Answer:
-11 is greater than -3, so it was colder in Milwaukee.
Step-by-step explanation:
-11 is greater than -3, so it was colder in Milwaukee. because -11 is less than -3 because it is more to the left which makes it less
What are the constant of proportionality on these two?
Answer:
k = y/x
as a fraction for both
- Identify the outlier in the data set {12, 15, 20,
44, 18, 20}, and determine how the outlier
affects the mean, median, mode, and range of
the data.
The outlier in the data set {12, 15, 20, 44, 18, 20} is 44. It significantly increases the mean and range of the data set, but the median and mode are less affected. The outlier highlights sampling variability and induced variability.
The student has asked to identify the outlier in the data set {12, 15, 20, 44, 18, 20} and assess how it affects the mean, median, mode, and range of the data. Considering the provided data, it's apparent that the number 44 is the outlier since it is significantly higher than the rest of the numbers in the set. To confirm, we can calculate the interquartile range (IQR) and use it to detect outliers, but since the data set is small, a visual inspection is sufficient.
Without the outlier (44), the data set is {12, 15, 18, 20, 20}. The mean (or average) is calculated by adding all the numbers and dividing by the count of numbers, which results in a mean of (12 + 15 + 18 + 20 + 20) / 5 = 17. The median, which is the middle number when the data is sorted, is 18. The mode, the number that appears most often, is 20 in this case. As for the range, which is the difference between the largest and smallest number, it's 20 - 12 = 8.
With the outlier included, the mean becomes (12 + 15 + 18 + 20 + 20 + 44) / 6 = 21.5, the median remains 18, the mode is still 20, and the range expands to 44 - 12 = 32. Clearly, the outlier has a significant effect on the mean and range, causing them to increase, while the median and mode are less impacted due to their nature of being more resistant to extreme values. The presence of an outlier shows some degree of sampling variability and may introduce induced variability in the analysis of data.
Calculate the area of the shaded region
Answer:
48π or 150.72
Step-by-step explanation:
The radius of the big circle is 8.
We can use that to find the area of the big circle.
Area is πr^2
π(8)^2
64π
Now, we can find the area of the small circle.
The diameter of that is 8, meaning the radius is 4.
πr^2
π(4)^2
16π
Now we subtract the area of the small circle from the area of the big circle to get the area of the shaded region.
64π-16π=48π
As a decimal: 48*3.14=150.72
Ice cream sandwiches are wrapped in white paper before they are put in a box to be sold. How many ice cream sandwiches can be wrapped with 500 square inches of paper?
Drag and drop the answer in the box to correctly complete the sentence.
A probability Response area indicates a chance event is most likely to occur.
answer: close to 0 close to 1 of 10 close over 100 reward: five points and cashapp:5$
A probability close to 1 indicates a chance event is very likely to occur. The probability of such an occurrence is a number. The correct option is option A.
What is probability?The probability of such an occurrence is a number used in science to describe how likely it is that the event will take place. In terms of percentage notation, it really is represented by a value between 0 and 1, or between 0% and 100%.
The odds of two complementing events A and B happening, either A happens or B happens, sum up to 1. outcomes are complimentary, the likelihood of "heads" is equal to the likelihood of "tails," and the likelihood of any one of the two possible outcomes is equal to half. A probability close to 1 indicates a chance event is very likely to occur.
Therefore, a probability close to 1 indicates a chance event is very likely to occur. The correct option is option A.
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To make fruit punch, Tyrone needs 3 3/8 quarts of orange juice and 3 3/4 quarts of cranberry juice.
How many quarts of juice does he need in all?
Please help me! It would be very much appreciated
Answer:
Answer is x = 100 degrees.
Step-by-step explanation:
Vertically opposite angles are equal.
Then value of x is 100 degrees.
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Step-by-step explanation:
[tex]x = 100 \: \: degrees[/tex]
(vertically opposite angles)hope this helps
brainliest appreciated
good luck! have a nice day!
Philip shoots an arrow from the top of a hill into the ground. the flight of the arrow can be modeled with the quadratic function y=-5x^2+15x+90, where y represents the vertical height of the arrow, in meters, and x represents the time, in seconds. use factoring to find the positive zero of the function. what does this zero represent? then find the maximum value of the function by completing the square. what does the maximum value represent? explain each step in your answer.
Answer:
(a)Time taken to reach the ground, x=6 seconds
(b)Maximum height of the arrow during its flight =101.25 feet
Step-by-step explanation:
Given the quadratic function which models the flight of the arrow:
[tex]y=-5x^2+15x+90[/tex]
Where:
y represents the vertical height of the arrow, in meters; and x represents the time, in seconds.(a)Positive Zero
[tex]-5x^2+15x+90=0\\-5(x^2-3x-18)=0\\-5(x^2-6x+3x-18)=0\\-5(x(x-6)+3(x-6))=0\\-5(x+3)(x-6)=0\\x+3=0\:or\:x-6=0\\x=-3,x=6[/tex]
In 6 seconds, the arrow will hit the horizontal plane, i.e. the ground.
(b)
[tex]y=-5x^2+15x+90\\y-90=-5(x^2-3x)\\y-90-5(\frac{9}{4}) =-5(x^2-3x+(\frac{3}{2} )^2)\\y-101.25=-5(x-\frac{3}{2} )^2\\y=-5(x-\frac{3}{2} )^2+101.25[/tex]
Comparing with the vertex form:
[tex]y=a(x-h)^2+k[/tex]
Our vertex, (h,k)=(1.5, 101.25)
Maximum Value of y=101.25
The maximum value of y represents the maximum height of the arrow during its flight, which is 101.25 feet.
A triangle is reduced. A triangle has a base of 16 inches, a height of 12 inches, and a side length of 20 inches. A smaller triangle has a base of 12 inches, a height of 9 inches, and a side length of the blank. Not drawn to scale What is the perimeter of the reduced triangle, in inches?
A.) 15
B.) 21
C.) 36
D.) 48
Answer:
A
Step-by-step explanation:
Answer:
The answer is 15
Step-by-step explanation:
i took the test
a triangular metal plate with a triangular metal plate placed in a box with a regular triangular prism with all the side edges 3 dm. It rests on the edge of the base and is inclined to the bottom of the box at an angle of 60 °. Calculate the area of the plate 0.01 dm2 accuracy. Take a look at how the spacing between planes is measured.
Answer:
6.75 dm²
Step-by-step explanation:
All the side edges in the regular triangular prism are 3 dm long. Then, the base of the triangular plate is 3 dm long, and the other two sides are: √[3² + 3²] = 4.24 dm long (a right triangle is made and Pythagorean theorem is applied).
The height of the triangular plate is: √[4.24² + 1.5²] = 4.5 dm long (again Pythagorean theorem is applied)
Area of the triangular plate is: base*height/2 = 3*4.5/2 = 6.75 dm²
helppp!!!!!! asap !!!!!!!
Answer: B
Step-by-step explanation:
What is the probability Jane gets a cone with any ice cream and any topping?
1/12
1/4
1/2
2/3
Find the x- and y-intercepts of the parabola y=−2x^2−5x+1
Answer:
View answer in the photo.
Step-by-step explanation:
In June, Cory begins to save money for a video game and a TV he wants to buy in December.
He starts with $22. Each month he plans to save 10% more than the previous month. How
much money will he have at the end of December?
A) 186.72
B) 208.72
C) 188.56
D) 204.56
Answer: B
Step-by-step explanation:
The answer is 32.2102.
In June, Cory begins to save money for a video game and a TV he wants to buy in December.
He starts with $22. Each month he plans to save 10% more than the previous month.
How to find how much money will he have at the end of December?
the given scenario is an application of a geometric sequence with
a1=$20 and r= 22/2 *100 = 1.1
. Since December is 6 months from June, then to find out the 6th term.
As, a2 = a1 * r = 20 × 1.1 = 22
a3= a2 *r = 22 * 1.1 = 24.2
a4= a3 * r = 24.2 * 1.1 = 26.62
a5=a3 * r = 26.62 *1.1 = 29.282
a6= a4*r = 29.282 * 1.1 = 32.2102.
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PLZZZZZ HELP ME HELP A DUMB CHILD OUT
Answer:
80 inches
Step-by-step explanation:
Pythagorean theorem
Question 12 (Multiple Choice Worth 5 points)
(05.02 MC)
What is the slope-intercept form equation of the line that passes through (5, 7) and (8, 22)?
Oy= -5x + 18
Oy=5x - 18
Oy=-5x - 18
O y = 5x + 18
Answer:
y = 5x - 18
Step-by-step explanation:
Points:
Equation of the line:
y = ax + b
(5; 7) and (8; 22)
(5; 7)
7 = 5a + b
(8; 22)
22 = 8a + b
a and b are the same values:
{- 5a - b = - 7
{8a + b = 22
3a = 15
a = 5
5a + b = 7
5.5 + b = 7
25 + b = 7
b = 7 - 25
b = - 18
Equation:
y = 5x - 18
I Hope I've helped you.
Final answer:
The slope-intercept form equation of the line that passes through the points (5, 7) and (8, 22) is y = 5x + 18, found by first calculating the slope and then using the point-slope form to solve for y.
Explanation:
To find the slope-intercept form of the equation of the line that passes through the points (5, 7) and (8, 22), we first need to calculate the slope (m). The slope is given by the formula:
m = (y2 - y1) / (x2 - x1)
Using our points, this becomes:
m = (22 - 7) / (8 - 5) = 15 / 3 = 5
Now, we use one point and the slope in the point-slope form of the equation, y - y1 = m(x - x1), which becomes:
y - 7 = 5(x - 5) => y - 7 = 5x - 25
Solving for y to get the slope-intercept form, y = mx + b:
y = 5x + (25 - 7) = 5x + 18
So, the correct slope-intercept form equation of the line is y = 5x + 18.
Solve 12x - 2 = 20.
Round to the nearest ten-thousandth,
Answer:
1.8333
Step-by-step explanation:
12x-2=20
Add 2 to both sides:
12x=22
Divide both sides by 12:
[tex]x=\frac{22}{12}\approx 1.8333[/tex]
Hope this helps!
Pls help me math work
Answer:
180.48[tex]ft^{2}[/tex]
Step-by-step explanation:
The area of a rectangle = bh
Area of a circle = π[tex]r^{2}[/tex]
Rectangle = 8 x 10 = 80
Circle = 3.14([tex]8^{2}[/tex]) = 200.96
But because it's a hlaf circle, divide the number by 2
100.48
Now add the numbers together
180.48[tex]ft^{2}[/tex]
29
80
60
NOTE: Angles not necessarily drawn to scale.
*HELP NEEDED*
Step-by-step explanation:
Hope it helps.
Please rate and mark as brainlist.
Answer:
I'm not sure
Step-by-step explanation:
sorry
If y=-16 when x=4 find x when y=48
Answer:
x= -12
Step-by-step explanation:
Assuming this is a direct variation
y = kx
When y = -16 x =4 we can find k
-16 = k*4
Divide each side by 4
-16/4 = 4k/4
-4 =k
So
y = -4k
Y = 48
48 = -4x
Divide each side by -4
48/-4 = -4x/-4
-12 =x
describe how to graph point K at (5,4)
Answer & Step-by-step explanation:
[tex]K(5,4)[/tex]
Remember this:
[tex](x,y)[/tex]
[tex](5_{x},4_{y})[/tex]
When you are going to graph a point, you always start along the x-axis (the horizontal), then you move on to the y-axis (vertical). Both of the numbers in K are positive, so we will stay in Quadrant I.
For x, starting at (0,0) move to the right to point 5. From here, move up to the line that has value 4. Mark this spot with a dot and label if needed.
*If the x value is positive, you move to the right. If it is negative, you move to the left.
If the y value is positive, you move up. If it is negative, you move down.
Final answer:
To graph point K at (5,4), draw axes, locate 5 on the x-axis, 4 on the y-axis, and mark the point at the intersection.
Explanation:
To graph point K at (5,4), you start by drawing a set of perpendicular lines representing the x-axis (horizontal) and y-axis (vertical), usually with arrows on each end to indicate that they extend infinitely.
Each axis should be marked with evenly spaced intervals. Locate the number 5 on the x-axis (the horizontal axis) and then move vertically until you're level with the number 4 on the y-axis (the vertical axis).
Plot point K at the intersection of these two points.
This gives you the coordinates of point K where the first number in the parentheses is the position on the x-axis and the second number is the position on the y-axis.
How is factoring a trinomial different than factoring a number?
Answer:
Hope this answers the question.
Step-by-step explanation:
Factoring a number: If you use the number 10, for example, you have to find all the factors to factor it. 1, 2, 5, 10.
Factoring a trinomial: If you use the trinomial x^2 + 16 + 64, for example, to factor it you need to first find what numbers multiply up to 64 and also add up to 16. In this case, those numbers are 8, and so you get (x + 8)^2.
Final answer:
Factoring a number involves breaking it down into its prime factors, a straightforward process within the real number system. Factoring a trinomial, particularly in algebra, requires finding binomials that, when multiplied, return the original trinomial and can extend to complex numbers, guided by the fundamental theorem of algebra.
Explanation:
Factoring a trinomial and factoring a number are two very different processes within the realm of mathematics. When we talk about factoring a number, we refer to breaking it down into its prime factors, which are the prime numbers that multiply together to give the original number. For instance, factoring the number 10 would give us 2 and 5, since 2 x 5 = 10. This process is straightforward and applies to the number system.
On the other hand, factoring a trinomial involves finding two binomials that, when multiplied together, result in the original trinomial. This is more commonly encountered in algebra, especially when dealing with second-order polynomials (quadratics). For example, factoring the trinomial x² + 5x + 6 involves finding two binomials (x + 2) and (x + 3), since (x + 2)(x + 3) = x² + 5x + 6. Furthermore, factoring trinomials can extend into complex numbers where every nth-order polynomial can be factored into n linear factors in the complex number system, according to the fundamental theorem of algebra.
In summary, factoring a number focuses on prime factorization within the real number system, while factoring a trinomial involves algebraic manipulation that can extend into handling complex numbers and requires an understanding of both real and complex number systems.
Simplify the Following:
⅔ + 2³ - ⅓
a.) 6 ⅓
b.) 8 ⅓
c.) ⁷/2
d.) -6
Answer:
B
Step-by-step explanation:
You have to evaluate the power and calculate the sum or difference in order to get the answer
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Betsy's high school is putting on a production of a play as a fundraiser for the school's music programs. A local bank has agreed to allow the school to use a line of credit from which they can withdraw money to pay for the play. Then, any deposits they make at the bank will be applied to the negative balance of the credit account.
The play cost $3,200.00 to produce, and they intend to sell tickets for $10 each. After the play, Betsy will take the ticket proceeds and deposit them with the bank. If 1,007 people attend the play's opening night, what will the balance of the bank account be?
A.
$13,270
B.
$6,870
C.
$10,070
D.
- $3,099
Answer:
B. $6,870
Step-by-step explanation:
Calculate how much money they earned from tickets then subtract the cost of making and that's their balance:
(1007×10)-3200=
10070-3200=
$6,870
B. $6,870
Final answer:
After calculating the total proceeds from selling tickets to 1,007 attendees at $10 each, the balance of the line of credit used to fund the play's production ($3,200) will be a positive $6,870.
Explanation:
The question pertains to a fundraiser calculation for Betsy's high school play. To determine the balance of the bank account after ticket sales, we must calculate the total proceeds from selling tickets to the attendees and then adjust the balance of the line of credit that was originally used to fund the production.
The production cost is $3,200.00, and tickets are sold at $10 each. With 1,007 people attending, the total ticket proceeds will be 1,007 imes $10 = $10,070. Since the school used a line of credit to pay for the play, the proceeds will pay off this balance. Hence, after depositing the ticket sales, the balance is:
Balance after deposit = Ticket proceeds - Production costs
= $10,070 - $3,200
= $6,870 (Credit balance)
The correct balance of the bank account after the play's opening night is therefore $6,870 (Option B).
Will mark brainliest! Need help (50 points)
Answer:
(-4y,+12y), (z,19z)
Step-by-step explanation:
i got the same question.
please help me! i’ll give brainliest!
What is the horizontal distance from the plane’s starting position to its finishing position???? I will mark brainliest
Answer:
The answer would be 13.3.
Step-by-step explanation:
Use the Pythagorean theorem to find the other distances in the 5, 3, x triangle and the 7, 3, y triangle and add those two answers together plus 3 to get your answer.
Answer:
13.3 kilometers
Step-by-step explanation:
You need to use Pythagorean theorem for x+3+y.
The distance you would be looking for is 4+3+6.3=13.3
In the school yearbook, it costs $10 per square Inch for advertisements. What is the cost for a full page ad the page measures 8 inches by 11 inches?
8.80
880
80
0.88
Answer:
(b) $880
Step-by-step explanation:
You want the cost of an 8-inch by 11-inch ad at the rate of $10 per square inch.
AreaThe area of the ad is the product of its dimensions:
A = LW
A = (11 in)(8 in) = 88 in²
CostThe cost is $10 for each of those square inches:
($10/in²)×(88 in²) = $880
The cost of the full-page ad is $880, choice B.
Nadine and Calvin are simplifying the expression (StartFraction r Superscript negative 5 Baseline s Superscript negative 3 Baseline Over r Superscript 8 Baseline s Superscript negative 2 Baseline EndFraction) Superscript negative 4. Nadine claims the first step to simplify the expression is to raise the numerator and denominator to the power of 4 to get StartFraction r Superscript negative 20 Baseline s Superscript negative 12 Baseline Over r Superscript 32 Baseline s Superscript 8 Baseline EndFraction. Calvin claims the first step to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4. Who is correct and why? Nadine is incorrect because she should have applied the quotient of powers rule first. Nadine is correct because she correctly applied the power of a product rule. Calvin is incorrect because he should have applied the power of a product rule first. Calvin is correct because he correctly applied the quotient of powers rule.
Answer:
what is the question
Step-by-step explanation:
plsss give brainliest
The correct answer is Calvin is correct because he correctly applied the quotient of powers rule.
The correct option is (D).
Calvin is correct because he correctly applied the quotient of powers rule.
According to the quotient of powers rule, [tex]\( \frac{a^m}{a^n} = a^{m - n} \).[/tex]
So, in this case:
[tex]\[ \frac{r^{-5}s^{-3}}{r^8s^{-2}} = r^{-5 - 8}s^{-3 - (-2)} = r^{-13}s^{-1} \][/tex]
Then, when you raise this expression to the power of -4:
[tex]\[ (r^{-13}s^{-1})^{-4} = r^{-13 \times -4}s^{-1 \times -4} = r^{52}s^4 \][/tex]
Nadine's approach would result in:
[tex]\[ \left( \frac{r^{-5}s^{-3}}{r^8s^{-2}} \right)^{-4} = \left( \frac{e^{-20}s^{-12}}{r^{32}s^8} \right) \][/tex]
Which is incorrect.
So, the correct answer is D. Calvin is correct because he correctly applied the quotient of powers rule.
complete question given below:
Nadine and Calvin are simplifying the expression ( (r^(-5)s^(-3))/r^8s^(-2) ). Nadine claims the first step to simplify the expression is to raise the numerator and denominator to the power (e^(-20)s^(-12))/r^(32)s^8 . Calvin claims the first step to simplify the expression is to apply the quotient of powers to get (r^(-13)s^(-1))^-4.
Who is correct and why?
A.Nadine is incorrect because she should have applied the quotient of powers rule first.
B.Nadine is correct because she correctly applied the power of a product rule.
C.Calvin is incorrect because he should have applied the power of a product rule first.
D.Calvin is correct because he correctly applied the quotient of powers rule
x^2 – 3x – 7 = 0
Solve the quadratic equation using the quadratic formula.
Answer:
x^2-3x-7=0. x2−3x−7=0 x 2 - 3 x - 7 = 0.
Step-by-step explanation:
x^2-3x-7=0. x2−3x−7=0 x 2 - 3 x - 7 = 0. Use the quadratic formula to find the solutions. −b±√b2−4(ac)2a - b ± b 2 - 4 ( a c ) 2 ...
Answer:
x=3/2 ± √37/2
Step-by-step explanation: the answer