need some help...............​

Answer:

x = 46

Step-by-step explanation:

These 2 angles would add up to 180 degrees.

So 41 + (3x+1) = 180

Let's solve for x.

41 + 3x + 1 = 180

Combine like terms.

42 + 3x = 180

subtract 42 from both sides

3x = 180-42

3x = 138

divide both sides by 3

x = 46

The actual distance between Seward and Anchorage is 131.2 miles.

"Distance is the total movement of an object without considering its direction."

1 mile = 63360 inches

For given question:

A map of Alaska has a scale of 1 : 4,750,000

The distance between Seward and Anchorage is 1¾ inches.

\(1\frac{3}{4} = 1.75\) inches

The actual distance between Seward and Anchorage is,

\(1.75 \times 4750000\)

\(= 8312500\) inches

\(\approx131.2\) miles

Hence, the actual distance between Seward and Anchorage is approximately 131.2 miles.

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After any particular a, the next a in the sequence must appear exactly 2 or 3 positions down the line. In this case, we start at position b and end at position 19. answer is 65

i.e. we move a total of 18 positions down the line. Therefore, we must add a series of c's and d's to get 18. There are several ways to do this:

Case 1: nine c's - there is only 1 way to arrange them.

Case 2: two d's and six c's - there are 28 ways to arrange them.

Case 3: four d's and three c's - there are 35 ways to arrange them.

Case 4: six c's - there is only 1 way to arrange them.

Summing the four cases gives 1+28+35+1 = 65

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The sandwich's price is represented by the variable s , 2 is the coefficient of s and 2.97 represents both the cost of a big drink and a constant

What is  Algebraic Expression?

An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. For instance, the algebraic formula 3x2 2xy + c

The cost of Andrew's lunch is written as the algebraic expression

2s + 2.79 as a given. He bought a huge drink and two sandwiches.

In the algebraic expression given;

2s + 2.79

Here, 2 stand in for the coefficients of s, which stands for the quantity of sandwiches he purchased.

The sandwich's price is represented by the variable s, which is a function of the coefficient.

And 2.97 represents both the cost of a big drink and a constant since no further letters have been added.

Hence, sandwich's price is represented by the variable s , 2 is the coefficient of s and 2.97 represents both the cost of a big drink and a constant

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The probability that she picks two white socks is 0.0357

The given parameters are:

Socks = 8

Black = 4

White = 2

Brown = 1

Red = 1

The probability of picking a white sock at first is:

P(White) = 2/8

Now, there are 7 socks left

The probability of picking a white sock next is

P(White) = 1/7

The required probability is:

P = 2/8 * 1/7

Evaluate

P = 0.0357

Hence, the probability that she picks two white socks is 0.0357

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Answer: x=10

Step-by-step explanation:  1.Subtract the numbers

2. Divide both sides of the equation by the same term

3.Simplify (Cancel terms that are in both the numerator and denominator)

A function is a mapping from domain to range. The domain of the function \(y = \sqrt{x+6} - 7\) is given as: \(x \geq -6\) or \(x \in [-6, \infty)\) (both are same)

One method of finding the domain of a function is to start by finding the values for which it isn't defined.

Assuming that the function  \(y = \sqrt{x+6} - 7\) is defined for only real numbers, then, as we know that:

\(\sqrt{x}\) exists only if x is non-negative, which means for  \(\sqrt{x+6}\) to be defined, we need

\(x + 6 \geq 0\\x \geq -6\)

No other way is there for the function to be non-existing.

Thus, the values on which the function is defined is all real numbers bigger or equal to -6. This is the domain of the given function.

Thus,  the domain of the function \(y = \sqrt{x+6} - 7\) is given as: \(x \geq -6\) or \(x \in [-6, \infty)\) (both are same)

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Answer:

Its B

Step-by-step explanation:

The exponential form of the expression= \(y^{8/3}\)

To expresses it in an exponential form we have expression:

\(\sqrt[3]{y^{8} }\)

As we have to express as

\(a^{m}\)/ \(a^{n}\) = \(a^{m}\)\(a^{-n}\)

          = \(a^{m-n}\)

From the question we have

\(\sqrt[3]{y^{8} }\)

\((y^{8}) ^{1/3}\)

\(y^{8/3}\)

Therefore the exponential form of the expression is \(y^{8/3}\)

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For b to be in the plane spanned by a1 and a2, the value of h must be 0.

The plane spanned by a1 and a2 can be expressed as ax + by + cz + h = 0, where a, b and c are the coefficients of the two vectors a1 and a2.

For b to be in the plane spanned by a1 and a2, the equation ax + by + cz + h = 0 must be satisfied, where a, b and c are the coefficients of the two vectors a1 and a2.

Using the given values for a1 and a2, we can calculate the values of a, b and c. We get a = 1, b = -5 and c = 0.

Substituting these values in the equation ax + by + cz + h = 0, we get:

1x + (-5)y + 0z + h = 0

Solving for h, we get h = 0.

Therefore, for b to be in the plane spanned by a1 and a2, the value of h must be 0.

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Moe's present age = 32

Zach's present age = 24

Let Moe's present age be represented by m

Let Zach's present age be represented by z

Moe is 8 years older than Zach now

m = z + 8..........(1)

Twenty years ago, Moe's age would be m - 20

Twenty years ago, Zach's age would be z - 20

Twenty years ago, Moe's age was three times that of Zach

m - 20 = 3(z - 20)

m - 20 = 3z - 60

m = 3z - 60 + 20

m = 3z - 40..........(2)

Let equations (1) and (2) be equal to each other:

z + 8 = 3z - 40

3z - z = 8 + 40

2z = 48

z = 48 / 2

z = 24

Substitute the value of z into equation (1)

m = z + 8

m = 24 + 8

m = 32

Moe's present age = 32

Zach's present age = 24

Answer:

Step-by-step explanation:

To calculate either the profit or loss we must first find the cost price and the selling price

For the cost price

She bought 150 oranges at ¢12

Cost price = ¢ 12.00

For the selling price

She sold 6 at 30 Gp that's ¢ 0.30

If she sold 6 at ¢ 0.30

Then 150 will be 150× 0.3/ 6

Selling price = ¢ 7.50

Since the cost price is higher than the selling price she made a loss

Loss = Cost price - Selling price

Loss = ¢ 12 - ¢ 7.50

Hope this helps you

Answer:

5/9

step by step follow up

From the given data of room ,ceiling , windows and door , the area of the four walls and ceiling to be painted is equal to 783.75 ft².

As given in the question,

Room is 14ft by 20 ft

Height of the room = 8ft

Two windows are of 3ft by 4ft

Door is 2.5ft by 6.5ft

Area of the four walls = 2 (14 × 8) + 2(20×8)

                                  = 224 +320

                                  = 544ft²

Area of the ceiling = 14 × 20

                             = 280ft²

Area of two windows = 2(3×4)

                                  =24ft²

Area of the door= 2.5 ×6.5

                         =16.25ft²

Total area to be painted = ( 544 + 280 -24-16.25 )

                                      = 783.75 ft²

Therefore, the total area of the four walls and ceiling to be painted is equal to 783.75 ft².

The complete question is :

A room is 14ft by 20ft. It needs to be painted. The ceiling is 8ft above the floor. There are two windows in the room, each one is 3ft by 4ft. The door is 2.5ft by 6.5ft.

a. find the total area of the four walls and ceiling to be painted?

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(a) |a × b| = 82.06

(b) a ⋅ b = 53.17

(c) (a + b) ⋅ b = 121.78

(d) The component of a along the direction of b is 6.92.

To find the solution for the given problem, we can use the formulas and properties of vector operations.

(a) To find the magnitude of the cross product of vectors a and b, we use the formula |a × b| = |a| |b| sinθ, where |a × b| represents the magnitude of the cross product, |a| and |b| represent the magnitudes of vectors a and b respectively, and θ represents the angle between the two vectors. In this case, since vectors a and b are given, we can calculate their cross product using the components of the vectors and find its magnitude.

(b) To find the dot product of vectors a and b, we use the formula a ⋅ b = |a| |b| cosθ, where a ⋅ b represents the dot product, |a| and |b| represent the magnitudes of vectors a and b respectively, and θ represents the angle between the two vectors. By substituting the given values into the formula, we can calculate the dot product.

(c) To find the dot product of the sum of vectors a and b with vector b, we can simply substitute the values of a, b, and the sum of a and b into the dot product formula. By performing the necessary calculations, we can find the dot product.

(d) To find the component of vector a along the direction of vector b, we use the formula a_b = |a| cosθ, where a_b represents the component of a along the direction of b, |a| represents the magnitude of vector a, and θ represents the angle between vectors a and b. By substituting the given values into the formula, we can calculate the component of a along the direction of b.

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The time t at which the population is 500 is 45 hours.

The equation gives the rate of change of the population at time t:

dP/dt = kP

where P is the population at time t and k is the constant of proportionality.

We can use this equation to find the value of k by substituting the known values of P and t at time t=24 hours:

dP/dt = kP

1000 = k*300

k = 1000/300

k = 10/3

Now that we know the value of k, we can use the equation to find the time t at which the population is 500:

dP/dt = kP

500 = (10/3)P

P = 500*3/10

P = 150

Since the population at time t=0 hours is 300, the population has decreased by 150 over the 24 hours, so t = -150/(-10/3) = 45 hours.

Therefore, the time t at which the population is 500 is 45 hours.

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dP/dt = kP

We can use this equation to find the value of k by substituting the known values of P and t at time t=24 hours:

dP/dt = kP

1000 = k*300

k = 1000/300

k = 10/3

dP/dt = kP

500 = (10/3)P

P = 500*3/10

P = 150

Since the population at time t=0 hours is 300, the population has decreased by 150 over the 24 hours, so t = -150/(-10/3) = 45 hours.

Therefore, the time t at which the population is 500 is 45 hours.

The standard deviation of a sample proportion is given by the formula:

σ = sqrt((p * (1 - p)) / n)

where σ is the standard deviation, p is the sample proportion, and n is the sample size.

If we want the standard deviation to be one-half of what it was for a sample of size 100, we can write the following equation:

(sqrt((p * (1 - p)) / n)) / 2 = sqrt((p * (1 - p)) / 100)

To simplify the equation, we can square both sides:

((p * (1 - p)) / n^2) / 4 = (p * (1 - p)) / 100

Simplifying further:

100 * n^2 = 4 * 1

n^2 = (4 * 1) / 100

n^2 = 0.04

Taking the square root of both sides:

n = sqrt(0.04)

n = 0.2

Therefore, the sample size should be 0.2. However, since the sample size must be a positive integer, we round it up to the nearest whole number. Therefore, the sample size should be 1.

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The truth values for each statement are as follows:

a. P(0) is true,b. P(1) is true,c. P(2) is false,d. P(-1) is false.,e. ∃xP(x) is true,f. ∀xP(x) is false

a. P(0): In this case, we substitute 0 into the statement P(x). Therefore, we have 0 = 0^2. Simplifying, we see that 0 = 0, which is true.

b. P(1): Substituting 1 into the statement P(x), we get 1 = 1^2, which simplifies to 1 = 1. This is also true.

c. P(2): Substituting 2 into the statement P(x), we have 2 = 2^2, which simplifies to 2 = 4. This is false.

d. P(-1): Substituting -1 into the statement P(x), we obtain -1 = (-1)^2, which simplifies to -1 = 1. This is false.

e. ∃xP(x): This statement means "There exists an x for which P(x) is true." Since we have already found examples where P(x) is true (P(0) and P(1)), we can conclude that ∃xP(x) is true.

f. ∀xP(x): This statement means "For all x, P(x) is true." However, since we have found counter examples where P(x) is false (P(2) and P(-1)), we can conclude that ∀xP(x) is false.

In summary, the truth values for each statement are as follows:

a. P(0) is true.

b. P(1) is true.

c. P(2) is false.

d. P(-1) is false.

e. ∃xP(x) is true.

f. ∀xP(x) is false.

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Answer:

3/8

Step-by-step explanation:

There are 4 black sections, 3 gray sections, and 1 white section.

This means that there are 8 in total.

3/8 of the squares are gray so that would be the answer.

Answer:

Step-by-step explanation:

You'll need to find a way to share the graph or graphs associated with this problem.

The period is 4.  The relationship between period and b (the coefficient of the independent variable of the cosine function) is (period) =(2π.b).  Given that the period here is 4,

       2π                          2π

4 = ---------, and so b = ------- = π/2.

                                       4

So now our y  = a*cos (bx + c) becomes

                    π

y = 10*cos (------x + 0 + 10

                     2

The horizontal center line of this cosine curve is y = 10.  The maximum value of the curve is 20, which is 10 + 10, and the minimum value is 0, which is 10 - 10.

The function that describes the given situation is \(\rm y = 10\;cos\left(\dfrac{\pi}{2}x\right) + 10\) and this can be determined by using the properties of the trigonometric function.

Given :

The following steps can be used in order to determine the function could be the function described:

Step 1 - According to the given data, the cosine function has a period of 4.

Step 2 - Now, the independent variable of the cosine function is given by:

\(\rm 4b = 2\pi\)

\(\rm b =\dfrac{\pi}{2}\)

Step 3 - The maximum value of the cosine function is 1 and the minimum value of the cosine function is -1.

Step 4 - From the above steps, the function that described the given situation is given by:

\(\rm y = 10\;cos\left(\dfrac{\pi}{2}x\right) + 10\)

Therefore, the correct option is C).

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the total cost of the carpet for Courtney's new house will be $24.89.

To find the total cost of the carpet, we need to multiply the cost per yard by the number of yards.

Cost per yard = $2.62

Number of yards = 9.5

Total cost of carpet = Cost per yard x Number of yards

Total cost of carpet = $2.62 x 9.5

Total cost of carpet = $24.89

what is number?

A number is a mathematical object used to represent quantity, magnitude or a value. Numbers can be used for various purposes, such as counting, measuring, and performing mathematical operations like addition, subtraction, multiplication, and division. Numbers can be classified into different categories, including natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers, depending on their properties and characteristics. Numbers are an essential part of everyday life and are used in many fields, including science, engineering, economics, and finance, among others.

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The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

Answer:

ENGLISH

One of the angles must equal 90 degrees and the other two angles must add up to 90 degrees.

SPANISH TRANSLATION

Uno de los ángulos debe ser igual a 90 grados y los otros dos ángulos deben sumar 90 grados.

The given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.

According to the given question.

We have two planes

2x - 4y + 3z = 5

and,

x + 8y + 10z = 3

Since, two planes are perpenicular if

\(a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2} = 0\)

Where \(a_{1}\), \(b_{1}\) and \(c_{1}\) and \(a_{2}\), \(b_{2}\) and \(c_{2}\) are the direction ratios of planes.

And the two planes are parallel to each other if

\(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }\)

Here, the direction ratios of plane 2x + 4y + 3z = 5 are 2, -4, and 3  and the direction ratios of plane x + 8y + 10z = 3 are 1, 8, and 10

Now,

2(1) + (-4)(8) + 3(10)

= 2 - 32 + 30

= 0

Since, the sum of the product of the direction ratios of  the two palnes is 0. Therefore, the given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.

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Answer:

Step-by-step explanation:

Tan-1(19.0811) = 86.999994

That's about as close to 87 as you can get with 6 places of accuracy. The trick is knowing how to get the inverse tangent (tan-1(x) ), or maybe it is just knowing that you have to get it. The inverse tan starts with a decimal number that comes from the tangent definition Tan(theta) = opposite / adjacent.

So what you are starting with is the ratio for the Tangent and you are trying to find the angle theta. In this case, it is 87.

Answer:

The answer is below

Step-by-step explanation:

The question is not correct, the correct question is:

The regional manager of a chain of department stores created the following stem-and-leaf plot showing the number of pairs of boots at each of the stores:

I 0 I

I 1 I 7 8

I 2 I 0 5 8

I 3 I 4 4 7 8

I 4 I 0

I 5 I

I 6 I

How many department stores have more than 60 pairs of boots

Answer:

The stem and leaf plot is a table which is used to represent a value with the first and other digit as the stem while the last digit is the leaf.

From the table attached, the first column is the stem and the remaining column are the leafs. Therefore from the table, below are the pairs of boots in different stores:

17, 18, 20, 25, 28, 34, 34, 37, 38 and 40.

All the store have fewer than 60 boots. This means that the number of stores with more than 60 pairs of boots is 0

Answer:

hope this helps

Step-by-step explanation :https://youtu.be/mxvAH2KJJig

The average number of purchases expected to be made in a day can be calculated by multiplying the average number of customers per day (μ) by the probability of a customer making a purchase.

To calculate the average number of purchases in a day, we need to consider two factors: the average number of customers per day (μ) and the probability of a customer making a purchase.

1. Average Number of Customers per Day (μ):

The average number of customers per day (μ) represents the average number of customers that visit the jewelry store in a single day. This value is given in the problem.

2. Probability of a Customer Making a Purchase:

For any given day, each customer has a probability of not making a purchase. Let's denote this probability as P(not purchase).

Since the problem states that each customer is independent of one another and independent from the total number of customers within a day, we can assume that this probability is the same for all customers.

Therefore, the probability of a customer making a purchase can be calculated as 1 - P(not purchase).

3. Calculating the Average Number of Purchases:

The average number of purchases in a day can be obtained by multiplying the average number of customers per day (μ) by the probability of a customer making a purchase. Mathematically, this can be expressed as follows:

Average number of purchases = μ * (1 - P(not purchase))

This formula takes into account both the average number of customers per day and the probability of a customer making a purchase. It provides an estimation of the average number of purchases that can be expected in a single day at the jewelry store, considering the variability in customer behavior.

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