Answer:
V = 1436.0 in ^3 with 3.14 for pi
or
V = 1436.8 in ^3 with the pi button
Step-by-step explanation:
V = 4/3 pi r^3
The radius is 7
V = 4/3 pi (7)^3
V = 4/3 ( 3.14) (7)^3
V =1436.02666 in ^3
V = 1436.0 in ^3
If you use the pi button
V = 4/3 pi 7^3
V = 1436.75504
V = 1436.8 in ^3
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a
radioactive isotope, how much will be left after 6 half-lives?
Use the calculator provided and round your answer to the nearest gram.
Answer:
2 grams
Step-by-step explanation:
a = 145 * (1/2)⁶
a = 2.265625
Rounded
2 grams
What is the domain of y= log 5x
Answer:
all positive real numbers, (0, ∞)
Step-by-step explanation:
The log function is not defined for 0 or for negative numbers.
The domain of the log function is all positive real numbers.
Answer: all positive real numbers
A right triangle has a height of 22 centimeters and a base of 11 centimeters What is the area of the triangle ?
SOMEONE HELP ASAP !!!
Answer:
121 cm^2
Step-by-step explanation:
area of triangle = base*height/2
=11*22/2
=242/2
=121 cm^2
Which of the following regression equations best fits the data shown below?
Answer:
the answer is A
Step-by-step explanation:
sorry if im worng
Can anyone help me out
Answer:
12k^5 +24k⁴+30k³
Step-by-step explanation:
the area = 6k³(2k²+4k+5)
= 12k^5 +24k⁴+30k³
Triangle ABC is an equilateral triangle with vertices at A(-2,2), B(1,5), and C(-3,6) (Round your answers to the nearest hundredth, 2 decimal places) . a) (2 pts) Determine the length of a side of the triangle. b) (2 pts) Calculate the perimeter of the triangle. c) (2 pts) Now increase the triangle by a scale factor of 4. How long is each side now? d) (2 pts) What is the perimeter of the new triangle? e) (2 pts) What is the area of the original triangle?
Answer:
The answer is below
Step-by-step explanation:
The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate is:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\[/tex]
An equilateral triangle is a triangle with three equal sides (all sides are equal).
a) Given vertices at A(-2,2), B(1,5), and C(-3,6):
[tex]AC=\sqrt{(-3-(-2))^2+(6-2)^2}=\sqrt{1+16}=\sqrt{17}=4.12\ unit\\\\AB=BC=AC=4.12\ unit[/tex]
b) Perimeter = AB + BC + AC = 3 * AC = 3 * 4.12 = 12.36 unit
c) If the scale factor is increased by 4, all the sides would also increase by 4. Hence the new length would be:
A'B' = B'C' = A'C' = 4 * AC = 4 * 4.12 = 16.48 unit
d) Perimeter = A'B' + B'C' + A'C' = 3 * A'C' = 3 * 16.48 = 49.44 unit
e) Area = [tex]\frac{\sqrt{3} }{4}*AC^2=\frac{\sqrt{3} }{4} *4.12^2=7.35\ unit^2[/tex]
Solve for w. Show your work! 5w + 16 - 9 - 8w = 19
I'll give brainly
Please help I’ll give brainliest
Answer:
The answer is 9².
Step-by-step explanation:
9⁵ = 59049
9³ = 125
59049 ÷ 125 (9⁵ ÷ 9³) = 81
9² (9 × 9) = 81
Need it fastttttt plssss I will give brainly
Answer:
385
Step-by-step explanation:
(3/5 x 10/8) - (7/9 x 3/8) + (4/5 x 7/2)
=3/4-7/24+14/5
=90/120 - 35/120 + 840/120
=46200/120
=385
Hope this helps!
The recursive formula to describe a sequence is shown below.
PART A:
State the first four terms of this sequence.
PART B:
Can this sequence be represented using an explicit geometric formula? Justify your answer.
The first four terms of the sequence are 3, 7, 15, and 31. This sequence is represented using an explicit geometric formula.
What is the recursive rule?A rule is defined such that its definition includes itself.
Example:
F(x) = F(x-1) + c
is one such recursive rule.
PART A:
State the first four terms of this sequence.
[tex]a_1 = 3\\\\a_n = 1+ 2a_{n-1}[/tex]
[tex]a_2 = 1+ 2a_{2-1}\\\\a_2 = 1+ 2a_{1}\\\\a_2 = 7\\\\a_3 = 1+ 2a_{2}\\\\a_3 = 15\\\\a_4 = 1+ 2a_{3}\\\\a_4 = 31\\[/tex]
PART B:
This sequence is represented using an explicit geometric formula.
Learn more about the recursive rule and explicit rule here:
https://brainly.com/question/12620593
#SPJ2
Find m>X
21.04
22.62
67.38
68.96
Answer:
67.38 degrees
Step-by-step explanation:
Here, we want to find the value of the angle at X
We are going to use the appropriate trigonometric ratio here
From the question, the vertex X faces the side 12 and that makes the side the opposite
The side 13 faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects both is the sine
so we have that;
sine X = 12/13
X = arc sin (12/13)
X = 67.38
PQR is a triangle. PR = 13 cm, PQ = 12 cm and angle QPR = 30°
Calculate the length of QR.
Answer:
6.55 cm
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.
Cosine rule is used to show the relationship between sides and angles of a triangle. If a, b, and c are sides of a triangle, while A, B, and C are angles opposite to the corresponding sides. Then:
c² = a² + b² - 2ab*cos(C)
Given that PR = 13 cm, PQ = 12 cm and angle QPR = 30°, hence:
QR² = PR² + PQ² - 2(PR)(PQ)cos(∠QPR)
QR² = 13² + 12² - 2(13)(12)cos(30) = 169 + 144 - 270
QR² = 43
QR = 6.55 cm
please help me with this real quick.
Dan buys a car for £1700. It depreciates at a rate of 4% per year. How much will it be worth in 4 years? Give your answer to the nearest penny where appropriate.
Answer:
1428
Step-by-step explanation:
1700x0.04=68 (How much the car will decrease per year)
68x4=272 (How much the car will decrease in four years)
1700-272=1428 (Value of car in four years)
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
Help
Will
Give
Brainlist
Answer
Answer:
[tex]\frac{7}{4.1}[/tex]
Step-by-step explanation:
the word ''to'' means over
What is the measure of each exterior angle of a regular hexagon?
40°
45°
60°
72°
The measure of each exterior angle of a regular hexagon ( six sided regular polygon is 60°.
Option C)60° is the correct answer.
What is a polygon?A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.
The formula for calculating the exterior angles of a polygon is;
E = 360° ÷ number of sides
Given the data in the question;
The polygon in question is a regular hexagonA regular hexagon has six sides, n = 6So we substitute the value for number of sides into the expression above.
E = 360° ÷ number of sides
E = 360° ÷ 6
E = 60°
The measure of each exterior angle of a regular hexagon ( six sided regular polygon is 60°.
Option C)60° is the correct answer.
Learn more about polygons here: brainly.com/question/22408868
#SPJ2
Answer: (C) 60°
Just took it on edge
Help please
9. Is 23.32 = 65? Explain.
Type here
TS
Answer:
No, because 2^3 × 3^2 is equivalent to 72 which is a much smaller number than 6^5 which is equal to 7,776.
Step-by-step explanation:
2^3 × 3^2 = 6^5 ??
Use PEMDAS:
(2 × 2 × 2) × (3 × 3) = 6 × 6 × 6 × 6 × 6
(4 × 2) × 9 = 36 × 6 × 6 × 6
8 × 9 = 216 × 6 × 6
72 = 1,296 × 6
72 = 7,776
Step-by-step explanation:
no because they just added they exponents together. 6^5 is like saying 6 multiplied by itself 5 different times. same with the other numbers. if you switch the exponents around and multiply at different times it's like multiplying different numbers, because 2^3 is multiplying 2 by itself 3 individual times. if you move the exponent to the 6, you are multiplying a completely different number by its own self, so the two different methods cannot be congruent.
(I'm sorry I hope that made sense)
also you can just check with the calculator, this is just an explanation on why it will show up like that on the calculator
PLEASEEE HELPPPPPPP!!!!!!! question is above
AB=5
Step-by-step explanation:
x^2 - 10=3x
x^2 -3x -10=0
x^2 +2x-5x-10=0
x(x+2) -5(x+2) =0
(x-5) (x+2) =0
x-5=0. x+2=0
x=5. x=-2
Evaluate the following expression. You should do this problem without a
calculator.
In e^e
A. 0
B. e^e
C. 1
D. e
Answer:ln is called the natural log, or log to the base e. ln can also be written as
So, we can write the given expression as
The property of logs is:
This mean if the number a is raised to log whose base is the same as the number a itself, then the answer will be equal to the argument of the log which is x.
In the given case, the number e and the base of log are the same. So the answer of the expression will be the argument of log which is 6.
so, we can write
Thus, the correct answer is option D
Step-by-step explanation:
Tell whether the equation Y=Y true or false
Answer:
its true trust biggie on this one fam
Step-by-step explanation:
its true broski
Which of these is the algebraic expression for "4 times the sum of 2 and y?"
4 ⋅ 2 + y
4(2 + y)
2 + 4 ⋅ y
2(4 + y)
Answer:
[tex]4(2 + y)[/tex]
Step-by-step explanation:
"4 times the sum of 2 and y".
Hope it is helpful...Answer:
The answer is 4(2+y)
Explanation: No 1 is 4 times two and add 1
No 3 is 2 plus 4 and multiply y
No 4 is 2 times 4 and adds 2 y
i need help asap Please
Answer: F. is a linear relation.
Step-by-step explanation:
Answer:
G
Step-by-step explanation:
Equation of the eventual line:
(y-4)/(5-4) = x
y-4 = x
y = x + 4
this equation can’t be used to determine the last three values. In fact, for examples:
7 = 2 + 4
7 = 6 (false)
So the relation is non linear
Angle of elevation and depression: A boy 1.5m tall is 15m away from the hut. what is the angle of elevation of the top of the hut.
Answer:
13.5m
Step-by-step explanation:
The boy is 1.5m tall so you subtract that by 15m and you get 13.5m
If QR = 8 and PR = 14, what is PQ? Write your answer as a decimal or integer.
Plz help, its due soon!! Ill give brainliest
Help! Will mark brainliest!!!!
Answer:
(6x²+13x+6) ÷ (2x+3) sq in
Step-by-step explanation:
Volume = base × height
6x³+13x²+6x = (2x²+3x)h
Divide both sides by (2x²+3x)
(6x³+13x²+6x) ÷ (2x²+3x) = (2x²+3x)h ÷(2x²+3x)
By Factorization
x(6x²+13x+6) ÷ x(2x+3) = h
h= (6x²+13x+6) ÷ (2x+3)
Therefore the height of the prism is (6x²+13x+6) ÷ (2x+3) sq in
A planet has a circular orbit around a star. It is a distance of 98,000,000 km from the centre of the star. It orbits at an average speed of 45,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.
Answer:
91 days
Step-by-step explanation:
Given that,
A planet is at a distance of 98,000,000 km from the centre of the star.
It orbits at an average speed of 45,000 km/h.
The speed of an object is given by the distance covered divided by the time taken. So,
[tex]v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{98,000,000}{45,000}\\\\t= $$2177.77\ h[/tex]
or
t = 90.74 days ≅ 91 days
So, the planet take 91 days to orbit the star.
i needs help plzzzzzzzz
pyramid = 9x8x9
rectangle = 7x8x9
total = (pyramid+ rectangle)
length x wide x hight
Which equation represents a line which is parallel to the line
X + 6y = -24?
Answer:
y = -(1/6)x - 6
Step-by-step explanation:
slope intercept form is
y = mx + b
m is the slope
b is the y-intercept
---------------------------
x + 6y = -24
Subtract x from both sides
6y = -x - 24
Divide both sides by 6
y = -(1/6)x - 4
slope = -1/6
-----------------------------
Parallel lines have the same slope
therefor the parallel line is
y = -(1/6)x - 6
Jamal made 77% of his free throws and Brian ,made 62% of his. Jamal had a better record.
Answer:46
Step-by-step explanation: