Answer:
x-y=6
4y+3x=4
Step-by-step explanation:
Find the value of x so that L||M
9514 1404 393
Answer:
x = 19
Step-by-step explanation:
The marked (consecutive interior) angles will be supplementary when the lines are parallel.
(3x +10)° +(5x +18)° = 180°
8x = 152 . . . . . . . . . . . . . . . divide by °, subtract 28
x = 19 . . . . . . . . . . . divide by 8
A square garden has a length of (x+3) ft and a width of (x+2) ft. what is the perimeter and area of the garden?
Answer:
Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet
Step-by-step explanation:
The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)
Compare. Select >, <, or = to make the sentence true.
8 meters 6,000 millimeters
Answer: 8,0000 meters
Step-by-step explanation: if im wrong let me know and i will fix it
Answer: your answer is the alligator facing the left/8 meters is more
Step-by-step explanation:
the reason for this is because 1 meter is 1,000 millimeters so if you have 8 meters, then you obviously 8,000 millimeters
hope this helps :)
please give brainliest if possible
how do you write a solution set when there are infinite solutions
Answer:
it depends
Step-by-step explanation:
sometimes a teacher will accept "there are infinite solutions" but if you cant you may need to do something else(this applies to basically everything)
for an example lets use x=1
(1,+infinity)
or
(1,-infinity)
(this is being graphed.) (this may not apply to everything)
i hope this helps
Can you guys help me out
Answer:
what grade are you in that requieres this type of math
Step-by-step explanation:
micheal is knitting a blanket. she can knit 6 rows per minute. which rate is equivalent to the rate at which micheal is knitting?
Answer:6 rows per minute
Step-by-step explanation:
Find the Discriminant and describe the solutions for given quadratic 3² – 2x +3=0
Answer:
Discriminant is 6.
Step-by-step explanation:
9-2x+3=0
-2x+9+3=0
-2x+12=0
-2x+12-12=0-12
-2x=-12
-2x/-2 = -12/-2
x=6
2. Which of the following gives a valid reason for using the given
solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation li: 2x + 3y = 2
a Elimination; a coefficient in Equation is an integer multiple of a coefficient
in Equation II.
b Elimination; a coefficient in Equation II is an integer multiple of
a coefficient in Equation 1
c Substitution; equation I can be solved for x in one step by dividing both
sides by 4
d Substitution; equation can be solved for x in one step by subtracting 3y
from both sides.
Answer:
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient
in Equation II.
Step-by-step explanation:
4 is a multiple of 2. Therefore, the answer would be A.
What is the minimum value of f(x) = x^2 + 6x + 4
Answer:
-5
Step-by-step explanation:
You want the minimum value of f(x) = x² +6x +4.
Line of symmetryThe line of symmetry of a quadratic function f(x) = ax² +bx +c is given by ...
x = -b/(2a)
The line of symmetry passes through the extreme point. When a > 0, that extreme point is the minimum.
Here, we have a=1, b=6, so the line of symmetry is ...
x = -6/(2·1) = -3
ExtremeThe extreme point (minimum) is ...
f(-3) = (-3)² +6(-3) +4 = (-3 +6)(-3) +4 = -9 +4
f(-3) = -5
The minimum value of f(x) is -5.
The factors of the polynomial are
A.(x + 1)(2+ix)(2-ix)
B.(x-1)(2+ix)(2-ix)
C.(x-1)[x-(3+1)][x-(4-1)]
D.(x+1)(x+(2+1)][x- (2-1)]
E.(x-1)[x+(2+1)][x- (2-1)]
Answer: c
Step-by-step explanation:
You and your friend's choice to take a bus back home, each 2 miles you have to pay 60 cents, write this in an Equation
Answer:
Step-by-step explanation:
Let x be the number of miles you and your friend travel.We know that the cost of the bus ride is 60 cents per mile, so the total cost of the trip is 60 * x.This can be written as an equation as follows:Cost = 60 * xOr, more simply:Cost = 60xThis equation represents the relationship between the number of miles you and your friend travel and the cost of the trip. As the number of miles increases, the cost of the trip also increases at a rate of 60 cents per mile.
can some please help with 11 !!!!
1 way ANOVA analysis was used to test the effectiveness of 3 kinds of headache medicines (Advil, Tylenol, and Excedrin). The analysis involved 21 people (7 per group), and used an alpha level of 0.01. What is the Critical Value
Answer:
The critical region is F >F ₀.₀₁ (2,18) = 6.01
Step-by-step explanation:
For 1 way ANOVA the degrees of freedom Between Samples would 2 and within Samples would be 18 .
Alpha is given to be = 0.01
v1 = k-1 and v2 = n-k
Where k is the number of rows and n is the total number of values
v1= 3-1= 2 and v2 = 21-3= 18
So if we look up the table we find the values of the critical region to be 6.01
Hence the critical region is less and equal to 6.01
The critical region is F >F ₀.₀₁ (2,18) = 6.01
PLEASE HELP
Divide. Write your answer using the smallest numbers possible. 47 pounds 13 ounces divided by 15 = ___pounds ___ounces
Answer:
3 pounds
51 ounces
Step-by-step explanation:
Sabas Company has 40,000 shares of $100 par, 1% preferred stock and 100,000 shares of $50 par common stock issued and outstanding. The following amounts were distributed as dividends: Year 1: $50,000 Year 2: 90,000 Year 3: 130,000 Determine the dividends per share for preferred and common stock for each year. If an answer is zero, enter '0'. Round all answers to two decimal places.
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.
Preferred Stock:
Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares
Year 1:
Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25
Year 2:
Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25
Year 3:
Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25
Common Stock:
Dividends per share of common stock = Total dividends for common stock / Number of common shares
Year 1:
Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0
Year 2:
Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0
Year 3:
Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
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3. Carissa is considering job offers from two companies. Company A offered her a starting salary of $45,000 with a $2100 raise at the end of each year. Company B offered her a starting salary of $45,000 with a 4.2% raise at the end of each year. Let f(t) represent Carissa's salary at Company At years after accepting a position at Company A, and let g(t) represent Carissa's salary at Company B t years after accepting a position at Company B. a. Find a function formula for f. b. Find a function formula for g. C. If Carissa was expecting to work for 5 years before going back to school, which company do you think she should work for? Use your functions to justify your answer. I d. If Carissa was expecting to work for 10 years before going back to school, which company do you think she should work for? Use your functions to justify your answer.
Let f(t) be 51000+ (2100)t which represent Chelsea's salary at Company A and g(t) be 45000(1.041)t which Chelsea salary at Company B.
Chelsea's offer from company A includes a raise of $2100 annually and a starting salary of $45,000.
Since the increase is constant, the salary of Chelsea from Company A is a linear function, as can be seen here.
f(t) is salary of chelsea from company A after t years.
f(t) = 45000+ (2100)t
The offer made to Chelsea by company B includes a starting salary of $45,000 and an annual raise of 4.1%.
we can see here that raise is exponential, so raise is:
(1+4.1/100) = (1+0.041) = (1.041) per year.
Consequently, the salary of Chelsea from Company B is a function that is exponential.
g(t) is salary of chelsea from company B after t years.
g(t) = 45000(1.041)t
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1. How many multiples of 5 are there in between 14 and 345?
Answer:
Step-by-step explanation:
66
Iodine-131 has a half-life of 8 days. How much would be left of an original 40 g sample after 40 days?
a) 32g
b) 8g
c) 131g
d) 1.25g
e) 0.8g
Answer:
d) 1.25 g
Step-by-step explanation:
If it has a half life of 40 days, there will be 5 half-lives in that span of time so if you divide 40 by 2, 5 times or just \(\frac{40}{2^{5} }\), it will equal 1.25.
\(\frac{40}{2}=20\\\)
\(\frac{20}{2} =10\)
\(\frac{10}{2} =5\)
\(\frac{5}{2} =2.5\\\)
\(\frac{2.5}{2} =1.25\)
Answer: 1.25g
Step-by-step explanation:
Got it rght on an assignment
An employee receives a 3% raise once per year. If the employee's initial salary is $65,800.00, what will the employee's salary be after 7 years?
Answer:
$79,618
Step-by-step explanation:
7 years x 3% = 21%
$65,800 x 21% = $13,818
$65,800 + $13, 818 = $79,618
Can someone help me on problem one and if you can and only if you want can you also help me on two btw please show work I will give branily crown thing.
Answer:
17/15 _53/6
Step-by-step explanation:
The other is problem 1 and the other is problem 2
PROBLEM #1:
As the problem is, we are adding a negative. I can change this to be a subtraction problem. It looks like this: \(2\frac{1}{3} - 1\frac{1}{5}\).
To be able to add or subtract fractions/mixed numbers, we have to first get common denominators. A common denominator is a shared multiple between two numbers. So, we need to find the smallest number that both 3 and 5 (the denominators of each fraction) can do into evenly. In this case, that number is 15! To transform the fractions to have common denominators, we will multiply 1/3 by 5/5 and 1/5 by 3/3 (multiply the top and bottom by 5 or 3 so that the denominator is 15). Here is our new problem: \(2\frac{5}{15} - 1\frac{3}{15}\).
All that's left to do now is subtract! Since our first fraction is larger (this is important!) we don't need to do any borrowing. So, we'll subtract 2 - 1 = 1, and 5/15 - 3/15 = 2/15. Therefore, if we put those pieces back together, we get 1 2/15 (\(1\frac{2}{15}\)).
PROBLEM #2:
For this problem, we have two negative mixed numbers. In this case, we will simply be adding the negative numbers because both are negative. For example, -2 + -4 = -6. Here is the rewritten problem: \(-3\frac{1}{2} + -5\frac{1}{3}\).
Our first step is to get common denominators. In this case, that common denominator will be 6: \(-3\frac{3}{6} + -5\frac{2}{6}\).
Now, we have to add! -3 + -5 = -8, -3/6 + -2/6 = -5/6. Once we've added the parts, we can put them back together to form the answer: -8 5/6 (\(-8\frac{5}{6}\)).
Hope this helps!! :)
The infant mortality rate (per 1,000 live births) for the 50 states and the District of Columbia has a mean of 6.98 and a standard deviation of 1.62. Assuming that the distribution is normal, what percentage of states have an infant mortality rate between 5.36 and 8.60 percent (per 1,000 live births)?
68% of states have an infant mortality rate between 5.36 and 8.60 percent.
What is the Empirical Rule?In statistics, the 68–95–99.7 rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within an interval estimate in a normal distribution: 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean, respectively.
In this problem, we have that:
Mean = 6.98Standard deviation = 1.62Assuming that the distribution is normal, what percentage of states have an infant mortality rate between 5.36 and 8.60 percent (per 1,000 live births)?
\(\sf 5.36 = 6.98 - 1\times1.62\)
So, 5.36 is one standard deviation below the mean.
\(\sf 8.60 = 6.98 + 1\times1.62\)
So 8.60 is one standard deviation above the mean.
Therefore, by the Empirical Rule, 68% of states have an infant mortality rate between 5.36 and 8.60 percent.
To know more about the Empirical Rule, refer to the link below.
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a game is played with a circular spinner that contains 7 different colors. the design of the spinner is the order in which the colors are arranged. how many ways can this spinner be designed
Answer:
This spinner can be designed in 5040 ways.
Step-by-step explanation:
Number of possible arrangements:
The number of possible arrangements of n elements is given by:
\(A_{n} = n!\)
In this question:
7 colors, so:
\(A_{7} = 7! = 5040\)
This spinner can be designed in 5040 ways.
Paulas cat weighs 8 5/8 pounds. Calebs cat weighs 11 1/8 pounds. What is the total weight of both cats?
Answer:
19 6/8 or 19 3/4
I’m not sure if you want the smallest possible fraction or not. If you don’t know just put the second one. K.
if the cost price of 18 cycles is equal to selling price of 16 cycles .find the gain or loss percentage
Answer:
Gain%=12.5%
Step-by-step explanation:
I ASSUMED COST PRICE=Rs.100
simplify: 5^2 x 5^4
A, 5^8
B. 5 x 8
C. 5^2
D. 5^6
Answer:
D. 5^6
Step-by-step explanation:
\(5^2*5^4\\5^2^+^4\\5^6\)
What’s the square root of √125
Answer: \(5\sqrt 5\)
Step-by-step explanation:
Sol \(\sqrt 125\) = \(\sqrt{25.5}\)
= \(\sqrt{25}\) x \(\sqrt{5}\)
\(5 \sqrt{5}\)
19) Find f + g if f(x) = 3x-2 and g(x) = 5x + 2.
A).9x
B).8x
C).5x+3
D).4x-6
Answer:
B
Step-by-step explanation:
Factor the expression.
g²r +
9²₂² - 6g²rs²t+
DONE
__jp²t)(
5422)
To factor the expression, we need to identify any common factors that can be pulled out of the terms.
The terms g²r and 9²₂² have a common factor of g². The terms 6g²rs²t and -6g²rs²t have a common factor of -6g²rs²t. The term 5422 does not have any factors in common with the other terms.
Therefore, the expression can be factored as:
(-6g²rs²t)(g²r + 9²₂²) + 5422
This is the fully factored form of the expression.
????
F(n)=n^2+1 g(n)=2n-5 find the value of (f-g) (2)
Answer:
Step-by-step explanation:
f(2) - g(2)
2^2 + 1 - 2(2) + 5
4 + 1 - 4 + 5
5 - 4 + 5
1 + 5 = 6
what is the slope of line t in the graph?
Answer:
Step-by-step explanation:
y2-y2/x2-x1