Which term of the series 5+9+13+is 85

Answer:

8

Step-by-step explanation:

7 cubed would be 343 (smaller than 400)

8 cubed is 512 (fits in the range!)

9 cubed would be 729 (bigger than 600)

Hope this helps :)

The numerical form of the statement is 293 + 312q = 306 and the value of q is 1/24.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A statement 293 is added to the product of 312 and q is the same

as 306.

Now, The numerical form of the statement is,

293 + 312q = 306.

312q = 306 - 293.

312q = 13.

q = 13/312.

q = 1/24.

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Answer:

To estimate the value of (4.532789...)², we can square 4.53 and add the decimal point and digits that come after it:

4.53² = 20.4808

So (4.532789...)² would be approximately 20.4808

Answer:

A) See below

B) It is nonlinear and it is a function

Step-by-step explanation:

A) Go along the bottom and find 1, then go straight up to 8 and plot a point.  Then go along the bottom and find 2,  then go straight up to 6 and plot the second point.  Go along the bottom to 3 and go straight up to 2 and plot the third point.  Lastly, go along the bottom to 4 and go up one and plot a point.

You will see that you graph is not a straight line, so it is nonlinear.

It is a function because every input (x) value, has only one output (y) value.

A system of linear equations for the graph below is y = -3x + 3  Y=1/3x-7

Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter 'm'.

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example,

for the equation

y = 3x – 7,

the slope is 3,

and

the y-intercept is (0, −7).

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Answer:

please see below

Step-by-step explanation:

{10} B

{11} B

Step-by-step explanation:

[tex] \geqslant [/tex]

^ This specific symbol means "Greater Than OR equal to"

Since the number is 14, any number 14 or greater will be a solution

On this problem

16, 18, and 14 are solutions

9 is not a solution

Answer:

The radius is 4

You have to do half what 8 it 4 an that your answer

For the distribution of quiz score if score x = 3 or higher represents the passing grade then number of individual passed is equal to option c. 16.

Distribution of the quiz score :

x :       5      4        3        2         1

f   :      6       5        5       3          2

Here 'x' represents the score in the quiz.

And 'f' represents the frequency of number of individual got the score x.

Score x = 3 or higher is required to pass the grade.

Number of individual who passed the grade is equal to

= Frequency of [ ( x = 5 ) + ( x = 4 ) + ( x = 3 ) ]

= 6 + 5 + 5

= 16

Therefore, option c. 16 represents the number of individuals from the distribution of quiz score has passed the grade.

The above question is incomplete, the complete question is:

For the following distribution of quiz scores, if a score of X = 3 or higher is needed for a passing grade, how many individuals passed?

x :       5      4        3        2         1

f   :      6       5        5       3          2

Which one would it be the correct answer.

a. 3            b. 11          c. 16          d. cannot be determined

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Answer: C

Step-by-step explanation:

x+3>2 and x+3<-2 (flip the sign)

if we solve both of them we get

x < -5 and x > -1

plot on number line accordingly

A plane is traveling at a constant speed of K kilometers per hour. The coordinate represented on the graph is option A: (1,K)

What is speed?

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

The plane is traveling at a constant speed of K kilometers per hour.

K is considered the speed of the plane.

The formula for speed is given as -

Speed = Distance / Time

K = Distance / Time

Distance = K × Time

The value of time is given 1 hour.

Distance = K × 1

Distance = K miles

Therefore, k miles will be traveled in one 1 hour and ordered pair of the given point on the line will be (1, k).

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Answer:((3.14) * (9) * (18))/2 (the last option)

Step-by-step explanation:

V = 1/2 * πr²h

V = 1/2 * π (3^2) 18

V = 1/2 * (3.14) * (9) * (18)

V = ((3.14) * (9) * (18))/2

Answer:

750%

Step-by-step explanation:

Number lines shows the represents the point

But 1000 - 250 %

And the answer is 750%

Answer:

Step-by-step explanation:

It should be noted that based on the information given, the values of x and y in the linear pattern will be 12 and 21.

How to illustrate the information?

It should be noted that since this is a linear pattern, it should be noted that it illustrates that the values in between them are the same.

It should be noted that the numbers that fits into the scenario are 3, 12, 21 and 30. There's a difference of 9 between them.

Therefore, it should be noted that based on the information given, the values of x and y in the linear pattern will be 12 and 21.

                                  GREAT IM DONE

Answer:

see below

Step-by-step explanation:

Associative property of addition: Changing the grouping of addends does not change the sum.

e.g.,( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis.

Associative property of addition: Changing the grouping of addends does not change the sum.

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The value of ED = 150 m if Triangle ABC and Triangle DEC are similar.

What is triangle ?

Triangle can be defined in which it consists three sides, three angles and sum of three angles is always 180 degrees.

Given ,

Triangle ABC and Triangle DEC are similar.

Let AB = 1.25 m

BC   = 1.5 m

BD = 181.5 m

Then,

CD = BD - BC

= 181.5 - 1.5

CD = 180 m

So,

we know that ,

AB / ED = BC / CD

1.25 / ED = 1.5 / 180

1.5 ED = 180 * 1.25

ED = 180 * 1.25 / 1.5

ED = 150 m .

Therefore, The value of ED = 150 m if Triangle ABC and Triangle DEC are similar.

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Answer:

  a. y = -x +2

  b. x appears to the first power (only)

Step-by-step explanation:

You want an equation and an explanation of why it is linear for the rule "input: x; output: y, 2 more than -1 times x".

The given wording tells you what the equation is:

  y = 2 + (-1·x) . . . . . . 2 more than -1 times x

  y = -x +2 . . . . . simplified

The equation is a linear equation because the variable x only shows up to the first power.

Answer:

No real solutions

Step-by-step explanation:

[tex]x^2-12x+40=0 \\ \\ x^2-12x=-40 \\ \\ x^2-12x+36=-4 \\ \\ (x-6)^2=-4[/tex]

By the trivial inequality, there are no real solutions.

Differentiation from First Principles is a formal method for determining a tangent's gradient.

What is meant by differentiation?

Finding a function's derivative is the process of differentiation. It is also the process of determining how quickly a function changes in relation to its variables.

According to the Sum rule, a sum of functions' derivatives equals the sum of those functions' derivatives. The derivative of two different functions is the difference of their derivatives, according to the Difference rule.

Differentiation from First Principles is a formal method for determining a tangent's gradient. The straight line connecting any two locations on the curve that are fairly near to one another will have a gradient that is similar to that of the tangent at those places.

s(t) = ∫vdt = ∫sin(πt)dt = (-cos(πt))/π + c

substituting the values t = 3, we get

s(-3) = (-cos(-3π))/π + c = 0

simplifying the above equation, we get

(-cos(3π))/π + c = 0

1/π + c = c

c = -1/π

Therefore, the correct answer is s(t) = (-cos(πt))/π - 1/π = (-cos(πt) - 1)/π.

The complete question is:

Given the velocity v=ds/dt and the initial position of a body moving along a coordinate line, find the body's position at time t. v=sin(pi*t), s(-3)=0

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With two gallon of milk can be made 256 serving

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1 gallon is equal to 16 cups, so:

2 gallons * (16 cups/1 gallon) = 32 cups

A mixed operation is solved as follows:

For the denominator: the same denominator is placed.

For the numerator:

1 1/4 =

[(4*1)+1]/4 =

(4+1)/4 =

5/4

Number of serving = (32 cup * 10 serving) / 5/4 cups

Number of serving = 256 serving

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Correctly written question:

A recipe uses 1 1/4 cups of milk to make 10 servings. If the same amount of milk is used for each serving how many servings can be made using two gallon of milk?

To convert an area from inches to centimeters, conversion factor should be 15.24 square centimeters.

To convert an area from inches to centimeters, we use the conversion factor of 2.54 cm per inch.

This means that for every inch, there are 2.54 centimeters. In order to find the area in centimeters, we first need to find the area in inches, and then multiply it by 2.54.

To find the area, we use the formula
=> area = length x width.

Let's say the length of a rectangle is 2 inches and the width is 3 inches. The area of this rectangle would be 6 square inches

=> (2 x 3 = 6).

To convert this area to square centimeters, we multiply the area in inches by 2.54.

So,

=> 6 square inches x 2.54 = 15.24 square centimeters.

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Total number of ways to get from bottom left cell to the top right cell in a  13 × 13 grid using move two cells up or three cells to the right is equal to    2 ways.

Size of the grid is 13 × 13.

Number of rows = 13

Number of columns = 13

Condition for the movement is two cells up or three cells to the right direction.

Here neither 2 nor 3 is a multiple of 13.

It is not possible to divide 13 by any one.

First way of movement is:

Four movement of three cells to the right and then six movement of two cells up.

Second way:

And three cells right →two cells up→ three cells right →two cells up→ three cells right →two cells up→ three cells right →two cells up three times.

Therefore, the number of ways in the 13 × 13 grid to move from bottom left cell to top right cell is 2 ways.

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Each will have picked 19, and 19 baskets.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

John and his cousin Abby are picking apples in their grandparents' orchard.

John has filled 13 baskets with apples and is filling them at a rate of 3 baskets per hour.

Abby has 7 full baskets and will continue picking at 6 baskets per hour.

John is at 13+3x, starting now at t=0

Abby is at 7+6x.

Once the cousins get to the point where they have filled the same number of baskets, they will carry them to the barn and then eat lunch.

Set them equal

13+3x = 7+6x

x=2 hours from now.

Each will have picked 13+3(2)=19, and 7+6(2)= 19 baskets.

Therefore, all the required values are given above.

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The change in momentum experienced by the object is <0,-4,-5> kg m/s.

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The probability that the first ball is red and the second one is blue is 0.3.

This is calculated by first finding the probability of drawing a red ball, which is 3/5, and then the probability of drawing a blue ball after a red ball has been removed, which is exactly evaluated as 1/4. To find the combined the probability, we multiply the two probabilities: 0.3 = (3/5) * (1/4). This means that if we perform this experiment many times, on average, we would expect to draw a red ball first followed by a blue ball in 30% of the trials.

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The heat lost when the temperature difference is 15 degrees Celsius and thickness 0.2 cm is 5625 Calories.

The heat lost through the window is calculated by determining the value of constant in the joint variation.

h = ( kdA / t )

where;

k = ( ht ) / ( dA )

k = ( 9000 x 0.25 ) / ( 30 x 1500 )

k = 0.05

The heat lost when the temperature difference is 15 degrees Celsius and thickness 0.2 cm is calculated as;

h = ( kdA / t )

h = ( 0.05 x 15 x 1500 ) / ( 0.2 )

h = 5,625 calories

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The point is a solution to the system of linear equations is (3/4, 1/4).

A system of linear equations consists of two or more equations, each of which has two or more variables, all of which are taken into account concurrently. Any ordered pair that satisfies each equation separately is the solution to a system of two-variable linear equations.

Let the equation be

x + y = 1 ------(1)

3x - y = 3 ------(2)

Add equation (1) and (2), we get

x + y + 3x - y = 1 + 2

simplifying the equation, we get

⇒ 4x = 3

⇒ x = 3/4

Put x = 3/4 in equation (1), then

3/4 + y = 1

simplifying the equation

y = 1 - 3/4

y = 1/4

(x, y) = (3/4, 1/4)

The conclusion is that (3/4, 1/4) is the solution to the system of linear equations.

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Step-by-step explanation:

Let the number be [tex]\overline{abc}=100a+10b+c[/tex].

[tex]100a+10b+c=34a+34b+34c \\ \\ 66a-24b-33c=0 \\ \\ 22a-8b-11c=0[/tex]

Taking the equation mod [tex]11[/tex] yields [tex]-8b \equiv \pmod{11}[/tex], meaning [tex]b=0[/tex].

So, [tex]22a-11c=0 \implies c=2a[/tex].

So, the only possibilites are [tex](a,c)=(1,2), (2,4),(3,6), (4,8)[/tex].

Therefore, there are [tex]4[/tex] such numbers.

The tilde approximation of the growth function f(n) = n + 5n^4 + nlg(n) is ~5n^4.

The tilde notation is used to describe the asymptotic behavior of a function, which means how the function grows relative to other functions as the input gets very large.

To determine the tilde approximation of the function f(n) = n + 5n^4 + nlg(n), we need to identify the term that grows the fastest as n becomes very large.

Analyze the first term: n. As n gets larger, the term n becomes relatively smaller compared to the other terms in the function.

Analyze the second term: 5n^4. This term grows much faster than the first term as n becomes larger.

Analyze the third term: nlg(n). The logarithmic term grows slower than the polynomial term, meaning that it becomes relatively smaller as n becomes larger.

Based on the analysis above, we can conclude that the dominant term in the function is 5n^4.

Therefore, the tilde approximation of the function f(n) = n + 5n^4 + nlg(n) is ~5n^4, meaning that the function grows approximately as n^4 when n becomes very large.

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The required volume of the gas that can fit in the cylindrical tank is given as 6154.4 cubic feet.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,

Radius = 14/2 = 7 feet
The volume of the cylinder is given as,
= πr²h
= 3.14 × 7 ² × 40
= 6154.4 cubic feet

Thus, the required volume of the gas that can fit in the cylindrical tank is given as 6154.4 cubic feet.

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