In which number does the 5 have involve that is ten times the value of the number 5000?

A. 23,523
B. 7,508, 240
C. 45,701
D. 556,429

Answer:

2.407407 miles per minute

Step-by-step explanation:

Answer:

64.62

Step-by-step explanation:

\(cos(x)^{-1} = \frac{3}{7}\)

The number of red t-shirts that are now printed is 195.

Ratio is used to express the relationship between two numbers. It shows the frequency that a number is contained in another number.

8/5 = x / 75

x = number of red t-shirts initially printed

x = (75 x 8) / 5

x = 120

4/9 = 120 / (y + 75)

y = increase in the number of blue t-shirts now being printed

4(y + 75) = 120 x 9

y + 75 = 270

y = 270 - 75

y = 195

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Answer:

2/3 would be equal to 4/6, not 5/6.4/5 can't be equivalent to 2/3 either.

Step-by-step explanation:

Answer: P= 2 6/7

Step-by-step explanation:

Answer:

30mins

Step-by-step explanation:

Answer:

12 minutes

Step-by-step explanation:

20/5=4

3*4=12

Only ll is sufficient to conclude that x = 2 is the location of the absolute maximum of f on the interval [-5, 5].

To conclude that x = 2 is the location of the absolute maximum of f on the interval [-5, 5], one of the following statements must be individually sufficient:

l. f'(2) = 0: If the derivative of f at x = 2 is equal to 0, then x = 2 is a critical point of f. However, this alone is not sufficient to conclude that x = 2 is the location of the absolute maximum, as it could also be a local minimum or an inflection point.

ll. x = 2 is the only critical point of f on the interval [-5, 5], and f"(2) < 0: If x = 2 is the only critical point of f on the interval [-5, 5] and the second derivative of f at x = 2 is negative, then x = 2 is the location of a local maximum. In this case, we can conclude that x = 2 is the location of the absolute maximum of f on the interval [-5, 5], since there are no other points on the interval where f could potentially have a larger value.

lll. x = 2 is the only critical point of f on the interval [-5, 5], and f(-5) < f(2) < f(5): If x = 2 is the only critical point of f on the interval [-5, 5] and f(-5) < f(2) < f(5), then x = 2 is the location of the absolute maximum of f on the interval [-5, 5], since f(2) is the largest value of f on the interval.

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Answer:

3

Step-by-step explanation:

We can use the Pythagorean thorem to solve this question

leg = \(\sqrt{hypotenuse^2 - leg^2} = \sqrt{(3\sqrt{5})^2 - 6^2} = \sqrt{45 -36} = \sqrt{9} = 3\)

Answer:

b) quotient

Step-by-step explanation:

divisor is the number/value you are dividing with.

A remainder is a number that remains after you divide.

A factor is a number that can divide into a number or numbers without leaving a remainder

Given :

A function , x = 2cos t -3sin t               .....equation 1.

A differential equation , x'' + x = 0      .....equation 2.

To Find :

Whether the given function is a solution to the given differential equation.

Solution :

First derivative of x :

\(x'=\dfrac{d(2cos t - 3sin t)}{dt}\\\\x'=\dfrac{d(2cost)}{dt}-\dfrac{(3sint)}{dt}\\\\x'=-2sint-3cost\)

Now , second derivative :

\(x''=\dfrac{d(-2sint-3cost)}{dt}\\\\x''=-\dfrac{d(2sint)}{dt}-\dfrac{d(3cost)}{dt}\\\\x''=-2cost+3sint\)

( Note : derivative of sin t is cos t and cos t is -sin t )

Putting value of x'' and x in equation 2 , we get :

=(-2cos t + 3sin t ) + ( 2cos t -3sin t )

= 0

So , x'' and x satisfy equation 2.

Therefore , x function is a solution of given differential equation .

Hence , this is the required solution .

The height of the cylinder with radius of 7 yards and given volume of 2,923.34 cubic yards is calculated as; h = 19 yards

A cylinder is defined as a 3D solid shape that consists of two identical and parallel bases linked by a curved surface.

Now, the formula to find the volume of a cylinder is;

V = πr²h

where;

r is radius

h is height

V is volume

The parameters are;

Radius; r = 7 yards

Volume; V = 2923.34 cubic yards

Thus;

2923.34 = π * 7² * h

h = 2923.34/(49π)

h = 19 yards

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Answer: The vertex is (−2, −16).

Use the formula  x

=

−

b/

2

a  to find the maximum and minimum.  (

−

2

,

−

16

)

Step-by-step explanation:  (-2, -16)    

For the equation  y

=

3

x

^2

+

12

x

−

4  , what is the minimum value?

The minimum of a quadratic function occurs at  x

=

−

b

/2

a

. If  a  is positive, the minimum value of the function is  f

(

−

b

/2

a

)

.

f

minx

=

a

x

^2

+

b

x

+

c  occurs at  x

=

−

b

/2

a

Find the value of  x

=

−

b

/2

a

.

Tap for more steps...

x

=

−

2

Evaluate  f

(

−

2

)

.

Tap for more steps...

−

16

Use the  x  and  y  values to find where the minimum occurs.

(

−

2

,

−

16

)

image of graph

Answer: x equals 9

Step-by-step explanation: add 16 to itself to cancel it out. Do the same thing to 20. now your equation is 4x=36. Divide 4x by 4 to cancel out 4. Do the same thing to 36. Now you have x=9.

Step-by-step explanation:

step 1. x > 23 means x values greater than 23 but not equal to 23.

step 2. the graph would have an open circle above 23 and a line with an arrow at the end pointing right.

Answer:A

Step-by-step explanation:

Answer:

= -12x+10

Step-by-step explanation:

Answer:

Its -12

Step-by-step explanation:

its -12 because 8/2-4x8= -20 and 2+6 is 8 then you add -20 by 8 then you have an Answer of -12

The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.

Let's solve the system of linear equations correctly.

The given system of linear equations is:

x = y + 3z = 6

x - 2y = 5

2x - 2y + 5z = 9

To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:

From equation 1, we have:

x = y + 3z

Substituting this value of x in equation 2:

(y + 3z) - 2y = 5

y + 3z - 2y = 5

-z + 3z = 5 - y

2z = 5 - y

Now, let's substitute the value of x in equation 3:

2(y + 3z) - 2y + 5z = 9

2y + 6z - 2y + 5z = 9

11z = 9

Simplifying the equation, we find:

z = 9/11

Now, substituting this value of z back into the equation 2z = 5 - y, we get:

2(9/11) = 5 - y

18/11 = 5 - y

18/11 - 5 = -y

18/11 - 55/11 = -y

-37/11 = -y

y = 37/11

Finally, we can substitute the values of y and z into equation 1 to find the value of x:

x = y + 3z

x = 37/11 + 3(9/11)

x = 37/11 + 27/11

x = 64/11

Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).

The system has exactly one solution.

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If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.

Given that,

the value of sin x = 0.2

We have to find the value of sin(π - x).

We know the trigonometric rule that,

sin(π - x) = sin (x)

for any value of x.

So here whatever the value of x, the value of  sin(π - x) is sin (x) itself.

So here sin x = 0.2.

So, by the rule,

sin(π - x) = sin (x) = 0.2

Hence the value is 0.2.

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Answer:

yes it is a parallelogram because diagonals bisect each other.

Answer:

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

Collinear points are the points on the same line.

There are two lines in the diagram.

The collinear points:

The points that are collinear are  D,G and E  and another set of points which are collinear are L,G and J.

The points which lie on the same straight line are known as collinear points.

Similarly, if three or more number of points are collinear then they form a straight line.

If we observe the figure, the points D,G and E are collinear points as they are on same line.

Similarly the points L, G and H are in the straight line which makes them collinear.

Therefore , the points L,G and J are collinear points.

Hence, the points that are collinear are  D,G and E and another set of points which are collinear are L,G and J

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Step-by-step explanation:

s1 = 5

s2 = s1 × -2 = 5×-2 = -10

s3 = s2 × -2 = -10 × -2 = 20

...

now, we could do all that manually.

but there is also a formula for geometric sequence.

in fact, there are 2 - one for finite and one for infinite sequences.

and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.

since we need the sum of the first 5 terms, which of the 2 do you think we need ?

of course, finite, because 5 is a normal number we can "touch". it is not infinity.

so, the formulas for finite sums of geometric sequences are :

if |r| < 1, Sn = a(1 - r^n)/(1 - r)

if |r| > 1, Sn = a(r^n - 1)/(r - 1)

if r = 1, Sn = na

if r = -1, then Sn = a or 0 depending on if n is odd or even.

the sequence is in general

s1 = a

sn = sn-1 × r

in our case a = 5, r = -2.

so, what form of the formula do we need ?

|-2| = 2, and 2 > 1, so ...

S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =

= 5 × 11 = 55

quick check, as the 5 terms are

5

-10

20

-40

80

and their sum is : 55

correct !

The cost of 1 gallon of apple juice is, $7.32.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The cost of 1/3 gallons of apple juice for $2.44.

Hence, The cost of 1 gallon of apple juice is,

⇒ $2.44 × 3

⇒ $7.32

Thus, The cost of 1 gallon of apple juice is, $7.32.

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Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

1. Mean = 33.61

2. Standard Deviation = 11.3284

3. Variance = 128.33

The given data are: \(22.8, 49.8, 17.5, 44.1, 33.2, 20.6, 43.2, 37.7\)

To get mean, we will sum up all the numbers and divide by the total count. The mean is:

= (22.8 + 49.8 + 17.5 + 44.1 + 33.2 + 20.6 + 43.2 + 37.7) / 8

= 268.9 / 8

= 33.62

Standard Deviation: \(\sqrt((22.8 - 33.61)^2 + (49.8 - 33.61)^2 + (17.5 - 33.61)^2 + (44.1 - 33.61)^2 + (33.2 - 33.61)^2 + (20.6 - 33.61)^2 + (43.2 - 33.61)^2 + (37.7 - 33.61)^2) / 8\)

= \(\sqrt{128.3336}\)

= 11.3284420818

= 11.3284

Variance = (Standard Deviation)^2

Variance = \(11.3284 ^2\)

Variance = 128.33264656

Variance = 128.33.

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Answer:

B and C

Step-by-step explanation:

Answer:

Hello There!

The correct answers are B: The number of bass decreased over time and C: The number of catfish increased over time.

Step-by-step explanation:

This is simply what the chart shows, as well as I got this correct on Edge :)

The fraction of the lemon eaten by Bob is 1 / 3.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Fran baked 12 lemon tarts for her son, Bob. He gobbled up 4 tarts.

The fraction will be calculated as:-

Fraction = 4 / 12

Fraction = 1 / 3

Hence, the fraction will be equal to 1 / 3.

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Answer:

Options (2), (4) and (6)

Step-by-step explanation:

Given system of equations is,

f(x) = x² - 5x + 7

g(x) = 2x + 1

By equating both the functions,

f(x) = g(x)

x²- 5x + 7 = 2x + 1

x² - 5x - 2x + 7 - 1 = 0

x² - 7x + 6 = 0

x² - 6x - x + 6 = 0

x(x - 6) - 1(x - 6) = 0

(x - 1)(x - 6) = 0

x = 1, 6

For x = 1,

g(x) = 2x + 1

g(1) = 2(1) + 1

     = 3

For x = 6,

g(6) = 2(6) + 1

      = 13

Common points (solutions) of both the functions 'f' and 'g' are (1, 3) and (6, 13).  

Both the solutions lie in quadrant 1.

x-coordinate of the solution (1, 3) is x = 1.

y-coordinate of the solution (1, 3) is y = 3.

Therefore, options (2), (4) and (6) are the correct options.

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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The graph of this model would be a straight line that increases only option third is correct.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

We have:

An auto mechanic charges (C) an initial fee of $50 and then $40 per hour.

Let T be the total fee and h is the number of hours

T = 50 + 40h

The above equation represents a graph of a straight line as the slope of the line is positive.

m = 50

Thus, the graph of this model would be a straight line that increases only option third is correct.

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