Final answer:
Given a sphere with a volume of 904.78 cm3, we find the radius to be approximately 6.13 cm, and the area of the largest cross-section, a circle, turns out to be approximately 118.08 cm2.
Explanation:
If the sphere has a volume of approximately 904.78 cm3, we can start by calculating the radius of the sphere using the volume formula for a sphere:
V = (4/3)πr3
Solving for r:
r = &Sqrt[3]{(3V)/(4π)} = &Sqrt[3]{(3×904.78 cm3)/(4π)} ≈ 6.13 cm
The largest cross-section of the sphere will be a circle with the diameter equal to the diameter of the sphere, hence the area A of this circle will be:
A = πr2 = π×(6.13 cm)2 ≈ 118.08 cm2
Therefore, the approximate area of the largest cross-section of the sphere is 118.08 cm2, which is not listed among the provided options, implying a possible typo or error in the options. Option closest to the calculated area is B) 113.1 cm2.
The inverse of G(x) is a function.
A. True
B. False
Answer:
this is false
Step-by-step explanation:
lines that curve can function but if the line that curves hit say "the y is twice it is not a function it is only a function if it does not hit a line twice" this isnt a function because it hits the y axis twice.
Round to the nearest hundredth 4.644
Answer:
4.64
Step-by-step explanation:
the number that comes after the hundreth place(4) is less than 5 so you keep all of the other numbers the same
i am having a hard time with this page if someone can help me i will appreciate it a lot!!
Answer:
#1 is It could be another girl or it could be a boy
#2 is Its could be another boy or it could be a girl.
The diagram should look like this:
BB. BG
GB GG
#4 is 4
#5 is 1
#6 is there is 1/2 a change the baby can be a girl and a 1/2 change the baby can be a boy. For both of them to be girls; it would be 1/4 chance.
For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
vFor Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
vFor Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
v85g5c
1) The expression that represents the total cost of the bouncy house for c children is:Total Cost} = 150 + 2c 2) The total cost for the bouncy house for 15 children is $180.
(1) The expression that represents the total cost of the bouncy house for c children is given by: Total Cost} = 150 + 2c
(2) Given that a total of 15 children attended Sue’s party, including Sue, substitute c with 15 in the expression:
Total Cost} = 150 + 2 * 15
Total Cost} = 150 + 30
Total Cost} = 180
Therefore, the total cost for the bouncy house for 15 children is $180.
Y = 3x +5
Y = 4x - 2
What is Y?
Find the scale factor of figure A to Figure B.
Answer:
Step-by-step explanation:
The scale factor from figure a to figure b would be 1/16 i believe.
Correct me if im wrong
The scale factor of figure A to figure B is 5/9.
In the given figure, A and B are similar triangles.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Here, 20/36
= 5/9
= 14/25.2
= 2/3.6
= 5/9
Hence, the scale factor of figure A to figure B is 5/9.
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*WILL MAKE BRAINLIEST*
which statement about these triangles is true?
a) The dilation is an enlargement.
b) The dilation is a reduction.
c) It is not a dilation.
d) There is not enough information.
Answer:
Not sure, but I would put A
Step-by-step explanation:
3. Roberto wants to reduce a drawing that is 12 inches long by 9 inches wide. If his new drawing is 8 inches long, how wide will it be?
Answer:5 inches wide
Step-by-step explanation:
12-8 (long)=4
9-4 (getting the new drawings length so you subtract)=5
Which number is equivalent to -(-2)?
Answer:
2
Step-by-step explanation:
negative times a negative is a positive
In mathematics, a double negative gives a positive result. Therefore, -(-2) equals 2, so the number equivalent to -(-2) is 2.
Explanation:In Mathematics domain, the double negative rule states that the 'negative of a negative is a positive'. It suggests that if you have two negative signs, one turns the other into a positive. So, -(-2) is equals to +2. In simpler terms, if you have a negative number and you negate it, you get the positive version of that number. Therefore, the number that is equivalent to -(-2) is 2
.
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Alice has two flying disks. One is 12 cm in a diameter and the other is 24 cm in diameter. What is the difference in cubic centimeters between the areas of the two flying disks? Can someone please explain it to me, I need help!
The difference in cubic centimeters between the areas of the two flying disks is 144π cm³.
Explanation:To find the difference in cubic centimeters between the areas of the two flying disks, we need to calculate the volumes of the disks and then find the difference between them. The volume of a disk can be calculated using the formula V = (π * r^2 * h) / 3, where r is the radius and h is the height. Since the disks are 2-dimensional, we can assume their height is negligible.
For the disk with a diameter of 12 cm (radius = 6 cm), the volume is (π * 6^2 * 0) / 3 = 0 cm³.
For the disk with a diameter of 24 cm (radius = 12 cm), the volume is (π * 12^2 * 0) / 3 = 144π cm³.
The difference in cubic centimeters between the areas of the two flying disks is 144π cm³.
what goes in the blanks
Step-by-step explanation:
2x² + x - 28
= 2x² + ( 8 - 7)x - 28
= 2x² + 8x - 7x - 28
= 2x ( x + 4) - 7( x + 4)
= (x + 4) (2x - 7)
Hope it will help you :)
15 subtracted from the product of a number and 4 is -59. Just write equation do not solve please
Answer:
15-x+4=-59
Step-by-step explanation:
The equation of 15 subtracted from the product of a number and 4 is -59 is 4x - 15 = -59.
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 15 is subtracted from the product of a number and 4 is -59. The expression will be written by assuming that the unknown number is x.
The expression is written as,
4x - 15 = -59
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When you declare a function?
Answer:
It is always recommended to declare a function before its use so that we don't see any surprises when the program is run
Step-by-step explanation:
Which type of correlation would you expect between a city's monthly temperature averages and precipitation totals? Why?
A)-1; strong negative correlation between the monthly temperature averages and the amount of precipitation.
B)0; relatively no correlation.
C).98; strong positive correlation between the monthly temperature and the amount of precipitation
D)1; strong positive correlation between the monthly temperature averages and the amount of precipitation
Answer:
B) 0; relatively no correlation.
Step-by-step explanation:
Data tends to not be collinear
The correct statement is,
D)1; strong positive correlation between the monthly temperature averages and the amount of precipitation.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, We get;
Based on the general understanding of climate trends, the correct correlation between a city's monthly temperature averages and precipitation totals would be;
⇒ strong positive correlation between the monthly temperature averages and the amount of precipitation.
because in warmer months, the air can hold more moisture, leading to more precipitation. In colder months, there is less moisture in the air, leading to less precipitation.
Thus, as the temperature increases, so does the amount of precipitation, resulting in a strong positive correlation.
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rule: y=x+3
HELPpppppp
Answer:
Step-by-step explanation:
when y=4
x=4-3=1
when y=8
x=8-3=5
when y=5
x=5-3=2
Answer:
[tex]\left[\begin{array}{ccc}x&y\\1&4\\5&8\\2&5\end{array}\right][/tex]
Step-by-step explanation:
x + 3 = y
1 + 3 = 4
5 + 3 = 8
2 + 3 = 5
brainliest?
Solve for d.
4d - 4 = 5d - 8
Answer:
Step-by-step explanation:
4d-4=5d-8
add 4 to both sides
4d=5d-4
subtract 5d from both sides
-d=-4
switch so d is positive
d=4
Answer: d = 4
Step-by-step explanation:
4d - 4 = 5d - 8
+8 +8 (Add 8 to both sides)
4d + 4 = 5d
-4d -4d (Subtract 4d from both side)
d= 4
Please can some explain how to identify angles that on the same segment?
Step-by-step explanation:
Angles in the same segment. The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.
Picture 1 a° = a° they are the same
Picture 2 p= 52° q= 40° Angles in the same segment are equal. if they ask you to calculate you just show both angles p= 52 and q=40.
Picture 3 + 4 Let the obtuse angle MOQ = 2x.
Using the circle theorem, the angle at the centre is twice the angle at the circumference.
Therefore picture 4 tells us and proves;
Angle MNQ = x and angle MPQ = x.
Picture 5
A cyclic quadrilateral is a quadrilateral drawn inside a circle. Every corner of the quadrilateral must touch the circumference of the circle.
The second shape is not a cyclic quadrilateral. One corner does not touch the circumference.
Picture 6
The opposite angles in a cyclic quadrilateral add up to 180°.
a + c = 180°
b + d = 180°
Picture 7
Example
Calculate the angles a and b.
The opposite angles in a cyclic quadrilateral add up to 180°.
This is a picture that couldn't be added but has a quadrilateral occupying half the triangle consisting of 3 arcs the middle one was 140 and proved part of one triangle. The x (a) missing angle showed below a = 180-60 = 120 °
So hopefully this will help you remember the format here for quadrilateral shapes within a circle.
b = 180 - 140 = 40°
a = 180 - 60 = 120°
New car sales for $25,000 the value of the car decreases by 15% each year what is the approximate value of the car five years after it is purchased
Answer:
approximately $18,984
Step-by-step explanation:
so 15% multiplied by 5 is 75%
25,000 multiplied by .75 is 18,750
Dan and Luck are running in a 20 mile charity benefit race. If Dan runs at 3 mph and Luke runs at 4 mph, how long until their total mileage equals 20 miles?
Answer:
one-fifth of $1,000 is $200; a donation of $30 per charity results in a total of $240 in 1. 32 1/2 2. 30 3. Dan went first and dug 1/9 of the total distance early the next morning.
Step-by-step explanation:
The scale of a map is 1 inch : 10 miles. On the map, Main Street is 0.6 inch long. What is the actual length of Main Street?
A. 6 in.
B. 60 in.
C. 6 mi.
D. 60 mi.
Answer:
option C. 6 mi.
Step-by-step explanation:
Consider the exponential function f(x) = 2(3)x and its
graph.
Answer:
initial value = 2
base = 3
this function is exponential growth
Step-by-step explanation:
The formula for exponential functions is [tex]f(x) = ab^{x}[/tex]
a = initial value
b = the constant/change factor/fixed base value
x = independent variable
if the function approaches (∞ , ∞) it is positive
area is 20 square units. the length is 4 more than 3 time the width. find the dimension
Write the formula and answer SHOW ALL WORK!
starts with 20 smthing x3 +4 = 20 but what is it ???? hmmmm if you think more you can fiqure it out by just finding random numbers so use ur brain i guess???
Answer:
width: 2
length: 10
Step-by-step explanation:
L = 3W + 4
A = LW = (3W + 4) x W
= 3w² +4w
3w² + 4w = 20
3w² + 4w -20 = 0
(w - 2) (3w + 10) = 0
w = 2 or w = - 10/3 (width is positive) ∴ width = 2
length = 3 x 2 + 4 = 10
a hatchling turtle has a shell with a 1-inch diameter. the shell keeps a similar shape as the turtle grows. compare the volume and surface area of the hatchling's shell to the shell when it's diameter is 4 inches
Comparing a hatchling turtle's shell of 1-inch diameter to a 4-inch diameter shell reveals that the volume increases by a factor of about 64, while the surface area only increases by about 16. This difference is due to the way volume and surface area are calculated, with the radius being cubed in the volume formula and squared in the surface area formula.
Explanation:The volume of a sphere (like the turtle's shell) is given by the formula: V = (4/3) * π * r³, and the surface area by A = 4 * π * r², where r is its radius. If a hatchling turtle's shell has a 1-inch diameter, it has a radius of 0.5-inches. If as the turtle grows, its diameter expands to 4-inches, then the radius will be 2-inches. As the radius in each formula is cubed in the volume formula and squared in the surface area formula, the volume will increase far more rapidly than the surface area.
For the smaller turtle, V = (4/3)*π*(0.5)³ = 0.52 cubic inches and A = 4*π*(0.5)² = 3.14 square inches. For the larger turtle, V = (4/3)*π*(2)³ = 33.51 cubic inches and A = 4*π*(2)² = 50.27 square inches. Comparing, the volume increases by a factor of 64 (33.51/0.52) whereas the surface area increases by a factor of roughly 16 (50.27/3.14). This shows that although the turtle's shell maintains the same shape as it grows, the volume increases significantly more than the surface area.
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Timmy drew a triangle that had a 95 degree angle and no congruent sides
Answer:
obtuse scalene triangle
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Timmy drew a triangle with no cogruent sides and a 95° angle. Classify the triangle by the lengths of its sides and measures of its angles. Explain
My answer:
As we know that, the sum of 3 internal angles on a triangle is 180° . In the question, Timmy drew a triangle that had a 95 degree it means that sum of the other two angles is:
180° - 95° = 85 °
Futhurmore, no congruent sides
So his angle will be obtuse scalene triangle, you can have a look at the attached photo
factor the term 20x^6
Step-by-step explanation:
[tex] {20x}^{6} \\ = 2 \times 2 \times 5 \times x \times x \times x \times x \times x \times x[/tex]
hey Emma your answer is here
Solve the following linear system of equations using substitution.
y = 3x - 5
y = 2x - 6
A. (3,2)
B. (-5,-6)
C. (-1,-8)
D. (1,-2)
Answer:
Step-by-step explanation:
since both equations are equal to the same thing, y, they are therefore equal to each other
so:
[tex]3x-5=2x-6\\x-5=-6\\x=-1\\[/tex]
substitute x, -1, into either equation to solve for y
[tex]y=3(-1)-5\\y=-3-5\\y=-8[/tex]
or
[tex]y=2(-1)-6\\y=-2-6\\y=-8[/tex]
Therefore, the solution is (-1,-8)
After solving the equations by substitution method the value of x is -1 and the value of y is -8. Hence, option C is correct.
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given equation from the question,
y = 3x -5 (i)
y = 2x - 6 (ii)
Compare both equations,
3x - 5 = 2x - 6
3x -2x = -6 + 5
x = -1
Substitute x = -1 in equation (i)
y = 3 (-1) - 5
y = -8.
Therefore, both the values are (-1, -8).
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Which of these four sets of side lengths will form a right triangle? Set 1 6 cm, 7 cm, StartRoot 12 EndRoot cm Set 2 8 in., StartRoot 29 EndRoot in., StartRoot 35 EndRoot in. Set 3 StartRoot 3 EndRoot mm, 4 mm, StartRoot 5 EndRoot mm Set 4 9 ft, StartRoot 26 EndRoot ft, 6 ft Set 1 Set 2 Set 3 Set 4
Answer:
16 cm,7cm, start root 12.
PLEASE PLEASE PLEASE HELP!!!!!!!
Find the values of x and y that make these triangles congruent by the HL Theorem.
Answer:
x = 5, y = 6
Step-by-step explanation:
When you put these values in for x and y, the corresponding sides are congruent, also making the triangles congruent by the Hypotenuse-Leg Theorem.
I hope this helps! ☺
Which equation could be used to solve for the length of
XY?
OXY = (22)sin(41°)
O XY = (22)cos(419)
OXY = 22.
cos(41°)
O XY = 22
sin( 41°)
The expressions used to find XY is XY = 22/sin(41)
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Given triangle XYZ with side XY as the hypotenuse. Hence using trigonometric ratios:
sin(41) = 22 / XY
Making XY the subject of the equation:
XY = 22/sin(41)
The expressions used to find XY is XY = 22/sin(41)
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Answer:
D. XY = 22/ (sin) 41
Step-by-step explanation:
I did it on edge
Four graphs are shown below:
Which graph best shows the line of best fit?
Graph A
Graph B
Graph C
Graph D