Answer:
Each gets 36 nights of sleep every 45 nights.
Step-by-step explanation:
This is called the handshake problem, which is the same problem as n guests (including host) attend a party. At the end, everyone shakes hands with everyone else. The number of handshakes is each person shakes hands with (n-1) other persons to give n(n-1) handshakes. However, this counts each handshake twice (A with B and B with A), so the actual number of handshakes is n(n-1)/2
For n=10, then number of "teams" of two meerkats is 10(10-1)/2 = 45.
So each meerkat gets to be on duty 9 nights out of 45, or gets 36 nights of sleep every 45 nights.
HELP urgently please please❤️❤️❤️Please
Answer:
Step-by-step explanation:
From the graph we can notice that :
g(2)=5g(-2)=2g(3)=0g(5)=1Again we can deduce from the graph that :
g(x)=0 when x= -3g(x)=6 when x= 0one container is filled with a mixture that is 30% acid a second container is filled with the mixture that is 50% acid the second container is 50% larger than the first and the two containers are emptied into a third container what percent of acid is in the third container
Answer:
42%
Step-by-step explanation:
x is for the volume of the container
the amount filled in the first container=0.30x
the volume of the first container + 50% of the second=(x+x*50%)=1.5 x
the amount of acid in the second container= 1.5x * 50%=0.75x
total amount of acid in the third one =0.3x+0.75x=1.05x
total solution : x+1.5x=2.5x
percentage=1.05x/2.5x= 0.42 or 42%
Look in pic for what to do! I’ve formed the equation just need help to solve the equation!
Answer:
[tex]4x-3=11\\4x= 11+3\\x= 14:4\\x=\frac{7}{2}[/tex]
Step-by-step explanation:
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Linear Equations in One Variable.
so here for solving, we get as,
=> 4x - 3 = 11
=> 4x = 11+3
=> 4x = 14
=> x = 14/4
=> x = 3.5
What do you think the purpose of this survey is? Explain.
Answer:
To better understand the data you're working with
Step-by-step explanation:
Note that, the sample is a subset of your whole population (population here is a general definition, it could be a population of cars for example), which means that if you want to understand your population your best "bet" would be using a sample to try to estimate some unknown characteristics of your population. Let's suppose you want to estimate the true mean of your population, then you would need a sample, and if this sample is big enough you could approximate the estimative to the true mean.
It's hard to say exactly what this survey could mean, but the general idea is to understand your data a little more, see if there is any pattern, if a certain value occurs more than others, to calculate the sample mean, median and standard deviation, and so on...
Hope it helped!
Which of the following is equal to √16*4?
A. 64
B.√16/4
C.√16×√4
D.32
Answer:
C
Hope I am correct :)
someone help me I will give brainliest:)
Answer:
Hello There. The correct answer is 10^(-4)
Explanation: 0.000 038 52 x 3.852 = Hope it Helps! ♡ 10^(-4)
ItsNobody~
area of the base pentagonal prism with a volume of 50 cubic centimeters and a height of 7.5 centimeters
Hey there!
To find the volume of any prism, you multiply the base by the height. However, we want to find the base here. So, we do it backwards and take the volume and divide it by the height, and this will give us our base!
50÷7.5=6 2/3
Therefore, the area of the base of a pentagonal prism with a volume of 50 cubic centimeters and a height of 7.5 centimeters is 6 2/3 square centimeters.
Have a wonderful day! :D
Suppose a triangle has sides a, b, and c, and the angle opposite the side of length b obtuse. What must be true?
Answer:
C
Step-by-step explanation:
If the angle opposite b is the obtuse angle then the answer is a² + c² < b² because in an obtuse triangle, the sum of the squares of the shortest sides must be less than the square of the longest side. In this case, the longest side is the one opposite the largest angle, which is b.
Answer:
C.
Step-by-step explanation:
In triangles, the largest angle is always opposite from the longest side.
In other words, since the angle opposite to side b is obtuse and there are only 180 degrees in a triangle, then side b must be the longest side.
In an obtuse triangle, the longest side squared will always be greater than the squared values of the two shorter sides.
The correct answer is C.
What is 9 + 10 ? I’m so confused. People keep telling me it’s 21 but it doesn’t seem right.
Answer:
It's 21.
Step-by-step explanation:
The factors of 9 are 3 and 3. (You need to multiply 3x3 to get 9.) The factors of 10 are 5 and 2. But, if you multiply 3 by 5, which gives you 15, and multiply the other 3 by 2, which gives you 6, and then add 6 to 15, you get 21.
What is the greatest common factor of (2^5 x 6^7) and ( 2^3 x 6^8)
Answer:8 12 and 20
Step-by-step explanation:I googled it
H(x)=-5x^2+10x+15h(x)=−5x 2 +10x+15h, left parenthesis, x, right parenthesis, equals, minus, 5, x, squared, plus, 10, x, plus, 15 What is the height of the stone at the time it is thrown?
Answer:
15 units
Step-by-step explanation:
Given the equation which models the path of a stone as:
[tex]H(x)=-5x^2+10x+15[/tex]
At the time when the stone was thrown
x=0
Therefore:
[tex]H(0)=-5(0)^2+10(0)+15\\H(0)=15[/tex]
The height of the stone at the time it is thrown is 15 units.
What are the radius and circumference of a circle with diameter of 12 meters
Answer:
radius =6, circumference=37.7 m
Step-by-step explanation:
radius=12/6, circumference=2*pie*r
2*22/7*6=37.7 m
Answer:
Circumference of a circle = 2πr
where r is the radius
radius = diameter / 2
radius = 12 / 2 = 6 m
radius is 6 meters
Circumference = 2π×6
= 12π
= 37.7 meters
Hope this helps
Which algebraic expression is a polynomial? 3m2n-2m/n+1/n
Answer:
d) [tex]7mn+\frac{3m}{2}+\frac{5n}{4}[/tex]
Step-by-step explanation:
Which algebraic expression is a polynomial?
[tex]a)3m^2n-\frac{2m}{n}+\frac{1}{n} \\b)\frac{2mn}{5}-\frac{\sqrt{m} }{4} +4m^5\\c)\frac{4m^3}{n^2}-3mn^5+\sqrt{8}\\d)7mn+\frac{3m}{2}+\frac{5n}{4}[/tex]
Answer: A polynomial is an expression with variables and coefficients separated by addition and subtraction. The following are used when determining if an expression is a polynomial:
i) Variables of a polynomial must not have negative exponent.
ii) Variables of a polynomial must not have fractional exponent.
iii) Dividing by an exponent is not allowed
iv) Exponent radicals are not allowed.
a) [tex]3m^2n-\frac{2m}{n}+\frac{1}{n}[/tex] is not a polynomial because dividing by an exponent is not allowed.
b) [tex]\frac{2mn}{5}-\frac{\sqrt{m} }{4} +4m^5[/tex], is not a polynomial because exponent radicals are not allowed (√m)
c) [tex]\frac{4m^3}{n^2}-3mn^5+\sqrt{8}[/tex] is not a polynomial because dividing by an exponent is not allowed.
d) [tex]7mn+\frac{3m}{2}+\frac{5n}{4}[/tex] is a polynomial
Answer:
d
Step-by-step explanation:
PLEASE ALL YOU NEED TO DO IS MATCH NUMBERS *Drag the tiles to the correct boxes to complete the pairs. Match the algebraic addition of each pair of complex numbers to its sum represented graphically.*
Answer:
1) A = (3 + 5·i) + (2 - 3·i)
2) A = (-3 + 5·i) + (-2 - 3·i)
3) A = (-3 + 5·i) + (2 + 3·i)
4) A = (3 - 5·i) + (2 + 3·i)
Step-by-step explanation:
1) For the first chart, we have;
To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows
A = (3 + 5·i) + (2 - 3·i)
2) For the second chart, we have;
To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows
A = (-3 + 5·i) + (-2 - 3·i)
3) For the third chart, we have;
To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows
A = (-3 + 5·i) + (2 + 3·i)
4) For the fourth chart, we have;
To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows
A = (3 - 5·i) + (2 + 3·i)
Solve for x .x + 7 = 15
Answer: x = 8
Step-by-step explanation:
because x + 7 = 15, you can subtract 7 from both sides to get x = 8.
Hope it helps <3
Answer:
8
Step-by-step explanation:
x + 7 = 15
x = 15 - 7
x = 8
Thus, the value of x is 8
Fill in the blanks to solve 2{,}000 \times 92,000×92, comma, 000, times, 9. 2{,}000 \times 92,000×92, comma, 000, times, 9 Step 111 {} \times \ 2 \times 9× 2×9times, space, 2, times, 9 Step 222 {}\times \ 18× 18times, space, 18 Step 333
Answer:
[tex]\boxed{}[/tex] =1,000
Step-by-step explanation:
We want to solve: [tex]2{,}000 \times 9[/tex]
Now, 2000=1000 X 2
We were given the following steps:
[tex]S$tep 1: \boxed{1000} \times \ 2 \times 9\\S$tep 2: =\boxed{1000} \times \ 18\\S$tep 3: =18,000[/tex]
Therefore, the blank space is to be filled with 1000.
[tex]2{,}000 \times 9 =18{,}000[/tex]
How many roots does a linear equation have?
Answer:
1 root
Step-by-step explanation:
A linear equation should only cross the x-axis at one point. That means there would only be 1 root. (Root is when y= 0)
Calculate the following without the use of a calculator
6-(-4) - 5
Answer:
Calculate 6-(-4)-5
6-(-4)-56+4-510-55so : 6-(-4)-5 = 5
The Answer is 5
if you calculate it you get 5
Nora orders a bowl of Tom Yam soup at a restaurant which offers a 15% discount.
The marked price of the Tom Yam soup is $6.90. Given that there is a service
charge of 10% and CST is at 7%, find the total amount of money she has to pay.
plz answer this question
i cannot understand it!
(-3,0) m = 2
Finde slope intercept form
Answer: y = 2x + 6
Step-by-step explanation:
Slope-Intercept form is represented by y = mx + b, whereas m represents the slope and b represents the y-intercept.
m = 2 is the slope (up 2 units, over 1 unit) and the line goes through 6 on the y-axis, which is where + 6 comes in.
The line also goes through (-3, 0) using the slope.
How do you write 5.4 × 103 as an ordinary number?
Answer:
5400
Step-by-step explanation:
5.4 × 10³
Move the decimal point 3 places to the right.
⇒ 5400
A pattern is made from 4 congruent squares the sides of the squares are parallel to the axis
Answer:
Coordinate of C = (22, 20)
The Complete Question related to this found at ELEVISE website is stated below:
A pattern is made from four identical squares. The sides of the squares are parallel to the axes. Point A has the coordinates (6, 7)
Point B has the coordinates (38, 36)
Point C is marked on the diagram.
Work out the coordinates of C.
Step-by-step explanation:
Coordinates (x, y)
Point A has the coordinates (6, 7)
Point B has the coordinates (38, 36)
Find attached the drawing
From the labelled diagram
Change in y = 36-7 = 29
Change in x = 38-6 = 32
Using the horizontal axis:
The length of congruent 4 squares is between 38 and 6 = 32
The length of each congruent 4 squares = 32/4
The length of each congruent 4 squares = 8
Therefore the dimensions of the square is 8 by 8
Coordinate of C (x, y)
For x axis = 38 - length of 2 squares OR 6+ length of 2 squares
38 - length of 2 squares =38 - 2(8)
= 38-16 = 22
For y axis = 36 - length of 2 squares
= 36 - 2(8)
= 36-16 = 20
Coordinate of C = (22, 20)
Find the slope of the line that goes through (0,2) and (4,-2)
Please Answer! Select the correct answer. Waylan created a scatter plot and drew a line of best fit, as shown. What is the equation of the line of best fit that Waylan drew?
Answer:
The answer is y=3/4+5 (C)
Step-by-step explanation:
You have to find two exact points on the line then calculate the rise/run (3/4). 3/4 is the slope. Now all that's left is to find the y- intercept (where the line crosses the y-axis) which is 5. Which leaves you with answer choice C.
The equation of the line of best fit that Waylan drew is y=3/4 x+5. Therefore, the correct answer is option C.
From the given graph, the coordinate points are (4, 8) and (16, 17).
Here, slope (m) = (y₂-y₁)/(x₂-x₁)
= (17-8)/(16-4)
= 9/12
= 3/4
Substitute m=3/4 and (x, y)=(4, 8) in y=mx+c, we get
8=3/4 ×4+c
8=3+c
c=5
Substitute m=3/4 and c=5 in y=mx+c, we get
y=3/4 x+5
Therefore, the correct answer is option C.
To learn more about the line of fit visit:
https://brainly.com/question/14279419.
#SPJ4
How many values of x make 6x+8= 54 a true statement?
a) one value
b) no values
c) infinite values
Answer:
c
[tex]7.6666666666[/tex]
bcz its
Step-by-step explanation:
[tex]6 = 54 - 8 \\ 6x = 46 \\ x = 46 \div 6 \\ x = 23 \div 3 \\ [/tex]
A ball always bounces to 3/5 of the height from which it is dropped. The ball is dropped from 1.8m and bounces 3 times. How many times will it rise from the third bounce?
Answer:
0.3888 m or 38.88 cm
Step-by-step explanation:
I believe the question should be "how high will it rise from the third bounce?"
Initial height = 1.8m
If the ball only rises to 3/5 of the previous height after each bounce, the heights after the first three bounces are;
[tex]h_0=1.8m\\h_1=\frac{3}{5}*1.8=1.08\ m\\h_2=\frac{3}{5}*1.08=0.648\ m\\h_3=\frac{3}{5}*0.648=0.3888\ m[/tex]
The ball will rise 0.3888 m or 38.88 cm from the third bounce
Answer: 2.92h
Explanation:
Given:
the ball falls and rebounds to 3/5 of the height it is falling.
Height = 1.8m
to calculate the total distance traversed by the ball up to the third bounce
D = h(0) + (3/5) x h(0) + (3/4) h(0) + (3/4) x (3/4) h(0) + (3/5) x (3/5) h(0) the ball falls and rebounds to 3/4 of the height it is falling.
this distance = down + up +down +up +down only
otherwise it will do the after 3rd bounce travel.
D = h(0) { 1 + 2 x (3/5) + 2 x (9/25) }
= 2.92h(0)
Which best explains why these two figures are similar or not similar?
Hey there! :)
Answer:
These two figures are similar because 5/3 equals 15/9.
Step-by-step explanation:
These figures are similar to each other, which means the side-lengths are proportional. Therefore:
[tex]\frac{5}{9} = \frac{15}{9}[/tex]
Side-lengths 15 and 9 are proportional to 5 and 3 because the two fractions are equivalent; the larger rectangle is just 3 times larger.
Which best describes the relationship between the line that passes through the points (9, –1) and (11, 3) and the line that passes through the points (–6, –4) and (–4, 0)?
A. parallel
B. neither perpendicular nor parallel
C. perpendicular
D. same line
Answer:
The answer is option B
neither perpendicular nor parallel
Hope this helps you
SHOW YOUR WORK PLEASE!
Answer:
not equivalent
Step-by-step explanation:
Given
[tex]\frac{6}{7}[/tex] = [tex]\frac{7}{9}[/tex]
If the ratios are equivalent then ib cross- multiplying the 2 sides should be equal, that is
6 × 9 should equal 7 × 7
However, 54 ≠ 49
Thus the ratios are not equivalent
Solve the following equation using the quadratic formula.
x^2 - 8x + 97 = 0
А.x = 8 + 18i and x = 8 – 18i
B.x= 8 + 18i and x = 8 - 18i
C.x= 4 + 9i and x = 4 - 9i
D. x= 4 + 9i and x= -4 - 9i
Answer:
x = 4 ±9i
Step-by-step explanation:
x^2 - 8x + 97 = 0
Complete the square by subtracting 97 from each side
x^2 - 8x =- 97
Take the coefficient of x
-8 and divide by 2
-8/2 = -4
Then square it
(-4)^2 = 16
Add it to each side
x^2 - 8x + 16 = -97+16
(x-4)^2 = -81
Take the square root of each side
x-4 = ±sqrt(-81)
x-4 = ±9i
Add 4 to each side
x = 4 ±9i
Answer:
C. x= 4 + 9i or x = 4 - 9i
Step-by-step explanation:
[tex]x^2 - 8x + 97 = 0[/tex]
Use the quadratic formula.
[tex]\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Substitute a = 1, b = -8, and c = 97.
[tex]\frac{-\left(-8\right)\pm\sqrt{\left(-8\right)^2-4\times 1\times 97}}{2\times 1}[/tex]
Evaluate.
[tex]\frac{8\pm\sqrt{324}i}{2\times 1}[/tex]
[tex]\frac{8\pm18i}{2}[/tex]
[tex]4\pm9i[/tex]