Answer:
\(3\frac{2}{3}\)
Step-by-step explanation:
Given the following question:
\(\frac{22}{6}\)
In order to convert a mixed number into an improper fraction we have to divide the numerator (in this case; 22) by the denominator (in this case; 6) to find your answer.
\(\frac{22}{6}\)
\(\frac{22}{6} \div2=\frac{11}{3}\)
\(\frac{11}{3}=11\div3=3\frac{2}{3}\)
\(=3\frac{2}{3}\)
Let three represent how many times 3 goes into 11, let 2 represent the remainder while of course keeping the denominator the same. Your answer is "3 2/3."
Hope this helps.
help will mark brainlist!
Answer:
a is 108
b is 65
this because both angels on the same side add up to 180 because of the parallel lines meaning those arrows
In spring 2017, data was collected from a random selection of sta 2023 students. One of the questions asked how many hours they had exercised in the past 24 hours. For the 39 randomly selected upperclassmen, the sample mean was 0. 76 and sample standard deviation was 0. 75. For the 35 randomly selected underclassmen, the sample mean was 0. 60 and the sample standard deviation was 0. 73. What is the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen?.
Comparing underclassmen and upperclassmen, the population means differ by 0.16 points.
Given;
Approximately 2023 students were sampled haphazardly from the spring of 2017.
The length of time they had worked out in the previous 24 hours was one of the questions. For the 39 upperclassmen chosen at random, the sample mean and sample standard deviation were 0.76 and 0.75, respectively.
According to the results of the random sample of 35 underclassmen, the sample means and standard deviation were 0.60 and 0.73, respectively.
The point estimate of the difference in the population means exercised between underclassmen and upperclassmen;
= Sample mean for upperclassmen - Sample mean for underclassmen
= 0.76 - 0.60
= 0.16
As a result, the point estimate of the difference between underclassmen and upperclassmen is 0.16.
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Write equations for the horizontal and vertical lines passing through the point , −8−5.
i need help please and thank you .i don't get get and i don't know if i got it right .
Answer: me so sorry come back later
Step-by-step explanation:
Answer:
i
Step-by-step explanation:
dk
5. Alisha ran 9.60 km. One mile is
approximately equal to 1.6 kilometers. How
many miles did Alisha run?
Answer:
Step-by-step explanation:
1 m is equal to 1.6 km so multiply to get about 6 miles
A scientific calculator has 42 buttons. There are twice as many grey buttons as orange buttons. There are two more white buttons than grey buttons. There twice as many black buttons as white buttons. WRITE AN EQUATION TO CALCULATE HOW MANY BUTTONS OF EACH COLOUR THERE ARE. LET X REPRESENT THE NUMBER OF ORANGE BUTTONS.
Answer:
x + 2x + 2x + 2 + 4x + 4 = 42
Step-by-step explanation:
Let us assume the number of orange buttons be x
So, the grey buttons be 2x
The white buttons would be 2x + 2
And the black buttons be 2(2x + 2) i.e. 4x + 4
Also the total is 42 buttons
So, the equation is
x + 2x + 2x + 2 + 4x + 4 = 42
I need help with this
Answer:
a and d
Step-by-step explanation:
pls mark brainliest
Solve
\( log_{ \sqrt{2} }x = 6\)
then value of x =?
Four point charges, each of magnitude 15.54μC, are placed at the corners of a square 82.6 cm on a side. If three of the charges are positive and one is negative, find the magnitude of the force experienced by the negative charge. The value of Coulomb's constant is 8.98755×10
9
N⋅m
2
/C
2
Answer in units of N.
The force experienced by the negative charge is -3.7431 N. The negative sign signifies that the force is attractive in nature.
Let the side of the square be a, therefore the distance between the charges on the diagonal would be d = a√2.
The electrostatic force on the negative charge due to the positive charges is calculated as given below:
F = kq1q2/d²... (1)
Since there are three positive charges, hence the total force on the negative charge would be:
Total Force = F1 + F2 + F3... (2) where F1, F2 and F3 are the force between the negative charge and the three positive charges.
Using equation (1) we get:
F1 = (8.98755 × 10⁹ × 15.54 × 10⁻⁶ × 15.54 × 10⁻⁶) / [(0.826 × √2)²]
F2 = F1 = F3 = (8.98755 × 10⁹ × 15.54 × 10⁻⁶ × 15.54 × 10⁻⁶) / (0.826)²
Using equation (2),
Total Force = 3
F1= 3 × (8.98755 × 10⁹ × 15.54 × 10⁻⁶ × 15.54 × 10⁻⁶) / [(0.826 × √2)²]
Putting the values of F1 and simplifying,Total Force = -3.7431 N
The force experienced by the negative charge is -3.7431 N. The negative sign signifies that the force is attractive in nature.
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what is the equation of a line perpendicular to y = 2x - 6 that passes through (5, 4)
(use y = m x + b)
(must solve for y to get slope)
The equation of the perpendicular line is y = -0.5x + 6.5
How to determine the perpendicular line equation?From the question, we have the following parameters that can be used in our computation:
y = 2x - 6
Also, from the question;
We have the following points
Point = (5, 4) i.e. (x, y) = (5, 4)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 2
This means that the slope is 2
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -1/2
The equation of the line is then calculated as
y = m(x - x₁) +y₁
Where
m = -1/2
(x₁, y₁) = (5, 4)
So, we have
y = -1/2(x - 5) + 4
Evaluate
y = -0.5x + 6.5
Hence, the line has an equation of y = -0.5x + 6.5
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A cube is painted so that one face is blue, two faces are red, and three faces are green. How many different such cubes can be painted
There is only one way to paint such a cube, as each face must be a different color. So, the answer is one.
The Importance of Color Variety in Art: A Look at the Possibility of Painting a CubeWhen it comes to creating art, there is no denying the importance of color. It is one of the most powerful tools an artist has at their disposal, as it can be used to convey a wide range of emotions, ideas, and messages. Even a simple object such as a cube can be transformed into a work of art with the right colors. This essay will explore the potential of painting a cube with a variety of colors, and why it's important to use a variety of colors in artwork.
When it comes to painting a cube, one must choose colors that will create a harmonious yet interesting look. The colors should be chosen carefully because they will be the focus of the piece. A cube painted with only one color would be too dull and boring, while a cube painted with an array of colors will make it more visually appealing. To create a successful painting of a cube, one should use colors that contrast and complement each other. For example, a cube can be painted so that one face is blue, two faces are red, and three faces are green.
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One month the store sold 12 electric guitars.If that Was 60% of their sales for the month how many guitars did they sell that month
Answer:
20 guitars
Step-by-step explanation:
since 12 guitars is equivalent to 60% of the sales then you would divide the 12 guitars by .6 to get the total number of guitars sold
12/.6 = 20 guitars
Answer:
the answer is 20 guitars
Step-by-step explanation:
math
I NEED HELP WITH THIS ASAP!!
The equations are ABC and the word stories are 123
The answers are as followed
C and 1
A and 2
B and 3
Hope this helped and have an amazing day :)
-yO mAmA
Answer:
1st story: 3(x+5) = 17
2nd story: 3x+5 = 17
3rd story: 5x+3 = 17
In Exploration 1.2.1 question 9 you were asked to find the
natural domain of k(x)=1(x−4)(x−2).
Which of the following is deemed the strongest answer?
The strongest answer for the natural domain of k(x) = 1/(x-4)(x-2) is that the domain is all real numbers except x = 4 and x = 2.
The function k(x) = 1/(x-4)(x-2) represents a rational function. To determine the natural domain, we need to find the values of x that would make the denominator equal to zero, since division by zero is undefined.
In this case, the denominator consists of two factors, (x-4) and (x-2). Setting each factor equal to zero, we find x = 4 and x = 2. These values would make the denominator zero, leading to undefined results. Therefore, x = 4 and x = 2 are excluded from the domain.
However, for all other real numbers, the denominator will not be zero, and the function will be defined. Hence, the natural domain of k(x) is all real numbers except x = 4 and x = 2. This is considered the strongest answer because it provides a clear and concise description of the domain by specifying the excluded values while including all other real numbers.
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If the area of a square is 25 m2, its perimeter must be
Answer:
20m
Step-by-step explanation:
A=s^2
root 25=s
s=5m
so to find perimeter we will use the formula 4s
P=4×5
P=20m
please mark as brainliest
Answer:
The perimeter of the square must be 20m
Step-by-step explanation:
•Area of a square = side²
25m² = side²
5 m = side (square root)
•Perimeter of a square = 4 x side
4 x 5m
20m
If you ride a bike at the average speed of 30 m/s for 500 seconds how far will you travel
Answer:
depending on the question if it's subtraction Or division
What is the equation of a line that goes through the point (0, -3) and has a slope of -2?
A.y=2x-3
B. y = - 2x - 3
C.-3y - 2x
D. y=-3x - 2
Answer:
b.y=-2x-3
Step-by-step explanation:
the -3 in the point it goes through becomes the y-intercept
What are RQS and TQS?
Answer:
m∠RQS = 72°
m∠TQS = 83°
Step-by-step explanation:
m∠RQS +m ∠TQS = m∠RQT
The two angles combine to make a larger angle
So
m∠RQS = (4x - 20)
m∠TQS = (3x + 14)
(4x - 20) + (3x + 14) = 155
Group the Xs and the constants
4x + 3x - 20 + 14 = 155
Combine like terms
7x - 6 = 155
Add 6 to both sides
7x = 161
Divide by 7 on both sides
x = 23
Check:
4(23) - 20 + 3(23) + 14 = 155
92 - 20 + 69 + 14 = 155
155 = 155
But we need to find m∠RQS and m∠TQS. So plug in x = 23 to the values.
m∠RQS = 4(23) - 20 = 72°
m∠TQS = 3(23) + 14 = 83°
Checking:
72 + 83 = 155
Gustavo applied the distributive property to the expression 9(w+5) . He then used the commutative property.
Drag and drop expressions to the boxes to correctly complete the statements.
The values of the expression after each property are as follows:
Distributive property: 9w + 45.Commutative property: 45 + 9w.Distributive propertyFor the distributive property, the outer term multiplies each of the inner terms of the expression.
In this problem, the expression is:
9(w + 5).
After the distributive property, the expression is represented as follows:
9 x w + 9 x 5 = 9w + 45.
(the outer term 9 multiplies each of the inner terms, of w and 5, and then they are added, due to the plus sign).
Commutative propertyThe commutative property of addition states that the order of the terms of the addition is not important, hence:
9w + 45 = 45 + 9w.
(the two terms just exchanged places).
Missing informationThe problems asks for the algebraic expression after each property is applied.
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Brandon has a rectangular garden. The garden is 24 feet long and 16 feet wide. He wants to increase the size of the
garden by a scale factor of 4. What will be the new length of the garden?
Answer:96
Step-by-step explanation:24•16/4
consider rolling dice and getting a total of 8 which is more likely: rolling a total of 8 when two dice are rolled or rolling a total of 8 when three dice are rolled?
Rolling a total of 8 when two dice are rolled is more likely than rolling a total of 8 when three dice are rolled.
This is because there are more combinations of two dice that can add up to 8 (four combinations; 1-7, 2-6, 3-5, 4-4) than there are combinations of three dice (three combinations; 1-3-4, 2-2-4, 3-3-2).
Therefore, the probability of rolling a total of 8 with two dice is greater than the probability of rolling a total of 8 with three dice.
Additionally, the odds of rolling a total of 8 with two dice can be calculated using the formula (Number of favourable outcomes/Total number of outcomes) x 100%.
In this case, the formula would be (4/36) x 100%, which equals 11.11%. The odds of rolling a total of 8 with three dice is calculated using the same formula, which would be (3/216) x 100%, which equals 1.39%.
This shows that the odds of rolling a total of 8 with two dice is much greater than the odds of rolling a total of 8 with three dice.
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Consider the following initial value problem, defined for t >= 0: dy/dt = t^3 * t, y(0) = 5. a. Find the Laplace transform of the solution. Y(s) = L {y(t)} = b. Obtain the solution y(t). y(t) =
The Laplace transform of the solution. Y(s) = L {y(t)} = (24 / s⁵ + 5) / s and y(t) = 4t³ + t².
Consider the following initial value problem, defined for t ≥ 0: dy/dt = t³t, y(0) = 5.
a. Find the Laplace transform of the solution.
Y(s) = L {y(t)} =b.
Obtain the solution y(t). y(t) =a.
Laplace transform of the solution: First, let's solve the differential equation dy/dt = t³t.
We can rewrite it as dy/dt = t⁴.
Then, we'll take the Laplace transform of both sides.
Using the formula L{y'} = sY(s) - y(0),
we get:
sY(s) - y(0) = L{dy/dt}
= L{t⁴} = 4! / s⁵sY(s) - 5
= 24 / s⁵sY(s)
= 24 / s⁵ + 5Y(s)
= (24 / s⁵ + 5) / s
Therefore, the Laplace transform of the solution is Y(s) = (24 / s⁵ + 5) / s.
b. Solution: To obtain the solution y(t), we'll take the inverse Laplace transform of Y(s).
We can rewrite Y(s) as: Y(s) = (24 / s⁵ + 5) / s = 24 / s⁶ + 5s² / s⁶
By using the formula L⁻¹{1/sⁿ} = tⁿ⁻¹ / (n⁻¹)!, L⁻¹{sⁿ} = tⁿ⁺¹ / (n + 1)!, and L⁻¹{F(s)G(s)} = f(t) * g(t), we can find the inverse Laplace transform of Y(s).L⁻¹{Y(s)} = L⁻¹{24 / s⁶} + L⁻¹{5s² / s⁶}= 4t³ + t².
Therefore, the solution to the initial value problem is y(t) = 4t³ + t².
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Consider the equation below 4(x-4)+6x=14
Answer:
x = 3
Step-by-step explanation:
Given
4(x - 4) + 6x = 14 ← distribute and simplify left side
4x - 16 + 6x = 14
10x - 16 = 14 ( add 16 to both sides )
10x = 30 ( divide both sides by 10 )
x = 3
Write the equation of the line perpendicular to 2x - 6y = 12 that passes through the point (-3,0).
slope intercept: y = 1/3x - 2
Answer:
y = -3x -9
Step-by-step explanation:
slope = 1/3
perpendicular slope = -3
y = mx + b
0 = -3(-3) + b
-9 = b
y = -3x -9
Answer:
y = -3x-9
Step-by-step explanation:
2x - 6y = 12
Solving for y we get
-6y = -2x+12
y = 1/3x -2
The slope is 1/3
Perpendicular lines have slopes that multiply to -1
m * 1/3 = -1
Multiply each side by 3
m * 1/3 * 3 = -1 *3
m = -3
The perpendicular line has a slope of -3
Using the slope intercept form
y = mx+b
y = -3x +b
And the point (-3,0) is substituted into the equation
0 = -3(-3) +b
0 = 9+b
B = -9
y = -3x-9
What is blocking? Why might a researcher want to block? Choose the correct answer below. O A. Blocking is randomizing so that any effects that cannot be identified or controlled are minimized. Blocking removes variability in the response variable due to the blocked variable. O B. Blocking is partitioning the experimental units according to some factor. Blocking removes variability in the response variable due to the blocked variable. O C. Blocking controls the levels so that they remain fixed throughout the experiment. Blocking allows the researcher to obtain a P-value from the explanatory variable. O D. Blocking is partitioning the experimental units according to some factor. Blocking allows the researcher to obtain a P-value from the explanatory variable.
Blocking involves dividing the testing units based on a particular variable. By blocking the variable, the answer variable's variability is eliminated.
B is the right response. Blocking involves dividing the testing units based on a particular variable. By blocking the variable, the answer variable's variability is eliminated.
Blocking is a method in experimental design that is used to lesson the variability in the answer variable caused by some other variable, also known as the blocked variable. The goal of blocking is to divide experimental units into blocks, each of which includes units with a similar relationship to the blocked variable. The units within each block are then randomly given different treatments.
Blocking is used to account for the blocked variable's effects on the response variable so that the true effect of the treatment can be more precisely approximated.
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Find the length of the indicated side.
Hello
DEF and IKL , equilateral =>
DE = 5x-12 = 3x-4
5x-3x= -4+12
2x= 8
x=4
DE = 5x-12 = 20-12 = 8
KL = 3x+24 = 10x+3
24 -3 = 10x-3x
21 = 7x
x= 21/7 = 3
KJ = 10x+3 = 30+3 = 33
Help mehhh on this please pleaseeeee
2 questions to answer. Solve each of the following inequalities, 1. \(\frac{10q+9}{2}\) ≤ \frac{3}{8}\) 2. \(\frac{5(-5s-1)}{6}\) > - \(\frac{9}{5}\) ( negative 9 over 5) representing each solution on a number line.
Answer:
To solve the inequality ≤ \frac{3}{8}, we need to find all the values of x that will make the inequality true. We can start by setting the inequality equal to zero and solving for x.
x ≤ \frac{3}{8}
To graph the solution on a number line, we can use an open circle at \frac{3}{8} to indicate that the value is not included in the solution. So the solution set is: (-∞,3/8)
To solve the inequality > -\frac{9}{5}, we need to find all the values of x that will make the inequality true. We can start by setting the inequality equal to zero and solving for x.
x > -\frac{9}{5}
To graph the solution on a number line, we can use an open circle at -\frac{9}{5} to indicate that the value is not included in the solution. So the solution set is: (-9/5, ∞)
Step-by-step explanation:
An equation is modeled 5x+6= What value of x makes the equation true
A (1)
B (7)
C (-5)
D (-1)
help me solve the blanks pleaseeee
Answer: hi
Step-by-step explanation: