The sum of linear pair of is 180 degrees. The measure of angles B is 112 degrees
Linear pairThe sum of linear pair of is 180 degrees.
Given the following parameters
<A = 68 degrees
Required
<B
Since <A + <B = 180
68 + <B = 180
<B = 180 - 68
<B = 112 degrees
Hence the measure of angles B is 112 degrees
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what 12x12x34x5÷2 equal? 26 points and first one will get brainliest
Answer:
it should be 12240 !
Step-by-step explanation:
sorry if this is wrong, but im fairly certain its right :]
If a food item with an original (AP) weight of 4 pounds at a cost of $1.10 per pound yields a servable weight of 2 pounds, what is the cost per servable pound for this food item? a. $0.50 b. $1.50 c. $2.20 d. $4.40
Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.
The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.
The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):
Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.
Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.
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pls anwer fast is due in 5min
Answer:
Taking my points
Step-by-step explanation:
You spammed my own question
Me pueden ayudar por favor
Answer:
Answers are in the boxes
Step-by-step explanation:
Remember that i² = -1
Find f[g(x)] and g[f(x)] for the given functions. 3 f(x) = -x³ +3, g(x) = 4x+7 (Simplify your answer. Do not factor.) (Simplify your answer. Do not factor.) f[g(x)] = g[f(x)] =
The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19
The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7
The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below
f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3
When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343
Then
f[g(x)] = - 64x³ - 336x² - 588x - 340
Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;
g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g
[f(x)] = -4x³ + 19
Therefore,
f[g(x)] = - 64x³ - 336x² - 588x - 340
g[f(x)] = -4x³ + 19
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WILL GIVE BRAINLEST In triangle ABC, m∠B = (11x − 28)° and the measure of the exterior angle to ∠B is (5x − 32)°. Find m∠B.
8°
16°
60°
137°
Answer:
137 degrees
Step-by-step explanation:
if I saw the triangle I would know for sure but to find x we add the 2 equations together and set it equal to 180
(11x-28)+(5x-32)=180
Combine like terms
16x-60=180
+60. +60
16x=240
/16. /16
x=15
Now to find b we fill in x with the equation from the angle
11(15)-28
165-28
137 degrees is angle b
Hopes this helps please mark brainliest
The measure of the angle B is 137 degrees option (D) is correct after applying the property of the triangle.
What is the triangle?In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
It is given that:
In triangle ABC, m∠B = (11x − 28)° and the measure of the exterior angle to ∠B is (5x − 32)°.
(11x-28)+(5x-32)=180
16x=240
x = 15
Angle B = 11(15)-28
Angle B = 165-28
137 degrees
Thus, the measure of angle B is 137 degrees option (D) is correct after applying the property of the triangle.
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4.2...PLZZZZ I HAVE A 60 IN MATH HELP ME
Answer:
1:3
Step-by-step explanation:
It’s ratios.
A: 3
B: 9
36
129
C: x3
For the sequence an
4n + 7, which term number is 335?
A disk with a radius of 0.1 m is spinning about its center with a constant angular speed of 10 rad/sec. What are the speed and magnitude of the acceleration of a bug clinging to the rim of the disk?
1) 10 m/s and 10 m/s^2
2) 1 m/s and 0 m/^2 (Disk spins at constant speed)
3) 0.1 m/s and 1 m/s^2
4) 1 m/s and 10 m/s^2
A disk with a radius of 0.1 m is spinning about its center with a constant angular speed of 10 rad/sec. The speed of the bug is equal to the tangential speed of a point on the rim of the disk, which can be given by: v = rωWhere:r = 0.1 m (the radius of the disk)ω = 10 rad/sec (the angular speed of the disk)Therefore, the speed of the bug is: v = rω= 0.1 m x 10 rad/sec= 1 m/s
The acceleration of the bug can be given by: a = rαWhere:α = α (angular acceleration)The angular acceleration is zero because the disk is spinning at a constant angular speed. Hence, the acceleration of the bug is zero or a = 0 m/s². Therefore, the correct option is option 2) 1 m/s and 0 m/s² (Disk spins at a constant speed).
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What is the y-value in the solution to this system of linear equations?
4x + 5y = -12
-2x + 3y = -16
O-4
O-2
O2
O 5
Step-by-step explanation:
please mark me as brainlest and follow me
Billy has a gift card with a $160 balance. He buys several video games that cost $50 each. After the
purchases, his gift card balance is $10. Enter an equation to help find out how many video games Billy
bought
The equation
can help find out how many games Billy bought
Answer:
10=160-50x
Step-by-step explanation:
he bought 3 games
Find the edge length s of the cube. Write the answer as a fraction in simplest form. The edge length is foot.
ok
\(\begin{gathered} \text{Volume = s}^3 \\ \frac{1}{27}=s^3 \\ s\text{ = }\sqrt[3]{\frac{1}{27}} \\ s\text{ = }\frac{1}{3} \end{gathered}\)The length of s = 1/3
Area = 44 ft2
(x – 12) ft
(x - 5) ft
Answer:
x = 16 feet
Step-by-step explanation:
I'm guessing the shape given is a rectangle? Anyways, to find the area we multiply the sides, this gives us the equation:
(x - 12)(x - 5) = 44
We can distribute to get
x^2 - 12x - 5x + 60 = 44
x^2 - 17x + 60 = 44
Now, to get the equation equal to zero, we can subtract 44 from both sides:
x^2 - 17x + 16 = 0
To factor this, we are looking for two numbers that multiply to 16 and add up to -17. These two numbers are -1 & -16, therefore, the factored form is:
(x - 1)(x - 16) = 0
We can use the zero product property to say x = 1 and x = 16. We can cross out the solution x = 1, because when plugged in, we get side lengths less than one. So the sole answer is x = 16.
What type of variable is required to construct a confidence interval for a population proportion?.
The type of variable required is Qualitative with two possible outcomes.
What is a confidence interval?
An estimate level of uncertainty is expressed by a range of values known as a confidence interval.
Keeping in mind, the z-score and other data's decimal places should be preserved when generating the confidence interval upper and lower bounds. The responses will be accurate and round-off errors will be prevented.
Also, the confidence interval boundaries are expressed in percentages. The maximum value of 0.8740, for instance, is 87.4% in decimal notation.
Make sure to specify the confidence level, the percentage of the population that the confidence interval actually captures, and the bounds expressed in percentages when expressing the meaning of the confidence interval.
Hence, the type of variable required to construct a confidence interval for a population proportion is Qualitative with 2 possible outcomes.
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whats the 147th letter in this pattern abcd,abcd,abcd,abcd,abcd…
Explain and show your work
Answer:
the answer is abcdefgh because of that it explains the and
Answer: abcdefgh
Hope this helps
please help me out, I’ll give brainliest
Which ordered pairs are solutions to the inequality y−3x<10?
(0,-4) , (0,-1) , (4,-1) are the ordered pairs are solutions to the inequality
y − 3x < 10 which is option (A) , (D) and (E) .
An inequality compares two values and indicates whether one is less than, greater than, or equal to another. a ≠ b indicates that a is not equal to b a < b indicates that a is less than b a > b indicates that a is greater than b (These two are known as strict inequalities) a ≤ b means that a is less than or equal to b a ≥ b means that a is greater than or equal to b.
We have to check whether the given options are the solutions to the inequality y− 3x < 10 . ...(1)
(A) If (0,-4) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .
Putting x = 0 and y = -4 in equation (1) , we get
\(-4-3(0) < 10\\-4 < 10\)
As the above condition is true so (0,-4) is the solution of given inequality
(B) If (-6,0) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .
Putting x = -6 and y = 0 in equation (1) , we get
\(0-3(-6) < 10\\18 < 10\)
As the above condition is not true so (-6,0) is not the solution of given inequality .
(C) If (-1,7) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .
Putting x = -1 and y = 7 in equation (1) , we get
\(7-3(-1) < 10\\7+3 < 10\\10 < 10\)
As the above condition is not true so (-1,7) is the not the solution of given inequality .
(D) If (0,-1) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .
Putting x = 0 and y = -1 in equation (1) , we get
\(-1-3(0) < 10\\-1 < 10\)
As the above condition is true so (0,-1) is the solution of given inequality.
(E) If (4,-1) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .
Putting x = 4 and y = -1 in equation (1) , we get
\(-1-3(4) < 10\\-1-12 < 10\\-13 < 10\)
As the above condition is true so (4,-1) is the solution of given inequality.
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PLSSSSS HELP!!!!
I WILL GIVE BRAINLIEST!!!!
Answer:
2.924
Step-by-step explanation:
First you'll solve the parenthesis:
...- (5.5-5.5)
...-(0)
Now solve the equation:
\(\sqrt[3]{5^{2} - 0}\)
\(\sqrt[3]{25}\)
Now solve fully
I hope this helps :)
Answer:
the answer is 3 times the square root of 27
Step-by-step explanation:
Solve 15=5(8^(x)) for x. Leave your answer as an exact answer involving logarithms. Do not calculate a value.
The solution of the exponential equation is x = log₈(3) = 0.53
How to solve the equation for x?We want to solve the exponential equation:
15 = 5*8ˣ
First we can divide both sides by 5, then we will get:
15/5 = 8ˣ
3 = 8ˣ
We can apply the natural logarithm in both sides to get:
ln(3) = ln(8ˣ)
ln(3) = x*ln(8)
isolating x we get:
ln(3)/ln(8) = x = log₈(3) = 0.53
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write a linear function
Answer:
The equation of a linear function is expressed as: y = mx + b where m is the slope of the line or how steep it is, b represents the y-intercept or where the graph crosses the y-axis and x and y represent points on the graph.
Step-by-step explanation:
2 xm3(g) ⇌ 2 xm2(g) m2(g) ∆h = ???
Enthalpy change (∆H) of the given reaction is -300 kJ/mol.
Let's discuss it further below.
In the given equation, 2 Xm3(g) reacts to produce 2 Xm2(g) and M2(g). The symbol "X" represents the element and "M" represents an inert gas like helium or neon.
The question is asking about the enthalpy change (∆H) of the given chemical reaction. The enthalpy change (∆H) is the amount of energy released or absorbed during a chemical reaction.
It can be calculated using the difference in the energy of the reactants and the products. If the enthalpy change is negative, the reaction is exothermic, and if the enthalpy change is positive, the reaction is endothermic. If the enthalpy change is zero, the reaction is said to be in equilibrium.
To determine the enthalpy change of the given reaction, we need to know the enthalpy of the reactants and the products. The enthalpy of a substance is its heat content at constant pressure.
The standard enthalpy of formation (∆H°f) is the enthalpy change when one mole of a compound is formed from its constituent elements in their standard states (∆H°f of the elements is zero).
The standard enthalpy of formation (∆H°f) of the reactants and products are given below:
∆H°f (Xm3(g)) = -300 kJ/mol∆H°f (Xm2(g)) = -450 kJ/mol∆H°f (M2(g)) = 0 kJ/mol
Now we can calculate the enthalpy change (∆H) of the given reaction using the formula:
∆H = Σ∆H°f (products) - Σ∆H°f (reactants)
where Σ represents the sum of the values.
∆H = [2(-450 kJ/mol) + 0 kJ/mol] - [2(-300 kJ/mol)]∆H = -900 kJ/mol + 600 kJ/mol∆H = -300 kJ/mol
Therefore, the enthalpy change (∆H) of the given reaction is -300 kJ/mol. This means that the reaction is exothermic, and energy is released during the reaction.
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how to send kred to a krew member
To send Kred to a Krew member, you can follow the steps provided by the Kred platform. These steps typically involve accessing your Kred account, selecting the desired recipient, specifying the amount of Kred to send, and confirming the transaction.
Sending Kred to a Krew member usually requires using the features and functionalities provided by the specific Kred platform or service. The process may vary depending on the platform, so it is recommended to refer to the official documentation or guidelines provided by the platform. Typically, you would need to log in to your Kred account, navigate to the appropriate section for sending Kred, select the intended recipient from the list of Krew members, enter the desired amount of Kred to send, review the transaction details, and confirm the transfer. The platform may also offer additional options or settings for customizing the transfer process.
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The average U.S. dollar/Euro exchange rate from a sample of 36 monthly observations is $1.00/Euro. The population variance is 0.49. What is the 95% confidence interval for the mean U.S. dollar/Euro exchange rate
The 95% confidence interval for the mean exchange rate between the U.S. Dollar and Euros is $0.771/Euro to $1.2287/Euro.
To solve this question, we use the concept of calculating the confidence interval for a population mean.
The confidence interval is a range of values, in which we are sure that the population parameter lies truly. With this, we can estimate the uncertainty associated with estimating population parameters, based on the given data.
The formula used to find the confidence interval is as follows:
Confidence Interval (C.I) = Sample Mean ± (Critical Value) * (Standard Error)
Before we arrive at the interval, we need the values of a few terms, such as the Standard error and the Critical value.
Standard Error:
It is a representation of the standard deviation of the sample mean. It is the ratio of the standard deviation to the root of the size of the sample size.
So,
Standard error = √Population Variance/√Sample size in months
(Population deviation is the square root of Variance)
Error = √0.49 / √36
= 0.7/√36
= 0.7/6
= 0.116
Thus, the standard error is 0.116.
Critical Value:
We need the critical value associated with the 95% confidence level, for which we use the Z-distribution to find the value. We can use a Z-table or calculator.
For 95%, the critical value is approximately 1.96.
Now, we substitute the information in the original equation.
Confidence Interval = $1 ± (1.96)*(0.1167)
C.I = 1 ± 0.2287
C.I = [$0.771, $1,2287]
Therefore, the 95% confidence interval for the mean U.S. dollar/Euro exchange rate is approximately $0.771/Euro to $1.2287/Euro.
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Solve the initial value problem yy' - +ywth y(4) = 3 a To solve this, we should use the substitution ti help (formulas) help (formatas) Enter derivatives using prime notation (0.9. you would enter ytor b. After the substitution from the previous part, we obtain the following linea differential equation in 2, 4, help (equations) c The solution to the original initial value problem is described by the following equation in sy help (equations)
The initial value problem \(yy' - y + ywth = 0\), with y(4) = 3, we can use the substitution u = y^2. Taking the derivative of u with respect to x, we have \(du/dx = 2yy\)'. Substituting this into the original equation, we get 2\(yy' - y + ywth = 0\), which simplifies to \(yy' + ywth/2 = y/2\).
Now we have a linear differential equation in y and x.
To solve this equation, we can use an integrating factor. The integrating factor is \(e^_(∫wth/2 dx)\), where wth/2 is a constant.
Multiplying the entire equation by this integrating factor, we obtain the following:
\(e^(∫wth/2 dx)yy' + e^(∫wth/2 dx)ywth/2 = (y/2)e^(∫wth/2 dx)\).
This can be rewritten as\(d/dx(e^(∫wth/2 dx)y) = (y/2)e^(∫wth/2 dx)\).
Integrating both sides with respect to x, we have
\(∫d/dx(e^(∫wth/2 dx)y) dx = ∫(y/2)e^(∫wth/2 dx) dx\).
Simplifying further, we get\(e^(∫wth/2 dx)y = ∫(y/2)e^(∫wth/2 dx) dx + C\).
Solving for y, we have \(y = e^(-∫wth/2 dx) * (∫(y/2)e^(∫wth/2 dx) dx + C)\).
In summary, by using the substitution \(u = y^2\), we transformed the original initial value problem into a linear differential equation in y and x. Using an integrating factor, we solved the linear equation and obtained the solution for y in terms of x and the constant C.
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PLSS HELP!!
Add:
(i) x + 5y
3x + y
Answer:
your answer will be 4x+6y+i
Step-by-step explanation:
hope it helps :)
Given STU and DEF what is m
answer: u = 47
step by step explanation:
fazer scores 43% in a spelling test, what percentage did he get wrong???
Answer:
57
Step-by-step explanation:
100 - 43 =
57
Answer:
He got 57% wrong
Step-by-step explanation:
If he got 43% correct, there is 100 percent on the assignment
100 -43 = 57
He got 57% wrong
two fair dice are rolled. what is the conditional probability that at least one lands on 6 given that the dice land on different numbers?
The probability is \(\frac{11}{30}\) .
What is the probability?
Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To forecast how likely occurrences are to occur, Probability has been introduced in mathematics.
F= The probability that the dice land on different numbers.
F=(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)
F = \(\frac{30}{36}= \frac{5}{6}\)
E= The event that at least one lands on 6.
E=(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)
E= \(\frac{11}{36}\)
What is the probability of E, when given that F has occurred?
P= \(\frac{P(EF)}{P(F)}\) = \(\frac{1-P(EF)}{P(F)}\)
=> P = \(\frac{\frac{11}{36} }{\frac{5}{6} }\) = \(\frac{11}{30}\)
Hence the Probability is \(\frac{11}{30}\) .
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In a trend that scientists attribute, at least in part, to global warming, a certain floating cap of sea ice has been shrinking since 1980.
the ice cap always shrinks in the summer and grows in winter. average minimum size of the ice cap, in square miles, can be
approximated by a= pir^2. in 2013, the radius of the ice cap was approximately 792 mi and was shrinking at a rate of approximately
4.1 mi/yr. how fast was the area changing at that time?
the area was changing at a rate of in 2013.
(round to the nearest integer as needed.)
Therefore, the area of the ice cap was changing at a rate of approximately -20629 square miles per year in 2013.
To find the rate at which the area of the ice cap was changing in 2013, we can use the formula for the derivative of the area with respect to time.
Given:
Radius of the ice cap (r) = 792 mi
Rate of change of radius (dr/dt) = -4.1 mi/yr (negative because the radius is shrinking)
The formula for the area of a circle is A = πr²
Taking the derivative of both sides of the equation with respect to time (t), we get:
dA/dt = 2πr(dr/dt)
Substituting the given values:
dA/dt = 2π(792)(-4.1)
Calculating the value:
dA/dt ≈ -20629
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write the statements using summation or product notation. 1/2*4/4*9/8*16/16*25/32*36/64*49/128
4+5/2! + 6/3! + 7/4! + 8/5! + 9/6!
The required expressions in summation and product notations are: ∏(n = 1 to 7) [(n + 1)²] / (2 × 4 × 8 × 16 × 32 × 64 × 128) and ∑ (n = 0 to 5) n + (n + 5) / (n + 2)
The given expression is 1/2 × 4/4 × 9/8 × 16/16 × 25/32 × 36/64 × 49/128
To express the given expression using product notation, let's consider the numerators and the denominators separately.
Product of the numerators = 1 × 4 × 9 × 16 × 25 × 36 × 49
Product of the denominators = 2 × 4 × 8 × 16 × 32 × 64 × 128
Therefore, the given expression in the product notation is:
∏(n = 1 to 7) [(n + 1)²] / (2 × 4 × 8 × 16 × 32 × 64 × 128)
Now, let's consider the second expression.
The given expression is: 4 + 5/2! + 6/3! + 7/4! + 8/5! + 9/6!
To express this given expression in the summation notation, we can write it as:
∑ (n = 0 to 5) n + (n + 5) / (n + 2)!
Therefore, the required expressions in summation and product notations are:
∏(n = 1 to 7) [(n + 1)²] / (2 × 4 × 8 × 16 × 32 × 64 × 128) and ∑ (n = 0 to 5) n + (n + 5) / (n + 2)
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