each day and 3 liters for adult.

Given that,

We have to find how much water your family will having in 1 month.

We know that,

When measured at its maximum density, which occurs at a temperature of about 4 °C, one litre of water has a mass of almost exactly one kilogram. As a result, one millilitre (1 mL), which is equal to 1000th of a litre, has a mass of approximately 1 g, and 1000 litres has a mass of approximately 1000 kg.

2.5 liters of water for each day

3 liters for adult

That means

1 month has 30 days

2.5×30=75

75×3=225

Therefore, 225 liters of water your family will having in 1 month when 2.5 liters of water for each day and 3 liters for adult.

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