Answer:
Example Question: f(x) = 2x^2 + 2x - 1
If the leading coefficient is positive, the graph will be opening up (U) if the leading coefficient is negative, the graph will be opening down (n)
Roots are the x-intercepts that help find the axis of symmetry (add the two roots together and divide the result by 2 to get the axis of symmetry)
To find the vertex, simply imput the axis of symmetry into the given equation.
And that’s about it.
Step-by-step explanation:
I don’t know what you’re asking for??
A bag contains 40 red and green marbles. The number of green marbles, g, is 9 times the number of red marbles, r.
How many red marbles are in the bag?
Answer:
4 red marbles
Step-by-step explanation:
green marbles = 9r
red marbles = r
9r + r = 40
10r = 40
r = 4 = red marbles
You buy 10 pounds of bird seed at store A for $11.50.Your friend buys 15 pounds of bird seed at Store B for $19.50.How much less would u sped by buying 20 pounds of bird seed at the store with the better deal?
Answer:
$3
Step-by-step explanation:
You buy 10 pounds of bird seed at store A for $11.50 which means every pound is $1.15.
15 pounds of bird seeds store B for $19.50 is $1.30 per pound.
At store A = 20 * $1.15 = $23
At store B = 20 * $1.30 = $26
So, 26 - 23 = 3
Answer:
You would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.
Step-by-step explanation:
Given:
You can buy 10 pounds of birdseed at Store A for $11.50
10 pounds – $11.50
[tex]\mathrm{\dfrac{ \$11.50 }{ 10\:pounds }}=\mathrm{\dfrac{ \$1.50 }{ 1\:pound }}[/tex]
1 pound – $1.15
To find the value for 20 pounds, we do:
20 pounds = 20 × 1.15 = $23
20 pounds = $23
Your friend buys 15 pounds of birdseed at Store B for $19.50
15 pounds – $19.50
[tex]\mathrm{\dfrac{ \$19.50 }{ 15\:pounds }}=\mathrm{\dfrac{ \$1.3 }{ 1\:pound }}[/tex]
1 pound – $1.3
To find the value for 20 pounds, we do:
20 pounds = 20 × 1.3 = $26
20 pounds = $26
Now we compare each stores value for 20 pounds of bird seeds:
$23 < $26
The store with the better deal is: Store A
So, you would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.
Find the simple interest earned to the nearest cent for each principal, interest rate, and time 1,050, 4.6%, two years
Answer:
The interest earned is $96.60
Step-by-step explanation:
Since we are working the a simple interest problem, we will use the formula
[tex]I=Prt[/tex],
Where P represents the principal, r represents the rate as a decimal, and t represents the time in years. First, we need to change the 4.6% into a decimal by dividing by 100:
[tex]4.6\div 100 = 0.046[/tex]
From our given information and our decimal rate, we have:
[tex]P=1050\\r=0.046\\t=2[/tex]
Substituting these into our equation, we get:
[tex]I=1050(0.046)(2)\\I=96.6[/tex]
We write that as $96.60 in context of the problem.
Answer:
principle (p)=RS 1,050
Rate(R)=4.6
time(T)=2years
we know that
I=P×R×I/100
=1050×4.6×2/100
=9660/100
=96.6
therefore the earned simple interest is RS.96.6
A parabola has a vertex at (0,0). The equation for the directrix of the parabola is x = –4. In which direction does the parabola open? up down right left.
The parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.
What is a directrix?A parabola is a collection of points on a plane that are all at the same distance from a particular point and line. The point is called the focus of the parabola while the line is called the directrix. The directrix is perpendicular to a parabola's axis of symmetry and does not contact it.
As we know that the directrix is perpendicular to the axis of the parabola, now since the directrix is at x=-4, the parabola will be horizontal and will be opening either towards the left or the right.
As it is given that the vertex of the parabola is at (0,0) and we know that the parabola can not touch the directrix, therefore, the parabola's vertex will be at (0,0) and will open towards the right side. As shown below.
Hence, the parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.
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Answer:
right
Step-by-step explanation:
Directions: Select all correct answers.
Select all situation representing independent events.
Question 7 options:
Spinning spinner two times.
Rolling a die and then flipping a coin.
Taking one candy out of a bag of candies, eating it, and then taking another candy.
Taking a card from a set of ten cards, replacing it, and then, taking another card.
Taking a sock from a drawer, placing it on your foot, and then picking another sock from the drawer.
Taking a card from a set of ten card, not replacing it, and then taking another card.
Answer:
Step-by-step explanation:
HELPP 30 POINTS A bag of marbles has a mass of 45 grams. What is the mass of 250 bags of marbles in kilograms?
show your work below
Answer:
11.25 kg
Explanation:
1 bag of marbles → 45 grams
250 bags → (45 *250) = 11250 grams
Conversion:
1 kg ↔ 1000 grams
So,
11250 g → (11250/1000) kg = 11.25 kg
Answer:
11.25 kg
Step-by-step explanation:
One bag of marbles = 45 g
⇒ Weight of 250 bags of marbles = 250 × 45 = 11250 g
1000 g = 1 kg
⇒ 11250 g ÷ 1000 = 11.25 kg
What is the value of the expression below?
-(-4)(-6)-3/5(10+15)
______________
1/3
A) -117
B) -13
C) 3
D) 27
Answer:
Answer is A
- 117
_______________________________________
Answer:
ay wee tologo bo sharmaine?
I need help please. Find the volume of the composite solid.
Answer: 150 cubic feet
Step-by-step explanation:
Formula: area of base x height (length x width x height)
Volume of small rectangle: 5 x 2 x 3 = 30
Volume of large rectangle: 10 x 6 x 2 = 120
Add them together: 120 + 30 = 150
Given that 1 x2 dx 0 = 1 3 , use this fact and the properties of integrals to evaluate 1 (4 − 6x2) dx. 0
So, the definite integral [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74[/tex]
Given that
[tex]\int\limits^1_0 {x^{2} } \, dx = 13[/tex]
We find
[tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx[/tex]
Definite integralsDefinite integrals are integral values that are obtained by integrating a function between two values.
So, [tex]Integral \int\limits^1_0 {(4 - 6x^{2} )} \, dx[/tex]
So, [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx = \int\limits^1_0 {4} \, dx - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - 6\int\limits^1_0 {x^{2} } \, dx \\= 4[1 - 0] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4[1] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6\int\limits^1_0 {x^{2} } \, dx[/tex]
Since
[tex]\int\limits^1_0 {x^{2} } \, dx = 13[/tex],
Substituting this into the equation the equation, we have
[tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx = 4 - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6 X 13 \\= 4 - 78\\= -74[/tex]
So, [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74[/tex]
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The value of the function [tex]\rm \int\limits{(4-6x^2)} \, dx[/tex] is -74.
What is a definite integral?A definite Integral is a difference between the values of the integral at the specified upper and lower limit of the independent variable.
The given function is;
[tex]\rm \int\limits^1_0 {x^2} \, dx=13[/tex]
Calculation of the value of the function by using integration;
[tex]\rm= \int\limits{(4-6x^2)} \, dx \\\\=4 \int\limits^1_0 {} \, dx -6\int\limits^1_0 {x^2} \, dx \\\\=4 \int\limits^1_0 {} \, dx -6(13)\\\\ =4[x]^1_0-78\\\\= 4[1-0]-78\\\\=4-78\\\\=-74[/tex]
Hence, the value of the function [tex]\rm \int\limits{(4-6x^2)} \, dx[/tex] is -74.
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What is the center of the data in the dot plot? Number of Science Homework Assignments Each Week A dot plot going from 0 to 5. 0 has 3 dots, 1 has 2 dots, 2 has 5 dots, 3 has 4 dots, 4 has 1 dot, and 5 has 6 dots. 2 2. 5 3 2005.
The center of the data in the dot plot comes to be 3.
0 has 3 dots
1 has 2 dots
2 has 5 dots
3 has 4 dots
4 has 1 dot
5 has 6 dots.
Let us arrange these data in ascending order
0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,5,5,5,5,5,5
Number of observations = 21
What is the median?The Median is the middle number when observations are arranged in either ascending or descending order. Median is more informative than average.
So, the median will be the middle data = 11th data
11th data = 3 so median =3
Hence, the center of the data in the dot plot comes to be 3.
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Is the length of the hypotenuse of a right triangle with legs that mea-
sure 5 cm and 6 cm a rational number or an irrational number? Justify
your answer. Answer in complete sentences and indude all relevant calculations
Which number is a rational?
Answer:
0/5 = 0
0/200 = 0
0/ (-25) = 0
Step-by-step explanation: I am sure this is it because these are rational numbers
The table below shows data for a class's midterm and final exam. Use the table to answer the following questions. Mid-Term Final 100 98 100 95 100 93 95 91 95 88 92 82
9278 88 78 85 65 75 60 What is the 5 number summary for the class's Final Exam? Minimum
type your answer... Lower Quartile type your answer.... Median type your answer... Upper Quartile type your answer...
Maximum
type your answer...
Based on the scores in the final exam, the five number summary of the class is:
Minimum = 60Lower quartile = 71.5.Median = 85.Upper Quartile = 94.Maximum = 98What is the five number summary for the final exams?The minimum is the smallest score of 60. The maximum will be the largest score of 98.
The lower quartile can be found by the formula:
= (Second score + Third score) / 2
= (65 + 78) / 2
= 71.5.
The upper quartile is:
= (Third to last score + Second to last score) / 2
= (93 + 95) / 2
= 94
The median is:
= (5th score + 6th score) / 2
= (82 + 88) / 2
= 85
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You mix 3/5 quart of blue paint for every 1/3 quart of red paint to make 5 3/5 quarts of purple paint. How much blue and red paint do you use?
Pls answer!!!!
Answer:
Hey Here Is Ur Answer
Step-by-step explanation:
3/5 + 1/3 = 14/15
5 3/5 ÷ 14/15 = 6
so
blue:red = 3/5 : 1/3 = 18/5 : 2
HOPE IT HELP U
3/5 + 1/3 = 14/15
5 3/5 ÷ 14/15 = 6
so
blue:red = 3/5 : 1/3 = 18/5 : 2
Is πxy=4 a linear equation?
Answer:
Yes
Step-by-step explanation:
It is a first-degree equation. Look at the exponents of each variable (x, y), they are not written because they are 1
Hope this helps
Need step by step explanation please.
1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³
2. Volume of the cylinder = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³
What is the Volume of a Cylinder and Volume of a Sphere?Volume of Cylinder = πr²hVolume of Sphere = 4/3πr³Diameter of the tennis ball = 4 in. (given)
1. Volume of 1 tennis ball = volume of sphere = 4/3πr³
r = 1/2(4 in.) = 2 in.
Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³
2. Volume of the cylinder = πr²h
Radius of the cylinder (r) = 1/2(4 in.) = 2 in
Height of the cylinder (h) = 3(4 in.) = 12 in
Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)
= 150.8 - 3(33.51) = 50.27 in.³
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Anthony deposits $800 into a savings account that carns 3.5% interest annually.
after 1 year he will get : 800 + 800 x 3,5% = 800 x 1,035 = $828
after 2 years he will get : 828 x 1,035 = 800 x 1,035 x 1,035 = 800 x 1,035²
so
after n years he will get : 800 x 1,035ⁿ
Answer:
Step-by-step explanation:
800 x 1,035ⁿ
there 8 books in a series. the number of pages in each book are: 173, 205, 195, 215, 219, 184, 211, and 400.
Which measure of center best describes the typical number of pages in the books in this series? a. mean b. median
What is the value of measure of center that best describes the typical number of pages in the books in this series?
Answer:225.25 or Mean
Step-by-step explanation: Put the sequence of numbers in order: 173,184,195,205,211,215,219,400
Cross of the end number each side until you have only 2 numbers:205,211
Add these numbers then divide them by 2: 205+211=416 416\2= 208
208 is the median
To find the mean is all of the numbers added together divided by the number of numbers: 173+205+195+215+219+184+211+400=1,802/8+225.25
Now compare the median:208 and the mean:225.25 to the sequence of numbers and see which one best describes the typical number of pages in the books. To do that you can subtract 173 from 400: 227
So the answer that's closest to 227 is 225.25.
I think anyway.
The mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.
What is arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
Given the set of observations as :
173, 205, 195, 215, 219, 184, 211, and 400
Arrange the data in ascending order.
173, 184, 195, 205, 211, 215, 219, 400
Here n = 8 which is an even number
For finding the median we have to calculate the average of 205 and 211
Thus, the median is 208
When all the numbers are added up and divided by the total number of numbers, the mean is obtained:
⇒ 173 + 205 + 195 + 215 + 219 + 184 + 211 + 400
⇒ 1,802
⇒ mean = 1,802/8
⇒ mean = 225.25
In order to determine which figure accurately represents the median value of 208 to the mean value of 225.25.
To achieve it, divide 400 by 173, which equals 227.
Therefore, 225.25 is the answer that is closest to 227.
Hence, the mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.
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What is the value of w?
w
36°
Answer: you literally said it yourself. its 36°
Step-by-step explanation:
i Want to ask about linear equation
Answer:
what do you want to know about linear equation?
Which expression is equivalent to 9 ( w + 8)?
72 w
9 w + 72
9 w + 8
17 w
Answer:
A) 72w
Step-by-step explanation:
When two lines intersect, are all the angles formed equal?
Answer: No
Step-by-step explanation:
If we don't know if the lines are parallel, we cannot conclude the angles are equal.
When two lines are parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure, and when the lines are not perpendicular the measure of the angle is not equal.
What are intersecting lines?The intersecting lines (two or more) always meet at a single point. The intersecting lines can cross each other at any angle.
When two lines intersect each other, the two opposite pairs of angles formed are called vertically opposite angles.
If two parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure.
If the corresponding angles formed at the two intersections are congruent, the two lines will then be considered parallel.
The pair of corresponding angles always lies on the same side of a transversal.
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A survey of high school juniors found the 75% of the students plan on attending college. If you pick 3 students at random, what is the probability that at least two plan on attending college? Round to the nearest percentage.
Assuming you pick 3 students at random, The probability that at least two plan on attending college is 84%.
ProbabilityUsing Binomial Distribution
Given:
n = 3
p = 0.75
q = 1-0.95 = 0.25
Hence:
P[≥2] = P[2] + P[3]=(3c2 ×0.75²×0.25) + 0.75³
P[≥2] = P[2] + P[3]=0.421875+0.421875
P[≥2] = P[2] + P[3]=0.84375×100
P[≥2] = P[2] + P[3]=84% (Approximately)
Inconclusion the probability that at least two plan on attending college is 84%.
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From the height of 30 meters above sea level of a cliff, a ship is sighted due west. The angle of depression is 20How far from the base of the cliff is the ship? Please help
Answer:
9470m above the sea level.
Step-by-step explanation:
I need help. SO confused
Answer:
The answer would be 1/4% or 25%.
Step-by-step explanation:
The reason why is that there were 20 students in the class. 5 people wanted to work in groups. That is 25% of the students. That is why 25% or 1/4% is your answer.
ABC has the following transformation rotated 90 degrees clockwise about the origin reflected across the y-axis and reflected again across the x-axis
Select the angle vertex that corresponds to angle A
Answer: Leftmost vertex
Step-by-step explanation:
Find the volume of the prism.
Answer:
210 cm^3
Step-by-step explanation:
To find the volume of a regular we use the following formula:
l*w*h (l: length, w: width, h: height)
6*5*7 = 210 the volume is expressed with cm^3 so the answer is 210 cm^3
Can someone please help me
Answer:
Hence corre ctophon is (A)
United States farms produced 2,460,000,000 bushels of soybeans
in 1994. How many quarts is this? (A bushel is 32 quarts.)
Pls u need this now
Answer: 78,720,000,000 quarts.
Step-by-step explanation:
32 x 2460000000 = 78,720,000,000
what type of sequence is 99,33,3,1
Answer:
36 ,36 30,2
Step-by-step explanation:
hope it's okay to you