Answer:
11
Step-by-step explanation:
Answer:
k = 11
Step-by-step explanation:
4k + 39 = 7k + 6 ( subtract 7k from both sides )
- 3k + 39 = 6 ( subtract 39 from both sides )
- 3k = - 33 ( divide both sides by - 3 )
k = 11
Triangle ABC has side lengths AB= 25 units, BC = 24 units and AC = 7 units. Triangle ABC is mapped to triangle A'B'C' by a reflection across a
horizontal line and translated left 12 units
What is the length of segment B'C'?
A. 25 units
B. 12 units
C. 24 units
D. 7 units
Answer: C. 24 units
Step-by-step explanation:
C is the correct answer. This is because the length of the segment doesn't change when reflected along the x-axis or translated left or right. The length of a segment only changes if the given figure is stretched or compressed, which doesn't occur in the given case or question.
Hello, could you please help me with my homework?
Question:-
[tex]\pmb{(x+8)^5}[/tex]
Use the Binomial Theorem.
Kindly do not lose your precious time by spamming; instead, please provide a high-quality answer.
I need help A.S.A.P.; this is due today.
Answer:
[tex]{x}^{5} + 40{x}^{4} + 640{x}^{3} + 5120 {x}^{2} + 20480{x}^{}+ 32768 [/tex]
Step-by-step explanation:
This too follows the as same process as
https://brainly.com/question/27201053recall binomial theorem,
[tex] \displaystyle (a + b {)}^{n} = \sum _{k = 0} ^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]
Given binomial:
(x+8)⁵comparing it to (a+b)ⁿ , we acquire:
[tex]a \implies x[/tex][tex]b\implies 8[/tex][tex]n\implies 5[/tex]Now substitute:
[tex] \displaystyle (x +8 {)}^{5} = \sum _{k = 0} ^{5} \binom{n}{k} {a}^{5- k} {b}^{k} [/tex]
To convert the summation into a sum, substitute the values from k=0 to k=5 into the expression which yields
[tex] \displaystyle (x + 8{)}^{5} = \binom{5}{0} {x}^{5 - 0} \cdot {8}^{0} + \binom{5}{1} {x}^{5 - 1} \cdot {8}^{1} + \binom{5}{2} {x}^{5 - 2} \cdot {8}^{2} + \binom{5}{3} {x}^{5 - 3} \cdot {8}^{3} + \binom{5}{4} {x}^{5- 4} \cdot {8}^{4} + \binom{5}{5} {x}^{5 - 5} \cdot {8}^{5} \\ \implies(x + 8 {)}^{5} = \binom{5}{0} {x}^{5} \cdot 1 + \binom{5}{1} {x}^{4} \cdot {8} + \binom{5}{2} {x}^{3} \cdot 64+ \binom{5}{3} {x}^{2} \cdot 512 + \binom{6}{4} {x}^{1} \cdot 4096+ \binom{5}{5} {x}^{0} \cdot 32768\\ \implies(x + 8{)}^{5} = 1 \cdot {x}^{5 } \cdot 1 + 5\cdot{x}^{4} \cdot {8} + 10 \cdot {x}^{3} \cdot 64+ 10 \cdot {x}^{2} \cdot 512 + 5 \cdot{x}^{1} \cdot 4096+ 1 \cdot {x}^{0} \cdot 32768 \\ \implies \boxed{ (x + 8 {)}^{5} = {x}^{5} + 40{x}^{4} + 640{x}^{3} + 5120 {x}^{2} + 20480{x}^{}+ 32768 }[/tex]
and we're done!
If remove the zero from 0.76 would it change the value of the number
If remove the zero from 10.25 would it change the value of the number
PLS HELP THIS WAS ON SHORT NOTICE AND I NEED IT DONE IN 30 MINUTES
!!!
Question 1:
Answer: The number does not changeRemoving the zero from 0.76 leads to .76 which is the same as before. Both lead to [tex]7.6 \times 10^{-1}[/tex] in scientific notation.
Personally I prefer the zero up front to make the decimal point stand out easier. Of course it's just a preference, so its up to you to decide which you prefer.
===========================================
Question 2:
Answer: Yes the number changesTaking the zero out of 10.25 leads to 1.25 which is definitely a different number (and smaller). Therefore, this zero is a significant digit compared to before.
Can i get some help With This Please
Step-by-step explanation:
See the solution for each part
1)
f(-2) = - 3(-2) - 6 = 6 - 6 = 02)
g(3) = 3² + 4 = 9 + 4 = 133)
f(g(x)) = -3(x² + 4) - 6 = - 3x² - 12 - 6 = - 3x² - 184)
f(g(3)) = f(13) = - 3(13) - 6 = - 39 - 6 = - 455)
x = - 3f⁻¹(x) - 63f⁻¹(x) = - x - 63f⁻¹(x) = -(x + 6)f⁻¹(x) = - (x + 6)/3Now
f(-2)=-3(-2)-6=6-6=0g(3)=3²+4=9+4=13f(g(x))=-3(x²+4)-6=-3x²-12-6=-3x²-18f(g(3))=-3(3)^2-18=-27-18=-45Anwser for 4.5 times 3.6
Answer:
16.2
Step-by-step explanation:
calculator :0
Which is true [x]>=x or [x]<=x ?
Answer:
[x] ≥ x
Step-by-step explanation:
The absolute value of a number is greater than or equal to itselfTherefore, the correct answer is :⇒ [x] ≥ xa machine prints 1500 newspapers in 45 minutes how many does it print in 12 hours
Answer:
ans is 24000
Step-by-step explanation:
frist convert 12 into mins
/ it with 45
now multiple it with 1500
now ans 24000
(Assuming it works at a constant rate)
45 minutes = 3/4 of an hour
If it works for 12 hours, it works for 12 : 3/4 = 16 times more than 45 minutes.
Since it works at a constant rate, it must also print 16 times more paper than in 45 minutes.
So, in 12 hours, the machine print 1500 x 16 = 24000 (papers)
Calculate the capacitance between two parallel plates of area s and separation of d
The capacitance between two parallel plates of area s and separation of d is;
[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]
What is capacitance?Capacitance is the limitation of the body to store the electric charge. Every capacitor has its capacitance.
The typical parallel-plate capacitor consists of two metallic plates of area s, separated by the distance d.
The capacitance between two parallel plates of area s and separation of d is given by the following formula;
[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]
The capacitance of a parallel plate capacitor depends on the area of the plates s and their separation d.
According to Gauss's law, the electric field between the two plates is: Since the capacitance is defined by one can see that capacitance is: Thus you get the most capacitance when the plates are large and close together.
To know more about capacitance click the link given below.
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Find the equation of a line parallel to y = x - 2 that passes through the point (-2,-8).
Answer: y=x-6
Step-by-step explanation:
Suppose that two lines, AB and CD, are intersected by a transversal.
Which of the following reasons alone could be used to show that the lines are parallel?
Corresponding angles converse
Consecutive interior angles theorem
Vertical angles theorem
Transitive property of congruence
The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel
What is an angle?
An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse, right angle.
The consecutive interior angle theorem states that if a pair of parallel line is intersected by a transversal, the pair of consecutive interior angles formed is supplementary
The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel
Find out more on angle at: https://brainly.com/question/25770607
Question is the PNG file.
Answer:
volume = x(x + 2)(x - 1)
soil = 30 ft³
Step-by-step explanation:
volume of a cuboid = width x length x height
width = x ftlength = (x + 2) ftheight = (x - 1) ftSubstituting given values into the equation:
⇒ volume = x(x + 2)(x - 1)
If width = 3ft, then x = 3:
⇒ volume = 3(3 + 2)(3 - 1)
= 3(5)(2)
= 30 ft³
Sumalee spent $183 on books. Math books cost $21 and english books cost $26. If she bought a total of 8, then how many of each kind did she buy?
how many milillerters of cholcolat milk are in the container shown
What is the distance between
(-2,-4) and (-2, -8)?
2 units
4 units
12 units
Answer:
4units is the answer to the question
Answer:
4
Step-by-step explanation:
took the k12 test
Solve the simultaneous equations 4 x + 3 y = 25 x + 5 y = 19
Answer:
x= 4
y=3
Step-by-step explanation:
its simple
4x+3y=25
x+5y=19
by elimination
-17y=-51
so y = 3
substitute y for 3
then x is 4.
I hope this will help you.
What is the area of the following circle?
Answer:
49pi
Step-by-step explanation:
Area of a circle is diameter * 1/2 squared times pi. Then, ((14 * 1/2)^2)pi equals 49pi.
P.S: don't cheat in khan my man, that's dishonored
Solve this problem please and thank you.
Answer:
B
Step-by-step explanation:
The given expressions can be compared by putting each in standard form.
A. -8 -7n +16n = (-7+16)n -8 = 9n -8
B. 9(n -8) = 9n -72 . . . . different from the others
C. n -8 +8n = (1 +8)n -8 = 9n -8
D. 9n -8
_____
The standard form of a polynomial expression has the variable terms in decreasing order by degree
If tangent theta = negative three-eighths, which expression is equivalent to cotangent theta?
The value of [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex] or [tex]\rm cot\theta = -\frac{8}{3}[/tex] the option first is correct.
It is given that the [tex]\rm tan\theta = -\frac{3}{8}[/tex]
It is required to find which expression is equivalent to [tex]\rm cot\theta[/tex].
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
We have [tex]\rm tan\theta = -\frac{3}{8}[/tex] , which is a ratio of side opposite side of an angle to the side adjacent to the angle.
We know [tex]\rm cot\theta[/tex] is a ratio of the side adjacent to the angle to the side opposite to the angle ie. it is the opposite of the [tex]\rm \tan\theta[/tex] ie.
The [tex]\rm tan\theta = \frac{1}{cot\theta}[/tex]
or [tex]\rm cot\theta = \frac{1}{tan\theta}[/tex]
Putting the value of [tex]\rm tan\theta[/tex] in the above equation, we get:
[tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]
Or
[tex]\rm cot\theta = -\frac{8}{3}[/tex]
Thus, the value of [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex] or [tex]\rm cot\theta = -\frac{8}{3}[/tex].
Know more about trigonometry here:
brainly.com/question/26719838
Answer:
first option
Step-by-step explanation:
Can someone help me if you can??? please and thank you! :)))))))
Answer:
Here is the answer
Step-by-step explanation:
Interest=$580 x 6.5%
=580 x 6.5/100
=$37.70
$37.70= 37dollars and 70 cents
HELP PLS IS OVER DUE AND I WANT TO GET THIS DONE RIGHT NOW!
Answer:
168 hours
Step-by-step explanation:
24 × 7 = 168 hours
So 168 hours in 7 days
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
What is the value of y?
y
60°
80°
Step-by-step explanation:
60° + 80° + y = 180° ( being straight angle )
140° + y = 180°
y = 180° - 140°
y = 40°
sin^-1(√3-1/2√2)
please give me answer
use a calculator and the correct answer is 0.019134405
and then round off the that answer into 2 significant number
sin^-1(√3-1/2√2)
please give me answer
helllp pleeaasee can you?
Divide money earned by hours worked to get the hourly rate of $11.00 per gour.
Answer: C. $11.00 per hour
PLEASE HELP!! 50 POINTS!!
Instructions: Find the missing side. Round your answer to the nearest tenth.
Answer:
x = 35.20735
Step-by-step explanation:
Use tanФ = opposite/adjacent
tan58 = x/22
x = 35.20735
Find the length of the missing side of the right triangle. (Don't put units in your answer.)
The missing side is the opposite or the adjacent of the right triangle
The length of the missing side is 9.9
How to determine the length of the missing side?To calculate the length of the missing side, we make use of the following Pythagoras theorem.
16.5^2 = 13.2^2 +a^2
Evaluate the exponents
272.25 = 174.24 +a^2
Collect like terms
a^2 = 272.25 - 174.24
Evaluate the like terms
a^2 = 98.01
Take the square roots of both sides
a = 9.9
Hence, the length of the missing side is 9.9
Read more about right triangles at:
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Identify the value of y
(5y-6) = (2y×9)-32
Hey there!
Let's solve your equation step-by-step.
[tex]\fbox{5y−6=2y(9)−32}[/tex]
Step 1: Simplify both sides of the equation.
[tex]\fbox{5y−6=2y(9)−32}[/tex]
[tex]\fbox{5y+−6=18y+−32}[/tex]
[tex]\fbox{5y−6=18y−32}[/tex]
Step 2: Subtract 18y from both sides.
[tex]\fbox{5y−6−18y=18y−32−18y}[/tex]
[tex]\fbox{−13y−6=−32}[/tex]
Step 3: Add 6 to both sides.
[tex]\fbox{−13y−6+6=−32+6}[/tex]
[tex]\fbox{−13y=−26}[/tex]
Step 4: Divide both sides by -13.
[tex]\fbox{−13y/−13 = −26/−13}[/tex]
[tex]\fbox{y=2}[/tex]
Answer:
[tex]\fbox{y=\fbox{2}}[/tex]
If ∠A > ∠B, then what is the relation between AC and BC?
Answer:
ab and ac are congruent with each other
Answer:
BC > AC
Step-by-step explanation:
∠A > ∠B (Given)
Side opposite to larger angle is larger and side opposite to smaller angle is smaller.
->AC < BC
or
BC > AC
Find the volume of the prism in terms of y.
is there a value to y? if not, this is what I got:
Y^2 + 2y + 3
What are any tricks for remembering the Pythagorean theorem?
Answer:
No. Just no the formula
Hyp2= Adj2 +Opp2
The Pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides in a right triangle.
What is the Pythagoras theorem?Pythagoras came up with a theorem that says, “the square of the hypotenuse of a right-angled triangle is equal to the sum of the square of the other two sides.” This theorem is known as the Pythagoras theorem.
Pythagorean theorem is a theorem in geometry that relates all the three sides of a right triangle.
It states that, in a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
A right triangle is a three-sided closed geometric plane figure in which one of the 3 angles is 900.
In a right triangle, the side opposite to the right angle is the longest side and is called the hypotenuse.
The horizontal side forming the right angle is called the base of the right triangle and the vertical side is the hypotenuse.
For example, if ΔABC is a right triangle with sides AB, BC, and AC such that the triangle is right-angled at B, then the Pythagoras equation is written as:
[tex]\rm Hypotenuse ^2= Base^2+ Perpendicular^2\\\\AB^2+BC^2=AC^2[/tex]
Hence, the Pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides in a right triangle.
Learn more about Pythagoras' theorem here;
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A rectangle has a perimeter of 48 kilometers and a height of 10 kilometers. What is the
length of the base?
kilometers
We know, perimeter of the rectangle = 2(l +b)
where, l = length and b = breadth
Here, the perimeter of the rectangle is 48 kilometers and the height is of 10 kilometers. We can take height as the breadth.
=> Perimeter = 2(l + b)
=> 48 = 2(l + 10)
=> 48/2 = l + 10
=> l + 10 = 24
=> l = 24 - 10
=> l = 14 kilometers