Answer:
[tex]H=210.25\ \text{units}[/tex]
Step-by-step explanation:
Given that,
[tex]H = -16t^2 + 84t + 100[/tex] ...(1)
We need to find the maximum height
For maximum height, put dH/dt = 0
[tex]\dfrac{d(-16t^2 + 84t + 100)}{dt}=0\\\\-32t+84=0\\\\t=\dfrac{84}{32}\\\\t=2.625\ s[/tex]
Put t = 2.625 in equation (1)
[tex]H = -16(2.625)^2 + 84(2.625) + 100\\\\=210.25\ \text{units}[/tex]
Hence, the maximum height [tex]=210.25\ \text{units}[/tex]
This table shows a proportional relationship between the number of cups of lemonade and strawberry juice used for
strawberry lemonade.
Cups of
Lemonade
Cups of
Strawberry
juice
1
3
4
12
21
Enter the number of cups of lemonade used for 1 cup of strawberry juice.
cups
Answer:
number of cups of lemonade used = 1/3 cups
Step-by-step explanation:
number of cups of lemonade : strawberry juice
= 1 : 3
Enter the number of cups of lemonade used for 1 cup of strawberry juice.
Let
x = number of cups of lemonade used
number of cups of lemonade : strawberry juice
= x : 1
Equate both ratios to get x
1 : 3 = x : 1
1/3 = x / 1
Cross product
1*1 = 3 * x
1 = 3x
Divide both sides by 3
x = 1/3 cu
number of cups of lemonade used = 1/3 cups
A young sumo wrestler goes on a special diet to gain weight.
The variable www models the wrestler's weight (in kilograms) after the wrestler has been on a special diet for ttt months.
w=80+5.4tw=80+5.4tw, equals, 80, plus, 5, point, 4, t
How much weight does the wrestler gain every 222 months?
kilograms
Answer:
10.8 kg
Step-by-step explanation:
w = 80 + 5.4t
At time 0, when he starts the diet, his initial weight is
w = 80 + 5.4(0)
w = 80
80 kg.
After 2 months, t = 2. His weight is
w = 80 + 5.4t
w = 80 + 5.4(2)
w = 80 + 10.8
w = 90.8
90.8 kg.
His gain in 2 months was 90.8 kg - 80 kg = 10.8 kg
Answer: 10.8 kg
The wrestler gains 10.8 kg every 2 months.
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
We have been given an equation that models the wrestler's weight (in kilograms) after the wrestler has been on a special diet for t months.
w = 80 + 5.4t
We need to find his weight after 2 months.
At time t = 0, when he starts the diet, the wrestler's initial weight would be,
⇒ w = 80 + 5.4(0)
⇒ w = 80 kg
After 2 months, t = 2 the wrestler's weight weight would be,
⇒ w = 80 + 5.4(2)
⇒ w = 80 + 10.8
⇒ w = 90.8 kg
We need to find the weight gain in 2 months.
90.8 - 80 = 10.8 kg
Therefore, the wrestler gains 10.8 kg every 2 months.
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Find the focus, this looks different from the other ones I’ve done which is why I am confused
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (0,0)(0,0)
Focus: (0,32)(0,32)
Axis of Symmetry: x=0x=0
Directrix: y=−32y=-32
xy−223−11600116223xy-223-11600116223
Step-by-step explanation:
please mark me as brainliest thank you
Answer:
A
(0, 3/2)
Step-by-step explanation
A circular spinner for a game has a radius of 5 cm. The probability of winning on one spin of this spinner is $\frac{2}{5}$. What is the area, in sq cm, of the WIN sector? Express your answer in terms of $\pi$.
The total area of a circle is pi * radius^2
The total area of the circle is pi x 5^2 = 25pi sq. cm.
2/5 of this is success, so the answer is 2/5 * 25pi = 10 pi sq. cm.
What is the final amount if 1102 is increased by 2% followed by a further 1% increase? Give your answer rounded to 2 DP.
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
The final amount of 1102 with a 2% increase followed by a 1% increase is 1135.28.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
We have,
Amount = 1102
Percentage increase = 2%
Another percentage increase = 1%
Now,
The final amount.
= 101% of 102% of 1102
This can be written as,
= 101/100 x 102/100 x 1102
= (101 x 102 x 1102) / 10000
= 1135.28
Thus,
The final amount of 1102 with a 2% increase followed by a 1% increase is 1135.28.
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Find X
Coordinates are: 3x, 3x+10, 2x+10
Answer:
D. 20
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set Up Equation
3x + 3x + 10 + 2x + 10 = 180
Step 2: Solve for x
Combine like terms: 8x + 20 = 180Isolate x term: 8x = 160Isolate x: x = 20Use ruler and compasses to draw a line which is
perpendicular to line AB at point C.
Answer:
Draw a line that crosses point C so when it crosses AB it forms two 90 degree angles
Step-by-step explanation:
Determine the sign of each product and place it in the correct category
Answer:
sorry i had too
Step-by-step explanation:
someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
answer all questions please.
Sten had 12 apples.
He ate 5 of them.
He picked 3 more apples and gave all of the
apples to Granny.
How many apples did Sten give Granny?
Nat is thinking of a four-digit counting number. The thousands digit and the hundreds digit are the same. The sum of all 4 digits is 28. The four-digit number is an odd multiple of 5. Exactly two digits are even. What is Nat’s number?
We want to use the given information to find a 4-digit number.
We will get the number: 8,875
----------------------------
A general 4-digit number can be written as:
a*1,000 + b*100 + c*10 + d
Where a, b, c, and d are whole numbers between [0, 9].
We also know that:
"The thousands digit (a) and the hundreds digit (b) are the same"
a = b.
"The sum of all 4 digits is 28"
a + b + c + d = 28
"The 4-digit number is an odd multiple of 5"
All the multiples of 5 end with a 0 or a 5, this is an odd one, so it must end with a 5, then we know that:
d = 5
"Two of the digits are even".
Ok, now let's write the equations that we found
a = b
a + b + c + d = 28
d = 5
Because of the last statement, only two digits are even, and we have that a is equal to b, the two even numbers must be these two, then we know that:
a is even.
And from the first equation, we can rewrite the second one as:
a + a + c + d = 28
Using the third equation and replacing it here, we have:
a + a + c + 5 = 28
2*a + c = 23
Now we can try to input different values of a in the equation, and see what value of c we get:
if a = 2, then:
2*2 + c = 23
4 + c = 23
c = 23 - 4 = 19
But c can be, at max, 9, then we can discard this.
Now let's try with a larger value for a, this time a = 8.
2*8 + c = 23
16 + c = 23
c = 23 - 16 = 7
c = 7
This is correct, then we can conclude that:
a = 8b = 8c = 7d = 5Then the 4-digit number is:
8,875
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Answer my last question
Can the hypotenuse or a leg be a decimal? Why or why not?
Answer:
yes
because the of use the Pythagoras theorm
Currently, professional men's basketball players score an average of 18.2 points per game with a standard deviation of 4.5 points. The current top-scoring professional basketball player scores an average of 36.2 points per game. In one season in the 1990s, professional basketball players averaged 13.2 points per game with a standard deviation of 3.7 points. The top-scoring professional basketball player averaged 30.1 points per game. Which player did better relative to his peers?
Answer:
The 1990s basketball player did better than the current basketball player because his z-score is higher.
Step-by-step explanation:
i just took the test
which expression is equivalent to 4 - (-7)
Answer:
4 + 7
(also 11)
Step-by-step explanation:
Answer:
7+4 or 11
Step-by-step explanation:
7+4 since 4-(-7) makes a mega plus.
Conceded goals: 0,1,2,3,4 Frequency:2,8,4,10,6 What is the mean number of goals conceded
Answer:
2.333
Step-by-step explanation:
Given that:
Conceded goals: 0,1,2,3,4
Frequency:2,8,4,10,6
Mean(m) = Σ(fx) / Σf
Σfx = (0*2) + (1*8) + (2*4) + (3*10) + (4*6) = 70
Σf = (2 + 8 + 4 + 10 + 6) = 30
Hence,
Mean = 70 / 30
Mean = 2.333
Drag and drop an answer to each box to correctly complete the proof.
Given: m | n m 1 = 50 m 2 = 48°, and line s bisects ABC
Prove: m/3
49°
It is given that m | n m
1 = 50 m
2
- 48° and fine s bisects
ABC By the
m/DEF = 989 Because
angles formed by two parallel lines and a transversal are congruent
DEF
A BC
SO MZABC 98 By the
angles 4 and 5 are congruent
and m
4 is half m
ABC So the measure of in24_49 Because vertical angles
Answer:
Step-by-step explanation:
The correct question is shown in the image attached below.
Recall that: the line m is parallel to line n. In addition to that, [tex]m \angle 1 = 50^0[/tex] and [tex]m \angle 2 = 48^0[/tex], and [tex]\angle ABC[/tex] is bisected by line s.
At this moment, by the angle addition postulate, angle DEF i.e.
∠DEF [tex]= m \angle 1 + m \angle 2[/tex]
∠DEF = 50° + 48°
∠DEF = 98°
Similarly, using the rule of the alternate exterior angle ∠DEF = ∠ABC (∵ alternate exterior angles exhibit congruency).
Furthermore, By the definition of a bisector, angles 4 and 5 are congruent due to the fact that the line of a bisector splits the angle into two equal parts.
m∠4 = m∠5
∴
98/2 = 49°
Finally;
from the diagram, angle 3 and 4 are vertical angles
Thus, m∠3 = 49 by substitution property of equality ( because vertical angles are congruent angles).
Probability
Help me with this one plzzz
Answer:
a. 5/10 = 50%
b. likelihood you'll draw a card with a B on it
I'm not sure about c.
is 49 greater than or less than 7.1
Answer:
Greater
Step-by-step explanation:
just because
Answer:
greater
Step-by-step explanation:
49>7.1
Find xy when x(-7,10) and y(3,4)
Answer:
Distance xy = 11.66 unit (Approx)
Step-by-step explanation:
Given:
x(-7,10)
y(3,4)
Find:
Distance xy
Computation:
Distance = √(x2-x1)²+(y2-y1)²
Distance xy = √(3+7)²+(4-10)²
Distance xy = √ 100 + 36
Distance xy = 11.66 unit (Approx)
See the Pic for my question.
Answer:
C. 7
Step-by-step explanation:
4 * Sum (i = 1 to 3) (1/2)^(i - 1) =
= 4 * [(1/2)^0 + (1/2)^1 + (1/2)^2]
= 4 * [1 + 1/2 + 1/4]
= 4 * [7/4]
= 7
Answer:
7
Step-by-step explanation:
because I'm smart like that
Miss Rojas has a container of Jolly Ranchers on her desk. The ratio of Red Jolly Ranchers to Green Jolly Ranchers is 3 to 7. If there are 42 green jolly ranchers in the container, what is the total amount of Jolly Ranchers in the container?
Answer:
The total amount of Jolly Ranchers in the container is 60 Jolly Ranchers
Step-by-step explanation:
We have a ratio of
Red Jolly Ranchers : Green Jolly Ranchers
3:7
Sum of the proportion = 3 + 7 = 10
Hence:
Let the total number of jolly ranchers = x
7/10 of x = 42 Green Jolly Ranchers
Hence:
7/10 × x = 42
7x /10 = 42
Cross Multiply
7x = 420
x = 420/7
x = 60 Jolly Ranchers
The total amount of Jolly Ranchers in the container is 60 Jolly Ranchers
if y varies directly with x and y is 12 when x is 9 what is x when y is 4
Answer:
X is 3 when Y is 4.
So, the required value [tex]x[/tex] is 3.
Proportional:Properly related in size, degree, or other measurable characteristics; corresponding: Punishment ought to be proportional to the crime. 3. Mathematics Having the same or a constant ratio.
The first part is y varies directly with x then,
[tex]y \propto x\\y=kx[/tex]... (1) where k is proportional constant
Now, substituting [tex]y=12, x=9[/tex] in equation (1) we get,
[tex]12=9k\\k=\frac{4}{3}[/tex]
Substituting [tex]k=\frac{4}{3}[/tex] in equation (1) with [tex]y=4[/tex] then,
[tex]4=(\frac{4}{3})x\\ x=3[/tex]
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Drag each figure to show if it is similar to the figure shown or why it is not similar.
Answer:
1st one - not similar diff ratio
2nd- similar
3rd- not similar diff shape
4- not similar diff ratio
5- similar
6- not so sure but i would go w either not similar diff shape or similar
Step-by-step explanation:
solve this and explain it to me please
it's weird my brother And I am fighting for this my brother says it's p but I think it's P-Q
Answer: U - (P - P∩Q)
Where U represents the universal set.
Step-by-step explanation:
In the image, we can see that the shaded part is all the region minus the part of P that does not share elements with Q.
This part of P can be written as:
P - P∩Q
there we write:
"The elements of P, minus the elements that P share in common with Q"
Then to write the shaded area, we need to write the universal set, U, minus the thing we wrote above, this is:
U - (P - P∩Q)
PLEASE ANSWER FAST WILL GIVE YOU BRAINLEST LOL
You are testing two scales for accuracy by weighing two different objects.
Use the drop-down menus to complete the statements about the scales' accuracy.
Answer:
This is because the object on the 1st scale weighs (more) than the object on second scale, each pound of error results in a (lesser) percent error. The first scale was (10) pounds off the second scale,was (3) pounds off, so 1st scale was (10)% off 2nd scale was (12)% off.
Answer:
Because the object on Scale 1 weighs more than the object on Scale 2, each pound of error results in a lesser percent error. Scale 1 was 10 pounds off and Scale 2 was 3 pounds off, so Scale 1 was 10% off and Scale 2 was 12% off.
Step-by-step explanation:
Got it right on TTM so yeah! :)
Alia made a scale drawing of a square park, which has a side length of 30 feet. She used the scale 3 centimeter = 5 feet. What will be the area of the scale drawing?
Answer:
324cm²Step-by-step explanation:
Given the scale conversion;
3 centimeter = 5 feet
x = 30 feet
Cross multiply
5x = 3 * 30
5x = 90
x = 90/5
x = 18cm
Hence the side length in cm is 18cm
Area of the square = L²
Area of the square = 18²
Area of the square = 324cm²
Hence the area of the scale drawing is 324cm²
how many ducks are left if they started with 8 and 3 ran away?
Answer:
5?xd
Step-by-step explanation:
select all expressions whose value is negative
Answer:
"2 + 2(-3)(7) = negative
-2(27 ÷ 9)+4= negative
(14 ÷ -2)(-6)= positive
(4 - 10) - ( 8 ÷ ( -2))= negative
Step-by-step explanation:
2 + 2(-3)(7) = -40
-2(27 ÷ 9)+4= -2
(14 ÷ -2)(-6)= 42
(4 - 10) - ( 8 ÷ ( -2))= -2"
In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band.
Please help I've been trying to solve this for an hour (T-T)