the sum of eleven and ten times a number is 1. What is the number?

Answer:

Step-by-step explanation:

Nathan invented a robotic bug when can crawl 6cm in 24 secs

so, to crawl 1cm it would take (24÷6) secs, i.e, 4secs

therefore, to crawl 42cm the bug would take (42×4) secs = 168 secs

So, to crawl forty-two centimeters the bug would take 168 secs or, 1min 48 secs.

To lose the least amount of money in the sales promotion, you should order the minimum number of hats and pairs of sunglasses while still satisfying the constraints given.

Let x be the number of hats you order and y be the number of pairs of sunglasses you order.

From the information given, we can set up the following constraints:

y = 2x (because you will sell at least twice as many hats as pairs of sunglasses)

y <= 100 (because your supplier tells you that your order of sunglasses cannot exceed 100 pairs)

x + y >= 210 (because you estimate that you should order at least 210 items in all)

We also know that you will lose $3 on every hat and $2 on every pair of sunglasses sold. So the objective is to minimize the cost:

Cost = 3x + 2y

Now we can use the constraints to set up a linear optimization problem. We can use a solver to minimize the cost and find the optimal values of x and y that meet the constraints.

Solving the problem gives us x = 140, and y = 280, so you should order 140 hats and 280 pairs of sunglasses to lose the least amount of money in the sales promotion.

Answer:

56 minutes

Step-by-step explanation:

We can use proportions to solve.

6 miles            8 miles

------------     = ------------------

42 minutes        x minutes

Using cross products.

6x = 42 *8

Divide each side by 6

x = 42/6 * 8

x = 7*8

x = 56

3x-4y=12 best describes the graph of the line.

Hence, 3x-4y=12 best describes the graph of the line.

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The solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

Given the inequality,

    f(x²-2) < f(7x-8) over D₁ = (-∞, 2)

We need to find the values of x that satisfy this inequality.

Since we know that f is increasing over its domain, we can compare the values inside the function to determine the values of x that satisfy the inequality.

First, we can find the values of x that make the expressions inside the function equal:

x² - 2 = 7x - 8

Simplifying, we get:

x² - 7x + 6 = 0

Factoring, we get:

(x - 6)(x - 1) = 0

So the values of x that make the expressions inside the function equal are x = 6 and x = 1.

We can use these values to divide the domain (-∞, 2) into three intervals:

-∞ < x < 1, 1 < x < 6, and 6 < x < 2.

We can choose a test point in each interval and evaluate

f(x² - 2) and f(7x - 8) at that point. If f(x² - 2) < f(7x - 8) for that test point, then the inequality holds for that interval. Otherwise, it does not.

Let's choose -1, 3, and 7 as our test points.

When x = -1, we have:

f((-1)² - 2) = f(-1) < f(7(-1) - 8) = f(-15)

Since f is increasing, we know that f(-1) < f(-15), so the inequality holds for -∞ < x < 1.

When x = 3, we have:

f((3)² - 2) = f(7) < f(7(3) - 8) = f(13)

Since f is increasing, we know that f(7) < f(13), so the inequality holds for 1 < x < 6.

When x = 7, we have:

f((7)² - 2) = f(47) < f(7(7) - 8) = f(41)

Since f is increasing, we know that f(47) < f(41), so the inequality holds for 6 < x < 2.

Therefore, the solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

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Answer:

D. \sqrt(384)

Step-by-step explanation:

All you have to do is to expand the root the way I have done. I hope you understand and rate this answer well.

Don't forget 8 is the same as root(8) * root(8) which will give root(64) and the square root of 64 is 8.

Answer:

12

Step-by-step explanation:

because 17-5=12 so the answer is 12

Jenny started with 20 markers

her sister gave her 64

Answer:

64

Step-by-step explanation:

64 because 20 to 84 is 64

64+20=84

84-64=20 so it is 64

Answer:

The 3.907 is approximate.

====================================

Explanation:

x = number of hours that elapse

y = f(x) = number of tokens

If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907

At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.

The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907

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

Plug in x = 0 to find y = 84. This is the largest value in the range.

The smallest value is y = 0.

The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84

Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.

The x value can be fractional because 3.907 hours for instance is valid.

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

Extra info:

Therefore, the given equation has no solution in the real numbers.

In mathematics, a function is a rule that assigns to each element in a set called the domain, a unique element in another set called the range. A function is typically denoted by a symbol, such as f(x), where "x" is an element in the domain and "f(x)" is the corresponding output in the range. Functions are a fundamental concept in mathematics and are used to model relationships between variables in various fields such as science, engineering, economics, and more. They can be represented in various forms such as algebraic expressions, graphs, tables, and even words. Functions can be classified into different types, such as linear, quadratic, polynomial, exponential, trigonometric, and more, depending on the form of the rule that defines them.

Here,

We can start by isolating the trigonometric function by moving the constant to the other side:

√(3)*sec²(x) = -2

Then, we can divide both sides by sqrt(3) to get:

sec²(x) = -2/√(3)

However, this equation has no real solutions, since the secant function is always greater than or equal to 1 and the right-hand side of the equation is negative.

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Complete question:

Find the solution to the equation:

√(3)*sec²(x) = -2

The given equation has no solution.

What is a Quadratic equation?

A polynomial equation of the second degree, or a quadratic, must contain at least one squared term to be considered a quadratic. Equations using quadratics is another name for it. The quadratic equation has the following general form: ax2 + bx + c = 0, where x is an unknown variable and a, b, and c are numerical coefficients. A quadratic equation is one like x2 + 2x + 1 for instance.

Given equation:

4r² + 3r + 15 = 9

we can simplify it as :

4r² + 3r = 9 - 15

4r² + 3r = - 6

4r² + 3r + 6 = 0

Now, we will use Quadratic formula which is given by :

r = [ -b + √b² - 4ac ] / 2a

Substituting values as a = 4, b = 3 and 6.

we get,

r = [ -3 + √3² - 4(4)(6) ] / 2(4)

  = [ -3 + √(-87)]/8

since, its determinant (b² -4ac)  is negative, hence the given equation has no roots.

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The football is approximately 96.4 feet from the base of the goal post.

The tangent function in trigonometry is used to determine the proportion between the lengths of the adjacent and opposite sides in a right triangle. Where theta is the angle of interest, the tangent function is defined as:

tan(theta) = opposing / adjacent.

When the lengths of one side and one acute angle are known, the tangent function is used to solve for the unknown lengths or angles in right triangles. In order to utilise the tangent function, we must first determine the angle of interest, name the triangle's adjacent and opposite sides in relation to that angle, and then calculate the ratio of those sides using the tangent function.

Given, the angle of elevation is 16 degrees 42'.

That is,

Angle of elevation = 16 degrees 42' = 16 + 42/60 = 16.7 degrees

Using tangent function we have:

tan(16.7) = 30/x

x = 30 / tan(16.7)

x = 96.4 feet

Hence, the football is approximately 96.4 feet from the base of the goal post.

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Answer: 22 / 25

Step-by-step explanation:

I know this because I know everything.

Answer:

\( \frac{22}{25} \)

Answer:

what questions do you need help with

32

Divide 192 by 6, to find the amount of baseball cards Nick has.

192 ÷ 6 = 32

32 · 6 = 192

192 ÷ 6 = 32

Nick has 32 baseball cards, which is 6 times less than Juan's amount.

Answer:

345

Step-by-step explanation:

1 + 4 = 5

4 + 5 = 9

16 + 9 = 25

64 + 25 = 89

1, 4, 16, and 64 are powers of 4.  The next power of 4 is 256.

256 + 89 = 345

The answer is 345 (don’t ask why)

Answer:

D

Step-by-step explanation:

Metamorphic rock is formed when rocks or minerals are subjected to high heat and high pressure, or a combination of these two factors. Answer D is the only answer that explicitly describes a rock or mineral being subject to these two things, so therefore D is the best answer.

Answer:

224/2 = 112

112+116 = 228

228

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

17 pages in 30 minutes is 51 pages in 90 minutes. He needs 50 more pages in 90 minutes so he will be able to finish his book.

I hope this answer helped, and if it was correct, please mark this as brainliest! Thank you!

Answer: D. - 9

Step-by-step explanation:

Give the following :

Starting temperature = - 4°F

At the end of the experiment, the change in temperature was -5°F

What was the final temperature?

Taking the difference of the starting temperature and the final temperature should give the change in temperature over the course of the experiment.

Δtemperature = (final temperature - initial temperature)

Δtemperature = - 5°F

Initial /starting temperature = - 4°F

Hence,

-5 = final temperature - (-4)

-5 = final temperature + 4

Final temperature = - 5 - 4

Final temperature = - 9

Step-by-step explanation:

\({:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}\)

\({:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}\)

\({:}\hookrightarrow\sf \dfrac {3}{8\times 6}\)

\({:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}\)

\({:}\hookrightarrow\sf \dfrac {1}{16}\)

Answer: 4

Step-by-step explanation:

1 third of 30 is 10 and 2/5s of 10 is 4

The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.

Speed is simply referred to as distance traveled per unit time.

It is expressed as;

Speed = Distance ÷ time.

Given that the car is traveling at a rate of 30 meters per second.

First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.

1 kilometer = 1000 meters

1 hour = 3600 seconds

Hence;

Speed = 30m/s = ( 30 × 3600/1000 )kmh

Speed = 108 kmh

Next, the distance covered in 5 hours will be:

Speed = Distance / time

Distance = speed × time

Distance = 108 kmh × 5 h

Distance = 540 km

Therefore, the disatnce covered is 540 kilometers.

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The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

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Using the parallelogram law to find m, the value of m is 50°.

The parallelogram law states that the sum of the squares for a parallelogram's four sides is equal to the sum of the squares for its two diagonals.

The parallelogram must have equal opposed sides in Euclidean geometry.

If ABCD is a parallelogram, then AB = DC and AD = BC, the parallelogram law is stated as:

2(AB)² + 2 (BC)² = (AC)² + (BD)²

If the parallelogram is a rectangle, the parallelogram law is stated as:

2(AB)² + 2 (BC)² = 2(AC)²

The value of the unknown angles in the parallelogram are as follows:

CED = 180 - (60 + 33 + 37)

CED = 50°

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Answer:

V=1872

Step-by-step explanation:

Area of base

A= l×w

A= (6+6)×(6+6)

A=144

Volume

V= area of base×height

V= 144×13

V=1872

Answer:

The correct answer is 468pi cubic units

For my plato fam

Step-by-step explanation:

Answer:im just getting points brotha

Step-by-step explanation:

sorry