How many batches of muffins can you make from a 4lb bag of sugar if a batch takes 3/4 cup

Answer: YES!

Step-by-step explanation:

Assuming ABCD is a parallelogram, the opposite sides are parallel

AB║DC     and       AD║ BC

Lines a and d, and b and c are not parallel in a quadrilateral with given angles A = 2x, B = 90, C = x, and D = 3x degrees. None of the pairs of opposite sides show consecutive interior angles summing to 180 degrees, which would be required if they were parallel.

When determining if lines a and d, and b and c are parallel in a figure where the angles have been given as A = 2x degrees, B = 90 degrees, C = x degrees, and D = 3x degrees, we must use the properties of angles and parallel lines to justify the answer.

First, let's establish the relationship between the angles. Since B is a right angle, we know that the figure at least has one right angle. The sum of the angles in any quadrilateral is 360 degrees. Therefore, we can set up the equation 2x + 90 + x + 3x = 360 to find the value of x.

Combining like terms gives us 6x + 90 = 360. Subtracting 90 from both sides gives us 6x = 270. Dividing both sides by 6 gives us x = 45 degrees.

The value of A is 2x, which means A = 90 degrees. The value of C is x, which means C = 45 degrees. The value of D is 3x, which is 135 degrees. Since A + D = 90 + 135 = 225 degrees, which is not equal to 180 degrees, lines a and d are not parallel. Similarly, since the value of B is 90 degrees, and C is 45 degrees, B + C = 90 + 45 = 135 degrees, which is also not equal to 180 degrees and hence lines b and c are not parallel.

According to the consecutive interior angles formed by a transversal cutting across parallel lines, these angles should add up to 180 degrees if the lines are parallel. Since our calculations show that A + D and B + C do not add up to 180 degrees, we have sufficient proof that lines a and d and lines b and c are not parallel.

Plug the x-values from the table into the given equation and solve for y.

y = 5 - x²

First column

replace x with -2

y = 5 - (-2)²

  = 5 - (4)

  = 1

(x, y) = (-2, 1)

Second column

replace x with -1

y = 5 - (-1)²

  = 5 - (1)

  = 4

(x, y) = (-1, 4)

Third column

replace x with 0

y = 5 - (0)²

  = 5 - (0)

  = 5

(x, y) = (0, 5)

Fourth column

replace x with 1

y = 5 - (1)²

  = 5 - (1)

  = 4

(x, y) = (1, 4)

Fifth column

replace x with 2

y = 5 - (2)²

  = 5 - (4)

  = 1

(x, y) = (2, 1)

I'd like to answer your question but there's not enough information.

Answer:

there needs to be a better explantion

Step-by-step explanation:

That's true. If A is a subset of B, it means that every element in A is also an element in B. This means that B has, at least, as many elements as A. Nothing prevents B from having more elements though, which don't belong to A.

Consider this example:

[tex] A = \{1,2,3,4\},\quad B=\{1,2,3,4,5,6\} [/tex]

A is a subset of B, because every element of A (1,2,3,4) is also an element of B (1,2,3,4 are in B as well).

Still, B has two more elements (5,6) which don't belong to A, so a superset can have (and typically does actually) more elements than its subset.

Final answer:

The statement is true; if set A is a subset of set B (A⊂B), it means all elements of A are also in B, but B can have more elements.

Explanation:

The statement If a ⊂ b, b may have more elements than a is true. In set theory, the symbol ⊂ denotes that one set is a subset of another. If we say that set A is a subset of set B (A⊂B), it means that all elements of A are also in B. However, B can have additional elements that are not in A, which would make it larger. To illustrate, if we have A = {1,3} and B = {1,2,3,4}, A is a proper subset of B because all elements of A are in B, but B has more elements (2 and 4) that are not in A. If A and B were identical, then we would say A = B, not A⊂B.

For this case we have the following expression:

[tex]k (x) = x (x + 2) ^ 3 (x + 4) ^ 2 (x-5) ^ 4\\[/tex]

The roots are:

[tex]x = -2\\\\x = -4\\\\x = 5\\\\x = 0\\[/tex]

For example: For x = 0 we have

[tex]k (0) = 0 (0 + 2) ^ 3 (0 + 4) ^ 2 (0-5) ^ 4\\\\k (0) = 0 (2) ^ 3 (4) ^ 2 (-5) ^ 4\\\\k (0) = 0 (8) (16) (625)\\\\k (0) = 0\\[/tex]

so it is shown that [tex]x = 0[/tex] is a root.

By definition, multiplicity represents the number of times a root is repeated in a polynomial, in turn it is given by the degree of the term that contains the root.

Thus:

The multiplicity of 0 is 1

The multiplicity of -2 is 3

The multiplicity of -4 is 2

The multiplicity of 5 is 4

Answer:

The multiplicity of 0 is 1

The multiplicity of -2 is 3

The multiplicity of -4 is 2

The multiplicity of 5 is 4

GGGGGGGGGGGGGGGGGGGGGGGGGGGOOOOOOOOOOOOOOOOOOTTTTTTTTTTTTTTTTTTTAAAAAAAAAAAAAAAAAAA snatch a lil bit of points rq

Answer:

Step-by-step explanation:

[tex]\text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have}\\\\leg=a=3b\\leg=b\\hypotenuse=2\sqrt{10}\\\\\text{Substitute}\\\\(3b)^2+b^2=(2\sqrt{10})\qquad\text{use}\ (ab)^n=a^nb^n\\\\3^2b^2+b^2=2^2(\sqrt{10})^2\qquad\text{use}\ (\sqrt{a})^2=a\ \text{for}\ a\geq0\\\\9b^2+b^2=4(10)\qquad\text{combine like terms}\\\\10b^2=40\qquad\text{divide both sides by 10}\\\\b^2=4\to b=\sqrt4\\\\b=2[/tex]

Answer,

1) -2

2) 3/b (Reciprical means flipping the fraction)

3) -5 for number (Question 11)

4) Number 12 I couldn't tell if the sign was a dividing sign or a plus sign.

5) I'm not very good with word problems so, I won't be much help. But, I think they want you to subtract the highest temperature from the lowest.

Answer:

2.897

Step-by-step explanation:

Let us find the mean and variance for the sample first.

105 104 110 112

114 106 108 109

Mean = sum/8 = 108.5

Variance = 12

Std dev = sq rt of variance = 3.464

Std error = std dev/ sq rt n

since n =8, we get std error = 1.225

Since sample size is small, df =8-1 =7

For 95% confidence intervals, t critical value for two tailed=2.365

Margin of error = std error x t critical = 1.225(2.365)

=2.897

1. Factor x^3 + 9x^2 + 6x - 16 using Polynomial Division

(x^2 + 10x + 16)(x -1)

2. Factor x^2 + 10x + 16

(x + 2)(x + 8)(x - 1)

Answer: x - 1

Answer:

x - 1

Step-by-step explanation:

width = volume / height * length

= x^3 + 9x^2 + 6x - 16 / (x + 2)(x + 8)

Since the volume ends in -16  and  last term of denominator

= +2 * + 8 = +16  the least term of the width will be - 1.

Also x^3 / x^2 = x

so the answer is (x - 1)

[tex]x^3+8y^6\\\\=x^3+2^3y^{2\cdot3}\\\\=x^3+2^3(y^2)^3\qquad|\text{used}\ (a^n)^m=a^{nm}\\\\=x^3+(2y^2)^3\qquad|\text{used}\ (ab)^n=a^nb^n\\\\=(x+2y^2)(x^2-x\cdot2y^2+(2y^2)^2)\qquad|\text{used}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(x+2y^2)(x^2-2xy^2+2^2(y^2)^2)\\\\=(x+2y^2)(x^2-2xy^2+4y^4)[/tex]

Answer:

K12 Here 100% verified

Step-by-step explanation:

Use the order of operations (PEMDAS):

Parentheses, Exponents, Multiplication & Division, and then Addition & Subtraction

************************

1) (8 - 2) + 18 x 6

Parentheses (8 - 2)          

6 + 18 x 6    

Multiplication (18 x 6)

6 + 108

Addition (6 + 108)

114

**************************

2) (15 + 29 - 4) x 4

Parentheses (15 + 29 - 4)  

40 x 4

Multiplication (40 x 4)

160  

******************************

3) (13 + 5) x (13 - 5)

Parentheses (13 + 5) and (13 - 5)

18 x 8

Multiplication (18 x 8)

144

*********************************

Answers: 114, 160, 144

Final answer:

To estimate the cost of 7.8 pounds of potatoes at a price of $3.25 per pound, multiply the price by the number of pounds, resulting in a total estimated cost of $25.35.

Explanation:

We need to estimate the cost for 7.8 pounds of potatoes given that potatoes cost $3.25 per pound. To do this, we multiply the price per pound by the number of pounds:

Cost = Price per pound × Number of pounds

Cost = $3.25 × 7.8 pounds

After performing the multiplication, we find that:

Cost = $25.35

Therefore, the estimated cost for 7.8 pounds of potatoes at a price of $3.25 per pound is $25.35.

He spent roughly $903

Answer: 903

Step-by-step explanation:

Answer:

[tex]36.1[/tex] square feet of floor was carpeted.

Step-by-step explanation:

Number of Square feet = Length of the room * Width of the room

Now we have to substitute the values to the above equation,

Number of square feet = [tex]20\frac{1}{2} *15\frac{3}{5}[/tex]

                                      =[tex]\frac{41}{2} +\frac{78}{5}[/tex]

                                      =[tex]\frac{205+156}{10}[/tex]

                                      =[tex]\frac{361}{10}[/tex]

                                      =[tex]36.1[/tex] feet

[tex]-10 < -2x+4\leq8\ \ \ \ |-4\\\\-14 < -2x\leq4\ \ \ \ |\text{change the signs}\\\\14 > 2x\geq-4\ \ \ \ |:2\\\\\boxed{7 > x\geq-2}\to\boxed{-2\leq x < 7}[/tex]

The correct answer is x=-3.

Given equation:

[tex]\frac{4}{3}x-7 = -11[/tex]  ----- (A)

To solve the above equation, follow these steps:

Step-1:

Add 7 on both sides of equation (A):

(A)=> [tex]\frac{4}{3}x -7 + 7 = -11 + 7 \\ \frac{4}{3}x = -4[/tex]

Step-2:

Multiple 3 on both sides, you will get:

[tex]\frac{4}{3}x * 3 = -4 * 3 \\ 4x = -12 \\ x = -3[/tex]

Hence the correct answer is x=-3.

Answer:

The value of x is -3.

Step-by-step explanation:

Given equation:

4/3 x-7=-11

By adding 7 to both sides of equation:

= 4/3x - 7 + 7 = -11 + 7

= 4/3x = -4

By multiplying 3 on both sides

= 4/3x × 3 = -4 × 3

= 4x = -12

By dividing 4 on both sides of equation:

= 4x/4 = -12/4

= x = -3

Hence by solving equation, the value of x out to be -3.

b – 2a – c

9 - 2(-3) - (-6) = ?

9 - 2(-3) - (-6) = 21

The total number of people that all the cars can hold is greater than 480 and less than 500 people.

A:  According to the given situation, where both the number of trolley cars and the number of people in each car must have two digits and be less than 30.

Hence, the possible number of trolley cars in the park = 22 and a possible number of people in each car= 22

B: explain how you found your answer.

Lets suppose the number of cars be =c and the number of persons be= p

As the number of cars and number of person are same, so c=p

so, [tex]c\times c[/tex] should lie the given range of 480 to 500.

Now, the nearest perfect square that lies between 480 and 500 is 484.

The square root of 484 is 22. So, the number of cars and people are 22.

C: This is the only hit and trial method for solving this question.

Answer:

In these functions translation is used.

The transformation means that vertex of function m(s) is translated 18 units downwards.

Step-by-step explanation:

We have been given that average gas mileage m in miles per gallon for a compact car is modeled by  m(s) = - 0.015(s - 47)2 +33 and mileage for an SUV is modeled by my(s) = -0.015(s - 47)2 + 15.

We can see that both functions are parabolic and opens downwards. The vertex of function m(s) is (47,33), while vertex of function my(s) is (47,15). We can describe this change by translation.

This transformation means that function m(s) is translated 18 units downwards and average mileage of SUV is 18 miles/hour lesser than compact car at equal speeds.

The change is a vertical shift, meaning that the SUV's gas mileage drops lower than the compact car's at the same speed, but the rate at which the mileage decreases with speed is identical.

The transformation that describes the change from the compact car's gas mileage model to the SUV's model is a vertical shift. This is because the two equations are identical, except for the constant at the end (33 in the compact car's equation and 15 in the SUV's equation). This constant indicates the vertical position of the parabola described by the equation, so by changing the constant, you're vertically shifting the parabola without changing its shape or orientation.

A vertical shift of the parabola in this context means that the SUV's gas mileage drops lower than the compact car's gas mileage at the same speed. The number being subtracted from the parabola to achieve the shift (-0.015(s - 47)2) remains the same for the SUV and the compact car, meaning the rate at which the mileage changes with speed is the same, but the overall mileage of the SUV is lower due to the difference in constants (33 for the compact car and 15 for the SUV).

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A table represents a function if each input in the table is paired with exactly one unique output. To affirm if a table represents a function, one would have to ensure there are no repeated inputs with different corresponding outputs. Without the actual data, we cannot conclusively decide whether a given table is a function.

To determine if a table represents a function, we must assess if each input (domain element) corresponds to exactly one output (range element). A function is a set of ordered pairs where no two distinct pairs have the same first element. If a table has rows where the first entry (the input or 'x' value) repeats with different second entries (outputs or 'y' values), it does not represent a function since it fails to assign a single unique value to that input.

For a geometric representation, if a graph passes the vertical line test, it is a function. This means that a vertical line drawn through any point on the graph only crosses it once. If the acceleration, velocity, or any other variable changes over time and can be represented in a table with unique outputs for every time instant, that table exemplifies a function of time.

Without specific table data, we cannot definitively answer whether the provided table represents a function. If a table shows a unique output for each input without repetition, then it indeed represents a functional relationship.

Answer: D) $19.37

Step-by-step explanation: usatestprep approved

y < -3x - 2

y = -3x - 2

for x = 0 → y = -3(0) - 2 = 0 - 2 = -2 → (0, -2)

for x = -2 → y = -3(-2) - 2 = 6 - 2 = 4 → (-2, 4)

y > -3x + 8

y = -3x + 8

for x = 0 → y = -3(0) + 8 = 0 + 8 = 8 → (0, 8)

for x = 2 → y = -3(2) + 8 = -6 + 8 = 2 → (2, 2)

Answer:

The system of inequalities  y < –3x – 2 y > –3x + 8 doesn't have any solution because their regions are non intersecting.

explanation:

Here given equations are y < –3x – 2 , y > –3x + 8

[tex]$$\begin{aligned}&y < -3 x-2 \\&y=-3 x-2\end{aligned}$[/tex]

For [tex]$x=0 \Rightarrow y=-3(0)-2=0-2=-2 \Rightarrow(0,-2)$[/tex]

For [tex]$x=-2 \Rightarrow y=-3(-2)-2=6-2=4 \Rightarrow(-2,4)$[/tex]

[tex]$$\begin{aligned}&y > -3 x+8 \\&y=-3 x+8\end{aligned}$[/tex]

For [tex]$x=0 \Rightarrow y=-3(0)+8=0+8=8 \rightarrow(0,8)$[/tex]

For [tex]$x=2 \Rightarrow y=-3(2)+8=-6+8=2 \rightarrow(2,2)$[/tex]

Therefore by analyses of graph we can say  that the system of inequalities  y < –3x – 2 ,  y > –3x + 8 doesn't have any solution because their regions are non intersecting.

Learn  more about the Graphical representation here-

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The answer is C: Associative Property of Addition.

Hope this helps! :)

Convert the equations to slope/intercept form:-

4x + 4y = 1

4y = -4x + 1

y = -1x + 1/4     The slope of this line is -1

x + y = -8

y = -1x - 8  This also has a slope of -1

So B is true.  The lines are parallel.

Final answer:

The two lines with equations 4x+4y=1 and x+y=-8 are parallel because they both have the same slope of -1. They do not intersect at the point (0,-8), nor do they share the same x-intercept since their x-intercepts are different when y=0.

Explanation:

To determine the relationship between the two lines with equations 4x+4y=1 and x+y=-8, we should first put them in slope-intercept form, which is y = mx + b, where m represents the slope and b the y-intercept.

For the first equation, dividing every term by 4 yields y = -x + 0.25, which has a slope of -1. For the second equation, we can see directly that rearranging it gives y = -x - 8, which also has a slope of -1.

Since both lines have the same slope, they are parallel. To check if they intersect at the point (0,-8), we can substitute x=0 into both equations. The first equation gives y = 0.25, which is not -8, so they do not intersect at (0,-8). For the x-intercepts, we set y=0 in both equations. The first gives x = 0.25, and the second gives x = -8, so they do not share the same x-intercept either.

Therefore, the correct answer is B. The lines are parallel.

Answer:

28

Step-by-step explanation:

Answer:

It is the 2 one sweetheart.

Step-by-step explanation:

Let [tex] x,y [/tex] be the lengths of the original legs. The original area is thus

[tex] \dfrac{xy}{2} [/tex]

Now, we triple the legs, so we have [tex] (x,y)\mapsto(3x,3y) [/tex]

The new area is

[tex] \dfrac{(3x)(3y)}{2} = \dfrac{9xy}{2} = 9\dfrac{xy}{2} [/tex]

which is 9 times the original area.

So, if you triple both legs, the area will be nine times as much as the original one.