It is not possible to construct a triangle whose sides are 5cm ,5cm and 10cm , because the sum of two sides is not greater then third side .
For any three sides to form a triangle , it should satisfy the condition that , the sum of any two sides should must be greater than the third side .
We apply this condition on the given sides ,
we get ;
the sides of the triangle are ⇒ 5cm ,5cm and 10cm ;
the sum of sides : 5 + 5 = 10 which is not greater than the third side (10cm) ;
these sides do not satisfy the condition ,
Therefore , the condition to form the triangle is not satisfied , so the triangle cannot be constructed .
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What percent of the 6th graders have a pet? Round your answer to the nearest tenth of a percent
Which of the following values are solutions to the inequality -9> -4+5x?
The only value that is a solution of the inequality -9> -4+5x is the first one, x = -5.
Which of the following vales are solutions to the inequality?Here we have the inequality:
-9> -4+5x
And we want to see which of the given values is a solution for that inequality.
The first option is x = -5
Replacing that value we will get:
-9 > -4 + 5*-5
-9 > - 4 - 25
-9 > -29
This is true.
The second option is x = 2
-9> -4+5*2
-9 > -4 + 10
-9 > 6
This is false.
The last option is x = -1
-9 > -4 + 5*-1
-9 > -9
This is false.
Then the only solution is the first one, x = -5.
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what was one important statistic from the regression outputs that you studied this week? which statistic was the hardest for you to interpret and why?
R-squared is an important statistic in regression, it measures how well the model fits the data.
What is regression ?
Regression is a statistical method used to analyze the relationship between one or more independent variables and a dependent variable. It is used to predict the value of the dependent variable based on the values of the independent variables.
One important statistic from the regression outputs is R-squared, it measures how well the model fits the data. It ranges from 0 to 1, and a higher R-squared value indicates a better fit. In other words, it represents the proportion of the variance in the dependent variable that is predictable from the independent variable(s). It can provide an overall measure of how well the model is able to explain the variation in the dependent variable based on the independent variable(s).
The statistic that can be hardest to interpret and why can vary depending on the complexity of the model and the user's level of understanding of statistics. But one statistic that can be challenging for some people to interpret is the p-value, which is used to determine the statistical significance of the coefficients of the model.
R-squared is an important statistic in regression, it measures how well the model fits the data.
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Given that a is an odd multiple of 1183, find the greatest common divisor of 2a^2+29a+65 and a+13
The solution is 26, since gcd (26, a + 13) = 26 when a = 1183k, and k = 1,3,5,7,9...
Let d = [tex](2a^{2} +29a + 65, a+ 13)[/tex]
Now, we can split [tex]2a^{2} + 29a + 65[/tex] in the following way, so that it becomes easier to factorise.
[tex]2a^{2} + 29a + 65 = (2a^{2} + 29a + 39) + 26[/tex]
From this, we can quantify and notice that -13 is one root of this equation, while the other root is -3/2.
Therefore, [tex]2a^{2} + 29a + 39 = (a+13)(2a+3)+26[/tex]
Thus, [tex]d = ((a+13)(2a+3)+26, a+ 13)[/tex]
The greatest common divisor (GCD) of two or more numbers is the greatest common factor number that divides them, exactly. It is also called the highest common factor (HCF).
Now, we can use Euclid's Algorithm.
[tex]= gcd (2a^{2} + 29a + 65, a + 13)\\= gcd (2a^{2} + 29a + 65 - 2a(a+13), a+13)\\= gcd (3a + 65, a + 13)\\= gcd (3a + 65 - 3a(a+13), a+13)\\= gcd (26, a + 13)[/tex]
This is necessarily 1, 2, 13, or 26, which we can see by just looking at the first term. By factoring 1183 and considering that [tex]a[/tex] is an odd multiple, then we should be able to conclude the answer.
Hence, the conclusion is that the solution is 26, since gcd (26, a + 13) = 26 when a = 1183k, and k = 1,3,5,7,9...
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A plane travels 1500 yard before lifting off the ground. If the plane continues on the runway, it is 600 moreyard to the control tower,
which is 198 feet high. Instead, the plane takes flight and travels 603 yards. Which statement is most accurate? (1 yard = 3 feet)
The plane needs to be about 6 yards higher to clear the tower.
The plane clears the tower with about 18 yards to spare.
The plane clears the tower with about 6 yards to spare.
The plane needs to be about 18 yards higher to clear the tower.
Most accurate statement is "The plane clears the tower with about 6 yards to spare". So the option c is correct.
In the given question, a plane travels 1500 yard before lifting off the ground.
If the plane continues on the runway, it is 600 more yard to the control tower, which is 198 feet high.
Instead, the plane takes flight and travels 603 yards.
Initial distance traveled = 1500
Yards to control tower = 600
Height of control tower = 198 feet
Height of control tower = 198×3 yards
Height of control tower = 594 yards
If the airplane's rate of ascent is proportionate to the distance flown, then 1 yard of length equals 1 yard of height achieved.
The height of the plane would be 600 yards after flying 600 yards to the location of the control tower.
So, Difference in height = Height of plane - Height of tower
Difference in height = 600 yards - 594 yards
Difference in height = 6 yards
Hence, most accurate statement is "The plane clears the tower with about 6 yards to spare". So the option c is correct.
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Write an equation in point-slope form of the line that passes through the point (-9, 1) and has a slope of
2/3
Answer:
y-1=2/3(x+9)
Step-by-step explanation:
Sorry cant really explain well but I am positive this is the right answer.
Explain how to solve 5x − 2 = 8 using the change of base formula . include the solution for x in your answer.
The solution to the given exponential equation is 0.791.
What is a logarithm?
The logarithm is the inverse function of exponentiation in mathematics. That is, the exponent to which b must be raised to produce x is the logarithm of a number x to the base b.
Given exponential function is
5x⁻² = 8
Divide both sides by 5:
x⁻² = 8/5
x⁻² = 1.6
Taking logarithm of base x:
[tex]log_x(x^{-2})=log_x1.6[/tex]
-2 [tex]=log_x(1.6)[/tex]
Now applying the logarithm of change of base formula:
-2 = log 1.6/log x
Divide both sides by -2:
1 = log 1.6/( -2log x)
Multiply both sides by log x:
log x = log 1.6/-2
log x = -0.1021
Now applying the formula [tex]log_xa = b[/tex] implies [tex]a = x^b[/tex]:
x = 10^(-0.1021)
x = 0.7905
x = 0.791
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A can contain 12 litre of water. How much can be poured out to leave 4 3/5 of litre
How to put this in vertex form?
The vertex form of equation is discussed below,
What is Vertex form?The vertex form of a quadratic function is f(x) = a(x – h)² + k, where a, h, and k are constants. of the parabola is at (h, k).
As, A parabola has a lowest point if it opens upward.
Additionally, a parabola has a highest point if it opens downward.
The vertex of the parabola is located at this lowest or highest point.
Now, the parent function f(x) = x² has its vertex at the origin.
Also, The vertex form of a quadratic function is
f(x) = a(x – h)² + k, where a, h, and k are constants.
For example, The parent function f(x) = x² is vertically stretched by a
factor of 4/3 and then translated 2 units left and 5 units down.
So, the vertex form : g(x) = 4/3 (x+2)² - 5.
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Use implicit differentiation to find
∂z/∂x and ∂z/∂y.
e^9z = xyz
e6z = xyz, implicit differentiation of the following equation-
What are equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value
To determine the value A statement is not an equation if it has no "equal to" sign.
A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.
According to our question-
Given e6z = xyz
To find ∂z/∂x → consider z as a function of x and take y to be a constant
So differentiating with respect to x, we get
e6z × 6 × ∂z/∂x = z × y + xy × 1 × ∂z/∂x
[using the chain rule on the LHS and the product rule on the RHS]
Factor out the ∂z/∂x:
∂z/∂x [6e6z - xy] = yz
∂z/∂x = yz / [6e6z - xy]
Do the same thing to find ∂z/∂y except consider z to be a function of y and take x to be a constant
Differentiating with respect to y:
e6z × 6 × ∂z/∂y = z × x + xy × 1 × ∂z/∂y
∂z/∂y [6e6z - xy] = xz
∂z/∂y = xz / [6e6z - xy]
Therefore, ∂z/∂x = yz / [6e6z - xy] and ∂z/∂y = xz / [6e6z - xy]
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Write the time 11 hours after 5:00 PM
Answer:
4am, it's 4 am.
A researcher creates a scatter plot that displays the relationship between the number of years in business, x, and the percentage of company business that is fair trade, y. the researcher creates a line of best fit, y=0.091x+0.060, and wants to find the residuals for the companies that have been in business for 3 years.
find the residuals for the two points representing companies that have been in business for 3 years, (3, 0.42) and (3, 0.3).
what is the residual for the company with the point (3, 0.42)?
The residuals for the two points representing companies that have been in business for 3 years, (3, 0.42) and (3, 0.3) are 0.087 and -0.033 respectively.
What is a residual value?We gather data and attempt to fit a line that can most closely resemble how the data is distributed across the coordinate plane. Recall that on a 2D cartesian plane, we have the points (x,y), where x is the abscissa and y is the ordinate.Assuming we are working with 2D data, let's write the best-fit line as y = mx + c, where m is the slope and c is the y-intercept.Now, a prediction is made about where the next data point may be using this line. We obtain the error that the best-fit line produced while predicting the actual data when it is used to predict a data point that already exists."Residual value" is used to gauge this.We assume that the prediction for a data point with ordinate b is y. The residual value is then y - b.Recall that the ordinate of the prediction is ahead of that of the actual data point.Given:
The line of best fit is y = 0.091x+0.060.
The two points representing companies that have been in business for 3 years are (3, 0.42) and (3, 0.3).
The predicted value for the point (3, 0.42) can be calculated as:
= (0.091 × 3) + 0.060
= 0.0273 + 0.060
= 0.333
So, the residual will be:
= 0.42 - 0.333 = 0.087
The predicted value for the point (3, 0.3) is calculated as:
y = 0.091x + 0.060.
= (0.091 × 3) + 0.060.
= 0.333
So, the residual will be:
= 0.3 - 0.333 = -0.033
Hence, the residual for the two points will be 0.087 and -0.333 respectively.
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In a circle with radius 8.5, an angle intercepts an arc of length 38.9. Find the angle in
radians to the nearest 10th.
Answer:
The angle in radians is 4.6.
Note that it is expressed in radians, to convert it to degrees you need to multiply it by 180/π, but it is already rounded to the nearest 10th.
Step-by-step explanation:
To find the angle in radians to the nearest 10th, you need to use the relationship between the length of an arc, the radius of the circle, and the angle of the arc:
arc length = (angle in radians) * (radius)
In this case, the radius of the circle is 8.5 and the arc length is 38.9, so you can substitute these values into the equation:
38.9 = (angle in radians) * (8.5)
To solve for the angle in radians, you need to divide both sides of the equation by the radius:
angle in radians = 38.9 / 8.5
The angle in radians is 4.6.
Note that it is expressed in radians, to convert it to degrees you need to multiply it by 180/π, but it is already rounded to the nearest 10th.
Carly and James share some money in a ratio of 5:3. Carly gets £70 more than James. Work out how much James gets.
James gets 140 pounds.
What is a ratio?
A ratio is a mathematical comparison of two or more values. A ratio can be written in various ways, such as "5 to 3" or "5:3", which means that for every 5 parts, there are 3 parts. Ratios can also be simplified to their lowest form, just like fractions.
In this case, Carly and James share money in a ratio of 5:3, meaning that for every 5 parts of the money that Carly gets, James gets 3 parts. If Carly gets £70 more than James, we can set up the equation as:
x + 70 = 5/8 * x
Where x is the amount James gets.
Solving this equation we get:
x = 140
Hence, James gets 140 pounds.
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HELP QUICk
What is the area of the triangle shown?
Responses
A 24 in2
24 in 2
B 12 in2
12 in 2
C 48 in2
48 in 2
D 36 in2
36 in 2
Question 2
Answer:
the answer is 20 my guy hope this helps
the elisa test is known to have probability 0.05 of producing a false positive result and probability 0.10 of producing a false negative result for a single chicken. a. if no chicken in the flock is infected with the h6n2 virus, what is the probability that the veterinarian will conclude that the h6n2 virus is not present in the flock? show how you found your answer. b. if no chicken in the flock is infected with the h6n2 virus, what is the probability that the veterinarian will conclude that the h6n2 virus is present in the flock? show how you found your answer. c. if every chicken in the flock is infected with the h6n2 virus, what is the probability that the veterinarian will conclude that the h6n2 virus is present in the flock? show how you found your answer. d. if 20 percent of the chickens in the flock are infected with the h6n2 virus and the other 80 percent are not infected, what is the probability that the veterinarian will conclude that the h6n2 virus is present
If no chicken in the flock is infected with the h6n2 virus, the probability that the veterinarian will conclude that the h6n2 virus is not present in the flock
[tex]\left[\begin{array}{ccc}10\\2\\\end{array}\right] * O.O5^2 *0.95^8[/tex]
= 0.98849
Using the answer probability of veterinarian will incorrectly conclude that
h6n2 virus present in the flock
1- 0.98849 =0.1150
veterinarian will incorrectly conclude that h6n2 virus present in the flock least three chicken shows positive result
∑[tex]\left[\begin{array}{ccc}10\\k\\\end{array}\right] 0.90^{k} * 0.10^(10-k)[/tex]
= 1-[tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right] * O.90^0 *0.10^10 +\left[\begin{array}{ccc}10\\1\\\end{array}\right] * O.90^1 *0.10^9 + \left[\begin{array}{ccc}10\\2\\\end{array}\right] * O.90^2 *0.10^8[/tex]
=0.9999996
the probability of randomly selected chicken shows positive result is
P(true positive)*P(infected chicken) +P(false positive)*P(non infected chicken)
= 0.90*0.20 + 0.05*0.80
= 0.22
probability of three chicken shows positive result
[tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right] * O.22^0 *078^10 +\left[\begin{array}{ccc}10\\1\\\end{array}\right] * O.22^1 *0.78^9 + \left[\begin{array}{ccc}10\\2\\\end{array}\right] * O.22^2 *0.78^8[/tex]
=0.38311
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I don’t know how to do this, explanation too please
Find angle x
Answer:
Step-by-step explanation:
You need to know trigonometry for this.\
You can't solve this without a scientific calculator.
TOA means Tan x = Opposite/Adjacent or in this case, 5.1/4.2
tan x = 5.1/4.2
arctant(tanx) = arctan(5.1/4.2)
x = arctan(5.1/4.2)
≈ 50.5°
arctan x is also known as tan inverse x
One week, Manuel worked his regular 40 hours and overtime 5.75 hours. If his regular hourly rate is $15.00 per hour, what is his gross pay for the week if he earns time and a half for overtime?
Answer:
Manuel worked 40 hours * $15.00/hour = $<<40*15=600>>600 for his regular hours.
For his overtime hours, he worked 5.75 hours * $15.00/hour = $86.25
For overtime, he is paid time and a half, which is $15.00/hour * 1.5 = $22.50/hour.
So he was paid 5.75 hours * $22.50/hour = $128.44 for his overtime hours
Therefore, his gross pay for the week is $600 + $128.44 = $728.44
A large school district held a district-wide track meet for all high school students.
for the 2-mile run, the population of female students participating had a mean running time of 8.8 minutes with standard deviation of 3.3 minutes, and the population of male students participating had a mean running time 7.3 minutes with standard deviation of 2.9 minutes.
suppose 8 female students and 8 male students who participated in the 2-mile run are selected at random from each population.
let x-barm represent the sample mean running time for the male students, and let x- barf represent the sample mean running time for the female students. what are the mean and standard deviation of the sampling distribution of the difference in sample means x-barm-x-barf?
a. 0.4 & 4.042.
b. 1.5 & 1.553.
c. 0 -1.5 & 2.413.
d. 1.5 & 2.413.
e. -1.5 & 1.553.
The mean and standard deviation of the sampling distribution of the difference in sample means for 8 female and 8 male students who participated in the 2-mile run is -1.5 minutes and 2.413 minutes, respectively.
The mean of the sampling distribution of the difference in sample means is calculated by subtracting the mean of the female students from the mean of the male students, which is 7.3 - 8.8 = -1.5 minutes.
The standard deviation of the sampling distribution of the difference in sample means is calculated by taking the square root of the sum of the squares of the standard deviations of the two populations, which is sqrt(3.3^2 + 2.9^2) = 2.413 minutes.
Therefore, the mean and standard deviation of the sampling distribution of the difference in sample means is -1.5 minutes and 2.413 minutes, respectively.
The mean and standard deviation of the sampling distribution of the difference in sample means for 8 female and 8 male students who participated in the 2-mile run is -1.5 minutes and 2.413 minutes, respectively.
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−|a+b|2−c when a=135 , b=−2 , and c=−7
Answer:
-1233
Step-by-step explanation:
Step 1.) Plug in the orresponding number to letter
- |135+ -2| 2- -7.
Step 2.) Find absolute value
-| 137 | 2- -7
Step 3.) Solve
-137 × 9
= -1233
help I didn't do this
Answer:
14/3
Step-by-step explanation:
Cross Multiply 6/7 by 4
6/7 x 4/1
= 28/6
Simplify
=14/3
q is directly proportional to q is 76 when r is 20.
work out 9 when r is 45
The direct relantionship model indicates that variable q is equal to 225 / 19 when r is 45.
How to determine the value of a variable in a model that combines direct proportionality
In this problem we must derive an equation based on following relationship:
Variable q is directly proportional to r.
In other words, we have the following direct relationship model that describes well the situation:
q = k · r
Where:
q, r - Variables.k - Constant of proportionality.First, determine the constant of proportionality:
k = q / r
k = 76 / 20
k = 19 / 5
Second, calculate the variable r is:
q = r / k
q = 45 / (19 / 5)
q = 225 / 19
RemarkThe statement presents several typing mistakes, correct form is introduced below:
q is directly proportional to r is 76 when r is 20.
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(3 points) To the appropriate number of significant figures, if the density of the metal cube is 2.3 x 10-3 kilograms/microliters, what is the length of one side of a cube if the mass is 88 milligrams
if the density of the metal cube is 2.3 x 10⁻³ kilograms/micro liters, 2968 cm. is the length of one side of a cube if the mass is 88 milligrams
What is significant figure?The amount of digits that contribute to the correctness of a value—often a measurement—are known as significant figures. The first digit that is non-zero is where we begin counting significant figures.
The number of significant single digits (0 through 9 inclusive) in an expression's coefficient is referred to as the significant figures in scientific notation. The amount of accuracy or assurance an expert or scientist uses to state a quantity is indicated by the number of significant figures in a statement.
The given mass of the metal cube is 2.3 × 10⁻³kg/micro-liters or 2300000 gm/liter
The density of the metal cube is 88 mg or 0.088 gm.
Now, we know that density, d = mass/volume.
So, volume of the metal cube,
V = mass/density
V = (2300000/0.088)
V = 26136363.7 L
Now, we know that volume of a cube is a³ where a is the length of a side of the cube. So, a³ = 26136363.7 L or 26136363.7 dm³.
So, a = 296.8 dm or 2968 cm.
So, the length of one side of the cube is 2968 cm.
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Check all that are equivalent to 256. 28 44 162 1282
2^8, 4^4 and 16^2 are equivalent to 256. We can find this out by using the concept of Factors.
Factors are numbers or algebraic expressions that divide another number of expression without leaving a remainder.
In the question, the number given is 256.
Options are: 2^8, 4^4, 16^2, and 128^2
We will break down all the numbers into the product of their factors and using multiplication, we will verify if they are equivalent to 256 or not.
2^8 = 2*2*2*2*2*2*2*2 = 256
4^4= 4*4*4*4 = 256
16^2= 16*16 = 256
128^2 = 128*128 = 16384
As we can observe, only 128^2 is not equivalent to 256.
Therefore, 2^8, 4^4 and 16^2 are equivalent to 256.
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Please help !!
Given: C is the midpoint of NB; C is the midpoint of MA
Prove: ABC is congruent to NMC
STATEMENTS
Check the picture below.
(07.04 mc) what is the general solution to the differential equation dy over dx equals x times y plus 3 times x question mark
The general solution of dy over dx equals x times y plus 3 times x question is [tex]y=e^{\frac{x^{2} }{2} +c_{1}} -3[/tex]
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
The given differential equation is dy over dx equals x times y plus 3 times x question
dy/dx=xy+3x
dy/dx=x(y+3)
dy/dx-x(y+3)=0
Solve seperable ODE
[tex]y=e^{\frac{x^{2} }{2} +c_{1}} -3[/tex]
Hence, the general solution of dy over dx equals x times y plus 3 times x question is [tex]y=e^{\frac{x^{2} }{2} +c_{1}} -3[/tex]
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What kind of triangle is formed when the lengths of the sides are 6cm 8cm and 10cm?
A triangle with the lengths of the sides 6cm , 8cm , and 10cm is a right angled triangle using Pythagoras theorem.
As given in the question,
In the given triangle,
lengths of the sides of the triangle is given by :
6cm , 8cm , and 10cm
In the given measurement longest side is 10cm.
Using Pythagoras theorem :
( Hypotenuse ) ² = (Base)² + ( Altitude)²
Here
( 6 )² + ( 8 )²
= 36 + 64
= 100
= 10²
It satisfy the condition of Pythagoras theorem.
It is a right angled triangle with hypotenuse = 6cm.
Therefore, the given lengths of the sides of the triangle represents it is a right angled triangle.
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of the students in barbara's class, 2/5 have a pet cat. of the students who have a cat, 3/4 also have a dog. what fraction of the students in barbara's class have both a cat and a dog? write your answer as a fraction or as a whole or mixed number.
23/20 students in barbara's class have both a cat and a dog.
In mathematics, a fraction is used to denote a portion or component of the total. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.
Given that,
The number of students in barbara's class having a pet cat = 2/5
The number of students in barbara's class having a pet dog = 3/4
Thus, the fraction of the students in barbara's class have both a cat and a dog = 2/5+3/4 = 8+15/20= 23/20
Hence, 23/20 students in barbara's class have both a cat and a dog.
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malia bought a block of wax to make candles. she used 3.5 pounds of the wax to make vanilla-scented candles and has less than 5 pounds of wax left to make orange-scented candles. let x represent the weight of the block of wax originally. which inequality describes the problem?
The required inequality describes for the given problem is x < 8.5.
What is inequality?The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.
According o question:she used 3.5 pounds of the wax to make vanilla-scented candles and has less than 5 pounds of wax left to make orange-scented candles.
let x represent the weight of the block of wax originally
then,inequality can be written as,
x - 3.5 < 5
x < 8.5
Thus, required inequality is x < 8.5.
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Question 3 of 15
What value(s) of x will make x² = 16 true?
Ο Α. 2
OB. 4 and -4
C. 4 only
OD. 6 and -6
4
SUBMIT
The value(s) of x will make x² = 16 true are 4 and -4.
B. is the answer
How to determine the value(s) of x that will make x² = 16 true?
An algebraic equation is when two expressions are set equal to each other, and at least one variable is included
The values of x that will make x² = 16 true are -4 and 4.
x² = 16 can be written as follows:
x² = 16
x = ±√16
x = ± 4
x = 4 or -4
This because the square of 4 is 16 i.e. 4² = 16. Likewise the square of -4 is 16 i.e. (-4)².
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