Answer:
-x^3 + 6x + 2
Step-by-step explanation:
What is Index Law 2?
please give definition
LAW 2: The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. In algebraic form, this rule is as follows . The a represents the number that is divided by itself and m and n represent the powers.
Answer:
The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. The a represents the number that is divided by itself and m and n represent the powers. Here is an example for this rule.
the inverse of f(x) is a function true or false
simplify.
[tex] {y }^{ - 3} [/tex]
Options:
3/y
-1/y^3
-3y
1/y^3
Answer:
Rewrite the expression using the negative exponent rule [text]{b}^{-n } = 1/bn
Step-by-step explanation:
1/y^3
On a world , the distance between city A and city B is 5,625 inches. The two cities are actually 1688 miles apart. On the same , what would be the distance between city C and city D, two cities that are actually 1296 miles apart? Use a proportion to solve this problem.
Answer:
The distance between C and D is 4.2768 inches.
Step-by-step explanation:
As from A to B the distance is 5.625 inches and actual is 1688 miles
so,
1 mile = 5.625/1688 = 0.0033 inches
So, the distance between C and D is 1296 miles
= 1296 x 0.0033 inches = 4.2768 inches
Instructions: Find the missing side. Round your answer to the nearest
tenth.
49
х
66°
X
[tex]\sin(66) = \frac{49}{x} \\ 0.913 = \frac{49}{x} \\ x = 53.6 \\ x = 54[/tex]
The missing side is 53.6 units for the given right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The right triangle is given in the question, as shown.
The ratio of the length of the side opposite the angle to the length of the hypotenuse of the triangle. The sine function is denoted by the symbol "sin" and is defined as follows:
sin(θ) = opposite / hypotenuse
Here, θ = 66°
Using the sine ratio in the given triangle, we get
sin 66° = perdenicular/hypertanuas
Substitute the known values in the above ratio,
sin 66° = 49/x
x = 49/sin 66°
x = 53.63717
Rounded to the nearest tenth,
x ≈ 53.6
Thus, the missing side is 53.6 units for the given right triangle.
Learn more about the right triangle here:
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A delivery truck driver work shift is between 4 - 6 hours (240 - 360 minutes). It takes
the driver 45 minutes to load the truck and an average of 15 minutes per stop to deliver the packages. How many stops on average can he deliver packages during his shift 2
(Plz help)
Answer:
You are good on it
Step-by-step explanation:
Woplor
which expression is equivalent to 13-(-18)
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{13 - (-18)}[/tex]
[tex]\huge\textsf{= 13 + 18}[/tex]
[tex]\huge\textsf{= \bf 31}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your answer is most likely: \textsf{31}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\text{Amphitrite1040:)}[/tex]
Answer:
[tex] \displaystyle 31[/tex]
Step-by-step explanation:
we want to simplify the following expression:
[tex] \displaystyle 13 - ( - 18)[/tex]
remove parentheses and change its sign because we know that two negatives make positive Thus:
[tex] \displaystyle 13 + 18[/tex]
finally simplify addition:
[tex] \displaystyle\bf \fbox{31}[/tex]
hence,
[tex] \displaystyle 13 - ( - 18) = \boxed{31}[/tex]
What is the nth term for 2 3 5 13
this is a number is can not devide
Please help……………………….
Let’s start with the easy part: half of the base is 3.
Therefore, 3 x h + 1 = 18
3 x h = 3h and 3 x 1 = 3
3h + 3 = 18
To solve these equations, you have to do the inverse. First you would need to minus 3:
3h = 15
3h is a simpler way of saying 3 x h, so the inverse would be a divide.
h = 5
One vertex of a polygon is located at (3, –2). After a rotation, the vertex is located at (2, 3). Which transformations could have taken place? Select two options. R0, 90° R0, 180° R0, 270° R0, –90° R0, –270°
Answer:
R0, 90°
R0, –270
Step-by-step explanation:
Answer:
A, E
Step-by-step explanation:
Find the volume of this solid.
Answer:
Step-by-step explanation:
area of side surface=50×20+20×35=1000+700=1700 m²
voume of solid=1700×12=204,00 m³
The heights of 200 adults were recorded and divided into two categories
Which two-way frequency table correctly shows the marginal frequencies
Answer:
C
Step-by-step explanation:
male total= 98
female total =102
total total=200
The number of booker borrowed from a library each week follows a normal distribution. When sample is taken for several weeks, the mean is found to be 190 and the standard deviation is 30
Answer:
2.5%
Step-by-step explanation:
Given :
Mean, μ = 190
Standard deviation, σ = 30
Probability that more than 250 books are borrowed ;
x = 250
P(Z > z)
Z = (x - μ) / σ
P[Z > (x - μ) / σ] = P[Z > (250 - 190) / 30]
P(Z > z) = P(Z > 2)
P(Z > 2) = 1 - P(Z < 2) = 1 - 0.97725
P(Z > 2) = 1 - P(Z < 2) = 0.02275
(0.02275 * 100)% = 2.275%
2.5% is closest to 2.275%
please help me solve the equations, I re-wrote the question under each of them so you can read it better. Ty
Answer:
45:13/36
46:86/63
47:19/42
48:9/10
49:1/12
Someone plz help me on this one
Answer:
76
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan ? = opp side/ adj side
tan ? = 40 / 10
tan ? = 4
Taking the inverse of each side
tan ^ -1 (tan ?) = tan ^-1(4)
? =75.96375653
To the nearest degree
? = 76
The robotics team purchased 3 androids for the purpose of programming. Each of the robots was $398, which included tax. If the tax rate is 8%, what is the TOTAL TAX to be paid?
Answer:
$95.52
Step-by-step explanation:
Number of robots = 3
Cost of each robots = $398
Tax rate = 8%
Amount of tax of each robots = 8% of $398
= 8/100 × $398
= 0.08 × $398
= $31.84
TOTAL TAX to be paid = Amount of tax of each robots × Number of robots
= $31.84 × 3
= $95.52
TOTAL TAX to be paid = $95.52
HELP
Line CD passes through points C(3, -5) and D(6,0). What is the equation of line CD in standard form?
60
O 5x + 3y = 18
O 5x - 3y = 30
O 5x - y = 30
O 5x + y = 18
Answer:
Hello the answer is 5x - y = 30!
Step-by-step explanation:
m = (0 (-5))/(6 - 3) = (0 + 5)/(3) = 5/3
y = mx + b
O = (5/3)(6) + b
O = (30/3) + b
O = 10 + b
-10 = b
3y = 5x - 30
3y + 30 = 5x
5x - 3y = 30
Using your knowledge of common Pythagorean triples , find the hypotenuse in a triangle with shorter side lengths 25 units and 60
units.
The triple is a multiple of a common primitive Pythagorean triple. Which one?
A. (5,12,13)
B. (8,15,17)
C. (3,4,5)
D. (7,24,25)
Answer: A
Step-by-step explanation:
If 12 is the greatest common factor of y and 36, how many possible values for y are in between 20 and 80 ?
Answer: 3
Step-by-step explanation: I don’t have an explanation but I got the same question on a quiz and 3 was the correct answer.
the possible values for y are in between 20 and 80 will be 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
If 12 is the greatest common factor of y and 36.
The value of y will be a multiple of 12 and greater than 36.
Then the numbers will be
12 x 4 = 48
12 x 5 = 60
12 x 6 = 72
Then the possible values for y are in between 20 and 80 will be 3.
More about the Algebra link is given below.
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Can someone help me with this please
Answer:
.574
Step-by-step explanation:
This can be inputted in a calculator to achieve .57357643
To three decimal places that is .574
Need helppppp I’m stuckkkk
Answer:
b) 94
Step-by-step explanation:
The Total Degree of a Triangle is 180 degrees. Knowing this, set up an equation.
68+26+x=180.
x is the complementary angle of the "?" angle.
Solve the equation.
94+x=180
x=86
Then Subtract 86 from 180 to find "?"
180-86=94
I hope this helps!
Answer:
94;b
Step-by-step explanation:
68+26=94. 180-94=86. 180-86=94.
Find the slope.
Directions: For problems 1 through 3, graph the line by using the given X values and find its slope.
Answer:
Answer is in the picture.
Instructions: Find the missing side. Round your answer to the nearest
tenth.
30
48°
х
х
=
Answer:
x = 44.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 48 = 30/x
x cos 48 = 30
x = 30 / cos 48
x=44.83429
Rounding to the nearest tenth
x = 44.8
Simplify The Equation
Answer:
5
Step-by-step explanation:
5 ^ 1/3 * 25 ^ 1/3
Rewriting 25 and 5^2
5 ^ 1/3 * 5^2 ^ 1/3
We know that a^b^c = a^ (b*c)
5 ^ 1/3 * 5^ 2/3
We know a^b * a^c = a^(b+c)
5^ ( 1/3 + 2/3)
5^1
5
What is the equation of a straight line which passes through (-1,4) and parallel to the line 3x+27-7-0?*
Step-by-step explanation:
3x+27-7-0=3x+20
gradient=3
y=mx+c
4=3(-1)+c
4+3=7
c=7
y=3x+7
Write as an equation: a triangle has two equal sides and a third side that is 15cm long. How long is each of the equal sides if the perimeter is 50?
Answer:
Step-by-step explanation:
X+x+15=50
3x3x8x8x8x8 in EXPONENTIAL FORM!
x = multiplication sign, not variable!
Answer:
192^2
Step-by-step explanation:
[tex]\sqrt{3*3*8*8*8*8} = \sqrt {36864} = 192^2[/tex]
Hope you enjoy :)
please help!! 15 points! I need 5 and 9 answered
Answer:
B: Subtraction property of equality
The diagram shows a square with side length 5cm.
The length of the diagonal is y cm.
Find the exact value of y.
Answer:
5sqrt2
Step-by-step explanation:
Using the pythagorean theorem, we get 5^2+5^2=c^2. C is the diagonal here. 25+25=c^2, c^2=50. c=sqrt50. Simplifying it, we get the diagonal as 5sqrt2.
pleasee help asapp:)
They gave you the length of the two sides of the triangular part. Calculate the circumference of the semi circle on top.
Circumference of a semi circle is 1/2 x 2 x radius x PI
The radius is given as 3 ft.
Circumference = 1/2 x 2 x 3 x 3.14 = 9.42ft
Perimeter is the length of the circumference of the semi circle plus the side lengths of the triangle:
5 + 5 + 9.42 = 19.42 feet
Answer: 19.42 feet
Answer:
10 + 3[tex]\pi[/tex]
19.42
Step-by-step explanation:
