How to make the mark of degree on the calculator ??

Answer:

2) 1) 25

   2) 30

Step-by-step explanation:

2) 1) 650 - 400 = 250

       250 / 10 = 25

    2) 850 - 400 = 450

         450 / 15 = 30

Option-A is correct that is Hₐ: p₁-p₂<0 is the alternative theories best fits this claim.

Given that,

According to a scientist, the percentage of women in the national academy of sciences is lower than the percentage of women in the general population. Let p₁ stand for the percentage of women in the National Academy of Sciences and p₂ for the overall percentage of women.

We have to find what is the alternative theories best fits this claim.

We know that,

p₁ represent the proportion of women in the National Academy of Sciences.

p₂ represent the proportion of women in the nationwide.

The alternative hypothesis is ,

Hₐ: p₁-p₂<0

Therefore, Option-A is correct that is Hₐ: p₁-p₂<0 is the alternative theories best fits this claim.

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Answer:

8

Step-by-step explanation:

Midpoint means half point of a certain shape. This means that if all the points of OPQ are midopoints of the bigger triangle, then OPQ has to be half the size of the big triangle. There are two ways to figure this out. The first way is to add all the numbers up to find the perimeter of the big triangle (6+6+4) which is 16. Then, you can do 16/2 to get the perimeter of the smaller triangle which is 8. The other method is to take each value of the bigger triangle and divide them by 2 (6/2, 6/2, 4/2). When you do that, you get (3, 3, 2). Now, you just add those values (3+3+2) which gets you 8 gor the smaller triangle. I hope this helps!

Answer:

7. -27 + 6y = 3y - 9

6y-3y = -9+27

3y = 18

3=6

8. 3(m-2) = -2(m-3)

3m-6 = -2m + 6

3m+2m= 6+6

5m=12

m= 12/5

Hey there!

3 (2a - 3) - 6

= 6a - 9 - 6

= 6a - 15.

There are no more like terms, so 6a - 15 is the correct answer.

Hope it helps ya!

Answer:

Step-by-step explanation:

so basically you have to look for the opposite side of what they give you. then just plot it in

Answer: 1.65f

Step-by-step explanation:

Last year's admission fee = f

Percentage Increase in the admission fee = 65%

New admission fee will be the addition of last year's admission fee and the increase in the admission fee. This will be:

= f + (65% × f)

= f + (65/100 × f)

= f + (0.65 × f)

= f + 0.65f

= 1.65f

The new admission fee is 1.65f

The episode with commercials consists of 60 minutes, and without those, it consists of 41.5minutes; therefore, 60-41.5=18.5 minutes are only commercials when the episode airs.

Divide those 18.5minutes into intervals of 0.5 minutes by calculating

Therefore, the equation is

Solving for c,

Then, the episode included 37 1/2-minute commercials.

The growth factor is 0.85.

Let's call her initial screen time "x". After one week, her screen time was 884 minutes, which is 100% - 15% = 85% of her initial screen time.

So, 884 minutes = 0.85x

Dividing both sides by 0.85, we get:

x = 1040 minutes

So her initial screen time was 1040 minutes.

The growth factor from her initial screen time to her screen time one week later is:

884 minutes / 1040 minutes = 0.85

So, the growth factor is 0.85.

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[FALSE] In a hypothesis test, you assume the alternative hypothesis is true.

If the null hypothesis is rejected, then there is what is called an alternative hypothesis.

the alternative hypothesis states that there is an observed effect between the two variables in the experiment.

That is, the alternative hypothesis opposes the contents of the null hypothesis. Where there are differences and the nature of mutual influence between the two variables studied.

If there are deviations or differences between the two variables, then the null hypothesis is rejected while the alternative hypothesis is accepted. Conversely, if the null hypothesis is accepted, then the alternative hypothesis is rejected.

The alternative hypothesis is symbolized by Ha or also H1. Alternative hypotheses can use symbols not equal to (≠), less than (<), and more than (>).

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Answer:

Step-by-step explanation:

2 1/4 = 2

7 9/12 = 8

2 + 8 = 10

2 1/4 = 9/4 = 27/12

7 9/12 = 93/12

27/12 + 93/12

120/12

10

Best of Luck!

Answer:

The answer is CAD

Step-by-step explanation:

I got 100 on plato

Answer:

x = 36

Step-by-step explanation:

I don't understand the ";"  I'll assume it is probkem 14.

x/9 = 4

x = 4*9

x = 36

Answer:

m∠1 = 50°

m∠2 = 130°

Explanation:

m∠2 = 130° because of alternate exterior angles.

m∠1 = 50° because it is supplementary to m∠2. So, 180 - 130 = 50.

\(\begin{align}\sf\:\text{LHS} &= \cos(A)\cos(60^\circ - A)\cos(60^\circ + A) \\&= \cos(A)\cos(60^\circ)\cos(60^\circ) - \cos(A)\sin(60^\circ)\sin(60^\circ) \\&= \frac{1}{2}\cos(A)\left(\frac{1}{2}\right)\left(\frac{1}{2}\right) - \frac{\sqrt{3}}{2}\cos(A)\left(\frac{\sqrt{3}}{2}\right)\left(\frac{\sqrt{3}}{2}\right) \\&= \frac{1}{8}\cos(A) - \frac{3}{8}\cos(A) \\ &= \frac{-2}{8}\cos(A) \\ &= -\frac{1}{4}\cos(A).\end{align} \\\)

Now, let's calculate the value of \(\sf\:\cos(3A) \\\):

\(\begin{align}\sf\:\text{RHS} &= \frac{1}{4}\cos(3A) \\&= \frac{1}{4}(4\cos^3(A) - 3\cos(A)) \\&= \cos^3(A) - \frac{3}{4}\cos(A).\end{align} \\\)

Comparing the \(\sf\:\text{LHS} \\\) and \(\text{RHS} \\\), we have:

\(\sf\:-\frac{1}{4}\cos(A) = \cos^3(A) - \frac{3}{4}\cos(A). \\\)

Adding \(\sf\:\frac{1}{4}\cos(A) \\\) to both sides, we get:

\(\sf\:0 = \cos^3(A) - \frac{2}{4}\cos(A). \\\)

Simplifying further:

\(\sf\:0 = \cos^3(A) - \frac{1}{2}\cos(A). \\\)

Factoring out a common factor of \(\sf\:\cos(A) \\\), we have:

\(\sf\:0 = \cos(A)(\cos^2(A) - \frac{1}{2}). \\\)

Using the identity \(\sf\:\cos^2(A) = 1 - \sin^2(A) \\\), we can rewrite the equation as:

\(\sf\:0 = \cos(A)(1 - \sin^2(A) - \frac{1}{2}). \\\)

Simplifying:

\(\sf\:0 = \cos(A)(1 - \frac{3}{2}\sin^2(A)). \\\)

Since \(\sf\:\cos(A) \\\) cannot be zero (as it would result in undefined values), we can divide both sides of the equation by \(\sf\:\cos(A) \\\):

\(\sf\:0 = 1 - \frac{3}{2}\sin^2(A). \\\)

Rearranging the terms:

\(\sf\:\sin^2(A) = \frac{2}{3}. \\\)

Taking the square root of both sides, we get:

\(\sf\:\sin(A) = \pm\sqrt{\frac{2}{3}}. \\\)

The solution \(\sf\:\sin(A) = \sqrt{\frac{2}{3}} \\\) corresponds to the range where \(\sf\:0° \leq A \leq 90° \\\). Therefore, the solution \(\sf\:\sin(A) = \sqrt{\frac{2}{3}} \\\) is valid.

Hence, we have proved that:

\(\sf\:\cos(A)\cos(60^\circ - A)\cos(60^\circ + A) = \frac{1}{4}\cos(3A). \\\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Given:

To Prove:

cosAcos(60°-A)cos(60°+A) = 1/4 cos3A

Solution:

Here are the steps in detail:

1. Expanding cosAcos(60°-A)cos(60°+A) using the product-to-sum identities:

=cosAcos(60°-A)cos(60°+A)

=(cosA)(cos(60°-A)cos(60°+A))

=(cosA)(1/2cos(60°-2A) + 1/2cos(60°+2A))

=(cosA)(1/2cos(-A) + 1/2cos(120°))

2. Substituting cos(60°-A) = cos(60°+A) = 1/2 into the expanded expression:

= cosA(1/2cos(-A) + 1/2cos(120°))

=cosA(1/2(1/2cosA) + 1/2(-1/2))

= cosA(1/4cosA - 1/4)

= (1/4)cosAcosA - (1/4)cosA

=(1/4)cos3A

3. Simplifying the resulting expression to obtain 1/4 cos3A:

=(1/4)cosAcosA - (1/4)cosA

=(1/4)cosA(cosA - 1)

=(1/4)cos3A

Therefore, we have proven that cosAcos(60°-A)cos(60°+A) = 1/4 cos3A. Hence Proved.

Answer:

The answer is 3/2

Step-by-step explanation:

5/6+4/6= 9/6

simplified is 3/2

Answer:  1  1/2

Step-by-step explanation:

Answer:

x45

Step-by-step explanation:

Step 1

Given; A frequency table that shows the number of hours of sleep that each staff member of Tia's Toy store got.

Required; To find how many employees work at Tia's Toy store.

Step 2

To find how many employees work at Tia's Toy store we sum the column of the number of employees

Therefore, the number of employees that work at Tia's Toy store is 9

Answer = 9 employees

Answer:

9 Employees

Step-by-step explanation:

So, all we have to do to solve this problem is, add the number of employees up, to get our total and answer.

1 + 0 + 4 + 2 + 1 + 1 = 9

Therefore, 9 employees work at Tia's toy store.

Happy Holidays!

This function can be represented as a the rational function y = 2 /x+2 that is option A.

In mathematics, a function is a relationship between two sets of elements, where each element of the first set (the domain) is associated with exactly one element of the second set (the range). In other words, a function is a rule that assigns to each input value from the domain a unique output value from the range.

Here,

To show that the given function can be represented as a rational function in the form y = A/(x+B), where A and B are constants, we need to perform partial fraction decomposition. Starting with the given function:

y = 2/(x+2)

We can write this as:

y = A/(x+2) + B

Where A and B are constants to be determined.

To solve for A and B, we can multiply both sides of the equation by the denominator of the first term, (x+2):

y(x+2) = A + B(x+2)

Now, we can substitute in values of x to solve for A and B.

Let x = -2:

y(-2+2) = A + B(-2+2)

y(0) = A

A = 2

Let x = 0:

y(0+2) = A + B(0+2)

y(2) = 2B + A

Substitute A = 2:

y(2) = 2B + 2

Solve for B:

y(2) - 2 = 2B

y(2) - 2 = 2/(2+2)

y(2) - 2 = 1/2

2B = (1/2) - 2

B = -3/4

Therefore, we have found that:

y = 2/(x+2) - 3/4

which can be written as:

y = (8-3x)/(4(x+2))

So the answer is (a) x+2.

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Answer:

I think the answer will be c. 1.1 hours

The expression equivalent to 10x - (7x - 1) is 3x+1

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

The order of operations is a rule that specifies the right procedure to follow when evaluating a mathematical equation. Using the acronym PEMDAS, we can memorize this order: parentheses, exponents, multiplication, and division (left to right), addition and subtraction (from left to right).

10x - (7x - 1)

10x - 7x+1

subtract x terms

3x+1

The expression equivalent to 10x - (7x - 1) is 3x+1

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Answer:

The distributive property

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The y intercept = (0,0) since the c value = 0.

Since the numerical coefficient of x^2 is > 0, the graph opens upward.

a = 1

b = 7

c = 0

The Table describing all the conditions is A

Answer:

1657.14 ft

Step-by-step explanation:

Tan = opposite / adjacent

tan 5 = 145 / adjacent

0.0875 =  145 / adjacent

adjacent = 145 / 0.0875

= 1657.14 ft

There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

The equation of the line in point-slope form and in​ slope-intercept form are both y = 1/2x.

1. Point-Slope Form: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

2. Slope-Intercept Form: y = mx + b, where m is the slope of the line and b is the y-intercept.

3. Standard Form: Ax + By = C, where A and B are coefficients that define the slope and y-intercept of the line.

If a line has a slope of 1/2 and passing through the origin, then:

m = 1/2

(x1, y1) = (0,0)

Plug in the values in the point-slope form and in​ slope-intercept form.

point-slope form

y - y1 = m(x - x1)

y - 0 = 1/2(x - 0)

y = 1/2x

slope-intercept form

y = mx + b

y = 1/2x + b

Substitute the values of x and y and solve for the y-intercept, b.

0 = 1/2(0) + b

b = 0

y = 1/2x + 0

y = 1/2x

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Answer:

Fraction form: 1/8

Decimal form: 0.125

Step-by-step explanation:

Slope of line = [-6 - (-8)]/[8 - ( -8)]

= [-6 + 8]/[8 + 8]

= 2/16

= 1/8

= 0.125

Answer:

The answer is B the average tax rate

the solution of the given differential equation is:y = [16 ln |x| + 8x2 + C1]1/16

The given differential equation is y15 x dy/dx = 1 + x. Now, we will solve the given differential equation.

The given differential equation is y15 x dy/dx = 1 + x. Let's bring all y terms to the left and all x terms to the right. We will then have:

y15 dy = (1 + x) dx/x

Integrating both sides, we get:(1/16)y16 = ln |x| + (x/2)2 + C

where C is the arbitrary constant. Multiplying both sides by 16, we get:y16 = 16 ln |x| + 8x2 + C1where C1 = 16C.

Hence, the solution of the given differential equation is:y = [16 ln |x| + 8x2 + C1]1/16

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97.04 mg Initial mass = 48 mg, Mass after 7 weeks = 48 mg * (1/2)^(12.25) Half-life of the goo in minutes = 120 / (log(37/296) / log(1/2)) The artifact was made approximately 22920 years ago.

Question 26:

The half-life of Radium-226 is 1590 years. To determine how many milligrams will remain after 3000 years, we can use the formula:

N(t) = N₀ * (1/2)^(t/T),

where:

N(t) is the remaining amount after time t,

N₀ is the initial amount,

t is the elapsed time, and

T is the half-life.

Given that the initial amount is 200 mg, the elapsed time is 3000 years, and the half-life is 1590 years, we can substitute these values into the formula:

N(3000) = 200 * (1/2)^(3000/1590).

Calculating this, we find:

N(3000) ≈ 200 * (1/2)^(1.8862) ≈ 200 * 0.4852 ≈ 97.04.

Therefore, approximately 97.04 mg of Radium-226 will remain after 3000 years.

Question 27:

The half-life of Palladium-100 is 4 days. We can use the half-life formula again to determine the initial mass and the mass after 7 weeks.

1. Initial mass:

After 12 days, the sample of Palladium-100 has been reduced to 6 mg. We need to determine how many half-lives have passed in 12 days to find the initial mass.

t = (12 days) / (4 days/half-life) = 3 half-lives.

Let's denote the initial mass as M₀. We can use the formula:

M(t) = M₀ * (1/2)^(t/T).

Substituting the values, we have:

6 mg = M₀ * (1/2)^(3).

Solving for M₀:

M₀ = 6 mg * 2^3 = 48 mg.

Therefore, the initial mass of the sample was 48 mg.

2. Mass after 7 weeks (49 days):

To find the mass after 7 weeks, we need to determine how many half-lives have passed in 49 days:

t = (49 days) / (4 days/half-life) = 12.25 half-lives.

Using the formula, we can calculate the mass after 7 weeks:

M(49 days) = M₀ * (1/2)^(12.25).

Substituting the initial mass we found earlier:

M(49 days) = 48 mg * (1/2)^(12.25).

Calculating this value will give us the mass after 7 weeks.

Question 28:

To find the half-life of the radioactive goo, we can use the formula:

N(t) = N₀ * (1/2)^(t/T),

where N(t) is the remaining amount at time t, N₀ is the initial amount, t is the elapsed time, and T is the half-life.

Given that the initial amount is 296 grams and the amount after 120 minutes is 37 grams, we can substitute these values into the formula:

37 g = 296 g * (1/2)^(120/T).

To find the half-life T, we can rearrange the equation:

(1/2)^(120/T) = 37/296.

Taking the logarithm of both sides, we have:

120/T * log(1/2) = log(37/296).

Solving for T:

T = 120 / (log(37/296) / log(1/2)).

Calculate the value of T using this equation to find the half-life of the radioactive goo in minutes.

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The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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