4÷ 33.8 PLEASEEEEEE PLEASEEEEE​

H0: μ = 4 (the population mean is equal to 4)

Ha: μ ≠ 4 (the population mean is not equal to 4)

Yes, the correct null and alternative hypotheses for testing whether the number of hours that the average person spends relaxing or pursuing activities they enjoy differs significantly from 4 are:

H0: μ = 4 (the population mean is equal to 4)

Ha: μ ≠ 4 (the population mean is not equal to 4)

Here, μ represents the true population means of the number of hours that the average person spends relaxing or pursuing activities they enjoy. We want to test whether the null hypothesis can be rejected in favor of the alternative hypothesis at a certain level of significance, typically 0.05.

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The values of a and b in the equations are 100 each

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =

The given equations are

a. 5x²/2 when x = 10

By substitution, a= 5(10)²/2

This implies that a=( 5 * 100)/2

a= 200/2 = 100

b = [2x²(x-5)]/10x

Substituting x=10 in the equation we have

b = 2*10²(10-5)]/[10(10)]

200(5)/100

b= 10000/100

Therefore b = 100

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Answer:

£140 increased by 5% is £147.00

Answer:

it should be 147.00 , I'm so sorry if I'm wrong!

The summation notation of the function f(x) = cos(3x) centered at a = 1 (Taylor/Maclaurin series) can be expressed as:

f(x) = Σ [((-1)^n * f^n(a))/(n!)] * (x - a)^n

where Σ denotes the summation symbol, n represents the index of the summation (starting from 0), f^n(a) denotes the nth derivative of f(x) evaluated at x = a, and n! represents the factorial of n.

In this case, the function f(x) = cos(3x) can be expanded using the Maclaurin series for cosine:

f(x) = Σ [((-1)^n * (3^2n))/(2n)!] * (x - 1)^(2n)

This summation includes all the terms of the Maclaurin series for cos(3x) centered at a = 1.

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Answer:

I'll solve 27. To give you a hint.

m2 = 1 + 3x

180 = 1 + 3x

-1       -1

179 = 3x

/3       /3

x = 59.6666667 rounded up

x = 59.67

sorry for the delay.

Step-by-step explanation:

25)

29 + 29 = a

180 - a = x

x = ?

26)

180 - 80 = a

(divide a by two)

a /2 = x

x = ?

27) (I noticed someone did this question, but it's not the right answer)

{m∠2 is the measure of angle two, not 2 degrees just in case you get confused.}

180 - 130 = a

a /2 = m∠ 2

(once you have found out the measure of angle two, use it to plug in the given equation to find the value of x.)

m∠ 2 = 1 + 3x

28)

180 - 90 = a

a /2 = m∠ 2

m∠ 2 = 2x + 21

x = ?

29) {Triangle E will be the left triangle with an angle of 68 degrees. Triangle F will be the right triangle with an angle of x degrees.}

68 + 68 = a

180 - a = b

{since b is part of the right angle, 90 degrees, in Triangle E. remember that the red-colored box-shaped angle is right angle aka measure angle is 90 degrees.}

90 - b = c

{since c is another part of the right angle in Triangle F}

180 - c = d

d /2 = value of x

x = ?

30) again, the same way to solve this like in the previous question.

{Triangle G will be the left triangle with an angle of 68 degrees. Triangle H will be the right triangle with an angle of x degrees.}

77 + 77 = a

180 - a = b

{since b is part of the right angle, 90 degrees, in Triangle G.}

90 - b = c

{since c is another part of the right angle in Triangle H}

180 - c = d

d /2 = value of x degrees

x = ?

31) same way, again. do you remember that we were solving for x in the last two questions? We're doing the same thing again, but this time, we're solving for m∠ 2 {measure of angle two in Triangle K} in order to use the given equation {m∠ 2 = 5x + 14} to find the value of x}

{Triangle J will be the left triangle with an angle of 61 degrees. Triangle K will be the right triangle with m∠2, the measure of angle two }

61 + 61 = a

180 - a = b

{since b is part of an angle 90 degrees in Triangle J, let's find the other part of the right angle in Triangle K}

90 - b = c

180 - c = d

d /2 = m∠ 2

(now use that m∠ 2 and plug it in the equation to find the value of x)

m<2 = 5x + 14

x = ?

32) Triangle L will be the left triangle with an angle of x degrees. Triangle M will be the right triangle with an angle of 38 degrees.

{since 38 degrees is already part of the right angle, 90 degrees in Triangle M. We can use it to find the other part of the right angle in Triangle L.}

90 - 38 = a

(notice that a is equal to m∠ 2 in Triangle L)

a = m∠ 2

m∠ 2 = 9x - 2

x = ?

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

33) "In any triangle, the smallest angle is always across from the shortest side and the largest angle is always across from the longest side."

basically, the longest side of a triangle is opposite to/faces the largest angle. the smallest side of a triangle is opposite to/faces the smallest angle. Always.  

Side JL, 21, is the largest side length and is opposite to angle K, which is the largest angle.

Side JK, 15, is the smallest side length and is opposite to angle L, which is the smallest angle.

The angle J is in between angle K and angle L

34)  reminder: the longest side of a triangle is opposite to/faces the largest angle. the smallest side of a triangle is opposite to/faces the smallest angle.

Side TV, 12, is the largest side length and is opposite to angle U.

Side UV, 7, is the smallest side length and is opposite to angle T.

The angle V is in between angle U and angle T

ANSWER:

25) x = 128

26) x = 50

27) m∠2 = 25, x = 8

28) m∠2 = 45, x = 12

29) b = 44, x = 67

30) b = 26, x = 58

31) b = 58, m∠2 = 74, x = 12

32) m∠2 = 52, x = 6

33)angle L, angle J, angle K

34) angle T, angle V, angle U

A) the three inequalities that must be satisfied are:

B) Graph shaded and satisfying all conditions is attached.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.

It is most commonly used to compare the sizes of two numbers on a number line.

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Answer:

x = -1 ± √109

Step-by-step explanation:

2x • 3x + (2 • 3)x + 6x = 648

According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should solve the parentheses first.

(2 • 3) = 6

Now we have:

2x • 3x + (6)x + 6x = 648

Now let's multiply.

2x • 3x = 6x²

6 • x = 6x

Now we have.

6x² + 6x + 6x = 648

Combine like terms.

6x² + 12x = 648

Let's factor out a 6.

6(x² + 2x) = 648

Divide both sides by 6.

x² + 2x = 108

Let's use completing the square.

Our equation is in a² + bx = c form.

Divide b by 2.

2/2 = 1

Then square it.

1² = 1

Add 1 to both sides.

x² + 2x + 1 = 108 + 1

Simplify.

x² + 2x + 1 = 109

Now we want to factor the left side. A shortcut is just to use b/2.

(x + 1)² = 109

Take the square root of both sides.

x + 1 = ±√109

The square root is as simplified as possible.

Subtract 1 from both sides.

x = -1 ± √109

Hope this helps!

Answer:

it is D you were correct

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Answer:

Step-by-step explanation:

a^2 + B^2 = C^2

and all angle added together should make 180  

    the left box should be 20 and the right box should 17.321

Answer:

Dwight has a total of $0.75 in quarters. To make 50 cents more, he needs 2 more quarters, bringing the total to 5 quarters.

The probability of choosing a quarter on the first draw is 3/26. Since the first coin is not replaced, there are only 25 coins remaining, including 4 quarters. Thus, the probability of choosing a quarter on the second draw is 4/25.

To find the probability of both events happening, we multiply the probabilities:

P(choosing 2 quarters) = (3/26) * (4/25) = 0.018

Rounded to the nearest hundredth, the probability of choosing two quarters is 0.02.

Step-by-step explanation:

The length of the curve x = 1/3 √y (y − 3)  is 64/3.

The distance between two point along a segment of a curve is known as the arc length.

The equation of the curve is given by:

x = 1/3 √y (y − 3), 16 ≤ y ≤ 25

Length of the curve y = f(x) between point  x =a to x = b is given by:  

\(\int\limits^b_a {\sqrt{1+[f'(x)]^2} } \, dx\)

 √1 + [f′(x)]2 dx.

x = 1/3 √y (y − 3)

x = 1/3 * \(y^\frac{3}{2}\) - \(y^\frac{1}{2}\)

Let's find the first derivative of x.

dx/dy = 1/3. 3/2.  \(y^\frac{1}{2}\)- 1/2 .  \(y^\frac{1}{2}\)

dx/ dy = 1/2 ( \(y^\frac{1}{2}\) - \(y^\frac{-1}{2}\))

(dx/dy)^2= 1/4 (  \(y^\frac{1}{2}\) - \(y^\frac{-1}{2}\))^2

= 1/4(y + \(y^-^1\)-2)

1 + {f′(x)}2 = 1 + 1/4(y +\(y^-^1\)-2)

= 1/4 y + 1/4\(y^-^1\)+ 1/2

1 + {f′(x)}2= 1/4 (y + \(y^-^1\) + 2)

√[1 + {f′(x)}2] = 1/2 (  \(y^\frac{1}{2}\) +  \(y^\frac{-1}{2}\))

Length of curve  is given by:  

25

∫   \(\frac{\sqrt{y} }{2} +\frac{1}{2\sqrt{y} }\) dy

16

= \(\left \{ {{y=25} \atop {x=16}} \right.\) [\(y^\frac{3}{2}\)/3 + √y]

= [(25)3/2 /3 + √25] - [(16)3/2 /3 + √16]

= [125/3 + 5] - [64/3 + 4]

= 140/3 - 76/3

= (140 - 76)/3

= 64/3

So the length of the curve is 64/3

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The expression of y - 4 = -2 ( x- (-4) ) in standard form is 2x + y = -4.

Standard form for the equation of a line is Ax + By =C where A is a positive integer and B and C are integers

A standard form is a method of writing mathematical concepts like an equation, expressions, or numbers in standard form. Example: 2.5 billion years is written as 2,500,000,000 years.

Given expression is,

y - 4 = -2(x-(-4))

y - 4 = -2 (x+4)

y - 4 = -2x - 8

Add 2x to each side

2x + y - 4 = 2x - 2x - 8

2x + y - 4 = - 8

Add 4 from each side

2x + y - 4 + 4  = - 8 + 4

2x + y = -4

Therefore,

The expression of y - 4 = -2 ( x- (-4) ) in standard form is 2x + y = -4.

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Explain what? What would you like help with? :)

Answer:

whats ur question

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Lmk if its correct :)

The point at which Alex place point h so that he does not have to buy more fencing is option (c) (1, 1)

To find the location of point H, we need to use the fact that the total length of the fence is 16 units.

Let's first find the length of the three sides of the fence that have already been plotted

EF = sqrt((3-1)^2 + (5-5)^2) = 2

FG = sqrt((6-3)^2 + (1-5)^2) = sqrt(10)

GE = sqrt((6-1)^2 + (1-5)^2) = 5sqrt(2)

The total length of the fence is

EF + FG + GE = 2 + sqrt(10) + 5sqrt(2)

To avoid buying more fencing, the length of the fourth side, EH, must be:

EH = 16 - (2 + sqrt(10) + 5sqrt(2)) = 16 - 2 - sqrt(10) - 5sqrt(2) = 12 - sqrt(10) - 5sqrt(2)

Now, let's plot point H at different locations and see which one satisfies the condition above.

a. (0, 1)

The distance from E to H is sqrt((0-1)^2 + (1-5)^2) = sqrt(17), which is not equal to EH.

b. (0, −2)

The distance from E to H is sqrt((0-1)^2 + (-2-5)^2) = sqrt(50), which is not equal to EH.

c. (1, 1)

The distance from E to H is sqrt((1-1)^2 + (1-5)^2) = 4, which is equal to EH. Therefore, this point satisfies the condition.

d. (1, −2)

The distance from E to H is sqrt((1-1)^2 + (-2-5)^2) = sqrt(50), which is not equal to EH.

Therefore, the correct option is (c) (1, 1).

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Answer:

Fourth

Step-by-step explanation:

This isn’t high school math by the way.

The circled object is number 4 in the sequence of the object, thus, being the fourth object.

The exact value of the expression is: sin(182°) ≈ -0.1492 (rounded to four decimal places)

To write this expression as a trigonometric function of a single number:

We can use the addition formula for sine and cosine:

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

Using these expressions, we can rewrite the expression as follows:

sin(11° + 190°) + sin(19°)

Simplifying the first term using the identity sin(a + 180°) = -sin(a),

we get:

sin(201°) - sin(19°)

Now, using the subtraction formula for sine, we can write:

sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

Therefore,

sin(201° - 19°) = sin(182°)

So the exact value of the formula:

sin(182°) ≈ -0.1492 (rounded to four decimal places)

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Answer:

9) C: x=4, y=2rt3

10) A: XY/YZ

11) A: XY/XZ

Step-by-step explanation:

9 - that is a 30, 60, 90 triangle so the ratios will be a, root3a, 2a

10 - tan = opposite / adjacent

11 - cos = adjacent/hypotenuse

Answer:

9. (c)

10. (a)

11. (a)

................

Answer:

4823 is the answer you're welcome

Answer:

a.

Step-by-step explanation:

Answer:

(8,7)

Step-by-step explanation:

Because our x-value for this ordered pair is 1, and it says to move to the right 7 units, 1+7 = 8. Therefore, our x-value for the ordered pair would be 8.

Because our y-value for this ordered pair is 6, and it says to move up 1 unit, 6+1=7. Therefore, our y-value for the ordered pair would be 7.

Once we have our x- and y-value, we can set up the ordered pair:

(8,7)

Answer:

(7, 8)

Step-by-step explanation:

In the picture below, when the point is moved up, it only changes the y part of the point, and the x part is kept the same. When the point is moved right by 7 units, the x part is changed while the y part is kept the same.

Hope this helps.

Answer:

53.09

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

                                                       5)

We know that rate of change is basically the slope.

Given the points

The slope between the points (-3, 5) and (-3, 3)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-3,\:5\right),\:\left(x_2,\:y_2\right)=\left(-3,\:3\right)\)

\(m=\frac{3-5}{-3-\left(-3\right)}\)

\(m=\frac{3-5}{-3+3}\)

\(m=\frac{-2}{0}\)

\(m=\infty\)

Thus,

Rate of change = m = ∞

                                                             6)

We know that rate of change is basically the slope.

Let us take any two points from the given table

The slope between the points (-4, 5) and (-8, 8)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-4,\:5\right),\:\left(x_2,\:y_2\right)=\left(-8,\:8\right)\)

\(m=\frac{8-5}{-8-\left(-4\right)}\)

\(m=-\frac{3}{4}\)

Thus,

\(m=-\frac{3}{4}\)

Answer: 14 oz

Step-by-step explanation: Trust me it’s right

The number of ounces of cat food that Mr. Barrera used is; 14 Ounces (Oz)

Other bag has 3½ times as much as first bag. Thus;

Number of ounces in second bag = 3½ × 20 = 70 Oz

He uses 1/5 of the cat food from the larger bag.

Thus;

He used; 1/5 × 70 = 14 Oz of cat food

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