Answer:
see below
Step-by-step explanation:
2x^2-3x+
Factor out 2
2( x^2 -3/2x)
Take the coefficient of x
-3/2
Divide by 2
-3/4
Square it
(-3/4) ^2 = 9/16
This is the number inside the square
2( x^2 -3/2x + 9/16)
Multiply by 2 since that is factored on the outside
9/16 *2 = 9/8
Add to the equation
2x^2-3x+9/8
How many distinct triangles can be drawn using three of the dots below as vertices?
Answer:
The number of distinct triangles that can be drawn using the dots = 6
Step-by-step explanation:
The parameters given are;
Two rows of three evenly spaced dots
To form a triangle, two dots will be selected from 1 row while the third dot will be selected from the other row
The number of ways of selecting the dots are therefore;
₃C₂ × ₃C₁ = 3 × 3 = 9 triangles
The same procedure can be done from the top row to give another 9 triangles
Which gives the total number of triangles = 18 triangles
The number of distinct triangles are found as follows;
Given that triangles obtained from the top row are similar to those of the bottom row, we reduce the range from which the distinct triangles can be found to 19 - 9 = 9 triangles
Of the 9 triangles formed by one dot on top and two dots on the bottom, the two adjacent dots of the three dots which are on the left and on the right of the lower row of dots, form the same three triangles with the three dots on the top row
Therefore, since there are 3 sets of two dots forming 9 triangles, each pair of dots can form 3 triangles, and as mentioned, 2 pairs of dots of the 3 pairs form the same triangles making the distinct triangle = 9 - 3 = 6.
What is the simplified form of?
Answer:
-2√7(-5.291503)
Step-by-step explanation:
combine like terms
Answer:
[tex] - 2 \sqrt{7} [/tex]
Step-by-step explanation:
[tex]3\sqrt{7} - 5\sqrt{7} = - 2 \sqrt{7} [/tex]
We subtract 3 and 5 and not the numbers under the radical.
The number under the radical can be changed if multiplied or divided.
3-5=-2 or
-5+3=-2
It's like having 5 dollar debt and then paying 3 dollars, you still have to pay those 2 dollars left.
Hope this helps ;) ❤❤❤
PLEASE HELP ME!!!
ABCD is a rectangle in the coordinate plane. Give possible coordinates for the vertices of rectangle ABCD.
How do you know that your vertices form a rectangle?
Answer:
(1,1) (2,1) (2,3) (1,3) They form a rectangle because there are two pairs of parallel sides.
:)
Find the missing side length in the attached image.
Answer:
24 units.
Step-by-step explanation:
we can use concept of Thales intercept theorem in this problem
according to this theorem, if there are n lines parallel to each then and two transverse line drawn such that they intersect the three parallel line given the problem, then the parallel line divides the transverse line equal proportion.
For this problem
For the line having length 45, one of the length is 25 units,
then other length will be 45-25 = 20 unit
Now using Thales intercept theorem
30/? = 25/20
30/? = 5/4
? = 30*4/5 = 24
Thus, missing side length will be 24 units.
Find the slope of the line on the graph .
Answer: the slope is -3/2
Step-by-step explanation: The slope is negative, because the line is pointing downwards. A way I learned it that there's a skier and going up the line/mountain is "puff puff positive" and skiing down the hill is "nice and easy negative."
To figure out the exact number, take a point on the line. I chose (2,-1) I then moved down 3 ( going down makes it negative) spaces, and right two space to get to the next point. This is known as rise over run.
Hope that helped!
Answer:
[tex]-1.5[/tex]
Step-by-step explanation:
So we are asked to find the slope of the line on the graph, so let's find the two points that are actually hitting a part of the graph instead of the middle.
Looking at it, I see (-2,5) and (0,2).
So now, how many squares do we have to move to get from (-2,5) to (0,2)?
Well, we have to move 3 squares down, and 2 squares to the right.
Follow the rise over run method :
[tex]\frac{rise}{run} = \frac{-3}{2}[/tex]
Divide -3 by 2 :
[tex]-1.5[/tex]
-1.5 is the slope of the line.
pls help i give brainliest when I can [ill be fair]
Answer:
A
Step-by-step explanation:
x= 1 2/3, y=4 2/3
y=4(1 2/3)-2. y=4 2/3
y=1 2/3+3 y=4 2/3
and that make the answer going to be A. Also other answer didn't work so yet. Then, A should be the right answer!
Hope this help!
A. x = [tex]\frac{5}{3}[/tex] or [tex]1\frac{2}{3}[/tex] and y = [tex]\frac{14}{3}[/tex] or [tex]4\frac{2}{3}[/tex]
Step-by-step explanation:y = 4x - 2 ; y = x + 3
1. UNDERSTAND what you are given.
both equations solved for "y"when this is the case the easiest method is ALMOST ALWAYS SUBSTITUTION.2. SUBSTITUTION METHOD means you replace one of the variables in terms of the other to start solving.
4x - 2 = x + 3 (write eq.)
3x - 2 = 3 (combine like terms: part 1)
3x = 5 (combine like terms: part 2)
x = [tex]\frac{5}{3}[/tex] or [tex]1\frac{2}{3}[/tex] (inverse operations: division)
3. PLUG IN VALUE FOR X to solve for y. Pick the simpler equation.
y = x + 3 (pick an original equation, either will work)
y = [tex]\frac{5}{3}[/tex] + 3
y = [tex]\frac{5}{3}[/tex] + [tex]\frac{9}{3}[/tex]
y = [tex]\frac{14}{3}[/tex] or [tex]4\frac{2}{3}[/tex]
More explanations...
State whether the following is reasonable or not. Explain your answer. Josefina gave away 130% of her stamp collection.
Answer:
Hey there!
That wouldn't be possible.
130% of something is more than the total amount.
For example, if she had 100 stamps, and gave away 130%, she would have -30 stamps, which is unreasonable.
Hope this helps :)
A freight train is carrying goods across the country. The number of gallons of fuel it has used varies directly with the distance it has traveled. See the graph
below.
Answer:
0.125 miles per gallon.
Step-by-step explanation:
After 200 gallons used the freight train has traveled 25 miles. This means that we need to divide both sides by 200 to get a singular gallon's worth of miles traveled. 200/200 is 1, and 25/200 is 0.125.
---------------------
Extra
---------------------
IF it were how many gallons per mile, you would divide both answers by 25 resulting in 8 gallons per mile.
Using this coin and a number cube, which simulation would help you answer this question? A professor found that her students pass the final exam about 50% of the time. She gives the exam during the fall, spring, and summer terms. If she has 30 students during each term and you choose a student at random, what are the chances that the student passed the exam during the fall term.
Answer:
didnt understand the quedtion clearly
The graph of the function F(x) = 2x^2-8 is changed. The new graph can be
represented by the function F(X)= -2x^2-4.
Which of the following describes the changes made to the graph of the
original function?
Answer:
The graph now opens in the opposite direction. The y intercept is shifted up 4.
Step-by-step explanation:
F(x) = 2x^2-8
F(X)= -2x^2-4
We know that the graph is reflected over the y-intercept becuase of the negative sign in the second equation ( F(X)= -2x^2-4)
We know that the intercept is shifted up four, because the number decreased from 8 to 4, and the graph is reflected.
Attacthed is both of the equations graphed to help you visualize this shift!
Victor is at the art store and wants to buy a box of markers with the most number of markers to donate to a school in Haiti. The Crayola box is 2 3⁄4 inches wide and each marker is 1⁄4 inch wide. The Sharpie box is 3 3⁄5 inches wide and each marker is 4/10 inch wide. Which box of markers should Victor buy?
Answer:
Since the Crayola box contains more markers that should be the right choice.
Step-by-step explanation:
In order to calculate the number of markers each box contains, we need to divide the width of the box by the width of the markers for each box and compare their numbers. Since the lengths are given in mixed fractions, we will first convert them to pure fractions.
For Crayola:
[tex]\text{box width} = 2 + \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4} \text{ inches}[/tex]
[tex]n = \frac{\frac{11}{4}}{\frac{1}{4}} = 11[/tex]
For the Sharpie:
[tex]\text{box width} = 3 + \frac{3}{5} = \frac{15}{5} + \frac{3}{5} = \frac{18}{5} \text{ inches}[/tex]
[tex]n = \frac{\frac{18}{5}}{\frac{4}{10}} = \frac{18*10}{5*4} = \frac{180}{20} = 9[/tex]
Since the Crayola box contains more markers that should be the right choice.
Can you please say if the point will be on the line?
Answer:
The point will be on the line.
Step-by-step explanation:
Find the are of ABC with the side lengths a=8 and b=12, and included angle C=84 degrees. Round your answer to the nearest tenth
Answer:
47.7 square units
Step-by-step explanation:
It is important to know that,
The area of any triangle with two given sides and an inclusive angle = 1/2(absinθ)
In the question above, we are given the following values:
Where : a = 8, b = 12, θ = C = 84°
Area of the Triangle ABC = 1/2 ×( 8 × 12 × sin 84)
Area of Triangle ABC = 47.737050978 square units
Approximately to the nearest tenth = 47.7 square units.
Therefore, the Area of triangle ABC to the nearest tenth = 47.7 square units.
Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin of paint in his store and decides to paint the tank (not the base). If he uses 250 ml to cover 1 , will he have enough paint to cover the tank with one layer of paint? [take π=3.142]
Answer:
Yes, he will have enough paint to cover the tank with one layer of paint.
Step-by-step explanation:
We are given that Tublu buys a cylindrical water tank of height 1.4 m and diameter 1.1 m to catch rainwater off his roof. He has a full 2 liters tin of paint in his store and decides to paint the tank (not the base).
He uses 250 ml to cover 1 [tex]\text{m}^{2}[/tex].
From the question, it is clear the area of the tank which needs to be painted is the lateral surface area (because the base is not included).
The lateral surface area of the cylinder = [tex]2\pi rh[/tex]
where, r = radius of the cylinder = [tex]\frac{\text{Diameter}}{2}[/tex] = [tex]\frac{1.1 }{2}[/tex] = 0.55 m
h = height of the cylinder = 1.4 m
[tex]\pi[/tex] = 3.142 (given)
So, the lateral surface area of a cylindrical water tank = [tex]2 \times 3.142 \times 0.55 \times 1.4[/tex]
= 4.84 [tex]\text{m}^{2}[/tex].
Now, it is given in the question that; Tublu uses 250 ml to cover 1 [tex]\text{m}^{2}[/tex] area, this means that;
To cover 4.84 [tex]\text{m}^{2}[/tex] area, he will use paint = [tex]4.84 \times 250[/tex] = 1210 ml
Since he has a full 2 liters tin of paint in his store which is equal to 2000 ml but he need only 1210 ml of paint.
This means that yes, he will have enough paint to cover the tank with one layer of paint.
Sorry the question before didnt make sense.heres the full pic .
Answer:
No
Step-by-step explanation:
The question is:
Are 3/5 and 6/25 equivalent fractions?
Multiply the first fraction by 5/5:
3/5 * 5/5 = 15/25
3/5 is equivalent to 15/25
15/25 is not equal to 6/25.
Answer: No
Marty says the probability of the high school team winning the hockey game is 35%.
Karim says the probability is 2/5. Who thinks the event is more likely, Marty or Karim?
Explain
Answer:
Karim
Step-by-step explanation:
1. Turn 2/5 into a percentage by multiplying the numerator and denominators of 2/5 with 20 so the new fraction's denominator can be 100.
2. Your new fraction should be 40/100 also known as 40%.
3. Compare who's probability is more likely.
4. The answer will be (40%) Karim's.
Answer:
Karim
Step-by-step explanation:
35% is equivalent to 0.35, whereas 2/5 is equivalent to 0.40. Karim is correct; 0.40 represents a greater probability than does 0.35.
(08.03)Solve the system of equations and choose the correct answer from the list of options. d + e = 1 −d + e = −5 Label the ordered pair as (d, e). (0, 0) (3, −2) (−2, 3) (−3, 0)
Answer:
(3, -2).
Step-by-step explanation:
d + e = 1
−d + e = −5 Adding the 2 equations:
0 + 2e = -4
e = -2.
Plug this into the first equation:
d + -2 = 1
d = 1 + 2
d = 3.
Check these results in the second equation:
-3 + -2 = -5 - checks out.
Which is the solution of the quadratic equation (4y - 3)2 = 72?
y
3 +/Z and y
y=
3-6/2
4
3+62
y=
and y=
-3 – 6/2
4
4
0
y=
9/2
4
and y= -3/2
4
9/2
4.
y=
3/2
and y=
4
Answer:
Step-by-step explanation:
Let's solve (4y - 3)^2 = 72 for y. To do this, take the square root of both sides. This yields:
4y - 3 = ±√72 = ±√(36·2) = ±6√2
Then 4y = 3 ±6√2, or
3 ± 6√2
y = ----------------
4
The required solution of quadratic equation is y = (3±6√2)/4. Option A is correct.
Solution of the quadratic equation (4y - 3)2 = 72 to be determine.
Quadratic equation are the equation having maximum power 2.
Here,
(4y - 3)² = 72
4y-3 = ±√72
4y = ±√72 +3
y = (3 ± 6√2)/4
Thus, The required solution of quadratic equation is y = (3±6√2)/4.
Learn more about quadratic equation here:
https://brainly.com/question/2263981
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What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5?
18
20
21
37
Answer:
[tex]C. \[/tex] [tex]\frac{1}{2}x^3 + 3.4y = 21[/tex]
Step-by-step explanation:
Given
[tex]x = 2[/tex]
[tex]y = 5[/tex]
Required
[tex]\frac{1}{2}x^3 + 3.4y[/tex]
Substitute 2 for x and 5 for y;
The expression becomes
[tex]=\ \frac{1}{2} * 2^3 + 3.4 * 5[/tex]
Multiply 3.4 by 5
[tex]=\ \frac{1}{2} * 2^3 + 17[/tex]
---------------------------
[tex]2^3 = 2 * 2 * 2 = 8[/tex]
--------------------------
[tex]=\ \frac{1}{2} * 8 + 17[/tex]
[tex]=\ \frac{8}{2} + 17[/tex]
[tex]=\ 4 + 17[/tex]
[tex]=\ 21[/tex]
Hence;
[tex]\frac{1}{2}x^3 + 3.4y = 21[/tex]
It has been estimated that a student's final grade in a course decreases by 5 points for every 2 days absent from class . If student misses 4 days by now how many points will the students final grade decrease
Answer:
The students points will decrease 10 points in 4 days
Step-by-step explanation:
In 2 days he loses 5 points. So for 4 days all you have to do is double the amount of points because the amount of days have doubled
Please help out ASAP :)
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Hey there! :)
Answer:
4.
Step-by-step explanation:
Parallel lines contain the same slope. A line that is parallel to y = 4x + 2 has the same slope.
In this instance, a parallel line would contain a slope of m = 4.
Answer:
4
Step-by-step explanation:
Parallel lines have same slope.
WILL MARK BRAINIEST IF CORRECT FOR THE FIRST TO ANSWER!!! PLEASE HELP!!!
1. Create a data set with at least 5 values.
2. Write instructions that tell a friend how to find the mean absolute deviation of your data set.
Step-by-step explanation:
6,5,8,2,8,6,5,8,8
To find the mean you MUST add all of the numbers together
then divide by the number of numbers
this will be your mean
Then to find the absolute deviation you must find the absolute value of the numbers in this case they stay the same since the absolute value is NEVER negative....
then you need to find the data value of the entire data set
then subtract the mean from that number!
2. Company A packages roofing nails in boxes that are normally distributed with a mean of 276 nails and a standard deviation of 5.8 nails. Company B packages roofing nails in boxes that are normally distributed with a mean of 252 nails and a standard deviation of 3.4 nails. Which company is more likely to produce a box of 260 roofing nails? Explain your answer using z-scores.
Answer:
Company B
Step-by-step explanation:
We would use z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
let x = 260 with the mean μ1 = 276 and standard deviation σ = 5.8
let x = 260 with the mean μ2 = 252 and standard deviation σ = 3.4
z1 = (x- μ1) / σ = (260- 276) / 5.8 = -2.7586206897
z2 = (x2 - μ) / σ = (260 -252) / 3.4= 2.3529411765
Comparing the two z scores, we can see that company B has the probability of producing 260 nails because it has a positive z score of approximately 2.35 compared to company A with a z score of -2.76.
PLEASEEE HELPP!!! BRINLIEST TO FIRST ANSWER!!
The dance team has 9 dancers to perform different roles in each performance. The probability that the team selects the same order as last performance is 1 divided by 362880 . -Explain where each the numerator and denominator come from. -What is the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position? Assume these are not the same people. -Create a question, related to the dancers, where you use the indirect method, n(A’), to solve.
Answer:
The probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position is 1/72.
Step-by-step explanation:
It is provided that a dance team has 9 dancers to perform different roles in each performance.
The number of arrangements of the 9 dancers in the different roles is:
Number of order of performance = 9!
= 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 362880
If the team selects the same order as last performance, then the possible number of arrangements is, 1.
The probability that the team selects the same order as last performance is:
[tex]=\frac{1}{362880}[/tex]
Now it is provided that the team puts the top hip hop dancer in the third position and top break dancer in the first position.
So of the 9 positions the 1st and 3rd are occupied.
There are a remaining 7 positions to be filled by 7 dancers.
That can happen in 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 ways.
Compute the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position as follows:
[tex]=\frac{5040}{362880}\\\\=\frac{1}{72}[/tex]
Thus, the probability is 1/72.
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles
Answer:
40 + 8pi
Step-by-step explanation:
1/2 circle = 1/2 pi r-squared = 1/2x4x4x pi = 8pi
triangle = 1/2bh = 1/2x8x10 = 40
total area = 40 + 8pi
Students surveyed boys and girls separately to determine whether they wanted outdoor
recess or indoor recess. After completing the boy survey, it was determined that for
every 17 boys who wanted outdoor, 20 boys wanted indoor. The girl survey had a ratio of
3:2 of outdoor to indoor. If the same number of boys and girls were surveyed, and 85
boys chose outdoor, how many girls do you think chose outdoor?
Answer:
111 girls
Step-by-step explanation:
Given
Boys: Every 17 outdoor ≈ 20 indoor
Girls: 3:2 outdoor to indoor
First, we'll determine the ratio of outdoor to indoor for boys;
Recall that;
17 choose indoor while 20 choose outdoor;
The ratio of outdoor to indoor is;
20 : 17
Convert to fraction:
[tex]\frac{20}{17}[/tex]
Let x represent number of boys that choose indoor when 85 boys chose outdoor;
The ratio of outdoor to indoor is;
x : 85
Convert to fraction
[tex]\frac{x}{85}[/tex]
Equate both fractions
[tex]\frac{20}{17} = \frac{x}{85}[/tex]
Multiply both sides by 85
[tex]85 * \frac{20}{17} = \frac{x}{85} * 85[/tex]
[tex]85 * \frac{20}{17} = x[/tex]
[tex]\frac{1700}{17} = x[/tex]
[tex]100 = x[/tex]
[tex]x = 100[/tex]
This implies that when 85 chose outdoor, 100 chose indoor for boys;
Total = 100 + 85
Total = 185 boys surveyed
Recall that the question says the same number of boys and girls were surveyed
This implies that
Total Girls Surveyed = 185
For the girl ratio;
Outdoor to Indoor= 3:2
Number of girls that chose outdoor is as follows;
[tex]Outdoor = \frac{3}{3 + 2} * Total[/tex]
[tex]Outdoor = \frac{3}{3 + 2} * 185[/tex]
[tex]Outdoor = \frac{3}{5} * 185[/tex]
[tex]Outdoor = \frac{555}{5}[/tex]
[tex]Outdoor = 111[/tex]
Hence, the number of girls that chose outdoor is 111
What is the solution to the equation below? log 20xrise 3-2logx=4
Answer:
[tex]x = 500[/tex]
Step-by-step explanation:
Given
[tex]log20x^3 - 2logx = 4[/tex]
Required
Solve for x
[tex]log20x^3 - 2logx = 4[/tex]
Using law of logarithm which says;
[tex]nlogx = logx^n[/tex]
The expression becomes
[tex]log20x^3 - logx^2 = 4[/tex]
Also, using laws of logarithm which says:
[tex]loga - logb = log\frac{a}{b}[/tex]
The expression becomes
[tex]log(\frac{20x^3}{x^2}) = 4[/tex]
[tex]log(20x) = 4[/tex]
Also, using laws of logarithm which says
[tex]If\ loga = b\\then\ a = 10^b[/tex]
The expression becomes
[tex]20x = 10^4[/tex]
[tex]20x = 10000[/tex]
Divide through by 20
[tex]\frac{20x}{20} = \frac{10000}{20}[/tex]
[tex]x = \frac{10000}{20}[/tex]
[tex]x = 500[/tex]
Answer:
500
Step-by-step explanation:
PRE CALC, help please
Answer:
option C is correct ...Step-by-step explanation:
Because, x= -1 and x =3 are the solution of function.....HELP ASPAP!!!!! WILL MARK BRAINIEST standard deviation
Answer:
The standard deviation of the given data is 11.34.
Step-by-step explanation:
We have to find the standard deviation for the given data;
Grade on No. of students
test (X) with that score (f) [tex]X \times f[/tex] [tex]( X - \bar X)^{2}[/tex] [tex]f \times ( X - \bar X)^{2}[/tex]
50 1 50 1073.218 1073.2176
57 2 114 663.578 1327.1552
60 4 240 518.018 2072.0704
65 3 195 315.418 946.2528
72 3 216 115.778 347.3328
75 12 900 60.218 722.6112
77 10 770 33.178 331.776
81 6 486 3.098 18.5856
83 6 498 0.058 0.3456
88 9 792 27.458 247.1184
90 12 1080 52.418 629.0112
92 12 1104 85.378 1024.5312
95 2 190 149.818 299.6352
99 4 396 263.738 1054.9504
100 5 500 297.218 1486.088
Total 91 7531 11580.68
Firstly, the mean of the above data is given by;
Mean, [tex]\bar X[/tex] = [tex]\frac{\sum X \times f}{\sum f}[/tex]
= [tex]\frac{7531}{91}[/tex] = 82.76
Now, the standard deviation of the data is given by;
Standard deviation, S.D. = [tex]\sqrt{\frac{\sum f(X-\bar X)^{2} }{\sum f-1}}[/tex]
= [tex]\sqrt{\frac{11580.68}{91-1}}[/tex]
= 11.34
Hence, the standard deviation of the given data is 11.34.