Answer:
Number 1 and Number 4
Step-by-step explanation:
By factoring, you can figure out the roots (x = -2 or x = 2)...
1. x^2 - 4 = 0
--> (x + 2)(x - 2) = 0
--> x = -2, x = 2
2. x^2 + 4 = 0
--> factors weirdly, so I won't write it. You'd have to use the quadratic formula.
3. 3x^2 + 12 = 0
--> 3 (x^2 + 4) = 0
--> factors weirdly (same as above)
4. 4x^2 - 16 = 0
--> 4 (x^2 - 4) = 0
--> 4 (x+2) (x-2) = 0
--> x = -2, x = 2
5. 2 (x-2) 2 = 0
--> x = 2
To find percent of a number, 1- multiply2- dividethe number by the fraction or decimal equivalent of the1- number2- percent.To find an unknown percent or part, solve a proportion comparing the1- part2- percentto the ratio of1- percent2- partto whole.
the first is multiply, the second percent
the third is part and the next too
What’s 1/2 + 3/2 equal
Answer:
2
Step-by-step explanation:
2 2 2 2 2 2 2 2. 2 2 2 2 2 2 2. 2 2 2. 2 2 2 2
Veronica bought a shirt and a sweater for a total price of $65. The price of the sweater was $2 more than twice the price of
the shirt. What was the price of the shirt?
Answer: 32.5
Step-by-step explanation: you divide it.
in yoga class, all of the students are lined up according to height. Andy notices that the number of students who are taller than he is one-fourth the number of students who are shorter than he. Violetta notices that there are 3 times as many students who are taller than she than students who are shorter than she. How many students are the class is there are fewer than 40 students?
Answer: i think its 21! how idfk but it was on some website...dont hatecrime me!
Step-by-step explanation:
Event A has probability 0.3. Event B has probability 0.6. If A and B are disjoint (mutually exclusive), what is the probability that both A and B occur simultaneously
The probability is zero because the events are mutually exclusive, and it is not possible for both events to occur at the same time.
If events A and B are disjoint or mutually exclusive, it means that they cannot occur at the same time. In other words, if event A happens, event B cannot happen, and vice versa. In such cases, the probability of both A and B occurring simultaneously is zero.
When events are mutually exclusive, the rule of addition applies. According to this rule, the probability of the union of two mutually exclusive events is the sum of their individual probabilities.
Therefore, if A and B are disjoint events with probabilities 0.3 and 0.6 respectively, the probability of both A and B occurring simultaneously is:
P(A and B) = 0
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What is the height of a triangle with area40
inches and base 20 inches
Answer:
Area= 1/2 x base x height
So, 40 squared= 1/2 x 20x h
40 squared= 10h
40/10=10h/10
4 = height
Step-by-step explanation:
3. Find csc 55° correct to three decimal places a)-0.701 b)1.221 c) 0.701 d) -1.221
The value of csc 55°, correct to three decimal places is 1.221. Thus, option (b) is the correct answer.
The geometrical capability of csc (cosecant) of point 55° is still up in the air, right to three decimal spots. The trigonometric function of csc of an angle is known to be the ratio of the hypotenuse to the opposite side of a right triangle when the angle is 55 degrees.
With the help of the Pythagorean theorem and SOH-CAH-TOA, we can determine the value of csc 55°. Let's take a look at the next steps: We have, based on the Pythagorean theorem: hypotenuse2 = opposite2 + adjacent2We know, nearby = cos θ = cos 55° = 0.5736 and inverse = sin θ = sin 55° = 0.8192Therefore, hypotenuse2 = 0.57362 + 0.81922= 0.329 + 0.671= 1.000
Hypotenuse, 'h' = √(1.000)= 1Using the meaning of cosecant,csc 55°= 1/sin 55°= 1/0.8192≈ 1.221 (right to three decimal places).Hence, the worth of csc 55°, right to three decimal spots is 1.221. As a result, the correct response is (b).
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Please tell me if the transformation is a reflection or not!
Answer:
2, 3, & 5 are reflections, the others are rotations.
Write in point-slope form an equation of the line through the pair of points (4,0) and (8,7).
Answer:
y - 0 = -7/4(x - 4)
Step-by-step explanation:
Slope Formula: (y2 - y1) / (x2 - x1)
Point-Slope form Formula: y - y1 = slope(x -x1)
The slope of the points (4,0) and (8,7) is -7/4 plug in the numbers in the the point slope equation it will be y - 0 = -7/4(x - 4)
Answer: In point slope form, the equation would be:
(y-0) = 7/4 (x-4)
hope this helps :)
Step-by-step explanation:
A bus is traveling at a speed of 15m/s2. The driver approaches the same traffic light in another traffic lane. He does not brake and continues at the same speed. Write an equation for the distance the bus travels in time (t) (Hint: At a constant speed, the acceleration is 0m/s2)
This equation tells us that the distance the bus travels is directly proportional to the time it travels at a constant speed of 15m/s.
What is speed?
Speed is the method of measuring how quickly an object moves from one place to another. It is a scalar quantity that expresses the rate of change of distance over time. In other words, it is the distance traveled per unit of time.
If the bus is traveling at a constant speed of 15m/s, then its acceleration is 0m/s². Therefore, we can use the formula for distance traveled at constant speed:
distance = speed × time
In this case, the speed of the bus is 15m/s, so the equation for the distance the bus travels in time (t) is:
distance = 15t
This equation tells us that the distance the bus travels is directly proportional to the time it travels at a constant speed of 15m/s.
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I am being timed pls asap
Answer:
Writing it in matrix form
- 2 - 4 - 5 - 155
1 1 6 101
2 2 - 3 37
I hope this helps you
A triangle has side lengths of 10 inches, 11 inches, and 12 inches. What kind of triangle is it?
Answer:
Acute scalene triangle.
More Information:
Sides: a = 10 b = 11 c = 12
Area: T = 51.521
Perimeter: p = 33
Semiperimeter: s = 16.5
Angle ∠ A = α = 51.318° = 51°19'4″ = 0.896 rad
Angle ∠ B = β = 59.17° = 59°10'10″ = 1.033 rad
Angle ∠ C = γ = 69.513° = 69°30'46″ = 1.213 rad
Height: ha = 10.304
Height: hb = 9.367
Height: hc = 8.587
Median: ma = 10.368
Median: mb = 9.579
Median: mc = 8.631
Inradius: r = 3.122
Circumradius: R = 6.405
Vertex coordinates: A[12; 0] B[0; 0] C[5.125; 8.587]
Centroid: CG[5.708; 2.862]
Coordinates of the circumscribed circle: U[6; 2.242]
Coordinates of the inscribed circle: I[5.5; 3.122]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 128.682° = 128°40'56″ = 0.896 rad
∠ B' = β' = 120.83° = 120°49'50″ = 1.033 rad
∠ C' = γ' = 110.487° = 110°29'14″ = 1.213 rad
How to Solve:
The calculation of the triangle has two phases. The first phase calculates all three sides of the triangle from the input parameters. The first phase is different for the different triangles query entered. The second phase calculates other triangle characteristics, such as angles, area, perimeter, heights, the center of gravity, circle radii, etc. Some input data also results in two to three correct triangle solutions (e.g., if the specified triangle area and two sides - typically resulting in both acute and obtuse) triangle).
1. Input data entered: sides a, b, and c.
a=10
b=11
c=12
We know the lengths of all three sides of the triangle, so the triangle is uniquely specified. Next, we calculate another of its characteristics - the same procedure for calculating the triangle from the known three sides SSS.
a=10
b=11
c=12
2. The triangle perimeter is the sum of the lengths of its three sides
3. Semiperimeter of the triangle
The semiperimeter of the triangle is half its perimeter. The semiperimeter frequently appears in formulas for triangles to be given a separate name. By the triangle inequality, the longest side length of a triangle is less than the semiperimeter.
4. The triangle area using Heron's formula
Heron's formula gives the area of a triangle when the length of all three sides is known. There is no need to calculate angles or other distances in the triangle first. Heron's formula works equally well in all cases and types of triangles.
5. Calculate the heights of the triangle from its area.
There are many ways to find the height of the triangle. The easiest way is from the area and base length. The triangle area is half of the product of the base's length and height. Every side of the triangle can be a base; there are three bases and three heights (altitudes). Triangle height is the perpendicular line segment from a vertex to a line containing the base.
6. Calculation of the inner angles of the triangle using a Law of Cosines
The Law of Cosines is useful for finding a triangle's angles when we know all three sides. The cosine rule, also known as the Law of Cosines, relates all three sides of a triangle with an angle of a triangle. The Law of Cosines extrapolates the Pythagorean theorem for any triangle. Pythagorean theorem works only in a right triangle. Pythagorean theorem is a special case of the Law of Cosines and can be derived from it because the cosine of 90° is 0. It is best to find the angle opposite the longest side first. With the Law of Cosines, there is also no problem with obtuse angles as with the Law of Sines because the cosine function is negative for obtuse angles, zero for right, and positive for acute angles. We also use inverse cosine called arccosine to determine the angle from the cosine value.
7. Inradius
An incircle of a triangle is a tangent circle to each side. An incircle center is called an incenter and has a radius named inradius. All triangles have an incenter, and it always lies inside the triangle. The incenter is the intersection of the three-angle bisectors. The product of the inradius and semiperimeter (half the perimeter) of a triangle is its area.
8. Circumradius
The circumcircle of a triangle is a circle that passes through all of the triangle's vertices, and the circumradius of a triangle is the radius of the triangle's circumcircle. The circumcenter (center of the circumcircle) is the point where the perpendicular bisectors of a triangle intersect.
9. Calculation of medians
A median of a triangle is a line segment joining a vertex to the opposite side's midpoint. Every triangle has three medians, and they all intersect each other at the triangle's centroid. The centroid divides each median into parts in the ratio of 2:1, with the centroid being twice as close to the midpoint of a side as it is to the opposite vertex. We use Apollonius's theorem to calculate the length of a median from the lengths of its side.
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How do I write the equation of a line that goes through the points (9,-8) and (6,-8)???
Answer: y=-8
Step-by-step explanation: I will assume you want the solution in slope intercept form. First, we must find the slope of this line. Since between the two points the y value doesn't change, this means our line is horizontal. So far, we have y=0x+b, since anything multiplied by 0 is zero, we can get rid of that. This line is a horizontal line, and we have the y value, so out equation is y=-8.
hey guys i’m back again and need help LAJWNS
WILLL GIVE BRAINIEST!!!!!
Answer:
I think it's the first one if not put the last
PLS PUT ME BRIANIEST
Step-by-step explanation:
what function is f (-2)?
The value οf f(-2) fοr this functiοn is 12.
What is functiοn ?A functiοn is a mathematical rule οr prοcess that assigns a unique οutput value tο each input value. In οrder tο evaluate a functiοn at a specific input value, we need tο knοw the functiοn itself. The functiοn can be given in different fοrms, such as an equatiοn οr a graph, and we use these fοrms tο determine the οutput value fοr a given input value.
Fοr example, if we are given the equatiοn οf a functiοn\(f(x) = x^2 - 3x + 2,\) we can evaluate f(-2) by substituting -2 for x in the equation:
\(f(-2) = (-2)^2 - 3(-2) + 2 = 12\)
Therefοre, the value οf f(-2) fοr this functiοn is 12. Hοwever, if we are nοt given the equatiοn οr any οther infοrmatiοn abοut the functiοn, we cannοt determine its οutput at a specific input value.
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Complete Qustion:
How to find f (- 2 for a function?
2) After fuel prices rose by 15%, a
family's annual heating bill was £1654.
What would the bill have been without
the price increase?
Therefore , the solution of the given problem of percentage comes out to be the initial annual heating cost was about £1438,26 before the 15% increase.
What precisely is a percentage?A number or statistic that is stated as an amount of 100 is referred to as "a%" in statistics. The forms "pct," "pct," or "pc" are additionally uncommon. The common way to indicate it is with a representation "%," though. The ratio to the total sum is flat, and there are no indicators. Percentages are actually integers because they almost always add up to 100. To suggest that a number indicates a percentage, either the word "fraction" or a representation for percentage (%) must come before the number.
Here,
Assume that the annual heating expense was x prior to the 15% increase.
=> x + 0.15x = 1.15x was the new bill after the 15% price rise.
We can write: Because we are aware that the new price following the increase is £1654:
=> 1.15x = 1654
We must find x in order to determine the initial bill before the increase:
=> x = 1654/1.15
=> x ≈ 1438.26
Therefore, the initial annual heating cost was about £1438,26 before the 15% increase.
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In the diagram if m angle 8 = m angle 11 which two line (if any) must be parallel
From the information provided:
\(m<8=m<12\)We have that those angles are corresponding angles, and thus:
*The two lines that must be parallel are:
\(m\mleft\Vert n\mright?\)So, line m should be parallel with line n.
HELP PLSSS THIS IS HARD SOMEONE
Answer:
the answer is (0,1)
hope this will help you ❤️
46 = 3b + 70
What is b?
Answer:b=8
Step-by-step explanation:
3b=70-46
3b=24
b=24/3
b=8
To estimate the mean lifetime of a certain type of truck tire, a mechanic put of the tires on an -wheeler. The mean lifetime of the tires is miles, with a standard deviation of miles. The sample had no outliers and no strong skewness. Is it appropriate to use the methods of this section to construct a confidence interval for the mean lifetime of this type of tire?
No, because the sample size is insufficient and the sample does not represent a distribution that is roughly normal.
What do the numbers mean?
Statistics is the study and manipulation of data, including methods for data collection, evaluation, analysis, and interpretation. Descriptive statistics and inferential statistics are the two main subfields of statistics.
What three sorts of statistics are there?
They are (i) the mean, (ii) the median, and (iii) the mode. The study of statistics involves gathering, analyzing, interpreting, presenting, and organizing data in a particular way.
The population must have a normal distribution, or the sample size must be sufficient to use the central limit theorem, in order to generate a confidence interval. It is not appropriate to create the confidence interval for mean because neither of the two conditions were met in this instance.
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1. Describe how the line of best fit and the correlation coefficient can be used to determine the correlation between the two variables on your graph.
2. Describe the type of correlation between the two variables on your graph. How do you know?
3.Does the correlation between the variables imply causation? Explain.
4.How do you calculate the residuals for a scatterplot?
50 POINTS.
The line of best fit and the correlation coefficient are both tools that can be used to determine the correlation between two variables on a graph.
The correlation coefficient is a numerical value between -1 and 1
The type of correlation between two variables on a graph can be determined by the direction and shape of the data points.
The line of best fit and the correlation coefficient are both tools that can be used to determine the correlation between two variables on a graph. The line of best fit is a straight line that represents the trend of the data and is calculated using regression analysis.
The correlation coefficient is a numerical value between -1 and 1 that represents the strength and direction of the relationship between the two variables.
The type of correlation between two variables on a graph can be determined by the direction and shape of the data points.
If the data points are scattered randomly with no clear pattern, then there is no correlation between the variables.
Correlation between variables does not necessarily imply causation.
A correlation only shows that there is a relationship between the variables, but it does not prove that one variable causes the other.
To calculate the residuals for a scatterplot, you need to find the difference between each observed data point and the corresponding point on the line of best fit.
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Measured in inches, the widths of four quilts are consecutive multiples of three. if the four quilts are placed side by side, their combnied width is 198 inches. what is the width of the widest of the four quilts?
The width of the widest quilt among four quilts with consecutive multiples of three is 57 inches.
Let's represent the widths of the four quilts as 3x, 3(x+1), 3(x+2), and 3(x+3), where x is a positive integer. These widths are consecutive multiples of three.
We are given that the combined width of the four quilts is 198 inches. Therefore, we can set up an equation:
3x + 3(x+1) + 3(x+2) + 3(x+3) = 198
Simplifying the equation, we have:
12x + 18 = 198
Subtracting 18 from both sides, we get:
12x = 180
Dividing both sides by 12, we find:
x = 15
Thus, the widths of the four quilts are 45 inches, 48 inches, 51 inches, and 54 inches, respectively. The widest quilt among them is 54 inches, which is the width of the fourth quilt or 3(x+3). Therefore, the width of the widest quilt is 57 inches.
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Trapezoid PQRS is the image of a trapezoid ABCD after a sequence of translations.
Hint: The shapes are congruent (identical).
Tell whether each statement is True or False.
Answer:
All are true except d
Step-by-step explanation:
● a
Since both shapes are congruent, the sides AB and PQ are identical. They have the same length
● b
The same goes for these sides. They are indentical.
● c
The angles B and Q are indentical so they have the same size.
● d
The angles c and p aren't identical.
● e
Since both shapes are trapezoids
AD and BC are parallel and the same goes for PS and Qr
Can someone help me please
Answer:
1: x = 6
2: There is no solution. Sorry. (because the ending equation will be 0 = 7)
3: I can't see the other part of the equation, I need to see what the fraction is in order to solve it. If you can retake the picture, I can edit my response :)
Step-by-step explanation:
#1: 3(x-1) is pretty much just 3x-3. Simple.
Now, your equation becomes 3x-3 = 2x+9.
Arrange them so that the like terms are together.
Since you will be taking the 2x from 2x+9 over to the other side, it becomes 3x-2x-3 = 9.
Now, bring the 3 over to the side with the 9.
x = 6.
#2: Same as before, -2(x+1) is (-2x) - 2.
So, -2x-2 = -2x+5.
As I said before, you need to group the like terms together.
-2x and -2x go together, and -2 and 5 go together.
-2x+2x=5+2
0=7.
There is no solution.
#3: Like the other two, 4(x-1) is 4x-4. As for the other part, I cannot see the fraction before (x-8).
t + 4 < 13 solve the inequality of t and simplify your answer as much as possible
Answer:
9
Step-by-step explanation:
t < 13 - 4
t < 9
again as far as it goes
Which angle is an alternate exterior angle to ∠8? ∠3 ∠4 ∠5 ∠6
There is no alternate exterior angle corresponding to ∠8. ∠3 ∠4 ∠5 ∠6 are not an alternate exterior angle to ∠8
We know that alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal,
here, we have,
We have been given a geometrical figure as shown in the image.
Now we know that a pair of alternate exterior angles exist for a pair of parallel lines.
Hence, there is no alternate exterior angle corresponding to ∠8.
Therefore, there is no alternate exterior angle corresponding to ∠8.
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A person has four coins in his pocket: a penny, a nickel, a dime, and a quarter. How many different sums of money can he take out if he removes 3 coins at a time?
The person can take out a total of 12 different sums of money if he removes 3 coins at a time
There are 4 ways to choose 3 coins from the 4 coins in his pocket: (penny, nickel, dime), (penny, nickel, quarter), (penny, dime, quarter), and (nickel, dime, quarter).
Each of these combinations can be rearranged in 3 different ways, so there are a total of 43 = <<43=12>>12 different sums of money that the person can take out if he removes 3 coins at a time.
For example, the first combination of (penny, nickel, dime) can be rearranged as (penny, dime, nickel), (nickel, penny, dime), or (nickel, dime, penny).
Therefore, the person can take out a total of 12 different sums of money if he removes 3 coins at a time.
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Tell whether the ordered pair is a solution to the equation (-2, 3); y = -2x - 1
Answer:
yes, it a solution
Step-by-step explanation:
A boat can travel 285 kilometers on 95
liters of gasoline. How far can it travel
on 12 liters?