Answer:
Circumference = 56.52 cmStep-by-step explanation:
It's given that, Radius of the circle is 9 cm.
We know that Circumference of the circle is calculated as 2πr
where,
π = 3.14Substituting the required values,
Circumference = 2 × 3.14 × 9
= 6.28 × 9
= 56.52 cm
Hence the required circumference of the circle is 56.52 cm
Gina rented a truck for one day there was a base fee of 12.75 there was an additional charge of 20 cents for each mile driven total cost c (in dollars) for driving x miles is given by the following function
C(x)=0.20x+12.65
What is the total rental cost if jina drove 50 miles?
Answer:
$22.75Step-by-step explanation:
The function is:
C(x) = 0.20x + 12.75Find C(50) for 50 miles:
C(50) = 0.20*50 + 12.75C(50) = 22.75Given function:-
C(x)=0.20x+12.65
We have to find value at 50
\(\\ \sf\longmapsto C(50)\)
\(\\ \sf\longmapsto 0.20(50)+12.65\)
\(\\ \sf\longmapsto 10+12.65\)
\(\\ \sf\longmapsto 22.65\)
Mason went shopping for a new phone. Sales tax where he lives is 10%. What number
should he multiply the price of the phone by to find the total plus tax in one step?
Answer:
0.01
Step-by-step explanation:
because the tax is 10%, you multiply by 0.01 to find the total.
At what rate will a snail travel if it moves 30 cm in 5 seconds
Answer:
6cm per second
Step-by-step explanation:
30 divided by 5 is 6
Answer:
hourly ot minute
Step-by-step explanation:
rrrrrrrrrffttt
If a quadrilateral is a rhombus, the it’s diagonals_______ Opposite angles
If a quadrilateral is a rhombus, then it’s diagonals bisect the opposite angles
What is a rhombus?A rhombus is a quadrilateral that has 4 sides equal to each other. The sum
of angles in a rhombus is 360 degrees.
A rhombus has opposite angles congruent to each other. The opposite
sides are equal and parallel. .
The diagonals bisect each other at 90 degrees. Adjacent angles add up to 180 degrees
Therefore, the diagonals of the square are perpendicular to each other and bisect the opposite angles.
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is 4/4 greater,equal,less than, 123
Answer: Less than. 4/4 equals 1
Step-by-step explanation:
\(\dfrac{4}{4} =1\) (any number divided by the same number will always equal 1)
\(1 < 123\)
Therefore, 4/4 will be less than 123.
Please help me! Is the ordered pair, in the form (x, y) x , y , a solution of the equation below?
Ordered Pair: (−1, −12)
Linear Equation: 4x − y = 8
options:
True
False
The value of y is directly proportional to the value of x.
If y = 12 when x = 15, what is the value of x when y = 40?
A.
12
B. 32
C.43
D.
50
Answer:
D
Step-by-step explanation:
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 12 when x = 15
12 = 15k ( divide both sides by 15 )
0.8 = k
y = 0.8x ← equation of proportion
When y = 40 , then
40 = 0.8x ( divide both sides by 0.8 )
50 = x → D
Can I get 10 comments in 10 minutes
Answer: Welp, here it is.
Step-by-step explanation:
I clicked the keyboard :)
hhhhhhhhhhhhhhhhhhhhhhhhh
If f(x)= x+2
g(x)=x+1
find gof(x)
Answer:
gof(x) = 3
Step-by-step explanation:
Given that,
f(x) = x+2 and g(x) = x+1
We need to find gof(x).
gof(x) means g[f(x)].
g[f(x)] = g(x +2)
= x+2+1
= x+3
Hence, the value of gof(x) is 3.
Shape S below is exactly one quarter of a solid sphere, centre O.
The volume of shape S is 19447 cm
O
Find the surface area of S.
Give your answer correct to 3 significant figures.
You must show your working.
+
Shapes
Volume of sphere =
1 / 놓자
Surface area of sphere = 4ter?
Total marks: 5
Answer:
2,040 cm²
Step-by-step explanation:
Given:
Volume of quarter sphere = 1,944π cm³
Required:
Surface area
Solution:
✔️First, find the radius (r).
Volume of the quarter sphere = ¼(⁴/3πr³)
Thus:
1944π = ¼(⁴/3×π×r³)
1944π = ⅓×π×r³
Multiply both sides by 3
1944π×3 = 1×π×r³
5,832π = πr³
Divide both sides by π
5,832π/π = r³
5,832 = r³
Find the cube root of both sides
r = 18
Radius = 18 cm
✔️Find the surface area of the quarter sphere
Surface area of quarter sphere = ¼ of 4πr² + 2(½ of πr²)
Radius (r) = 18 cm
Plug in the values
Surface area of quarter sphere = ¼×4×π×18² + 2(½×π×18²)
= π×18² + π×18²
= 2,035.75204 ≈ 2,040 cm² (to 3 SF)
PLS DO NUMBER 1 WILL MARK BRAINLIEST AND ADD 100 MORE PIOINTS HURRY PLEASE! THANK YOU
The line y = mx + 4 has a slope of 2 and it is y = 2x + 4.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
We know lines parallel to each other have the same slope.
We also know, slope(m) = (y₂ - y₁)/(x₂ - x₁).
Slope(m) = (6 + 2)/(5 - 1).
slope(m) = 8/4.
slope(m) = 2.
So, The line y = mx + 4 is, y = 2x + 4.
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how many feet are in 300.0 inches? type in your numerical answer only, do not include units. do not use scientific notation.
There are 25 feet in 300.0 inches.
What is conversion?Conversion is a numerical quantity that enables you to convert one unit to another. There are various units for measurements such as length, weight, mass, and so on.
The conversion factor between inches and feet is important to understand when performing this type of calculation. As I mentioned earlier, there are 12 inches in one foot, which can be expressed as:
1 foot = 12 inches
This means that to convert a measurement in inches to feet, we need to divide the number of inches by 12.
300.0/12 = 25
Therefore, 300.0 inches is equivalent to 25 feet.
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Tell how much each person gets when they share equally.
6 people share 12 muffins.
Answer: 2
If there are 6 people, and there are 12 muffins, then we simply divide 12 by 6. This gives us 2. Which means that each person can get 2 muffins.
Step-by-step explanation:
Hope this helps =)
Solve the application question. Follow the prompts to define the variables and write the
system of linear equations.
Simone bought a total of 22 used books and vinyl records during a yard sale for a total of $78.50. If books cost $3.00 each and the vinyl records cost $5.50 each, how many of each did she buy?
Define the variables.
x=
y=
linear system
(should be 2 for both x and y)
Solve the system. Show all work.
how many did she buy?
Simone buy 5 books and 17 vinyl records.
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.
Given that;
Simone bought a total of 22 used books and vinyl records during a yard sale for a total of $78.50.
And, Books cost $3.00 each and the vinyl records cost $5.50 each.
Let number of books = x
And, Number of vinyl records = y
Hence, We cam formulate;
⇒ x + y = 22 .. (i)
⇒ 3x + 5.50y = 78.50 .. (ii)
Substitute the value of x from (i) in (ii), we get;
⇒ 3x + 5.50y = 78.50
⇒ 3(y - 22) + 5.50y = 78.50
⇒ 3y - 66 + 5.50y = 78.50
⇒ 8.50y = 78.50 + 66
⇒ 8.50y = 144.5
⇒ y = 17
From (i);
⇒ x + y = 22
⇒ x + 17 = 22
⇒ x = 5
Thus, Simone buy 5 books and 17 vinyl records.
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help please this is confusing me i only need number 7
Answer:
24.98 units
Step-by-step explanation:
You want the perimeter of triangle ABC with vertices A(-5, 4), B(1, -2), and C(3,6).
Distance formulaThe distance between two vertices can be found using the formula ...
d = √((x2 -x1)² +(y2 -y1)²)
ApplicationThe distance between A and B is ...
d = √((1 -(-5))² +(-2 -4)²) = √(6² +(-6)²) = 6√2 ≈ 8.485
The attached spreadsheet performs the same calculation on all the pairs of points. (The distance from each point to the one below it is listed.)
PerimeterThe perimeter of the triangle is the sum of the segment lengths. That is also shown in the spreadsheet.
P = AB +BC +CA
P = 8.485 +8.246 +8.246 ≈ 24.98
The perimeter of triangle ABC is about 24.98 units.
__
Additional comment
When calculations are repetitive, we like to let a spreadsheet do them.
Please give surface area and volume of trapezoidal prism
The volume of the trapezoidal prism is V = 120 inches³
Given data ,
Let the volume of the trapezoidal prism is V
Now , height = 3 inches
Length = 10 inches
Length of longer base = 6 inches
Length of shorter base = 2 inches
So , Volume V = ((short base length + long base length) / 2) × height × length
V = 120 inches³
Hence , the volume of prism is V = 120 inches³
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If the length breadth and height of 3x+y cm 2x+2y cm and 3y cm respectively and find its volume
Answer: The length, breadth, and height of the rectangular prism are:
Length = 3x + y cm
Breadth = 2x + 2y cm
Height = 3y cm
The volume of the rectangular prism is given by the formula:
Volume = Length x Breadth x Height
Substituting the values, we get:
Volume = (3x + y) x (2x + 2y) x (3y)
Simplifying the expression, we get:
Volume = 18x^2 y + 15xy^2 + 6x^2 y^2 + 6y^3
Therefore, the volume of the rectangular prism is 18x^2 y + 15xy^2 + 6x^2 y^2 + 6y^3 cubic cm.
Step-by-step explanation:
Could please answer this fast like rn please
Answer:
1.90√2+20√3
2.30−12√6
3. -30
Step-by-step explanation:
The profit a company made descreased 20% to 66 million from one year to the next. What was the profit the year before?
Answer:
79.2Million?
Step-by-step explanation:
hope this helps
3 feet, 5 feets, 6 feets What is the area, in square feet, of the front side of the sign?
The area of triangle is 7.4833 ft².
What is Heron's Formula?Heron's formula used to calculate the areas of various triangles, including quadrilaterals and the equilateral, isosceles, and scalene triangles.
The Heron's Formula states that the area of a triangle is equal to √s(s-a)(s-b)(s-c), where s is the triangle's semi-perimeter and a, b, and c are its three side lengths.
s= (a+ b+ c)/2
Given:
sides: 3 feet, 5 feet and 6 feet.
semi- perimeter, s= 3+5+6/2 = 7
Now, Using Heron's Formula
= √s(s-a)(s-b)(s-c)
=√7(7-3)(7-5)(7-6)
=√7 x 4 x 2 x 1
=√56
= 7.4833 ft²
Hence, the area of triangle is 7.4833 ft².
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on average the chance that it will rain each day in portland, oregon is 36% in the winter. what is the probablitiy of it raining 5 days out of the week
The probability of it raining 5 days out of the week, given an average chance of rain of 36% each day, is approximately 0.036 or 3.6%.
To find the probability of it raining 5 days out of the week when the chance of rain each day is 36%, we can use the binomial probability formula.
The binomial probability formula is given by:
P(X = k) = (nCk) * p^k * (1-p)^(n-k)
Where:
P(X = k) is the probability of getting exactly k successes
n is the number of trials
k is the number of desired successes
p is the probability of success in a single trial
(1-p) is the probability of failure in a single trial
In this case, we have:
n = 5 (number of days in the week)
k = 5 (desired number of rainy days)
p = 0.36 (probability of rain each day)
Using the formula, we can calculate the probability:
P(X = 5) = (5C5) * (0.36)^5 * (1-0.36)^(5-5)
Simplifying the equation:
P(X = 5) = 1 * 0.36^5 * 0.64^0
P(X = 5) ≈ 0.036
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HELP! And please show the process of solving it
Hydraulic fracturing is a process used by gas companies to rupture and collects pockets of gas trapped within pockets of shale rock. A particular shale fracking site is 1/6 miles in length and occupies an area of 5/8^2 miles. How wide is this particular site?
Answer as an improper fraction = 30/8 miles
Answer as a mixed number = 3 & 3/4 miles
Answer in decimal form = 3.75 miles
============================================================
How to get that answer:
Let's start with what we're given
length = 1/6 mileswidth = w, some unknown positive numberarea = 5/8 square milesAssuming this site is a rectangle, then we can say:
area = length*width
5/8 = (1/6)*w
(5/8)*(6/1) = w
(5*6)/(8*1) = w
30/8 = w
w = 30/8
The answer as an improper fraction is 30/8 miles.
If you want to convert that to a mixed number, then,
30/8 = (24+6)/8
30/8 = 24/8 + 6/8
30/8 = 3 + 3/4
30/8 = 3 & 3/4
The answer as a mixed number is 3 & 3/4 miles
Meaning the width is a full 3 miles wide, plus an additional 3/4 of a mile as well.
In decimal form, the answer is 3.75 miles
let z be a standard normal variable. find the value of z if z satisfies p(z < z) = 0.9525.a. 1.60b. -1.67c. -2.00d. -1.60e. 1.67f. None of the above
The question is asking for the value of z that satisfies the probability that a standard normal variable z is less than z to be 0.9525. In other words, we want to find the z-score that corresponds to the 95.25th percentile of the standard normal distribution. Option (b) is the closest to the correct answer (-1.67). However, this could be due to rounding errors or differences in the table used. Therefore, the correct answer is (f) None of the above.
To solve this problem, we can use a standard normal distribution table or a calculator with a normal distribution function. Using a standard normal distribution table, we can look up the closest value to 0.9525 in the body of the table, which is 0.9515. The corresponding z-score is 1.65.
However, since the table only gives us values for the area to the left of a positive z-score, we need to subtract 1.65 from 0 (the mean of the standard normal distribution) to get the z-score that corresponds to the 95.25th percentile on the left tail. Therefore, the answer is -1.65. So none of above is correct.
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Alex painted 178 ft2 of his apartment’s walls with 13 1 3 gallon of paint. He has 2 gallons of paint in all. If he wants to cover 1,000 ft2 of his apartment, does he have enough paint? Complete a true statement
From multiplcation operation, Alex has enough paint to cover 1,000 ft² of his apartment. The true statement is 2 gallons of paint will cover 1068 ft², Alex have enough paint of quantity 2 gallons.
We have Mr. Alex painted his apartment. Area of his apartment'walls = 178 ft²
Quantity of paint used by him to paint his apartment'walls with area 178 ft² =\( \frac{1}{3} \: \: gallons\)
Total quantity of paint used in all
= 2 gallons
We have to check the provide paint is enough or not to cover 1,000 ft² of his apartment. Let the required paint for 1000 ft² be x gallons. Using multiplcation, 1/3 gallons quantity of paint will cover the area of apartment = 178 ft², so, 1 gallons quantity of paint will cover the area of apartment = 178 ×3 ft²= 534 ft²
Now, 2 gallons quantity of paint will cover the area of apartment = 2× 534 ft² = 1068 ft²> 1000 ft²
But he wants to paint 1000 ft² of his apartment in 2 gallons quantity (x=1.9 gal ). So, he has enough paint to paint his apartment.
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Complete question:
The above figure complete the question.
Alex painted 178 ft2 of his apartment’s walls with 1/3 gallon of paint. He has 2 gallons of paint in all. If he wants to cover 1,000 ft2 of his apartment, does he have enough paint? Complete a true statement
point $o$ is the center of an ellipse with major axis $\overline{ab}$ and minor axis $\overline{cd}.$ point $f$ is one focus of the ellipse. if $of
Given that $OF = 9$ and $OF' = 12,$ where $F$ and $F'$ are the foci of the ellipse, we can determine the lengths of the major and minor axes.
In an ellipse, the sum of the distances from any point on the ellipse to the two foci is constant. This property is expressed by the equation:
$$PF + PF' = 2a,$$
where $P$ is any point on the ellipse and $a$ is the semi-major axis. In our case, $P = O,$ and since $OF = 9$ and $OF' = 12,$ we have:
$$9 + 12 = 2a,$$
$$21 = 2a.$$
Therefore, the semi-major axis $a$ is equal to $\frac{21}{2} = 10.5.$
The distance between the center of the ellipse and each focus is given by $c,$ where $c$ is related to $a$ and the semi-minor axis $b$ by the equation:
$$c = \sqrt{a^2 - b^2}.$$
We can solve for $b$ using the distance to one focus:
$$c = \sqrt{a^2 - b^2},$$
$$c^2 = a^2 - b^2,$$
$$b^2 = a^2 - c^2,$$
$$b = \sqrt{a^2 - c^2}.$$
Substituting the known values:
$$b = \sqrt{10.5^2 - 9^2},$$
$$b = \sqrt{110.25 - 81},$$
$$b = \sqrt{29.25},$$
$$b \approx 5.408.$$
Therefore, the semi-minor axis $b$ is approximately $5.408.$
Finally, we can determine the lengths of the major and minor axes:
The major axis $\overline{AB}$ is twice the semi-major axis, so $\overline{AB} = 2a = 2(10.5) = 21.$
The minor axis $\overline{CD}$ is twice the semi-minor axis, so $\overline{CD} = 2b = 2(5.408) \approx 10.816.$
Therefore, the major axis $\overline{AB}$ is $21$ units long, and the minor axis $\overline{CD}$ is approximately $10.816$ units long.
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(help)Name the intersection of the two planes in the image below.
Answer:
XZ
Step-by-step explanation:
The intersection of the 2 planes is along the line XZ
The intersection of the two planes in the image below is along the line XZ.
What is a plane coordinate system?The intersection of the x-axis, the horizontal line, and the y-axis, the vertical line, creates a coordinate plane, which is a two-dimensional plane. The origin is the point at which these parallel lines cross one another.
A coordinate plane is a framework for graphing and describing lines and points. The coordinate plane is made up of a vertical (y) axis and a horizontal (x) axis.
In the given image there are two planes one is horizontal and the second is vertical they are intersecting at line XZ. The intersection of the 2 planes is along the line XZ.
Therefore, the intersection of the two planes in the image below is along the line XZ.
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Helppppppppppp asapppppppppppp
Answer:
Step-by-step explanation:
First, you have to use the law of cosines which is c² = a² + b² - 2abcosФ where Ф is the angle measure between sides a and b. So, just plug-in a = 10, b = 12, and Ф = 72 into the equation and you will get (I won't show all the calculations):
c = 13.0321
Then plug that into the area formula to get:
(0.5)(10)(12)(0.225496911)
Which is about:
13.53
Find the value of x to the nearest tenth. Please show your work
Simplify 36y/6+y+2*4y
Answer:
Divide the numbers 36/6 = 6
= 6y + y + 2 * 4y
Multiply the numbers 2 * 4
= 6y + y + 8y
Add like terms
= 15y
(I know it's a bit late, but I hope this still helps.)
what is the mean of 40 100 25 90 85 95
Mean is also known as an average value amoung a set of data points, results, and tests.
Mathematically, mean ( average ) is defined as a weighted sum of data points. This can be expressed in a symbolic form as follows:
\(\text{Mean = }\sum ^N_{n\mathop=1}(\frac{x_n}{N})\)Where,
\(\begin{gathered} x_n\colon\text{ The set of data points and type of data} \\ N\colon\text{ The total number of data-points} \end{gathered}\)We are given with the following set of data points:
\(x_1=40,x_2=100,x_3=25,x_4=90,x_5=85,x_6\text{ = 95}\)And we have a total of:
\(N\text{ = 6 data points }\)We will go ahead and plug in the respective values given into the formula for determining the mean value as follows:
\(\text{Mean = }\frac{x_{1\text{ }}+x_2+x_3+x_4+x_5+x_6}{N}\)Plug in the respective data points as follows:
\(\text{Mean = }\frac{40\text{ + 100 + 25 + 90 + 85 + 95}}{6}\)Evaluate as follows:
\(\begin{gathered} \text{Mean = }\frac{435}{6} \\ \text{\textcolor{#FF7968}{Mean = }}\textcolor{#FF7968}{72.5} \end{gathered}\)The mean ( average ) value for the given set of data points is:
\(\textcolor{#FF7968}{72.5}\)