Answer:
On dividing, we found that the quotient is (x-4) and the remainder is equal to 0.
Step-by-step explanation:
We need to find the quotient and the remainder for the following (x²-10x+24)÷(x+6).
The numerator is (x²-10x+24) and the denominator is (x+6). It can be written as :
[tex]\dfrac{x^2-10x+24}{x+6}=\dfrac{(x-4)(x-6)}{(x+6)}\\\\=(x-4)[/tex]
On dividing, we found that the quotient is (x-4) and the remainder is equal to 0.
given sin x =-4/5 and x is in quadrent 3, what is the value of tan x/2
Answer:
We can write sin x in terms of tan x/2 using the formula:
⇒ sin x = (2 tan (x/2)) / (1 + tan2(x/2))
Therefore, using the above formula, we can find the values of tan x/2 by putting the value of sin x.
⇒ -4/5 = (2 tan (x/2)) / (1 + tan2(x/2))
Now, if we replace tan (x/2) by y, we get a quadratic equation:
⇒ 0.8y2 + 2y + 0.8 = 0
⇒ 2y2 + 5y + 2 = 0
By using the quadratic formula, we get y = -0.5, -2
Hence, the value of tan (x/2) = -0.5, -2
Now, we have two solutions of tan (x/2).
Now, let's check for the ideal solution using the formula tan x = (2 tan (x/2)) / (1 - tan2(x/2)).
For tan (x/2) = -0.5:
⇒ tan x = 2(-0.5) / 1 - (-0.5)2 = -4/3
It is also given that x lies in the third quadrant. We know that tan is positive in the third quadrant, and here we get tan x = -4/3 which is negative.
Hence, we can say that tan (x/2) = -0.5 is not a correct solution. Hence it is rejected.
Now let's check for tan (x/2) = -2.
⇒ tan x = 2(-2) / 1 - (-2)2 = 4/3
Here, we get tan x = 4/3 which is positive.
Hence, we can say that tan (x/2) = -2 is a correct solution.
Hurry which one ITS NOT 270
A.84
C.128
D.540
Answer:
84 cm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the length of the base and h is the height
A = 1/2 ( 5+9) * 12
A = 1/2 (14) * 12
A =84
In a political science class, the teacher gives a midterm exam and a final. The association between midterm and final scores is linear. The summary statistics are shown below. Midterm Mean=75, Midterm Standard Deviation=10 Final Mean=75, Final Standard Deviation=10 r=0.8 According to the regression equation, for a student who gets 85 on the midterm (one standard deviation above average) what is the predicted final exam grade?
Answer:
The predicted final exam grade is 83
Step-by-step explanation:
Given
[tex]\bar x = 75[/tex] -- midterm mean
[tex]\sigma_x = 10[/tex] --- midterm standard deviation
[tex]\mu =75[/tex] --- final mean
[tex]\sigma = 10[/tex] --- final standard deviation
[tex]r = 0.8[/tex]
Required
The predicted final grade of student who score 85 in midterm
The prediction is represented as:
[tex]y = \alpha + \beta x[/tex]
Where:
[tex]\beta = r * \frac{\sigma}{\sigma_x}[/tex]
[tex]\beta = 0.8 * \frac{10}{10}[/tex]
[tex]\beta = 0.8 * 1[/tex]
[tex]\beta = 0.8[/tex]
and
[tex]\alpha = \mu - r * \bar x[/tex]
[tex]\alpha = 75- 0.8 * 75[/tex]
[tex]\alpha = 75- 60[/tex]
[tex]\alpha = 15[/tex]
So:
[tex]y = \alpha + \beta x[/tex]
[tex]y = 15 + 0.8x[/tex]
For a student who gets 85, the prediction is:
[tex]y = 15 + 0.8*85[/tex]
[tex]y = 15 + 68[/tex]
[tex]y = 83[/tex]
select the two transformations that are required to turn the graph of y = sin x into the graph of y = -5 sin x
A) horizontal translation
B) vertical translation
C) vertical dilation
D) reflection about the x-axis
Answer:
C and D
Step-by-step explanation:
see picture (plotted it to clarify both functions)
show how to solve 1/4 (4 + x) = 4/3
pls solve for 2 brainliest
how to find the area of a circle with the diameter 21
Answer:
A ≈ 346.36
Step-by-step explanation:
To find the answer, you must use the formula, A=πr²
Since only the diameter was provided, you need to divide it by 2 to find the radius. 21 divided by 2 equals 10.5, so that will be your radius.
Another formula that can be used while using only the diameter would be A= 1/4 π d²
There are 20 rows of seats on a concert hall: 25 seats are in the 1st row, 28 seats on the 2nd row, 31 seats on the third row, and so on. How many seats are in the last row?
Answer:
It is a sequence topic.
The general term of the sequence is 25+3(n-1) where n is the number of the term (here it is the row no.)
So the 20th term is the term with n=20. Substitute n=20 into the above general term, we will get 25+3(20-1) .
Please go on by yourself to work out the answer.
Draw a model to represent each expression.
Answer:
OK
Step-by-step explanation:
The first screenshot is for #7 and the second screenshot is for #8
The symbols for elements with accepted names Group of answer choices consist of a single capital letter consist of a capital letter and a small letter consist of either a single capital letter or a capital letter and a small letter no answer is correct
Answer:
consist of either a single capital letter or a capital letter and a small letter.
Step-by-step explanation:
A chemical reaction can be defined as a reaction in which two or more atoms of a chemical element react to form a chemical compound.
In Chemistry, a chemical element can be defined as any pure substance that is typically made up of only atoms and cannot be broken down into simpler substances through chemical processes. Thus, the atomic number (the number of protons in the nuclei of an atom) of a particular chemical element distinguishes from other chemical elements.
Generally, all chemical elements are denoted or represented by a symbol, which may either be single capital letter or a capital letter and a small letter.
This ultimately implies that, the symbols for elements with accepted names consist of either a single capital letter or a capital letter and a small letter. For example, the symbol for sodium is Na, copper is Cu, carbon is C, oxygen is O, iron is Fe, nitrogen is N, magnesium is Mg, potassium is K, argon is Ag, hydrogen is H, helium is He, phosphorus is P, etc.
4x-2 3x+14 how do I find x?
Answer:
x = 16
Step-by-step explanation:
4x - 2 = 3x + 14
4x - 2 + 2 = 3x + 14 + 2
4x = 3x + 16
4x - 3x = 3x - 3x + 16
x = 16
Which table represents a linear function?
Answer:
Option 3 (C)
Step-by-step explanation:
It is the only one that changes the same amount every time ( times 2 )
Find the surface area of the square pyramid 8mm 6mm
Answer:
136 mm²
Step-by-step explanation:
[tex]A=a^{2} +2a\sqrt{\frac{a^{2} }{4} } +h^{2}[/tex]
[tex]A=6^{2} +2(6)\sqrt{\frac{6^{2} }{4} } +8^{2}[/tex]
[tex]A=36 +12\sqrt{\frac{36 }{4} } +64[/tex]
[tex]A=36 +12\sqrt{9 } +64[/tex]
[tex]A=36 +12(3)+64[/tex]
[tex]A=36 +36+64[/tex]
A = 136
D(p) is the price, in dollars per unit, that consumers are willing to pay for p units of an item, and S(p) is the price, in dollars per unit, that producers are willing to accept for p units. Find the equilibrium point. D(p)=3500−20p, S(p)=2500+5p
What are the coordinates of the equilibrium point?
Answer:
(40,2700)
Step-by-step explanation:
Given
[tex]D(p)=3500-20p[/tex]
[tex]S(p)=2500+5p[/tex]
Required
The equilibrium point
To do this, we have:
[tex]D(p) = S(p)[/tex]
So, we have:
[tex]2500+5p = 3500-20p[/tex]
Collect like terms
[tex]20p+5p = 3500-2500[/tex]
[tex]25p = 1000[/tex]
Divide both sides by 25
[tex]p = 40[/tex]
Substitute [tex]p = 40[/tex] in [tex]D(p)=3500-20p[/tex]
[tex]D(40) = 3500 - 20 * 40[/tex]
[tex]D(40) = 2700[/tex]
Hence, the coordinates of the equilibrium is: (40,2700)
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.
Let u= (5,-12) and c=-3.What is ||cu||?
A: -39
B: 21
C: 39
D: 51
Answer:
Option C: 39
Step-by-step explanation:
I'm good at math :)
=========================================================
Work Shown:
u = (5, -12)
cu = c*(5,-12)
cu = (5c, -12c)
cu = (5*(-3), -12*(-3))
cu = (-15, 36)
-------------------
Now we'll use the idea that if u = (a,b), then |u| = sqrt(a^2+b^2)
So this means,
cu = (-15, 36)
|cu| = sqrt( (-15)^2 + (36)^2 )
|cu| = sqrt(1521)
|cu| = 39
---------------------
Note how vector u = (5,-12) has magnitude 13 after applying that formula above. We have a 5-12-13 right triangle. If we triple each side, then the 5-12-13 becomes 15-36-39
Tripling the components of the vector means the length of the vector has been tripled.
Suppose that for a certain company C(x)=35x+300,000 represents the total cost function, and R(x)=75x represents the total revenue function. Find the total-profit function and break-even point.
Which of the following functions represents the total-profit function?
A) 40x-300,000
B) 40x+300,000
C) 110x+300,000
Answer:
40x - 300,000
7,500
Step-by-step explanation:
profit = revenue - cost
p(x) = 75x - (35x + 300,000)
p(x) = 40x - 300,000
Break even is when profit is zero
40x - 300,000 = 0
40x = 300,000
x = 7,500
The functions that represents the total-profit function would be p(x) = 40x - 300,000. so the correct option is A.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Given that for a certain company C(x) =35x+300,000 represents; the total cost function, and R(x)=75x represents the total revenue function.
WE can calculate the profit by the following formula;
Profit = revenue - cost
p(x) = 75x - (35x + 300,000)
p(x) = 40x - 300,000
Now Break even is when profit is zero,
40x - 300,000 = 0
40x = 300,000
x = 7,500
Hence, the break-even point is 7500.
Therefore, the functions that represents the total-profit function would be p(x) = 40x - 300,000. so the correct option is A.
Learn more about function here:
https://brainly.com/question/2253924
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2. How many ways can you choose a five-digit zip code with the first digit not a zero?
Answer:
90,000 ways
Step-by-step explanation:
9 × 10 × 10 × 10 × 10 = 90,000
Double a number and subtract nine. algebraic expression
Answer:
2y - 9
Step-by-step explanation:
number = y
2 × y - 9
2 × y can be simplified to 2y.
2y - 9
One of the legs of a right triangle measures 15 cm and the other leg measures 6 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
16.2 cm
Step-by-step explanation:
use the pythagoran theorem
a² + b² = c²
15² + 6² = c²
225 + 36 = c²
261 = c²
Take the square root of both sides
16.1554944214 = c
Rounded
16.2 cm
Consider this right triangle. What is the value of sin(B)?
Answer:
[tex] \frac{3}{5} [/tex]
Step-by-step explanation:
using SOHCAHTOA
[tex]sin = \frac{opposite}{hypoteneus} [/tex]
Therefore
[tex]sin = \frac{3}{5} [/tex]
The value of sin B is 3/5.
What is Trigonometry?Trigonometry is one of the branches of mathematics which deals with the relationship between the sides of a triangle (right triangle) with its angles. There are 6 trigonometric functions for which the relation between sides and angles are defined.
We have,
P = 3
B = 4
H = 5
Using Trigonometry
sin B = P /H
sin B = 3/5
Thus, the value of sin B is 3/5.
Learn more about Trigonometry here:
https://brainly.com/question/29002217
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Exponential Growth
You are a financial advisor You have a client who is 25 years old and has $10,000 they want to invest into a retirement account. After investing this money, the client will not be adding any money to the account. The money will just let it grow until the client reaches age 65 As you are helping them decide the best investment for their money, you discover the following options.
I also need account C and account D
help me please
Answer:
compounded daily as this added up would be the best
Step-by-step explanation:
Sylvia is twice as old as her brother. Find their ages now if in seven years her brother will be what her age was last year.
Answer:
Sylvia=16
brother=8
Step-by-step explanation:
8+7=15
16-1=15
I WILL GIVE BRAINLIEST!
Answer:
none of the above
Step-by-step explanation:
180-124=56
Anybody can help m out with this Please
Answer:
120°
Step-by-step explanation:
Recall:
The sum of interior angles if a parallelogram equals 360;
The sum of the angles can be defined as :
(x + 2x + x + 2x) = 360
6x = 360
x = 360/6
x = 60°
The angle BCD = 2x
Hence, angle BCD = 2(60°) = 120°
Can anyone help me solve this
[tex]\longrightarrow{\green{ D. \:3 {a}^{4} \sqrt{2a} }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \sqrt{18 {a}^{9} } \\ \\ ➝ \: \sqrt{2 \times 3 \times 3 \times {a}^{9} } \\ \\ ➝ \: \sqrt{2 \times ({3})^{2} \times {( {a}^{4}) }^{2} a } \\ \\ [∵( { {a}^{4} )}^{2} a = {a}^{4 \times 2 + 1} = {a}^{9}] \\ \\ ➝ \: 3 \times {a}^{4} \sqrt{2a} \\ \\ ➝ \: 3 {a}^{4} \sqrt{2a} [/tex]
[tex]\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
Answer:
The answer is [tex]3a^{4}\sqrt{2a}[/tex]
Step-by-step explanation:
To simplify the radical, start by factoring 9 out of 18 for step 1. Next, for step 2, rewrite 9 as [tex]3^{2}[/tex]. Then, factor out [tex]a^{8}[/tex] for step 3. For step 4, rewrite [tex]a^{8}[/tex] as [tex](a^{4})^{2}[/tex]. Then, for step 5, move the 2 in the radical. Rewrite [tex]3^{2}(a^{4})^{2}[/tex]as [tex](3a^{4})^{2}[/tex] for step 6. Then, add parentheses to the radical for step 7. Finally, for step 8 pull the terms out from under the radical, and the answer is [tex]3a^{4}\sqrt{2a}[/tex].
Step 1: [tex]\sqrt{9(2)a^{9} }[/tex]
Step 2: [tex]\sqrt{3^{2}*2a^{9}[/tex]
Step 3: [tex]\sqrt{3^{2}*2(a^{8}a) }[/tex]
Step 4: [tex]\sqrt{3^{2}*2((a^{4})^{2}) }[/tex]
Step 5: [tex]\sqrt{3^{2}(a^{4})^{2}*2a }[/tex]
Step 6: [tex]\sqrt{(3a^{4} )^{2}*2a }[/tex]
Step 7: [tex]\sqrt{(3a^{4})^{2}*(2a) }[/tex]
Step 8: [tex]3a^{4}\sqrt{2a}[/tex]
Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval.
f(x) = x^7, [0, 7]
GIVEN: The given function is f(x)=[tex]x^7[/tex] on the interval [0,7]
To FIND: Here we need to find the value of c by the help of Mean value theorem.
SOLUTION: The mean value theorem is,
[tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]
where, f(x) is defined on a closed interval [0,7] and continuous on the closed [0,7] and derivable on (0,7) and a<c<b,
So, [tex]f'(x)=7x^6[/tex]
By the mean value theorem we have,
[tex]7c^6=\frac{7^7-0}{7-0} \\7c^6=7^6\\c^6=7^5\\c=\sqrt[6]{7^5} \\c=5.077[/tex]
Therefore, the required value of c is 5.077
Really struggling and stressing out. Anyone mind helping?
Answer:
it should be 314.16, so I would choose 314
Determine the equation of the circle graphed below.
Answer:
(x - 6)^2 + (y + 4)^2 = 4
Step-by-step explanation:
formula for a circle
( x - h )^2 + ( y - k )^2 = r^2
(h,k) is the center
r is the radius
(6,-4) is center
2 is radius
Substitute in numbers and watch the negatives.
dog water ur bad kid get better
don't understand your question
The equation of the graphed line is x+2y=5. What is the x-intercept of the graph?
A coordinate plane with a line passing through (negative 5, 5) and (5, 0).
2
2.5
5
5.5
Answer:
5 is the answer. hhhjjh y fl jj g gshwhwjqjajajw
Answer:
c
Step-by-step explanation:
it's 5
If the value of a in the quadratic function f(x) = ax^2 + bx + c is -2, the function will_______.
a open down and have a minimum
b open down and have a maximum
c open up and have a maximum
d open up and have a minimum
Answer:
b open down and have a maximum
Step-by-step explanation:
A negative value for a will make the quadratic function open down
A downward facing parabola will have a maximum
