Larry bought 12 containers of pasta salad for a school picnic. Each container held the same number of ounces of salad

Answer: A, 4[tex]\sqrt{14}[/tex]

Step-by-step explanation:

18^2-10^2=224

[tex]\sqrt{224}[/tex] =4[tex]\sqrt{14}[/tex]

Answer: 4 √ 14

Step-by-step explanation:

Pythagorean theorem is (a^2 + b^2 = c^2)

Step 1. (10^2) + (x^2) = (18^2) {we divided the 20 by 2 to get one right triangle for the pythagorean theorem.}

Step 2. 100 + x^2 = 324

Step 3. x^2 = 224

Step 4. x ≈ 15 (rounded to the nearest whole number) (x = 14.9666295)

Step 5. Eliminate the wrong choices. B and D are both eliminated, because they are whole numbers, and they don't match the answer we got.

Step 6. Find the square root. 2 √ 106 is ≈ 20.59126, which isn't equal to our 14.966, .

Step 7. With all but one answer remaining, the answer would be 4 √ 14, and we can double-check. (14.9666295 = 14.9666295.)

Therefore, the seamstress used 200 + 200 - 179 = 221 buttons for her recent mending.

As per the data given in the above question are as bellow,

The data provided are as bellow,

There are 35 buttons remaining in a package in the equipment of a seamstress.

She repaired some things and used 14 of another box.

How many buttons did the seamstress use for her most recent repair if both boxes initially had 200 buttons?

The seamstress had

200 - 35 = 165 buttons

left in her first box after using some of them.

So she had

165 + 14 = 179 buttons in total.

For such more question on seamstress

https://brainly.com/question/29330718

#SPJ4

The expressions when evaluated are √(81/49) = 9/7 and (2/5)² = 4/5

From the question, we have the following visible expressions that can be used in our computation:

√(81/49) and (2/5)²

Solving (a), we have

√(81/49)

Take the square roots

This gives

√(81/49) = 9/7

The expression cannot be further evaluated

Solving (b), we have

(2/5)²

Evaluate the exponents

This gives

(2/5)² = 4/5

The expression cannot be further evaluated

Read more about expressions

https://brainly.com/question/15775046

#SPJ1

Not every possible subset is a valid word. The longest "word" seen on Sesame Street was a string of all 26 letters of the alphabet. "ALONG" is a valid subset because it can be found in the English dictionary, and it is a recognized English word.

(a) No, not every possible subset is a valid word. For example, the subset "zxy" is not a valid English word.

(b) The longest "word" seen on Sesame Street was a string of all 26 letters of the alphabet.

(c) "ALONG" is a valid subset because it can be found in the English dictionary, and it is a recognized English word. However, "GALLON" is not a valid subset because it is not a recognized word in the English language. This is because the letters are not arranged in the correct order, and there is no recognized word in the English language with this arrangement of letters.

To know more about subset, here

https://brainly.com/question/13011569

#SPJ4

The possible dimensions of the rectangle will be 12 and 12√5.

A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the area of the rectangle is 144√5. The dimensions of the rectangle can be calculated by factorizing the given area as below:-

Area = 144√5

L x W = 12 x 12√5

So the dimensions will be L = 12 and W = 12√5.

To know more about the area of the rectangle follow

https://brainly.com/question/25292087

#SPJ1

The recursive formula is,

aₙ = 0.20aₙ₋₁ + 200

The correct option is A.

An ordered list of things is a sequence (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered items (potentially infinite).

Given:

Mahek owns a holiday tree farm.

There are currently 800 trees on the property.

Each year, 20% of the trees are harvested and sold,

and 200 seedlings are planted.

a₁ = 800

The recursive formula is,

aₙ = 0.20aₙ₋₁ + 200

Hence, aₙ = 0.20aₙ₋₁ + 200

To learn more about the sequence;

https://brainly.com/question/21961097

#SPJ1

Using the graph, the solution of 1/4 (25x + 3/5) = -2.5 - 3/8x is the point of intersection which is

The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions of systems of equations.

Finding all of these intersections or common solutions is what it means to solve a system.

Examining the attached graph the point of intersection is  (-0.4,-2.35) and this is hence the solution.

Learn more about graph at:

https://brainly.com/question/25184007

#SPJ1

Answer:

17

a. 5^4 = 625

b. 3^4 = 81

18

a. log base 10000 , 10 = -4

b. log base 2, 1/2 = -1

19. Inverse represent opposite functions, when you plug one into the other using variables, the result should be x.

Step-by-step explanation: Remember that when converting, use the base of the log function as the base of exponent. The answer to the log function represents the value of the exponent. Hope this helps!

Answer:ur mom

Step-by-step explanation:

30/60=x

x*20

Step-by-step explanation:

What a question.. expect a huge number as the answer

What we need to do is convert days into seconds, and then multiply that number by 20.

30 days

24 hours in 1 day

60 minutes in 1 hour

60 seconds in 1 minute.

So what we do is multiple these 4 numbers

[tex]60 \times 60 \times 24 \times 30 = 2592000[/tex]

There are 2,592,000 seconds in 30 days.

Now we take that number and multiply it by 20 coins

[tex]2592000 \times 20 = 51840000 \: coins[/tex]

Answer:

In feet: [tex]\boxed{158,892 \textrm{ feet}}[/tex]

In miles: [tex]\boxed{\textrm{ 3.11 \;miles}}[/tex]

Step-by-step explanation:

A diagram really helps here and so I have drawn one for your understanding

From the diagram we see that Point A refers to the location of the plane when it is 50 miles away from the airport at am altitude of 30,500 feet

In a 2D coordinate system where x refers to the horizontal distance from the airport value and y refers to the altitude,
=> Point A has coordinates (50, 30500)

When the plane is 20 miles away from the airport, the altitude has dropped down to 18000 feet

This location is represented as point B(20, 18000)

The horizontal distance traveled by the plane is 50 - 20 = 30 miles

The vertical distance traveled by the plane(drop in altitude) is 30,500 - 18,000 = 12, 500

These two form the legs of a right triangle with the actual path of descent as the hypotenuse of the right triangle (see figure)

The distance c traveled by the plane is the distance from Point A to Point B which can be computed using the Pythagorean theorem given the two legs of the right triangle

The general formula is :

[tex]\mbox{\large c = \sqrt{a^{2} + b^{2}}}[/tex]

where c is the length of the hypotenuse, a and b are the lengths of the other two sides

We have a = 12, 500 feet and b = 30 miles

Convert miles to feet to get same units:

a = 12, 500 feet

b = 30 miles = 30 x 5280 feet = 158400

[tex]\mathbox{ c = \sqrt{158400^{2} + 12500^{2}}}[/tex]

[tex]c = \sqrt{25090560000 + 156250000}[/tex]

[tex]c = \sqrt{25246810000}[/tex]

[tex]\mathrm{c = 158,892.45 \;feet}\\[/tex]

[tex]\mathbox{ \textrm{c = 158,892 feet (to the nearest foot)}}[/tex]

So the distance traveled by the plane is 158, 992 feet (to the nearest foot)

This works out to 158992/5280 miles = 30.11 miles which is pretty close to 3.09

Maybe you are required to answer in feet and not in miles.

I don't know

If a triangle has one side of 7 meters and another side of 12 meters, the other side is approximately 13.928 meters long.

A triangle is a three-sided polygon that has three angles and three sides. The sides of a triangle are connected by its angles, and the sum of the angles of a triangle is always equal to 180 degrees. The length of the sides of a triangle affects the size of its angles, and the size of its angles affects the length of its sides.

Now, in the case of a triangle where one side is 7 meters and another side is 12 meters, the length of the third side can be calculated using the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, it can be written as

=> a² + b² = c²,

where a and b are the lengths of the two sides, and c is the length of the hypotenuse.

Using the Pythagorean theorem, we can find the length of the third side of the triangle. Let's call the length of the third side "x". So,

=> x² = 7² + 12² = 49 + 144 = 193.

Taking the square root of both sides, we get

x = √(193) = 13.928.

So, the third side of the triangle is approximately 13.928 meters long.

To know more about triangle here.

https://brainly.com/question/8587906

#SPJ4

The height of the pyramid is 6 cm and the angle EBD is 36.87 degrees

From the question, we have the following parameters that can be used in our computation:

AD = 8cm CD = 5cm CE = 10cm

Given that the apex E is directly over the centre, we have

Height (h^2) = CE^2 - AD^2

So, we have

h^2 = 10^2 - 8^2

This gives

h = 6

Here, we can use the definition of tangent which is represented as

tan(EBD) = h/AD

So, we have

tan(EBD) = 6/8

tan(EBD) = 0.75

Take the arctan of both sides

EBD = 36.87

Read more about rectangular pyramid at

https://brainly.com/question/1260835

#SPJ1

The x-value of the intersection point of the lines is ( d - b)/(a-c).

Intersection of lines

Given the equation of a line communicated as;

y = ax +b and;

y = cx + d.

Comparing the two lines, we will have:

ax + b = cx + d

Make x the subject of the method:

ax - cx = d = b

x (a-c) = d - b

x = ( d - b)/(a-c)

Thus the x-worth of the intersection point of the lines is ( d - b)/(a-c)

to know more about intersecting lines click here:

https://brainly.com/question/2065148

#SPJ1

Answer:

hey

Step-by-step explanation:

Answer:

x > -2

Step-by-step explanation:

x + 3 > -1 - x

x + x + 3 > -1 - x + x

2x + 3 > -1

2x + 3 - 3 > -1 - 3

2x > -4

2x/2 > -4/2

x > -2

Minimum sample size to satisfy manufacturer requirements is 2401.

The sample size is defined as the number of observations used for determining the estimations of a given population. The size of the sample has been drawn from the population. The number of entities in a subset of a population is selected for analysis.

Given,

Margin of error m = 0.02

for Confidence interval = 95% , Z - value = 1.96

Sample size n = Z²p(1 – p)/m²

p is the proportion of population (generally taken as 0.5),

m is the margin of error.

n = (1.96)²× 0.5(1 - 0.5)/(0.02)²

n = (1.96)²× 0.5(0.5)/(0.02)²

n = 2401

Hence, 2401 is the smallest sample size.

Learn more about sample size here:

https://brainly.com/question/24158610

#SPJ1

If you start with 150 bacteria micrograms, the colony would have 1,343.61756 bacteria after 8 days.

We solve this problem using our understanding of the rules of calculating percentages. We have been given the condition that bacteria colonies increase by 73% after every 2 days.

So, starting with 150 bacteria,

after 2 days we'll be having

150+ (73% of 150) bacteria

i.e. 150 + (0.73×150)

=150 + 109.5

=259.5 bacteria

and after 4 days the no. will be,

259.5 + (0.73×259.5)

=259.5 + (189.435)

=448.935 bacteria

similarly after 6 days,

448.935 + (0.73×448.935)

=448.935 + (327.722)

=776.65755 bacteria

and finally after 8 days,

=776.65755 + (0.73×776.65755)

=776.65755 + 566.960012

=1,343.61756 bacteria

Learn more about percentages on

https://brainly.com/question/28269290?referrer=searchResults

#SPJ4

The least number of significant digits we can trust in the solution is 2.

The relative approximate error (RAE) of 0.004% gives us an indication of the precision of the solution at the end of an iteration, but it does not directly indicate the number of significant digits that can be trusted in the solution.

In general, the number of significant digits that can be trusted in a solution depends on several factors, such as the accuracy of the initial guess, the choice of method for finding the root, and the behavior of the function being evaluated.

As a rough estimate, it is common to assume that the number of significant digits in the solution is equal to the number of significant digits in the RAE, minus one.

In this case, the RAE is 0.004%, which has three significant digits, so the least number of significant digits we can trust in the solution would be

three - 1 = 2 significant digits

To know more on relative approximate error

https://brainly.com/question/13263524

#SPJ4

The ratio of the cost in dollars of the materials to the sale price in dollars is 0.4:1

The cost of the materials for one porch swing is $100 and the sale price of the swing is $250.

To find the ratio of the cost of the materials to the sale price, we divide the cost of the materials by the sale price as follows -

$100 ÷ $250 = 0.4

So, the ratio of the cost of the materials to the sale price is 0.4:1.

This means that for every $1 in the sale price, $0.4 is spent on materials or we can say that 40 cents of every dollar go towards materials.

Learn more about the ratio at

https://brainly.com/question/13419413

#SPJ4

16,000 people are expected to attend this year's events, according to the exponential smoothing method.

Below is a forecast utilizing the exponential smoothing method.

Forecasting with exponential smoothing is done using the formula below.

Ft+1 = Ft + α (At – Ft ) 

Find the forecasting for this year using the formula Ft+1 = Forecasting Value of the Upcoming Year =?

Ft = Forecasting Value of the Previous Year = 15,000= Predicted Attendance for the Previous Year

At = Actual Value of the Previous Year = 20,000 

Smoothing Constant (which lies between 0 and 1) =0.2 =α

F(last year) + α (A(last year) – F(last year) )=F (This year)

= 15000 + 0.2 (20000 – 15000)

= 15000 + 0.2 (5000)

= 15000 + 1000

= 16000

F (This year) = The anticipated attendance for this year is 16000.

According to the exponential smoothing method, 16,000 people are expected to attend this year's events.

Here is more information about Smoothing Constant : brainly.com/question/14510124

#SPJ4

The cost per mile that Bill Novato had last year was $0.40.

As per the data given:

Last year, Bill Novato drove 38,986 miles.

Also he had the expenses as follows:

Gas: $7787. 25

Maintenance and miscellaneous: $318.80

Parking and tolls: $325.00

Tires: $300.00

Wash and wax: $75.00

insurance: $614.80

License, $74.90

Loan interest: $412.20

Depreciation: $5780.0

To find the cost per mile we just need to divide all the expenses Bill had on the car by the amount of miles he drove.

The total amount of expenses can be found by adding all the expenses together.

= 7787.25 + 318.8 + 325 + 300 + 75 + 614.8 + 74.9 + 412.2 + 5780

= 15687.95

The total expense of the car was $15687.95.

Dividing this value by the total amount of miles driven, we have:

[tex]$\frac{15687.95}{38986}=0.40239957933[/tex]

The cost was approximately $0.40 per mile.

For more questions on total expenses

https://brainly.com/question/25827625

#SPJ4

Assuming,

Question: what is the simplest form of the expression  [(X/6) + X³] * (1/2) ?

Solution:-

The simplest form of the expression  [(X/6) + X³] * (1/2) is,

An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The expression,

[(X/6) + X³] * (1/2)

To simplify the expression [(X/6) + X³] * (1/2),

we can first simplify the two expressions in the parentheses:

(X/6) + X³ = X/6 + X³

(1/2) * (X/6 + X³) = X/12 + X³/2

So the simplified form of the expression [(X/6) + X³] * (1/2) is X/12 + X³/2.

To know more about Expressions check:

brainly.com/question/16804733

#SPJ1

Store #1 has the better price amount , as the price per dozen eggs is $1.44, whereas Store #2 is $1.29 per dozen eggs.

Store #1 has the better price, as the price per dozen eggs is $1.44, whereas Store #2 is $1.29 per dozen eggs. To compare the prices, we need to calculate the cost per dozen eggs for each store. To do this, we divide the cost by the number of eggs. For Store #1, the cost per dozen eggs is $1.44 divided by 12, which is $0.12. For Store #2, the cost per dozen eggs is $4.68 divided by 36, which is $0.13. Therefore, Store #1 has the better price, as it is cheaper than Store #2. By comparing prices, we can find the best deal for our money. It is important to compare prices to get the best value for our money, as it can help us save money in the long run. Additionally, by comparing prices, we can make sure we are getting the highest quality product at the best price.

Learn more about amount here

https://brainly.com/question/28970975

#SPJ4

Answer:

-96188148454815460181518484413

Andrew's training plan can be modeled by an exponential function, and Sebastian's training plan can be modeled by a linear function. So, correct option is c) .

A linear function is a mathematical function that maps a set of inputs to a set of outputs in such a way that the output is proportional to the input. In other words, if the input changes by a certain amount, the output changes by a constant factor.

The equation of a linear function has the form:

y = mx + b

where x is the input variable, y is the output variable, m is the slope of the line, and b is the y-intercept. The slope represents how much the output changes for each unit change in the input, and the y-intercept represents the output value when the input is zero.

Linear functions are represented by straight lines on a graph. If you plot the input and output values for a linear function on a graph, the resulting points will form a straight line. The slope of the line represents the rate of change of the output with respect to the input, and the y-intercept represents the initial value of the output.

In Andrew's training plan, the weight he lifts is increasing by a constant percentage each week, which is characteristic of exponential growth. In Sebastian's training plan, the weight he lifts is increasing by a constant amount each week, which is characteristic of linear growth.

To know more about function visit:

https://brainly.com/question/29796477

#SPJ1

The complete question is:

Andrew and Sebastian are training for a weightlifting competition. In order to prepare, each of them has created their own personal training plan as follows:

Which of the following statements are true?

a) Andrew and Sebastian both increase the weight they lift each week by the same amount.

b) Andrew's training plan can be modeled by a linear function, and Sebastian's training plan can be modeled by an exponential function.

 c) Andrew's training plan can be modeled by an exponential function, and Sebastian's training plan can be modeled by a linear function. 

d) Andrew increases the weight he lifts each week by equal factors, and Sebastian increases the weight he lifts each week by equal differences

e)  Andrew increases the weight he lifts each week by equal differences, and Sebastian increases the weight he lifts each week by equal factors.

The height of Eiffel Tower is found as 1054.12 feet approximately.

We can use the cosine trigonometric ratio here to find the height of Eiffel Tower.

Given that:

Mai is 80 feet away from the tower.

She is looking up the tower's top at an angle of 85.66 degrees.

To find:

The height of Tower

Using the right-angled triangle's cosine ratio from angle of elevation:

Refer to the diagram attached below.

Assuming height of Mai is negligible in comparison to height of Eiffel tower, we have triangle ABC as right angled triangle.

Using cosine of angle C (since we're given base length and length of perpendicular is needed which is height of tower), we get:

[tex]\begin{aligned}& \tan (C)=\frac{A B}{B C} \\& \tan \left(85.66^{\circ}\right)=\frac{h}{80} \\& h=\tan \left(85.66^{\circ}\right) \times 80 \\& h \approx 13.1765 \times 80 \\& h \approx 1054.12 \text { feet }\end{aligned}[/tex]

Therefore, the height of the Eiffel tower is found to be 1054.12 feet approximately.

For more such questions on Trigonometric ratios

https://brainly.com/question/15635633

#SPJ4

There is a 0.99% chance of getting the first 2 white and the last 2 black if you draw 4 balls without replacement from a bag containing 10 white and 20 black balls.

If there are W white balls and B black balls in a bag, and you are drawing 4 balls without replacement, the probability that the first 2 selected are white and the last 2 black can be calculated as follows:

[tex]P(WWBB) = (W/ (W + B)) * ((W-1) / (W + B - 1)) * (B / (W + B - 2)) * ((B-1) / (W + B - 3))[/tex]

So, for example, if there are 10 white balls and 20 black balls, then the probability of getting the first 2 white and the last 2 black is:

[tex]P(WWBB) = (10 / 30) * (9 / 29) * (20 / 28) * (19 / 27) = 0.0099[/tex]

This means that there is a 0.99% chance of getting the first 2 white and the last 2 black if you draw 4 balls without replacement from a bag containing 10 white and 20 black balls.

Learn more about probability :

https://brainly.com/question/11234923

#SPJ4

The exposure time when x = 560 is: 13.66 hour

A method of simulating the relationship between two sets of variables is quadratic regression. The outcome is a regression equation that may be applied to the data to generate predictions. The formula for the equation is: y = ax² + bx + c, where a ≠ 0. Situations that may be approximated by quadratic functions include tossing a ball, firing a cannon, jumping from a platform, and striking a golf ball. Researchers may find the quadratic model to be a useful tool for data analysis in identifying the combined impact of success objectives on academic accomplishment. We anticipate that future studies on the impact of academic performance objectives will frequently use the quadratic model to analyse their data.

Given that,

T = 0.0002x² - 316x + 127.9

exposure time = T

Now, calculate exposure time when x = 560

So, T = 0.0002x² - 0.316x + 127.9

T = 0.0002×(560)² - 0.316 × (560) + 127.9

T = 62.72 - 176.96 + 127.9

T = 13.66 hour

To know more about exposure time refer to:

https://brainly.com/question/12006702

#SPJ1