The table shows the number of points scored by a basketball team in their first seven games.
Answer:
15
Step-by-step explanation:
the range is the largest number take away the smallest number
56-41=15
Points R(-6,-5),S(-2,-5) and T(-2,n) are plotted in the coordinate plane. The distance between points R and S is half the distance between points S and T. The value of n could be blank or blank.
The square of the distance between two points is the sum of the squares of the difference between two coordinates. The value of n can be -13 or 3.
What is the distance between two points?The distance between two points is given by the formula,
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
As it is given that the distance between points R and S is half the distance between points S and T.
\(2(RS) = ST\)
Now, the distance between RS can be written as,
\(RS=\sqrt{[-6-(-2)]^2+[-5-(-5)]^2}\\RS = \sqrt{(-6+2)^2+(0)^2}\\RS = \sqrt{16}\\RS = \pm 4\)
Further, we can write,
\(2(RS) = ST\\\\2(\pm 4) = \sqrt{[-2-(-2)]^2+[-5-n]^2}\\\\\pm 8 = \sqrt{(0)^2+(-5-n)^2}\\\\\pm 8^2=(-5-n)^2\\\\\pm8=(-5-n)\\\\\)
When the value of 8 is positive,
\(+8+5=-n\\\\13=-n\\\\n=-13\)
When the value of 8 is negative,
\(-8+5=-n\\\\-3=-n\\\\n=3\)
Hence, the value of n can be -13 or 3.
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can someone help me plssssssssssssssssssss
Answer:
Both pass there all higher the 50%
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x) =
1
8
(7x − 2), x ≤ 3
absolute maximum value
Absolute maximum value: 19/8
Absolute minimum value: -1/4
A more detailed explanation of the answer.
To find the absolute and local maximum and minimum values of f, we'll first sketch the graph of the function f(x) and then analyze the graph.
f(x) = 1/8(7x - 2), x ≤ 3
Step 1: Sketch the graph.
Since the function is linear, we only need two points to sketch the graph. Let's choose x = 0 and x = 3.
For x = 0:
f(0) = 1/8(7(0) - 2) = -1/4
For x = 3:
f(3) = 1/8(7(3) - 2) = 1/8(19) = 19/8
Now, we have two points (0, -1/4) and (3, 19/8). Draw a line connecting these two points. The graph is a straight line with a slope greater than 0, meaning the function is increasing as x increases.
Step 2: Analyze the graph to find the maximum and minimum values.
Since the function is increasing as x increases, the local minimum value occurs at x = 0 and is equal to -1/4. As x approaches the limit of the domain, x = 3, the function reaches its local maximum value of 19/8.
Since the domain is restricted to x ≤ 3, there are no other possible local or absolute maximum and minimum values.
So, the absolute maximum value is 19/8 and the absolute minimum value is -1/4.
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NEEP HELP ASAP LAST DAY OF SCHOOL PLS SHOW YOUR WORK
A rectangular field is 80 meters wide and 120 meters long. Give the length and width of another rectangular field that has the same perimeter but a larger area.
Width= ----- Meters
Length= ------ Meters
The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.
To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:
1. Calculate the perimeter of the given rectangular field:
Perimeter = 2 * (Length + Width)
= 2 * (120 meters + 80 meters)
= 2 * 200 meters
= 400 meters
2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:
Side length = Perimeter / 2
= 400 meters / 2
= 200 meters
3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.
4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:
Width = Perimeter / 2 - Length
= 400 meters / 2 - 200 meters
= 200 meters - 200 meters
= 0 meters
5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.
In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.
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4x – 3 < -2/3x + 3
Answer:
x=9/7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is?
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.
What are scatterplots?A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.
Scatter plot for the positive correlationScatter plot for negative correlationScatter plot for null correlationA weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.
Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
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1= 452 = 6x + 153= 2x + 5
Answer:
Your answer is 8x+607
Step-by-step explanation:
wat is da closest answer to 3723.4 divided by 27.1
1.3739
13.739
137.39
1373.9
Answer:
It’s 137.39
Step-by-step explanation:
What is the slope of the line represented by the equation y = y equals 4 Over 5 x minus 3.x – 3?
Answer:
\(slope=\frac{4}{5}\)
Step-by-step explanation:
\(y=\frac{4}{5} x-3\)
This is written in slope-intercept form:
\(y=mx+b\)
m is the slope and b is the y-intercept. x and y are the corresponding points (x,y).
Therefore, the slope is \(\frac{4}{5}\).
:Done
55% of the cookies joel baked had chocolate chips. If joel baked 77 cookies with chocolate chips, how many total cookies did he bake?
Emily is creating an obstacle course. One section of the course will have a 12 foot ladder leaning against a 10 footwall. How far from the wall should the bottom of the ladder be placed so that the ladder will reach the top of thewall? Round to the nearest tenth of a foot.
ANSWER
6.6 ft
EXPLANATION
The section of the course will contain a 12 foot ladder leaning against a 10 foot wall.
Let us draw a diagram of the situation:
This situation forms the shape of a Right Angle Triangle.
x represents the distance of the bottom of the ladder from the wall.
We can find the value of x by using Pythagoras rule:
\(\text{hyp}^2=opp^2+adj^2\)From the question:
hyp = 12 ft
opp = 10 ft
adj = x ft
So, we have that:
\(\begin{gathered} 12^2=10^2+x^2 \\ \Rightarrow144-100=x^2 \\ x^2=44^2 \\ x\text{ = }\sqrt[]{44} \\ x\text{ = 6.6 ft} \end{gathered}\)The wall should be 6.6 ft from the bottom of the ladder.
Plz help! 20 points, correct answer will be marked brainliest :)
Miguel made 6 bracelets each day to sell at a craft fair. The function f gives the total number of bracelets Miguel made in x days. Which of the following could define f ?
Answer:
D) f(x) = 6x
Step-by-step explanation:
7. (3y2 – 4y + 1) + (-y2 + y - 2)
Answer:
2y2−3y−1
Step-by-step explanation:
hope this helps
What is 13.5 rounded to the nearest whole
number?
The nearest whole number after rounding is, 14
What is Rounding of a number ?Rounding a number to the nearest tenth means finding the nearest multiple of 0.1.
To do this, you need to look at the digit in the hundredths place (the second digit after the decimal point) of the number you want to round.
If that digit is 5 or greater, you round the number up by adding 0.1 to the nearest whole number.
If that digit is 4 or less, you round the number down by leaving the nearest whole number unchanged.
For example, rounding 3.456 to the nearest tenth gives 3.5, while rounding 3.444 to the nearest tenth gives 3.4.
Given that,
The decimal number 13.5,
after using rules of rounding,
it can be rounded as 14
Hence, the nearest whole number is 14
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A manufacturer wants to build a rectangular stainless steel tank with a holding capacity of 670 gallons, or about 89.58 cubic feet. The tank's walls will be one half inch thick, and about 6.42 cubic feet of steel will be used for the tank. The manufacturer wants the outer dimensions of the tank to be related as follows:
The width should be 2 feet less than the length.
The height should be 8 feet more than the length. What should the outer dimensions of the tank be?
The rectangular stainless steel tank should have outer dimensions of approximately 4.87 feet in length, 2.87 feet in width, and 12.87 feet in height to meet the given constraints.
To determine the outer dimensions of the tank, we'll need to find the length, width, and height of the tank based on the given constraints.
Let's assume:
Length of the tank = L (in feet)
Width of the tank = L - 2 (as the width should be 2 feet less than the length)
Height of the tank = L + 8 (as the height should be 8 feet more than the length)
The volume of the tank can be calculated as follows:
Volume = Length * Width * Height
Given that the volume should be 89.58 cubic feet, we have the equation:
89.58 = L * (L - 2) * (L + 8)
Simplifying the equation:
89.58 = L * (L^2 + 6L - 16)
Expanding the equation:
89.58 = L^3 + 6L^2 - 16L
Now, let's solve this equation to find the value of L (length).
Since this is a cubic equation, we'll need to use numerical methods or a calculator to find the value of L. Using a numerical solver, the value of L is approximately 4.87 feet.
Now that we have the length, we can calculate the width and height:
Width = L - 2 ≈ 4.87 - 2 ≈ 2.87 feet
Height = L + 8 ≈ 4.87 + 8 ≈ 12.87 feet
Therefore, the outer dimensions of the tank should be approximately:
Length: 4.87 feet
Width: 2.87 feet
Height: 12.87 feet
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Jeremy can buy two tacos at 75 cents each and a medium drink for $1.00—or a "value meal" with three tacos and a medium drink for $3. For him, the marginal cost of the third taco would be?
A. 0
B. $0.75
C. $1.00
D. $0.50
Answer: To determine the marginal cost of the third taco for Jeremy, we need to compare the cost of buying it individually to the cost of buying it as part of the value meal.
Buying two tacos individually:
Cost of two tacos: 2 tacos * $0.75/taco = $1.50Buying the value meal with three tacos:
Cost of the value meal: $3.00To calculate the marginal cost, we subtract the cost of buying the value meal from the cost of buying two tacos individually:
Marginal cost = Cost of buying two tacos individually - Cost of the value mealMarginal cost = $1.50 - $3.00Marginal cost = -$1.50
The negative value indicates that buying the value meal is more cost-effective than buying the third taco individually. Therefore, the marginal cost of the third taco for Jeremy would be $0 (option A).
HEY LOOK HERE I NEED YOU TOO CHECK IF THIS IS CORRECT!
Answer:its correct
Step-by-step explanation:
f(x)=5sinx+cosx then f ′
(x)=−5cosx−sinx Select one: True False
False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.
To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).
Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.
Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:
f'(x) = 5cos(x) - sin(x).
This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).
In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).
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Paige works at a department store and has a commission rate of 3 percent. Her sales for the quarter were $4,596. If she earns $50 per day and she worked 30 days in the quarter, what is the total amount she earned?
$137.88
$450.00
$1,500.00
$1,637.88
Answer:
D. $1,637.88
Step-by-step explanation:
On Edge2020
which of the following is a decreasing exponential function whose y-intercept is 20
Answer:
Step-by-step explanation:The exponential function that is decreasing and has a y-intercept of 20 is:
f(x) = 20 * e^(-kx)
In this equation, "e" represents the base of the natural logarithm (approximately 2.71828), "k" is a positive constant that determines the rate of decrease, and "x" is the input variable.
The exponential function decreases as "x" increases because the exponent is negative. The coefficient "k" controls the rate of decrease. A larger value of "k" leads to a faster decrease.
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Use the distributive property to
expand the expression below.
6(2a – 3) = [?]a - [ ]
Answer:
12a - 18
Step-by-step explanation:
6 x 2 = 12 (then add the "a" = 12a
6 x 3 = 18
put the minus in the middle then get
12a- 18
Desperately need help
The values of A, B and C that would complete the table is 0, -3 and -7 respectively.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation y = -2x - 3. Using the table of values:
When x = -1; y = -2(-1) - 3 = 0
When x = 0; y = -2(0) - 3 = -3
When x = 2; y = -2(2) - 3 = -7
The values of A, B and C that would complete the table is 0, -3 and -7 respectively.
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120 to 150 find the percentage of increase
Answer:
25%
Step-by-step explanation:
increase by = 150 - 120
=30
increase percent = 30/120 * 100%
=3000/120
=25 %
Answer:
25%
Step-by-step explanation:
Percentage increase=(new value-original value)/(original value) x 100%
Percentage increase=(150-120)/120 x 100%
Percentage increase=30/120 x 100%
Percentage increase=1/4 x 100%
Percentage increase=25%
The yearly compound interest on sum of money in one and two years are RS 1800 and RS 3816 respectively. calculate the rate of compound interest and the principal.
Answer:
The rate of interest is 12 %.
Step-by-step explanation:
The yearly compound interest on sum of money in one and two years are RS 1800 and RS 3816 respectively.
\(1800 = P\left ( 1+\frac{r}{100} \right )- P.... (1)\\\\3816 = P\left ( 1+\frac{r}{100} \right )^2- P.... (2)\\\\Divide (2) by (1)\\\\\frac{3816}{1800}=\frac{\left ( 1+\frac{r}{100} \right )^2-1}{\left ( 1+\frac{r}{100} \right )-1}\\\\38.16 r = 1800 (1 +0.0001 r^2 + 0.02r -1)\\\\r = 0.12 =12 percent\)
(06.02 mc) jake has a bag of 50 beads, some of which are blue and the remaining are green. jake randomly pulls out a bead from the bag, records the color, and replaces it in the bag. jake has already recorded 16 blue and 4 green beads. based on these results, what is most likely the number of blue beads in the bag?
The required number of breads based on given data in the question is 40
How is probability works?
Probability is defined as the getting an random event out of total number of events.simply, it is the ratio of number of favorable outcomes to total number of outcomes.
According to given data:We have given total number of breads are 50
It is said that jake has already recorded 16 blue and 4 green beads based on the result, take randomly pulls out a bead from the bag, records the color, and replaces it in the bag
Total recorded breads = 16 + 4 = 20
And, recorded blue breads = 16
probability = 16/20 = 0.8
Now number of blue breads = 50×0.8 = 40 breads.
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Evaluate the integral. (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) / 6 15t Jo 11+ t2' 1+ t2
This is the exact answer in symbolic notation and fractions .The integral of (6/((11+t^2)(1+t^2))) dt is a bit complicated and requires partial fraction decomposition.
We can factor the denominator:
11 + t^2 = (11 - i^2)(1 + t^2/(11-i^2)) = 10(1 + t^2/10) + i^2(1 - t^2/11)
1 + t^2 = (1 + i^2)(1 + t^2/(1+i^2))
So we have:
6/((11+t^2)(1+t^2)) = A/(10(1 + t^2/10) + i^2(1 - t^2/11)) + B/(1 + i^2)(1 + t^2/(1+i^2))
6 = A(1 + i^2)(11)(1) + B(10)(11)(1)
The first integral can be evaluated using the substitution u = (10/11)t and then the identity 1 + tan^2(x) = sec^2(x) for the denominator. We get:
-3/(11+10i) * arctan(t/√(110)) + 3/(110 + 11i) * arctan(t/√2)
Evaluating from 0 to 15, we get:
-3/(11+10i) * arctan(15/√(110)) + 3/(110 + 11i) * arctan(15/√2)
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Question 2 of 5
Which inequality is true if x = 18?
O A. 25 – x> 8
OB. 0.5x< 7
O C. 6 > 2
OD. I <3
Answer:
C
Step-by-step explanation:
A
25 - x > 8 ( substitute x = 18 )
25 - 18 > 8
7 > 8 ← False statement
B
0.5x < 7 ( substitute x = 18 )
0.5 × 18 < 7
9 < 7 ← False statement
C
\(\frac{x}{6}\) > 2 ( substitute x = 18 )
\(\frac{18}{6}\) > 2
3 > 2 ← True statement
D
\(\frac{x}{4}\) < 3 ( substitute x = 18 )
\(\frac{18}{4}\) < 3
4.5 < 3 ← False statement
The only inequality which is true is C
The inequality x/6 >2 is true for the solution x equals to 18. Therefore, the correct answer is option C.
Given that, x=18.
A) 25-x>8
Substitute x=18 in the given inequality, we get
25-18>8
7>8
Which is not true.
B) 0.5x<7
Substitute x=18 in the given inequality, we get
0.5×18<7
9<7
Which is not true.
C) x/6 >2
Substitute x=18 in the given inequality, we get
18/6 >2
3>2
Which is true.
D) x/4 <3
Substitute x=18 in the given inequality, we get
18/4 <3
4.5<3
Which is not true.
Therefore, the correct answer is option C.
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The law of large numbers states that as the number of observations drawn at random from a population with finite mean μ increases, the mean of the observed values.
The mean of a observed values approaches the population mean more and more as the number of data points gathered rises.
Define the term population mean?The average calculated from the group members, distribution, or population is known as the population mean.
It is calculated by dividing the sum of all different variables through the total population of variables. The population mean is shown here as. The population's observations are added together to form X. There are 2 distinct averages in statistics: Only a few observations—selected from the population data—are taken into account for calculating the sample mean. On the other hand, the population mean computes the average value by taking into account all of the population's observations.Thus, choose a population with a finite mean and a random sample of observations. The mean of a observed values approaches the population mean to a greater extent as the number of data gathered rises.
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Graph the image of rectangle CDEF after a reflection over the line y=x
To find a he correct points, I counted the units each point was from the line of reflection. The. I took that same number of points and did it to find the new point. D’ is at (5,2) E’ is at (10,2) F’ is at (10,-5) And C’ is at (5,-5)