Volume is a three-dimensional scalar quantity. The volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter is 1204.3.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a sphere is given by the formula (4/3)πR³, where R is the radius of the circle. Since the radius of the sphere is 6.6 cm, the volume of the sphere will be,
Volume of Sphere = (4/3) × π × (6.6cm)³ = 1204.26 cm³ ≈ 1204.3³
Hence, the volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter is 1204.3.
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An exponential function is given by the equation y=3x. Using the points xx and x+1x+1, show that the y-values increase by a factor of 3 between any two points separated by x2−x1=1.(4 points)
Answer:
Here we have the function:
y = f(x) = 3^x
Using the values:
x and (x + 1)
We need to find that the y-value increases by a factor of 3.
So we need to prove that:
f(x + 1) = 3*f(x).
Or we can see the quotient:
f(x + 1)/f(x) = 3
Here we can find the values:
f(x + 1) = y = 3^(x + 1)
f(x) = y' = 3^x
If we take the quotient, we get:
[tex]\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x}[/tex]
Here we can use the properties:
[tex]a^n*a^m = a^{n + m}[/tex]
[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]
Using these in the quotient equation we get:
[tex]\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x} = \frac{3^x*3^1}{3^x} = \frac{3^x}{3^x}*3 = 1*3 = 3[/tex]
Then:
[tex]\frac{f(x + 1)}{f(x)} = 3[/tex]
[tex]f(x + 1) = 3*f(x)[/tex]
So we found that the y-value increases by a factor of 3 between any two points x₂ and x₁ such that: x₂ - x₁ = 1.
Which value of x is a solution of x < -2?
A. -3
B. -2
C. - 1
D. O
Answer:
A
Step-by-step explanation:
-3 is less than -2, so A (-3) is the answer.
Only x = -3 is less than -2.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following inequality -
x < - 2
Given is -
x < - 2
Now, it can be seen that -
- 3 < - 2
Therefore, only x = -3 is less than -2.
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I haven’t done this since 7th grade sorry I just don’t remember
I know the answer but I need the angle name pls hurry
Answer:
S
angle S would also be an obtuse angle measuring 118°
corresponding angle
Step-by-step explanation:
Answer:
s.
Step-by-step explanation:
s is a corresponding angle to the 118 angle.
The area of triangle ABC ABC is 18 cm2. Side AC=4x AC = 4 x and side AB=x+3 AB = x + 3 . Given that angle A=30∘ , calculate the value of x
Answer:
x = 3
Step-by-step explanation:
Let the altitude from B to AC intersect at point D. Then BD is a height of the triangle with base AC
ΔABD is a 30-60-90 triangle since m∠A = 30
Therefore, AB = 2(BD) or BD = AB/2 = (x+3)/2
Area of the triangle = bh/2 = AC(BD)/2 = 4x(x + 3)/(2)(2)
= x(x + 3) = 18
[tex]x^{2} + 3x = 18[/tex]
[tex]x^{2} + 3x - 18 = 0[/tex]
(x + 6)(x - 3) = 0
x = -6 or x = 3
x cannot equal -6, so x = 3
In this exercise we have to use the knowledge of triangle to calculate the value of X, in this way we find that:
[tex]X=3[/tex]
In this way, we can write the treated area of the triangle as:
[tex]bh/2 = AC(BD)/2 = 4x(x + 3)/(2)(2)\\=x(x + 3) = 18\\x^2+3x=18\\x^2+3x-18=0\\(x+6)(x-3)=0\\x=-6 \ or \ x=3[/tex]
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Help!
Is the data skewed or symmetric?
Answer:
i believe it is skewed. sorry if its wrong
Step-by-step explanation:
Someone please help!!!! I’ll give brainliest!!!
can you make the picture more clear?
You can buy 5 small pizzas for the same price as 3 small pizzas and 10 one dollar drinks.How much does each pizza cost?
Answer:
★ The answer is $5
Step-by-step explanation:
Hope you have a great day
A bakery owner wants to keep his bakery open a few more hours every evening. He wants to conduct a survey to determine whether extending the bakery's hours would be what costumers want. Which survey method would likely produce the most representative sample?
Answer:
Ask every tenth customer over the period of a week.
Step-by-step explanation:
Required
Select which of the options is true
(a) Every 5th male customer
This method will not produce a correct representative sample because only the male customers are surveyed. The opinion of the female customers will not be represented in the sample
(b) Every customer after 5:00pm
This method will not produce a correct representative sample because only the customers who come to the bakery before 5:00pm will not be represented. The opinion of these customers will not be represented in the sample
(c) Every 10th customer over the week
This method will produce a correct representative sample because the opinions of the customers are taken, irrespective of the gender or the time the customer walks into the bakery.
how do i get the answer for 8 - (-6) i’m not good at math sorry
Answer:
14
Step-by-step explanation:
What is the length of PR?
7/2
14
/2
7
Step-by-step explanation:
let AB when products meet the ground at c.
if the HCF of 408 and 1032 is expressible in the form of 1032 into 2 + 408 into P then find the value of p
Answer:
below.
Step-by-step explanation:
408 = 2*2*2*3*17
1032 = 2*2*2*3*43
So the HCF is 2*2*2*3 = 24
24 = 2/1032 + p/408
24 - 2/1032 = p/408
p = (24 - 2/1032) * 408
p = 9791.21 to nearest hundredth.
Please help I will mark brainliest thanks
Answer:
5+4+6=51 yes
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
9z - 6+ 7z = 16z - 6
Answer:
z = z
Step-by-step explanation:
first you should combine like terms on the left side of the equation
9z + 7z = 16z
now rewrite
16z-6 = 16z-6
add 6 to both sides
16z = 16z
divide both sides by 16
z = z
Answer:
Both sides are equal. z has no solution. The input is an identity. It is true for all values.
Step-by-step explanation:
9z - 6 + 7z = 16z - 6
16z - 6 = 16z - 6
Both sides are equal. z has no solution. The input is an identity. It is true for all values.
15 cm
15 cm
10 cm
10 cm
1
10 cm
1
8.66cm
1
The surface area of the three-dimensional figure is
square centimeters.
Picture is quite a bit more helpful
Answer:
Total surface area = 536.6 cm²
Step-by-step explanation:
Surface area of the given figure = Area of rectangle (1) + Area of rectangle (2) + Area of rectangle (3) + Area of triangle (4) + Area of triangle (5)
Area of rectangle (1) = Length × Width
= 10 × 15
= 150 cm²
Area of rectangle (2) = 10 × 15
= 150 cm²
Area of rectangle (3) = 10 × 15
= 150 cm²
Area of triangle (4) = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]
= [tex]\frac{1}{2}(10)(8.66)[/tex]
= 43.3 cm²
Area of triangle (5) = [tex]\frac{1}{2}(10)(8.66)[/tex]
= 43.3 cm²
Total surface area = 150 + 150 + 150 + 43.3 + 43.3
= 536.6 cm²
The quantities x and y are positive. If x is
decreased by 20 percent and y is increased by
20 percent, then the product of x and y is
Answer:
Positive
Step-by-step explanation:
Two negative numbers, no matter how small or large are always positive when multiplied. Same goes for two positive numbers. If it was positive beforehand that means both numbers were either negative or positive. A percentage of a negative number is still negative and a percentage of a positive number is still positive so the answer won't change.
Answer:
Decreased by 4%
2+3**1342=? Someone please trust trade me
Answer:
Step-by-step explanation:
Answer: hi
Step-by-step explanation:
ha lol imma waste your time now
The graph shows the line y= -3x - 6.
Complete the table so it includes two solutions to the equation.
Answer:
0 | -6
____
3 | -15
Step-by-step explanation:
just plug in the numbers they give u in the chart
when x = 0 -> y = -3*0-6 = -6
when y = -15 -> -15 = -3x-6 -> x = 3
The graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).
What is an equation of a line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given equation of the line is y = -3x - 6. the two points on the graph are satisfying the equation.
x = 0 , y = -3 x 0-6 = -6
y = -15 -> -15 = -3 x-6 -> x = 3
Therefore, the graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).
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MNOP is trapezium. The distance between MN and PQ is 21cm and MN= 28cm, while PQ= 25cm. Find the area.
Answer:
556.5 cm²
Step-by-step explanation:
Area of trapezium :
Area = 1/2 (a + b)h
a = base length 1
b = base length 2
h = height
From the information given :
Distance between MN and PQ = Height, h = 21 cm
Base MN, a = 28 cm
Base PQ, b = 25 cm
Hence,
Area = 1/2 (28 + 25) * 21
Area = 1/2 (53) * 21
Area = 556.5 cm²
Please help me with this
Picture is provided, please help!
Answer:
Option C: b is parallel which is; y = ½x - 1
Step-by-step explanation:
We know that if the slope of a line is m, then the slope of the line that is perpendicular to it would have be; -1/m.
In this question, m = ½
Thus, the slope of the line that is perpendicular to it is; -1/(½) = -2
However, to find the slope of the line parallel to it would mean that the value of m which is the original slope will remain the same. Original slope = ½, thus the only option with slope as ½ is option C where b is parallel with the equation; y = ½x - 1
Find the area of the Regular Octagon below and show all mathematical reasoning.
9514 1404 393
Answer:
200√2 square units
Step-by-step explanation:
The area of a regular polygon with n sides and radius r is given by the formula ...
A = (n/2)r²·sin(360°/n)
Here, we have n=8 and r=10, so the area is ...
A = (8/2)(10²)sin(360°/8) = 4·100·√2/2
A = 200√2 . . . square units
PLEASE HELP THANKS <3
Answer:
DL
Step-by-step explanation:
what's the coefficient in the equation m-22
Answer:
that does not make sense ?????????????????????????????????????????
Which table of ordered pairs matches the following function?
2y + 8x = 2
Help please please help…….
Answer:
Choice A
Step-by-step explanation:
y-intercept = -3
double-checked on calculator
Here is a pattern made from sticks:
a)
How many sticks would be in pattern number 6?
b)
How many sticks would be in pattern number n?
Answer: 2, 5
Step-by-step explanation:yes
2ax^2+bx−2ay^2−by^2
Answer:
=2
Step-by-step explanation:
Today, Noah swam 1 mile at swim practice and Liam sprinted 880 yards at track practice. How many more yards did Noah travel during exercise?
This from Moby Max
I am in 4th grade
Answer:
the answer is 880 yards more
Step-by-step explanation:
1 mile is equal to 5280 feet or 1760 yards.
then subtract your two numbers that have the same unit (yards)
1760 yards - 880 yards = 880 yards
A jar has 10 red marbles, 3 blue marbles, and 7 yellow marbles. What percent of the marbles are blue?
Answer:
3/20 1.5/10 15/100 15%
Step-by-step explanation:
done
Answer:
I think the answer is 15%
Step-by-step explanation:
15%of the marbles are blue.
[tex] \frac{3}{20} \binom{ \times }{ \times } \frac{5}{5} = \frac{15}{100} [/tex]
[tex] \frac{15}{100} = 15\%[/tex]