Answer:
-3.11666666667
Step-by-step explanation:
remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
combine the constants. hope this helps you :)
Ronald throws a football at an intial velocity of 20 ft per sec. He releases the ball at a height of 5 feet.
1) What is the height of the football at time 2.25 seconds?
2) When does this football reach the highest point of its flight?
3) When does this football hit the ground?
Answer:
1) the football already reached the ground
2) t = 0.625 seconds
3) t = 1.46 seconds
Step-by-step explanation:
Data
initial velocity, Vi = 20 ft/sinitial height, Hi = 5 feet.gravitational acceleration, g = 32 ft/s²1) time, t = 2.25 s
To relate these variables we need to use the next equation:
H = Hi + Vi*t - 1/2*g*t²
H = 5 + 20*2.25 - 1/2*32*2.25²
H = -31 ft
that is, 31 ft under the line of reference. This means that the football already reached the ground
2) At the highest point the final velocity (Vf) is zero.
To relate these variables we need to use the next equation:
Vf = Vi - g*t = 0
Vi = g*t
t = Vi/g
t = 20/32
t = 0.625 s
3) When the football hits the ground, ΔH = -5 ft. Then:
ΔH = Vi*t - 1/2*g*t²
-5 = 20*t - 1/2*32*t²
0 = -16t² + 20t + 5
Using quadratic formula:
[tex] t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]
[tex] t = \frac{-20 \pm \sqrt{20^2 - 4(-16)(5)}}{2(-16)} [/tex]
[tex]t = \frac{-20 \pm 26.83}{-32}[/tex]
[tex]t_1 = \frac{-20 + 26.83}{-32}[/tex]
[tex] t_1 = -0.21 [/tex]
[tex]t_2 = \frac{-20 - 26.83}{-32}[/tex]
[tex] t_2 =1.46 [/tex]
The first result is discarded because it doesn't have physical sense. So, the football hit the ground after 1.46 seconds
Find the inverse of the equation y=2/3x-6
Answer:
2/3x−6
Step-by-step explanation:
PLEASE SOLVE THE FOLLOWING PROBLEM! IT'S SUPER EASY! |2x−3| =5
Answer:
We can split this into 2 "cases": 2x - 3 = 5 and 2x - 3 = -5 because you can find the absolute value of negative numbers as well. Solving the two cases we get x = 4, -1.
Answer:
4, -1
Step-by-step explanation:
2x-3=5
x=4
2x-3=-5
x=-1
Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The table (function 1) shows the relationship between the amount of money (y) remaining in Sandra’s money box and the number of months (x):
Number of Months Amount Remaining (in $)
(x) (y)
1 50
2 45
3 40
4 35
The equation (function 2) shows the relationship between the amount of money, y, remaining in Jenny’s money box and the number of months, x:
Function 2
y = −6x + 50
Which statement explains which function shows a greater rate of change?
Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Function 2 shows a greater rate of change because Jenny spends $50 each month and Sandra spends $15 each month.
Function 1 shows a greater rate of change because Sandra spends $15 each month and Jenny spends $44 each month.
Function 1 shows a greater rate of change because Sandra spends $5 each month and Jenny spends −$6 each month.
Answer: “Function two shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.”
The football club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $6.00
, and bags of cookies cost $4
, and sales equaled $40
in total. There were 3 more bags of cookies than candy sold.
Find the number of bags of candy and cookies sold by the football club.
Answer:
Candy=x=2.8 bags
Cookies=3+2.8=5.8 bags
Step-by-step explanation:
Price
Bag of candy=$6.00
Bag of cookies=$4
Total sales=$40
Quantity
Let cookies=y=3+x
Let candy=x
There are 3 more bag of cookies than candy sold
Total sales=price*quantity of x + price*quantity of y
40=$4*(3+x) + 6*x
40=12+4x+6x
40=12+10x
40-12=10x
28=10x
X=28/10
x=2.8 bags
The radius of a circle is 7m. Find the circumference to the nearest tenth(urgent)
Answer:
The circumference of the circle is 43.96m. This number rounded to the nearest tenth would make the circumference 44m.
Step-by-step explanation:
First, we must know the formula for finding the circumference of a circle.
[tex]Circumference = d\pi[/tex]
We are given the radius. In order to find the diameter, then we have to multiply the radius by 2 because the radius is half the size of the diameter.
7 * 2 = 14
Now, let's plug in 14 into our formula. We will 3.14 for pi.
[tex]Circumference=(14)\pi[/tex]
[tex]Circumference=43.96[/tex]
This number rounded to the nearest tenth is 44.
Answer:
Answer is 44 m
Answer is rounded to the nearest tenth place.
Step-by-step explanation:
[tex]given \: that \\ radius \: of \: circle \: (r) = 7 \: m \\ we \: know \: that \\ circumference \: = 2\pi \: r \\ on \: substituting \: r = 7 \: m \: in \: formula \\ we \: get \\ circumference \: = 2\pi \times 7 \\ = 14\pi \\ substitute \: \pi = \frac{22}{7} \\ = 14 \times \frac{22}{7} \\ = 2 \times 22 \\ = 44 \: m \\ answer \: is \: rounded \: to \: nearest \: tenth.[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Given: Angle1 and Angle2 are complements,
Angle2 and Angle3 are complements, and mAngle1 = 35°.
Prove: mAngle3 = 35°
4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right.
Complete the missing parts of the paragraph proof.
By the , we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of angles. Then, using the property, the measure of angle 3 is degrees.
Answer:
Step-by-step explanation:
complementary angles =90 degrees
Angle 2+ angle 1 = 90 degrees
Angle 1 =35 degrees
Angle 2 = 90-35 = 45 degrees
Angle 2 + angle 3 = 90
Angle 3= 90-45 = 35 degrees ( proved)
I hope this help
Answer:
Given: Angle1 and Angle2 are complements,
Angle2 and Angle3 are complements, and mAngle1 = 35°.
Prove: mAngle3 = 35°
4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right.
Complete the missing parts of the paragraph proof.
By the
✔ congruent complements theorem
, we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of
✔ congruent
angles. Then, using the
property
✔?
, the measure of angle 3 is
✔ 35
degrees.
Step-by-step explanation:
PLEASE HELP ME!....Check all that are possible units for measuring time in the metric system. A. Millisecond B. Hour C. Second D. Meter
Answer: A
Step-by-step explanation:
Took the test
f(x)=x g(x)=1
What is the domain of (f/g)(x)?
Answer:
on edge
the first one is x=0 or a
and
all real numbers or C
Step-by-step explanation:
(f/g)(x) ⇒ f(x)/g(x) ⇒ x/1
Therefore, we look at the domain of the function x/1. There will almost always only be a gap if the denominator = 0. However, 1 ≠ 0, so therefore, there are no gaps or endpoints. Therefore, the domain is all real numbers
Answer:
First answer is A
Second answer C
Step-by-step explanation:
Edge 2020
Which expressions are equivalent to -90-60w
Answer:
Two algebraic expressions are equivalent if they always lead to the same result when you evaluate them, no matter what values you substitute for the variables. For example, if you substitute x := 3 in x + x + 4, then you get 3 + 3 + 4, which works out to 10; and if you substitute it in 2x + 4, then you get 2(3) + 4, which also works out to 10.
Step-by-step explanation:
Determine the value of y. answers : A) 46° B) 226° C) 180° D) 134°
Answer:
a) 46
Step-by-step explanation:
The total degrees of a straight line is 180, so if the angle on the other side of y is 134, then you subtract 180-134, to know the y value
180-134=46
The function f(x) is shown in this graph please help because I can’t understand this concept
Answer:
d) the slope of f(x) is greater than the slope of g(x)
Step-by-step explanation:
to find the slope of an equation, you look at its rise/run. for f(x), you can see that from one point (0, 3) to another (1, 1) it goes down 2 values (3 - 1) and over 1 value (0 + 1). because it goes down 2 values, the rise is -2, and because it moves to the side 1 value positively, the run is +1.
-2/+1 = -2. this means the slope of f(x) = -2.
finally, it says the slope of g(x) = -6, and -2 > -6. i hope this helps! :)
Which ordered pair is the solution to the system of equations? {x+2y=−8y=12x−2
Answer:
[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]
Step-by-step explanation:
[tex]x+2y=-8 \\\\y=12x-2[/tex]
Substitute:
[tex]x+2(12x-2)=-8[/tex]
Expand:
[tex]x+24x-4=-8[/tex]
Simplify:
[tex]25x=-4[/tex]
Divide both sides by 25:
[tex]x=-\dfrac{4}{25}[/tex]
Plug this back into one of the original equations to find y:
[tex]-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}[/tex]
The ordered pair that represents this solution is therefore:
[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]
Hope this helps!
Use the distributive property to write the following sum as a product.
17a+17b
Answer:
17(a+b)
Step-by-step explanation:
17 is distributed in the initial equation to both the a and the b
Answer:
17(a+b)
Step-by-step explanation:
Factor out the common term
17a+17b
17(a+b)
EMERGENCY REALLY NEED HELP only answer this one queastion and i will give brainly and 30 points PLEASE HELP ME JESUS
Answer:
boundary lines are parallel
Step-by-step explanation:
When there are no solutions to a system of equations which consists of two lines, it means the lines are parallel, but have different y intercepts. This happens when the boundary lines are parallel
Answer:
The boundary lines are parallel
-98 + -5 - 89 + 5 + 7
Answer:
-180 is your answer.
Step-by-step explanation:
Answer: -180
Step-by-step explanation: I uh, used the calculator app on my phone.
I don’t need you to explain I just need the answer.
Answer:
Yes Yes No Yes
Describe the solutions of 6+y<10 in words.
The value of y is a number less than 4.
The value of y is a number equal to 3.
The value of y is a number less than or equal to 3.
The value of y is a number greater than 4.
Which situation below would represent a negative rate of change:
John's parents put $40 on his school account for lunch. Each day he pays $3 for
lunch. Let y represent the amount of money John has after x days in his school
account.
Judy is babysitting after school and charges $20 a day. Each day she gets paid, she
puts half of what she earns in a savings account. Let y represent the amount of
money Judy has in her bank account after x days.
Answer: John's situation
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each situation.
John’s situation:
The amount of money that John has (y) is equal to his school account (40) minus the product of the number of days (x) and the amount he spends per day( 3)
y =40-3x
As days pass by, John has less money (negative rate of change)
Judy's situation
The amount of money that Judy has in her savings account (y) is equal to the product of the number of days (x) and the amount he saves per day (20/2)
y = x (20/2)
Which expression is equivalent to the given expression?
(6n-5)(3n-3)?
A.36n11
B.54n30
C. 36n30
D.54n11
Answer:
The answer is C = 36n30
Step-by-step explanation:
Create a two column proof for each question. Please help!!
Answer:
In this way it is proved
Which statements are true about exponential decay functions? Check all that apply.
The domain is all real numbers.
As the input increases, the output increases.
The graph is the same as that of an exponential growth function
The base must be less than 1 and greater than 0.
The function has a constant multiplicative rate of change.
Answer: the domain is all real numbers.
The base must be less than 1 and greater than 0.
The function has a consumer multiplicative rate of change.
Step-by-step explanation:
Answer:
A, D, E
Step-by-step explanation:
100% on edg
James has 12.x coconuts. His father asks if he can take 2/3 of all the coconuts. He just received an income of 31 more coconuts. How many coconuts will be eaten?
A. 7.90
B. 69
C. 23
D. 5.98x
Answer:
Option D: 5.98x Coconuts
WILL GIVE BRAINLIEST!! TONS OF POINTS!!
Examine your selected object and the construction you made from 1.08. Which transformations (translations, reflections, or rotations) are present in the construction?
Use complete sentences to describe the transformations present in your construction.
** this should be a well thought out, descriptive, and accurate response.
Answer:
Step-by-step explanation:
In this this construction reflections is present on the 2 line posts by the side. Why I say this is because the line post on the right reflected or translated to the right. Also the little line in the middle was a rotation and dilation, to stay between the posts. So this is why this stool took a translations, reflections, and rotations.
Hope this helps
Juan and Adam go to the movie theater and purchase refreshments for their friends,
Juan spends a total of $130.00 on 10 bags of popcorn and 10 drinks.
Adam spends a total of $56.50 on 3 bags of popcorn and 5 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn
and the price of one drink.
Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
Popcorn = $4.25 per bag, Drink = $8.75
Step-by-step explanation:
p = popcorn
d = drinks
10p + 10d = 130
3p + 5d = 56.50
multiply the second equation by -2 and then solve by elimination
-6p - 10d = -113
4p = 17
p = 4.25
3(4.25) + 5d = 56.50
5d = 43.75
d = 8.75
Answer:
10x + 10y = $130.00
3x + 5y = $56.50
Solution: x=4.25 and y=8.75
Step-by-step explanation:
The variable x will be used here to show the price of each bag of popcorn, while y will be used to represent the price of each drink. First we can solve 10x + 10y = 130 for x:
10x + 10y = 130
10x + 10y + -10y = 130 - 10y (Subtract 10y from both sides)
10x = -10y + 130
Now divide 10 by both sides
x = -y + 13
Next, you will substitute -y + 13 for x in 3x + 5y = 56.5:
3x + 5y = 56.5
3(-y + 13) + 5y = 56.5
2y + 39 = 56.5 (Simplify both sides of the equation)
2y + 39 + −39 = 56.5+ −39 (Add -39 to both sides)
2y = 17.5 (Now divide both sides by 2)
y = 8.75
You can check this by substituing 8.75 for y in x = -y + 13
A colour printer prints 38 pages in 11 minutes. How many pages does it print per minute? round to nearest hundredth.
Answer:
3.45
Step-by-step explanation:
If the printer can print 38 pages in 11 minutes and we want to find how many it prints per minute, we can divide the number of pages printed by the time it took.
So, divide 38 by 11.
38/11 = 3.454545
Round to nearest hundredth: 3.45
Answer:
3.45 pages per minute
Step-by-step explanation:
Take the number of pages and divide by the number of minutes
38 pages/11 minutes
3.45454545 pages/minute
To the nearest hundredth
3.45 pages per minute
WILL GIVE BRAINLIEST! 20 POINTS!
Answer:
The second option
Step-by-step explanation:
Since CD is a perpendicular bisector of AB, D is equidistant from both A and B
Answer:
B.
Step-by-step explanation:
A perpendicular bisector is equidistant from two points. In this case, AD and CD are the same distance.
UGH HELP :(
Use the distributive property to write the expression without parentheses. Then simplify the result, if possible.
5(4x+3)
Answer:
5(4x+3)
5×4x + 5×3
20x+15
HELP ASAP!!!! There is a clip below.
Answer:
7/4 x 3/2 x 1/2 = 1 5/16 or 21/16
Step-by-step explanation:
2a) What is the side length of the following square?*
Answer:
Exact answer: [tex] \sqrt{29} [/tex]
Approximate answer: [tex] 5.385 [/tex]
Step-by-step explanation:
Start at the bottom vertex.
Go up 5 units, then go left 2 units. Now you're at the left vertex.
The vertical segment 5 units long and the horizontal segment 2 units long are the legs of a right triangle. The left side of the square is the hypotenuse of that right triangle.
We now use the Pythagorean theorem to find the length of the hypotenuse.
[tex] c^2 = a^2 + b^2 [/tex]
[tex] c^2 = 5^2 + 2^2 [/tex]
[tex] c^2 = 25 + 4 [/tex]
[tex] c^2 = 29 [/tex]
[tex] c = \sqrt{29} [/tex]
[tex] c \approx 5.385 [/tex]
