Answer:
25 and 480
Step-by-step explanation:
A number time 5 less that number has a product of -4. What are the two numbers?
Let the first number be x.
The second number is 5 times less than x => x - 5
Therefore, we can write the statement as
\(\begin{gathered} x\times(x-5)=-4 \\ x^2-5x=-4 \\ \therefore \\ x^2-5x+4=0 \end{gathered}\)Solving the quadratic equation:
Let us replace -5x in the equation with -4x and -x to be able to factorize.
Hence,
\(\begin{gathered} x^2-4x-x+4=0 \\ x(x-4)-1(x-4)=0 \\ (x-4)(x-1)=0 \\ \text{Therefore} \\ x-4=0\text{ } \\ or \\ x-1=0 \end{gathered}\)Hence,
\(\begin{gathered} x=1 \\ or \\ x=4 \end{gathered}\)Therefore, the number can be 1 or 4.
The second number can be
\(\begin{gathered} 1-5=-4 \\ or \\ 4-5=-1 \end{gathered}\)Therefore, the pair of numbers can be
\((1,-4)\text{ or (4, -1)}\)Use point-slope form to write an equation of the given line. Solve the equation for y.
у
Х
A(-1,2) B(3,1) C(1,-4) To the new coordinated A'(-2,4) B'(6,2) C'(2,-8) what was the scale factor?
Answer:
Step-by-step explanation:
A(-1, 2) ==> A'(-2, 4)
B(3,1) ==> B'(6,2)
C(1,-4) ==> C'(2,-8)
Based on the results of each set, the scale factor is 2
A(-1*2, 2*2)= A'(-2, 4)
Stock in boomer branding inc started the week at $26.50 per share during the week the following changes in the share price were registered
Answer:33333333333333333333333333333333333
Step-by-step explanation: This isnt the answer i need points
One of the main criticisms of differential opportunity theory is that
a. it is class-oriented
b. it only identifies three types of gangs
c. it overlooks the fact that most delinquents become law-abiding adults
d. it ignores differential parental aspirations
The main criticism of differential opportunity theory is that it overlooks the fact that most delinquents become law-abiding adults (option c).
Differential opportunity theory, developed by Richard Cloward and Lloyd Ohlin, focuses on how individuals in disadvantaged communities may turn to criminal activities as a result of limited legitimate opportunities for success.
However, critics argue that the theory fails to account for the fact that many individuals who engage in delinquency during their youth go on to become law-abiding adults.
This criticism highlights the idea that delinquent behavior is not necessarily a lifelong pattern and that individuals can change their behavior and adopt prosocial lifestyles as they mature.
While differential opportunity theory provides insights into the relationship between limited opportunities and delinquency, it does not fully address the complexities of individual development and the potential for desistance from criminal behavior.
Critics suggest that factors such as personal growth, social support, rehabilitation programs, and the influence of life events play a significant role in individuals transitioning from delinquency to law-abiding adulthood.
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express as a trinomial
(2x-3)(3x-3)
your answer os 8 hope it works
Select the correct answer.
an experiment observing the growth of two germ strand populations finds these patterns.
• the population of the first germ is represented by the function a(x) = (1. 3)+9
• the population of the second germ is represented by the function b(t) = (1. 3)45+1
which function best represents function r, the ratio of the population of the second germ to the population of the first germ?
Answer:
the
• the population of the first germ is represented by the function a(x) = (1. 3)+9
The wheels of a car are of radius 40cm each, if the car is travelling at a speed of 66km/h, find the number of revolutions made by each wheel in 20 minutes
Answer: Each wheel makes 437.5 revolutions in 20 mins
Step-by-step explanation:
Circumference = 2πr
Given that the radius is 40 cm
Circumference = 2π(40) = 80π cm
Find the distance traveled in 20 mins
Speed = 66 km/h
1 hour = 66 km
Rewrite hour into min
60 min = 66 km
1 min = 66 ÷ 60 = 1.1 km
Rewrite km in cm
1.1 km = 1.1 x 10,000 cm = 110,000 cm
Find the number of revolutions in 20 mins:
1 revolution = 80π cm
Number of revolution = 110,000 ÷ 80π = 437.5
Which of the following statements is TRUE? Select ALL that apply. ln( y
x
)= ln(y)
ln(x)
log 5
(xy)=log 5
(x)⋅log 5
(y)
log 2
( y
x
)=log 2
(x)−log 2
(y)
log 4
(xy)=log 4
(x)+log 4
(y)
log b
( 4
1
)=−log b
(4)
log(x+y)=log(x)+log(y)
The correct statements are:
ln( yx)= ln(y)ln(x)
log 5(xy)=log 5(x)⋅log 5(y)
log 2( yx)=log 2(x)−log 2(y)
log 4(xy)=log 4(x)+log 4(y)
How to determine the correct statementsThe true statements from the given options are:
1. ln( yx) = ln(y)ln(x) (This is the property of logarithms known as the power rule for natural logarithms.)
2. log 5(xy) = log 5(x)⋅log 5(y) (This is the product rule for logarithms with base 5.)
3. log 2( yx) = log 2(x)−log 2(y) (This is the quotient rule for logarithms with base 2.)
4. log 4(xy) = log 4(x)+log 4(y) (This is the product rule for logarithms with base 4.)
Therefore, the true statements are:
ln( yx)= ln(y)ln(x)
log 5(xy)=log 5(x)⋅log 5(y)
log 2( yx)=log 2(x)−log 2(y)
log 4(xy)=log 4(x)+log 4(y)
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(10^2 )^3
i need some help
Answer: 10^6
Step-by-step explanation:
When you take a power to a power, you can multiply the two powers:
10^6
Answer:
10^6 hope this helps you
If a hospital patient is given 100 milligrams of medicine, which leaves the bloodstream at 14% per hour, how many milligrams of medicine will remain in the system after 10 hours? Use the function A(t) = Iert. 24. 66 mg 86. 94 mg 90. 48 mg 405. 52 mg.
talia is buying beads to make bracelets. she makes a bracelet with 7 plastic beads and 5 metal beads for $7.25. she makes another bracelet with 9 plastic beads and 3 metal beads for 6.75$. write and solve a system of equations using elimination to find the price of each bead
The price of each plastic bead is $0.75 and the price of each metal bead is $1.25.
Let's assume the price of a plastic bead is 'p' dollars and the price of a metal bead is 'm' dollars.
We can create a system of equations based on the given information:
Equation 1: 7p + 5m = 7.25 (from the first bracelet)
Equation 2: 9p + 3m = 6.75 (from the second bracelet)
To solve this system of equations using elimination, we'll multiply Equation 1 by 3 and Equation 2 by 5 to make the coefficients of 'm' the same:
Multiplying Equation 1 by 3:
21p + 15m = 21.75
Multiplying Equation 2 by 5:
45p + 15m = 33.75
Now, subtract Equation 1 from Equation 2:
(45p + 15m) - (21p + 15m) = 33.75 - 21.75
Simplifying, we get:
24p = 12
Divide both sides by 24:
p = 0.5
Now, substitute the value of 'p' back into Equation 1 to find the value of 'm':
7(0.5) + 5m = 7.25
3.5 + 5m = 7.25
5m = 7.25 - 3.5
5m = 3.75
Divide both sides by 5:
m = 0.75
Therefore, the price of each plastic bead is $0.75 and the price of each metal bead is $1.25.
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Mrs. Morales' Spanish class starts at 11:25 am. The class is 50 minutes long. When does it end?
Answer:
12:15 pm.
Step-by-step explanation:
If Mrs. Morales' Spanish class starts at 11:25 am and is 50 minutes long, it will end 50 minutes after it starts.
To find the end time, you can add 50 minutes to the start time of 11:25 am.
11:25 am + 50 minutes = 12:15 pm
Therefore, Mrs. Morales' Spanish class ends at 12:15 pm.
Can someone explain how to do this but don’t give me the answer.
Show your work!
Answer: 1/5 * 1/4 = a
Step-by-step explanation: Ok, so 5/5 = 1 whole. So that is the reason why the square is divided into 20 small squares. Dividing fractions is the same as multiplying by its recriplical. Ex. 2 divided by 1/4. First we would do 2/1 divided by 1/4, since a whole can be put on top of 1. So in your case that would be 4/1. Then we do 2/1 * 4/1. As you can see 1/4 is flipped because dividing is the same as multiplying by the reciprocal. So in your case that would be 1/5 * 1/4 = a
find the value of each trigonometric ratio
The trigonometric relations from the triangles are
a) tan A = 5/12
b) sin C = 3/5
c) cos X = 3/5
d) sin Z = 4/5
e) tan Z = 4/3
f) tan X = 12/5
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
a)
The triangle is ΔABC
tan A = opposite side / adjacent side
Substituting the values in the equation , we get
tan A = 10/24
tan A = 5/12
b)
The triangle is ΔABC
sin C = opposite side / hypotenuse
Substituting the values in the equation , we get
sin C = 24/40
sin C = 3/5
c)
The triangle is ΔXYZ
cos X = adjacent side / hypotenuse
Substituting the values in the equation , we get
cos X =21/35
cos X = 3/5
d)
The triangle is ΔXYZ
sin Z = opposite side / hypotenuse
Substituting the values in the equation , we get
sin Z = 32/40
sin Z = 4/5
e)
The triangle is ΔXYZ
tan Z = opposite side / adjacent side
Substituting the values in the equation , we get
tan Z = 28/21
tan Z = 4/3
f)
The triangle is ΔXYZ
tan X = opposite side / adjacent side
Substituting the values in the equation , we get
tan X = 12/5
Hence , the trigonometric relations are solved from the triangles
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Consider the two statements below: Statement 1: ∀x ∈ Z+, [(2x + 1 > 3) ⋁ (2x2 – 1 ≥ 1)] Statement 2: ∃x ∈ Z, [(x2 – 1 < 0) ∧ (2x - 2 ≥ 0)] It is true that both statements 1 and 2 are false?
a. True
b. False
Both statements 1 and 2 are false.
Statement 1: ∀x ∈ Z+, [(2x + 1 > 3) ⋁ (2x^2 – 1 ≥ 1)]
To evaluate this statement, we need to consider all positive integers (Z+) and check if either of the conditions within the brackets is true for each value of x. However, upon closer examination, we can see that neither condition is satisfied for any positive integer. For the first condition, 2x + 1 > 3, no positive integer value of x makes this inequality true. Similarly, for the second condition, 2x^2 – 1 ≥ 1, none of the positive integers satisfy this inequality. Therefore, statement 1 is false.
Statement 2: ∃x ∈ Z, [(x^2 – 1 < 0) ∧ (2x - 2 ≥ 0)]
In this statement, we are looking for the existence (∃) of an integer (Z) value of x that satisfies both conditions within the brackets. For the first condition, x^2 – 1 < 0, we need to find an integer value of x for which this inequality holds true. However, there are no integer solutions to this inequality. For the second condition, 2x - 2 ≥ 0, we can rewrite it as 2(x - 1) ≥ 0, which is true when x ≥ 1. Since we couldn't find any integer value of x that satisfies both conditions simultaneously, statement 2 is also false.
Therefore, both statement 1 and statement 2 are false.
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What is the radius of convergence of a power series function?
The radius of convergence of a power series function is a positive real number R that determines the interval of values for which the power series converges.
It represents the distance from the center of the power series expansion, within which the series converges. The radius of convergence is determined by the properties of the coefficients in the power series. Specifically, it is defined as the reciprocal of the limit superior of the absolute values of the coefficients. Mathematically, if we have a power series function of the form:
f(x) = ∑(n=0 to ∞) aₙ(x - c)ⁿ
where aₙ represents the coefficients and c is the center of the series, then the radius of convergence R is given by:
R = 1 / lim sup |aₙ|^(1/n)
The power series converges for all values of x within the interval (c - R, c + R). If |x - c| > R, the series diverges.
It's important to note that the radius of convergence can be zero, indicating that the power series only converges at the center point (x = c), or it can be infinite, indicating that the series converges for all values of x.
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When solving 389 : 6=, what is the remainder
4
5
6
2
the given curve is rotated about the y-axis. find the area of the resulting surface. x2⁄3 y2⁄3 = 9, 0 ≤ y ≤ 27
To find the area of the resulting surface when the curve x^(2/3) y^(2/3) = 9 is rotated about the y-axis within the interval 0 ≤ y ≤ 27, we can use the surface area formula for revolution.
The area can be computed by integrating the surface area element along the curve and then evaluating the integral over the given interval.
To calculate the surface area, we use the formula for the surface area of revolution, which states that the surface area is equal to the integral of 2πy ds, where ds represents the infinitesimal element of integral along the curve.
First, we rewrite the equation x^(2/3) y^(2/3) = 9 in terms of y to isolate y: y = (9/(x^(2/3)))^(3/2).
Next, we calculate ds using the formula for arc length: ds = √(1 + (dy/dx)^2) dx.
Taking the derivative of y with respect to x, we find dy/dx = \((-9x^(-5/3))/(2x^(-1/3)) = -9/(2x).\)
Substituting this value into the expression for ds, we have ds = √(1 + (-9/(2x))^2) dx.
Now, we can set up the integral for the surface area:
Surface Area = ∫[from x = 1 to x = 27] 2πy ds
Substituting the expressions for y and ds, the integral becomes:
Surface Area = ∫[from x = 1 to x = 27] \(2π(9/(x^(2/3)))^(3/2) √(1 + (-9/(2x))^2)\)dx.
Evaluating this integral will give us the area of the resulting surface.
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Find the circumference and area of the circle. Use 3.14 for A. Round to the nearest hundredth if necessary.
12 m
.
The circumference of the circle is about
m.
The area of the circle is about
m?
Answer:
area= 452.39
circumference= 75.40
Step-by-step explanation:
circumference is equal to 2 * pi * r
area is equal to pi * r^2
circumference = 2 * pi * 12 = 75.40
area = pi * 12^2 = 452.39
hope this helps!
Anyone think they can help me on this ?
Answer:
The third one
Step-by-step explanation:
x-5y=6
x-5y+5y=6+5y
x=5y+6
somebody please help it has been half an hour and no one has answerd my quesion :(
Step-by-step explanation:
incorrect question I think as x got eliminated while the question is solved
if you wanted to examine whether the degree of parental involvement differs based on students’ grade in school (i.e., first, second, third, etc.), what is the dependent variable of interest?
The dependent variable of interest in examining whether the degree of parental involvement differs based on students' grade in school is the degree of parental involvement.
In this scenario, the independent variable is the students' grade in school (i.e., first, second, third, etc.). The dependent variable is the variable that is expected to be influenced by the independent variable. In this case, the dependent variable of interest is the degree of parental involvement.
The degree of parental involvement refers to the level or extent to which parents are engaged in their child's education and school-related activities. It can encompass various aspects, such as attending parent-teacher meetings, volunteering at school, helping with homework, and participating in school events.
By examining whether the degree of parental involvement differs based on students' grade in school, researchers or educators aim to explore any potential patterns or differences in parental involvement as children progress through different grade levels. This investigation can provide insights into how parental involvement may vary across grade levels and inform strategies to enhance parental engagement in education at specific stages of a child's schooling. Thus, the dependent variable of interest is the degree of parental involvement.
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two pollsters will canvas a neighborhood with 20 houses. each pollster will visit 10 of the houses. how many different assignments of pollsters to houses are possible?
There are 92,378 different assignments of pollsters to houses where two pollsters will canvas a neighborhood with 20 houses.
There are 20 houses to choose from for the first pollster, and then 19 houses remaining for the second pollster.
However, since the order in which the pollsters visit the houses does not matter, we need to divide by the number of ways of arranging the 10 houses that each pollster will visit evaluated using probability.
Therefore, the total number of different assignments of pollsters to houses is:
(20 choose 10) * (10 choose 10) / 2! = (184,756) * (1) / 2 = 92,378
So there are 92,378 different assignments of pollsters to houses.
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select the correct answer. for an art project, a cone is covered with paper without any gaps or overlaps. the height of the cone is 28 inches and its diameter is 14 inches. what is the surface area of the covering to the nearest square inch?
The surface area of an art project having the height of the cone is 28 inches and its diameter is 14 inches is approximately 635 square inches to the nearest square inch.
To find the surface area of the cone, we need to find the slant height first.
Using the Pythagorean theorem, we can find the slant height:
r = diameter/2 = 14/2 = 7 inches
s = sqrt(r^2 + h^2) = sqrt(7^2 + 28^2) = 29 inches (approx)
Now we can find the surface area of the cone:
surface area = pi*r*s = 3.14*7*29 = 643.46 square inches (approx)
Therefore, the surface area of the covering to the nearest square inch is 643 square inches.
To find the surface area of the paper covering the cone, you'll need to consider both the lateral surface area and the base area.
However, since the base is not covered in paper, we'll only need to calculate the lateral surface area.
Given the height of the cone is 28 inches and its diameter is 14 inches, we can find the radius (r) as half of the diameter: r = 14 / 2 = 7 inches.
To find the lateral surface area, we need the slant height (l). We can use the Pythagorean theorem for this: l² = r² + h²
l² = 7² + 28²
l² = 49 + 784
l² = 833
l = √833 ≈ 28.84 inches
Now, we can calculate the lateral surface area (A) using the formula: A = π * r * l
A ≈ 3.14 * 7 * 28.84
A ≈ 634.5 square inches
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Answer:
Step-by-step explanation:
The surface area of an art project having the height of the cone is 28 inches and its diameter is 14 inches is approximately 635 square inches to the nearest square inch.
To find the surface area of the cone, we need to find the slant height first.
Using the Pythagorean theorem, we can find the slant height:
r = diameter/2 = 14/2 = 7 inches
s = sqrt(r^2 + h^2) = sqrt(7^2 + 28^2) = 29 inches (approx)
Now we can find the surface area of the cone:
surface area = pi*r*s = 3.14*7*29 = 643.46 square inches (approx)
Therefore, the surface area of the covering to the nearest square inch is 643 square inches.
To find the surface area of the paper covering the cone, you'll need to consider both the lateral surface area and the base area.
However, since the base is not covered in paper, we'll only need to calculate the lateral surface area.
Given the height of the cone is 28 inches and its diameter is 14 inches, we can find the radius (r) as half of the diameter: r = 14 / 2 = 7 inches.
To find the lateral surface area, we need the slant height (l). We can use the Pythagorean theorem for this: l² = r² + h²
l² = 7² + 28²
l² = 49 + 784
l² = 833
l = √833 ≈ 28.84 inches
Now, we can calculate the lateral surface area (A) using the formula: A = π * r * l
A ≈ 3.14 * 7 * 28.84
A ≈ 634.5 square inches
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a student in stat 121 wants to estimate the average score on the stat 121 final exam from last semester. they asked 200 students who took the class last semester what their final exam score was and recorded it. what is the sample?
If a student in stat 121 wants to estimate the average score on the stat 121 final exam from last semester. The sample is: The 200 students interviewed.
What is sample?Sample can be defined as the data or information that are randomly collected from a group of population so as to reach or drawn a conclusion.
Based on the scenario the sample will be the 200 students who took the class last semester as the 200 students were randomly selected from a larger population so as to reach a conclusion.
Therefore we can conclude that the sample is the 200 students interviewed.
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If Angel N = angel L, find the perimeter of AMLN.
A. 26
B. 28
C. 37
D. 41
Answer:
b would be the correct answer
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
The equation 3x − 6 = 2(x + 4) has solution(s).
The expression 3x − 6 = 2(x + 4) has one solution of x which is 10
x = 10How to solve the linear equationA linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph
For the given problem, 3x − 6 = 2(x + 4) the solution is sort as thus
3x − 6 = 2(x + 4)
expanding the parenthesis
3x − 6 = 2x + 4
collecting like terms by subtracting 2x from both sides and adding 6 on both sides will result to the equation below
3x - 2x = 6 + 4
x = 10
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Giving Brainiest ~~ :)
Answer:
28 meters cubed
Step-by-step explanation:
V = 1/3 BH
V = 1/3 (4)(21)
V = 28
Hope this helped :))
have a great day :D <3
The number name of 70080067
In Indian System
Answer:
Seven crore eighty thousands sixty-seven.
Step-by-step explanation:
70080067
Seven crore eighty thousands sixty-seven.