Answer: 5/8 as a fraction 0.625 as a decimal
Step-by-step explanation:
Simplify (w3)4•(w5)2
Answer:
\(w^{22}\)
Step-by-step explanation:
\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)
What is the expression of x squared?
Answer:
x^2
Step-by-step explanation:
Answer:
X^2
Step-by-step explanation:
51.5:1.2=
|
What is the answer to 1.5 divided by 1.2
Answer:
1.25
Step-by-step explanation:
1.5 divided by 1.2 is 1.25
Hope this helps☺️
Answer:
1.25
Step-by-step explanation:
1.5 / 1.2 = 15/12 = 5/4 = 1 1/4 = 1.25
the sides of a triangle can be represented by 2x, 4x-7, 16+x. If the perimeter is 65, whats the length of the shortest side of the triangle?
Joan bought a soft drink for 4 dollars and 9 candy bars. She spent
a total of 40 dollars. How much did each candy bar cost?
Cost of 9candies=40-4=36$
Cost of one candy:-
\(\\ \sf\longmapsto \dfrac{36}{9}\)
\(\\ \sf\longmapsto 4\$\)
Answer:
Let c = the cost of each candy bar
4 + 9c = 40
subtract 4 from 40
9c = 36
divide 9 from 36
c = $4.00
Can someone help me answer this problem on ixl!!
Answer:
20 blogs
Step-by-step explanation:
Step 1: Determine the proportion of pop culture blogs:
First, we need to determine the proportion of pop culture blogs already written. We can do this by dividing the number of pop culture blogs already written by the total number of blogs written:
The proportion of pop culture bloggers = Number of pop culture bloggers / Total number of bloggers
Proportion = 26 / (20 + 26 + 7 + 12)
Proportion = 26 / 65
Proportion = 0.4
Step 2: Multiply the proportion of pop culture blogs by the number of upcoming blogs:
To determine the expected number of pop culture blogs that will be written given the data, we can multiply the proportion of pop culture blogs already written by the number of upcoming blogs:
Expected number of pop culture blogs = proportion of pop culture blogs * number of upcoming blogs
Expected number = 0.4 * 50
Expected number = 20
Thus, you should expect 20 pop culture blogs to be written given the data.
Calculate the volume of air in cubic centimeters of a sphere with diameter = 9 centimeters. Use your calculator’s pi button and round answers to two decimal places. V=______ cm3
The volume of air of a sphere with diameter 9 centimeters is 381.51 cubic centimeters
The formula for the volume of a sphere is:
V = (4/3)πr³
where r is the radius of the sphere.
The diameter of the sphere is 9 cm, which means the radius is half of that:
r = 9/2 = 4.5 cm
Substituting this value into the formula, we get:
Volume = (4/3)π(4.5)³
Volume = (4/3)×3.14 × 91.125
Volume = 381.51 cubic centimeters
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Which relationship represents a function with a greater rate
of change than the function graphed?
The relationship that represents a function with a greater rate of change than the function graphed is given as follows:
A. y = 4x - 3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b.
The slope represents the average rate of change of a linear function.
From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:
m = -2.
For function A, the function is defined as follows:
y = 4x + 3.
Hence the rate of change is given as follows:
m = 4, which is greater than -2.
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The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days and a standard deviation of 17 days.
In what range would you expect to find the middle 98% of most pregnancies?
Between
299.34
Incorrect229.3 and
303.4
Incorrect308.7.
If you were to draw samples of size 58 from this population, in what range would you expect to find the middle 98% of most averages for the lengths of pregnancies in the sample?
Between
264
Correct and
274.1
Correct.
Enter your answers as numbers. Your answers should be accurate to 1 decimal places.
You would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.
To find the range in which you would expect to find the middle 98% of most pregnancies, you can use the concept of z-scores and the standard normal distribution.
For the given data:
Mean (μ) = 269 days
Standard deviation (σ) = 17 days
To find the range, we need to find the z-scores corresponding to the 1% and 99% percentiles. Since the normal distribution is symmetric, we can find the z-scores by subtracting and adding the respective values from the mean.
To find the z-score for the 1% percentile (lower bound):
z1 = Φ^(-1)(0.01)
Similarly, to find the z-score for the 99% percentile (upper bound):
z2 = Φ^(-1)(0.99)
Now, we can calculate the z-scores:
z1 = Φ^(-1)(0.01) ≈ -2.33
z2 = Φ^(-1)(0.99) ≈ 2.33
To find the corresponding values in terms of days, we multiply the z-scores by the standard deviation and add/subtract them from the mean:
lower bound = μ + (z1 * σ) = 269 + (-2.33 * 17) ≈ 229.4 days
upper bound = μ + (z2 * σ) = 269 + (2.33 * 17) ≈ 308.6 days
Therefore, you would expect to find the middle 98% of most pregnancies between approximately 229.4 days and 308.6 days.
Now, let's consider drawing samples of size 58 from this population. The mean and standard deviation of the sample means can be calculated as follows:
Mean of sample means (μ') = μ = 269 days
Standard deviation of sample means (σ') = σ / sqrt(n) = 17 / sqrt(58) ≈ 2.229
To find the range in which you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we repeat the previous steps using the mean of the sample means (μ') and the standard deviation of the sample means (σ').
Now, calculate the z-scores:
z1 = Φ^(-1)(0.01) ≈ -2.33
z2 = Φ^(-1)(0.99) ≈ 2.33
Multiply the z-scores by the standard deviation of the sample means and add/subtract them from the mean of the sample means:
lower bound = μ' + (z1 * σ') = 269 + (-2.33 * 2.229) ≈ 264.0 days
upper bound = μ' + (z2 * σ') = 269 + (2.33 * 2.229) ≈ 274.1 days
Therefore, you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.
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Find the midpoint of each line segment.
Answer:
(1.5, 0.5)
Step-by-step explanation:
(5, 3) and (-2, -2)
5 - 2 / 2 = 1.5
-2 + 3 / 2 = 0.5
Show all work for the following
Algebraically solve the following system of equations.
(x+2)2+(y-3)2=16
x+y-1=0
Answer:
\((-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})\)
Step-by-step explanation:
Given:
\((x+2)^2+(y-3)^2=16\\x+y-1=0\)
To find: value of \(x,y\)
Solution:
\((x+2)^2+(y-3)^2=16\,\,\,...(i)\\x+y-1=0\,\,\,(ii)\)
From (ii),
\(x=1-y\)
Put this value of \(x\) in (i)
\((1-y+2)^2+(y-3)^2=16\\(3-y)^2+(y-3)^2=16\\(y-3)^2+(y-3)^2=16\\2(y-3)^2=16\\(y-3)^2=8\)
\(y-3=\) ± \(\sqrt{8}\) = ± \(2\sqrt{2}\)
\(y=3\) ± \(2\sqrt{2}\)
At \(y=3\) + \(2\sqrt{2}\) ,
\(x=1-(3+2\sqrt{2})=1-3-2\sqrt{2}=-2-2\sqrt{2}\)
At \(y=3-2\sqrt{2}\) ,
\(x=1-(3-2\sqrt{2})=1-3+2\sqrt{2}=-2+2\sqrt{2}\)
Solutions are \((-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})\)
Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.
What is Johnny's speed compared to Jane?
Explain.
25%
50%
150%
400%
The right response is 400%. In other words, Johnny moves at four times the pace of Jane.
We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.
We may compare the speeds as a fraction to figure out the ratio:
Johnny's speed divided by Jane's speed equals 4/1.
This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.
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Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc? input your answer as a number only, in units of mpc.
Galaxy distance is 118 mpc.
Given:
Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc.
According to hubble's law:
v = \(H_0\\\) * D
where
v = velocity = 8254
\(H_0\\\) = hubble constant = 70
D = v/\(H_0\\\)
= 8254/70
= 4127/35
= 117.91
≈ 118 mpc.
Therefore Galaxy distance is 118 mpc.
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y=x^2-2x+7
i need help finding the axis of symmetry,the domain, the y-intercept and x intercept
The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .
Explain about the features of parabolic function?A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.
The following characteristics define a basic parabola:
The y-axis, a symmetry axis, is where it is symmetric.At the origin, marking the minimal turning point, y has its minimum value. It is sometimes referred to as the parabola's vertex.The parabola's arms are infinitely long.Thus, from the given graph the value are obtained as:
the axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .Know more about parabolic function
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For the pair of parametric equations below, eliminate the parameter to find its Cartesian equation. Also specify the domain and range of your equation using interval notation.
x(t)=2cos(t)
y(t)=2sin(t)
The Cartesian Equation of the given parametric equation is written below
: x^2 + y^2=4
To eliminate the parameter t and find the Cartesian equation, we can use the trigonometric identity: cos^2(t) + sin^2(t) = 1. We can rearrange the given equations to get:
x(t) = 2cos(t)
y(t) = 2sin(t)
Dividing both sides of each equation by 2, we get:
cos(t) = x/2
sin(t) = y/2
Squaring both equations and adding them, we get:
cos^2(t) + sin^2(t) = (x/2)^2 + (y/2)^2
Using the identity, we can simplify the right-hand side to get:
1 = (x/2)^2 + (y/2)^2
Multiplying both sides by 4, we get the Cartesian equation:
x^2 + y^2 = 4
This is the equation of a circle with radius 2 centered at the origin. The domain of this equation is all real numbers, and the range is from -2 to 2 (inclusive) in both the x and y directions, represented as [-2,2].
In summary, the Cartesian equation of the given parametric equations is x^2 + y^2 = 4, with domain of all real numbers and range of [-2,2].
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How would you solve
"if f(x) / (x - 2) = x ^ 3 + 2x - 4 + 13/(x - 2) what is f(2)"
and
"if f(x) / (x + 3) = 3x ^ 2 - 4x + 2 what is f(-3)"
The denominator is zero (0/0 is undefined), we cannot determine the exact value of f(-3) using this equation.
To solve the given equations, we need to find the value of the function f(x) for specific values of x.
"If f(x) / (x - 2) = x³ + 2x - 4 + 13/(x - 2), what is f(2)?"
To find f(2), we can substitute x = 2 into the equation and solve for f(2).
Plugging in x = 2, we get:
f(2) / (2 - 2) = 2³ + 2(2) - 4 + 13/(2 - 2)
Since the denominator is zero (2 - 2 = 0), the equation is undefined. Therefore, there is no solution for f(2) in this case.
"If f(x) / (x + 3) = 3x² - 4x + 2, what is f(-3)?"
To find f(-3), we can substitute x = -3 into the equation and solve for f(-3).
Plugging in x = -3, we get:
f(-3) / (-3 + 3) = 3(-3)² - 4(-3) + 2
Simplifying, we have:
f(-3) / 0 = 3(9) + 12 + 2
f(-3) / 0 = 27 + 12 + 2
f(-3) / 0 = 41
Additional information or context is needed to solve for f(-3).
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grade 11 2022 June common test mathematics memorandum?
Note that the roots of the equation Unequal and rational (Option D)
How is this so ?The roots of the equation (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.
x - 3 = ±√4
⇒ x - 3 = ±2
Solve for x
For the positive square root.
x - 3 = 2
x = 2 + 3
x = 5
For the negative square root.
x - 3 = -2
x = -2 + 3
x = 1
Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)
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Full Question:
Although part of your question is missing, you might be referring to this full question:
The roots of the equation (x - 3)² = 4 are
A.Unequal and irrational.
B.Equal and rational.
C. Equal and irrational.
D. Unequal and rational.
PLEASE HELP 50 BRAINLY POINTS IF YOU ANSWER THIS QUESTION CORRECTLY
A probability value is listed at the top of each column. Determine the probability for each situation, then drag and drop each situation into the column under its correct probability.
The list of all probabilities from first to last are 0.5, 0.5, 0.2, 0.4, 0.5,
and 0.2.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
There are a total of 6 possibilities when rolling a die and of which three are even numbers.
P(rolling an even number is) = 3/6 = 1/2 0.5.
There are two possibilities when flipping a coin,
∴ The probability of getting a head is (1/2) = 0.5.
There are a total of (1 + 1 + 3) = 5 possibilities of choosing a block out of which one is red, therefore the probability of choosing a red is = (1/5) = 0.2.
Total 10 marbles and 4 blue marbles, hence the probability of choosing a blue marble is (4/10) = 2/5 = 0.4.
There are a total of 8 balls out of which 4 are soccer balls, hence the probability of choosing a soccer ball is = 4/8 = 1/2 = 0.5.
Total 15 balls out of which 3 tennis balls hence the probability of choosing a tennis ball is = 3/15 = 0.2.
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Find the greatest common factor of 18, 36, and 45.
Answer:
All divide by 9, so GCF= 9
Step-by-step explanation:
All divide by 9
Need help plzz%zzzzzzzzzzzz
Answer:
where is the question plez give question
Please help with this problem!! :)
Answer:
Reflection across \(x=4\)
Step-by-step explanation:
You must measure the distance between the rightmost point on the blue figure and the leftmost point on the orange figure. Then divide it in half and these dots will be the answer, how are they asking for a line you need to specify if it is horizontal or vertical, because the interchanged points are \(B\) with \(C\) and \(D\) with \(A\) we know that is a vertical line, so the answer is:
Reflection across \(x=4\)
What the meaning of statement this?
The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.
Axiom of RegularityThe set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.
The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.
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factorise FULLY 18e²f³- 12e³f
18e²f³- 12e³f
6e¹f¹( 3e¹f²-2e²)
Explain your answer choice with sentences or record your explanation.
Which expression is equivalent to n + n - 0.18n?
A. 1.18n
B. 1.82n
C. n – 0.18
D. 2n – 0.82
Answer:
B. 1.82n
Step-by-step explanation:
Expression given: n + n - 0.18n
Adding n+n gives '2n'
then subtracting 0.18n from 2n gives= 1.82 n
Therefore,
n + n - 0.18n=0.18n
On a piece of paper graph f(x) = 3x. Then determine which answer choice matches the graph you drew
Answer:
--
Step-by-step explanation:
Show all the options please
Not able to see all options
a square has the side length (x+5) units whats is its area
Answer:
25 square units
Step-by-step explanation:
Hope this helps :)
C.
D.
83-74-75-8
E
A motorist drives 150km from Abuja to Jo's in 1
hour 15 minutes, his average speed in
Answer:
the answer to this question is 120km/hr
Answer:
120 km per hour
Step-by-step explanation:
150 / 1.25 = 120 km per hour
A boat is heading towards a lighthouse, whose beacon-light is 126 feet above the water. The boat’s crew measures the angle of elevation to the beacon, 13∘. What is the ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest tenth of a foot if necessary.
Answer: The distance of the ship from the lighthouse is 546.4 feet.
Step-by-step explanation:
What is the angle of elevation?
The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
The beacon light is 126 feet high, the angle of elevation to the beacon is 13° and the distance from the lighthouse to the ship = x
These from a right-angled triangle,
from trigonometry
tan 13 = 126/x
making x the subject of the equation we have
x tan 13 = 126
x = 126/tan 13
but tan 13 = 0.2308
x = 126/0.2308
x = 546.4 feet
In conclusion, the ship's distance from the lighthouse is 546.4 feet.
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What time does this clock show
Answer:
6:58
Step-by-step explanation:
It can't be 7:58 because if it was it would be passing the 8 so we know it is 6:00.
we eliminated 7:02 and 7:58
And the it can't be 6:53 because it is passed the 11 which the 11=55 and it is passed the 11 so your answer is A 6:58
PLSS HELP I NEED DA ANSWERR!!
Answer:
10) x = 8.12
12) x = 5.5
Step-by-step explanation:
10) tan 32° = x/13
x = 8.12
12) cos 60° = x/11
x = 5.5