Answer:
B) 33
Step-by-step explanation:
Jan starts out using 3 toothpicks to create Figure 1. She adds 4 toothpicks to create Figure 2 and adds another 4 toothpicks to create Figure 3. The equation for this question can be written as such:
3 + 2x = ? toothpicks
We will replace x with 15 because Figure 16 - Figure 1 is 15.
3 + (2 x 15) = ? toothpicks
2 multiplied by 15 is 30
3 + 30 = ? toothpicks
3 plus 30 is 33
The answer is B) 33
I hope that this helps :)
Data table Activity Optimistic START 0 ABCDEFGHIK А J L FINISH 605 2607NTO TO 2-253 N N N M - NO 15 3 1 1 1 Time Estimates (days) Most Likely 0 0 10 1 20 10 2 2 2 3 1 Print Pessimisitic 0 OANAN www�
Answer:
This is gebber gabber but yes
Step-by-step explanation:
A farmer is creating a budget for planting soybeans and wheat. Planting soybeans costs $200 per acre and planting wheat costs $500 per acre. He wants to spend no more than $100,000 planting soybeans and wheat. Name ONE SOLUTION to the inequality you wrote above.
inequality is (300,900)
Answer:
200? if not right ill delete my answer
Step-by-step explanation:
For a recent art project, a teacher purchased 94 pieces of red construction paper and 80 What is the exact ratio of red construction paper to blue construction paper?
In the recent art project, the teacher purchased 94 pieces of red construction paper and 80 pieces of blue construction paper. To determine the exact ratio of red construction paper to blue construction paper, we divide the number of red construction paper pieces by the number of blue construction paper pieces.
The ratio of red construction paper to blue construction paper can be expressed as:94:80
However, we can simplify this ratio by dividing both numbers by their greatest common divisor. In this case, the greatest common divisor of 94 and 80 is 2.
Dividing 94 by 2 gives us 47, and dividing 80 by 2 gives us 40.
Therefore, the exact simplified ratio of red construction paper to blue construction paper is: 47:40
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The science team is creating a float for the homecoming parade. They want to make a rocket ship by using foam to create a cone that is stacked on top of a cylinder. The bases of the cylinder and cone will be congruent and have a radius of 1.5 feet. The height of the cylinder will be 4 feet, and the height of the cone will be 2 feet. If all the visible surfaces of the structure need to be painted except for the bottom of the cylinder, then what area needs to be painted? Round your answer to the nearest tenth of a square foot.
Therefore, approximately 65.9 square feet of paint will be needed to cover all visible surfaces of the rocket ship float.
What is surface area?Surface area is the measure of the total area that the surface of an object occupies. It is the sum of all the areas of the individual faces or surfaces of the object. For example, if you have a cube, the surface area would be the sum of the areas of all six faces of the cube. The surface area is usually measured in square units, such as square meters, square centimeters, or square feet, depending on the system of measurement used. Surface area is an important concept in many fields of study, including mathematics, physics, chemistry, and engineering.
by the question.
To calculate the total surface area that needs to be painted, we need to find the surface area of the cylinder and the surface area of the cone, and then add them together.
Surface area of the cylinder:
The cylinder has a radius of 1.5 feet and a height of 4 feet. The formula for the surface area of a cylinder is:
\(SA_cylinder = 2πrh + 2πr^2\)
where r is the radius and h is the height of the cylinder.
Plugging in the values, we get:
\(SA_cylinder = 2π(1.5)(4) + 2π(1.5)^2\\SA_cylinder = 12π + 4.5π\\SA_cylinder = 16.5π\)
\(SA_cylinder = 51.8 ft²\) (rounded to the nearest tenth)
Surface area of the cone:
The cone also has a radius of 1.5 feet, and a height of 2 feet. The formula for the surface area of a cone is:
\(SA_cone = πr√(r^2 + h^2)\)
Plugging in the values, we get:
\(SA_cone = π(1.5)√(1.5^2 + 2^2)\\SA_cone = π(1.5)√(2.25 + 4)\\SA_cone = π(1.5)√6.25\)
\(SA_cone = π(1.5)√(1.5^2 + 2^2)\\SA_cone = π(1.5)√(2.25 + 4)\\SA_cone = π(1.5)√6.25\) (rounded to the nearest tenth)
Total surface area:
Adding the surface area of the cylinder and the surface area of the cone, we get:
\(Total SA = SA_cylinder + SA_cone\)
Total SA ≈ 65.9 ft² (rounded to the nearest tenth)
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Rounded to the nearest tenth of a square foot, the area that needs to be painted is 76.9 square feet.
What exactly is a cylinder?
In geοmetry, a cylinder is οne οf the fundamental 3d fοrms with twο parallel circular bases at a distance.
The first step is to calculate the lateral surface area of the cylinder and cone. The lateral surface area of the cylinder is the product of the height and the circumference of the base, which is:
4 feet x 2π(1.5 feet) = 12π square feet
The lateral surface area of the cone is half the product of the slant height and the circumference of the base, which is:
1/2 x 2π(1.5 feet) x √(2^2 + 1.5^2) = 7.5π square feet
The total area to be painted is the sum of the lateral surface areas of the cylinder and cone, plus the area of the base of the cone, which is congruent to the base of the cylinder. The base has a radius of 1.5 feet, so the area of each base is:
π(1.5 feet)^2 = 2.25π square feet
The total area to be painted is:
12π + 7.5π + 2(2.25π) = 24.5π square feet
Using a calculator, this is approximately equal to 76.95 square feet.
Therefore, Rounded to the nearest tenth of a square foot, the area that needs to be painted is 76.9 square feet.
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given rhombus and square have equal area and one of diagonal of rhombus is one side of square if length of square is 10 cm find a) diagonals of rhombus if one is half of the othe b)area of square c)area of rhombus d) perimeter of square
Answer:
a) 10 cm and 20 cm
b) 100 cm^2
c) 100 cm^2
d) 40 cm
Step-by-step explanation:
Given:
\(a(rhombus) = a(square)\)
\(l(square) = 10 \: cm\)
\(diagonal1 = 2 \times diagonal2\)
Find:
a) Diagonals of the rhombus
We already know the length of one diagonal (which is 10 cm, since it was said, that is is equal to a square's length)
Now, we can find the other one (d2 is the second diagonal):
10 cm = 0,5 × d2 (divide both sides from 0,5)
d2 = 20 cm
b) Area of the square
\(a(square) = {l}^{2} = {10}^{2} = 100 \: {cm}^{2} \)
c) Area of the rhombus:
\(a(rhombus) = \frac{1}{2} \times d1 \times d2 = \frac{1}{2} \times 10 \times 20 = 100 \: {cm}^{2} \)
d) Perimeter of the square (we multiply one side's length by 4, since square has 4 identical sides):
\(p(square) = l \times 4 = 10 \times 4 = 40 \: cm\)
jenny has $25 and she earns $10 for each lawn that she mows. jenny wants to buy a concert ticket that costs $65
enter the minimum number of lawns jenny needs to mow to be able to buy the concert ticket
12 feet
8 feet
6.5 feet
Door
3 foet
Mrs. Foster is planning to wallpaper one walt of her game room, shown
above. How much wallpaper will she need?
2.
Answer:
96sq ft. u just multiple the length by the height then square it
we have created - 2,000 training images, - 1,000 validation images, - and 2,000 test images - with the same numbers of cats and dogs in each. what is overfitting? - provide an example in terms of the cats vs. dogs dataset.
A machine learning model overfits when it becomes overly complicated and begins to memorize the training data rather than learning broad patterns that can be applied to fresh data. In other words, the model performs worse on the validation or test set because it cannot generalize to new data due to how well it fits the training data.
Assume, for instance, that we train a convolutional neural network (CNN) on the 2,000 training images in the cats vs. dogs dataset and obtain high accuracy on the training set. However, the accuracy drastically declines when we test the model on the 2,000 test photographs. This is a symptom of overfitting and indicates that the model cannot generalize to new data since it has learned the specific features of the training set too well. We can employ strategies like regularisation, dropout, and early halting, as well as increasing the volume of training data, to avoid overfitting.
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Solve the system by substitution. 5x+2y=5 y=(-2x+3
Answer:
(x, y) = (-1, 5)
Step-by-step explanation:
You want to solve this system of equations by substitution.
5x +2y = 5y = -2x +3SubstitutionThe idea of substitution means we want to replace an expression in one equation for an equivalent expression based on the other equation.
Here, the second equation gives an expression equivalent to "y", so we can use that expression in place of y in the first equation:
5x +2(-2x +3) = 5 . . . . . . . . (-2x+3) substitutes for y
x +6 = 5 . . . . . . . . . . simplify
x = -1 . . . . . . . . . subtract 6
y = -2(-1) +3 = 5 . . . . . use the second equation to find y
The solution is (x, y) = (-1, 5).
__
Additional comment
Choosing substitution as the solution method often works well if one of the equations gives an expression for one of the variables, or if it can be solved easily for one of the variables. The "y=" equation is a good candidate for providing an expression that can be substituted for y.
Any equation that has one of the variables with a coefficient of +1 or -1 is also a good candidate for providing a substitution expression.
4x -y = 3 ⇒ y = 4x -3 . . . . . for example
The attached graph confirms the solution above.
A company expects that the number N(x) of a product sold during a week is related to the amount spent on advertising by the function N(x)=-6x3+180x²+2250x + 13,000, where x (with 0 ≤x≤25) is the amount spent on advertising in thousands of dollars. What is the point of diminishing returns?
The point of diminishing returns is
(Simplify your answer. Type an ordered pair. Do not use commas in the individual coordinates.)
The point of diminishing returns is (20.98, 21247.3).
The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.
Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.
The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:
0 = -18x² + 360x + 2250
Dividing by -18 simplifies the equation:
0 = x² - 20x - 125
Using the quadratic formula, we find the solutions to the equation:
x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)
x₁,₂ = 10 ± 5√5
Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.
To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:
N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8
N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8
From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.
To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).
Hence, the point of diminishing returns is approximately (20.98, 21247.3).
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a firm's total revenue is calculated as times quantity produced
Total revenue is calculated by multiplying the price per unit by the quantity produced and sold. This calculation provides valuable insights into a firm's sales performance and helps in assessing the financial health of the business.
A firm's total revenue is calculated by multiplying the quantity produced by the price at which each unit is sold. To calculate the total revenue, you can use the following equation:
Total Revenue = Price × Quantity Produced
where Price represents the price per unit and Quantity Produced represents the total number of units produced and sold.
For example, let's say a company sells a product at a price of $10 per unit and produces 100 units. The total revenue can be calculated as:
Total Revenue = $10 × 100 units
Total Revenue = $1,000
So, the firm's total revenue in this case would be $1,000.
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Total revenue is an important metric for businesses as it indicates the overall sales generated from the production and sale of goods or services. By calculating the total revenue, companies can evaluate the effectiveness of their pricing strategies and determine the impact of changes in quantity produced or price per unit on their overall revenue.
It is essential for businesses to monitor and analyze their total revenue to make informed decisions about production levels, pricing, and sales strategies.
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is 0.4141... a rational number or an irrational number?
Rational number
Step-by-step explanation:it repeats - { 4 1 4 1 }it is both non-terminating and repeating.Answer:
It is rational, as it is both non-terminating and repeating.
hope it helps :D
What are the names of these polygons?
a)
b)
c)
d)
can anyone help pls?
Express 3.23×10 ^6
in standard decimal notation.
The number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. In scientific notation, a number is expressed as the product of a coefficient and a power of 10.
In this case, the coefficient is 3.23, and the power of 10 is 6. To convert this number into standard decimal notation, we need to multiply the coefficient by the corresponding power of 10. The power of 10, in this case, is 10^6, which means 10 raised to the power of 6. This is equivalent to 1 followed by six zeros: 1,000,000. To obtain the standard decimal notation, we multiply the coefficient, 3.23, by 1,000,000.
Calculating the multiplication, we have:
3.23 × 1,000,000 = 3,230,000.
Hence, the number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. This means that the number is equal to 3.23 million.
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Solve the division problem. Round answer to the nearest hundredth.9.2/52.063
In order to divide these numbers, first let's start with a 0 in the unit place, since 9.2 is smaller than 52.063.
Then, we multiply 9.2 by 10, this way we will calculate the tenths place.
Now, dividing 92 by 52.063, we have 1 as the result.
The remainder will be 92 - 52.063 = 39.937.
Again, let's multiply the remainder by 10, so now we will calculate the hundredths of the result.
Dividing 399.37 by 52.063 we have 7.
The remainder is 399.37 - 7*52.063 = 34.929.
Multiplying by 10, we have 349.29, and now we calculate the thousandths.
Dividing 349.29 by 52.063 we have 6.
Until now, the result of the division is 0.176.
Rounding to the nearest hundredth, we have 0.18 as the result of the division.
The costs of repairing iPads in UAE are normally distributed with a mean of 173 Dhs. If
3%
of the costs exceed 243 Dhs, find the standard deviation of the costs. Round your answer to the nearest diham (Whole number).
The standard deviation of the costs is 37 Dhs
The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.
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The price of a skateboard is $75. If the store has a 20% off sale, how much will the skateboard be?
Answer:
The skateboard will be $60
Step-by-step explanation:
$75 x 0.2 = $15
$75 - $15 = $60
PLEASE HELP ME SOLVE THE FOLLOWING WITH DETAILED EXPLAINATIONS .GOD BLESS YOU .
1.Find the value of y:
3(2raised to the power -y) all over 16 - 1 =1/2
2.A train passes through a station at a speed of 108km/h.
The length of the station is 120km.
The train takes 7 seconds to completely pass through the station .
Work out the length of the train.
3.Xavier's salary increases by 2% each year.
In 2010 , his salary was £40,100
i) Calculate his salary in 2015 and give your answer to the nearest pound.
ii) In which year did Xavier's salary first greater than £47,500
The value of y is 0.26 and the length of the train is 45m
\(3( 2^-^y) / (16 - 1) )= 1/2\)
\(2^(^-^y^) = 5/6\)
After applying log on both sides we get
-y × log(2) = log(5/6)
Divide both sides by log 2
y = -log(5/6) / log(2)
We get the value of y
y =- 0.2630344
Speed of train = 108 km/h
= (108×1000) m / (60 × 60) s
= 30 m/s
Length of station = 120 km = 120000 m
Let's assume that the length of the train is L
L/30 + (L + 120)/30 = 7
2L/30 + 4 = 7
2L/30 = 3
L = 45
Hence, the length of train is 45 m
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Simplify 12 − 32 + (5 − 1)2.
A) 12
B) 18
C) 19
D) 97
12-32+[5-1]x2
-20+4x2
-20+8
=-12
The simplified form of the given expression is -12. Therefore, option A is the correct answer.
What is simplify?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
The given expression is 12-32+(5-1)2.
Here, 12-32+4×2
= -20+8
= -12
Therefore, option A is the correct answer.
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help please 100 point
Answer:
Solution given:
we have
<A+<B=exterior <C[sum of two opposite interior angle of a triangle is equal to the exterior angle in a triangle]
So
3x-13+ 2x+4=116°
5x-9=116°
5x=116°+9°
x=125/5
x=25
Now
<A=3×25-13=62°
<B=2×25+4=54°
Answer:
\(3x - 13 + 2x + 4 = 166 \\ 5x - 9 = 116 \\ 5x = 166 + 9 \\ 5x = 125 \\ x = \frac{125}{5} \\ x = 25 \\ \\ a = 3 \times 25 - 13 = 62 \\ b = 2 \times 25 + 4 = 54\)
△BOK∼POS. Identify the coordinates of K and the scale factor.
O = 0, 0
B = 5, 0
P = 8, 0
S = 0, -12
The coordinates of K = (0, -7.5) and the scale factor is 8/5.
Consider the following figure of triangles.
△BOK and ΔPOS.
Since △BOK∼ ΔPOS, the sides of △BOK and ΔPOS must be in proportion. (from definition of triangle similarity)
i.e., OP / OB = OS / OK = PS/BK
Consider an equation,
OP / OB = OS / OK
From the diagram:
OP = 8, OB = 5, OS = 12
Substitute these values in above equation.
8/5 = 12/OK
OK = 60/8
OK = 7.5
We can observe that OK is the distance of point K from origin 'O'
So, the coordinates of K would be (0, -7.5)
And the scale factor is 8/5.
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Melanie buys a skirt that costs 32.00. she pays 10% sales tax. how much does she pay for the dress, with tax
Answer:
$35.2 dollars
Step-by-step explanation:
You divide 10 by 32.00 and whatever that number equals, you add to 32.00:) Ta da! Hope this helps
Which two integers are 7 units away from the number 5 on a number line?
Answer:
(12,-2)
Step-by-step explanation:
look on a number line
count 7 from 5 to the right and left
and put both number into a (x,y) format
Answer:
12 & -2
Step-by-step explanation:
5 + 7 = 12
5 - 7 = -2
Which ordered pair could be added to the relation below to ensure it continues to be a function?
{(-5,-5), (1,4), (5,0), (-6,8)}
(-6,2)
(1,6)
(6, 0)
(-5, -6)
{(-5,-6), (1,4), (5,0), (-6,8)} shows a relation.
What is Relation?
In general, a relation is a connection or association between two or more things. In mathematics, a relation is a set of ordered pairs that describe the relationship between elements of one or more sets.
To check if the relation is a function, we need to make sure that for every input value (the first element of each ordered pair), there is exactly one output value (the second element of each ordered pair).
We can see that the given relation has four ordered pairs:
{(-5,-5), (1,4), (5,0), (-6,8)}
To check if this is a function, we need to check if there are any repeated input values with different output values. If there are any, the relation is not a function.
We see that the input value -5 appears twice, once with output value -5 and once with output value -6. Therefore, the given relation is not a function.
To ensure that it becomes a function, we need to remove one of the ordered pairs that have the input value -5. Let's remove the pair (-5,-5) and add the pair (-5,-6) instead. This would result in the following relation:
{(-5,-6), (1,4), (5,0), (-6,8)}
Now, for every input value, there is exactly one output value, and thus this is a function.
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What is the slope of (3,7) and (6,12)
Answer:
slope=y2-y1/x2-x1
where y2= 12, y1=7, x2=6, x1=3
12-7/6-3
= 5/3
therefore slope=5/3
Simplify the following surd expressions
a) 7/3 - 2/3 + V3 - 3V3
Answer:
\(\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}\)
Step-by-step explanation:
Given the expression
\(\frac{7}{3}\:-\:\frac{2}{3}\:+\:v^3\:-\:3v^3\)
solving the expression
\(\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}\)
combine the fractions i.e \(\frac{7}{3}-\frac{2}{3}=\frac{5}{3}\)
\(\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}=\frac{5}{3}+\sqrt{3}-3\sqrt{3}\)
add similar elements i.e \(\sqrt{3}-3\sqrt{3}=-2\sqrt{3}\)
\(=\frac{5}{3}-2\sqrt{3}\)
Thus,
\(\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}\)
4.
Congratulations! You won a contest sponsored by a local radio station. If you were given the choice of the two payment plans listed below, which plan will pay you more? How much more? Be sure to show all evidence including formulas used for calculations.
A. $1 on the first day, $2 on the second day $3 on the third day etc. for 1 week.
B. $0.01 on the first day , $0.02 on the second day , $0.04 on the third day etc.. For 1 week.
Answer:
Step-by-step explanation:
a) 1 + 2 + 3 .... + 7 = 8*(3.5) = $28
b) $0.01
$0.02
$0.04
$0.08
$0.16
$0.32
$0.64
sum = $1.27
Can someone help me with this math problem?? I barely understand it and just need help.
Answer:
The -intercept is 100
In coordinate form it is (0,100)
The equation is y = 1/2x + 100
Step-by-step explanation:
Use the formula y = mx+b
m is the slope and b is the y intercept
This is the point where it crosses the y axis (up and down)
I hope this helps!
Imagine that you have been asked to write a letter to a 7thgrader. Using academic vocabulary and 5-7 complete sentences, write a letter teaching a 7thgrader about something you have learned in 8thgrade Math this year.
please help me!
Answer:
step 1: what have you learned?
We cant help you because we do not know what you have learned.
but if you comment your vocab words and what u learned i can help you
Step-by-step explanation:
2 of 3
Some people took part in a game. The frequency shows information about their scores.
Score
1-7
8-10
11-15
16-20
21-35
36-50
Estimate the mean.
Give your answer rounded to 2 decimal places.
Frequency
13
1
19
20
19
20
The mean of the given data is 22.39.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Let us form a table by give data
Score Frequency Midpoint(x) fx
1-7 13 4 52
8-10 1 9 9
11-15 19 13 247
16-20 20 18 360
21-35 19 28 532
36-50 20 43 860
Mean=∑fx/N
=52+9+247+360+532+860/13+1+19+20+19+20
=2060/92
Mean=22.39
Hence, the mean of the given data is 22.39.
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