all you need is in the photo PLEASE DON'T DO STEP BY STEP BECAUSE IS SO CONFUSING PUT ONLY THE ANSWER
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A) The ball in the ground is represented by h(t)=0, that is, the height is equal to 0, the reference level.
Then, we can find for which values of t we have h(t).
We equal h(t) to 0 and calculate t as:
[tex]\begin{gathered} h(t)=-16t^2+64t=0 \\ 64t-16t^2=0 \\ 16t(\frac{64}{16}-t)=0 \\ t_1=0\text{ (first solution)} \\ t_2=\frac{64}{16}=4\text{ (second solution)} \end{gathered}[/tex]The ball is in the ground at time t=0 (an instant before it is kicked) and then again at time t=4, that is the value we are looking for: the ball landed again in the ground 4 seconds after kicked.
B) The maximum height can be find in two ways:
- By finding the t-value of the vertex, that in this case will be correspond to the maximum height as this is a concave down parabola with only one extreme point.
- Deriving the function and equaling to 0 and finding t.
If we apply the first method, we have:
[tex]\begin{gathered} h(t)=-16t^2+64x=-16(x^2-4x) \\ -16(x^2-4x) \\ -16(x^2-4x+4-4) \\ -16((x-2)^2-4) \\ -16(x-2)^2+64\longrightarrow\text{Vertex:}(2,64) \end{gathered}[/tex]As the vertex is at time t=2 seconds, the maximum height happens at t=2.
Answer: A) t = 4 seconds B) t = 2 seconds
NOTE for Part B:
If we derive the expression, we get:
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what is the difference written in scientific notion?0.00067 - 2.3 * 10^-5
Answers
Answer:
[tex]6.47\times10^{-4}[/tex]Explanation:
To evaluate the difference:
[tex]0.00067-2.3\times10^{-5}[/tex]First, rewrite the expression in the form below:
[tex]=67\times10^{-5}-2.3\times10^{-5}[/tex]Next, factor out the powers of 10.
[tex]\begin{gathered} =10^{-5}(67-2.3) \\ =10^{-5}(64.7) \\ =64.7\times10^{-5} \\ =6.47\times10^1\times10^{-5} \\ =6.47\times10^1^{-5} \\ =6.47\times10^{-4} \end{gathered}[/tex]Thus, the difference written in scientific notation is:
[tex]6.47\times10^{-4}[/tex]Note: A number is in scientific notation if it is expressed as a product of a number (between 1 and 10) and a power of 10.
How many ways can four guests sit in a row of six chairs?
Answers
Answer:
360
Step-by-step explanation:
There are 6 spaces and 4 people.
_ _ _ _ _ _
The first person to choose a seat can choose any of the 6 seats.
The second person can choose any of the 5 remaining seats.
The third person can choose any of the 4 remaining seats.
The fourth person can choose any of the 3 remaining seats.
Now, we do 6 x 5 x 4 x 3 to figure out the total number of ways they can sit in the seats.
6 x 5 x 4 x 3 = 360 ways
|x + 6| < or equal to 1
8
x < or equal to 2
x < or equal to ?
Answers
Answer: -14
Step-by-step explanation:
[tex]\frac{1}{8}|x+6| \leq 1\\\\|x+6| \leq 8\\\\-8 \leq x+6 \leq 8\\\\-14 \leq x \leq 2[/tex]
PCA) = 1/3 P(В) = 2/9 PIAUB) = 4/9 Find P(An B). 1 1/9 ОООО 20/18 О 1/3
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Solution:
Remember the following formula :
P(AUB) = P(A)+P(B)-P(AnB)
According to the data of the problem and applying the previous equation, we obtain the following equality:
[tex]\frac{4}{9}=\frac{1}{3}+\frac{2}{9}-\text{ P(A n B)}[/tex]This is equivalent to:
[tex]\frac{4}{9}=\frac{5}{9}-\text{ P(A n B)}[/tex]solving for P(A n B), we get:
[tex]\text{ P(A n B )= }\frac{5}{9}-\frac{4}{9}=\frac{1}{9}[/tex]so that, we can conclude that the correct answer is:
[tex]\frac{1}{9}[/tex]The coordinates of rhombus abcd are a(-4,-2) b(-2,6) c(6,8) d(4,0). What is the area of the rhombus
Answers
First, graph the rhombus:
Area of a rhombus = Product of diagonals / 2
Find the length of the diagonals:
Distance between points:
[tex]\sqrt[\placeholder{⬚}]{(x2-x1)^2+(y2-y1)2^}[/tex]Diagonal AC
[tex]AC=\sqrt[\placeholder{⬚}]{(6-(-4))^2+(8-(-2))^2}[/tex]AC= 10√2
Diagonal BD
[tex]BD=\sqrt[\placeholder{⬚}]{(4-(-2))^2+(0-6)^{^2}}[/tex]BD=6√2
Area= AC x BD / 2
Area = [(10√2) x (6√2)]/2
Area = 60
A. 2x-1+3x=0 B. 5x-1=0 How can we get Equation B from Equation A ?
Answers
By taking x as a common factor we get:
2x - 1 + 3x = 0
(2 + 3)*x - 1 = 0
5x - 1 = 0
How to get equation B from equation A?Let's start with equation A, it is:
2x - 1 + 3x = 0
If we group like terms, we will get:
(2x + 3x) - 1 = 0
Now we can take x as a common factor in the left term, so we get:
(2x + 3x) - 1 = 0
(2 + 3)*x - 1 = 0
Now we simplify the sum in the left term:
(2 + 3)*x - 1 = 0
5x - 1 = 0
This is equation B.
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PLEASE HELP!! Will mark brainliest!!
Answers
Answer:
-1, 0, 1, 2
Step-by-step explanation:
[tex]\sqrt{5-5} -1\\\sqrt{0} -1\\0-1\\-1[/tex]
[tex]\sqrt{6-5} -1\\\sqrt{1} -1\\1-1\\0[/tex]
[tex]\sqrt{9-5} -1\\\sqrt{4} -1\\2-1\\1[/tex]
[tex]\sqrt{14-5} -1\\\sqrt{9} -1\\3-1\\2[/tex]
Astronomers use a light year to measure distance. a light year is the distance light travels in one year. The speed is approximately 300,00km/sec. how long will it take a rocket traveling 63,000km/hr to reach Alpha Centauri (the ⭐ closest to Earth other than the ). Note: Alpha Centauri is approximately 4.34 light years from Earth. which is 4.11 x 10^13 km away (when using scientific notation). one light year is 9.46 x 10^12 km.
Answers
Speed of light = 300,000 km/sec
Rocket's speed = 63,000 km/hr or 6.3 x 10⁴ km/hr
Alpha Centauri distance from Earth = 4.11 x 10¹³ km
One light year (distance) = 9.46 x 10¹² km
To solve for the time it takes it travel, we can manipulate the speed formula.
[tex]\begin{gathered} \text{speed}=\frac{dis\tan ce}{\text{time}} \\ \text{time}=\frac{dis\tan ce\text{ }}{\text{speed}} \end{gathered}[/tex]We already have the distance of Alpha Centauri from Earth written above. We also have the speed of the rocket written above too. We will substitute those values to the formula.
[tex]\begin{gathered} \text{time}=\frac{4.11\times10^{13}\operatorname{km}}{6.3\times10^4\operatorname{km}\text{ /hr}} \\ \text{time}=0.6523809524\times10^9 \\ \text{time}=6.52\times10^8\text{ hr} \end{gathered}[/tex](8.59×10 4 )−(3.2×10 3 )
Answers
Answer:
The answer is 8.27×10^4
Answer: 8.27×10^4
Step-by-step explanation:
Use the graph of f below. Assume the entire function is graphed below.Find ƒ(−1).ƒ(−1) = 0ƒ(−1) = −3ƒ(−1) = −1ƒ(−1) = −5
Answers
Answer:
ƒ(−1) = −3
Explanation:
From the graph, we have the point (-1, -3).
This means that:
• When x=-1
,• The value of f(x)=-3.
Therefore, the value of f(-1) is -3.
PEOPLE PLEASE HELP GO ON MY PROFIL AND HELP ME with the things i put today i really need help please help HELP HELP HELP ME PLEASE I NEED HELP!
Answers
Step-by-step explanation:
i don't knowhdjkedgeike
3|y|+(y-x²)
if x = -1 and y = -5
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Parentheses first
-1^2= 1
-5-1=-6
Then we do |-5|
(the absolute value of -5 is 5)
So then we’re left with 3 x 5 - 6
Which would equal 8
Answer: 9
Please help ASAP starting to fall behind! This equation really confuses me and if someone could help that would be amazing!
Given the function:
f(x) = x² - 4x - 2
Find the following values.
a) f(2)
f(2)=
b) f(4)
f(4)=
c) f(-3)
f(-3)=
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The values of the functions is ,
(a) f(2) = -6
(b) f(4) = -2
(c) f(-3) = 19
In the question ,
it is given that the function is f(x) = x² - 4x - 2
we have to find the value of f(2) , f(4) , f(-3)
Part(a)
to find f(2) , we substitute x = 2 in the function
On substituting , we get
f(2) = 2² - 4*2 - 2
= 4 - 8 - 2
= 4 - 10
= -6
Part(b)
to find f(4) , we substitute x = 4 in the function f(x)
On substituting , we get
f(4) = 4² - 4*4 - 2
= 16 - 16 -2
= 0 - 2
= -2
Part(c)
to find f(-3) , we substitute x = -3 in the function
On substituting , we get
f(2) = (-3)² - 4*(-3) - 2
= 9 + 12 -2
= 9 + 10
= 19
Therefore , The values of the functions is , (a) f(2) = -6 , (b) f(4) = -2 , (c) f(-3) = 19
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Find all possible values of the expression 1/a
1/2
__<1/a<__
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The possible values of the expression 1/a = 1/2 is 2
The expression is the simple fraction form = 1/a
The expression is the defined as the a sentence with a minimum of two variables and at least one math operation.
The simple fraction is fraction that contains the numerator and denominator as whole number. The term one the top of the simple fraction called as the numerator and bottom term is called as the denominator.
Here it is given that
1/a = 1/2
Therefore the value of a = 2
Hence, the possible values of the expression 1/a = 1/2 is 2
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Determine if the correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship.The number of times a person exercises per week and their endurance.
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Answer:
[tex]\text{Positive Correlation}[/tex]Explanation:
Here, we want to determine the type of correlation relationship
From science, we understand that engaging in exercise helps internal organs to function better. These are the sources of endurance
Exercising for a couple of more times, all things being equal means there will be more endurance. We can largely say that, for most people, it is expected that the higher the number of time spent exercising, the higher the endurance being built
Thus, we can conclude there is a positive correlation between the two
i need help with this sorry I cant give much
Answers
Answer:
[tex]\frac{11}{20}[/tex]
Step-by-step explanation:
2[tex]\frac{3}{4}[/tex] ÷ 5
Convert mixed number fraction to improper fraction
[tex]\frac{11}{4}[/tex] ÷ 5
To divide fractions we turn the second fraction (the one you want to divide by) upside down (this is now called a reciprocal) and we multiply
[tex]\frac{11}{4}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{11}{20}[/tex]
30. Solve for x: 7^/10 = 2, approximate to 4 digitsa. 6.325 b. 3.256 c. 3.265 d. 3.652 e. 3.562
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• Solution
[tex]7^{\frac{x}{10}}=2[/tex]
To solve for x, we take the logarithm of both sides.
[tex]\log 7^{\frac{x}{10}}=\log 2[/tex]Applying the law of logarithm to the equation above;
[tex]\log a^b=b\log a[/tex][tex]\begin{gathered} \log 7^{\frac{x}{10}}=\log 2 \\ \frac{x}{10}\log 7=\log 2 \\ \text{Dividing both sides by log 7;} \\ \frac{x}{10}=\frac{\log 2}{\log 7} \\ \frac{x}{10}=\frac{0.3010}{0.8451} \\ \frac{x}{10}=0.3562 \\ \text{Cross multiplying the equation;} \\ x=0.3562\times10 \\ x=3.562 \end{gathered}[/tex]Therefore, the approximate value of x is 3.562
The correct option is E.
This math question please
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A triangle has 2 angles measuring 40 degrees and 50 degrees. What is the measure of the 3rd angle and classify the triangle.
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A triangle has all three angles summing up to 180. If two of the sides measure 40 degrees and 50 degrees, then the third side measures as follows;
[tex]\begin{gathered} 40+50+A=180 \\ A=180-40-50 \\ A=90 \end{gathered}[/tex]The third angle, which is labelled as angle A measures 90 degrees, and that means the triangle is a "right angled triangle."
10. Evaluate (14-2)÷3(2-3) - 2²Mark only one oval.A. OB. 2C. 20D. 22
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Order of the operations: parentheses, exponentials, division and multiplication, addition and subtraction.
1. Solve operations in parentheses:
[tex]=12\div3\cdot6-2^2[/tex]2. Solve exponentials:
[tex]=12\div3\cdot6-4[/tex]3. Solve division:
[tex]=4\cdot6-4[/tex]4. Solve multiplication:
[tex]=24-4[/tex]5. Solve subtraction:
[tex]=20[/tex]Then, the solution for the given expression is 20Answer: Answer is 20( please make me brainliest i just did this all in my head)
Step-by-step explanation: soo (14-2) =12 12divided by 3=4 so (2*3)= 6 so 4x6=24 24-2*2 =20 (2*2)=4 so 24-4=20 well this is confusing but i tried my best so hope my answer wasn't toooo confusing lol :)
IMAGE ATTACHED. On average, Ian drinks 5/6 of a 6-ounce glass of water in 5 minutes. How much water does he drink, in glasses per hour? please help
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Step-by-step explanation:
multiply 5 by 12 to get 60 minutes or 1 hour
60/6 will equal 10
Ian will drink 10 glasses of water per hour
If the measures of two angles of a triangle are 96° and 29°, what is the measure of the third angle?
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Answer: measure of the third angle is 55 degrees
Step-by-step explanation: the sum of all interior angles in a triangle is always 180 so, 96+29+x=180.
125+x=180
x=55
Solve the inequality for x. Show each step of the solution.
12(x+3)>4x-8
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Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
12x+36>4x−8
Step 2: Subtract 4x from both sides.
12x+36−4x>4x−8−4x
8x+36>−8
Step 3: Subtract 36 from both sides.
8x+36−36>−8−36
8x>−44
Step 4: Divide both sides by 8.
8x/8 > -44/8
Therefore your answer will now equal [tex]x > \frac{-11}{2}[/tex]
[tex]{ \boxed{ \pink{ \sf{x > - \frac{11}{2}}}}}[/tex]
Step-by-step explanation:
The given inequality is, [tex]{ \green{ \sf{12(x + 3) > 4x - 8}}}[/tex]
[tex]{ \star}[/tex]Step 1: Simplify both the sides of inequality.
[tex]{ \green{ \sf{12x + 36 > 4x - 8}}}[/tex]
[tex]{ \star}[/tex]Step 2: Now Subtract 4x from both sides.
[tex]{ \purple{ \sf{12x+36−4x> { \cancel{4x}−8{ \cancel{−4x}}}}}}[/tex]
[tex]{ \purple{ \sf{8x+36>−8}}}[/tex]
[tex]{ \star}[/tex]Step 3: Subtract 36 from both sides.
[tex]{ \blue{ \sf{8x+{ \cancel{36}{ \cancel{−36}}}>−8−36}}}[/tex]
[tex]{ \blue{ \sf{8x>−44}}}[/tex]
[tex]{ \star}[/tex]Step 4: Divide both sides by 8.
[tex]{ \orange{ \sf{ \frac{ \cancel8}{ \cancel8} x > - \frac{ \cancel{44^{ \blue{ \tt{11}}}} }{ \cancel8_{ \blue{ \tt{2}}} }}}} [/tex]
[tex]{ \boxed{ \red{ \sf{x > - \frac{11}{2}}}}} [/tex]
Working alone, it takes Kristen 10.2 hours to harvest a field. Kayla can harvest the same field in 16.5 hours. Find how long it would take them if they worked together.
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ANSWER:
13.35 hours
EXPLANATION:
Given:
Time Kristen takes to harvest = 10.2 hours
Time Kayla takes to harvest = 16. 5 hours
Let X represent the time it would take them to work together.
Here, to find the time it would take them if they worked together, let's find their mean time, using the formula below:
[tex]X\text{ = }\frac{Time\text{ taken by kristen + Time taken by Kayla}}{2}[/tex][tex]\begin{gathered} X\text{ = }\frac{10.2\text{ + 16.5}}{2} \\ \\ X\text{ = }\frac{26.7}{2} \\ \\ X\text{ = }13.35\text{ hours} \end{gathered}[/tex]It would take them 13.35 hours if they worked together.
The table shows deshawna's science grade during four grading periods. How much greater was the percentage change in her grade from grading period 1 to 2 than from grading period 2 to 3. round to nearest tenth
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Since the percent grade in period 1 was 92% and in period 2 was 96%, then the percent change from period 1 to 2 was 4%.
Since the percent grade in period 2 was 96% and in period 3 was 99%, then the percent change from period 2 to 3 was 3%.
Since 4% is 1% greater than 3%, then the percent change from grading period 1 to 2 was 1% greater than the percent change from grading period 2 to 3.
Therefore, the answer is: 1.0%.
When using elimination, when should you add the equations, and when should you subtract the equations?
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Answer:
In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.
You're very welcome my sir or ma'am
Please help i really need help please
Answers
Answer:
plane CGF and ABC
Step-by-step explanation:
30 POINTS!!! PLEASE ANSWER ASAP!!!
Caroline is going to drive from her house to City A without stopping. Caroline plans to drive at a speed of 50 miles per hour and her house is 200 miles from City A. Make a table of values and then write an equation for D, in terms of t, representing Caroline’s distance from City A t hours after leaving her house.
Please also provide what t equals. Thank you
Answers
Answer:
0, 150, 100, 50 | T=200-50x
Step-by-step explanation:
So you start with 200 miles to go and you are going 50 miles per hour. In the first hour, 50 miles would have been completed meaning that you subtract 50 miles from the remaining distance. Same with the other hours.
To put that in an equation, You would start with 200 and for every hour(x)you would subtract 50.
Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. The sample of 2100 bacteria selected from this population reach the size of 2249 bacteria in two and a half hours. Find the hourly growth rate parameter.This is a continuous exponential growth model.Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
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In this problem, we have a continuous exponential growth model
so
the equation is of the form
[tex]y=a(e)^{kt}[/tex]where
a is the initial value ------> a=2,100
y is the number of bacteria
x ----> number of hours
so
[tex]y=2,100(e)^{kt}[/tex]For x=2.5 hours, y=2,249 bacteria
substitute
[tex]2,249=2,100(e)^{(2.5k)}[/tex]solve for k
apply ln both sides
[tex]\ln (\frac{2,249}{2,100})=2.5k\cdot\ln (e)[/tex]k=0.0274
convert to percentage
k=2.74%1. -V64Name the set or sets or numbers to which each real number belongs?
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1) an integer and a rational number
Explanation:
1) -√64 = -4
This is an integer.
Integers include natural numbers, the opposites of this numbers and zero.
-4 is a negative number and the opposite of the natural number 4
Hence -4 is an integer.
-4 can be written as a fraction:
-4 = -4/1
Hence, it is also a rational number