Skyler solved an equation incorrectly, as shown below:

Step 1: 12 + x = 36
Step 2: x = 36 + 12
Step 3: x = 24

Which statement best explains why Step 2 is incorrect in Skyler's solution?

Answer:

b,c

Step-by-step explanation:

b is written  in the written form properly and  is is extended using the right place values

Answer:

6x-

7y

=

-11

6x-7y=-11

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The first table represents the  proportional relationship between x and y

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Proportional relationships are relationships between two variables where their ratios are equivalent.

In the first table the ratio of each variables are equal.

4/2 = 7/3.5 = 8/4= 10/5 =2

So the first table represents a Proportional relationship.

In the remaining tables there is no equal ratio between variables x and y.

Hence, the first table represents the  proportional relationship between x and y

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Answer:

7.5

Step-by-step explanation:

it rounds up to 7.5 because it is closer

The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

The correct answer is A: 600 <= money <= 2822.4.

This represents the range of possible values that Pankaj's accumulated money could fall into, given the specified conditions of the 3% interest rate compounded weekly for a maximum of 2 years. The lower bound, 600, represents the initial deposit amount, while the upper bound, 2822.4, represents the maximum amount of money Pankaj could earn after 2 years, assuming that interest is compounded every week.

Answer:

Y=X-1

Step-by-step explanation:

-1 is the Y intercept and 1x is the slope. Just put X because that is the way to do it. Good luck on your test!

Answer:

Y-x-1 BRAINLIEST PLZZ

Step-by-step explanation:

Answer:

Step-by-step explanation:

I have this saved on my computer in notepad b/c this type of question get asked sooo often :/

point P1 (-4,-2)  in the form (x1,y1)

point P2(3,1)  in the form (x2,y2)

slope = m

m = (y2-y1) / (x2-x1)

My suggestion is copy that above and save it on your computer for questions like this

now use it

Point 1  , P1 = (2,-4)   in the form (x1,y1)

Point 2 , P2 = (4,-1)  in the form (x2,y2)

m = [ -1-(-4) ]  /  [ 4-2]

m =  (-1+4) / 2

m = 3 / 2

so now we know the slope is  3/2  :)  

Answer:

z(w-x) =y

Step-by-step explanation:

w=x + y/z

Subtract x from each side

w-x=x-x + y/z

w-x = y/z

Multiply each side by z

z(w-x) = y/z *z

z(w-x) =y

The nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

To determine the number of Lasix 20 mg tablets that should be administered to the patient, we need to calculate how many tablets are equivalent to the prescribed dose of 80 mg.

Given that each Lasix tablet contains 20 mg of the medication, we can divide the prescribed dose (80 mg) by the dosage strength of each tablet (20 mg) to find the number of tablets needed.

Number of tablets = Prescribed dose / Dosage strength per tablet

Number of tablets = 80 mg / 20 mg

Number of tablets = 4 tablets

Therefore, the nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

It is important to note that this calculation assumes that the Lasix tablets can be divided or split if necessary. However, it is crucial to follow the specific instructions provided by the prescribing physician or consult with a pharmacist if there are any concerns about the appropriate administration of the medication.

Additionally, it is important to consider any additional instructions, such as the frequency and timing of administration, as specified by the physician's order.

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A transformative sequence is a particular arrangement of transforming events. This suggests that a series of transformations may manage more than one transition, and that the order in which they occur is crucial. A and B are similar in this case.

When two figures or objects in geometry have the same shapes, sizes, or are mirror images of one another, they are said to be congruent.

Formally, two sets of points are said to be congruent if, and only if, an isometry, which is a collection of rigid motions including translation, rotation, and reflection, can transform them into one another.

This shows that resizing an object will not allow it to be properly aligned with another object, only by moving and reflecting it. Therefore, two independent plane figures on a piece of paper are congruent if we can cut them out and then precisely line them up. The paper might be distributed.

Each box is the same size in terms of length and width. The only change is where the figure is located.

Transformations can be divided into four categories: translation, rotation, reflection, and dilation.

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Congruent refers to things that are exactly the same size and shape.

Hence, A and B are congruent.

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Answer:

B. two

Hope this helps you!

\( \qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

The given expression is :

\(\qquad \sf  \dashrightarrow \: 5 - 3c + 21\)

Now, first simplify the expression ~

\(\qquad \sf  \dashrightarrow \: 5 + 21 - 3c\)

\(\qquad \sf  \dashrightarrow \: 26 - 3c\)

Count the number of terms ~

Hence, we get the two terms in the given expression.

Answer:

∠1=87°

∠2=42°

∠3=44°

Step-by-step explanation:

180-(43+67)=180-110=70

∠3= 70-26=44

∠3+43°=∠1(Exterior angle property of triangle)

∠1=44+43=87°

∠1=45°+∠2(")

87-45=∠2

∠2=42

Answer:

1=87

2=42

3=44

Step-by-step explanation:

There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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Answer:

\(Number = 2.71 * 10^{-7}\)

Step-by-step explanation:

Given

\(Number = 0.0000002711\)

Required

Write, using scientific notation

The scientific notation is written in the form:

\(Form = a * 10^n\)  Where n is an integer and \(1 \leq a \leq 10\)

To start with; Represent the given number as fraction

\(Number = \frac{2711}{10000000000}\)

Represent the denominator as an exponent

\(Number = \frac{2711}{10^{10}}\)

This can be rewritten in form of:

\(Number = 2711 * 10^{-10}\)

Remember that: \(Form = a * 10^n\)  Where n is an integer and \(1 \leq a \leq 10\)

This implies that; we need to adjust 2711 to a number between 1 and 10;

This gives:

\(Number = 2.711 * 1000 * 10^{-10}\)

Write 1000 as an exponent

\(Number = 2.711 * 10^3 * 10^{-10}\)

Apply law of indices

\(Number = 2.711 * 10^{3-10}\)

\(Number = 2.711 * 10^{-7}\)

The question requires 2 numbers after the decimal point;

So, 2.711 will be approximated to 2.71

\(Number = 2.71 * 10^{-7}\)

Hence;

\(0.0000002711\)  is equivalent to \(2.71 * 10^{-7}\)

The first equation is incorrect.

The second equation is correct.

The third equation is correct.

Let's go through each equation and determine whether it is correct or incorrect:

(b²+7b-9)+(4b-6b²) = -8b² + 14b-9

To determine if this equation is correct, we need to simplify both sides and check if they are equal.

On the left side:

(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9

On the right side:

-8b² + 14b - 9

Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.

(4a+6)-(3a²-9a+1)=-3a²+ 13a +5

Again, we need to simplify both sides of the equation and check if they are equal.

On the left side:

(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5

On the right side:

-3a² + 13a + 5

Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.

(12c-8c²)+(5c²- 10c) = -3c²+2c

Again, let's simplify both sides and compare them.

On the left side:

(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c

On the right side:

-3c² + 2c

Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.

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Using the shell method, the volume of the solid generated when R is revolved about the y-axis is V= 324π cubic units.

The shell method refers to a method of finding volumes of the solid by decomposing a solid of revolution into cylindrical shells. It is one of the methods to find the volume of the solid. This solid is generated when region R is rotated about an axis or the y-axis. In case it is y-axis then the following formula is used:

V= ∫_a^b▒〖2πx [f(x)-g(x)]dx〗

Where y = f(x), y = g(x), and the interval is considered as [a,b].

The given curves are: y = 11 − x, y = 0, x = 3, x = 9

V= ∫_3^9▒〖2πx [11-x-0]dx〗

V= 2π∫_3^9▒〖(11x-x^2)dx〗

V= 2π[11/2 x^2-  1/3 x^3]

V= 2π[11/2 9^2-  1/3 9^3-  11/2 3^2+  1/3 3^3]

V= 2π[891/2-  729/3-  99/2+  27/3]

V= 2π[729/2-  702/3]

V= 2π[396-234]

V= 2π[162]

V= 324π cubic units

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Answer:

-4.714

Step-by-step explanation:

Answer:

1 (if the 3 3/7 is positive)

or

-4 5/7 (if the 3 3/7 negative)

Answer:

A) 1

Step-by-step explanation:

To evaluate f(1/3) = 2x + 3x ^2, plug in 1/3 for x.

f(1/3) = 2*(1/3) + 3*((1/3)^2)

Then evaluate

2(*1/3) = 2/3

(1/3)^2 = 1/9 * 3 = 1/3

1/3 + 2/3 = 1

Answer:

x = 1,6 in   ( the side of the corner squares )

V(max) = 67,58 in³

Step-by-step explanation:

The cardboard is:

L = 12 in          w  =  8 in

Let´s call "x" the side of the square from the corner:

Then the sides of the base of the open box are:

( L - 2*x )    and    ( w - 2*x )     and   x is the height

( 12  -  2*x )  and  ( w  - 2*x )

V(ob) = (L - 2*x ) * (  - 2*x ) * x

Wich is a function of x

V(x) = [( 12 - 2*x ) * ( 8 - 2*x ) ]*x

V(x) = ( 96 - 24*x - 16*x + 4*x²) * x

V(x) = 96*x - 40*x² + 4*x³

Tacking derivatives on both sides of the equation

V´(x) = 12*x² - 80*x + 96

V´(x) = 0     12*x² - 80*x + 96 = 0

Solving for x

x₁,₂ = 80 ± √ 6400 - 4608 / 24

x₁,₂ = 80 ± 42,33 / 24

x₁ = 5,10       We dismiss this solution since 2*x  becomes 2*5,10 = 10,20

ant this value is bigger than 8 inches

x₂ = 1,60 in

Therefore dimensions of the box

a = 12 - 2*x     ;  a =  12 - 3,20  ;  a = 8,8 in

b = 8 - 2*x   ; b = 8 - 3,20  ; b =  4,80  in

And the volume of the open box is:

V(max) = 8,8*4,8*1,6

V(max)  =  67,58 in³

How do we Know that is the maximun value for V?

We find  V´´(x)  = 24*x - 80     for  x = 1,6 is negative ( V´´(x) = - 41,6 therefore V (x) has  a local maximun for a value of x = 1,6

Check the picture below.

Julia needs to buy 42 packets of patties to make 500 hamburgers for the school function

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

Hamburger patties are sold in packets of 12. Let x represent the number of packet of patties to be bought to make 500 hamburgers. Hence:

12x = 500

x = 500/12

x = 41.67

x≅ 42

Julia needs to buy 42 packets

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Answer:

g(x)=6-4x

6-4x=-2

-4x=-8

x=2

If A, B and C be events relative to the sample space S, then the Venn diagram of the representing event has been plotted

Let A, B and C be events relative to the sample space S.

The sample space is the set of all possible outcomes of the experiment.

The Venn diagram is the pictorial representation of the sample space of the experiment by using the circles and the overlapping of the circles.

Here we have to plot the each representing events using the Venn diagram representation

Part a

The event is (A ∩ B)'

Plot the Venn diagram

Part b

The event is (A ∪ B)'

Plot Venn diagram

Part c

The event is (A ∩ C) ∪ B

Plot the Venn diagram

Therefore, the Venn diagram of the each event has been plotted

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a. The composite function is N(T(t)) = 290t² - 380t + 386.44

b. the number of bacteria after 5.3 hours is 6519 bacteria.

A function is a mathematical equation that shows the relationship between two variables.

A composite function is a function which contains another function.

Since the number of bacteria in a refrtgerated food product is given by N(T) = 29T² - 76T + 30 , 3 < T < 33 where T is the temperature of the food.

Also, when the food is removed from the refrigerator, the temperature is given by T(t) = 5t + 1.4 where t where t is the time in hours.

So, to find the composite function N(T(t)), we substitute T(t) into N(T).

So,

N(T) = 29T² - 76T + 30

N(T(t)) = 29(5t + 1.4)² - 76(5t + 1.4) + 30

Expanding the brackets, we have that

N(T(t)) = 29(10t² + 14 + 1.96) - 76(5t + 1.4) + 30

N(T(t)) = 290t² + 406 + 56.84 - 380t - 106.4 + 30

N(T(t)) = 290t² - 380t + 406 + 56.84 - 106.4 + 30

N(T(t)) = 290t² - 380t + 386.44

So, the function is N(T(t)) = 290t² - 380t + 386.44

Since N(T(t)) = 290t² - 380t + 386.44 is the number of bacteria after t hours.

To find the number of bacteria after 5.3 hours, we substitute t = 5.3 into the equation.

So,

N(T(t)) = 290t² - 380t + 386.44

N(T(5.3)) = 290(5.3)² - 380(5.3) + 386.44

N(T(5.3)) = 290(28.09) - 380(5.3) + 386.44

N(T(5.3)) = 8146.1 - 2014 + 386.44

N(T(5.3)) = 6518.54

N(T(5.3)) ≅ 6519 bacteria

So, the number of bacteria after 5.3 hours is 6519 bacteria.

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Answer:

(1,2021)

Step-by-step explanation:

P and q can vary subject to their sum being 2020.

Consider one parabola with p1 and q1 and another with p2 and q2.

y1=(x1)^2+(p1)(x1)+(q1)

y1=(x2)^2+(p2)(x2)+(q2)

At their intersection, the x and y coordinates are the same.

y1=y2=y

x1=x2=x

x^2+(p1)x+(q1)=x^2+(p2)x+(q2)

Solve for x

x(p1-p2)=q2-q1

x=(q2-q1)/(p1-p2)

Use the constraint that p+q=2020 to eliminate p1 and p2.

p1=2020-q1

p2=2020-q2

x=(q2-q1)/(2020-q1-2020+q2)

x=(q2-q1)/(q2-q1)

x=1

Substitute in the equation for y.

y=1^2+p(1)+q

y=2021

Answer:

5.625

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

15+15+10+10+6+6= 62

the formula is

answer: 24 sides