If the average rate of change is 18, then the value of the x is √(13/5). Then the correct option is B.
What is the average rate of change?It's an average of how far the functions changed per unit throughout that time period.
Let f be the function given by f(x) = x³ + 5x.
Then the value in the closed interval [1,3] will be
The instantaneous rate of change will be
[tex]f'(x) = 3x ^2 + 5[/tex]
Then the average rate of change will be
[tex]= \dfrac{f(3) - f(1)}{3-1} \\\\= \dfrac{(3^3 + 5\times 3) - (1^3 + 5 \times 1)}{3-1}\\\\= 18[/tex]
Then we have
3x² + 5 = 18
Then the value of x will be
[tex]\begin{aligned} \rm 3x^2 + 5 &= 18\\\\\rm x &= \sqrt{\dfrac{13}{3}} \end{aligned}[/tex]
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Pete entered a lucky draw. The probability of winning a free ticket for a soccer game is 15%. What are the ODDS AGAINST winning a free ticket to the soccer game?
3 to 17
17 to 3
3 to 20
17 to 20
Answer:
3 to 20
Step-by-step explanation:
Using the data set below, find the mean absolute deviation (MAD).
Find the distance of each data value from the mean by subtracting the mean from the data value.
Step 2: Find the absolute values of all the distances. These are the "absolute deviations."
Step 3: Find the average of the absolute deviations.
Which expression is equivalent to square root 36/25
Answer:
6/5
Step-by-step explanation:
hope this helps
Which pair of expressions has the same value?
A. (–2)(–7) and 4 + (–18)
B. (2)(7) and 4 + 18
C. (–2)(7) and 18 + (–4)
D. (2)(–7) and 4 – 18
Assuming that (-2)(-7) and 4 + (-18) are equal.
⇒ (-2)(-7) = 4 + (-18)Using the property [-x × -y = x × y = xy]:
⇒ (-2)(-7) = 4 + (-18) ⇒ (2)(7) = 4 + (-18)Using the property [x + (-a) = x - a]:
⇒ (2)(7) = 4 + (-18)⇒ (2)(7) = 4 - 18⇒ 14 = -14 (False)Option B)Assuming that (2)(7) and 4 + 18 are equal.
⇒ (2)(7) = 4 + 18⇒ 14 = 22 (False)Option C)
Assuming that (–2)(7) and 18 + (–4) are equal.
⇒ (-2)(7) = 18 + (-4)Using the property [-x × y = -xy]:
⇒ (-2)(7) = 18 + (-4)⇒ (-)(2)(7) = 18 + (-4)⇒ -14 = 18 + (-4)Using the property [x + (-a) = x - a]:
⇒ -14 = 18 + (-4)⇒ -14 = 18 - 4⇒ -14 = 14 (False)Option D)
Assuming that (2)(-7) and 4 - 18 are equal.
⇒ (2)(-7) = 4 - 18Using the property [-x × y = -xy]:
⇒ (-)(2)(7) = 4 - 18⇒ -14 = 4 - 18⇒ -14 = -14 (True)Therefore, Option D is correct.
In the circus, a lion has been trained to jump through a ring of fire that has a radius of 1 meter. What is the ring's circumference?
A circle is a curve sketched out by a point moving in a plane. The circumference of the ring of fire is 6.2831 meters.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The circumference of the ring if the radius is 1 meter is,
Circumference of the ring = 2πr = 2 × π × 1 = 6.2831 meters
Hence, the circumference of the ring of fire is 6.2831 meters.
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How many yards are equivalent to 38 feet? 1 yard = 3 feet
Answer:
13 yards
Step-by-step explanation:
38/3 => 12.6667 yards which would be closest to 13 yards
The formula is to divide the lenght value by 3.
The number 38 feet is equal to 12.67 yards.
We have to give that,
To change 38 feet into yards.
Since we know that,
1 yard = 3 feet
1 feet = 1/3 yards
Hence, change 38 feet into yards as,
1 feet = 1/3 yards
38 feet = 38/3 yards
38 feet = 12.67 yards
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Please answer fast and give expaination I will give brainliest
Answer:
Agree.
Step-by-step explanation:
1. (5^r)^t can be represented simply as 5^rt.
2. when r as negative integer, t as positive integer, rt is always a negative integer
3. when ever the indices rt is negative, the number 5^rt will be less than 1, thus cannot be a whole number for sure.
Marcus is measuring the perimeter of his bedroom. The length of the room is 12 meters and the width of the room is 10 meters. What is the perimeter of the bedroom?
can you find the area and perimeter A=, P=??
area: 37.74 yds
you get this by multiplying the length and width
perimeter: 25 yds
you get this by adding up the length of each side
GIVING THREE BRAINLIEST PLS HURRY
A sentence with antonyms has two words with
somewhat different meanings
opposite meanings
similar meanings
the same meanings
Answer:
opposite meanings
Step-by-step explanation:
An antonym is a word that means the opposite of another word
find the value of the missing variables. please help
x=
y=
Answer:
X= 11
Y= 22
Step-by-step explanation:
How to find Y ?
sin 60° = 11√3/ Y
√3/2 = 11√3/Y
Y= 22
How to find X ?
cos 60° = x/22
1/2 = x/22
2x = 22
x = 11
on a coordinate plane what is the distance between the point at (4,7) and the point (-4,7)
Answer: 8 units
Step-by-step explanation:
We will use the distance formula.
[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]
[tex]\displaystyle d=\sqrt{(-4-4)^2 +(7-7)^2}[/tex]
[tex]\displaystyle d=\sqrt{(-8)^2 +(0)^2}[/tex]
[tex]\displaystyle d=\sqrt{64[/tex]
d = 8
NEEED HELPPPP TRYING NOT TO FAIL MATHH !!
-5x + 2y = -29
5x - 2y = 24
Answer:
-10x + 4y = -53
Step-by-step explanation:
-5x+2y = -29
5x - 2y = 24
subtract both values from up to down
-5x - 5x = -10x
2y - (-2y) = 4y
-29 - 24 = -53
-10x + 4y = -53
This number line models the division problem 1/3÷6 . What is the quotient? Enter your answer as a fraction in simplest form by filling in the boxes.
Answer: 1/200
Step-by-step explanation:
1/6 divided by 6 is equal to 0.05555555555 Which is equal to about 1/200
Find an equation of the line with the given slope that passes through the given point Write the equation in the form Ax + By = C
m= -8 (-6-4)
(Simplify your answer Use integers or fractions for any numbers in the equation )
Answer:
[tex]8x + y = - 52[/tex]
Step-by-step explanation:
m= -8
p (-6,-4)
Formula for equation of a logbook passing through to points:
[tex]y - y1 = m(x - x1)[/tex]where y1= -4 and x1= -6[tex]y - ( - 4) = - 8(x - ( - 6)) \\ y + 4 = - 8(x + 6) \\ y + 4 = - 8x - 48 \\ 8x + y = - 52[/tex]help me please please
Answer:
(x - 2)² + (y +8)² = 4Step-by-step explanation:
Equation of circle:[tex]\sf\boxed{(x-h)^2+(x-k)^2=r^2}[/tex]
Here, h , k are the co ordinates of the center and r is the radius
[tex]\sf (x - 2)^2 + (y-[-8])^2 = 2^2\\\\(x - 2)^2 + (y + 8)^2= 4[/tex]
can someone help me with this?
Thank you!
Find the remainder when x3-4x2-7x+10 is divided by x+2
Answer:
Remainder is 0
Hope this helps
See your levels
A maple tree is 6 meters tall. Its shadow is 8 meters long. Close by, there is a streetlamp
that is 9 meters tall. How long is the streetlamp's shadow?
Write your answer as a whole number or a decimal. Do not round.
meters
Answer:
12 meters
Step-by-step explanation:
The assumption regarding shadow lengths is that they are proportional to height at any given place and time.
__
Here, the streetlamp is 9/6 = 3/2 times as tall as the tree, so we expect its shadow to be 3/2 times the length of the tree's shadow.
(3/2)(8 m) = 12 m
The streetlamp's shadow is 12 meters long.
Sadie is 3 years older than Kareem, and Kareem is twice as old as Nadra. The sum of their ages is 33.
A student used the steps below to find each person’s age.
Step 1 Write an equation, letting x represent Kareem’s age:
(x + 3) + x + 2 x = 33
Step 2 Solve the equation:
(x + 3) + x + 2 x = 33. 3 + 4 x = 33. 4 x = 30. x = 7 and one-half.
Step 3 Sadie is 10 and one-half, Kareem is 7 and one-half, and Nadra is 3 and three-fourths.
Which corrects the student’s first error?
Answer:
Step 1-Write an equation, letting x represent Kareem’s age:
(x + 3) + x + 2 x = 33
Step 2-Solve the equation:
(x + 3) + x + 2 x = 33. 3 + 4 x = 33. 4 x = 30. x = 7 1/2.
Step 3-Sadie is 10 1/2, Kareem is 7 1/2, and Nadra is 3 3/4.
Which corrects the student’s first error?
1. In Step 1, the student should have used One-half x to represent Nadra’s age, and written the equation (x + 3) + x +1/2x = 33.
2. In Step 2, the student should have added 3 on both sides of the equation to find a solution of x = 9.
3. In Step 3, the solution represents Sadie’s age. Therefore, Sadie is 7 1/2, Kareem is 4 1/2, and Nadra is 2 1/4.
4. In Step 3, Nadra’s age is the difference between 33 and Sadie’s and Kareem’s ages, so Nadra is 15.
Which ordered pair is a solution to the equation? y = 4x + 15 (15,0) 0 (7.-2) (-1,4) (-3, 3)
Simplify 6 plus the square root of negative 80.
The given statement can be written as:
6+√-80
To solve √-80 re-write -80 as -1 * 80
Now √-80 =√-1 * 80
Now we can write it as:
6+ √-1 * √80
We know that √-1 = i
Thus it becomes:
6+ i√80
Now find the square root of 80
80 does not have a perfect square root
Its square root can be found as 80 = 4*4*5
Then,
6+i√4*4*5
Notice that 4 makes a pair.. So we will write it outside the square root
6+1*4√5
We will write it as:
6+4i√5
Thus the correct option is 6 plus 4 i times the square root of 5....
f(x) = |x − 5| + 2 Which of the following statements about the y-values of the graph of the function is true?
The answer will be option B. The y-values are all greater than or equal to 2.
What is a function?A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
Here no matter what x is, y will always be positive, because the absolute value of x-5 will always be positive. The smallest value that y can be is when x is 5, because then the absolute value of x-5 is 0, and then y is 2.
Therefore, the correct answer will be option B. The y-values are all greater than or equal to 2.
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Which of these intersections of a plane and a three dimensional figure result in a triangular cross section
Answer:
top right one
Step-by-step explanation:
Top left one makes a square
bottom left one makes a circle
top right one makes a triangle
bottom right one makes a circle
The intersection of a plane and a three-dimensional figure results in a triangular cross-section is a triangular pyramid.
What is a cross-section?A solid's cross-section is a plane figure formed when the solid intersects another plane. As a result, the cross-section of an object is an infinitesimal "slice" of a solid, and it can vary depending on how the slicing plane is oriented. A sphere's cross-section is always a disk, although a cube's cross-section can be square, hexagonal, or another shape.
In these types of three-dimensional geometrical problems imagination of the figures is very crucial.
Now, Think of the plane as a very very thin sheet cutting a triangular pyramid parallel to its base will have exactly the same cross-section as its base and we know a triangular pyramid has a triangular base.
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Can anyone please help me IM not sure if the first one is correct
Answer:
you are correct keep up the good work.
Answer:
The 1st one is correct and the second one is (5, -3)
Step-by-step explanation:
For the 1st question this is what I did:
d=√(x^2−x^1)^2+(y^2−y^1)^2
d=(0−4)^2+(6−3)^2
√d=(−4)^2+(3)^2
√d=16+9
√d=25
√d=5
For the second question I did this:
(xM,yM)=(x1+x2/2,y1+y2/2)
M=(xM,yM)
M=(x1+x2/2,y1+y2/2)
M=(3+7/2,−1+−5/2)
M=(10/2,−6/2)
M=(5,−3)
Hope this helps!
Can someone explain this?
Answer:
see the attachment!
i hope this can help you.
Please explain, I don't know how to solve.
it's base× height (same as a rectangle:
4×5=20
the triangle, 3, and right angle are there just to confuse you :)
Solve for x????????????????????
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\: Concept }}}[/tex]
➣ Given two paris are linear pairs➣ We know that sum of linear pairs is equal to 180⁰➣ Linear :- Having the form of a line; straight or roughly straight; following a direct course.[tex] \large\underline{ \boxed{ \sf{✛\: Assumptions\:✛ }}}[/tex]
➣ let given two angles be p and q that is ➣ angle p is 3x-4➣ angle q is 3x-8➣ we have to find "x" in the given expressions[tex] \large\underline{ \boxed{ \sf{✰\: let's\:solve }}}[/tex]
[tex] \rm\angle \: p + \angle \: q = 180 \degree \\ [/tex]
★ Substituting values
[tex] \rm { \pink➾ \:( 3x - 4) + (3x - 8) = 180} \\ \rm { \pink➾}arranging \: and \: solving \: like \: terms \\ \rm { \pink➾ \: 3x + 3x - 4 - 8 = 180} \\ \rm { \pink➾ \: 6x - 12 = 180} \\ \rm { \pink➾6x = 180 + 12}[/tex]
[tex] \qquad \qquad\rm { \pink➾6x = 192} \\ \qquad\qquad\rm { \pink➾ \: x = \frac{ \cancel{192}}{ \cancel6} } \\ \qquad\qquad\rm { \pink➾x = 32}[/tex]
★ Hence the value
[tex] \boxed{↪\underline{ \boxed{ \rm{\: x = 32\green✓}}}↩}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hope it helps !
hi I need help with this question
Answer:
x=49 exactly but a i forgot how to get range sry
Step-by-step explanation:
