Answer:
84
Step-by-step explanation:
A traingle's area is base x height / 2.
21 x 8 = 168
168/2 = 84
Answer:
84 ft2 (D.)
Step-by-step explanation:
I just finished the test and got an 100% :)
what is the mean of 6,5,4,5,8,2
Answer: 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
5
What is the volume of a cube whose one side is 5cm
Answer:
125 cm^3
Step-by-step explanation:
The volume of a cube is given by length*width*height. In a cube, all sides are the same. Therefore, you can put in (5cm)*(5cm)*(5cm) and get 125 cm^3
I need help solving this problem.
(f+g-k)(x) means to add the equations f(x) and g(x) then subtract k(x)
2x^2 + 3x + 4x - 9 = 2x^2 +7x -9
2x^2 + 7x - 9 - x^2 -7x = x^2 -9
The answer is : x^2 - 9
The answer I got is x^3 + 14x - 9x
In your backpack there are three math books, two science books, and five notebooks. If you reach into your backpack and select a math book, and then reach in and select a notebook, are these independent events? Explain.
A. No. You did not replace the first book, so that changed the probability that you would draw a notebook second.
B. Yes. The probability of drawing a notebook was the same regardless of replacing the math book.
C. No. These are dependent events and you can calculate the probability of this outcome using the formula
D. Yes. You can use this formula to calculate the probability of this outcome
Branliest to correct answer
the length of a Ribbon is 11.55 metre if it is cut into pieces and divided equally among 7 Girls how much ribbon will each get find
Answer:
1.65 meters
Step-by-step explanation:
11.55 meters divided by 7 is 1.65 meters
Answer:
1.65 metres per girl
Step-by-step explanation:
Divide 11.55 (length) of ribbon by 7 girls (11.55/7). You get 1.65 metres.
You have $2,000 on a credit card that charges a 17% interest rate. If you want to pay off the credit card in 4 years, how much will you need to pay each month (assuming you don't charge anything new to the card)? Disclaimer: this is treating credit cards as an amortized loan, which they are not.
Answer:
$65?
Step-by-step explanation:
Page 2
QUESTION 1
1.1 Factorise the following expressions fully:
(2)
1.1.1
4x - x²
1.1.2
(2)
x² – 8y3
(2)
1.1.3
x² + 15x - 54
6x2y - 10xy + 15x - 25
1.1.4
(3)
help me understand this I'm new to this
9514 1404 393
Answer:
x(4-x)no factorization. x² -8y³(x +18)(x -3)(2xy +5)(3x -5)Step-by-step explanation:
Factoring is taking apart products. It helps immensely if you are familiar with how products are formed. That is, it helps to be familiar with your multiplication tables and the rules of divisibility. It also helps to have thorough understanding of the distributive property and the forms produced by the multiplication of binomials.
The first step is to look for any factors that are common to all of the terms you are factoring. Next steps include ...
look for any special forms (square of binomial, difference of squares, sum or difference of cubes)see if factoring by grouping can work.__
1.1.1 4x -x^2
There is only one constant, so no constant factors. The variable x appears in all terms, with a lowest power of 1, so x^1 = x is a factor.
= x(4 -x) . . . . . . . cannot be factored further
__
1.1.2 x² -8y³ . . . . we assume this is the intended expression. (It helps to use appropriate (and consistent) exponent presentation: x^2 -8y^3, or x² -8y³.
There are no common numerical factors, no common variable factors, and the form is not the difference of squares or cubes. This expression cannot be factored.
__
1.1.3 x² +15x -54
This is a trinomial in a single variable (x), so may be factorable as the product of two binomials. The product of binomial factors will have the form ...
(x -p)(x +q) = x² +(q-p)x -pq
This means we are looking for two factors of 54 that have a difference of 15. Here is where your familiarity with numerical factoring is helpful.
54 = 54×1 = 27×2 = 18×3 = 9×6
Differences of the factors are 54-1=53, 25, 15, 3. The factor pair we're looking for is 18×3. Comparing that to the above form, we see that q=18 and p=3, so the factorization is ...
= (x -3)(x +18)
__
1.1.4 6x²y -10xy +15x -25
There are no numerical or variable factors that are seen in all terms. However, we notice that pairs of terms have common factors. Factoring those out gives ...
= (2xy)(3x -5) +5(3x -5)
At this point, we notice that (3x -5) is a factor of both of these terms, so we can factor it out. This gives the complete factorization ...
= (2xy +5)(3x -5)
_____
Additional comment
Many methods are promoted for factoring trinomials. It is helpful to understand that the product of factors looks like ...
(ax +b)(cx +d) = acx² +(ad+bc)x +bd
That is to say, the product of the x² coefficient and the constant term (ac·bd) will have factors (ad, bc) that have a sum equal to the linear term coefficient. Once you realize this, finding the factorization is not so difficult. You look at the factor pairs of abcd in the same way we looked at factor pairs of -54 in problem 1.1.3 above.
Dylan is creating clay at home for an art project. The recipe calls for 6 cups of water and 5.5 cups of flour. Dylan would like to make more clay than the recipe calls for and so he puts 44 cups of flour in the bowl instead. How many cups of water should he use?
Answer:
48 cups of water
Step-by-step explanation:
Using the provided ratio of 6:5.5...
if 6:5.5
then
48:44
Find the area of a parallelogram with vertices (-7, 2), (6, 2), (6, -5), and (-7, -5). Use the coordinate grid below to help you find your answer.
Answer:91
Step-by-step explanation:
an employee at the metropolitan museum of art surveyed a random sample of 150 visitors to the museum. of those visitors, 45 people bought food at the cafeteria.based on those results, how many people out of 1750 visitors to the museum would be expected to buy food for the cafeteria?
Answer:
525 people would be expected
Step-by-step explanation:
45 out of 150 or 45/150 is simplified to 3/10
1750 people * 3/10 = 525
Answer:
525 is the answer
Step-by-step explanation:
3. Use computer drawing software to construct a quadrilateral with
two pairs of parallel sides and two angles measuring 125°. What
geometric shape describes this quadrilateral?
9514 1404 393
Answer:
parallelogram
Step-by-step explanation:
A shape with two pairs of parallel sides is a parallelogram. If an angle is something other than 90°, then the figure is not a rectangle.
Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term
is two times the fifth term. Find the common difference and the first term.
Answer:
The first term is -6 and common difference is 3
Step-by-step explanation:
The nth term of an arithmetic progression is expressed as;
Tn = a + (n-1)d
T3 = a+2d
T4 = a + 3d
If the third term of an arithmetic sequence less than the fourth term by three
T3 = T4 - 3
a+2d = a+3d - 3
2d - 3d = -3
-d = -3
d = 3
Similarly;
T7 = a+6d
T5 = a+4d
If the seventh term is two times the fifth term, the;
T7 = 2T5
a+6d = 2(a+4d)
a+6d = 2a+8d
Since d = 3
a + 6(3) = 2a + 8(3)
a+18 = 2a + 24
a-2a = 24 - 18
-a = 6
a = -6
Hence the first term is -6 and common difference is 3
If a cube has a volume of 1/8 cubic units, what is the area of one or its faces?
Answer:
The area of one of the faces of the cube is equal to 1/4 cubic units.
Step-by-step explanation:
Given that a cube has a volume of 1/8 cubic units, to determine what is the area of one of its faces, the following calculations must be performed, knowing that the volume of a cube is equal to the value of one of its sides cubed , and the area of one of its faces is equal to the multiplication between its base and its height:
1/8 = 0.125
3√0.125 = 0.5
0.5 x 0.5 = 0.25
0.25 = 1/4
Therefore, the area of one of the faces of the cube is equal to 1/4 cubic units.
is there an Outlier ? 7, 6, 4, 8, 6, 5, 51, 2, 5, 7, 8, 4, 5, 6,
Answer: Yes there is an outlier.
Step-by-step explanation: 51 is the outlier.
Need answer asap, correct answer will get brainliest.
Answer: Second choice
Step-by-step explanation: Think of it as "folded on" x axis insted of "reflected on" to help visualize.
PLS HELP
Pilar is playing with a motorized toy boat. She puts the boat in a lake and it travels 400m at a constant speed. On the way back to Pilar, the boat travels the same route at the same speed for 2 minutes, and then Pilar uses the remote control to increase the boat's speed by 10 m/min. So the return trip is 60 seconds faster. How long does the return trip take?
Answer:
7 minutes
Step-by-step explanation:
the trip takes 7 mins
Pilar puts the boat in a lake that travels 400 meters at a constant speed. The time. On the return, the speed was the same for 2 minutes and then increase by 10m/min. The time boat takes in return back = 8 minutes
Solution for the time taken by speed changeThe given information states that the away distance the boat traveled = 400 m
The time traveled at the same initial speed, v₁, by the boat on the way back = 2 minutes.
The increase in speed of the boat by Pilar = 10 m/min
The new speed, v₂ = v₁ + 10
The time for the return trip, t₂ = 60 seconds (1 minute) faster than the time for the trip, t₁
[tex]t_2 = t_i - 1[/tex]
Therefore we have;
[tex]v_i\times t_i = v_i \times 2 + v_2 \times (t_2-2) \\= 400\\v_i \times 2 + (v_i + 10) \times (t_2-2) = 400\\(v_i + 10) \times t_2 - 20 = 400\\[/tex]
but
[tex]v_i = \frac {400}{t} = \frac{400)}{t_2+ 1}[/tex]
Which gives;
[tex]\frac{(400) }{(t₂ + 1} + 10) \times t_2 - 20 = 400\\10\times ( t_2²+ 36·t_2-2)/(t_2+1) = 40010 \times t_2^²+ 10 \times t_2-420 = 0[/tex]
[tex]t_2^2+ t_2-42 = 0[/tex]
[tex](t_2 - 7)(t_2 + 6) = 0[/tex]
[tex]t_2 = 7[/tex] minutes or [tex]-6[/tex] minutes
Given that t₂ is a natural number, we have,
t₂ = 7 minutes
Whereby, [tex]t_2 = t_i - 1[/tex], we have;
[tex]7 = t_i - 1[/tex]
[tex]t_{i} = 1 + 7 = 8[/tex] Minutes
The trip normally takes 8 minutes
Learn more about speed and distance:
https://brainly.com/question/4931057
Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 10,800; SSTR = 4560.
Required:
a. Set up the ANOVA table for this problem.
b. Use α= .05 to test for any significant difference in the means for the three assembly methods.
Answer:
H0 is rejected.There difference in the means for the three assembly methods.
Step-by-step explanation:
Calculating gives the following results.
ANOVA Table
Source DF Sum Mean F Statistic
of Square Square
Treatments 2 4560 2280 9.865
(between groups)
Error 27 6240 231.111
Total 29 10,800
Error SS= SST -SSTR = -10,800-4560=6240
d.f for SSTr = r-1= 3-1
D.f for SST= n-r= 30-3= 27
Total D.f= d.f for SSTr+D.f for SST= 27+29
MSTR= SSTR/d.f= 4560/2= 2280
MSError= Error SS/ d.f= 6240/27=231.111
F test= MSTR/ MsError= 2280/231.11= 9.865
The P- value < 0.01 which is less than 0.05 therefore H0 is rejected.
There is sufficient evidence to reject H0.
Please need help on this
Step-by-step explanation:
Standard form is
[tex] {x}^{2} + {y}^{2} + ax + by + c = 0 \\ [/tex]
[tex] {x}^{2} + {y}^{2} - 18y + 5 = 0[/tex]
Plot points on the number line to represent all whole numbers that round to 200 to the nearest hundred and 250 when rounded to the nearest ten.
Answer:
To round a number to the nearest hundred, you make it into the hundred that is closest. Take the number 246, for example, which is between 200 and 300. It is closer to 200. So 246 rounded to the nearest hundred is 200.
please help! which angles are congruent?
Answer:
All of the angles
Step-by-step explanation:
All of the angles
Answer: Opposite angles
Step-by-step explanation: As you can see, angles B and D are opposite from each other and they have matching angles. Angles A and C are opposite from each other and they have matching angles. So the opposite angles are congruent. Congruent = identical
4.
What equation has the missing number?
50/5=
?
a. 50 x 5 =
b. 50-5=
c. 5+) = 50
d. 5x = 50
What is the length of side 'y'?
Answer:
B
Step-by-step explanation:
A 2-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles. The radius of the inner circle is 74 ft. How much farther does a wheel on the outer travel than a wheel on the inner rail of the track in one turn ?
Answer:
As we know the formula for "Circumference of circle": Since we have also mentioned that there is 2 feet wide circular track for a camera dolly. Therefore, A wheel on the outer rail travel 12.57 ft more than a wheel on the inner rail of the track.
Step-by-step explanation:
i hope it helped
if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00
Answer:
B
Step-by-step explanation:
Probability of getting 9 or 11 = 2 /6 =1/3
Probability of getting tails in coin = 1/ 2
Probability of getting 9 or 11 AND tails in coin toss = 1/2 * 1/3
= 1/6
Find the quadratic root of 3 x² - 4x + 2
Answer:
it has no real roots.
and the 2nd answer is correct.
Step-by-step explanation:
Answer:
this quadratic equation has two roots:
x = (2+i√(2))/3 , (2-i√(2))/3
Steps:
3x²-4x+2=0
x = (4±√((-4)²-4×3×2))/2×3
x = (4±√(16-24))/6
x = (4±√(-8))/6
x = (4±√(-2×4))/6
x = (4±√(-2)×√(4))/6
x = (4±i√(2)×2)/6
x = (2±i√(2))/3
x = (2+i√(2))/3 , (2-i√(2))/3
A)32 ft
B) 60 Ft
C) 72ft
D) 96ft
Answer:
96
Step-by-step explanation:
16 * 6 = 96
My friend is stuck in this question what should I do it’s due 1 hour ASAP
Answer:
1.Polygon
TriangleRightObtuseAcuteEquilateralStep-by-step explanation:
Notice that
1. A triangle is a Polygon.
2. The triangle can be classified into Right, Obtuse, and Acute triangles.
3. An acute triangle is a triangle in which each angle is a acute angle. All acute triangle angles are less than 90 degrees. For example, an equilateral triangle is always acute, since all angles( which are 60) are all less than 90.
Taking into account the above, we have that the concept map can be filled.
Then, the unlock code is PTROAE
John needs to divide the sample in half once the number of bacteria has reached 1000. How many hours after the initial time must be divide the sample?
Answer:
Option A
Step-by-step explanation:
The complete question is attached here
The rate of increase of bacterial population be K
As we know
[tex]Y = Y_0 * e^{kT}[/tex]
where Y is the final population. In this case it is 1000
K is the rate of increase of population i.e 3 times per hour
T is the time in hours
Y0 is the initial population = 5
Substituting the given values, we get -
[tex]1000 = 5 *e^{3*T}\\200 = e^{3*T}[/tex]
Taking log on both sides, we get -
ln [tex]200[/tex] = ln [tex]e^{3T}[/tex]
[tex]2.718 * 2.301 = 3T[/tex]
T = 2.084 hours
hence, option A is correct
The number of hours required after the initial time must be divide the sample by John is 2.084 hours.
What is an exponential function?Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
The exponential function with dependent variable y and independent variable x can be written as,
[tex]y=ba^x+c[/tex]
Here, a, b, and c are the real number
John needs to divide the sample in half once the number of bacteria has reached 1000.
The table of this bacterial growth is,
Time(hours) Number of bacteria
0 5
1 15
2 45
The rate of increasing the bacteria each hour is,
[tex]x=\dfrac{15}{5}=3\\x=\dfrac{45}{15}=3[/tex]
Thus, the exponential rate is 3.
Now the number of reached is 1000, and the initial population was 5. Therefore, for the time t, the exponential function can be given as,
[tex]1000=5e^{3t}\\\dfrac{1000}{5}=e^{3y}\\200=e^{3y}[/tex]
Taking log both the sides as,
[tex]\ln (200)=\ln e^{3t}\\2.301=0.434({3t})\\t=2.084[/tex]
Hence, the number of hours required after the initial time must be divide the sample by John is 2.084 hours.
Learn more about the exponential function here;
https://brainly.com/question/15602982
the co-terminal angle of -120°
Answer:
-480°, 240° (among others)
Step-by-step explanation:
± 360
I need help on this!!
Answer:
C and A
Step-by-step explanation:
Part 1.
The area of a trapezoid is base 1 + base 2 divided by 2 times height.
Base 1 is 38, base 2 is 14, and the height is 16.
38 + 14 = 52, 52 / 2 = 26, and 26 x 16 = 416.
The answer is C, 416.
Part 2.
The area of a kite is diagonal 1 times diagonal 2 divided by 2. The length of diagonal 1 is 12 (on the left) + 12 (on the right) = 24. The length of diagonal 2 is 10 (on the top) + 18 (on the bottom) = 28.
28 x 24 / 2 = 336.
The answer is A, 336
Answer:
336
Step-by-step explanation:
In the figure, there are four triangles
Total Area = sum of four triangles areas
0.5(12*18)*2+0.5(12*10)*2=336