Answers
Answer:
B. 31°; 106° and 43°.
Step-by-step explanation:
1) the rule is:
(5x-7)+(3x+1)+(11x-4)=180°;
2) if to solve this equation, then x=10°;
3) if x=10, then after the substitution the answer is 43;31;106.
Related Questions
BRAINIEST, THANKS, AND 5 STAR RATING what is the equation of the line in slope intercept form?
Answers
Answer:
y = -300x
Step-by-step explanation:
The y-intercept passes through 0, in this case, we don't have to include the y intercept to the equation. The slope is -300, or vertical/horizontal (rise/run, the formula for finding slope <<) We just include the slope if there is no y intercept. So, y = -300x is the equation!
Lakelyn has $2,500.00 to invest in a savings account. Savings account 1 earns 4% simple interest and savings account 2 earns 4% interest compounded annually. If she plans to deposit the $2,500.00 and leave it in the account for 1 year, in which savings account would she earn more interest?
Answers
Answer:
Let’s go back to the savings account example above. We started with $10,000 and ended up with a little more than $500 in interest after 10 years in an account with a 0.50% annual yield.
Step-by-step explanation:
Let’s go back to the savings account example above. We started with $10,000 and ended up with a little more than $500 in interest after 10 years in an account with a 0.50% annual yield.
Write a rational number which has no multiplicative inverse.
Answers
Step-by-step explanation:
a rational number which has no multiplicative inverse is zero(0).hope it helps.stay safe healthy and happy...What is the total surface area of the
triangular prism shown?
12 in.
9 in.
10 in.
15 in.
468 in2
ОООО
540 in2
576 in2
Ос
d
700 in2
Question 3 (1 point)
Answers
Answer:468 in2
Step-by-step explanation:
Pablo's father is 4 years older than his mother. Pablo's mother is 42 years old. How old is his father? Pablo's father's age is:
Answers
Answer:
46
Step-by-step explanation:
1 sum 42+4
Claim: If r(t)=⟨f(t),g(t),h(t)⟩, where f,g and h are odd continuous functions, then
³∫−3(f(t)i+g(t)j+h(t)k)dt=0.
Judge whether the claim is true, and give your reason for that.
Answers
The claim is true. The reason for this is that the integral of an odd function over a symmetric interval about the origin is always zero.
Given that f(t), g(t), and h(t) are odd continuous functions, we can represent their respective integrals over the interval [-3, 3] as follows:
∫[-3,3] f(t) dt = 0 (since f(t) is odd)
∫[-3,3] g(t) dt = 0 (since g(t) is odd)
∫[-3,3] h(t) dt = 0 (since h(t) is odd)
Therefore, when we calculate the integral of the vector function r(t) = ⟨f(t), g(t), h(t)⟩ over the interval [-3, 3], we have:
∫[-3,3] (f(t)i + g(t)j + h(t)k) dt
= ∫[-3,3] f(t) dt i + ∫[-3,3] g(t) dt j + ∫[-3,3] h(t) dt k
= 0i + 0j + 0k
= 0.
Hence, the claim is true, and the integral of the given vector function over the interval [-3, 3] is indeed equal to zero.
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can someone plz solve this for me! 12(w-3)>60
Answers
Answer:
x > 8
Step-by-step explanation:
12 (x - 3) > 60
One solves an inequality exactly like how one solves an equation, with inverse operations. The only difference is that when one multipies or divides by a negative number, one must flip the inequality sign, this rule is not applicable in this situation
12 ( x - 3 ) > 60
Inverse operations,
12 ( x - 3 ) > 60
/12 /12
x - 3 > 5
+3 +3
x > 8
write the following expression in simplest form
my answers are:
−1x + (−9)
−1x + (9)
four eighths times x plus nine
four eighths times x plus negative twenty five
Answers
The expression is simplified to give -4( x + 37/2)
How to simplify the expressionGiven the expression:
\((\frac{-3}{4}x - 8) - ( -17 + \frac{2}{8} x)\)
With the knowledge of BODMAS, we solve the bracket
Find the LCM
\((\frac{-3x - 16}{4} ) - ( \frac{-136 + 2x}{8} )\)
expand the bracket
\(\frac{-3x - 16}{4} + \frac{136 + 2x}{8}\)
Find the LCM
\(\frac{2( -3x - 16) + 136 + 2x }{8}\)
\(\frac{-6x + 12 + 136 + 2x}{8}\)
collect like terms
\(\frac{-4x + 148}{8}\)
-4( x + 37/2)
Thus, the expression is simplified to give -4( x + 37/2)
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If x^2 - 6x +8=0, then x-4=0 or x-2=0.
Answers
Step-by-step explanation:
X - 4 = 0
X = 4
X - 2 = 0
X = 2
So the values of x are 2 and 4
Five ounces of pretzels are put into each bag. How many bags can be made from 20 pounds of pretzels?
Answers
Each pound has 16 ounces in it.
20 pounds would be 16 x 20 ounces = 320 ounces.
If each bag has 5 ounces in it, that's 320 / 5 bags = 64 bags.
Pls give brainliest.
Let S and T be non-empty subsets of a topological space (X,τ) with S⊆T. (i) If p is a limit point of the set S, verify that p is also a limit point of the set T. (ii) Deduce from (i) that Sˉ⊆Tˉ. (iii) Hence show that if S is dense in X, then T is dense in X. (iv) Using (iii) show that R has an uncountable number of distinct dense subsets.
Answers
Since there are uncountably many distinct pairs of real numbers, we get an uncountable family of dense subsets of R.
Let S and T be non-empty subsets of a topological space (X,τ) with S⊆T.
Here is the solution:(i) If p is a limit point of the set S, then every open set that contains p contains a point q of S, distinct from p. If U is an open set containing p, then U also contains q ∈ S ⊆ T, so p is a limit point of T.(ii) We know that Sˉ, the closure of S is the set of all limit points of S. Hence, Sˉ consists of points p of X that satisfy the condition that every open set U containing p intersects S in a point q distinct from p. If p ∈ Sˉ, then every open set U containing p intersects S in a point q.
In particular, every open set V containing p also intersects T in a point q ∈ S ⊆ T. Therefore, p ∈ Tˉ.(iii) If S is dense in X, then Sˉ = X. From part (ii) of the question, we know that Sˉ ⊆ Tˉ. Therefore, Tˉ = (Sˉ)ˉ = X.
In other words, T is dense in X.(iv) To show that R has an uncountable number of distinct dense subsets, we make the following observation: for any distinct a,b ∈ R, the sets a + Z and b + Z are dense in R.
Indeed, let U be an open set in R. Let r be any real number. Then U contains an open interval (r - ε, r + ε) for some ε > 0. Let n be any integer. Then the set (a + nε/2, b + nε/2) intersects U.
Therefore, (a + Z) ∪ (b + Z) is dense in R.
Since there are uncountably many distinct pairs of real numbers, we get an uncountable family of dense subsets of R.
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The volume of a piece of wood is 620cm3.
Its density is 0.85g/cm3.
Work out its mass
Answers
Answer:
527 grams
Step-by-step explanation:
Use the density formula, d = m/v
Plug in the density and volume, then solve for m (mass):
d = m/v
0.85 = m/620
527 = m
So, the mass is 527 grams
Solve the following linear programming using the solver.
Max 50A + 50B
s.t 10 A <=
1000
10 B <=
800
20A + 40B
<= 4000
A, B >=
0
Answer: A
=
Answers
The maximum value of the objective function will be:50(100) + 50(20) = 5000 + 1000 = 6000
The given linear programming is:Max 50A + 50Bs.t.10A ≤ 100010B ≤ 80020A + 40B ≤ 4000A, B ≥ 0 To solve the linear programming using the solver follow these steps:Step 1: Open the Excel spreadsheet and go to Data, choose the solver and enable it.
Step 2: A Solver Parameters dialog box will appear. Input the necessary details as follows:Set Objective: 50A + 50BTo: Max Subject to constraints:
10A ≤ 100010B ≤ 80020A + 40B ≤ 4000
Select variables to change: A, BStep 3: Click Solve and the optimal value of A and B will be found.In this case, the optimal value of A is 100 and that of B is 20.
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Find the value of f(3) for the function f(x) = -4(x+1)-2
Answers
Answer:
f(3) = - 18
Step-by-step explanation:
To evaluate f(3) , substitute x = 3 into f(x) , that is
f(3) = - 4(3 + 1) - 2 = - 4(4) - 2 = - 16 - 2 = - 18
5.most people in developed countries would prefer to die at home; however, according to the textbook, only about what percentage die at home? a.10% b.20% c.30% d.40%
Answers
Percentage Of people Prefers to die at home in developed countries is 30%
Lets have Brief explanation
What is scientific research?
Scientific research is research carried out using organised, constructed scientific techniques for data collection, analysis, and interpretation.
There is growing scientific research regarding the choices people would prefer to make regarding their care as they approach death.
According to a number of studies, between 50% and 70% of patients undergoing treatment for a serious illness also state that they would prefer to die at home.
Even though many people would prefer to get care and pass away at home, hospital death is nonetheless common in many nations.
According to the research, between 25% and 30% of people want to die at home, and the classic scenario involves 30% of people.
Percentage Prefer to die at home = 30%
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please show work clearly Construct a power series for the function \( f(x)=\frac{1}{(x-22)(x-21)} \). Provide your answer below:
Answers
To construct a power series for the function \( f(x)=\frac{1}{(x-22)(x-21)} \), we can use the concept of partial fraction decomposition and the geometric series expansion.
We start by decomposing the function into partial fractions: \( f(x)=\frac{A}{x-22} + \frac{B}{x-21} \). By finding the values of A and B, we can rewrite the function in a form that allows us to use the geometric series expansion. We have \( f(x)=\frac{A}{x-22} + \frac{B}{x-21} = \frac{A(x-21) + B(x-22)}{(x-22)(x-21)} \). Equating the numerators, we get \( A(x-21) + B(x-22) = 1 \). By comparing coefficients, we find A = -1 and B = 1.
Now, we can rewrite the function as \( f(x)=\frac{-1}{x-22} + \frac{1}{x-21} \). We can then use the geometric series expansion: \( \frac{1}{1-x} = \sum_{n=0}^{\infty} x^n \). By substituting \( x = \frac{-1}{22}(x-22) \) and \( x = \frac{-1}{21}(x-21) \) into the expansion, we can obtain the power series representation for \( f(x) \).
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Toby picks a 6-digit number.
It is larger than 199,999 and it is a multiple of 2.
How many different numbers could he have picked?
Answers
Step-by-step explanation:
Basically the question is asking how many multiples of 5 there are in the range 1000\leq x \leq 9999
Answer: 400000 numbers
the number we need is abcdef (a ≠ 0)
becauuse abcdef > 199999 and it is a multiple of 2.
=> 200000 ≤ abcdef ≤ 999998
=> there are: (999998 - 200000)/2 + 1 = 400000 (numbers)
Step-by-step explanation:
which phrase best describes the relationship between the number of miles driven and the amount of gasoline used?
Answers
The phrase that best describes the relationship between the number of miles driven and the amount of gasoline used is "correlated, but not causal." So, the correct answer is B).
While there is a clear correlation between the number of miles driven and the amount of gasoline used (i.e., as the number of miles driven increases, the amount of gasoline used generally increases), this relationship is not necessarily causal.
There may be other factors at play, such as the efficiency of the vehicle, driving habits, and road conditions, that can affect the amount of gasoline used. Therefore, while the two variables are clearly related, it cannot be concluded that one variable causes the other. So, the correct option is B).
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--The given question is incomplete, the complete question is given
" Which phrase best describes the relationship between the number of miles driven and the amount of gasoline used?
A) causal, but not correlated
B) correlated, but not causal
C) both correlated and causal
D) neither correlated nor causal"--
A polynomial is factored using algebra tiles. Which polynomial was factored?
x2 – 2x - 8
x2 + 2x - 8
x2 - 2x - 4
x2 + 2x - 4
Answers
The algebra tiles shows the polynomial x² - 2x - 8
Polynomial
Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.
From the image:
Polynomial = x² + x + x - x - x - x - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 = x² - 2x - 8
The algebra tiles shows the polynomial x² - 2x - 8
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Find an expression which represents the difference when (10x + 8) is subtracted
from (-8x – 10) in simplest terms.
Answers
Answer:
2x-2
Step-by-step explanation:
just combine like terms
8-10 = -2
10x-8x=2x
Answer:
−18x−18
Step-by-step explanation:
The mean temperature for the first 4 days in January was 8°C.
The mean temperature for the first 5 days in January was 7°C.
What was the temperature on the 5th day?
Answers
Answer:
3 °C
Step-by-step explanation:
You want the temperature that, when added to four others, changes the mean from 8°C to 7°C.
MeanThe mean is the sum of the values in a data set, divided by the number of values. For the purpose here, we can assume that all of the first four temperatures were their mean. Then the mean after 5 days is ...
(8 +8 +8 +8 +x)/5 = 7
32 +x = 35 . . . . . . . . . . multiply by 5 and simplify
x = 3 . . . . . . . . . . . . subtract 32
The temperature on Jan 5 was 3°C.
Solve the following:
4x-1 divided by 2= x+7
a)
b)
3x + 2 = 2x+13 divided by 3
Answers
The equation's answer is x = 7.5. 4x - 1 2 = x + 7.
x = 1 is the answer to the problem 3x + 2 = (2x + 13) 3.
a) To solve the equation 4x - 1 ÷ 2 = x + 7, we need to isolate the variable x. Let's follow the steps:
1: Distribute the division operation to the terms inside the parentheses.
(4x - 1) ÷ 2 = x + 7
2: Divide both sides of the equation by 2 to isolate (4x - 1) on the left side.
(4x - 1) ÷ 2 = x + 7
4x - 1 = 2(x + 7)
3: Distribute 2 to terms inside the parentheses.
4x - 1 = 2x + 14
4: Subtract 2x from both sides of the equation to isolate the x term on one side.
4x - 1 - 2x = 2x + 14 - 2x
2x - 1 = 14
5: Add 1 to both sides of the equation to isolate the x term.
2x - 1 + 1 = 14 + 1
2x = 15
6: Divide both sides of the equation by 2 to solve for x.
(2x) ÷ 2 = 15 ÷ 2
x = 7.5
Therefore, x = 7.5 is the solution to the equation 4x - 1 ÷ 2 = x + 7. However, note that this answer is not an integer, so it may not be valid for certain contexts.
b) To solve the equation 3x + 2 = (2x + 13) ÷ 3, we can follow these steps:
1: Distribute the division operation to the terms inside the parentheses.
3x + 2 = (2x + 13) ÷ 3
2: Multiply both sides of the equation by 3 to remove the division operation.
3(3x + 2) = 3((2x + 13) ÷ 3)
9x + 6 = 2x + 13
3: Subtract 2x from both sides of the equation to isolate the x term.
9x + 6 - 2x = 2x + 13 - 2x
7x + 6 = 13
4: Subtract 6 from both sides of the equation.
7x + 6 - 6 = 13 - 6
7x = 7
5: Divide both sides of the equation by 7 to solve for x.
(7x) ÷ 7 = 7 ÷ 7
x = 1
Hence, x = 1 is the solution to the equation 3x + 2 = (2x + 13) ÷ 3.
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B=14∘,a=165,b=61 Law of Sines Law of Cosines not possible, enter IMPOSSIBLE in each corresponding answer blank.) LARAT10 8.2.037. Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal places.) a=9,b=17,c=23 LARAT10 8.2.039. Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal places.) a=2.4,b=6.9,c=5
Answers
1. LARAT10 8.2.037: The area of the triangle is 170.02 square units.
2. LARAT10 8.2.039: The area of the triangle is 6.65 square units.
What is the approximate area of the triangle with side lengths a = 9, b = 17, and c = 23?LARAT10 8.2.037:
Using Heron's Area Formula, we can calculate the area of the triangle with side lengths a = 9, b = 17, and c = 23. Let's denote the semi-perimeter of the triangle as s.
s = (a + b + c) / 2
= (9 + 17 + 23) / 2
= 49 / 2
= 24.5
Now, we can calculate the area (A) using the Heron's Area Formula:
A = √(s(s - a)(s - b)(s - c))
= √(24.5(24.5 - 9)(24.5 - 17)(24.5 - 23))
= √(24.5 * 15.5 * 7.5 * 1.5)
≈ √(28913.4375)
≈ 170.02
Therefore, the area of the triangle with side lengths a = 9, b = 17, and c = 23 is approximately 170.02 square units.
What is the approximate area of the triangle with side lengths a = 2.4, b = 6.9, and c = 5?LARAT10 8.2.039:
For the triangle with side lengths a = 2.4, b = 6.9, and c = 5, we can use Heron's Area Formula to find the area. Again, let's calculate the semi-perimeter (s) first.
s = (a + b + c) / 2
= (2.4 + 6.9 + 5) / 2
= 14.3 / 2
= 7.15
Using Heron's Area Formula:
A = √(s(s - a)(s - b)(s - c))
= √(7.15(7.15 - 2.4)(7.15 - 6.9)(7.15 - 5))
= √(7.15 * 4.75 * 0.25 * 2.15)
≈ √(44.29734375)
≈ 6.65
Hence, the area of the triangle with side lengths a = 2.4, b = 6.9, and c = 5 is approximately 6.65 square units.
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A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (6,4). What is the vertex of the function defined as g(x) = f(x+2)?
Answers
The vertex of the function defined as g(x) = f(x+2) is (8, 4).
How to determine the vertex of the functionFrom the question, we have the following parameters that can be used in our computation:
Vertex of f(x) = (6, 4)
For the function defined as g(x) = f(x+2), we have
Vertex = (x + 2, y)
Where
x = 6 and y = 2
Substitute the known values in the above equation, so, we have the following representation
Vertex = (6 + 2, 4)
Evaluate
Vertex = (8, 4)
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Zalma’s stock investment in March was $120. In October, it was $400.
If this investment increases at the same rate, how much money will she have in December?
I NEED IT ASAP
Answers
Answer:
In December, Zalma will have $480.
Step-by-step explanation:
The time from March to October is 7 months. In those 7 months, she gains $280. So every month, her investment gains $40.
The time from March to December is 9 months. She will gain $360 during that time. We add her initial $120 with the $360, and Zalma will have $480.
It's not confirmed, but it's what I got. :D
which location would the selected items BEST fit on the nuclear energy diagram
Paula can spend no more than $500 for a photographer to take specialty photos for the dinner. Aerial photos from a drone cost $25 each, and wide-angle photos costs $50 each. Suppose the photographer takes 11 aerial photos. What is the maximum number of wide-angle photos that Paula can afford?
Answers
Answer:
4
Step-by-step explanation:
because 25×11= 275 and 500-275 =225
50x4=200
225-200=25 you can buy 4 and 25$ is left over
A deck of cards have suits spade, diamonds, clubs, and hearts. There are 13 of each suit Ace, 2,3,4,5,6,7,8,9,10, jack, queen, and king. What is the probabililty of choosing a King from a standard deck?
Answers
Answer:
1 out of 13
Step-by-step explanation:
Helllppp. Read the attached pictures and answer the question. I'm so stuck. :))
Answers
The solution for the system of equtaions is (57/11, 42/11)
How to solve the system of equations?Here we have the system of equations:
x/3 = 6 - y/3
3x/4 - 3 = 2y
We can isolate x on the first equation to get:
x = 18 - 3*y/3
x = 18 - y
Replacing that on the other equation we will get
3*(18 - y)/4 - 3 = 2y
We can solve this for y.
3*(18 - y)/4 = 2y + 3
54 - 3y = 4*(2y + 3) = 8y + 12
54 - 12 = 8y + 3y
42 = 11y
42/11 =y
And the value of x will be:
x = 9 - 42/11
x = 99/11 - 42/11 = 57/11
That is the solution of the system.
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PLEASE HELP IT WORTH 50 points!!!!!
Answers
-3(-2)=6
-3+-2=-5
(X-3)(x-2)
Answer:
(x-3) (x-2)
Step-by-step explanation:
\(x^{2}\) - 5x + 6
How to break down the equation and factorise it:
-3 x -2 = 6
-3 + -2 = -5
Final Answer:
(x-3) (x-2)
f(x)=0.145x^2
The function above models f, the kinetic energy, in joules, of a baseball traveling at a speed of x meters per second. Based on the function, what is the kinetic energy, in joules, of a baseball traveling at a speed of 40meters per second?
A) 5.8
B) 58
C) 232
D) 2,320
Answers
Answer: A) 5.8
Step-by-step explanation: Hard guess