WRITING LINE AR INEQUALITIES Nancy works at Love at First Bite bakery where she decorates cakes and cupcakes. It takes her an average of 4 minutes to decorate a cupcake and 32 minutes to decorate a cake. Last week, Nancy spent no more than 224 minutes decorating cakes and cupcakes. Assume x represents the number of cupcakes and y represents the number of cakes Nancy decorated. 1. Which inequality best represents the possible combinations of cupcakes and cakes Nancy decorated? 2. If Nancy decorated a total of 4 cakes last week, which inequality represents the possible number of cupcakes she decorated? 3. Is it possible that Nancy decorated 3 cakes and 32 cupcakes last week? Explain. a. 4x + 32y > 224 b. 4x - 32y < 224 c. 32x + 4y < 224 d. 4x + 32y < 224 a. X < 96 b. x < 24 C. X < 96 d. x < 24 1 2- 3 - > 1​

Answer:

4) 5

Step-by-step explanation:

3x-x+2=12

First, you combine similar terms, so 3x-x which is 2x.

Second, you subtract 2 on both sides which is going to give you 2x=10.

Finally, you divide by 2 on both sides, so the final answer is going to be x=5.

The given equation 5x² - 7x + 2 can be factorized using the factorization method as;(5x - 2)(x-1)

Factorization in mathematics refers to the process of expressing a given number or expression as a product of two or more factors. In other words, it is the method of breaking down a number or an expression into simpler parts or factors.

Given that 5x² - 7x + 2 =0 whic can be seen as a quadratic equation, from this we can see that (x-1) is one of the factor.

We can re wrirte the expression as 5x² - 5x - 2x + 2 =0, we can see that the new expression is still the same with the original expression , then we can factor out as :

5x(x-1) -2(x-1)

(5x - 2)(x-1)

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The area of triangle (A) is 210 cm².

What is the area of the triangle and perimeter of the triangle?

If a, b, and c are the sides of the triangle, then

Perimeter of the triangle = (a + b + c) units.

Area of the triangle = \(\sqrt{(s(s - a) (s - b) (s - c)) }\)

The semi-perimeter of the triangle, s = (a + b + c)/2

Let the triangle is ABC,

and AB = 3x - 1, BC = 4x + 1 and AC = 3x.

       Perimeter = 70

       AB + BC + AC = 70

      3x-1 + 4x + 1 +3x = 70

       10x = 70

          x = 7

AB = a = 3x - 1 = 20

BC = b = 4x + 1 = 29

AC = c = 3x = 21

Now semi-perimeter = s = 70/2

                                     s = 35

      Area of the triangle = \(\sqrt{(s(s - a) (s - b) (s - c)) }\) 

                                    \(=\sqrt{35(35-20)(35-29)(35-21)}\\\\\\=\sqrt{35(15)(6)(14)}\\\\=\sqrt{44100}\\\\=210\)

        Area of the triangle = 210 square cm.

Hence, the area of triangle (A) is 210 cm².

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Answer: x=10

Step-by-step explanation:

1

Subtract

5

from both sides

2

Simplify

3

Divide both sides by the same factor

4

Simplify

Answer:

2x + 5 = 25

25 - 5= 2x

20 = 2x

20 ÷ 2 = 2x ÷ 2

x = 2

Answer:

(f o g)(-5) = -5 fog: (g o f) (-5) is -5 Gof

Step-by-step explanation:

hope that helps

Answer:

$850 equipment

$125 from donation

they need $725

Step-by-step explanation:

if they earn $4 per ticket,

725÷4= 181.25

thus they need to sell atleast 182 tickets to have enough money

Answer:

850$ from equipment

and 150$ from it

Notice that

(x - 1)²/4 + (y + 2)²/9 = (2 sin(θ))²/4 + (3 cos(θ))²/9

… = sin²(θ) + cos²(θ)

… = 1

Solve for y in terms of x :

(x - 1)²/4 + (y + 2)²/9 = 1

(y + 2)²/9 = 1 - (x - 1)²/4

(y + 2)² = 9 - 9/4 (x - 1)²

y + 2 = ± √(9 - 9/4 (x - 1)²)

y + 2 = ± 3/2 √(4 - (x - 1)²)

y = -2 ± 3/2 √(4 - (x - 1)²)

In order for the square root to be defined, one needs

4 - (x - 1)² ≥ 0

(x - 1)² ≤ 4

-2 ≤ x - 1 ≤ 2

-1 ≤ x ≤ 3

so x must belong to the interval [-1, 3].

Answer: To answer this question, we need to know the number of individuals in each combination of Hogwarts elective and house. Without this information, we cannot calculate the expected chi-square test statistic value or the standard deviation.

Assuming we have this information, we can calculate the expected chi-square test statistic value as follows:

Set up a contingency table with the observed frequencies in each cell and the row and column totals.

Calculate the expected frequency for each cell by multiplying the row total by the column total and dividing by the total sample size.

Calculate the chi-square test statistic by summing the squared differences between the observed and expected frequencies for each cell and dividing by the expected frequency for each cell.

The formula for the standard deviation of the chi-square test statistic depends on the degrees of freedom, which is equal to the number of rows minus one multiplied by the number of columns minus one. Once we have calculated the expected chi-square test statistic value and degrees of freedom, we can calculate the standard deviation using the formula:

sqrt(2 * df)

where "df" is the degrees of freedom.

Without the necessary information about the frequencies, we cannot provide a numerical answer to this question.

Step-by-step explanation:

Answer:

6 pounds

Step-by-step explanation:

Answer:

5 pounds

Step-by-step explanation:

12 divided by 3 = 4

20 divided by 4 = 5

The inflection points of the function f(x) = x⁴ - 2x²/3 are at

x = -0.77 and x = 0.77.

To find the inflection points of the function f(x) = x⁴ - 2x²/3, we need to locate the x-values where the concavity of the function changes.

This can be done by finding the second derivative of the function and determining where it equals zero.

First, let's find the second derivative of f(x):

f''(x) = 12x² - 4x/3

Setting f''(x) equal to zero and solving for x:

12x² - 4x/3 = 0

4x(3x - 1) = 0

This equation is satisfied when x = 0 and x = 1/3. However, we need to check the concavity around these points to confirm if they are inflection points.

By analyzing the sign of f''(x) in the intervals (-∞, 0), (0, 1/3), and (1/3, ∞), we observe that the concavity changes at x = -0.77 and x = 0.77.

These are the inflection points of the function f(x).

Therefore, the inflection points of f(x) = x⁴ - 2x²/3 are at x = -0.77 and x = 0.77.

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The measure of the angle y is 49 degrees if AB=AD and BC=DC; the answer is 49 degrees.

It is defined as a four-sided polygon in geometry having four edges and four corners. The kite is quadrilateral, having two pairs of congruent sides and it has one pair of opposite congruent angles.

The kite is given in the picture.

AB = AD

BC = DC

∠DBC + ∠CBD +  ∠C = 180  

From the property of kite: ∠DBC = ∠CBD

y + y + 82 = 180

y = 98/2

y = 49 degrees

Thus, the measure of the angle y is 49 degrees if AB=AD and BC=DC; the answer is 49 degrees.

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Answer:

We need 45 cups on onion

Step-by-step explanation:

green pepper : onion: tomato: total

1                          5              7        13

We have 117 total so divide by 13

117/13 = 9

Multiply each number by 9

green pepper : onion: tomato: total

1*9                        5*9        7*9        13*9

9                            45         63           117

We need 45 cups on onion

Answer:

n= -5/3. 3n+7>2, 3n>2-7, 3n>-5

Answer:

you multiply 300 by 5 % and that gives you 15

Step-by-step explanation:

Answer:

47.5°

Step-by-step explanation:

(2x+10)°+75°= 180°------ sum of angles of a triangle

or, (2x+10°)=180°-75°

or, (2x+10°)=105°

or, 2x=105°-10°

or,2x=95°

or, x= 95÷2

therefore, x=47.5°

Answer:

x=21.25

Step-by-step explanation:

The lower two angles will be equal in an isosceles triangle and all angles in a triangle add up to 180 degrees so:

75+(2x+10)+(2x+10)=180

75+4x+20=180

4x=85

x=21.25

(both lower angles=52.5 degrees)

Proof:

52.5+52.5+75=180

Answer:

D

Step-by-step explanation:

If you draw a line in the middle of the w they will look the same

Answer:

it would be letter D

Step-by-step explanation:

The required answer is the equation of the tangent line to the function at the point (2, f(2)) = (2, 4) is y = 6x - 8.

To find the equation of the tangent line to the function at the point (2, f(2)) = (2, 4), we need to first find the derivative of the function at x = 2.
Assuming we have the original function loaded in content, we can find the derivative as follows:
f(x) = x^2 + 2x
f'(x) = 2x + 2

The tangent line touched the a curve can be made more explicit by considering the sequence of straight lines passing through two points, A and B, those that lie on the function curve. The tangent at is the limit when points ,approximates or tends .

If two circular arcs meet at a sharp point  then there is no uniquely defined tangent at the vertex because the limit of the progression of secant lines depends on the direction in which "point B" approaches the vertex.

The existence and uniqueness of the tangent line depends on a certain type of mathematical smoothness, known as "differentiability."
Now we can plug in x = 2 to find the slope of the tangent line at that point:
f'(2) = 2(2) + 2 = 6
So the slope of the tangent line is m = 6.
To find the y-intercept (b) of the tangent line, we can use the point-slope form of a line:
y - y1 = m(x - x1)
Plugging in the point (2, 4) and the slope we just found, we get:
y - 4 = 6(x - 2)
Simplifying and solving for y, we get the equation of the tangent line in slope-intercept form:
y = 6x - 8
Therefore, the equation of the tangent line to the function at the point (2, f(2)) = (2, 4) is y = 6x - 8.

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9514 1404 393

Answer:

Step-by-step explanation:

In 3 years, the 16-year age difference will be 2 times Paul's age. (3p -p = 2p) Then, Paul will be 8.

Paul is 5 now, and Gina is 21.

The limit of the given function as x approaches negative infinity is -2/9.

To find the limit of the given function as x approaches negative infinity, we will first analyze the function:
lim (x → -[infinity]) [(1 - x - x^2) / (9x^2 - 8)]

To analyze the limit at infinity for such functions, we can consider the highest degree terms of both the numerator and the denominator. The highest degree term in the numerator is -x^2, and the highest degree term in the denominator is 9x^2.

Now, we can divide both the numerator and the denominator by 9x^2:
lim (x → -[infinity]) [(1/9x^2) - (x/9x^2) - (x^2/9x^2)] / [(9x^2/9x^2) - (8/9x^2)]
lim (x → -[infinity]) [(-1/9) + (1/x) - (1/9)] / [(1) - (8/9x^2)]

Now, as x approaches negative infinity, the terms (1/x) and (8/9x^2) will approach zero:
lim (x → -[infinity]) [(-1/9) - (1/9)] / [1]
lim (x → -[infinity]) (-2/9) / [1]
The limit of the given function as x approaches negative infinity is -2/9.

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Answer:

A is (-4,-3) and B is (6,-5)

Step-by-step explanation:

Answer: Debit Supplies Expense $877 and credit Supplies $877

Step-by-step explanation:

From the question, we are informed that a physical count of supplies on hand at the end of may for Masters, inc. showed $1,253 of supplies on hand while the general leger balance before any adjusting is $2,130.

The adjusting entry for office supplies that should be recorded on may 31 will be the difference in the physical count and general ledger balance which is ($2130 - $1253) = $877. We then have to debit Supplies expense $877 and then credit supplies $877

Answer:

Shape 2 and 3

Step-by-step explanation:

shape 1 is not enclosed so it cannot have area

The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.

Based on the given information from the graph, we can determine the following:

The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.

Then, there is a downward trend from 3.4 to 4 on the horizontal axis.

From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.

Therefore, the correct statement is:

Most of the songs were between 3 minutes and 3.8 minutes long.

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Answer:

A

Step-by-step explanation:

To test for a linear relationship in simple linear regression (SLR), we make an inference on the parameter "slope." A significant slope indicates a linear relationship between the independent and dependent variables.

The parameter we make inferences on in simple linear regression (SLR) to test for a linear relationship is the slope. The slope represents the change in the response variable for a one-unit increase in the predictor variable, and it indicates the strength and direction of the linear relationship between the two variables.
In statistics, simple linear regression is a linear regression model with explanatory variables. That is, it contains two sample points with one independent and one dependent variable (usually x and y coordinates in the Cartesian coordinate system) and shows the line as the function (a non-continuous line) that is the true value of the dependent variable. the variable is approximately a function of the independent variable. The adjective simply refers to the fact that different outcomes are associated with a different predictor.

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Answer:

porky-pine

Step-by-step explanation:

f68viyv7tx57d7rz47ze6z6exurxtuxruxr6xr7xrxe5z6exticrxr6xr6x

The statement a base class cannot contain a pointer to one of its derived classes is false because a base class can indeed contain a pointer to one of its derived classes.

In object-oriented programming, a base class can have a pointer to one of its derived classes. This is known as upcasting or polymorphism. Upcasting allows for the flexibility of treating derived class objects as instances of the base class.

By using pointers, a base class can refer to derived class objects and access their member functions and variables. This enables the base class to work with different derived classes without needing to know their specific types.

Pointers to derived classes can be stored in base class member variables or passed as function parameters. This allows for dynamic binding and the ability to invoke overridden functions based on the actual derived class type at runtime.

This concept is fundamental to achieving polymorphism and code reusability in object-oriented programming languages like C++ and Java. It facilitates the implementation of inheritance hierarchies and the ability to work with objects of different derived classes through a common base class interface.

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Answer:

1. x = -6

2. x = -10

3. x = 12

4. x = 13/2 (can be rewritten as 6 1/2 or 6.5)

5. x = 8

6. x = -3

7. x = -5

8. x = 12

9. x = -13

Answer: The figure changed size.

Step-by-step explanation:  Dilations change the sizes of shapes.  They can either make them bigger or make them smaller.