Answer:
solution
we assume the negative part because their is no squares of negative number.
10²-2(-10)-100
we get answer which is 20
Write the answer in the form (x,y)
There is a dodge ball with radius 10in and a soccer ball with radius 3in. Find how many times greater the _ volume of the dodge ball is than that of the soccer ball.It is 3.3 greater.It is 37 greater.It is 33 times greater.It is 3.7 times greater.
Option B is the correct answer. which is 37 times greater.
The volume of the sphere is defined as a measure of space that can be occupied by a sphere.
The general formula for the volume of a sphere is given:
V=4/3πr³.
where r is the radius
and the value of π is 3.17
As per the question r= 10 for dodgeball and r= 3 for the soccer ball.
substitute the values in the above formula
V₁=4/3π(10)³ and V₂=4/3π(3)³
Now divide V₁/V₂.
V=4/3π(10)³/4/3π(3)³
V=(10)³/(3)³
V=1000/27
V=37.03
so the volume of the dodgeball is 37 times greater than that of the soccer ball.
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Full question:
There is a dodgeball with a radius of 10in, and a soccer ball with a radius of 3in. Find how many times greater the volume of the dodgeball is than that of the soccer ball Select one 37 times 3.33 times 11.1 times 30 times
What are the factor's of 54.
Answer:
1, 2, 3, 6, 9, 18, 27 and 54
Step-by-step explanation:
A factor is a number that divides another number without leaving a remainder
Factors of 54:
1 × 54 = 54
2 × 27 = 54
3 × 18 = 54
6 × 9 = 54
9 × 6 = 54
18 × 3 = 54
27 × 2 = 54
54 × 1 = 54
The factors are: 1, 2, 3, 6, 9, 18, 27 and 54
Three girls share an amount of money. the eldest get b/3c of the total amount while the youngest gets b/6c of the total. what fraction does the third girl gets?
Answer:
(2c-b) / 2c
Step-by-step explanation:
b/6c + b/3c + y = 1,
Because these are fractions they must add up to 1.
Add and simplify,
(6bc + 3bc)/18c^2
b/2c + y = 1,
Make y the subject,
y = 1 - b/2c
y = (2c-b)/2c
is 5.9 bigger than 5.99?
Answer:
no
Step-by-step explanation:
5.9 is close to 5.10
5.99 is close to 6
5.9 + 0.1 = 5.10
5.99+0.1 = 6
Answer:
Hi there! 5.9 is NOT bigger than 5.99
Step-by-step explanation:
5.9 is 0.09 less than 5.99.
Hope this helps!
Brainiest? Can you click on the crown on this answer? Thanks!
How do I solve this?
Solve for x and y then use pythagorean theory
Answer:
x = (10.392)
y = 12
Step-by-step explanation:
Trigonometric Functions:Trigonometric Functions are special functions relating to the ratio of the sides of triangles. There are 6 primary ones known as sin, cos, tan, csc, sec, cot which all have definitions relating to the sides of a triangle.
We want to use one where it's defined using the adjacent side and opposite side since we know the adjacent side (the side 6) we just don't know the opposite side (the x side).
Luckily we have a function tan which is defined as: [tex]tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}[/tex]
We can plug in values we know: [tex]tan(60) = \frac{x}{6}[/tex] now just multiply both sides by 6 to solve for the x value: [tex]tan(60) * 6 = x[/tex] and then using a calculator we get approximately: 10.392 and now from here we can use Pythagorean Theorem:
[tex](10.392)^2 + 6^2 = y^2\\\\107.994 + 36 = y^2\\\\143.994=y^2\\\\12=y[/tex]
Numbers in thousands) of forest fires over the year and the number in hundred thousands) of acres burned for 7 recent years are shown.Number of fires x | 69 58 47 84 62 57 72Number of acres burned y | 64 53 42 79 57 52 67The correlation coefficient for the data is r = 1 and a = 0.05. Should regression analysis be done?The regression analysis (should/should not) be done.
The correlation coefficient of 1 indicates a strong positive linear relationship between the number of forest fires and the number of acres burned.
However, the correlation coefficient alone does not determine if regression analysis should be done or not. Other factors such as the purpose of the analysis, the distribution of the data, and the presence of outliers should also be considered.
In general, if the relationship between the two variables is of interest and there is sufficient evidence of a linear relationship, then regression analysis may be appropriate. However, a final decision requires a deeper understanding of the problem and the data.
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A land surveyor measured these lengths to find the distance, d, across a pond.
What is d, to the nearest tenth of a meter?
A
B
C
16.0 meters
19.2 meters
20.0 meters
Q
24 m
10 m
Р
12 m
The value of AB to the nearest tenth of a meter is 21 meter.
What is an equation?An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either be linear, quadratic, cubic, depending of the degree of the variable.
Two triangles are similar, if the ratio of their corresponding sides are in the same proportion
Triangle ABC and CDE are proportional, hence:
AB / DE = AC / CE
substituting:
AB / 7 = (12 + 6)/6
AB = 21 meter
The value of AB is 21 meter.
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Use an equation to find the value of k so that the line that passes through (k,4) and (3,-2) has a slope of m=-1
K=
Trish drive 18 1/8 miles yesterday she drove 13 2/3 miles today write and addition sentence to show how many miles Trish drove in all
There are 31 19/24 miles Trish drive in all.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
Trish drive 18 1/8 miles yesterday she drove 13 2/3 miles today.
Hence, Total miles Trish drive in all is,
⇒ 18 1/8 + 13 2/3
⇒ 145/8 + 41/3
⇒ (145 × 3 + 41 × 8 ) /24
⇒ (435 + 328) / 24
⇒ 763/24
⇒ 31 19/24 miles
Thus, Total miles Trish drive in all is, 31 19/24 miles.
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Sally saved $182 in March. Her father gave her $20 for every
$50 she saved. How much did Sally's father give her?
Answer:
72.8 or 72 4/5
Step-by-step explanation:
ved Match each equation of a tangent line to the correct tangent on the graph of the function f(x) = 0.1x³ + 2. y = 0.3x + 1.8 y = 4.8x - 10.8 y = 2.7x + 7.4 - y = 2.7x+3.6 y = 1.2x + 7.4 y = 4.8x + 1.8 -2 -1 10 3 1 y = 0.3x - 10.8 f(x) = 0.1x³ + 2/ 2/ 3 y = 1.2x+3.6
y = 0.3x + 1.8 matches f(x) = 0.1x³ + 2
y = 1.2x + 7.4 matches f(x) = 0.1x³ + 2
y = 2.7x + 3.6 matches f(x) = 0.1x³ + 2
y = 4.8x + 1.8 does not match f(x) = 0.1x³ + 2
y = 4.8x - 10.8 does not match f(x) = 0.1x³ + 2
y = 0.3x - 10.8 does not match f(x) = 0.1x³ + 2
What is a tangent line?A tangent line is a straight line that touches a given curve at a single point and has the same slope as the curve at that point. In other words, it is a line that locally approximates the curve at that point. The tangent line is often used to study the behavior of a function near a particular point and can provide valuable information about the properties of the curve
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Tanya is training a turtle for a turtle race. For every 5/6of an hour that the turtle is crawling, he can travel 3/20 of a mile. At what rate is the turtle crawling in miles per hour?
A-59/60 of a mile per hour
B-9/50 of a mile per hour
C-1/8 of a mile per hour
D-8 miles per hour
The turtle's rate is given as follows:
B- 9/50 of a mile per hour.
What is the relation between velocity, distance and time?Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:
v = d/t.
The parameters for this problem are given as follows:
t = 5/6, d = 3/20.
Hence the velocity is obtained as follows:
v = (3/20)/(5/6)
v = (3 x 6)/(20 x 5)
v = 18/100
v = 9/50.
Meaning that option B is correct.
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help pls. Ramon is filling cups with juice. Each cup is shaped like a cylinder and has a diameter of 4.6 inches and a height of 7 inches. How much juice can Ramon pour into 6 cups? Round to the nearest hundredth and approximate using π = 3.14.
116.27 cubic inches
303.32 cubic inches
697.65 cubic inches
2,790.58 cubic inches
an outdoor theater currently has 1,375 ft next year 125 news seats will be added there will be 25 ft in each row after the new seeing has been added how many rows would a theater have after the new seats have been added?
The total number of rows in the Theater after 125 seats are added is 60 rows.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
The Outdoor theater currently has 1,375 seats.
If we add 125 new seats then the number of seats are
= 1375 + 125
= 1500
Each row have 25 seats in one row.
Then, the total number of rows in Theater
= 1500/25
= 60 rows.
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Help ASAP! Due tonight! Will mark brainliest-
This may sound wrong or confusing but I have a cousin in college and he said that it should be 3-6!
On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 108 and a standard deviation of 17. Suppose one individual is randomly chosen. Let X = IQ of an individual.
Answer:
Step-by-step explanation:
Find the probability that X is less than 92:
We can use the cumulative distribution function (CDF) of a normal distribution to find the probability that X is less than 92. The CDF of a normal distribution with mean μ and standard deviation σ is given by:
F(x) = (1/2) * [1 + erf((x-μ)/(σ * sqrt(2)))]
Where erf is the error function.
So, the probability that X is less than 92 can be calculated as:
P(X < 92) = F(92) = (1/2) * [1 + erf((92-108)/(17 * sqrt(2)))]
This value can be calculated using a calculator or statistical software.
Find the probability that X is between 92 and 126:
We can use the CDF to find the probability that X is between 92 and 126. The probability that X is between 92 and 126 is equal to the difference between the CDF values at 126 and 92:
P(92 < X < 126) = F(126) - F(92)
This value can also be calculated using a calculator or statistical software.
Find the IQ of an individual that is in the top 10% of the population:
To find the IQ of an individual that is in the top 10% of the population, we need to find the value of X that corresponds to a cumulative probability of 0.9. This can be done by solving for X in the CDF equation:
F(X) = 0.9
X = μ + σ * inverse_CDF(0.9)
Where inverse_CDF is the inverse cumulative distribution function and can be calculated using a calculator or statistical software. The value of X that corresponds to a cumulative probability of 0.9 is the IQ of an individual that is in the top 10% of the population.
expand the expression -2/5(10+5/6m-20n)
-4-1/3m+8n is the simplified form of the expression -2/5(10+5/6m-20n)
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is -2/5(10+5/6m-20n)
Minus two by five times of ten plus five by six m minus twenty n.
In the expression m and n are the variables and minus and plus are the operators.
Apply distributive property to solve the expression.
-2/5(10)-2/5(5/6)m+2/5(20n)
-4-1/3m+8n
Hence, -4-1/3m+8n is the simplified form of the expression -2/5(10+5/6m-20n)
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MTH115 – Principles of Mathematics
Assignment 4.2 – Technology 4
Recreate this table in a spreadsheet. Use built-in commands to find the column, row, and overall totals. After that, answer the given questions by using cell references in the spreadsheet. Round your answer to the whole percentage. Upload your sheet as an excel file.
Expenses
Rent Labor Supplies Total
Business 1 750 1300 2500
Business 2 1500 975 3600
Business 3 1200 850 1850
Business 4 450 1600 2900
Business 5 3200 5200 1000
Business 6 980 360 5600
Total
a. Labor makes up what percent of the total?
b. What percent of the total was Business 4's expenses?
c. Business 5's labor cost is what percent of the total labor expenses?
d. Supplies makes up what percent of Business 5's expenses?
Answer: I'm sorry, I am not able to create or upload spreadsheets in this platform due to recent restrictions. However, you can easily create this table in a spreadsheet program like Microsoft Excel and use built-in functions to find the desired information.
To answer the questions:
a. To find the percentage of the total that Labor makes up, you would divide the total Labor expenses by the overall Total expenses, then multiply by 100 to express the answer as a percentage.
b. To find the percentage of the total that Business 4's expenses make up, you would divide Business 4's Total expenses by the overall Total expenses, then multiply by 100 to express the answer as a percentage.
c. To find Business 5's labor cost as a percentage of the total labor expenses, you would divide Business 5's Labor expenses by the overall Labor expenses, then multiply by 100 to express the answer as a percentage.
d. To find the percentage of Business 5's expenses that Supplies make up, you would divide Business 5's Supplies expenses by Business 5's Total expenses, then multiply by 100 to express the answer as a percentage.
Step-by-step explanation:
Write as a fraction in simplest form: 22%
Step-by-step explanation:
So 22% is 22% out of 100%
So
22/100
Now all you need is to simplify by dividing each side by 2
11/50
Point P is equidistant from both [AB] and [AC]. Use congruence to show that P lies on the bisector of BAC.
Hint: To find the distance from P to either line we draw a perpendicular from the point to the line. So, the figure becomes:
Based on the RHS rule of congruency of triangles, APC and APB are congruent, therefore, P lies on the bisector of BAC.
How can it be proved that P lies on the bisector of BAC?To prove that P lies on the bisector of BAC:
Sketch the angle and its bisector.Draw perpendiculars from any point along the bisector onto the two angles' two arms. The two arms, the bisector, and the two perpendiculars you sketched have now joined to form two triangles.Based on two equal angles (the bisected angle), right angles, and a similar side, the two triangles are said to be congruent (RHS congruence rule). As a result, the perpendiculars are of equal length, and the angle's bisector is equally spaced from its sides.
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I don’t understand these questions
Order of fractions from smallest to largest:
4/15, 3/10, 11/15, 17/20, 9/101/4, 1/3, 2/5, 2/3, 3/4 4/3, 7/5, 5/3, 7/4, 9/4 13/10, 13/6, 11/5, 25/6, 21/5How to order fractions3/10, 4/15, 9/10, 11/15, 17/20If sorted we first equate the denominator to 60.
18/60, 16/60, 54/60, 44/60, 51/60
So if sorted from smallest to largest, the order becomes:
4/15, 3/10, 11/15, 17/20, 9/10
1/4, 1/3, 2/3, 3/4, 2/5If sorted we first equate the denominator to 60. it becomes:
15/60, 20/60, 40/60, 45/60, 24/60
So if sorted from smallest to largest, the order becomes:
1/4, 1/3, 2/5, 2/3, 3/4
9/4, 4/3, 5/3, 7/4, 7/5If sorted we first equate the denominator to 60. it becomes:
135/60, 80/60, 100/60, 105/60, 84/60
So if sorted from smallest to largest, the order becomes:
4/3, 7/5, 5/3, 7/4, 9/4
21/5, 13/6, 25/6, 11/5, 13/10If sorted we first equate the denominator to 30. it becomes:
126/30, 65/30, 125/30, 66/30, 39/30
So if sorted from smallest to largest, the order becomes:
13/10, 13/6, 11/5, 25/6, 21/5
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Accidental question that had been put out
Answer:
Step-by-step explanation:
ss
decide which of the two given functions is linear and find its equation.x=0,1,2,3,4f(x)=6,10,14,18,22g(x)=8,10,12,16,22
The function f(x) is linear and equation is y = 4x + 6 where x=0,1,2,3,4
What exactly is a function?A function is defined as a relationship between a group of inputs that each have one output. A function is a connection between inputs in which each input is associated to exactly one output. Every function has a domain and a co-domain, as well as a range. In general, a function is denoted as f(x), where x represents the input. A function's generic representation is y = f(x).
In mathematics, there are several types of functions. Some examples include:
When there is a mapping for a range for each domain between two sets, this is referred to be an injective function or a one to one function.
Surjective functions, also known as Onto functions, are used when more than one element is transferred from domain to range.
Polynomial function: A function made up of polynomials.
Inverse Functions: A function that may be used to inverse another function.
Now,
For function f(x)=6,10,14,18,22, g(x)=8,10,12,16,22 for x=0,1,2,3,4
f is a function because y increases 4 for each increase of 1 in x
slope = 4
intercept = f(0) =6
Hence Equation is y = 4x + 6 where x=0,1,2,3,4
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Complete the square in the expression. Then factor the perfect square trinomial.
x2−32x
The perfect square polynomial is x² - 32x + 256 and the factored form is (x - 16)(x - 16)
How to factor perfect square polynomials?A perfect square trinomial is defined as an algebraic expression that is obtained by squaring a binomial expression.
A perfect square polynomial can be represented as follows;
ax² + bx - c = 0
Hence, the perfect square trinomial is x² - 32x + 256.
Now, let's factorise it.
x² - 32x + 256.
x² - 16x - 16x + 256
x(x - 16) -16(x - 16)
Therefore,
(x - 16)(x - 16)
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Answer: x²-32x+16²
Step-by-step explanation:
(x-a)²=x²-32x+a² where .2ax=-32x so, 2a=32 then a=16
then (x-16)²=x²-32x+16²
will give brainliest. A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.
Ice Cream Candy Cake Pie Cookies
81 9 72 36 27
Which statement is the best prediction about the slices of pie the college will need?
A. The college will have about 480 students who prefer pie.
B. The college will have about 640 students who prefer pie.
C. The college will have about 1,280 students who prefer pie.
D. The college will have about 1,440 students who prefer pie.
Suppose you're given a data set the classifies each sample unit into one of four categories: A, B, C, D. You plan to create a computer database consisting of these date, and you decide to code the dat B2,C3, and D. Are the data consisting of the classifications AB, C and D qualitative or quantitative? Are the data are input as 1,2. 3. 4. are the qualitative or quantitative? Are the data consisting of the classifications AB, C, and qualitative or quantitative? O A Qualitative because they were measured on a naturally occuring numerical scale OB. Quaritative, because they can only be classified into categories OC. Qualitative, because they can only be classified into categories OD Quantitative, because they are measured on a naturally occuring numerical scale her the data are input as 1. 2. 3. 4. are they calitative or quantitative? O A Quantitative, because they we measured on a naturally occurring numerical sole Os Qualitative because they are more on a naturally occurring numerical scale OC Qualitative, because they cannot be meaningfully added subtracted, multiplied, or divided OD. Quantitative, because they cannot be meaningfully added, subtracted, multiplied, or divided
Quantitative data is data that is measured on a naturally occurring numerical scale.
This can be seen in the data input as 1, 2, 3, 4, which can be meaningfully added, subtracted, multiplied, or divided. Qualitative data, on the other hand, is data that cannot be meaningfully added, subtracted, multiplied, or divided. The data set consisting of classifications AB, C, and D is qualitative because it can only be classified into categories and cannot be meaningfully added, subtracted, multiplied, or divided. To illustrate this further, let’s take an example. If the categories are colours (A = Red, B = Blue, C = Green, and D = Yellow), the data set AB, C, and D cannot be meaningfully added, subtracted, multiplied, or divided, and therefore is qualitative.
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solve. |3x+2| = |2x-5|
Answer:
[tex]3x + 2 = 2x - 5 \\ 3x - 2x = - 5 - 2 \\ x = - 7[/tex]
Step-by-step explanation:
please make me as brainlest
Step-by-step explanation:
I hope it will help you...
An airplane crosses the Atlantic Ocean (3000) miles with an airspeed of 5000 miler per hour
The time required to cross the airplane Atlantic Ocean is (3/5) hours.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know, Distance = Speed×Time.
Given, Distance is 3000 miles and the speed is 5000 miles per hour.
Therefore, 3000 = 5000×t.
t = 3000/5000.
t = 3/5 hours.
Q. An airplane crosses the Atlantic Ocean (3000) miles with an airspeed of 5000 miles per hour, What is the time required to cover the distance?
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Question Help: How much should be invested today at 6.25% compounded quarterly to have $18,000 in 13 years?
When 6.25% is compounded quarterly to get $18,000 in 13 years, the total amount is $22,478.16 in compound interest.
what is interest ?Divide the total by the yield curve, the length of time, and other factors to arrive the simple interest. Simple return = money + return + hours is the marketing formula. This method allows it easiest to calculating interest. The most typical technique to figure approximately interest is as a portion of the principal sum. He will only pay his share of the 100% extra, for example, if he borrows $100 from a neighbor and agrees to pay it back with 5% interest. $100 (0.05) = $5. When you borrow, you must pay interest, and when you give it out, you must charge interest. Interest is often determined like an indicator of the overall of both the loan total.
given
Amount = Principal (1 + rate of interest) number of years
= $1,200 (1 + 0.032) 8
= $1,200 1.286582318
= $22,478.16 is the amount in compound interest.
The remaining amount is $40,478.16.
When 6.25% is compounded quarterly to get $18,000 in 13 years, the total amount is $22,478.16 in compound interest.
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