from the beginning of the second trimester a pregnant woman needs approximately an additional how many calories a day? responses 100 100 300 300 800 800 1,000

Therefore ,as a result, 42/5 is the value of the first term in the equation for the arithmetic mean.

The arithmetic average or means of the group is calculated as the sum of each value in a list divided by the total number of things in that list. The progression in mathematics is the same as this. The average of the integers 5, 7, and 9 is 4, as shown by the equation 5 + 7 + 9 being equal to 21, and 21 divided by 3 (there are actually three numbers) being equal to 7.

Here,

Given :

5 a + 10 d = 70 in the first five terms (1)

The first ten terms add up to 10 a + 45 d = 210. (2)

This means that in order to solve the system for a, multiply equation (1) by 2, then subtract it from equation (2):

=> 10a - 10a + 45d - 20d = 210-140

=> 25d = 70

=> d = 70/25

=> d = 14/5

A value then becomes:

5a + 10*14/5 = 70;

5a = 70-140/5;

5a = 350-140/5;

a = 42/5.

42/5 is the response.

As a result, 42/5 is the value of the first term in the equation for the arithmetic mean.

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Answer: The measure of an exterior angle of a regular polygon is given by the formula:

(n-2) * 180 / n

Where n is the number of sides of the polygon.

So, if the measure of an exterior angle of a polygon is 36 degrees, we can set up the equation:

(n-2) * 180 / n = 36

To find the measure of an interior angle, we can use the formula:

(n-2) * 180 / n = (n-2) * 180 / n

So, if the measure of an exterior angle is 36, the measure of an interior angle would be:

(n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n

To find the number of sides, we can use the formula:

n = (180 / (180-x))

So, if the measure of an exterior angle is 36, the number of sides would be:

n = (180 / (180-36)) = (180 / 144) = 5

Therefore, a regular polygon with an exterior angle measure of 36 degrees has 5 sides and an interior angle measure of 144 degrees.

Step-by-step explanation:

Answer:

$240

Step-by-step explanation:

To calculate the interest, you need to multiply the principal (the amount financed, $4,000.00) by the interest rate (2%) and the number of years (3).

So, the interest would be: $4,000.00 x 0.02 x 3 = $240.00

The contractor would pay $240.00 in interest over the course of the 3-year financing.

If to the nearest whole number, then 2. If to the nearest tenth, then 1.5.

0.579 + .94 is 1.519.

When rounding to the nearest whole number, if the first number after the decimal point is 5 or higher, round up. If 4 or lower, then round down.

A triangle with the lengths of the sides 6cm , 8cm , and 10cm is a right angled triangle using Pythagoras theorem.

As given in the question,

In the given triangle,

lengths of the sides of the triangle is given by :

6cm , 8cm , and 10cm

In the given measurement longest side is 10cm.

Using Pythagoras theorem :

( Hypotenuse ) ² = (Base)² + ( Altitude)²

Here

( 6 )² + ( 8 )²

= 36 + 64

= 100

= 10²

It satisfy the condition of Pythagoras theorem.

It is a right angled triangle with hypotenuse = 6cm.

Therefore, the given lengths of the sides of the triangle represents it is a right angled triangle.

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Answer:

Step-by-step explanation:

The constant of proportionality from the number of bottles of juice bought to the total cost is 1.15 dollars and cents.

Answer:

y = -[tex]\frac{9}{7}[/tex] + [tex]\frac{8}{7}[/tex]

Step-by-step explanation:

Answer:

y = [tex]-\frac{9}{7} x +\frac{8}{7}[/tex]

Step-by-step explanation:

To turn the coordinates into y=mx+b, you first need the slope, m.

To find that you would use [tex]m = \frac{y2 - y1}{x2 - x1}[/tex],

Let (-3, 5) = (x2, y2)

and (4, -4) = (x1, y1)

[tex]m = \frac{5 - (-4)}{-3 -4}[/tex]

or, [tex]m = -\frac{9}{7}[/tex].

Now you have the slope, you will need the y-intercept, b, which you will need to use the point-slope formula (y - y2) = m(x - x2) and plug one of the points and slope into the equation (It does not matter which point you use).

So, (y - 5) = [tex]-\frac{9}{7}[/tex](x - (-3) or (y - 5) = [tex]-\frac{9}{7}[/tex](x + 3)

Then you would distribute the -9/7 to the (x + 3),

which turns into

(y - 5) = [tex]-\frac{9}{7}x[/tex] + ([tex]-\frac{9}{7}[/tex])3

y - 5 = [tex]-\frac{9}{7} x -\frac{27}{7}[/tex]

After that , add 5 from both sides,

y - 5 = [tex]-\frac{9}{7} x -\frac{27}{7}[/tex]

 + 5               +5

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

y = [tex]-\frac{9}{7} x +\frac{8}{7}[/tex]

And that should be in y=mx+b form!

Hope it helps!

On solving the provided question, we can say that by linear equation we have 2.5x * cereals = y

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3.

2.5 cups of this particular cereal,

the following linear equation, you could calculate how many calories and grams of fiber you were eating.

let x = cereals we eat y = calories

so, equation - 2.5x * cereals = y

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A visual representation of data where numbers on the left side of a chart show one part of each value and numbers on the right side of the chart show the other is called a bar chart. A bar chart is a chart that uses rectangular bars to represent different values or categories. Each bar has a length that represents a value or a category. The left side of the chart is called the y-axis, or the vertical axis, and the right side of the chart is called the x-axis, or the horizontal axis. The x-axis typically shows the categories, and the y-axis shows the values of those categories. The height of each bar represents the value of the data point, with the height on the y-axis and the categories on the x-axis. This type of graph is useful for comparing the relative sizes of different groups or categories, as well as spotting trends and patterns.

Giselle worked 12 hours as a carpenter

She also worked 18 hours as a blacksmith

Giselle worked as both a carpenter and a blacksmith

She earned $20 per hour working as a carpenter

She also earned $25 per hour working as a blacksmith

She worked for 30 hours to earn $690

Let x represent the number of hours that she worked as a carpenter

Let y represent the number of hours that she worked as a blacksmith

x + y= 30........equation1

20x + 25y= 690......equation 2

From equation 1

x + y= 30

x= 30-y

Substitute 30-y for x in equation 2

20(30-y) + 25y= 690

600-20y+25y= 690

collect the like terms

600+5y=690

5y= 690-600

5y= 90

y= 90/5

y= 18

Substitute 18 for y in equation 1

x+y= 30

x+18= 30

x= 30-18

x= 12

Hence Giselle worked 12 hours as a carpenter and 18 hours as a blacksmith

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The total interest for the loan is given as follows:

46,875.

The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation presented as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are explained as follows:

The interest amount is the subtraction of the balance by the principal, hence it's formula can be simplified as follows:

I(t) = Prt.

The values of the parameters for this problem are given as follows:

P = 125000, r = 0.075, t = 5.

Hence the interest amount is given as follows:

I(5) = 125000 x 0.075 x 5

I(5) = 46,875.

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Answer:

the answer is 45 cm^2

how many questions are left lol

No , half and halve represents different forms which is given by :

Half represent the noun form , adjective form or the adverb form where as halve represents the verb form.

Difference between half and halve is as follow :

Therefore, half and halve are not same they represents different forms which is given by : half is the noun form , adjective form or the adverb form where as halve represents the verb form.

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The slope of the curve at a point (x,y) is given as 3y. This means that the equation of the curve is in the form of y = mx + b, where m is the slope of the curve and b is the y-intercept.

Since the curve passes through the point (4,2), we can use this point to find the value of b:

y = mx + b

2 = 3(4) + b

b = -10

So the curve's equation is: y = 3x - 10

You can confirm this by plugging in the point (4,2) into the equation.

2 = 3(4) - 10

2 = 12 - 10

2 = 2

The sales commission the clerk will receive if she sells the ring at a markdown of 10% is $61.87.

Sales commission is a percentage of the sales price paid to salespeople as an incentive to drive more sales for the organization.

The markdown price is the reduced selling price of an item.

It is determined by subtracting a stated percentage from the regular retail price.

Retail prices may be marked down to encourage customers' patronage during low sales periods.

The normal selling price of the ring = $549.99

Special promotion markdown = 10%

Marked-down price = $494.99 ($549.99 x 1 - 10%)

Sales commission in percentage = 12.5%

Sales commission in dollars = $61.87 ($494.99 x 12.5%)

Thus, the sales clerk will receive $61.87 in sales commission for selling the ring.

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Answer:

Parallel: y= -(7x/3)-20

Perpendicular: y= 3x/7 - 24/7

Step-by-step explanation:

Slope of parallel line: -7/3

So the equation is y=-7x/3+a

Solve for A:

−6=(−7/3)⋅(−6)+a

So A is -20 and the equation is y=-7x/3=20

Slope of perpendicular line: 7/3

So the equation is y=3x/7 + a

Solve for A:

-6=(3/7)*(-6)+a

Therefore, a= -24/7

So the equation is y= 3x/7 - 24/7

Answer:

Equation of the parallel line: [tex]y = -\frac{7}{3}x - 20[/tex]

Equation of the perpendicular line: [tex]y = \frac{3}{7}x - \frac{24}{7}[/tex]

Step-by-step explanation:

To find the equation of a parallel line, we already know that the slope is the same as the original line, so let's find the equation of our original line. We are given:

-7x - 3y = 5

So, we will add 7x to both sides to leave y on a side by itself:

-3y = 7x + 5 (This is the slope-intercept form which is what we will be using)

Then, divide by -3 to isolate y, giving us:

[tex]y= -\frac{7}{3} x - \frac{5}{3}[/tex]

Since it is a parallel line, our slope is the same, giving us:

[tex]y = -\frac{7}{3}x + b[/tex]

Now, the slope of a line is [tex]\frac{rise}{run}[/tex]. Rise is the gain in y, and run is the gain in x. So, since we want to find the y-intercept, we need x to be 0, so let's say for every 3 we gain on the x-axis, we lose 7 on the y-axis (because we need one of the two values to have a negative so that our overall fraction is negative). Now, since we have the point (-6, -6) We need to gain 6 on the x-axis. Meaning, we need to use our slope twice. This means that we will need to also multiply our -7 by 2. So we have:

(-6 + 6, -6 - 14)

Giving us:

(0, -20)

Which is our y-intercept. So our equation for the parallel line is:

[tex]y = -\frac{7}{3}x - 20[/tex]

Now, for the perpendicular line, we need to get the negative reciprocal of the slope of our original line. Our original line's slope was [tex]-\frac{7}{3}[/tex]. So, the negative reciprocal of that is [tex]\frac{3}{7}[/tex]. So, our equation is:

[tex]y = \frac{3}{7}x + b[/tex]

Now, we will find the y-intercept. Since we need to gain 6 on the x-axis, but we have a normal gain of 7, we will need to multiply both our run and rise (3 and 7 respectively) by [tex]\frac{6}{7}[/tex]. Giving us that our x coordinate is:

[tex](-6 + 7 * \frac{6}{7} , -6 + 3 * \frac{6}{7} )[/tex]

Simplifying gives us:

[tex](-6 + 6 , -6 + \frac{18}{7} )[/tex]

Adding the x coordinates gives us:

[tex](0, -6 + \frac{18}{7})[/tex]

Now, to make this simple, we will put -6 over 7. To achieve this, we will need to multiply -6 by 7, giving us -42. So, we have:

[tex](0, -\frac{42}{7} + \frac{18}{7})[/tex]

42 - 18 = 24. So, we get:

[tex](0, -\frac{24}{7})[/tex]

So, the slope of the perpendicular line is:

[tex]y = \frac{3}{7}x - \frac{24}{7}[/tex]

So, these are the two equations of the parallel and perpendicular lines respectively:

Parallel: [tex]y = -\frac{7}{3}x - 20[/tex]

Perpendicular: [tex]y = \frac{3}{7}x - \frac{24}{7}[/tex]

Hope this helped!

Isabelle concluded that the sample maximum is an unbiased estimator of the population maximum.

Value is a term used to describe the worth of something. It can refer to monetary value, but it can also be used to describe the worth of intangible things such as relationships, ideas, and experiences. Value creates an understanding between two parties, as each may have a different opinion on what something is worth. It can be seen as an exchange or trade of something that both parties consider to be of equal or greater value.

This conclusion is supported by the high number of samples that had a maximum value of 999999. The dotplot shows that the sample maximum was 999999 in over 95% of the trials. The other samples had maximum values that were lower, but still close to the true maximum of 999999. This indicates that the sample maximum did not systematically overestimate or underestimate the population maximum.
The sample maximum was also consistent across the different trials, with the majority of the samples having a maximum value near 999999. This consistency indicates that the sample maximum is a reliable estimator of the population maximum. While there is always a chance that the sample maximum may deviate from the population maximum, the results suggest that the sample maximum is unbiased and reliable for estimating the population maximum.

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The discount given on the cost of the meal is $15

When a government imposes an obligational fee or financial charge on an individual or group in order to raise funds for public projects that support the best facilities and infrastructure, the action is referred to as a tax.

step1

According to the question, we are given the following information

The original cost of the meal = $75

Off coupon = 20%

step2

Required

The number of coupons given

coupon amount = 0.2 * 75

coupon amount = $15

Hence the discount given on the cost of the meal is $15

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If the original price was $75 and Fatima used a 20% coupon, then Fatima saved $15.

    0.20 x 75 = 15

This means the cost of the meal that was taxed was a $60 meal.

Now we also know that after tax, the price of the meal came back to a $75 cost.  This means that the amount of tax was also $15, but it's a $15 tax on a $60 meal, so this is a 25% tax.

    $15 tax / $60 meal = 0.25 = 25%

The trick here is that in the beginning, the savings is based on the $75 meal, while the tax is based on a $60 meal, so the percentages are not the same.

Answer: An array is a visual representation of a multiplication problem, and an area model is a way to represent a multiplication problem using rectangles. Both arrays and area models can be used to find factor pairs of a number.

Here's an example of how to use an array to find the factor pairs of 12:

Draw a rectangle that represents 12.

Divide the rectangle into smaller rectangles by drawing rows and columns.

Fill in the rectangles with the numbers 1 through 12.

Find the factor pairs by looking for the rectangles that have the same area as the original rectangle, 12.

The factor pairs of 12 are 1 and 12, 2 and 6, and 3 and 4.

Here's an example of how to use an area model to find the factor pairs of 12:

Draw a rectangle that represents 12.

Divide the rectangle into smaller rectangles by drawing rows and columns.

Label the rectangles with the factors of 12, which are 1, 2, 3, 4, 6 and 12.

Find the factor pairs by looking for the rectangles that have the same area as the original rectangle, 12.

The factor pairs of 12 are 1 and 12, 2 and 6, and 3 and 4.

Both arrays and area models are an effective way of finding the factor pairs of a number because they help you to visualize the multiplication problem and to see the relationship between the factors and the product.

Step-by-step explanation:

The required time for Cormac to catch Leif is, 2.85 minute

The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.

Distance = Time × Speed

Given that,

Cormac runs at a speed = 105 m/minute

Leif runs at a speed = 65 m/minute

Leif is 100 m away from the Cormac,

So, total distance covered by Leif =  100 + Distance covered After Cormac started

Distance covered After Cormac started = 65t

Distance covered by Cormac =  100t

To catch Leif,

100t = 65t + 100

35t  =  100

   t  = 2.85 minute

Hence, the required time is 2.85 minute

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Answer:

50276 rounded to the nearest hundred is 50300.

Rounding to the nearest hundred means finding the number that is closest to the original number, but ends in two zeroes. In this case 50300 is the nearest number ending in two zeroes to 50276.

Answer:50300

Step-by-step explanation:

In 50276, the number 2 is in the hundreds place. If the number in the tens place if equal or bigger to 0 round up to get 50300.

The solution for "m" for the equation is 8.3.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

Given expression

5m + 2 - 3.9m = 2.1(m — 3)

5m + 2 -3.9m = 2.1m - 3(2.1)

1.1m + 2 = 2.1m - 6.3

compare variables on one side and constant other,

2  + 6.3 = 2.1m - 1.1m

8.3 = m

Hence the value of m is 8.3.

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The grouped frequency distribution data is given in the image.

The distribution of values in a field is described by a statistical distribution, often known as a probability distribution. In other words, the statistical distribution identifies the typical and unusual values. The bell-shaped normal distribution is one of many varieties of statistical distributions.

Given:

This table shows overall advertising revenue for the American newspaper industry (in billions of inflation-adjusted 2015 dollars) for the years 1980 to 2015.

From the given data,

we can build the grouped frequency distribution data.

And our first class should be 10-19.9.

The table is given in the attached image.

Therefore, the frequency is given in the attached image.

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The width of the bookcase is 6 feet and height is 4 feet if the carpenter expects to use 28 feet of lumber to make it.

Let w = the width and h = the height of the bookcase. The width of the lumber you are using is not given.

Also, Let the height is x.

and, the width is 3x -14.

Since, we stated that this equals 28 feet and also that w = 3h - 14, we can insert this into the equation and use it to solve for h:

Now,

The total amount of lumber used to make the bookcase is:

L = 4w + 2h             -------------------------- (1)

Now Putting Width and height in the Equation (1):

⇒ 28 = 4(3h - 14) + 2h

⇒ 28 = 12h - 56 + 2h

⇒ 28 = 14h - 56

⇒ 84 = 14h

⇒ h = 84/14

      = 6 feet

Putting the value of height, h= 6 feet in

w = 3x -14

⇒ w = 3(6) - 14 = 4.

Therefore,

The width is 4 feet and the height is 6 feet.

Complete Question:

A bookcase is to have 4 shelves including the top as pictured below.

The width is to be 14 feet less than 3 times the height. Find the width and the height if the carpenter expects to use 28 feet of lumber to make it.

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A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other

What is an equivalent ratios?

A ratio compares two quantities named as antecedent and consequent, by the means of division. For example, when we cook food, then each ingredient has to be added in a ratio. Thus, we can say, a ratio is used to express one quantity as a fraction of another quantity.

Two ratios are equivalent to each other if one of them can be expressed as the multiple of the other. Hence, to get the equivalent ratio of another ratio, we have to multiply the two quantities (antecedent and consequent) by the same number.

Given ratios are 2:1 and 3:1

we can write it as 2/1 and 3/1.

The lcm of 2 and 3 is 6.

Multiply denominator of both ratio with 6, we get

2/6 and 3/6 And we can see both the ratios are not equal.

Hence, there are not equivalent ratios.

4:1 and 8:3 are equivalent ratios -----> is false, because 4:1 is equivalent to 8:2

11:2 and 2:11 are equivalent ratios------> is false (because, are reciprocal ratios, not equivalent ratios)

3:1 and 9:3 are equivalent ratios ------> is true

because 3:1 multiply both sides by 3 -----> 3*3:1*3=9:3

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Answer: x<4

Step-by-step explanation:

19>15+x

4>x

x<4 is the answer

Answer:

Since 15+x is less than 19. 15+x cannot equal to or greater than 19. If x is greater or equal to 4, the answer will be equal to or greater than 19 which is not true for the equation shown above.

So x is less than 4.

The inequality that models the situation is:

x + 2y ≥ 12

We know that a Mecnahinc named Zeke plans to work a maximum of 12 hours (12 hours is an allowed value) tomorrow.

And we know that he works doing tune-ups and oil changes.

Let's define the variables:

We know that It takes 1 hour to perform a tune-up and 2 hours to perform an oil change.

Then the total number of hours worked by Zeke is given by the expression:

x*1 + y*2

And that must be equal to or smaller than 12, so we will get the inequality:

x + 2y ≥ 12

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If Annual Salary: $24,872; personal exemptions: $1,500.  the income tax withheld per pay is: $29.57 per pay period.

Total taxable income = $24,872 - $1,500

Total taxable income = $23,372

The first $10,000 is taxed at a rate of 2.75%.  The tax owed on the first $10,000 is:

$10,000 * 0.0275

= $275.

The remaining $13,372 ($23,372 - $10,000) is taxed at a rate of 3.25%, so the tax owed on this amount is:

$13,372 * 0.0325

= $434.57

The total tax owed is:

$275 + $434.57

= $709.57

Since the person is paid semimonthly, we divide the annual tax owed by 24 to find the tax withheld per pay period:

$709.57 / 24

= $29.57 per pay period

Therefore the income tax withheld per pay is: $29.57 per pay period.

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An expression that represents how much more Elena spent than Taniy is 4.3 + p.

Assuming the variable p, represents the price, in dollars, per pound of cherries, the amount of money Elena spent in buying a watermelon for $6.75 and 3 pounds of cherries is given by:

Elena = 3p + 6.75.

For the amount of money Taniy spent in buying a pineapple for $2.45 and 2 pounds of cherries is given by:

Taniy = 2p + 2.45

For the difference, we have:

Elena's cost = 3p + 6.75 - (2p + 2.45)

Elena's cost = 3p + 6.75 - 2p - 2.45

Elena's cost = 4.3 + p

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