Using it's concept, it is found that the average rate of change of the function over the interval [4,13] is given by:
[tex]\frac{4}{9}[/tex]
What is the average rate of change of a function over an interval?It is given by the change in the output divided by the change in input.
In this problem, we have points (4,8) and (13,12), hence the rate of change is given by:
r = (12 - 8)/(13 - 4) = 4/9.
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Answer:
B
Step-by-step explanation:
4/13
9x^2+4y÷z when x=2/3, y=3, and z=6
Answer:
6
Step-by-step explanation:
[tex]\text{From the question...}\\9x^2 + 4y \div z\\x = \frac{2}{3}\\y = 3\\z = 6\\\\\text{Substitute in values}\\9(\frac{2}{3})^2 + 4(3) \div (6)\\\\\text{Following the rules of BODMAS or PEMDAS}\\9(\frac{4}{9}) + 12 \div 6\\4 + 2\\6[/tex]
Which graph represents the solution set of this inequality? -2x + 7 < 23
Answer:
-2x < 23-7
-2x < 16
-2x÷-2 < 16 ÷ -2
x > -8
a ball is dropped from a height of 6 metres. suppose the ball rebounds 2/3 of the height from which it falls. find total distance travelled by ball
Answer:
10 meters.
Step-by-step explanation:
We know the ball travelled a distance of at least 6 meters as that is how far it was dropped.
It rebounded 2/3 of 6 meters, which is 4 meters.
6 meters add 4 meters is 10 meters.
Question 11 of 25
Does this table represent a function? Why or why not?
X
y
2
1
4
3
6
3
8
4
10
6
A. Yes, because all of the x-values correspond to one or more
y-values.
B. No, because one x-value corresponds to two different y-values.
C. Yes, because every x-value corresponds to exactly one y-value.
Answer: Let's put the chart into ordered pairs:
(x, y)
(2,1)
(3,4)
(3,3)
(4,2)
(5,5)
In bold, we see that there are two y-values at x=3. This means that this relation fails the vertical line test (two points on the same verticle line). This is not a function.
The answer options may be mis-written.
The answer is no, because one x value corresponds to more than one y-value.
Have a great day!
and night..
;).
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the area of the base is 5.5\text{ cm}^25.5 cm
2
and the height of the pyramid is 6.4\text{ cm}6.4 cm. round your answer to the nearest tenth of a cubic centimeter.
Answer:
17.3 cm³
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = 1/3Bh
where B is the area of the base, and h is the height.
__
The volume of a square pyramid with base area 5.5 cm² and height 6.4 cm is ...
V = 1/3(5.5 cm²)(6.4 cm) ≈ 17.333... cm³
The volume of the pyramid is about 17.3 cm³.
Find the volume for this figure. Use 3.14 for (pie)
A)1,656 mm
B) 1,092 mm
C) 1,250 mm
D) 1,800 mm
Answer:
the andswer there is D
Step-by-step explanation:
just think of it as a cylinder and a square
put both circular parts together and you have a cylinder with the diameter of 12 and a height of 7 and find the volume of that which is πr²h so π 6² 7
then the volume of your rectangular prism is the length times width times height so 12 by 12 by 7
Darnel drew a scale drawing of a swimming pool. the scale he used was 14 centimeters : 5 meters. if the actual width of the pool is 10 meters, how wide is the pool in the drawing? '
Answer:
28cm
Step-by-step explanation:
Given that;
14cm = 5m
x = 10m
cross multiply
5x = 140
divide both side by (5)
[tex] \frac{5x}{5} = \frac{140}{5} [/tex]
:- x = 28cm
Please help me thanks!
Answer:
The Surface area will double and the volume will triple.
Step-by-step explanation:
This is because the dimensions will cause the shape to double in surface area and triple in volume as surface area is in a two-dimensional space while volume is in a 3-dimensional plane.
Answer:
See below ~
Step-by-step explanation:
Subpart (h) :
⇒ By doubling the dimensions of a rectangular prism, the surface area becomes 2 times the original value
===========================================================
Subpart (i) :
⇒ By doubling the dimensions of a rectangular prism, the volume becomes 8 times the original value
jane has 3 apples julio has 4 apples and 2 bananas jesse has 4 bananas and 10 apples how many apples are there in all if they a put all fruit in a basket
Did I solve this problem correctly?
Answer:
yes
Step-by-step explanation:
What is the surface area?
4 m
5 m
12m
Answer:
Where is the picture of the surface area?
Step-by-step explanation:
I need the picture in order for me to help your question.
Round your answers to the nearest tenth.
B
a
15
b
47°
B =
a =
b =
Answer:
B = 43°
a = 11.0
b = 10.2
Step-by-step explanation:
The relationship between side lengths and trig functions in a right triangle is summarized in the mnemonic SOH CAH TOA. It tells you, for example, ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
__
Applied to this triangle, the unknown sides can be found from ...
sin(47°) = a/15
a = 15·sin(47°) ≈ 11.0
and
cos(47°) = b/15
b = 15·cos(47°) ≈ 10.2
__
The second acute angle in a right triangle is the complement of the first:
B = 90° -47° = 43°
The ratio 5 girls to 3 boys in couris . there are 24 boys how many many girls are there
Answer:
40
Step-by-step explanation:
24 divided by 3 is 8. 8 multiplied by 5 is 40.
Write a quadratic equation that has only one real-number solution
The equation that has only one real number solution is
4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
If the quadratic equation has only one solution, then
[tex]\rm b^2 - 4ac = 0[/tex] or
[tex]\rm b^2 = 4ac[/tex]
[tex]\rm x = \dfrac{-b}{2a}[/tex]
2ax = - b
(2ax+b) = 0
(2ax+b)² = 0 (square on both sides)
[tex]\rm 4a^2x^2 + 4abx+ b^2 = 0[/tex]
Thus, the equation that has only one real number solution is
4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.
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SOMEBODY HELP ME PLEASE
Answer:
68
Step-by-step explanation:
the interior angles of a triangle always adds up to 180. So if you add 59 and
53 together you would get 112. Then subtract that from 180 and you would get 68.
which transformation would take figure a to figure b
7. algebra sara allen is interested in buying a notebook
computer. if she buys the computer this week, she will
save $150.00 while it is marked down 16%. if she buys the
computer next week, she will pay the regular selling price.
what is the regular selling price?
A percentage is a way to describe a part of a whole. The regular selling price of the computer notebook will be $937.5.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the selling price of the computer notebook be represented by x.
Now, if Sara buys the computer this week, the selling price of the computer will be (100%-16%)x = 0.84x.
Also, the saving she made by buying this week will be $150, therefore, we can write,
x-0.84x = $150
0.16x = $150
x = 937.5
Hence, the regular selling price of the computer notebook will be $937.5.
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I NEED HELP ASAP PLEASE
Answer:
10, 20, 15
Step-by-step explanation:
10 is the lowest so that leaves the mean and range well the range is the highest value minus the lowest and the range is 10 so 20-10=10
so we now have 10 and 20 so then what number divided by three as in three darts equals 15 I go down the list and I get 45/3 and it equals 15
Need help please answer ASAP!
#10
x²-9x²-3²(x+3)(x-3)Option A and B
#11
√9a²+16a²√a²(9+16)√a²(25)√5²a²5aOption C
Answer:
10. (2) x - 3
11. (3) 5a
Step-by-step explanation:
Question 10
x² - 9 = (x + 3)(x - 3)x² - 5x + 6 = (x - 3)(x + 2)x - 3 is a common factor(2) x - 3Question 11
Simplifying
√9a² + 16a²√a² (9 + 16)a√25(3) 5aQuestion 6(Multiple Choice Worth 5 points) (06.03 LC) What happened to Gautama after he sat under a fig tree and meditated for several weeks? He discovered ahimsa. He became a vegetarian. He founded Jainism. He was enlightened.
Answer: B
Step-by-step explanation: hope this helps
Answer:
He was enlightened
Step-by-step explanation:
There was a list of things he did to become Buddha
Lives like a prince
Is depressed by the suffering he sees outside the palace
Is impressed by how contented a holy man is
Decides to give up a life of pleasures and comforts
Wanders across India looking for the end of suffering
Sits down under a tree and meditates for several weeks
Gains enlightenment
Please answer this! I could not figure it out. Neither could my classmates.
Answer:
[tex]\sf \boxed{\sf D) \ \sf -\frac{5}{3} }[/tex]
Explanation:
[tex]\rightarrow \sf 3x - 5y = -10[/tex]
[tex]\rightarrow \sf - 5y = -10-3x[/tex]
[tex]\rightarrow \sf y = \dfrac{-10-3x}{-5}[/tex]
[tex]\rightarrow \sf y= \dfrac{3}{5} x+2[/tex]
Comparing it with slope intercept formula: y = mx + b
where m is the slope, b is y interceptIdentify the slope for this function:
[tex]\cdot \ \sf slope \ (m) : \dfrac{3}{5}[/tex]
Then perpendicular slope shall be negatively inverse:
[tex]\sf perpendicular \ slope = -(m)^{-1} \quad = \quad -(\dfrac{3}{5} ) ^{-1} \quad = \quad -\dfrac{5}{3}[/tex]
Answer:
D
Step-by-step explanation: i got it right
h(n)=63⋅(− 3 1 ) n h, left parenthesis, n, right parenthesis, equals, 63, dot, left parenthesis, minus, start fraction, 1, divided by, 3, end fraction, right parenthesis, start superscript, n, end superscript Complete the recursive formula of h(n)h(n)h, left parenthesis, n, right parenthesis.
The recursive function is h(n) = -1/3h(n - 1) where h(0) = 63
How to complete the recursive function?The function is given as:
[tex]h(n) = 63* (-\frac{1}{3})^n[/tex]
Set n to 0
[tex]h(0) = 63* (-\frac{1}{3})^0[/tex]
Evaluate
h(0) = 63
This means that the function h(n) has the following parameters:
First term = 63
Rate = -1/3
Hence, the recursive function is h(n) = -1/3h(n - 1) where h(0) = 63
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Determine the interval (s) on which the given function is increasing
Answer:
[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]
Step-by-step explanation:
A function is increasing when its gradient is positive (so y-coordinates are increasing).
We have a graph, rather than a function given to us, so we don't need to use any calculus.
Looking at the graph, we can see that before x=0, the graph is going up (gradient is increasing).
Between x=0 and x=1, the function is decreasing.
After x=1, the function is increasing again.
We can use mathematical notation to express this.
[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]
Or
[tex]x < 0\ \text{and}\ x > 1[/tex]
A function assigns the values. The interval on which the given function is increasing is (-∞,0)∩(1,∞).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
For the given functions graph, the interval on which the given function is increasing is the interval of the function where the slope of the function is positive. Therefore, the interval of the function on which the given function is increasing is (-∞,0) and (1,∞). The interval for the given function can also be written as (-∞,0)∩(1,∞).
Hence, the interval on which the given function is increasing is (-∞,0)∩(1,∞).
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Solve for x. Round your answer to the nearest tenth if necessary.
Answer:
15.9
Step-by-step explanation:
x^2 + 6^2 = 17^2
x squared + 36 = 289
-36 -36
x squared = 253
[tex]\sqrt{x}[/tex] = [tex]\sqrt{x}[/tex]253
x = 15.9
Answer:
18.0
Step-by-step explanation:
17^2+6^2= 289 + 36=325
The square root of 325 is 18.02 and when you round 18.02 to the nearest tenth it would give you an answer of 18.0.
Need help asap please explain
The sum of the first six terms of the geometric sequence 1, 2, 4, 8, ... is equal to the sum of
the first six terms of an arithmetic sequence that also has 1 as its first term. What is the
fifth term of the arithmetic sequence?
Answer:
Step-by-step explanation:
sum of first six terms of given G.P.=1+2+4+8+16+32=63
let d be c.d. of A.P.
first six terms are 1,1+d,1+2d,1+3d,1+4d,1+5d
1+1+d+1+2d+1+3d+1+4d+1+5d=63
6+15d=63
15d=63-6=57
divide by 3
5d=19
d=19/5=3.8
fifth term=1+4d=1+3.8*4=1+15.2=16.2
What is the volume of this object?
Top View
2u
2u
pls I need help lol
Answer:
15 u³
Step-by-step explanation:
Volume = width × length × height
Given:
width = 2ulength = 2 ¹/₂ uheight = 3u⇒ Volume = 2u × 2 ¹/₂ u × 3u
= 15 u³
[tex]\underline{\tt{❖ \: Given \: \: ❖}}[/tex]
[tex] \sf \: length =2 \dfrac{1}{2}u[/tex][tex] \sf \: width =2u[/tex][tex] \sf \: height =3u[/tex]given figure
[tex] \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \\ \: \: \: \: \: \: \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \sf \: 2u \\ \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \\ \sf \: 2 \dfrac{1}{2}u[/tex]
[tex]\underline{\tt{❖ \: To \: find \: ❖}} [/tex]
volume of this object[tex]\underline{\tt{❖ \: Using \: formula \: ❖}} [/tex]
[tex] \sf \: volume = width \times length \times height[/tex][tex]\underline{\tt{❖ \: Solution \: ❖}} [/tex]
we have,
[tex]\sf \: volume = width \times length \times height[/tex]
[tex]\sf \: volume = 2u \times 2 \dfrac{1}{2}u \times 3u[/tex]
[tex]\sf \: volume = 2u \times \dfrac{5}{2}u \times 3u[/tex]
[tex]\sf \: volume = \cancel2u \times \dfrac{5}{ \cancel2}u \times 3u[/tex]
[tex]\sf \: volume = u \times 5u \times 3u[/tex]
[tex]\sf \: volume = 15u {}^{3} [/tex]
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Find the distance between points p(6, 2) and q(-3, 8) to the nearest tenth.
Answer:The distance is 10.8
Step-by-step explanation:
y is directly proportional to the square root of x, y is 75 and x is 100. find a formula linking x and y
Answer:
y = 7.5[tex]\sqrt{x}[/tex]
Step-by-step explanation:
given y is directly proportional to [tex]\sqrt{x}[/tex] then the equation relating them is
y = k[tex]\sqrt{x}[/tex] ← k is the constant of proportion
to find k use the condition y = 75 , x = 100 , then
75 = k[tex]\sqrt{100}[/tex] = 10k ( divide both sides by 10 )
7.5 = k
y = 7.5[tex]\sqrt{x}[/tex] ← equation of proportion
calculate the maximum mass of copper thar could be produced
from 4.0 g of copper oxide
So, 3.55 g of copper could be made from 4 g of copper oxide.
The formula for copper oxide to convert to copper is a chemical equation Cupric oxide, or copper (II) oxide, is an inorganic compound with the chemical formula CuO.
Line AZ is tangent to circle V. What is the measure of angle YWZ?
Answer: 54 degrees
Step-by-step explanation:
Since AZ is tangent to circle V, it forms a 90 degree angle with the circle. If you compare XW with AZ, you can see they are perpendicular to each other. Angle W has already been found, and it's 36 degrees.
So if you subtract 90 by 36, it gives you YWZ, 54 degrees.