Answer:
\(2x + 4x = 180 \\ 6x = 180 \\ x = 30 \\ 2x = y \\ y = 2 \times 30 = 60 \\ z = 4x = 4 \times 30 = 120\)
If pand q vary inversely and pis 28 when Q is 29. determine q when p is equal to 14.
9514 1404 393
Answer:
q = 58
Step-by-step explanation:
If the variation is inverse, when p is multiplied by 1/2, q will be multiplied by the inverse (reciprocal) of 1/2, which is 2/1 = 2.
When p = (1/2)(28), q = (2)(29) = 59
q = 58
f(x) = 2(x²-7)
Find f(2).
Twice the difference of a number and is 2equal to8 . Use the variable y for the unknown number.
The answer of the given question based on the equation is , the unknown number is 6.
What is Equation?An equation is the mathematical statement that asserts equality of the two expressions. It typically consists of the two expressions separated by equal sign " = ". The expressions can include variables, constants, and mathematical operations like addition, subtraction, multiplication, division, and exponentiation. Solving an equation involves finding the value(s) of the variable(s) that make the equation true.
The statement can be translated into an equation as follows:
2(y - 2) = 8
Simplifying the equation, we can distribute the 2 on the left-hand side:
2y - 4 = 8
Then, we can add 4 to both sides to isolate the variable:
2y = 12
Finally, we divide both sides by 2 to solve for y:
y = 6
Therefore, the unknown number is 6.
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What is the slope of the line below?
Answer:
The slope of the line is 1/2.
Solve these integration
Answer:
soryyy
kailangan ko ng poins
sorry kung ikaw ang napag tripan ko
What are the slope and y-intercept in the equation y = 7 + 5x + 2x + 4?
Answer: slope is 7 and y-intercept is 11
Step-by-step explanation:
y = 7 + 5x + 2x + 4
combine like terms
y = 11 + 7x
rearange
y = 7x + 11
slope is 7 and y-intercept is 11
\(\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}\)
What is the slope of the line y=7+5x+2x+4? What about the y-intercept?
\(\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}\)
First, we need to combine like terms:-
\(\Large\text{y=7+4+5x+2x}\)
\(\bigstar\) On simplification,
\(\Large\text{y=11+7x}\)
\(\bigstar\) We can rearrange the terms a little:-
\(\Large\textit{y=7x+11}\)
Now we can easily determine the slope and the y-intercept of the line.
Slope = number multiplied by x
y-intercept = a number added to or subtracted from x
Henceforth, we conclude that
\(\Large\text{Slope=7 \& y-intercept=11}\)
Good luck with your studies.#TogetherWeGoFar
\(\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}\)
How many solutions does this equation have?
–10k + 6 = –2k + 6 + 18k
Answer: 0
Step-by-step explanation:
-10k + 6 =-2k +6+18k
Combine like terms
-10k + 6 = 16k + 6
Rearrange the terms
=10k - 16k=6-6
Simplify
-10k - 16k = 0
Combine like terms
-26k = 0
Divide both sides
k= 0
What is the sum of the infinite geometric series?
Answer:
-6
Step-by-step explanation:
a1= -3
r= -(3/2)/-3 = 0.5
r>-3
s= a1/1-r
= -3/1-0.5
=-6
For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton how many parts must the factory produce so that there is1 ton of scrap aluminum for recycling
The factory must produce 6,400 parts so that there is 1 ton of scrap aluminum for recycling.
It is given that For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton we need to find how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling
What is a Ratio?
A quantitative relation between two amounts showing the number of times one value contains in another
1 part produced ⇒ 5 ounces scrap aluminium recycled.
So, the ratio of parts produced : Scrap of aluminium = 1 : 5 .... (a)
Let us assume for m parts produced , 1 ton of scrap is recycled.
Also, 1 ton = 2, 000 pounds
and 1 pound = 16 ounces
⇒ 1 ton = 2000 x (16 ounces) = 32,000 ounces
So, for m parts made in the factory, 32,000 ounces scrap is recycled.
So, the ratio of parts produced : Scrap of aluminium = m : 32,000 .... (b)
From both the given ratio, we get
1 : 5 = m : 32,000
m=32000/5
m=6400
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An occupational safety officer for a large company is conducting a study to investigate back problems in office workers who use a computer for most of the workday. The study will investigate the difference in back problems for workers who stand and workers who sit. A group of 68 volunteers have agreed to participate in the nine-month study. Half the group is randomly assigned to work while standing, and the other half is assigned to work while sitting. At the end of the study, the mean number of back problems between the two groups will be calculated. The officer will use the results to estimate the difference in the mean number of back problems between those who work while standing and those who work while sitting.
Which of the following is an appropriate inference procedure for the study?
A. A one-sample tt-interval for a population mean
B. A one-sample tt-interval for a sample mean
C. A matched pairs tt-interval for a mean difference
D. A two-sample tt-interval for a difference between sample means
E. A two-sample tt-interval for a difference between population means
Answer:
C. A matched pairs tt-interval for a mean difference
Step-by-step explanation:
When the observations from two samples are paired either naturally or by design we find the difference between the two observations of each pair. Treating the differences as a random sample from a normal population with mean ud= u1-u2 and unknown standard deviation , we perform one sample t- test on them . This is called paired difference or a paired or a matched t- test.
The test statistic
t= d`/sd/√n
where d`= ∑ di/n
and sd= ∑ (di- d`)²/n-1
with υ= n-1 degrees of freedom.
For example suppose 10 young recruits are given a strenuous physical training programme by Army. Their weights are recorded before they begin and after they complete they complete the training. The two observations obtained for each recruit. i.e. before and after measurements constitute natural pairing.
for each parallel lines. you are given the measure of one angle
Answer:
The question is not complete
Can you help me find the solution to this problem
2^2+2x-4=0
Answer:
2²+2x-4=o
4-4+2x=0
2x=0
x=0/2=0
Answer:
x=0
Step-by-step explanation:
Basically you’re using PEMDAS to solve this, and 0/2 is 0
(6x+31-9=0
3X+34-320
Answer:
X= - 154/3
Step-by-step explanation:
\(3/5 of 5/9\\\)
Answer:
⅓
Step-by-step explanation:\( \frac{5}{9} \times \frac{3}{5} \)
\( = \frac{1}{3} \times \frac{1}{1} \)
\( = \frac{1}{3} \)
Checking:\( \frac{1}{3} \div \frac{3}{5} \)
\( = \frac{1}{3} \times \frac{5}{3} \)
\( = \frac{5}{9} \)
#CarryOnLearning
Hey there!
When you see the word “of” in mathematical statement, it usually means “multiply” (aka Multiplication)
“3/5 of 5/9”
3/5 • 5/9
MULTIPLY the NUMERATORS (TOP NUMBERS) from each other & also MULTIPLY the DENOMINATORS (BOTTOM NUMBERS) from each other!
3(5) / 5(9)
3(5) = 15 ⬅️ NUMERATOR
5(9) = 45 ⬅️ DENOMINATOR
15/45
The GCF (Greatest Common Factor) for both of your numbers is: 15.. so DIVIDE both the NUMERATOR and DENOMINATOR from 15
15 ÷ 15 / 45 ÷ 15
15 ÷ 15 = 1 ⬅️ NUMERATOR
45 ÷ 15 = 3 ⬅️ DENOMINATOR
Answer: 1/3 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
5. Given the right triangle JKL, identify the locations of sides j, k, and I in relation to angle L
in terms of opposite, adjacent, and hypotenuse.
HELP
In relation to the angle L of the right triangle the sides are as follows:
l = opposite sidek = hypotenusej = adjacentHow to name the side of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sides of a right angle triangle can be named according to the position of the angles in the right angle triangle.
The sides of a right triangle can also be solved by using Pythagoras's theorem or trigonometric ratios.
Let's identify the sides j, k, and I in relation to angle L in terms of opposite, adjacent, and hypotenuse.
Therefore,
l = opposite sidek = hypotenusej = adjacentThe hypotenuse side is the longest side of a right triangle.
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how many hundred billions in the number 432,845,979,484
There are 4 hundred billions in the number 432,845,979,484.
To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.
The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.
Let's break down the number:
4 hundred billions (4 x 100,000,000,000)
3 ten billions (3 x 10,000,000,000)
2 billions (2 x 1,000,000,000)
8 hundred millions (8 x 100,000,000)
4 ten millions (4 x 10,000,000)
5 millions (5 x 1,000,000)
9 hundred thousands (9 x 100,000)
7 ten thousands (7 x 10,000)
9 thousands (9 x 1,000)
4 hundreds (4 x 100)
8 tens (8 x 10)
4 units (4 x 1)
As we can see, there are 4 hundred billions in the number 432,845,979,484.
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What is the discriminant of -x^2+2x+12=0
Answer: The solutions of the equation is [2+2⋅13−−√2;2−2⋅13−−√2]
Step-by-step explanation:
Derrick and Janis are planting
150 strawberry plants.
The first day, Derrick plants 20% of
the strawberry plants. Janis plants
60% of the strawberry plants.
Eliezer
How many strawberry plants do Derrick and Janis plant on the first day?
Choose one option from each drop-down menu to answer the question.
On the first day, Derrick plants Choose... strawberry plants.
Janis plants Choose... strawberry plants.
Together, they plant a total of Choose... strawberry plants.
X
Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.
To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.
Derrick planted 20% of the 150 strawberry plants:
20% of 150 = (20/100) * 150 = 30 strawberry plants.
Janis planted 60% of the 150 strawberry plants:
60% of 150 = (60/100) * 150 = 90 strawberry plants.
Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.
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simplify : 3ac + 5ab – 4ab + ac + 8bc
Answer:
4ac + ab + acb Dont mind this, i just need to have this 20 or more characters long: dhdudhsjsksksksjdhdhdjudjsjsjsjssjsjdudhd
S={(3,p),(3,0),(4,q),(1,4)}
Answer:
S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:
(3,p): The first element is 3 and the second element is p.
(3,0): The first element is 3 and the second element is 0.
(4,q): The first element is 4 and the second element is q.
(1,4): The first element is 1 and the second element is 4.
In a random sample of 1500 Arts majors who are graduating from the University of Western Cape this summer (2021), we observe that 1380 have already found a job.
What is the proportion of students that have already NOT found a job (rounded off to two decimals)? [3]
The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.
To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.
The total number of students who have not found a job would be 1500 - 1380 = 120.
To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:
The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.
Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.
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Why should I probably get my first credit card from the same institution that has my checking and/or savings account?Because building a relationship with a financial institution makes good OA sense You should not. You should get your first card at one of those really cool OB. student websites. A better idea is to pick your credit card company based on which gift I like Oc the best. OD Because local institutions offer better gifts
I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.
What is a credit card?The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.
However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.
Now, I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.
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How do you solve this?
The solution to the arithmetic progression is A = 94,188
What is Arithmetic Progression?An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the sum of the arithmetic sequence be represented as A
Now , the value of A is
Let the zeroth term of the series be a₀
when i = 0
∑i=0 ( 2i - 312 ) = 2 ( 0 ) - 312
a₀ = -312
Let the first term of the series be a₁
when i = 1
∑i=1 ( 2i - 312 ) = 2 ( 1 ) - 312
a₁ = 310
So , the common difference d of the series = first term - zeroth term = 2
The value of d = 2
The number of terms n = 500
Sum of n terms of the arithmetic sequence is
Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Substituting the values in the equation , we get
A = a₀ + ( 500/2 ) [ 2 ( -310 ) + ( 500 - 1 ) ( 2 ) ]
On simplifying the equation , we get
A = -312 + ( 250 ) [ ( -620 ) + 499 ( 2 ) ]
A = -312 + ( 250 ) [ ( -620 ) + ( 998 ) ]
A = -312 + ( 250 ) [ 378 ]
A = -312 + 94,500
A = 94,188
Hence , the sum of the arithmetic sequence is 94,188
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Mathematics
Find the rate
What percent of 200 is 50?
What percent of 50 is 40?
What percent of 10 is 6?
200 is what percent of 200?
What percent of 800 is 200?
Show your solution, HELP PLS ASAP!!!
I'LL GIVE 20 POINTS!!
Answer:
Step-by-step explanation:
25%
80%
60%
100%
25%
A box has 6 blue socks and 4 white socks. find the number of ways 2 socks can be drawn from the box where
a) There are no restriction
b) They are different colours
c) They are the same colours
The number of ways to draw the socks in each case is given as follows:
a) 90 ways.
b) 48 ways.
c) 42 ways.
What is the Fundamental Counting Theorem?The Fundamental Counting Theorem states that if there are m ways for one trial and n ways for another trial, then there are m x n ways in which the two trials can happen simultaneously.
This can be extended to more than two trials, where the number of ways in which all the trials can happen simultaneously is the product of the number of outcomes of each individual trial, according to the equation presented as follows:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
For item a, we have that there are no restrictions, hence there are 10 options for the first sock and 9 for the second, hence:
10 x 9 = 90.
For item b, we need one of each, hence the possible combinations are:
One of six(blue) and then one of four(white).One of four(white) and then one of six(blue).Hence:
6 x 4 + 4 x 6 = 48.
For item c, we can take 6 then five(two blue) or 4 then 3(two white), hence:
6 x 5 + 4 x 3 = 42.
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3(4.x – 5) - 4x +1= -6
please help I don’t really understand
Answer:
Your answer is that X=1
Answer:
The answer is 1.
Step-by-step explanation:
12x-15-4x+1 = -6
8x = 8
Therefore x = 1
Write the ordered pairs when rotated 180 clockwise around the origin A (2,-3) B (-4,6) C (-5, -7)
Answer:if I do ur work for u that means ain’t learning -55,2 s A2 bytes
Step-by-step explanation:
who would make the most money in one week? a sales manager work ing 35 hours $28.75x35= or a head mechanic working 25 hours, or an assistant mrchanic working 30 hours, or a front desk clerk working 40 hhours? Id like to see the problem worked in steps, please.
Answer: The sales manager, with weekly earnings of $1006.25.
Step-by-step explanation:
To determine who would make the most money in one week, we need to calculate the weekly earnings for each of the four positions.
Let's start with the sales manager, who works 35 hours at a rate of $28.75 per hour:
Weekly earnings for sales manager = 35 hours x $28.75 per hour = $1006.25
Next, let's consider the head mechanic, who works 25 hours. We'll need to know their hourly rate in order to calculate their weekly earnings:
Hourly rate for head mechanic = $35 per hour
Weekly earnings for head mechanic = 25 hours x $35 per hour = $875
Now, let's move on to the assistant mechanic, who works 30 hours:
Hourly rate for assistant mechanic = $20 per hour
Weekly earnings for assistant mechanic = 30 hours x $20 per hour = $600
Finally, let's consider the front desk clerk, who works 40 hours:
Hourly rate for front desk clerk = $15 per hour
Weekly earnings for front desk clerk = 40 hours x $15 per hour = $600
Therefore, the sales manager would make the most money in one week with weekly earnings of $1006.25.
Answer: Sales Manager
Step-by-step explanation:
Let's calculate the total pay for each worker:
Sales manager: $28.75 per hour x 35 hours = $1,006.25
Head mechanic: $32.50 per hour x 25 hours = $812.50
Assistant mechanic: $25.00 per hour x 30 hours = $750.00
Front desk clerk: $20.00 per hour x 40 hours = $800.00
What is -6x - 10(x - 4)
square root of 1089 by long division
Answer:
33 i think
Step-by-step explanation: