Answer:
- 1
Step-by-step explanation:
The average rate of change in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [4, 7 ], thus
f(b) = f(7) = 7² - 4(7) - 1 = 49 - 28 - 1 = 20
f(a) = f(- 4) = (- 4)² - 4(- 4) - 1 = 16 + 16 - 1 = 31
average rate of change = [tex]\frac{20-31}{7+4}[/tex] = [tex]\frac{-11}{11}[/tex] = - 1
Factor the following polynomial: 7x (a - b) - 3y (a - b)
(a-b)(7x-3y)
_________________
The Rivera and Patel families each bought a car at the same time.
The resale values, in dollars, of each car are modeled by these functions, where x is the number of years that the family has owned the car.
Options; Pastel or Rivera
Options 2; equal to, faster than, slower than
Answer:
Pastel and faster than
Step-by-step explanation:
The Patel family’s car had the greater initial resale value. During the first six years, the resale value of the Rivera family’s car decreases at an average rate faster than the resale value of the Patel family’s car.
Patel
faster than
Bridget bought 10 bags of beans. There are b beans in each bag. Write an expression that shows how many beans Bridget bought.
HELP! solve the set of equations. SHOW ALL STEPS
Answer:
Step-by-step explanation:
sub 3x+20 into x²+2x
3x+20=x²+2x
x²-x-20
=(x-5)(x+4)
x=5,-4
Plus x values into y=3x+20
When x=5
y=33
When x=-4
y=8
when x=5 y=33
and when x=-4 y=8
Hope it helps!!
Solving equations and the distributive property
Answer:
x=3
Step-by-step explanation:
6(4x+1) = 78
Distribute
24x+6 = 78
Subtract 6 from each side
24x +6-6 =78-6
24x = 72
Divide each side by 24
24x/24 = 72/24
x =3
Answer:
x = 3
Step-by-step explanation:
6 (4x + 1) = 78
4x + 1 = 78 ÷ 6
4x + 1 = 13
4x = 13 - 1
4x = 12
x = 3
A tennis ball has a diameter of 3 inches to the nearest tenth find the number of cubic units the tennis ball occupies
Answer:
14.1 in³
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³. Here the radius (r) is half the diameter, that is, half of 3 inches, or 1.5 inches.
Thus, the volume of the ball / sphere is V = (4/3)π(1.5 inches)³. Find (1.5 inches)³ on a calculator (it is 3.375 inches³). Then multiply this result by (4/3)π:
V = (4π/3)(3.375 inches³) = 14.1 in³
Final answer:
To find the number of cubic units the tennis ball occupies, calculate its volume using the formula V = (4/3) * π * r^3, where r is the radius. The tennis ball occupies approximately 0.157 cubic feet of space.
Explanation:
To find the number of cubic units the tennis ball occupies, we need to calculate its volume. The volume of a sphere can be found using the formula V = (4/3) * π * r^3, where r is the radius. The diameter of the tennis ball is 3 inches, so the radius is half of that, or 1.5 inches. Converting to the nearest tenth, we have a radius of 1.5 inches = 0.15 feet.
Substituting this value into the volume formula, we get V = (4/3) * π * (0.15)^3 = (4/3) * π * 0.0375 = 0.157 cubic feet. Therefore, the tennis ball occupies approximately 0.157 cubic feet of space.
A right triangle has one leg with a length of 10 m and another left with a length of
12 m. What is the length of the third side of the triangle?
OA) 22 meters
OB) 15.6 meters
OC) 6.6 meters
D) 2 meters
Answer:
B) 15.6
Step-by-step explanation:
Pythagorean thm: [tex]a^{2} +b^{2} =c^{2} \\[/tex]
Substitute each of the lengths for the legs like so:
[tex]10^{2} +12^{2} = c^{2}[/tex]
then expand the exponent and you will get c= 15.62
The area of the rectangular garden is 38 1/4 square meters the width of the garden is 4 1/2meters find the length of the garden
Answer:
Area = Length * Width
38 1/4 = L * 4 1/2
L = (38 1/4)/(4 1/2) = (153/4)/(9/2) = (153 * 2)/(4 * 9) = 17 1/2
Step-by-step explanation:
I need help with this graph
Answer:
D. The scuba diver was 35 meters below the surface when she started her ascent
Answer:
D) The scuba diver was 35 meters below the surface when she started her ascent
Step-by-step explanation:
It's not A, it looks like it at first but then if you follow through you'll see that it's not the case
1. Two vehicles arrive at an uncontrolled
intersection from different streets at the
same time
a. The driver on the night must yield to the
vehicle on the left
b. The driver on the left must yield to the vehicle
on the right
c. Both vehicles must stop.
d. Neither vehicle must stop.
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
The high scores from last week on a video game at an arcade are represented in the box plot below.
What is the interquartile range of the scores?
Give a known data point from the box plot that represents a striking deviation in the data.
Answer:
What is the interquartile range of the scores? 30
Step-by-step explanation:
Give a known data point from the box plot that represents a striking deviation in the data. 65
Answer:
What is the interquartile range of the scores?
30
Give a known data point from the box plot that represents a striking deviation in the data.
-20
Step-by-step explanation:
Cost of a bicycle: $500.00
Markup: 15%
What’s the selling price:
Answer:
Step-by-step explanation:
Markup price= 15% of 500
[tex]=\frac{15}{100}*500\\\\=15*5\\[/tex]
= $ 75
Selling price = 500 + 75 = $ 575.00
What is the length of the base of a right triangle with an area of 20 m and a height of 4 m?
Next
Answer: 5 m
Step-by-step explanation:
height x base = area
4x=20
x=20÷4
x=5
base= 5m
Which relationship describes angles 1 and 2 select EACH correct answer
Answer:
Supplementary Angles, because according to definition: Supplementary angles are the pair of angles that add to 180º.
Answer:
adjacent, supplementary
Step-by-step explanation:
The angles have one common side but no common interior points, so they are adjacent angles.
Also, they form a linear pair whose measures has a sum of 180 degrees, so they are supplementary angles.
What is the average rate of change over the interval between x = 0 and x = 3 of
the function y= 2^x.
Answer:
7/3
Step-by-step explanation:
fb - fa / b - a
which is b=3,a=0
Find the area of the shape shown below
Add the top and bottom together, divide by 2, then multiply by the height:
Area = (7.5 + 2.5)/2 x 2.5
Area = 10/2 x 2.5
Area = 5 x 2.5
Area = 12.5 square units.
The chorus needs to raise $2,620.00 for a trip to the state competition. They are selling sets of candles for $25.00 per set. They have already raised $1,225.00 from the fundraiser.
The band needs to raise $2,400.00 to pay for a trip to the state capital to participate in a parade. They are selling 3-gallon tubs of caramel popcorn for $18.25 each. They have already raised $1,314.00 from the fundraiser.
If both are going to meet their goals, from this point on the
needs to sell blank
more items from their fundraiser than the blank
needs to sell from their fundraiser.
Answer:
The band needs to sell 4 more items from their fundrasier than the chorus needs to sell for their fundraiser.
Step-by-step explanation:
First we have to see how far each of the groups are from completing their goal.
For chorus, we get 2620-1225=1395 dollars.
For band, we get 2400-1314=1086 dollars.
Now, we see how long it takes for them to get to their goals.
For chorus, we get 1395/25 = 55.8. because they can't sell 0.8 of a set of candles, it round up to 56 candles.
For band, we get 1086/18.25 ≈ 59.5. because they can't sell half of a 3 gallon tubs of caramel popcorn, they have to sell 60.
So, when both of the funraisers meet their goals, the band needs to sell 4 more items from their fundrasier than the chorus needs to sell for their fundraiser.
the area of a circle is 36 pie cm^2 what is the radius of the circle?
Answer:
6cm
Step-by-step explanation:
To break down the steps back to radius, the formula is placed reversely in [tex]\pi r^{2}[/tex]
Since 36 is without pie, square root is needed.
[tex]\sqrt{36}[/tex]=6
Therefore, 6 cm is the radius.
Answer:
Step-by-step explanation:
hello :
the area is : A=πr² r : the radius
36π = πr² means : r²=36 so : r= 6
Look at the image to answer.
The correct answer is D
since 3.2222... is a repeating number, it is rational
0.112123123412345 is not repeating and doesn't have a cosistent pattern, so it isn't rational
1.589 is rational because this decimal stops and doesn't continue- it can also be written as a fraction ( [tex]\frac{1589}{1000}[/tex] )
An online media service offers video and music downloads. Each download of a song costs $1.50. Each download of a video costs 2 times as much as the song download. You have a credit of $60. How many songs can you purchase after buying 15 videos?
Answer:10
Step-by-step explanation:
if a song costs $1.50 and a video is 2 times that amount of a song, then the video would cost $3. you have a balance of $60. you by 15 videos to start. i multiplied $3 by 15 to get the cost of the movies, witch is $45. after i got the cost of the movies i subtracted the $45 from the over all amount, i got 15. now to the songs. i have $15 to get music. 2 songs costs $3( 1.50+1.50= 3.00). 4 songs would cost $6. 8 songs would cost $12. after that i just added 1.50 until i hit a total of 15. so you can get 10 songs for $15
After buying 15 videos, you can purchase 10 songs with your $60 credit. Each video costs $3.00 and each song $1.50. After buying the 15 videos for $45, you have $15 left for songs.
Explanation:The subject matter of this question falls under Mathematics, specifically operations involving money and elementary algebra. This kind of problem is typically encountered by middle school students, hence the grade level.
In order to answer the question, here's a step by step solution: First, we need to know the cost of downloading a video. Since each download of a video costs 2 times as much as the song download, and the song download costs $1.50, then the video download costs 2 * $1.50 = $3.00. If you plan to buy 15 videos, the total cost would be 15 videos * $3.00/video = $45.00.
Subtracting this amount from your $60 credit, you'll have $60 - $45 = $15 left. Given that the cost of a song download is $1.50, you can therefore purchase $15 / $1.50/song = 10 songs.
So, after buying 15 videos, you can still purchase 10 songs with your $60 credit.
Learn more about Math Budgeting here:https://brainly.com/question/30478565
#SPJ12
You decide to buy a particular gaming console for $500 from a gaming store. You
will also need to pay 9.5% sales tax. WHAT WILL YOUR FINAL PURCHASE PRICE
BE, INCLUDING TAX?*
Answer:
Step-by-step explanation:
Cost = $500
Tax = 9.5%
Total amount spent =
5 x 9.5
= 47.5 + 500
= $547.5
The smaller box he is holding a canister of gummy bears that has a diameter of 6 inches and is 10 inches tall. What is the volume of the canister that Freddie is holding?
IDKK CAN SOMEONE PLEASE HELP ME
Answer:
90pi [tex]in^{3}[/tex] or about 282.74 [tex]in^{3}[/tex]
Step-by-step explanation:
Volume is found by base area times height (B*h).
6/2 = 3
3^2 = 9
B: 9pi
9pi*1- = 90pi [tex]in^{3}[/tex] or about 282.74 [tex]in^{3}[/tex]
Answer:
282.6 in³
Step-by-step explanation:
Radius = 6/2 = 3
Volume = pi × r² × h
3.14 × 3² × 10
282.6 in³
Which statement best describes the expression (5 x 3 − 12) x 8? Subtract the product of 5 and 3 from the product of 12 and 8. Multiply the difference of 12 and 8 by the product of 5 and 3. Multiply the difference of 5 and 3 by 8, then subtract 12. Subtract 12 from the product of 5 and 3, then multiply by 8.
Answer:
Subtract 12 from the product of 5 and 3, then multiply by 8.
Explanation:
This is the only answer that accurately describes the given expression.
I hope this helps! ☺
The statement that describes the expression ( 5 x 3 - 12 ) x 8 is:
Subtract 12 from the product of 5 and 3, then multiply by 8.
Given,
( 5 x 3 - 12 ) x 8
We need to find the best statement that describes this expression.
What is the meaning of the mathematical terms?Let A and B be any numbers.
Subtract:
= A - B
Multiply:
= A x B
Product:
= A x B
Difference:
= A - B
Find the statement that describes ( 5 x 3 - 12 ) x 8.
We have,
5 x 3 = 15
This is the product of 5 and 3.
5 x 3 - 12
This is the subtraction of 12 from the product of 5 and 3.
Or
The difference between the product of 5 and 3 and 12
(5 x 3 - 12 ) x 8
This is subtract 12 from the product of 5 and 3, then multiplying by 8.
Thus the statement that describes the expression ( 5 x 3 - 12 ) x 8 is:
Subtract 12 from the product of 5 and 3, then multiply by 8.
Learn more about how to write a statement that describes an expression here:
https://brainly.com/question/3409544
#SPJ2
Amy invests $75 a month in an annuity that earns 3% APR and is
compounded monthly. What is the future value of Amy's account in 5 years?
Answer: $4,848.51
Step-by-step explanation:
A P E X
Answer:4848.51
Step-by-step explanation:
In the figure above, AB is tangent to the circle with center O
at point A.
if AOB has a measure of 68 degrees, what is the measure, in degrees,of ABO?
Given:
Given that O is the center of the circle.
AB is tangent to the circle.
The measure of ∠AOB is 68° and we know that the tangent meets the circle at 90°
We need to determine the measure of ∠ABO.
Measure of ∠ABO:
The measure of ∠ABO can be determined using the triangle sum property.
Applying the property, we have;
[tex]\angle ABO+\angle BAO+\angle AOB=180^{\circ}[/tex]
Substituting the values, we get;
[tex]\angle ABO+90^{\circ}+68^{\circ}=180^{\circ}[/tex]
Adding the values, we have;
[tex]\angle ABO+158^{\circ}=180^{\circ}[/tex]
Subtracting both sides by 158, we get;
[tex]\angle ABO=22^{\circ}[/tex]
Thus, the measure of ∠ABO is 22°
For the pie chart shown, how many people with less than a 9th grade education earned less than $35,000 if the total number of
people surveyed was 91,841,000?
A 11,939,330
B 47,757,320
C 68,880,750
D 79,901,670
Answer:
The answer is D
What are the factors of x^2 + 3x – 4?
0
(x + 4) and (x – 4)
(x + 3) and (x – 4)
(x + 4) and (x - 1)
(x + 3) and (x - 1)
so the right answer is (x+4) and (x-1).
Look at the attached picture⤴
Hope it will help u...
How many miles does the plane need to travel from Dallas to reach its destination in New york
Answer:
1380 miles
Step-by-step explanation:
Find an equation of the vertical line through (-6,6). If possible, write a formula for a linear function whose graph is the given line
The equation for a vertical line passing through (-6,6) is x = -6. However, this line cannot be represented by a formula for a linear function in the form y = mx + b, as a vertical line has an undefined slope.
Explanation:A vertical line in a coordinate plane, such as the one passing through point (-6,6), has an equation format of x = c where c represents a constant value. In this particular case, as the line passes through the x-coordinate of -6, the equation of the vertical line is x = -6.
As for creating a formula for a linear function whose graph is this given line, that is not possible. Linear functions can be represented by the slope-intercept form "y = mx + b" where m represents the slope and b is the y-intercept. However, a vertical line does not have a slope (it is considered undefined or infinite), and therefore can't be represented as a linear function in this form.
Learn more about Equation of Vertical Line here:https://brainly.com/question/35538331
#SPJ2
Find the equation of the line that is perpendicular to y = 2x + 8 and passes though the point (8, –8).
Answer:
y= -1\2x-4
Step-by-step explanation:
y=mx+c
perpinicular means you flip the slop and change the sign so the slope(m) become -1\2
y=-1\2x+c
since he gives you (8,-8) meaning x=8 and y= -8
we substitute
-8=(-1\2 x 8) +c
now we isolate c
-8+4=c
c=-4
the equation will be
y= -1\2x-4