[tex]\text{If there are no real roots, then}\\\\~~~~~\text{Discriminant} < 0\\\\\implies b^2 -4ac < 0\\\\\implies (-8)^2 -4 \cdot 3 k < 0\\\\\implies 64-12k < 0\\\\\ \implies 12k > 64\\\\\implies k > \dfrac{64}{12}\\\\\implies k > \dfrac{16}3\\\\\text{Interval,}~ \left( \dfrac{16}3, ~\infty\right)[/tex]
1 Segment AB has coordinates A(3, 6) and B(2, 4).
Segment A' B' has coordinates A'(-3, 6) and B'(-2, 4).
Which transformation takes segment AB to segment A'B'?
А
Rotation 90 counterclockwise
B
Reflection over the r-axis
C
С
Rotation 90° clockwise
D
Reflection over the y-axis
Answer: I belive it’s C sorry if it’s wrong
Step-by-step explanation: because if you rotate it it will swap sides making it A,B
help please
Evaluate f(x) at the given values of x.
Replace x in the equation of f(x) and solve:
f(0) = sqrt(0) = 0
F(49/9) = sqrt(49/9) = 7/3
Put values get answer
f(x)=√xx=0
f(0)=√0=0x=49/9
f(49/9)√49/97/3Please help me find the volume of this figure I will give brainly
Answer:
100.53
Step-by-step explanation:
V=πr2h
3=π·42·6
3≈100.53096
Hope this helps! please mark me brainliest :)
Divide. Give the quotient and the remainder
1493/6
Answer:
248 with remainder 5
Step-by-step explanation:
thats it
Find the mean, median, mode and range for the following data set. 1, 3, 5, 9, 8, 5, 8, 6 Mean: Median: Mode: Range:
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Find the mean, median, mode and range for the following data set. 1, 3, 5, 9, 8, 5, 8, 6
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and How to solve:-}}}[/tex]
In order to find the mean of a data set, we add all the numbers in the data set and add them, then we divide by how many there are:-
1+3+5+9+8+5+8+6
[tex]\bigstar[/tex] On simplification,
18+8+5+8+645[tex]\bigstar[/tex] Now, divide by 8, because there are 8 numbers in the data set:-
[tex]\bold{\dfrac{45}{8}\:;written\:as\:decimal\Longrightarrow5,625}}}[/tex]
We've found the mean, but we also need to find the median, mode, and range!
The median is the number in the middle, but we should first arrange the data from least to greatest:-
1, 3, 5, 5, 6, 8, 8, 9
Now pick the number in the middle, which is:-
5,6. There are 2 numbers in the middle!
So what we do is we find the mean of the two numbers in the middle:-
5+6=11
11/2 [tex]\Longleftarrow[/tex] median
Now, we don't need to find the mean anymore - the mode and range don't require the mean.
The median requires the mean only when there's an even amount of numbers in the data set.
The mode of a dataset is the number we see the most.
Here we see the number 1 once, the number 3 once, the number 5 appears twice, 6 appears one time only, 8 appears twice and, last but not least, 9 appears once.
So this data set has two modes - 5 and 8.
In order to find the range, we take the smallest number (1) and subtract it from the largest number (9), which results in
8 (range)
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Answer:
mean=
5.625
median=5.5
mode=5and8
Step-by-step explanation:
mean=1+3+5+5+6+8+8+9/8
45/8
5.625
median=1,3,5,5,6,8,8,9
5+6/2
11/2
5.5
mode=
5and8
range=9-1=8Please Show Your Work
The area of the trapezoid will be 32.5 square feet. Then the volume of the geometry will be 341.25 cubic feet.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The figure is shown.
Then the volume of the given geometry will be
Volume = Area of the trapezoid × Height
Then the area of the trapezoid will be
[tex]\rm Trapezoid \ area = \dfrac{1}{2} \times (8 + 5) \times 5\\\\\\Trapezoid \ area = 32.5 \ ft^2[/tex]
Then the volume of the geometry will be
Volume = 32.5 × 10.5
Volume = 341.25 cubic ft.
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Find the measurement of x
Answer:
x = 40°
Step-by-step explanation:
In circle with center O.
[tex]\angle AOB[/tex] is central angle.[tex]m\angle AOB= 80\degree[/tex] (Given)[tex]m\widehat{(AB)} =m\angle AOB[/tex] (By central angle theorem)[tex]\implies m\widehat{(AB)} =80\degree[/tex][tex] \angle ACB[/tex] is inscribed angle and [tex]\widehat{(AB)}[/tex] is intercepted by it.[tex]\implies m\angle ACB=\frac{1}{2}\times m\widehat{(AB)}[/tex] (By inscribed angle theorem)[tex]\implies x=\frac{1}{2}\times 80\degree[/tex] [tex]\implies \huge\purple{ x=40\degree}[/tex]A table.Short description, A table.,Long description, Sandwich Fat (in grams) Calories Hamburger 18 390 Cheeseburger 25 430 Bacon Cheeseburger 33 550 Grilled Chicken 9 310 Chicken Club 21 490 Question What is the range of fat grams for the five sandwiches?
Using it's concept, it is found that the range of fat grams for the five sandwiches is of 24 grams.
What is the range of a data-set?It is given by the difference of the highest value by the lowest value in the data-set.
In this problem, the sandwich with the least fat has 9 grams and the one with the most has 33 grams, hence the range is given by:
R = 33 - 9 = 24 grams.
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Suppose you drop a tennis ball from a height of 11 feet. After the ball hits the floor, it rebounds to 75% of its previous height. How high will the ball rebound after its third bounce? Round to the nearest tenth.
Answer:
4.64 ft
Step-by-step explanation:
75 % = .75
11 * .75^3 = 4.64 ft
A contractor has two choices for billing a completed job. · $500 flat rate, regardless of the number of hours worked · $20 per hour worked The graph shows the relationship between pay per hour and number of hours worked for both scenarios. What is the solution to this system of equations, and what does it mean to the contractor?
The solution (0, 20) tells the contractor the minimum amount that can be charged.
The solution (0, 500) tells the contractor the maximum amount that can be charged.
The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.
The solution (20, 25) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.
The solution to this system of equations is: The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options. (Option C).
What does this mean to the contractor?
It means that if the number of hours worked is above 20, then it is more profitable to utilize the $20/hour rate.
Recall that the contractor has two options for billing a completed job. They are:
500 dollars flat rate20 per work workedLet us fix x hours to be required for completing the project:
Note that:
The total amount recievable per contract is $500 while working on a retail basis, it will cost $25x.
Stating this mathematically, e have
25x < 500 when x < 20.
This mean that
25x < 500 when x < 20.
Then we find that by I contract he would get 500 $ but by II choice he would get 25x dollars
We find that
25x<500 if x<20
This suggests that a $500 flat rate is preferable if the number of hours done is fewer than 20.
If the number of hours is greater than 20, the hourly rate, i.e. $20 per hour, is preferable.If number of hours is more than 20, hourly rate i.e. 20 per hour is better.Hence the correct answer is Option C.
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Answer:
C
Step-by-step explanation:
just took the test
Find the volume of the cone
Volume =
1 πr2h
3
=
1 ×π×42×7
3
= 117.28612573402 centimeters^3
Find the distance between the two points.
(-9,-8) and (1,4)
Answer:
15.6205 (15.62)
Step-by-step explanation:
The distance between two points with coordinates (-9,-8) and (1,4) is:
15.62 units
(actual is 15.6205)
(results are in decimal form, rounded to the nearest 100th)
HELP NEEDED PLEASE!!!
Using vector concepts, it is found that:
The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.
How can a vector be represented in component notation?Given a magnitude M and angle [tex]\theta[/tex], then a vector V can be represented as follows in component notation:
[tex]V = (M\cos{\theta}, M\sin{\theta})[/tex]
In this problem, the magnitude and the angle are given, respectively, by:
[tex]M = 12, \theta = 143^\circ[/tex]
Hence:
V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).
Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).
The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.
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Type the equation for the graph
below.
Answer:
y=log(pi divide by 2)exponent ×
If 126 people attend a concert and tickets for adults cost $4.00 while tickets for children cost $2.25 and total receipts for the concert was $383.25, how many of each went to the concert?
Answer:
69 children, 57 adults
Step-by-step explanation:
Let a = number of adults and c = number of children.
a + c = 126---------------->4a + 4c = 504
4a + 2.25c = 383.25-->4a + 2.25c = 383.25
----------------------------
1.75c = 120.25
c = 69, a = 57
What is the x-coordinate of point D? Write the coordinate as a decimal.
-5
N305
N
2+
-
1
х
Х
-5 -4 -3 -2 -14
2
2 3 4 5
O
--3--
पे
4+
5
it's approximately 2.5...i hope this helps
The value of the x-coordinate of point D is,
⇒ 2.5
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
Graph of a function is shown.
And, A point D is shown in graph.
Now, By graph we get;
Coordinate of D is,
D = (2.5, - 1.5)
Hence, We get;
x - coordinate of D = 2.5
y - coordinate of D = - 1.5
Thus, The value of the x-coordinate of point D is,
⇒ 2.5
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A circle with radius 142.5 has an arc with a 24 degree angle. What is the length of the arc?
Answer: 59.690260418206
The result is approximate. Round that value however you need to.
===========================================================
Explanation:
For a circle with radius r = 142.5, the full distance around the edge (aka perimeter aka circumference) is found by using the formula below.
C = 2*pi*r
C = 2*pi*142.5
C = 895.353906273091
That value is approximate. I used my calculator's stored value of pi to get the most accuracy possible.
That value of roughly 895 represents the distance around a full circle of that radius, but we only want a 24 degree pizza slice.
In other words, we want 24/360 = 1/15 of the full perimeter
(1/15)*895.353906273091 = 59.690260418206
Answer:
59.69 units
Step-by-step explanation:
TOTAL circumference of this circle = pi * d = pi * 2r = 895.354
now you want 24 degrees of the entire 360 degrees
24/ 360 * 895.354 = 59.69 units
Pythagorean Theorem
right angles triangle
25cm
15cm
B
find B
The value of B using Pythagoras theorem is 20 cm.
Pythagoras theorem?Pythagoras' theorem states that the square of the hypotenuse in a right- angle triangle is equal to the sum of the square of the two other sides.
Formula:
A² = B²+C²........... Equation 1Make B the subject of the equation
B² = A²-C²B = √(A²-C²)................ Equation 2From the question,
Given:
A = 25 cmC = 15 cmSubstitute these values into equation 2
B = √(25²-15²)B = √(625-225)B = √(400)B = 20 cm.Hence, The value of B using Pythagoras theorem is 20 cm.
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A school bag weighs 1.750 kg corrected to the nearest gram. What is the percentage error in this measurement?
Answer:
5.71%
Step-by-step explanation:
1.75 kg = 1750 gm ( 1kg = 100gm)
So if the corrected weight is to the nearest gram, the bag can weigh ± 1 gm from the corrected weight
So the error is 1/1750 = 1 /1750 x 100 % = 5.71%
" 7 less than a number t " written as an algebraic expression is:
t - 7
hope it helps...!!!
anyone know how to do it
Answer:
Surface area of cube = 6x²
surface area of cube = surface area of sphere
it means that 6x²=4πr²
x²=
[tex] \frac{4\pi {r}^{2} }{6} = \frac{4 \pi9}{6} = \frac{4\pi3}{2} = 6\pi[/tex]
[tex]x = \sqrt{6\pi} [/tex]
[tex] \sqrt{6\pi} = \sqrt{k\pi} [/tex]
[tex]6\pi = \pi \: k[/tex]
[tex]k = 6[/tex]
I need help, will give brainliest to whomever answers!! thanks!!!
Step-by-step explanation:
in such problems with just equations we always need to have the main (optimization) equation or condition, and then usually some constraint equations.
the constant equations allow us typically to express one variable through another, until we have only one variable for the optimization equation. then we find the zeros of the first derivative of that functions and find the needed maximum or minimum if needed via the second derivative.
now if we have inequalities, it is even easier, I think.
we find the corners of the shaded area that must contain our minimum or maximum by finding the intersections of the delimiter lines. the optimum must be one of the corners.
and then we try the coordinates of the different corners in the optimization equation and see, which one delivers the highest or lowest value. and we are done.
a.
x + y <= 240
y >= 4x
b.
500x + 450y = profit
theoretically we have 3 corners to test
(0, 0)
(0, 240)
(48, 192)
(0, 0) is clearly the minimum, profit 0.
(0, 240) gives
450×240 = $108,000
(48, 192) gives
500×48 + 450×192 = 24000 + 86400 = $110,400
that is the maximum.
so, the farmer makes the most profit under the given constraints, if he plants 48 acres corn and 192 acres sprouts.
Answer:
hope you can understand
Is (5, 3) a solution to the equation y = x + 2?
Answer:
No
Step-by-step explanation:
Replace x with the given c value to get y = 5 + 2 which becomes y = 7
Since y is 3 in the given solution and not 7 it cannot be a solution.
Mike had 4 cups of rice.
He used 1
2 cup of rice for one recipe and 1 1
4 cups of rice for another recipe.
How many cups of rice did Mike have left?
Answer:
Mike now has zero cups of rice
Aimee got on the train at 3:00 p.m. She got off the train at 4:55 p.m. About how long was Aimee on the train?
Answer:
1 hour and 55 minutes.
Step-by-step explanation:
3:00 to 4:00 is 1 hour. 4:00 to 4:55 is 55 minutes. 1 hour + 55 minutes = 1 hour and 55 minutes.
Which term best describes the expression 3x2y4 + 5x + 1?
O Trinomial
O Polynomial
O Binomial
O Monomial
Answer:
Trinomial.
Step-by-step explanation:
Note how much terms there are in the given expressions:
Term 1: [tex]3x^{2}y^{4}\[/tex]
Term 2: [tex]5x[/tex]
Term 3: [tex]1[/tex]
Note each meaning of the terms:
Monomial: Having only one term.
Binomial: Having two terms.
Trinomial: Having three terms.
Polynomial: Typically used to describe expressions with 4 or more terms.
In this case, there are only 3 terms, and so your answer is Trinomial.
~
The area of the parallelogram below is square meters?
Answer:
8 Square meters
Step-by-step explanation:
plus the 6m and 2m this meters is both side , so add that then it'll become 8 Square meters
or multiply the 6m and 2m it'll become 12m
Choose the graph of y < –x2 + 4x + 5.
Answer:
can you show me the graph so I can't answer the question
Answer:
A
Step-by-step explanation:
Edge 2022
Two mechanics can assemble 10 bicycles in 8 hours. How many bicycles could one mechanic assemble in 8 hours? Use what you determined in part (a) to write the unit rate for one bicycle mechanic to assemble bicycles. Write an equation that relates the rate, bicycles, and time needed for one mechanic. Let t represent time and b represent bicycles assembled. Use your equation to find out how long it would take one mechanic to assemble 25 bicycles.
Using proportions, it is found that one mechanic could assemble 5 bicycles in 8 hours, and it would take 40 hours to assemble 25 bicycles.
The equation is: b = 0.625t.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, two mechanics can assemble 10 bicycles in 8 hours. How many bicycles could one mechanic assemble in 8 hours? Hence the rule of three is given by:
2 mechanics - 10 bicycles.
1 mechanic - x bicycle.
Applying cross multiplication:
2x = 10 -> x = 5 bicycles in 8 hours.
Hence the equation for the number of bicycles in t hours of a single mechanic is given by:
b = 5/8t = 0.625t.
For 25 bicycles, we have that:
25 = 0.625t.
t = 25/0.625.
t = 40 hours.
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Each of 7 students reported the number of movies they saw in the past year this is what they reported
11,9,11,15,17,13,17
Find the mean and median number of movies that the students saw if necessary round your numbers to the nearest tenth
Answer:
Mean= [tex]\frac{11+9+11+15+17+13+17}{7}[/tex]
=13.28 ≈13
For median arrange in ascending or descending order. i am arranging in ascending order
9,11,11,13,15,17,17
cancel from left and right until one number is left
median=13
