Hey please please please please please help have a Struggling with this all day
I really need help on this!! God bless you!!
Given the function
h
(
x
)
=
x
2
−
7
x
+
7
h(x)=x
2
−7x+7, determine the average rate of change of the function over the interval
2
≤
x
≤
9
2≤x≤9.
The average rate of change of the function h(x) = x² - 7x +7 over the interval 2 ≤ x ≤ 9 is 4.
Explanation:The average rate of change for a function is determined by the difference in y values divided by the difference in x values over a specified interval. In this case, the function is h(x) = x² - 7x + 7, and the interval is 2 ≤ x ≤ 9. First, we calculate h(2) and h(9) for the y values.
h(2) = (2)² - 7(2) + 7 = 4 - 14 + 7 = -3
h(9) = (9)² - 7(9) + 7 = 81 - 63 + 7 = 25
Then, apply the formula for average rate of change which is (h(9) - h(2)) / (9 - 2).
(25 - (-3)) / (9 - 2) = 28 / 7 = 4
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Which word best describes the numbers 10 and –10?
Opposites
Coordinate
Absolute Value
Expression
A passenger train and a freight train leave San Jose at 3 p.m., traveling in the same direction. The passenger train is going three times as fast as the freight train. At 6 p.m. they are 240 miles apart. How fast is each travelling?
There is a 3 hour difference in travel time.
So if x is the speed of the freight train and distance is 240 miles...
3(3x)-3x=240
9x-3x=240
6x=240
x=240/6
x= 40mph for the freight train..
passenger train is 3 times faster than the freight..
3×40=120mph
If SinA = 2/3, find the value of 2 secA/1+ tan2A
The graph of the function f(x)=3/x+5 is shown below.
What is the vertical asymptote of the function?
A. x = –5
B. x = –3
C. x = 3
D. x = 5
A is the answer
The vertical asymptote of the function f(x) = (3/x) + 5 is A. x = - 5
What are asymptotes?A line that, in analytical geometry, is an asymptote of a curve is one where, when one or both of the x or y coordinates go to infinity, the distance between the curve and the line approaches zero. An asymptote of a curve is a line that is tangent to the curve at a point at infinity in projective geometry and similar contexts.
By observing the graph we can conclude that the asymptote or more specifically the vertical asymptote of the function f(x) = (3/x) + 5 is at x equals to - 5.
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The sun of 2 and 3 is less than y.
ANY NICE PERSON WANA SOLVE DIS?
3 sqrt 125x^10y^13+^3 sqrt 27x^10y^13
Answer:
Simplify each term.
Rewrite 125x10y13 as (5x3y4)3(xy).
Step-by-step explanation:
5x3y43√xy+3√27x10y13
Rewrite 27x10y13 as (3x3y4)3(xy).
Add 5x3y43√xy and 3x3y43√xy to get 8x3y43√xy.8x3y43√xy
i think.
The required simplified solution of the given expression is [tex]135x^{10}y^{13}\sqrt{15}[/tex].
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
[tex]= 3\sqrt{125x^{10}y^{13}}.3\sqrt{27x^{10}y^{13}}[/tex]
Simplifying
[tex]= 9x^{10}y^{13}[\sqrt{125}.\sqrt{27}} ]\\= 9x^{10}y^{13} \times 5\times3\sqrt{5}.\sqrt{3}\\=135x^{10}y^{13}\sqrt{15}[/tex]
Thus, the required simplified solution of the given expression is [tex]135x^{10}y^{13}\sqrt{15}[/tex].
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20 points and Brainliest if answered and explained!
Triangle ABC has the angle measures shown.
m∠A= (2x)°
m∠B= (3x)°
m∠C= (4x)°
Which statement is true about the angles?
A) m∠A= 20°
B) m∠B= 60°
C) ∠A and ∠B are complementary
D) m∠A+m∠C= 100°
Answer: The actual answer to the question is m<A=20° (:
Step-by-step explanation:
The angles of a triangle are 28 degrees, 34 degrees, and x degrees. What is the value of x?
This is LCM and GCF I think
Which expression finds the length of side x in this right triangle
Answer:the top right
Step-by-step explanation:
Hannah wants to compare the densities (the ratios of mass to volume) of different brands of gelato. What would be an appropriate unit for Hannah's purpose?
choose 1 answer
A
dollars per gram
B
grams per milliliter
C
liters per kilogram
D
liters per dollar
The diameter of an ancient chariot wheel is 2 meters. What is the approximate distance the chariot travels if the wheel rotates 120 times? Assume the wheel does not slip.
1,506.4 meters
753.6 meters
376.8 meters
240 meters
The approximate distance the chariot travels is 753.6 meters.
What is the distance the chariot travels?
The distance the chariot travels in one journey is equivalent to the circumference of the wheel.
Circumference of a circle = πD
Distance in 120 trips = πD x 120
3.14 x 2 x 120 = 753.6 meters.
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Which side lengths form a right triangle?
Choose all answers that apply:
(Answers in picture)
Option (C). 2, 2, √8, forms a right triangle.
Explanation:A right triangle is a triangle that has one angle measuring 90 degrees.
According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Therefore, to determine if a set of side lengths forms a right triangle, we can check if the sum of the squares of the two shorter sides is equal to the square of the longest side.
Option A: 4, 8, 12Based on the calculations above, only option C, 2, 2, √8, forms a right triangle.
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The correct answer is: C. [tex]\(2, 2, \sqrt{8}\)[/tex]
Step 1
To determine which sets of side lengths form a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Step 2
Let's check each option:
A. [tex]\(4, 8, 12\)[/tex]
- [tex]\(4^2 + 8^2 = 16 + 64 = 80\)[/tex]
- [tex]\(12^2 = 144\)[/tex]
- [tex]\(80 \neq 144\)[/tex]
Therefore, option A does not form a right triangle.
Step 3
B.[tex]\(2, 3, \sqrt{5}\)[/tex]
- [tex]\(2^2 + 3^2 = 4 + 9 = 13\)[/tex]
- [tex]\((\sqrt{5})^2 = 5\)[/tex]
- [tex]\(13 \neq 5\)[/tex]
Therefore, option B does not form a right triangle.
Step 3
C. [tex]\(2, 2, \sqrt{8}\)[/tex]
- [tex]\(2^2 + 2^2 = 4 + 4 = 8\)[/tex]
- [tex]\((\sqrt{8})^2 = 8\)[/tex]
- [tex]\(8 = 8\)[/tex]
Therefore, option C forms a right triangle.
An arrow shot into the air is 160t -16^2 feet above the ground t is seconds after it is released. During what period of time is the arrow above 384 feet?
HEEELLLLPPPPP PPPPLLLEAASE I GIVE BRAINLIST!
a varies directly as b and inversely as the square of c. If a = 197 when b = 5 and c = 5, find a if b = 3 and c = 3
Final answer:
The value of 'a' is found to be approximately 328.33 when b = 3 and c = 3, using the constant of proportionality obtained from the given values a = 197 when b = 5 and c = 5.
Explanation:
When a quantity varies directly as another quantity and inversely as the square of a third quantity, we can express this relationship with the following equation:
a = k x (b / c2)
where k is the constant of proportionality. Given that a = 197 when b = 5 and c = 5, we can solve for k:
197 = k x (5 / 52)
197 = k x (5 / 25)
197 = k / 5
k = 197 x 5
k = 985
Now we can use this value for k to find a when b = 3 and c = 3:
a = 985 x (3 / 32)
a = 985 x (3 / 9)
a = 985 x (1/3)
a = 328.333...
Hence, the value of a, when b = 3 and c = 3, is approximately 328.33.
NEED HELP ASAP need help with number 2
The picture below shows a container that Sue uses to freeze water: A cylinder is shown with base diameter of 4 centimeters and the height as 6 centimeters. What is the minimum number of identical containers that Sue would need to make 2,000 cm3 of ice? (Use π = 3.14.) (1 point) 12 18 27 7
Answer:
[tex]27\ containers[/tex]
Step-by-step explanation:
step 1
Find the volume of one container (cylinder) is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=4/2=2\ cm[/tex] -----> the radius is half the diameter
[tex]h=6\ cm[/tex]
substitute
[tex]V=(3.14)(2^{2})(6)=75.36\ cm^{3}[/tex]
step 2
By proportion
Find the the minimum number of identical containers that Sue would need to make [tex]2,000\ cm^{3}[/tex] of ice
[tex]\frac{1}{75.36}=\frac{x}{2,000}\\ \\x=2,000/75.36\\ \\x= 26.5\ containers[/tex]
Round to the nearest whole number
[tex]26.5=27\ containers[/tex]
Answer: 27
Step-by-step explanation:
Given: The height of the cylindrical container = 6 cm
Diameter of container = 4 cm
Then the radius of the container = [tex]\frac{4}{2}=[/tex]2 cm
Now, the volume of the cylindrical container is given by :-
[tex]\text{Volume}=\pi r^2 h\\\\\Rightarrow\text{Volume}=(3.14)(2)^2(6)=75.3982236862\approx75.4\ cm^3[/tex]
Now, the minimum number of identical containers that Sue would need to make 2,000 [tex]cm^3[/tex] of ice is given by:-
[tex]\frac{2000}{75.4}=26.525198939\approx27[/tex]
Hence, the minimum number of identical containers that Sue would need to make 2,000 [tex]cm^3[/tex] of ice is 27.
Wilma bought a skateboard for 20% off. The normal price was 120.90. How much did Wilma pay for the skateboard, not including tax?
1) $96.72
2) $97.82
3) $98.92
4) $99.02
Elevators have safety limits for how much weight they can lift. The elevator at the Terrace Hotel can hold up to 2,100 pounds. write an equation or inequality that represents the allowable weight on the elevator at the Terrace Hotel. Graph the solution to the equation or inequality you wrote on the number line. Explain your answer.
A company sells cereal in two different -sized boxes.The smaller box has the dimensions of 12-inch,2-inch and 7 3/4 i.The height of the smaller box is 80% of the height of the lager box,while the other two dimensions are the same for both boxes.What is the difference in the volumes of the two boxes?
Answer: The answer is 232.5
Step-by-step explanation:First you to set up the proportion. If 80% equals to 12. You Would do 80 over hundred becuase percent is out of hundred (80/100) then you would do 12 over x or any other variable. FROM there on you would to the butter fly method. Cross multiply . ( 80 times variable, 12 times 100) now to isolate the variable you have to do inverse operation. So now do 1200 divided by 80 . And 80 divided by 80. Now you know.
X=15.
But were no done yet lol. Now do length times width times height to get the volume. 15 times 2 times 31/4 (7 3/4) . now we're done. Your welcome
Please answer This with the Right anawer
HELP 64 POINTS
Which data set does this stem-and-leaf plot represent?
{15, 19, 19, 20, 30, 33, 39, 41, 45}
{30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}
{5, 5, 8, 8, 9, 0, 0, 3, 3, 9, 1, 5}
{ 39, 33, 15, 18, 18, 20, 3, 19, 41, 45, 18}
Key: 1|5 means 15
Answer: {30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}
Step-by-step explanation:
1. The key indicates you how to read the values of the stem-and-leaf plot. Then, 1|5 means 15.
2. Then, the first digit is written in the colum Stem and the second digit in the column Leaf.
3. Based on this information, you can write the data given in the stem-and-leaf plot, as following:
15, 15, 18, 18, 19 (The first digit is 1 and the second digit are: 5,5,8,8 and 9)
20 (The first digit is 2 and the second digit is 0)
30, 33, 33, 39 (The first digit is 3 and the second digit are: 0,3,3 and 9)
41, 45 (The first digit is 4 and the second digit are: 1 and 5)
3. Then, as you can see, the data set represented by the stem-and-leaf plot is:
{30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}
Answer:
{30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}
Lucy's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Lucy
$5.75
per pound, and type B coffee costs
$4.10
per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of
$819.55
. How many pounds of type A coffee were used?
Answer:
I think it is $204.88, but I'm not positive.
Step-by-step explanation:
819.55 divided by 4
Caitlin had used more thank 2 pounds of clay to make a jar? Would the amount remaining have been more or less than your answer to Exercise 1?
Answer:
more than my Ans
Which relationship describes angles 1 and 2?
Select each correct answer.
complementary angles
adjacent angles
supplementary angles
vertical angles
Zach is filling his dogs bowl with water. Is it reasonable to say that Zach will need about 4 gallons of water?