To solve the problem we must know about Like Terms.
What are Like Terms?Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
The solution to the problem is (-1.7x-1.3).
Given to us
f(x) = 3.7 - 2xg(x) = 0.25x - 5To find
f(x) + g(x)
To solve the problem we will put the functions as given to us,
\(f(x)+g(x)\\= ( 3.7 - 2x)+( 0.25x - 5)\)
Open brackets,
\(=3.7 - 2x+ 0.25x - 5\)
Like TermsSolve the like terms,
\(=3.7 - 2x+ 0.25x - 5\\\\=0.25x-2x-5+3.7\\\\=-1.75x-1.3\)
Hence, the solution to the problem is (-1.7x-1.3).
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If x = -2, what is y = ?
In the curve of the sinusoidal curve when x = -2 y = 2
How to find the value y when x = -2 in the curve?A sinusoidal curve, also known as a sine wave, is a type of waveform that is commonly used to describe oscillations or periodic phenomena in various fields such as physics, engineering, mathematics, and electronics.
A sinusoidal curve is a graph of a function that oscillates between an upper value and a lower value, and repeats itself over a period of time.
In order to find the value of y when x = -2, from the x-axis at x = -2 trace it to touch the curve and then trace to the y-axis to get the y value (Check the attached).
Therefore, when x = -2, y = 2
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The point A(4, 3) is reflected over the point (6, -2) and its image is point B. What
are the coordinates of point B?
Answer:
(8, -7)
Note that B is the midpoint of the segment with endpoints A and the image of A.
What is the expression shown
Answer:
There is nothing but your question and you should try on your own
Step-by-step explanation:
Answer:
N/A
Step-by-step explanation:
There is not context with this problem, therefore it cannot be solved.
PLZ HELP ANSWER ALL 3 WILL MARK BRAINLEST
Answer:
Step-by-step explanation:
For question 1:The answer is 36-k.
Question 2: The answer is 61.
Question 3: The answer is 162.
What is the value of n in the equation below?
StartFraction a Superscript n Over a cubed EndFraction = a Superscript 9
Answer:
ok ok it it 12
Step-by-step explanation:
stay safe 2021
Answer:
12
Step-by-step explanation:
Edge
find the distance between the point a(1, 0, 1) and the line through the points b(−1, −2, −3) and c(0, 3, 11).
The distance between the point A(1, 0, 1) and the line passing through points B(-1, -2, -3) and C(0, 3, 11) is 3.541 units.
To find the distance between a point and a line in three-dimensional space, we can use the formula:
Distance = |AB x AC| / |AC|
Where,
A represents the coordinates of the point.B and C represent points on the line.AB and AC are the vectors formed by subtracting the coordinates of point A from B and C, respectively.|x| denotes the magnitude (length) of vector x.It is given that: A(1, 0, 1), B(-1, -2, -3), C(0, 3, 11)
Let's calculate the distance:
AB = B - A = (-1 - 1, -2 - 0, -3 - 1) = (-2, -2, -4)
AC = C - A = (0 - 1, 3 - 0, 11 - 1) = (-1, 3, 10)
Now we'll calculate the cross product of AB and AC:
AB x AC = (-2, -2, -4) x (-1, 3, 10)
To find the cross product, we can use the following determinant:
| i j k |
| -2 -2 -4 |
| -1 3 10 |
= (2 * 10 - 3 * (-4), -2 * 10 - (-1) * (-4), -2 * 3 - (-2) * (-1))
= (20 + 12, -20 + 4, -6 - 4)
= (32, -16, -10)
Now we'll find the magnitudes of AB x AC and AC:
|AB x AC| = √(32² + (-16)² + (-10)²) = √(1024 + 256 + 100) = √1380 = 37.166
|AC| = √((-1)² + 3² + 10²) = √(1 + 9 + 100) = √110 = 10.488
Finally, we'll divide |AB x AC| by |AC| to obtain the distance:
Distance = |AB x AC| / |AC| = 37.166 / 10.488 = 3.541
Therefore, the distance between the point A(1, 0, 1) and the line passing through points B(-1, -2, -3) and C(0, 3, 11) is approximately 3.541 units.
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The first person to answer correctly I will give them a brainlies, 5 stars, and a thank you!
Which process in photosynthesis uses energy from the sun?(1 point)
1. splitting water into hydrogen and oxygen
2. combining carbon dioxide and hydrogen
3. absorbing carbon dioxide
4. releasing oxygen
Answer:
1. splitting water into hydrogen and oxygen
Step-by-step explanation:
Answer:
Photosynthesis takes place in two stages: the light-dependent reactions and the Calvin cycle. In the light-dependent reactions, which take place at the thylakoid membrane, chlorophyll absorbs energy from sunlight and then converts it into chemical energy with the use of water.
Step-by-step explanation:
can u pls go answer my question? Thank you and have a nice day :)
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Write an
equation for the linear function f satisfying the given conditions.
1) f(-1) = -5 and f(5) = 7
Answer: f(x) = 2x - 3
===================================================
We're given f(-1) = -5 and f(5) = 7
This means we know the two points (-1,-5) and (5,7) are on the line.
Find the slope
m = (y2-y1)/(x2-x1)
m = (7-(-5))/(5-(-1))
m = (7+5)/(5+1)
m = 12/6
m = 2
The slope is 2.
Use this along with (x1,y1) to find the equation. We'll use point slope form
y - y1 = m(x - x1)
y - (-5) = 2(x - (-1))
y + 5 = 2(x + 1)
y = 2x + 2 - 5
y = 2x - 3
f(x) = 2x - 3
Alex paid $20,448 for a new car. He will make equal payments each month or 4 years. What will be Alex's monthly car payment
Answer:
$426
Step-by-step explanation:
According to the question,
New car cost = $20,448
Time to repay = 4 years or 48 months
So, we can calculate the monthly car payment by using following formula,
Monthly car payment = New car cost ÷ Time to repay
By putting the value, we get
Monthly car payment = $20,448 ÷ 48
= $426
Hence, Alex monthly car payment is $426.
if the value for δs is postive, and the value for δh is negative, thr reaction will be
A positive δS and a negative δH indicate a spontaneous reaction.
The signs of δs and δh are related to the spontaneity of a reaction through the Gibbs free energy equation:
ΔG = ΔH - TΔS
where ΔG is the change in Gibbs free energy, ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.
For a spontaneous reaction, ΔG must be negative. The sign of ΔG depends on the signs of ΔH and ΔS and the temperature. Specifically, if ΔH is negative (exothermic reaction) and ΔS is positive (increase in disorder), then ΔG will be negative and the reaction will be spontaneous at all temperatures.
If δs is positive and δh is negative, then ΔS is positive and ΔH is negative. This satisfies the conditions for a spontaneous reaction, and therefore the reaction will be spontaneous at all temperatures.
In summary, a positive δS and a negative δH indicate a spontaneous reaction.
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if you use synthetic division for this polynomial: 3x^5-12x^4+12x^3+30x^2-39x-42. What would the answer be?
Answer : x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14
Explanation :
(3x^5-12x^4+12x^3+30x^2-39x-42)/3 = x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14
-560.114 a rational or irrational
Evaluate the expression when a=33 and b=5 .
a-{20}{b}\)
Step-by-step explanation:
a = 33
b = 5
= a - 20/b
= 33 - 20/5
= 33 - 4
= 29
help whats Solve for
x
5
x
+
5
≤
3
x
+
4
Answer: 5x + 5 ≤ 3x + 4 is x ≤ -1/2.
Step-by-step explanation:
To solve for x in the inequality 5x + 5 ≤ 3x + 4, we can follow these steps:
First, simplify both sides of the inequality by combining like terms:
5x + 5 ≤ 3x + 4
2x + 5 ≤ 4
Next, isolate the variable term on one side of the inequality by subtracting 2x from both sides:
2x + 5 - 2x ≤ 4 - 2x
5 ≤ 4 - 2x
Now, isolate the variable by subtracting 4 from both sides and then multiplying both sides by -1 to reverse the inequality:
5 - 4 ≤ -2x
1 ≤ -2x
-2x ≥ 1
Finally, solve for x by dividing both sides by -2 and flipping the direction of the inequality:
x ≤ -1/2
Therefore, the solution to the inequality 5x + 5 ≤ 3x + 4 is x ≤ -1/2.
The monthly rent charged for a store at Center Street Mall is $ 2 per square foot of floor area. The floor plan of a store at Center Street Mall is shown in the figure below, with right angles as indicated and all distances given in feet. How much monthly rent is charged for this store?
$1,656
$1,872
$6,624
$7,380
$7,488
Rewrite the addition problem using the GCF and the Distributive Property (Angry Birds). 25 + 100
Answer:
25(1) + 25(4)
Step-by-step explanation:
25 is the greatest common factor of both 25 and 100.
If you distribute it out, 25 x 1 = 25 and 25 x 4 = 100
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At an ice carving competition, each carver starts with a block of ice with the dimensions shown. The block is
wrapped in a special reflective material to keep it from melting before the competition starts.
1.1 m
0.8 m
1.3 m
How much reflective material is needed to cover the block completely, without any overlaps?
Give an exact answer (do not round).
m?
So, what you are supposed to find here is the surface area of this rectangular prism. So the answer is 52 units of the special reflective material is needed.
Since total surface area of a rectangular prism = 2(lb + bh + hl)
Where l = length of the ice block
b = width of the ice block
h = height of the ice block
Now total surface area for the given dimensions = 2(4×2 + 2×3 + 3×4)
= 2(8 + 6 + 12)
Answer:
It's 6.7
Step-by-step explanation:
Got 52 on Khan Academy for you. It's 6.7
Use Evcel fo find the probabinty that in 112 trials with probabinty
0.42
of success that there are 30 or fewer suce ses. Round to 6 decimaiplaces Type your answer hern
Answer:
0.5
Step-by-step explanation:
0.5=0.42 then the answer is 0.5
When planning a study from which you will calculate a confidence interval, your goal should be to have a confidence interval that has a: high confidence level and a low margin of error. low confidence level and a high margin of error. high confidence level and a high margin of error. low confidence level and a low margin of error.
When planning a study from which you will calculate a confidence interval, your goal should be to have a confidence interval that has a high confidence level and a low margin of error.
What is a confidence interval?The range of values that are most likely to contain a population parameter with a certain level of confidence is referred to as a confidence interval (CI).
It is a statistical approach to define a range of values that is likely to contain a population parameter with a specific degree of confidence (usually 95%). It is used to estimate the precision of a sample statistic and to determine a margin of error that represents the variability inherent in the estimation of the population parameter.
How can you calculate a confidence interval?To determine a confidence interval, follow these steps:
Determine the level of confidence. Find the sample's mean and standard deviation. Determine the sample size. Calculate the standard error of the mean. Determine the critical value for the confidence interval. Calculate the confidence interval's upper and lower limits by multiplying the critical value by the standard error of the mean and adding and subtracting it to the mean.Learn more about confidence interval at
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Can someone please help me with math.
Given that 16³ = 4,096, find the cube of 160.
Greetings from Brasil...
According to the properties of potentiation:
(aⁿ . bⁿ) = (a . b)ⁿ
then
160 = 16 . 10
160³ = (16 . 10)³ = 4096000
A number, n, is multiplied by −0. 7. The product is -1/2. What is the value of n?
Step-by-step explanation:
-0.7n = -1/2
-0.7n = -0.5
n = 0.5/0.7
n = 0.715
explain how to solve 5^x-2 = 8 using the change of base formula log y= log y/log b include the solution for x in your answer round your answer to the nearest tenth
The solution for x in the equation 5^(x-2) = 8 is approximately 4.8 (rounded to the nearest tenth).
To solve the equation 5^(x-2) = 8, we can use the change of base formula for logarithms. The change of base formula states that for any positive base b and positive numbers x and y, we have:
log base b of y = log base c of y / log base c of b,
where c can be any positive base except 1.
Let's apply the change of base formula to the given equation:
5^(x-2) = 8.
Taking the logarithm of both sides using the base 5, we get:
log base 5 of (5^(x-2)) = log base 5 of 8.
Applying the change of base formula with c = 5, we have:
(x - 2) = log base 5 of 8 / log base 5 of 5.
Since log base 5 of 5 is equal to 1, we can simplify the equation further:
(x - 2) = log base 5 of 8 / 1.
(x - 2) = log base 5 of 8.
Now, to isolate x, we can add 2 to both sides:
x = log base 5 of 8 + 2.
Evaluate log base 5 of 8, we find:
x ≈ 2.7712 + 2.
x ≈ 4.7712 (rounded to the nearest tenth).
The solution for x in the equation 5^(x-2) = 8 is approximately 4.8 (rounded to the nearest tenth).
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Which expressions are factors of this polynomial? Select all the correct answers. 2x^4+x^3-29x^2-34x+24
Answer:
-2x=24 x=-12. 4(x – 3) = 2(x+8). 48-12=2x+16 ax=28. (x=14. -X-3=7. 8. 3 x 10.
Step-by-step explanation:
Given the velocity v = ds/dt and the initial position of a body moving along a coordinate line, find the body's position at time t. v = 9.8t + 9, s(0) = 17
We are given v = ds/dt, v = 9.8t + 9, s(0) = 17. We need to find the position of a body moving along a coordinate line at time t.
Using the formula of velocity, we can integrate it with respect to t to find the position of the body at any time t. The formula for velocity is:v = ds/dt... (1) Integrating equation (1) with respect to t, we get's = ∫vdt + C ...(2)
Here, C is the constant of integration, and it is found using the given initial position. Given, s(0) = 17Substitute s = 17 and t = 0 in equation (2).17 = ∫(9.8t + 9)dt + C [∵ s(0) = 17]17 = 4.9t² + 9t + C
Therefore, C = 17 - 4.9t² - 9tOn substituting the value of C in equation (2), we get:s = ∫vdt + 17 - 4.9t² - 9t ...(3)Now, we can substitute the given velocity, v = 9.8t + 9, in equation (3).s = ∫(9.8t + 9)dt + 17 - 4.9t² - 9ts = 4.9t² + 9t + 17 - 4.9t² - 9ts = 9t + 17
Hence, the position of the body at time t is 9t + 17 units.
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A measurable quantity that is inherent in the problem is called a(n) B) uncontrollable variable. C) algorithm. E) enumeration variable. A) decision variable. D) parameter
The correct answer is D) parameter. A parameter is a measurable quantity that is inherent in the problem and is usually set by external factors. A measurable quantity that is inherent in the problem is called a D) parameter.
A parameter is a measurable and fixed value that characterizes a particular aspect of a problem, while a variable can change during the course of the problem-solving process. Decision variables are the unknowns that you need to find in order to optimize a problem, and uncontrollable variables are factors that cannot be controlled during an experiment or problem-solving process. An algorithm is a step-by-step procedure to solve a problem, and an enumeration variable is not a relevant term in this context. Parameters are used to define the boundaries of a problem and are often used in mathematical models to represent real-world situations. They differ from variables, which can change and are often used to represent unknowns in a problem, and from uncontrollable variables, which cannot be directly controlled or manipulated by the decision-maker.
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A large cheese pizza costs $18. Each topping you add on costs $1.50. How much would it cost to get a large cheese pizza with c toppings added?
Answer:\(18+1.5c\)
Step-by-step explanation:
Given
A large cheese pizza costs $18
Each topping add on costs $1.50
for c toppings added, the prize becomes
\(\Rightarrow 18+1.5\times c\\\Rightarrow 18+1.5c\)
find the value of p q and r
The value of p, q, and r cannot be found without more information about what the variables represent and any equations or relationships that they may be a part of.
Please provide more context or information about the problem you are trying to solve.
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ABCD and EFII GĦ. Use the figure above to find the value of each angle.
Give an explanation for each angle value.
Hope these help but i wrote all of it out with all its geometrical reasons
PLEASE HELP I DONT UNDERSTAND
9
In right triangle XYZ, _X and Z are complementary angles and cos(x)is 11. What is sin(Z)?
9
OA.
B. 1/2
11
mus 网。
C.
20
9
20
11
D.
Reset
Next
Answer:
A
Step-by-step explanation:
Using the cofunction identity
cos(90 - x) = sinx , or
sin(angle) = cos(complement of angle)
x and z are complementary angles , x + z = 90 , then
sinz = cosx = \(\frac{9}{11}\)