Answer:
its D
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
3x+2x = 13-3
5x = 10
x=2
answer these questions please
11. The area difference between them is 96 square units (192 - 96).
12. The trough stands 4 feet tall.
How to calculate areas?11. The area of Figure A is 96 square units (12 x 8) and the area of Figure B is 192 square units (16 x 12). The difference in their areas is 96 square units (192 - 96).
12. Let the height of the trough be h. The volume of the trough is given by the formula:
Volume = base area x height
Substituting the given values:
96 = 24h
Dividing both sides by 24:
h = 4
Therefore, the trough is 4 feet tall.
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If three standard, six-faced dice are rolled, what is the probability that the sum of the three numbers rolled is 9
When three standard six-faced dice are rolled, the probability that the sum of the three numbers rolled is 9 is equal to 10/216 or 5/108.
Total number of ways three dice can be rolled = 6 × 6 × 6 = 216.
Each dice can have any number from 1 to 6. The probability of rolling a particular number on a dice = 1/6.
The probability of rolling a particular number on three dice = (1/6) × (1/6) × (1/6) = 1/216.
In order to get a sum of 9, there are four combinations that can be rolled:
3 + 3 + 3 = 9
3 + 4 + 2 = 9
3 + 5 + 1 = 9
4 + 3 + 2 = 9
The probability of rolling any of these combinations = probability of rolling 3-3-3 + probability of rolling 3-4-2 + probability of rolling 3-5-1 + probability of rolling 4-3-2
= (1/216) + (3/216) + (3/216) + (3/216)
= 10/216 or 5/108.
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The diameter of a cylinder is 5 yd. The height is 4 yd. What is the volume of the cylinder
Answer:
25 pi square yd OR rounded pi to 3.14: 78.5 square yd
Step-by-step explanation:
Use the formula volume of cylinder = base area × h to determine the value of the base area.
Diameter: 5 yd
Height: 4 yd
(5/2)^2 Pi x 4 = 25 pi square yd.
Answer:
78.5 yd
Step-by-step explanation:
= \(\pi\)r²h
= (3.14)(2.5)²(4)
= (3.14)(6.25)(4)
= 19.625 x 4
= 78.5 yd
30
There are 640 acres in 1 square mile. The area of a
forest is increasing at a rate of 1 acre per decade.
Which of the following is closest to the rate at which
the area of the forest is increasing, in square
kilometers per decade? (Use 1 kilometer = 0.62
mile.)
A) 0.0006
B) 0.0010
C) 0.0025
D) 0.0041
0.0041 is closest to the rate at which the area of the forest is increasing, in square kilometers per decade.The correct answer is option D.
To determine the rate at which the area of the forest is increasing in square kilometers per decade, we need to convert acres to square kilometers and decades to years.
First, let's convert 1 square mile to square kilometers:
1 square mile = (1 mile)² = (1.60934 kilometers)² = 2.58999 square kilometers
Next, let's convert 1 acre to square kilometers:
1 acre = (1/640) square mile = (1/640) * 2.58999 square kilometers = 0.00404 square kilometers
Now, we know that the area of the forest is increasing at a rate of 1 acre per decade. So, the rate of increase in square kilometers per year is:
0.00404 square kilometers per decade ÷ 10 years = 0.000404 square kilometers per year
To find the rate in square kilometers per decade, we multiply the rate per year by 10:
0.000404 square kilometers per year × 10 = 0.00404 square kilometers per decade.
Among the given options, the closest rate is option D) 0.0041 square kilometers per decade.
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please explain how you got it also
a WHOLE is always simplified to "1", and we can use any denominator for that, so 5/5 is 1, and 7/7 = 1, and \(\cfrac{4}{4}\implies \cfrac{113}{113}\implies \cfrac{1000000}{1000000}\implies \text{\LARGE 1}whole\)
so hmmm for this case we'll be use thirds or namely the denominator of 3, so a whole bunch of basketballs was originally 3/3 of "b", "b" was the whole amount, so originally we had 3/3, but then during the day we sold 2/3 of them, so we were left with 3/3 - 2/3 = 1/3, and then 8 came back, because they were deflated or something, now the store has a total of 38 basketballs.
\(\stackrel{whole}{\cfrac{3}{3}b}~~ - ~~\stackrel{sold}{\cfrac{2}{3}b}\implies \cfrac{3b-2b}{3}\implies \cfrac{b}{3}\implies \stackrel{\textit{remaining in store}}{\cfrac{1}{3}b} \\\\\\ \stackrel{in~store}{\cfrac{1}{3}b}~~ + ~~\stackrel{coming~back}{8}~~ = ~~\stackrel{new~total}{38} \\\\\\ \cfrac{b}{3}+8=38\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( \cfrac{b}{3}+8 \right)=3(38)}\implies b+24=114\implies \stackrel{originally}{b=90}\)
Which is the graph of a quadratic equation that has a negative discriminant?
Answer:
1st graph
General Formulas and Concepts:
Algebra I
Discriminant b² - 4ac
Positive - 2 solutionsEqual to 0 - 1 solutionNegative - No solutions/ImaginaryStep-by-step explanation:
We are given that our graph will have a negative discriminant. Therefore, our graph will not touch the x-axis as it has no solutions.
Answer:
1
Step-by-step explanation:
give brainliest
U8-HW4 Trigonometric Ratios & finding missing sides
Answeriits the one in the forth box
Step-by-step explanation:
Which story problem can be answered using the equation below?
2/3x4=8/3
A.
A group of eight friends share 4 pounds of ice cream equally among themselves. How many pounds of ice cream do 3 of them get?
B.
Jason has 2 pounds of berries to share with 3 friends. He divides the berries into 4 equal servings. How many pounds of berries does each person get?
C.
Jessica cuts 4 meters of ribbon into 3 equal parts and uses 2 of these parts to decorate a poster. How many meters of ribbon does she use on her poster?
D.
Adam is hosting a graduation party. He pours 4 cans of juice into 8 glasses equally. How many cans of juice will 3 of these glasses have?
Answer: C
Step-by-step explanation:
4/8 ×3/1
Find the flow rate of water in each (steel) pipe at 25°C in each
pipe. Ignore minor losses.
1.2 ft³/s All pipes 2-1/2-in Schedule 40 50 ft 50 ft 30 ft 50 ft 50 ft 0.3 ft³/s 0.3 ft³/s 30 ft 0.6 ft³/s
The flow rate of water in each steel pipe at 25°C is as follows:
Pipe 1: 1.2 ft³/s
Pipe 2: 0.3 ft³/s
Pipe 3: 0.3 ft³/s
Pipe 4: 0.6 ft³/s
To calculate the flow rate of water in each steel pipe, we need to consider the properties of the pipes and the lengths of the sections through which the water flows. The schedule 40 pipes mentioned in the question are commonly used for various applications, including plumbing.
Given the lengths of each pipe section, we can calculate the total equivalent length (sum of all lengths) to determine the pressure drop across each pipe. Since the question mentions ignoring minor losses, we assume that the flow is fully developed and there are no significant changes in diameter or fittings that would cause additional pressure drop.
Using the flow rate formula Q = ΔP * A / √(ρ * (2 * g)), where Q is the flow rate, ΔP is the pressure drop, A is the cross-sectional area of the pipe, ρ is the density of water, and g is the acceleration due to gravity, we can calculate the flow rates.
Considering the given data, we can directly assign the flow rates to each pipe:
Pipe 1: 1.2 ft³/s
Pipe 2: 0.3 ft³/s
Pipe 3: 0.3 ft³/s
Pipe 4: 0.6 ft³/s
The flow rate of water in each steel pipe at 25°C is determined based on the given information. Pipe 1 has a flow rate of 1.2 ft³/s, Pipe 2 and Pipe 3 have flow rates of 0.3 ft³/s each, and Pipe 4 has a flow rate of 0.6 ft³/s. These values represent the volumetric flow rate of water through each pipe under the specified conditions.
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a parking meter that is 1.6m tall costs a shadow of 3.6m long. at the same time, a tree costs a shadow 9m long. which proportion could be used to fin the height of the tree?
well, 1.6m:3.6m, so then for 9m, we would divide 1.6 by 3.6, which is 0.444444... So, we multiply 9 by 0.444444, which is 3.9999996. We can round this to 4, so 9m:4m. The 9m tall tree casts a shadow of 4m.
The tree casting a shadow of 9 meters is actually 20.25 meters in height.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The information's given that a parking meter that is 1.6m tall costs a shadow of 3.6m long. at the same time, a tree costs a shadow 9m long.
The height of the sign that casts a shadow of 1.6 meters is = 3.6
Then the height of the tree that casts a shadow of 9 meters
= (3.6/1.6) x 9 meters
= 20.25 meters
Therefore, the height is actually 20.25 meters.
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Select the interval where f is negative.
In interval B the value of the function is negative. The correct option is B.
What is a function?A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain.
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.
In the given figure the function is increasing so positively in portion A, and after that, the function is decreasing so negatively in section B. After that, the function is again increasing so positive in section C.
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Calculate the slope of the line that passes through (8,5) and (6,2)
To find the slope we need two points and the formula
\(m=\frac{y2-y1}{x2-x1}\)where (x2,y2) is a right point from (x1,y1) so x2>x1
now replacing
\(\begin{gathered} m=\frac{5-2}{8-6} \\ \\ m=\frac{3}{2} \end{gathered}\)the slope is 3/2
Find the probability of each event
A fair coin is flipped ten times. What is
the probability of the coin landing tails up
at least nine times?
Answer:
11/1024.
Step-by-step explanation:
Binomial Probability distribution.
This is the probability of 9 tails or 10 tails being flipped.
Prob ( 10 tails) = (1/2)^10 = 1/1024
Prob ( 9 tails) = 10C9 * 1/2^9* 1/2 = 5/512
Required probability = 1/1024 + 5/512
= 11/1024.
The inverse of a function can be found by ___ the numbers in each ordered pair of the function.interchangingreflectingexponentintercept
The main answer to your question is "interchanging". To find the inverse of a function, we interchange the numbers in each ordered pair of the function. This means that we switch the x and y values of each point in the function.
For example, if we have a function f(x) = 2x + 3, the ordered pairs would be (1,5), (2,7), (3,9), etc. To find the inverse function, we would switch the x and y values of each point to get ordered pairs such as (5,1), (7,2), (9,3), etc.
The explanation for why we interchange the numbers is that the inverse function "undoes" the original function. If we apply the original function to a number, the inverse function will take us back to the original number. By switching the x and y values, we make sure that the inverse function will undo the original function.
In conclusion, to find the inverse of a function, we interchange the numbers in each ordered pair of the function. This ensures that the inverse function will undo the original function.
Hi! I'm happy to help you with your question.
Main answer: The inverse of a function can be found by interchanging the numbers in each ordered pair of the function.
Explanation: When finding the inverse of a function, you are essentially swapping the input and output values in each ordered pair (x, y) to create a new ordered pair (y, x). This process is called interchanging the numbers in the ordered pair.
Conclusion: To find the inverse of a function, you need to interchange the numbers in each ordered pair of the function, which essentially swaps the input and output values.
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Who introduced judicial activism?
Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".
What is judicial activism?
Judicial activism is a judicial philosophy that is sometimes referred to as "legislating from the bench". It is an exercise of judicial review and generally refers to the willingness of a judge to strike down legislative or executive actions regarding constitutional issues. Judicial restraint is generally thought of as the opposite of judicial activism.[1]
Earlier in the january of 1947 ,Arthur Schlesinger Jr. introduced the term "judicial activism" .An article by Keenan Kmiec says that in its early usage, it was sometimes used with a positive connotation akin to the term "civil rights activist".
Thus , Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".
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A gym charges an initial membership fee of $35 and charges $15 per month. Sarah is buying a yearly membership to the gym. Which equation can be used to find y, the total cost Sarah will pay to go to the gym for the year?
a
y = 12x + 35
b
y = 15x + 35
c
y = 35x + 15
d
y = 180x + 15
Answer:
B
Step-by-step explanation:
35+15x
yodzgoddyistidt8t8ddyidyodyidyiiyd
Data were collected on the distance a hockey puck will travel when hit by a hockey stick at a certain speed. The speed, s, is measured in miles per hour, and distance, ŷ, is measured in yards. The line of fit is given by ŷ = 3.76 + 62.08s.
If a hockey player hits a puck at a speed of 50 miles per hour, how far will the puck travel?
3,107.76 yards
3,292.00 yards
4,256.89 yards
4,733.00 yards
The hockey puck will travel 3107.76 yards with a speed of 50 miles per hour. So, the correct answer is option A .
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Given that, equation of line is y=3.76+62.08s.
Here, the speed, s, is measured in miles per hour, and distance, y, is measured in yards.
If a hockey player hits a puck at a speed of 50 miles per hour,
Then, number of yards puck travelled is
y=3.76+62.08×50
= 3.76+3104
= 3107.76 yards
Therefore, option A is the correct answer.
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14 = 3y - 4
Help me pls
Answer:
y = 6
Step-by-step explanation:
I'm going to assume you want to solve for y.
Step 1: Move all constants to 1 side, isolating y and its coefficient:
14 = 3y - 4
14 + 4 = 3y - 4 + 4
18 = 3y
Step 2: Divide both sides by 3 to solve for y:
3y = 18
3y / 3 = 18 / 3
y = 6
Final answer: y = 6
find an equation of the line tangent to the curve at the point corresponding to the given value of t. x=t^2-23, y=t^3 + t; t=5
The equation of the line tangent to the curve at the point corresponding to the given value of t.
x = t²-23 and y = t³ + t, at t = 5 is
38x - 5y + 574 = 0
Given, a curve with the points represented by
x = t²-23 and y = t³ + t, at t = 5
we have to find an equation of the line tangent to the curve at the given point on the curve.
so, the given point is (x , y) = (5² - 23 , 5³ + 5)
(x , y) = (2 , 130)
Now, the slope of the curve at that point be,
dy/dx = (3t² + 1)/(2t)
dy/dx = 76/10
Now, on using the slope-intercept form, we get
(y - 130)/(x - 2) = 38/5
5(y - 130) = 38(x - 2)
5y - 650 = 38x - 76
38x - 5y + 574 = 0
Hence, the equation of the line tangent to the curve at the point corresponding to the given value of t.
x = t²-23 and y = t³ + t, at t = 5 is
38x - 5y + 574 = 0
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A real number that can be written as a ratio(fraction) is a _________________ ________________.
Answer:
rational number
Step-by-step explanation:
There were 10 ducks on a pond. 6 flew away. what fraction of the ducks were left?
The fraction of ducks remaining on the pond is 2/5.
To determine the fraction of ducks remaining, we need to compare the number of ducks left to the initial number of ducks. Initially, there were 10 ducks on the pond. When 6 ducks flew away, the subtraction of 6 from 10 yields 4 ducks remaining. Therefore, the fraction of ducks left can be expressed as 4/10.
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which in this case is 2. Dividing 4 by 2 gives us 2, and dividing 10 by 2 gives us 5. Thus, the simplified fraction is 2/5. This means that two-fifths of the original number of ducks are still on the pond.
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I think I’m be wrong but I think 1) TD QR
2) <—>
QR
3) TSR
But can somebody check if I’m right or wrong
Answer:
1) TQ and QR
2) QR
3) Q, S, and B (noncollinear = not on the same line)
I need help I don't understand this
Answer:
x = 2
Step-by-step explanation:
Given
- 3 + 6x = 25 - 8x ( add 8x to both sides )
- 3 + 14x = 25 ( add 3 to both sides )
14x = 28 ( divide both sides by 14 )
x = 2
Answer:
x = 2
Step-by-step explanation:
-3 +6x = 25 -8x
Add 8x to each side
-3 +6x+8x = 25 -8x=8x
-3+14x = 25
Add 3 to each side
-3+3+14x = 25+3
14x = 28
Divide by 14
14x/14 = 28/14
x = 2
Which ordered pair is in the solution set of y>1/3x + 4? (this > is actually greater than or equal too)
a.(-6, 1)
b.(-1,6)
c.(6,-1)
d.(1,-6)
Answer:
looking for it
Step-by-step explanation:
Answer:
-1,6
Step-by-step explanation:
pls help with these math problems
Answer:
Step-by-step explanation:
1)
First we add what we know for y into the second equation.
5x - 4(x +2)= -3
From there, we simplify it
5x-4x-8= -3
x-8=-3
Now we get the x on its own
x=5
and now we add x=5 into the first equation that we had and simplify to find y
y=5+2
y=7
So the answer is x=5, y=7 or (5,7)
2)
For this one we do the same thing as with 1.
Add what we know for y (bottom equation) to the top equation
3x-8(x-8)=24
Now we simplify
3x-8x+64=24
-5x+64=24
And now solve for X
-5x=-40
x=8
And then substitute x=8 to find y
y=8=8
y=0
So the answer is x=8, y=0 or (8,0)
What are the roots of the equation 3X^2=13x-18 in simplest a+bi form?
Answer:
x =(13-√385)/6=-1.104
x =(13+√385)/6= 5.437
Step-by-step explanation:
a 17 feet ladder is placed against a building. the bottom of the ladder is sliding away from the building at a rate of 5 feet per second. find the rate at which the top of the ladder is slipping down at the instant when the bottom of the ladder is 15 feet from the base of the building.
The rate at which the top of the ladder is slipping down at the instant when the bottom of the ladder is 15 feet from the base of the building is -75/8 feet per second
The length of the ladder = 17
Consider the length of the base as x and the height is h
The rate at which the ladder is sliding = 5 feet per second
dx/dt = 5
Apply the Pythagorean theorem
x^2 + h^2 = 17^2
h^2 = 289 - x^2
h = \(\sqrt{289-x^2}\)
The rate of change of height with respect to x is
dh/dx = - x / (289 - x^2)^(1/2)
dh/dt = dh/dx × dx/dt
Substitute the values in the equation
= - 15 / (289 - 15^2)^(1/2) × 5
= -15/8 × 5
= -75/8 feet per second
Therefore, the rate of change of height when x = 15 is -75/8 feet per second
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Assume that each circle shown below represents one unit. Express the shaded amount as a single fraction and as a mixed number.
Answer:
jwjeek
Step-by-step explanation:
ieieiieieiieeieiejehe
water is exiting a giant cone shaped funnel at a rate of 15 cubic inches per second. the funnel is 75 inches high and has a maximum radius of 40 inches. what is the rate at which the water level of the funnel is changing when the water is 15 inches high? note that the volume of the cone is v
In the event of alteration in the rate at which the water level of the funnel is changing when the water is 15 inches high is 0.42 cubic inches per second.
The volume of a cone is given by the formula V = (1/3)πr²h here r is the radius of the base and h is the height of the cone.
Now we have differentiate this formula concerning t to get
dV/dt = (1/3)πr²dh/dt + (2/3)πrh²dr/dt.
It is given to us that water is coming out a giant cone shaped funnel at a rate of 15 cubic inches per second, then we can say that
dV/dt = -15 cubic inches per second
Therefore the funnel has a maximum radius of 40 inches and a height of 75 inches. We need to evaluate dh/dt
If h = 15 inches.
In order to find dh/dt,
we need to evaluate dr/dt and place it in equation for dV/dt.
Therefore, to find dr/dh = r/h.
Given
when h = 75 inches,
r = 40 inches.
Therefore, dr/dh
= 40/75.
Staging this into the equation for dV/dt,
-15 = (1/3)π(40²)(dh/dt) + (2/3)π(40)(15)²(40/75)
Here simplification takes place
dh/dt = -0.4π/3
≈ -0.42 cubic inches per second
In the event of alteration in the rate at which the water level of the funnel is changing when the water is 15 inches high is 0.42 cubic inches per second.
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...........................
Answer:
below
Step-by-step explanation:
uG =(12sin45)/sin85