Answer:
3.4
Explanation and Check part below
Hope this helps :)
Step-by-step explanation:
Steps
1. Isolate the variable subtract 4.25 since it's positive.
4.25 - 1.25x = 0
- 4.25 - 4.25
- 1.25x = - 4.25
2. Divide by - 1.25 in both sides of equation.
- 1.25x = - 4.25
--------- ---------- <------- fraction bar/ divide
-1.25 -1.25
x = 3.4
Check:
4.25 - 1.25 (3.4) = 0
4.25 - 4.25 = 0
0 = 0
True statement.
15. Are the two triangles similar?
Yes or no? I think yes.
How do you know? I said, "The corresponding angles are congruent."
16. Are the two triangles similar?
Yes or no?
How do you know?
17. Are the two triangles similar?
Yes or no?
How do you know?
18. Are the two triangles similar?
Yes or no? I said yes
How do you know? I said, "The corresponding angles are congruent."
Are my answers to 15 and 18 correct? what are the answers to the others? Thank you
Answer:
18 is correct. I cannot read 16. The sum of the interior angles must be 180.
16) The triangles are similar because the corresponding sides are proportional \(\frac{16}{8}\) = \(\frac{12}{6}\) = \(\frac{10}{5}\)
17) The triangles are not similar because the corresponding sides are not proportional \(\frac{20}{5}\)≠ \(\frac{18}{4}\) ≠ \(\frac{16}{3}\)
Step-by-step explanation:
If 2x - 3x = 3 what is 16x / 64x?
Answer:
\(\frac{1}{4}\)
Step-by-step explanation:
The problem \(2x - 3x = 3\) is incorrect. The correct answer for that one is \(-x \:\sf{or\:-1\)
\(\sf{Simplify\: the\: expression.\)
\(\sf{\frac{16x}{64x} = \frac{1}{4}\)
\(x=\frac{1}{4}\)
Therefore, the answer is \(\frac{1}{4}\)
3x-12y = 16 and x-4y = 2 solve using elimination
Answer:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Step-by-step explanation:
A 160-lb man carries a 5-lb can of paint up a helical staircase that encircles a silo with radius 20 ft. If the silo is 90 ft high and the man makes exactly three complete revolutions, how much work is done by the man against gravity in climbing to the top
Weight of man and paint = 160 + 5 = 165 total pounds.
Gravitational force is independent of the path taken so we can ignore the radius of the silo.
Work done = total weight x height
The problem says he climbs to the top so overall height is 90 feet
Work = 165 lbs x 90 ft = 14,850 ft-lbs
Why does 5(x+20) equal 15x? I'm so confused.
Answer:
Nobody knows its a mistery :'D
Answer:
Because lma/os
Step-by-step explanation:
5 ( x + 20 )
-----------------
1. Simplifly
2. Distribute
3. 5 ( x + 20 )
5 x + 100
what is the value of x^2 - 6x + 9 when x = 2 + i?
The Expression x^2 - 6x + 9 when x = 2 + i is -2i
To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:
(2 + i)^2 - 6(2 + i) + 9
Simplifying the first term, we get:
(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2
Since i^2 = -1, we can substitute that in and simplify further:
(2 + i)^2 = 4 + 4i - 1 = 3 + 4i
Now we substitute this into the original expression:
(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9
Simplifying further, we get:
= 3 + 4i - 12 - 6i + 9
= 0 - 2i
= -2i
Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.
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Please help I will mark you a brainliest
Answer:
\(sin\;60 =\frac{\sqrt{3} }{2}\)
5/4 to the 3rd power
Answer:
1.953125 is the answer I believe
or 125/64
or 1 61/64
simplify 9/14divided7/10
Answer:
45/49
Step-by-step explanation:
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
9/14 * 10/7 = 90/98
divide the numerator and the denominator by 2.
90 * 2 = 45
98 * 2 = 49
45/49
David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500. How much would David make as a salary after 4 years working for the company? What would be his salary after t t years?
Answer:
After 4 years working for the company, he would make $79,000 of salary.
His salary after t years will be:
[te]S(t) = 69000 + 2500t\)
Step-by-step explanation:
David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500.
This means that after t years, his salary will be given by:
[te]S(t) = 69000 + 2500t\)
How much would David make as a salary after 4 years working for the company?
[te]S(4) = 69000 + 2500*4 = 69000 + 10000 = 79000\)
After 4 years working for the company, he would make $79,000 of salary.
Need help ASAP
the value of each variable. If your answer is not
teger, express it in simplest radical form.
The length of a is
The length of b is
(Simplify your answer.)
Answer:
me too (help)
Step-by-step explanation:
Nori had 2 2/12 bags of apples he used 1 5/12 bags of apples to make pies how many bags of apples does nori have left
Answer:
2 2/12 1 5/12
2-1
1 2/12 - 5/12
7/12 bags of apples left
Step-by-step explanation:
Find the area
AC = 8m, BD = 6m
Answer:
24 m²
Step-by-step explanation:
The area of a rhombus is the product of the two diagonals over 2
A= (8*6)/2 = 24 m²how is 3^2 different from (-3)^2?
Given the following question:
3^2 = 3 * 3 = 9
(-3)^2 = -3 * -3 = 9
They are different because one is the multiplication of negative integers while the other isn't. Since a negative times a negative is a positive.
They are similar because they both have the same answers.
Multiply the brackets and then simplify (x-2)(2x^2-3x-2)
Can someone please show how they work this out? As I don't know where I'm going wrong?
x x 2x^2 = 2x^3 -2x 2x^2= -8x^2
x x 3x = 3x^2 -2 x -3x= 6x
x x -2 = -2x -2 x -2 = 4
2x^3
*middle bit should be 7x^2 * (but i keep getting -3x^2 + -8x^2 = -11x^2)
2x+6x= 4x
4
Step-by-step explanation: when we have a binomial multiplied by a trinomial, we need to distribute all the terms in the binomial through all the terms on the trinomial.
So distributing the x through the parentheses, we get
2x^3 - 3x^2 -2x
Now we distribute the-2 through the parentheses.
so we get -4x^2 + 6x + 4.
Now combine to get 2x^3 - 7x^2 + 4x + 4.
If 8 is subtracted from seven times a certain number, the result is the same as if 28 is added to three times the number. Find the number.
Answer:
-2
Step-by-step explanation:
Sol`n:
A/C to the question,
A certain number be x,
Then,
8-7x=28+3
or,8-28=3x+7x
or,-20=10x
or,-20/10=10x
or,-2=x
or, x=-2
Therefore , The number is -2.
find f such that f’(x)=x^2-9 and f(0)=7
The function f such that f'(x) = x² - 9 and f(0) = 7 is given by, f(x) = x³/3 - 9x + 7.
Given that the differentiated function is,
f'(x) = x² - 9
We have to do integration the function in order to get the initial function that is f(x).
f(x) = ∫(x² - 9).dx = ∫x².dx - ∫9.dx = x³/3 - 9x + c, where c is an integration constant.
f(x) = x³/3 - 9x + c
Again it is given that f(0) = 7.
f(0) = 7
0³/3 - 9*0 + c = 7
c = 7
Hence the function is, f(x) = x³/3 - 9x + 7.
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Can you help me please thank you
With what?
Where is the picture
Answer:
b
Step-by-step explanation:
i just answered the same thing earlier
b. The product (a - b)(a + b) is called the
when simplified, it is called
of two squares and, when simplified it is equivalent to
The product (a - b)(a + b) is called the special binomial product, when simplified it is called algebraic identity of two squares and, when simplified it is equivalent to a² - b²
What is simplification?An equivalent, simpler (typically shorter) mathematical expression is substituted for the original one through the process of simplification.
Computer algebra's simplification of algebraic expressionsLogic optimization involves simplification of boolean expressions.A more straightforward but typically non-equivalent formula results from simplification of conjunction elimination in inference in logic.simplification of fractionsIn propositional logic, simplification is a valid immediate inference, argument form, and inference rule that draws the conclusion that if the conjunction A + B is true, then A + B is true as well. By deriving one of the conjuncts of a conjunction on a line by itself, the rule enables the brevity of longer proofs.
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Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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Calculus BC Help - Series
6. Let f be the function defined by f(x)=1x2+9.
(a) Evaluate the improper integral ∫∞3f(x) dx, or show that the integral diverges.
(b) Determine whether the series ∑n=3∞f(n) converges or diverges. State the conditions of the test used for determining convergence or divergence.
(c) Determine whether the series ∑n=1∞(−1)n(en⋅f(n))=∑n=1∞(−1)n(n2+9)en converges absolutely, converges conditionally, or diverges.
Answer:
So you have a power of x^2, notice if you have a harmonic series, or if it looks familiar, which it should, hint (1/x) Now integrate: let u= x/3 dx=3dunow integral (1/u^2+1) recognize thats arcso you get a result of: arctan(x/3)/3+cSolve the equation.
-3/5 x = 9
Alex learned 80 new vocabulary words for his English exam. The following function gives the number of words he remembers after t days: W(t) = 80(1 - 0.1t)^3 What is the instantaneous rate of change of the number of words Alex remembers after 5 days? Choose 1 answer: A. 10 days B. 10 words per day C. -6 days D. -6 words per day
The instantaneous rate of change is -6 words per day,
the number of words Alex remembers after 5 days, option (D).
What is the instantaneous rate of change ?
An instantaneous rate is the rate at some instant in time. An instantaneous rate is a differential rate: -d[reactant]/dt or d[product]/dt. We determine an instantaneous rate at time t: by calculating the negative of the slope of the curve of concentration of a reactant versus time at time t.
Have given,
Alex learned 80 new vocabulary words
and after t days he learned,
W(t) = \(80 (1-0.1t)^{3}\)
differentiate respect of t
W'(t) = \(80 \frac{d}{dt} (1-0.1t)^{3}\)
W'(t) = \(80 * 3(1-0.1t)^{2} \frac{d}{dt}(1-0.1t)\)
W'(t) = \(240(1-0.1*5)^{2} (0.1)\)
W'(t) = 6
That's mean , the instantaneous rate of change is -6 words per day.
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What is m<1 for the following
Answer:
m∠1 = 100°
Step-by-step explanation:
Given the function g(x) = |× + 31, describe the graph of the function, including the vertex, domain, and range.
The graph of the function is V-shaped, vertex domain and range are (-3,0), all the real values and [0, ∞);
What is the absolute value function?The absolute value function, with vertex (h,k), is defined as follows:
y = |x - h| + k.
The features of the function are given as follows;
Vertex: (h,k).
Domain: All real values;
Range: [k, ∞).
Given;
g(x) = |× + 31|
Therefore, for the first item of the function is |x + 3|, since we just have to identify the features;
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If a jogger runs 2 miles and burns 185 calories, how many calories would he burn
jogging 3 miles?
Answer:
277.5
Step-by-step explanation:
Divide 185 by 2, and you get 92.5. Add that to 185 and you get 277.5
What is the slope of the following line?
Answer:c, the answer is c
Step-by-step explanation:
Graph the line. pllzzzzzzzz
Answer:
Step-by-step explanation:
X: -2, -1, 0, 1, 2,...
Y: -2, -1, 0, 1, 2,...
(y=x)
The first shelf on Hannah’s bookshelf hoods an equal number of fiction and nonfiction. If Hannah’s selects 5 books randomly, what is the probability that 3 of the books will be fiction and 2 will be nonfiction
Answer:
The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
Step-by-step explanation:
What is probability?
Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.
To find which 2 books describe a pair of dependent events:
A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.
Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.
Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.
Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.
Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
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decrease 600 by 3.5%
Answer:
579
Step-by-step explanation:
3.5/100 × 600 = 21
600 - 21 = 579