Which number completes the inequality?
negative 5. 13 less-than blank less-than negative 4. 8
The answer is 5.1 completes the inequality.
What are inequalities?.You may use the inequalities to solve almost any inequality or set of inequalities using just one variable. You can usually find precise answers.To provide you with approximate solutions to practically any level of accuracy you require, even when this is not possible.Additionally, you can display the regions that satisfy one or more inequalities between two variables to clearly observe where those regions cross.The Plot command, from the Graphs section, will plot any inequality involving two variables. In order to plot the region satisfied by a single inequality involving x and y, go to the basic inequality plotting page, where you can enter the inequality and specify the upper and lower limits on x and y that you want the graph to be plotted for.The advanced inequality plotting page allows you to plot the union or intersection of up to 8 regions on the one graph. You have control over such things as whether or not to show the axes, where the axes should be located and what the aspect ratio of the plot should be. In addition, you have the option of showing each individual region.
Hence, The answer is 5.1 completes the inequality.
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Is the dilation an enlargement or a reduction? What is the scale factor of the dilation?
O reduction; 1/2
O enlargement; 2
Oreduction; 2
O enlargement;
1/2
Answer:
enlargement ; 2
Step-by-step explanation:
dilation is change in the size of the figure.
in the given scenario, figure's size is increasing so dilation is called enlargement and scale factor must be greater than 1.
scale factor = dimension of new shape / dimension of original shape
let's calculate the difference in terms of boxes of both figures to calculate the scale factor,
scale factor = 6/3
thus, in the given dilation we have enlargement of 2
The distance between two lines measured along a perpendicular line to the line is always the same.
Answer:
the same
Step-by-step explanation:
perprendicular lines never touch
L. (4, 7); y = 3x + 6
y = 3x -5 is the equation of the line parallel to the line and going through the point (4,7). The format is slope intercept.
Slope intercept is what?A method of formulating a line's equation that makes it simple to identify the slope and y-intercept is known as the slope-intercept form. The point where the line crosses the y-axis is known as the y-intercept, and the slope refers to how steep the line is.
Using the information provided,
y= 3x – 5
First, we must keep in mind that parallel lines have an equal slope.
In essence,
m1 = m2 if line 1 and 2 are parallel.
Y = mx + c is the slope-intercept form of the equation; y = 3x + 6, which already has this form.
incline of the m1 = 3.
Consequently, m1 = 3 = m2.
The slope of the parallel line, m2 = 3 and the line passes through the point (4,7).
Therefore;
3 = (y - 7)/(x-4)
By cross product;
3x - 12 = y - 7
y = 3x - 5
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hey guys can you help with this
Step-by-step explanation:
use the formula of area of triangle .
if B=X then h=8+x
i need help with this geometry
Answer:
b for the last question
Step-by-step explanation:
Answer:3
Step-by-step explanation:
The y intercept is the last number without a x
in a large population, 71% of the people have been vaccinated. if 5 people are randomly selected, what is the probability that at least one of them has been vaccinated?
The probability that AT LEAST ONE of them has been vaccinated is 0.9979.
Vaccination rate among the population: p = 0.71
Sample size = 5
Assume that X people have received vaccinations.
P(atleast one) = 1 - P (none)
By the binomial distribution, now,
P(none)= (⁵₀) 0.71° (1-0.71)⁵⁻⁰
= 1 × 1 (0.29)⁵
= 0.0021
So,
P(at least one) therefore equals 1 - P (none)
= 1 - 0.0021
= 0.9979
Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.9979
An explanation of probability theory?
Probability theory is a mathematical discipline that analyzes random encounters. A random event's outcome cannot be predicted before it occurs, but it could take any of several various forms. The end outcome is thought that it was determined by chance.
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A stock on the New York Stock Exchanged opened at $48on Monday.During the week,the stock lost $2 ,gained $1 ,gained$3 ,lost $1 and lost $4.What was the stock worth at the close of the businesson Friday?
The stock worth at the close is $45.00
Solve the formula for converting temperature from degrees Celsius to degrees Fahrenheit for C.
F = 9/5C + 32
F - 32 = 9/5C
C = 5/9(F - 32)
Correct answer: A
Hope this helps! :)
Find each angle measure to the nearest tenth of a degree.
sin ⁻¹5/8
Answer: \(38.7^{\circ}\)
Step-by-step explanation:
Use a calculator.
If f(x) = 2x - 9 and g(x) = x² + 3, what is (f + g)(4)?
Describe and correct the error in setting up the trigonometric function.
The value of side length w is 13.75 .
Given right angled triangle,
Perpendicular = w
Hypotenuse = 17
Angle of triangle = 54°
So,
According to the trigonometric ratios,
tanФ = p/b
cosФ = b/h
sinФ = p/h
By using sinФ,
sinФ = p/h
sin 54° = w/ 17
0.809 = w/17
w = 13.75 .
Thus after correction w will be 13.75
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A rancher has 3000 feet of fencing with which to construct adjacent, equally sized rectangular pens as shown in the figure above. What dimensions should these pens have to maximize the enclosed area?
The required dimensions of a rectangular rancher with perimeter for fencing, 3000 feet are equal the 500 feet and 375 feet at maximum area of 3,75,000 ft².
We have a rancher which to construct adjacent, equally sized rectangular pens with the fencing of 3000 feet. Suppose that the rancher need to be fenced in the way shown in the attached figure. Then, the perimeter is 4x + 3y = 3000
=> x \( =\frac{3000 - 3y}{4} \).
The area of rectangle is represented by A=L × W --(1) , where L and W are dimensions of rectangles. The total area will be A = 2× x × y --(2)
=> A = 2× (\(\frac{3000 - 3y}{4}\))× y
= ( \( 1500 - \frac{3y}{2} \))y
= \( 1500y - \frac{3y²}{2} \)
Now, differentiate above area function, with respect to y, and equate to 0, for determining the critical points on the graph, \(\frac{dA}{dy} \) = A'(y) =\( 1500 - \frac{6y}{2} \) = 0
=> y = \(\frac{1500}{3} = 500 \)
Also, x \( =\frac{3000 - 3× 500}{4} \).
\( =\frac{1500}{4} = 375 \).
Maximum area = 375 × 500 × 2 = 375000 ft². Hence, the dimensions that will give the maximum area are 500 feet and 375 feet.
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Complete question : attached figure complete the question.
What is the x please answer me quick
I NEED HELP IM STUCK!!!!!
Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of a right triangle with the length of leg a 5 inches.
A) 10 inches
B) 2√5 inches
C) 5√2 inches
D) 25 inches
Answer:
C) 5√2
Step-by-step explanation:
Given a normal distribution with u = 100 and o= 10, complete parts (a) through (d).
a. What is the probability that X> 85? The probability that X> 85 is_____(Round to four decimal places as needed.) b. What is the probability that X<80? The probability that X < 80 is ____(Round to four decimal places as needed.) c. What is the probability that X<90 or X> 130? The probability that X<90 or X> 130 is ____ (Round to four decimal places as needed.) d. 99% of the values are between what two X-values (symmetrically distributed around the mean)? 99% of the values are greater than __ and less than _(Round to two decimal places as needed.)
To solve the given problems, we'll use the properties of the normal distribution with mean μ = 100 and standard deviation σ = 10.
a. Probability that X > 85:
To find this probability, we need to calculate the area under the normal curve to the right of 85. We can use the standard normal distribution table or a calculator to find the corresponding z-score and then use the z-table to find the probability.
First, let's calculate the z-score:
z = (X - μ) / σ
z = (85 - 100) / 10
z = -15 / 10
z = -1.5
Using the z-table or a calculator, we find that the probability of Z > -1.5 is approximately 0.9332.
Therefore, the probability that X > 85 is 0.9332 (rounded to four decimal places).
b. Probability that X < 80:
Similarly, we'll calculate the z-score for X = 80:
z = (X - μ) / σ
z = (80 - 100) / 10
z = -20 / 10
z = -2
Using the z-table or a calculator, we find that the probability of Z < -2 is approximately 0.0228.
Therefore, the probability that X < 80 is 0.0228 (rounded to four decimal places).
c. Probability that X < 90 or X > 130:
To calculate this probability, we'll find the individual probabilities of X < 90 and X > 130, and then subtract the probability of their intersection.
For X < 90:
z = (90 - 100) / 10
z = -10 / 10
z = -1
Using the z-table or a calculator, we find that the probability of Z < -1 is approximately 0.1587.
For X > 130:
z = (130 - 100) / 10
z = 30 / 10
z = 3
Using the z-table or a calculator, we find that the probability of Z > 3 is approximately 0.0013.
Since these events are mutually exclusive, we can add their probabilities:
P(X < 90 or X > 130) = P(X < 90) + P(X > 130)
P(X < 90 or X > 130) = 0.1587 + 0.0013
P(X < 90 or X > 130) = 0.1600
Therefore, the probability that X < 90 or X > 130 is 0.1600 (rounded to four decimal places).
d. 99% of the values are between what two X-values (symmetrically distributed around the mean)?
To find the two X-values, we need to find the corresponding z-scores for the cumulative probabilities of 0.005 and 0.995. These probabilities correspond to the tails beyond the 99% range.
For the left tail:
z = invNorm(0.005)
z ≈ -2.576
For the right tail:
z = invNorm(0.995)
z ≈ 2.576
Now we can find the corresponding X-values:
X1 = μ + z1 * σ
X1 = 100 + (-2.576) * 10
X1 = 100 - 25.76
X1 ≈ 74.24
X2 = μ + z2 * σ
X2 = 100 + 2.576 * 10
X2 = 100 + 25.76
X2 ≈ 125.76
Therefore, 99% of the values are greater than 74.24 and less than 125.76 (rounded to two decimal places).
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a portable cd player was originally priced at $79.95 and cost $39 is ultimately sold for $64.95. what was the reduction percentage on the portable cd player?
By using percentage, it can be calculated that
Percentage reduction on the portable cd player \(= 18.76 \%\)
What is Percentage?
Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.
For example 9% means \(\frac{9}{100}\). Here, 9 is expressed as a fraction of 100.
Original price of the CD player = $79.95
Selling price = $64.95
Reduction in price = $(79.95 - 64.95) = $15
Percentage reduction on the portable cd player = \(\frac{15}{79.95} \times 100 = 18.76 \%\)
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What is an equation of the form a b = c d b a = d c stating that two ratios are equivalent?
Answer:
true proportion
A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.
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Can you give me brainliest? please?.ت︎
The revenue from the sale of a product is given by the function R=400x−x3. Selling how many units will give positive revenue?
ANSWER:
Selling more than 0 and less than 20 units will give positive revenue.
STEP-BY-STEP EXPLANATION:
We have the following function:
\(R=\: 400x-x^3\)Now, we propose the following inequality:
\(\begin{gathered} 400x-x^3>0 \\ \text{ solving for x:} \\ x\cdot(400-x^2)>0 \\ x\cdot(x-20)\cdot(x+20)>0 \\ \text{ therefore:} \\ x>0 \\ x-20>0\rightarrow x>20 \\ x+20>0\rightarrow x>-20 \\ \text{ in interval form:} \\ (-\infty,-20)\cup(0,20) \end{gathered}\)Since negative units cannot be sold, we are then interested in the range from 0 to 20, therefore, if more than 0 and less than 20 units come in, the revenue will be positive.
40
×
40
17
Evaluate
Answer:
your answer would be 160680
Step-by-step explanation:
Winter Wonderland charges children $0.50 per ride down the sledding hill plus an entrance fee. Todd sled down the hill 16 times and paid $18 for his time at winter wonderland.
What is the equation in y=mx+b form?
The equation of the amount to be paid by anyone using the ride in slope intercept form is; y = 0.5x + 10
How to write an equation in slope intercept form?The general form of the equation of a Line in slope intercept form is;
y = mx + b
where;
m is slope
b is y-intercept
Now, we are told that;
Amount charge by Winter Wonderland per child = $0.50
We are told that there is a separate entrance fee.
Amount of times todd sled down the hill = 16 times
Amount paid by todd = $18
Thus, using the slope intercept form, we have;
18 = 0.5(16) + b
18 = 8 + b
b = 10
Thus, the equation of this amount to be paid in slope intercept form is;
y = 0.5x + 10
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solve for brainliest
Answer:
A ≈ 78.5
Your answer was wrong because it said to round to the nearest tenth.
Step-by-step explanation:
First, to find the area of a circle, you need the radius or diameter of a circle. You can see that the radius is 5 (counting the units from E directly horizontal to the edge of the circle).
Area of a circle is:
A = πr²
A = π (5)²
Following PEMDAS (order of operations), you would do the exponent first:
A = π (25)
A ≈ 78.5
Complete SquareEquation in (x+a)^2=b3x^2-18x= 357
the coefficiont of x2 must be 1, so divide the equation by 3
\(x^2-6x=119\)take half the coefficient of x and squared
\(\begin{gathered} \frac{-6}{2}=-3 \\ \\ (-3)^2=9 \end{gathered}\)then, add to both sides
\(x^2-6x+9=119+9\)Now we can rewrite the left side of the equation as a square term.
\(\begin{gathered} (x-3)^2=128 \\ \end{gathered}\)HELPPPPPP DUE SOON WHAT IS 9x+27<2x-20 GIVING BRAINLITS OF WHATEVER THEY ARE CALLED LOLOLOLOL
Answer:
x < -47/7
Step-by-step explanation:
im having a problem with these quadratics I will include a picture
ANSWER and EXPLANATION
a) We want to solve the quadratic equation by completing the square:
\(r^2+16r-48=-162\)The first step is to add 48 to both sides of the equation to eliminate -48 from the left-hand side:
\(\begin{gathered} r^2+16r-48+48=-162+48_{}^{}_{} \\ r^2+16r=-114 \end{gathered}\)Now, to complete the square, divide 16 by 2 and find the square. Then, add that to both sides of the equation:
\(\begin{gathered} r^2+16r+(\frac{16}{2})^2=-114+(\frac{16}{2})^2 \\ r^2+16r+64=-114+64 \\ \Rightarrow(r+8)^2=-50 \end{gathered}\)That is the equation after completing the square.
To find the solutions of r, find the square root of both sides of the equation and simplify:
\(\begin{gathered} r+8=\sqrt[]{-50} \\ r+8=\pm5\sqrt[]{2}i \\ \Rightarrow r=-8+5\sqrt[]{2}i;r=-8-5\sqrt[]{2}i \end{gathered}\)Those are the solutions.
b) We want to solve the quadratic equation given by completing the square:
\(m^2+4m-20=44\)The first step is to add 20 to both sides of the equation to eliminate -20 from the left-hand side:
\(\begin{gathered} m^2+4m-20+20=44+20 \\ \Rightarrow m^2+4m=64 \end{gathered}\)Now, to complete the square, divide 4 by 2 and find the square. Then, add that to both sides of the equation:
\(\begin{gathered} m^2+4m+(\frac{4}{2})^2=64+(\frac{4}{2})^2 \\ m^2+4m+4=64+4 \\ (m+2)^2=68 \end{gathered}\)That is the equation after completing the square.
To find the solutions of m, find the square root of both sides of the equation and simplify:
\(\begin{gathered} m+2=\sqrt[]{68} \\ m+2=\pm2\sqrt[]{17} \\ \Rightarrow m=-2+2\sqrt[]{17};m=-2-2\sqrt[]{17} \end{gathered}\)Those are the solutions.
evaluate the expression under the given conditions. tan(2); cos() = 7 25 , in quadrant i
The required answer is the value of tan(2) is approximately -2352/3669.
To evaluate the expression under the given conditions, we will first determine the value of sin() using the Pythagorean identity and then use the double-angle formula for tan(2).
A Quadrant is circular sector of equal one quarter of a circle ,or a half semicircle. A sector of two-dimensional cartesian coordinate system. The Pythagorean identity, are useful expression involving the function need to simplified.
Given: cos() = 7/25, and is in Quadrant I.
Step 1: Find sin()
Since we are in Quadrant I, sin() is positive. Using the Pythagorean identity, sin^2() + cos^2() = 1, we can find sin().
sin^2() + (7/25)^2 = 1
sin^2() = 1 - (49/625)
sin^2() = (576/625)
sin() = √(576/625) = 24/25
we are called the Pythagorean identity is Pythagorean trigonometric identity, is expression A to B .
The same value for all variables within certain range. Angle is double or multiply by 2 so we called double- angle.
Step 2: Find tan(2) using the double-angle formula
The double-angle formula for tangent is: tan(2) = (2 * tan()) / (1 - tan^2())
First, we find tan():
tan() = sin() / cos() = (24/25) / (7/25) = 24/7
Now, use the formula for tan(2):
tan(2) = (2 * (24/7)) / (1 - (24/7)^2)
tan(2) = (48/7) / (1 - 576/49)
tan(2) = (48/7) / ((49 - 576) / 49)
tan(2) = (48/7) * (49 / (-527))
tan(2) = (-2352 / 3669)
So, under the given conditions, the value of tan(2) is approximately -2352/3669.
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help help help help help help
Answer:
1. B
2. =
3. 0.6, 1/2, -1.7, -1.75
4. Thomas won
PLEASE HELP!!!!!!!!!!! EXTRA POINTS!!!!!!!!!!!!!!!!!!!!
Answer:
I have a feeling it is C
roberts distance is 60 times his travel time
both random sampling and non-random sampling allow us to use sampling distributions. group of answer choices true false
The answer for this question is false.
We know that about the sampling distribution, for this case is what is the probability that we obtain his sample this extreme?
So let's say the meanest zero here we obtained samples or Have it. That's a Z score of 2.86 from the Normal Distribution,
for example, that would be a very extreme sample. And we want to find what is the probability that we selected sample?
If the null hypothesis is true, However, what is non random means there are biases, then the bias will cause the result to be either larger or you lower than the population mean also called the population average or 'u'. Not by chance, but by human selection. So which prevents us from drawing any definitive conclusion from our results.
Hence, the answer is False.
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Simplify the following as much as possible. (-10x3y-9z-5)5 Give your answer using the form AxByCzD?
The simplified form of the expression (-10x³y⁻⁹z⁻⁵)⁵ can be determined by raising each term inside the parentheses to the power of 5.
This results in a simplified expression in the form of AxⁿByⁿCzⁿ, where A, B, and C represent coefficients, and n represents the exponent.
When we apply the power of 5 to each term, we get (-10)⁵x^(3*5)y^(-9*5)z^(-5*5). Simplifying further, we have (-10)⁵x^15y^(-45)z^(-25).
In summary, the simplified form of (-10x³y⁻⁹z⁻⁵)⁵ is -10⁵x^15y^(-45)z^(-25). This expression is obtained by raising each term inside the parentheses to the power of 5, resulting in a simplified expression in the form of AxⁿByⁿCzⁿ. In this case, the coefficients A, B, and C are -10⁵, the exponents are 15, -45, and -25 for x, y, and z respectively.
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