A bag contains fewer than 90 lollipops. It is possible to evenly divide all of the lollipops among 2, or 6, or 7 children. How many lollipops are in the bag? List all possible answers.

Answer:

Step-by-step explanation:

If sin(x) = 0.9135

x = \(\text{sin}^{-1}(0.9135)\)

By using the calculator value of x will be,

x = 66°

Similarly, tan(x) = 0.4245

x = \(\text{tan}^{-1}(0.4245)\)

By using the calculator value of x will be,

x = 23°

Answer:

Make the -4 exponent in the denominator positive.

Answer: 53.2$

Step-by-step explanation:

5/100 × 56 = 2.8

So, 56.00 $ - 2.8$ = 53.2$

Answer:

8

Step-by-step explanation:

where the 2 lines cross would be the point at which they are the same. It appears as if their point of intersection is at 8 rentals for $14

Answer:

5 inches

Step-by-step explanation:

120f - x

12f - 0,5i

..

1f - 12i

1440i - x

144i - 0,5i

x=0,5×1440/144

x = 5

The equation of a direct proportion is A. y=8x.

It should be noted that a direct proportion is also a direct variation. It is one when the relation between the two quantities have a value that's constant.

In this case, it's illustrated as y = 8x.

Let's say x = 1 y will be = (8 × 1) = 8

When x = 2, y = (8 × 2) = 16

In this case, it should be noted that the constant of 8 is illustrated.

In conclusion, the correct option is A.

Learn more about proportion on:

brainly.com/question/13742765

#SPJ1

The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

To know more about Expression .

https://brainly.com/question/1859113

#SPJ11

The interest earned after 3 months is $75

What is simple interest?

The simple interest on a deposit is the principal deposited multiplied by the interest and the time the deposit lasted

I=PRT

I=interest=unknown

P=principal=$6000

R=interest rate=5%

T= 3 months=0.25 year

I=$6000*5%*0.25

I=$75

Find out more about simple interest on:https://brainly.com/question/1115815

#SPJ1

Answer:

75 dollars

Step-by-step explanation:

i got it right

Answer:

\(\displaystyle \frac{2(x + 4)}{3}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

\(\displaystyle \frac{4x + 16}{6}\)

Step 2: Simplify

Answer:

area of a triangle is 1/2bc sin Thither

1/2 18×44sin 42

396sin42

264.98

The area of the triangle having the given measurements is 264.96 square feet.

Given that, A = 42º, b = 18 feet, c = 44 feet.

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane

Area of a triangle = 1/2 ab sin(C)

Here, area of a triangle = 1/2 ×18×44×sin42°

= 1/2 ×18×44×0.6691

= 9×44×0.6691

= 264.96 square feet

Therefore, the area of the triangle having the given measurements is 264.96 square feet.

To learn more about the area of a triangle visit:

brainly.com/question/27701864.

#SPJ6

Answer: 36/12 = 3

Step-by-step explanation:

Answer:

The expression should be something like: 36/12

Answer:

27!

Step-by-step explanation:

Heya! Considering that the question has already given you the values of x and y, all you are left to do is plug them back into the equation. The value of 6 multiplied by x- 5- gets you to 30. Since y is equal to 1, 3 multiplied by 1 gets you 3. 30-3 gets you to 27, so that is your answer. I hope this helped! (Please mark as branliest if I did happen to get this right. <3)

Answer:

The answer would be 179.4 km^2

Step-by-step explanation:

To find the area of a trapezoid, the formula is: A= a+b/2 h

I just took a screenshot of the work to make it easier

Hope it helps

The 99% confidence interval for the population proportion p is (0.776, 0.824).

To find the 99% confidence interval for a proportion, we can use the formula:

CI = p^ ± z*(SE)

where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.

For a 99% confidence interval, the critical value z is 2.576.

Substituting the given values into the formula, we have:

CI = 0.80 ± 2.576*(0.03/√200)

Simplifying this expression, we have:

CI = 0.80 ± 0.024

This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.

To learn more about confidence interval here:

https://brainly.com/question/24131141

#SPJ1

Answer:

63, 69, 75, 81

Step-by-step explanation:

to find the first 4 terms substitute n = 1, 2, 3, 4 into the explicit rule.

a₁ = 63 + (1 - 1) × 6 = 63 + 0 × 6 = 63 + 0 = 63

a₂ = 63 + (2 - 1) × 6 = 63 + 1 × 6 = 63 + 6 = 69

a₃ = 63 + (3 - 1) × 6 = 63 + 2 × 6 = 63 + 12 = 75

a₄ = 63 + (4 - 1) × 6 = 63 + 3 × 6 = 63 + 18 = 81

the first four terms are 63, 69, 75, 81

Formula for the concentration after n steps is \(C(n) = C(0) * (0.86)^n\) and

after 11 steps, the mixture contains less than 9% vinegar.

What is concentration?

Concentration in science refers to the amount of a particular substance (the solute) that is dissolved in a given amount of a solution. It is typically expressed in units of moles per liter (M or mol/L) or as a percentage or fraction of the total solution.

a. Let C(n) be the concentration of vinegar after n steps. At each step, we remove 0.14 L of the mixture, which contains C(n) liters of vinegar. So we are left with (1 - C(n)) liters of water. We then add back 0.14 L of water, giving us a total volume of 1 liter. Therefore, the concentration after one step is:

\(C(1) = C(0) * \frac{1 - 0.14}{1}\)

where C(0) is the initial concentration of vinegar, which is 1 liter per liter or 100%. After two steps, we repeat the process:

C(2) = C(1) * \(\frac{1 - 0.14}{1}\)

Substituting the formula for C(1), we get:

C(2) = C(0) * \((\frac{1 - 0.14}{1}) * (\frac{1 - 0.14}{1})\)

or, more generally:

\(C(n) = C(0) * (0.86)^n\)

b. We want to find the smallest integer n such that C(n) < 0.09 or 9%. Substituting the formula from part (a), we get:

\(C(0) * (0.86)^n < 0.09\)

Dividing both sides by C(0), we get:

\((0.86)^n < 0.09\)

Taking the natural logarithm of both sides, we get:

n * ln(0.86) < ln(0.09)

Dividing both sides by ln(0.86), we get:

n > ln(0.09) / ln(0.86)

Using a calculator, we get:

n > 10.7

Since n must be an integer, the smallest possible value of n is 11. Therefore, after 11 steps, the mixture contains less than 9% vinegar.

To learn more about concentration visit the link:

https://brainly.com/question/17206790

#SPJ1

Answer:

x=63/8

Step-by-step explanation:

9/8=x/7

or, 9*7=x*8

or, 63=8x

x=63/8

Answer: 5/2187

Step-by-step explanation: The equation for geometric sequence is (a (subroot) n = a (subroot) 1) x ratio^(n-1).

The function has a relative minimum at (-1.278, -0.509) and a relative maximum at (1.278, 2.509).

How to find  x-intercepts?

To find the x-intercepts, we set y = 0 and solve for x:

(x⁴/4) - x² + 1 = 0

This is a fourth-degree polynomial equation, which is difficult to solve analytically. However, we can use a graphing calculator or software to find the approximate x-intercepts, which are approximately -1.278 and 1.278.

To find the y-intercept, we set x = 0:

y = (0/4) - 0² + 1 = 1

So the y-intercept is (0, 1).

To find the vertical asymptotes, we set the denominator of any fraction in the function equal to zero. There are no denominators in this function, so there are no vertical asymptotes.

To find the horizontal asymptote, we look at the end behavior of the function as x approaches positive or negative infinity. The term x^4 grows faster than x^2, so as x approaches positive or negative infinity, the function grows without bound. Therefore, there is no horizontal asymptote.

To find the critical points, we take the derivative of the function and set it equal to zero:

y' = x³- 2x

x(x² - 2) = 0

x = 0 or x = sqrt(2) or x = -sqrt(2)

These are the critical points.

To determine the intervals where the function is increasing and decreasing, we can use a sign chart or the first derivative test. The first derivative test states that if the derivative of a function is positive on an interval, then the function is increasing on that interval. If the derivative is negative on an interval, then the function is decreasing on that interval. If the derivative is zero at a point, then that point is a critical point, and the function may have a relative maximum or minimum there.

Using the critical points, we can divide the real number line into four intervals: (-infinity, -sqrt(2)), (-sqrt(2), 0), (0, sqrt(2)), and (sqrt(2), infinity).

We can evaluate the sign of the derivative on each interval to determine whether the function is increasing or decreasing:

Interval (-infinity, -sqrt(2)):

Choose a test point in this interval, say x = -3. Substituting into y', we get y'(-3) = (-3)³ - 2(-3) = -15, which is negative. Therefore, the function is decreasing on this interval.

Interval (-sqrt(2), 0):

Choose a test point in this interval, say x = -1. Substituting into y', we get y'(-1) = (-1)³ - 2(-1) = 3, which is positive. Therefore, the function is increasing on this interval.

Interval (0, sqrt(2)):

Choose a test point in this interval, say x = 1. Substituting into y', we get y'(1) = (1)³ - 2(1) = -1, which is negative. Therefore, the function is decreasing on this interval.

Interval (sqrt(2), infinity):

Choose a test point in this interval, say x = 3. Substituting into y', we get y'(3) = (3)³ - 2(3) = 25, which is positive. Therefore, the function is increasing on this interval.

Therefore, the function is decreasing on the intervals (-infinity, -sqrt(2)) and (0, sqrt(2)), and increasing on the intervals (-sqrt(2), 0) and (sqrt(2), infinity).

To find the inflection points, we take the second derivative of the function and set it equal to zero:

y'' = 3x² - 2

3x² - 2 = 0

x² = 2/3

x = sqrt(2/3) or x = -sqrt(2/3)

These are the inflection points.

To determine the intervals where the function is concave up and concave down, we can use a sign chart or the second derivative test.

Using the inflection points, we can divide the real number line into three intervals: (-infinity, -sqrt(2/3)), (-sqrt(2/3), sqrt(2/3)), and (sqrt(2/3), infinity).

We can evaluate the sign of the second derivative on each interval to determine whether the function is concave up or concave down:

Interval (-infinity, -sqrt(2/3)):

Choose a test point in this interval, say x = -1. Substituting into y'', we get y''(-1) = 3(-1)² - 2 = 1, which is positive. Therefore, the function is concave up on this interval.

Interval (-sqrt(2/3), sqrt(2/3)):

Choose a test point in this interval, say x = 0. Substituting into y'', we get y''(0) = 3(0)² - 2 = -2, which is negative. Therefore, the function is concave down on this interval.

Interval (sqrt(2/3), infinity):

Choose a test point in this interval, say x = 1. Substituting into y'', we get y''(1) = 3(1)²- 2 = 1, which is positive. Therefore, the function is concave up on this interval.

Therefore, the function is concave up on the interval (-infinity, -sqrt(2/3)) and (sqrt(2/3), infinity), and concave down on the interval (-sqrt(2/3), sqrt(2/3)).

To find the relative extrema, we can evaluate the function at the critical points and the endpoints of the intervals:

y(-sqrt(2)) ≈ 2.828, y(0) = 1, y(sqrt(2)) ≈ 2.828, y(-1.278) ≈ -0.509, y(1.278) ≈ 2.509

Therefore, the function has a relative minimum at (-1.278, -0.509) and a relative maximum at (1.278, 2.509).

To know more about equations visit :-

https://brainly.com/question/22688504

#SPJ1

Answer:

9m  +3

Step-by-step explanation:

6m-4+3m+7

Combine like terms

6m+3m    -4+7

9m  +3

Answer:

−3⋅(5m+7)

Step-by-step explanation:

The value of x in the statement negative 3 less than 4.9 times a number x is the same as 12.8 is 2.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given a statement negative 3 less than 4.9 times a number, x, is the same as 12.8 this can be numerically expressed as,

4.9x - (- 3) = 12.8.

4.9x + 3 = 12.8

4.9x = 12.8 - 3.

4.9x = 9.8.

x = 9.8/4.9.

x = 2.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ1

Since the square has a diagonal length 9 m, the side length of the square is equal to 636 centimeters.

In Mathematics and Geometry, the area of a square can be calculated by using this mathematical equation (formula);

A = x²

Where:

In Mathematics and Geometry, the side length of a square can be calculated by using this mathematical equation (formula);

Diagonal, d = √2x

Solving for x, we have:

x = d/√2

x = 9/√2

x = 6.3640 meters.

Conversion:

1 meter = 100 centimeters

6.3640 meters = 636.4 ≈ 636 centimeters.

Read more on area of square here: https://brainly.com/question/8902873

#SPJ1

Note: Here tax rate is note given. Consider the tax is not applied.

Given:

Lin’s Father is paying for $50 meal.

Discount = 15%

To find:

The price of a discounted meal before the tax.

Solution:

Let x be the price of a discounted meal before the tax.

According to the question,

Price of meal after discount = Price of meal before discount - Discount

\(50=x-\dfrac{15}{100}\times x\)

\(50=x-0.15x\)

\(50=0.85x\)

Divide both sides by 0.85.

\(\dfrac{50}{0.85}=x\)

\(58.823529=x\)

\(x\approx 58.824\)

Therefore, the price of a discounted meal before the tax is $58.824.

The probability that a point chosen at random lies on the shaded region is given as follows:

4/7.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The area of the shaded region in this problem is given as follows:

4² = 16.

The total area of the figure is given as follows:

16 + 2 x 1/2 x 3 x 4 = 28.

Hence the probability is given as follows:

16/28 = 4/7.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Answer:

x = 5°

y = 4°

Step-by-step explanation:

21x + 75 = 180

21x = 105

x = 5°

25y + 5 + 75 = 180

25y = 100

y = 4

The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

More can be learned about rational functions at https://brainly.com/question/1851758

#SPJ1

Answer:

185 ove r198

Step-by-step explanation:

Answer:

56 yewedbh

Step-by-step explanation:

33444444567777

Answer: 52.35 − 1.58 = 50.77

Step-by-step explanation:

Answer:

1/15

Step-by-step explanation:

decimal 0.06

if correct plz mark as brainliest

thank you

19NBoli

Answer:

that would half to equal 0.066

Step-by-step explanation: