Mr. Thompson is a cook at a restaurant that serves breakfast. On Tuesday, he used 5 pounds of 9 16 1 pancake mix. On Wednesday, he used 4 pounds of pancake mix. Parker says that Mr. Thompson used a total of about 9 pounds of pancake mix over the two days.​

Answer:

its 2

Step-by-step explanation:

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

The statement that is a good definition is D. Parallel lines are lines that do not intersect.

A type of quadrilateral with all sides being equal and all angles being 90 degrees is a square.

Lines that do not cross each other but have a constant perpendicular distance are known as parallel lines. Right angles and skew lines are perpendicular to one another but not parallel. Therefore, a square is a type of rectangle in which all four sides are parallel to one another.

Therefore, based on the information, the correct option is D

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Answer:

1. Y = -4/3

2. 2x = 2y + 10

Step-by-step explanation:

1.  y =− 2y − 4

Step 1: Add 2y to both sides.

y + 2y = −2y − 4 + 2y

3y = −4

Step 2: Divide both sides by 3.

3y/3 = -4/3

y = -4/3

2.  solve for x

y=1/2x-5

Step 1: Flip the equation.

1/2x−5=y

Step 2: Add 5 to both sides.

1/2x−5+5=y+5

1/2x=y+5

Step 3: Divide both sides by 1/2.

1/2x/1/2=y+5/1/2

x=2y+10

not sure if this will help but here you go :)

Answer:

constant is - 19

Step-by-step explanation:

the constant is the term in an expression with no variable attached to it.

12r + \(\frac{r}{2}\) - 19

the only term without the variable r attached to it is - 19

then the constant term is - 19

The inequality is graphed and attached

There are some points that help in interpreting inequality graphs.

the x values are also called the domain lets assume -4 0 4. this is substituted into the equation 3x - 2y > 2 to get the values in the y direction.

3x - 2 > y

y < 3x - 2

for x = -4

y < 3 * -4 - 2 = -14

for x = 0

y < 3 * 0 - 2 = -2

for x = 4

y < 3 * 4 - 2 = 10

table of values

x      y

-4   -14

0     -2

4     10

y < 3x - 2 is the equation

Then use of dashed lines of dashed lines or solid lines

dashed lines means there is no equality sign in the inequality > OR < hence used for the problem

solid line means there is equality in the inequality  ≤ OR ≥

Another part is the shaded portion

shading above the line defines greater than shading below the line defines less than. The equation has less than and the shading is below the line

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Answer : 0.99

Explanation :  15 * 6.6/100 For The Tax.

Total : 15.99

The solution of the system is equal to u, u is in the plane \(R^3\).

Augmented matrix for Exercise 11:

[1 2 4 -2 0 1 5 9 -3]

The solution is: x = 2, y = -3, z = 1

Augmented matrix for Exercise 12:

[1 2 1 0 -3 -1 5 -1 3]

The solution is: x = -1, y = 6, z = -2

To determine if u = [0 4 4] is in the plane \(R^3\), we need to find the solution of the system of linear equations formed by the augmented matrix:

[3 -5 -2 0 6 1 4 1 1]

Solving this system, we find that x = 0, y = 4, z = 4. Since the solution of the system is equal to u, u is in the plane \(R^3\).

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A) S(x) = 18x + -36005

B) 18

C) 2013

The number of centilitres which is equivalent to 0.00005 liters as required to be expressed in standard form is; 5 × 10-² cL.

Recall that; it follows from metric systems that;

100 centilitres = 1 litres.

On this note, it follows from proportion that the number of centilitres present in 0.00005 litres as required is;

= 0.00005 × 100 centilitres

= 0.005 centilitres.

Ultimately, when expressed in standard form, it follows that the number of centilitres in 0.00005 liters is; 5 × 10-² cL.

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Answer:

5 ≤ L ≤ 35

Step-by-step explanation:

Let w represent the width of the rectangle.

The perimeter (P) of the rectangle is given by:

P = 2w + 2L

Where L is the length of the rectangle.

We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:

100 ≤ 2(30) + 2L ≤ 160

100 ≤ 90 + 2L ≤ 160

10 ≤ 2L ≤ 70

We can now divide both sides by 2 to solve for L:

5 ≤ L ≤ 35

Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is:  5 ≤ L ≤ 35

Answer:

y=-5x+5

Step-by-step explanation:

Answer: To find the sum of 6 5/8 and 4 3/4, you need to express the two fractions with a common denominator. One way to do this is to express both fractions with a denominator of 8. To express 6 5/8 with a denominator of 8, you can rewrite it as 6 + 5/8, and to express 4 3/4 with a denominator of 8, you can rewrite it as 4 + 3/4. When you add these two fractions, you get:

6 + 5/8 + 4 + 3/4

= 10 + 8/8

= 10 + 1

= 11 1/8

So the sum of 6 5/8 and 4 3/4 is 11 1/8. This fraction is already in simplest form, since the numerator and denominator are relatively prime (i.e., have no common factors other than 1).

Answer:

\(\frac{91}{8}\)

Step-by-step explanation:

so your question is given in mixed number

\(6\frac{5}{8} + 4\frac{3}{4}\)

now simply multiply 6 with denominator and then add 5 to it . In denominator keep 8 as it is.Follow the same process for another term as well.

= \(\frac{6*8+5}{8}\) +\(\frac{4*4+3}{4}\)

=\(\frac{53}{8}\) + \(\frac{19}{4}\)

now take LCM

=\(\frac{53*1 +19*2}{8}\)

=\(\frac{53+38}{8}\)

=\(\frac{91}{8}\)

After this if it any cancelation can be done then do cancel in denominator and numerator but here we cannot cancel so your final answer is \(\frac{91}{8}\)

Answer:

3/17

Step-by-step explanation:

-2x + 3(-5x + 1)

-2x -15x +3

-17x + 3

17x = 3

x = 3/17

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

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Answer:

Jogging = 10 hours

Swimming = 7 hours

Cycling = 3 hours

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

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The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.

To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.

Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.

The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.

Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.

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The expression for the given word phrase is

46M + M² + 2 + 1/M²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = M

Reciprocal of M = 1/M

Now,

46 x (M + 1/M)²

Step 1:

46M + M² + 2 + 1/M²

Thus,

The expression is 46M + M² + 2 + 1/M²

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Answer:

180

Step-by-step explanation:

The area of a parallelogram is given by the formula A = b × h, where b is the base and h is the height. In this case, the base is 10 and the height is 18. Therefore, the area is:

A=10×18

A=180

The area of the parallelogram is 180 square units

Answer:

12 liters per minute.

Step-by-step explanation:

41litres-5litres=36

If 36litres are filled up within 3 min,how many litres will be filled within 1 min

1/3×36=12

=12 litres per min

The annual interest rate is 7.5%.

What is Simple interest?

Simple interest is a type of interest that is calculated on the principal amount (or the initial amount) of a loan or investment, without taking into account any accumulated interest from previous periods.

The formula for simple interest is:

I = P × r × t

where I is the interest earned, P is the principal (initial amount), r is the annual interest rate as a decimal, and t is the time in years.

In this case, we know I = $562.50, P = $1500, and t = 5 years.

we ca substitute values into the formula,

562.50 = 1500× r ×5

Simplifying, we get:

r = 562.50 / (1500 ×5)

r = 0.075

r = 7.5%

Therefore, the annual interest rate is 7.5%.

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Onomatopoeia: Imitate the sounds they describe.

Answer:16.78

Step-by-step explanation:

12.5% is the percentage error of eve's estimation.

The accuracy and proximity of an estimate to the actual value of a specific experiment or quantity are measured in terms of percent error. Using this strategy, you may assess whether or not the data collecting is going in the proper path. Experts in statistics and big businesses are its main users. Students that are interested in studying economics should place a high priority on it.

Given, Eve took a road trip to visit an old friend. She expected the drive to take 3 hours and 30 minutes, but she was delayed by construction and it actually took 4 hours.

From the general formula of percentage error = \(\frac{actual value - expected value}{actual value}* 100\)

for our given data, Actual value = 4

estimated value = 3.5

Thus, percentage error = (4-3.5)/ 4 = (1/8)*100 = 12.5

Therefore, Eve's estimate has a percentage inaccuracy of 12.5%.

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