Answer:
h(t) = -3(t-8)(t+4). and 8 minutes
Step-by-step explanation:
The function can be written as: h(t) = - 3(t² - 4t - 32). As per quadratic equation, after take off, the drone will land on the ground after 8 minutes.
What is a quadratic equation?A quadratic equation is an equation that contains a variable with highest degree of 2.
Given, the height of the drone t minutes after take off is modeled by
h(t) = - 3t² + 12t + 96 = - 3(t² - 4t - 32)
Therefore, the function can be written as: h(t) = - 3(t² - 4t - 32)
Therefore, we can write the equation as:
t² - 4t - 32 = 0
⇒ t²- 8t + 4t - 32 = 0
⇒ t(t - 8) + 4(t - 8) = 0
⇒ (t + 4)(t - 8) = 0
Hence, (t + 4) = 0 and (t - 8) = 0
Therefore, t = -4, 8.
As 't' can't be negative, therefore, t = 8.
Therefore, after take off, the drone will land on the ground after 8 minutes.
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Rewrite as a simplified fraction.
\large{0.7\overline{8} = {?}}0.7
8
=?
was is 0.788888 8 is the number that is recoring HELP ME
0.78 can be written as the fraction 71/90 after simplifying by dividing both the numerator and denominator by the greatest common divisor, which is 0.1.
To rewrite the repeating decimal 0.78 as a simplified fraction, we can use the concept of geometric series.
Let x = 0.78
Multiply both sides by 10 to shift the decimal point:
10x = 7.88
Subtract the original equation from the multiplied equation to eliminate the repeating part:
10x - x = 7.88 - 0.78
This simplifies to:
9x = 7.1
Now, divide both sides of the equation by 9 to isolate x:
x = 7.1/9
To express the fraction in simplest form, we can find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by the GCD:
GCD(7.1, 9) = 0.1
Dividing both the numerator and denominator by 0.1 yields:
7.1/9 ÷ 0.1/0.1 = 71/90
Therefore, the repeating decimal 0.78 is equivalent to the simplified fraction 71/90.
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10 + 10 please tell me nowwwwwwwwwwwwwwwwwww
It's 20, the answer is 20.
evaluate f(2) from the chart
Answer:
asfdgfhjlk;;lfdsaszfcv bkjiu876rdfchv bnjiu8y7
Step-by-step explanation:
o9y8tiyfvhjnkij9u8ybjoh[7t96fygvhgut768tdu
please help, almost finished with math
Answer:
i think it is A
Step-by-step explanation:
hope this helped!
p.s it would be cool if you give me brainliest.
Question 1 (2 points)
Your math class just went from 32 students to 24 students because some kids left to join a real life Fortnite
tournament. What is the percent of decrease?
0 а
8%
Ob
20%
Ос
25%
Od
40%
PLSSS HELPP
Answer:8
Step-by-step explanation:
need help, please kfvleknfv
Problem 18
Answers:
~P -> Q: "if it is not fall, then the leaves change colors"
~P -> ~Q: "if it is not fall, then the leaves don't change colors"
P -> ~Q: "If it is fall, then the leaves don't change colors"
Q -> ~P: "If the leaves change colors, then it is not fall"
----------
Explanation:
Simply replace each letter with the corresponding definition. We replace each P with "it is fall" and each ~P with "it is not fall". The squiggly line means "not". The same idea applies with Q and ~Q.
==========================================
Problem 19
Answer: Choice A) 134
----------
Explanation:
AB = CD
8x = 4x+24
8x-4x = 24
4x = 24
x = 6
BC = 18x+26
BC = 18*6+26
BC = 134
==========================================
Problem 20
Answer: Choice C) x = 5 and y = 11
----------
Explanation:
(anglePQR)+(angleRQS) = 90
(12x-2)+(6x+2) = 90
18x = 90
x = 5
angle TQU = 90
10y-20 = 90
10y = 110
y = 11
==========================================
Problem 21
Answer: 99
----------
Explanation:
The remote interior angles add to the exterior angle (remote interior angle theorem)
(angle RPQ) + (angle PQR) = angle PRS
(3x-29) + (7x-42) = 6x-3
10x-71 = 6x-3
10x-6x = -3+71
4x = 68
x = 68/4
x = 17
angle PRS = 6x-3
angle PRS = 6*17-3
angle PRS = 99
==========================================
Problem 22
Answer: 116
----------
Explanation:
Refer to the diagram below.
Solve 105+x = 180 to get x = 75
Solve 135+y = 180 to get y = 45
Solve x+y+z = 180 to get z = 60
Solve z+82+p = 180 to get p = 38
Solve p+78+q = 180 to get q = 64
Solve q+r = 180 to get r = 116
==========================================
Problem 23
Answer: B) between 4 and 44 inches
----------
Explanation:
We use a variation of the triangle inequality theorem here.
If p is the missing side length, then
24-20 < p < 24+20
4 < p < 44
So,
4 < XY < 44
The side XY cannot be 4 inches and it cannot be 44 inches either.
==========================================
Problem 24
4 Answers: A, B, C, D
----------
Explanation:
Same idea as problem 23
24-10 < x < 24+10
14 < x < 34
So we'll select values between 14 and 34, excluding each endpoint. Those values are x = 16, 18, 24, 26
In other words, only 12 and 34 are non-answers.
==========================================
Problem 25
Answer: C) 84 degrees
----------
Explanation:
The given exterior angle is 152 degrees
Subtract that from 180 to get the adjacent interior angle 180-152 = 28
Now let's find the missing angle of triangle DEB
D+E+B = 180
28+68+B = 180
96+B = 180
B = 180-96
B = 84
This is the measure of angle DBE
This is also the measure of angle ABC because the two angles are vertical angles.
Vertical angles are always congruent.
the high school graduating class of 2000 was 260 people. 5 years later it was 320 people. by 2010 the class rose to 400 people. in what 5 year period. did the high school graduating class experience the greatest experience of change
answer:
the question is confusing but the answer is 2010
step-by-step explanation:
because in the year 2000 it was
260
then increased by
60
over 5 years making the next class
320
then in 2010 it was
400
and 320 + what is 400?
80
so the answer is:
2010
In the year 2010 the high school graduating class experience the greatest experience of change.
What is subtraction?Finding the difference between two numbers is done using the subtraction technique. The size of a group of things decreases if any of the objects are removed.
For instance, at your birthday celebration, you purchased 9 cupcakes, of which your friends consumed 7. There are only 2 cupcakes remaining for you now. Nine minus seven equals two, which may be represented as the subtraction expression 9 - 7 = 2. (9 - 7) = 2 is the result of subtracting 7 from 9.
According to the question, the given values are :
There are 260 people in the graduating class in 2000, then it increased by 60.
5 years later the people class in the class was 320.
Then in the year 2010, it was 400.
So, the difference between 400 and 320 is 80.
Hence, this concludes that the greatest change will occur in 2010.
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At the Dessert Island Pastry Cafe, there are 2 cakes for every 7 donuts and 11 brownies for every 3 cakes. What is the ratio of brownies to donuts? Write your answer as a simplified fraction.
Answer:
22/21............
............
The ratio of brownies to donuts 22:21.
Given that, there are 2 cakes for every 7 donuts and 11 brownies for every 3 cakes.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Now, ratio to cakes and donuts = 2:7
Ratio to brownies to cakes = 11:3
Multiply 3 to the ratio 2:7. That is 6:21.
Multiply 2 to the ratio 11:3. That is 22:6.
So, the ratio of brownies to donuts 22:21
Therefore, the ratio of brownies to donuts 22:21.
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What is the missing length of this rectangle?
Answer:
4yd
Step-by-step explanation:
11 (bottom length) - 7 = 4
1. A bike shop rents each of its bikes for $6.50 per hour. They also charge a
$10.50 insurance fee for each rental.
What's the total cost, y of renting an bike for x hours.
Y = _?___ + __?__
Answer:
y=6.50x+10.50
Step-by-step explanation:
Answer: 17
Step-by-step explanation:
20 POINTS AND MARKED BRAINLYEST The steps below show the solution to the equation 3( x - 2 ) = 2 ( x - 3 ) Order the reason for the steps
(PS: The options are
Distributive property
Add and Subtract
Multiply
Addition and subtraction properties of inequality) The choices are the same for every equation EACH ANSWER IS DIFFERENT
1. Distributive property
2. Multiply
3. Addition and subtraction property of inequalities
4. Add and subtract
Aleka and Helene both opened savings accounts that earn 2.5% interest a year. Aleka puts $2,500 into her account. Helene put $1,500 into her account and also saves $200 cash a year. x = number of years Aleka: f(x) = 2500(1.025)x Helene: g(x) = 1500(1.025)x + 200x Which function represents the difference, h(x) = f(x) – g(x), between the value of Aleka's and Helene's total savings after x years? h(x) = –1000(1.025)x + 200x h(x) = 1000(1.025)x + 200x h(x) = 1000(1.025)x – 200x h(x) = 4000(1.025)x + 200x
Given:
Amount in Aleka and Helene accounts represented by the following function:
Aleka: [tex]f(x) = 2500(1.025)^x[/tex]
Helene: [tex]g(x) = 1500(1.025)^x + 200x[/tex]
To find:
The function represents the difference, [tex]h(x) = f(x) -g(x)[/tex], between the value of Aleka's and Helene's total savings after x years.
Solution:
We have,
[tex]f(x) = 2500(1.025)^x[/tex]
[tex]g(x) = 1500(1.025)^x + 200x[/tex]
Now,
[tex]h(x) = f(x)-g(x)[/tex]
[tex]h(x) = 2500(1.025)^x-[1500(1.025)^x + 200x][/tex]
[tex]h(x) = 2500(1.025)^x-1500(1.025)^x - 200x[/tex]
[tex]h(x) = 1000(1.025)^x - 200x[/tex]
Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
a large water bottle holds 32 fluid ounces which is 0.946353 liter. round this decimal to the nearest thousandth. explain how you rounded the decimal
Answer:
0.946 liter
Step-by-step explanation:
Here, we are told to round 0.946353 to the nearest thousandth.
The nearest thousandth is simply the third value after the decimal point.
Now to successfully round this number, we need to consider the number after this number. If the number is less than 5, then we round it up as zero and add to the thousandth digit.
in the case where the fourth number is higher than or equal to 5, we turn it to 1 and add it to the thousandth number
In the case of this question however, we can see that the number is less than 5, so we can only round to 0 and this does not affect the thousandth digit .
Joseph and Wendy were catching tadpoles. At first Wendy caught nine times three more than Joseph caught. Joseph was upset and released half of Wendy 's tadpoles, and then six times as many as Joseph caught swam away. After all of this, Wendy only had three tadpoles left. How many tadpoles did Joseph catch?
Answer:
Joseph caught 7 tadpoles
Step-by-step explanation:
Let the number of tadpoles caught by Joseph be x
The number of tadpoles Wendy caught will be ;
9(x + 3)
After Joseph was upset, he released half of Wendy’s tadpole and then six times as many as Joseph caught swam away leaving Wendy with only three tadpoles left;
Hence, mathematically;
9(x + 3)/2 - 6x = 3
Multiply through be 2
9(x + 3) - 12x = 6
9x + 27 -12x = 6
9x -12x = 6-27
3x = 21
x = 21/3
x = 7
QUESTION 4, Saturday, October 10th, 2020
I have some geometry questions today. Please include your thoughts or reasoning with your answer. Thanks!
Answer:
Hi in my opinion option A SSS isda answer
Answer:
Not congruentStep-by-step explanation:
There is no enough evidences of congruence
2 sides don't guarantee the third side or angle between them
Also the triangles are not right triangles
7x =6x-9 ....I’m just confused on how it works still
Answer:
x = -9
Step-by-step explanation:
7x = 6x - 9
-6x -6x
x = -9
A computer printer can print 10 pages per minute.
Write an expression for the number of pages the
printer can print in m minutes.
Answer:
so if the printer can print 10 pages per min. then the equation would be 10*m.
Step-by-step explanation:
The straight line distance between two cities A and B is 223 km. The straight line distance between cities A and C is 152 km. The straight line distance between cities B and C is 285 km. Find the measure of the angle when standing at city C between the lines of sight to cities A and B.
Answer:
Angle between the lines of sight to A and B = 50.94°
Step-by-step explanation:
Distance between the cities A and B = 223 km
Distance between the cities B and C = 285 km
Distance between the cities A and C = 152 km
By applying cosine rule in triangle ABC,
AB² = AC² + BC² - 2(AC)(BC)CosC
(223)² = (152)² + (285)² - 2(152)(285)CosC
49729 = 23104 + 81225 - (86640)CosC
CosC = [tex]\frac{54600}{86640}[/tex]
CosC = 0.630194
C = [tex]\text{Cos}^{-1}(0.630194)[/tex]
C = 50.94°
Therefore, angle between the lines of sight to cities A and B is 50.94°
If f(x) = {(-2, -3), (3, -4), (0, -1), (-7,3)}, which set of ordered pairs
represents the inverse of f(x)?
A. {(-3,-2), (-4,3), (-1,0), (3, -7)}
O B. {(-2, -3), (3, -4), (0, -1), (-7,3)}
O C. {(2,3), (-3, 4), (0, 1), (7, -3)}
D. {(3, 2), (4, -3), (1, 0), (-3, 7)}
Answer:
Answer is A
Step-by-step explanation:
What is the unit rate of (0,0) (6,8)
Answer:
4/3.
Step-by-step explanation:
Unit rate is the same as slope. In order to find the slope, we are going to use this formula:
m = y2 - y1 / x2 - x1
Now, we substitute the numbers into the equation:
m = 8 - 0 / 6 - 0
m = 8/6
m = 4/3
Therefore, the unit rate is 4/3.
7 moive tickets for $56
Answer:
what movie, cuz $8 per ticket for some reason feels super cheap
Step-by-step explanation:
Dos agricultores, padre e hijo, tardan 2 horas entre los dos arar un campo. Si solo el padre tarda 6 horas. ¿Cuanto tardara el hijo?
Answer:
El hijo solo tardará 3 horas en arar el campo
Step-by-step explanation:
Aquí, se nos dice que ambos pasan dos horas para arar el campo mientras que el padre solo pasa 6 horas.
Queremos saber el tiempo que pasará el hijo si va a trabajar solo
Sea el área del campo x
La tasa de trabajo de ambos es x / 2
La tasa de trabajo del padre será x / 6 Deja que el tiempo que pasa el hijo sea y La tasa de trabajo del hijo es x / y
Sumando la tasa de trabajo del padre a la del hijo da la tasa de trabajo total de ambos Por lo tanto;
x / 6 + x / y = x / 2
Despegar x 1/6 + 1 /y = 1/2
1 / y = 1/2 - 1/6
1 / y= 1/3
entonces y = 3
El hijo solo tardará 3 horas en arar el campo.
can you afford to buy a $50 video game every month if you make $40 a week and spend an average of $150 a month on food and gasoline the same there 4 weeks in the month true or false
Answer:
false
Step-by-step explanation:
you cannot afford it
Can someone help me please.
Answer:
Lena's Method: 280Jackson's Method: 280Step-by-step explanation:
Lena's Method:
8 + 12 = 20Plug 20 in: 14(20)14(20) = 14 × 20 = 280Jackson's Method:
14 × 8 = 11214 × 12 = 168Re-write the expression: 112 + 168112 + 168 = 280I hope this helps!
Order each step from least to greatest.
(2.8, -2 1/3, 3 1/8, -2.2...)
Answer:
-2 1/3, -2.2, 2.8, 3 1/8
Step-by-step explanation:
Point JJ is located at (5,-3)(5,−3) on the coordinate plane. Point JJ is reflected over the yy-axis to create point J'J ′ . Point J'J ′ is then reflected over the xx-axis to create point J''J ′′ . What ordered pair describes the location of J''?J ′′ ?
Answer:
[tex]J" = (-5,3)[/tex]
Step-by-step explanation:
Given
[tex]J = (5,-3)[/tex]
Reflections: over y and x axis to create J"
Required
Determine J"
When reflected over y axis:
[tex]J'(x,y) = J(-x,y)[/tex]
We have that:
[tex]J = (5,-3)[/tex]
So:
[tex]J(-x,y) = (-5,-3)[/tex]
Hence
[tex]J' = (-5,-3)[/tex]
When reflected over x axis:
[tex]J"(x,y) = J'(x,-y)[/tex]
We have that:
[tex]J' = (-5,-3)[/tex]
So:
[tex]J(x,-y) = (-5,3)[/tex]
Hence
[tex]J" = (-5,3)[/tex]
Answer:
(5,3)
Step-by-step explanation:
I put it in and it came out right so
its in the linked picture
help I'm on a test. I have 1 hour and I have 100 questions.
The sign at the right shows the costs for a deep-sea fishing trip. How much will the total cost be for 1 adult, 2 children, and 1 senior citizen to go on a fishing trip? Use mental math.
DEEP-SEA FISHING
Adults.....$41
Children (12 & under)....$35
Seniors (65 & up)......$39
Step-by-step explanation:
1 Adult = $41
2 children = $35 × 2 = $70
1 senior citizen = $ 39
Total = $41 + $70 + $39
=$150
y=4x-1
if the value of y is 1 what is x
Answer:
[tex]x=\frac{1}{2}[/tex]
Step-by-step explanation:
So we are given the equation:
y = 4x - 1
and we are asked to find the value of x when the value of y is 1.
In other words, what is x when y = 1? To find this, we can plug in 1 for y and solve for x.
1 = 4x - 1
Now solve for x. Add 1 to both sides.
2 = 4x
Divide both sides by 4.
[tex]x=\frac{1}{2}[/tex]
So now we have found that when the value of y is 1, the value of x is 1/2.
I hope you find my answer and explanation to be helpful. Happy studying.
So uhm idk this can some1 help
Answer:
Negative
Step-by-step explanation:
Negative-negative is always negative, and -1/3-4/5 is negative too. the second one, however, is positive.
Answer:
negative
Step-by-step explanation: