Answer:
a) 4*x + 50 ≤ 100
b) Domain x (0 ; 12 ) Range f(x) ( 50 ; 98 )
Step-by-step explanation:
The constraint is:
4*x + 50 ≤ 100 where "x" is the number of persons
b) Domain for x
x = 0 up to x = 12 x (0 ; 12 )
c) Range for f(x)
f(x) = 4*x + 50
f(0) = 4*0 + 50 f(0) = 50
f(12) = 4*12 + 50 f (12) = 98
f(x) ( 50 ; 98 )
. In an extra-curricular club with 15 members,7 people played rugby, 6 people played soccer and 4 people neither play rugby nor soccer. How many people played both rugby and soccer?
Answer:
2
Step-by-step explanation:
In the above question, we are given the following information:
Total member in the club = 15
Rugby = n(R) = 7
Soccer = n(S) = 6
Neither Rugby nor Soccer = 4
Rugby and soccer = n( R ∩ S) = (Unknown)
Total number of club members = n(R) + n(S) - n( R ∩ S) + Neither Rugby nor soccer
15 = 7 + 6 - n( R ∩ S) + 4
15 = 17 - n( R ∩ S)
15 - 17 = - n( R ∩ S)
-2 = - n( R ∩ S)
n( R ∩ S) = 2
Therefore, the number of people that played both rugby and soccer is 2
please help me Find the volume of this shape.
Answer:
240 m^3
Step-by-step explanation:
It's a cuboid with a volume=l*b*h, where l, b, h are the dimensions of the shape.
Volume=5*12*4=240 m^3
Answer:
V =240 m^3
Step-by-step explanation:
The volume is given by
V = l*w*h where l is length w is width and h is height
V = 12*4*5
V =240 m^3
The U.S. Mint produces quarters that weigh about 5.67 grams each. After the
quarters are produced, a machine weighs them. If the quarter weighs 0.02 gram more
or less than the desired weight, the quarter is rejected. Write and solve an equation to
find the heaviest and lightest quarters the machine will approve.
[tex]\to \bold{|x-5.67|=0.02}\\\\[/tex]
heaviest[tex]\bold{=5.69\ g\\\\}[/tex]
lightest[tex]\bold{=5.65\ g\\\\}[/tex]
Evaluating each expression:
[tex]\to \bold{q = -8}\\\\ \to \bold{r = -6}\\\\ \to \bold{t=3}[/tex]
Learn more:
brainly.com/question/20845315
Tommy started a business in the year 1991. He got $44,000 profit in the first year. Each year his
profit decreased by 3%. Identify an exponential decay model to represent his decreasing annual
profit in the business?
Answer= decreasing annual profit in the business
are $13200.
Answer:
[tex]P = 44,000(.97)^{t}[/tex]
P=Profit
t=years
Step-by-step explanation:
[tex]P = 44,000(.97)^{t}[/tex]
P=Profit
t=years
Please help Describe a way that you can remember the elements of the reflection matrices if you forget where the 1s, -1s, and 0s belong.
Step-by-step explanation:
Multiplying the vertex matrix with the matrix gives us a reflection matrix. The most common matrix reflections are seen as reflection in the x - axis as well as reflection in the y - axis.
It can also be reflect by 90 degree or by 180 degree.
So, one way to remember the elements is by multiplying the given matrix by a unit matrix. And on the other hand you can remember the elements remembering by what degree we are reflecting the matrix. This way makes it easier to remember the elements.
The explanation regarding the elements of the reflection is explained below:
The following information should be considered:
In the case when we Multiply the vertex matrix with the matrix so it provides the reflection matrix. The most common matrix reflections are seen as reflection in the x - axis as well as reflection in the y - axis. It can also be reflect by 90 degree or by 180 degree.Learn more: https://brainly.com/question/17961582?referrer=searchResults
Someone help pleasee
Answer: 2
Step-by-step explanation: if you use a calculator or you could use paper and pencil write out the expression and you should get 2
Need help with VOCAB!!! Please make sure it's correct
Hey there!
I believe your answer would be a transformation, and not a translation.
A transformation is an operation that moves, flips, or otherwise changes a figure to create a new figure.
Hope this helps!
Have a wonderful day! :)
please help me is for my homework
Answer:
0.4
Step-by-step explanation:
Fraction =2/5
In decimal =0.4
a rectangle is 12 in wide and 18 in tall.if it is reduce to a height of 3 inches, then how wide will it be?
Answer:
2 in
Step-by-step explanation:
18/3=6 , 6 is the scale factor
12/6=2
Answer:
width= 2
Step-by-step explanation:
18 inches is the original height and we are now reducing that to 3 inches.
In order to do that, we have to divide 18 by 3 which equals 6.
Next, take the width of the rectangle, which is twelve and divide it by the scale factor of 6 which equals 2.
Your final answers should be: width= 2
Find all of the missing angles of sides of the triangle below. Note that side lengths are in centimeters. Show and/or explain your work thoroughly and round answers to the nearest hundredth if needed.
Answer:
c=19.21
<C=90
<B=38.66°
<A=51.34
Step-by-step explanation:
12²+15²=c²
144+225=c²
c=19.21
<C=90
For angle B, the sinB=Opposite over Hypotenuse
sinB=12/19.21
sinB=0.62467
B=sin^-1(0.62467)
<B=38.66°
To find A, 180-90-38.66
<A=51.34
Calculate the mass of 245 mL of benzene if the density of benzene is 0.8765 g/mL.
Answer: 214.7425g
Step-by-step explanation:
Total benzene = 245mL
Density of benzene = 0.8765g/mL
Which means there is 0.8765g benzene per mL
Mass = 245×0.8765
= 214.7425g
Therefore there is 214.7425g of mass in 245mL benzene
Must click thanks and mark brainliest
If the density of benzene is 0.8765 g/mL, the mass of benzene is 214.74 grams.
Given the following data:
Density of benzene = 0.8765 g/mL Volume of benzene = 245 mLTo find the mass of benzene:
Density is mass all over the volume of a substance or an object.
Mathematically, the density of a substance is given by the formula;
[tex]Density = \frac{Mass}{Volume}[/tex]
Making mass the subject of formula, we have;
[tex]Mass = Density[/tex] × [tex]Volume[/tex]
[tex]Mass = 0.8765[/tex] × [tex]245[/tex]
Mass = 214.74 grams.
Therefore, the mass of benzene is 214.74 grams.
Read more: https://brainly.com/question/18320053
The following shape is based only on squares, semicircles, and quarter circles. Find the area of the shaded part.
Answer:
The area of the shaded part is 36.53 cm²
Step-by-step explanation:
The dimension of the side of the square ABCD = 8 cm
The shaded part is seen to be the area of intersection of two quarter circles
The dimension of the radius of the quarter circles = The side length of the square
Therefore;
The dimension of the radius of the quarter circles = 8 cm
The figure can be taken as being formed by the two quarter circles with a square removed
The shaded area is the
Therefore, the area of the shaded part Sₐ, is given by the relation;
Sₐ = Area of first quarter circle + Area of second quarter circle - Area of the square
Given that the dimensions (radius) of the two quarter circles are the same, we have;
Area of first quarter circle = Area of second quarter circle = (π × 8²)/4 cm²
Area of the square = (Side length of the square)² = 8² = 64 cm²
Sₐ = (π × 8^2)/4 + (π × 8^2)/4 - 64 = 36.53 cm²
The area of the shaded part = 36.53 cm².
6 points are placed on the line a , 4 points are placed on the line b . How many triangles is it possible to form such that their vertices will be the given points, if a ∥ b ?
Answer:
7
Step-by-step explanation:
Given line a with 6 points on it, and line b with 4 points on it. Line a is parallel to line b, such that the two lines do not meet at any point even when extended.
Join the first point on line a to that on b, then back to the second point on a, return back to the second point on b, and continue till the line stops at the 5th point on line a. This forms triangles with vertices at the given points on the lines. The possible number of triangles that can be formed is 7.
3m-2-5n+p terms and coefficients
Answer: Answers are in the steps.
Step-by-step explanation:
The coefficients are 3, -5, and 1
The terms are, 3m, -2,-5n and p
Solve for x. 7^8 = 7^8 * 7^x
Answer:
x=0
Step-by-step explanation:
Lemma 1: 1a=a
Holds true for any real number a.
7^0=1
x=0
For all x, 5-3(x-4)=?
Answer:
the answer that i find is 17-3x
x = 1, 2, 3 , 4 ,5
y = 15, 12, 9, 6, 3
Write an equation which describes the rule in the following table:
Answer:
y = -3x + 18Step-by-step explanation:
We can see:
x- values increase by 1 unity- values decrease by 3 units (slope is -3).This is a linear relationship. Use point-slope form to find the equation:
y - 15 = -3(x - 1)y = -3x + 3 + 15 y = -3x + 18A. Determine if a given set ie a well-defined or not.
1. the set of all poor people in batangas.
2. the set of books well-liked by my classmate.
3. the set of handsome teachers in your school.
4. the set of whole numbers greater than 8 but less than 20.
5. the set of intelligent students.
Answer:
Step-by-step explanation:
1. yes
2. No
3. No
4. Yes
5. I have no idea about this one, but I think its not a well defined set
At the beginning of a snowstorm, Camden had 10 inches of snow on his lawn. The
snow then began to fall at a constant rate of 2.5 inches per hour. Assuming no snow
was melting, how much snow would Camden have on his lawn 4 hours after the snow
began to fall? How much snow would Camden have on his lawn after t hours of snow
falling?
Snow on lawn after 4 hours:
Show on lawn after t hours:
Answer:
ans - all the snow would been removed ....bcause 4 *2.5 is 10
Answer: 20
2.5 + 10
Step-by-step explanation:
How many equations are thereof: 70 divided by h equals 10?
What are those equations?
Answer:
We have:
"70 divided by h equals 10"
We can write it in only one equation:
70/h = 10.
This is a rational equation because our variable is in the denominator of a quotient.
To solve it we can multiply by h on both sides of the equation and get:
(70/h)*h = 10*h
70 = 10*h
now we divide both sides by 10.
70/10 = (10*h)/10
7 = h.
A set of furniture was sold for GH cedis 3000 at a profit of 25%. Find the cost price.
Answer:
2400GH CedisStep-by-step explanation:
[tex]Selling \:price = 3000gh Cedis\\Profit \% = 25\%\\Cost\:price =?\\\\CP =\frac{ ( Selling\:price \times 100 )}{ ( 100 + percentage profit)} \\\\C.P = \frac{3000\times 100 }{100+25}\\\\ C.P = \frac{300000}{125} \\\\Cost\: Price = 2400gh Cedis[/tex]
Jill can type 28 words per minute. At this rate, how many words can Jill type in 5.5 minutes?
A.
154
B.
157
C.
159
O
D.
162
Answer:
A
Step-by-step explanation:
Multiply 28 by 5.5
28 × 5.5 = 154 words → A
Answer:
the awnser is a=154
hope that helps
Step-by-step explanation:
can u give me brainliest
mila has 9 buttons mia has 225 mia has how many times as many buttons as mila?
Answer:
25
Step-by-step explanation:
divide mia's buttons by mila's
225 / 9
=25
Answer:
Step-by-step explanation:
225 ÷ 9 = 25
Mia has 25 times as many buttons as Mila
ABCD is a parallelogram. Find the values of x and y. Solve for the value of z, if z = x - y.
A
B
(x+30)° (x-30)
(y+20)
D
С
Answer:
(x+30)+(x-30)=180
2x=180
x=90
x+30=y+20
90+30=y+20
y=100°
There for z = -10
Decide if you would use the mean or median for the best measure of central tendency of real estate prices below from a neighborhood in San Diego, CA. You must calculate both the mean and median of the data, and then specify which measure represents the data the best, and why.
Answer:
$855,000
Step-by-step explanation:
$855,000 it's alot of money.
I helped you a lot... I'm sure you will pass
Make y the subject 3xy+6=v
Answer:
y = [tex]\frac{v-6}{3x}[/tex]
Step-by-step explanation:
[tex]3xy+6=v\\3xy=v-6\\y=\frac{v-6}{3x}[/tex]
What are the different ways you can solve a system of linear equations in two variables? What is the process for solving a system using each method?
ac circular runway has a radius of 100 m.Find the distance covered by a person in one complete rotation .
Answer:
628m
Step-by-step explanation:
Given radius=100m
distance=circumference
=2pie r
=2×22/7×100
=628m
please mark me brainliest
Rewrite as a simplified fraction.
3.2 = ?
(Repeating)
Answer:
Step-by-step explanation:
29/9 or 3 2/9
What is the image of (4,-7) after a reflection over the line y=x
Answer:
(-4,7)
Step-by-step explanation:
solved by graphing