Answer:
Step-by-step explanation:
Y-3x=13+3x
Determine the following. Complementary angles
Assume there is a virus in a town, and there exists one patient on day 1.
Assume that the patient transmits the virus to another person once per day, then this other person becomes a patient, and that all carriers spread the virus at the same rate, i.e. each patient passes the virus on to one other person per day.
Once someone has caught the virus, they do not catch it again.
The town has a fixed population of 700000
and the borders are closed so that no one can enter or exit the town.
How many days does it take to make everyone in the town catch the virus?
Using an exponential function, it is found that it takes 20 days for everyone in the town to catch the virus.
What is an exponential function?An exponential function is given as follows:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.For this problem, we have that:
On the first day, one person has the virus.On the second day, the first person transmitted the virus to another person, hence two people have the virus.On the third day, each of the two people transmitted the virus to another two, hence four people have the virus.From this, we get that the parameters are given as follows:
a = 1, b = 2.
Hence the function for the number of contaminated people after t days is given by:
[tex]f(t) = 2^t[/tex]
Now, we have to solve for t when f(t) = 700000, hence:
[tex]2^t = 700000[/tex]
[tex]\log{2^t} = \log{700000}[/tex]
[tex]t\log{2} = \log{700000}[/tex]
t = log(700000)/log(2)
t = 19.4, rounded to 20.
It takes 20 days for everyone in the town to catch the virus.
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Find the values of a and b.
Answer:
Step-by-step explanation:
7a + 33° = 10a - 12° ( being vertically opposite angle )
33° - 12° = 10a - 7a
21° = 3a
a = 21/3
a = 7°
Now,
6b - 42 = 3b ( vertically opposite angle )
6b - 3b = 42°
3b = 42°
b = 42/3
b = 14
hence , the value of a is 7°and b is 14°...
☘☘☘....
write and solve an equation to answer the question Alan bought 3 pencils and a notebook. the notebook cost $6,and he spent a total of $12. how much did each pencil cost use p to represent the cost of each pencil.
Answer:
Each pencil costs $2
Step-by-step explanation:
3p + 6 = 12
3p = 6
p = 2
3 pencils for 2 dollars is 6 dollars, plus the 6 dollars he spent on a notebook, equals the 12 dollars he spent total.
(a-b)(a+b)-c(c-2b) help me guys
Answer:
a^2-b^2+2bc-c^2
Step-by-step explanation:
We multiply a with a and negative b with b. Then multiply negative c with c and multiply negative c with negative 2b. After all add/ subtract like terms
Zeke is making posters for the school play. He borrows 12 bottles of paint from the art teacher. Each bottle has 300 milliliters of paint. To make his posters really sparkle, he also brings 400 milliliters of glitter paint from home. How many liters of paint does he have in all?
Answer:
4 liters
Step-by-step explanation:
300 × 12 = 3600 ml
3600 + 400 = 4000 ml
1 liters = 1000 ml
liters to milliliters need to × 1000
milliliters to liters need to ÷ 1000
4000 ÷ 1000 = 4 liters
what is the answer of -6 + (12)
Answer:
6
Step-by-step explanation:
-6 + (12)
○ First you remove the brackets
○ Then you will get -6 + 12
○ Negative Positive (-+) equals Negative
○ You will put will subtract the bigger number by the smaller number
i.e 12-6
○ You will get your answer as 6
Find the quotient and round the answers to 6 decimal places.
1.
09) 6.815.3
Answer:0.757
Step-by-step explanation:
r= x + 9x
Solve the literal equation for x
Show steps please im confused
The linear equation in terms of the variable R is determined as x = R/10.
Given data:
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
The given equation is:
R = x + 9x
First, let's combine the like terms on the right side of the equation:
R = 1x + 9x
R = 10x
Now, we want to solve for x. To isolate x, divide both sides of the equation by 10:
R/10 = x
So, the solution for x is:
x = R/10
Hence, the expression for in terms of R is x = R/10.
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f(x)=2x^-6 Find f(7)
Answer: 1/58824.5
Step-by-step explanation: 2x7^-6
2x1/117649
=1/58824.5
If M (-2, 5) is the midpoint of
CD and the coordinates of C are (4, 7), what are the coordinates of D?
Answer:
soln ,given,
midpoint of CD=M(-2,5)
let,
C(4,7)=(x1,y1)
D(x1,y2)=?
now by using midpoint formula =(x1+x2)/2+(y1+y2)/2
M(-2,5)=( 4+x2)/2+(7+y2)/2
comparing both sides
-2=(4+x2)/2
-4=4+x2
-4-4=x2
threfore,x2= -8
again
5=(7+y2)/2
10=7+y2
therefore,y2=3
thus , the coordinate of D is D(-8,3)
Consider this figure.
For A-C, select True or False for each statement about the sequences of transformation that can verify that traingle ABC is congruent to A'B'C'.
A. Triangle ABC is translated 1 unit to the left, followed by a reflection the x-axis. True/False
B. Triangle ABC is translated 1 unit to the right, followed by a reflection the x-axis. True/False
C. Triangle ABC is reflected across the x-axis, followed by a translation 1 unit to the right.
True/False
Answer is
A. False
B. True
C. False
According to the graph,
A (1, -2), B(b, - 2), C(1, -7), A'(-b , b), B'(-1 ,b), C'(-b , 1).
A. if ABC is reflected across x-axis. (x, y) reflected x-axis→ (x-y)
so A'(1,2), B' (b-2), C'(1-7) , it's no equal to title .
so A is false.
B. if ABC is translated 7 units to the left , up 8 units.
(x, y)→(x-7,y+8),
so A'(-b , b), B'(-1 ,b), C'(-b , 1)
it's equal to title. so B is true.
C. if ABC is translated 8 units down, 7 units to right
(x y)→(x+7, y-8),
so A' (8,-10),B'(13,-10), C'(8,-15)
it's not equal to title. so C is false.
A transformation is the movement of a figure. There are four types of transformations: reflection, rotation, translation, and dilation. Of these four types of transformations, a transformation can either be a congruent or similar shape to the original image. Congruent means that the shape or figure retains its size, shape, length, and angles of the original shape.
A rotation is a turn around a centre point. In a rotation, the distance from each point on the shape to the centre remains the same. A rotation is identified by a shape turning a specific amount degrees, usually 90, 180, or 270 degrees, around a point either clockwise or counter clockwise. This means with each rotation performed four things are given.
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find the cumulative frequency
We get the cumulative frequency as:
3
7
13
22
29
36
37
We are given the data:
Daily Low(°F) Frequency
35 - 39 3
40 - 44 4
45 - 49 6
50 - 54 9
55 - 59 7
60 - 64 7
65 - 69 1
We have to find the cumulative frequency of the data.
We will do this by adding the data values of previous interval.
Daily Low(°F) Frequency cumulative frequency
35 - 39 3 3
40 - 44 4 7
45 - 49 6 13
50 - 54 9 22
55 - 59 7 29
60 - 64 7 36
65 - 69 1 37
Therefore, we get the cumulative frequency as:
3
7
13
22
29
36
37
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Snorkel's age 15 years ago was 22. How old is Snorkel today?
Are 12,16,20 pythagorean triplets. Explain why.
Answer:Yes,these are pythagorean triplets because you can divide all three by the same number which is 4.
Step-by-step explanation:12 divided by 4 is 3. 16 divided by 4 is 4. And 20 divided by 4 is 5.
Answer:
Yes
Step-by-step explanation:
They all have a scale factor of 4 and 3,4,5 are also Pythagorean triplets
Givin that m < QST = 135 solve for x and find each angle
By solving a linear equation we can see that the value of x is 28, and with that, we can see that the measure of the left angle is 85 degrees, and the measure of the right angle is 50 degrees.
How to find the measures of the angles?
We know that the angle at vertex S measures 135°, then we can write the linear equation:
(3x + 1)° + (2x - 6)° = 135°
First, we need to solve this for x.
3x + 1 + 2x - 6 = 135
5x - 5 = 135
5x = 135 + 5 = 140
x = 140/5 = 28
Now that we know the value of x, we can find the two measures, which are:
QSR = (3x +1) = (3*28 + 1)° = 85°
RST = (2x - 6)° = (2*28 - 6)° = 50°
The measure of the left angle is 85 degrees, and the measure of the right angle is 50 degrees.
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Which set of ordered pairs does not represent a function?
{(-8,-2), (0, 2), (-6, 2), (-4,-1)}
{(-6,-4), (-9, 0), (5, -7), (-3,-4)}
○ {(1,6), (-3, 6), (6, 3), (0, -4)}
{(6, 7), (-3, 8), (7,-2), (-3,-3)}
Suki is trying to solve the equation 62.75 + x = 92.
Determine whether Suki could use each statement below to reason and solve the equation.
Choose Yes or No for each statement.
A) Suki can add 62.75 to both sides of the equation.
[ Select ]
B) Suki asks, "What number can be added to 62.75 to get 92?"
[ Select ]
C) Suki thinks, "x is the difference between 92 and 62.75."
[ Select ]
D) Suki can divide 92 by x to get a value equal to 62.75.
[ Select ]
E) Suki knows that 62.75 + 0.25 = 63 and 63 + 29 = 92, so x must be 29.25.
[ Select ]
Answer:
picle scoops ina lane
Step-by-step explanation:
Answer:
29.25
Step-by-step explanation:
Marcie cooked dinner for herself. The original recipe has a serving size of 3 and requires three and three sevenths pounds of chicken. How many pounds of chicken will be needed for a single serving?
one and one seventh pounds
nine and three sevenths pounds
two over 49 pounds
three sevenths pounds
Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The number of pounds for 3 people is given by:
[tex]3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}[/tex]
Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:
[tex]\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}[/tex]
24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:
one and three seventh pounds.
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Answer:
Step-by-step explanation:
the awnser is cerrot.
jackie's hair grows 3/4 in 1 and 1/2. how much hair grows per mouth
The answer is 1/2
The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.
Jackie grow hair in 3/2 month = 3/4
Jackie grow hair in 1 month = 3/4 x 2/ 3
= 1/2
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Find the midpoint of the given line segment with the given endpoints
(-3, 8) and (2, -4)
Answer:i have same question
Step-by-step explanation:
101+102-103+104-105+106-…-199+200
Please answer asap!!! Will give brainliest!!!!
Answer:
252
Step-by-step explanation:
One way we could think about this problem is by grouping the numbers together into pairs: -103+104 would be a pair, -105+106 would be a pair and et cetera up to the pair -199+200.
As you can see, each of these pairs add to 1 (-103+104=1, -199+200=1 etc.), so to solve this problem we can simply find how many of these pairs there are and multiply the number by 1 since each pair will total to 1.
To find how many pairs there are we need to find the number of numbers between 103 and 200 (incl.) and divide it by 2.
200-103= 97 numbers, adding 1 to count the one we started with gives us 98 numbers between 103 and 200 (incl.).
98/2 = 49 pairs of numbers. Since each pair totals 1, 1x49 is the total sum of all these pairs of numbers.
Now we need to address the other two numbers. The sequence started with 101+102 before we looked at the remaining pairs, so to find the sum, we just need to add together 101+102+49.
101+102+49 = 252
Hope this helped!
Answer two questions about systems a and b: ​ x−7y=−3 4x y=7 ​ ​ 4x y=7 x−7y=−3 ​
our ordered pair is ( 2 , 1/2).
What is linear equations in two variables?
If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.Let's first move the y's to the left side in the first equation.
4x - y = 3y + 7
4x - 4y = 7
Dividing both sides by 4,
x - y = 7/4
Our other equation is
x + 8y = 4
Subtracting the first equation from the second, we get
9y = 9/4
y = 1/4
We plug this into one of the equations
x + 2 = 4
x = 2
So our ordered pair is ( 2 , 1/2)
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Q1: 1+2-3+4-5+6-…-99+100
Q2: 2+4-6+8-10+12-…-198+200
please help asap!!! Brainliest will be given if correct!!! Thanks <3
Answer:
Q1. 5050 Q2. 20100
Step-by-step explanation:
2y-4+5y=4-3y+5
How to solve this?
Answer:
You would first move all of the y numbers to one side so it should look like this: 2y-4+5y+3y=4+5. Then you would all the numbers that don't have y at the end to the other side: 2y+5y+3y=4+5+4.
Then you would add them all up: 10y=13
So your answer is 10y=13
Step-by-step explanation:
helppppspsosoosooooooooppo please I need to finish thsi
Answer:
The answer is correct.
Step-by-step explanation:
Negative means Below
Positive means above
Volume of Spheres find the volume
Step-by-step explanation:
Oke so basically we can calculate volume like this
1st: v=
[tex] \frac{4}{3} \times \pi \times r {3}^{?} [/tex]
Which equals:
[tex] \frac{4}{3} \times 3 \times {3}^{3} and \: it \: equals > 108 {\pi}^{3} [/tex]
A repair shop charges $50 per hour. this week it is offering
a $20 discount. the equation c = 50h-20 represents the
total cost, c, of a job taking h hours. what is the total cost
of a job that takes 6 hours?
$280
b $50
$300
$30
The cost of a job that takes 6 hours is $280.
Discount:
Discount, the term referred as the amount or percentage deducted from the normal selling price of something. The discount means a reduction in the price of a good or service.
Given,
A repair shop charges $50 per hour. this week it is offering a $20 discount. And it represents the equation as,
c = 50h-20
Where
c represents the total cost, and
h represents the hours taken.
Here we need to find the total cost of a job that takes 6 hours.
According to the given details we know that the value of h = 6.
Then we need to find the value of c,
So,
=> c = 50(6) - 20
=> c = 300 - 20
=> c = 280
Therefore, the total cost of a job that takes 6 hours is $280.
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find the indicated length.
Point R bisects segment ST. Find RT if ST = 16.9 meters.
RT=
The value of the indicated length RT is 8.45 meters
How to find the indicated length?The given parameters are
Point R bisects segment ST. ST = 16.9 meters.The above means that
RT = 1/2 * ST
So, we have
RT = 1/2 * 16.9
Evaluate the products
RT = 8.45
Hence, the value of the indicated length RT is 8.45 meters
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Box
30 cm
32 cm
15 cm
A wooden box measures 30 cm by 15 cm by 32 cm.
The box has a lid.
Carton
Can James put all 110 cartons in the box and shut the lid?
Show your working clearly.
5 cm
A carton measures 5 cm by 5 cm by 5 cm.
James has 110 cartons.
He wants to put all these cartons in the box and be able to shut the lid.
5 cm
5 cm
D
ac
