Answer:
ASA
Step-by-step explanation:
the last angle if v vertical angles theorem
Please help! Easy! Does the function model exponential growth or decay? f(t)= 1/4 * 4^t a) growth b) decay
Answer:
a) growth
Step-by-step explanation:
f(t) = 1/4 × 4^t
let t = 2
f(2) = 1/4 × 4²
f(2) = 4
let t = 3
f(3) = 1/4 × 4³
f(3) = 16
As the value of t increases, the output increases, so the answer is a) growth.
1. given w(x)=4x
a. graph r(x)=4 x w(x). then complete the table of corresponding points on r (x).
Answer:
Step-by-step explanation:
a). When graph w(x) is transformed to r(x) = 4 × w(x), graph of w(x) is vertically stretched by a scale factor of 4.
Table for the corresponding points will be,
x w(x) r(x)
0 0 0×4 = 0
15 60 60×4 = 240
30 120 120×4 = 480
45 180 180×4 = 720
b). As discussed in part (a), graph of w(x) will be vertically stretched by a scale factor of 4 to produce the graph of r(x).
c). Since, w(x) = 4x
and r(x) = 4[w(x)]
r(x) = 4(4x) = 16x
r(x) = 16x
Someone plss help. I only need the answer to question 33.
The question number 33 have the measure of the unknown angle m∠CAF = 32°.
How to solve for the unknown angleWe are given the angle m∠EBG = 19°, and it is observed that m∠EBG and m∠EAF are the same, so;
m∠EBG = m∠EAF = 19°
Since m∠CAE = 51°, then unknown angle;
m∠CAF = m∠CAE - m∠EAF
m∠CAF = 51° - 19°
m∠CAF = 32°
Therefore, the unknown angle m∠CAF is equal to 32°.
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Find the p and q that produce the Pythagorean triple (3, 4, and 5). Please help me, please and thank you! =)
Answer:
Step-by-step explanation:
Given: the risk of dying today is 1 in 10,000, the risk of being hit and killed today if you ride a bicycle is 1 in 5,000, and the risk of dying today if you wear a safety belt and drive defensively is 1 in 20,000. What is the absolute risk of:
a. dying today
b. dying today if you ride a bike
c. dying today if you wear a seat belt and drive defensively
a) The absolute risk of dying today is 1/10,000, which is given in the question.
b) The absolute risk of dying today if you ride a bike is 1/5,000.
c) The absolute risk of dying today if you wear a safety belt and drive defensively is 1/20,000.
Given: The risk of dying today is 1/10,000, the risk of being hit and killed today if you ride a bicycle is 1/5,000, and the risk of dying today if you wear a safety belt and drive defensively is 1/20,000.Absolute risk is defined as the probability or chance of an event taking place.
It indicates the number of people who are expected to experience the event over a given period, typically a year. This is in contrast to the relative risk, which compares the chance of an event happening in one group with the likelihood of it occurring in another group.
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Bob's salary increased by 11% recently. Bob is
now earning $25.53 an hour. How much was
Bob earning before?
A penny-farthing is a bicycle with a very large front wheel and a much smaller back wheel. Penny-farthings were popular in the 1800s and were available in different sizes. Suppose the diameter of one particular penny-farthing's front wheel is inches and the ratio of the diameter of the front wheel to the diameter of the back wheel is :1. What is the circumference of the back wheel? Use 3.14 for. The circumference of the back wheel is nothing inches.
Answer:
The circumference of the back wheel is 2.62 inches
Step-by-step explanation:
Given
\(d_1 = 5in\) --- diameter of front wheel
\(d_1 : d_2 = 3:1\) --- ratio of the diameters
Required
The circumference of the back wheel
First, we calculate the diameter of the back wheel.
We have:
\(d_1 : d_2 = 3:1\)
Substitute: \(d_1 = 5in\)
\(5in: d_2 = 3 : 1\)
Express as fraction
\(\frac{d_2}{5in} = \frac{1}{3}\)
Make \(d_2\) the subject
\(d_2 =5in * \frac{1}{3}\)
\(d_2 = \frac{5}{3}\ in\)
So, the circumference (C) of the back wheel is:
\(C =\pi d\)
\(C = 3.14 * \frac{5}{6}\ in\)
\(C = \frac{3.14 * 5}{6}\ in\)
\(C = \frac{15.7}{6}\ in\)
\(C = 2.62\ in\)
What is the product of 180 and 170? HELP
Answer:
30600
Step-by-step explanation:
product is the answer to a multiplication problem
180 x 170= 30600
Can y’all help me please
Step-by-step explanation:
least value is q
greatest value is n-q
close to zero is q-n
It is known that 2x-3/x = x + 1 What is the value of x^2 -x + 3
The value of the equation x² - x + 3 is 37/9.
We have,
We can start by multiplying both sides of the equation by x:
2x - 3/x = x + 1
2x - 3 = x^2 + x
Rearranging and simplifying, we get:
x^2 - x + 3 = (2x - 3) + x^2
x^2 - x + 3 = x^2 + 2x - 3
-x + 3 = 2x - 3
5 = 3x
x = 5/3
Now we can substitute x into the equation x^2 - x + 3:
x^2 - x + 3 = (5/3)^2 - 5/3 + 3
x^2 - x + 3 = 25/9 - 15/9 + 27/9
x^2 - x + 3 = 37/9
Therefore,
The value of x² - x + 3 is 37/9.
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You are practicing 200-meter sprints, running them back-to-back. You are hoping to improve your time with each repetition, but instead find that your running time is longer with each repetition. Discouraged, you go home and rest. The next day, you run a 200-meter sprint and have your fastest time yet. What is a logical explanation for these results
Step-by-step explanation:
Resting is important for muscle regeneration.
FIRST ANSWER GETS BRAINLIEST!!!
Alistair Inc. shipped 32 packs of batteries to a retail store. Regular packs contain four batteries each, and super packs contain six batteries. A total of 166 batteries were shipped. How many regular packs were sent?
Answer:
Number of regular packs sent = 13
Step-by-step explanation:
Let,
x be the number of regular packs shipped
y be the number of super packs shipped
According to given statement;
x+y=32 Eqn 1
4x+6y=166 Eqn 2
Multiplying Eqn 1 by 4
4(x+y=32)
4x+4y=128 Eqn 3
Subtracting Eqn 3 from Eqn 2
(4x+6y)-(4x+4y)=166-128
4x+6y-4x-4y=38
2y=38
Dividing both sides by 2
\(\frac{2y}{2}=\frac{38}{2}\\y=19\)
Putting y=19 in Eqn 1
x+19=32
x=32-19
x= 13
Hence,
Number of regular packs sent = 13
7. Paul has 49 cups of water. Is this enough water to make 25 batches of green slime for a class project? Explain.
In ∠QRS, m∠R=65°, and m∠S=35°. Which side of ΔQRS is the longest?
Answer:
The longest side of the ΔQRS is Side RS.
Step-by-step explanation:
Given: m∠R=65°, m∠S=35° we don't know what m∠Q is in ΔQRS.
To find m∠Q , we first need to know that all triangles have a sum of 180°. Since we are already given two angle measurements ( m∠R and m∠S) we can add them both measurements up which gives us 100°. Then we subtract 100 from the triangle sum which is 180° (180°-100°) and we are left with 80°. Which mean that m∠Q got to be 80°.
Now we know the all the angles measurements we can immediately find out which side is the longest. To find the longest side its always lie opposite the largest angle which in this m∠Q (80°). Which mean that side RS is the longest side in the triangle.
solve the given initial-value problem. dy/dt 2(t+1)y2 = 0, y(0) = − 1/15 y(t) = 1/t^2 + 2t + 15Give the largest interval i on which the solution is defined. (enter your answer using interval notation.)
The largest interval on which the solution is defined is (-∞, -1) ∪ (-1, ∞). The interval notation for the largest interval is (-∞, -1) U (-1, ∞).
What is the initial-value problem?An initial-value problem is a type of boundary-value problem in mathematics, particularly in the field of differential equations.
The given initial-value problem is a separable differential equation, which can be written as:
dy/dt = -2(t + 1)y²
Integrating both sides, we get:
(1/y) = t² + 2t + C
where C is the constant of integration.
Since we have an initial condition, we can use it to find the value of C:
y(0) = -1/15
C = -1/15
Solving for C, we get:
C = -1/15
So, the solution to the differential equation is:
(1/y) = t² + 2t -1/15
y = 1 / (t² + 2t -1/15)
The solution is defined for all t ≠ -1, since y = 0 is not defined. So, the largest interval on which the solution is defined is (-∞, -1) ∪ (-1, ∞). The interval notation for the largest interval is (-∞, -1) U (-1, ∞).
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Which statements are true? Check all that apply
Solve for theta from [0, 2pi)
cos2theta = -1
Show work please
The solution for theta in the equation cos2theta = -1 in the range [0, 2π) is Ф = π/2
Solving for theta in the equationGiven the equation
cos2theta = -1
Express properly
cos(2Ф) = -1
Take the arc cos of both sides
So, we have
2Ф = π
Divide both sides by 2
Ф = π/2
Hence, the value of theta in the range is π/2
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E-mail attachment size: 10 MB
Attachments:
2 Photographs 1.4 MB each
Video 1.8 MB each
4 Spreadsheets 1.2 MB each
Answer:
there's nothing there?
(PLEASE HELP ASAP TYSM LOTS OF LOVE!<3)
A circle has a radius of 30 ft. Which of these is closest to its area?
A. 50 ft²
B. 100 ft²
C. 190 ft²
D. 705 ft²
E. 2,850 ft²
Answer:
E. 2,850 ft²
Step-by-step explanation:
Answer:
OptionE)
Step-by-step explanation:
Area of a circle = \(\pi r^{2}\)
\(3.14X30X30\)
= \(2826\)
Hence the closest is 2,850
samantha used craft wire to make the design shown. she first made the smaller quadrilateral. then she enlarged the smaller quadrilateral to make the larger quadrilateral, using a scale factor that extended the 6-centimeter side by 3 centimeters. what total length of craft wire did samantha use for both quadrilaterals?
The total length of craft wire used by Samantha is 10x + 9
What is the scale factor?
A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Let's call the length of the smaller quadrilateral's 6-centimeter side "x".
Then the length of the corresponding side in the larger quadrilateral would be 6+3=9 centimeters, since the scale factor is 3.
To find the total length of craft wire used, we need to add up the lengths of all the sides in both quadrilaterals.
The smaller quadrilateral has four sides, each with a length of x.
The larger quadrilateral also has four sides, but only one of them has a different length (9 cm), while the other three sides are simply 3 times longer than the corresponding sides in the smaller quadrilateral.
So the total length of craft wire used by Samantha is:
4x + 9 + 3x + 3x + 3x
Simplifying this expression, we get:
10x + 9
Hence, the total length of craft wire used by Samantha is:
10x + 9
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For 60 points and brainliest Guy’s Gym charges a one time fee of $100 plus $5 per month. Bob’s Gym charges a one time fee of $160 plus $8 per month. After how many months will both gyms charge the same amount?
Answer:
-20
Step-by-step explanation:
They're never going to be the same because Bob's Gym starts at a higher number and also increases by a larger number
Answer:
-20 months lol
Step-by-step explanation:
so the first step to this is to create and equation for each
for guys gym the equation would be 5x+100 and for bob's gym the equation would be 8x+160
because we want them to equal each other we write the equation
5x+100=8x+160 and solve for x to see how many months it will take for the gyms to charge the same amount
step 1 subtract 100 from each side
5x=8x+60
step 2 subtract 8 from each side
-3x=60
step 3 divide each side by -3
x=-20 it will take -20 week for them to charge the same amount
(i think there might of been a mistake in the question lol)
A particular fruit's weights are normally distributed, with a mean of 204 grams and a standard deviation of 16 grams. If you pick 23 fruits at random, then 7% of the time, their mean weight will be greater than how many grams
If we pick 23 fruits at random, then 7% of the time, their mean weight will be greater than 210.8 grams.
To solve this problem, we need to use the Central Limit Theorem, which states that the sampling distribution of the means of a random sample from any population will be approximately normally distributed if the sample size is large enough.
In this case, since we are picking 23 fruits at random, we can assume that the sampling distribution of the mean weight of the fruits will be approximately normal with a mean of 204 grams and a standard deviation of 16/sqrt(23) grams.
To find the weight of the fruits such that their mean weight will be greater than a certain amount 7% of the time, we need to find the z-score associated with that probability using a standard normal distribution table. The z-score can be calculated as:
z = invNorm(0.93) = 1.475
where invNorm is the inverse normal function. This means that the weight of the fruits such that their mean weight will be greater than this amount 7% of the time is:
x = 204 + 1.475*(16/sqrt(23)) = 210.8 grams (rounded to one decimal place)
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Need help ASAP due in 30 minutes!
can someone explain this to me please
You decide that you would prefer an indoor job. Use the algebraic rules you developed for the sales job in problem 1b and for the restaurant position in problem 3d to calculate how many hours you would have to work in each job to receive the same salary
By calculating H1 and H2, you can determine the number of hours you would have to work in each job to receive the same salary.
To calculate the number of hours you would have to work in each job to receive the same salary, we need the information about the salaries and hourly rates for each job. Since the information provided in the previous questions is not available, it is not possible to provide the specific calculations. However, I there is a general process:
1. Sales Job (Problem 1b):
In problem 1b, you were given the annual salary for the sales job and the hourly rate. Let's say the annual salary for the sales job is S1 and the hourly rate is R1.
To calculate the number of hours (H1) you would have to work in the sales job to receive the same salary, you can use the equation:
S1 = R1 * H1
You can rearrange the equation to solve for H1:
H1 = S1 / R1
Substitute the values for S1 and R1 from the problem to calculate H1.
2. Restaurant Position (Problem 3d):
In problem 3d, you were given the monthly salary for the restaurant position and the hourly rate. Let's say the monthly salary for the restaurant position is S2 and the hourly rate is R2. To calculate the number of hours (H2) you would have to work in the restaurant position to receive the same salary, you can use the equation:
S2 = R2 * H2
You can rearrange the equation to solve for H2:
H2 = S2 / R2
Substitute the values for S2 and R2 from the problem to calculate H2.
By calculating H1 and H2, you can determine the number of hours you would have to work in each job to receive the same salary.
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hola necesito ayuda con esto
Answer: bro i don't know that is on spanish
Step-by-step explanation:
Answer:
Sorry for that person who said he didn't know what the answer is.
Step-by-step explanation:
Please answer the following question :)
Answer:
top table
Step-by-step explanation:
consider some key coordinate points on the line
(- 2, 0 ) , (0, 3 ) , (2, 6 ) , (4, 9 )
these 4 points lie on the line and are included in the top table
5. Given that a + b = 8 and ab = 15, find the value of (a+b)² and a² + b²
Answer:
64 and 34
Step-by-step explanation:
Given
a + b = 8 ( square both sides )
(a + b)² = 8² = 64
------------------------------------------------
(a + b)² = 64 ← expand left side
a² + b² + 2ab = 64 ← substitute ab = 15
a² + b² + 2(15) = 64
a² + b² + 30 = 64 ( subtract 30 from both sides )
a² + b² = 34
Anna is ordering a taxi from an online taxi service. She has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far she travels. She wrote an equation to represent her total cost, y=3+2. 3xy=3+2. 3x, where yy represents the total cost in dollars and cents, and xx represents the number of miles she travels. What could the number 3 represent in the equation?.
Answer:
The number 3 represents the fixed cost in the equation which is the flat charge.
If f(x) = 3x-6 and g(x) = 1/3x+1, then (g(f))^-1 (x) equals.
1-x
1/3(3x-1)
(x+1)
(x-1)
We need to find the inverse of the function gof (x). First we need to find the composite function gof (x) which is given by:
\(g(f(x)) = g(3x - 6)\)
= \((1/3)(3x - 6) + 1\)
= x - 1 + 1
= x
Thus,
gof (x) = x.
Now we need to find the inverse of the function gof (x) to obtain
\((gof)^-1 (x).\)
We have gof (x) = x
which implies\((gof)^-1 (x)\)
= gof (x)^-1
= x^-1
= 1/x,
x ≠ 0
Therefore,
\((gof)^-1 (x) = 1/x\)
which is option (3) (x+1) since 1/x can be written as 1/(x+1-1), where (x+1-1) is the denominator of 1/x.
Hence, the correct option is (3).
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To find (g(f))^-1 (x), substitute the expression for f(x) into g(x) and simplify. The composition of g(f) is x and its inverse is also x. Therefore, (g(f))^-1 (x) equals x.
Explanation:To find (g(f))^-1 (x), we need to first find the composition of g(f) and then find its inverse. Start by substituting the expression for f(x) into g(x): g(f(x)) = g(3x-6) = \frac{1}{3}(3x-6) + 1 = x - 1 + 1 = x. So, g(f(x)) = x. Now, to find the inverse of g(f), we switch the x and y variables and solve for y: y = x. Therefore, (g(f))^-1 (x) = x.
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