Answer:
The base of cone is [tex]b= \frac{3V}{h} [/tex]
Step-by-step explanation:
Given :-
[tex]V =\frac{1}{3} \times b \times h[/tex] .............(1)
we need to solve for the base of cone
Divide both the side by ' h ' in equation (1)
[tex]\frac{V}{h} =\frac{1}{3} \times b[/tex]
Multiply both the sides by 3, in above expression
[tex]3\times \frac{V}{h} = b[/tex]
[tex]b= \frac{3V}{h} [/tex]
Hence, the base of cone is [tex]b= \frac{3V}{h} [/tex]
The Base of the cone whose volume is given is b = 3V/h.
Hence option D.
Since we know that,
A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top.
Here given that,
Base of cone = b
Height of cone = h
Since we also know that,
Volume of Cone = base X height / 3
⇒ V = b X h/3
⇒ 3V = b X h
⇒ b = 3V/h
Thus, the Base of the cone whose volume is given is b = 3V/h.
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The complete question is,
The formula for the volume of a cone is V = 1/3bh
Solve V=1/3bh for b,the base of the cone.
A. b=h/3v
B. b=V/3h
C. b=3h/V
D. b=3V/h
There are 6 quarters in a jar. Jill adds 2 quarters to the jar every day. Which linear equation represents the total amount of quarters in the jar after x days? A. 6y = 2x B. y = 6x + 2 C. y=16x+2 D. y = 2x + 6
Answer:
D. y = 2x + 6
Step-by-step explanation:
The amount of quarters that there´s in the jar is expressed by the letter "Y".
We know the jar had already 6 quarters.
Jill adds 2 quarters to the jar everyday, the number of days Jill does this will be represented by the letter "X", because it´s our variable.
What remains constant is that we started with 6 quarters and Jill deposits 2 more every day
Number of quarters in the jar "Y"= (Number of quarters deposited) 2*(number of days)X + (Number of quarters already in the jar) 6.
Y= 2x+6
The temperature on a summer afternoon is 85 degrees Fahrenheit. Define a variable and write an expression to find the temperature after it changes. Then evaluate your expression for a decrease of degrees Fahrenheit
The expression 85 + C; 85 + (-9) = 76; 76 degrees F option is (C) 85 + C; 85 + (-9) = 76; 76 degrees F is correct.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
The temperature on a summer afternoon is 85 degrees Fahrenheit.
Let C be the temperature in degrees
F = (9/5)C + 32
Or
C = [5/9](F - 32)
From the data given in the question:
Any temperature change is the sum of the initial temperature and the new value.
Temperature plus changes The figure will be positive if there has been an increase. The number will be negative if there is a reduction.
Thus, the expression 85 + C; 85 + (-9) = 76; 76 degrees F option is (C) 85 + C; 85 + (-9) = 76; 76 degrees F is correct.
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Find the missing term of the following sequence. . . . –45, __, –12, . . .
What are the coordinates of the x-intercept(s) of the graph of
y = (x - 6)(x + 5)?
A) (0, -30)
B) (-5, 0) and (6, 0)
C) (0, -5) and (0, 6)
D) (-6, 0) and (-5, 0)
Answer:
B. is the answer!!!!!!! (-5, 0) and (6, 0) is the correct answer.Step-by-step explanation:
(-5, 0) and (6, 0) is the correct answer.
To find the x-intercepts, use the Zero Product Property and solve for x:
x - 6 = 0
x = 6
x + 5 = 0
x = -5
Therefore, the x-intercepts are (6,0) & (-5,0).
Which statement is true about this argument?
Premises:
If two angles form a linear pair, then they are supplementary. If two angles are supplementary, then the sum of their measures is 180°.
Conclusion:
If two angles form a linear pair, then the sum of their measures is 180°.
A) The argument is not valid because the premises are not true.
B) The argument is not valid because the conclusion does not follow from the premises.
C)The argument is valid by the law of syllogism.
D)The argument is valid by the law of detachment.
The given argument is valid by the law of syllogism which is the correct answer would be option (C).
What are supplementary angles?The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles. There are two types of supplementary angles.
Premise: If two angles form a linear pair, they are supplementary.
If two angles are supplementary, the total of their measurements equals 180.
Conclusion: If two angles form a linear pair, the total of their measurements equals 180.
If two angles form a linear pair, they are always supplementary.
Thus, if two angles form a linear pair, the total of their measures is 180°; however, if two angles are supplementary, it does not ensure that they will form a linear pair.
So the given argument is valid by the law of syllogism.
Hence, the correct answer would be option (C).
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Determine the slope of the graph of x3 = ln(xy) at the point (1, e).
The slope of the graph of x^3 = ln(xy) at the point (1, e) is 2e. This is found by taking the derivative of the equation to find a formula for the slope at any point, and then substitifying the given point into that formula.
Explanation:To determine the slope of a graph of the equation x3 = ln(xy) at a specific point, we need to take the derivative of the equation, which gives us the slope at any point. Given the equation x^3 = ln(xy) and the point (1, e), first we can take the derivative implicitly.
Using the chain rule and the fact that the derivative of ln(x) is 1/x, we have 3x2dx = (1/y + x/y')dx. Simplifying this gives y' = (3x2y - 1)/x, which is the derivative of the equation and represents the slope at any given point.
Substituting x = 1 and y = e into the equation of the derivative, we get y' = (3.1e - 1)/1 = 2e, so the slope at the point (1, e) is 2e.
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12 inches increased by 36
Which best describes the graph of the function f(x) = 4(1.5)x?
A.The graph passes through the point (0, 4), and for each increase of 1 in the Bx-values, the y-values increase by 1.5.
B.The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5.
C.The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by 4.
D.The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by a factor of 4.
Final answer:
The function f(x) = 4(1.5)^x passes through the point (0, 4), and for each unit increase in x-values, the y-values are multiplied by a factor of 1.5, not just increased by a fixed amount.
Explanation:
The function f(x) = 4(1.5)^x describes exponential growth, where the base of the exponent is greater than 1. Thus, the graph of f(x) is not a straight line but an exponential curve. Evaluating the function at x=0 gives us f(0) = 4(1.5)^0 = 4, confirming the graph passes through the point (0, 4). For each increase of 1 in the x-values, the y-values are multiplied by 1.5, not merely increased by 1.5 or 4, consistent with the properties of an exponential function. Therefore, the correct answer is that the graph passes through the point (0, 4), and for each unit increase in x-values, the y-values increase by a factor of 1.5, correlating with option B.
factor a number, variable, or expression out of the polynomial shown below. 15x^3 + 20x
a. 15x(x^2+5x)
b. 5x(3x^2+4x)
c. 5x(3x^2+4)
d. 15x(x^2+5)
Final answer:
To factor a number, variable, or expression out of the polynomial 15x³ + 20xa, you can factor out 5x to get 15x(x²+5x).
Explanation:
To factor a number, variable, or expression out of the polynomial 15x³ + 20xa, you need to identify a common factor.
In this case, the common factor is 5x. So, you can factor out 5x from each term to get: 15x(x²+5x)
Therefore, the correct answer is option a. 15x(x²+5x).
Find the “missing terms” in the polynomial problems. Answers will have multiple terms.
1. (c^3 + c^2 - 5) + ( ) = c^2 + 2c - 7
2. (2d^2 + d) - ( ) = - d^3 + 3d - 1
3. ( ) - (2x^4 - 2x^2 - 3) = x^4 + x^3 - 2x^2 + x
Write 5 3/8 as an improper fraction.
15/8
43/8
23/8
53/8
Tell whether the sequence is arithmetic. If it is, what is the common difference?
15, 19, 23, 27, . . .
A. yes; 15/19
B. yes; 4
C. yes; 34
D. no
Answer:
yes 4
Step-by-step explanation:
If cos70 = 0.342, give another angle whose cosine is 0.343
The another angle whose cosine is 0.343 is -70.789 degrees.
Given that,
cos(70) = 0.342
We can use the fact that cos(x) = cos(-x) to find another angle whose cosine is 0.343.
Now
⇒ cos(x) = 0.343
⇒cos(-x) = cos(x)
= 0.343
Now, we need to find -x.
⇒ cos(-x) = 0.343
Taking inverse cosine on both sides, we get:
⇒ -x = arcos(0.343) we get,
⇒ -x = 70.789
Therefore, x = -70.789
Hence, another angle whose cosine is 0.343 is -70.789 degrees.
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which of the following is a factor of 15x2-14x-8
y=10x+16 looks like what on a graph
The measure of each interior angle of a regular polygon is 150 how many sides does the polygon have?
That is the screen shot for questions 5.
John has 54 white marbles and nine yellow marbles Ben has 16 white marbles and 96 yellow marbles Noel has 12 white marbles and 72 yellow marbles
Answer: the question
Step-by-step explanation:Select the correct answer from the drop-down menu.
John has 54 white marbles and 9 yellow marbles. Ben has 16 white marbles and 96 yellow marbles. Noel has 12 white marbles and 72 yellow marbles.
The boys who have the same ratio of white marbles to yellow marbles are .
What is the slope of this graph?
1/4
--4
--1/4
4
Answer:
4
Step-by-step explanation:
the last one I think
The slope of the graph is indeed 4.
You can find the slope of a line by using the following formula:
m = (y₂ - y₁) / (x₂ - x₁)
where m is the slope, (x₁, y₁) and (x₂, y₂) are any two points on the line.
In the given graph, two points are clearly marked: (0, 0) and (10, 40). Plugging these points into the formula, we get:
m = (40 - 0) / (10 - 0) = 40 / 10 = 4
Therefore, the slope of the graph is 4. So the answer is d. 4.
I'm stuck on trying to get X
How do you find the missing value?
The ratio of red pens to black pens is 3:2. What fraction of the pens are red
Answer:
1/4
Step-by-step explanation:
3/12 simplified is 1/4.
What is the slope of the line represented by the equation –5x+2y= 10 ?
–52
–25
25
52
y = 5/2 x + 10 slope: 5/2
Step-by-step explanation:
Abdul's average speed is 40 mph in heavy traffic, and his average speed is 60 mph in light traffic. If he was in heavy traffic for 1 hour and light traffic for 3 hours, how far did Abdul travel?
What is the value of x and y in this parallelogram
If you're traveling 75 mph how many miles will you go in an hour
PLZ HELPPPPPPPPPPPPPPPPPPPP!!!!!!!!
The point (2, 4) is on the graph of f(x) = x^2. What is the value of b if the point (0.5, 4) is on the graph of f(bx)?
4
0.5
1
2.5
Answer:
A. 4
Step-by-step explanation:
The total weight of a tin and the cookies it contains is 2 pounds. after � of the cookies are eaten, the tin and the remaining cookies weigh 0.8 pounds. what is the weight of the empty tin in pounds?
Math Help Please....
Which relationship is continuous? A. the number of cows a farmer has owned over the years B. the number of cookies Stan baked for the party C. the number of people attending the assembly D. the distance a runner ran during training
The relationship that is continuous is the distance a runner ran during training.
Explanation:The relationship that is continuous is D. the distance a runner ran during training.
A continuous relationship is one in which the values of one variable change smoothly and consistently over a given interval. In the case of the distance a runner ran during training, the distance can be any real number and can be measured with great precision, allowing for smooth changes in the values.
The continuous relationship is the distance a runner ran during training.
A continuous relationship is one where the variable changes smoothly and can take any value within a given range. Let's analyze the options:
A. The number of cows a farmer has owned over the years:
This relationship is likely continuous, as the number of cows can change smoothly over time, and there are no discrete jumps in ownership.
B. The number of cookies Stan baked for the party:
This relationship is likely discrete, as the number of cookies is typically counted in whole numbers without smooth transitions. Stan would bake a specific, countable quantity of cookies.
C. The number of people attending the assembly:
This relationship is likely discrete, as the number of people is counted in whole numbers and does not change smoothly. Attendees come in whole individuals, not fractions.
D. The distance a runner ran during training:
This relationship is continuous, as distance can vary smoothly and take any real value within a given range. Runners can cover fractional distances, making it a continuous variable.
Therefore, the continuous relationship is D, the distance a runner ran during training.