Answer: 0.75
Step-by-step explanation:
The two square roots of 9/4 is [tex]3/2[/tex].
It is required to find the two square roots of 9/4.
What is square root?A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.
Solution:
Using the principal square root:
[tex]\sqrt{9/4} \\\\=3/2[/tex] and [tex]3/2[/tex].
Hence, the two square roots of 9/4 is [tex]3/2[/tex].
Learn more about square roots here:
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1. Evaluate the following:
a) 249 =
b) - 100
c) 10 + 7169
Answer:
a) 249 = 249 or 2.49 × 10²
b) - 100 = - (10)²
c) 10 + 7169 = 7179
Step-by-step explanation:
please solve this question..
Answer:
vertex = (- 1, - 4.5 )
Step-by-step explanation:
Given
f(x) = [tex]\frac{1}{2}[/tex] (x - 2)(x + 4)
The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.
To find the zeros let f(x) = 0, that is
[tex]\frac{1}{2}[/tex] (x - 2)(x + 4) = 0
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 4 = 0 ⇒ x = - 4
The x- coordinate of the vertex is therefore
x = [tex]\frac{-4+2}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1
Substitute x = - 1 into f(x) for corresponding y- coordinate
f(- 1) = [tex]\frac{1}{2}[/tex] (- 1 - 2)(- 1 + 4) = [tex]\frac{1}{2}[/tex] × - 3 × 3 = 0.5 × - 9 = - 4.5
Coordinates of vertex = (- 1, - 4.5 )
calculate the M.A.D WILL BRAINLIST
Answer:
24/760/7Step-by-step explanation:
For the first dataset ...
d1 = {20, 22, 24, 28, 29, 29, 30}
The deviations from the mean of 26 are ...
d1 -mean(d1) = {-6, -4, -2, 2, 3, 3, 4}
so the total of the absolute values of these is 24. Since there are 7 numbers, the mean of the absolute deviations is ...
mad = 24/7
__
For the second dataset ...
d2 = {12, 15, 21, 30, 33, 35, 36}
The deviations from the mean of 26 are ...
d2 -mean(d2) = {-14, -11, -5, 4, 7, 9, 10}
so the total of the absolute values of these is 60. Again, there are 7 numbers, so the mean of the absolute deviations is ...
mad = 60/7
A coffee stand sells cups of coffee for $6 and cups of tea for $3. Tuesday a total of 75 cups were sold and the total money collected was $312. How many cups of coffee and how many cups of tea were sold
Answer:
46 Teas and 29 Coffees
Step-by-step explanation:
46×3= 138
29×6= 174
174+138=312
The Lions won 35 out of 40 games this season. What fraction of the games did the Lions win?Write your answer in simplest form.___________________________________
Answer:
7/8
Step-by-step explanation:
Answer:
7/8
Step-by-step explanation:
Divide common factors from both the numerator and denominator. Divide 5 from both top and bottom:
(35/40)/(5/5) = 7/8
7/8 is your answer.
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Researchers randomly divide participants into groups. Each group takes a different amount of omega-3 fatty acid supplements daily for a month. One group receives a placebo. The researchers measure the impact on cholesterol levels in the blood. What is the purpose of random assignment in this experiment
Answer:
To increase the accuracy of the research results and prevent skewness in the data
Step-by-step explanation:
Random assignment is a measure taken in experiments to ensure that there is no pattern in the qualities of individuals chosen for the study. This would ensure that any results obtained from the experiment can be rightly attributed to the research treatments and not to any other factor. It helps to eliminate bias in choosing the participants of the study. The researcher randomly assigns subjects to the treatment and control groups.
In the experiment described above, random assignment is necessary as it would ensure that participants do not have shared characteristics which could be a possible cause of the results obtained from the study and not the omega-3 fatty acid supplements administered.
the number of hours you work in a week.
Answer:56 hours a week is what you have to work 8 hours a day 7 days a week
The shortest known adult women is about 24 inches tall and tallest known adult woman is about 92 inches tall. write an absolute value equation that represents the minimum and maximum Heights. Use x to represent the heights.
Answer:
jndkjebfjkbwejhfdkfkdsjjdsf
Step-by-step explanation:
fjdshfshdgfjahnd
Find
-/16. (4 points)
a
-4
ob
4
Ос
+4
Od
-8
Answer:
4i
Step-by-step explanation:
I hope its not too complicated
[tex]\sqrt{-16} \\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{-a}=\sqrt{-1}\sqrt{a}\\\\\sqrt{-16}=\sqrt{-1}\sqrt{16}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\=\sqrt{16}i\\\\\sqrt{16}=4\\\\=4i[/tex]
The ratio of the width to the length of a rectangle is 1:3. Which of the following ratios represents a rectangle with:______.
a) 5:7.
b) 6:9.
c) 33:100.
d) 21:63.
The question is incomplete. Here is the complete question
The ratio of the width to the length of a rectangle is 1:3. Which of the following ratios represents a rectangle with this same ratio?
Answer:
21:63
Step-by-step explanation:
The ratio of the width to the rectangle is 1:3
= 1/3
= 0.333333
From the options given we have the following ratios
=5:7
= 5/7
= 0.71428
= 6:9
= 6/9
= 0.666666
= 33:100
= 33/100
= 0.33
= 21:63
= 21/63
= 0.3333333
Hence the ratio which represents the rectangle given above is 21:63
2x-2 ???????????????????????????????????????????????????
Solve | | 2x + 5 | – 3 | = 8
Evaluate x^3– y^2 if x = 2 and y= 3/4
Answer:
2³-3/4²
Step-by-step explanation:
A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a period of three months.) The increase in production can be modeled by the equation y = x6 − 25x4 + 199x2, where x is the number of quarters. What is the minimum duration required for the company to reach a production capacity of 4,975 units?
Answer:
5 months
Step-by-step explanation:
We assume that y represents production capacity, rather than increase in production capacity. Then we want to solve the 6th-degree equation ...
x^6 -25x^4 +199x^2 -4975 = 0
This can be factored in groups as ...
x^4(x^2 -25) + 199(x^2 -25) = 0
(x^4 +199)(x^2 -25) = 0
This has 4 complex solutions and 2 real solutions.
x^2 = 25
x = ±5
The duration required for capacity to reach 4975 units is 5 months.
write two and six hundreds nineteen thousandths in decimal.
Answer:
Easy .2619
Step-by-step explanation:
hope it helped
solve for x
[tex] - 6x + 14 = 32 - 4x[/tex]
how do I solve
Answer:
x = -9
Step-by-step explanation:
add 4x to both sides of the equal sign so then you'd have -2x + 14 = 32
then subtract 14 from both sides to where you have -2x = 18
then divide both sides by -2 and get x= -9
Write the expression in the standard form a+b i
(8-8i) + (1+6i )= (simplify the answer)
Answer:
Step-by-step explanation:
(8 - 8i) + (1 + 6i)
8 + 1 - 8i + 6i
9 - 2i
Your friend says the solution to the inequality 6X -12X is greater than or equal to -18 are x greater than or equal to 3. Solve the inequality correctly. What air did your friend make?
Can you help me understand all this...
1.1,-0.1,-1.3,-2.5,-3.7,-4.9,-6.1,-7.3
Answer:
Su diferencia es -1.2
Step-by-step explanation:
Analizando la jerarquía de los números esta va de ascendente (mayor) a decendente (menor).
Como se puede ver tu primer número es 1.1 y el que le sigue es -0.1, ahí se podría hacer la primera ecuación que es una resta de números 1.1-0.1=1.2. Vamos a retomar el segundo valor y poner el resultado que nos dio al principio (recordando la ley de los signos:negativo más negativo, pues se suman pero el signo negativo estará presente ahí), para tener sentido aquí hay una explicación.
-0.1-1.2=-1.3 y lo mismo hacemos -1.3-1.2=-2.5
Which y values are represented on the the graph below?
Answer:
The value is of y is 1 . please follow me I will give u more answer
The range of the line segment will be - 3 ≤ y ≤ 3. Then the correct option is A.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
From the graph, the maximum value of the line segment will be 3 and the minimum value of the line segment will be negative 3. Then the range can be given as,
R = [-3, 3]
- 3 ≤ y ≤ 3
The range of the line segment will be - 3 ≤ y ≤ 3. Then the correct option is A.
More about the domain and range link is given below.
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A number n minus 10 is no more than 25.
Answer: n - 10 ≤ 25
Step-by-step explanation:
Let A (10, 11, 12, 13 and B (a, b, c, d) Let g be a function from A to B defined by f(10, a), (11,a), (12, b), (13,b)) What is the inverse image of d?
Answer:
d does not have an inverse image
Step-by-step explanation:
From the question we are told that
The first set is A (10, 11, 12, 13 )
The second set is B (a, b, c, d)
The function that from A to B is f(10, a), (11,a), (12, b), (13,b))
Generally for a function defined by (x,y), y is the image of x while x is the inverse image of y
Now considering the function we are given and the value d we see that and inverse image is not defined for d in the function
hence d does not have an inverse image
a deer stands cast a shadow 15 feet long at the same time that a 4-foot-tall casts a shadow that is 6feet long. how tall is the deer stand
Answer:
10 feet
Step-by-step explanation:
i took the test
Question 1
4 pts
Three researchers studying the behavior of moose at Isle Royale National Park in Lake Superior collect the
following information about 13 moose near their research station:
• Each moose's gender.
• Each moose's height measured in inches.
• How many hours each moose spends in the water each day.
An estimate of the average total weight of food eaten per day by each moose.
Which of the following best describes the individuals and variables that are being measured?
.
The three researchers are the individuals. There is one categorical variable and four quantitative variables,
The three researchers are the individuals. There are four categorical variables and one quantitative variable.
The 13 moose are the individuals. There is one categorical variable and four quantitative variables.
The 13 moose are the individuals. There are four categorical variables and one quantitative variable.
Next
The correct answer is C. The 13 moose are the individuals. There is one categorical variable and four quantitative variables.
Explanation:
In research, the individuals refer to the participants or population that is being analyzed. For example, if the purpose of the research is to know how many hours highschool students sleep, the individuals are high school students. In this context, the individual or population of this study ae the 13 moose.
Moreover, this research focuses on different variables such as gender, height, the number of hours each moose spends in the water, the weigh of the food eaten on average by each moose, and the average weight of food eaten every day. From these variables, the last four variables are quantitative because they can be measured using numbers, for example, the height is measured in inches. On the other hand, the first variable is categorical because each moose can be classified in only two categories: male or female.
An angle measuring 3.6 radians is drawn in standard position?
In what quadrant will the terminal side of this angle lie?
Express your answer as a Roman numeral.
Answer:
III
Step-by-step explanation: I just took the quiz
At least one of the numbers must be 0.
1. none
2. Hypothesis
3. Conclusion
Answer:
The answer is 1.) None
Step-by-step explanation:
Hope this helps you :)
arts and crafts shop has a bolt of crimson velvet 32 M long a customer came in during the morning and bought 120cm of the velvet another customer bought an additional meters during the afternoon how much Crimson velvet does Malik shop have left write the answer in centimeters
Answer:
2760
Step-by-step explanation:
I really don't know I just did 32x120
Which subset does 22 belong in
i will give u brainlyist plz When 1/3 is written as a repeating decimal, which digits are repeating? A. 27 B. 37 C. 73 D. 28
Answer:
1/3 in decimal format is .333333333333... so none of these are correct
What is the slope of the line that passes through the points (-2,8) and (-22,8)? Write your answer in simplest from
Answer:
[tex]\boxed{\tt m=0}[/tex]
Step-by-step explanation:
The slope formula is:
[tex]m=\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]
where (x₁, y₁) and (x₂,y₂) are the points on the line.
The points given are (-2,8) and (-22,8). Therefore,
[tex]x_{1}=-2\\y_{1}=8\\x_2=-22\\y_2=8[/tex]
Substitute the values into the formula.
[tex]m=\frac{8-8}{-22--2}[/tex]
Solve the numerator. Subtract 8 from 8.
[tex]m=\frac{0}{-22+2}[/tex]
Zero divided by any number is zero, so we automatically know the slope is zero.
[tex]m=0[/tex]
The slope of the line is 0
Answer: 0
Step-by-step explanation:
To find the slope, you need to use the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. You use the given points to plug in and solve.
[tex]m=\frac{8-8}{-22-(-2)} =\frac{0}{-20}=0[/tex]
Now, we know that the slope is 0 meaning this is a horizontal line.