The average velocity is the rate of the distance function over time
The average velocity over the interval [1, 3] is 8 kilometers per hour
How to determine the average velocity?The distance function is given as:
d(t) = 8(t³ - 6t² + 12t)
The interval is given as: [1,3]
Calculate d(1) and d(3)
d(3) = 8(3³ - 6 * 3² + 12 * 3)
Evaluate
d(3) = 72
d(1) = 8(1³ - 6 * 1² + 12 * 1)
Evaluate
d(1) = 56
The average velocity (v) is the calculated as:
v = (d(3) - d(1))/(3 - 1)
Substitute known values
v = (72 - 56)/(3 - 1)
Evaluate
v = 8
Hence, the average velocity over [1, 3] is 8 kilometers per hour
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Erik is learning how to make hachapuris. He uses 5 eggs for each hachapuri.
Erik has 12 eggs, and he makes as many hachapuris as he can. How many
hachapuris does Erik make? How many eggs are left?
unters
Answer:
2
Step-by-step explanation:
he has 12 eggs and each hachapuri needs 5 so for one hachpuri we have 7 then for the second hachapuri we need 5 so we are left with 2 we cant make them anymore so there you go
What is the distance between points A and B?
0-6 units
-1 units
O 5 units
O6 units
Step-by-step explanation:
d 6 units .................
The distance between the points A and B is given by D = 6 units
What is the distance between two points?Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )
The distance from A to B is the same as the distance from B to A
Distance between two points is the length of the line segment that connects the two points in a plane.
The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
This formula is used to find the distance between any two points on a coordinate plane or x-y plane
Given data ,
Let the distance between 2 points be represented as D
Now , let the first point be P ( -5 , 0 )
Let the second point be Q ( 1 , 0 )
Now , distance D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
On simplifying , we get
D = √ ( -5 - 1 )² + ( 0 )²
D = √ ( 6 )²
D = 6 units
Hence , the distance is 6 units
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Marsha sees an airplane flying overhead. The spot on the ground that is directly under the plane is 3,600 feet from Marsha's house. She sees the plane at a 45o angle of elevation. What is the elevation of the plane?
The elevation of the plane is 3600 ft
Let
h = elevation of plane, d = distance from Marsha's house to spot on ground below plane = 3600 feet and Ф = angle of elevation of plane = 45°From the triangle, we have the trigonometric ratio
tanФ = h/D
Elevation of the planeMaking h subject of the formula, we have
h = DtanФ
substituting the values of the variables into the equation, we have
h = DtanФ
h = 3600 ft × tan45°
h = 3600 ft × 1
h = 3600 ft
So, the elevation of the plane is 3600 ft
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Which angles are congruent to each other?
314 11
12
109
15
5
13
210 and 212
216 and 26
215 and 27
29 and 214
Submit
X Practice in the app
Which of the following shows the Commutative Property of Multiplication?
(3 × 2) × 7 = 3 × (2 × 7)
4 × (5 + 8) = (4 × 5) + (4 × 8)
4 × 5 = 5 × 4
9 × 7 = 63
Answer:
The options that show the Commutative Property of Multiplication are:
A) 4x5=5x4
C) (3 x 2) × 7 = 3 ×(2 x 7)
------------------------------
The commutative property of multiplication states that the order in which the factors are multiplied does not change the product, that is:
Of the options, the ones which show it are:
A) 4x5=5x4
C) (3 x 2) × 7 = 3 ×(2 x 7)
In C), on the left side, the first 3 is multiplied by 2, then the result 6 is multiplied by 7, resulting in 42. On the right side, 2 is multiplied by 7, resulting in 14, which is multiplied by 3, resulting in 42.
Step-by-step explanation:
-lukelaws
Answer:
(3 × 2) × 7 = 3 × (2 × 7)4 x 5 = 5 x 4Step-by-step explanation:
These shows the commutative property.
Regardless of which number you group together, the answer remains the same as numbers on each side are identicalHope it helps~
You roll a 6-sided die. What is P(divisor of 12)? Write your answer as a fraction or whole number.
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
The divisors of 12 that are ≤12 are 1, 2, 3, 4, and 6. The probability that the roll of a dice will be a divisor of 12 is 5/6.
Answer:
Step-by-step explanation:
5/6
GIVING BRAINLIEST!
2pi8^2 + 2pi8*8=?
the answer should be 150, show the steps
Answer:
256π
Step-by-step explanation:
2π(8²) + 2π(8)(8) <== exponents first
2π(64) + 2π(64) <== multiply
128π + 128π <== add
256π <== final answer
Note: 8 * 8 can also be written as 8²
Hope this helps!
Answer:
256π
Step-by-step explanation:
4π(8²) = 4π(64)= 804.2477193
804.2477193/π = 256π
Xan and Katie are twins. Xan weighs 666 pounds 999 ounces, and Katie weighs 888 pounds 111 ounce.
What is the difference, in ounces, between Xan and Katie's weight?
Answer:
Difference in weight is 24 once
Step-by-step explanation:
got it right
At a high school, the probability that a student is a senior is 0.20. The
probability that a student plays a sport is 0.15. The probability that a student
is a senior and plays a sport is 0.05.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
• A. 0.05
• B. 0.25
• C. 0.33
• D. 0.15
Answer: B. 0.25
Step-by-step explanation:
Probability that a student is a senior = 0.20. Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25 and option B is the correct choice.
which part of the cell makes proteins?
a) chromosomes
b) ribosomes
c) lysosomes
d) mitochondrion
A rectangular lot is 80 yards wide and 125 yards long.
Give the length and width of another rectangular lot that has the same perimeter but a smaller area.
Answer:
70 yards wide and 135 yards long
Step-by-step explanation:
The perimeter of a rectangle will be the same if the sum of length and width is the same. The area will be smaller if the difference between lenth and width is greater.
__
The sum of length and width will be the same if the length is increased by the same amount that the width is decreased. Changing each by 10 yards is one possibility.
A lot 70 yards wide and 135 yards long will have the same perimeter and a smaller area.
_____
Check
Given perimeter: 2(80 +125) = 410 yds.
Modified perimeter: 2(70 +135) = 410 yds. (same)
Given area = 80(125) = 10000 yd².
Modified area: 70(135) = 9450 yd². (smaller)
__
Additional comment
The area is greatest when the difference between the length and width is zero. That is, the rectangle will be a square.
Solve the inequality: 3 < -5X+2X
Answer:
Inequality Form:
X< −1
Interval Notation:
(−∞,−1)
Step-by-step explanation:
Answer:
[tex]x < -1[/tex]
Step-by-step explanation:
First you need to combine the like terms -5x and 2x to get [tex]3 < -3x[/tex]
Then, you need to devide both sides by -3 to get [tex]-1 < x[/tex] , but because the factor is negative, we flip the relation to get [tex]x < -1[/tex]
Find the surface area of the Prism, will mark BRAINLIEST if correct
Answer:
2490
Step-by-step explanation:
Individually find the area of each side of the shape then add all values
Which figures below have perpendicular lines?
1
2
3
4
5
6
7
Answer:
Square, purple triangle, and red arrow
Step-by-step explanation:
I need help with this question step by step
Z-scores are used to determine the probability of data. The z-score for the given parameters in normal distribution is -6.35
How to calculate z-score for a normal distribution?
The formula given to calculate the z-score is expressed as:
[tex]z = \dfrac{x-\mu}{\frac{\sigma}{\sqrt{n}} }[/tex]
Given the following parameters:
Mu = 1.36
n = 28
[tex]\sigma = 5[/tex]
Mean = 130
Substitute into the formula
[tex]z = \dfrac{130-136}{\frac{5}{\sqrt{28}} }\\ x = \frac{-6}{0.9449} \\z = -6.35[/tex]
Hence the z-score for the given parameters in normal distribution is -6.35
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Which of the following polyhedra have the same volume?
Select each geometry shape which have the same volume.
A.
A hemisphere with a radius of 2 cm.
B.
A sphere with a radius of 14 cm.
C.
A cone with a radius of 2 cm and a height of 4 cm.
D.
A cylinder with a radius of 13 cm and a height of 13 cm.
Answer:
A and C
Step-by-step explanation:
We can eliminate poor choices by estimating their relative sizes. And we can check the remaining choices by finding the exact volumes.
__
A hemisphere with radius 2, or a cone with dimensions of 4 or less, will have a much smaller volume than a sphere with radius 14. A cylinder with dimesions smaller than those of the sphere will have a smaller volume.
So, the only figures that might have similar volumes are the hemisphere and the cone.
HemisphereV = 1/2(4/3)πr³ = 2/3π(2 cm)³ = 16/3π cm³
ConeV = 1/3πr²h = 1/3π(2 cm)²(4 cm) = 16/3πcm³
__
The hemisphere (A) and the cone (C) have the same volume.
what is 90x40+50-20x45=20-15(34)-(20)+
Answer:
2750=-510
Step-by-step explanation:
hope this helps ._.
Mrs Li's classroom is 34 feet wide and 42 feet long. Objects in classroom Mrs. Li's Desk, Fish Tank, Math Center, or Reading Center. Area of Objects (square feet) 8, 6, 100, or 120. what is the area of the classroom?
Answer:
multiply length with breadth which is 34 *42
Answer:1'428 sq ft because you multiply 34x42 witch= to 1,428
What type of association is seen in the scatter plot.
Answer:
Girl how do you not know this is the most easiest thing /hj
Step-by-step explanation:
its a linear and strong association bc the dots are very refined and stuck together very well
helpppp: Find the area of the figure.
Step-by-step explanation:
in such cases we always try to split the complex figure into non-overlapping simple figures, calculate their areas and add them up.
what simple figures can we see here ?
I see a rectangle 80m × 130m.
and that leaves for me a right-angled triangle in the upper right corner with the legs of
250-80 = 170 m and 130-50 = 80 m
the area of a rectangle is
length × width
the area of a right-angled triangle is
leg1 × leg2 / 2
the individual areas are
80×130 = 10,400 m²
170×80/2 = 170×40 = 6,800 m²
and that gives us a total for the whole area
10400 + 6800 = 17,200 m²
Need help with this question ! Due soon*
Answer:
x = 10, AB = 57
Step-by-step explanation:
In a trapezoid, the length of the median is one-half the sum of the lengths of the bases. From this, we have:
[tex] \frac{1}{2} (5x + 7 + 8x - 11) = 63[/tex]
[tex]13x - 4 = 126[/tex]
[tex]13x = 130[/tex]
[tex]x = 10[/tex]
[tex]5(10) + 7 = 50 + 7 = 57[/tex]
A bag contains 10 white, 12 blue, 13 red, 7 yellow, and 8 green wooded balls. A ball is selected from the bag and kept. You then draw a second ball and keep it also. What is the probability of selecting two blue balls
Answer:
[tex]someone \: needs \: to \: g et \: laid \\ [/tex]
Select the correct answer.
Alejandra is packing a bag for a flight. The airline has a baggage welght limit, and Alejandra has already packed her bag with some essentials. All
she has left is her outfits and shoes, which must weigh less than 30 pounds total.
If Alejandra estimates that one outfit welghs two pounds and one pair of shoes welghs three pounds, which graph represents the number of
outfits and shoes that Alejandra can pack while staying under the weight limit?
PLSSSS ANSWER THIS QUESTION FAST
WILL MARK BRAINLIEST
19/12
==========================================================
Explanation:
Use the triangle inequality theorem to set up these three inequalities
AB+BC > ACAB+AC > BCAC+BC > ABIf you were to apply substitution and solve for x, then you'd get these solutions in the order presented shown above
x < 11/2x > 3/4x > -3/4We'll ignore the third inequality. It's not very useful because we were already told that x > 0.
The first two inequalities combine to get 3/4 < x < 11/2
This is the range of possible x values so that triangle ABC is possible.
---------------
If we want angle CAB (or angle A for short) to be the largest of the triangle, then side BC must be the longest of the three sides.
The rule is: the largest angle is always opposite the longest side. This applies to triangles only.
Since BC is the longest side, this means BC > AB and BC > AC
---------------
Let's focus on the first inequality
BC > AB
x+7 > x+4
7 > 4
That's true regardless of what we pick for x. So BC is always longer than AB.
---------------
Now onto the second inequality
BC > AC
x+7 > 4x
7 > 4x-x
7 > 3x
3x < 7
x < 7/3
Now recall that we found earlier x > 3/4 or 3/4 < x
Combine 3/4 < x and x < 7/3 to get the compound inequality 3/4 < x < 7/3
---------------
Notice the middle part of that compound inequality is x and BC = x+7
If we were to add 7 to all three parts of the compound inequality, then we'll determine exactly the possible range of lengths for segment BC.
3/4 < x < 7/3
3/4+7 < x+7 < 7/3+7
3/4 + 28/4 < x+7 < 7/3 + 21/3
31/4 < x+7 < 28/3
31/4 < BC < 28/3
The length of segment BC is between 31/4 units and 28/3 units, excluding both endpoints. Those are the values of m and n in that order.
---------------
The last step is to compute n-m
n-m = (28/3) - (31/4)
n-m = (112/12) - (93/12)
n-m = (112-93)/12
n-m = 19/12 which points us to choice D.
Side note: 7/3 - 3/4 = 28/12 - 9/12 = (28-9)/12 = 19/12
What is the value ofthe expression 1 2 (m-4).. when me 12 and na 3 4 OA) ? OB) 1 OC) 2 OD)
HELP ASAP
1 is the answer......
WHATS UP KID
which expressions are equivalent to the expression (x-y) 5/8 - 1/4x +y? answers: 3/8x + 3/8y, 3/8x + 1 5/8y, 5/8x - y - 1/4x + y, 5/8x - 5/8y - 1/4x + y, 5/8x - 1/4x + y - 5/8y
Answer:
(a) 3/8x +3/8y
(d) 5/8x -5/8y -1/4x +y
(e) 5/8x - 1/4x + y - 5/8y
Step-by-step explanation:
An equivalent expression can be found by simplifying the given expression, removing parentheses and combining like terms.
__
(x -y)(5/8) -1/4x +y
= 5/8x -5/8y -1/4x +y . . . . . use distributive property
= 5/8x -1/4y +y -5/8y . . . . . . reorder terms
= (5/8 -1/4)x +(1 -5/8)y . . . . . group like terms
= 3/8x +3/8y
Every day, the Lee Pet Store uses 1/3 of a bag of dog food to feed the dogs. How many days
will 1 1/3 bags of dog food last?
Please help me with this
Answer:
B
Step-by-step explanation:
Combine like terms
8x + x = 9x
Put the numbers in the correct format
x³ + 9x + 5
This type of equation is a cubic trinomial because it has 3 terms and the first term is x cubed.
I hope this helps and please mark me as brainliest!
Answer:
The answer is B
Step-by-step explanation:
It is a cubic and a trinomial
y=3(x-2)(x-5) standard form?
Answer:
y = 3x² - 21x + 30Step-by-step explanation:
Given is the factored form of a quadratic function.
The standard form is:
y = ax² + bx + cOpen parenthesis to convert it into standard form:
y = 3(x - 2)(x - 5) = 3(x² - 7x + 10) = 3x² - 21x + 30Answer:
3x² - 21x + 30Step-by-step explanation:
Keep in mind that the equation in standard form is y = ax² + bx + c
[Where "a, b, and c" are the constants.]
Simplify the distibutive property:
⇒ y = 3(x - 2)(x - 5)
⇒ y = (3x - 6)(x - 5)
Simplifying the R.H.S using the rule (a + b)(c - d) = ac - ad + bc - bd:
⇒ y = (3x - 6)(x - 5)
⇒ y = (3x² - 15x - 6x + 30)
⇒ y = (3x² - 21x + 30)
⇒ y = 3x² - 21x + 30
If possible, reorganize the equation in standard form:
⇒ y = 3x² - 21x + 30 (In standard form)
Been struggling with math lately. I would appreciate it if anyone out there can help me out!
Answer:
21°
Step-by-step explanation:
Dilation is a similarity transformation. It does not change angles. It changes lengths proportionally.
∠A'B'C' ≅ ∠ABC = 21°