The area of the cross-section of the sphere in square inches in terms of pi will be 169π inch^2.
The area of a two-dimensional shape created when a three-dimensional object, like a cylinder, is cut perpendicular to a predetermined axis at a point is known as the cross-sectional area.
An area is projected onto the plane when a plane slices through a solid object. The axis of symmetry is then perpendicular to that plane. The cross-sectional area refers to its projection.
The cross-section of a sphere is a circle. Hence the area of the cross-section is the area of a circle with a radius of 13, which is given by π*r^2
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The annual cost of Randall coverage is 4900. The college pays 62% of the cost. How much is Devi red from his biweekly paycheck for medical insurance?
$1862 is Devi red from his biweekly paycheck for medical insurance
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The annual cost of Randall coverage is 4900.
The college pays 62% of the cost.
We need to find How much is Devi red from his biweekly paycheck for medical insurance
Let us convert 62% to decimal value by dividing with 100
62/100=0.62
Now multiply 0.62 with 4900
0.62×4900
3038
Now subtract 3038 from 4900
4900-3038
1862
Hence, $1862 is Devi red from his biweekly paycheck for medical insurance
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Alberts double number line worked example find mistake
Albert has made mistake in double number line in step 3 and 4.
The best time to utilize a double number line diagram is when the quantities have various units. The existence of several, maybe indefinitely numerous pairs of numbers in the same ratio, including those with rational number elements, can be illustrated using double number line diagrams. Unit rates (R) appear in the pair, just like in tables (R, 1).
Numerous equivalent ratios can be discovered using a double number line diagram. For instance, "Mix 5 cups of cranberry juice with 2 cups of soda water," is how a recipe for fizzy juice is written. Cranberry juice and soda water are combined in a 5:2 ratio. Equivalent ratios are produced by multiplying each constituents by the same number.
Albert has made mistake in step 3 and step 4,
Firstly he has written wrong units for the respective number line,
If ratio of 2 parts of blue and 5 parts of red is used(2:5)
The equivalent ratio will be 10:25
We get the desired output by multiplying (2:5) by 5.
The Correct units will be 5 instead of 20
And the number corresponding to 25 will be 10.
The correct double number line is drawn below.
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When the equations 3x 5y 9 and 5x 3y 7 are solved then the value of x y 2?
When these equations are solved, the value of x is 4 and the value of y is 3. Therefore, the value of x + y = 7.
To solve the system of equations, we will use the elimination method.
First, we multiply the first equation by 3 and the second equation by 5.
3(3x + 5y = 9)
5(5x + 3y = 7)
Then, we add the equations together:
9x + 15y = 27
25x + 15y = 35
Now, we subtract the second equation from the first to eliminate the x terms:
-16y = -8
y = 0.5
Next, we plug this value for y into one of the original equations and solve for x:
3x + 5(0.5) = 9
3x = 8.5
x = 2.83
Finally, we plug the values of x and y into the original equation to verify that they are correct:
3(2.83) + 5(0.5) = 9
So, the value of x is 2.83 and the value of y is 0.5. Therefore, the value of x + y = 2.83 + 0.5 = 3.33.
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A researcher hypothesizes that the variation in the amount of money spent on business dinners is greater than the amount spent on lunches. The variance of the cost of nine business dinners was and the variance on 12 lunches was . What test value should be used in an F test
What is the equation for the linear relationship in slope intercept form?
Answer:
y=1/2x-3
Step-by-step explanation:
y=mx+b
y=1/2x-3
Solve the following system of equations: −2x + 3y = 7 y = 3x + 7 (−5, −1) (−2, 1) (−1, 4) (1, 3)
Answer:
(-2, 1)
Step-by-step explanation:
−2x + 3y = 7
y = 3x + 7
Since the second equation is already solved for y, we can use the substitution method. Substitute y of the first equation with 3x + 7 and solve for x.
-2x + 3y = 7
-2x + 3(3x + 7) = 7
-2x + 9x + 21 = 7
7x = -14
x = -2
Now substitute x in the second equation with -2 and solve for y.
y = 3x + 7
y = 3(-2) + 7
y = 1
Answer: (-2, 1)
Two children take turns breaking up a rectangular chocolate bar 6 squares wide by 8 squares long. They may break the bar only along the divisions between the squares. If the bar breaks into several pieces, they keep breaking the pieces up until only the individual squares remain. The player who cannot make a break loses the game. Who will win
The player who goes first will win.
This is because the chocolate bar can be broken up into 6*8=48 squares, and the player who goes first can always ensure that the second player is left with one square on their turn (by breaking the bar into two pieces that leave one square for the second player to take). This means that the second player will always be the one who cannot make a break, and thus loses the game.
Therefore, The player who goes first will win.
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Yara is 8 years old. Yara's mother is 4n times older than Yara. How old
was Yara's mother 5 years ago in terms of n?
Yara's mother was 32n-5 years old 5 years ago in terms of n.
Yara's mother is 4n times older than Yara, and Yara is 8 years old, so we can set up the equation:
Mother's age = 4n * 8 years
We are also told that Yara's mother is 5 years older than she is now, so we can add 5 to the equation above:
Mother's age 5 years ago = 4n * 8 years - 5 years
Now we can simplify this equation:
Mother's age 5 years ago = 32n - 5 years
Now we can substitute the value of n to find the mother's age in terms of n.
To find the age of Yara's mother 5 years ago in terms of n, we need to know the value of n. But we don't have the value of n so we can't find the exact age but we can find it in terms of n which is 32n-5 years.
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What is a 100 sided shape called?
Answer:
hectogon or hecatontagon or 100-gon
Step-by-step explanation:
It is a hundred - sided polygon ( shape ). The sum of all hectogon's interior angles are 17640 degrees.
Answer:
Regular exercise has been shown to aid in the prevention and management of noncommunicable illnesses such as diabetes, heart disease, stroke, and a number of malignancies. Additionally, it lowers blood pressure, supports healthy body weight, and enhances well-being through enhancing mental health.
Step-by-step explanation:
The admission fee to the carnival is $4. 50 for children and $7. 25 for adults. If a large group purchased 28 tickets and paid $159 how many adult tickets did they purchase?
The number of adult tickets purchased is 12.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
Let no. of adult = x
No. of children = 28 -x
So, 7. 25 * x + (28 - x) *4. 50 = 159
⇒2.75x +126=159
⇒2.75x =33
⇒x=33/2.75
x=12
Hence, the number of adult tickets purchased is 12.
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Marcus is shopping for pants. The available styles are boot cut (B), skinny (S), and relaxed fit (R). Make an organized list to show all possible outcomes if he buts two new pair of pants.
There are 9 possible outcomes to buy two new pair of pants.
What is combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.
Given:
we have the following Styles
Boot cut (B), Skinny (S), and Relaxed fit (R).
So, if her buys two paints then the possible combination he can take as
Boot cut x Boot cut
Skinny x Skinny
Relaxed fit x Relaxed fit
Boot cut x Skinny
Boot cut x Relaxed fit
Skinny x Relaxed fit
Skinny x Boot cut
Relaxed fit x Boot cut
Relaxed fit x Skinny
Hence, there are 9 possible ways.
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Liz is watching a film at the cinema. The film started at 14 30. The film is 105 minutes long. When the film ends, Liz takes 20 minutes to get to the bus stop. Does Liz get to the bus stop in time to get this bus? You must show all your working
The answer is yes, she does and she still has 10 minutes free.
What is time ?
Time can be defined as the sequence on which particular event exists and time can measured in minutes , seconds, and hours.
Given,
The film started at 14 30. The film is 105 minutes long.
When the film ends, Liz takes 20 minutes to get to the bus stop.
105min=1h 45min
14h 30min + 1h 45min= 16h 15min
16h 15min + 0h 20min=16h 35min
16h 45min - 16h 35min= 10min
Hence, the answer is yes, she does and she still has 10 minutes free.
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Is this a perfect square trinomial X² 6x 9?
x² + 6x + 9, this is a perfect square trinomial, which is expressed as
(x + 3)².
What is trinomial?Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."
An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.
A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.
Given that,
x² + 6x + 9
= (x)² + 2(3x) + 9
= (x)² + 2(x)(3) + 3²
This is similar to a² + 2ab + b² = (a + b)²
so, we can write:
= (x + 3)²
= (x +3) (x + 3)
so, this is a perfect square trinomial.
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please help quickly
The polygons are similar. x = ___ Write your answer as a decimal
By using the fact that the two images are similar, we can write and solve a linear equation to get x = 3/2.
How to find the value of x?We know that the two figures are similar, then, if we take the quotient between the adjacent sides for both figures, these quotients should give the same value.
Thus, we can write the equation:
14/10 = (x + 9)/(x + 6)
Now we can solve that equation for x, if we multiply both sides by (x + 6) we will get:
(14/10)*(x + 6) = x + 9
Now we can multiply both sides by 10 to get:
14*(x + 6) = 10*(x + 9)
14x + 84 = 10x + 90
Now we can solve this linear equation for x.
14x - 10x = 90 - 84
4x = 6
x = 6/4
x = 3/2
That is the value of x.
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Evaluate the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1)
The gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1)
This gradient is a vector that points in the direction of the greatest rate of increase of the function f(x, y, z) = log(x2 + y2 + z2). To evaluate this gradient, the partial derivatives of the function with respect to x, y, and z must be calculated.
The partial derivative of the function with respect to x is (2x / (x2 + y2 + z2)). When x is 1, this simplifies to 2/1. Similarly, the partial derivative with respect to y is 0, and the partial derivative with respect to z is (2z / (x2 + y2 + z2)), which simplifies to 2/1 when z is 1. Therefore, the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1).
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If PQR measures 75°, what is the measure of SQR?
22°
45°
The measure of the angle ∠PQS will be 53°. Then the correct option is C.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
If angle ∠PQR measures 75°. And angle ∠PQS measures 22°.
Angle ∠SQR and angle ∠PQS are the adjacent angles. Then we have
∠PQS + ∠SQR = ∠PQR
∠PQS + 22° = 75°
∠PQS = 53°
The measure of the angle ∠PQS will be 53°. Then the correct option is C.
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Complete question is attached below.
prove that cos x = sin x cot x.
Answer:
can u give me the brainliest
the answer is in the attached documents
The table shows the average speed of
the winner of a car race for different
years. About how many miles did the
winner of the car race in 2015 travel
after 2 hours? Round to the nearest
whole number.
The distance traveled after 2 hours will be 324 miles.
What is Average speed?Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
The table shows the average speed of the winner of a car race for different
years.
year average speed
2005 135.17
2010 137.28
2015 161.94
2020 141.11
In order to find out how many miles the winner of the car race in 2015 traveled after 2 hours, we need to know the average speed at which they were traveling, which is given as 161.94 miles per hour. To find out how far they traveled in 2 hours, we can multiply this speed by the time, measured in hours.
So, if the average speed was 161.94 miles per hour, then the distance traveled in 2 hours is:
161.94 miles/hour × 2 hours = 323.88 miles.
Rounding up to the nearest whole number, the distance traveled after 2 hours is 324 miles.
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The question seems to be incomplete the missing table has been attached below
What unit is equal to Avogadro's number ?
Avogadro's number is a unitless object. It represents a number.
What is unit?
The mass of a particular piece of metal or the length of a particular rod are examples of quantities (specific properties) of objects that have historically been used to define measurement units. An object that has no units is known as unitless.
The proportionality factor that connects the number of constituent particles (often molecules, atoms, or ions) in a sample with the amount of material in that sample is called the Avogadro constant, also known as NA or L. It has a precise value of 6.02214076 × 10²³ reciprocal moles and serves as a SI defining constant.
The value of Avogadro's number is 6.02214076 × 10²³.
One mole of the chemical compound consists of 6.02214076 × 10²³ atoms.
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please convert 16/100 into a decimal
Answer:
0.16 btw thanks for the points
Answer: 0.16
Step-by-step explanation:
put 16 over 100 and divide it. Then you get your answer 0.16.
A falcon was recorded travelling 100 metres in 0. 93 seconds.
What was its average speed
a in m/s to 3 significant figures
The average speed of the falcon to 3 significant figures will be 107.526 m/s
Distance travelled by falcon = 100 meters
Time taken by falcon to travel the distance = 0.93 seconds
As we have the formula for finding the average speed:
Average speed is a pace defined as a quantity divided by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t is used to compute average speed, where S is the average speed, d is total distance, and t is total time.
Average speed can be find by simply dividing the total distance covered by falcon by the total time taken by him to cover the distance.
So, the value of the average speed will be = (100 m/0.93 sec) =107.526 m/s
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find the height of the two pillar with same height
Answer:
ED = AB = 25√3
Step-by-step explanation:
Let ED = AB = X
DC = 100 - BC
Tan 60 = [tex]\frac{\sqrt{3} }{1} = \frac{ED}{DC}[/tex] = [tex]\frac{X}{100-BC}[/tex]
[tex]\sqrt{3} (100-BC) = X[/tex]
Tan 30 = [tex]\frac{1}{\sqrt{3} } = \frac{AB}{BC} = \frac{X}{BC}[/tex]
[tex]\frac{BC}{\sqrt{3} } = X[/tex]
[tex]\sqrt{3} (100-BC) = \frac{BC}{\sqrt{3} } \\3(100-BC) = BC\\300 - 3BC = BC\\300 = BC + 3BC\\300 = 4BC \\75 = BC[/tex]
X = [tex]\frac{BC}{\sqrt{3} } = \frac{75}{\sqrt{3} }\\[/tex]
X = 25√3
What is a 3 sided called?
A triangle is a polygon with 3 sides, and the sum of its interior angles is 180 degrees.
The properties of a triangle are:
A triangle has three sides, three angles, and three vertices.The sum of the length of any two sides of a triangle is greater than the length of the third side.The side opposite the largest angle of a triangle is the largest side.There are several types of triangles, including:
Equilateral triangle: This is a triangle with three sides of equal length and three angles of 60 degrees.
Isosceles triangle: This is a triangle with two sides of equal length and two angles of equal measure.
Scalene triangle: This is a triangle with three sides of different lengths and three angles of different measure.
Right triangle: This is a triangle with one 90-degree angle.
Acute triangle: This is a triangle with three angles that are all less than 90 degrees.
Obtuse triangle: This is a triangle with one angle that is greater than 90 degrees.
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PLEASE HELP ASAP
Which is the following is not an attribute of a right rectangular prism?
1 apex
12 edges
rectangular faces
square bases
Square bases is not an attribute of a right rectangular prism. Option D
What is a right rectangular prism?A right rectangular prism can be described as a three-dimensional solid shape with 6 faces, 12 edges, and 8 vertices.
It is sometimes called a cuboid.
All the faces of the right rectangular prism are rectangular in shape.
Examples of right rectangular prisms are books, bricks and aquarium.
Some properties of a right rectangular prism include;
There are 12 edges There are 8 verticesAll the faces are rectanglesAll the angles formed at the vertices are of 90 degreesThese prisms have no square base(s)
Hence, the right option is square bases.
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Question 3 of 10
If f(x) = 7x-6, which of the following is the inverse of f(x)?
O A. f-1(x) = x76
f−¹(x) = x=7
X-7
6
B.
O C. f-1(x) = x+7
D. f¹(x) = x+6
7
SUBMIT
Therefore, the solution of the given problem of function comes out to be [tex]f^{-1}[/tex] = x+ 6 /7.
Describe function.Mathematics includes the study of numbers, equations and associated structures, forms and the environments in which they occur, quantities and their changes, and spatial relationships. A function is an association between such a set of inputs, each of which has an output. Simply described, a function is an association between the inputs and outputs in which each input results in a single, distinct result. Each operation has a domain and a scope, which are also referred to as codomains.
Here ,
In our case, f(x) = y = 7x-6.
The following procedures must be taken in order to determine the inverse function of the given function:
First, x and y must be switched, thus
x= 7y-6
We must add 6 to both sides in order to solve for y in the following step.
x+6=7y
7 divided by both sides, that is
y = x+ 6 /7
Therefore, the solution of the given problem of function comes out to be
[tex]f^{-1}[/tex] = x+ 6 /7.
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b. How should Kiran change the quantities that he used
so that his smoothie tastes
just like Clare's?
Answer:
Kiran's smoothie would be more chocolatey than Clare's. All ingredients are doubled, but there is an extra teaspoon of chocolate syrup in his smoothie.
Step-by-step explanation:
(aryan)
On her first day of work, Janabel sold one widget. On day two, she sold three widgets. On day three, she sold five widgets, and on each succeeding day, she sold two more widgets than she had sold on the previous day. How many widgets in total had Janabel sold after working 2020 days
On solving the provided question, we can say that the sequence what we tell on day 3 = he sold 5; on day 4 = he sold 7; on day 5 = he sold 9
what is a sequence?A collection of numbers, or "terms," is referred to as a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence. There are formulas that demonstrate where to look for words within a sequence. A collection of objects that are in some order is known as a sequence in mathematics (or events). It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.
here,
on day 1 = he sold 1
on day 2 = he sold 3
on day 3 = he sold 5
on day 4 = he sold 7
on day 5 = he sold 9
.
.
.
.
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Need some help with these trigonometry questions
Answer: 11, 23, 166
Step-by-step explanation:
Hiya! From the drawings, I'm assuming all of the triangles are right-angled triangles. If they aren't though, tell me and I'll tell you how to solve them.
Anyways, assuming they are right angled-triangles, you can use Pythagoras' Theorem (aka a² + b² = c²)
c is the hypotenuse or the side opposite the right angle.
a and b are just the other two sides (doesn't really matter which is which)
Question 7:
c² = a² + b²
12² = a² + 5²
144 = a² + 25
144 - 25 = a²
119 = a²
a = 10.908712114635714411502154487373
(To the nearest whole number: 11)
Question 8:
c² = a² + b²
24² = 7² + b²
576 = 49 + b²
576 - 49 = b²
527 = b²
b = 22.956480566497992703585747092065
(To the nearest whole number: 23)
Question 9:
c² = a² + b²
c² = 90² + 140²
c² = 8,100 + 19,600
c² = 27,700
c = 166.43316977093238068928214785346
(To the nearest whole number: 166)
Hoped this helped! Tell me if there's something you don't understand. :)
im 12 and struggling help me please i need my grades up
Answer:
you would multiply 17% by 228,000
Step-by-step explanation:
you would get 177840
Find the inverse of y = √x + 8, y ≥ 8
To find the inverse of a function, you can follow these steps:
Swap the variables x and y in the original function. For example, if the original function is y = √x + 8, you would swap the variables to get x = √y + 8.
Solve the equation for y. In this case, you would get:
x = √y + 8
y = x - 8
Replace y with f^-1(x) to denote the inverse function. The inverse function is defined as f^-1(x) = y, so you would get:
f^-1(x) = x - 8
This is the inverse function of y = √x + 8.
Note that the inverse function is only defined for values of x such that y ≥ 8. This is because the original function y = √x + 8 is only defined for y ≥ 8.