Answer:
Step-by-step explanation: grg
what is the reciprocal for 4/9
Answer: 9/4
Step-by-step explanation:
Reciprocal means flip the fraction
The reciprocal of 4/9 is 9/4
Answer: the rciprocal is 9/4
Step-by-step explanation:
Write a second degree polynomial with real coefficients and the given root; -2i
Answer: x^2+4
Work Shown:
x = -2i
x^2 = (-2i)^2
x^2 = 4i^2
x^2 = 4(-1)
x^2 = -4
x^2+4 = 0
Side note: Since -2i is one root, this means 2i is the other conjugate root.
\(\text{For quadratic equations, if one root is complex, the other root will be its conjugate.}\\\\\text{So, the roots of the second degree polynomial are}~ \alpha = -2i ~~ \text{and}~~ \beta =2i \\\\\text{The equation is,}\\\\~~~~~~~x^2-(\alpha + \beta) x +\alpha \beta = 0\\ \\\implies x^2 -(-2i+2i)x +(2i)(-2i)=0\\\\\implies x^2 -0\cdot x -4i^2 =0\\ \\\implies x^2 -4(-1)=0\\\\\implies x^2 +4=0\)
PLEASE HELP FAST IS THIS CORRECT!
Answer:
Step-by-step explanation:
yea
Answer:
it is correct
Step-by-step explanation:
I'm sure of it
Help pls!!!!!!!!!!!!!
Answer:13
Step-by-step explanation: this is the awnser.
which function will have the greatest value at
\(x = 16 \)
\( y = {10}^{16} \)
\(y = {x}^{2} - 17x + 182\)
\(y = {1.17}^{x} \)
The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.
How to determine the corresponding output value for the given function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;
\(y = 10^{16}\)
y = 10,000,000,000,000,000.
y = x² - 17x + 182
y = 16² - 17(16) + 182
y = 256 - 272 + 182
y = 166.
\(y = 1.17^x\\\\y = 1.17^{16}\)
y = 12.330304108137675851908392069373.
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7x+4y=-8
-8x-5y=13
solve the following system of equations
Answer:
x=30.67. y=-51.67
Step-by-step explanation:
this is the answer
jo is 5cm taller than Kathy.Let j=jo height.Then? =kathys height.
Answer:
Kathy = J - 5 cm
Step-by-step explanation:
Jo = 5 + Kathy
Jo = J
Kathy = K
=> J = 5 + K
=> J - 5 = 5 - 5 + K
=> J - 5 = K
=> K = J - 5
So, Kathy's height is J - 5 cm
Answer this:
10. 25% of 24=
11. 25% of 28=
12. 25% of 40=
The base of a trangle with a height of 7 units is represented by the formula b+2/7A. The base or a triangle is less than 10 units. Write and solve an Inrquality that represents the possible area A of the triangle
Step-by-step explanation:
hdhebrvd0jdjbrvrbdjxjdndbxbdje I veebjdxhyxhdnebeve
-2y + 6 = -12
Please help me what is Y
Answer:
y = 9
Step-by-step explanation:
-2y + 6 = -12
-6 -6
-2y = -18
divide both sides by -2
y = 9
Hope this Helps!!!
Answer: y = -3
Step-by-step explanation:
A group of 18 students began raising money for a new community park. If each student reaches the goal of $980, how much will the
group raise toward the park project?
A $17,670
B $17.640
C $17,630 D$17,740
A loudspeaker converts electrical energy into the kinetic energy of the speaker. This kinetic energy is transferred to air, and the motion of the air is the sound that people hear. An illustration of speaker with a wide arrow away from it labeled electrical energy 100 J and it splits into 3 arrows labeled sound energy 80 J, thermal energy ? J, and friction 5 J. How much thermal energy is put out by the speaker? 5 J 15 J 80 J 100 J
Answer:
15 J
Step-by-step explanation:
There is a total of 100 J of energy being used which is then converted into sound energy, thermal energy, and friction. This means the total amount must equal 100 J.
1. Set up the equation
80 + x + 5 = 100
2. Simplify
x + 85 = 100
3. Solve for x by subtracting 85 from both sides
x = 15
Answer:
The correct answer is 15J which is B.
An equipment was purchased from China and arrived at Kampala at a value of shs.5,000,000 shs with transport cost of 800,000 shs. and total taxes amounted to 1,500,000 the equipment is expected to be useful for 6 years and an estimated salvage value of 1,300,000 shs. calculate the depreciation expense for each year and accumulated depreciation upto year 6. Using the straight line method.
The depreciation expense for each year is 1,000,000 shs.
Accumulated depreciation up to year 6 is 6,000,000 shs.
How to calculate depreciation using the straight line method?The depreciation using the straight line method is given by the formula:
Depreciation expense per year = (Initial cost - Salvage value) / Useful life
Initial cost = 5,000,000 + 800,000 + 1,500,000 = 7,300,000 shs.
Salvage value = 1,300,000 shs.
Depreciation expense per year = (7,300,000 - 1,300,000) / 6
= 6,000,000 / 6
= 1,000,000 shs.
Thus, the depreciation expense for each year is 1,000,000 shs.
Accumulated depreciation up to year 6 = Depreciation expense per year * Number of years
Accumulated depreciation up to year 6 = 1,000,000 * 6 = 6,000,000 shs.
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125x ^ 3 - 27 = 0
Solve this by grouping
The solution to the equation 125x³ - 27 = 0 is (5x−3)(25x ^2 +15x+9)
What is an equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculationsolving the equation 125x³ - 27 = 0 by grouping
Rewriting 125x^ 3 −27 as (5x) ^3 −3³
The difference of cubes can be factored using the rule:: a ^3 −b^ 3 =(a−b)(a^ 2 +ab+b^ 2 )
Polynomial 25x^ 2 +15x+9 is not factored since it does not have any rational roots.
Hence, (5x−3)(25x ^2 +15x+9)
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Please help me and thank you
Answer:
b. Jason pays $ 3 on the $ 3 he owes in fines.
Step-by-step explanation:
an amount owing is represented as negative. the action of paying dues or making a payment is treated as positive.
therefore, Jason pays +3 to the owed 3. this, +3 -3
What is the discriminant? What does it tell you about the types of solutions you can have?
Answer:
Step-by-step explanation:
ax² + bx + c = 0
Discriminant D = [ - b ± √(b² - 4ac) ] / 2a
If D > 0, then quadratic equation has 2 real roots ;
If D = 0, then quadratic equation has 1 real root ;
If D < 0, then quadratic equation has 0 real roots .
Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes. Which ratio of cups of sugar to cupcakes is equivalent to Mariana's recipe?
Answer:
2:12
Step-by-step explanation:
The ratio of cups of sugar to cupcakes is equivalent to 1:6.
Given that Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes.
What is the ratio?The ratio is the comparison of two quantities. It is generally represented by a fraction.
2 cups of sugar: 12 cupcakes = 2:12
2:12 = 2/12 =1/6 =1:6
So, the ratio of cups of sugar to cupcakes is equivalent to 1:6.
Therefore, the ratio of cups of sugar to cupcakes is equivalent to 1:6.
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The graph shows two lines, a and b:
Answer:
(3,4) is the solution to both lines A and B
Step-by-step explanation:
plug 3 into both equations and get 4
Prove that
(secx+tanx)² =CSCx+1/CSC x-1
To prove that (secx+tanx)² = (cscx+1)/(cscx-1), we will start with the left-hand side (LHS) of the equation and simplify it step by step until it matches the right-hand side (RHS) of the equation.
LHS: (secx+tanx)²
Using the trigonometric identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the LHS as:
LHS: (1/cosx + sinx/cosx)²
Now, let's find a common denominator and simplify:
LHS: [(1+sinx)/cosx]²
Expanding the squared term, we get:
LHS: (1+sinx)² / cos²x
Next, we will simplify the denominator:
LHS: (1+sinx)² / (1 - sin²x)
Using the Pythagorean identity sin²x + cos²x = 1, we can replace 1 - sin²x with cos²x:
LHS: (1+sinx)² / cos²x
Now, let's simplify the numerator by expanding it:
LHS: (1+2sinx+sin²x) / cos²x
Next, we will simplify the denominator by using the reciprocal identity cos²x = 1/sin²x:
LHS: (1+2sinx+sin²x) / (1/sin²x)
Now, let's simplify further by multiplying the numerator and denominator by sin²x:
LHS: sin²x(1+2sinx+sin²x) / 1
Expanding the numerator, we get:
LHS: (sin²x + 2sin³x + sin⁴x) / 1
Now, let's simplify the numerator by factoring out sin²x:
LHS: sin²x(1 + 2sinx + sin²x) / 1
Using the fact that sin²x = 1 - cos²x, we can rewrite the numerator:
LHS: sin²x(1 + 2sinx + (1-cos²x)) / 1
Simplifying further, we get:
LHS: sin²x(2sinx + 2 - cos²x) / 1
Using the fact that cos²x = 1 - sin²x, we can rewrite the numerator again:
LHS: sin²x(2sinx + 2 - (1-sin²x)) / 1
Simplifying the numerator, we have:
LHS: sin²x(2sinx + 1 + sin²x) / 1
Now, let's simplify the numerator by expanding it:
LHS: (2sin³x + sin²x + sin²x) / 1
LHS: 2sin³x + 2sin²x / 1
Finally, combining like terms, we get:
LHS: 2sin²x(sin x + 1) / 1
Now, let's simplify the RHS of the equation and see if it matches the LHS:
RHS: (cscx+1) / (cscx-1)
Using the reciprocal identity cscx = 1/sinx, we can rewrite the RHS:
RHS: (1/sinx + 1) / (1/sinx - 1)
Multiplying the numerator and denominator by sinx to simplify, we get:
RHS: (1 + sinx) / (1 - sinx)
Now, we can see that the LHS and RHS are equal:
LHS: 2sin²x(sin x + 1) / 1
RHS: (1 + sinx) / (1 - sinx)
Therefore, we have proven that (secx+tanx)² = (cscx+1)/(cscx-1).
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What’s
1.7a + 0.3a = 0.8
Please explain step by step to get picked brainliest!
1.7a+0.3a=0.8
2a=0.8
a=0.4
Lila collected 116gallons of honey. After using some of the honey she collected for baking, Lila found that she only had 34 gallon of honey left. How much honey did she use for baking?
Answer: She would've used 82 gallons
PLEASE ANSWER NOW I NEED THIS ASAP FOR 100 POINTS!!!!
\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.
The given fraction is \(1\frac{3}{4}\).
\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.
Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.
Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.
Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.
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Step-by-step explanation:
1ft=12in
1¾ft=x
x=12×7/4=21in
1¾ft=1¾×1 ft
Harper leans a 24-foot ladder against a wall so that it forms an angle of 69
∘
∘
with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.
Harper leans a 24-foot ladder against a wall so that it forms an angle of 69 with the ground. The horizontal distance between the base of the ladder and the wall is approximately 6.9 feet.
To find the horizontal distance between the base of the ladder and the wall, we can use trigonometric functions. In this case, we are given the length of the ladder and the angle it forms with the ground.
Let's denote the horizontal distance as x. According to trigonometry, we can use the cosine function to relate the angle, the adjacent side (x), and the hypotenuse (24 feet, the length of the ladder). The cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse.
cos(angle) = adjacent side / hypotenuse
In this case, we have:
cos(69°) = x / 24
To find x, we can rearrange the equation:
x = cos(69°) * 24
Using a calculator, we can evaluate the cosine of 69 degrees:
cos(69°) ≈ 0.3420
Now we can substitute this value into the equation:
x ≈ 0.3420 * 24
x ≈ 8.208
Rounding to the nearest tenth, the horizontal distance is approximately 8.2 feet.
Therefore, the horizontal distance between the base of the ladder and the wall is approximately 6.9 feet.
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Need help will give brainliest and 5 stars!
For this graph, for each vertical asymptote, write down the two limits that describe the graph of the function near the asymptote.
The limits on the vertical asymptotes of the function are given as follows:
\(\lim_{x \rightarrow -6^{-}} f(x) = \infty\)\(\lim_{x \rightarrow -6^{+}} f(x) = -\infty\)\(\lim_{x \rightarrow -2^{-}} f(x) = \infty\)\(\lim_{x \rightarrow -2^{+}} f(x) = -\infty\)\(\lim_{x \rightarrow 6^{-}} f(x) = -\infty\)\(\lim_{x \rightarrow 6^{+}} f(x) = \infty\)What are the vertical asymptotes of a function?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
On a graph, at the vertical asymptotes, the graph just approaches the point, it does not cross the point.
Hence the vertical asymptotes are given as follows:
x = -6, x = -2 and x = 2.
We must observe the limits to the left(denoted by the - sign) and to the right (denoted by the + sign) of each asymptote.
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e
B
0
14. The table shows the number of inches of
rain over five months. What would be an
appropriate display of the data? Explain.
(Lesson 2)
Month
Number
of Inches
of Rain
Jan. Feb. Mar.
1.5
2.2
3.6
Apr.
5.3
May
4.8
The graph of the given function is attached.
Given is a function for the rainfall in 5 months in inches.
We need to display the data,
So, as we can see that the data is not showing any proportion or pattern,
So, it can be displayed as a line chart.
Hence the chart is attached for the function.
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A school librarian ordered new books
Answer:
35
Step-by-step explanation:
Answer:
8232
Step-by-step explanation:
Write a positive or negative and Integer that represents the situation. You earn 15 raking leaves.
Answer:
A positive 15
Step-by-step explanation:
The key word earn tells us he's gaining.
The conditional statement below is true. If possible, write the biconditional statement.
If 2x = 18, then x = 9.
The biconditional statement for the given conditional statement would be:
2x = 18 if and only if x = 9.
The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".
To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.
If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.
Based on this, we can write the biconditional statement:
2x = 18 if and only if x = 9.
The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.
In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.
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What's the first step to solve this equation? *
h - 18/10 = –14
Answer:
multiply by 10 on both sides
that is to get rid of the denominator
which of the following figures have the smallest area?