A sphere has a radius of 4x + 1. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S = 4pir2 for the surface area of a sphere.
helpppppppppppppppppppppppppppp
What is the solution for the system of equations?
Use the substitution method to solve.
2x+y=20−5y=−6x+12
Enter your answer in the boxes.
( , )
Answer:
2x+y=20 and -5y=6x+12 are your equations.
You can turn 2x+y=20 into y=-2x+20
Substitute this value of y into the other equation.
-5(-2x+20)=-6x+12
10x-100=-6x+12
16x=112
x=7
Substitute this value of x into the other equation.
2(7)+y=20
y=6
Your answer is x=7 and y=6.
How to find out how much you pay if there was a sale tax?
On the rectangular coordinate system, what is the shortest distance between points (−4, 3) and (−2, −1)?
Answer:
In other words to what the dude above me said, the answer is "a''
Step-by-step explanation:
One inch on a map equals 300 miles. it is 1/4¨ from el paso texas, to bismarck north dakota. how many miles would it be?
The value of 1/4 inch in miles from the given map is; 75 miles
How do you convert the measurement?We are given that;
1 inch on the map = 300 miles
Now, we want to find what 1/4 inch will give us in miles from the given conversion. Thus;
1/4 inch in miles = 1/4 * 300
⇒ 75 miles
Thus, we will conclude that 1/4 inch will yield 75 miles on the map.
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Find the slope of the line that contains the points named.
X(2, -1), Y(0, 4)
5/2
2/5
-5/2
Consider the functions f(x) = (4/5)^x and g(x) = (4/5)^x + 6. What are the ranges of the two functions?
f(x): {y| y > _____}
g(x): {y| y > _____}
(Fill in the blank with the correct answer)
The range of f(x) = (4/5)^x is {y| y > 0}, and the range of g(x) = (4/5)^x + 6 is {y| y > 6}.
Explanation:The range of a function refers to the set of all possible output values of the function. To determine the range of f(x) = (4/5)^x, we need to consider that any positive real number raised to any power will yield a positive result. Therefore, the range of f(x) is {y | y > 0}.
For g(x) = (4/5)^x + 6, we can see that adding a constant term of 6 to the function will shift the entire graph upwards by 6 units. Consequently, the range of g(x) is {y | y > 6}.
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Subtract 1.05 from a certain number. Multiply the difference by 0.8, add 2.84 to the product then divide the sum by 0.01 and get 700. What is the number?
Suzy likes to mix and match her 3 necklaces, 2 bracelets, and 6 hats. The colors are listed in the table. On Monday, she randomly picks a bracelet, a necklace, and a hat. What is the probability of Suzy choosing a red bracelet and silver hat? NECKLACE COLORS: RED ,GREEN ,GOLD BRACELET COLORS: RED AND BLACK HAT COLORS: SILVER, YELLOW, GREEN, GOLD, BLACK, AND WHITE A. one-half B. one-fourth C. start fraction 1 over 6 end fraction D. start fraction 1 over 12 end fraction
Answer:
The probability of Suzy choosing a red bracelet and silver hat is 1/12
Step-by-step explanation:
Each one of the red, green, and gold necklace have a probability of 1/3.
Each one of the red and black bracelet have a probability of 1/2.
Each one of the silver, yellow, green, gold, black, and white hat have a probability of 1/6.
Hence, the probability of Suzy choosing a red bracelet and silver hat becomes:
[tex]\frac{1}{2}*\frac{1}{6} =\frac{1}{12}[/tex]
So, the answer is 1/12.
Write an equation to represent, "sum of eight and a number is one hundred". What is the number?
PLEASE HELP! WILL MARK BRAINLIEST!
Describe the relationship among the lengths of the segments formed by the secant, , and the tangent segment, .You may use words and/or an equation.
Suppose in. and in. Is it possible to find the length of ? If so, show how to find the length. If not, explain why not.
We can write the answers as -
TU² = TR x TSTU = 6 What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the equation as -
3√x + 3 = 15
{ 1 } -
When a tangent and a secant are drawn from one single external point to a circle, square of the length of tangent segment must be equal to the product of lengths of whole secant segment and the exterior portion of secant segment. We can write -
TU² = TR x TS
{ 2 } -
We can write -
TU² = TR x TS
TU² = 9 x 4
TU² = 36
TU² = ± 6
TU = 6 {non - negative}
Therefore, we can write the answers as -
TU² = TR x TSTU = 6To solve more questions on algebraic expression, visit the link below -
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what is the value of x that equals 14 y=310-25(x)
Please help
According to Cavalieri's principle,
A) the volume of the sphere is equal to the volume of the cones.
B) the volume of the sphere is equal to the volume of the cylinder.
C) the volume of the sphere is equal to two times the volume of the cones.
D) the volume of the sphere is equal to the volume of the solid between the cones and the cylinder.
Answer:
Step-by-step explanation:
The answer is d.
Answer:
d
Step-by-step explanation:
What is the area of a sector with a central angle of 2pi/9 radians and a diameter of 20.6mm? Use 3.14 for Ali and round your answer to the nearest hundredth.
The area of the sector rounded to the nearest hundredth is [tex]$37.02 \, \text{mm}^2$[/tex].
To find the area of a sector, we use the formula:
[tex]\[ \text{Area of sector} = \frac{\text{Central angle}}{2\pi} \times \pi r^2 \][/tex]
Given that the central angle is [tex]\( \frac{2\pi}{9} \)[/tex] radians and the diameter (which is twice the radius) is [tex]$20.6 \, \text{mm}$[/tex], the radius is [tex]\( \frac{20.6 \, \text{mm}}{2} = 10.3 \, \text{mm} \)[/tex].
Now, substituting these values into the formula:
[tex]\[ \text{Area of sector} = \frac{\frac{2\pi}{9}}{2\pi} \times \pi (10.3)^2 \][/tex]
[tex]\[ = \frac{1}{9} \times \pi \times 10.3^2 \][/tex]
[tex]\[ = \frac{1}{9} \times 3.14 \times 106.09 \][/tex]
[tex]\[ = \frac{1}{9} \times 333.2086 \][/tex]
[tex]\[ \approx 37.02 \, \text{mm}^2 \][/tex]
Rounded to the nearest hundredth, the area of the sector is approximately [tex]$37.02 \, \text{mm}^2$[/tex].
Jason draws an angle and then places the compass on the vertex and draws arc that intersects both rays. He then places the compass on each intersecting mark on each ray and draws arcs that intersect inside the angle. Which construction is he creating?
A. copying an angle
B. angle bisector
C. perpendicular bisector
D. perpendicular line through vertex of angle
Two cones have the same radii but one has a height four times larger than the other. How many small cones would be needed in order to have the same volume as the larger cone?
4
8
16
64
please help me please
Compare the properties of the diagonals of a kite with those of a square.
Diagonals of square are congruent while diagonals of kite are not congruent to each other.
What is diagonal?
" Diagonal is a straight line segment which connects the opposite vertices of any polygon or polyhedron."
Compare the properties of diagonal of square and kite
1) Diagonals of square are congruent while diagonals of kite are not of same length.
2) Diagonals of square bisect each other while in kite longer diagonals bisects the smaller one.
3) Diagonals of square and kite are perpendicular to each other.
Hence, diagonals of square are congruent while diagonals of kite are not congruent to each other.
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What is the sum of the geometric series
Answer:
Hence, the sum of the geometric series is:
259
Step-by-step explanation:
We are given a geometric series as:
[tex]\sum_{i=1}^4 6^{i-1}[/tex]
i.e. we are asked to fnd the sum of first four terms of the geometric series with first term as 1
Since, the series is:
[tex]6^0+6^1+6^2+6^3[/tex]
Also, the common ratio of the series is: r=6
Since, each of the term of the series is 6 times it's preceding term.
Also we know that sum of a finite geometric series with n-terms and common ratio r is calculated by the formula:
[tex]S_n=a(\dfrac{r^n-1}{r-1})[/tex]
Here we have: a=1 and r=6 and n=4
Hence,
[tex]S_4=1(\dfrac{6^4-1}{6-1})\\\\\\S_4=\dfrac{1295}{5}\\\\\\S_4=259[/tex]
Hence, the sum of the series is:
259
Fan for everyone who helps, medal for whoever helps the most! :)
1. What is the sum of the polynomials?
(m + n + 3) + (m + n + 4)
2. Which expression can be used to find the difference of the polynomials?
(10m – 6) – (7m – 4)
3. Which expression can be used to find the difference of the polynomials?
(4m – 5) – (6m – 7 + 2n),
Answer:
1- The sum is: 2m + 2n + 7 = 2(m+n) + 7
2- The difference is: 3m - 2
3- The difference is: -2m - 2n + 2 = -2(m+n-1)
Explanation:
Before we begin, remember the following:
+ve * +ve = +ve
-ve * -ve = -ve
+ve * -ve = -ve
-ve * +ve = -ve
Also, remember that, we only add/subtract like terms. There are terms which have the same variable(s) raised to the same degree
Now, let's check the problems:
Problem 1:
Adding two polynomials:
(m + n + 3) + (m + n + 4)
We first start by getting rid of the brackets:
m + n + 3 + m + n + 4
Now, we add like terms:
2m + 2n + 7
As an additional step, we can take 2 as a common factor from the first two terms:
2(m+n) + 7
Problem 2:
Subtracting two polynomials:
(10m - 6) - (7m - 4)
We first start by getting rid of the brackets. Take care of the different signs while doing so:
10m - 6 - 7m + 4
Now, we add/subtract like terms:
3m - 2
Problem 3:
Subtracting two polynomials:
(4m - 5) - (6m - 7 + 2n)
We first start by getting rid of the brackets. Take care of the different signs while doing so:
4m - 5 - 6m + 7 - 2n
Now, we add/subtract like terms:
-2m - 2n + 2
As an additional step, we can take -2 as a common factor from the above expression:
-2(m+n-1)
Hope this helps :)
Which coordinate Gird shows the correct locations of P (1,2.5) Point Q which is a reflection Of point P across the Y-axis And R (2.-2.5)
Please help(:
Two planes intersect to ____ form a line
A. Always
B. Sometimes
C. Never.
D. Inconclusive.
Which of the following is true?
A. All quadrilaterals are polygons with two pairs of parallel sides.
B. All quadrilaterals are polygons with four sides.
C. All quadrilaterals are polygons with at least one pair of parallel sides.
D. All quadrilaterals are polygons with four sides at least one pair of parallel sides.
Answer:
1. Two planes intersect to ALWAYS form a line. If two planes intersect, they intersect in a line. The two planes that do not intersect, they form parallel lines.
2. The true statement is :
All quadrilaterals are polygons with four sides. A quadrilateral is a geometrical shape that has four sides and four angles. These are also called polygons. There are many types of quadrilaterals like - the parallelogram, the rectangle, the square, rhombus etc.
The probability that it'll rain tomorrow in Ohio is 30%
The probability that it'll rain tomorrow in both Ohio and Alaska is 12%
If it rains tomorrow in Ohio what is the probability that it will rain tomorrow in Alaska?
Help Please!!!
A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. How much gas can the pressure vessel hold when full?
I know the answer is 81pi cubic ft
but not sure what formula to use to get that answer. It's not Volume of a cylinder.,
Answer:
You would need to use the formula for the volume of cylinder in order to get this. That's how I got to the answer of 81 pi. Maybe you used a different/wrong formula but you do need the formula for the volume of a cylinder.
Experimental vs. Theoretical Probability:
John is about to roll a six-sided, fair number cube 60 times. He wants to predict how many times the cube will land on an even number. He makes a prediction of 20 times. Is it a good prediction? What would your prediction be based on theoretical probability?
Answer:
Guy above is correct
Step-by-step explanation:
Two angles that are supplementary have a ratio of 7 to 5. what are their measurements?
Given the function f(x) = 0.5(3)x, what is the value of f−1(7)?
This question has been asked before but the answer is unclear to me.
Batteries for an MP3 player usually cost $8.00, but they are on sale for 40% off. What is the discount amount? What is the sale price for these batteries?
Answer:
its b!
Step-by-step explanation:
discount is $8 = 40/100 to find that discout
is $3.20
sale price : $8.00 - $3.20 which is $4.80!
Your welcome! :D