Answer:
Area of parallelogram divided by 2 is the triangles are.
Area of parallelogram = B x H and triangle area = 1/2 x B x H
Step-by-step explanation:
Answer:
A ) The area of Δ ABC is 2 units greater than area of parallelogram GHJK.
Step-by-step explanation:
Given u=(1,3) and v=(2,6), find 2v+u
Options
(5,15)
(4,12)
(3,9)
(6,18)
ANSWER
[tex]2v + u = \binom{5}{15}[/tex]
EXPLANATION
It was given that:
[tex]u = \binom{1}{3} [/tex]
and
[tex]v = \binom{2}{6} [/tex]
[tex]2v + u =2 \binom{2}{6} + \binom{1}{3} [/tex]
Perform the scalar multiplication to obtain:
[tex]2v + u = \binom{4}{12} + \binom{1}{3} [/tex]
We add the corresponding components to get;
[tex]2v + u = \binom{4 + 1}{12 + 3}[/tex]
[tex]2v + u = \binom{5}{15}[/tex]
The first choice is correct.
Answer:
A
Step-by-step explanation:
Choose the correct conic section to fit the equation.
xy = -16
Circle
Ellipse
Parabola
Hyperbola
The answer is a Hyperbola
Answer:
Hyperbola
Step-by-step explanation:
Given is an equation in x and y as
[tex]xy = -16[/tex]
We know that for ellipse both x and y will have degree 2.
For parabola one variable would be of degree 2 and other degree 1.
Circle both will have degree 2 and equal coefficients.
So this equation is not a circle, a parabola or an ellipse.
We know that rectangular hyperbola will have equation as
[tex]xy=c^2 \\xy =-c^2[/tex]
Hyperbola is the right answer.
Uncle percy only has 10% of teashirts he started with if he has 25 now how many did he start with
Answer:
250
Step-by-step explanation:
Since you are looking for the amount of shirts he had you will need to divide 25 by .10 or just multiply by 10.
Set up an equal proprtion. 25/x = 10/100 because 25 is 10% of the number you're looking for, or x. 25* 100 = 10x → 2500 = 10x → 250 = x. Uncle Percy started with 250 t-shirts.
Madison made the following table to record the height of each person in her family. If Madison and Jade lay end to end, how far will they reach?
Name Height (in feet)
Dad 6 3/8
Mom 5 5/8
Madison 5 1/6
Jade 4 5/6
Ben 3 1/5
9 1/2
9 feet
10 feet
10 1/2 feet
Answer:
10 ft
Step-by-step explanation:
To get their total reach, we add the two numbers.
5⅙
+4⅚
Add integers and fractions
5⅙
+4⅚
9⁶/₆
Convert the fraction to an integer
⁶/₆ = 1
Add the 1 to the 9
9 + 1 = 10 ft
If Madison and Jade lay end to end, they will they reach 10 ft.
SHOW ALL WORK
Find the slope through the points (12, -18), (11,12)
Step-by-step explanation:
All you have to do is this;
use the formula: y2-y1/x2-x1
fill it in: 12 - 18/11 - 12
solve: -6/-1 > 6
the answer is 6, the slope = 6
(4 pts) In a carnival game, a player spins a wheel that stops with the pointer on one (and only one) of three colors. The likelihood of the pointer landing on each color is as follows: 63 percent BLUE, 22 percent RED, and 15 percent GREEN. Note: Your answers should be rounded to three decimal places. (a) Suppose we spin the wheel, observe the color that the pointer stops on, and repeat the process until the pointer stops on BLUE. What is the probability that we will spin the wheel exactly three times? (b) Suppose we spin the wheel, observe the color that the pointer stops on, and repeat the process until the pointer stops on RED. What is the probability that we will spin the wheel at least three times? (c) Suppose we spin the wheel, observe the color that the pointer stops on, and repeat the process until the pointer stops on GREEN. What is the probability that we will spin the wheel 2 or fewer times?
Answer:
The correct answers are as follows.
a. 8.624%
b. 60.84%
c. 27.75%
Step-by-step explanation:
In order to find each of these, take the likelihood of each of steps and multiply them together.
a. For this one, we need to note that the first two spins should not be blue. The likelihood of them not being blue is the chance for red and green put together (37%). Then we want the third spin to be the blue odds (63%)
.37 * .37 * .63 = .08624 = 8.624%
b. For the purpose of this, we are looking just for the first two spins to not be red (78% probability). After that, it does not matter what the third spin is since it says "at least 3 times)
.78 * .78 = .6084 = 60.84%
c. For this one, we need to combine two things. Firstly, the chance that the first spin is green (15%). Then we would add in the likelihood that the first spin is not green (85%), but the second is.
.15 + (.85 * .15) = .2775 = 27.75%
The probabilities of obtaining the required event based on the likelihood of the pointer stopping on each color are 0.086247, 0.6084 and 0.2775 respectively
Probability of Blue ; P(B) = 0.63
Probability of Red ; P(R) = 0.22
Probability of Green ; P(G) = 0.15
Probability of Blue after exactly 3 spins :
1st spin = P(not B) = P(R)+P(G) = (0.22+0.15) = 0.37
2nd spin = P(not B) = P(R)+P(G) = (0.22+0.15) = 0.37
3rd spin = P(B) = 0.63
P(R exactly after 3 spins) = (0.37 × 0.37 × 0.63) = 0.086247
2.)
Probability of spinning atleast 3 times before obtaining RED;
P(not R) on first two spins ;
P(not R) = P(B) + P(G) (0.63+0.15) = 0.78
P(not R) × P(not R) = 0.78 × 0.78 = 0.6084
3.)
Probability of obtaining Green after 2 or fewer spins :
P(Green after 2 spins) + P(Green on first spin)
P(not G) = 0.63 + 0.22 = 0.85
[P(not G) × P(G)] + P(G)
[(0.85 × 0.15) + 0.15]
(0.1275 + 0.15)
= 0.2775
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In a test of the effect of dampness on electric connections, 103 electric connections were tested under damp conditions and 151 were tested under dry conditions. Twenty of the damp connections failed and only 10 of the dry ones failed. Let pX represent the population proportion of damp connections that fail and let pY represent the population proportion of dry connections that fail. Find a 90% confidence interval for the difference pX−pYpX−pY. Round the answers to four decimal places.
Answer:
Sorry i do not know the answer but....
Step-by-step explanation:
can u sub to Pewdiepie on YT.. Plz? Brofist
Jody bought 20 shares of Amazon at the close price of $121.00. She bought 20 more shares a year later at the price of $127.00. Two years later, she sold all of her shares at the price $133.00. If her broker charges $40 for each transaction, how much money will Jody have after all of her transactions?
Final answer:
Jody will have a total profit of $1280.00 after all of her transactions.
Explanation:
Jody initially bought 20 shares of Amazon at $121.00 per share, which amounts to a total cost of
20 * $121.00 = $2420.00.
A year later, she bought 20 more shares at $127.00 per share, which amounts to a total cost of
20 * $127.00 = $2540.00.
Two years later, she sold all of her shares at $133.00 per share, which amounts to a total revenue of
40 * $133.00 = $5320.00.
However, she paid $40 for each transaction, so her total transaction cost is 2 * $40.00 = $80.00.
Therefore, her total profit is $5320.00 - ($2420.00 + $2540.00 + $80.00) = $1280.00.
what is n
Question options:
1.25
10
2.5
5
10
6/3 =n/5
times n by 2 basically
answer is 10
it’s basically ratios
I think the answer is 5
If P(A)=0.35, then the probability of the complement of A is
0.55
-0.35
0.35
0.65
Answer:
0.65
Step-by-step explanation:
Complement of an event is defined as "all the other outcomes that are not in the given event"
So complement of event A will be all the outcomes that are not in event A.
Probability of event A is given to be 0.35
P(A) = 0.35
The sum of probabilities of an event and its compliment is always equal to 1
So,
P(A) + P(A') = 1
Where, A' represents the compliment of A
So, from here we can write:
P(A') = 1 - 0.35
P(A') = 0.65
Therefore, the probability of the complement of A is 0.65
Answer:
0.65
Explanation:
Probability of an event P(A) shows the chances for this event to actually happen or occur
Probability of the complement of an event P'(A) shows the chances for this event not to happen or occur
The sum of the probability of a certain event and its complement is ALWAYS equal to 1
This means that:
P(A) + P'(A) = 1
In the problem, we are given that P(A) = 0.35
Substitute in the above equation to get P'(A) as follows:
P(A) + P'(A) = 1
0.35 + P'(A) = 1
P'(A) = 1 - 0.35
P'(A) = 0.65
Hope this helps :)
twice a number plus 5 equals 81
solution
2x+5=81
2x=81-5
2x=76
x=38
Answer:
[tex]38 = x[/tex]
Step-by-step explanation:
81 = 5 + 2x
- 5 - 5
___________
76 = 2x
__ __
2 2
[tex]38 = x[/tex]
I am joyous to assist you anytime.
look at the figure, PQRS. Find the values of x and y
Answer:
Solution set is
[tex]x=5\\y=7[/tex]
Step-by-step explanation:
Given that in a picture there is a parallelogram PQRS
The diagonals PR and QS intersect at T
[tex]PT=x+2, TR=yQT=2x, TS = y+3[/tex]
By properties of parallelograms we know that diagonals bisect each other
Using this we get
[tex]PT=TR\\QT=TS\\x+2=y\\2x=y+3[/tex]
Substitute for y to get
[tex]2x=x+2+3\\x=5\\y=7[/tex]
Solution set is
[tex]x=5\\y=7[/tex]
Answer:
X=5 y=7
Step-by-step explanation:
Meryl took out a loan for $5,000 at an interest rate of 9.75% for 6 years. Find the amount of interest and total amount he had to pay back.
i = ?
a = ?
There are no compound periods given, so use the simple interest formula:
A = P(1+rt) where P is the principal, r is the rate and t is the time.
A = 5000(1+0.0975(6))
A = 5000(1+0.585)
A = 5000(1.585)
A = $7,925
Interest = 7925 - 5000 = $2,925
Total paid back = $7,925
Answer:
The Interest is 2,925.00 and now you owe 7,925.00. I hope this helps
Step-by-step explanation:
Solve for v
-(2/3)v-1=(7/2)v-(4/3)
Answer: [tex]v=\frac{2}{25}[/tex]
Step-by-step explanation:
To solve from v from the equation given in the problem you must apply the folowing proccedure:
- Add like terms:
[tex]-1+\frac{4}{3}=\frac{7}{2}v+\frac{2}{3}v\\\\ \frac{1}{3}=\frac{25}{6}v[/tex]
- Mulitply bot sides of thee equation by 6 and then divide both sids by 25.
Therefore you obtain:
[tex]\frac{1}{3}=\frac{25}{6}v\\\frac{6}{3}=25v\\v=\frac{2}{25}[/tex]
Answer:
v = 2/25
Step-by-step explanation:
We have given the equation:
-(2/3)v-1=(7/2)v-(4/3)
We have to solve it for v.
-(2/3)v-1=(7/2)v-(4/3)
(7/2)v+(2/3)v = -1+(4/3)
Multiply both sides of equation by 6 we get,
21v+4v = -6+8
25v = +2
Multiplying both sides by 1/25 we get,
v = 2/25
v = 2/25 is the answer.
Please help me and Simplify
Answer:
12a^3 b^4 c^5
Step-by-step explanation:
First you rewrite 144a^6 b^8 c^10 as (12a^3 b^4 c^5)^2.Pull terms out from under the radical, assuming positive real numbersJillian plays a game that involves stacking blocks in a tower.The graph show the height of the tower based on the number of blocks she uses.
Answer:
c)
{0,4,8,12,16,20,24,28,32,36,40}
Step-by-step explanation:
Given in the question is graph which shows height of tower depending on number of blocks use.
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain, x values.
By looking at graph
domain range
0 0
1 4
2 8
3 12
4 16
5 20
. .
. .
10 40
Which three-dimensional figure is formed by the rotation given?
First picture is the rotation, and the rest are the answer choices.
Answer with explanation:
A circle is rotated around a vertical line which we call Y axis.
When we rotate the circle around y axis, and join each circle ,we get a closed shape resembling with the Cylinder, having height equal to Diameter of circle.
We can't Calculate Radius of shape resembling with Cylinder.
The circle is rotated about an axis it forms a circular ring of the thickness as the circle has.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Given
The picture is the rotation.
If the point is rotated about the axis it forms a circular ring of no thickness.
The circle is rotated about an axis it forms a circular ring of the thickness as the circle has.
It will look like a bangle.
Thus, the correct option is B.
More about the geometry link is given below.
https://brainly.com/question/7558603
6=3(x+3)^2-6
show work... :)
Answer:
x = -5,-1
Step-by-step explanation:
6=3(x+3)^2-6
Add 6 to each side
6+6=3(x+3)^2-6+6
12 =3(x+3)^2
Divide each side by 3
12/3 = 3/3(x+3)^2
4 = (x+3)^2
Take the square root of each side
sqrt(4) = sqrt((x+3)^2)
±2 = x+3
Separate into 2 equations
2 = x+3 -2 = x+3
Subtract 3 from each side
2-3 =x+3-3 -2-3 = x+3-3
-1 =x -5 =x
A rectangular prism has a width of 3 inches, a height of 4 inches, and a depth of 5 inches. If the width is multiplied by 3, what happens to the volume?
Answer:
The volume is also tripled when one length of the prism is tripled. It becomes 180 cubic inches instead of 60 cubic inches.
Step-by-step explanation:
Volume is the measurement of the amount a 3D object can hold. Each 3D object has 3 measurements: length, width, and height.. This object is a rectangular prism. Its volume is found as V = l*w*h. Substitute h = 4, l = 5, and w = 3. Then simplify for the volume.
V = l*w*h
V = 5*3*4
V = 60 cubic inches
Now repeat the process except multiply the depth by 3. So the length 5 inches becomes 15 inches. Substitute and simplify.
V = 15*3*4
V = 180 cubic inches
The volume is also tripled when one length of the prism is tripled.
Answer:
80
Step-by-step explanation:
Given that sin0= 1/4,0 <0 < pi/2 , what is the exact value of cos 0 (picture provided)
Answer:
Option b
Step-by-step explanation:
By definition we know that:
[tex]cos ^ 2(\theta) = 1- sin ^ 2(\theta)[/tex]
We know that for this case:
[tex]sin(\theta) = \frac{1}{4}[/tex]
Then:
[tex]cos ^ 2(\theta) = 1- (\frac{1}{4})^2\\\\cos ^ 2(\theta) = 1- (\frac{1}{16})\\\\cos ^ 2(\theta) = \frac{15}{16}\\\\[/tex]
Apply square root on both sides of the equation
[tex]\sqrt{cos ^ 2(\theta)} = \sqrt{\frac{15}{16}}\\\\cos(\theta) = \sqrt{\frac{15}{16}}\\\\cos(\theta) = \frac{\sqrt{15}}{4}[/tex]
Some one please help! I will give brainliest to the best answer!!!
The Y intercept is the same for both -3/11
The slope is the fraction with the letter x.
For P the slope is 5/8, which is less than 1
For q the slope is 8/5 which is greater than 1
Because the slope of p is less than the slope of q, the slope would be less steep.
The answer is the second one.
Answer:
B
Step-by-step explanation:
Solve the equation by using the basic properties of logarithms.
ln(x+4)=-1
Write both sides as powers of [tex]e[/tex]:
[tex]\ln(x+4)=-1\implies e^{\ln(x+4)}=e^{-1}\implies x+4=e^{-1}[/tex]
since [tex]b^{\log_ba}=a[/tex]. Then
[tex]x=e^{-1}-4\approx-3.63[/tex]
Answer:
-3.63
Step-by-step explanation:
Identify the graph of the equation. What is the angle of rotation for the equation? (Picture below)
Answer:
The answer is hyperbola; with angle of rotation = 45° ⇒ answer (b)
Step-by-step explanation:
* At first lets talk about the general form of the conic equation
- Ax² + Bxy + Cy² + Dx + Ey + F = 0
∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.
∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.
∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.
* Now we will study our equation:
- xy = -2.5
∵ A = 0 , B = 1 , C = 0
∴ B² - 4 AC = (1)² - 4(0)(0) = 1 > 0
∴ B² - 4AC > 0
∴ The graph is hyperbola
* To find the angle of rotation use the rule:
- cot(2Ф) = (A - C)/B
∵ A = 0 , B = 1 , C = 0
∴ cot(2Ф) = 0/1 = 0
∴ 2Ф = 90°
∴ Ф = 45°
* The answer is hyperbola; with angle of rotation = 45°
Help 13 points!!!!!!!!
Replace x with a^2:
7(a^2)^2 - 8
Multiply the exponents:
7a^4 - 8
in still water, the speed of the boat 10 mi/h. camilla drives the boat upstream for 60 min. and then downstream to her starting point in 20 min. what is the speed of the stream?
Answer:
5 mi/h
Step-by-step explanation:
S = v*t
S - space (miles)
v - velocity (mi/h)
t - time (h)
stream speed = x
The distance upstream(S_1) is expressed by :
60 min -> 1 hour
S_1 = (10-x)*1
The distance downstream is expressed by :
20 min -> 0.3(3) hour
S_2 = (10+x)*0.3(3)
The distance traveled upstream for 60 min is equal to the distance traveled downstream in 20 min. -> S_1 = S_2
(10-x) * 1 = (10+x)*0.3(3)
10 - x = 3.3(3) + 0.3(3)x
6.6(6) = 1.3(3)x
x = 6.6(6) / 1.3(3)
x = 5 mi/h
The speed of the stream is equal to 5.79 mi/h
Let the stream speed be s.Given the following data:
Speed of boat = 10 mi/hUpstream time = 60 minutes = 1 hour.Downstream time = 20 minutes = 0.3 hour.To calculate the speed of the stream:
What is speed?Speed can be defined as the distance covered by an object per unit time.
Mathematically, speed is given by the formula;
[tex]Speed = \frac{distance}{time}[/tex]
Note: The upstream distance of the boat must be equal to the downstream distance of the boat.
[tex]D_u = D_d\\\\(10-s) \times 1 = (10+s)0.33\\\\10-s=3.3+0.33s\\\\10-3.3=0.33s+s\\\\7.7=1.33s\\\\s=\frac{7.7}{1.33}[/tex]
Speed, s = 5.79 mi/h
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All of the names of the polygon are correct EXCEPT for:
The correct answer would be c) GDFEABC
Please mark brainliest
Answer:
The third option: GDFEABC
Step-by-step explanation:
Just follow the letters around in a circle. ABCDEFG works, it goes from one point to the next, so does EDCBAGF, just in the other direction with a different start point. The second option also circles around perfectly fine. The third option, GDFEABC is the only one that jumps around, G to D skips over 2 points, F & E.
Isabelle ordered 3 flower arrangements to send to her sisters. Each arrangement, weighs 6 2/3 pounds. What was the total weight of the flower arrangements?
Answer: 20 pounds.
Step-by-step explanation:
We know the weight of each flower arrangement (each one weighs 6 2/3 pounds) and the total number of flower arrangaments Isabelle ordered (3 flower arrangements).
To make the calculus easier, we can rewrite the mixed number 6 2/3 as a decimal number:
Divide the numerator 2 by the denominator 3 and add the result to the whole number 6:
[tex](6+0.666)lb=6.666lb[/tex]
If 1 arrangement weighs 6.666 pounds, the total weigth of 3 arrangements can be calculated by multiplying 6.666 pounds by 3:
[tex]weight_{(total)}=(6.666lb)(3)\\weight_{(total)}=20lb[/tex]
How likely is it that you would pick a red symbol if you closed your eyes? A) certain B) impossible C) possible D) unlikely. There are 3 red symbols and 3 green symbols.
Answer:
Step-by-step explanation:
c) possible because there are 3 of each
Answer:
C) possible
Step-by-step explanation:
There are 3 red symbols and 3 green symbols. There is a 50% chance that you will pick a red or a green. So it is possible that you will pick a red with your eyes closed.
Using the general form of complex numbers a + bi, what are the values of a and b for the number i - 6?
Answer: a=-6; b=1
Explanation:
This is the same thing as saying -6+1i. Therefore for the general form a+bi, a equals -6 and b equals 1
Answer:
a = -6 and b = 1
Step-by-step explanation:
We have given a complex number.
i-6
We have to find the value of a and b using general form of complex numbers.
The general form of complex numbers is a+bi.
given complex number can be written as:
-6+1i
Comparing with general form , we have
a = -6 and b = 1 which is the answer.
The bowling scores for 6 people are: 112, 114, 115, 120, 122, 290
What is the MOST appropriate measure of center?
A. Range
B. Median
C. Standard Deviation
D. Mean
Will give brainliest!
The most appropriate measure of center is Median. As the data has a large value (290) at the end, it is the better choice to choose the median for finding the center because the mean or average is appropriate to represent the general level if there are not too large or too small values in the set. The median for the given bowling scores for 6 people is 117.5.
Definitions:Mean, the average value of the set of values. It is given by the ratio of the sum of all the values in the set to the total number of values in the setMedian, the mid-point or middle value of the set of values. It is calculated by arranging the values of the set in ascending order and taking the middle value or center valueStandard deviation, shows the variation in data. If the data is close together so it will be small or if the data is spread out then it will be large. Standard deviation is the square root of the variance.Range, the mathematical distance between the lowest and highest values in the data set. It is calculated by taking the difference between the highest value and the lowest value in the setSince the standard deviation and range gives the variability of the given data, the mean and median are used for calculating the center.
Calculating mean and median:Given data values are,
112, 114, 115, 120, 122, 290
Mean of the given data values,
Mean = Sum of all values / number of values
Sum of values = 112 + 114 + 115 + 120 + 122 + 290 = 873
Number of values = 6
∴ Mean = [tex]\frac{873}{6}[/tex]
= 145.5
Median of the given data values,
Arranging the data values in the ascending order - 112, 114, 115, 120, 122, 290
Number of values = 6 (even)
So, the median is the average between the two centers
∴ Median = [tex]\frac{115+120}{2}[/tex]
= 117.5
Since the last value in the set is larger than all the values (a sudden change or rise in the value), the most appropriate measure of center is the median and it is 117.5.
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