Answer:
yes,
d= -24
-105, -129,-153
Step-by-step explanation:
Please awnser this and give me the right awnser
prodigy question of perimiter
The number of length of 4 feet they need is 8.
How to find the number of length required for fencing?He wants to fence around there garden that measures 8 feet by 8 feet.
The store sells fencing in length of 4 feet's.
Therefore,
perimeter of the garden = 4l
where
l = side lengthThe perimeter of a shape is the sum of the whole side.
Hence,
perimeter of the garden = 4 × 8
perimeter of the garden = 32 feet
Therefore,
number of length required = 32 / 4
number of length required = 8
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How are the graphs of the functions f(x) = StartRoot 16 EndRoot Superscript x and g(x) = RootIndex 3 StartRoot 64 EndRoot Superscript xrelated?
The functions f(x) and g(x) are equivalent.
The function g(x) increases at a faster rate.
The function g(x) has a greater initial value.
The function g(x) decreases at a faster rate.
Answer:
A. The functions f(x) and g(x) are equivalent.Step-by-step explanation:
Given functions:
f(x) = √16 = √4² = 4g(x) = ∛64 = ∛4³ = 4As we see both function are same once roots cleared.
Correct choice is A
Step-by-step explanation:
f(x) = \(\sqrt{16} = 4\) g(x) = \(\sqrt[3]{64} = 4\) f(x) = g(x) ==> 4 = 4Soo, answer is option (A.)
Solve the equation for x
3x + 5 = 14
Answer:
\(x=3\)
Step-by-step explanation:
\(3x+5=14\)
Subtract 5 from both sides:
\(3x+5-5=14-5\)
\(3x=9\)
Divide both sides by 3:
\(\frac{3x}{3}=\frac{9}{3}\)
\(x=3\)
what sample size should be used if we would like to estimate the mean age of the college students at a particular campus with 99% confidence? we would also like to be accurate within 3 years and we will assume the population is normally distributed with a standard deviation of 4.5 years.
the sample size should be used if we would like to estimate the mean age of the college students at a particular campus with 99% confidence is 0.7168
The formula to find the sample size is given by:-
n= ( z- σ / E)^2
, where σ is the population standard deviation, z is the z-value for the
( 1-\(\alpha\)) confidence interval and E is the margin of error .
As per given , we have
Population standard deviation : σ=4.5
z-value for 95% confidence interval : z= 1.960
Margin of error : E= 3
Then, the required minimum sample :-
n= (1.96- 4.5/3)^2
this implies n = 0.7168
Hence, the required minimum sample size = 0.7168
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Use the distributive property to find the equivalent expression.
9(3 + 7k) =
+
Answer:
63k + 27
Step-by-step explanation:
9(3) + 9(7k)
27 + 63k
what is the slope between (1,-1) and (-4,-1)
The question gives us two points, (1,-1) and (-4,-1), from which we can find the slope and later the equation of the line.
The moment I look at the points, I can tell that the slope is 0 becasue the y values are the same (meaning the line is horizontal)
Calculating the Slope
The slope of the line (m) = (-1 - (-1)) ÷ (-4 - 1)
= (0) ÷ (-5)
= 0
Checking my answer visually:
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. Once we have that equation, we can graph it to see if it passes through the two points. If it does, then we calculated the slope correctly.
⇒ y - (-1) = 0 (x - 1) [ using the point (1, -1)]
y + 1 = 0
y = -1
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
In June, a camp has 325 campers and 26 counselors. In July, 265 campers leave and 215 new campers arrive. How many counselors does the camp need in July to keep an equivalent ratio of campers to counselors?
Answer:
\(\boxed{22}.\)
Step-by-step explanation:
In June, the camp had 325 campers and 26 counselors, for a ratio of 325/26=<<325/26=12.5>>12.5 campers per counselor.
In July, there are 325-265=<<325-265=60>>60 remaining campers from June, and 215 new campers arrive, for a total of 60+215=<<60+215=275>>275 campers in July.
To maintain the same ratio of campers to counselors as in June, the camp would need 275/12.5=<<275/12.5=22>>22 counselors in July.
It's easy math but I am not very good at it, I need some help. can someone help me????? solve all 3of them please!
Answer:
1. 458 - 247 = 211
2. 58.92 - 43.87 = 15.05
3. 51/8 - 15/8 = 4.5
Here you go ! Hope this helps !
Answer:
1. 458 - 247 = c
2. 58.92 - 43.87 = c
3.\(\frac{51}{8}\) - \(\frac{15}{8}\) = c
Step-by-step explanation:
Hope this helps! <3
Given a right cone with base area B and height h, what is the formula for the
volume?
O A. V=-1/3 Bh
OB. V= Bh
OC. V=1/3 Bh
OD. V = 1/2 Bh
Answer:
V=1/3 Bh
Step-by-step explanation:
V=πr² h/3
since base area is b means πr² = b
ie b × h/3
ie bh × 1/3
ie 1/3 Bh
The formula for the volume is (1/3)Bh.
What is Volume?The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
As per the given data:
We are given the base area of a cone.
We are also given the height of the cone.
We have to find out the volume of the cone using the given value.
The volume of a right circular cone is given by:
(1/3)πr²h
Here the area of the base is πr² and the height is h.
Correspondingly, from the data given in the question:
B = πr²
So the expression for volume of the cone becomes:
Volume = (1/3)Bh
The formula for the volume is (1/3)Bh.
Hence, the formula for the volume is (1/3)Bh.
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you find a piece of bone that has a 14c/12c ratio that is 1/16 that of the atmospheric 14c/12c ratio. what is the approximate age of the bone?
The approximate age of the bone is 22920
The half-life of an isotope is characterized as the sum of time it takes for there to be half the beginning sum of the radioactive isotope present.
since we know for half time
N = N₀(1/2) n ..........1
where n is the new amount whereas N₀ is the initial amount and n is the number of half time
since the ratio of 14c:12c is 1/16
so the equation 1 gets converted to
N/No =(1/2)n
=>1/16 = (1/2)n
=>(1/2)4 = (1/2)n
=> n= 4
So the age of the bone will be 4* 5730 =22920
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You find a piece of bone that has a 14c/12c ratio that is 1/16 that of the atmospheric 14c/12c ratio. If the half-life of 14C is 57305730 years what is the approximate age of the bone?
the administration team compiled test results for those who had been tested for strep throat in a random sample of 400 sick patients who had been tested. the following relative frequency table shows the data. positive negative total has the flu 54% 6% 60% does not have the flu 8% 32% 40% total 62% 38% 100% based on the data, what is the ratio of false positives to true positives? 6 over 32 8 over 6 8 over 54
The ratio of false positives to true positives is 8 over 54.
According to the Question
Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.
We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.
We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.
As a result, the ratio becomes 8% / 54%, or 8/54.
It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.
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0.15, 0.17, 0.19.
what is going up by ?
Answer:
It goes up by 2 each time
Step-by-step explanation:
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
9 years.
Step-by-step explanation:
Make x the number of years passed.
\(\frac{39+x}{3+x}=4\)
12 + 4x = 39 + x
27 = 3x
x = 9
Simplify the expression -|2|
Answer:
-2
Step-by-step explanation:
The absolute value turns any number, whether it’s negative or positive, to a positive. Thus, it becomes -2 after deleting the absolute values.
an airline passenger drops a coin while the plane is moving horizontally at 265 m/s.
Randomized Variablesv = 265 m/s
h = 1.9 m
How far does the coin travel horizontally in meters with respect to the Earth if it falls 1.9 m?
Therefore, the coin travels approximately 230.55 meters horizontally with respect to the Earth when it falls 1.9 meters from the moving plane.
When the coin is dropped from the moving plane, it will inherit the horizontal velocity of the plane. The vertical motion of the coin due to gravity will not affect its horizontal motion. Therefore, the horizontal distance traveled by the coin will be the same as the horizontal distance traveled by the plane during the time it takes for the coin to fall 1.9 m.
To find this horizontal distance, we can use the equation of motion:
Distance = Velocity × Time
The time it takes for the coin to fall 1.9 m can be calculated using the equation of motion for vertical motion:
\(h = (1/2)gt^2\)
Where h is the vertical distance, g is the acceleration due to gravity, and t is the time.
Given:
h = 1.9 m
\(g = 9.8 m/s^2\) (approximate value)
Solving for t:
\(1.9 = (1/2)(9.8)t^2\\3.8 = 4.9t^2\\t^2 = 3.8/4.9\)
t ≈ 0.87 seconds (approximate value)
Now, we can calculate the horizontal distance traveled by the plane during this time. Since the horizontal velocity of the plane is 265 m/s, we have:
Distance = Velocity × Time
Distance = 265 m/s × 0.87 s
Distance ≈ 230.55 meters
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The coin travels approximately 164 meters horizontally with respect to the Earth while falling 1.9 meters vertically. This calculation is based on the principle of independence of motions and uses the equation of motion to find the time of fall.
Explanation:The subject of the question pertains to the concept of projectile motion in physics. Here, we're dealing with a case of horizontal motion, where vertical displacement (the coin falling down) does not affect the horizontal displacement (the coin's travel with the plane).
This is because of the principle of independence of motions, which states that in a projectile motion, horizontal and vertical movements are independent of each other. In other words, the vertical fall of the coin does not impact its horizontal motion, which remains constant at 265 m/s (the speed of the plane).
The time it takes for the coin to fall can be determined using the equation of motion: h = 0.5gt^2, where g is the acceleration due to gravity (9.8 m/s^2) and h is the distance fallen (1.9m). Solving for t, we find that t ≈ 0.62 seconds. The horizontal distance x travelled by the coin would then be v*t. Substituting the given values, we find that x = 265 m/s * 0.62s ≈ 164 meters.
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A $2000 bicycle depreciates at a rate of 10% per year.
Answer:
1180.98
Step-by-step explanation:
$2000*0.9^5
This is because we're just multiplying 2000 by 0.9 five times to reduce it by that amount.
it is estimated that the average principal owed for student loans in 2017 was $28,650 per student. if market rates go up and the interest rate for student loans increases from 5.05% to 6.8%, estimate how much more interest students will pay over a 10-year repayment period for this average amount owed, at the 6.8% rate as compared with a rate of 5.05%. round all figures to the nearest dollar.
For the given average principal $28650 of per student loan at the rate of interest increases from 5.05% to 6.8% , the amount of interest increases for the period of 10 years is equal to $8424 (nearest dollars).
As given in the question,
Principal amount owed by student for student loan 'P' = $28,650
Rate of interest increases from 5.05% to 6.8%
Time period of repayment of student loan 'T' = 10-years
Interest for the first rate of interest 'R' = 5.05%
Interest = P ×( 1+ R/100)^T
= 28,650 × ( 1 + 5.05/100 ) ^10
= 28,650 × ( 1 + 0.0505 )^10
= 28,650 × 1.63667
= $46,890.6
Interest for the second rate of interest 'R' = 6.8%
Interest = P ×( 1+ R/100)^T
= 28,650 × ( 1 + 6.8/100 ) ^10
= 28,650 × ( 1 + 0.068 )^10
= 28,650 × 1.930689
= $55,314.2
Increase in interest amount for increase in rate of interest from 5.05% to 6.8%
= $( 55,314.2 - 46,890.6 )
= $8423.6
=$8424 ( nearest dollar)
Therefore, for the given average principal $28650 of per student loan at the rate of interest increases from 5.05% to 6.8% , the amount of interest increases for the period of 10 years is equal to $8424 (nearest dollars).
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Bianca has two trees in her front yard. One is 71/1/2
meters tall, and the other is 4 meters tall.
The difference in height of the trees in Bianca front yard is 2 3 / 4 metres.
How to find how much taller one tree is to another?Bianca has two trees in her front yard. One is 7 1 / 2 metres tall and the other tree is 4 3 / 4 metres tall.
Therefore, the difference in height of the trees can be calculated as follows:
Let's convert the height of the tree to improper fractions as follows:
7 1 / 2 = 15 / 2 metres
4 3 / 4 = 19 / 4 metres
Therefore,
difference in height of the trees = 15 / 2 - 19 / 4
difference in height of the trees = 30 - 19 / 4
difference in height of the trees = 11 / 4 metres = 2 3 / 4 metres.
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rosie is driving from knoxvile, tennesse orlando, florida. she drives 317.88 miles before she stops for lunch and then another 203 4/5 miles before taking a break. rosie has driven 4/5 of the entire trip. how many total miles is her trip?
The total miles of the trip are 521.68 miles.
What is addition?Addition in maths, a process of combining two or more numbers.
Given that, Rosie drives 317.88 miles before lunch and then \(203\frac{4}{5}\) miles before break,
Total miles = 317.88 + \(203\frac{4}{5}\) miles = 521.68 miles
Hence, The total miles of the trip are 521.68 miles.
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Given {(1, 2), (3, 5), (-2, 2), (3,6)}, choose the pair of coordinates that clarify why this
relation is not a function.
Given:
The relation is:
\(\{(1, 2), (3, 5), (-2, 2), (3,6)\}\)
To find:
The pair of coordinates that clarify why this relation is not a function.
Solution:
A relation is called a function if there exist unique y-value for each x-value. In other words, if a relation has two outputs for a single input, then the relation is not a function.
The given relation is:
\(\{(1, 2), (3, 5), (-2, 2), (3,6)\}\)
This relation has two y-values 5 and 6 for a single x-value 3. Since the y-value is not unique all all values of x, therefore the relation is not a function.
Hence, the pairs of coordinates (3,5) and (3,6) clarify that the given relation is not a function.
Triangle A B C. The length of side A C is 10, B C is 6, and A B is 8. Triangle A prime B prime C prime. Side A prime C prime has a length of 5.
Triangle ABC is dilated to get triangle A'B'C'. Which is the length of A'B'?
Options:
3
4
5
16
The measure of side A'B' for the triangle A'B'C' is equal to 4 using a scale factor of 1/2 to dilate it.
What is scale factorScale factor is the ratio between the scale of a given original object and a new object, which is its representation but of a different size either bigger or smaller.
The dilation if the triangle ABC implies it is bigger than the triangle A'B'C' with a scale factor 1/2 since AC = 10 and A'C' = 5
side A'B' = 8 × 1/2
side A'B' = 4
Therefore, the measure of side A'B' for the triangle A'B'C' is equal to 4 using a scale factor of 1/2 to dilate it.
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Answer:
the answer is B, 4. :)
.Consider the following integral: I = ∫8 10 (6x+5)^1/3 dx. Note: answers are to be entered to four significant figures. a) Approximate the integral using the trapezium rule, with N = 4 subintervals I = Round your answer to 4 significant figures. b) Approximate the integral using Simpson's rule, with N = 4 subintervals I = Round your answer to 4 significant figures.
(a) The approximate value of the integrals using trapezium rule is 7.773.
(b) The approximate value of the integrals using Simpson's rule is 7.789.
What is the approximate value of the integrals?(a) The approximate value of the integrals using trapezium rule is calculated as follows;
N = 4 subintervals, so we will have;
[8, 8.5], [8.5, 9], [9, 9.5], and [9.5, 10].
The formula for the trapezium rule is given by;
I = Δx/2 [f(x₀) + 2f(x₁) + 2f(x₂) + 2f(x₃) + f(x₄)]
where;
Δx is the width of each subintervalΔx = (10 - 8) / 4 = 0.5
\(I = \frac{0.5}{2} [(6(8) + 5)^{(1/3)} + 2(6(8.5) + 5)^{(1/3)} + 2(6(9) + 5)^{(1/3)} + 2(6(9.5) + 5)^{(1/3)} + (6(10) + 5)^{(1/3)}]\\\\\)
I = 0.25 [3.75 + 7.64 + 7.78 + 7.9 + 4.02]
I = 0.25[31.09]
I = 7.773
(b) The approximate value of the integrals using Simpson's rule is calculated as follows;
N = 4 subintervals, we also divide the interval [8, 10] into 4 equal subintervals: [8, 8.5], [8.5, 9], [9, 9.5], and [9.5, 10].
The formula for the Simpson's rule is given by;
I = Δx/3[f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + f(x₄)]
\(I = \frac{0.5}{3} [(6(8) + 5)^{(1/3)} + 4(6(8.5) + 5)^{(1/3)} + 2(6(9) + 5)^{(1/3)} + 4(6(9.5) + 5)^{(1/3)} + (6(10) + 5)^{(1/3)}]\\\\\)
I = 0.167[3.75 + 15.28 + 7.78 + 15.81 + 4.02 ]
I = 0.167[46.64]
I = 7.789
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Use a double-angle formula to rewrite the expression.7 − 14 sin2 x
1) The point here is to use a double-angle formula, so let's pick this double-angle identity below:
\(1-2\sin ^2\left(x\right)=\cos \left(2x\right)\)2) Now, let's rewrite that expression by making use of that expression above, and factoring it:
\(\begin{gathered} 7-14\sin^2\left(x\right)\:\:\: \\ \\ 7\cdot \:1-7\cdot \:2\sin ^2\left(x\right) \\ \\ 7\left(1-2\sin ^2\left(x\right)\right) \\ \\ \left(1-2\sin^2\left(x\right)\right)7\:\:\:Use\:this\:double\:angle\:identity:\:1-2\sin^2\left(x\right)=\cos\left(2x\right) \\ \\ (\cos(2x))7 \\ \\ 7\cos \left(2x\right) \end{gathered}\)Note that we could simplify that since at the end, we could match it with the formula above.
Houa and her children went into a movie theater and she bought $30 worth of drinks and candies. Each drink costs $4 and each candy costs $3. She bought 4 more drinks than candies. Determine the number of drinks and the number of candies that houa bought.
Houa bought 6 drinks and 2 candies.
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
Let the number of drinks be x
Let the number of candies be y
Equations:
4x+3y=30.....(1)
x=4+y........(2)
Substitute 2 into 1
4(4+y)+3y=30
16+4y+3y=30
7y=30-16 = 14
y=14/7 = 2
So, (2) => x=4+2=6
So, Houa bought 6 drinks and 2 candies.
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justify 3.020020002 is a rational number with step by step answer
Answer:
This number is rational because there is a repeating pattern. Following the decimal, there is one 0 then a 2. This process repeats by adding a 0 each time the number 2 is passed.
Step-by-step explanation:
Find the product of 2x^(4x² + 3x + 1). (1 point)
O Bx + 6x² + 2x
O 8x + 3x² + 2x
O 2x + 6x + 8x8
O 6x² + 5x² + 3x
Answer:
A - 8x + 6x² + 2x
Step-by-step explanation:
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Find the width of a rectangle if the diagonal is 19 and the length is 16
Answer:
≈10.25
Step-by-step explanation:
use the Pythagorean Theorem: a² + b² = c²
c is the hypotenuse, the diagonal, or the longest side of the triangle
a = 16
b = ?
c = 19
(16)² + b² = (19)²
256 + b² = 361
b² = 105
b = √105 ≈ 10.25
The Ksp of copper sulfide (Cus) is 8. 0 x 10-37. What is the solubility concentration of Cu2+] in a saturated solution at 25°C?
A. 1. 3 x 10-18M
B. 8. 9 x 10-19
C. 6. 3 x 10-19
D. 6. 4 x 10-73M
The solubility concentration of Cu2+ in a saturated solution of copper sulfide (CuS) at 25°C is 6.4 x 10-73M.
The solubility product constant (Ksp) is a measure of the solubility of a compound in a saturated solution. It represents the equilibrium between the dissolved ions and the solid compound. In the case of copper sulfide (CuS), the Ksp is given as 8.0 x 10-37.
The Ksp expression for copper sulfide is Cu2+(aq) + S2-(aq) ⇌ CuS(s). Since the stoichiometry of the reaction is 1:1, the solubility concentration of Cu2+ is equal to the Ksp value.
Therefore, the solubility concentration of Cu2+ in a saturated solution of copper sulfide at 25°C is 6.4 x 10-73M, as stated in option D.
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Fred is planning a fundraiser where he will collect $4.50 fir every mile he runs.