Answer:
A
Step-by-step explanation:
f has zero means that f(x)=0
if f(x)=0 we have to look intersection point or points in the graph on the x-axis.
for A
y=0
x=-3, x=4
for B
y=0
x=-4, x=3
for C
y=0
x=-4, x=-3
for D
y=0
x=3, x=4
factorize for me
y + 3y + 2-sin2x=0
Answer:
−(−4y−2+sin2(x))=0
Step-by-step explanation:
A vacant city lot is being turned into a neighborhood garden. The neighbors want to fence in a triangular section of the lot and plant flowers there. The longest side of the triangle section is 8 feet shorter than twice the shortest side. The third side is 2 feet longer than the shortest side. The perimeter is 58 feet. How long is each side?
Step-by-step explanation:
=>>. Hello mate. (◕ᴗ◕✿)
= Given :-
perimeter of traingle = 58 feet
let the third side be. "X" feet longest side = (2x - 8) feet shorter side = (x + 2) feetPerimeter of traingle = sum of all three sides
=> A/q. ,
( x ) + ( 2x - 8 ) + ( x + 2) = 58. ✓✓✓
x + 2x - 8 + x + 2 = 58
=>. 4x - 6 = 58
=> 4x = 58 + 6
=> 4x = 64
=>. x = 64/4
=|. x = 16 feet
length of third side = 16 feet length of shorter side = 18 feet length of longest side = 24 feet
Hope it helps you.......
Which of the following is the net of a pyramid?
Answer:
The answer is A
Step-by-step explanation: a net of a pyramid will always have a square and 4 triangles around it.
SEE ATTACHED IMAGE, THANK YOU!
Answer:
a)
X P[X]
0 5/14
1 15/28
2 3/28
b)
The expected value is 0.75
Step-by-step explanation:
Ok, we know that out of 8 cameras, 3 are defective.
So first let's find the probability for a camera randomly selected to be defective.
This is just the quotient between the number of defective cameras and the total number of cameras.
p = 3/8
then the probability that a camera is not defective is:
q = 5/8.
Ok, now we draw 2 cameras at random from the box.
We can define X as the number of defective cameras in these two drawn, we can have 3 possible values of X.
X = 0 (neither of the cameras is defective)
X = 1 (one of the cameras is defective)
X = 2 (both of the cameras is defective).
Let's find the probabilities for each case.
X = 0.
In this case, we first draw a non-defective camera, with a probability of:
P = 5/8.
The second camera drawn must be also non-defective, but now there are 4 non-defective cameras in the box and a total of 7 cameras (because one was already drawn).
Then the probability now is:
Q = 4/7
The joint probability is the product of the two individual probabilities:
P[0] = P*Q = (5/8)*(4/7) = (5/14)
X = 1
Here we have two cases:
the first is defective and the second is non-defective
the first is non-defective and the second is defective
So we just have a factor of 2, to consider both cases
Assuming the first case
Probability of drawing first a defective camera is equal to the quotient between the number of defective cameras and the total number of cameras:
P = 3/8
For the second draw we want to get a non-defective camera, here the probability is equal to the number of non-defective cameras remaining (5) and the total number of cameras (7, because we drawn one)
Q = 5/7
The joint probability, taking in account the permutation, is
P[1] = 2*P*Q = 2*(3/8)*(5/7) = (15/28)
finally, for X = 2
This is the case where we draw two defective cameras, we can use a similar approach as the one used in the first case:
For the first camera:
P = 3/8
For the second camera:
Q = 2/7
Joint probability:
P[2] = (3/8)*(2/7) = 3/28
then we have the table:
X P[X]
0 5/14
1 15/28
2 3/28
b)
The expected value for an event that has the outcomes:
{x₁, x₂, ..., xₙ}
Each one with the correspondent probability
{p₁, p₂, ..., pₙ}
is defined as:
EV = x₁*p₁ + x₂*p₂ + ... + xₙ*pₙ
Then in our case, the expected value is just:
EV = 0*P[0] + 1*P[1] + 2*P[2]
EV = 0 + 15/28 + 2*3/28
EV = (15 + 6)/28 = 21/28 = 0.75
A shopping attendant needs to price a large jigsaw puzzle returned by a customer. The customer paid a total of $33.04, including a convenience charge of $1.75 and 10% sales tax on the subtotal. Use the inverse to find the original price of the puzzle. If necessary, round your answer to the nearest cent.
Answer:
28.45
Step-by-step explanation:
33.04-1.75=31.29
31.29/1.10=28.45
Round off 1,296,717 to 3 significant figures
Answer:6 1296720 1.29672 × 106
5 1296700 1.2967 × 106
4 1297000 1.297 × 106
3 1300000 1.30 × 106
2 1300000 1.3 × 106
1 1000000 1 × 106
Step-by-step explanation:
I need big help on this one
What is the equation of the circle with center (−2, 5) that passes through
the point (4, −1)? Write the steps and instructions to find the equation.
Answer:
Step-by-step explanation:
the equation is 8 cause 10 equals 8
A silver bracelet weighs 106.5 grams, which is 21.3 times the weight of a silver coin.
If represents the weight of the coin, which equation can be used to find ?
On a coordinate plane, 3 lines are shown. Line m has points (negative 4, 3) and (0, negative 4). Line n has points (1, 2) and (3, negative 2). Line k has points (negative 3, negative 3) and (4, 1).
Use the diagram to answer the questions.
Is line m parallel to line n? Explain.
Is line m perpendicular to line k? Explain.
Answer:
actually, the answers are "No, the slopes are not equal"
and "Yes, the slopes are negative reciprocals".
Reason: just did it!!!!
Answer:
"No, the slopes are not equal"
and "Yes, the slopes are negative reciprocals".
Step-by-step explanation:
In △CDE, DE=14, CE=9, and m∠E=71∘. What is the length of CD⎯⎯⎯⎯⎯⎯? Enter your answer, rounded to the nearest hundredth, in the box.
Answer:
13.96units
Step-by-step explanation:
To get the length of CD, we will use the cosine rule as shown:
CD² = DE²+CE²-2(DE)(CE)cos m<E
Substitute the given values
CD² = 14²+9²-2(14)(9)cos71
CD² = 196 + 81 - 252cos71
CD² =277 - 252cos71
CD² = 277 - 82.0431
CD² = 194.95682
CD = √194.95682
CD = 13.96 units
Hence the length of CD of 13.96units
Which expression is equivalent to 4-(-7)
Answer:
4-(-7)=11
-4-7=-11
-4+7=3
-7-4=-11
so neither 3 choices work
hope this helps
have a good day :)
Step-by-step explanation:
Write this ratio as a fraction in simplest form without any units. 20 quarts to 9 gallons
Answer:
20/9
Step-by-step explanation:
20 quarts : 9 gallons
20/9(1 is the HCF of both values)
20/9
Can you see them ⟟ need help
Logan bought stocks and later sold them for $3,437,500, making a profit of 25%. How much did he pay for the stocks?
Answer:
Logan bought the stocks at $2,750,000
Step-by-step explanation:
So according to the question $3,437,500 is the amount at which 25% interest was made
This means that the original value(100% value) has been increased to 125%(thus 100+25%)
By using ratio and proportion,
If 125%-$3437500
then 100% ={100%/125%}×$3,437,50
=$2,750,000
A store manager timed Janette
Answer:
more information please.
Step-by-step explanation:
Which statements describe the sequence –3, 5, –7, 9, –11, …? Check all that apply. The sequence has 5 terms. The 4th term of the sequence is 9. f(5) = 2 The domain of the sequence is all natural numbers. (4, 9) lies on the graph of the sequence.
forth term in a sequence =9
domain=set of all natural number
(4,9) lies in a graph
Answer:
Solution given:
–3, 5, –7, 9, –11, …are in a sequence
domain=set of all natural number.
forth term in a sequence =9
(4,9) lies in a graph.
and
f(5)=2
f(4)=9
Hence
(4,9) lies of graphThe domain is set of inetegers Z .as -3 is not N set member .
4th term of the sequence is 9The sequence has infinite terms
B and D are correct
• LIVE
The table shows the lengths of picket fence pieces Jude has to make a flower garden
He wants the garden to have 4 sides and a perimeter of 30 feet.
He cannot cut the pieces into smaller lengths.
Fence Length
Number of Pieces
6 feet
feet
2
12 feet
1
Choose all of the possible sizes of gardens that Jude could make.
А.
B.
LIVE
• LIVE
a square with a side length of 6 feet
a rectangle with a length of 9 feet and a width
of 6 feet
D.
• LIVE
• LIVE
a trapezoid with side lengths of 6 feet, 6 feet,
6 feet, and 12 feet
a quadrilateral with side lengths of 6 feet, 9
feet, 9 feet, and 9 feet
E.
LIVE
a triangle with side lengths of 9 feet, 9 feet,
and 12 feet
Answer:
all except for D. he can build A, B, C and E out of the available pieces of fence.
but A violates the overall goal of a circumference of 30ft.
and E violates the overall goal of the garden having 4 sides.
D cannot be built, because it would require 3 pieces of 9 ft (and we have only 2).
Answer: All except for D.
Step-by-step explanation: I would make one, but someone has already made a decent explanation.
All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What
is the shape of the cross-section resulting from the cut?
СА.
an equilateral triangle
B.
a square
C.
a rhombus
D.
a regular hexagon
Answer:
The shape from the cross-section resulting from the cut would be a Rhombus
Step-by-step explanation:
Edmentum Plato users!
The shape of the cross-section resulting from the cut is C. Rhombus.
What is a rhombus?A rhombus simply means a shape that has opposite sides to be parallel and the sides are equal.
Here, the information states that the edges of the object in the diagram are equal in length and that the object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
Therefore, the shape of the cross-section resulting from the cut is a rhombus.
Learn more about rhombus on:
https://brainly.com/question/20627264
Simplify -|-7+4|
O 4
O -1/4
O -4
Answer:
Therefore, 7/4 simplified to lowest terms is 7/4.
given a group of six students consisting of four female and two male how many different three member committee can be chosen from this group probability question
Given:
Total number of students = 6
Number of female students = 4
Number of male students = 2
To find:
Total number of outcomes if 3 students are chosen at random (Should i find the probability of something?)
Steps:
To find the total number of outcomes, we need to list the outcomes
Outcomes = {M,M,F} , {M,F,F} , {F,F,F}
Therefore, the total number of outcomes if 3 students are chosen at random is 3, if we don't consider order.
Could you elaborate the question a bit more if i made a mistake of what to find.
Help pleaseee (pre algebra)
Answer:
Robert had 78 coins or c=78
I was wondering if someone could answer this :)
Answer:
17
Step-by-step explanation:
2a+30 = 4a-4
+4 +4
2a+34 = 4a
-2a -2a
34 = 2a
÷2 ÷2
a=17
Hope this helps! :)
Answer:
A = 17
Step-by-step explanation:
Opposite angles are congruent in a parallelogram
Hence 2a + 30 = 4a - 4
( Note that we've just created an equation that we can use to solve for a)
We now solve for a
2a + 30 = 4a - 4
Add 4 to both sides
2a + 34 = 4a
Subtract 2a from both sides
34 = 2a
Divide both sides by 2
a = 17
Aarti posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she received on the previous day. If there were 64 responses the first day, how many were there on the fourth day?
Answer:
156 were there on the fourth day.
Step-by-step explanation:
125% of the number she received on the previous day
This means that the previous day number is multiplied the 125%/100% = 1.25.
64 responses the first day
This means that the number of responses after x days is given by:
[tex]R(x) = 64(1.25)^x[/tex]
How many were there on the fourth day?
This is R(4). So
[tex]R(4) = 64(1.25)^4 = 156[/tex]
156 were there on the fourth day.
Answer:
125
Step-by-step explanation:
Pls help ASAP!!!!!!!!!!! I NEED HELP IMMEDIATELY!!!
Jaime had ten posters, but only five could fit on his closet door. How many different ways can he arrange the five posters out of the ten on his closet door?
A. 252
B. 648
C. 6,048
D. 30,240
Answer:
its c
Step-by-step explanation:
The equation y=8.50x + 33 can be used to estimate the monthly premium y of a $250,000 term life insurance policy for a male smoker who is more than 40 year old. In this equation, x is the age of a man above 40. For example, a 60 year old male smoker, x =20. Estimate the monthly insurance premium for a 48-year old male smoker. (Show all work)
Answer:
$101
Step-by-step explanation:
Given
[tex]y = 8.50x + 33[/tex]
[tex]x \to[/tex] age above 40
Required
Insurance for 48 years old
First, we solve for x
[tex]x = 48 - 40[/tex]
[tex]x = 8[/tex]
So, we have:
[tex]y = 8.50x + 33[/tex]
[tex]y = 8.50 * 8 + 33[/tex]
[tex]y = 68 + 33[/tex]
[tex]y = 101[/tex]
Find the solution set of the inequality
\qquad8x - 8 \leq -72.8x−8≤−72.
Step-by-step explanation:
- 8 is the ans .hope this help you. mark me as brainliest
A man deposits $ 14,850 into a bank, which pays 4% interest that is compounded
semiannually. What will he have in his account at the end of three years?
Given:
Principal = $14850
Rate of interest = 4% compounded semiannually.
Time = 3 years
To find:
The amount after 3 years.
Solution:
Formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded and t is the number of years.
The interest is compounded semiannually, so n=2.
Putting [tex]P=14850, r=4, n=2, t=3[/tex] in the above formula, we get
[tex]A=14850\left(1+\dfrac{0.04}{2}\right)^{2(3)}[/tex]
[tex]A=14850\left(1+0.02\right)^{6}[/tex]
[tex]A=14850\left(1.02\right)^{6}[/tex]
On further simplification, we get
[tex]A=14850(1.12616242)[/tex]
[tex]A=16723.511937[/tex]
[tex]A\approx 16723.51[/tex]
Therefore, the amount in the account after three years is $16723.51.
What is the area of the parallelogram shown?
Answer:
Area = 96 square m
Step-by-step explanation:
[tex]Area = base \times height = 12 \times 8 = 96 \ m^2[/tex]
Answer:
The area of parallelogram is 96 m ².
Step-by-step explanation:
According to the question , we have given a parallelogram with base 12 m and height is 8 m. We need to find the area of parallelogram.
Solution :-Using Formula
Area of parallelogram = Base × Height
Substitute the values into this formula
Area of parallelogram = 12 m × 8 m
multiply, we get
Area of parallelogram = 96 m²
Therefore, The area of parallelogram is 96 m ².
find the value of x. what is the relationship of these 2 angles? set up and solve an equation
As it is right angled, thus it will be equal to 90.
= 2x + 5 + x + 25 = 90
= 3x + 30 = 90
= 3x = 60
= x = 60/3
= x = 20
Answer:
x = 20°
Step-by-step explanation:
[tex]2x + 5 + x + 25 = 90 \\ 3x + 30 = 90 \\ 3x = 90 - 30 \\ 3x = 60 \\ x = \frac{60}{3} \\ x = 20 \\ [/tex]