The solution is, the independent variable is number of stars, in the situation.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
from the given information, we get,
Points are a function of stars, so stars is the independent variable.
The variable that depends on that, the dependent variable, is points.
now, we have,
2400/6= 400
4000/10= 400
5200/13= 400
we get,
y=400x
Every star is 400 points and the independent variable is number of stars Brian picks up because the amount of points he gets is dependent on the number of stars he has.
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(4u)(5v^2)-2u+uv^2-4uv^2
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
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?
A regular hexagon has a side of 18 cm, find the area of the regular polygon
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.
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
number 248682 rounded off to the nearest hundred becomes what
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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Part A: What is the group of points labeled P called? What is the point labeled T called? Give a possible reason for the presence of point T.
Part B: Describe the association between students' test scores and the number of hours they exercise.
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.
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.
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.
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.
Find the function y1 of t which is the solution of 16y′′−81y=0 with initial conditions y1(0)=1,y′1(0)=0.
This figure consists of a rectangle and semicircle.
What is the perimeter of this figure?
Use 3.14 for pi.
19.42 cm
20.28 cm
23.42 cm
32.84 cm
Answer:
The perimeter of the figure is [tex]23.42\ cm[/tex]
Step-by-step explanation:
we know that
The perimeter of the figure is equal to the perimeter of the rectangle plus the circumference of a semicircle minus the length of [tex]6\ cm[/tex]
Step 1
Find the perimeter of rectangle
The perimeter of rectangle is equal to
[tex]P=2(L+W)[/tex]
In this problem we have
[tex]L=6\ cm[/tex]
[tex]W=4\ cm[/tex]
substitute
[tex]P=2(6+4)=20\ cm[/tex]
Step 2
Find the circumference of a semicircle
The circumference of a semicircle is equal to
[tex]C=\pi r[/tex]
we have
[tex]r=6/2=3\ cm[/tex] -----> the radius is half the diameter
substitute
[tex]C=3\pi\ cm[/tex]
Step 3
Find the perimeter of the figure
[tex]20\ cm+3\pi\ cm-6\ cm=(20+3.14*3-6)=23.42\ cm[/tex]
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
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.
144=8x what is the answer please help me
13 is 20% of what number
Simplify: 4x + 4y + 4z A) 4 + xyz B) 4x3y3z3 C) 4xyz D) 4x + 4y + 4z
What is the mean of the data set un the box below?
- 7,- 10,- 1,0,- 4,- 7,3,- 2,1
your elapsed time is 9 and 3/4 and you finishrd at 6:00 pm. what ime did you start?
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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Which of the following functions is quadratic? f(x)=3(x-4)(x+3), f(x)=5^2, f(x)=2/x, f(x)=2x^3+3x^2-5
Final answer:
The function f(x)=3(x-4)(x+3) is the only quadratic function provided in the options, as it can be expanded to a second-order polynomial form.
Explanation:
The student asks which of the given functions is quadratic. A quadratic function is a second-order polynomial with the highest exponent of the variable being 2. Given the options, the function f(x)=3(x-4)(x+3) is quadratic because it can be expanded to the form ax2 + bx + c, where a, b, and c are constants. The given function will simplify to a quadratic equation once we expand it. No other provided functions display the characteristics of a quadratic equation; f(x)=52 is a constant, f(x)=2/x is a rational function, and [tex]f(x)=2x^3+3x^2-5[/tex] is a cubic function.
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?
Solve for x. 3.3x = 29.04 A) 8.0 B) 8.2 C) 8.6 D) 8.8
Beulah took out a loan for $1225 at an 11.4% APR, compounded monthly, to buuy a foosball table. If she will make monthly payments of $101.75 to pay off tghe loan, how many total payments will she have to make?
Answer:
13
Step-by-step explanation:
APEX
subtracting unlike fractions 8/9 - 5/6
lungimea unei gradini de 78 m iar perimetrul este de 256 m.Afla latimea gradinii
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.