judy is twice as old as adaml, but 6 years ago she was 5 times as old as he was. How old is judy now
Answer:
16
Step-by-step explanation:
Age problems can be solved by expressing the given relationships in math terms, then solving the resulting equation(s). Let J represent Judy's age now. Then Adami's age now is J/2. Six years ago, the relationship was ...
(J -6) = 5(J/2 -6)
J -6 = 2.5J -30
24 = 1.5J
16 = J
Judy is now 16 years old.
__
Additional comment
Adami is 8 now. 6 years ago, Judy was 10 and Adami was 2.
Here is an alternate approach. Let 'a' represent Adami's age 6 years ago. The relationship at present is ...
2(a+6) = 5a +6
6 = 3a . . . . . . . . . simplify, subtract 2a+6
2 = a ⇒ 5a+6 = 16
The diameter of a circle is 9.6 feet what is the area code ?
Answer:
Area = π\(4.8^{2}\)
Step-by-step explanation:
In order to find the radius, you must divide the diameter by 2:
\(r = \frac{9.6}{2} = 4.8\)
Area of a circle:
A = π\(4.8^{2}\)
A = 72.38 ft^2
how are slopes different from each other?
Answer:
the slope is the rise over run so how ever many up it goes over how far side to side it goes these numbers are fractions and will very based on the rise over run.
Step-by-step explanation:
You have attempts remaining Mr. Wutz owns hot dog business named 'Wutz upDogs.' The daily profit function, dollars; when hot = dogs= are sold given (65' 7)(s? by P(e) Evaluate P' (6). P'(5) dollars per hot Jop
The value of P'(5) = 65 and P'(6) = 65.
Mr. Wutz owns a hot dog business called 'Wutz upDogs.' The daily profit function is given by P(x) = 65x + 7, where x is the number of hot dogs sold.
To evaluate P'(6), the derivative of P(x) at x = 6, we need to use the power rule for derivatives. The power rule states that d/dx(xn) = nxn-1. Therefore, P'(6) = 65(6)1 = 65 dollars per hot dog.
To evaluate P'(5), the derivative of P(x) at x = 5, we use the same power rule. Therefore, P'(5) = 65(5)1 = 65 dollars per hot dog.
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What is an interest group in AP Gov?
Interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.
What are interests groups?Higher Placement The College Board's Advanced Placement Program makes a college-level course and exam in United States Government and Politics available to high school students.
By organizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues, interest groups enable citizen participation in governance.
a group of individuals united by a shared interest or objective and working to sway public policy. group leaders. As adolescents gain knowledge, they frequently form their own groups. government.
Therefore, interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.
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A high school football team has raised $1000 to spend on team jackets. The cost is $50 per jacket.
Which equation below can be used to solve for the number of jackets the team can buy? Explain.
A. 50 = 1000n
B. 50n = 1000
C. 1000n = 50n
Answer:
a
Step-by-step explanation:
2,994 divided by 128 i need help
Answer:
Divide 320 by 128 to get 2
23.39062
128| 2994.00000
256
____
434
384
_____
500
384
_____
1160
1152
____
80
0
___
800
768
_____
320
256
_____
64
Stopping at 5 decimal places
The solution for Long Division of 2994/128 is 23.39062
23.39062
How do you convert cm into mL?
Answer:divideing by the whole number
Step-by-step explanation:
what is the slope of a line that is perpendicular to y = 2x + 3
a. 2
b. -2
c. 1/2
d. -1/2
Answer: The answer is: a
if kathy had 1700 apples and split with her 4 friends. and then one friend give her back 15 apples. and she gives then 1 apple back. how. much does she have.
Answer:
439
Step-by-step explanation:
1700/4=425
15-1=14
425+14=439
the chemical ________ can be used to trace the paths of afferent axons.
The chemical tracer commonly used to trace the paths of afferent axons is called "biocytin."
Afferent nerve fibers are axons (nerve fibers) of sensory neurons that carry sensory information from sensory receptors to the central nervous system. Many afferent projections arrive at a particular brain region. Afferent nerve fiber.
The chemical tracer commonly used to trace the paths of afferent axons is called "biocytin." Biocytin is a modified form of biotin that can be taken up by neurons and transported along their axons. It is often injected into a specific region of interest and allowed to diffuse throughout the neural tissue. Afferent axons originating from the injected area can then take up and transport the biocytin, allowing researchers to visualize and study their pathways using various histological techniques, such as immunohistochemistry or avidin-biotin complex staining.
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Find the next two terms in the pattern A,A,B,A,C,A,D,A
Answer:
E, A, F, A
Step-by-step explanation:
A,A
B,A
C,A
D,A
E,A
F,A
A clothing bought a shirt from a manufacturer for $85 and marked up the price by 10% . A month later the store reduced the shirts price by 10% . What was the shirts price after that reduction
Answer: The shirt's price after reduction = $ 84.15
Step-by-step explanation:
Given: Price of shirt= $ 85
Marked up percent = 10%
Reduced percent = 10%
Price after mark up = (Price of shirt) + 10% of (Price of shirt)
= $ (85+10% x 85)
= $ (85+(0.1) x (85))
= $ (85+8.5)
= $ 93.5
Price after 10% reduction = (Price after mark up)- 10% of (Price after mark up)
= $ (93.5-0.1 x 93.5)
= $ (93.5-9.35)
= $ 84.15
Hence, the shirt's price after reduction = $ 84.15
What is the sum of the first eight terms of the geometric series 2 + 6 + 18 + 54+ ...? 510 3,280 6,560 4,374
Answer:
6,560
Step-by-step explanation:
Answer:
6,560
Step-by-step explanation:
We are given the first four terms of the sequence:
2, 6, 18, 54, ...
We need to find another four terms to find the sum.
I don't know how to explain how I got the pattern but you have to multiply by 3:
2 * 3 = 6
6 * 3 = 18
18 * 3 = 54
To find the next term, we will multiply 54 by 3:
54 * 3 = 162
2, 6, 18, 54, 162, ...
We now have 5 terms.
Next, multiply 162 by 3:
162 * 3 = 486
2, 6, 18, 54, 162, 486, ...
We now have 6 terms.
Next, multiply 486 by 3:
486 * 3 = 1458
2, 6, 18, 54, 162, 486, 1458, ...
We now have 7 terms.
Lastly, multiply 1458 by 3:
1458 * 3 = 4374
2, 6, 18, 54, 162, 486, 1458, 4374, ...
We now have the first 8 terms.
Now, we add all these numbers together:
2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 = 6560
The sum of the first eight terms of the geometric sequence is 6,560
The cost of a banquet at Nick's Catering is $215 plus $27.50 per person. If
the total cost of a banquet was $2827.50, how many people were invited?
Answer:
x = 95
Step-by-step explanation:
Given that,
The cost of a banquet at Nick's Catering is $215 plus $27.50 per person
The total cost of a banquet was $2827.50
We need to find the number of people invited. Let there are x people. So,
215+27.5x = 2827.50
27.5x = 2827.50 -215
27.5x = 2612.5
x = 95
So, there are 95 people that were invited.
Kyle took a total of 9 pages of notes during a 3hr class. How many hours of class will it take for Kyle to take 12 pages of ntoes?
Answer:
4 hours
Step-by-step explanation:
9÷3=1
1 hour for 3 pages
12÷3= 4
4 hours
What is the vertex of the graph of f x )=[ x 5 ]- 6?
The vertex of the graph of f(x) = |x - 5| - 6 is (5, -6). It lies in the fourth quadrant.
Therefore the answer is (5, -6).
The graph f(x) = |x - 5| - 6 is symmetrical about the axis x = 5.
A vertex of a graph is a node of a graph. For a graph of the form f(x) = a|x - h| + k, the vertex is (h, k). So in this case where f(x) = |x - 5| - 6, a = 1, h = 5 and k = -6. Therefore the vertex of the given graph f(x) is
(5, -6)
--The question is incomplete, answering to the question --
"What is the vertex of the graph of f(x) = |x - 5| - 6?"
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help..564 patrons can borrow up to 6 books. If all the patrons are currently holding on to 6 books each, how many books are left in the library?
Answer:
3,384
Step-by-step explanation:
So this is a classic multiplication problem. If each patron has 6 books, and there's 564 patrons, you multiply:
564 x 6 = 3,384
hope this helps:D
random sampling is most important to which research method?
Random sampling is most important to quantitative research methods.
Quantitative research relies on collecting numerical data and analyzing it statistically to draw conclusions about a population. Random sampling is a crucial aspect of quantitative research as it ensures that the sample selected is representative of the population being studied. By randomly selecting participants or data points from the population, researchers can minimize bias and increase the generalizability of their findings.
This allows them to make accurate inferences about the larger population based on the characteristics observed in the sample. Random sampling helps to reduce the potential for selection bias and ensures that each member of the population has an equal chance of being included in the sample, which enhances the validity and reliability of the research results.
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A slab 150 PCF concrete is to be poured 20 feet above an existing floor at depth of 6 inches at a temp of 90 degrees and a pure rate of 10 feet per hour. what is the expected VERTICAL load? a) 943.333 PSF b) 943.333 PCF c) 150 PSF d) 75 PCF e) 75 PSF
The correct answer to the question is option d) 75 PCF.
To calculate the expected vertical load, we need to consider the weight of the concrete slab and the additional load due to the concrete's temperature and pouring rate. The weight of the slab can be calculated by multiplying the density of the concrete (150 PCF) by the depth (6 inches) and the area (1 square foot). This gives us a weight of 75 pounds per square foot (PSF).
The temperature and pouring rate do not directly affect the vertical load. The temperature and pouring rate are factors that may affect the structural integrity of the slab or the time it takes for the concrete to fully cure. However, they do not contribute to the actual load borne by the slab itself. Therefore, the correct answer is 75 PCF, as it represents the weight of the concrete slab alone.
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What is the constant of proportionality?
Answers in bold
\(\begin{array}{|c|c|} \cline{1-2}\text{number of rolls} & \text{number of people}\\\cline{1-2}1 & \boldsymbol{0.5}\\\cline{1-2}6 &3\\\cline{1-2}10 & \boldsymbol{5}\\\cline{1-2}16 & \boldsymbol{8}\\\cline{1-2}25 & \boldsymbol{12.5}\\\cline{1-2}n & \boldsymbol{0.5n}\\\cline{1-2}\end{array}\)
How many people will 10 spring rolls feed? 5What is the constant of proportionality? 0.5Write an equation to represent the number of people fed by the spring rolls. Equation is y = 0.5x========================================================
Explanation:
The given table looks like this
\(\begin{array}{|c|c|} \cline{1-2}\text{number of rolls} & \text{number of people}\\\cline{1-2}1 & \\\cline{1-2}6 & 3\\\cline{1-2}10 & \\\cline{1-2}16 & \\\cline{1-2}25 & \\\cline{1-2}n & \\\cline{1-2}\end{array}\)
Focus on the row that has two values in it.
x = number of rolls = 6
y = number of people 3
k = constant of proportionality
y = kx
k = y/x = 3/6 = 0.5
The constant of proportionality is k = 0.5 which gives the direct variation equation of y = 0.5x
If x = 1, then y = 0.5*1 = 0.5 meaning that 1 roll feeds 0.5 people. This means we need 2 rolls to feed one person.
If x = 10, then y = 0.5x = 0.5*10 = 5 people can be fed with those 10 rolls. This process is continued until we finish filling out the table.
PLEASE ANSWER THE QUESTION CORRECTLY!!!!!!!!!!!!
Answer: -2,2
Step-by-step explanation:
The top question. X= y= z=
Answer:x=76, y=76,z= 56
Step-by-step explanation:
What is the measure of angle B in degrees?
Answer:119
Step-by-step explanation:
edge 2021
divide 10625base8 by 137base
The final result is approximately 57 remainder 0.252608 in base 8.
To divide 10625 base 8 by 137 base 8, we can convert the numbers to base 10, perform the division, and then convert the result back to base 8.
Let's convert the numbers to base 10 first:
\(10625 base 8 = 1 \times 8^4 + 0 \times 8^3 + 6 \times 8^2 + 2 \times 8^1 + 5 \times 8^0\)
= 4096 + 0 + 384 + 16 + 5
= 4501
\(137 base 8 = 1 \times 8^2 + 3 \times 8^1 + 7 \times 8^0\)
= 64 + 24 + 7
= 95
Now we can perform the division:
4501 / 95 ≈ 47.378947
Since we are working with base 8, we need to convert the result back to base 8. The integer part of the result will be the quotient, and the fractional part will be used to find the digits of the remainder.
Quotient: 47 base 8
Remainder: \(0.378947 \times 8 = 3.031576\) (approximately)
Converting the quotient and remainder back to base 8:
Quotient: 47 base 8 =\(5 \times 8^1 + 7 \times 8^0 = 57\)base 8
Remainder: \(0.031576 \times 8 = 0.252608\) (approximately)
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y = sin x / (1 + cos x) use the guidelines of this section to sketch the curve A. domain B. intercepts C. Symmetry D. Asymptotes E. Intervals of increase or decrease F. Local max and min values G. Concavity and points of inflection H. Sketch the curve Please show all work! I don' t understand this at all!
The function y = sin x / (1 + cos x) has a domain of all real numbers except for x = (2n + 1)π. It intersects the x-axis at x = nπ and the y-axis at y = 0. The function is symmetric about the y-axis. There is a horizontal asymptote at y = -1. It increases on intervals where -π/2 < x < π/2 and decreases on intervals where π/2 < x < 3π/2. There are no local maximum or minimum values. The concavity of the function changes at x = nπ and there are no points of inflection.
A. The domain of the function y = sin x / (1 + cos x) includes all real numbers except for values of x that make the denominator equal to zero. In this case, the denominator is 1 + cos x, which is equal to zero when cos x = -1. Solving for x, we find x = (2n + 1)π, where n is an integer. Therefore, the domain is all real numbers except for x = (2n + 1)π.
B. To find the x-intercepts, we set y = 0 and solve for x. Setting sin x / (1 + cos x) = 0, we have sin x = 0. This equation is satisfied when x = nπ, where n is an integer. Hence, the function intersects the x-axis at x = nπ. The y-intercept is found by substituting x = 0 into the function, which gives y = 0 / (1 + 1) = 0.
C. The function y = sin x / (1 + cos x) is symmetric about the y-axis. This can be observed from the fact that replacing x with -x in the function does not change its value.
D. There are no vertical asymptotes for this function since the denominator is never zero. However, as x approaches positive or negative infinity, the function approaches a horizontal asymptote at y = -1.
E. The function increases on intervals where -π/2 < x < π/2 because the value of sin x is positive and the value of cos x is always greater than or equal to -1. It decreases on intervals where π/2 < x < 3π/2 because the value of sin x is negative while the value of cos x remains greater than or equal to -1.
F. The function y = sin x / (1 + cos x) does not have any local maximum or minimum values since it is always changing and never reaches a maximum or minimum point.
G. The concavity of the function changes at x = nπ, where n is an integer. Specifically, the function changes from concave up to concave down or vice versa at these points. However, there are no points of inflection where the concavity changes from concave up to concave down or vice versa.
H. Based on the information above, we can sketch the curve of the function. The curve will be symmetric about the y-axis, intersecting the x-axis at x = nπ and the y-axis at y = 0. It will approach a horizontal asymptote at y = -1 as x approaches positive or negative infinity. The curve will increase on intervals where -π/2 < x < π/2 and decrease on intervals where π/2 < x < 3π/2. There are no local maximum or minimum points, and the concavity changes at x = nπ, but there
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Solve for x using any method!
4x – 9 = 15
a
x = 4
b
x = 1
c
x = 20
d
x=6
please hurryyyyyy
Answer:
d
Step-by-step explanation:
Answer:
D. x=6
Step-by-step explanation:
4x-9=15
Add 9 on both sides
Now the equation will be
4x=24
Divide 4 on both sides which will end up giving you
x=6
Please help!! I’m so behind
To find the area of a specific parallelogram, we need to know the length of its base and the height.
What is the area of the parallelogram?To find the area of a parallelogram, we multiply the base of the parallelogram by its height, where the height is the perpendicular distance between the base and its opposite side. So, the formula for the area of a parallelogram is:
Area = base x height
where the base and height are both expressed in the same units.
We know that the area of the parallelogram can be given as bh or absinα
Thus we have for each of the parallelograms shown;
1) 6 * 4 = 24 ft^2
2) 9 * 5 = 45 yd^2
3) 8 * 10 sin 45 = 56.6 cm^2
4) 5 * 11 sin 60 = 47.6 m^2
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The sum of two
numbers is 152 and
their difference is 40.
Find the two numbers.
Answer: The numbers are 96 and 56
Step-by-step explanation:
x+y=152
x-y=40
If you subtract the equations from one another, you will get
x+y=152
-(x-y)=40
So, 2y=112, making y=56
If you plug y=56 into x+y=152, you will get x=96
Classify a triangle whose side lengths are 8, 16, and 18
Answer:
scalene
Step-by-step explanation:
When all sides aren't equal.