Answer:
same after 3 years
because .............................
Answer:
The populations of orangutans will be same after 3 years
Step-by-step explanation:
Let the populations or orangutans is the same after n years
Decrease in population of oragnutans in the first study
=784-25n=784−25n
Decrease in population of oragnutans in the second study
=817-36n=817−36n
According to the question
784-25n=817-36n784−25n=817−36n
\implies 36n-25n=817-784⟹36n−25n=817−784
\implies 11n=33⟹11n=33
\implies 11n=33⟹11n=33
\implies n=\frac{33}{11}⟹n=
11
33
\implies n=3\text{ years}⟹n=3 years
Therefore, the populations of orangutans will be equal after 3 years
Hope this is helpful.
Calculate the median of the following data 18, 24, 55, 59, 34, 39, 22, 32, 57, If 55 is replaced by 33, calculate the new median
Answer:
34, and if 55 was replaced with 33, the new median would be 33.
Step-by-step explanation:
The median is the number that is in the middle of a data set, once the numbers are organized from least to greatest. If we put the numbers in order (18, 22, 24, 32, 34, 39, 55, 57, 59), the number in the middle is 34. If we do the same, but replace 55 with 33, (18, 22, 24, 32, 33, 34, 39, 57, 59), we get 33 as the median.
Which equation describes the summer for two vectors plotted below?
Answer:
B
Step-by-step explanation:
A shopkeeper has enough money to buy 40 books each costing Rs.125. How many books he can buy if he gets a discount of Rs.25 on each book ?
Answer:
48
Step-by-step explanation:
first , muntiply 40*125 = 5000( cost of 40 books in rs 125 each)
125-25 = 100
multiply 40*100= 4000
5000-4000= 1000
divide 1000/125 = 8
therefore , 40+8= 48
Please help. I am really stuck on this little problem. I need to find the domain and Range for this graph.
Answer:
This isn't the answer but if you can take a pic of this and put it in this app called "Math-way" or "Photo-math" those help me
Find the area of the rhombus
Answer:
The rhombus has an area of 240 units. (2nd one on the left).
Step-by-step explanation:
The intersection of diagonals meet at right angles. That means that the labeled sides are the hypotenuse and 1 leg of a right angle triangle. You need to find the other leg by using the Pythagorean Theorem
a^2 + b^2 = c^2
a = 8
b = ?
c = 17
8^2 + b^2 = 17^2
64 + b^2 = 289 Subtract 64
b^2 = 289-64
b^2 = 225 Take the square root of both sides.
sqrt(b^) = sqrt(225)
b = 15
Find the area of 1 triangle
Area = 1/2 * a * b
a = 8
b = 15
Area = 1/2 * 8 * 15
Area = 60
Now find the area of 4 triangles.
4*60 = 240
Hi i’m looking for some help
Find the volume of this sphere.
Use 3 for 7.
V
V~ [?]in3
V = $703
11 in
Answer:
Step-by-step explanation:
Volume of a sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex] And using r = 11 and pi = 3 (which is so far off, it's ridiculous):
[tex]V=\frac{4}{3}(3)(11)^3[/tex] which gives us that
V = 5324 in³
A chocolate factory uses 16 of a bag of cocoa butter in each packet of chocolate. The factory used 13 of a bag of cocoa butter today. How many packets of chocolates did the factory make?
Answer:
13/16 of a packetStep-by-step explanation:
Solve using ratios:
1 packet ⇒ 16 bagsx packets ⇒ 13 bagsFind x:
x*16 = 1*13x = 13/16
[tex]find \: the \: volume \: of \: cylinder \\ \\ radius \: = 4 \: cm \\ \\ height \: = \: 10 \: cm \: \\ \\ [/tex]
Factor the expression below. A. (x − 6)(x − 6) B. 6(x2 − x + 6) C. (x − 6)(x + 6) D. (x + 6)(x + 6)
Step-by-step explanation:
X(x+6) - 6(x+6)
X+6x-6x-36
X-36
Drag the tiles to the correct location on the image.Not all tiles will be used.
Answer:
Given,
side=4√5 millimetres
=4×4√5
=16√5
Perimeter= 16√5 milimetre
Area= side× side
=4√5 × 4√5
=80
Area= 80 square milimeters
------------------------------
hope it helps...
have a great day!
Answer:
solution:-Given,
side=4√5 mm
=4×4√5
=16√5
Perimeter= 16√5 mm
Area= side× side
=4√5 × 4√5
=80
Area= 80 square milimeters
------------------------------
hope it is helpful to you
stay safe healthy and happy
Graph the solution of the inequality 3/7(35x-14)<_ 21x/2+3
Answer:
You'll have a closed circle at x = 2, and shading to the left
See the diagram below
=========================================================
Explanation:
The fractions here are 3/7 and 21/2. The denominators of which are 7 and 2 respectively. The LCD is 7*2 = 14.
If we multiply both sides by 14, then this will clear out the denominators and make the fractions go away.
14*(3/7) = (14*3)/7 = 42/7 = 814*(21/2) = (14*21)/2 = 294/2 = 147So if we multiplied both sides by 14, then we have these steps
[tex]\frac{3}{7}(35x-14) \le \frac{21x}{2}+3\\\\14*\frac{3}{7}(35x-14) \le 14*\left(\frac{21x}{2}+3\right)\\\\14*\frac{3}{7}(35x-14) \le 14*\left(\frac{21x}{2}\right)+14*\left(3\right)\\\\6(35x-14) \le 147x+42\\\\[/tex]
--------------------------
Let's isolate x
[tex]6(35x-14) \le 147x+42\\\\6(35x)+6(-14) \le 147x+42\\\\210x-84 \le 147x+42\\\\210x-147x \le 42+84\\\\63x \le 126\\\\x \le 126/63\\\\x \le 2\\\\[/tex]
The graph of this will consist of a closed or filled in circle at x = 2. We shade to the left to represent numbers smaller than 2.
So either x = 2 or x < 2.
If we used an open hole at 2, then we wouldn't be including 2 (but we want to include this endpoint).
See the diagram below.
11t - 6t = 45 solve the equation and enter the value of t below
Answer:
[tex]t = 9[/tex]
Step-by-step explanation:
[tex]11t - 6t = 45[/tex]
[tex]5t = 45[/tex]
[tex]t = \frac{45}{5} [/tex][tex]t = 9[/tex]
Hope it is helpful....Hey there!
[tex]\large\textsf{11t - 6t = 45}[/tex]
[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{(11t - 6t) = \bf 5t}[/tex]
[tex]\large\textsf{NEW EQUATION: 5t = 45}[/tex]
[tex]\huge\textsf{DIVIDE 5 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{5t}{5}=\dfrac{45}{5}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{5}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{45}{5}}\large\textsf{ because that helps solve for the t-value}[/tex]
[tex]\mathsf{\bold{t} = \dfrac{45}{5}}[/tex]
[tex]\huge\textsf{SIMPLIFY \& YOU HAVE YOUR ANSWER}[/tex]
[tex]\mathsf{\dfrac{45}{5}=\bf 9}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: t = \bf 9}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
solve for x. Round to the nearest tenth, if necessary.
Answer:
44.4
Step-by-step explanation:
Sin=opposite/hypotenuse
Sin40=x/69
x=69sin40
x=44.4 rounded from 44.352
The equation below has one solution. 9 x minus 10 = 3 x + 2 What is the solution to the equation? –2 –1 1 2
Answer:
x=2
Step-by-step explanation:
Which statement about y= 7x2 + 23x + 6 is true?
Answer:
Please include the statements too
A blue chip company that makes computer chips found that 2 out of
every 300 chips are defective. What is the percentage of the defective
chips?
RE
со
Answer: Approximately 0.667%
Work Shown:
2/300 = 1/150 = 0.00667 = 0.667%
So less than 1% of the chips are defective.
Need help on this!!!
Answer:
Step-by-step explanation:
Range goes from the lowest point on a graph to the highest point, not including anything in between those 2 extremes. We will evaluate the quadratic for the values given. First f(2):
[tex]f(2)=(2)^2-5[/tex] so
f(2) = -1
Now, f(4):
[tex]f(4)=(4)^2-5[/tex] so
f(4) = 11
Now, f(7):
[tex]f(7)=(7)^2-5[/tex] so
f(7) = 44
The lowest y value is -1 and the highest is 44, so the range is from -1 to 44 (I can't tell which of your choices reflects that because it's too small!)
On Monday, 405 students went on a trip to the zoo. All 7 buses were filled and 6 students had to travel in cars. How many students were in each bus
Answer:
57 students
Step-by-step explanation:
Since 6 students count not fit and they had to go in cars, there is a remainder of 6. Subtract that from the total, 405, and you get 399.
Then, divide that by 7, and you get the answer. 57.
Hope it helps!
Answer:
57 students
Step-by-step explanation:
405-6=399
399÷7=57
y4+5y2+9 factorise please help me
[tex]\displaystyle\ y^4 +5y^2+9=(y^2+3)^2-y^2=(y^2-y+3)(y^2+y+3)[/tex]
Answer:
Solution given;
[tex] y^{4}+5y²+9[/tex]
keeping [tex]y^{4} and 9 together [/tex]
[tex]y^{4}+9+5y²[/tex]
[tex](y²)²+3²+5y²[/tex].....[I]
we have
a²+b²=(a+b)²-2ab
or
a²+b²=(a-b)²+2ab
same like that
[tex](y²)²+3²=(y²+3)²-6y² or (y²-3)²+6y²[/tex]
remember that while adding or subtracting the left term 5y² either adding 6y²or subtracting 6y²
should make the term perfect square
while subtracting it makes perfect square
so
we take
(y²)²+3²=(y²+3)²-6y²
again
substituting value of
(y²)²+3² in equation 1 and it becomes
(y²+3)²-6y²+5y²
solve like terms
(y²+3)²-y²
again
we have
a²-b²=(a+b)(a-b)
by using this.
(y²+3+y)(y²+3-y)
rearrange it
(y²+y+3)(y²-y+3) is a required factorisation form.
(d) 23.89 cg = ______________ Kg
Answer:
the answer is 0.0002 kilograms
Step-by-step explanation:
Question 18 of 25
Line s is the perpendicular bisector of JK. If line s intersects JK at point L.
which of the following statements must be true?
Check all that apply.
O A. JL = KL
B. Line sis perpendicular to JK
C. Point L is the midpoint of JK
OD. Line s intersects JK at a 180° angle
O E. Line sis parallel to JK
SUBMIT
Answer:
See below.
Step-by-step explanation:
A perpendicular bisector of a segment is perpendicular to the segment and intersects the segment at its midpoint.
A. JL = KL True
B. Line s is perpendicular to JK True
C. Point L is the midpoint of JK True
D. Line s intersects JK at a 180° angle False
E. Line s is parallel to JK False
Which of the statements proves that the lines a and b are parallel?
Answer:
C
Step-by-step explanation:
1,2 are both supplementary
I need help with this, Im never good with these
Answer:
(a) basketball
(b) hat
(c) stuffed animal
explanation:
I'm not sure if got right but from what i see;
Chances from 1-23 you get a stuffed boi
Chances from 24-54 you get a hat (why)
Chances from 55-100 you get a basketball
Winner 5 got 90, which is between 55-100
Winner 6 got 35, which is between 24-54
winner 8 got a 7, which is between 1-23
Hope I didn't read it wrong
help i’m so confused
Answer:
-27/7
Step-by-step explanation:
put x into the equation
x/5 = 2/3 = 5/y find the ratio from x to y
Answer:B
Step-by-step explanation:because im smart
Tzar Bomba
(Soviet)
15
Trinity
Bravo
Hiroshima
10 -
Mike
Bunker Buster
Illustration From October 2002
Issue of Popular Mechanics" (pg. 69)
Determine the following about the graph:
• Is the graph misleading?
수
.
Does the graph have missing or inaccurate titles, labels, or keys?
e
Does the vertical axis start at 0?
.
Are images used instead of bars?
.
Is the perspective or orientation misleading?
Answer:
Below
Step-by-step explanation:
1. Potentially, yes. The display of the smaller bombs in the "magnifying glass" display can be very misleading.
2. Yes - the vertical axis labels the tonnage of the nuclear blast while displaying the height of each mushroom cloud.
3. Maybe? While the first number displayed in the vertical axis is 5 (Mt), it is most likely that the 0 is unlabeled rather than non-existent.
4. Yes - images of the mushroom cloud produced by each bomb.
5. Absolutely - the larger display of the smaller bombs can create major conflict in understanding the size of each.
Someone please help me with this math problem? !!
Answer:
x = -1
Step-by-step explanation:
If you input -1 to both functions, you get 3.
[tex]solve : - \\ \\ (4 {}^{2} + 5 {}^{2} ) = {?}[/tex]
Step-by-step explanation:
4² = 16
5² = 25
16+25 = 41
41 is the answer.
Hope it helps! :)
Answer:
[tex]( {4}^{2} + {5}^{2} ) \\ (16 + 25) \\ = 41[/tex]
2. Write the slope-intercept form of the equation for each graph described. Line passing through (-5, 12) and parallel to the line whose equation is y = 2x + 5. Y =
Answer: y = 2x+22
========================================================
Explanation:
The equation y = 2x+5 is in the form y = mx+b
m = 2 = slope
b = 5 = y intercept
Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.
Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c
y = mx+c
12 = 2(-5)+c
12 = -10+c
12+10 = c
22 = c
c = 22
Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22
The equation of the parallel line is y = 2x+22
The graph is below.
help me pls i dont get this
Answer: B. 80
Step-by-step explanation:
Solve the equation they've given you:
[tex]\frac{3}{4} S=60\\\frac{3S}{4} =60\\3S=60*4\\3S=240\\S=80[/tex]
Answer:
B. 80
Step-by-step explanation:
(3/4)S = 60
You want to isolate S. S is being multiplied by 3/4.
You need to multiply 3/4 by its reciprocal to get rid of the 3/4 on the left side.
The reciprocal of 3/4 is 4/3.
The rule with equations is that you are allowed to multiplied both sides of an equation by the same number. Multiply both sides of the equation by 4/3.
4/3 * (3/4) * S = 4/3 * 60
12/12 * S = 4/3 * 60/1
1 * S = 240/3
S = 80
Answer: B. 80