lungimea unei gradini de 78 m iar perimetrul este de 256 m.Afla latimea gradinii
Find the function y1 of t which is the solution of 16y′′−81y=0 with initial conditions y1(0)=1,y′1(0)=0.
Solve for x. 3.3x = 29.04 A) 8.0 B) 8.2 C) 8.6 D) 8.8
plz put graph form
1) 2x - y = -13
y = x + 9
2)3x + 2y = 10
6x - y = 10
3)4x - 3y = 5
3x + 2y = -9
4)x + y = 7
x - y = -1
Brian spent 60% of a weeks time working on drawings for a new apartment building. If Brian spent 18 hours working on projects other than the apartment building, compute the total hours worked
John bought 12 books 2/3 of the books are science fiction how many of the books are science fiction
(4u)(5v^2)-2u+uv^2-4uv^2
Simplify: 4x + 4y + 4z A) 4 + xyz B) 4x3y3z3 C) 4xyz D) 4x + 4y + 4z
HELP ME PLZ I BEGG I GIVE BRAINLIEST
For what value of x:
is the square of the binomial x+1 twenty greater than the square of the binomial x–3?
Josie has $80. Addie has $60.
In how many months will they both have the same amount of money if Josie saves $30 per month and Addie saves $40?
sin(a)+sin(b)=sqrt(5/3) and cos(a)+cos(b)=1. Compute cos(a-b).
I drew out triangles and modeled the sines and cosines of a and b, but that doesnt help me find cos(a-b). What do I do?
your elapsed time is 9 and 3/4 and you finishrd at 6:00 pm. what ime did you start?
Clara's savings account has an APR of 10.95% calculates interest daily and pays interest at the end of the month if during the month of september her balance was $700 for the first 10 days of the month, $1900 for the next 10 days of the month, and $1400 for the last 10 days of the month, how much total interest did clara earn in september
A. $12.78
B. $11.20
C. $12.00
D. $11.30
Answer:
The correct option is C. $12.00
Step-by-step explanation:
Annual Principal Rate = 10.95%
= 0.1095
Time duration = 10 days
[tex]\text{Time duration in years =}\frac{10}{365}=0.027\:\:years[/tex]
First finding interest rate for $700
Interest = 700 × 0.1095 × 0.027
= $2.10
Now finding interest rate for $1900
Interest = 1900 × 0.1095 × 0.027
= $5.70
Then finding interest rate for $1400
Interest = 1400 × 0.1095 × 0.027
= $4.20
Total Interest paid = 2.10 + 5.70 + 4.20
= $12.00
Hence, The correct option is C. $12.00
144=8x what is the answer please help me
Simplify 3a • 3b ÷ 3c ÷ 3d. The exponent on 3 is _____.
The correct answer is 2.
To simplify the expression 3a • 3b ÷ 3c ÷ 3d, we need to apply the laws of exponents and combine the coefficients and variables.
Given expression: [tex]3a \cdot 3b \div 3c \div 3d[/tex]
[tex]\text{Step 1: Rewrite the expression using exponents}[/tex]
[tex](3^1 \cdot a) \cdot (3^1 \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]
[tex]\text{Step 2: Apply the laws of exponents for multiplication and division}[/tex]
[tex](3^1 \cdot 3^1 \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]
[tex]= (3^{1 + 1} \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]
[tex]= (3^2 \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]
[tex]\text{Step 3: Simplify the expression by combining the exponents and coefficients}[/tex]
[tex](3^2 \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]
[tex]= (3^2 \cdot a \cdot b) \div (3^{1 + 1} \cdot c \cdot d)[/tex]
[tex]= (3^2 \cdot a \cdot b) \div (3^2 \cdot c \cdot d)[/tex]
[tex]= \frac{a \cdot b}{c \cdot d}[/tex]
Therefore, the simplified expression is [tex]\frac{a \cdot b}{c \cdot d}[/tex], and the exponent on 3 is 2.
Judy built a rectangular patio that is 9 meters wide and has a perimeter of 40 meters what is the length of Judy’s patio
Final answer:
The length of Judy's rectangular patio is 11 meters, calculated using the perimeter formula for rectangles and the given width and perimeter measurements.
Explanation:
To find the length of Judy's patio, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Judy's patio has a known width of 9 meters and a perimeter of 40 meters. Substituting these values into the perimeter formula, we get:
40 = 2l + 2(9)
40 = 2l + 18
To solve for the length l, we first subtract 18 from both sides:
40 - 18 = 2l
22 = 2l
Now, we divide both sides by 2 to find the length:
22 / 2 = l
11 meters = l
Therefore, the length of Judy's patio is 11 meters.
A regular hexagon has a side of 18 cm, find the area of the regular polygon
in an election for sheriff 210 people voted if there where 1260 possible voters write a ratio to compare the number of people who voted to the numbernof possible voters
The ratio of the number of people who voted to the number of possible voters in the sheriff election is 1:6 after simplifying the original ratio of 210:1260.
Explanation:In an election for sheriff where there are 1260 possible voters and only 210 people voted, the ratio of the number of people who voted to the number of possible voters can be written as 210:1260. To simplify this ratio, you divide both numbers by the greatest common divisor, which in this case is 210. So, when you divide both 210 and 1260 by 210, the simplified ratio is 1:6. This means that for every one person who voted, there were six possible voters.
The number of people who voted is 210 and the number of possible voters is 1260. So the ratio is 210:1260. Simplifying this ratio by dividing both numbers by their greatest common divisor, which is 30, we get 7:42. Therefore, the ratio to compare the number of people who voted to the number of possible voters is 7:42.
Anita sees in her nutrition book that a 7.5-ounce cake has 900 calories how many calories will she save if only takes 2.5-ounce piece help please
Yesterday, the price of a gallon of gas at five gas stations was $3.64, $3.79, $3.70, $4.01, and $3.91, respectively, but today each gas station raised its price by $0.08. What is today's mean price of a gallon of gas at the five stations?
A. $3.81
B. $3.89
C. $3.73
D. $3.97
PLEASE BE CORRECT.
Option: B is the correct answer.
B. $ 3.89
Step-by-step explanation:The price of a gallon of gas at five gas stations is given by:
$3.64, $3.79, $3.70, $4.01, and $3.91
The mean of these data values is given by:
[tex]Mean=\dfrac{3.64+3.79+3.70+4.01+3.91}{5}\\\\\\Mean=\dfrac{19.05}{5}\\\\\\Mean=3.81[/tex]
We know that if each of the quantity of the data set is increased by a fixed amount then the mean of the data set also increases by that fixed amount.
As we are given that each gas station raised its price by $0.08.
This means that the mean is also increased by $ 0.08
i.e. Today's mean price of a gallon of gas at the five station is given by:
[tex]Mean=3.81+0.08\\\\\\Mean=3.89[/tex]
Hence today's mean is:
$ 3.89
change one letter in the word cave to solve it: A curved stick_______
By changing the 'v' in 'cave' to 'n', we solve the clue: A curved stick, given by the word 'cane'. Although a concave mirror was mentioned, it doesn't fit in this context.
Explanation:The question asks you to change one letter in the word 'cave' to solve the clue: A curved stick. If we change the letter 'v' in 'cave' to 'n', we get the word 'cane'. A cane is typically curved at the top, resembling a stick. Although the reference to a concave mirror is interesting, it does not fit in this context as a concave mirror is a spherical mirror with its reflecting surface on the inner side of the sphere, forming a 'cave' shape. A useful tip to remember for distinguishing between concave and convex is: concave means caved in.
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1 tin of 500ml blue paint costs $11.50. to finish a bedroom i need 4litre of blue paint. how much wi this cost me.
Ms. O bought 2 1/2 pounds of blueberries on Monday. She Gavs 1/4 of the blueberries to her students before school ended A. How many pounds of blueberries did she give to students on monday B.How many blueberroes were left? C. On Tuesday she ate 1/3 of the remaining blueberries. How many did she eat on Tuesday? D. Did Ms.O eat more blueberries on Monday or on Tuesday? Explain your reasoning
Find an explicit rule for the nth term of the sequence.
-5, -25, -125, -625, ...
Answer Choices
A) an = -5 • 5n
B) an = 5 • -5n + 1
C) an = 5 • -5n
D) an = -5 • 5n - 1
Final answer:
The explicit rule for the nth term of the sequence is an = -5 * 5ⁿ that is option A is correct.
Explanation:
The explicit rule for the nth term of the sequence is an = -5 * 5ⁿ
To find this rule, we notice that each term is 5 times the previous term but negative. So, the nth term can be represented as an = -5 * 5^(n-1), which simplifies to an = -5 * 5ⁿ.
Therefore, the correct answer choice is A) an = -5 * 5ⁿ.
Which is greater 770 meters or 7 kilometers
Felicia paid $2,879 for a new wall oven with her credit card. Felicia’s credit card has an APR of 13.89%, compounded monthly. It took Felicia seven years of identical monthly payments to pay for her oven, and she made no other purchases with her card until it was paid off. Over the ten years that she kept the oven, it used an average of $2.97 per week in electricity. Between the electricity and the interest, which component of the lifetime cost of the oven was greater, and how much greater was it? (Round all dollar values to the nearest cent.) a. The interest cost $94.12 more than the electricity. b. The interest cost $1,638.52 more than the electricity. c. The electricity cost $1,334.60 more than the interest. d. The electricity cost $463.32 more than the interest.
The lifetime cost of the oven shows that A. The interest cost $94.12 more than the electricity.
How to calculate the cost?From the given information, over ten years that she kept the oven, it used an average of $2.97 per week in electricity. This will be calculated as:
= 2.97 × (10 × 52)
= 2.97 × 520
= $1544.30
Then, using the interest, the computed value will be:
= [(53.78 × (12 × 7)] - 2879
= (53.78 × 84) - 2879
= 1638.52 - 1544.40
= $94.12
Therefore, the interest cost $94.12 more than the electricity.
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Yesenia took three tests in her accounting class. She scored 91 points on her first test and 73 points on her second test. If her average for the three tests is 79, what score did she get on her third test?
Let Yesenia's score in the third test be represented by the letter "x".
Now, we know that, by definition, the average in our case is the ratio of the sum of the points scored in the tests to the total number of tests taken.
We know that Yesenia scored 91 points on her first test and 73 points on her second test.We also know that Yesenia's average is 79. We have already assumed that she scored "x" in the third test. Thus, by definition of average, we get the following equation as:
[tex] 79=\frac{91+73+x}{3} [/tex]
Cross multiplication gives us:
[tex] 79\time 3=164+x [/tex]
Thus, [tex] x=237-164=73 [/tex]
Thus, Yesenia got a score of 73 in her third test.
13 is 20% of what number
can someone help me please
The first step to solve this problem is to compute first for the area of the bigger rectangle:
A = LW
A = 12m (10m)
A = 120 m^2
Next step is to find the area of the smaller rectangle:
A = LW
A = 7m (2m)
A = 14 m^2
The last step is to deduct the area of the smaller rectangle to the area of the larger rectangle:
Area of larger rectangle – Area of the smaller rectangle = Area of the shaded region
120 m^2 – 14 m^2 = 106 m^2
Therefore, the area of the shaded region is 106 square meters.
The school is having a bake sale and the math club is bringing cupcakes. They have 180 total cupcakes, both chocolate and strawberry. The number of chocolate cupcakes is eighteen more than twice the number of strawberry cupcakes. Which system of equations can be used to find the number of chocolate cupcakes, c, and the number of strawberry cupcakes, s? A. c + s = 180 s = 2c - 18 B. c + s = 180 c = 2s + 18 C. c - s = 180 s = 2c + 18 D. c = 2s c - 180 = s