The value of y that satisfies the equation is 41.
What is the arithmetic operation?
Arithmetic operations involve the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.
To solve this equation for y, you can divide both sides by 4:
4y/4 = 164/4
This simplifies to:
y = 41
Hence, the value of y that satisfies the equation is 41.
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I need help answering this question
Answer:
\( x = 17 \)
Step-by-step explanation:
Since line m is parallel to line n, therefore:
\( (6x + 5) + (5x - 12) = 180 \) (consecutive interior angles are supplementary)
Solve for x
\( 6x + 5 + 5x - 12 = 180 \)
Add like terms
\( 11x - 7 = 180 \)
Add 7 to both sides
\( 11x - 7 + 7 = 180 + 7 \)
\( 11x = 187 \)
Divide both sides by 11
\( \frac{11x}{11} = \frac{187}{11} \)
\( x = 17 \)
please help. due today.
Answer:
1, 1/2, 1 1/2
Step-by-step explanation:
Question 1
20 divided by 18 is 1.1
So the answer is closest to 1
Question 2
9 divided by 20 is 0.45
So the answer is closest to 1/2
Question 3
7 divided by 5 is 1.4
So the answer is closest to 1 1/2
Hope this helps!
Determine the slope between these these points
Answer:
-12/5
Step-by-step explanation:
Evaluate for d = 10, u = 7, e = 3.2 d+e
Answer:
The answer is 13.2
Step-by-step explanation:
d = 10
e = 3.2
d + e = 10 + 3.2 = 13.2
Thus, The answer is 13.2
Find the component form of the sum of u and v with direction angles u and v.
We will have the following:
\(\begin{gathered} U_x=14cos(45) \\ \\ U_y=14sin(45) \\ \\ V_x=80cos(180) \\ \\ V_y=80sin(180) \end{gathered}\)Then:
\(\begin{gathered} \sum_x=\frac{14\sqrt{2}}{2}+(-80)\Rightarrow\sum=7\sqrt{2}-80 \\ \\ \sum_y=\frac{14\sqrt{2}}{2}+(0)\Rightarrow\sum=7\sqrt{2} \end{gathered}\)So, the component form for the sum of the vectors will be:
\(u+v=(7\sqrt{2}-80)i+(7\sqrt{2})j\)The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $4. There is 1 winning ticket out of the 280 tickets sold. The winner gets a prize worth $62. Round your answers to the nearest cent.
What is the expected value (to you) of one raffle ticket? $
Calculate the expected value (to you) if you purchase 12 raffle tickets. $
What is the expected value (to the PTO) of one raffle ticket? $
If the PTO sells all 280 raffle tickets, how much money can they expect to raise for the classroom supplies? $
The expected values of the raffle ticket for you are given as follows:
One ticket: -$3.76.12 tickets: -$45.12.For the PTO, the expected values are given as follows:
One ticket: $3.76.12 tickets: $45.12.What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
For you, the distribution is given as follows:
P(X = 62) = 1/280.P(X = -4) = 279/280.Hence the expected value for one ticket is given as follows:
E(X) = 62/280 - 4 x 279/280
E(X) = -$3.76.
For twelve tickets, the expected value is given as follows:
12 x -3.76 = -$45.12.
For the PTO, we use the inverse signals, as the distribution is the inverse, that is:
P(X = -62) = 1/280.P(X = 4) = 279/280.More can be learned about the expected value of a discrete distribution at https://brainly.com/question/27899440
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- A manufacturer is designing a two-wheeled cart that can maneuver through tight spaces. On one test model, the wheel placement (center) and radius are modeled by the equation (r + 1.5)- + (y+ 2)=9. Which graph shows the position and radius of the wheels? need answers right now
The location of the center and the radius will be (-1.5. -2) and 3, respectively. Thus, the correct option is A.
Given that:
Equation: (x + 1.5)² + (y + 2)² = 9
Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,
(x - h)² + (y - k)² = r²
Compare the equation, then we have
Center: (-1.5, -2)
Radius: r² = 9 ⇒ r = 3
Thus, the correct option is A.
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what is 11/2 times 1/3 as a fraction
Answer:
11/2 times 1/3 is 11/6
Step-by-step explanation:
11/2 times 1/3,
We have to multiply the numerators and denominators,
\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)
hence we get 11/6
The cost of plastering the 4 walls of a room which is 4m high and breadth one third of its length is Rs. 640 at the rate of Rs. 5/m². What will be the cost of carpeting its floor at the rate of Rs. 250/m².
Answer:
Rs. 32,000
Step-by-step explanation:
height = 4m
let length = x m
breadth = x/3 m
Area of the 4 walls = 2(length × height) + 2(breadth × height)
Area = 2(4×x) + 2(4 × x/3) = 8x + (8x)/3
Area = (32x)/3 m²
1 m² = Rs. 5
The cost for an area that is (32x)/3 m²= (32x)/3 × 5 Rs.
The cost of plastering 4 walls at Rs.5 per m² = 640
(32x)/3 × 5 = 640
(160x)/3 = 640
x = length = 12
Area = (32x)/3 m² = (32×12)/3 = 128m²
The cost of carpeting its floor at the rate of Rs. 250/m²:
= 128m² × Rs. 250/m² = 32,000
The cost of carpeting its floor at the rate of Rs. 250/m² = Rs. 32,000
based on the graph how many tiles are im figure 0
For figure {0}, the number of tiles will be equal to 2.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is a graph as shown in the image.
The line passes through point -
(3, 8) and (4, 10)
So, the slope of the line will be -
m = (10 - 8)/(4 - 3)
m = 2
y = 2x + c
For the point (3, 8), we can write -
8 = 6 + c
c = 2
For figure {0}, the number of tiles will be equal to 2.
Therefore, for figure {0}, the number of tiles will be equal to 2.
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What is the domain of the exponential function?
\(y=2^{x}+6\)
The domain of the exponential function is all real numbers.
The domain of a function refers to the set of all possible input values (also known as the independent variable) for which the function is defined.
For the exponential function y = 2ˣ + 6, the domain includes all real numbers.
This is because there are no restrictions on the input values that can be plugged into the function.
We can take any real number x, substitute it into the expression 2ˣ, and then add 6 to get a corresponding output value y.
Hence, the domain of the exponential function is all real numbers.
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When Gail goes on a hike, she always packs a ratio of 20 protein bars to 15 water bottles in her backpack.
Complete the statement about the ratio of protein bars to water bottles.
For a short hike, Gail should pack ____ protein bars if she packs 3 water bottles.
Answer:
4 protein bars
Step-by-step explanation:
if we divide the 15 water bottles by 5 we get 3 water bottles. This is how many she took so following the same scale factor we would then divide 20 by 5 and get 4.
A statistics student is studying if there is a relationship between the price of a used car and the number of miles it has been driven. She collects data for 20 cars of the same model with different mileage, and determines each car’s price using a used car website. The analysis is given in the computer output.
Predictor Coef SE Coef t-ratio p
Constant 24157.2 2164.1 2.965 0.046
Mileage -0.181 0.024 5.377 0.000
S = 3860.7 R-Sq = 68.0% R-Sq(Adj) = 67.5%
Using the computer output, what is the equation of the least-squares regression line?
ŷ = –0.181 + 24157.2x
ŷ = 24157.2 – 0.181x
ŷ = 2164.1 + 0.024x
ŷ = 0.024 + 2164.1x
========================================================
Explanation:
Simply look at the "coef" column to find the values you need. The constant is the term that isn't attached to the variable. The mileage coefficient is basically the slope.
You can think of it like
price = constant + (mileage coefficient)*(mileage)
The mileage coefficient being negative tells us we have negative correlation going on here. As x increases, y decreases. This makes sense because the car's value is expected to go down the more mileage is added on it.
show that 4/9 - 1/6 = 5/18
Answer:
Step-by-step explanation:
4/9-1/6=5/18
Step-by-step explanation:
\( \frac{4}{9} - \frac{1}{6} \)
\( (\frac{4}{9} \times \frac{2}{2} ) - ( \frac{1}{6} \times \frac{3}{3} )\)
\( \frac{8}{18} - \frac{3}{18} \)
5/18
Solve the inequality 37v < -18
Answer:
I'm not sure
Step-by-step explanation:
sorry need point
Does anyone know? It’s on factoring
whats the website ?
Maybe I can help I haven´t learned this yet.
15. A plane flies 35 miles east and 80 miles south of an airport. The pilot
wants to fly directly back to the airport. What heading should be taken?
♡
The opposite of East is West.
The opposite of South is North.
He would need to fly North West
WILL MARK BRAINIEST!!!!!!!!!!! PLEASE HELP ASAP
The figure below shows the location of 3 points around a lake. The length of the lake, BC, is also shown. A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 8 miles. The length BC of the triangle is labeled as 6 miles. This length BC is also the length of an irregular gray shaded shape. Which of the following options is closest to the distance (in miles) between points A and B?
A.) 2.24
B.) 2.65
C.) 3.74
D.) 5.29
Answer:
I think B but I'm not sure
Step-by-step explanation:
Answer:
B i think
Step-by-step explanation:
you're welcome <3
The sum of five times a number and ten is twenty-five. Find the number.
Answer:
Question: The sum of 10 and 5 times a number is 25. Find the number.
Answer: x = 3
Step-by-step explanation:
10 + 5x = 25
5x = 25 - 10
5x = 15
x = 3
Identify the values of the variables. Give your answers in simplest radical form. Help!
Considering the triangle given the variables are calculated to be
x = (5√6)/3
y = (10√6) / 3
How to calculate the unknown variablesInformation given in the question
right angle triangle
The unknown variables is calculated using SOH CAH TOA
Definition of variables for the right angle triangle
hypotenuse = y
opposite = 5√2
adjacent = x
The variable x is solved using tan, TOA, the angle is 60
tan 60 = Opposite / Adjacent
tan 60 = (5√2) / x
x = (5√2) / tan 60
x = (5√6)/3
The variable y is solved using sin, SOH, the angle is 60
sin 60 = Opposite / Hypotenuse
sin 60 = (5√2) / y
y = (5√2) / sin 60
y = (10√6) / 3
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8. A tap was turned on to fill a container with water. The graph below shows the amount of water in the container over 30 minutes. (a) 6000 (b) 5000 Amount of Water 3000 (cm³) 4000 2000 1000 0 0 5 10 15 20 25 30 Duration (mins) How much water did the tap fill the container with in one minute? 3 - filled with water. What 4 At the end of 30 minutes, the container was percentage of the container was filled with water before the tap was turned on? Round your answer to 2 decimal places.
If the container has a capacity of 6000 cm³, then it was completely filled with water at the end of 30 minutes.
What is total capacity?Total capacity refers to the maximum amount or volume that a given system, machine, container, or facility can hold or accommodate. It is the total amount that can be held or processed under ideal or maximum conditions, without overloading or damaging the system.
According to question:(a) To find the amount of water filled by the tap in one minute, we can calculate the change in the amount of water over one minute, which is the slope of the line. Looking at the graph, the amount of water increases by 1000 cm³ over 5 minutes, so the amount of water filled in one minute is:
1000 cm³ / 5 minutes = 200 cm³/minute
Therefore, the tap filled the container with 200 cm³ of water every minute.
(b) At the beginning of the 30 minutes, the container was empty, so 0% of the container was filled with water. At the end of the 30 minutes, the container was filled with 6000 cm³ of water. The total capacity of the container is not given in the question, so we cannot determine the percentage of the container that was filled with water.
However, if we assume that the container has a capacity of 6000 cm³, then the percentage of the container that was filled with water at the end of 30 minutes is:
(6000 cm³ / 6000 cm³) x 100% = 100%
So if the container has a capacity of 6000 cm³, then it was completely filled with water at the end of 30 minutes.
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solve for g. bf-5k=c(g+2k)
Answer:
hope it helps.
stay safe healthy and happy.
Answer:
In bold below.
Step-by-step explanation:
bf-5k=c(g+2k)
g + 2k = (bf - 5k)/c
g = (bf - 5k)/c - 2k
200 + 34 =n 34 В. 166 C.200 D. 234
Answer:
n = 234
Step-by-step explanation:
make me brainliest
Write x^2 - 8x + 10 in the form
(x + a)^2 + B
\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)
Find the exact value of the trigonometric function given that sin u = − 9 41 and cos v = − 3 5 . (Both u and v are in Quadrant III.) sec(v − u)
According to the given statement the value of the trigonometric function is \(\sec (v-u) \Rightarrow \frac{65}{56}\).
What does a mathematic trigonometric function mean?Angles are the basis of trigonometric functions. They are employed to connect the side lengths of something like a triangle to its angles.
Briefing:\(\sin u=\frac{-5}{13} \leftarrow Q-\text { III } \rightarrow \quad \cos v=\frac{-3}{5}\)
\(\begin{aligned}\cos u & =\sqrt{1-\sin ^2 u} \\& =\sqrt{1-\left(\frac{-5}{13}\right)^2} \\& =\sqrt{1-\frac{25}{169}} \\& =\sqrt{\frac{169-25}{169}} \\& =\sqrt{\frac{144}{169}}=\frac{12}{13}\end{aligned}\)
\(\cos u=-\frac{12}{13}\)
and
\(\begin{aligned}\sin v & =\sqrt{1-\cos ^2 v} \\& =\sqrt{1-\left(\frac{-3}{5}\right)} \\& =\sqrt{1-\frac{9}{25}} \\& =\sqrt{\frac{25-9}{25}} \\& =\sqrt{\frac{16}{25}}=\frac{4}{5} \\\sin v & =-\frac{4}{5}\end{aligned}\)
\(\sin v=-\frac{4}{5}\)
\(\begin{aligned}& \sec (v-u) \Rightarrow \frac{1}{\cos (v-u)} \\& \begin{aligned}\cos (v-u) & =\cos v \cos u+\sin v \sin u \\& =\left(-\frac{3}{5}\right)\left(-\frac{12}{13}\right)+\left(\frac{-4}{5}\right)\left(\frac{-5}{13}\right) \\& =\frac{36}{65}+\frac{20}{65}=\frac{36+20}{65} \\\cos (v-u) & =\frac{56}{65} \\\frac{1}{\cos (v-u)} & =\frac{1}{\frac{56}{65}}=\frac{65}{56}\end{aligned}\end{aligned}\)
\(\sec (v-u) \Rightarrow \frac{65}{56}\)
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solve the following inequality, algebra 1.
will give brainliest answer !!
Step-by-step explanation:
Given:
\( \cfrac{m - 8}{2} < 2 \: \: \: \: \: ...1\)
\( \cfrac{3m + 1}2 > - 1 \: \: \: \: \: ...2\)
Inequality 1:
Simplify:
1/2 m - 4 < 2Add 4 to both sides:
1/2 m - 4 + 4 < 2+41/2 m < 6Multiply both sides by 2:
1/2 m * 2 < 6*2 m < 12Hence,m < 8
Inequality 2:
\( \cfrac{3m + 1}2 > - 1\)
This inequality can't be solved because the absolute values can't be less than 0,and can't be negative.
No solutions.During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, what will the population be 7.2 minutes from now?
During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:
P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes
The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.
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Divide £104 in the ratio 3:5
Answer:
39:65
Step-by-step explanation:
104/(3+5) = 104/8 = 13 13(3):13(5) = 39:65
Select all of the following tables which represent y as a function of and are one-to-
one.
Answer:
Option 3
Step-by-step explanation:
Each value of x maps onto one value of y and vice versa.
Expression equivalent to 8p-3n+4q-9m
Answer:
4p-n+2q-3m is equivalent to 8p-3n+4q-9m
The expression 4(2p+ q) - 3(n+3m) is equivalent to the given expression. which is the correct answer would be an option (C).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question following:
8p - 3n + 4q - 9m
We have to determine the equivalent expression to the given expression
As per option (C), we have
⇒ 4(2p+ q) - 3(n+3m)
Apply the distributive property of multiplication,
⇒ 4 × 2p+ 4 × q - 3 × n + 3 × m
⇒ 8p + 4q - 3n + 3m
Rearrange the terms in the above expression,
⇒ 8p - 3n + 4q - 9m
So this expression is the same as the given expression.
Therefore, the expression 4(2p+ q) - 3(n+3m) is equivalent to the given expression.
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The question seems to be incomplete the correct question would be:
Which expression is equivalent to 8p-3n+4q-9m
A. 0
B. 5pn - 5qm
C. 4(2p+ q)-3(n+3m)
D. 4(2p+q)-3(n-3m)