Answer:
Two solutions: X = -5 and X = -0.5
Step-by-step explanation:
4x^2 + 22x + 10 = 0 // divide by 2
2x^2 + 11x + 5 = 0
delta = 11^2 - 4 * 2 * 5 = 121 - 40 = 81
sqrt(delta) = 9
x1 = (-11 - 9) / 4 = -5
x2 = (-11 + 9) / 4 = -0.5
Find the measure of each rectangle indicated. Round to the nearest tenth
The value of θ or the measurement m∠B of is 69°.
What is an angle?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
The hypotenuse of △ABC is AB = 14.
The base of △ABC is AC = 5.
The cosine is a trigonometry ratio and cosine of an angle is ratio of base to hypotenuse.
cos θ = Base/ hypotenuse
Putting Base =5 and hypotenuse = 14
cos θ = 5/14
Taking inverse of cosine on both sides:
θ = cos⁻¹(5/14)
θ = 69.0
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Order from least to greatest. .46 4/6 .046 1/10 -4
(/ means fraction)
Answer:
-4, 0.046, 1/10, 0.46, 4/6
Step-by-step explanation:
First, we know that -4 is the least because it is a negative number.
Next, we need to convert the fractions to decimals. 1/10 is 0.1, and 4/6 is 0.66.
Then, we order the decimals.
0.046 is the next smallest, because it is a hundredth, and the remaining decimals are tenths and therefore greater.
We compare the remaining decimals, which are 0.10, 0.46, and 0.66. These are easy to compare and order.
Now, we've compared and ordered all the numbers. We can convert the fractions back into their original form.
for the arithmetic sequence beginning with the terms {5, 6, 7, 8, 9, 10...}, what is the sum of the first 17 terms? 187 243 221 200 save
Answer:
221
Step-by-step explanation:
5 is the first term, then:
5 + 16 = 21
22 is the last term
5 + 21 = 26
6 + 20 = 26
7 + 19 = 26
.....
.....
12 + 14 = 26
and
13
There are 8 sum of 26 each and 13
Then:
8*26 + 13 = 221
write two linear expressions that have a sum of 6x + 9
Simplify.
5 / -2+ √3
A) √3-5 / 3
B) -2+√3 / 5
C) -10-5√3
D) -2√5-√15 / 25
Multiply the numerator and denominator by the conjugate.
Exact Form:
−10−5√3
Decimal Form:
−18.66025403...
use the binomial theorem to determine the number of ways 1, 2, 3, and 4 heads can occur when four fair coins are flipped
If you write everything down, you can get 0,1,2,3 or 4 heads. The probabilities are: 1/16, 4/16, 6/16, 4/16, and 1/16. Notice, the probabilities add up to 16/16 = 1. You toss 4 fair coins.
What is probabilities?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.
Statistics is the study of events that follow a probability distribution.
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What is the y-intercept of y = 1/2x?
Answer:0
Step-by-step explanation:y=1/2x
straight lines are of the y=mx+c
The c value is where the graph cuts the y axis or the y intercept
as there is no value there c=0
or y intercept =0
The sampling distribution of the sample mean _____.a. shows the distribution of all possible values of μb. is an unbiased estimatorc. is the probability distribution showing all possible values of the sample meand. is used as a point estimator of the population mean μ.The standard error of the proportion will become larger as _____.a. p approaches 1b. n increasesc. p approaches 0d. p approaches .5
C- is the probability distribution showing all possible values of the sample mean. D- p approaches 0.5
The sampling distribution mean is the physical to the population mean. A sampling distribution is a probability distribution of a statistic obtained from a larger number of samples drawn from a specific population. The sampling distribution of a given population is the distribution of frequencies of a range of different outcomes that could possibly occur for a statistic of a population.
Thus, the correct answer is C
The term "standard error" refers to the sampling standard deviation of the sample statistic or sample proportion. The population percentage can be accurately estimated using the sample proportion.
Thus, the correct answer is D
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The sampling distribution mean is the physical to the population mean. A sampling distribution is a probability distribution of a statistic obtained from a larger number of samples drawn from a specific population. The sampling distribution of a given population is the distribution of frequencies of a range of different outcomes that could possibly occur for a statistic of a population.
Por favor ayuda con el gráfico y la tabla pls
The question is in the picture
a researcher wants to find out how much a person watches television causes a person to like bourbon whisky more. to do this she asks each participant if they watch tv more or less than 2 hours per day and then has them take a likert scale of how much they like bourbon whisky. which test statistic would you use?
chi-square test statistic is statistically significant.
What is Test Statistic?
A statistic employed in statistical hypothesis testing is known as a test statistic. A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.
To determine whether the amount of television a person watches is related to their liking for bourbon whisky, the researcher could use a chi-square test of independence.
The chi-square test is a statistical test that is used to determine whether there is a significant association between two categorical variables.
In this case, the two variables of interest are television watching (more or less than 2 hours per day) and liking for bourbon whisky (measured using a Likert scale).
The chi-square test statistic is calculated based on the observed frequencies of each combination of television watching and liking for bourbon whisky, and it is used to determine whether the observed frequencies are significantly different from the frequencies that would be expected if the two variables were independent.
If the chi-square test statistic is statistically significant, it indicates that there is a significant association between the two variables, and the researcher can conclude that television watching is related to liking for bourbon whisky.
Hence, chi-square test statistic is statistically significant.
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The odds in favor of an event are 8 to 3. What is the probability of the event?
The answer to your Question is 3:8
Why do we divide by 3 when finding the volume of a square pyramid?
To find the volume of a pyramid we need to multiply the area of its base by the length of its height and divide it by by three. This is why we divide the pyramid so as to obtain the desired result.
Formula to calculate the volume is ,
1/3 ( base area x height )
The base of a square pyramid is a square and the area of a square is found by the formula , side x side .
In order to identify a square pyramid we check for its base . If the apex of the pyramid is perpendicular to the center of the square, then it is a right square pyramid.
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How do you prove two shapes are similar?
According to the value of scale factor, we have to prove that the two shapes are similar.
The term shape in math is defined as the object that the form of an object or its outline, outer boundary or outer surface.
Here we have to find the way to prove two shapes are similar.
Here we have given that there are two shapes are given, in order to prove that those two shapes are similar, we must consider that the two shapes are considered to be "similar figures" if they have the same shape, congruent corresponding angles which means the angles in the same places of each shape are the same and equal scale factors.
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What are the domain and range of y = -2(x-4)² + 1?
A. D: x > 4 and R: all real numbers
B. D: x ≤ 4 and R: all real numbers
C. D: all real numbers and R: y ≤ 1
D. D: all real numbers and R: y ≥ 1
Answer:
he correct answer is D: all real numbers and R: y ≥ 1.
Step-by-step explanation:
Find the number of units x that produces a maximum revenue R.R = 171x2 − 0.06x3x = units
The number of units x that produces a maximum revenue with the expression given is x = 0.
To find the value of x that maximizes the revenue function R, we can take the derivative of R with respect to x and set it equal to 0. This will give us the critical point of the function.
The derivative of the function R with respect to x is:
R'(x) = 342x - 0.18x²
Setting this equal to 0, we get:
342x - 0.18x² = 0
Solving for x, we find that x = 0 or x = 1900.
However, we need to consider the constraints of the problem to determine which value of x is the optimal solution. If x is a number of units, then x cannot be negative. Therefore, the only valid solution is x = 0.
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the graph of this equation is which of the following
x² + y² - 2x + 3y + 8 = 0
a) parabola
b) circle
c) hyperbola
d) ellipse
e) point
someone help me please!!
Answer:
Step-by-step explanation:
What is the relationship between height and base?
A triangle's base and height are perpendicular to one other. In the same manner, if we know the triangle's area and height, we can calculate the triangle's base; conversely, if we know the triangle's area and base, we can calculate the triangle's height.
A triangle's height is always one of the triangle's sides. Drawn at an acute angle to the base must be a height that matches to the base. It is necessary to draw a height at a right angle to the base that matches to the base. Once we select a base, the associated height is represented by just one section.
A=1/2 x b x h
2A/h=b
or 2A/b=h
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Note the question could be as follow,
What is the relationship between the base and height of triangle?
A basketball player made 5 out 6 free throws. What percent of the free throws did he miss? (1 point)
Answer:
5/6 = 0.83
multiply the decimal by 100 to get the answer in percentage = 83%
83% is what they made
100 - 83 = 17% this is what he missed
Answer:
adfftep explanation:
ADFWAD
How long can you stay on sickness benefits?
In one (1) calendar year, a member may receive illness benefits for a maximum of 120 days. The total number of permitted compensable days for the next year cannot be increased by any unused fraction being carried forward.
Sickness benefits are paid for 91 days across two successive benefit periods and are equal to 70% of the average daily salary.
Enhanced Sickness Benefit: For male and female employees, respectively, this benefit is payable to insured people undergoing sterilization for 7 days and 14 days, and it is equal to their entire salary.
The member's daily Sickness Benefit allotment equals ninety percent (90%) of the credit for his or her average daily wage (ADSC). Up to 120 days can be received from the sickness benefit in a single (1) calendar year.
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Write an expression that can be used to find 65% of 120.
How do you find the perpendicular line of a linear equation?
Ways to find the perpendicular line of a linear equation are by solving for y, convert the equation of the given line into slope-intercept form.
Describe perpendicular.A straight line that forms a 90° angle with another line is said to be perpendicular. A small square is placed between two perpendicular lines, as seen in the illustration, to indicate a right angle, also known as a 90° angle. The two lines in this instance are considered to be perpendicular to one another because they intersect at a straight angle.
Given
Ways to find the perpendicular line of a linear equation are,
First, by solving for y, convert the equation of the given line into slope-intercept form.
You obtain y = -2x + 5, indicating a -2 slope. Since the slopes of perpendicular lines are opposite-reciprocal, the slope of the line we're looking for is 1/2.
By entering the supplied point into the formula y = 1/2x + b and solving for b, we arrive at the value b = 6.
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The diagram shows a convex polygon.
What is the sum of the interior angle measures of this polygon?
The sum of the interior angle measures of the given polygon will be equal to 360°.
What is a Polygon?A polygon is described in geometry as a compact, two-dimensional shape having three or more straight lines.
Poly, which means "many," and gon, which means "angle," make up the Greek word "Polygon." Polygons of several kinds can be seen all around us.
As per the given information in the question,
Use the formula of the sum of an interior angle of the polygon,
180(n - 2) (i)
Here, n is the number of sides.
As per the given figure, n = 4
Put n = 4 in equation (i)
180 (4 - 2)
180 (2)
= 360°
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12.2: Postage Stamps
The relationship between the postage rate and the weight of a letter can be defined by a
piecewise function.
The graph shows the 2018 postage rates
for using regular service to mail a letter.
1.67
postage (dollars)
$10.55
0.45
1.5
1.25
1
0.75-
0.50
0.25
0.5
1
1. What is the price of a letter that has the following weight?
a.
1 ounce
0.50
b. 1.1 ounces
c. 0.9 ounce
2. A letter costs $0.92 to mail. How much did the letter weigh?
1.5 2 2.5 3 3.5 4
weight (ounces)
The price of the letter with the given weights are;
a) 1 ounce = $0.5
1.1 ounces = $1.1
0.9 ounces = $0.5
b) At a cost of $0.92 , weight is 3 ounces
How to Interpret Piecewise function Graphs?A piecewise function is defined using different expressions for different intervals in its' domain.
Now, from the graph, we see two line end points. One that is shaded circle and one that is not shaded circle but we will make use of the shaded one because it implies that is the output.
a) At one ounce, we can trace on the graph that the postage price is $0,5.
At 1.1 ounces, we can trace on the graph that the postage price is approximately $0.71
At 0.9 ounces, we can trace on the graph that the postage price is approximately $0.50
b) At a cost of $0.92 to mail, the weight must be more than 2 ounces but less than or equal to 3 ounces.
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How many types of quadrilaterals are there?
Answer:
There are 6 types of quadrilaterals
Step-by-step explanation:
6 types are: Parallelogram, Trapezium, Rhombus, Rectangle, Square, Kite
Express the given product as a sum containing only sines or cosines.
sin (50) cos (20)
The zeros are thetas btw
Pls help I don't have much time
Answer:
s (50) c (20) s (50) c (20) = 0
Step-by-step explanation:
Hope this helps
What does a square of 1 mean?
Since 1 is a square of 1, or square of 1, we receive a new number when we multiply 1 by 1.Since a square number is a number multiplied by itself, 1 is likewise a square number.
what is square ?Four of its sides are equal in length, making a square a two-dimensional shape. A square has four right angles and opposing sides that are parallel to one another. Some examples of square-shaped objects in daily life include paper napkins, chess boards, cheese slices, floor tiles, and so forth.
here
When you multiply any integer by itself,
the answer is a square number.
Let's multiply one by itself as an example: 1 * 1 = 1
so since 1 is a square of 1, or square of 1, we receive a new number when we multiply 1 by 1.
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Why is the square root of 4 undefined?
A negative number is not a real number which, squared, is negative. Hence square root of -4 undefined
What is the square root?
The square root of a number is the factor that we can multiply by itself to get that number. The symbol for square root is √ .Finding the square root of a number is the opposite of squaring a number.
According to the given question:
A negative number is not a real number which, squared, is negative.
You can't get square a number and get a negative. If you square a negative number, it'll become positive, therefore you can't square root a negative number because it doesn't exist. Hence square root of -4 is undefined.
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8/x = 12/30 Solve for x
Answer:
The value of x is 20
Step-by-step explanation:
This question has to do with an equation. The information is given thus:
8/x = 12/30
Cross multiply
12x = 30 × 8
12x = 240
Divide
x = 240 / 12
x = 20
A flat rectangular piece of aluminum has a perimeter of 60 inches. The
length is 14 inches longer than the width. Find the width.
please add all the steps and explanation thank you.
Answer:
width = 8 inches
Step-by-step explanation:
⭐ What is the formula for the perimeter of a rectangle?
perimeter = 2(length) + 2(width)We are given that the length is 14 inches longer than the width, and the perimeter of the rectangle is 60 inches.
So, let's substitute these values into the perimeter formula and solve for the width. Let w = width.
[tex]60 = 2(14 + w) + 2(w)[/tex] Multiply the 2 into the parentheses
[tex]60 = 28 + 2w + 2w[/tex] Add like terms (terms with the same variable)
[tex]60 = 28 + 4w[/tex] Subtract 28 on both sides
[tex]32 = 4w[/tex] Divide both sides by 4 to isolate the variable
[tex]8 = w[/tex]
∴ The width is 8 inches.