Can you please help answer both questions

The unit rate and also put the answer in the graph the problem is attached

Answer:

17 and 59

Step-by-step explanation:

90-75=17 first one

180-121=59 second one plz give me brainnessttttt pllzzzz

Hey there!

So the first angle is a complementary angle, meaning that two angles put together will equal 90 degrees. Since we already know that one angle is 75 degrees, all we need to do is 90-75 and we get 15 degrees, which is the value of the missing angle.

The second angle is a supplementary angle, which means two angles equal 180 degrees. Since we know that one angle is 121 degrees, we can take that and subtract is from 180 degrees to get 59 degrees, which is the value of the missing angle.

Remember:

A complementary angle is made of up TWO angles that add up to 90 degrees.

A supplementary angle is made up of TWO angles that add up to 180 degrees.

I hope this helped!!!

Mathematical models can provide valuable insights into population dynamics, they should always be interpreted with caution and in conjunction with other sources of data and information.

The given population growth function P(t) = 2t + 4t³/2 + 5000, where t is the time in months and P(t) is the population, can be used to determine how fast the population is increasing at any given time. To do this, we need to take the derivative of P(t) with respect to time (t), which gives us the rate of change of the population with respect to time.

After taking the derivative, we substitute t = 9 to find the rate of population increase after 9 months. The resulting value is 488 people per month, indicating that the population is growing rapidly.

It is important to note that population growth functions are based on assumptions that may or may not hold true in reality. For example, the given function assumes a steady and consistent rate of population growth over time, which may not always be the case due to external factors such as natural disasters, economic conditions, and migration patterns.

Thus, while mathematical models can provide valuable insights into population dynamics, they should always be interpreted with caution and in conjunction with other sources of data and information.

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(a) The test statistic and P-value:The given information is provided as follows:σ1 = 1.6 and σ2 = 1.3The hypothesis test is defined as follows: H0: μ1 − μ2 = 0Ha: μ1 − μ2 > 0The significance level is α = 0.01.The two-tailed test for the difference between two means is given by:

(x1 ¯-x2 ¯)-(μ1-μ2)/sqrt[s1^2/n1+s2^2/n2]=t where s1^2 and s2^2 are variances of the sample 1 and sample 2 respectively. From the question, the sample size n1 = 27, and sample size n2 = 32.

Substitute the given values of n1, n2, σ1, and σ2 into the formula above to calculate the value of the test statistic:

t = [(92.7 − 87.4) − (0)] / √[(1.6^2 / 27) + (1.3^2 / 32)] = 2.28

The P-value is P(t > 2.28) = 0.013.

Hence the test statistic is 2.28 and the P-value is 0.013.The appropriate conclusion would be:Reject H0. The data suggests that the difference in average tension bond strengths exceeds 0. The P-value of 0.013 is less than the significance level α = 0.01.

(b) The probability of a type II error for the test of part (a) when μ1 − μ2 = 1:The type II error occurs when we fail to reject the null hypothesis when it is actually false. It is denoted by β.To calculate β, we need to determine the non-rejection region when the alternative hypothesis is true.

The non-rejection region is given by:t ≤ tc where tc is the critical value of t at the 0.01 level of significance and (n1 + n2 – 2) degrees of freedom.From the t-tables, tc = 2.439.

To calculate β, we need to find the probability that t ≤ tc when μ1 − μ2 = 1. Let d = μ1 − μ2 = 1.

Then,β = P(t ≤ tc; μ1 − μ2 = d) = P(t ≤ 2.439; μ1 − μ2 = 1).

Now, we have t = [(x1 ¯-x2 ¯) - (μ1-μ2)]/ sqrt [s1^2/n1 + s2^2/n2] = (x1 ¯-x2 ¯-d)/sqrt [s1^2/n1 + s2^2/n2]

Hence,P(t ≤ 2.439; μ1 − μ2 = 1) = P[(x1 ¯-x2 ¯)/ sqrt [s1^2/n1 + s2^2/n2] ≤ (2.439 − 1)/sqrt [(1.6^2/27) + (1.3^2/32)]] = P(z ≤ 0.846) = 0.7998,

where z is the standard normal distribution variable.

Therefore, the probability of a type II error for the test of part (a) when μ1 − μ2 = 1 is 0.7998.

(d) How would the analysis and conclusion of part (a) change if σ1 and σ2 were unknown but s1 = 1.6 and s2 = 1.3?The analysis would be done using the t-distribution, since σ1 and σ2 are not known and the sample size is small (n1 = 27 and n2 = 32). The hypothesis test and the test statistic are the same as in part

(a).However, the standard errors should be replaced with the estimated standard errors using the sample standard deviations s1 and s2 as follows:SE = sqrt [(s1^2/n1) + (s2^2/n2)] = sqrt [(1.6^2/27) + (1.3^2/32)] = 0.462.The t-value is calculated as:

t = [(x1 ¯-x2 ¯)-(μ1-μ2)]/SE = [(92.7 − 87.4) − (0)] / 0.462 = 11.48.The P-value is P(t > 11.48) < 0.0001. Therefore, the conclusion is the same as in part (a): Reject H0.

The data suggests that the difference in average tension bond strengths exceeds 0.

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In order to find how many boxed they need, first they need to know the area they will have to cover:

In order to find it, we have find the total area of the rectangle and take off the area of the House and the area of the shed:

We know that all those areas are rectangles, their area are found multiplying their sides lenght:

House area = 5m x 16m = 80m²

Shed area = 3m x 3m = 9m²

Since the lateral side of the total area is

5m + 16m + 5m = 26m, then

Total area = 26m x 50m = 1300m²

Then, the area they need to cover is

total area - house area - shed area = 1300m² - 9m² - 80m²

= 1211m²

Since the seed they select covers 375 m² per box, in order to find how many boxes they need, we just need to divide the area they are going to cover with this number:

1211m² ÷ 375 m² = 3.229

We round it to 4 boxes as indicated.

Answer: they need to buy 4 boxes of seeds

Answer:

$134217728

Step-by-step explanation:

Day 1: $1

Day 2: $2

Day 3: $4

Day 4: $8

Day 5: $16

Day 6: $32

Day 7: $64

Day 8: $128

Day 9: $256

Day 10: $512

Day 11: $1024

Day 12: $2048

Day 13: $4096

Day 14: $8192

Day 15: $16384

Day 16: $32768

Day 17: $65536

Day 18: $131072

Day 19: $262144

Day 20: $524288

Day 21: $1048576

Day 22: $2097152

Day 23: $4194304

Day 24: $8388608

Day 25: $16777216

Day 26: $33554432

Day 27: $67108864

Day 28: $134217728

Answer: (38, 25) or x = 38 and y = 25

Step-by-step explanation:

      We will use the measurement of a straight line and vertical angles to help us solve.

      First, vertical angles are congruent. We will set up an equation and use inverse operations to isolate the x variable.

  Given:

(3x - 33) = (2x + 5)

  Add 33 and subtract 2x from both sides of the equation:

x = 38

      Next, we know a straight line is equal to 180 degrees. We can substitute the value we found above for x. Then we will simplify and use inverse operations to isolate the y variable.

  Given:

(2x + 5) + (4y - 1) = 180

  Substitute for x:

(2(38) + 5) + (4y - 1) = 180

  Simplify:

81 + (4y - 1) = 180

  Subtract 80 (81 - 1) from both sides of the equation:

4y = 100

  Divide both sides of the equation by 4:

y = 25

Step-by-step explanation:

the correct answer is option a 6a-7

Each model has been labeled accordingly. See the attached image. Their respective fractions are given as follows:

A - (1/3) ÷ 3

B - (1/5) ÷ 5

C - (1/5) ÷ 3

D - (1/5) ÷ 5

E - (1/5) ÷ 3

F - (1/5) ÷ 5

Fractions represent a part of a whole or, more generally, any number of equal parts. In everyday English, fractions describe how many parts of a given quantity there are, such as one-half, eight-fifths, and three-quarters.

A small part is a part of the whole. In arithmetic, numbers are represented as ratios where the numerator is divided by the denominator. In prime fraction, both are integers. Complex fractions have fractions in the numerator or denominator.

Real/False Fractions, Mixed Fractions, Equivalent Fractions, and Even/Odd Fractions are the six types of fractions in math. The numerator and denominator are the two parts of a fraction

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Answer:

-3/4

Step-by-step explanation:

change them to improper fractions

-5/2 - (-7/4)

now multiply -5/2 by two so the denominators are the same

-10/4 - (-7/4)

subtracting a negative number is the same as adding a positive number

-10/4 + 7/4

= -3/4

Answer:

Step-by-step explanation:

.. 3 + 2[4(2) – (4 + 3(2))]. 3 + 2[8 – (4 + 6)]. 3 + 2[8 – (10)]. 3 + 2[–2]. 3 – 4. –1 ... 2x + 6 = 4 – 2 + 1x. 2x + 6 = 2 + x. 2x – x + 6 = 2 + x – x. x + 6 = 2. x + 6 – 6 = 2 – 6. x = –4.

The total number of questions on the survey is given as follows:

60 questions.

The total number of questions on the survey is obtained applying the proportions in the context of the problem.

We have that 35% of the total number of questions x is equivalent to 21 questions, hence the total number of questions on the survey is obtained as follows:

0.35x = 21

x = 21/0.35

x = 60 questions.

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The area of a circle is the measure of the surface enclosed by the circle. It is given by the formula A = πr², where A is the area, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

To calculate the area of a circle, you need to know the value of its radius. The radius is the distance from the center of the circle to any point on its edge. Once you have the radius, simply plug it into the formula and solve for A.
For example, if the radius of a circle is 5 units, the area can be calculated as follows:
A = πr²
A = π(5)²
A = π(25)
A = 78.5 (rounded to one decimal place)
Therefore, the area of the circle with a radius of 5 units is approximately 78.5 square units.

It is worth noting that the area of a circle is proportional to the square of its radius. This means that if you double the radius, the area will increase by a factor of four. Similarly, if you halve the radius, the area will decrease by a factor of four. In summary, the area of a circle is given by the formula A = πr², where A is the area and r is the radius. To calculate the area, simply plug in the value of the radius and solve for A.

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Answer:

3rd option

Step-by-step explanation:

(f • g)(x)

= f(x) × g(x)

= (3x + 1)(2x + 7)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(2x + 7) + 1(2x + 7) ← distribute parenthesis

= 6x² + 21x + 2x + 7 ← collect like terms

= 6x² + 23x + 7

I hope it help...................

120cm is the answer.write this

Answer: 12

Step-by-step explanation:

This is a direct proportion and we use the formula:

y = kx

If y = −4 when x=2, we need to find the constant of proportionality. This will be:

y = kx

-4 = 2k

k = -4/2

k = -2

To find y when x=−6 guess this:

y = kx

y = -2 × -6

y = 12

Hence, The value of y = 12 when x = -6.

Given that , Y varies directly with x .

If y=−4 when x=2,

Find y when x=−6.

According to the question,

This is a direct variation , y = kx

If,

y = −4  when x=2,

y = kx

-4 = 2k

\(k = \frac{-4}{2}\)

k = -2

To find ;

y when x = −6

y = kx

y = (-2) (-6)

y = 12

Hence, The value of y = 12 when x = -6.

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The correct response is c. 8√2 . The length of the diagonal if the side of the square is 8√2.

A polygon's opposed vertices (or corners) are connected by a line segment known as a diagonal. Or to put it another way, a diagonal is a line segment joining two polygonal vertices that are not neighbouring. With the exception of the figure's edges, it connects a polygon's vertices. For instance, a diagonal line or movement runs slopingly from one corner of a square to the other corner. a type of straight line called a diagonal. Straight up, down, or across are not possible on a diagonal line. It is a line that joins the corners of a form at two points. Instead of running straight up or across, a diagonal is formed by a straight line that is positioned at an angle.

Right isosceles triangles with both legs 8 feet long would make up each half.

The hypotenuse that both of those triangles would share is the diagonal.

We must determine the hypotenuse's length, d, in feet.

According to the Pythagorean theorem, the lengths of the legs' squares sum up to the length of the hypotenuse's square, so

\(8^{2} +8^{2} =8\sqrt{2}\)

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A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is 8ft? Leave your answer in simplest radical form.

a. 16√8

b. 2√8

c. 8√2

d. 4

Answer:

Nth term = 19 - 4(n-1)

Step-by-step explanation:

First term be A

Nth term = A - 4(n-1)

3rd term = 11 = A - 4*2 = A - 8

A = 19

Nth term = 19 - 4(n-1)

Answer:

x ≈ - 0.87

Step-by-step explanation:

- 6 = - 4.4(- 3 - 5x) ← distribute parenthesis by - 4.4

- 6 = 13.2 + 22x ( subtract 13.2 from both sides )

- 19,2 = 22x ( divide both sides by 22 )

- 0.87 ≈ x ( to the nearest hundredth )

The solution of the given differential equation is y = C3 - 3x.

Given: d³y/dx³ - when x = 3; 2y = 0; dy/dx = 0; y = 0; y' = 9; y" = 0

We need to solve the given differential equation. Here is the solution:

Given: d³y/dx³ - when x = 3; 2y = 0; dy/dx = 0; y = 0; y' = 9; y" = 0

The given differential equation is,

d³y/dx³ = 2dy/dx

Let us integrate both sides w.r.t x on both sides of the above equation.

d²y/dx² = 2y + C1

Integrating both sides w.r.t x,

dy/dx = yx² + C1x + C2 Integrating both sides w.r.t x,

y = (1/3) yx³ + (1/2) C1x² + C2x + C3

But we have y = 0 at x = 3,

y = (1/3) y(3³) + (1/2) C1(3²) + C2(3) + C3

= 27 C1/2 + 3C2 + C3 = 0

Differentiating y w.r.t x, dy/dx = yx² + C1x + C2

But we have dy/dx = 0 at x = 3

So, 0 = 9C1 + 3C1 + C2

On differentiating the above equation w.r.t x, we get

d²y/dx² = 6dy/dx

On substituting x = 3 in the above equation, we get

d²y/dx² = 6(9) = 54

We know that y" = 0,

So the above equation becomes

0 = 54y + C1

Let C1 = 0,

Then y = 0

y = (1/3) yx³ + (1/2) C1x² + C2x + C3y = 0x + C3

Hence, the solution of the given differential equation is y = C3 - 3x.

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With the surface area of the square pyramid 84 square inches and side length of the base is 6, the value of x is 4 inches, by assuming x as the slant height of the square pyramid.

Assuming that x refers to the slant height of the square pyramid, we can use the formula for the surface area of a square pyramid to solve for x:

Surface area of a square pyramid = base area + (0.5 x perimeter of base x slant height)

Since the base of the square pyramid is a square with side length 6,

the base area is 6² = 36 square inches.

The perimeter of the base is 4 times the side length, so it is 4 x 6 = 24 inches.

Substituting these values into the formula and simplifying, we get:

84 = 36 + (0.5 x 24 x x)

84 - 36 = 12x

48 = 12x

x = 4

Therefore, the value of x, the slant height of the square pyramid, is 4 inches.

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The angle relationships that is supplementary is angle 1 and angle 5.

Supplementary angles are those angles that sum up to 180 degrees.

In other words, supplementary angles refer to the pair of angles that always sum up to 180°.

Alternate exterior angles are congruent to each other.

Therefore, ∠1 and ∠4 are not supplementary angles.

Hence,

m∠4 =m∠1

m∠4 = 85°

Consecutive interior angles are supplementary. That is they sum up to 180 degrees.

m∠1 = 43°

m∠5 = 180 - 43

m∠5 = 137°

Therefore, ∠1 and ∠5 are supplementary angles.

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Answer:

216

Step-by-step explanation:

15^2=225

3^2=9

225-9=216

Answer:

I believe the correct answer would be A: 3/5 = 60

Step-by-step explanation:

Firstly, the second option is wrong because 0.06 would be 6 hundredths, so that is wrong, the third option would be incorrect because 0.002 would equal 2 thousandths so that is also wrong, and the fourth option would be 25% instead of 75%, so your answer should be A.

The solution to the system of equations that is solved graphically is (4, 3). See the diagram below.

To solve a system of equations graphically, you need to follow these steps:

Thus, the equations 2x - y = 5 and x - y = 1 are graphed below, which shows they intersect at (4, 3).

The solution is (4, 3).

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Answer:

-9+30x

Step-by-step explanation:

-3 x 3 is -9

-3 x -10x is 30x

Answer:

-9 + 30x

Step-by-step explanation:

Like you mentioned, to solve this expression we need to use the distributive property...

We have to distribute -3 to 3 and -10x.

When multiplying negative and positive numbers it is important to know that...

-negative times negative equal positive

-negative times positive equal negative

-3 · 3 = -9

-3 · -10x = 30x

Therefore the answer is -9 + 30x

Hope this helps! Let me know if you have any further questions :D

Answer:

180

Step-by-step explanation:

72% of 250

72% x 250

72/100 x 250 = 180

I hope im right!!

Therefore, the maximum displacement of the particle is 4 units, and it occurs at time t = 1.

To find the maximum displacement, we need to first determine the particle's velocity and acceleration.

The velocity of the particle is given by the derivative of its position function:

\(v(t) = y'(t) = 3t^2 - 12t + 9\)

The acceleration of the particle is given by the derivative of its velocity function: a(t) = v'(t) = 6t - 12

Now, to find the maximum displacement, we need to find the time at which the particle comes to rest.

This occurs when its velocity is zero:

\(3t^2 - 12t + 9 = 0\)

Simplifying this equation, we get:

\(t^2 - 4t + 3 = 0\)

This quadratic equation factors as:

(t - 1)(t - 3) = 0

So the particle comes to rest at t = 1 or t = 3.

Next, we need to determine whether the particle is at a maximum or minimum at each of these times.

To do this, we look at the sign of the acceleration:

When t = 1, a(1) = 6(1) - 12 = -6, which is negative.

Therefore, the particle is at a maximum at t = 1.

When t = 3, a(3) = 6(3) - 12 = 6, which is positive.

Therefore, the particle is at a minimum at t = 3.

Finally, we need to find the displacement of the particle at each of these times:

\(y(1) = 1^3 - 6(1)^2 + 9(1) = 4\)

\(y(3) = 3^3 - 6(3)^2 + 9(3) = 0.\)

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Answer:

Sorry I don't know that one