square root of X =12 has how many solutions
Answers
Given:
The equation is:
\(\sqrt{x}=12\)
To find:
The number of solutions.
Solution:
We have,
\(\sqrt{x}=12\)
Taking square on both sides, we get
\((\sqrt{x})^2=12^2\)
\(x=144\)
Therefore, the given equation equation has exactly one solution, i.e., 144.
Related Questions
Sheila had some money in her
wallet. After she spent $12, she
had $9 left. (Use m as a
variable.)
Answers
a=3
Check Answer: 12-3=9
Determine the number of degrees in these arcs?
Answers
a.
Let's call the intersection point of the chords M.
In order to calculate the arc AB, we can use the following property:
\(\angle AMB=\frac{AB+CD}{2}\)Since ∠AMB is 86° and CD = 30°, we have:
\(\begin{gathered} 86=\frac{AB+30}{2} \\ AB+30=172 \\ AB=172-30 \\ AB=142\degree \end{gathered}\)b.
In order to find DC, let's use the same formula, with ∠AMB = 86° and AB = 135°:
\(\begin{gathered} 86=\frac{135+DC}{2} \\ 135+DC=172 \\ DC=172-135 \\ DC=37\degree \end{gathered}\)The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -8 < x < -3
Answers
Average rate of change of the function is [f(-3) - f(-8)] / 5.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
We have to find the average rate of change of the function f(x) on the interval -8 < x < -3.
Average rate of change of a function y = f(x) on an interval [a, b] is,
Average rate of change = [f(b) - f(a)] / [b - a]
Here a = -8 and b = -3.
Average rate of change = [f(-3) - f(-8)] / [-3 - -8]
= [f(-3) - f(-8)] / 5
We have to find the value of y when x = -3 and x = -8 and substitute in the equation.
Hence [f(-3) - f(-8)] / 5 is the average rate of change of function.
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Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x? A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the left. A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the right. A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the left. A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the right.
Answers
Answer:
Graph C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I did the asignment and got it right
PLEASE HELP ME WITH BOTH QUESTIONS ASAP!!!!!!!!!
Answers
Answer:
I have #1, answer is 400
Step-by-step explanation:
80% of 500 is 400
Answer:
First one is 400
Step-by-step explanation:
What is the greatest common factor of 18 and 60? * A.12 B. 3 C.6 D.18
Answers
Answer:6
18 as a product of its prime factors is 2*3*3 while 60 is 2*2*3*5 therefore considering common factors between both numbers we can see that there's one pair of two visible in both products and one pair of three we multiply both of these common values to get the final gcf which is 3*2=6
The distances between the bull's-eye of a target and 100 darts thrown by an expert
Answers
!!! 25 points!!! Which statement is supported by the cell theory?
A. All animal cells are the same size.
B. All plant cells are the same shape.
C. Similar organisms all have the same number of cells.
D. Cells are the primary unit of structure in living organisms.
Answers
Answer:
Its D
Step-by-step explanation:
All the other answers doesn't make sense and cells is what makes up your body
Your answer is going to be d
In AVWX, v = 64 cm, w = 18 cm and x=63
cm. Find the measure of ZW to the
nearest degree.
Answers
Answer:
The answer is 1230cm square
The mean June midday temperature in Desertville is 36°C and the standard deviation is 3°C.Assuming this data is normally distributed, how many days in June would you expect the midday temperature to be between 39°C and 42°C?
Answers
Answer:
The value is \(E(X) = 4 \ days\)
Step-by-step explanation:
From the question we are told that
The mean is \(\mu = 36^oC\)
The standard deviation \(\sigma = 3^oC\)
Generally the probability that in June , the midday temperature is between
39°C and 42°C is mathematically represented as
\(P(39 < X < 42) = P(\frac{39 - 36}{3} < \frac{X - \mu }{\sigma} < (\frac{42 - 36}{3} )\)
\(\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )\)
\(P(39 < X < 42) = P(1 < Z <2 )\)
=> \(P(39 < X < 42) = P(Z < 2) - P( Z <1 )\)
From the z table the area under the normal curve to the left corresponding to 1 and 2 is
P(Z < 2) = 0.97725
and
P(Z < 1) = 0.84134
\(P(39 < X < 42) = 0.97725 - 0.84134\)
=> \(P(39 < X < 42) = 0.13591\)
Generally number of days in June would you expect the midday temperature to be between 39°C and 42°C
\(E(X) = n * P(39 < X 42 )\)
Here n is the number of days in June which is n = 30
\(E(X) = 30 * 0.13591\)
=> \(E(X) = 4 \ days\)
Could you [please help me with the question in the screenshot thank you
Answers
The bias of the estimator is 1/45, so correct option is A.
Describe Proportion?In mathematics, a proportion is a statement that two ratios are equal. A ratio is a comparison of two quantities, expressed as a fraction or a division of one quantity by another.
For example, the proportion "a/b = c/d" means that the ratio of a to b is equal to the ratio of c to d. This can also be written as "a : b = c : d", where the colon (:) represents the ratio symbol.
Proportions can be used to solve a variety of problems, such as finding unknown quantities in a ratio or comparing quantities that have different units. For instance, if a recipe calls for 2 cups of flour for every 3 cups of water, we can use proportions to determine how much flour and water we need if we want to make a larger or smaller batch.
The estimator for the true proportion of residents in support of the bypass road construction is given by:
p = (X + √2025/2) / 2025
We can see that this estimator involves adding √2025/2 to X, and then dividing the sum by 2025. Since √2025 = 45, we can simplify the estimator as:
p = (X + 45/2) / 2025
Now, we can find the expected value of the estimator:
E[p] = E[(X + 45/2) / 2025]
= (E[X] + 45/2) / 2025
To find the bias of the estimator, we need to compare its expected value to the true value of the parameter being estimated. Since we are estimating the proportion of residents in support of the bypass road construction, the true value of the parameter is the population proportion, denoted by p.
If the estimator is unbiased, then its expected value must equal the true value of the parameter, i.e., E[p] = p. Therefore, we have:
E[p] = (E[X] + 45/2) / 2025 = p
Solving for E[X], we get:
E[X] = 2025p - 45/2
Thus, the bias of the estimator is:
Bias[p] = E[p] - p
= (E[X] + 45/2) / 2025 - p
= [(2025p - 45/2) + 45/2] / 2025 - p
= (2025p - p) / 2025
= 44/2 x 2025
= 1/45
Therefore, the bias of the estimator is 1/45. Answer: A.
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The bias of the estimator is 1/45. The appropriate choise for the posed query is option (a).
What is proportion?In mathematics, a proportion is the assertion that both ratios are equal. A ratio is the division of one quantity by another or the comparison of two quantities given as a fraction.
The ratio "a/b = c/d," for instance, denotes that the ratio of a to b is equivalent to the ratio of c to d. This can also be expressed as "a: b = c: d," where the ratio sign is denoted by the colon (:).
Numerous issues can be resolved using proportions, like comparing amounts with various units or locating unknown values in a ratio. For instance, we may use proportions to calculate the amount of flour and water needed to make a larger or smaller batch of a recipe if it calls for 2 cups of flour and 3 cups of water.
The estimator for the actual percentage of residents in favour of building the bypass route is provided by:
p = (X + √2025/2) / 2025
As we can see, this estimator multiplies X by 2025/2 before dividing the result by 2025.
Since √2025 = 45, The estimator may be distilled down to:
p = (X + 45/2) / 2025
We can now determine the estimator's expected value:
E[p] = E[(X + 45/2) / 2025]
= (E[X] + 45/2) / 2025
We must contrast the estimator's expected value with the actual value of the parameter being estimated in order to determine its bias. The population proportion, given by p, is the genuine value of the parameter because we are calculating the percentage of residents who support the construction of the bypass route.
If the estimator is impartial, then its predicted value must match the parameter's true value, or E[p] = p. As a result, we have:
E[p] = (E[X] + 45/2) / 2025 = p
Solving for E[X], we get:
E[X] = 2025p - 45/2
As a result, the estimator's bias is:
Bias[p] = E[p] - p
= (E[X] + 45/2) / 2025 - p
= [(2025p - 45/2) + 45/2] / 2025 - p
= (2025p - p) / 2025
= 44/2 x 2025
= 1/45
As a result, the estimator's bias is 1/45. Answer: A.
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Amadi is three times as old as Chima. The sum of their ages is 24
Answers
Answer:
Amadi: 20 years old
Chima : 4 years old
Explain why it is not possible to simplify 3⁸ x 2⁵
Answers
Answer:
because 2 and 3 are all prime factors
Step-by-step explanation:
Type the first 2 terms of the geometric sequence having a1= 2 r= 4 Type in this way: n= 1, 2
Answers
Answer:
a1 = 2 a2 = 8
Step-by-step explanation:
Geometric sequence general formula is
An=a1(r)^n-1
Let's just plug in the a1 and r into the formula
An=2(4)^n-1
So you can now calculate any terms by just plugin in n
a1 = 2(4)^0 = 2
a2 = 2(4)^1 = 8
a3 = 2(4)^2 = 32
a4 = 2(4)^3 = 128
What is 75% as a fraction
Answers
Answer:
\(\frac{75}{100}\)
Step-by-step explanation:
75 percent is 3/4 of 100 percent.
a larger gear wheel has 40 teeth and a small gear wheel has 25 teeth. if the larger one makes 100 revolutions in a minute, how many revolutions does the smaller one make?
Answers
so the gear ratio will be 1.6 it simply means dat if u rotate large gears one full revolution it tends to turn another short wheel to 1.6 revs, so in ur qtion the large whell revs 100 den u must multiply wid 1.6*100= 160 revs
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What is the range of the function on the graph?
O all the real numbers
O
all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
O all the real numbers greater than or equal to -3
Save and Frit
Answers
The range of the function on the graph would be: D. all real numbers greater than or equal to 2
How to calculate the function rangeTo obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.
So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.
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In the figure, m1-m22-22 and m23-m24-123. From this, you can conclude that mZTSK-
45.
33.
35.
Answers
The measure of angle TSK is given as follows:
m < TSK = 35º.
How to obtain the measure of angle TSK?On a triangle, the sum of the measures of the internal angles is of 180º.
For triangle TSK, the internal angle measures are given as follows:
m < 1 = 22.m < 3 = 123º.m < TSK.Then the measure of angle TSK is obtained as follows:
m < TSK + 22 + 123 = 180
m < TSK = 180 - 145
m < TSK = 35º.
Meaning that the last option is correct.
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Find the area of the circle. around to the nearest tenth.
Answers
Answer:
1384.7
Step-by-step explanation:
42/2 21^2x3.14=1384.74
Hope this Helps :)
In the making of ball bearings, diameters vary from one bearing to the next because of minor variations in the
manufacturing process. The diameter of the ball bearings varies according to a distribution that is approximately Normal
with mean 11.5 mm and standard deviation 0.05 mm. Two ball bearings are randomly selected. Find the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm.
Answers
On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
he diameter of the ball bearings varies according to a distribution that is approximately Normal
mean 11.5 mm and standard deviation 0.05 mm
the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm
Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%
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some adults and children are watching a musical there are n children there are 25 fewer adults
Answers
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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Fill in the missing statements and reasons for the proof. Given ∠2 ≅ ∠3 proof ∠1 ≅ ∠4
Answers
The proof is given as follows:
∠1 ≅ ∠2 - Vertical Angles are ≅∠2 ≅ 3 - Given∠3 ≅4 - Vertical Angles are ≅Thus, ∠1 ≅ 4 Transitive properties.What are transitive properties?The transitive property argues that "if two quantities are equal to the third quantity, then we may claim that all the quantities are equal to one other".
The term transitive refers to a transfer. If there are three quantities a, b, and c, and if an is connected to b by some rule and b is related to c by the same method, then a and c are related to each other by the same rule; this property is known as the transitive property of equality.
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The figure below is a net for a cube.
Answers
The surface area of the cube given in the above diagram would be = 1922.46 in².
How to calculate the surface area of the diagram?To calculate the surface area of the cube, the formula that should be used would be given below as follows:
Surface area of cube = 6(a)²
a = side length= 17.9
SA=6(17.9)²
= 6×320.41
= 1,922.46 in²
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The measure of What is m
Answers
A number when rounded to 3 decimal places, is equal to
0.029
Find the upper and lower bound of
The number
Answers
Two machines just completed projects at the same time. Machine A completes a project every 5.5 minutes. Machine B completes a project every 5.25 minutes. How long will it be until both machines complete a project at the same time?
Answers
It would take 2.69 minutes for both machines to complete the project at the same time
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
Machine A completes a project every 5.5 minutes. Machine B completes a project every 5.25 minutes.
Let t represent time it would take both machines to complete the project, hence:
(1/5.5 + 1/5.25)t = 1
86t/231 = 1
t = 2.69 minutes
It would take 2.69 minutes to complete
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In ΔUVW, u = 76 inches, w = 71 inches and ∠W=69°. Find all possible values of ∠U, to the nearest degree.
Answers
The value of the angle U from the calculation is 88 degrees.
How do you solve a triangle?The sine rule can be applied in a variety of situations, such as determining a triangle's unknown side lengths or angles. The sine rule can be used to locate the missing side or angle if you know the lengths of two sides and the measure of an angle (not necessarily the included angle).
By the use of the sine rule;
u/Sin U = w/Sin W
Thus;
76/Sin U = 71/Sin 69
Sin U = 76Sin 69/71
U = Sin-1 (76Sin 69/71)
U = 88 degrees
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In 2012, the yearly cost to attend a college was $1,980.50. The collegepredicts the yearly cost will increase by $130 each year after 2012. Inwhat year will the tuition and fees first exceed $2,500?A 2015B. 2016C. 2017D. 2018
Answers
Answer:
B. 2016
Explanation:
The yearly cost to attend a college x years after 2012 can be calculated as:
y = 1980.50 + 130x
Because the cost will increase 130 each year after 2012.
So, we want to know the value of x such that the yearly cost y is greater than 2,500. Therefore, we can write the following equation:
\(\begin{gathered} y>2500 \\ 1980.5+130x>2500 \end{gathered}\)So, solving for x, we get:
\(\begin{gathered} 1980.5+130x-1980.5>2500-1980.5 \\ 130x>519.5 \\ \frac{130x}{130}>\frac{519.5}{130} \\ x>3.99 \end{gathered}\)It means that 4 years after 2012, the cost will exceed $2,500.
Therefore, 4 years after 2012 is 2016.
the partial circle has a radius of 11 inches
What is the area of this figure? ANSWER ASAP
Answers
Answer:
285.1 in.²
Step-by-step explanation:
The circle is a ¾ circle.
Area of the figure = ¾(πr²)
Radius (r) = 11 in.
Plug in the value
Area = ¾(π*11²)
Area = ¾(π*121)
Area = 285.099533 ≈ 285.1 in.² (nearest tenth)
Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The results are shown in the table below. Highest Level of Education Completed Education Level Percentage High School 5% Community College 10% Four-Year College 60% Graduate School 25% Two-hundred sixty people completed the survey. How many of those people completed graduate school?
Answers
Answer: 65 people completed graduate school.
Step-by-step explanation:
25% of 260 is 65.
Answer:
is 65
Step-by-step explanation:
Got 26 wrong on test