Answer:
the length of the radius of the Earth Model = 9cm
Step-by-step explanation:
The volume of the model of Earth is approximately 3052.08 cubic centimeters.
It has been discovered that the Earth is spherical in shape, hence this model is spherical as well.
The formula for the Volume of a Sphere = 4/3 πr³
Where r = radius or the length of the radius
The Volume of the Earth Model = 3052.08 cm³
We are told to use π = 3.14
To find the length of the radius, we have derive the formula
V = 4/3 × π × r³
V = 4πr³/3
Cross multiply
3V = 4πr³
Divide both side by 4π
3V/4π = r³
We find the cube root of both sides =
∛(3V/4π) = r
Substituting our given values in the question, we have:
∛(3 × 3052.08/ 4 ×3.14) = r
r = ∛9156.24÷12.56
r = ∛729
r = 9cm
Therefore, the length of the radius of the Earth Model = 9cm
What is the product?
(5 r + 2)(3 r minus 4)
15 r squared + 8
15 r squared minus 8
15 r squared + 14 r minus 8
15 r squared minus 14 r minus 8
Answer:
The answer would be the last one
_________________________________
Solution
(5r+2)(3r-4)
=5r(3r-4)+2(3r-4)
=15r^2-20r+6r-8
=15r^2-14r-8
So the right answer is 15 r squared minus 14 r minus 8.
Hope it helps
Good luck on your assignment
______________________________
NEED HELP. as soon as possible
What is the range of the data
represented in the dot plot below?
2
3
0
Answer:
Range = 3
Step-by-step explanation:
First, start off by ordering the list from least to greatest. Then, subtract the least number (0) from the greatest number (3), which will get you the range of 3.
Hope this helps! :D
In a certain board game, a number cube is rolled to determine the number of spaces a player gets to move. Use the table above to determine the expected value of the number of spaces a player moves. Round the answer to the nearest tenth. 1.0 1.3 2.2 13.0
Answer:
A. 1.0
B. 1.3
C. 2.2
D. 13.0
Answer:
B.
Step-by-step explanation:
PLZ I need help, it's URGENT!
I don't know if my answers for problems 1-3 are correct, can someone help me please. Thx
if you're good at parabolas please help meeeee
Find the equation of the following parabola
Answer:
Step-by-step explanation:
it is symmetric about y-axis and its axis is x=0
and vertex is (0,2)
so parabola is y=a(x-0)²+2
(2,4) lies on it.
4=a(2)²+2
4a=2
a=1/2
so y=1/2 x²+2
4x (2x® - 7x2 + x)
O 8x4 - 28x3+4x2
o 16x - 7x2 +4x
o 8x4 - 7x2 + x
o 16x4 - 3x3+4x2
Answer:
8x^4 - 28x^3 + 4x^2.
Step-by-step explanation:
4x(2x^3 - 7x^2 + x)
= 4 * 2x^3 + 4x*-7x^2 + 4x*x
= 8x^4 - 28x^3 + 4x^2.
Answer:
8[tex]x^{4}[/tex]-28x³+4x²
Step-by-step explanation:
4x(2x³-7x²+x)=
8[tex]x^{4}[/tex]-28x³+4x²
2x³ × 4x = 8[tex]x^{4}[/tex]
7x² × 4x = 28x³
x × 4x = 4x²
how to solve x - 7 = -13
Answer:
x = -6
Step-by-step explanation:
to solve this you can just add 7 to both sides of the equation.
x -+7 = -13
+7 +7
x = -6
this works because since it puts the x by itself, the other side of the equation is then equal to x and typically in equations with variables you solve for the variables.
hope it helps!
help please very confused.
Answer:
12.
Step-by-step explanation:
Replace k in the radical by -2:
So we have √(-72*-2)
= √144
= 12.
Answer:
12
Step-by-step explanation:
[tex]\sqrt{-72(-2)} = \sqrt{144} = 12[/tex]
Which represents "The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent"?
Answer:
True
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please answer the question stated below
Answer:
2968
Step-by-step explanation:
First make 112% into a decimal, now its 1.12, add all the scooters' sales from all years and multiply by 1.12 then add that number to the total sales of the scooters
Answer:
725 + 579 + 696 = 2000 (What a coincidence)
112% = 112 / 100 = 1.12
Multiply the increase
2000 x 1.12 = 2240
2240 is the amount of scooters sold.
Step-by-step explanation:
Hellllp someone please
Answer:
296
Explanation:
To solve this problem, subtract 128 from 424.
424 - 128
296
Therefore, Jacobs total score is 296 after he loses 128 points from 424 points.
Answer: 296 points
Step-by-step explanation:
424 - 128 = 296
Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x,y) → (-x, -y)?
у
6
5
Z
Y'
4
3
X
2
1
х
1. 2. 3. 4. 5. 6
6.-5.4-3-2-11
-2
5
LE
Ty
Answer:
W(-2, -3), X(-6, -3) , Y(-6, -4) and Z(-3, -5)
Step-by-step explanation:
In the figure attached, the quadrilateral W'X'Y'Z' is shown. Its coordinates are W'(2, 3), X'(6, 3), Y'(6, 4) and Z'(3, 5). Transforming these points according to the rule (x,y) → (-x, -y) we can get the pre-image, quadrilateral WXYZ, as follows:
W'(2, 3) -> W(-2, -3)
X'(6, 3) -> X(-6, -3)
Y'(6, 4) -> Y(-6, -4)
Z'(3, 5) -> Z(-3, -5)
Answer:
the answer is A
Step-by-step explanation:
Mark me brainliest
There are 48 students studying a foreign language at the
community college. If the only two foreign languages offered are
French and Spanish, and 28 students are studying French, which of
the following represents the ratio of students studying Spanish to
the total number of foreign language students?
Answer:
5/12
Step-by-step explanation:
If 28 students are studying French, then the remaining 20 are studying Spanish. The ratio of those studying spanish to the total number of students is 20/48. This can be simplified to 5/12.
Answer:
5 to 12
Step-by-step explanation:
Since 28 students are already taking French, then you have to subtract that from the total students, giving you 20 students who take Spanish. So the ratio for Spanish students to total students would be 20 to 48. But that can be simplified (since all ratios need to be simplified) to 10 to 24. And that can again be simplified to 5 to 12.
Hope this helped!
∠1 and ∠2 are supplementary. If m∠1 = (3x - 17)° and m∠2 = (5x + 21)°. Find the value of x.
Answer:
Step-by-step explanation:
∠1 + ∠2 = 180 {supplementary}
3x - 17 + 5x + 21 = 180
Add the like terms
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176/8
x = 22
Answer:
x = 22
Step-by-step explanation:
Supplementary angles add to 180
<1+ <2 =180
(3x - 17) + (5x + 21) = 180
Combine like terms
8x +4 = 180
Subtract 4 from each side
8x +4-4 = 180-4
8x = 176
Divide each side by 8
8x/8 = 176/8
x = 22
let g(x)= -x^2+4x+4. Find g(p). g(p)=_____
Answer:
g(p)= -p^2+4p+4
Step-by-step explanation:
g(x)= -x^2+4x+4
Replace x with p
g(p)= -p^2+4p+4
Which of the following expressions can be factored by grouping? (Select all that apply.)
a^2 - 9 a + 7 ab + 63 b
3 a + 4 ab - b - 12
ab + 6 b - 2 a - 12
x^3 + 9 x^2 + 7 x + 63
ay^2 + a - y^2 - 1
Answer:
Options (3), (4) and (5)
Step-by-step explanation:
1). a² - 9a + 7ab + 63b
= a(a - 9) + 7b(a + 9)
Now we can not solve this problem further.
Therefore, can't be factored by grouping.
2). 3a + 4ab - b - 12
= a(3 + 4b) - 1(b - 12)
We can't solve it further.
Therefore, can't be factored by grouping.
3). ab + 6b - 2a - 12
= b(a + 6) - 2(a + 6)
= (b - 2)(a + 6)
We can be factored this expression by grouping.
4). x³ + 9x²+ 7x + 63
= x²(x + 9) + 7(x + 9)
= (x² + 7)(x + 9)
Therefore, the given expression can be factored by grouping.
5). ay² + a - y² - 1
= a(y² + 1) - 1(y² + 1)
= (a - 1)(y² + 1)
This expression can be factored by the grouping method.
Options (3), (4) and (5) are the correct answers.
Need by like 10 minutes
Answer:
The final answer is [tex]n > -1[/tex], which would be the first choice.
Step-by-step explanation:
-Solve the inequality:
[tex]-6n + 5 < 11[/tex]
-Subtract both sides by [tex]5[/tex]:
[tex]-6n + 5 - 5 < 11 - 5[/tex]
[tex]-6n < 6[/tex]
-When you are dividing by a negative number, which is [tex]-6[/tex], the inequality sign would change:
[tex]\frac{-6n}{-6} < \frac{6}{-6}[/tex]
[tex]n > -1[/tex]
So, the final answer would be [tex]n > -1[/tex].
30 points !!!please help is this right???
Answer:
-3k +10
Step-by-step explanation:
-3k - (-8) +2
Subtracting a negative is like adding
-3k +8+2
Combine like terms
-3k +10
Answer:
Its actually not. So first the -3k is already simplified. The --8 becomes +8
its -3k+8+2 =
-3k+10
At least I was first answerer. It really helps to get brainliest, I calculated average so for every 20 questions you get 1 brainliest. I am working my way up to brainliest and questions help. I am also working up to Master Answerer
Jill invested $20,000 in an account that earned 5.5% annual interest, compounded annually. What is the value of this account after 10 years? Express your answer rounded to the nearest cent.
Answer:
A = $ 34,162.89
Step-by-step explanation:
A = $ 34,162.89
A = P + I where
P (principal) = $ 20,000.00
I (interest) = $ 14,162.89
Compound Interest Equation
A = P(1 + r/n)nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Answer:
34,162.89
Step-by-step explanation:
1.) Predict how many times you will roll a number less than 3 if you roll a standard number cube 100 times. Round to the nearest integer, if necessary.
You will roll a number less than 3 about____
times.
2.) you flip a fair coin 28 times. About how many times would you expect heads to appear?
If a fair coin is flipped 28 times then heads should appear about______
times.
Step-by-step explanation:
i dont know one. but number to is 14. hope it helps
Pls help me to solve this
Answer:
see below
Step-by-step explanation:
19-3 will be greater
We are multiplying 1/2 *(19-3) which is multiplying by a number less than 1 it will be less than 1
18-3 = 16
1/2 * (19-3)
Using PEMDAS
We do parentheses first
1/2 ( 16)
Then multiply
8
the numerator of a fraction is 1 more than twice its denominator if 4 is added to both the numerator and the denominator the fraction reduces to 5/3 find the denominator
Answer:
11
Step-by-step explanation:
Given Fraction
Let the denominator = x
The numerator is 2x + 1
2x + 1
=====
x
The new fraction
2x + 1 + 4
=========
x + 4
Equation
2x + 5 5
====== = ====
x + 4 3
Solution
Cross Multiply
3(2x + 5) = 5(x + 4)
Remove the brackets
6x + 15 = 5x + 20
Subtract 5x from both sides
6x - 5x + 15 = 20
Subtract 15 from both sides
x = 20 - 15
x = 5
============
Answer
2(5) + 1 = 11
The original numerator is 11
The point (-2, -3) is on a circle that has center (-2,6). Find the length of the diameter of the circle.
Answer:
18
Step-by-step explanation:
√(-2 - -2)² + (6 - -3)² = 9 = radius
diameter = 2r = 18
Find the medium of the following set of data. Round to the nearest 10th if necessary 26.1,8.4,11.4,44.1,32.3,46.41,18.5,20,9.3,19.6
Answer:
19.8
Step-by-step explanation:
You have to first put the numbers into ascending order:
8.4, 9.3, 11.4, 18.5, 19.6, 20, 26.1, 32.3, 44.1, 46.41.
Because there is an even amount of numbers, you end up with 19.6 and 20.
The in between of 19.6 and 20 is 19.8.
(You can work this out by adding the two numbers together and then dividing by two if you have to.)
I have no idea what im doing, can someone please help me? ASAP!!!! Use the pythagorean theorem to find the missing slide.
Answer:
1. b=√56
Step-by-step explanation:
1. Pythagorean therom states a²+b²=c² and in number 1 we are given the c or the hypotenuse so plugging in the values we know 13²+b²=15²
which equals 169+b²=225 subtract 169 from both sides and we get b²=56
square root both sides and we get b=√56
What was the mean number of peas in a pod 2 4 5 6 6 7 8 10 14 18
Answer:
The mean is 7.5
Step-by-step explanation:
1.add all of the numbers together
2.Divide by 10 since you have 10 numbers to add
Hope this Helps!
Find the area of the figure.
Answer:
First find the area of the rectangle.
length x width = area
160 x 20 = 3200 area of rectangle
150 - 20 = 130
160 - 110 = 50
length x width / 2 = area of triangle
130 x 50 = 6500 / 2 = 3250
3200+3250=6450 square meters
Hope this helps
Step-by-step explanation:
What is the best estimate of 11% of 448?
Answer:
49.28.
Step-by-step explanation:
11% = 10% + 1%
So 11% of 448 = 44.8 + 4.48
= 49.28.
The best estimate of 11% of 448 is 49.28.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred.
11% of 448 = 11 / 100 × 448 = 0.11 × 448
= 49.28
Hence, the best estimate of 11% of 448 is 49.28.
Learn more about percentage, click;
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What is one of the solutions to the following system? Y-3=x, x2-6x+13=y
Answer:
x = 5, x = 2
Step-by-step explanation:
substitute what y equals in the second equation into the first equation.
x²-6x+13-3=x
x²-7x+10 = 0
(x-5)(x-2) = 0
x = 5, x = 2
Answer:
It's C my man
Step-by-step explanation: