Solve the trigonometric equation for all values 0 < x ≤ 2.
sec 4x – 1=0

[tex]\large\boxed {Formula:Profit\% = \frac{(SP - CP)}{CP} \times 100}[/tex]

First, we'll have to deduct the cost price (350) from the selling price (400).

[tex]400 - 350[/tex]

[tex] = 50[/tex]

Now, we'll have to divide the deducted amount (50) by the cost price (350) and multiply by 100.

[tex] \frac{50}{350} \times 100[/tex]

[tex] = 14.28571429 \: \%[/tex]

= 14.3%

Hence, the profit is 14.3%

400-350/350*100

=14.3%

Answer:

a + (-c),  b,  c - (-b)

Step-by-step explanation:

First, identify the values of each point.

a = -1

b = 2

c = 3

Now, we can solve for the problems listed below the number line. We already know b = 2, so we don't need to solve for that one.

c - (-b) = 3 - (-2)

3 - (-2) = 3 + 2

= 5

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

a + (-c) = -1 + (-3)

-1 + (-3) = -1 -3

= -4

Now we can list the choices in order from least to greatest.

-4, 2, 5

aka; a + (-c),  b,  c - (-b)

hope this helps!

The claim of Tara is correct about who thinks the mean of the students is 6 hours in school each day.

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

The data which is collected from two random samples of a total 500 American students on the number of hours spend in school per day.

The mean of the data from sample A and B is,

[tex]\text{Mean}=\dfrac{4(70+80)+5(100+90)+6(125+120)+7(135+125)+8(70+85)}{70+80+100+90+125+120+135+125+70+85}\\\text{Mean}=\dfrac{6080}{1000}\\\text{Mean}=6.08[/tex]

The mean is approx 6 hours in school each day.

Now, Meg concludes that mean of students is 7 hours in school each day while Tara thinks the mean is 6 hours.

Thus, the claim of Tara is correct about who thinks the mean of the students is 6 hours in school each day.

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Answer:

The blank on the top is 0.31 because that is what you multiply 80 by

The blank in the middle is 24.8 because that's what you get when you multiply 80 by 0.31

The blank on the bottom is 0.31 because that is what you multiply 80 by

Step-by-step explanation:

Use proportions to solve

80/100 = x / 31

80*31 = 100x

2480 = 100x

x = 24.8

Answer:

The zeros of this function are x=(1,7)

Step-by-step explanation:

[tex]~~~~~~~~\text{Perimeter of square} = 144\\\\\implies 4 \times \text{Side} = 144\\\\\implies \text{Side} = \dfrac{144}4\\\\\implies \text{Side} = 36\\\\\text{Hence the length of each side is 36 units.}[/tex]

Answer:

36

Step-by-step explanation:

In a Square,

perimeter (p) = 144

Length of side (L) = ?

we know,

p=4*L

144 = 4 *L

L = 144/4

L = 36

Since, All side of Square are equal . so,the length of each side is 36.

Note : you hadn't give unit in your question .

The equation of a circle that contains the point (–2, 8) and has a center at (4, 0) is (x - 4)² + y² = 10²

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle contains the point (–2, 8) and has a center at (4, 0), hence:

[tex]radius=\sqrt{(0-8)^2+(4-(-2))^2}=10\ units[/tex]

The equation is:

(x - 4)² + (y - 0)² = 10²

(x - 4)² + y² = 10²

The equation of a circle that contains the point (–2, 8) and has a center at (4, 0) is (x - 4)² + y² = 10²

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Answer:

A

Step-by-step explanation:

the first one is the answer

The Z-score for Boris is 1.627, and the Z-score value for the Callie is 1.267, Boris scored higher relatively.

The Z test is a parametric procedure that is used on data that is dispersed in a normal fashion. For testing hypotheses, the z test can be used on one sample, two samples, or proportions. When the population variance is known, it analyzes if the means of two big groups are dissimilar.

We know the formula for the Z-test:

[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]

(a) For Boris:

[tex]\rm Z = \dfrac{67-60}{4.3}[/tex]

Z = 1.627

(b) For Callie:

[tex]\rm Z = \dfrac{119-110}{7.1}[/tex]

Z = 1.267

(c) Since the measures of two different data have been set to one measure and the value of the Z-score for Boris is higher relative to the Z-score value of Callie so Boris scored higher relatively.

Thus, the Z-score for Boris is 1.627, and the Z-score value for the Callie is 1.267, Boris scored higher relatively.

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Answer:

Perimeter = 90

Step-by-step explanation:

We're going to start with HI and go around the circle (and triangle, clockwise) see image. HI is 11. From H to G, then also has to be 11.

Subtract 26 - 11 to find LG. LG is 15.

If LG is 15, then LK is also 15. Subtract 34 - 15 to find JK.

JK is 19, so JI is also 19.

Two sides of the triangle are 34 and 26. The other side is 19+11=30.

Perimeter = 34+26+30

= 90

Answer:

It's b

Step-by-step explanation:

Answer:

1. 7x^6

2. 25x^4

3. -3x^-4

4. -4x^-3

5. 20x

Step-by-step explanation:

Multiply the power by the coefficient, answer is your new coefficient. then reduce the power by 1.

Considering the given equation for the time, it is found that the length of the pendulum in this problem is of 38.40 ft.

The equation is given as follows:

[tex]f(l) = 2\pi\frac{l}{32}[/tex]

In which l is the length of the pendulum.

In this problem, we have that [tex]f(l) = 2.4\pi[/tex], hence:

[tex]f(l) = 2\pi\frac{l}{32}[/tex]

[tex]2.4\pi = 2\pi\frac{l}{32}[/tex]

l = 32 x 1.2

l = 38.4 ft.

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Answer:

c

Step-by-step explanation:

just did it

Answer:

3 miles?

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation.

First I would use sine to find x's value. So ----> sin(30) = 7/x ----> x sin(30) = 7 ----> x = 7/sin(30) = 14.

You Can also find that x is equal to 14 by applying the 30, 60, 90, triangle rule. Becuase '7' opposes the 30 degree angle it is 1/2 the hypotenuse, if thats the case just multiply the 7 by 2 and you have the hypotenuse length.

up 1 over +2 if your cords are (-4,2) and (5,6)

Answer:

no the height of the tree doesnt determine the heiht of the box, thatd be a pretty large box if so

Answer:

0.904

EX ;  Each time the die is rolled, there are only two possible outcomes, either the result is a 2, or it is not. The result on a roll is independent of any other roll, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

- The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

- The die is rolled 7 times, hence .

One out of the 6 sides is a 2, hence

- Then:

0.905 = 90.5% probability of getting at most 2 twos.

Answer:

                Area = 67.5 m²

        Perimeter = 69 m

Step-by-step explanation:

   b = 27 m  & h = 5 m

     [tex]\sf \boxed{\text{\bf Area of triangle =$\dfrac{1}{2}bh$}}[/tex]

                                   [tex]\sf = \dfrac{1}{2}*27*5\\\\ =\dfrac{135}{2}\\\\= 67.5 \ m^2[/tex]

       Perimeter = sum of all sides

                         = 27 + 34 + 8

                         = 69 m

Answer:

254.5 ft^3

Step-by-step explanation:

The volume of a cylinder is the area of the base times its height. To find the area of the base, since it is a circle, you would use the area formula of a circle([tex]\pi r^{2}[/tex] where r is the radius). So, the circle would have an area of 81 π. Now, multiplying this by the height, you get the volume. Since the height is just 1, the volume would be 81π which is 254.469004941. This rounded to the nearest tenth is 254.5.

Answer:

10x+4b+3

Step-by-step explanation:

x+x+x+x+x+x+x+x+x+x+b+b+b+b+3

There are 10 x

4 b

and one number

10x+4b+3

Answer:

10x+4b+3

Step-by-step explanation:

x+x+x+x+x+x+x+x+x+x+b+b+b+b+3

So when we add them we get 10x and 4b, which makes the equation

=> 10x+4b+3

Answer:

9

Step-by-step explanation:

it is the odd one out, also because it is spread away from the other data points

Answer:

0

Step-by-step explanation:

4x²=36

=> 4x²+0x-36=0

if we look at the standard form

before the x is b I the standard form and in the question 0 is before the x because their isn't an x. this makes a= 4, b=0 and c=-36