Write the equation of a line that includes the point (1, 5) and has a slope of 3 in slope-intercept form

The extra number of people that should be engaged to reap the field in 10 days is given by A = 21 people

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the extra number of people that should be engaged to reap the field in 10 days be represented as A

Now , the number of people that should be engaged to reap the field in 10 days = n

The number of people that can reap the field in 17 days = 30 persons

So , the proportion is

30 x 17 = n ( 10 )

On simplifying , we get

Divide by 10 on both sides , we get

n = ( 30 x 17 ) / 10

n = 3 x 17

n = 51

And , the number of extra persons A = n - 30

So , the extra number of people that should be engaged to reap the field in 10 days A = 21 people

Hence , the proportion is A = 21 people

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The concept time and work is used here to determine the number of people required to reap the same field in 10 days. The number of people required is 51.

The time and work represents the time taken by an individual or a group of individuals to complete a piece of work and the efficiency of the workdone by each of them.

If 30 persons can reap a field in 17 days

1 person can reap = 30 × 17 = 510 days

In 10 days, number of persons needed = 510 / 10 = 51 persons

Thus 51 persons can reap the field in 10 days.

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Using scientific notation it is found that the diameter of a red blood cell in human blood is of:

\(7 \times 10^{-3}\) mm.

A number in scientific notation is given by:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\).

In this problem, the diameter is of 0.007 mm, hence:

\(0.007 = 0.07 \times 10^{-1} = 0.7 \times 10^{-2} = 7 \times 10^{-3}\)

Hence in scientific notation, the diameter is:

\(7 \times 10^{-3}\) mm.

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Answer: 166,400,000 1000 bills

$166,400,000,000

Answer:

166,400,000

sry for answering late!

Answer:

- 28

Step-by-step explanation:

Determinant of matrix J is

- 2(5) - 3(6) = - 28

Answer:

option 6b):) is correct

Answer:

Therefore, based on the given scatter plot, the set of numbers that matches the points is C. 8,9,8,10,8,11.

Step-by-step explanation:

The scatter plot shown represents a set of nine points on a coordinate plane. Each point consists of an x-coordinate and a y-coordinate. To determine which set of numbers corresponds to the scatter plot, we need to analyze the pattern in the given points.

Looking at the scatter plot, we observe that the x-coordinates range from 0 to 10 with an increment of 1, while the y-coordinates seem to vary.

Now let's examine the given answer choices:

A. .4,4,5,5,6,6

B. .4,10,4,11,4,12

C. 8,9,8,10,8,11

D. 10,10,10,11,10,12

Set C (8,9,8,10,8,11) among these answer choices matches the pattern observed in the scatter plot. The x-coordinates in the scatter plot range from 0 to 10, and the y-coordinates correspond to the numbers provided in set C.

Therefore, based on the given scatter plot, the set of numbers that matches the points is C.

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Answer:

  8.5 years

Step-by-step explanation:

You want to know the number of years until 18500 depreciates to 9100 at the rate of 8% per year.

The depreciation rate given as a percentage of current value tells you the depreciation is exponential. The formula will be ...

  value = (initial value) × (1 - (depreciation rate))^t

where the rate is "per year" and t is in years.

  value = 18500·(1 -0.08)^t

  9100 = 18500·0.92^t . . . . fill in the value of interest

  9100/18500 = 0.92^t . . . . divide by 18500

  log(91/185) = t·log(0.92) . . . . take logarithms

  t = log(91/185)/log(0.92) ≈ -0.3081/-0.03621 ≈ 8.509

It will be about 8.5 years until the value is $9100.

__

Additional comment

The graph shows the solution to ...

  18500·0.92^t -9100 = 0

We find it fairly easy to locate an x-intercept, so we wrote the equation in the forms that makes the x-intercept the solution.

The order of processes that support the central dogma are:1.DNA replication: the process by which DNA makes a copy of itself.

2.Transcription: the process by which RNA is synthesized from a DNA template.

3.Translation: the process by which proteins are synthesized from RNA templates.

The central dogma of molecular biology describes the flow of genetic information within a biological system. The method by which DNA instructions are translated into useful products is known as the "Central Dogma." Francis Crick, who discovered the structure of DNA, first put up the idea in 1958.

The order of processes that support the central dogma are:

1.DNA replication: the process by which DNA makes a copy of itself.

2.Transcription: the process by which RNA is synthesized from a DNA template.

3.Translation: the process by which proteins are synthesized from RNA templates.

In summary, the central dogma can be described as follows: DNA is replicated to make more DNA, DNA is transcribed into RNA, and RNA is translated into proteins.

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Answer:

P = 8000\((1 + .04)^{t}\)   where t is the number of years

Step-by-step explanation:

Given the expression to find the total cost of seeds, 1 2 (2. 48g + 1. 74m + 1. 96z), where Bella bought g packets of geranium seeds, m packets of marigold seeds, and z packets of zinnia seeds.

To find an expression without parentheses that also represents Bella's total cost at the Garden Mart, we need to distribute the fraction in the parentheses, i.e., multiply 1/2 by each term in the parentheses. This is shown below;1/2 * 2.48g + 1/2 * 1.74m + 1/2 * 1.96zThen simplifying this expression, we get,1.24g + 0.87m + 0.98zTherefore, the expression without parentheses that also represents Bella's total cost at the Garden Mart is 1.24g + 0.87m + 0.98z. Hence, this is our final answer.

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Answer:

-2x(x^2+2x+3)

Step-by-step explanation:

-2x^3-4x^2-6x

You can only factor out the 2x the other part is not factorable.

Answer:

12 sunny days

Step-by-step explanation:

(a) The percentage of people that left the event in the afternoon is 8%

(b) The total number of people that were there at the start of the fund-raising event were 68.

Let x be the number of people at the start of the event. Then, 0.6x were males and 0.4x were females.

In the afternoon, 0.2 * 0.4x = 0.08x females left the event.

So, there were 0.4x - 0.08x = 0.32x females left at the event.

In the evening, 33 + 35 = 68 people left the event, and x - 68 people were left.

Out of the x - 68 people, 0.6(x - 68) were males.

So, we have 0.75 * (x - 68) = 0.6 * (x - 68).

We can now solve for x:

0.75 * (x - 68) = 0.6 * (x - 68)

0.15 * (x - 68) = 0

x - 68 = 0

x = 68

Thus, there were 68 people at the start of the fund-raising event.

(a) The percentage of people who left the event in the afternoon was 0.08x / x * 100% = 0.08 * 100% = 8%.

(b) There were 68 people at the start of the fund-raising event.

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Answer:

\((2.7,-1.5)\)

Step-by-step explanation:

The points are \(A(-2.6,1.5), B(-2.6,3.3), C(2.7,3.3)\)

The fourth vertex will can be found by the points \(A\) and \(C\).

The angles between the sides of a rectangle are \(90^{\circ}\).

The \(x\) coordinate will be the same as \(C\) and the \(y\) coordinate will be the same as \(A\). The fourth verex is \(D\).

So, the fourth vertex of the rectangular piece will be \((2.7,-1.5)\).

Answer:

Inequality Notation: x≥-4

Step-by-step explanation:

An inequality is a mathematical statement that compares two expressions using the ideas of greater than or less than.

Solve 5x+2≥−18.

Subtract 2 from both sides.

5x+2−2≥−18−2

5x≥−20

Divide both sides by 5.

\(\frac{5x}{5}\)

x≥-4

Answer:

red

Step-by-step explanation:

1 and 21  1 1 1 1 1111111111

= 2 π r

Answer: The formula to find the circumference C of a circle of radius r is C = 2 π r.

Answer:

x = 3.6

Step-by-step explanation:

-3 (5 - 2x) = 3

use the distributive property

-15 + 5x = 3

+15          +15

5x = 18

divide by 5

x = 3.6

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-Lil G

Answer:

The sum of a number and ten

A number plus ten

Ten more than a number

Step-by-step explanation:

edg

Answer:

D -3/2

Step-by-step explanation:

The solutions are x = -3 and x = 3/2, however, you can solve this as well by looking at part of the quadratic formula:

\(x_1+x_2 = \frac{-b + \sqrt{b^2-4ac}}{2a} + \frac{-b - \sqrt{b^2-4ac}}{2a} = \frac{-b}{a}\)

the formula implodes when you add the roots!

The volume of the composite solid is 132.65 \(m^3\)

A composite solid's volume is the total amount of space it takes up. It is computed either by disassembling it into simpler shapes or by adding up the volume of each of its constituent parts. Adding or subtracting volumes of various geometric shapes may be part of the calculation process, which depends on the solid's specific composition.

Each component's volume can be calculated using the volume formulas for simple shapes like cubes, spheres, cylinders, and cones, and the overall volume of the composite solid can then be calculated.

To find the volume of the composite solid:
1. Identify the shape of the solid: Since all three dimensions (5.1m, 5.1m, and 5.1m) are equal, this is a cube.
2. Calculate the volume: The formula for the volume of a cube is V = \(side^3\)3, where "side" is the length of one side.
3. Plug in the dimensions: V = \((5.1m)^3\)= 5.1m * 5.1m * 5.1m =\(132.651m^3\).
4. Round to the nearest hundredth: The volume rounded to the nearest hundredth is \(132.65 m^3\).

So, the volume of the composite solid is \(132.65 m^3\).

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Answer:

\(\displaystyle 2\frac{3}{8}\)

Step-by-step explanation:

\(\displaystyle \frac{19}{8}\)

\(\displaystyle\mathrm{Convert\:to\:mixed\:number:\:Quotient=\frac{Remainder}{Divisor}}\)

\(\displaystyle \frac{19}{8}=2\)

\(\mathrm{Remainder}= \:3\)

\(\displaystyle\frac{19}{8}=2\frac{3}{8}\)

Answer:

2 3/8

Step-by-step explanation:

19/8= (8*2+3/)8=2 + 3/8= 2 3/8

The number we need is 14

Given : 6+?+12-2=30

Let the unknown be represented as x, such that

We now solve left hand side first., taking like terms , leaving x alone to be found.

6+x+12-2=30

16+x=30

x=30-16

x=14

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Answer:

5/36

Step-by-step explanation:

Dice 1 cannot be 1 no matter how large dice 2 gets

Dice 1 = 2,3,4,5,6 each matches with dice 2 to get a sum of 8

Answer:

28

Step-by-step explanation:

find 35% off 80 cakes

35% * 80

Converting percent to decimal:

35%/100 = 0.35

0.35 * 80

28

Therefore the baker sold 28 cakes out of the 80 cakes she baked. Hope this helps!

I think 35% of 80 is 28.

Step-by-step explanation:

....

Answer:

137 + x <= 170

Step-by-step explanation:

The following inequality will describe this scenario.

137 + x <= 170

the variable x in this scenario represents the total number of cars that you will purchase. This number is added to the number of toy cars that you already own which is 137. As long as this sum is less than or equal to 170 then your storage case will hold them.

From the probability, the quantity of various passwords that are conceivable assuming each character might be any lowercase letter or digit is 2,821,109,907,456 passwords

The most effective method to ascertain the probability

The accompanying information can be concluded:

Number of lower case letters = 26

Number of digits = 10

Total Characters = 26 + 10 = 36

Length of secret word = 8

The quantity of various passwords are conceivable assuming each character might be any lowercase letter or digit will be:

= (26+10)⁸ various passwords

= 2,821,109,907,456 passwords

The quantity of various passwords that are conceivable assuming each character might be any lowercase letter or digit, and something like one person should be a digit will be:

= 36⁸ - 26⁸

= 2,612,282,842,880 passwords

Finally, the probability that a substantial secret phrase will be produced will be:

= (36⁸ - 26⁸)/36⁸

= 0.93

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Answer:

10 inches

Step-by-step explanation:

The top of the jack is 10 inches from ground.

A parallelogram is a two-pair quadrilateral with parallel sides. A parallelogram has opposite sides that are the same length and have opposite angles that are the same size. Additionally, the interior angles on the same transversal side are supplemental. 360 degrees are the sum of all the interior angles.

A parallelepiped is a three-dimensional shape with parallelogram-shaped faces.

Given Jack is in shape of parallelogram,

height of crank of jack from ground  = 5 inches

to find the distance from ground to top of jack

since crank is at centre of jack and bottom  to top of jack makes the diagonal of parallelogram,

distance from crank to top of jack is 5 inches,

because The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal.

total length from ground is 5 + 5 = 10 inches

Hence length from ground to top of jack is 10 inches because diagonals bisect each other.

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Answer:

1 and 1/6 or 7/6

Step-by-step explanation:

Answer:

7/6

Step-by-step explanation:

=5/6+2/6

=5/6+1/3

7/6

Check the picture below.

Answer:

70.8

Step-by-step explanation:

Answer:

1ft = 0.000189394 miles

Step-by-step explanation:

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Therefore, for every one foot it is equivalent to 0.000189394 miles.