find all solutions in the interval [0,2pi).
7tan^3x-21tanx=0
a. pi/3, 2pi/3, 4pi/3, 5pi/3
b. 0, pi/5, pi, 6pi/5
c. 0, pi/3, 2pi/3, pi, 4pi/3, 5pi/3
d. 0, pi/3, pi, 4pi/3

Answer:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

In this case, the y-intercept is (0, -1) and the slope is 4. So we have:

y = 4x - 1

Therefore, the equation of the line with y-intercept (0, -1) and slope 4 is y = 4x - 1.

Answer:

B

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Start out -20     and change 0° ?

then there is zero slope as this would be a horizontal line.

One vase of flowers contains eight purple tulips and six yellow tulips. A second vase of flowers contains five purple tulips and nine yellow tulips. An example of dependent events is selecting a purple tulip from the first vase and then selecting a yellow tulip.

The probability of selecting a purple tulip from the first vase is 8/14. Therefore, the probability of selecting a yellow tulip from the first vase is 6/14. Now, the second event is to select a tulip from the second vase. The event of choosing a purple tulip from the second vase is 5/14. Therefore, the second event would depend on the result of the first event. The answer is "yellow tulip" since the two events are dependent on each other.

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The value of the expression 1+1+1+1+11+1+1+1+11+1x0+1 is 30.

To evaluate the given expression, we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

First, we perform the multiplication: 1x0 = 0. The expression now becomes 1+1+1+1+11+1+1+1+11+0+1.

Next, we perform the addition and subtraction operations from left to right: 1+1 = 2, 2+1 = 3, 3+1 = 4, 4+11 = 15, 15+1 = 16, 16+1 = 17, 17+1 = 18, 18+11 = 29, 29+0 = 29, and finally 29+1 = 30

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PLEASE GIVE BRAINLIEST <33

Answer:

The answer is 30

Step-by-step explanation:

First we'll start with PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

We'll start with multiplication: 1x0=0

Now the equation is: 1 + 1 + 1 + 1 + 11 + 1 + 1 + 1 + 11 + 1

Since we have two sets of 11, it would equal 22

Now the equation is: 22 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1

We have eight sets of 1. Adding them all together would equal 8.

Now the equation is: 22 + 8 which would equal 30

The length of the smallest part of the line segment is 12 cm.

The line segment of length 96 cm is divided into 3 parts with the ratio of 2:9:5. The given ratio is a part-to-whole ratio. We can find the lengths of the parts by applying the formula:

Part = Whole × Ratio

Part 1 = 96 cm × (2/16)

= 12 cm

Part 2 = 96 cm × (9/16)

= 54 cm

Part 3 = 96 cm × (5/16)

= 30 cm

Therefore, the length of the smallest part of the line segment is 12 cm.

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There are different consecutive ways that the flowers can be planted:

3,9,15,21 and so on.

Numbers that follow each other in a regular counting order or pattern are called consecutive numbers. They are written sequentially, where the difference between the numbers is fixed and no number in between is skipped.

Given that:

Roses plants in 1st, 2nd, row are:

3,9 ,.....

Since difference between consecutive terms is same:

It is an AP

We have to find number of row in the flower bed:

Lets assume there are n rows in the flowers bed.

We know that:

    aₙ = a + (n-1)d

and d = 9-3 = 6

Therefore, the next numbers can be:

3,9,15 ,21 ......

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The correct answer is a. means.  Analysis of variance (ANOVA) is a statistical method used to compare the means of several populations or groups.

It determines whether there are statistically significant differences among the means of multiple groups based on the variation observed within and between the groups.

ANOVA is commonly used in various fields, such as experimental research, social sciences, and business, to assess the impact of different factors or treatments on a response variable. By comparing the means of multiple groups, ANOVA helps determine if there is evidence to suggest that the group means are different and not simply due to random chance.

Therefore, in the given context, the blank should be filled with "means" as ANOVA compares the means of several populations

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The GPA of a student who studies for 15 hours a week is 2.935.

What is a GPA?

Grade point average, or GPA, is a conventional method of evaluating academic performance in the United States on a scale of 0 to 4.

How to calculate GPA?

To calculate your GPA, divide the total number of grade points earned by the total number of letter-graded units undertaken.

Here,

We have an equation y = 0.164x + 0.475

put x= 15

we get,

y = 0.164* 15 + 0.475

y = 2.935

Hence, The GPA of a student who studies for 15 hours a week is 2.935

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Check the picture below.

so the horizontal lines are 4 and 12, and then we have a couple of slanted ones, say with a length of "c" each

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{4}\\ o=\stackrel{opposite}{3} \end{cases} \\\\\\ c=\sqrt{ 4^2 + 3^2}\implies c=\sqrt{ 16 + 9 } \implies c=\sqrt{ 25 }\implies c=5 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Perimeter}}{4+12+5+5}\implies \text{\LARGE 26}\)

Answer:

I think the answer is 2,940 but not completely sure

The height of the pile is increasing at a rate of approximately 0.056 feet per minute when the pile is 12 feet high.

We are given that sand is falling off at a rate of 14 cubic feet per minute, and the diameter of the base of the cone is approximately three times the altitude. Let h be the height of the pile at a given time t, then we can write the volume of the cone as V = (1/3)πr^2h, where r is the radius of the base of the cone. Since the diameter is three times the altitude, we have r = 3h/2.

Taking the derivative of the volume with respect to time, we get dV/dt = (1/3)π(9h^2/4)(dh/dt). Plugging in the given values, we get:

14 = (1/3)π(9h^2/4)(dh/dt)

Simplifying, we get:

dh/dt = 56/(3πh^2)

When the height of the pile is 12 feet, the rate of change of the height of the pile is:

dh/dt = 56/(3π(12)^2) ≈ 0.056 ft/min.

Therefore, the height of the pile is changing at a rate of approximately 0.056 ft/min when the pile is 12 feet high.

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Answer:

D. X=6.08, x=-0.58

Step-by-step explanation:

Given the rational expression

\(\frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x^2-4x-6x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x(x-4)-6(x-4)} = \frac{-3}{x-6}\\ \\\frac{2x}{x-4}-\frac{2x-5}{(x-4)(x-6)} = \frac{-3}{x-6}\\Rerrange;\\\frac{2x-5}{(x-4)(x-6)} = \frac{2x}{x-4}+ \frac{3}{x-6}\\\frac{2x-5}{(x-4)(x-6)} = \frac{2x(x-6)+3(x-4))}{(x-4)(x-6)}\\\)

Cancel out the denominator on both sides

\(2x-5 = 2x(x-6)+3(x-4)\\Expand\\2x-5 =2x^2-12x+3x-12\\2x-5 = 2x^2-9x-12\\Equate \ to \ zero\\2x^2-9x-12-2x+5 = 0\\2x^2-11x - 7 = 0\\\)

Factorize

\(x = -(-11)\pm\frac{\sqrt{(-11)^2-4(2)(-7)} }{2(2)}\\x = 11\pm\frac{\sqrt{121+56} }{4}\\x = 11\pm\frac{\sqrt{177} }{4}\\x = 11\pm\frac{13.3 }{4}\\x = \frac{11+13.3}{4} \ and \ x = \frac{11-13.3}{4} \\x = 6.08 \ and \ - 0.58\)

Hence the required solution is X=6.08 and -0.58

Answer:

His model can be improved by removing one of the 2s from the deck.

Step-by-step explanation:

His model can be improved by removing one of the 2s from the deck.

Answer:

His model can be improved by removing one of the 2s from the deck.

Step-by-step explanation:

Plato/Edmentum

The overall algebraic  expression will be:   \(\frac{5(x+11)}{3(x+8)}\)

Definition of algebraic expression -

An expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.

Five times the sum of a number and eleven, divided by three times the sum of the number and eight.

Let the number be x.

Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:

5(x + 11)

Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:

3(x + 8)

So, the overall algebraic expression will be:    \(\frac{5(x+11)}{3(x+8)}\)

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Answer:

8

Step-by-step explanation:

4.60=0.2t+0.5f

t=20 cent coins

f=fifty cent coins

t+f=14

multiply the second equation by 0.5 to eliminate the f and subtract one equation from another.

    4.60=0.2t+0.5f

   -(7      =0.5t+0.5f)

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

    -2.4= -0.3t

multiply both sides by -0.3 to get 8=t. That's the # of 20 cent coins.

Answer:

x<28

Step-by-step explanation:

Isolate x

First, subtract 4 on both sides

x/2+<14

Then, multiply both sides by 2 to get x alone

x<28

On a number line, there would be an open circle (not filled in dot) on 28, and the entire left side of the number line would be filled in

Answer:

x<28

Step-by-step explanation:

x/2+4<18

multiply the 2 on both sides to get rid of it

x+8<36

isolate the x

x<28

on the number line, it's an open circle with the arrow pointing to the left.

The three methods in solving for the solutions of the systems of linear equations in two variables are:

1) graphing.

2) substitution method.

3) elimination method.

In this question we need to mention the three methods in solving for the solutions of the systems of linear equations in two variables.

We know that a linear equation in two variables is of  the form of ax + by + c = 0.

There are three ways to solve systems of linear equations in two variables: graphing, substitution method and elimination method

In graphing method, we graph both the linear equations. If the two lines intersect, then the point of intersection is the solution to the system. If the two lines are parallel, then there is no solution. And if the two lines lie on top of each other, then they have an infinite number of solutions.

In substitution method, the value of one variable from one equation is substituted in the other equation.

And in elimination method one of the variables in given system of linear equations is eliminated using the addition or subtraction methods.

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Answer:

This forum is not set up for plotting.  But you can find the distance from F to A using the distance formula.

d = √[(-2 - 3)2 + (1 - 1)2] = √25 = 5 units

Step-by-step explanation:

Length of \(BC\) is \(5\) units.

Coordinates refer to a pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.

Points \(A\left ( -4,4 \right ),B\left ( -1,1 \right ),C\left ( -6,1 \right )\) are plotted as shown in the attached figure.

Length of \(BC=5\) units

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Answer:

4(11+7) - 9.8

4 (18) - 9.8

72 - 9.8

= 62.2

Answer:

2\(\sqrt{8}\)

Step-by-step explanation:

According to Euclidian theorem :

h^2 = 4*8

h^2 = 32 find the root for both sides

h = 2\(\sqrt{8}\)

Answer:

20

Step-by-step explanation:

To determine the number of 9s between 1 and 100, we can consider the numbers from 1 to 99 since we want to exclude 100.

In the range from 1 to 99, we can observe the following patterns:

There is one 9 in each of the units' places (9, 19, 29, ..., 89, 99), giving us 10 occurrences.

There is one 9 in each of the tens' places (90, 91, 92, ..., 99), giving us 10 occurrences.

Therefore, there are a total of 10 + 10 = 20 occurrences of the digit 9 between 1 and 100.

The probability that a child is not allergic to nuts is 0.986, or 98.6%.

The probability that a child is not allergic to nuts can be calculated by subtracting the probability of being allergic to nuts from 1.

Given the probabilities of a child being allergic to nuts, dairy, and gluten, we are interested in finding the probability that a child is not allergic to nuts.

The probability of being allergic to nuts is given as 0.014.

To find the probability that a child is not allergic to nuts, we subtract this value from 1.

P(Not allergic to nuts) = 1 - P(Allergic to nuts) = 1 - 0.014 = 0.986

Therefore, the probability that a child is not allergic to nuts is 0.986, or 98.6%.

This calculation is based on the assumption that being allergic to nuts and being allergic to other foods are independent events.

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A typical water bed weighs around 1797.6 pounds. It depends upon the volume of water bed and the unit conversion of the weight and volume units.

A typical water bed holds 28 cubic feet of water.

The volume of the typical water bed and its weight can be calculated with the help of the quantities:

Identify the volume of water held by the water bed, which is 28 cubic feet.
Multiply the volume by the weight of 1 cubic foot of water, which is 64.2 pounds.
Perform the calculation: 28 cubic feet × 64.2 pounds per cubic foot = 1797.6 pounds.

Therefore, a typical water bed weighs approximately 1797.6 pounds when filled with water.

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Answer:

60%

Step-by-step explanation:

5÷3=0.6

0.6×100=60

Turn it into a percent.

60%

Could I please have BRAINLIEST?

Answer:

60%

Step-by-step explanation:

Answer:

Principal Square Root. The unique nonnegative square root of a nonnegative real number. For example, the principal square root of 9 is 3, although both and 3 are square roots of 9. The concept of principal square root cannot be extended to real negative numbers since the two square roots of a negative number cannot be distinguished until one of the two is defined as the imaginary unit, at which point and can then be distinguished.

Step-by-step explanation:

Answer: 4.7 gallons

Step-by-step explanation:

The range is the difference in the highest number and the smallest number, so 2.8 - -1.9 = 4.7