Posting this again because I’m impatient

Answer:

2

Explanation:

Given the function:

The greatest power of f(x) = 3.

This means that the polynomial f(x) is a cubic polynomial.

The number of turning points in a cubic polynomial is 2.

A graphical illustration is attached below:

Thus, the number of turns in the graph of the function f(x) is 2.

Answer:

Below

Step-by-step explanation:

The formula to use:

FV =PV e^(rt)

FV = 5000 e^(.051 * 5) = 6452.31 dollars

Answer:

y=-2x+3

Step-by-step explanation:

Slope formula: y=mx+b

m=slope

b=y-intercept

Answer:

$7.39 per mug before sale price

Step-by-step explanation:

Divide $28.20 by 5 = 5.64

5.64 plus 1.75 equals $7.39.

Each mug was $7.39 before the sale.

If triangle STU  ≅ triangle ABC, then ∠T ≅ ∠B, ∠S ≅ ∠A, and segment TU ≅ Segment BC are true by CPCTC. Option A, option B, and option D are correct.

Let's understand what is the congruence of the triangle.

If all three corresponding sides are equal and all three corresponding angles are identical in measure, two triangles are said to be congruent. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

CPCTC stands for corresponding parts of congruent triangles are congruent.

Let's check in the triangle STU and triangle ABC;

triangle STU  ≅ triangle ABC

So,

∠S ≅ ∠A

∠T ≅ ∠B

∠U ≅ ∠C

segment ST ≅ Segment AB

segment TU ≅ Segment BC

segment SU ≅ Segment AC

Thus, if triangle STU  ≅ triangle ABC, then ∠T ≅ ∠B, ∠S ≅ ∠A, and segment TU ≅ Segment BC are true by CPCTC. Option A, option B, and option D are correct.

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The proportional parts in triangles and parallel lines can be found by similarity and ratios.

The ratio of any related side lengths is always the same when two triangles are similar. The scale factor can be used to identify the triangle's proportionate components. The longer side of one triangle is twice as long as the comparable side in the other. In contrast, the alternate interior angles are identical when two parallel lines are cut by a transverse line. Additionally, the matching angle pairs are all equal. Trigonometry can be used to determine the length of the opposite side of a pair of parallel lines if we know the length of one side and the matching angle.

One can use similarity ratios to determine the proportional components of triangles and parallel lines. Comparable geometries have equivalent sides that are in proportion. To get the missing side length, one can arrange ratios of corresponding sides and utilise cross-multiplication. Further, similar triangles can also be employed. When two triangles are comparable, their corresponding sides and angles are proportionate and equal.

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Answer:

3

Step-by-step explanation:

Answer:

1/2x6=3

Step-by-step explanation:

i hope this helps :)

Answer:

(x + 2)^2 + (y - 6.5)^2 = 25.25

Step-by-step explanation:

We can the equation of the circle in standard form, whose general equation is:

\((x-h)^2+(y-k)^2=r^2\), where

Step 1:  We know that the diameter is simply 2 * the radius.  Thus, we can find the radius by first finding the length of the diameter.  To do this, we'll need the distance formula, which is:

\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where

We can allow (-7, 7) to be our (x1, y1) and (3, 6) to be our (x2, y2) point and plug these into the formula to find d, the distance between the points and the length of the diameter:

\(d=\sqrt{(3-(-7))^2+(6-7)^2} \\d=\sqrt{(3+7)^2+(-1)^2}\\ d=\sqrt{(10)^2+1}\\ d=\sqrt{100+1}\\ d=\sqrt{101}\)

Now we can multiply our diameter by 1/2 to find the length of the radius:

r = 1/2√101

Step 2:  We know that the center lies at the middle of the circle and therefore represents the midpoint of the diameter.  The midpoint formula is

\(m=(\frac{x_{1}+x_{2} }{2}),(\frac{y_{1}+y_{2} }{2})\), where

We can allow (-7, 7) to be our (x1, y1) point and (3, 6) to be our (x2, y2) point:

\(m=(\frac{-7+3}{2}),(\frac{7+6}{2})\\ m=(\frac{-4}{2}),(\frac{13}{2})\\ m=(-2,6.5)\)

Thus, the coordinate for the center are (-2, 6.5).

Step 3:  Now, we can create the equation of the circle and simplify:

(x - (-2)^2 + (y - 6.5)^2 = (1/2√101)^2

(x + 2)^2 + (y - 6.5)^2 = 25.25

Step-by-step explanation:

Given that,

Perpendicular = 17 units

Hypotenuse = 25 units

We need to find the value of x.

Using Pythagoras theorem to find x.

Hypotenuse² = base²+perpendicular²

25² = x² + 17²

x = 18.3 units

So, the value of x is equal to 18.3 units. No, the sides do not form a Pythagorean triplet.

Answer:

\(x^{2}\)+ \(y^{2}\) -4x+2y-7=0

Step-by-step explanation:

Given that, center at (2,-1)

let a = 2, b = -1

radius, r = \(\sqrt{12}\)

As we know the equation circle is, \((x-a) ^{2}\)+\((y-b) ^{2}\) = \(r^{2}\) when radius and center point is given.

By this formula , we can get,

\((x-2) ^{2}\)+\((y-(-1)) ^{2}\) = \(\sqrt{12} ^{2}\)

\(x^{2}\) -4x +4 + \(y^{2}\) + 2y + 1 = 12

\(x^{2}\)+ \(y^{2}\) -4x+2y-7=0

This is the answer.

Answer:

45 cm

Step-by-step explanation:

It is given that,

The ratio of the length of Khali's ribbon to the length of Juan's ribbon is 8:5.

We need to find the length of ribbon used by Juan if Khali used a total of 72 cm of ribbon. ATQ,

\(\dfrac{K}{J}=\dfrac{8}{5}\\\\\dfrac{8}{5}=\dfrac{72}{J}\\\\J=\dfrac{5\times 72}{8}\\\\J=45\ cm\)

So, Juan uses 45 cm of the ribbon.

Answer:

P ,Q ,R

Step-by-step explanation:

Three or more points that doesn't lie on a straight lie are Non collinear points

For each given sample result, the p-value and conclusion are as follows:

a. p-value = 0.0067, Conclusion: Reject H0,  b. p-value = 0.0830, Conclusion: Fail to reject H0, c. p-value = 0.0322, Conclusion: Reject H0

d. p-value = 0.6221, Conclusion: Fail to reject H0

The p-value is a measure of the evidence against the null hypothesis (H0). It represents the probability of obtaining a sample result as extreme as or more extreme than the observed result, assuming the null hypothesis is true. A p-value less than the significance level (α) indicates strong evidence against the null hypothesis and suggests that the alternative hypothesis (Ha) may be true.

a. For p = .68, we need to determine the probability of observing a sample proportion as extreme as or less than .68, assuming the null hypothesis is true. By conducting the appropriate statistical test (e.g., using the normal approximation to the binomial distribution), we find the p-value to be 0.0067. Since the p-value is less than α = .05, we reject the null hypothesis and conclude that there is evidence to support the claim that the proportion is less than .75.

b. For p = .72, the p-value represents the probability of observing a sample proportion as extreme as or less than .72. Calculating the p-value using the appropriate statistical test yields 0.0830. Since the p-value is greater than α = .05, we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that the proportion is less than .75.

c. With p = .70, the p-value indicates the probability of observing a sample proportion as extreme as or less than .70. The calculated p-value is 0.0322. As the p-value is less than α = .05, we reject the null hypothesis and conclude that there is evidence to suggest that the proportion is less than .75.

d. For p = .77, the p-value represents the probability of observing a sample proportion as extreme as or greater than .77. After performing the necessary calculations, we find the p-value to be 0.6221. Since the p-value is much greater than α = .05, we fail to reject the null hypothesis. Consequently, we do not have sufficient evidence to conclude that the proportion is less than .75.

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Answer:

A = 3

Step-by-step explanation:

Given

(5x² + 3x + 4) - (2x² + 5x - 1)

Remove the parenthesis from the first and distribute the second by - 1

= 5x² + 3x + 4 - 2x² - 5x + 1 ← collect like terms

= 3x² - 2x + 5

In the form Ax² + Bx + C

with A = 3

ok

Dimensions = 5 ft x 7 ft

Brick = 4 in x 12 in

1.- Convert ft to in

1 ft -------------------- 12 in

5 ft ------------------- x

x = (5 x 12) / 1

x = 60 in

1 ft -------------------- 12 in

7 ft -------------------- x

x = (7 x 12) / 1

x = 84 in

2.- Calculate the area of the wall

Area = 60 x 84

= 5040 in^2

3.- Calculate the area of a brick

Area = 4 x 12 = 48 in^2

4.- Divide the area of the wall by the area of the brick

Number of bricks = 5040 / 48

= 105

There will be 105 brick on the wall.

Answer: C. cosx/2

Step-by-step explanation:

Answer:

cos x/2

Step-by-step explanation:

Answer:

h = 11

Step-by-step explanation:

Sum of the angles in a Triangle = 180°, So;

\(83 + 39 + (6h - 8) = 180 \\ 122 - 8 + 6h = 180 \\ 114 + 6h = 180 \\ 6h = 180 - 114 \\ 6h = 66 \\ h = 66 \div 6 \\ h = 11\)

hope it helped

3(y-1)=2x+2

3(y-1)/3=2x+2/3

y-1=2x/3+2/3

y=2x/3+2/3+1

y=2x/3+5/3

m=2/3

Answer:

1 solution

Step-by-step explanation:

x = 12

2.67 is the fluid ounces for 1/3 cup easy to determine on the cup.

What is relation between ounces and cup?

Ounces and cups are both units of measurement used for volume.

One cup is equal to 8 fluid ounces. This means that if you have a liquid that is measured in cups and you want to convert it to ounces, you would multiply the number of cups by 8 to get the number of ounces. For example, 2 cups of water is equal to 16 fluid ounces.

On the other hand, if you have a liquid measured in ounces and you want to convert it to cups, you would divide the number of ounces by 8 to get the number of cups. For example, 24 fluid ounces of milk is equal to 3 cups.

It's important to note that there are different types of ounces, including fluid ounces and weight ounces. When dealing with liquids, it's typically assumed that the measurement is in fluid ounces, but when dealing with solid ingredients, the measurement is usually in weight ounces. In this case, the conversion factor between ounces and cups will depend on the specific ingredient being measured.

Now 1 cup means 8 fluid ounces.

So, 1/3 cup mean 8/3 = 2.67 fluid ounces.

Typically, most measuring cups will have markings for both cups and fluid ounces, and the measurement for 1/3 cup will be clearly marked on the cup. However, the specific design of the measuring cup can vary, so it's always a good idea to check the markings on your particular measuring cup to ensure that you are accurately measuring out the desired amount.

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's' and 't' represent free parameters that can take on any real values.

In the given system of equations:

x1 - x2 + 4x3 = -4

6x1 - 5x2 + 7x3 = -5

3x1 - 39x3 = 45

To solve this system, we can use the method of Gaussian elimination or matrix operations. Let's use Gaussian elimination:

Step 1: Write the augmented matrix for the system:

[1 -1 4 | -4]

[6 -5 7 | -5]

[3 0 -39 | 45]

Step 2: Perform row operations to transform the matrix into row-echelon form:

R2 = R2 - 6R1

R3 = R3 - 3R1

The updated matrix becomes:

[1 -1 4 | -4]

[0 1 -17 | 19]

[0 3 -51 | 57]

Step 3: Perform additional row operations to further simplify the matrix:

R3 = R3 - 3R2

The updated matrix becomes:

[1 -1 4 | -4]

[0 1 -17 | 19]

[0 0 0 | 0]

Step 4: Write the system of equations corresponding to the row-echelon form:

x1 - x2 + 4x3 = -4

x2 - 17x3 = 19

0 = 0

Step 5: Express the variables in terms of a parameter:

x1 = s

x2 = 19 + 17s

x3 = t

where s and t are parameters.

Therefore, the solution to the system is:

[x1] = [s]

[x2] = [19 + 17s]

[x3] = [t]

In the provided solution format:

[x1] = [s] []

[x2] = [19 + 17s] + s []

[x3] = [t] [__]

Here, 's' and 't' represent free parameters that can take on any real values.

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Answer:

1/2

Step-by-step explanation:

options in a 6 sided die= 1,2,3,4,5,6

greater than 3 = 4,5,6

so three  sides  out of a 6 sided die is greater than three

P(not greater than 3) = \(\frac{6-3}{6} = \frac{1}{2}\)

Answer:

1/2 or 0.5

Step-by-step explanation:

The probability of rolling a number greater than 3 on a six-sided die is 3/6 or 1/2, since there are three numbers (4, 5, 6) out of six that are greater than 3.

To find the probability of not rolling a number greater than 3, we can subtract the probability of rolling a number greater than 3 from 1:

P(not greater than 3) = 1 - P(greater than 3)

P(not greater than 3) = 1 - 1/2

P(not greater than 3) = 1/2

Therefore, the probability of not rolling a number greater than 3 is 1/2 or 0.5.

To test the hypothesis that population 1 has a mean that is exactly 2 less than the mean of population 2, we can use a two-sample t-test with unequal variances.

The test statistic for this hypothesis is given by:
t = (x1 - x2 - d) / sqrt[(s1^2/n1) + (s2^2/n2)]
where x1 and x2 are the sample means, s1 and s2 are the respective standard deviations, n1 and n2 are the sample sizes, and d is the hypothesized difference in means (in this case, d = 2).
Substituting the given values, we get:
t = (34.5 - 30 - 2) / sqrt[(5^2/33) + (9^2/42)]
t = 2.5 / 1.747
t = 1.43 (rounded to two decimal places)
Therefore, the test statistic for this hypothesis is 1.43.

You want to test the hypothesis that the mean of population 1 is exactly 2 less than the mean of population 2. Given that sample 1 has a mean of 34.5 and sample 2 has a mean of 30, the respective standard deviations are 5 and 9, and the sample sizes are 33 and 42. To find the test statistic, follow these steps:
1. State the null hypothesis (H0) and the alternative hypothesis (H1):
  H0: μ1 - μ2 = 2
  H1: μ1 - μ2 ≠ 2
2. Calculate the difference in sample means (M1 - M2):
  34.5 - 30 = 4.5
3. Calculate the standard error of the difference in means:
  SE = √[(s1²/n1) + (s2²/n2)] = √[(5²/33) + (9²/42)] = √[(25/33) + (81/42)] ≈ 1.595
4. Calculate the test statistic (t):
  t = (M1 - M2 - D) / SE = (4.5 - 2) / 1.595 ≈ 1.568
The test statistic for this hypothesis test is approximately 1.568.

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Answer:

19

Step-by-step explanation:

P.E.M.D.A.S

2X8=16

15/5= 3

Answer:

27

Step-by-step explanation:

1) Write it out using operations

2) Organise it into PEMDAS

P: There are no brackets

E: There are no exponents (powers)

M: We need to put  2 × 8 in brackets (to make sure we know what to do first

D: We need to put 15 ÷ 5 in brackets

A&S: As the numbers we need to add and subtract will be part of the brackets we can move on!

3) Solve!

First we need to do the brackets

Then the rest

Hope this helps, have a great day!!

Answer:h

Step-by-step explanation:

Answer:

2= 43°

1=137°

3= 137°

Step-by-step explanation:

.this is because 43° and 2 are vertically opposite angles.

.this is because 1 and 43° are on a straight line and angles on a straight line sum up to 180°.

.this is because 1 and 3 are vertically opposite angles.

The median is $1314, median of Rebecca is wrong.

The median can be more descriptive of a data set than the average because it is the middle number in a sorted, ascending, or descending list of numbers. The midpoint of the data is the point above and below which half (or 50%) of the observed data falls.

Other descriptive statistics like the mean (average), mode, and standard deviation are frequently compared to the median.

Given costs of laptop $979; $1,349; $1,279; $1,349; $1,899; $2,049; $875; and $1,099.

arranging cost in ascending order,

$875, $979, $1099, $1279, $1349, $1349, $1899, $2099

thee total terms are 8, so median is average of 4th and 5th term

4th term = 1279 and 5th term = 1349

median = (1279 + 1349)/2 = 2628/2

median = $1314

Hence the median of Rebecca is false.

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