Answer:
8.667
Step-by-step explanation:
After 8 weeks, the change in rainwater levels will be 9.6 centimeters.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A container of rainwater is evaporating 1.2 centimeters a week.
After 8 weeks, the change in rainwater levels will be given as,
⇒ 1.2 x 8
⇒ 9.6 centimeters
After 8 weeks, the change in rainwater levels will be 9.6 centimeters.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
#5
A ball is kicked 5 feet above the ground with an initial vertical velocity of 50 feet per second. The function
h(t) = -16+ +50t + 5 represents the height h (in feet) of the ball after seconds. Using a graph, after how many seconds
is the ball 32 feet above the ground? Round your answers to the nearest tenth.
For
Answer:
Step-by-step explanation:
h(t) = 32 = -16t^2 + 50t + 5
-16t^2 + 50t - 27 = 0
Drawing a graph gives time = 0.7 seconds.
The ball is 32 feet above the ground after 2.9 seconds
We have,
To determine the time at which the ball is 32 feet above the ground, we can set the height function h(t) equal to 32 and solve for t:
h(t) = 32
-16t² + 50t + 5 = 32
-16t² + 50t + 5 - 32 = 0
-16t² + 50t - 27 = 0
We can solve this quadratic equation using various methods, such as factoring, completing the square, or the quadratic formula.
Let's use the quadratic formula:
t = (-b ± √(² - 4ac)) / (2a)
Plugging in the values a = -16, b = 50, and c = -27, we have:
t = (-50 ± √(50² - 4(-16)(-27))) / (2(-16))
Simplifying further:
t = (-50 ± √(2500 - 1728)) / (-32)
t = (-50 ± √(772)) / (-32)
Now, we can calculate the two possible solutions:
t ≈ (-50 + √772) / (-32) ≈ 2.85 seconds (rounded to the nearest tenth)
t ≈ (-50 - √772) / (-32) ≈ 0.18 seconds (rounded to the nearest tenth)
Based on the graph of the function, the ball is 32 feet above the ground after approximately 2.9 seconds (rounded to the nearest tenth).
Thus,
The ball is 32 feet above the ground after 2.9 seconds
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
(1/5)^3 in expanded form.
Answer:
1/125
Step-by-step explanation:
The expression x[3y-2(z-w)-y] is equivalent to:
Answer:
hey Hey Im the Hero to you 2x⋅(y−z+w)
Answer :D
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
x • ((3y - 2 • (z - w)) - y)
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2y - 2z + 2w = 2 • (y - z + w)
Final result :
2x • (y - z + w)
ASAP
Select the correct answer.
Given any two events, E1 and E2, what does the probability P(E1 ∪ E2) represent?
A.
One of the events occurs, or both occur.
B.
Neither event occurs.
C.
One of the events occurs but not both.
D.
Both of the events occur.
Answer:
a is the answer
Step-by-step explanation:
The equation of P(E1 ∪ E2) that represents the condition that the mutually exclusive events is one of the events occurs, or both occur which is correct option(A).
What are Mutually Exclusive events?Mutually Exclusive events is defined as in probability the particular addition rule is applicable when two occurrences are incompatible with one another. It claims that the probability of either event is equal to the probability of each event separately.
If E₁ and E₂ are said to be mutually exclusive events then the probability of an event E₁ occurring or the probability of event E₂ occurring is given as P(E₁) + P(E₂) :
P(E₁ ∪ E₂) = P(E₁) + P(E₂)
Hence, the equation of P(E1 ∪ E2) that represents the condition that the mutually exclusive events is one of the events occurs, or both occur.
Learn more about mutually exclusive events here:
https://brainly.com/question/12947901
#SPJ2
what is 2x+x+x+2y×3y×y simplified
Answer:
4x+6y³
Step-by-step explanation:
give me thanks, please;)
Answer:
NOTHING
Step-by-step explanation:
Given the figure below, find the values of x and z.
Answer: z = 107; x = 5
Step-by-step explanation:
z = 107 They are vertically opposite angles, which they are equal.
z + (6x + 43) = 180
1. Plug in 107 for z.
107 + (6x + 43) = 180
2. Get rid of parentheses.
107 + 6x + 43 = 180
3. Sum up the number in the left sides.
6x + 150 = 180
4. Subtract 150 from both sides.
6x = 30
5. Divided 6 from both sides.
x = 5
What is the value of the expression 6z2+2z+10 when z=3?
Hi there! Hope this helps, and if it does, please mark brainliest!
Answer:
346
Step-by-step explanation:
6z2+2z+10
(6 x 3)^2 + 2 x 3 + 10
18^2 + 12 + 10
324 + 22
346
Emma had 132 marbles.12 of them were blue and 14of them were red.the rest were white.how many white marbles did emma have?
Answer:
106 white marbles
Formula:
(Blue)+(Red)=(Answer)
(Total Marbles)-(Answer)=(White)
Work:
12 + 14 = 26
132 - 26 = 106
Evaluate the expression for the given values of the variables:
4(c + 5) - f^4; c = -1, f = 4
Answer:
-240Step-by-step explanation:
Given
4(c + 5) - f^4c = -1, f = 4Substituting values
4(-1 + 5) - 4^4 =4*4 - 256 =16 - 256 =-240Write a linear equation in slope-intercept form that passes through the points (-11, -5) and (1, -2).
Write any fractions in the following form: (ex: 2/3).
Answer:
y=1/4·x+-2 1/4
Step-by-step explanation:
What is the answer to 16 times 1/100
Answer:
16/100 or simplified is 4/25
Step-by-step explanation:
Question 13
Which of the following is an equivalent equation obtained by completing the square of the expression below?
x^2 + 6x - 8 = 0
Answer:
B) (x + 3)^2 = 17
Step-by-step explanation:
To complete the square you need to put x + or - half of the x coefficient.
So here it would be (x + 3)^2. However, we're trying to find x^2 + 6x - 8 = 0, not x^2 + 6x + 9 = 0, which is what (x + 3)^2 expands to. So we need to -9 from x^2 + 6x + 9 = 0 and add -8 from the original equation.
This simplifies to (x + 3)^2 - 9 - 8 = 0 --> (x + 3)^2 - 17 = 0
Then all you need to do is rearrange to give: (x + 3)^2 = 17
Write a rule to describe each transformation.
I do not know how can I get help ?
the endpoints of st are (2,22) and T(4,2). What are the coordinates of the midpoint st?
Answer: (3,12)
Step-by-step explanation:
1. Add both y-coordinates
2. Add both x- coordinates
3. Divide both by two
Answer should be (3,12)
what is the number twelve thousand , six hundred and seventy one in figures
Hi! I hope you're enjoying your day!
First, twelve thousand is written like this:
12,000
Now, six hundred looks like so:
600
Put the numbers together:
12,600
Now, seventy-one looks like so:
71
Put all the numbers together:
[tex]\boxed{\boxed{\bold{12,671}}}[/tex]
Hope everything is clear.
If you have any questions, please ask.
#LearningIsFun
[tex]\rule{250}{2}[/tex]
The answer in figures is 12671
Find the one arithmetic means between a and b
Answer:
[tex]\frac{1}{2}[/tex] (a + b)
Step-by-step explanation:
The arithmetic mean is the average of the 2 numbers, that is
[tex]\frac{a+b}{2}[/tex] = [tex]\frac{1}{2}[/tex] (a + b)
What is the resistance in a circuit when the current is 0.5 ampere? Ohms
Answer:
24 Ohms
Step-by-step explanation:
Resistance is a function of amperes. For each amp, there is one and only one value for resistance.
It works the other way, too.
E=IR (well-known relationship). If IR=12, R=12/I
R=E* (1/I)
When the current is 0.5 amp, R=12/0.5 - 24 ohms
Two friends shared 1/3 of water equally how much water did each friend get
Answer:
1/6
Step-by-step explanation:
1/3 equals 2/6 then two friends share the 2/6 and it's 1/6
Hope this helped :)
Solve the following quadratic function by factoring
f(x)=4x^(2)-9
Both solutions are valid, so the solutions to the quadratic function [tex]f(x) = 4x^2 - 9[/tex] are x = -3/2 and x = 3/2.
To solve the quadratic function [tex]f(x) = 4x^2 - 9[/tex] by factoring, we set the expression equal to zero and then try to factor it.
Step 1: Set f(x) equal to zero:
[tex]4x^2 - 9 = 0[/tex]
Step 2: Factor the quadratic expression:
The expression [tex]4x^2 - 9[/tex] is in the form of a difference of squares, which can be factored as follows:
[tex]a^2 - b^2 = (a + b)(a - b)[/tex]
In our case, a = 2x and b = 3:
[tex]4x^2 - 9 = (2x + 3)(2x - 3)[/tex]
Step 3: Set each factor equal to zero and solve for x:
First factor: 2x + 3 = 0
Subtract 3 from both sides:
2x = -3
Divide both sides by 2:
x = -3/2
Second factor: 2x - 3 = 0
Add 3 to both sides:
2x = 3
Divide both sides by 2:
x = 3/2
Step 4: Check the solutions:
Plug the values of x back into the original equation to verify:
For x = -3/2:
[tex]f(-3/2) = 4(-3/2)^2 - 9\\f(-3/2) = 4(9/4) - 9\\f(-3/2) = 9 - 9\\f(-3/2) = 0\\For x = 3/2:\\f(3/2) = 4(3/2)^2 - 9\\f(3/2) = 4(9/4) - 9\\f(3/2) = 9 - 9\\f(3/2) = 0[/tex]
Both solutions are valid, so the solutions to the quadratic function f(x) = [tex]4x^2 - 9[/tex] are x = -3/2 and x = 3/2.
To know more about quadratic function:
https://brainly.com/question/29775037
#SPJ2
transfer transfer the system of equations by forming a matrix equation.
2x - 3y = 19
x + 2y = -1
he multiplies the left side of the coefficient matrix by the inverse matrix.
how does he proceed to the solution?
Answer:
Step-by-step explanation:
[tex]\begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}^{-1}\times \begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}\times \begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7} \begin{bmatrix}2 & 3 \\ -1 & 2\end{bmatrix}\times \begin{bmatrix}19\\ -1\end{bmatrix}[/tex]
Since, [tex]\begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}^{-1}=\frac{1}{7}\begin{bmatrix}2 & 3\\ -1 & 2\end{bmatrix}[/tex]
And [tex]A^{-1}A=I[/tex]
[tex]\begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7}\begin{bmatrix}2 & 3\\ -1 & 2\end{bmatrix}\times \begin{bmatrix}19\\-1 \end{bmatrix}[/tex]
[tex]\begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7}\begin{bmatrix}35\\ -21\end{bmatrix}[/tex]
[tex]\begin{bmatrix}x\\y \end{bmatrix}=\begin{bmatrix}5\\ -3\end{bmatrix}[/tex]
Therefore, x = 5 and y = -3 will be the value of variables.
6(-2) (-3) PLEASE HELP ASAP!!!!!!!!!!
Answer:
6×6
=36
Step-by-step explanation: Negative multiplied by negative is positive.
Answer:
36
Step-by-step explanation:
6 times -2 = -12
-12 times -3 = 36
Need help asap whoever helps big thank you!
Answer:8.9
Step-by-step explanation: y=2.2 +3.5 =6.7 +0.18
y= 8.9
good luck
Someone help me pls I'll give out brainliest pls don't answer if u don't know
Amber simplified the expression (a4+7a−16)−(12a3−5a+3) below. Amber made her first error at,
Problem: (a4+7a−16)−(12a3−5a+3)
Step 1: a4+7a−16−12a3+5a−3
Step 2: a4−12a3+7a+5a−16−3
Step 3: −11a+7a+5a−16−3
Step 4: −11a+12a−16−3
Step 5: −11a+12a−19
Answer:
It’s step 3 became she forgot to add a^4 in the problem when solving
i need this now asap
Answer:
Step-by-step explanation:
either 150.7 or 40
Which choice is the solution to the inequality below?
11x > 22
O A. x> 2
O B. x 22
O c. x> 2
O D. x > 231
Please help I didn’t study for this.
Answer:
A. x>2
Step-by-step explanation:
11x>22
x>22/11
x>2
amy bill and cara each played a game
amys score was 10 times bills score
caras score was half of amys score
write down the ratio of amys score to bills score to caras score
give your answer in simplest form
product of x and y divided by the difference of a and b
Answer:
x*y/a-b
Step-by-step explanation:
I went to Wegmans wit
$12. How many TV dinners
can I get if each one costs
$1.50
Answer:
8
Step-by-step explanation:
Answer: 8
Step-by-step explanation:
12/1.50=8 TV dinners
The speed of an object can be found by dividing the distance traveled by the time it took. It takes Jamal $36$ seconds to skate once around a $500\text{ }\text{m}$ rink. If it takes Tory $40$ seconds to skate the same distance, what is the difference in their speeds?
Answer:
Difference = 13.9 m/s
Step-by-step explanation:
Speed of an object = distance traveled/time taken
Jamal takes 36 seconds to skate 500 m rink. Let his speed is v. So,
[tex]v=\dfrac{500\ m}{36\ s}\\\\=13.89\ m/s[/tex]
Tory takes 40 seconds to skate 500 m rink. Let his speed is v'. So,
[tex]v'=\dfrac{500\ m}{40\ s}\\\\=12.5\ m/s[/tex]
The difference in their speeds,
D = 13.89 - 12.5
= 1.39 m/s
Hence, the difference in their speeds is 13.9 m/s.