The vet said Lucy's cat Mitten weighs 8 2/6 pounds. This is 1 5/6 pounds more than Mittens weighed last year. How much did Mitten weigh last year?​

Answer:

591 square cm

Step-by-step explanation:

25 times 23 =575

4 times 4 =16

575 plus 16=591

Answer:

591

Step-by-step explanation:

23x25=575+(4x4)=591

y = 1/2x + 1 is the line's equation in slope-intercept form.

The equation of a line in slope intercept form is expressed as y = mx + b where:

m is the slope

b is the y-intercept

Given the following coordinate points (4, 3) and (0, 1), the slope is calculated as:

Slope = 1-3/0-4
Slope = -2/-4
Slope = 1/2

For the y-intercept, it is the point where the x-coordinate is zero, hence the y-intercept if (0, 1)

Determine the required equation
y = mx + b

y = 1/2x + 1

Hence the equation of the line in slope-intercept form is y = 1/2x +1

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The correct statement regarding the residual in this problem is given as follows:

2.66; The line of best fit underpredicts the temperature change.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

For a rain amount of 0.4 inches, the predicted temperature change is given as follows:

y = -1.4 x 0.4 + 0.2

y = -0.36.

Then the residual is given as follows:

R = 2.3 - (-0.36)

R = 2.66 -> underpredicts the change.

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Answer:

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sofiapenaloza

05/31/2023

Mathematics

College

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The equation for the line of best fit for change in temperature, y, to amount of rain, r, is given by ŷ = − 1.4r + 0.2. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.

2.66; The line of best fit overpredicts the temperature change.

2.66; The line of best fit underpredicts the temperature change.

1.94; The line of best fit underpredicts the temperature change.

−1.94; The line of best fit overpredicts the temperature change.

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The correct statement regarding the residual in this problem is given as follows:

2.66; The line of best fit underpredicts the temperature change.

What are residuals?

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

For a rain amount of 0.4 inches, the predicted temperature change is given as follows:

y = -1.4 x 0.4 + 0.2

y = -0.36.

Then the residual is given as follows:

R = 2.3 - (-0.36)

R = 2.66 -> underpredicts the change.

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Step-by-step explanation:

Answer:

30 fl oz

Step-by-step explanation:

1 c = 8 fl oz

5c = 40 fl oz

40 fl oz - 10 fl oz = 30 fl oz

Answer:

3 fl oz

Step-by-step explanation:

Answer:

Look it up

Step-by-step explanation:

Look it up on google

Answer:

7680

Step-by-step explanation:

7.68×10³

7.68×1000

7680

Her table is a function if every day she has a unique height of the plant. Since she measures the plant once per day, the table is a function.

If every day the plant has a different height, then the relation is one-to-one.

Since there will be days when the plant doesn't grow, the relation is not one to one.

The domain of the table is the set of all the possible values that the age of the plant can take. Since it is measure in days, the domain is discrete because we can also have values like 1, 2, 3, 4 ... for the days

The range of the table is the set of all the possible values that the height of the plant can take. Since it could be a decimal number like 3,4 or 5,75, the range is continuous.

Answers: It is a function, It isn't a relation one-to-one, the domain is discrete and the range is continuous.

An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).

The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.

In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.

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Answer:

10

Step-by-step explanation:
Triangle ABC and DEF are congruent triangles.

So,

Side BC = DE

2x - 1 = x + 9

2x - x = 9 + 1

x = 10

Answer:

\(b=3\)

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation.

\(2*(b+3)-(12)=0\)

Then solve!

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.

Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.

The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.

To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.

Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.

The payment for raw materials purchases in July (35% of X pounds) will be:

0.35 * X pounds

The payment for raw materials purchases in August (65% of X pounds) will be:

0.65 * X pounds

Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

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Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

log₂ 24 can be expressed as 3 + log₂ 3 in terms of prime factors, using the properties of logarithms.

To express log₂ 24 in terms of prime factors, we can use the properties of logarithms and the fact that any positive integer can be expressed as a product of prime factors.

First, let's find the prime factorization of 24.

24 can be divided by 2, so we have 24 = 2 × 12.

12 can be divided by 2, so we have 12 = 2 × 6.

6 can be divided by 2, so we have 6 = 2 × 3.

Therefore, the prime factorization of 24 is 2 × 2 × 2 × 3, or 2³ × 3.

Now, using the properties of logarithms, we can express log₂ 24 as the sum of logarithms of its prime factors.

log₂ 24 = log₂ (2³ × 3)

According to the properties of logarithms, we can separate the factors inside the logarithm as individual terms:

log₂ (2³ × 3) = log₂ 2³ + log₂ 3

Since log₂ 2³ is equal to 3, we can simplify the expression further:

log₂ (2³ × 3) = 3 + log₂ 3

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Answer:42.55

Step-by-step explanation:

Les get the big boi out of the way first. We see that it is 3.5 by 9 and if we multiply we get 31.5. Next left triangle 2 by 2 so four but divided by 2 is 2. God so many  2's. So total is 33.5 so far. Next triangle is 2 by 5 soo  10 divided by 2 is 5. total is 38.5. Last dude in the middle. We know one side is two so we have to subtract here from the triangles which gets u the other side of 2 so 4. Total is 42.5

The Area of the Shape Shown is 42.5 square units.

The area of Rectangle is length times of width.

The area of the rectangle in the given figure is

Area of rectangle=3.5×9

=31.5 square units.

The area of left side triangle is

Area of triangle=1/2×2×2

=2 square units

The area of right side triangle 1/2×5×2

=5 square units

Now the area of square =2²

=4 square units.

Now total area of figure is 31.5+2+5+4 is 42.5 square units.

Hence, the Area of the shape Shown is 42.5 square units.

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Answer:

6

Step-by-step explanation:

Speed = Distance/time

Therefore time must = distance/speed

Since the two students are running apart from eachother, we can add their speeds together.

Also we can subtract 10 feet from our goal of 1870 since they're already 10 feet apart.

1860 feet/(150+1650) feet per minute

We can cancel out the feet since it's a common term.

And we're left with 6 minutes.

The  time before they are 1870 feet apart is mathematically given as

X=6min

Question Parameters:

Two old RSM students were standing 10 feet apart

at the speeds of 150 feet per minute

they are 1870

feet apart

Generally, the time they are apart is mathematically given as

X=final distance apart/speeds of run

Therefore

X=1870/(150+160)

X=6min

In conclusion,time before they are 1870 feet apart

X=6min

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Answer:

32.5x

Step-by-step explanation:

She earns 32.5 dollars every hour, so if she worked 14 hours she would earn 455 dollars.

Answer:

32.5x

Step-by-step explanation:

She earns 32.5 dollars every hour, so if she worked 14 hours she would earn 455 dollars.

The definite integral for this problem has the result given as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)

The definite integral for this problem is defined as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx\)

We have an integral of the sum, hence we can integrate each term, and then add them.

For the first two terms, applying the power rule, the integrals are given as follows:

The integral of the tangent is given as follows:

ln|sec(x)|

Then the integral is given as follows:

I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.

Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:

I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)

I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 212 - ln|sec(5)| + ln|sec(1)|.

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Answer:

The original price of the shoes was of 2200 pesos

Step-by-step explanation:

She bought the shoes for 1866 pesos.

She receibed a discount of 70 pesos, so the cost, with the discount, is 1866 + 70 = 1936 pesos.

The pair was bought at 12% off, that is, 1936 pesos is 100 - 12 = 88% of the original price. Then

\(0.88x = 1936\)

\(x = \frac{1936}{0.88}\)

\(x = 2200\)

The original price of the shoes was of 2200 pesos

Answer:

15

Step-by-step explanation:

15 show wisbf disbesnsjs sjsnsid e ejeisoe. ejdjdnd

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

3x(1-3x)

Step-by-step explanation:

\(3x- 9x^{2}\)

by taking 3x common,

\(3x(1-3x)\)

The value of x, of the angle 2x and x formed by the ray passing through the right angle is 30°.

Here we have a right angle that has a ray passing through it. We can say that the angle is a right angle because, instead of the normal notation of a curve, a square has been drawn to show the angle.

Now, since no ray except the angle is marked we will assume that 2x and x are the measurement of the angles formed due to the intersecting ray.

We all know that a right angle measures 90°.

Hence we can say that the sum of the angles will be 90°, Hence, 2x and x are complementary angles.

Writing this in the form of an equation we will get

2x + x = 90°.

or, 3x = 90°

or, x = 90°/3

or, x = 30°

Hence the value of x is 30°.

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Answerjewf q3fbfjbfb bfb njebjfb

Step-by-step explanation:

Answer:

4 324

Step-by-step explanation:

From the image that we have here, the translation of the image would be:

In the field of mathematics, this is the type of transformation which would take points in an image and move it in similar distance and direction.

It has to do with the movement of points in an horizontal manner or in a vertical manner.

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Answer:

Step-by-step explanation:

1/24

Answer:

15%

Step-by-step explanation:

The first step is to calculate the decrease

= 500-425

= 75

The percentage decrease can be calculated as follows

= 75/500 ×100

= 0.15×100

= 15%

Hence the percent decrease is 15%

Answer:2^1 × 3^2 × 13^1

Step-by-step explanation:

Answer:

Step-by-step explanation:

52 = 5x + 17

52 - 17 = 5x

x = 35 / 5

x = 7

9514 1404 393

Answer:

  e ≈ 11.0

Step-by-step explanation:

The law of cosines tells you ...

  e² = d² +f² -2df·cos(E)

  e² = 196 +81 -252cos(52°) ≈ 121.853

  e ≈ √121.853 ≈ 11.04