Answer: 53/30
Step-by-step explanation:
4/6 + 2/4 + 3/5 =
2/3 + 1/2 + 3/5 = ==> Simplify Denominators
30/30 * (2/3 + 1/2 + 3/5)= ==> Have matching denominators by multiplying by the LCM (Least common multiple) of the denominators
(2*30/3 + 1*30/2 + 3*30/5)/30=
(60/3 + 30/2 + 90/5)/30=
(20 + 15 + 18)/30=
(35 + 18)/30=53/30
find ∠rqt (4x+15) (10x-3)
The measure of angle RQT is 63°
Calculating anglesFrom the question, we are to determine the measure of angle RQT.
From the diagram,
We can observe that ∠PQS and ∠SQT form a linear pair
Thus,
∠PQS + ∠SQT = 180°
(4x + 15)° + (10x - 3)° = 180°
First, determine the value of x
4x + 15 + 10x - 3 = 180
4x + 10x = 180 - 15 + 3
14x = 168
x = 168/14
x = 12
In the diagram,
∠RQT and ∠PQS are vertically opposite
From the given information,
∠PQS = (4x + 15)°
∴ ∠RQT = (4x + 15)°
Substitute the value of x
∠RQT = (4(12) + 15)°
∠RQT = (48 + 15)°
∠RQT = 63°
Hence, the measure of angle RQT is 63°
Learn more on Calculating angles here: https://brainly.com/question/11002516
#SPJ1
For a certain type of computers, the length of time between charges of the battery is normally distributed with a mean of 50 hours and a standard deviation of 15 hours. john owns one of these computers and wants to know the probability that the length of time will be between 50 and 70 hours? choose one.
The probability that the length of time will be between 50 and 70 hour is 0.4082.
What is normal distribution?Height is a simple instance of an event that describes a normal distribution: most people are of medium height, the proportions of people who are taller and shorter than average are roughly equal, and a very small (but still roughly equivalent) proportion of people either are extremely tall or extremely short.
Now, as per the given question;
Let t be the variable representing the length of time (t = 50)
As a result, the mean of the battery is 50 and the standard deviation is 15.
Thus, μ = 50 (mean) σ = 15 (standard deviation)
Now, we must calculate the probability that t is between 50 & 70.
Thus, the probability P (50 < t < 70)
The z-value will be calculated as;
Z = (t – μ) / σ
Substitute the values,
Z = 50 – 50 / 15
Z = 0
Now, for the time; t = 70
Z = 70 – 50 / 15
Z = 1.33
Thus, the probability is;
P(50 < t < 70) = P(0 < z < 1.33)
So, the area to left of Z
= 1.33 – area to the left of z = 0
= 0.9082 – 0.5
P(50 < t < 70) = 0.4082
Therefore, the probability that the length of time will be between 50 and 70 hours is 0.4082.
To know more about normal distribution, here
https://brainly.com/question/26822684
#SPJ4
What is the surface area of a pyramid with measurements of 4cm by 4cm by 7cm
Answer:
Area of one face of pyramid equal 18.55
Step-by-step explanation:
Area of pyramid equal 18.55x4=74.2
HII NEED HELP PLEASE! I DON'T UNDERSTAND
Answer: f(-2)=3
Step-by-step explanation:
f(-2)=(-2-1)^2+3(-2)
=9-6
=3
This is the only true statement out of the questions.
So the answer would be -2.
Sketch a graph of f(x)
The graph that depicts the graphical representation of the function F(x) is attached below
This is further explained below.
What is a graph?Generally, The collection of ordered pairings where "f(x)=y" exists is the network of a function f.
These pairs are Centroid of locations in two-dimensional space and so constitute a subset of this plane in the typical situation when x and f(x) are real integers.
In conclusion, is a collection of discrete or continuous points that together form a curve or surface and each of which corresponds to a certain function's value. also known as a linear graph.
Read more about graph
https://brainly.com/question/17267403
#SPJ1
HELP ME ASAP FOR MATHS
Answer:5 higher and 1 horizontal
Step-by-step explanation:
Find the 66th term of the arithmetic sequence -10, 7, 24, ...
========================================
Explanation:
[tex]a_1[/tex] = -10 is the first term
d = 17 is the common difference. We add this amount to each term to get the next one. Eg: -10+17 = 7
We want to find the 66th term, so we'll use n = 66
Plug these values into the nth term arithmetic sequence formula below.
[tex]a_n = a_1 + d(n-1)\\\\a_{66} = -10 + 17(66-1)\\\\a_{66} = 1095\\\\[/tex]
The 66th term is 1095
Answer:
The answer is 1095.
66th term = 1095
Step-by-step explanation:
an = a1 + (n − 1)d
= -10 + (66 - 1) (17)
I did it on calculator.
It equals to = 1095
If a(x) = 3x + 1 and b(x) = √x-4, what is the domain of (bºa)(x)?
SOlution : Domain of (bºa)(x) = [4, ∞]
The term domain is most commonly used to describe the set of values D for which a function (map, transformation, etc.) is defined. For example, a function f(x) that is defined for real values x in R has domain R, and is sometimes said to be "a function over the reals." The set of values to which D is sent by the function is then called the range.
The domain (in its usual established mathematical sense) of a probability density function (and therefore also its distribution function) is available with the undocumented Wolfram Language command DistributionDomain[dist].
The meaning of "domain" in topology is a connected open set.
Another meaning of "domain" is what is more properly known as an integral domain, i.e., a ring that is commutative under multiplication, has an identity element, and no divisors of 0.
In the algebra of the function that is (f ± g)(x), (fg)(x) and (f/g)(x) the domain of the function will be an intersection of the domain of the functions f and g
Here the domain of the product of the function is asked thus the required domain will be an intersection of the domain of the function a and b.
Given a(x) = 3x + 1 ⇒ Domain, D1 = R
b(x) = √(x - 4) ⇒ Domain, D2 = [4, ∞]
Now, Domain of (b*a)(x) = Domain b(x) ⋂ Domain a(x)
= D2 ⋂ D1
= [4, ∞] ⋂ R
= [4, ∞]
Domain of (bºa)(x) = [4, ∞]
More details: brainly.com/question/28135761
#SPJ9
Let the graph of g be a translation 4 units left followed by a horizontal shrink by a factor of 1/3 of the graph of f(x)=x²+x. Write a rule for g
The transformed function is:
g(x) = (3*(x + 4))² + (3*(x + 4))
How to write the transformed function?Here we have the function:
f(x) = x² + x
Now we want to apply a translation of 4 units to the left, followed by a horizontal shrink by a factor of 1/3.
First, the translation is written as:
g(x) = f(x + 4)
Now the shink will give:
g(x) = f( 3*(x + 4))
Replacing the actual function we will get:
g(x) = (3*(x + 4))² + (3*(x + 4))
If you want to learn more about transformations:
https://brainly.com/question/4289712
#SPJ1
84 x 8 + the amount of 3 =
how do u work out 1/2(2y+4)=-6
Answer:
The answer is y = -8
Step-by-step explanation:
You distribute,
1/2 x 2y = y
1/2 x 4 = 2
y+ 2 = -6
(then you subtract 2)
y=-8
If you would like to check, just put -8 into the equation in place of y
So it would look like this: 1/2(2 x -8 + 4) = -6
If it equals -6 then it means your answer is correct
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
13. For a party, Bob's Pizza charges $12 for each
supreme pizza while Mike's Pizzeria charges based
on the equation y = 8x + 20. How many pizzas
must you order for the price to be the same?
The number of pizzas you must order for the price to be the same is 5
How many pizzas must you order for the price to be the same?Bob's Pizza charges = $12 for each supreme pizza
This can be represented as
y = 12x
For Mike's Pizzeria, we have
y = 8x + 20
Substitute y = 12x in y = 8x + 20
12x = 8x + 20
Evaluate the like terms
4x = 20
Divide by 4
x = 5
Hence, the number of pizzas you must order for the price to be the same is 5
Read more about equations at:
https://brainly.com/question/13763238
#SPJ1
what is the radical expression that is equivalent 27 ⅕?
Answer:
[tex]\sqrt[5]{27}[/tex]
Step-by-step explanation:
27^(1/5) = [tex]\sqrt[5]{27}[/tex]
3. Based on the graph of the function y = g(x) shown below, answer the following questions.
y
(a) Evaluate g (-2), g(0), g (3) and g (7).
hogy
Joo 1 023
(b) What values of x solve the equation g(x)=0
(c) Graph the horizontal line y = 2 on the grid
above and label.
wirb
X
(d) How many values of x solve the equation
g(x)=2?
The values of x that solve the equation g(x) = 0 are x = -3, 1, 5 and 7 and there are four values of x that solve the equation g(x) = 2
How to answer the questions based on the graph of the function y = g(x) shown?The graph represents the given parameter
(a) Evaluate g (-2), g(0), g (3) and g (7)
To do this, we take the function value at the given value of x
The function g(-2) means
x = -2
So, we have
When x = -2, g(x) = -3
This means that g(-2) = -3
The function g(0) means
x = 0
So, we have
When x = 0, g(x) = -3
This means that g(0) = -3
The function g(3) means
x = 3
So, we have
When x = 3, g(x) = 4
This means that g(3) = 3
The function g(7) means
x = 7
So, we have
When x = 7, g(x) = 0
This means that g(7) = 0
(b) What values of x solve the equation g(x) = 0On the graph, we have the following values of x at g(x) = 0
x = -3, 1, 5 and 7
Hence, the values of x that solve the equation g(x) = 0 are x = -3, 1, 5 and 7
(c) Graph the horizontal line y = 2 on the grid above and label.See attachment
(d) How many values of x solve the equation g(x)=2Using the line in (c), the line crosses the curve four times at y = 2
Hence, there are four values of x that solve the equation g(x) = 2
Read more about functions at
https://brainly.com/question/1415456
#SPJ1
[tex](800)×(3×10 −1 )= ?[/tex]
The answer is 23200.
BODMAS is an acronym that stands for Bracket, Order, Division, Multiplication, Addition, Subtraction. In certain regions, a synonym for BODMAS is used: PEMDAS (parentheses, exponents, multiplication, division, addition, and subtraction). It describes the order of operations performed when solving an equation. According to the BODMAS rule, if an expression contains parentheses ((), {}, []), first break or simplify the parentheses, then "order" (meaning exponentiation, root, etc.), division, multiplication , addition and subtraction from the left.By using BODMAS , we will first simplify the bracket term.
The bracket term is [tex](3\times10-1)[/tex]
After , bracket we will operate the multiplication term which is given by
[tex]30-1[/tex]
Now , we will use the subtraction operation .
[tex]29[/tex]
On solving the bracket , we get 29 .
Now we will multiply 800 by 29 ,we get
[tex]800\times29=23200[/tex]
Learn more about BODMAS here :
#SPJ9
The complete question is mention below :
Solve [tex]800(3\times10-1)[/tex]
When you look at a pencil in water, it looks bent. This illusion is due to refraction, or the bending of light when it moves from one substance to the next.
b. What is m∠2? Classify this angle as acute, right, or obtuse.
The measure of angle 2 from the given figure is an acute angle.
Given that, when you look at a pencil in water, it looks bent. This illusion is due to refraction, or the bending of light when it moves from one substance to the next.
What is refraction?Refraction is the "bending" of light (or any electromagnetic wave) when entering a different medium.
In the given figure, the three angles, are angle 1, angle 2 and angle 3.
Angle 1 and 2 are formed with the surface of the water. Angle 1 in the medium air and angle 2 is in the medium water.
From the figure, given below we can see that angle 2 is less than 90° and greater than 0°.
Therefore, the measure of angle 2 from the given figure is an acute angle.
To learn more about an acute angle visit:
brainly.com/question/4022946.
#SPJ1
How much of the daily value must a snack meet in order for the fda to consider it a ""good source"" of nutrients? 10 percent to 19 percent 10 percent to 19 percent 25 percent to 35 percent 25 percent to 35 percent 30 percent to 40 percent 30 percent to 40 percent 50 percent to 59 percent
10 percent to 19 percent of daily value must a snack meet in order for the FDA to consider it a ""good source"" of nutrients.
The Food Manufacturer or Distributor is responsible for ensuring their food product labeling complies with FDA regulations. FDA will not review or approve food labels. If the labels do not comply with FDA requirements, the FDA will consider the product as misbranded and may take regulatory action, including detention.
LMG's Label review service will help you confirm your product labels comply with FDA requirements. We have designed three types of label review services; you can choose the best service which fits your products.
( Food Label Compliance : FDA , Food and Drug administration)
To know more about FDA ,
https://brainly.com/question/19891116?referrer=searchResults
Sean decides to start a small business creating and selling outdoor yard games. It will cost Sean $50 to make each game as well as an initial cost of $300 to purchase the needed equipment and supplies. He plans to sell each game for $85. The system of equations below models the cost and revenue for Sean's outdoor yard games where x represents the number of games and y represents the amount, in dollars.
The break even point obtained for the Sean's business is (60/7, 5100/7).
How to describe the linear equation in two variables?A linear equation in 2 variables is one that is written in the form ax + by + c = 0, where a, b, and c are real numbers and thus the coefficients of x and y, i.e. a and b, are not equal to zero. For example, 12x+8y = 9 and -x+8y = 3 are two-variable linear equations.Part of the question is missing where x denotes a number of games and y denotes the monetary value.
y = 50x + 300
y = 85x
Estimate Sean's business's break-even point.
Calculate the same break even point by following method;
The functions are as follows:
The functions are given as:
Cost: y = 50x + 300 ......equation 1
Revenue: y = 85x .......equation 2
For the value at break even point;
Cost = Revenue
Thus, equating 1 and 2.
85x = 50x + 300
simplifying;
35x = 300
Dividing both sides by 35
x = 60/7
Put x = 60/7 in equation 2
y = 85 × 60/7
y = 5100/7
Therefore, the break even point are obtained as (60/7, 5100/7).
To know more about the break even point, here
https://brainly.com/question/24233845
#SPJ9
The complete question is-
Sean decides to start a small business creating and selling outdoor yard games. It will cost Sean $50 to make each game as well as an initial cost
of $300 to purchase the needed equipment and supplies. He plans to sell each game for $85,
The system of equations below models the cost and revenue for Sean's outdoor yard games where x represents the number of games and y represents the amount, in dollars.
y = 50x + 300
y = 85
What is the missing product?
4 times 6 equals an empty box, shown horizontally.
Responses
10
12
24
46
Answer:
The answer is 24
Step-by-step explanation:
6×4 =24
We can also further simplify it by everything down.
we could use
(3×4) + (3×4)
12 + 12
=24
and we can do the same for
(6×2) + (6×2)
12 + 12
= 24
Hope this helps!
Answer:
4 · 6 = 24
➲ I hope this helps.
now examine |a + bi| and complete the definition below. the absolute value of any complex number a + bi is the from (a, b) to (0, 0) in the complex pl
According to the given statement the absolute value of just about any complex number Ia + biI seems to be the distance between (a, b) and (0, 0) in the complex plane is √(a² + b²).
What specifically is modulus?After dividing one number by another, the modulo operation yields the remainder or signed remainder of the division. A modulo n seems to be the remainder of something like the Euclidean division on a by n, where an is the dividend and n is the divisor, given two positive numbers a and n.
What is the purpose of modulus?The modulus operator can be used in a variety of situations. It is frequently used to decrease a randomly generated number to a randomly generated number in a smaller range, and it may also rapidly tell you if one integer is a factor of another.
According to the given information:The modulus of any complex number is its absolute value, regarding which there is a modulus formula. √(a² + b²).
where a and b are integers
Please see the attached file for the complex plane of the provided points (a,b) (0,0).
The separation of two points (x1 ,y1) and (x2 ,y2) will be:
√((x1 - y1)² + (x2 - y2)²)
We need to calculate the distance between (a,b) because (0,0)
We will obtain by replacing the numbers in the distance formula.
√((0 - a)² + (0 - b)²).
The given statement the absolute value of just about any complex number a + bi seems to be the distance between (a, b) and (0, 0) in the complex plane is √(a² + b²).
To know more about modulus visit:
https://brainly.com/question/14070556
#SPJ4
I understand that the question you are looking for is:
now examine |a + bi| and complete the definition below. the absolute value of any complex number a + bi is the from (a, b) to (0, 0) in the complex plane.
Answer: distance , positive real on edge
Step-by-step explanation:
Midpoint Find the midpoint of the line segment with the endpoints A and B. A(4,10); B(8,6) The midpoint of the line segment is. (Type an ordered pair.)
Answer:
Step-by-step explanation:
A(2,6); B(10,8)
whats the midpoint of the segment?
Bruce spent $30 on lunch. If he had $55 in his wallet, what percent of his money did he spend on lunch?
Answer:
your answer is 54%
need help solving this
If you can't answer this question
A rectangular garden has a length of 7 feet and a width of 6 feet what is the area of the garden
Answer:
42
Step-by-step explanation:
L*W= Area
7*6=42
Hope this helps! :)
if a+1=b+2=c+3=d+4=a+b+c+d+5 what is a+b+c+d
Please help?!?!?! Determine the length of BD, given by x in the figure. Give your answer to two decimal places.
Answer:
3.71
Step-by-step explanation:
AC² + BC² = AB²
3² + 6² = AB²
9 + 36 = AB²
AB = √45
AB = 3√5
AB = AD + BD
3√5 = 3 + BD
BD = 3√5 - 3
BD = 3.71
WILL MARK
PLEASE HURRYYY
What is the rate of change of the function?
-3
-1/3
1/3
3
Answer:
-1/3
Step-by-step explanation:
3. An electrician earns $24 an hour for a regular work week (40) hours. She earns time and a half for overtime. The weekly wage function is
(24h
0
w(h) = (36(h-40)+960 h> 40
How much will she earn if she works 38.5 hours this week?
0050
She will earn $924 if she works 38.5 hours this week
How much will she earn if she works 38.5 hours this week?The function is given as
w(h) = 24h, if h < 40
w(h) = (36(h-40)+960 h> 40
If she works 38.5 hours this week, then
h < 40
So, we use
w(h) = 24h
This gives
w(38.5) = 24 * 38.5
Evaluate
w(38.5) = 924
Hence, she will earn $924 if she works 38.5 hours this week
Read more about piecewise functions at:
https://brainly.com/question/18499561
#SPJ1
the number between -4/9 and -7/8
a) -5/-6
b) 5/-6
c) -5/6
d) 4/-6
Answer:
Just from looking at the distorted and wrong places to put the minus sign, the answer is option C.❌First option (A): there is no way a minus sign will be in the numerator and denominator, If so they would cancel out to be a positive number.
❌second option(B): there is no way a minus sign would stay in the denominator, it always stays in the numerator (even if it's in the denominator you take it up to the numerator).
❌ Fourth option (D): again no way a minus sign stays in the denominator so this option is wrong.
✅ Option (C): The minus sign is in the right place which is the numerator.
you see how I solved this problem without writing on paper or anything like that, sometimes you can find your answers by spotting abnormalities in the options you're given.
I believe this will definitely helpAce that testGood luck ✅If a population consists of 5,400,000 people and a census is taken, how many
people are sampled?
Answer: 54,000,000
Step-by-step explanation: hope this helps