a sphere has a volume of 36 (3.14) cm cube. what is the diameter of the sphere
Answer:
Diameter = 6 cmStep-by-step explanation:
The formula of a volume of a sphere:
[tex]V=\dfrac{4}{3}\pi R^3[/tex]
We have V = 36(3.14) cm³ = V = 36π cm³. Substitute:
[tex]\dfrac{4}{3}\pi R^3=36\pi[/tex] divide both sides by π
[tex]\dfrac{4}{3}R^3=36[/tex] multiply both sides by 3
[tex]4R^3=108[/tex] divide both sides by 4
[tex]R^3=27\to R=\sqrt[3]{27}\\\\R=3\ cm[/tex]
The diameter D = 2R.
Therefore D = 2(3 cm) = 6cm
christina plotted the shape of her garden on graph paper. she estimates that she will get about 15 carrots from each square unit. she plans to use the entire garden for carrots. about how many carrots can she expect to grow? explain.
I wish I could help but I can’t bc I don’t know what it is sorry
Answer:
300 carrots
Step-by-step explanation:
Count the square units inside the composite figure. The area of the garden is 20 sq. units. Each square unit will grow about 15 carrots. Therefore, Christina will multiply 20 by 15 totaling to 300 carrots.
George has a box of chocolates. There are 12 pieces of chocolate with nuts and 20 pieces of chocolate without nuts in the box. What is the ratio of pieces of chocolate without nuts to pieces of chocolate with nuts?
A.
15:1
B.
1:15
C.
3:5
D.
5:3
Answer:
Step-by-step explanation:
Good evening ,
________________
the ratio of pieces of chocolate without nuts to pieces of chocolate with nuts:
20:12 = (20:4) : (12:4) = 5:3.
Then the correct answer is D.
____________________________
:)
To find the ratio of chocolates without nuts to chocolates with nuts, divide the quantities of each. With 20 chocolates without nuts and 12 with nuts, the simplified ratio is 5:3, corresponding to answer D.
The question asks us to find the ratio of pieces of chocolate without nuts to pieces of chocolate with nuts. George has 12 pieces of chocolate with nuts and 20 pieces of chocolate without nuts.
To determine the ratio, we divide the number of chocolates without nuts by the number of chocolates with nuts:
Ratio = Number of chocolates without nuts / Number of chocolates with nutsRatio = 20 / 12Ratio = 5 / 3 (after simplifying)Therefore, the correct answer is D. 5:3. This is the ratio of pieces of chocolate without nuts to pieces of chocolate with nuts.
What is x please
3x +9 = 12
➷ 3x + 9 = 12
Subtract 9 from both sides:
3x + 9 - 9 = 12 - 9
As you can see, the '9' would cancel out on the left side:
3x = 3
Divide both sides by 3:
x = 1
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3x + 9 =12
To solve for x you need to get it by itself.
First subtract 9 from both sides of the equation:
3x = 3
Now divide both sides by 3
x = 3/3
x = 1
what value of x makes the equation below true?
Answer:
B
Step-by-step explanation:
7 + x = 84
Subtract 7 from both sides.
x = 77
Factor x^2y–y+xy^2. I NEED THIS ASAP
Answer:
[tex]x^{2}y -y+xy^{2}\\y(x^{2}-1+xy)\\[/tex]
Step-by-step explanation:
take out the y
For each value of Y, determine whether it is a solution to 15Greater than or equal to Y
Answer:
16,21,15
Step-by-step explanation:
The solutions are 16, 21, and 15. The only value that is not a solution is 11 since 11 is less than 15
Inequality expressions are expressions separated by an unequal sign
Given the inequality expression 15 ≤ y
On swapping sides, the inequality sign will change to have y ≥ 15
Based on the table, we need to select yes for values that are greater than or equal to 15 and select no if otherwise
Based on the given value, the solutions are 16, 21, and 15. The only value that is not a solution is 11 since 11 is less than 15
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Find the surface area of this triangular prism
Answer:
To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.
this will show u i searched it and wrote half in my words
Answer:
315 in^2
Step-by-step explanation:
Triangles
Area of the two triangular faces.
Area = 1/2 * h * b
h = 7 in
b = 11 in
Area = 1/2 * 7 * 11
Area = 1/2 * 77
Area = 38.5
But there are 2 faces
Area = 38.5 * 2
Area = 77 in^2
Area Left Face
Area left face = height * width
Area left face = 14 * 8
Area left face = 112 in^2
Area Right face
Area Right face = w*h
w = 9
h = 14
Area = w*h
Area right face = 126 in^2
Total Area
Total Area = 126 + 112 + 77
Total Area = 315 in^2
Multiply each of the following numbers 7.32, and 0.006 by 10, 100, and 1,000. Then explain the pattern you can use to find the products. *
Your answer
7.32
10 = 73.2
100 = 732
1000 = 7320
0.006
10 = 0.06
100 = 0.6
1000 = 6
The decimal place moves to the right depending on how many zeros the number has.
For example, if you had 0.6 multiplied by 100, you would move 2 decimal places to the right because 100 has two zeros.
add 5 to p then divide 7 by the result
Answer:
p should equal -4
Step-by-step explanation:
Will mark BRAINLIEST!!!
Answer should be C
hope this helped you.
Answer:
[tex]8a^3b^3c^4(\sqrt[3]{bc} )[/tex] C. should be your answer
Step-by-step explanation:
Evaluate 12x−3y when x=−1/4 and y=3.
Answer:
-12
Step-by-step explanation:
12x−3y
Let x = -1/4 and y=3
12(-1/4) -3(3)
Multiply
-12/4 -9
Divide
-3-9
Add
-12
Answer:
-12
Step-by-step explanation:
12x-3y...
It is straightforward, but you plug in -1/4 and 3 in the equation.
12(-1/4)-3(3)
-3-9
so you get
-12
{ 5x - y = 5
{ 5x - 3y = 15
solve the system using substitution
Answer:
Not sure sorry,but can you please help me on the following:
Step-by-step explanation:
Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the squares share one side with the rectangle. The total area of the constructed figure is 120 cm2. What is the perimeter of the rectangle?
Answer:
Step-by-step explanation:
How nice question 7s it
a six sided die is tossed. Determine the odds against rolling a 2.
5:1, 5/6, or 84%(rounded).
There is one chance of rolling a 2 and since it is against rolling a 2, you have a 5 other numbers you could get.
The supports of a wooden table are in the shape of a triangle. Find the angles are in the ratio 4x : 4x : 10x
Answer:
1) 40°
2) 40°
3) 100°
Step-by-step explanation:
The sum of angels of a triangle is: 180°
The ratio of angles are: 4x,4x,10x
The sum of ratios: 4x + 4x + 10x
=> 18x
Therefore,
=> 18x = 180
=> x = 180/18
=> x = 10
So, required angels are:
4(x) = 4(10) = 40°4(x) = 4(10) = 40°10(x) = 10(10) = 100°The angles of the triangular supports of the wooden table are 40 degrees, 40 degrees, and 100 degrees.
The sum of the angles in any triangle is 180 degrees. Given that the angles are in the ratio 4x : 4x : 10x, we can find the value of x by setting up the equation:
4x + 4x + 10x = 180
Combining like terms, we get:
18x = 180
To find the value of x, we divide both sides of the equation by 18:
x = 180 / 18
x = 10
Now that we have the value of x, we can find the measures of the three angles:
First angle = 4x = 4 * 10 = 40 degrees
Second angle = 4x = 4 * 10 = 40 degrees
Third angle = 10x = 10 * 10 = 100 degrees
The answer is: [tex]40^\circ, 40^\circ, 100^\circ.[/tex]
PLS HELP 20 POINTS
Carrie built a fort to plain in by connecting two boxes.The first box is 7 meters long,9 meters wide and 8 meters high.The second box is 3;meters long, 8 meters wide, and 2 meters high how many cubic meters of space does Carrie have to play in?
Answer: 552 cubic meters
Step-by-step explanation: You want to find the volume. To do this, multiply each number with each other. 7 times 9 times 8 is 504 and 3 times 8 times 2 is 48. Then, add the two products. 504 plus 48 is 552.
What are the factors of x2 − 49? (x − 1)(x + 49) (x − 7)(x − 7) (x − 7)(x + 7) Prime
the answer would be (x+7)(x-7)
Answer:
(x+7)(x-7)
The factors are -7 and 7
Step-by-step explanation:
Given the function x²-49, to find the factors, we will factorise the expressed using the different of two square.
If a and b are two numbers, then based on difference of two square;
a²-b² = (a+b)(a-b)
Applying this to the function in question
x²-49
= x²-7²
= (x+7)(x-7)
The factors can be gotten by equating the function to zero according to factor theorem.
(x+7)(x-7) = 0
x+7 = 0 and x-7 = 0
x = -7 and 7
Leo deposited $2494.05 in an account that earned 2.5% interest compounded weekly for 13 years. After 13 years, how much had Leo earned in interest?
Leo earned approximately $992.08 in interest after 13 years.
Explanation:Compound interest is calculated using the formula:
A = P(1 + r/n)^(nt)
Where:
A = Total future amountP = Principal amountr = Annual interest rate (as a decimal)n = Number of times the interest is compounded per yeart = Number of yearsIn this case, Leo deposited $2494.05 with an interest rate of 2.5% compounded weekly for 13 years. Plugging the values into the formula:
A = 2494.05(1 + 0.025/52)^(52*13)
A = 2494.05(1.00048077)^(676)
A ≈ $3486.13
To find the interest earned, subtract the principal amount from the total future amount:
Interest = A - P
Interest ≈ $3486.13 - $2494.05
Interest ≈ $992.08
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You run 7 miles in one hour and 21 miles in three hours
Answer: the answer is three sorry if its wrong.
Step-by-step explanation:
Your answer will be 3
HELP PLEASEEE PLEASEEEEEEE HELP ME!
Answer:
A. 3 Inches
Step-by-step explanation:
To find the radius of the circle, we need to use the Pythagorean Theorem.
a²+b²=c²
a = r inches
b = AD or 4 inches
Now to get the value of c, we need to consider the measurement of the line AD. The sum of line AD and line DC will be the value of the hypotenuse.
c = r + 2 inches
Now that we have our variables, let's plug them in.
a² + b² = c²
r²+ 4² = (r + 2)²
Now we need to use the FOIL method for r + 2.
r² + 16 = (r + 2)(r + 2)
r² + 16= r² + 2r + 2r + 4
r² + 16 = r² + 4r + 4
Now we can remove r² by subtracting both sides by r², leaving us with:
16 = 4r + 4
Now we subtract 4 from both sides.
4r = 12
Now we divide both sides by 4.
r = 3 inches
Answer:
A. 3 inches
Step-by-step explanation:
Triangle ABC is a right angled triangle
Therefore;
Using the Pythagoras theorem then;
AB² + BC² = AC²
but BC = CD = radius
Hence;
4² + r² = (r+2)²
16 + r² = r² + 4r +4
16 - 4 = 4r
12 = 4r
r = 3
Therefore; the radius of the circle is 3 inches
Patel's class voted on their favorite color. Patel plans to make a circle graph to display the results. which statements are true about the circle graph Patel can create? Check all that apply.
last option is
The same number of students voted for red as for indigo
Answer:
Step-by-step explanation:
1) Percentage of blue = [tex]\frac{6}{36} *100\\=16.67%\\=17%[/tex]
True
2) Organe has the least number and hence true
3) Yes. 36 students represent 100% of the data set
4) violet has 12 i.e. 12/36 =1/3 of the total. Hence true.
5) There are 7 colours and hence 7 segments. Hence false.
Answer:
1, 2, 3, 4, and 6
Step-by-step explanation:
Right on E D G E N U I T Y unit test.
A member of a book club wishes to purchase two books from a selection of eight books recommended for a certain month. In how many ways can she choose them?
Answer:
She can chose 2 books from 8 books in 28 different way.
Step-by-step explanation:
In the given scenario the member has to chose 2 books from a group of 8 books. The order of choosing books does not matter. For example if the books are A,B,C,D,E,F,G and H, and the member picks books A and B or books B and A, she is picking up the same books. This means order of selection does not matter here, so this is a problem of combinations.
We have to form combination of 8 books taken 2 at a time i.e. 8C2
The general formula of combination is:
[tex]nCr=\frac{n!}{r!(n-r)!}[/tex]
Using the values of n=8 and r=2, we get:
[tex]8C2=\frac{8!}{2!(8-2)!}=28[/tex]
This means, she can chose 2 books from 8 books in 28 different ways.
Answer:
28 was right on acellus
Step-by-step explanation:
use the distributive property to write an expression that is equivalent to each expression. -2(-6x + 3y - 1)
Im pretty sure this is the answer
12x-6y+2
sound travels in waves. in dry air at 20 Celsius ,sound travels about 343 meters in one second. how many meters will ,sound travels in 7 seconds?
it will travel 343m•7. this is 2401 meters.
The distance of the sound in 7 seconds will be 2401 meters.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that sound travels in waves. in dry air at 20 Celsius, sound travels about 343 meters in one second.
The distance travelled by the sound in 7 seconds will be calculated as,
Distance = 343 x time
Distance = 343 x 7
Distance = 2401 meters
Therefore, the distance of the sound in 7 seconds will be 2401 meters.
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what is the domain of the function
Answer:
Option B.
Step-by-step explanation:
Domain of any function is defined by all the values of x for which the given function is valid.
In other words for any function if we put the value of x and we get a unique value of y, then x - values are considered as the domain of the function and y- values as range.
From the given graph we can easily say all the values of x greater than (-3) is the domain set.
Therefore, Option B. is the answer.
Solve 430-200 using the arrow way.
Answer:
190
Step-by-step explanation:
430->230 subtract 200
430->230->200 subtract 200 then 30
430->230->200->190 subtract 200 then 30 then 10
To solve 430-200 using the arrow way, start with 430, draw an arrow to subtract 200, and write the result, 230, at the tail of the arrow.
Explanation:How to Solve 430-200 Using the Arrow WayTo find the solution to 430-200 using the arrow way, you can follow these steps:
Start by writing the number 430.Draw an arrow downwards to subtract 200 from 430.Calculate the value after this subtraction, which gives you 230, and write this number at the tail of the arrow.This visual representation using arrows helps illustrate the process of subtraction. The final answer, or the head of the arrow, is therefore 230.
9. Consider a pattern that begins with 28 and each consecutive number is six more than the previous term. What are the first three terms of this pattern?
Answer:
The first three numbers in the pattern would be 6, 12, and 18 since the rule pattern goes by six. I'm not sure if this is what you were looking for but I hope I helped!
A triangle with measures of x∘, 2x∘, and 2x∘ is a(n) triangle.
X+2x+2x=180
5x=180
X=36
2x=72
2x=72
If you roll a single six-sided die, what is the probability of rolling an odd number? A. B. C. D. 3
The probability of rolling an odd number on a six-sided die is 1/2 or 50%, calculated by dividing the 3 odd outcomes (1, 3, and 5) by the total of 6 possible outcomes.
Explanation:If you roll a single six-sided die, the question asks what is the probability of rolling an odd number. A six-sided die has three odd numbers (1, 3, and 5) and three even numbers (2, 4, and 6). Therefore, the probability of rolling an odd number is calculated by dividing the number of odd outcomes by the total number of possible outcomes.
The formula for probability is Probability = Number of favorable outcomes / Total number of possible outcomes. In this case, there are 3 favorable outcomes (rolling a 1, 3, or 5) out of 6 possible outcomes (since a die has 6 sides). Therefore, the probability is 3/6, which simplifies to 1/2.
So, if you roll a single six-sided die, the probability of rolling an odd number is 1/2 or 50%.
Helppppp Plsssss Asap!! Show your work!! Thanks.
Answer:
D. g(x)= {x+2}-3 is the answer
Step-by-step explanation:
1) shift 2 units to the right ( Talking about the X-axis Image that you are on the origin point on the x-axis moving to right is positive moving to the left is Negative.)
So x will be 2 or x+2 or 0,2
2) Shift 3 units down is talking about the Y-axis( Imagine you are at the origin (0,0) Moving up is positive moving down is negative)
So it will be -3
That why my answer is what it is
Hopes this help you!