If a serving size of
corn is ½ cup and
contains 45 calories,
how many calories in
3.5 servings?

From the given scatter plot with x and y variables, we can say that the correlation is; Negative Correlation.

We are told that you kept the balance in your "discretionary spending" envelope.

Now, we are further told that a scatter plot shows the number of days that have passed since you were paid and the amount left in your discretionary spending envelope.

Now, In this case, the day of the salary increases the money spent, that is, the amount of money in the envelope decreases. Thus, as the variable increases and the other decreases, it is a negative correlation.

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If Carl Brownstein is a golf course groundskeeper whose annual gross pay is 45,500, and he has exemptions of 3000, and the state tax on the first 2500 is 1.5% and 3% on amounts over 2,500 then the state income tax of Carls is C- 1237.50.

The state income tax of Carls can be calculated as follows;

First, we subtract the exemption of 3000 from the annual gross pay as follows;

45500 - 3000 = 42500

As the percentage tax on the first 2500 is 1.5%, it can be calculated as follows;

1.5/100 × 2500 = 0.015 × 2500 = 37.50

The percentage tax on amounts over 2500 is 3%, therefore we can calculate the tax on the remaining amount as follows;

42500 - 2500 = 40000

3/100 × 40000 = 0.03 × 40000 = 1200

The total state income tax can be calculated by addition;

Tax on the first 2500 + Tax on the amount over 2500

37.50 + 1200 = 1237.50

Hence the state income tax of Carl is calculated to be 1237.50

Although a part of your question is missing, you might be referring to this question:

Carl Brownstein is a golf course groundskeeper whose annual gross pay is 45,500, he has exemptions of 3000. The state tax on the first 2500 is 1.5% and 3% on amounts over 2,500. What is the state income tax of Carl's?

A- 3233

B- 1200

C- 1237.50

D- 1588

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Mr. Lawson is to pay the smallest amount of interest that is allowed in the City Credit Union which is a simple interest would be 1632.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

To determine the smallest amount of interest.

We have to calculate the simple interest of each bank

United Bank : 4% interest rate and 6 years

S.I. of United Bank = 8000 × 4/100 × 6 = 1920

Nations First :3.8% interest rate and 7 years

S.I. of Nations First = 8000 × 3.8/100 × 7 = 2128

City Credit Union :5.1% interest rate and 4 years

S.I. of City Credit Union = 8000 × 5.1/100 × 4 = 1632

Priority Bank : 4.2%interest rate and 5 years.

S.I. of Priority Bank = 8000 × 4.2/100 × 5 = 1680

So the smallest amount of interest would be City Credit Union which is 1632.

Therefore, Mr. Lawson is to pay the smallest amount of interest that is allowed in the City Credit Union which is a simple interest would be 1632.

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Answer:

13.6mm

Step-by-step explanation:

1.7mm x 8 sides =

The simplified form of the given logarithmic expression ln (x+1)+ln (x-1)= 4 is x = 0.67 (to the nearest thousandth).

A logarithmic term represents a number in log form. A log term is another name for it.

A quantity can also be the sum of two or so more quantities. As a result, a term can be the product of 2 or more quantities, one of which must be in logarithmic form. In those kind of instances, the terms are recognized as log terms.

A quantity can also be defined as the quotient of two quantities. So, if a term includes a quotient of quantities, or at least each of the quantities could be expressed in log form, this same terms are known as log terms.

Now, according to the stated condition in question;

ln (x+1)+ln (x-1) = 4

Applying the Product Rule on the left side of the equation;

ln (x+1)/ (x-1) = 4

Convert the obtained expression in the exponent form.

Thus,

e∧[ln (x+1)/ (x-1)] = e⁴

Now, apply the exponent rule.

(x+1)/ (x-1) = 4

Now, simplifying the equation.

(x+1) = 4 (x-1)

x+1 = 4x - 1

4x - x = 1 + 1

3x = 2

x = 2/3

x = 0.666...

x = 0.67 (to the nearest thousandth).

Therefore, the solution for the stated logarithmic expression ln (x+1)+ln (x-1)= 4 is x = 0.67 (to the nearest thousandth).

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The simplified form of the expression is 6^(-3)

From the question, we are to simplify the given expression

The given expression is

6^2/6 • 6^12 / 6^8

Simplifying

6^2/6 • 6^12 / 6^8

Applying the division law of indices

6^(2 -1 ) • 6^(12 - 8)

6^(1) • 6^(4)

Applying the multiplication law of indices

6^(1 - 4)

6^(-3)

Hence, the simplified form of the expression is 6^(-3)

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Answer:North west, the roads should have stopped this answer but north alone wasn’t an option so just pretend Jenna is a lawless maniac ig‍♂️

Step-by-step explanation:

Answer:

-207

Step-by-step explanation:

38x - 17

38(-5) - 17

-190 - 17

-207

*Please mark brainliest answer

Answer:-173

Step-by-step explanation:

38x - -17

38 multiplied by -5 equals -190

-190 - -17 equals -173

Answer:

G' (8, - 8 )

Step-by-step explanation:

since the dilatation is centred at the origin then multiply each of the coordinates by the scale factor of 4

G (2, - 2 ) → G' (4(2), 4(- 2)) → G' (8, - 8 )

The components of PQ are given by {5; 2}

The components of a vector in a two-dimensional coordinate system are usually thought of as the x and y components. This can be expressed as V = (vx, vy), where V is a vector. These are part of the vectors generated along the axis.

Suppose an angle θ is formed between the vector V and the x component of the vector. A vector V and its x component (vx) form a right triangle if you draw a line parallel to the y component (vy).

Due to the trigonometric relationship:

cos θ = adjacent side/hypotenuse = vx/V

sin θ = opposite side/hypotenuse = vy/V

where V is the magnitude of vector V.

So, the Component of PQ is Given by

PQ = {Bx - Ax; By - Ay} = {3 - (-2); 4 - 2} = {5; 2}

PQ= {5; 2}

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Answer: The answer is unknown

Step-by-step explanation: 7 continents, so you would only have 1 data.

Answer:

Step-by-step explanation:

25/3

They spent 1/70 of their monthly income on other things.

The family spent GH¢60,000 on clothing.

The monthly income of the family is GH¢168,000.

What is Fraction?

The number is expressed as a quotient in which the numerator is divided by the denominator is called fraction.

Since, The family spend;

On food = (3/7)*x

On clothing = (5/14)*x

On rent = (1/5)*x

Let the family's monthly income = x

Now, To find the fraction of the family's income is spent on other things, we can assume that y is spent on other things, then we should have;

(3/7)*x + (5/14)*x + (1/5)*x + y*x = x

We can divide both sides by x, we get:

(3/7) + (5/14) + (1/5) + y = 1

Now, we can solve this for y as;

3/7 + 5/14 + 1/5 + y = 1

6/14 + 5/14 + 1/5 + y = 1

(6 + 5)/14 + 1/5 + y = 1

11/14 + 1/5 + y = 1

The smallest common factor of 14 and 5 =  14*5 = 70

So, we can multiply in the first fraction by 5/5 and the second by 14/14,

(5/5)*(11/14) + (14/14)*(1/5) + y = 1

55/70 + 14/70 + y = 1

69/70 + y = 1

y = 1 - 69/70

y = 1/70

Hence, They spent 1/70 of their monthly income on other things.

And, On a particular month, the family spends  GH¢2,400 on other things, then if the monthly income is x, we have:

(1/70)*x = GH¢2,400

x = 70* GH¢2,400

x = GH¢168,000

So, The monthly income of the family is GH¢168,000

And, we know that they spend (5/14)*x on clothing,

Then this month they spent on clothing,

⇒ (5/14)*GH¢168,000 = GH¢60,000

So, They spent 1/70 of their monthly income on other things.

The family spent GH¢60,000 on clothing.

The monthly income of the family is GH¢168,000.

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The complete question is this,

A family spends 3/7 of their monthly income on food,5/14 on clothing and 1/5 on rent. What fraction of the family's income is spent on other things? If in a particular month, the family spends GH&2,400 on other things, how much did the family spend on clothing? What was the family's income for the month.

Descriptive statistics is the correct answer.

Descriptive statistics are numbers that are used to summarize and describe data. The word "data" refers to the information that has been collected from an experiment, a survey, a historical record, etc. (By the way, "data" is plural. One piece of information is called a "datum.") If we are analyzing birth certificates, for example, a descriptive statistic might be the percentage of certificates issued in New York State or the average age of the mother. Any other number we choose to compute also counts as a descriptive statistic for the data from which the statistic is computed. Several descriptive statistics are often used at one time to give a full picture of the data.

Descriptive statistics are just descriptive. They do not involve generalizing beyond the data at hand. Generalizing from our data to another set of cases is the business of inferential statistics, which you'll be studying in another section. Here we focus on (mere) descriptive statistics.

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Answer: t=15

Step-by-step explanation:

ST=9. BC=3

ST/BC=

9/3=3 ==> with this information, we can conclude that triangle ABC needs to be stretched by a scale factor of 3 in order to become triangle RST.

t=RS

RS=AB*3

RS=5*3

RS=15

t=15

The dimensions of the rectangular photo frame, rounded to the nearest whole number of centimeters are: D. 13cm x 9cm.

Whole numbers are numbers that do not have any fractional part and represents a whole quantity.

A mixed number consist of an whole number and a proper fraction or fractional part.

Given the dimensions of the rectangular photo as, 12 11/16 cm by 8 3/4cm, convert each dimension to improper fractions:

12 11/16 would be converted to 203/16

8 3/4 would be converted to 35/4

203/16 = 12.6875 ≈ 13 [nearest whole number of cm]

35/4 = 8.75 ≈ 9 [nearest whole number of cm]

Therefore, the dimensions of the rectangular photo frame, rounded to the nearest whole number of centimeters are: D. 13cm x 9cm.

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Answer:

12a + 3b = no solution

Step-by-step explanation:

You have to add like terms here!

7a + 5a = 12a

12a + 4b - b

4b - b = 3b

And now you're left with 12a and 3b, you can't go any further because 12 a and 3b are not like terms, you cannot add, or subtract them. Which means there is no solution.

I hope this helped :)

The linear equation y = (5 / 2) · x exhibits the steepest graph in comparison with the other three lines. (Correct choice: D)

Linear equations are equations of the form y = m · x + b, where m, b are the slope and the intercept of the equation, respectively. As slopes may be positive, null or negative, then we should use absolute values to determine the grade of steepness of a linear equation, where |m| ≥ 0. A line is steeper than other line when the absolute value of the former is greater than the absolute value of the latter.

According to this criterion, the linear equation y = (5 / 2) · x exhibits the steepest graph in comparison with the other three lines.

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Answer:

(1, 7 )

Step-by-step explanation:

- 2x - 4y = - 30 → (1)

- x + y = 6 → (2)

multiplying (2) by 4 and adding to (1) will eliminate y

- 4x + 4y = 24 → (3)

add (1) and (3) term by term to eliminate y

- 6x + 0 = - 6

- 6x = - 6 ( divide both sides by - 6 )

x = 1

substitute x = 1 into either of the 2 equations and solve for y

substituting into (1)

- 2(1) - 4y = - 30

- 2 - 4y = - 30 ( add 2 to both sides )

- 4y = - 28 ( divide both sides by - 4 )

y = 7

solution is (1, 7 )

The value corresponding to |f(i)| is √2.

The given function is f(x)=1-x.

Given f(x) = 1 - x

To find the value of |f(i)| we have to substitute x=i.

After substituting this, we get

f(i) = 1 - i

As we all know that, this is an imaginary even function in the form a + ib

The modulus of the imaginary function can be represented as √(a²+b²)

Here a = 1 and b = -1

Now, we will substitute this value in the above formula, we get

|f(i)| = √(1² + (-1)²)

|f(i)| = √(1+1)

|f(i)| = √2

Hence, the value of the given function f(x)=1-x which is equivalent to |f(i)| corresponding value is √2.

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The constraints of the equation will be x > 13 y and 340 x + 670 y < 5650.

Let the number of new bicycles be x

Let the number of new treadmills be y.

Cost of 1 new bicycle = $ 340

Cost of 1 new treadmill = $ 670

Also, he must spend less than $ 56,50

Now, the constraints for this will be:

x > 13 y

x greater than 13 y

340 x + 670 y < 5650

340 x plus 670 y less than or equal to 5650

Therefore, the constraints of the equation will be x > 13 y and 340 x + 670 y < 5650 .

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Answer:

whether the transaction

is a purchase or sale. Write a formula for the advisor's

commission. Let D represent the value of one transaction.

Give two examples of how this financial advisor could earn a

commision of $1000

Step-by-step explanation:

Answer:

gove two examples of how this financial advisor could earn a

Step-by-step explanation:

Answer:

No Solution

Step-by-step explanation:

0.3(6y+15)=1.8y+4.5

Step 1: Simplify both sides of the equation.

0.3(6y+15)=1.8y+4.5

(0.3)(6y)+(0.3)(15)=1.8y+4.5(Distribute)

1.8y+4.5=1.8y+4.5

Step 2: Subtract 1.8y from both sides.

1.8y+4.5−1.8y=1.8y+4.5−1.8y

0y+4.5=4.5

Step 3: Subtract 4.5 from both sides.

0y+4.5−4.5=4.5−4.5

0y=0

Step 4: Divide both sides by 0.

0y/0 = 0/0

y=0

Answer:

d)decreases

Step-by-step explanation:

It can be proved using the method of inverse variation.

What is inverse variation?

In mathematics, inverse variation refers to the relationships between variables expressed as y = k/x, where x and y are two variables and k is a constant. According to this statement, if the value of one item rises, the value of the other quantity falls.

Given,

(x₁, y₁) and (x₂, y₂) are values from an inverse variation.

inverse function of x and y will be -

y1 = k. 1 / x1  

k = y1 / x1                                                ....(1)

y2 = k. 1 / x2  

k = y2 / x2                                              ....(2)

from (1) , (2)

we can say that,

y1 / x1    = y2 / x2

⇒ y2 / y1 = x1 / x2

Hence proved.

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During the cooking class, the instructor put 1/8 of the salt in each serving

The instructor divided 1/2 of an ounce of salt evenly

The instructor needs to 4 servings in a dish

Therefore the number of salt in each serving can be calculated as follows

= 1/2 ÷ 4

change the expression to multiplication

1/2 × 1/4

= 1/8

Hence 1/8 of the salt was placed in each serving of the dish

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