Vertical motion formula is h = -16t^2 +vt +s where v is initial velocity and s is starting height:
h = -16t^2 + 50t +6
Solving for t: -50/-32 = 1.5625 seconds to reach maximum height.
Now replace t and solve for h ( maximum height)
h = -16(1.5625)^2 +50(1.5625) + 6
h = 45.0625
The value for h is greater than the height of the balcony, so yes the ball reached the friend.
If 560 mg is 80% of a dose of medicine, how much is a full dose?
Answer:
PLEASE GIVE BRAINLIEST AND THANKS
700mg
Step-by-step explanation:
560 divided by 80= 7
7 x 100=700mg
Ms. Luna is waterproofing the top of a rectangular wood deck. The width of the deck is 3 m less that the length. The length is 8m. What is the area to be waterproofed?
Answer:
40 m
Step-by-step explanation:
First we have to find the width. the width is 3 less than the length, which is 8... so the width is 5. Area is found by multiplyign length times width to get 40 m.
If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²
What is Rectangle?A rectangle is a quadrilateral with four right angles
The area of Rectangle is length times of width.
Given that Ms. Luna is waterproofing the top of a rectangular wood deck.
The width of the deck is 3 m less that the length.
Width=Length-3
Length=8
Area of rectangle=Length×Width
=Length×(Length-3)
=8×(8-3)
=8×5
=40 m²
Hence, If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²
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(+34)+(-48)+(-32)+(+26) =???
Answer:
-20
Step-by-step explanation:
Answer:
[tex] - 20[/tex]
Step-by-step explanation:
[tex] (+ 34) + ( - 48) + ( - 32) + ( +26) \\ 34 - 48 - 32 + 26 \\ = (- 20) [/tex]
Which statement is true about the difference 2 square root of 7 − square root of 28 ?
Group of answer choices
A) It is rational and equal to −2.
B) It is rational and equal to 0.
C) It is irrational and equal to −2 square root of 7 .
D) It is irrational and equal to square root of 7 .
I'll go slow:
[tex]2\sqrt 7 - \sqrt{28}[/tex]
[tex]=2 \sqrt 7 - \sqrt{4 \cdot 7}[/tex]
[tex]=2 \sqrt 7 - \sqrt{4} \cdot \sqrt{7}[/tex]
[tex]=2 \sqrt7 - 2 \sqrt 7[/tex]
[tex]=0[/tex]
Answer: B rational and equal to 0.
6- en la clase de repostería, inés y liz prepararon una torta de naranja. para ello, utiliza 1/2 litro de leche y 1/3 de jugo de naranja¿que cantidad de líquido utilizan? ¿cuantos litros de leche más que jugo de naranja echan?
Answer:
El total de líquido utilizado es [tex]\frac{5}{6} de litro[/tex]. Se echa [tex]\frac{1}{6}[/tex] de litro más de leche que de jugo
Step-by-step explanation:
Para saber la cantidad total de líquido, basta con sumar las cantidades de leche y de jugo de naranja. Vamos a asumir que usa 1/3 de litro de jugo de naranja.
En este caso el total de líquido es 1/2 litro + 1/3 litro. Dado que estas fracciones tienen distinta denominador, debemos sumarlas de la siguiente manera
[tex] \frac{1}{2}+\frac{1}{3} = \frac{1\cdot 3 + 2\cdot 1}{2\cdot 3} = \frac{5}{6}[/tex]
Para calcular la cantidad extra de leche de más que la cantidad de jugo, restamos estos números. Es decir
[tex] \frac{1}{2}-\frac{1}{3} = \frac{1\cdot 3 - 2\cdot 1 }{2\cdot 3} = \frac{1}{6}[/tex]
Es decir, que echamos [tex]\frac{1}{6}[/tex] de litro más de leche que de jugo.
Justin's rice ball recipe uses 100 grams of rice to make 1 rice ball. Justin has 700 grams of rice.
Answer:
Yup he can make 7 rice balls
Step-by-step explanation:
If he has 700 grams of rice and he only needs 100 grams welp that's 700/100
first you can take the zeros off so it turns into 7/1 and anything devided by it's self is itsself
So 7/1 is 7
Justin can make 7 rice balls if he has 700 grams of rice because he can make 1 rice ball using 100 grams.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
Justin's rice ball recipe uses 100 grams of rice to make 1 rice ball.
The ratio of the quantity of the rice to rice ball:
100:1
Multiply the above ratio by 7
700:7
Thus, Justin can make 7 rice balls if he has 700 grams of rice because he can make 1 rice ball using 100 grams.
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SOHCAHTOA is not my thing can someone pls help
Answer:
You are using CAH which is adjacent/hypotenuse
Step-by-step explanation:
1.7101007166283435 is your answer
Answer:
1.710
Step-by-step explanation:
It got deleted before, idk why, but you are using CAH, so adjacent over hypotenuse. You would have to multiply cos(70) by 5 to get the answer.
What is it called when the gravities of the Sun and Moon combine twice a month, to produce an extra-high tidal bulge and extra-low tidal dip helpppppppppp ppppplleeeeasssssssee i will mark brainlest
Answer:
spring tides
Step-by-step explanation:
spring tides occur twice a month to produce an extra-high tidal bulge and extra-low tidal dip
Oliver's monthly budget is $2,000. How much money does he save each month?
A $200
B $500
C $600
D $700
Answer:
$500 would be better, for 4 months only...
tick the calculation that would increase 275 by 10%
275 + 10
110/100 x 275
10/275 x 10
275 + 27.5
Answer:
The calculation that would increase 275 by 10%:
275 x ( 1 + 10%) = 275 x (1 + 10/100) = 275 x 110/100 = 302.5
Hope this helps!
:)
Which set of ratios could be used to determine if one triangle is a dilation of the other?
A triangle with side lengths 3.6, 5.4, 6. A triangle with side lengths 3, 4.5, 5.
StartFraction 3.6 Over 3 EndFraction = StartFraction 5.4 Over 4.5 EndFraction = StartFraction 6 Over 5 EndFraction
StartFraction 3.6 Over 3 EndFraction = StartFraction 4.5 Over 5.4 EndFraction = StartFraction 6 Over 5 EndFraction
StartFraction 3 Over 3.6 EndFraction = StartFraction 4.5 Over 6 EndFraction = StartFraction 5 Over 5.4 EndFraction
StartFraction 3 Over 4.5 EndFraction = StartFraction 3.6 Over 5.4 EndFraction = StartFraction 5 Over 6 EndFraction
Answer:
Option (1).
Step-by-step explanation:
Dimensions of two triangles have been given as 3.6, 5.4, 6 units and 3, 4.5, 5 units.
If triangle one is dilated to form triangle two, then the ratio of the sides will be
Ratio = [tex]\frac{\text{Side of triangle (1)}}{\text{Corresponding side of triangle (2)}}[/tex]
= [tex]\frac{3.6}{3}[/tex]
Similarly, ratio of other two sides will be = [tex]\frac{5.4}{4.5}[/tex] and [tex]\frac{6}{5}[/tex]
Since the triangle (1) was dilated to form triangle (2), so both triangles will be similar and the ratios of their corresponding sides will be equal.
Therefore, Ratios of the sides = [tex]\frac{3.6}{3}=\frac{5.4}{4.5}=\frac{6}{5}[/tex]
Option (1) will be the answer.
Answer:
StartFraction 3.6 Over 3 EndFraction = StartFraction 5.4 Over 4.5 EndFraction = StartFraction 6 Over 5 EndFraction
Quadrilateral A^ prime B^ prime C^ prime D^ prime is the image of quadrilateral ABCD under a rotation about point Q
A: -90
B: -60
C: 60
D: 90
When a shape is rotated, it must be rotated through a point.
The rotation from [tex]ABCD[/tex] to [tex]A'B'C'D'[/tex] is (d) [tex]90^o[/tex]
To determine the angle of rotation from [tex]ABCD[/tex] to [tex]A'B'C'D'[/tex], we use the following steps
Connect a point and the image of the point to the center of rotation.Measure the angle at the point of rotationDraw an arrow from [tex]ABCD[/tex] to [tex]A'B'C'D'[/tex] to determine the direction of rotation.See attachment for illustration.
From the attached image;
We draw A and A' to point QThen we measure the angle at Q; this gives [tex]90^o[/tex].The arrow from [tex]ABCD[/tex] to [tex]A'B'C'D'[/tex] indicates a clockwise directionHence, the angle of rotation is D: 90
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Solve the following, and express your answer in scientific notation.
(7.66 x 10^4) - (5.4 x 10^4)
Answer: 2.26 * 10^4
Step-by-step explanation:
The profits of Mr. Cash's company is represented by the equation 푃 푡 =−3푡 ) +18푡−4, where 푃(푡) is the amount of profit in hundreds of thousands of dollars and 푡 is the number of years of operation. He realizes his company is on the down turn and wishes to sell before he ends up in debt.
Answer:
- Mr Cash's company business shows the maximum profit in 3 years after starting the business.
- The maximum profit = 23 thousand dollars = $23,000
- Anytime beyond 5.77 years will be too late to sell the business as the profit margins have entered negative values.
Step-by-step explanation:
Complete Correct Question
The profits of Mr. Cash’s company is represented by the equation
p(t)=-3t^2+18t-4,
where p(t) is the amount of profit in hundreds of thousands of dollars and t is the number of years of operation. He realizes his company is on the down turn and wishes to sell before he ends up in debt.
In what year of operation does Mr. Cash’s business show maximum profit? What is the maximum profit? What time will it be too late to sell business?
Solution
The profit function is given as
p(t) = -3t² + 18t - 4
p(t) = profit in thousand of dollars
t = time in years.
To find the year where the maximum profit is obtained, we use differentiation analysis to obtain the maximum of the profit function and the corresponding time where it occurs.
At the maximum of the profit function,
(dp/dt) = 0 and (d²p/dt²) < 0
p(t) = -3t² + 18t - 4
(dp/dt) = -6t + 18
At maximum profit
(dp/dt) = -6t + 18 = 0
6t = 18
t = (18/6) = 3 years.
(d²p/dt²) = -6 < 0
Hence, this value of t corresponds to the maximum value of the profit function.
The maximum profit is then obtained when t = 3
p(t) = -3t² + 18t - 4
p(3) = -3(3²) + 18(3) - 4 = 23 thousand dollars
The business will be late to sell when the profits from the business start to run into negative values. So, we obtain the time when the profit margins reaches 0.
p(t) = -3t² + 18t - 4 = 0
-3t² + 18t - 4 = 0
Solving the quadratic equation
t = 0.23 years or t = 5.77 years
Since the profits first start rising from the value at t=0 up till the maximum profit at t=3, 0.23 years isn't a realistic point to sell the business as this is part of the onset of profits, but beyond 5.77 years on the other hand represents when the business stops to bringing in profits and leads to losses.
Hope this Helps!!!
(algebra)Can you please help and show your work, solve for X.
Solve for x.
41. (x + a)/b + b = a
1. Subtract b.
(x + a)/b = a - b
2. Multiply by b.
x + a = ab - b^2
3. Subtract a.
x = ab - b^2 -a
42. bx + a = dx + c
1. Subtract a.
bx = dx + c - a
2. Subtract dx.
bx - dx = c - a
3. Factor x out.
x(b -d) = c - a
4. Divide by (b-d).
x = (c-a)/(b-d)
43. cx - b = ax + d
1. Add b.
cx = ax + d + b
2. Subtract ax.
cx - ax = d + b
3. Factor x out.
x(c -a) = d + b
4. Divide by (c-a).
x = (d +b)/c-a).
44. a(x -3) + 8 = b(x - 1)
1. Distribute everything.
ax - 3x + 8 = bx - b
2. Subtract 8.
ax - 3a = bx - b -8
3. Subtract bx.
ax - bx - 3a = -b - 8
4. Factor x out.
x ( a - b) - 3a = -b - 8
5. Add 3a.
x ( a - b) = -b - 8 + 3a
6. Divide by (a-b).
x = (-b - 8 + 3a) / (a - b)
45. c ( x + 2) - 5 = b ( x -3)
1. Distribute everything.
cx + 2c -5 = bx - 3b
2. Add 5.
cx + 2c = bx - 3b + 5
3. Subtract bx.
cx - bx + 2c = -3b + 5
4. Factor x out.
x ( c - b ) + 2c = -3b + 5
5. Subtract 2c.
x ( c - b) = -3b + 5 - 2c
6. Divide by ( c - b).
x = (-3b + 5 - 2c)/(c-b)
46. a (3tx - 2b) = c (dx -2)
1. Distribute everything
3txa - 2ba = cdx - 2c
2. Subtract cdx.
3txa - cdx - 2ba = -2c
3. Add 2ba.
3txa - cdx = 2ba - 2c
4. Factor x out.
x ( 3ta - cd) = 2ba - 2c
5. Divide by (3ta - cd).
x = (2ba - 2c)/(3ta - cd)
47. b ( 5px - 3c) = a (qx -4)
1. Distribute everything.
5bpx - 3bc = apx - 4a
2. Subtract apx.
5bpx - apx - 3bc = -4a
3. Add 3bc.
5bpx - apx = -4a + 3bc
4. Factor x out.
x ( 5bp - ap ) = -4a + 3bc
5. Divide by (5bp - ap).
x = (-4a + 3bc)/(5bp - ap)
48. [a/b(2x - 12)]= c/d
1. Multiply b first.
a ( 2x - 12) = c/d
2. Multiply by d.
ad(2x - 12) = cb
3. Distribute ad.
2adx - 12ad = cb
4. Add 12ad.
2adx = cb + 12ad
5. Divide by 2 ad.
x = (cb + 12ad)/2ad
answer choices :
A : x = - 5
B : x = - 4
C : x = 4
D x = 5
Answer:
x=-4
Step-by-step explanation:
[tex]\frac{1}{4} x - \frac{1}{8} = \frac{7}{8} + \frac{1}{2} x[/tex]
first group the like terms
[tex]\frac{1}{4} x - \frac{1}{2}x = 1[/tex]
as 1/8 plus 7/8 = 1
then add the x's together
[tex]-\frac{1}{4} x = 1[/tex]
and finally
x = -4
Please help! Correct answers only please!
You spin the spinner twice.
What is the probability of landing on an odd number and then landing on an even number?
Simplify your answer and write it as a fraction or whole number.
Answer:
1/4
Step-by-step explanation:
Since on this spinner, there are 2 odd numbers, 2 even numbers, and 4 numbers in total, for the both spins there is a 1/2 probability that you land on the desired outcome. 1/2*1/2=1/4. Hope this helps!
5.02×10^2 in standard form
Answer:
5020000000000.
Step-by-step explanation:
5.02×10^2 is in scientific notation so we must convert it to standard form getting that answer.
What is the mean of the data set below? Round to the nearest tenth when necessary. 18, 20, 24, 26, 32 *
Answer:
The answer is 24
Step-by-step explanation:
Add 18, 20, 24, 26, 32= 120
then divide by 5.
the difference between 8 forty-sevens and 5 forty-sevens
Answer:
8 40/7 - 5 40/7 = (56 + 40)/7 - (35 + 40)/7 = 96/7 - 75/7 = 21/7 = 3
Hope this helps!
:)
Answer:
8 40/7 - 5 40/7 = (56 + 40)/7 - (35 + 40)/7 = 96/7 - 75/7 = 21/7 = 3
Hope this helps!
:)
Step-by-step explanation:
PLEASE HELP !!! i will literally give you all my points and brainliest im BEGGING
X =
y =
m ∠ H =
m ∠ G =
Answer:
x=53
y=26
H=106
G=93
Step-by-step explanation:
By the inscribed quadrilateral conjecture:
[tex]2x+(x+21)=180\\(3y+9)+(4y-11)=180\\3x+21=180\\3x=159\\x=53\\7y-2=180\\7y=182\\y=26\\H=2(53)=106\\G=(4(26)-11)=104-11=93[/tex]
Hope this helps!
Answer:
x=53
y=26
H=106
G=93
Step-by-step explanation:
im not really good with this stuff i tryed and hope this helps
At about 9:00 PM every night, flights from Chicago, Miami, and Denver arrive at the local airport in a random order. What is the probability that the Chicago flight will arrive first on any night? Write your answer as a fraction in simplest form
Answer:
The answer is 1/3
Step-by-step explanation:
Since there are 3 planes that arrive in a random order, there is a 1 in 3 chance that the plane from Chicago will arrive first. Hope this helps!
Find x in this 45°-45°-90° triangle.
x=
Answer:
24
Step-by-step explanation:
This is the same question as before just flipped around
Help me with question 20 I will mark brainliest
Answer:
142.9
Step-by-step explanation:
litres of milk
30/100=x/125
10x=375
x=37.5
14% of milk
14/100=x/125+y
1750+14y=100x
1750=100x–14y
1750=100(37.5)–14y
1750=3750–14y
y=2000/14=142.9
19 + 12k = –k − 20 solve for k
Answer:
k=13
Step-by-step explanation:
19 + 12k = –k − 20
19+20=39=13k
k=13
Answer: -3
Step-by-step explanation:
Let's solve your equation step-by-step.
19+12k=−k−20
Step 1: Simplify both sides of the equation.
19+12k=−k−20
19+12k=−k+−20
12k+19=−k−20
Step 2: Add k to both sides.
12k+19+k=−k−20+k
13k+19=−20
Step 3: Subtract 19 from both sides.
13k+19−19=−20−19
13k=−39
Step 4: Divide both sides by 13.
13k /13 = −39/13
Is the point (5, –9) a solution in the equation y < -x -3
Answer:
yes, because if you input 5 for x it would be -8
and if u input -9 for y it is right as -8 is closer to 0 than -9
is the square root of 1,815 rational?
Answer:
It is not
Step-by-step explanation:
Explanation:
Using a calculator, we find that
sqrt(1815) = 42.6028168082816
which is not a whole number. The decimal numbers go on forever without any known pattern. Therefore, this number is irrational. This means it is not rational.
The length of a rectangle is 2cm, and the width is 1 cm. Find the length of a diagonal of this rectangle.
A. √3cm
B. √5cm
C. 3 cm
D. 25 cm
Answer:
Ans 2
Step by step explanation :
2 X 1 = 2
Answer:
this is merely the Pythagorean Theorem. so we would do (2^2+1^2)^.5 = 2.236 = square root of 5 = answer B!!!
A pound of mangoes cost $4,and a pound of grapes cost $3. You spend a total of $21 on two these fruits. If you buy 3 pounds of mangoes , how many pounds of grapes did you buy?
Answer:
3
Step-by-step explanation:
3
What is the square root of 300
Answer:
the square root of 300 is 17. 32
Step-by-step explanation:
[tex] \sqrt{300} =17.32 \times 17.32[/tex]
Answer:
17.32
Step-by-step explanation:
step by step