please help step by step -8n +3 +n + 11

Answer:

C.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point (5, 1)

Point (9, -6)

Step 2: Identify

x₁ = 5, x₂ = 9

y₁ = 1, y₂ = -6

Step 3: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Here,

two points are (5,1) and (9,-6)

So,

x1=5

x2=9

y1=1

y2= -6

we know that,

Distance formula:- \(\bold{D=\sqrt{(x_2 - x_1 )^2+(y_2 - y_1)^2} }\)

According to the question,

Distance between (5,1) and (9,-6)

\(\bold{D=\sqrt{(5-9)^2+(1-\{-6\})^2} }\)

\(\bold{D=\sqrt{(5-9 )^2+(1+6)^2} }\)

so,

option C is correct..

SOLUTION:

Case: Probability (Deck of cards)

A standard 52-card deck comprises 13 ranks in each of the four French suits: clubs (♣), diamonds (♦), hearts (♥) and spades (♠). Each suit includes three court cards (face cards), King, Queen and Jack, with reversible (double-headed) images. Each suit also includes ten numeral cards or pip cards, from one to ten. The card with one pip is known as an Ace. Each pip card displays the number of pips (symbols of the suit) corresponding to its number, as well as the appropriate numeral (but "A" for the Ace) in at least two corners.

Given:

A deck of cards

Required: To find the probability of obtaining a card that is has the number 3 and is black

Method:

Step 1: First, the total number of cards in a deck is 52

Step 2: The total obtainable black number 3 cards are:

3 clubs and 3 spades. This is a total of 2 outcomes

Step 3: The probability of getting a the number 3 and is black is:

Final answer:

The probability is 1/26

Answer:

f(x)=x^3 - 13x^2 + 40x + 17

Step-by-step explanation:

x-0=0    x-5=0       x-8=0

  x=0        x=5           x=8

y=x(x-5)(x-8)+b  ==> b is what's going to be used to find the equation so that

                                y=17 when x=0

17=0(0-5)(0-8)+b  ==> plugin 0 for x and 17 for y

17=0*(-5)*(-8)+b  ==> simplify

17=0+b  ==> anything multiplied by 0 is 0.

b=17  

Hence, the equation is:

y=x(x-5)(x-8)+17  ==> expand this equation

y=x*(x-5)(x-8) + 17

y=x*(x(x - 8) - 5(x - 8)) + 17  ==> distribute x-8 to x and -5

y=x*(x*x - 8x - 5x - (8)(-5)) + 17  ==> distribution property

y=x*(x^2 - 13x - (-40)) + 17   ==> simplify

y=x*(x^2 - 13x + 40) + 17  ==> subtracting a negative number is equivalent to

                                              adding a positive number

y=x^3 - 13x^2 + 40x + 17 ==> multiply x with x^2, 13x, and 40 using the

                                              distribution property.

Answer: f(x)=x^3 - 13x^2 + 40x + 17

Answer: Okay, lets explain.

Step-by-step explanation:Since 0, 5 & 8 are given as the zeros of the required 3rd degree polynomial f(x), therefore, one may take it as ; f(x) =k (x-0)(x-5)(x-8)

= k(x³−13x²+40) …. .. .(1) . Since f(10) = 17 (given), it implies 17 = k(1000 -1300 + 400) = 100 ==> k = 17/100 = 0.17 . Put this value of k in eq(1) and get the required polynomial.

Answer:

48

Step-by-step explanation:

Answer:

y - intercept: 3/4

slope: -5/4

Step-by-step explanation:

put into slope-intercept form first, y = -5/4x + 3/4

then you can see that the slope and y - intercept are -5/4 and 3/4

Answer:

The answer for the y-intercept is (0, -3/4). The answer for the slope is -5/4.

Step-by-step explanation:

You know this because you must pull the 4 out of the equation, along with the y, so it is -4y=5x+3. You would put both of these numbers over 4: (5 and 3). A positive number which is 5, divided by a negative gives you negative so you can just say -5/4. Same with +3/-4. You can change it to -3/4, because positive over negative equals negative answer.

The coefficient of determination or R² is a statistic that measures the correlation between a regression line and a set of points. It represents how much of the variation in the dependent variable is explained by the independent variable in a linear regression model.

It's a number between 0 and 1, and the closer it is to 1, the better the model fits the data. To calculate R², the formula is:

R² = 1 - (SSres/SStot),

where SSres is the sum of squared residuals (the difference between the predicted and actual values) and SStot is the total sum of squares (the difference between each value and the mean).

In the given problem, we have a regression equation of ŷ = 2.9x – 34.7, which means that the predicted value of y (or ŷ) is equal to 2.9 times x minus 34.7.

To predict the value of y when x = 44, we can substitute the value of x into the equation and solve for ŷ:

ŷ = 2.9(44) - 34.7ŷ = 127.3

Therefore, when x = 44, the predicted value of y is 127.3.

To calculate the coefficient of determination, we need to know the sum of squared residuals and the total sum of squares, which we can find using the original data set.

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Answer:

complements of the same angle are congruent

Step-by-step explanation:

edge bro

The correct justification is complements of the same angle are congruent.

The angles whose sum is 90° are called complementary angles.

Given that, ∠CEF is complementary to ∠DCF, then ∠DCF ≅ ∠FEG, we need to justify this,

Angles are congruent if they have the same angle measure.

Angles are complementary if their sum = 90°

∠CEF is complementary to ∠DCF

∠CEF + ∠DCF = 90°

While ∠CEF & ∠FEG are also complementary

as ∠CEF + ∠FEG = 90°

∠CEF + ∠DCF  = ∠CEF + ∠FEG

∠DCF = ∠FEG

∠DCF ≅ ∠FEG

∠DCF & ∠FEG both are Complements of the ∠CEF

∵ Complements of the same angle are congruent.

Hence, correct justification is complements of the same angle are congruent.

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To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.

To write the equation of the line with an x-intercept at -6 and a y-intercept at 2, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.

In this case, the y-intercept is given as 2, so the equation becomes y = mx + 2. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) with the given points (-6, 0) and (0, 2). We find that the slope is 1/3. Thus, the equation of the line is y = (1/3)x + 2.

For the polynomial f(x) = -3x² + 6x, the degree is 2 and the leading coefficient is -3. The end behavior of the graph is determined by the degree and leading coefficient. Since the leading coefficient is negative, the graph will be "downward" or "concave down" as x approaches positive or negative infinity.

To find the zeros, we set the polynomial equal to zero and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two solutions: x = 0 and x = 2.

The x-intercept is the point where the graph intersects the x-axis, and since it occurs when y = 0, we substitute y = 0 into the polynomial and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two x-intercepts: (0, 0) and (2, 0).

To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.

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The maximum height of the rocket is 50 meters.

The path of a particular fireworks rocket is modeled by the given equation:

\($$h(t) = -5t^2 + 30t + 5$$\)

where h is the height of the rocket in meters and t is the time in seconds. To find the maximum height of the rocket, we need to find the vertex of the parabola. We can do this by using the formula:-

b/2a for the t-coordinate and then substitute the value of t in the equation to find the corresponding height. The general form of a quadratic function is given as

\($$f(x)=ax^2+bx+c$$\)

where a, b, and c are constants; a ≠ 0.

The vertex of the quadratic function is given as

\($$( -\frac{b}{2a},f(-\frac{b}{2a}))$$\)

Therefore, the formula for the t-coordinate of the vertex of the parabola is:

\($$t = -\frac{b}{2a}$$\)

Here, a = -5 and b = 30. Substituting these values in the above formula, we get:

\($$t = -\frac{30}{2(-5)} = 3$$\)

The corresponding height can be found by substituting t = 3 in the equation for h(t):

\($$h(3) = -5(3)^2 + 30(3) + 5 = 50$$.\)

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Yes, a 4 year old can typically count to 100.

Counting is the process of determining the number of elements in a given set or group of objects. Counting is a basic numerical skill that is used in mathematics and other fields. It involves recognizing patterns and comparing numbers to identify how many items are in a given set. Counting is an important part of early childhood education, as it introduces children to the concepts of number and quantity.

Depending on the child's exposure to numbers, they may be able to count even higher. Counting to 100 is a fundamental skill that can be developed through practice and repetition. Teaching a 5 year old to count to 100 can be done through activities such as counting objects, counting steps, and playing counting games.
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Answer:

now we made each other happy

Step-by-step explanation:

Answer:

Thanks for freeeeee points

Answer:

Step-by-step explanation:

2+7+2 seems to be right which is 11

2+7+2 = 11 ft

πd

7π = 21.98

21.98/2 = 10.99

10.99+11 = 21.99 ft

The mistake was that however they may have solved what 7π was, it is a semi-circle so they have forgotten to half 7π

The caterpillar touches 15 points with two integer coordinates, including the start point (-3, -4) and the end point (25, 38).

What is co-ordinate geometry ?

Coordinate geometry is a branch of mathematics that deals with the study of geometry using the principles of algebra. In coordinate geometry, geometric figures are represented using algebraic equations and analyzed using techniques from algebra and calculus.

The caterpillar moves from (-3, -4) to (25, 38) in a straight line. We can find the equation of the line passing through these two points using the slope-intercept form of the equation of a line:

y - (-4) = (38 - (-4))/(25 - (-3)) * (x - (-3))

y + 4 = 42/28 * (x + 3)

y = 3/2 * x + 19

The caterpillar touches a point with two integer coordinates whenever x and y are both integers. To find these points, we can substitute integer values for x and solve for y. Since the slope of the line is 3/2, every time x increases by 2, y increases by 3.

Starting from x = -3, we can list the integer values of x that the caterpillar touches:

-3, -1, 1, 3, 5, ..., 25

For each value of x, we can compute the corresponding value of y using the equation of the line:

y = 3/2 * x + 1

For example, when x = -3, y = 3/2 * (-3) + 19 = 14.5, which is not an integer. When x = -1, y = 3/2 * (-1) + 19 = 17.5, which is also not an integer. However, when x = 1, y = 3/2 * 1 + 19 = 20, which is an integer. Similarly, we can find the integer values of y for all the other values of x.

Therefore, the caterpillar touches 15 points with two integer coordinates, including the start point (-3, -4) and the end point (25, 38).

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Answer:

The answers are 34 on the in side and 57 on the out side

Step-by-step explanation:

This is because if you subtract 4 from 9, you will get 5. when you subtract 4 from 19, you will get 15.

I hope this helps

Answer:

In: 33 Out: 29

In: 62 Out: 58

Step-by-step explanation:

Lets find the rate of change first;

\(\frac{y^{2}-y^{1} }{x^{2}-x^{1} }=\frac{15-5}{19-9}=\frac{10}{10}=1\)

Using polynomial expansion, the resulting expression contains exactly 1001 terms that include all four variables a, b, c, and d, each to some positive power is 14.

According to the question,

For some particular value of N, when (a + b + c+ d+ 1)²  is expanded and like terms are combined, the resulting expression contains exactly 1001 terms that include all four variables a, b, c, and d, each to some positive power.

Polynomial expansion :

(a + b)ⁿ = Cₙ⁰ aⁿ + Cₙⁿ⁻¹ aⁿ⁻¹ b + ....+ Cₙⁿbⁿ

\(x_{a} + x_{b} + x_{c} + x_{d} + x_{1}\) =N

\(x_{a} > 1 x_{b} > 1x_{c} > 1x_{d} > 1x_{1}\) >0

Positive integer solution:

\(x_{a} + x_{b} + x_{c} + x_{d} + x_{1}\) = N+1

Non - Negative integer solution:

\(x_{a} + x_{b} + x_{c} + x_{d} + x_{1}\) =N -4

C⁴ₙ = 1001

1001 = 7.11.13 after some trial and error we find  that is N is equal to 14.

Hence, using polynomial expansion, the resulting expression contains exactly 1001 terms that include all four variables a, b, c, and d, each to some positive power is 14.

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Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

EXPLANATION

Let's see the facts:

Call for---> 3.5 lbs of stew meat

Refrigerator -------> 1.25 lbs stew meat

He would buy:

Required - Available ----> 3.5 - 1.25 = 2.25 lbs of stew meat

The operation that we apply is subtraction because 3.5lbs (required) is greater than 1.25lbs (available).

Answer:

[see below]

Step-by-step explanation:

If you are given a fraction, convert it into a decimal by diving the numerator by the denominator.

After converting it into a decimal, you multiply it by 100 to get the percent value. After that, you add the percent sign.

Example:

\(\text{Convert \frac{5}{10} into a percent.}\)\(\text{Convert } \frac{5}{10} \text{ into a percent.}\\\\\\\rightarrow \text{Step One: Convert into decimal.}\\\\\frac{5}{10}=0.5\\\\\rightarrow \text{Step Two: Multiply by 100 and then add percent sign.}\\\\0.5 * 100 = 50\\\\\)

50%

\(\frac{5}{10}=50\)%

Hope this helps.

Answer:

Divide the numerator into the denominator, then move the decimal 2 places to the right.

Step-by-step explanation:

Let's use 3/4 as an example.

Divide 3 into 4 and you get 0.75

Move the decimal 2 places to the right and you get 75

Then just add a percent sign (75%)

I hope this helps, and have a great day! :)

The green shapes in the rectangular prism with dimensions 4 in by 4 in by 5 in would be circles.

In a rectangular prism, all faces are rectangles except for the two bases, which are squares when the prism is a right rectangular prism. Since the given dimensions of the rectangular prism are 4 in by 4 in by 5 in, the bases would be squares with sides measuring 4 in.

The question mentions green shapes, and based on the information provided, it can be inferred that the faces of the bases would be colored green. Since the bases are squares, the green shapes would be squares as well.

It's important to note that without further information or context, it is not possible to determine if any other faces or shapes within the rectangular prism are green. The given dimensions only indicate the shape of the bases, which are squares, and suggest that these squares could be colored green.

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The AA Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. We can complete the figure by drawing a line segment of length 10.5 from point A to point H.

Using this theorem, we can write the following if-then statement to describe the given illustration:

If angle RH is congruent to angle A and angle NH is congruent to angle E, then triangle PHN is similar to triangle AHE.

This means that the corresponding sides of these triangles are proportional to each other. We can use this information to complete the figure by finding the length of side AH.

Since triangle PHN is similar to triangle AHE, we can set up the following proportion:

PH/AH = HN/HE

We know that PH = 6 and HN = 8, and we want to find AH. Let x represent the length of AH.

6/x = 8/14

Cross-multiplying gives us:

6 * 14 = 8 * x

Simplifying:

84 = 8x

Dividing both sides by 8:

x = 10.5

Therefore, we can complete the figure by drawing a line segment of length 10.5 from point A to point H.

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Answer:

$18

Step-by-step explanation:

1 pound of raisins = $2

1 pound of almonds = $5

Let the number of raisins be represented by a

Let the number of almonds be represented by b

We are told in the question that:

Six pounds of a trail mix contains 2 more pounds of raisins than almonds.

a + b = 6 pounds

Hence, Almonds = 2 pounds

Raisins = 4 pounds

The cost of the 6 pounds of trail mix

= 4 × $2 + 2 × $5

=$8 + $10

= $18

The height of the oak tree in front of Igor's castle is approximately 57.27 ft. To find the height of the oak tree, we can use the principle of similar triangles.

The height of the tree can be determined by comparing the ratio of the height of Igor to the distance between Igor and the mirror with the ratio of the height of the tree to the distance between the mirror and the tree.

Let's represent the height of the oak tree as 'h'. According to the problem, Igor's eye height is 4.5 ft, and he is 5.5 ft away from the center of the mirror. The mirror is placed 70 ft from the tree.

Using the similar triangles concept, we can set up the following proportion:

(height of Igor) / (distance between Igor and mirror) = (height of tree) / (distance between mirror and tree)

Plugging in the given values, we have:

4.5 ft / 5.5 ft = h / 70 ft

Solving this proportion, we find:

(4.5 ft * 70 ft) / 5.5 ft = h.

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Answer:

A. 25:30

Sorry I'd help with the rest but my brain kinda died

Answer: 2 hours 15 minutes

Step-by-step explanation:

3/4 of an hour times 3 will be 9/4; each fourth is 15 minutes. 9 times 15 is 135 minutes, which is 2 hours and 15 minutes

Answer:

2.25 hours

Step-by-step explanation:

The man traveled 1/3 of the distance in 3/4 of an hour.

This means that he needs to travel for 3 times as long to travel the entire distance.

3 * 3/4 = 9/4 = 2.25

2.25 hours.

Or, 2 hours and 15 minutes (as 0.25 = 1/4).

Answer:

Option A

Step-by-step explanation:

A type II error occurs when the researcher fails to reject the bull hypothesis when it is false.

In this study, the

null hypothesis is H0:µ = 0.82 while the alternative hypothesis is H1:µ > 0.82

Thus, the type II error will be that the fish is accepted by the FDA when in fact it had more than 0.82 ppm of mercury.

Answer:

Step-by-step explanation:

Represent the larger and the smaller numbers by y and x.  Then:

y = 10(x - 1) and x = (y/2) - 3

Smaller number is 3 less than half a larger number is x=y/2-3 and  larger number is 10 times 1 less than the smaller number is y=10(x-1)

Two or more expressions with an Equal sign is called as Equation.

Given that x  represent the smaller number

Let y represent the larger number.

A smaller number is 3 less than half a larger number.

Half a larger number means 1/2 of y which is y/2.

3 less than half a larger number means y/2-3.

So smaller number is 3 less than half a larger number is x=y/2-3.

The larger number is 10 times 1 less than the smaller number.

The times in the sentence means product or multiplication.

So it can be represented by the equation as shown

y=10(x-1)

Hence, smaller number is 3 less than half a larger number is x=y/2-3 and  larger number is 10 times 1 less than the smaller number is y=10(x-1).

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Reflection over the x-axis transforms the point (x,y) into (x, -y), then

A(1,8) → A''(1, -8)

M(6,8) → M''(6, -8)

P(2,3) → P''(2, -3)

Rotation 90° clockwise transform the point (x, y) into (y, -x), then

A''(1, -8) → A'(-8, -1)

M''(6, -8) → M'(-8, -6)

P''(2, -3) → P'(-3, -2)

Answer:

  0

Step-by-step explanation:

You want the probability P(A|B) when events A and B are mutually exclusive.

The formula for conditional probability is ...

  P(A|B) = P(A&B)/P(B)

When events are mutually exclusive, they occur together with probability 0 (never). Hence, ...

  P(A|B) = 0/P(B)

  P(A|B) = 0

To determine the point estimate of the population proportion, we can take the midpoint of the confidence interval, which is (0.201 + 0.249) / 2 = 0.225.

To find the margin of error, we can use the formula:

margin of error = (upper bound - point estimate) / z*,

where z* is the z-score corresponding to the desired level of confidence. Let's assume a 95% confidence level, which corresponds to a z-score of 1.96.

margin of error = (0.249 - 0.225) / 1.96 = 0.0122

Therefore, the margin of error is approximately 0.0122.

Finally, we don't know the number of individuals in the sample with the specified characteristic, x, so we cannot determine this value.

Again, to determine the point estimate of the population proportion, we can take the midpoint of the confidence interval, which is (0.051 + 0.074) / 2 = 0.0625.

To find the margin of error, we can use the same formula as above:

margin of error = (upper bound - point estimate) / z*

Assuming a 95% confidence level:

margin of error = (0.074 - 0.0625) / 1.96 = 0.0059

Therefore, the margin of error is approximately 0.0059.

Finally, we don't know the number of individuals in the sample with the specified characteristic, x, so we cannot determine this value.

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