Marcus is rewriting a polynomial by combining like terms. Which terms does he still need to combine to finish rewriting the polynomial?

Answer:

Triangle+ 83.25

Square/ Rectangle = 166.5

Step-by-step explanation:

I need the shape specified

Answer:

Step-by-step explanation:

Answer:

not equal to

Step-by-step explanation:

the ")" stands for excluding that last element.

The correct answer is vertex of the graph D. (0, 2).

To find the vertex of the graph of the function y = |x| + 2, we need to determine the point where the function reaches its minimum or maximum value.The graph of y = |x| is a V-shaped graph with the vertex at the origin (0, 0). When we add 2 to this function, the graph is shifted upward by 2 units.So, the vertex of the graph of y = |x| + 2 is at (0, 2).

Therefore, the correct answer is D. (0, 2).The function y = |x| + 2 represents a V-shaped graph, and the vertex of this graph occurs at the origin (0, 0). By adding 2 to the function, the graph is shifted upward by 2 units. Therefore, the vertex of the modified function y = |x| + 2 is found by shifting the original vertex (0, 0) vertically by 2 units. This means the new vertex is located at (0, 2). This point represents the minimum value of the function, as it is the lowest point on the graph.

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Answer:

0.601 = 60.1% probability that the weight of a bag will be less than the maximum allowable weight of 50 pounds

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 49.02 pounds and a standard deviation of 3.83 pounds.

This means that [tex]\mu = 49.02, \sigma = 3.83[/tex]

What is the probability that the weight of a bag will be less than the maximum allowable weight of 50 pounds?

This is the p-value of Z when X = 50. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{50 - 49.02}{3.83}[/tex]

[tex]Z = 0.256[/tex]

[tex]Z = 0.256[/tex] has a p-value of 0.601.

0.601 = 60.1% probability that the weight of a bag will be less than the maximum allowable weight of 50 pounds

9514 1404 393

Answer:

  multiply the radius by √1.2 ≈ 1.0954

Step-by-step explanation:

Let the original depth and radius be represented by 30 and r. Let the modified depth and radius be represented by 25 and r'. Assuming the pond is uniform depth, the formula for the volume of a cylinder applies. The volume of a cylinder is given by ...

  V = πr²h

In this application, we want the original and modified volumes to be the same.

  πr²(30) = π(r')²(25)

  (r')² = r²(30/25) = r²(6/5)

  r' = r√(6/5)

The radius can be multiplied by √1.2 to maintain the original volume of the pond.

9514 1404 393

Answer:

  see attachment

Step-by-step explanation:

The iterator for Newton's method gives the next approximation (x') as ...

  x' = x -g(x)/g'(x) . . . . . where g'(x) is the derivative of g(x)

We have defined g(x) = x^3+x+3, the function we want the zero of. We have defined the iteration function to be f(x).

__

Additional comment

Modern graphing calculators not only make the iteration trivially simple, they also give a first approximation good to 2 or 3 decimal places in many cases.

Answer:

Option 3 is correct

Step-by-step explanation:

Answer:

[tex]x-9[/tex]

Step-by-step explanation:

[tex]side_1=2x+5\\side_2=x+3\\side_3=\phi\\perimeter=\displaystyle\sum_{i=1}^3side_i=(2x+5)+(x+3)+\phi=4x-1\\\phi=4x-1-x-3-5-2x=x-9[/tex]

The length of the third side in terms of x is x+1.

The perimeter of a triangle is the sum of all its three sides.

We can work out the perimeter using the following formula:

The perimeter of a triangle is = sum of all three sides.

The length of the third side in terms of x is given by;

[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c[/tex]

Substitute all the values in the formula

[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c\\\\4x-1=2x-5+x+3+Side \ c\\\\4x-1=3x-2+Side \ c\\\\Side \ c=4x-3x-1+2\\\\Side \ c=x+1[/tex]

Hence, the length of the third side in terms of x is x+1.

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9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

In a square, two sides have equal measures:

  3x +2 = 5x -14

  16 = 2x . . . . . . . . add 14-3x to both sides

  8 = x . . . . . . . . . divide by 2

_____

The side lengths are 3(8) +2 = 26 = 5(8) -14.

Answer:

She didn't put the sign's in the proper place, it should be ( x + 3 ) ( x - 7 )

Step-by-step explanation:

( x - 3 ) ( x + 7 ) = x² + 7x - 3x - 21 = x² + 4x - 21

( x + 3 ) ( x - 7 ) = x² - 7x + 3x - 21 = x² - 4x - 21

Answer:

f(x)=5x+3

Step-by-step explanation:

The slop is 5 and the y intercept is 3

So if you put that in an equation it makes 5x+3

I used the slope formula to find the slope

Subtract the y values over x values

Answer:

x = 2

Step-by-step explanation:

Let the number be x

When we multiply a number by 6 and subtract it by 5, we would get 7.

On multiplication of number x with 6 it will be 6x.12

On subtraction of 5 it will be 6x - 5

6x - 5 = 7

6x = 7 + 5  

6x = 12

x = 12/6

x = 2

Answer:

The number is 2

Step-by-step explanation:

Let the number be n

Multiply the number by 6 = 6n

Subtract 5 from the number , 6n - 5

And we get 7

So , the expression : 6n - 5 = 7

                                6n = 7 + 5

                                6n = 12

                                  n = 2

9514 1404 393

Answer:

  $46.38

Step-by-step explanation:

When a 20% tip is added to the bill, the result is the bill being multiplied by a factor of (1 + 20%) = 1.20.

  1.20 × 38.65 = 46.38

Marina's total with the tip is $46.38.

Answer:

Line A.

Step-by-step explanation:

When you put x as zero into 3x-2, you get 3(0)-2. That equals -2. Therefore, y = -2. When x=0, that is the y-intercept, so the y-intercept is -2. Line A crosses the y-axis at -2, so line A has that y-intercept.

Slope is always y/x. On a graph, that is the number of squares UP over the number of squares ACROSS. Counting, we get, 3 squares up over 1 square across for line A. 3/1= 3. The slope is the number we multiply by x. In the equation, that is 3, because we see 3x, and no sign or space between 2 numbers automatically means we multiply. So line A also has the correct slope.

In linear equations (straight lines), the same slope and y-intercept are enough to tell you that the equation matches the line.

Therefore, the answer is A!

9514 1404 393

Answer:

  x = 24

Step-by-step explanation:

The two angles are complementary, so their sum is 90°.

  x° +(3x -6)° = 90°

  4x = 96 . . . . . . . . . . . . divide by °, add 6

  x = 24 . . . . . . . . . . . . . divide by 4

Answer:

I don’t know

Step-by-step explanation:

Step-by-step explanation:

(A U B) = {1,2, 4, 6, 7}

(A U B)'= U- (A U B) = { 3,5}<------- Answer

Answer:

x=49 or B)49

Step-by-step explanation:

its is a linear pair so that means it is equal to 180 degrees

you equation will be

x-18+149=180 simplify

x+131=180 subtract 131 from both sides

x=49

Answer:

π and f. 125

Step-by-step explanation:

for the circle its π or 3.1415926535....

for the triangle its f. 125

Answer:

y > (1/2)x + 2

Step-by-step explanation:

The line rises 1 in y for each run of 2 in x

slope = rise/run

slope = 1/2

---------------------

The y-intercept is 2

-----------------------------

The graph is shaded above the dashed line

-----------------------------

Therefor

y > (1/2)x + 2

Answer:

y>1/2x+2

Step-by-step explanation:

The answer is y>1/2x+2. The shaded red part is the graph of y>1/2x+2. Because the slope is 1/2 and the y-intercept is 2, this is the correct answer.

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Answer:

See Below.

Step-by-step explanation:

Problem A)

We have:

[tex]\displaystyle \csc^2\theta \tan^2\theta -1=\tan^2\theta[/tex]

When in doubt, convert all reciprocal trig functions and tangent into terms of sine and cosine.

So, let cscθ = 1/sinθ and tanθ = sinθ/cosθ. Hence:

[tex]\displaystyle \left(\frac{1}{\sin^2\theta}\right)\left(\frac{\sin^2\theta}{\cos^2\theta}\right)-1=\tan^2\theta[/tex]

Cancel:

[tex]\displaystyle \frac{1}{\cos^2\theta}-1=\tan^2\theta[/tex]

Let 1/cosθ = secθ:

[tex]\sec^2\theta -1=\tan^2\theta[/tex]

From the Pythagorean Identity, we know that tan²θ + 1 = sec²θ. Hence, sec²θ - 1 = tan²θ:

[tex]\tan^2\theta =\tan^2\theta[/tex]

Problem B)

We have:

[tex]\sin^3x=\sin x-\sin x \cos^2 x[/tex]

Factor out a sine:

[tex]\sin x(\sin^2 x)=\sin x-\sin x\cos^2 x[/tex]

From the Pythagorean Identity, sin²θ + cos²θ = 1. Hence, sin²θ = 1 - cos²θ:

[tex]\sin x(1-\cos^2 x)=\sin x-\sin x\cos^2x[/tex]

Distribute:

[tex]\sin x- \sin x \cos^2 x=\sin x-\sin x\cos^2 x[/tex]

Problem C)

We have:

[tex]\displaystyle \frac{\cos 2x+1}{\sin 2x}=\cot x[/tex]

Recall that cos2θ = cos²θ - sin²θ and that sin2θ = 2sinθcosθ. Hence:

[tex]\displaystyle \frac{\cos^2 x-\sin^2 x+1}{2\sin x\cos x}=\cot x[/tex]

From the Pythagorean Identity, sin²θ + cos²θ = 1 so cos²θ = 1 - sin²θ:

[tex]\displaystyle \frac{2\cos^2 x}{2\sin x\cos x}=\cot x[/tex]

Cancel:

[tex]\displaystyle \frac{\cos x}{\sin x}=\cot x[/tex]

By definition:

[tex]\cot x = \cot x[/tex]

See below for the examples of combinations

Combinations are instances where items and objects are chosen or selected from a collection or group of items and objects such that the order in which the items and objects are selected does not matter

There are several applications of combinations in our daily activities.

Some of them include:

An example of combination with repetition is the selection of a food item from a food menu

While an example of combination without repetition is the selection of students to represent the school in a debate competition

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Correct Work

4x+8 +3(x-4)

4x +8 + 3x-12

4x+3x+8 -12

7x -4

Mistake Made

Answer:

Solution given:

Annie needs 250 lb of cement to fix the outer step.

Each bag hold 40 lb of cement.

Now

40 lb =1bag

we need

250lb= ? bag.

we have

no of bag =needed lb/1 bag's lb=250/40=250/40=6.25

we do not need more than 7 bags

Annie needs 7 bags.

So

The required inequality is:

b≥7.

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Hi there!

In the given equation [tex]y=2x+5[/tex], the slope of the line is 2.

Perpendicular lines always have slopes that are negative reciprocals, like negative "flipped" fractions.

Example: The negative reciprocal of [tex]\frac{3}{1}[/tex] (which is the same as 3) is [tex]-\frac{1}{3}[/tex].

Example 2: The negative reciprocal of [tex]-\frac{4}{3}[/tex] is [tex]\frac{3}{4}[/tex].

Using this logic, the negative reciprocal of 2, or [tex]\frac{2}{1}[/tex], is [tex]-\frac{1}{2}[/tex]. Therefore, the slope of a line perpendicular to the line [tex]y=2x+5[/tex] is [tex]-\frac{1}{2}[/tex].

I hope this helps!

300ml.

60×5=300 so yea, that's ur answer