Using the vertex of the quadratic equation, it is found that:
The rocket will reach its peak height of 345 meters above sea level at 6.53 seconds.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the equation is given by:
h(t) = -4.9t² + 64t + 136.
The coefficients are a = -4.9 < 0, b = 64, c = 136, hence the instant of the maximum height is given by, in seconds:
[tex]t_v = -\frac{64}{2(-4.9)} = 6.53[/tex]
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Evaluate e0.2 to four decimal places
Answer:
grab
Step-by-step explanation:
hahahahaha
please help me factor this
Answer:
(x+24)(x-2)=0
Step-by-step explanation:
2*-24=-48
factorise -48 to get 24 and -2 (which will add up to 22)
Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 8 inches, and the hole had side lengths of 5 inches, how much wood was left after the hole was cut out?
A.
387 cubic inches
B.
512 cubic inches
C.
39 cubic inches
D.
312 cubic inches
Answer:
The Correct answer is D. 312 Cubic inches.
Hope this helps you!!
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Answer:
The Correct answer is D. 312 Cubic inches.
Hope this helps you!!
Please Mark me Brainleast!!
Find the exact value of ..
Х
15
6
Carlos buys 3 gallons of juice for a party. What is the greatest number of cups of
juice he can serve?
24 cups
16 cups
96 cups
48 cups
Answer:
48
Step-by-step explanation:
1 gallon=16 cups. So, 3x16=48 cups.
i got a question what is 2x92
Answer:
184
Step-by-step explanation:
Answer:
184 184 184 184 184 184
Step-by-step explanation:
184
Mystery Measures
Determine as many angle measures as you can by
creating different designs.
Record your results and strategies on the worksheet.
Answer:
four squares or 3 hexagons
Find the approximate radius of a circle with a
circumference of 41.78 centimeters.
Answer:
radius=6.65cm
Step-by-step explanation:
circumference=41.78cm
2×22\7×r=41.78cm
r=41.78×7\44
r=6.65cm
What was discovered because of the changing phases of the moon? Please Help!!! Will Give Lots Of Points!
the moon's quarters
the moon's light source
the moon's eclipse
the moon's quarters
Answer:
Firstly, the moon keeps changing its shape with 4 distinct moon phases that depend on the position of the moon and also on the position of the Earth. The moon orbits around the planet Earth, and the Earth orbits around the Sun.
Step-by-step explanation:
Answer:
what is the process
Step-by-step explanation:
Simplify: -16b4 + (-18b4)
Answer:
-34b4
Step-by-step explanation:
Since the variables are the same b4, you just add the constants (-16 & -18).
Please answer . Just read and give the exact answer to each question ( please be numbered )
4. B. 2 yards
5. C. 440 Millimeters
6. 2000 milliliters
Which expression is equivalent to 4 ( y + 2 ) − 3 y ?
A. ( 4 + 8 − 3 ) y
B. ( 4 − 3 ) y + 2
C. ( 4 + 2 − 3 ) y
D. ( 4 − 3 ) y + 8
Answer:
D
Step-by-step explanation:
the given expression is equivalent to (4-3)y+8
Please i need your help
Answer:
See below ~
Step-by-step explanation:
a) There are 3 feet in one yard.
b) There are 12 inches in one foot.
c) Two abbreviations for inches is in. and ".
d) Two abbreviations for feet is ft. and '.
Examine the diagram.
Transversal n intersects lines l and m to form 8 angles. The angles formed with line l, clockwise from top left are 63 degrees, (15 x minus 3) degrees, blank, blank. The angles formed with line m, clockwise from top left are (8 x + 7) degrees, blank, 1, blank.
What is the m∠1?
the answer is 71
The measure of angle 1 is 71° ⇒ c
Step-by-step explanation:
Look to the attached figure:
∵ Line l intersect line n
∴ Angle 63° and angle (15x - 3) are linear pair
- The sum of the linear pair angles is 180°
∵ 63° + (15x - 3)° = 180°
- Add like terms
∴ 60 + 15x = 180
- Subtract 60 from both sides
∴ 15x = 120
- Divide both sides by 15
∴ x = 8
∵ Line m intersect line n
∴ Angle (8x + 7) and angle 1 are vertical opposite angles
- The vertical opposite angles are equal in measure
∴ m∠1 = 8x + 7
∵ x = 8
- Substitute the value of x to find m∠1
∴ m∠1 = 8(8) + 7
∴ m∠1 = 64 + 7
∴ m∠1 = 71
The measure of angle 1 is 71°
Learn more:
You can learn more about the parallel lines in
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8(7n-2) -6(7n+1)
Explain please
Answer:
8(7n - 2) - 6(7n + 1) = 14n - 22Step-by-step explanation:
8(7n - 2) - 6(7n + 1)
use the distributive property: a(b + c) = ab + ac
= 8 · 7n + 8 · (-2) + (-6) · 7n + (-6) · 1
= 56n - 16 - 42n - 6
combine like terms
= (56n - 42n) + (-16 - 6)
= 14n - 22
Answer:
=> 14n - 22
Step-by-step explanation:
8(7n-2) -6(7n+1)
=> 56n - 16 - 42n -6
=> 14n - 22
Work out the difference between 25 and of 81 2/9
That is the differnce between the 2 numbers and it is in a negative because the second number was bigger than the first number so if you don't need the negative don't put it in your answer
-56.22 is the difference between 25 and [tex]81\frac{2}{9}[/tex]
What is Fraction?A fraction represents a part of a whole.
A proper fraction has a numerator that is less than its denominator .
An improper fraction has a numerator greater than its denominator.
An improper fraction is always greater than one whole.
We need to find the difference between 25 and of [tex]81\frac{2}{9}[/tex]
Difference is nothing but subtraction. We need to subtract [tex]81\frac{2}{9}[/tex] from 25
25 - [tex]81\frac{2}{9}[/tex]
25-731/9
25×9-731/9
225-731/9
-506/9
=-56.22
Hence -56.22 is the difference between 25 and [tex]81\frac{2}{9}[/tex]
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E. Solve the Inequality
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Solve the Inequality.
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
x<-4
[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]
First, add 6x on both sides:
-2x+3+6x<-13
Add the x's:
4x+3<-13
Now, subtract 3 on both sides:
4x<-13-3
4x<-16
Divide by 4 on both sides:
x<-4
So the values of x that are less than -4 will make the given inequality true.
Good luck.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Rafael's chocolate bar is 37% cocoa. If the weight of the chocolate bar is 96 grams, how may grams of cocoa does it contain? Round your answer to the nearest tenth.
You can use the weight of the chocolate bar given and find its 37% to get the weight of cocoa used in it.
The weight of cocoa in the given chocolate bar is 35.52 grams.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
Since weight of cocoa = 37% percent of chocolate bar's weight which is 96 gram,
Thus,
[tex]weight[/tex] [tex]of[/tex] [tex]cocoa=\frac{37}{100}[/tex] × [tex]96=35.52[/tex]Thus,
The weight of cocoa in the given chocolate bar is 35.52 grams.
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People leaving a movie were randomly asked their age. The results are show below. What graph would best display the data, if you were only concerned about the shape and spread of the data, and not specific data? Select all that apply.
7, 37, 45, 78, 24, 97, 12, 17, 43, 56, 69, 63, 76, 23, 50, 38, 45, 57, 4
box plot
dot plot
histogram
stem-and-leaf plot
The histogram and stem and leaf plot would be the best choices if you were only concerned about the shape and spread of the data.
What is a histogram?
It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.
We have data:
7, 37, 45, 78, 24, 97, 12, 17, 43, 56, 69, 63, 76, 23, 50, 38, 45, 57, 4
We know on the left side skewed histogram has more data on the right and on the left side, there are less data. It is also called a negatively skewed histogram.
On the right side skewed histogram, there is less data on the right side and more data on the left side. It is also called a positive histogram.
Thus, the histogram and stem and leaf plot would be the best choices if you were only concerned about the shape and spread of the data.
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Amelie rode her bike for 80 minutes. Amelie rode her bike 5 times as long as Raj. How long did Raj ride his bike?
Answer:
400 minutes
Step-by-step explanation:
Amelia speed = 80 minutes
raj = ?
80 ×5 =400
A company is tracking how many likes it receives for a new product they have posted online. So far they have received 499 likes on Day 1, on Day 2 they received 239 likes, 154 on Day 3, and 92 on Day 4. If they estimate each day's total to the nearest ten before finding the total, what is the total estimated likes over the four-day period?
A company is tracking how many likes it receives for a new product they have posted online. The total estimated likes over the four-day period is 580.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
A company is tracking how many likes it receives for a new product they have posted online.
So far they have received 499 likes on Day 1,
On Day 2 they received 239 likes,
154 on Day 3,
92 on Day 4.
If they estimate each day's total to the nearest ten.
Then it will become 100 likes on Day 1,
On Day 2 they received 240 likes,
150 on Day 3,
90 on Day 4.
The total estimated likes over the four-day period
= 100 + 240 +150 + 90
= 580
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What is the solution set of equation x2 + 3x - 4 = 6?
use the vertical line test to determine whether the graph is the graph of a function
Answer:
No the graph is not a function
Step-by-step explanation:
If you draw vertical lines onto the graph, multiple points will hit it.
Answer:
This graph is not a function
Step-by-step explanation:
The input x is used more than once
it is not a parabola
Enter a recursive rule for the geometric sequence -10, 20, -40, 30 ...
Answer:
[tex]\large\boxed{{\sf \left \{ {{t_1 = -10} \atop {t_n = -2t_{n-1}}} \right. }}[/tex]
Explanation:geometric sequence: [tex]\sf a_n = a_{n-1} \ x \ r[/tex] where "r" is common ratio
[tex]\sf a_1 =a[/tex]Find "r" = second term ÷ first term = 20 ÷ -10 = -2
Recursive rule:
[tex]\boxed{\sf t_n = r(t_{n-1})}[/tex]
[tex]\large\boxed{{\sf \left \{ {{t_1 = -10} \atop {t_n = -2t_{n-1}}} \right. }}[/tex]
HELP!!! ASAP!!
Given: ABCD is an inscribed polygon.
Prove: ∠D and∠B are supplementary angles.
Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
ABCD is an inscribed polygon ⇒ Given
m∠ABC = 2(m∠D) ⇒ Inscribed Angle Theorem
m∠CDA = 2(m∠B) ⇒ Inscribed Angle Theorem
m∠ABC + m∠CDA = 360° ⇒ The sum of arcs that make a circle is 360°
2(m∠D) + 2(m∠B) = 360° ⇒ Substitution property
m∠D + m∠B = 180° ⇒ Division Property of Equality
Hence, ∠D and ∠B are supplementary angles
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No link please……. Enter the value of b when the expression 30.4x + b is equivalent to 3.4 (6x-3.1)
Answer:
61
Step-by-step explanation
sped
Answer: b=−10x−10.54
Step-by-step explanation:
Let's solve for b.
30.4x+b=3.4(6x−3.1)
Step 1: Add -30.4x to both sides.
b+30.4x+−30.4x=20.4x−10.54+−30.4x
Answer: b=−10x−10.54
In a packet of 40 Skittles, 12 are red. What percentage of the Skittles are red?
Answer:
12/40×100= 30%
Step-by-step explanation:
12/40×100 = 12/2×5 =6×5= 30%
Goldie's apple juice boxes hold 6.9 ounces. If there are 8 boxes in a package, how many ounces of apple juice are in a package?
Bridget is tracking the amount of time she works out at the gym each day. The lengths of her
last 5 workouts were:
41 minutes 43 minutes 42 minutes 46 minutes 46 minutes
What was the range of the lengths of Bridget's workouts?
Answer:
The range is 5 minutes.
Step-by-step explanation:
To find the range of a data set, simply subtract the lowest value from the highest value.
46 - 41 = 5
Hope this helps
Use 24x -2 +2 >34 to figure out how much jimmy spent on his Fanta
Answer:
x > 1.42 or x > 17/12
Step-by-step explanation:
24x - 2 +2 >34
The -2 and +2 cancel out
24x > 34
Now, we need to get x alone
24x/24 > 34/24
x > 34/24
34/24 can be simplifed too 17/12 by dividing by 2
x > 17/12
So Jimmy spent more than $1.42 on his Fanta
Let me know if you have any questions !