By algebra properties, the values of algebraic expression x³ - 4 · x are - 3 and 0 for x² + x = 3.
How to derive the result associated to an algebraic expression
In this question we must derive the value of algebraic expression x³ - 4 · x based on the fact that x² + x = 3. First, determine the value of x by algebra properties:
x² + x = 3
x² + x - 3 = 0
x² + (2 - 1) · x + 2 · (- 1) = 0
x² + 2 · x - x - 2 = 0
x · (x + 2) - (x + 2) = 0
(x - 1) · (x + 2) = 0
x = 1 or x = - 2
The roots of x² + x = 3 are 1 and - 2.
Second, determine the values associated with the two roots found in previous step:
x = 1
y = x³ - 4 · x
y = 1³ - 4 · 1
y = 1 - 4
y = - 3
x = - 2
y = x³ - 4 · x
y = (- 2)³ - 4 · (- 2)
y = - 8 + 8
y = 0
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A teacher is experimenting with computer-based instruction. In which situation could the teacher use a hypothesis test for a population mean?.
the correct option is : (i)
She gives each student a pretest. Then she teaches a lesson using a computer program
What is Hypothesis testing?
Hypothesis testing is the process of evaluating two frequently contradictory claims based on population data and test data.
The appropriate response is provided by choice (i).
Simply said, a hypothesis is a supposition that we form based on our perceptions.
Therefore, statistics is all about information, a vast amount of information that is as valuable to us as information if we can analyze it and eventually come to some conclusions about it. To find out interpretation and conclusions about the information we mostly use.
Therefore,
the correct option is (i)
She gives each student a pretest. Then she teaches a lesson using a computer program. Afterward, she gives each student a pretest. The teacher is interested in seeing if the disparity in results indicates an improvement.
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I understand that the question you are looking for is:
"A teacher is experimenting with computer-based instruction. In which situation could the teacher use a hypothesis test for a difference in two population means?
(i) She gives each student a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a posttest. The teacher wants to see if the difference in scores will show an improvement.
(ii) She randomly divides the class into two groups. One group receives computer-based instruction. The other group receives traditional instruction without computers. After instruction, each student has to solve a single problem. The teachers wants to compare the proportion of each group who can solve the problem.
(iii) She gives each student a pretest. She then randomly divides the class into two groups. One group receives computer-based instruction. The other group receives traditional instruction without computers. After instruction, each student takes a post-test. The teacher compares the improvement in scores (post-test minus pretest) in the two groups.
(iv) The teacher uses a combination of traditional methods and computer-based instruction. She asks students which they liked better. She wants to determine if the majority prefer the computer-based instruction."
HELP ASAP AND GET 20 POINTS!!!
Answer:
A
Step-by-step explanation:
point H is the point of intersection of the perpendicular bisectors of the triangle's sides and is the circumcentre.
Answer:
A. Circumcenter
Step-by-step explanation:
this is the point that has the same distance from all 3 vertexes.
being on the median line of DE, every point of that line has the same distance to D and E.
being also on the median line of FE means it has the same distance from F and E as every other point on that line.
and the same for DF.
H as the crossing point of all 3 median lines is the only point that has the same distance to D, E and F.
so, H is the center of a circle that goes through all 3 points.
Use the scale of 1cm=45 km
The actual distance between two cities is 333 km. What is the distance between them on the map
Answer:
d = 7.4 cm is the distance between the two cities on the map.
Step-by-step explanation:
Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.
Since the scale on the map is 1 cm = 45 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/45 km; therefore the quotient of any measured distance d on the map divided by the corresponding much longer actual distance D would have to maintain (equal) this same ratio; In other words, we can set up the following proportion to solve for d given the actual distance D = 333 km as follows:
1 cm/45 km = d/D
Substituting, we get:
1 cm/45 km = d/333 km
d/333 km = 1 cm/45 km
(d/333 km)(333 km) = (1 cm/45 km)(333 km)
d = (333 km/45 km)(1 cm)
d = 7.4 cm is the distance between the two cities on the map.
Check:
1 cm/45 cm = d/333 km
1 cm/45 cm = 7.4 cm/333 km
1 cm/45 cm = 1 cm/45 km (Therefore, the distance ratio of the map has been maintained
Factor this polynomial.
-3x²-5x-2
A. (-3x+2)(x+1)
B. (3x-2)(x-1)
C. (3x+2)(x-1)
D. -1(3x+2)(x+1)
Answer: D. -1(3x+2)(x+1)
Step-by-step explanation: First, use the F.O.I.L. method (First, Outer, Inner, Last). Then combine all your like terms. After, multiply the whole outcome by negative one. So, 3[tex]x^{2}[/tex] turns into -3[tex]x^{2}[/tex]; 5x turns into -5x; and 2 is -2. BOOM! you got the exact right answer.
O 40
O 13
O 80
05
R
T
8x
12x + 20
rationalize the denominator !!!
please need help giving brainliest to all recent questions asked on my profile!!
Answer:
[tex]\frac{1\cdot \left(4+\sqrt{3}\right)}{\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right)}\\[/tex]
[tex]1\cdot \left(4+\sqrt{3}\right)=4+\sqrt{3}[/tex]
[tex]\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right) = 13[/tex]
[tex]= \frac{4+\sqrt{3}}{13}[/tex]
x = 4
y = 3
z = 13
Answer:
x = 4, y = 3, z = 13
Step-by-step explanation:
Multiply the equation by the opposite of the denominator
[tex]\frac{(1)(4 + \sqrt{3}) }{(4-\sqrt{3})(4+\sqrt{3} ) } \\\\\frac{4 + \sqrt{3} }{16 - 4\sqrt{3} +4\sqrt{3} -3} \\\\= \frac{4+\sqrt{3} }{13}[/tex]
WILL GIVE BRAINLIEST FOR CORRECT ANSWER AND EXPLANATION Belinda is buying fencing for her vegetable garden to keep her dogs out. The length of her garden is 15.6 feet, and the width is 10.8 feet. How much fencing material should she purchase to build the fence around the garden?
A. 168.48 ft
B. 54 ft
C. 52.8 ft
D. 26.4 ft
Answer:
C. 52.8 ft.
Step-by-step explanation:
Calculate the perimeter of the garden
[tex]P=2l+2w=2(15.6)+2(10.8)=31.2+21.6=52.8[/tex]
The perimeter represents the length of the fencing material she needs
Hope this helps
Answer:
52.8 if u give me brainliest tht will be so help full:)
Step-by-step explanation:
A hat contains slips of paper with the letters A-Z printed on them. If you draw one at random, what is the probability that you will get a vowel?
The probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is 5/26
What is probability?Probabilities are used to determine the chances, likelihood, possibilities of an event or collection of events
How to determine the probability?The given parameters are:
Letters = A - Z
Vowels = A, E, I, O and U
The above means that the number of letters and vowels are
n(Letters) = 26
n(Vowel)
The probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is
P(Vowel) = n(Vowel)/n(Letters)
Substitute the known values in the above equation
P(Vowel) = 5/26
Hence, the probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is 5/26
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HELP ASAP PLEASE
Kaydence is saving for an RR$P. She saved $100 the first year, $200 the second year, $300 the third year, and so on. If she put $100 away on January 1, 2014. $200 away on January 1, 2015, and continued to put money away on the first of each year, how much money would Kaydence have saved by the end of the day on January 1, 2050?
Based on the information given, the total money that is expected Kaydance save is $70300
How much money will Kaydance save every year?It is known she started saving $100 and each year she saves $100 more than the previous year. Also she will save a total of 36 years. This will be equal to:
100+200+300+400+500+600+700+800+900+1000+1100+1200+1300+1400+1500+1600+1700+1800+1900+2000+2100+2200+2300+2400+2500+2600+2700+2800+2900+3000+3100+3200+3300+3400+3500+3600+3700
How much money will she save in total?100+200+300... = $70300
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Write an equation of the line that passes through (2, 0) and is perpendicular to the line
y = -x-3.
An equation of the perpendicular line is y =
Answer:
y =x - 2
Step-by-step explanation:
If the slope of the line is 'm', then the slope of the perpendicular to the given line = [tex]\sf \dfrac{-1}{m}[/tex] (opposite reciprocal)
y = -x - 3
Compare with equation of line in slope y-intercept form: y = mx +b
m = -1
[tex]\sf \text{Slope of the perpendicular line = $-(\dfrac{1}{-1})= 1$}[/tex]
This line passes through (2, 0);
Equation of the line in slope - point form:
[tex]\sf y - y_1 = m(x - x_1)[/tex]
y - 0 = 1 (x - 2)
y = x - 2
Does the expected value of a random variable have to equal one of the possible values of the random variable? explain
No, just like the average (mean) it is a mathematical quantity that is determined by its mathematical definition and the everyday meaning of “expected” is only a descriptive hint toward what it represents.
What does the expected value of a random variable mean?
E[X] stands for the expected value of a random variable. The expected value of a random variable is also known as its mean, in which case we use the notation X. It can be thought of as the "average" value obtained by the random variable.Is the expected value always equal to the mean?
The primary distinction between "mean" and "expected value" is that the former is typically used to describe a frequency distribution and the latter, a probability distribution. In frequency distribution, variables and their occurrence frequencies make up the sample space.Learn more about expected value of a random variable brainly.com/question/22435257
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A triangular metal plate has base measuring 18 cm. Its height is unknown.
What equation models the area of this plate?
Let A represent the area, b represent the base, and h represent the height of the plate.
The model is based on the formula for the area of a triangle.
The area as a function of the height H is:
[tex]A= 9cm*H[/tex]
Which equation models the area of the metal plate?
We know that for a triangle of base B and height H, the area is given by:
[tex]A = \frac{B*H}{2}[/tex]
In this case, we already know that the base measures 18cm, then the formula for the area as a function of the height H is:
[tex]A= \frac{18cm*H}{2} = 9cm*H[/tex]
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I NEED HELP W THIS QUICK FIRST TO ANSWER CAN HAVE BRAINLIEST I GUESS
i added more pts cus idrc for em
Answer:
1. Multiply the slope by 2 and look at the numerator
2. 5/7
3. slide A
4. The run of slide a is shorter which means that its steeper because the rise is the same
5. 10
6. 5 units?
Step-by-step explanation:
#1
We would use the slopeWe know
slope=tanØ
Here in slide B
tanØ=5/9But
tanØ=Ladder/18Then
9Ladder=90Ladder=90/9=10ft#2
The slope of slide A
tanØ=15/21tanØ=5/7#3 and 4
Compare tangents
tan(5/7)>tan(5/9) as their difference is +veSlide A is steeper
#5
Found in #1
#6
Slide A is higher as 15>10
HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I well give 100 point and a crown but need to be answer in less then 20 mins
If I have 419 assignments to do and i have pleated completed 79 how much work will I need to do every day to finish in one week
Answer:
Step-by-step explanation:
419-79= 340 assignments left to do
340/7days=48.57..... or about 46 assignments a day to finish them all in a week
(1 week= 7 days)
I don't know if you were serious but good luck with all the work if you are
Answer:
47 on 6 days and 48 on 1 day.
Step-by-step explanation:
Firstly you need to subtract 79 from 419. You will have 330 assignments left and the divide 330 by 7 since there are 7 days in a week and you get 47.142 and so if you double check by multiplying 47 times 7 it gives 329 so then you get 47 on 6 days and 48 on 1 day. Hope this helps!
ABCD is a square.
Square A B C D is shown. A diagonal is drawn from point A to point C. The measure of angle B A C is question mark.
What is the measure of angle BAC?
30°
45°
60°
90°
Since ABCD is a square, and AC is the diagonal of the square, therefore, then, angle BAC would be Option B. 45°
What is square?A square is known as a quadrilateral with four interior angles of 90° each, and four equal sides.
Properties of a square include
The interior angles are equal to 90°All the sides are congruent or equal The opposite sides are parallel The diagonals of the square bisect each other at 90 degreesThe two diagonals are equalAngle BAC is half the angle of the diagonal
= 90/2 = 45°
Thus, since ABCD is a square, and AC is the diagonal of the square, therefore, then, angle BAC would be Option B. 45°
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how many 3cm cubes can be put in a box 3cm long 6cm wide 12cm high?
Answer:
8
Step-by-step explanation:
A cube is equal on all sides. Therefore the cubes must be 3cm x 3cm x 3cm. Therefore, each cube has an area of 27cm^3. The box that the cube has an area in is 3cm x 6cm x 12 cm which = 216cm^3. If you do [tex]216cm^3/27cm^3 = 8 cubes[/tex]
Which of the following segments is a diameter of o
Answer:
Segment UF
Step-by-step explanation:
Diameter is a line that passes through the center and meets the circumference at opposite ends.
Segments OF and WO are radii, and segment WM is a chord.
Marco built a circular table that has a radius of 3 centimeters. what is the diameter of the table ?
Answer:
Diameter = 2 x Radius / The answer should be 6.
Step-by-step explanation:
D = 2 x 3
= 6
I don’t know what the second part of the question means
Answer:
Hello!
independent variable: variable in an experiment that is changed e.g. a plant's exposure to light
dependent variable: variable in an experiment that is measured e.g. a plant's height
The question is just asking to identify these variables.
Hope this helps! Feel free to ask further questions if need be.
In the figure, is the perpendicular bisector of .
Prove:
A line CD is a perpendicular bisector of another line AB. A triangle is drawn by the points of A, B, and C.
Complete the proof.
CD is the perpendicular bisector of another line AB which can be proven below.
What is perpendicular bisector?Perpendicular bisector is a line that divides another line into two equal halves in such a way that it creates an angel of 90°.
To proof that CD is the perpendicular bisector of another line AB the following is carried out;
Draw a line segment AB with length of about 5 cm.With any radius greater than 2.5 cm, and compass fixed at A, draw 2 arcs, one above and one below AB.With the same radius, compass at B, cut the 2 arcs drawn in step 2.The line joining these two arcs is the perpendicular bisector of AB.Learn more about perpendicular lines here:
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Answer:
heres what i got
Step-by-step explanation:
2. definition of a perpendicular bisector
5. reflexive property of congruence
11. definition of square root
Please help due right now !! pls show work thank uuuuu
Answer:
x=9.73
Step-by-step explanation:
This is trigonometry work! :)
So cos46°=x/14
x=14×cos46°
x≈9.73
Hope this helps <3
A freezer is shaped like a rectangular prism. It has a length of 8 feet and a height of 3 feet. The volume is 54 cubic feet. Find the width of the freezer.
Answer:
2.25 ft
Step-by-step explanation:
Volume = length x height x width
54= 8 x 3 x ?
Combine: 54= 24 x ?
Find ?: 54/24=2.25
Recheck: 24 x 2.25 = 54
problem plot two points that are 8 88 units from point b bstart color #11accd, b, end color #11accd and also share the same x xx-coordinate as point b bstart color #11accd, b, end color #11accd.
The two points are B'=(-6,-8).
What is the plot?A plot is a graphical technique for depicting data collection, typically in the form of a graph that depicts the relationship between two or more variables. The storyline can be created either by hand or by computer. Previously, mechanical or electrical plotters were used.To plot the points:
Plot a new point that is 8 units down and also has the same x coordinate.
Given - Point B = ( -6, 0 )
Represent the new point with B':
In Point B = ( -6, 0 )
[tex]x=-6,y=0[/tex]
This means that B' has an x coordinate of -6.
Next, is to determine the y coordinate:
If a point (x,y) is translated b units down, the new point is (x, y, -b)
In this case:
The y coordinate of B is 0 and b = 8.
So, the new y coordinate is 0 - 8 = -8
So, we have B'=(-6,-8).
Therefore, the two points are B'=(-6,-8).
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Last year, during an investigation of the time spent reading e-mails on a daily basis, researchers found that on Monday the average time was 50 minutes. Office workers claim that with the increased spam and junk mail, this time has now increased. To conduct a test, a sample of 25 employees is selected with the following results: sample mean
The sample mean value is 0.26.
According to the statement we have given that the
Monday the average time was 50 minutes and we have to find the sample mean.
So, the values become
H(not):μ≤50
H(a):μ>50
Right Tail
The significance level, of the given number of employees then
α=0.05
And The value of sample mean, is
Z=x - u/i*(n)^1/2
then the value becomes
Z = 5.6 - 5/1.2*(25)^1/2.
then after calculating
Z= 1.6/1.2*5
Z= 0.26 And
Here The value of sample mean is 0.26.
So, The sample mean value is 0.26.
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Can someone help me with these problems and show work please !!
Answer:
I have just wrote answers
There are 4 books on a shelf. books are added to the shelf at a rate of 2 books per minute. the total number of books on the shelf, y, is a function of the number of minutes, x, that the books have been added to the shelf. write an algebraic equation for the function.
The algebraic equation to represent the given situation is as follows,
y = 4 + 2x
What is an algebraic equation?
The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables.
An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.).
Forming the Algebraic Equation
Number of book present on the shelf initially = 4
It is given that 2 books are added per minute to the shelf.
If x is the number of minutes, then the books added will be 2x.
If y is the total number of books present on the shelf, then the algebraic equation is given as,
y = Number of books initially present on the shelf + 2x
⇒ y = 4 + 2x
Thus, y = 4 + 2x is the required algebraic equation.
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If a movie starts at 13:35 and it lasts 1 hour and 27 minutes. What time does it end at?
Answer:
15:02 or 3:02 pm
Answer:
[tex]13.35 + 1.27 = 14.62 \\ \\1 hr = 60min \\ 62 min- 60min =2min \\ 14hr + 1hr = 15hr \\ \\it \: ends \: at \: 15.02[/tex]
Use vector operations to draw the resultant vector. Draw u – v + w
Based on the above, the graph of the resultant vector is shown in the image attached (x-axis).
What is the graph about?In the graph construction, We need to carry out a sum of vectors and then draw the resultant vector.
Note that the resultant vector need to be <4, 0>
Hence when we view the graph attached, we can say that the vectors areas:
w = <3, 3>
u = <-3, -4>
v = <-4, -1>
So, the sum = u - v + w
Note also that in the sum of the vectors we need to add and subtract the correspondent parts and it will be:
u - v + w
= <-3, -4> - <-4, -1> + <3, 3>
= <-3 + 4 + 3, -4 + 1 + 3>
= <4, 0>
Therefore, Based on the above, the graph of the resultant vector is shown in the image attached (x-axis).
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Ummm can y’all solve these problems I’ll give extra points for this
Pls solve step by step and label which is which
Beau Thai has a rectangular mirror with a length of 6 inches and a width of 10 inches.
a) How much ribbon could Beau wrap around the outside of the mirror?
b) What is the area of Beau Thai's mirror?
a. Amount needed to wrap the outside of the rectangular mirror around = 32 inches.
b. Area of the Beau Thai's rectangular mirror around = 60 square inches.
What is the Area of a Rectangle?Area of a rectangle = (l)(w), where l is the length and w is the width of the rectangle.
What is the Perimeter of a Rectangle?Perimeter of a rectangle = 2(l + w), where l is the length and w is the width of the rectangle.
a. The amount of ribbon that can be used to wrap the outside of the mirror around can be determined by using the formula for the perimeter of a rectangle.
Length of rectangular mirror = 6 inches
Width of rectangular mirror = 10 inches
Perimeter = 2(6 + 10)
Perimeter = 2(16)
Perimeter = 32 inches
Amount needed to wrap the outside of the rectangular mirror around = 32 inches.
b. The area of Beau Thai's rectangular mirror can be determined by using the formula for the area of a rectangle.
Length of rectangular mirror = 6 inches
Width of rectangular mirror = 10 inches
Area = (6)(10)
Area = 60 square inches
Area of the Beau Thai's rectangular mirror around = 60 square inches.
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