A cone has a height of 7 inches and a radius of 3 inches. What is the volume of the cone in cubic inches rounded to the nearest whole number?
Answer:
66
Step-by-step explanation:
volume of a cone= pi×r^2×h/3
so 3x3=9
9×3.14=28.26
7/3= approximately 2.33
28.26×2.33=65.8458
68.8458=66
hope this helps
Use the relationships between the angles to find the value of x (2x+16) (6x-20)
Answer:
x = 9
Step-by-step explanation:
You want to use the fact that the marked angles are congruent to find the value of x. The angles are marked (6x -20)° and (2x +16)°.
Congruent anglesThe marked angles are alternate exterior angles at a transversal crossing parallel lines, so they are congruent.
(6x -20)° = (2x +16)°
4x = 36 . . . . . . . . . divide by °, add 20-2x
x = 9 . . . . . . . . . divide by 9
The value of x is 9.
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Write the equation of the line with a slope of -5/4 and a y-intercept of 2.
a) y=1/4x+2
b) y=2x-5/4
c) y=-1/4x+2
d) y=-5/4x+2
Answer:
D, y=-5/4x+2
Step-by-step explanation:
the slope always comes before "x", and the y-intercept comes last when written in slope intercept. So y=-5/4x+2 is correct.
please hurry and if you answer please explain how you get that answer and if your right i will give brainiest please and thank you.
Answer:
answer what?
Step-by-step explanation:
a simple pendulum with a length of 1.53 m and a mass of 6.84 kg is given an initial speed of 1.06 m/s at its equilibrium position
When a simple pendulum with a length of 1.53 m and a mass of 6.84 kg is given an initial speed of 1.06 m/s at its equilibrium position, the length and mass of the pendulum will affect its subsequent motion.
The period of a simple pendulum is proportional to the square root of its length, which means that the longer the pendulum, the slower it will swing. The mass of the pendulum also affects its period, but to a lesser extent. Therefore, the pendulum will continue to swing back and forth at a constant frequency, determined by its length and the acceleration due to gravity..
In terms of the amplitude and energy of the pendulum's motion, its initial speed will determine the maximum height it reaches on each swing, which will decrease over time due to frictional losses. The mass of the pendulum will also affect its energy, as a heavier pendulum will require more energy to set in motion and will lose energy more slowly over time.
In conclusion, the length and mass of a simple pendulum will influence its period, amplitude, and energy when given an initial speed. Understanding these relationships can help predict and explain the behavior of simple pendulums in various contexts.
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hey guys.How are u all
Answer:
We are Fine .........do u wanna chat with me
i need help with this
\(m = \frac{y2 - y1}{x2 - x1} = \frac{ - 3 - ( - 3)}{18 - 3} = \frac{0}{15} = 0 \)
When finding a critical T value for 95% confidence and a sample size of 30, how many degrees of freedom are there?
Answer:
29
Step-by-step explanation:
The formula for calculating degrees of freedom in a t-test is n-1 where n is the sample size. Therefore, there are 30-1=29 degrees of freedom if the sample size is n=30.
A cylinder has a base radius of3 and a hight of 20m what is its volume in cubic m,to the nearest tenths
Answer:
hi
Step-by-step explanation:
Answer:
V = 565.5
Step-by-step explanation:
Cylinder Formulas in terms of r and h
Calculate the volume of a cylinder: V = πr2h Calculate the lateral surface area of a cylinder (just the curved outside): L = 2πrh Calculate the top and bottom surface area of a cylinder (2 circles): T = B = πr2 Total surface area of a closed cylinder is: A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)Function h is a transformation of the parent exponential function. Which statement is true about this function?
As x approaches positive infinity, approaches 0.
As x approaches negative infinity, approaches positive infinity.
As x approaches positive infinity, approaches positive infinity.
As x approaches negative infinity, approaches negative infinity.
The statement that is true about this function is C. As x approaches positive infinity, h(t) approaches positive infinity
Calculations and Parameters
Given that we have:
The domainThe rangeThe functionTherefore, when x approaches to negative infinity,
\(\lim_{x \to \infty} h(x)\)
= 2^(-∞-5)
= 2^(-∞)
= 1/2^∞
=0
Also, as x approaches negative infinity, function h(x) approaches 0.
Then when x approaches to positive infinity,
\(\lim_{x \to \infty} h(x)\)
2^(∞-5)
= 2^(∞)
= ∞
Therefore, As x approaches positive Infinity, h(x) approaches positive infinity.
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yea im very slow so i need the answer pleaseeee!!
Answer:
I am thinking that the answer is B.
Step-by-step explanation:
The Pie Problem!
Question: The Morgans had pumpkin pie for their Thanksgiving dessert.
The mom ate 1/4 of the pie. The dad ate 2/3 of what was remaining after the mom ate
her portion. The daughter ate 1/2 of what was remaining after the dad ate his portion
How much of the ple is left after the daughter ate her portion?
Answer:
1/12
Step-by-step explanation:
find the least common multiple of the denominators.
which is 12
so 1/4=3/12
2/3=8/12
1/2=6/12
so 3/12- 8/12 - 6/12 = -11/12
so there is 1/12th pieces left after they all ate their portions of the pie
Which expression represents the same solution as (4) (negative 3 and startfraction 1 over 8 endfraction?
The expression that represents the same solution as (4) (-3 and 1/8) is -3.125. To understand why this is the case, let's break down the given expression: (4) (-3 and 1/8)
The first part, (4), indicates that we need to multiply. The second part, -3 and 1/8, is a mixed number. To convert the mixed number into a decimal, we first need to convert the fraction 1/8 into a decimal. To do this, we divide 1 by 8: 1 ÷ 8 = 0.125
Next, we add the whole number part, -3, to the decimal part, 0.125: -3 + 0.125 = -2.875 Therefore, the expression (4) (-3 and 1/8) is equal to -2.875. However, since you mentioned that the answer should be clear and concise, we can round -2.875 to two decimal places, which gives us -3.13. Therefore, the expression (4) (-3 and 1/8) is equivalent to -3.13.
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The cost to join the Ski Club is $270. You pay a deposit of $95.50 and plan to save an additional $20 per week to pay for the cost. What equation will you use to find the number of weeks x you will need to save?
Answer:
a) The equation will you use to find the number of weeks x you will need to save is:
270 = 95.50 + 20x
b) The number of weeks x = 8.725 weeks
Step-by-step explanation:
Let:
The cost to join the Ski club = y
The number of weeks you will need to save = x
From the question, we have the following information:
The cost to join the Ski Club is $270. You pay a deposit of $95.50 and plan to save an additional $20 per week to pay for the cost.
The equation will you use to find the number of weeks x you will need to save is:
y = $95.50 + $20 × x
y = $270
Hence:
270 = 95.50 + 20x
Solving for x
270 = 95.50 + 20x
270 - 95.50 = 20x
174.5 = 20x
x = 174.5/20
x = 8.725 weeks
Hence, the number of weeks needed to save is 8.725 weeks
Answer:Answer:
a) The equation will you use to find the number of weeks x you will need to save is:
270 = 95.50 + 20x
b) The number of weeks x = 8.725 weeks
Step-by-step explanation:
Let:
The cost to join the Ski club = y
The number of weeks you will need to save = x
From the question, we have the following information:
The cost to join the Ski Club is $270. You pay a deposit of $95.50 and plan to save an additional $20 per week to pay for the cost.
The equation will you use to find the number of weeks x you will need to save is:
y = $95.50 + $20 × x
y = $270
Hence:
270 = 95.50 + 20x
Solving for x
270 = 95.50 + 20x
270 - 95.50 = 20x
174.5 = 20x
x = 174.5/20
x = 8.725 weeks
Hence, the number of weeks needed to save is 8.725 weeks
Step-by-step explanation:
Which is the graph of y – 3 = (-2/3)(x + 6)?
Answer:
The points are on (-1.5,0) and (0,-1)
Step-by-step explanation:
Hope this helps!
Brain-List?
Which sequence of transformation takes triangle A to its image triangle B?
Whoever answers this question will be the brainliest!!!
Graph each quadratic function. State the domain and range. Also include a chart.
We can construct a chart, a table for the values of the given function as follows:
1. We need to have the function g(x) = -4x^2.
2. We can obtain the values for the function for the values:
x = -4, x = -2, x = 0, x = 2, x = 4.
3. We need to evaluate the function for each of these values.
4. Finally, we can have a table of the values of x and y.
Having this information into account, we can proceed as follows:
1. x = -4
\(f(-4)=-4(-4)^2=-4\cdot(16)=-64\Rightarrow f(-4)=-64\)2. x = -2
\(f(-2)=-4(-2)^2=-4(4)\Rightarrow f(-2)=-16\)3. x = 0
\(f(0)=-4(0)^2=-4\cdot0\Rightarrow f(0)=0\)4. x = 2
\(f(2)=-4(2)^2=-4\cdot4\Rightarrow f(2)=-16\)5. x = 4
\(f(4)=-4(4)^2=-4\cdot16\Rightarrow f(4)=-64\)Then, having these values, we can construct the values for the function using these values:
We can draw part of this function using these values. We have to remember that, in functions, we can say that y = f(x).
We can also say that the domain of the function is, in interval notation:
\((-\infty,\infty)\)And the range, as we can see from the values, is as follows (using interval notation):
\((-\infty,0\rbrack\)This is because the values for y (or f(x)) are less or equal to zero.
In summary, we can have a table to construct a graph using the values for the independent variable and plug these values in the function to obtain the values for y.
We need to remember that y = f(x). Additionally, this function has a domain from -infinity to infinity (all the values in the Real set), and a range for values from -infinity to 0 (including zero).
A graph for this function is as follows:
GUYS I NEED HELP ASAP I"LL MARK BRAINLYIST TO first answer. i need to know wht is the value of y in the last unlabelled worksheet pls pls pls help
Answer:
don't know this answer closely relates to
Answer:
90 + 30+60=180
3y=60
y=60/3
y=20
What is the domain and range of X² y² 9?
The domain and range of x² + y² = 9 are:
Domain: [−3, 3],{x| −3 ≤ x ≤ 3}
Range: [−3,3],{y| −3 ≤ y ≤3}
What are the domain and range?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
We have,
x² + y² = 9
Subtract x² from both sides of the equation.
y² = 9 − x²
Take the square root of both sides of the equation
y² = ±√9 − x²
Simplify ±√9 − x²
y = ±√(3+x) (3-x)
The complete solution is the result of both the positive and negative portions of the solution.
y = √(3+x) (3-x)
y = -√(3+x) (3-x)
(3+x) (3-x) ≥ 0
for x.
−3 ≤ x ≤ 3
The domain is all values of x that make the expression defined.
Interval Notation: [−3, 3]
The range is the set of all valid y values. Use the graph to find the range.
Interval Notation: [−3, 3]
Hence, the domain and range of x² + y² = 9 are:
Domain: [−3, 3],{x| −3 ≤ x ≤ 3}
Range: [−3,3],{y| −3 ≤ y ≤3}
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(Geometry Module 4 DBA review)
When a figure is dilated from the origin, each ordered pair of the image, maybe found according to the rule (x,y)->(kx, ky)
Yes, that's correct. When a figure is dilated from the origin, each ordered pair of the figure is transformed according to the rule
What is dilation in maths ?
A dilation is a function f from a metric space M into itself that fulfils the identity d=rd for all locations x, y in M, where d is the distance between x and y and r is some positive real number.
Yes, that's correct!
When a figure is dilated from the origin, each ordered pair of the figure is transformed according to the rule (x, y) → (kx, ky), where k is the scale factor. The scale factor determines the size of the dilation; if k > 1, the dilation increases the size of the figure, while if 0 < k < 1, the dilation decreases the size of the figure. If k = 1, the figure remains unchanged.
It's important to note that dilations preserve the orientation of the figure and can be thought of as a non-uniform scaling of the figure.
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Find the value of the expression below when a = 9 , b = - 2 and c = - 7 . (c - a)/b - |b + c|
Answer:
-1
Step-by-step explanation:
lf had his hourly salary increase from $9.25 per hour to $10.75 per hour, what's the percent increase in Jordan's salary
Answer:
16.22%
Explanation:
The percent of increase can be calculated as:
\(\frac{v_f-v_i}{v_i}\times100\)Where vf is the final value and vi is the initial value. So, replacing vf by 10.75 and vi by 9.25, we get:
\(\frac{10.75-9.25}{9.25}\times100=\frac{1.5}{9.25}\times100=16.22\text{ \%}\)Therefore, the percent of the increase is 16.22%
The product of a number and 9, increased by 4, is 58. Find the number.
divide 58 by 9 ( 58 ÷ 9 = 6 )
x = 6now let's find the number ,
x × ( 9 + 4 ) = 58since x = 6 ,
6 × ( 9 + 4 ) = 58thus the number is 58
In a running club there are 60 females and 70 males.
If a female is chosen at random, the probability she has blue eyes is 0.41
If a male is chosen at random, the probability he has blue eyes is 0.7
One person is chosen at random.
What is the probability that the person has blue eyes?
Give your answer as a decimal correct to 2 decimal places.
The probability that one person chosen has blue eyes is 0.57.
The given parameters:
Number of females, = 60 Number of males, = 70Probability of choosing a female with blue eyes, = 0.41Probability of choosing a male with blue eyes, = 0.7The total number of female and male with blue eyes is calculated as;
Total female with blue eyes = 0.41 x 60 = 24.6
Total male with blue eyes = 0.7 x 70 = 49
Total blue eyes = 24.6 + 49 = 73.6
The probability that one person chosen has blue eyes is calculated as follows;
\(P = \frac{73.6}{60 + 70}\\\\P = \frac{73.6}{130} \\\\P = 0.566\\\\P \approx 0.57\)
Thus, the probability that one person chosen has blue eyes is 0.57.
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HELP ME QUICK
In Shawn's class, all the students have pets. Of those pets,1/5 are cats. Of those cats, 2/3 are alley cats. What fraction of the pets are alley cats?
Answer:
2/15
Step-by-step explanation:
You want to know the fraction that is 2/3 of 1/5.
TimesIn this context, "of" means "times."
2/3 of 1/5 = (2/3)×(1/5) = (2·1)/(3·5) = 2/15
2/15 of the pets are alley cats.
I have 3 1/2 bottles of maple syrup. I filled nine one quart bottles with syrup. How much syrup do I have left?
Answer:
\(\frac{25}{4}\) bottle of syrup is left
Step-by-step explanation:
Total amount of syrup \(= \frac{31}{2}\)
Bottles filled with syrup \(= 9\frac{1}{4}\)
Syrup left
\(= \frac{31}{2} - 9\frac{1}{4}\\= \frac{31}{2} - \frac{37}{4}\\= \frac{62-37}{4}\\= \frac{25}{4}\)
\(\frac{25}{4}\) bottle of syrup is left
Max has three pieces of oak trim that are 7 inches, 11 inches, and 18 inches long. He wants to use them to make a triangular base for a candleholder. Will the pieces make a triangle? Explain your answer.
Answer:
NoStep-by-step explanation:
Use triangle inequality theorem, which states
"The sum of the lengths of any two sides of a triangle is greater than the length of the third side."
The sum of two sides compared to the remaining side:
7 + 11 = 18 = 18 - not ok7 + 18 = 25 > 11 - ok11 + 18 = 29 > 7 - okThe sum of two sides is equal to the third side. This makes it impossible to make a triangle. Therefore the answer is no.
Write ratios in the form 1:n or n:1 6 : 14
Answer:
3/7 : 1 OR 1 : 7/3
Step-by-step explanation:
You can set up ratios as a fraction and solve for the missing piece. See images.
Answer:
1 : 2.33 aka 1: 2 1/3
Step-by-step explanation:
1) 6 : 14
2) divide both sides by 6
6/6=1
14/6=2 1/3
3) 1 : 2 1/3
SO I NEED HELP ON THIS
How would i show my work on an online exam?
Answer:
1.47 years
Step-by-step explanation:
Given that,
The height of male elephant is given by the formula,
\(h=62.5\sqrt[3]{t} +75.8\)
If h = 275 cm, we need to find the age of the elephant.
Put h = 275 cm in the above formula,
\(275=62.5\sqrt[3]{t} +75.8\\\\275-75.8=62.5\sqrt[3]{t}\\\\199.2=62.5\sqrt[3]{t}\\\\t=1.47\ years\)
So, the required time be 1.47 years.