Answer:
x = -4
Step-by-step explanation:
6 = -3(x + 2)
distribute the -3
6 = -3x - 6
add 6 to both sides
12 = -3x
divide by -3
-4 = x
Answer:
x=-4
Step-by-step explanation:
6=-3(x+2)
6=-3x-6
6+6=-3x
12=-3x
x=12/-3
x=-4
Please help with this math question!
Answer:
5. Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
A grasshopper sits on the first square of a 1×N board. He can jump over one or two squares and land on the next square. The grasshopper can jump forward or back but he must stay on the board. Find the least number n such that for any N ≥ n the grasshopper can land on each square exactly once.
Answer:
n=N-1
Step-by-step explanation:
You can start by imagining this scenario on a small scale, say 5 squares.
Assuming it starts on the first square, the grasshopper can cover the full 5 squares in 2 ways; either it can jump one square at a time, or it can jump all the way to the end and then backtrack. If it jumps one square at a time, it will take 4 hops to cover all 5 squares. If it jumps two squares at a time and then backtracks, it will take 2 jumps to cover the full 5 squares and then 2 to cover the 2 it missed, which is also 4. It will always be one less than the total amount of squares, since it begins on the first square and must touch the rest exactly once. Therefore, the smallest amount n is N-1. Hope this helps!
Answer:
n=N-1
Step-by-step explanation:
The lines shown below are parallel. If the
the slope of the red line?
green line has a slope of 5, what is
Step-by-step explanation:
if the lines are parallel that means they will never intersect to make sure that they never intersect two Parallel Lines always have the same slop.Answer: 5
Step-by-step explanation:
Which represents a linear function?
Answer:
(b) [the graph of a straight line]
Step-by-step explanation:
A function is linear if a constant change in input (x) produces a constant change in output (y). When written as a polynomial equation, the exponents of all of the variables must be exactly 1.
The answer choices can be considered as follows:
a) exponent of 2 indicates nonlinear
b) the graph is of a straight line, a linear function
c) exponents of 2 indicate nonlinear
d) x-changes are constant, but y-changes are not, indicating nonlinear
8) Find the perimeter of the rectangle below
16 cm
34 cm
Answer: 92 cm
Step-by-step explanation:
Your first step should be to solve for variables. Usually when finding unknown lengths or widths for perimeter, we use L & W to solve for length and width. You're already given 16 for the width of the rectangle. Perimeter: (L+L+W+W). Now we solve for length. Do 34 squared - 16 squared to get the missing length. 1156-256=900. Find the square root of 900 and now you have your length (30). Now you just add all the values up. 30+30+16+16=P. Therefore, the perimeter should equal 92. :)
What expression is equivalent to 1/3(4x + 9) + 5x?
Answer:
19/3x+3 or 6 1/3x+3
Step-by-step explanation:
lets simplify:
1/3(4x+9)+5x.
distribute 1/3 :
4/3x+3+5x
add x together:
4/3x+5x=19/3=6 1/3.
final answer:
19/3+3
Hi can anyone help me with this much appreciate j
For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :
Events Nearest thousand
Dart Domination cup : $169,000Boadicea's basketball league : $40,000The Rub-a-Dub Club Reggae band : $215,000Agent Green : $65,000Britney Pitchfork : $224,000Sunshine Droops : $111,000
As given in the question,
Rules to round of nearest thousand are:
Check the near by hundred digit :
If the hundred digit is 5 or more than 5 than round up that is write next digit. If the hundred digit is less than 5 than round down.Given is the actual ticket rates of the different events tickets sales ,round off to the nearest thousand is given by:
Events Nearest thousand
Dart Domination cup : $169,000Boadicea's basketball league : $40,000The Rub-a-Dub Club Reggae band : $215,000Agent Green : $65,000Britney Pitchfork : $224,000Sunshine Droops : $111,000
Therefore, For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :
Events Nearest thousand
Dart Domination cup : $169,000Boadicea's basketball league : $40,000The Rub-a-Dub Club Reggae band : $215,000Agent Green : $65,000Britney Pitchfork : $224,000Sunshine Droops : $111,000
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This site was openstudy back in the day right? Any oldies here
Answer:
me
Step-by-step explanation:
Answer:
probably
Step-by-step explanation:
...hope it helped
What postulate would justify the following statement?
If D is between A and B, than AD+DB=AB
Answer:
A, D and B must be in a straight line.
Step-by-step explanation:
If D is between A and B, than AD+DB=AB
This would mean A, D and B would be in a straight line.
An bus station has determined that the relationship between the number of passengers on a bus and the total weight of luggage stored in the baggage compartment can be estimated by the least squares regression equation y=118+14x. Predict the weight of luggage for a flight with 142 passengers.
Answer:
The weight of luggage for a flight with 142 passengers is 2,106
Step-by-step explanation:
The total weight of luggage stored in the baggage compartment can be estimated by the least squares regression equation:
y=118+14*x
where y is the total weight of luggage stored in the luggage compartment and x is the number of passengers on a bus.
If you want to predict the weight of luggage for a flight with 142 passengers, this means that x must have a value of 142. So, replacing in the expression:
y=118+14*142
you get:
y=118+1,988
y=2,106
The weight of luggage for a flight with 142 passengers is 2,106
In 2016, 6.76% (1,026) of Cincinnati college and university graduates majored in Registered Nursing. That combined statement provides both the percentage (6.76%) and the number (1,026) of Cincinnati college and university students who majored in Registered Nursing in 2016. Based on that statement, how many students graduated from Cincinnati universities and colleges altogether in 2016? Round to the nearest whole number.
The total number of students who graduated from the Cincinnati universities and colleges are 15382.
We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.
The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.
We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.
Let the total number of students be x.
ATQ:
6.67 % x = 1026
6.67 x = 102600
667 x = 10260000
x = 10260000 / 667
x = 15382.309
Rounding off to the nearest whole number is:
x = 15382.
Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.
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3 ratios that are equivalent to 6:12
Answer:
1:3
2:4
3:6
Step-by-step explanation:
we can divide both sides by 6 and get 1:2
we can divide both sides by 3 and get 2:4
we can divide both sides by 2 and get 3:6
Answer:
12:24, 3:6, 2:4
Step-by-step explanation:
What we are looking for here is a ratio that, when you divide/multiply the same constant on both parts of the ratio, you get 6:12.
6:12 is the same thing as 1:2, so we can find ratios equivalent to 1:2 (the first value will be half the second).
Hope this helped!
Last season Emily soccer team how to win loss ratio of 9 to 12 and Grant soccer team how to win loss ratio of 10 to 15 who’s team has a higher ratio of wins to losses use complete sentences to explain your reasoning
The Emily soccer team has the higher ratio of wins to losses.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that,
Ratio of win to loss of Emily soccer team = 9 : 12
Ratio of win to loss of Grant soccer team = 10 : 15
9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60
10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60
If 60 games are losses, then 45 games are wins for Emily soccer team.
If 60 games are losses, then 40 games are wins for Grant soccer team.
Higher ratio is for Emily soccer team.
Hence higher ratio of wins to losses is for Emily soccer team.
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simplify 0.36 bar +0.57 bar
Answer:
.36/(1 + .01) + .57/(1 - .01)
= .36/.99 + .57/.99 = .93/.99 = 93/99
= 31/33
Evaluate the numerical expression.
9 × [(25 − 6) − (6 + 5)]
Answer:
72
Step-by-step explanation:
9 * (19 - 11)
= 9 * 8 = 72
Two measurements are given. Find the absolute difference and then find the relative difference as a percentage. Assume that the first
quantity is the compared value and the second quantity is the reference value. Round answers to the nearest tenth if necessary.
The population density in country A is 113 people per square mile while in country B, it is 605 people per square mile.
Select one:
O a. Absolute difference: -492 people per square mile
Relative difference: -81.3%
O b. Absolute difference: 492 people per square mile
Relative difference: 435.4%
O c. Absolute difference: -492 people per square mile
Relative difference: -435.4%
O d. Absolute difference: -492 people per square mile
Relative difference: -8.1%
Answer: c
Step-by-step explanation:
The absolute difference is 492 people per square mile and Relative difference: 435.4%.
Thus, option (B) is correct.
To find the absolute difference between the two population densities, subtract the population density of country A from the population density of country B:
Absolute difference = Population density of country B - Population density of country A
= 605 people per square mile - 113 people per square mile
= 492 people per square mile
Now, the relative difference as a percentage, we use the formula:
Relative difference = (|Absolute difference| / Population density of country A) * 100
= (|492| / 113) * 100
= (492 / 113) * 100
= 4.35398230088 * 100
= 435.4%
Therefore, the absolute difference is 492 people per square mile
Relative difference: 435.4%
Thus, option (B) is correct.
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Linear sequence of 35/100,5/10,65/100
The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)
Finding the linear rule for the sequenceFrom the question, we have the following parameters that can be used in our computation:
35/100,5/10,65/100
In the above sequence, we can see that 15/100 is added to the previous term to get the new term
This means that
First term, a = 35/100
Common difference, d = 15/100
The nth term is then represented as
f(n) = a + (n - 1) * d
Substitute the known values in the above equation, so, we have the following representation
f(n) = 35/100 + 15/100(n - 1)
So, we have
f(n) = 7/20 + 3/20(n - 1)
Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)
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3 1/3 divided by 2/3 PLEASE HELP ME
Answer:
5
Step-by-step explanation:
Turn 3 1/3 into an improper fraction.
Multiply the denominator by the whole number.
9
Add the numerator.
10/3
Now we flip 2/3 to be 3/2
Multiply 10/3 by 3/2
30/6
Simplify.
5
Hope I helped :)
Please consider Brainliest :)
Answer:
5
Step-by-step explanation:
HELP ME ITS DUE TODAY!!!!! The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 9
2 1, 5, 9
3 0, 1, 2
4 6, 9
Key: 2|1 means 21
What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 32.
The range is the best measure of variability, and it equals 11.
The IQR is the best measure of variability, and it equals 11.
The range is the best measure of variability, and it equals 32.
Answer:
The answer to your problem is, D. The range is the best measure of variability, and it equals 32.
Step-by-step explanation:
We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 92 1, 5, 93 0, 1, 24 6, 9The key will equal 2|1 means 21
Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.
Quartile:
Quartile 1, Q1 = 21Quartile 2, Q2 = 29.5Quartile 3, Q3 = 32Third Quartile, Q3 = 32Median, Minimum, Maximum, & Range:
Median, Q2 = 29.5Minimum, Min = 17Maximum, Max = 49Range, R = 32Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.
A large toiletry distributor claims that 35% of all individuals who purchase toilet paper from the stores that carry its product choose original toilet paper, 28% choose sensitive toilet paper, 20% choose ultra-strong toilet paper, and 17% choose ultra-soft toilet paper. To investigate this claim, researchers collected data from a random sample of customers in a large city. The results were 170 packages of original, 105 sensitive, 80 ultra-strong, and 45 ultra-soft toilet paper purchases. Are the data from the sample consistent with the distributor's claim
p-value < 0.05, reject null hypothesis and we can conclude that data is not consistent with distributor's claim.
Given, data of toiletry distributors.
Total number of observations
= 170 + 105 + 80 + 45
= 400
Expected count = \(p_i \times 400\)
Calculation table is attached below.
Test statistic:
Chi square score
= 6.429 + 0.438 + 0.000 + 7.779
= 14.645
Degree of freedom:
df = 4-1
=3
p-value = CHIDIST(14.645,3)
= 0.00215
Therefore , p-value < 0.05
Reject null hypothesis and we can conclude that data is not consistent with distributor's claim.
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WILL MARK BRAINLIEST!!
In a baseball game, a batter standing at home plate sees the second baseman standing on the baseline between 1st and 2nd base as shown in the figure.
If θ=14∘, how far is the second baseman from second base?
Round to the nearest hundredth.
The distance to second base is approximately _________ feet.
The distance to second base is approximately 127.28 feet. Round to the nearest hundredth
How to determine the distance to second baseSince the angle is 45 degrees, the other side of the right triangle are equal, hence we have two sides of 90 ft to be used to find the hypotenuse
Using Pythagoras theorem given by the the formula
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let x be the required distance
x² = 90² + 90²
x² = 16200
x = √16200
x = 90√2
x = 127.28 ft (to the nearest hundredth)
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Identify the correct statement for the given figure.
Question 14 options:
A)
(5x)° + (2x + 7)° = 90°
B)
90° + (2x + 7)° = (5x)°
C)
(5x)° + (2x + 7)° = 180°
D)
(5x)° = (2x + 7)°
find the zeros of the function. State the multiplicity of multiple zeros.
y=7x^3-7x select the correct choice below and if necessary fill in the boxes within your choice.
1. The numbers _ are zeros of multiplicity 3
2. The numbers _ are zeros of multiplicity 2
3. The numbers _ are zeros of multiplicity 1
4. The numbers _ are zeros of multiplicity 1 and the numbers _ are zeros of multiplicity 2.
(picture added if needed :))
The numbers 0, 1, and -1 are zeros of multiplicity 1.
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.
To find the zeros of the function \(y=7x^3-7x\), we can set y equal to zero and solve for x:
\(7x^3 - 7x = 0\)
Factor out 7x:
\(7x(x^2 - 1) = 0\)
Factor the quadratic expression:
7x(x - 1)(x + 1) = 0
The zeros of the function are the values of x that make y equal to zero. From the factored expression, we see that the zeros are:
x = 0 (with multiplicity 1)
x = 1 (with multiplicity 1)
x = -1 (with multiplicity 1)
Therefore, the correct choice is: The numbers 0, 1, and -1 are zeros of multiplicity 1.
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Explain to me how does this formula work.
\({e}^{i\pi} + 1 = 0\)
The well-known equation e(i*pi) + 1 = 0 represents Euler's identity, where e is the Euler number, or roughly 2.71828, I is the imaginary number, or roughly i2 = -1, and pi is the ratio of a circle's circumference to its diameter, or nearly 3.14.
What is meant by diameter?A straight line that passes through the middle of a rounded object or form and ends at a point on the opposite edge: The diameter is twice as big as the radius. The pond has a six-foot diameter. the distance along a straight line that passes through the middle of a space or an object. the circumference of a circle. dug a hole that was almost four feet in diameter. The simplest place to start would be to take the ruler and measure the distance between the circle's outside edges starting from its very center. That would be the diameter. A circle's edge or length is known as its circumference.To learn more about diameter refer to:
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9. The Super Vision cable TV/Internet/phone provider advertises a flat $100 monthly fee for all
three services for a new customer. The rate is guaranteed for 5 years. Cable Zone normally
charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for
monthly cable television.
a. How much could a customer save during the first year by switching from Cable Zone to
Super Vision?
b. Super Vision raises the rates 23% after a new customer's first year, how much will a customer
who switched from Super Vision save in the second year?
c. If Super Vision raises the rates 18% for the third year compared to the second year, which
company is cheaper for the third year?
a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.
b. Super Vision raises the rates 23% after a new customer's first year, a customer who switched from Super Vision save $180 in the second year.
c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.
a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.
Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:
$46 (home phone) + $36 (Internet) + $56 (cable television) = $138
Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:
$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month
Therefore, during the first year, the customer could save:
$38 (monthly savings) * 12 (number of months) = $456
b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:
$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123
To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:
$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month
Therefore, in the second year, the customer would save:
$15 (monthly savings) * 12 (number of months) = $180
c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:
$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14
To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:
$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14
In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.
Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.
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Sally works as an estimator for G&J Electric. She has determined that 550 feet of electrical cable will be needed to wire a new house. Later, Sally is told that the homeowner has decide to cut back from a three-car garage to a two-car garage, which will eliminate two branch circuits, one of 23 feet and the other of 34 feet. How many feet of wire will be needed now?
Given :
Initial length of electric cable needed, \(L=550\ ft\).
Later, Sally is told that the homeowner has decide to cut back from a three-car garage to a two-car garage, which will eliminate two branch circuits, one of 23 feet and the other of 34 feet.
To Find :
How many feet of wire will be needed now.
Solution :
Wire needed is given by :
Required = Total wire - ( length of 1nd branch + length of 2nd branch )
Required = 550 - ( 23 + 34 )
Required = 550 - ( 57 ) ft
Required = 443 ft
Therefore, length of wire required is 443 ft.
Hence, this is the required solution.
The length of the electric wire needed is 443 feet.
What is an expression?Mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the initial length of electric cable needed is 550 feet. Later, Sally is told that the homeowner has decided to cut back from a three-car garage to a two-car garage, which will eliminate two branch circuits, one of 23 feet and the other of 34 feet.
The wire needed is given by :
Required = Total wire - ( length of 1st branch + length of 2nd branch )
Required = 550 - ( 23 + 34 )
Required = 550 - ( 57 ) ft
Required = 443 ft
Therefore, the length of wire required is 443 ft.
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The teachers are setting up a socially distanced summer retreat to discuss the 2021-
2022 school year. In order to rent the facilities there is a $1295 cost and then each
person will need to pay for own site for camping which is $45 for the weekend.
Mr. Jones would agree to organize the trip if he would have his costs paid for. How
many people would need to attend in order for the cost to be less than $60 per person? Please include a table, graph, and rule.
NO LINKS or anything like that, help ASAP.
9514 1404 393
Answer:
91, including Mr. Jones
Step-by-step explanation:
The total cost for n people to go on the trip will be ...
C(n) = 45n +1295
If Mr. Jones does not pay anything, this cost is divided among the remaining (n-1) persons, so the cost per person is ...
\(c(n)=\dfrac{C(n)}{n-1}\\\\c(n)=\dfrac{45(n-1)+45+1295}{n-1}=45+\dfrac{1340}{n-1}\)
We want to find n such that c(n) < 60.
\(45+\dfrac{1340}{n-1}<60\\\\\dfrac{1340}{n-1}<15\qquad\text{subtract 45}\\\\\dfrac{1340}{15}<n-1\qquad\text{multiply by $\dfrac{n-1}{15}$}\\\\90\dfrac{1}{3}<n\qquad\text{add 1}\)
A total of 91 people would need to attend in order for the cost per person to be less than $60.
A total of 96 pints of blood were collected at the blood drive. How many quarts were collected?
Answer: 48 qt
Step-by-step explanation:
The conversion factor between pints and quarts is two which means there are 2 pints in every quart. divide the number of pints by two to find the number of quarts.
96/2 = 48
EX: 24 pints = 12 quarts
24/2 =12
EX 8 quarts = 16 pints
The same rule works in reverse but instead of dividing you multiply.
8x2 = 16
Solve −3.5 =
x
4
for x using the multiplication property of equality.
The operation in the problem is
.
The inverse operation is
.
= x
Division
Multiplication
-14
Step-by-step explanation:
Answer:
Division
Multiplication
-14
Step-by-step explanation:
other person was corrrect
Please Help!!!!! I will give points! Also can you show the work please!! :D
Answer:
x = 132
Step-by-step explanation:
Angle S = 48 Angle T = 90 Angle W =
180 - 48 = 132
132 - 90 = 42
Angle W = 42
180 - 42 = 132
x = 132