In this problem we determine the first time after 10 o'clock at which the minute hand and the hour hand of a clock point in the exact same direction ( meaning when they are " on top of" each other). See if you can find the time on your own before reading the following steps. ( Assume that both hands move continously. For example, from 10 o'clock to 11 o'clock, the hour hand smoothly and gradually moves from pointing at the 10 to pointing at the 11.)

a) Let m be the number of mintues after 10 o'clock at which the minuet hand and hour hand are pointing in the same direction. In terms of m, trhough what fraction of hte entire face of the clock has the minute hand traveled during the m minutes after 10 o'clock?

b) In terms of m, what fraction of hte distance from 10 to 11 has the hour hand traveled during the m minutes after 10 o'clock?

c) Trough what farction of the entire clock's face doe sthe hour hand travel during the m minutes after 10 o'clock?

d) At what exact time do the minute hand and hour hand point in the same direction?

( GIVE BRAINLIST IF CORRECT AND ANSWER!! )

Answer: In one serving of Sarah's dish 0.05 more cheese than in one serving of Amyn's dish.

Given: Sarah used cups of cheese in a dish that serves people and  Amyn used cups of cheese in a dish that serves people.

Now, the amount of cheese served by Sarah for a people is.

And the amount of cheese served by Amyn for a people is

Therefore, the difference between the amount of cheese served by Sarah and Amyn is calculated as

Cheese served by Sarah's in one serving  cheese served by Amyn's in one serving              

Hence, 0.05 more cheese is in one serving of Sarah's dish.

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Step-by-step explanation:

Answer: $42.60

Step-by-step explanation:

divide $35.50 by 5 and then add the quotient ---> $7.10, to $35.50, which equals $42.60.

Answer: HISFAVORITESUBJECTS

Step-by-step explanation:

The equation that matches the number of zombies after 2 hours is z = 42 × 3².

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, a group consisting of 42 aggressive zombies triples in size every hour.

Let the number of zombies be z.

Therefore, the equation that matches the number of zombies after 2 hours will be:

= 42 × 3^n

= 42 × 3²

= 42 × 9

= 378 zombies

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Answer:

The answer to this question is undefined or c

Step-by-step explanation:

A horizontal line has a slope of 0 because it does not go vertically and a vertical line has a slope of undefined because it does not go horizontally

The constant of proportionality for the relationship is 0.002.

We are provided that amount of chlorine needed is directly proportional to the volume of the pool .

So we can formulate the relation as

C = kV ... (1)                   ( where  C = amount of chlorine ,

                                              k = constant of proportionality

                                              V = volume of the pool  )

the sample ratio of chlorine to the the volume of pool , we have :

5 : 2500

10 : 5000

15 : 7500

So taking the first sample value and putting it in eqn (1)

we get

5 = k (2500)

therefore,

k = 5/ 2500

k = 0.002

So the constant of proportionality will be 0.002

Similarly if we take the other values also the constant of proportionality will remain the same.

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Answer:

  A, B, E

Step-by-step explanation:

You want three true statements describing the circle whose equation is ...

  x² + y² – 2x – 8 = 0

A graphing calculator can plot this equation for you. The result is attached.

We see that ...

__

Additional comment

The standard form equation of a circle is ...

  (x -h)² +(y -k)² = r² . . . . . center (h, k), radius r

Rearranging the given equation to this form, we have ...

  (x -1)² +y² = 8 +1 = 9 . . . . . . . . r²=9 ⇒ r=3

This means the center is (1, 0), and the radius is 3. The point (1, 0) is on the x-axis.

The circle with equation x² + y² = 9 is centered at the origin and has radius 3.

The translation made from f(x) → f(x) + 6 is sliding it up

A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction.

A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

Any translation in a Euclidean space is an isometry.

the translation made from f(x) → f(x) + 6 involves moving the graph up 6 units

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Answer:45600

Step-by-step explanation: 3800x12

There are 2940 no votes.

From the question, we have

there were 8085 total votes

ratio= 7 :4

No votes = 4/11*8085

=2940

Divide:

Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.

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The quadratic equation whose sum of two real roots is 31 and product is 210 will be [tex]x^{2} -31x+210 = 0[/tex].

According to the question,

We have the following information:

The sum of roots of a quadratic equation = 31

The product of roots of a quadratic equation = 210

We know that the standard form of the quadratic equation is given as follows:

[tex]ax^{2} +bx+c = 0[/tex]

Now, the sum of roots is -b/a and the product of roots is c/a.

So, we have the following expressions:

-b/a = 31

b = -31 and a = 1

c/a = 210

c = 210 and a = 1

So, the equation will be:

[tex]x^{2} -31x+210 = 0[/tex]

Hence, the quadratic equation whose sum of two real roots is 31 and product is 210 will be [tex]x^{2} -31x+210 = 0[/tex].

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Answer:

The slope (constant rate of change) is 5.

The trigonometric function use to solve the angle x in the right triangles are as follows:

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The side and angles of a right angle triangle can be found using trigonometric ratios.

Therefore, the trigonometric function that can be use to find the angle x in the triangles are as follows:

Triangle PNM

sin x = opposite / hypotenuse

sin x = 6 / 10

sin x = 3 / 5

Triangle ABC

cos x = adjacent / hypotenuse

cos x = 5 / 10

cos x = 1 / 2

Triangle DEF

tan x = opposite / adjacent

tan x = 4 / 6

tan x = 2 / 3

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The strength and relationships of the given data is verified as reasonable.

Given,

Determine the degree of the link (weak, moderate, or strong) in each of the six plots and if it is reasonable to fit a linear model to the data.

(a) There is a moderate relationship in the data. A linear model should not be reasonable.

→ From the plot here, it is clear that the data is following a quadratic trend, so a linear model should not be reasonable. On the other hand, it is also clear that the data is scattered more than a little around the approximate quadratic trend line, so there is a moderate relationship in the data.

(b) There is a strong relationship in the data. A linear model should be reasonable.

→ From the plot here, it is clear that the data is following a linear trend, so a linear model should be reasonable. On the other hand, it is also clear that the data is scattered almost a little around the approximate linear trend line, so there is a strong relationship in the data.

(c) There is a weak relationship in the data. A linear model should not be reasonable.

→ From the plot here, it is clear that the data is not following any trend, so a linear model should not be reasonable. On the other hand, it is also clear that the data is scattered everywhere, so there is a weak relationship in the data.

(d) There is a moderate relationship in the data. A linear model should not be reasonable.

→ From the plot here, it is clear that the data is following a quadratic trend, so a linear model should not be reasonable. On the other hand, it is also clear that the data is scattered more than a little around the approximate quadratic trend line, so there is a moderate relationship in the data.

(e) There is a strong relationship in the data. A linear model should be reasonable.

→ From the plot here, it is clear that the data is following a linear trend, so a linear model should be reasonable. On the other hand, it is also clear that the data is scattered almost a little around the approximate linear trend line, so there is a strong relationship in the data.

(f) There is a weak relationship in the data. A linear model should not be reasonable.

→ From the plot here, it is clear that the data is not following any trend, so a linear model should not be reasonable. On the other hand, it is also clear that the data is scattered everywhere, so there is a weak relationship in the data.

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The value after multiplying the given mixed fractions is 7/6   .

In the question ,

it is given that ,

the two mixed fraction are given as [tex]-2\frac{1}{4}[/tex]  and [tex]-1\frac{1}{3}[/tex]  ,

we need to find their value after multiplication .

we first convert the mixed fractions into improper fraction ,

So ,

[tex]-2\frac{1}{4}[/tex] = (-2×4+1)/4 = (-8+1)/4 = -7/4

and

[tex]-1\frac{1}{3}[/tex] = (-1×3+1)/3 = (-3+1)/3 = -2/3

So , the product of -7/4 and -2/3 is written as

= -7/4 × -2/3

= (-7 × -2)/(4 × 3)

= 14/12

after simplifying ,

= 7/6

Therefore , The value after multiplying the given mixed fractions is 7/6   .

The given question is incomplete , the complete question is

Find the value after multiplying the given mixed fraction [tex]-2\frac{1}{4} \times -1\frac{1}{3}[/tex]   .

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Answer:

A) 3

B) 2[tex]\sqrt{6}[/tex]

C) 3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

A

3x3 = 9

B

24 = 2x2x2x3  We can pull out a pair of 2 and are left with 6

C

18 = 2x3x3  We can pull out a pair of 3 and are left with 2

The equation in slope intercept form to model the relationship is:

y = 660,000x+2000

Given,

An Olympic sized swimming pool consists of 660,000 gallons of water.

It is currently be drained at a rate of 2,000 gallons a second.

we are asked to determine the equation in slope intercept form = ?

we know the slope intercept form is:

y = mx+c

based on the given conditions, we formulate:

y = 660,000x + 2000

Hence we get the required answer.

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The two triangles are congruent.

So, their corresponding sides will be equal.

So, 2x+5 = 5x-19

3x = 24

x = 8 cm.

So, XZ = 2*8+5 = 21 cm

The equation that can be use to find the total cost y in dollars for x sheets of sticker is y = 2.55x.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, it should be noted that a proportional relationship exist between the figures that are given.

Therefore, the constant will be:

= Cost / Number of sheet

= 12.75 / 5

= 2.55

Therefore, the equation is y = 2.55x

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Answer:

526y-11

Step-by-step explanation:

14y-17+512y+6=526y-11

Answer:

Option (C)

Step-by-step explanation:

To simplify an expression, we can combine like terms. For this expression, there are two pairs of like terms, one-fourth y and five-twelfths y, and the constants negative seventeen and six.

To combine the fractions, we can find the least common denominator, twelve, so we can rewrite the fraction as three-twelfths.

Now combine the like terms to get eight-twelfths y minus eleven, which simplifies to two-thirds y minus eleven.

the slope of the given point is m=2/17

Answer:

  1, 2, 4, 5

Step-by-step explanation:

You want triangles congruent to triangle 4.

In this exercise, we can determine congruence using SSS congruence: the lengths of the sides in congruent triangles will match. (The order of appearance of the side lengths as you go around the triangle is irrelevant.)

The lengths of the sides are ...

Looking at the other triangles, we see side lengths of ...

All side lengths match: congruent to 4.

All side lengths match: congruent to 4.

One side is 6 grid squares: not congruent.

All side lengths match: congruent to 4.

One side is 6 grid squares: not congruent.

One side is the diagonal of a 3×2 rectangle: not congruent.

One side is the diagonal of a 4×1 rectangle: not congruent.

__

Additional comment

Triangles 3 and 6 are congruent to each other, but not to triangle 4.

Answer:

-1

Step-by-step explanation:

Jada = 12 books

Han = 13 less books than Jada

12-13= -1

Han would have negative 1 books but in this situation it would not be possible.

The ounces of the 50% mixture that the pharmacist should use is 6 ounce.

From the information, we need two equations to solve this problem.

equation 1:

x + y = 10

equation 2:

.5x + .75y = 10(.6)

set y = 10 - x

.5x + .75(10-x) = 6

.5x + 7.5 - .75x = 6

.5x -.75x = 6 - 7.5

-.25x = -1.5

Divide

x = -1.5/-.25

x = 6

Therefore, 6 ounce of the 50% sorghum are required.

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Answer:

10) 10n

12) 19-n

14) 7(x+2)

15) x/3 -11

11) n+5

13) n^2

Step-by-step explanation:

product = multiply

difference= subtract

sum = add

quotient = divide

Answer:

lo siento soy nuevo en este aplicación ay mis sierras disculpas

a) The hypothesis are given as follows:

b) The significance level is of α = 0.1.

c) The test statistic is of: t = 4.86.

d) The p-value is of: 0.

At the null hypothesis, it is tested if there is not enough evidence that the mean level is greater at the bottom of the surface, that is, if the mean is not positive, hence:

[tex]H_0: \mu_d \leq 0[/tex]

At the alternative hypothesis, it is tested if there is enough evidence that the mean level is greater at the bottom of the surface, that is, if the mean is positive, hence:

[tex]H_1: \mu_d > 0[/tex]

As stated in the problem, the significance level is of:

α = 0.1.

The test statistic is calculated by the formula presented as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The variables of this formula are listed as follows:

From the table, the sample is composed by the differences and given as follows:

0.015, 0.028, 0.177, 0.121, 0.102, 0.107, 0.019, 0.066, 0.058, 0.121.

The above sample is inserted into a calculator, to obtain the parameter values given as follows:

[tex]\overline{x} = 0.0814, \mu = 0, s = 0.053, n = 10[/tex]

Hence the numeric value of the test statistic is given as follows:

t = (0.0814 - 0)/(0.053/sqrt(10))

t = 4.86.

Using a t-distribution calculator, considering a right-tailed test, as we are testing if the mean is greater than a value, with 10 - 1 = 9 df and t = 4.86, the p-value is of 0.

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10 is the geometric mean between 23 and 4.35.

The geometric mean is a type of average,  generally used for growth rates. Let c is the geometric mean of a and b, then c=[tex]\sqrt{ab}[/tex].

Given that,

The geometric mean of 23 and other value is 10.

Let the other value is x.

Use the geometric mean property,

G.M.=[tex]\sqrt{ab}[/tex]        (1)

Substitute the given values in equation (1)

10=[tex]\sqrt{23x}[/tex]

⇒x=100/23

⇒x=4.347

The geometric mean of 23 and 4.35 is 10.

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Vertical asymptotes is x = -4 and horizontal asymptote is y = 1

What is an Asymptote?

An asymptote is a line that a curve approaches but never touches. A line where the graph of a function converges is known as an asymptote.

There are 3 types of asymptotes.

The given expression,

f(x) = (x² - 3x) / (x² + x - 12)

First, find Horizontal asymptote

so,

Horizontal asymptote (y) = (leading coefficient of numerator) / (leading coefficient of denominator)

leading coefficient of numerator = 1

leading coefficient of denominator = 1

y = 1/1

y =1 (Horizontal asymptote)

Now, find Vertical asymptote

so, let's simplify the expression f(x) = (x² - 3x) / (x + x - 12)

f(x) = (x(x - 3) ) / (x² + 4x - 3x - 12)

f(x) = (x(x - 3) ) / (x(x + 4) - 3 (x + 4) )

f(x) = (x(x - 3) ) / ( (x -3) (x + 4) )

f(x) = x / (x + 4)

Now, put the denominator = 0

x + 4 = 0

x = -4 ( Vertical asymptote )

Hence, Vertical asymptotes is x = -4 and horizontal asymptote is y = 1

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Jerry will able to make 3 pancakes if he has 4 1/2 cup of strawberry from which he make use of 3/4 strawberry to make breakfast smoothie and he need 1 1/4 cup of strawberries to make one pancake.

Total strawberry Jerry has = 4 1/2 cup = 9/2 cups

Strawberry used to make smoothies = 3/4 cup

Remaining strawberries

= 9/2 - 3/4

= (18-3)/4 = 15/4

To make one pancake, Jerry needs = 1 1/4 cup = 5/4 cup

Number of pancakes Jerry can make = 15/4/5/4 = 3 pancakes

Hence, the number of pancakes, Jerry can make is 3

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