Answer:
scale factor = 2
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, that is
scale factor = \(\frac{BC}{DE}\) = \(\frac{10}{5}\) = 2
Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.25 mile she bikes. If Emily bikes 6 miles, how much will her mother donate?
Complete the table for y=1/5x+1 and graph the resulting line
Answer:
yidyf
Step-by-step explanation:
jcyfifjfjhfueujevevve
the total amount of fiber (in grams) in a package containing x apples and y oranges is given by the equation 5x 10y
The equation given, 5x + 10y, does not represent the total amount of fiber in a package containing x apples and y oranges.
To calculate the total amount of fiber in a package containing x apples and y oranges, you would need to know the amount of fiber in each apple and orange and the number of apples and oranges in the package.
For example, if each apple contains 3 grams of fiber and each orange contains 2 grams of fiber, and there are x apples and y oranges in the package, the total amount of fiber in the package would be:
Total fiber = (3 grams of fiber per apple)(x apples) + (2 grams of fiber per orange)(y oranges)
Total fiber = 3x + 2y grams
what is number?
A number is a mathematical concept used to represent quantity or magnitude. Numbers can be used to count objects, measure distances or sizes, perform calculations, and describe various other mathematical concepts. The most basic types of numbers are the natural numbers, which include all positive integers (1, 2, 3, ...), and sometimes zero (0) as well. Other types of numbers include fractions, decimals, negative numbers, complex numbers, irrational numbers, and more. Numbers are a fundamental concept in mathematics and are used extensively in many fields, including science, engineering, economics, and finance.
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can you please help me with the second question.
Answer:
98
Step-by-step explanation:
The sum of the two numbers is 29. the difference between four times the first and second numbers is 6. Find the two numbers
Answer:
7 and 22
Step-by-step explanation:
let the first number be x
and the second y
x+y=29_________(1)
4x+y=6_________(2)
5x = 35
x=7
substitute x=7 in equation 1
7+y=29
y=29-7
y=22
If r(x) is a rational function in simplest form where the degree of the numerator is 3 and the degree of the denominator is 1, then
r(x) has no horizontal asymptote
r(x) has a nonzero horizontal asymptote
r(x) has a horizontal asymptote at y=0
If r(x) is a rational function in simplest form where the degree of the numerator is 3 and the degree of the denominator is 1, a)then r(x) has a horizontal asymptote at y=0.
This is because the degree of the denominator is greater than the degree of the numerator, which means that as x gets very large or very small, the denominator will dominate the behavior of the function.
As a result, the function will approach zero, and thus, there is a horizontal asymptote at y=0. If the degree of the numerator were greater than or equal to the degree of the denominator, then the function could have a horizontal asymptote at a nonzero value or no horizontal asymptote at all.
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help asap if you can pls!!!!!
Answer:
SAS, because vertical angles are congruent.
You borrowed $600 to purchase a new musical instrument. The rate on the loan was 10%. If you took five years to pay, how much did you have to pay for the loan in total?
Answer:
If you took five years to pay, how much did you have to pay for the loan in total?
($600 x 10%/year) x 5 years = $300
The loab in total : $600 + $300 = $900
Step-by-step explanation:
Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to
The volume of Pill Bluetooth Speaker is 39.78 cubic inches.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, Pill Bluetooth Speaker consists two semi sphere and cylinder.
The diameter of the cylinder and semi sphere is 2 inches. the height of the cylinder is a foot.
Radius =2/2 1 inch
We know that, the volume of semi sphere is 2/3 πr³
= 2/3 ×3.14×1³
= 2.1 cubic inches
We know that, 1 foot =12 inches
The volume of cylinder is πr²h
= 3.14×1²×12
= 37.68 cubic inches
Total volume =37.68+2.1
= 39.78 cubic inches
Therefore, the volume of Pill Bluetooth Speaker is 39.78 cubic inches.
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"Your question is incomplete, probably the complete question/missing part is:"
Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to nearest tenth.
a) Volume of the Bluetooth Speaker ______
Predicate logic 1. (x) (Px v Dx) 2. ~Da /Ра 2
1. (∃x)Gx ⊃ (y)(Hy)
2. GC /Hс
1. The first statement is a universally quantified predicate that states for all x, either Px or Dx is true.
2. The second statement is the negation of Da, which means Da is false. From this, we can infer that Pa is true.
1. The first statement, (∀x)(Px v Dx), expresses that for all x, either Px or Dx is true. This means that every element x satisfies the condition of being either Px or Dx. It does not specify which elements satisfy Px or Dx, but it applies to all x universally.
2. The second statement, ~Da, indicates that Da is false. From the negation of Da, we can infer the truth of its negation, which is Pa. Therefore, we can conclude that Pa is true based on the given information.
By combining the conclusions from the two statements, we can deduce the following:
- (∀x)(Px v Dx) is true for all x.
- ~Da is true, which implies Pa is true.
However, there is no direct relation or implication between Pa and the statement GC / Hc. Without further information or logical connections, we cannot derive the conclusion Hc based solely on the given premises.
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Given the first order ODE, xdy/dx=3xe^x−2y+5x^2 which of the following(s) is/are correct? Select ALL that apply. o The equation is EXACT o The equation is LINEAR o y=0 is a solution o The equation is SEPARABLE o The equation is HOMOGENEOUS
the only correct option is that the equation is linear. The correct option is 2.
The given first-order ODE is `xdy/dx = 3xe^x - 2y + 5x^2`. Let's analyze each option:
- The equation is not exact because it cannot be written in the form `M(x,y)dx + N(x,y)dy = 0`.
- The equation is linear because it can be written in the form
`dy/dx + P(x)y = Q(x)`.
- `y=0` is not a solution to the given ODE.
- The equation is not separable because it cannot be written in the form `g(y)dy = f(x)dx`.
- The equation is not homogeneous because it cannot be written in the form `dy/dx = F(y/x)`.
So, the only correct option is that the equation is linear.
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Sydney i cutting the crut from the edge of her andwich. The dimenion, in centimeter, of the andwich i hown. A rectangle labeled andwich. The right ide i labeled 2 x quared 9. The bottom ide i labeled 2 x quared 8. Which expreion repreent the total perimeter of her andwich, and if x=1. 2, what i the approximate length of the crut?
Repone
4x217; 21. 8 centimeter
4 x quared plu 17 ; 21 point 8 centimeter
8x234; 43. 6 centimeter
8 x quared plu 34 ; 43 point 6 centimeter
8x234; 45. 52 centimeter
8 x quared plu 34 ; 45 point 5 2 centimeter
4x217; 22. 76 centimeter
The total perimeter will be 4x^+17 and length be 22.76 cm
As per the data given in the questions,
We have, the shape of the sandwich be rectangular.
We know that, perimeter of the rectangle can be determined by using formula: 2(l+b),
where, l = length of the rectangle
and, b = breadth of the rectangle
The expression for the perimeter of the sandwich would be:
2 (2x^2 + 9) + 2 (2x^2 + 8)
= 4x^2 + 26
Now for finding the length of the crust,
we will put the value of x=1.2,
So, the value of the approximate length of the crust would be:
=4x^2 + 26
= 4 * 1.2^2 + 26
= 22.76 centimetres.
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92.3- (3.2 ÷ 0.4) × 2³
Answer:
28.3
Step-by-step explanation:
To solve this problem, we must follow PEMDAS, which must be used in solving all mathematical equations and expressions.
PEMDAS is the order you solve the equation/expression in. It is an acronym for:
P: Parenthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
Keep in mind that multiplication and division are too be done left and right. You do not do multiplication first and division last, read left to right. Same goes with addition and subtraction.
This is the less confusing notation of PEMDAS.
P: Parenthesis
E: Exponents
M: Multiplication D: Division
A: Addition S: Subtraction
Now, lets solve the problem.
92.3 - (3.2 ÷ 0.4) × 2³
What do we do first? Well since parenthesis is first according to PEMDAS, we must solve the division in side of the parenthesis first.
3.2/0.4 = 8
Now we have:
92.3 - (8) × 2³
Remove the parenthesis as there is only one term inside and therefore not needed.
92.3 - 8 × 2³
What do we do next?
We have:
Subtraction: 92.3 - 8
Multiplication: -8 × 2³
Exponent: 2³
Because PEMDAS states exponents is to be solved in front of multiplication/division and addition/subtraction, we must do that.
What is an exponent?
2³
2 is the base, 3 is the exponent.
2³
Means multiplying 2 by itself 3 times:
2 × 2 × 2
8
Now we have:
92.3 - 8 × 8
Because PEMDAS states solving multiplication/division is prioritized over addition/ subtraction, we must solve 8 × 8
8 × 8 = 64
Now we have: 92.3 - 64
Solve.
28.3
5. about what percentage of the area under the normal distribution curve falls within 1 standard deviation above and below the mean? 2 standard deviations? 3 standard deviations?
Approximately 68% of the area under the normal distribution curve falls within 1 standard deviation above and below the mean. This is known as the empirical rule, also called the 68-95-99.7 rule.
Approximately 95% of the area under the normal distribution curve falls within 2 standard deviations above and below the mean.
Approximately 99.7% of the area under the normal distribution curve falls within 3 standard deviations above and below the mean.
It's important to note that these values apply to a standard normal distribution (mean = 0, standard deviation = 1). For any normal distribution with a different mean and standard deviation, you can use the standard score (z-score) to transform the data into the standard normal distribution, and then use the standard normal distribution to find probabilities.
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three times the sum of d and 4 is 32
Answer:
d=6 2/3 or 6.6666
Step-by-step explanation:
3(d+4)=32
3d+12=32
3d=32-12
3d=20
d=6 2/3 or 6.6666
Andrea put $52 in the savings account that pays 4% interest how much interest will she earn in one year
Answer: $2.08
Step-by-step explanation: First multiply $52 by 4% as a decimal or 0.04. Then, multiply that by the number of years.
=52(0.04)(1)
=2.08
60% of what number is equal to 307
Answer:
511.6
Step-by-step explanation:
Reverse the order in which you define 60%
x / .6 (or 60%) = 307
Reverse it to get;
307 = .6(x)
Solve for x;
307 / .6 = x / .6
511.6 = x
TA-DA! I hope this helped ^<^
Consider this graph of a line.
The linear equation of the line shown in the graph will be 3y +x= 0.
What is the Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
As we can observe in the given graph of lines,
the given line passes through the point (0, 0) origin and (-6, 2).
The slope-intercept form of the equation of a line
y=mx+b,
where m is the slope
b is the y-intercept
Since y-intercept is the value of y in line at x = 0
in our case, b = 0
since, slope = (y - y')/(x -x')
Slope = (2-0)/(-6-0)
Slope = 2/-6
Slope = -1/3
thus,
the equation of the line shown in the graph will be y = -1/3x
the equation of the line shown in the graph will be 3y +x= 0.
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a scientist claims that 7% of viruses are airborne. if the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 679 viruses would be greater than 8% ? round your answer to four decimal places.
The probability that the proportion of airborne viruses in a sample of 679 viruses would be greater than 8% is approximately 0.
To solve this problem,
Use the normal approximation to the binomial distribution.
We can assume that the sample proportion of airborne viruses follows a normal distribution with mean equal to the true proportion of 7% and standard deviation given by:
√(7%*(1-7%)/679) = 0.0155
Then, we want to calculate the probability that the sample proportion is greater than 8%.
Standardize the distribution as follows:
(z-score) = (sample proportion - true proportion) / std deviation (z-score)
= (8% - 7%) / 0.0155
= 64.52
Using a standard normal table, we can find the probability that a z-score is greater than 64.52, which is essentially 1.
Therefore, the probability of the sample proportion being greater than 8% is approximately 0.
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do the columns of a=[] form a linearly independant set? if the set is dependant, find the dependance relation.
If row-reducing the augmented matrix does not produce any non-zero entries in the right-hand side, then the columns of A are linearly independent.
To determine if the columns of matrix A form a linearly independent set, we need to check if the equation Ax = 0 has only the trivial solution x = 0.
Let's assume the given matrix A is:
A = [a1, a2, a3, ..., an]
If the columns of A are linearly independent, then the equation Ax = 0 has only the trivial solution.
To solve the equation Ax = 0, we set up the augmented matrix [A | 0] and row-reduce it:
[A | 0] =
[a1, a2, a3, ..., an | 0]
Row-reducing the augmented matrix will help us determine if there are any non-trivial solutions to the equation Ax = 0.
If row-reducing the augmented matrix leads to a row of zeros with a non-zero entry in the corresponding row of the right-hand side (0), then the columns of A are linearly dependent, and there exists a non-trivial solution.
If row-reducing the augmented matrix does not produce any non-zero entries in the right-hand side, then the columns of A are linearly independent.
By performing row operations on the augmented matrix [A | 0] and examining the resulting row echelon form, we can determine if the columns of A are linearly dependent or independent and find the dependence relation if they are dependent.
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The value of a two digit number whose units digit is u and the sum of the digits is 7
write an algebraic expression
Answer:
The expression is 70 - 9 u .
Step-by-step explanation:
Digit at ones place = u
Let the digit at tens place is y.
Sum of the digits is 7.
y + u = 7
y = 7 - u
So, the number is
10 y + u
= 10 (7 - u) + u
= 70 - 10 u + u
= 70 - 9 u
Anyone help please anyone
a normal distribution has a mean of 133 and a standard deviation of 10. find the z-score for a data value of 119.
The z-score for a data value of 119 is equal to -1.4.
The z-score is a numerical measurement used in statistics to determine the sample data value's relationship to the mean of a group of values, measured in terms of standard deviation from the mean. It is measured as the difference of the sample data value and the sample mean over the standard deviation, such that
z-score = (x – μ) / σ
where x = sample data value
μ = mean
σ = standard deviation
Based on the problem, the sample data value is 119, the mean is 133, and the standard deviation is 10. Substitute these values into the equation and solve for the z-score.
z-score = (x – μ) / σ
z-score = (119 - 133) / 10
z-score = -14 / 10
z-score = -1.4
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The Gardening Club is looking to build a new greenhouse at their school with the dimensions shown below.
Volume and circles !
Answer:
a) 2,400 ft^3
b) 1,413 ft^3
c) 3,813 ft^3
Step-by-step explanation:
First, two general equations:
For a rectangular prism of length L, width W and height H, the volume is:
V = L*W*H
And for a cylinder of radius R and height H, the volume is:
V = pi*(R^2)*H
where pi = 3.14
a) First we want to find the area of the rectangular part.
We can see that the measures are:
H = 8ft
W = 12ft
L = 25ft
Then the volume of this part is:
V = (8ft)*(12ft)*(25ft) = 2,400 ft^3
b) For the half-cylinder, we can see that we have a diameter of 12ft (then has a radius of 12ft/2 = 6ft) and a height of 25ft
R = 6ft
H = 25ft
Then the volume of this part will be half of the volume of a cylinder with these dimensions, so here we have:
V' = (3.14*(6ft)^2*25ft)/2 = 1,413 ft^3
c) The total volume is just the sum of the two volumes we found above, this is:
Volume = V + V' = 2,400 ft^3 + 1,413 ft^3 = 3,813 ft^3
help pls i cant figure this out
Answer:
answer is 1 metre
Step-by-step explanation:
We can assume the width be 'x'
Now we would get the equation
(2x+10)(2x+14)=192
on solving we get x=1
ISABELRAINBOW PLEASE ANSWER BOTH THESE
BAHAHA I SAW MY NAME AND GOT SO SCARED
1st problem: 6/y^4
first, we express it with positive exponents.
6 x 1/y^4
then, we just calculate it.
6/y^4
2nd problem: (1/64)a^7 (the a^7 isn't just on the bottom part, it goes in the front of the fraction)
first, i expressed it with a positive exponent.
1/8^2 x a^7
then, i evaluated that.
(1/64)a^7
Create and solve the EQUATION. 4. The sum of seven times a number and 16 is 163.
An equation for this statement "The sum of seven times a number and 16 is 163," is 7n + 16 = 163.
The solution is 21.
How to determine the two unknown numbers?In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:
Let the variable n represent the unknown number.
Based on the statement "The sum of seven times a number and 16 is 163," we can logically deduce the following algebraic equation;
7n + 16 = 163
7n = 163 - 16
7n = 147
n = 147/7
n = 21.
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In a class of 25 students, the pass rate was
4:1. Calculate the
number of students who failed.
Answer:
mark me as brainliest
Step-by-step explanation:
okok so first 25 divided by five bc 4+1 in the ratio is five.
then 4 times 5 = 20.
which leaves 25 - 20 = 5. tah-duh!
Answer:
5 is the number of the students who failed
Step-by-step explanation:
4+1=5
25/5=5
4x5= 20 are passed
1x5=5 are failed
hope it helps<33
find the value of x in the triangle.
Answer:
The answer is 36°.
Hope it helps.
Step-by-step explanation:
• • •
In a highschool league, there were 256 touchdowns made last year. If 64 games were played, what is the mean, or the average, number of touchdowns made per game?
Answer:
4 per game
Step-by-step explanation: