In Figure 1.4, what is the measure of n?

Answer:

-4w + 32

Step-by-step explanation:

4 (-w + 8)

= (-4 × w) + (4 × 8)

= -4w + 32

Hope it helps :)

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Answer:

-4w + 32

Step-by-step explanation:

4 (-w + 8)

= (-4 × w) + (4 × 8)

= -4w + 32

Answer:

the answer is 4 i believe

Step-by-step explanation:

The answer to the integral ∫sec²(3x-2) dx is (1/3)tan(3x-2) + C, where C is the constant of integration. To evaluate the integral ∫sec²(3x-2) dx, we can use the u-substitution method. This method involves selecting a suitable substitution that makes the integral easier to evaluate. In this case, the substitution u = 3x-2 would be useful.

To use u-substitution, we first need to find the derivative of u with respect to x, which is du/dx = 3. We can then solve for dx by dividing both sides by 3, giving us dx = du/3.

Substituting u and dx in terms of u into the integral, we get:

∫sec²(3x-2) dx = ∫sec²u (du/3)

Now we can evaluate the integral by using the formula for the integral of sec²x, which is tan x + C. Substituting back x in terms of u, we get:

∫sec²(3x-2) dx = (1/3)∫sec²u du = (1/3)tan(3x-2) + C

Therefore, the answer to the integral ∫sec²(3x-2) dx is (1/3)tan(3x-2) + C, where C is the constant of integration.

In conclusion, the u-substitution u = 3x-2 is useful in evaluating the given integral, and it allows us to simplify the integral using a well-known formula for the integral of sec²x.

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Answer:

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

If we add heights from both top vertices, we'll get two isosceles right triangles on sides and a rectangle in the middle.

The triangles are isosceles because of a 45° angle.

Let's call the legs h. Then we have three segments on the bottom base, 2 of a length h and 12 in, but we know it is 20 inches.

Set up an equation:

Find the area:

Usando un sistema de ecuaciones, se encuentra que ese número es n = -3 o n = 3.

Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.

En este problema, la variable es el número n.

El quintuple de un número cuadrado disminuido en 9 da como resultado 36, o sea, la ecuación es:

5n² - 9 = 36

5n² = 45

n² = 9

n = -3 o n = 3.

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Answer:

The monorail runs 18 hours runs every day.

Step-by-step explanation:

You know that the total number of riders the monorail carry each day is 92700 and the number of riders the monorail carry per hour is 5150.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

A direct proportionality relationship is established between two quantities if:

If the relationship between the magnitudes is direct the direct rule of three must be applied and to solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

Being

\(x=\frac{c*b}{a}\)

In this case the rule of three can be applied in the following way: if the monorail carries 5,150 passengers in 1 hour, the monorail will transport 92,700 passengers in how many hours?

\(amount of hours=\frac{92,700 passengers*1hour}{5,150 passengers}\)

amount of hours= 18 hours

So the monorail runs 18 hours runs every day.

Answer:

A

Step-by-step explanation:

To find the volume we do 2 * 1.25 * 1.5 (i rewrote the fractions as decimals) which is 3.75 or 3 and 3/4 cubic inches.

Answer:

V = \(3 \frac{3}{4}\)

Step-by-step explanation:

Hey there!

Well the volume "v" of a rectangular prism is,

V = l•w•h

Fill in

\(V = 2* 1 \frac{1}{4} * 1 \frac{1}{2}\)

V = \(3 \frac{3}{4}\)

Hope this helps :)

Statistical inference methods. These methods help us determine if findings from a sample can be generalized to the full population by using mathematical techniques to make inferences about population parameters based on sample data.

Mathematical methods that allow us to determine whether we can generalize findings from our sample to the full population are called statistical inference methods. These methods involve making inferences and drawing conclusions about population parameters based on sample data. Statistical inference helps us make statements about the population based on the information obtained from a representative sample. Common techniques in statistical inference include hypothesis testing, confidence intervals, and estimation.

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Answer:

c−12>−4

Step 1: Add 12 to both sides.

c−12+12>−4+12

c>8

Answer:

c>8

Step-by-step explanation:

Answer:

The answer is 80 miles 2/23

Step-by-step explanation:

I hope this helps

The value of angle θ is (-1/3)π, (5/3)π for n = 0, 1 respectively.

Given equation is,tan θ = -√3

Let us take the inverse tangent of both sides,tan⁻¹ (tan θ) = tan⁻¹ (-√3)θ = tan⁻¹ (-√3) + nπθ = -60° + n(180°), where n is any integer

Let us convert this degree measure into radians,θ = (-60° + n(180°))π/180θ = (-1/3 + 2n)π where n is any integer. Hence the value of θ is (-1/3)π, (5/3)π for n = 0, 1 respectively.

Thus, θ = (-1/3)π, (5/3)π for n = 0, 1 respectively.We are given the equation,tan θ = -√3Let us take the inverse tangent of both sides of the given equation to obtain,θ = tan⁻¹ (-√3)θ = -60° + n(180°), where n is any integer

Let us convert this degree measure into radians,θ = (-60° + n(180°))π/180θ = (-1/3 + 2n)π where n is any integer.

Hence the value of θ is (-1/3)π, (5/3)π for n = 0, 1 respectively.

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For length of 50 yards , the width is 60 yards, for length of 40 yards , the width is 75 yards, for length of 48 yards, the width is 62.5 yards , for length of 36 yards, the width is 83.33 yards, they are inversely proportional.

The formula for the area of a rectangle is: Area = Length * Width.

So, for the given case, we have:

Area = 3000 square yards

Length = 50 yards, 40 yards, 48 yards, or 36 yards

Therefore, the width of the plot in each case can be calculated as:

For Length = 50 yards,

Width = Area / Length

= 3000 / 50

= 60 yards

For Length = 40 yards,

Width = Area / Length

= 3000 / 40

= 75 yards

For Length = 48 yards,

Width = Area / Length

= 3000 / 48

= 62.5 yards

For Length = 36 yards,

Width = Area / Length

= 3000 / 36

= 83.33 yards

Therefore, the width of the plot depends on the length chosen and they are inversely proportional. When the length increases, the width decreases, and when the length decreases, the width increases.

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Answer:

b.

Step-by-step explanation:

Answer:

B. increased resistance to environmental factors

Step-by-step explanation:

Mike comes to a stop 105.3 feet above sea level while trekking on a mountain. The vertical separation between Mike and the mountain's base is 101.5 feet .

Given that,

Mike comes to a stop 105.3 feet above sea level while trekking on a mountain. There are 3.8 feet of sea level below the mountain's base.

We have to find what is the vertical separation between Mike and the mountain's base.

The Mike comes to a stop 105.3 feet above sea level while trekking on a mountain.

3.8 feet of sea level below the mountain's base.

We just have to do the difference of the above sea level feet and below sea level feet.

=105.3-3.8

=101.5

Therefore, the vertical separation between Mike and the mountain's base is 101.5 feet .

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The set that we must describe is composed of those which are at least 6.5. At least means that these values are either 6.5 or greater. Then if n is any element of this set it meets the following condition:

Then the answer is the first option.

Answer: 15 and 165

1. The sum of the angles here is 180 degrees and we have 2 values for both the angles, 2x-15 and 11x

2. We make an equation to find the value of x, 2x-15+11x=180

3. After solving we get 195=13x and when divided we get x=15

4. Plug 15 into both angle mesurements and we get <AOB is 15 and <BOC is 165

Answer: y = -3/4x + 7

Step-by-step explanation:

first find slope:

y2-y1 / x2 - x1

1-4 / 8-4

-3/4

now just plug the slope (m) into the equation of a line using one of the points to find the y intercept

ill use (8,1)

1 = (-3/4)(8) + b

now solve :)

1 = -6 + b

7 = b

so now plug in the slope and the y intercept into the slope intercept form to find the equation of the line

y = -3/4x + 7

Answer:

a) 30.24%

b) 15.12%

c) 0.09%

Step-by-step explanation:

a) 5 digit zip code with no repeated digits

Firstly, there are 10 digits. After each digit in the zip code, one is used up.

The total number of zip codes possible is 10^5, or 100,000

The number of zip codes with no repeated digits can be found with:

(10-0)*(10-1)*(10-2)*(10-3)*(10-4)

which equals

10 * 9 * 8 * 7 * 6 = 30240

30240 divided by 100,000 is 0.3024

b) same process, but the numbers used are only 1-9.

(9-0)*(9-1)*(9-2)*(9-3)*(9-4) = 9 * 8 * 7 * 6 * 5 = 15120

15120 divided by 100,000 is 0.1512

c) back to using 1-10, but with a 1/10 chance for three digits

(10-0)*(10-1)*(1)*(1)*(1) = 8 * 9 = 90

90 divided by 100,000 is 0.0009

The probability of a 5-digit zipcode having no repeated digits is 0.3024, no 0's is 0.59049, and exactly two 1's and two 3's is 0.0012.

The probability of a 5-digit zipcode having no repeated digits, no 0's, and exactly two 1's and two 3's can be calculated using the formula for probability, which is P(event) = a number of favorable outcomes/number of possible outcomes.

(a) No repeated digits:

The number of favorable outcomes is 10*9*8*7*6 since there are 10 choices for the first digit, 9 for the second, 8 for the third, 7 for the fourth, and 6 for the fifth.

The number of possible outcomes is 10^5 since there are 10 choices for each of the 5 digits. Therefore, the probability is (10*9*8*7*6)/(10^5) = 0.3024.

(b) No 0's:

The number of favorable outcomes is 9*9*9*9*9 since there are 9 choices for each of the 5 digits (excluding 0).

The number of possible outcomes is 10^5 since there are 10 choices for each of the 5 digits. Therefore, the probability is (9^5)/(10^5) = 0.59049.

(c) Exactly two 1's and two 3's:

The number of favorable outcomes is 5*4*3*2*1 since there are 5 choices for the first 1, 4 for the second 1, 3 for the first 3, 2 for the second 3, and 1 for the remaining digit.

The number of possible outcomes is 10^5 since there are 10 choices for each of the 5 digits. Therefore, the probability is (5*4*3*2*1)/(10^5) = 0.0012.

Therefore, the probability is 0.0012.

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See the attachment for the formulas

Above answer's I'd is of mine and I told u in the comments that I'll give you the formulas so here they are

A student placing in the 99th percentile on an exam indicates that her performance is similar to a statement based on a cumulative frequency distribution. The correct option is D.

A cumulative frequency distribution provides information about the percentage of individuals or data points that fall below a certain value. In this case, the student's placement in the 99th percentile means that she performed better than 99% of all the students who completed the exam. This implies that her score or performance was higher than that of the majority of the students, as she surpassed 99% of them.

A cumulative frequency distribution is particularly relevant because it illustrates the cumulative accumulation of data as the values increase, allowing for a clear understanding of how the student's performance compares to the rest of the test-takers. Thus, the student's achievement being similar to a statement based on a cumulative frequency distribution emphasizes the exceptional nature of her performance on the exam.

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Answer:

answer is 15 and second one i dont know yet sorry am doing scoo

Step-by-step explanation:

Answer:

The cost of 1 orange is $2.05.

Step-by-step explanation:

Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25.

Cost of 5 oranges = $5x

Cost of 2 packs of strawberries = 2×5 = $10

ATQ,

5x + 10 = 20.25

Subtract 10 both sides

5x + 10 -10 = 20.25-10

5x = 10.25

x = 2.05

So, the cost of 1 orange is $2.05.

Answer:

Step-by-step explanation:

450

Answer:

5:9

Step-by-step explanation:

the circumference is d*pi

so you must find the diameter of both circles

31/pi = 9.86760647

which is about 10

57/pi = 18.1436635

which is about 18

10:18 is your ratio

but you can simplify this down to

5:9

The equivalent expression as per algebra tiles is 3x+3.

One group means (x 1)

or x    1

Three groups mean 3(x 1)

or x   1

   x    1

   x    1

Now, we have to write an equivalent expression.

Algebra tiles are mathematical manipulatives that allow students to better understand ways of algebraic thinking and the concepts of algebra.

For example, one can represent the variable part by any geometric object and add them to represent the addition of variables.

As per algebra tiles

Add integer to integer

So, x + x + x =3x

Add variable to variable

So, 1 + 1 +1 =3

So, 3(x 1) = 3x+3

Therefore, the equivalent expression as per algebra tiles is 3x+3.

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Answer:

your answer issss

Step-by-step explanation:

Model the expression as

✔ 3

groups of x + 1.

There are

✔ 3

x tiles.

There are

✔ 3

+ 1 tiles.

The equivalent expression is

✔ 3x + 3

.

Step 1: Find the number of bronze members

40% of the gym's members are bronze members. Therefore, we need to find 40% of 4000. We can do this either by multiplying 4000 by 0.4 (40% as a decimal) or setting up a proportion. I will demonstrate the proportion method.

percent / 100 = part / whole

40 / 100 = x / 4000

---Cross multiply and solve algebraically.

100x = 160000

x = 1600 bronze members

Step 2: Find the number of silver members

Using the same methodology as last time, we can set up and solve a proportion to find the number of silver members.

percent / 100 = part / whole

25 / 100 = y / 4000

100y = 10000

y = 1000 silver members

Step 3: Find the number of gold members

Now that we know how many bronze and silver members the gym has, we can subtract those values from the total number of members to find the number of gold members.

4000 - bronze - silver = gold

4000 - 1600 - 1000 = gold

gold = 1400 members

Answer: 1400 gold members

ALTERNATIVE METHOD OF SOLVING

Alternatively, we could have used the given percents and only used one proportion. We know percents have to add up to 100. We are given 40% and 25%, which means the remaining percent is 35%. Therefore, 35% of the members are gold members. Just as we did for the silver and bronze members above, we can set up a proportion and solve algebraically.

percent / 100 = part / whole

35 / 100 = z / 4000

100z = 140000

z = 1400 gold members

Hope this helps!

Answer:  what school u be going to cause thats more numbers then a yard

Step-by-step explanation:

Answer:

B.) cylinder

Step-by-step explanation:

2 circles on either side and a rectangle between them