What value of 0 makes this equation true? sin(30)=cos(0)
A. -42
B. 48
C. 42
D.180

Answer:

3x+6

Step-by-step explanation:

This problem is quite simple, all you need to do is you multiply the 3 on the outside of the parenthesis times x, which results in 3x, next multiply 3 times 2 and it becomes a six.

Move all terms that don't contain \(y\) to the right side and solve.

The total price of 2 bags of apples and 3 bags of oranges can be calculated by adding 2 times the price of a bag of apples to 3 times the price of a bag of oranges.

To determine the total price of 2 bags of apples and 3 bags of oranges, you need to know the price per bag of apples and the price per bag of oranges. Let's assume the price per bag of apples is $A and the price per bag of oranges is $O.

The total price of 2 bags of apples would be 2 * A, and the total price of 3 bags of oranges would be 3 * O. To find the overall total price, you can simply add these two amounts together:

Total price = (2 * A) + (3 * O)

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Answer:

yes

Step-by-step explanation:

if (x + a) is a factor of f(x), then f(- a) = 0, Factor theorem

given

f(x) = x³ + 8x² + 11x - 20

then if (x + 4) is a factor f(- 4) = 0

f(- 4) = (- 4)³ + 8(- 4)² + 11(- 4) - 20

       = - 64 + 8(16) - 44 - 20

       = - 64 + 128 - 64

      = 0

since f(- 4) = 0 , then (x + 4) is a factor of the polynomial

Answer:

C. 39/48 = 81%

Step-by-step explanation:

To determine the percentage of females who only said they like cats using the given two-way table, we need to find the number of females who selected "cats" only and divide it by the total number of females surveyed. We can then multiply the result by 100 to get the percentage.

According to the provided two-way table:

Number of females who only said they like cats = 39

Total number of females surveyed = 48

To calculate the percentage:

Percentage of females who only said they like cats = (Number of females who only like cats / Total number of females surveyed) * 100

Percentage of females who only said they like cats = (39 / 48) * 100 ≈ 81.25%

Therefore, the correct option is:

C. 39/48 = 81%

Since the roots are complex, the general solution of the differential equation can be written as: y(t) = e^(50t/20)(c1cos(√(300)t/20) + c2sin(√(300)t/20))

To solve the initial value problem for the given differential equation 10y'' - 50y' + 65y = 0, we need to find the general solution of the equation and then apply the initial conditions to determine the specific solution.

The characteristic equation for the given differential equation is:

10r^2 - 50r + 65 = 0

Solving this quadratic equation, we find that the roots are complex:

r = (50 ± √(50^2 - 41065))/(2*10)

= (50 ± √(-300))/(20)

= (50 ± √(300)i)/(20)

Since the roots are complex, the general solution of the differential equation can be written as:

y(t) = e^(50t/20)(c1cos(√(300)t/20) + c2sin(√(300)t/20))

Now, let's apply the initial conditions to find the specific solution. Since the problem does not provide the initial conditions, we cannot proceed further without knowing the specific values for y(0) and y'(0).

Please provide the initial conditions, and I'll be able to find the specific solution and check if it satisfies the differential equation and initial conditions.

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Given:

The function is

\(f(x)=2x^3-x^2-13x-6\)

To find:

The linear factors of the given function.

Solution:

We have,

\(f(x)=2x^3-x^2-13x-6\)

Splitting the middle terms, it can be rewritten as

\(f(x)=2x^3-(6-5)x^2-(15-2)x-6\)

\(f(x)=2x^3-6x^2+5x^2-15x+2x-6\)

\(f(x)=2x^2(x-3)+5x(x-3)+2(x-3)\)

\(f(x)=(x-3)(2x^2+5x+2)\)

Now, Splitting the middle term, we get

\(f(x)=(x-3)(2x^2+4x+x+2)\)

\(f(x)=(x-3)(2x(x+2)+1(x+2))\)

\(f(x)=(x-3)(x+2)(2x+1)\)

Therefore, the three linear factors of given function are (x-3), (x+2) and (2x+1). Hence, option 4, 5 and 6 are correct.

The linear factors of the given function f(x) = 2x³ - x² - 13x - 6 are;

(x - 3), (x + 2) and (2x + 1)

We are given the function;

f(x) = 2x³ - x² - 13x - 6

Let us start by splitting the terms at the middle. Since last term is 6, we can write 1 before x² as (6 - 5)

Also, we can write 13 as (15 - 2). Thus;

f(x) = 2x³ - (6 - 5)x² - (15 - 2)x - 6

Expanding gives us;

f(x) = 2x³ - 6x² + 5x² - 15x + 2x - 6

Factorizing gives us;

f(x) = 2x²(x - 3) + 5x(x - 3) + 2(x - 3)

(x - 3) is common and so we factorize it out to get;

f(x) = (x - 3)(2x² + 5x + 2)

Let us split (2x² + 5x + 2); 5 can be expressed as 4 + 1.Thus;

f(x) = (x - 3)(2x² + (4 + 1)x + 2)

f(x) = (x - 3)(2x² + 4x + x + 2)

Factorizing again gives;

f(x) = (x - 3)(2x(x + 2) + 1(x +2))

f(x) = (x - 3)(x + 2)(2x + 1)

In conclusion, the linear factors of the given function f(x) = 2x³ - x² - 13x - 6 are; (x - 3), (x + 2) and (2x + 1)

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The probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment is approximately 0.201 or 20.1%.

a. Estimation of the probability of being a member of an environmental group:The probability of being a member of an environmental group can be estimated by calculating the fraction of the total number of people surveyed that are members of an environmental group.P(GRNGROUP) = Total number of people in environmental group/ Total number of people surveyed= 119/1113=0.1069The probability of being a member of an environmental group is approximately 0.107 or 10.7%.b. Estimation of the probability of being willing to pay higher prices to protect the environment:The probability of being willing to pay higher prices to protect the environment can be estimated by calculating the fraction of the total number of people surveyed that are very willing to pay higher prices to protect the environment.P(GRNPRICE) = Total number of people who are very willing to pay higher prices/ Total number of people surveyed= 31+88/1113= 0.106The probability of being very willing to pay higher prices to protect the environment is approximately 0.106 or 10.6%.c. Calculation of the probability of being both a member of an environmental group and very willing to pay higher prices to protect the environment, given the variables are independent:In this case, if the variables are independent, then the joint probability can be calculated by multiplying the two probabilities together.P(GRNGROUP and GRNPRICE) = P(GRNGROUP) x P(GRNPRICE)=0.1069 x 0.106=0.011The probability of being both a member of an environmental group and very willing to pay higher prices to protect the environment is approximately 0.011 or 1.1%.d. Estimation of the probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment directly using the counts in the table:The probability of a person being a member of an environmental group or very willing to pay higher prices to protect the environment can be estimated by calculating the fraction of the total number of people surveyed that fall into either of these two categories.P(GRNGROUP or GRNPRICE) = (Total number of people in environmental group + Total number of people who are very willing to pay higher prices - Number of people in both categories) / Total number of people surveyed= (119 + 31 + 88)/1113= 0.134The probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment is approximately 0.134 or 13.4%.e. Estimation of the probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment by applying the appropriate probability rule to the estimated probabilities found in (a) and (b):P(GRNGROUP or GRNPRICE) = P(GRNGROUP) + P(GRNPRICE) - P(GRNGROUP and GRNPRICE)= 0.1069 + 0.106 - 0.011= 0.201The probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment is approximately 0.201 or 20.1%.

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Answer: (7√x)^9

Step-by-step explanation: The expression x^(9/7) can be rewritten as the seventh root of x raised to the power of 9. So, x^(9/7) = (7√x)^9.

- Lizzy ˚ʚ♡ɞ˚

Answer:

A. 3x+6= 0

Step-by-step explanation:

When you divide - 3 with -x, you will get a positive value and same goes for - 3 and - 2

So that is how you get the answer 3x+6= 0

In this context, the dependent variable is t (amount of tax due) and the independent variable is c (cost of the order).In this scenario, the variables are t (the amount of tax due) and c (the cost of the order).

To determine which variable is independent and which is dependent, we need to understand their relationship.In this case, the amount of tax due, t, is calculated based on the cost of the customer's order, c. The tax amount is dependent on the cost of the order because it is directly influenced by the value of c. As the cost of the order changes, the amount of tax due will also change accordingly.

On the other hand, the cost of the order, c, is independent. It is not influenced or determined by the amount of tax due. The customer can choose the cost of their order, and the tax will be calculated based on that chosen amount.

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Answer:

224

Step-by-step explanation:

Base:

A = Bh

A = 8(8) = 64

Sides:

A = 1/2 Bh

A = 1/2 8(10)

A = 40

Then you do 40(4) because there are 4 sides:

40 (4) = 160

Then you add up the base and the sides:

160 + 64 = 224

(I think this is the right answer)

Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

Answer:

B.

Step-by-step explanation:

One of the lines is going to have the y-intercept of -3

Answer:

link po ito po o hgugifhi zsuff/tkloi77r5 to 57t/

Answer:

THE ANSWER IS AS FOLLOWS

Step-by-step explanation:

The following statements are true based on the given information:

- The largest total number of electronic devices sold was on Wednesday.

- The smallest number of TVs sold was on Monday.

- The same number of phones was sold on each of Monday, Tuesday, and Wednesday. (Note: we cannot tell from the chart whether this number was zero or some other value.)

- On Tuesday, more tablets were sold than any other type of electronic device.

A graph is a way to represent a lot of data in such a visual format.

Hence, The correct statements are A, B, and D.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The statement that is correct about the given table is,

A.) The largest total number of electronic devices sold was on Wednesday.

B.) The smallest number of TVs sold was on Monday.

D.) On Tuesday, more tablets were sold than any other type of electronic device

hence, the correct statements are A, B, and D.

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Step-by-step explanation:

-6>t-(-13)

= -6>t+13

= -6-13>t

= -19>t

= t<-19

Answer:

t < - 19

Step-by-step explanation:

Given

- 6 > t - (- 13) , that is

- 6 > t + 13 ( subtract 13 from both sides )

- 19 > t , then

t < - 19

The answer is -1

(AKA the second option)

Answer:

2.82

Step-by-step explanation:

The formula for the circumference of a circle is given as:

π × D

Where D represents the Diameter of the circle.

From the question:

The circumference of a circle is 8.88cm.

The Length of the Diameter is calculated as:

8.88cm = π × D

D = 8.88 cm/π

D = 2.8265917893 cm

Approximately to 2 decimal places = 2.83cm

Therefore, the length of the diameter = 2.83 cm

a. The distribution of X is X - N(27,996, 7,440²).

b. The probability that a randomly selected college will cost less than $30,116 per year is 0.7807.

c. The 79th percentile for this distribution is $32,341.87.

a. The distribution of X, the cost for a randomly selected college, follows a normal distribution with a mean (μ) of $27,996 and a standard deviation (σ) of $7,440. This means that the majority of college costs are centered around the mean, and the distribution is symmetrical.

b. To find the probability that a randomly selected college will cost less than $30,116 per year, we need to calculate the z-score corresponding to this value. By subtracting the mean from $30,116 and dividing the result by the standard deviation, we find a z-score of 0.2696. Using a standard normal distribution table or a calculator, we can determine that the probability of a college costing less than $30,116 per year is approximately 0.7807.

c. The 79th percentile represents the value below which 79% of colleges fall. To find this value, we need to determine the z-score corresponding to the 79th percentile. Using a standard normal distribution table or a calculator, we find that the z-score is approximately 0.8332. Multiplying this z-score by the standard deviation and adding it to the mean, we obtain the 79th percentile value of $32,341.87.

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Answer:

B

Step-by-step explanation:

hope it helps man

A point on the rim of a wheel with a radius of one meter will travel 219.8 meters if the wheel makes 35 rotations.To find the distance traveled by a point on the rim of a wheel, we need to first calculate the circumference of the wheel. The circumference is equal to the diameter of the wheel multiplied by pi (π).

However, since we are given the radius of the wheel, we can simply multiply the radius by 2 and then by pi to get the circumference.

The formula for calculating the circumference of a circle is:

Circumference = 2 × pi × radius

C = 2 × pi × r

C = 2 × 3.14 × 1 (since the radius is given as one meter)

C = 6.28 meters

Now that we know the circumference of the wheel, we can easily calculate the distance traveled by a point on the rim of the wheel if it makes 35 rotations.

The formula for calculating the distance traveled by a point on the rim of a wheel is:

Distance = Circumference × number of rotations

D = C × n

D = 6.28 × 35

D = 219.8 meters

Therefore, a point on the rim of a wheel with a radius of one meter will travel 219.8 meters if the wheel makes 35 rotations.

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Answer:

42%

Step-by-step explanation:

x is for the volume of the  container

the amount filled in the first container=0.30x

the volume of the first container + 50% of the second=(x+x*50%)=1.5 x

the amount of acid in the second container= 1.5x * 50%=0.75x

total amount of acid in the third one =0.3x+0.75x=1.05x

total solution : x+1.5x=2.5x

percentage=1.05x/2.5x= 0.42 or 42%

The domain of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of f and the domain of g which is false.

A statement, opinion, or rule that forms a linking of two variables is characterized as a function. Mathematics has functions, which are necessary for the design of meaningful relationships.

The range refers to all potential values of y, and the domain refers to all conceivable values of x.

The denominator of the rational function shouldn't be 0. The function is not defined if the denominator is 0.

Thus, the given statement is false.

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If |q| = 5 at an angle of 45° and |r| = 16 at an angle of 300°. then the

|q – r| will be 18.0

To find |q - r|, we need to subtract the complex numbers q and r after which discover the magnitude (or absolute value) of the end result.

First, we want to express q and r in rectangular form, which means that finding their actual and imaginary additives:

For q, we've:

|q| = 5 at an perspective of 45°

Re(q) = |q| cos(45°) = five cos(45°) = 5/√2

Im(q) = |q| sin(45°) = 5 sin(45°) = 5/√2

So q = (5/√2) + (5/√2)i

For r, we have:

|r| = 16 at an angle of 300°

Re(r) = |r| cos(300°) = 16 cos(300°) = sixteen(-√3/2) = -8√three

Im(r) = |r| sin(300°) = 16 sin(300°) = -8

So r = -8√three - 8i

Now we are able to discover q - r by using subtracting the actual and imaginary additives:

q - r = (5/√2) + (5/√2)i - (-8√3 - 8i)

= (5/√2) + 8√3 + (5/√2 + 8)i

To discover |q - r|, we want to take the importance of this complex number:

|q - r| = √[(5/√2 + 8√3)² + (5/√2 + 8)²]

= √[25/2 + 80√3 + 192 + 50/2 + 40 + 64]

= √[125/2 + 80√3 + 256]

= √[625/4 + 320√3 + 1024]

= √[(25/2 + 16√3)²]

= 25/2 + 16√3

≈ 18.0

Hence, |q - r| is about equal to 18.0.

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Using the given information, we can set up an equation to solve for x and then use that value to find m∠N.

m∠M + m∠N + m∠O = 180   (since the angles in a triangle add up to 180 degrees)

Substituting in the given expressions for each angle:

(4x - 13) + (2x - 13) + (5x + 19) = 180

11x - 7 = 180

Solving for x:

11x = 187

x = 17

Now that we know x, we can find m∠N:

m∠N = 2x - 13

m∠N = 2(17) - 13

m∠N = 21

Therefore, m∠N is 21 degrees.

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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

Answer:

Step-by-step explanation:

5, 5, 5, 16, 16, 28, 29, 32, 35, 48

Mode: 5, 16

Median: 44/2 = 22

range: 48 - 5 = 43

mean: (5 + 5 + 5 + 16 + 16 + 28 + 29 +32 + 35 + 48)/10 = 219/10 = 21.9