Answer:
Answer:
Proportion b. 5/3 = 40/w is the answer and w = 24 kg.
Step-by-step explanation:
it is given in the question that a metal bar was 5 meter long and has a mass of 40 kg. Mandy makes a bar again by using same metal of length 3 meters and mass w.
Since metal of the rods are same so weight per meter of the rod will be same.
mass per meter of 5 meter rod = 40/5
mass per meter of 3 meter rod = w/3
Both are same so
40/5 = w/3 is the proportion Mandy will use.
By using this proportion Mandy will get w = 3×40/5 = 24 kg
Step-by-step explanation:
#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
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The diameter of a circle is 9 ft. Find the circumference and round it to the nearest tenth.
Answer:
9*3.14=28.26
Step-by-step explanation:
Hope this Helps!
Answer:
[tex]C\approx28.27ft[/tex]
Step-by-step explanation:
[tex]C=\pi d\\C=\pi(9)\\C=9\pi\\C\approx28.27[/tex]
Thus, your circumference is about 28.27 ft
The perimeter of rectangle ABCD is 60 cm. The ratio of its length to its width is 3:2. Find the length,
width and area of the rectangle.
Length = cm
Width = cm
Area -cm
Answer:
Length = 18 cm
Width = 12 cm
Area = 216 cm^2
Step-by-step explanation:
The perimeter of a rectangle is twice it's length(l) plus twice it's width(w):
Perimeter = 2l + 2w
We are told that (l/w) = (3/2) [ratio of its length to its width is 3:2]
Therefore:
60cm = 2l + 2w
---
(l/w) = (3/2)
We can rewrite this as: l = (3/2)w
----
Now substitute this expression into the perimeter equation:
60 cm = 2l + 2w
60 cm = 2((3/2)w) + 2w
60 cm = 3w + 2w
60cm = 5w
w = 12 cm
l = (3/2)w
l = (3/2)*12
l = 18 cm
Area = 1*w
Area = (12cm)(18cm) = 216 cm^2
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
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 =-240transfer 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.
Solve the system of equations by graphing. Check the solution. y=-2x-3. y=2x+5. Graph each equation on the same coordinate plane. At what point do the graphs of the lines appear to intersect?
Answer:
[tex]\left \{ {{x=-2} \atop {y=1}} \right.[/tex]
Step-by-step explanation:
[tex]\left \{ {{y=-2x-3} \atop {y=2x+5}} \right.[/tex]
Substitute into one of the equations
[tex]-2x-3=2x+5[/tex]
Rearrange variables to the left side of the equation
[tex]-2x-2x=5+3[/tex]
Combine like terms
[tex]-4x=5+3[/tex]
Calculate the sum or difference
[tex]-4x=8[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]x=-\frac{8}{4}[/tex]
Cross out the common factor
[tex]x=-2[/tex]
Substitute into one of the equations
[tex]y=-2\times\left(-2\right)-3[/tex]
Calculate
[tex]y=1[/tex]
The solution of the system is
[tex]\left \{ {{x=-2} \atop {y=1}} \right.[/tex]
I hope this helps you! Don't forget to check the picture I uploaded as well
:)
Answer:
[tex]\displaystyle [-2, 1][/tex]
Step-by-step explanation:
Use the Elimination method sinse both coefficients in the system are OPPOCITES:
[tex]\displaystyle \left \{{{y = -2x - 3} \atop {y = 2x + 5}} \right.[/tex]
2y = 2; 1 = y [Plug this y-coordinate back into the system to get the x-coordinate of −2 (−2 = x).]
I am joyous to assist you at any time.
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
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)
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.
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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
Write a rule to describe each transformation.
I do not know how can I get help ?
Tyrell has a bankruptcy on his credit report and therefore pays higher interest rates on his current loans. he calculates that the extra money he pays in additional interest each year, if invested at the rate of 2.5% for one year, could earn him simple interest totaling $300. how much does tyrell pay in additional interest each month? a. $90 b. $100 c. $1,000 d. $12,000
Answer:
C. $1,000edge ⬇️
If invested at the rate of 2.5% for one year. The amount that tyrell pay in additional interest each month is: c. $1,000.
Additional interest each monthFirst step
Amount for one year=Simple interest amount/Interest rate
Amount for one year=$300/0.025
Amount for one year=$12,000
Second step
Additional interest each month=$12,000/12 months
Additional interest each month=$1,000
Therefore the amount that tyrell pay in additional interest each month is: c. $1,000.
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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)
Write 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:
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
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
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
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.
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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
Which expression is equivalent to 2(3 −4)−(8+3)?
Answer:
-40
Step-by-step explanation:
Answer:
-13
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
What is the answer to 16 times 1/100
Answer:
16/100 or simplified is 4/25
Step-by-step explanation:
Tìm x,y nguyên dương 5x – xy + 3y = 22.
Answer:
x = 22-3y/5-y
y=-22-5x/x-3
Step-by-step explanation:
Solve for x:
1) Subtract 3y from both sides.
5x - xy = 22 - 3y
2) Factor out the common term x.
x(5 - y) = 22 - 3y
3) Divide both sides by 5 - y.
x = 22-3y/5-y
Solve for y:
1) Subtract 5x from both sides.
=xy + 3y = 22 - 5x
2) Factor out the common term y.
- y=(x-3)=22-5x
3) Divide both sides by x-3.
-y=22-5x/x-3
4) Multiply both sides by -1.
y=-22-5x/x-3
product of x and y divided by the difference of a and b
Answer:
x*y/a-b
Step-by-step explanation:
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:
Myah is 4 feet 2 inches tall. Her sister, Ally,is 10 inches taller. Their little brother is half as tall as Ally. How tall is their little brother in feet and inches?
Answer:
2feet
Step-by-step explanation:
There brother is 2 feet and 6 inches
Formula: 12 inches = 1 foot
4'2 + 10 inches = 5 foot
Half of 5 foot would be 2'6 since there are 12 inches in a foot.
HELP ME PLEASE EXPLAIN HURRY!!!!
Identify the angle type, the relationship, and the equation. Thank you!
Someone help me pls I'll give out brainliest pls don't answer if u don't know
(1/5)^3 in expanded form.
Answer:
1/125
Step-by-step explanation: