\(55.89 \div 9\)
​

The toothpicks lennon should use in each row is 185.

Algebra is the study of abstract symbols, and logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction also. This approach is used to answer the given problem correctly and completely.

We are given that;

Total number of toothpicks= 3330

Number of rows= 18

Now,

To find the number of toothpicks in each row

=3330/18

=1665/9

=185

Therefore, by algebra the answer will be 185.

To know more about the Algebra visit;

brainly.com/question/953809

#SPJ9

Answer:

Step-by-step explanation:

The value of measurement of the closest to the height of the mountain cliff in feet is,

⇒ Mountain Height = 360 feet

Given that;

When Donetle stands at point R, he is 1000 feet from point S at the base of a cliff.

And, When he looks up at an angle of 20 degrees, he sees a friend at the top of the mountain cliff at point T

Hence, By graph we get;

⇒ tan 20° = Mountain Height / 1000

⇒ 0.36 = Mountain Height / 1000

⇒ 0.36 × 1000 = Mountain Height

⇒ Mountain Height = 360 feet

Thus, The value of measurement of the closest to the height of the mountain cliff in feet is,

⇒ Mountain Height = 360 feet

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Let h(x) = 0.

Set each factor to 0 and solve for x.

-(x - 5) = 0

Disregard the negative sign in front of the parentheses.

x - 5 = 0

x = 5 is a zero.

x - 13 = 0

x = 13 is another zero.

The smaller zero is 5.

The larger zero is 13.

Both numbers make the quadratic function become zero.

Use the FOIL METHOD to express h(x) in standard form.

h(x) = -(x - 5)*x - 13)

After using FOIL, we get -x^2 + 18x - 65.

The square x term has a -1 in front. This number is the value of a in the formula below. The coefficient of x is 18. This is our b value.

x = -b/2a

x = -(18)/2(-1)

x = 18/2

x = 9

This number 9 just found is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, replace every x you see in the quadratic equation above with 9 and simplify.

h(9) = -(9)^2 + 18(9) - 65

h(9) = 16

The vertex is located at the point (9, 16).

The smaller zero is 5 and larger zero is 13. The vertex is located at the point (9, 16).

Let h(x) = 0.

A. Now Set each factor to 0 and solve for x.

-(x - 5) = 0

Disregard the negative sign;

x - 5 = 0

x = 5 is a zero.

x - 13 = 0

x = 13 is another zero.

The smaller zero is 5 and larger zero is 13.

B. Both numbers make the quadratic function become zero.

So, Use the FOIL METHOD to express h(x) in standard form.

h(x) = -(x - 5)(x - 13)

we get -x^2 + 18x - 65.

x = -b/2a

x = -(18)/2(-1)

x = 18/2

x = 9

Hence, This number 9 just found is the x-coordinate of the vertex.

In order to find the y-coordinate of the vertex, replace every x you see in the quadratic equation above with 9 and simplify;

h(9) = -(9)^2 + 18(9) - 65

h(9) = 16

Hence, The vertex is located at the point (9, 16).

Learn more about the vertex form here:

https://brainly.com/question/27246152

#SPJ2

Answer:

x - 1

Step-by-step explanation:

3(3x + 3) - 2(5 + 4x)

9x + 9 -10 - 8x

x - 1

hope this helps!

Answer:

The answer is 33

Step-by-step explanation: Range is maximum number in the set minus the minimum number in the set of numbers.

Answer:

155.744

Step-by-step explanation:

If the probability of observing at least one car on a highway during any 20-minute time interval is 609/625, then the probability of observing at least one car during any 5-minute time interval is 609/2500

Given The probability of observing at least one car on a highway during any 20 minute time interval is 609/625.

We have to find the probability of observing at least one car during any 5 minute time interval.

Probability is the likeliness of happening an event among all the events possible. It is calculated as number/ total number. Its value lies between 0 and 1.

Probability during 20 minutes interval=609/625

Probability during 1 minute interval=609/625*20

=609/12500

Probability during 5 minute interval=(609/12500)*5

=609/2500

Hence the probability of observing at least one car during any 5 minute time interval is 609/2500.

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

#SPJ4

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

To know more about ideal gas law refer here:

https://brainly.com/question/30458409#

#SPJ11

In triangle ABC, we are given that angle C is a right angle, which means it measures 90°. We also know that angle B is 36°12′, and side c has a length of 0.6209 m. Our goal is to find the measures of angle A and the lengths of sides a and b.

Using the fact that the sum of angles in a triangle is 180°, we can find angle A:

A + B + C = 180°

A = 180° - B - C = 180° - 36°12′ - 90° = 53°48′

Now, we can apply the trigonometric ratios in the right-angled triangle ABC. The ratios are defined as follows:

Sine (sin) = Opposite / Hypotenuse

Cosine (cos) = Adjacent / Hypotenuse

Tangent (tan) = Opposite / Adjacent

Using the given values, we can determine the lengths of sides a and b:

Sine ratio:

sin B = a / c

Substituting the known values, we find:

sin 36°12′ = a / 0.6209

a = 0.6209 x sin 36°12′ = 0.3774 m

Cosine ratio:

cos B = b / c

Substituting the known values, we find:

cos 36°12′ = b / 0.6209

b = 0.6209 x cos 36°12′ = 0.5039 m

Tangent ratio:

tan B = a / b

Substituting the values of a and b, we find:

tan 36°12′ = 0.3774 / 0.5039 = 0.7499

Therefore, the lengths of sides a and b are approximately 0.3774 m and 0.5039 m, respectively. Angle A measures 53°48′, angle B measures 36°12′, and angle C is the right angle.

Learn more about right angled triangle:

https://brainly.com/question/64787

#SPJ11

X= 54

hope it helps

Answer:

$3.00

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first one is the right one

The slope of the line is given as -2/3.

We are also given the point (1, 1) in which this line passes through.

Before we can plot the graph of the line, we need to know the equation of the line first.

The values given are more than enough to find the equation of the line.

The formula used to get the equation of the line is given below:

Now, with this formula, let us find the equation of the line.

Thus, the equation of the line is:

Now, using a graph calculator, let us plot this equation.

After doing this, the following is the result:

2. a. The measure of angle x is equal to 100°.

b. The measure of the unknown variable angle x is 40°.

c. The measure of angle x is 14°.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

a. We know, The measure of an exterior angle of a triangle is the sum of two opposite interior angles.

Therefore, m∠x = 10° + 90°.

m∠x = 100°.

b. We know, Pairs of corresponding angles are equal.

Therefore, In the smaller triangle,

180° - 140° = 40°.

The corresponding angle is 110°.

Therefore, x = 180° - 110° - 40° = 30°.

c. We know pairs of corresponding angles are equal.

Therefore, 3x + 7° = x + 35°.

3x - x = 35° - 7°.

2x = 28°.

x = 14°.

learn more about transversals here :

https://brainly.com/question/18024908

#SPJ9

Answer:

The Answer is B

Step-by-step explanation:

Answer:

6,896

Step-by-step explanation:

The population at the end of 15 years can be calculated using exponential growth. The formula is P(t)=P₀(1+r)ᵗᵏ₊₁, where P₀ is the initial population, r is the growth rate, and t is the number of years. Plugging in the given values, you get P(15)=1667(1+0.11)¹⁵, which equals 6,896.

The secret number is 564 as we solve it by given question.

jack's favorite number is 836 so here we have number 836 and

jill subtracts a secret number from 836 and her answer is the smallest possible combination of all the digits from jack's favorite number

so here we have a number 836

let we subtract x from 836 to get a number which is smallest number by using 836

the number which we can make by using these 3 degits are

368, 386, 638, 683, 836, 863 anf from all these numbers the smallest number which can be using 836 is 368

as given in question we have 836 and we will subtract x and get 368 so

836 - x = 368

x = 836 - 368

x = 564

the secrets number is 564.

know more about smallest numbers click here;

https://brainly.com/question/24023290

#SPJ4

Answer:

4 Aces, 4 Kings, 4 Queens,  there are 4 in each card

Step-by-step explanation:

Tthe width of the strip that needs to be taken along the two sides to widen the roads while maintaining the desired remaining lot area of 844 square yards.

To determine the width of the strip that needs to be taken along the two sides of a corner lot to widen the roads while maintaining a remaining lot area of 844 square yards, we can solve an equation based on the given dimensions of the lot.

Let's assume the width of the strip is "w" yards. After taking the strip along the two sides, the dimensions of the remaining lot will be reduced by 2w yards. The length of the remaining lot will be (40 - 2w) yards and the width will be (25 - 2w) yards.

To find the area of the remaining lot, we multiply the length and width:

Area = (40 - 2w)(25 - 2w) = 844

Expanding and rearranging the equation, we get:

100w^2 - 130w + 384 = 0

We can solve this quadratic equation to find the value of "w" using factoring, completing the square, or the quadratic formula. After finding the value of "w", we can determine the width of the strip that needs to be taken along the two sides to widen the roads while maintaining the desired remaining lot area of 844 square yards.

to learn more about quadratic equation click here:

brainly.com/question/2279619

#SPJ11

If a function f(x) is differentiable on an interval [a, b] and f(a) is less than f(b), it can be shown that there exists at least one point c in the interval (a, b) where the derivative f'(c) is negative.

Since f(x) is differentiable on the closed interval [a, b], it is also continuous on this interval by the differentiability implies continuity theorem. The function values f(a) and f(b) indicate that the function starts at a lower value and ends at a higher value on this interval.

By the Extreme Value Theorem, f(x) must attain its maximum value and minimum value on the interval [a, b]. Let's assume that f(x) achieves its maximum value at some point d in the interval (a, b).

Since f(a) is less than f(d), the function must decrease from a to d to reach its maximum value. This means that the slope of the tangent line at some point c between a and d (exclusive) is negative, indicating a negative derivative f'(c). Therefore, ′ is negative at some point between a and b, as required to be shown.

Similarly, if f(x) achieves its minimum value at some point e in the interval (a, b), the function must increase from a to e. This implies that there exists a point c between a and e (exclusive) where the derivative f'(c) is positive. However, in this case, we are interested in showing that the derivative is negative, so we focus on the case where the maximum value occurs.

Learn more about tangent here: https://brainly.com/question/10053881

#SPJ11

We operate as follows:

**First problem:

*We divide the total number of messes by the value of the sum of the ratio.

391 / (14 + 9) = 17

After that, we multiply this value times the ration for the Gooey messes and we will obtain the number of Gooey messes present in the 391 messes:

17 * 14 = 238

So, we can expect 238 Gooey messes.

**Second problem:

*We have 174 purple yogi berries; we will have to calculate the number of berries that represent the 76% if we want to know how many are not purple. We also have the following ration 24:76 here there are 24 purple yogi berries to 76, not purple yogi berries, now we calculate:

So, we would expect 551, not purple yogi berries.

The period represents how long it takes go from one max to the next max (ie peak to peak). It also represents going from min to min.

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

Explanation:

It reaches the max at 10 seconds, and then it reaches the min at 55 seconds. This is a timespan of 55-10 = 45 seconds. This is exactly half the period. It doubles to 2*45 = 90 seconds. This is the time period between any two points in time when you're at the max height (from one max to the next adjacent max).

So you're at the max height at 10 seconds, then min at 55 seconds, then the max again at 100 seconds. Note how 100-10 = 90.

The period of any trig function is basically telling us when the function or cycle repeats itself. Once we reach the peak again, the ride repeats itself from before.

-----------

Notes:

A population has a mean μ=135 and a standard deviation Ï=28.

The mean of the sampling distribution of sample means is equal to the population mean, that is 135.

The standard deviation of the sampling distribution of sample means can be calculated by using the formula

SE = Ï /\(\sqrt{n}\)

Where Ï is the population standard deviation and n is the sample size.

By putting the given values we get

SE = 28 / \(\sqrt{57}\) = 3.7

Hence, the mean of the sampling distribution of sample means is 135, and the standard deviation is 3.7.

To know more about standard deviation here

https://brainly.com/question/28075377
#SPJ4

Answer:

and i

Step-by-step explanation:

oop.

Answer:

numerator is a binomial

Step-by-step explanation:

Answer:

(14, - 3 )

Step-by-step explanation:

Under the translation < 6, 0 >

Add 6 to the x- coordinate and 0 to the y- coordinate, that is

B(8, - 3 ) → B'(8 + 6, - 3 + 0 ) → B'(14, - 3 )

The values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

We know that the amplitude, A = 2 + T; the angular velocity, ω = 4 + U rad/s; and time, t = 1s. Here, the value of T = 1 and the value of U = 4 (as mentioned in the question).

Harmonic motion is a motion that repeats itself after a certain period of time.

Harmonic motion is caused by the restoring force that is proportional to the displacement from equilibrium.

The three types of harmonic motions are as follows: Free harmonic motion: When an object is set to oscillate, and there is no external force acting on it, the motion is known as free harmonic motion.

Damped harmonic motion: When an external force is acting on a system, and that force opposes the system's motion, it is called damped harmonic motion.

Forced harmonic motion: When an external periodic force is applied to a system, it is known as forced harmonic motion.Vectorial formVibrations of harmonic motion can be represented in a vectorial form.

A simple harmonic motion is a projection of uniform circular motion in a straight line.

The displacement, velocity, and acceleration of a particle in simple harmonic motion are all vector quantities, and their magnitudes and directions can be determined using a coordinate system.

Let's now calculate the values of displacement, velocity, and acceleration.

Displacement, s = A sin (ωt)

Here, A = 2 + 1 = 3 (since T = 1)and, ω = 4 + 4 = 8 (since U = 4)

So, s = 3 sin (8 x 1) = 2.68 m (approx)

Velocity, v = Aω cos(ωt)

Here, v = 3 x 8 cos (8 x 1) = 2.24 m/s (approx)

Acceleration, a = -Aω2 sin(ωt)

Here, a = -3 x 82 sin(8 x 1) = -18.07 m/s2 (approx)

Thus, the values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

Learn more about acceleration

brainly.com/question/12550364

#SPJ11

Tiffany didn't deposit any more money and didn't withdraw any,

her balance is $1,413.82.

Compound interest is computed as interest on the principle of an account plus any accrued interest.

Compound interest can be calculated using the following formula:

x = P(1 + r/n\()^{nt}\)

,where x = compound interest

P = principal (the initial deposit or loan amount)

r = annual interest rate

n = the number of compounding periods per unit of time

t = the number of time units the money is invested or borrowed for

Given:

Tiffany makes some extra money selling vinyl's to teachers.

She deposited the $1,245 extra money into an account that earned 3.7% interest that was compounded annually.

First, convert R as a percent to r as a decimal

r = R/100

r = 3.7/100

r = 0.037 rate per year,

Then solve the equation for A

A = P(1 + r/n\()^{nt}\)

A = 1,245.00(1 + 0.037\()^{3.5}\)

A = $1,413.82

Therefore, the amount is $1,413.82.

To learn more about the compound interest rate;

https://brainly.com/question/13307568

#SPJ1