Answer:
The domain is (-∞,∞)
The range is [0,∞)
Step-by-step explanation:
The graph will be a V shape facing upwards with a vertex of (-6,0)
Answer:
Domain = (-∞,∞)
Range = [0,∞)
Step-by-step explanation:
A rocket is launched at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+100t+325. What is the independent variable and its units? ______ (meters, seconds, meters per second, or seconds per meters) - select the correct units What is the dependent variable and its units? _______ (seconds or meters) - select the correct units
Answer:
see below
Step-by-step explanation:
h(t)=−4.9t2+100t+325.
The independent variable is the one that we change
t which is in seconds
The dependent variable is the result
h(t) which is in meters
Suppose a projectile is fired from a cannon with velocity v0 and angle of elevation θ. The horizontal distance Rθ it travels (in feet) is given by the following.
=Rθv02sin2θ32
If =v080 /fts, what angle θ (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian. (If there is more than one answer, enter additional answers with the "or" button.)
Answer:
0.25 rad to the nearest hundredth radian
Step-by-step explanation:
Here is the complete question
Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.
R(θ) = v₀²sin2θ/32
If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.
(θ)= ?rad
Solution
R(θ) = v₀²sin2θ/32
If v₀ = 80 ft/s and R(θ) = 95 ft
θ = [sin⁻¹(32R(θ)/v₀²)]/2
= [sin⁻¹(32 × 95/80²)]/2
= [sin⁻¹(3040/6400)]/2
= [sin⁻¹(0.475)]/2
= 28.36°/2
= 14.18°
Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad
= 0.25 rad to the nearest hundredth radian
Answer:
Theta= 0.32 rad
or Theta= 1.25 rad
Step-by-step explanation:
On the Aleks explanation
Find the value of x which would make line A parallel to line B
Answer:
35
Step-by-step explanation:
2 lines are parallel if 5x-54 was equal to 3x+16 so
5x-54=3x+16
5x-3x=54+16
2x=70
x=35
A rectangle has a width that is 3cm less than its length. The perimeter of the rectangle is 22cm. What is the length and width of the rectangle? Please use problem solving algebraically and explain your answer so i can give you the brainliest. :)
Answer:
The length is 7 and the width is 4
Step-by-step explanation:
l = length
w = l-3
P =2( l+w)
22 = 2( l+ l-3)
Combine like terms
22 = 2(2l-3)
Divide each side by 2
22/2 = 2/2 (2l-3)
11 = 2l-3
Add 3 to each side
11+3 = 2l-3+3
14 = 2l
Divide each side by 2
14/2 =2l/2
7 = l
Now find w
w = l-3
w = 7-3 = 4
Answer: length = 7 cm
Width = 4 cm
Step-by-step explanation:
Perimeter = 2 (l + w)
22 = 2 ( l + l-3)
22=2 (2l - 3)
22=4l - 6
22+6 = 4l
4l = 28/4
l = 28/1 = 7 = length
Width = 7-3 = 4
there are 357 seniors in harris high school. The ratio of boys to girls is 7:10. How many girls are in the senior class?
Calculate the final cost of a television if the price is $1700.00 and the tax is 3%.
[tex]answer = 1751\\ selling \: price = 1700 \\ tax \: percent = 3 \: percent \\ tax \: amount = tax \: percent \: of \: \: sp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \: percent \: of \: 1700 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 51 \\ \\ \: final \: cost = 1700 + 51 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1751 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer:
$1751Step-by-step explanation:
Selling price
[tex]1700[/tex]
Tax percent
[tex]3\%[/tex]
Tax amount
[tex]1700 \times \frac{3}{100} \\ = 51 [/tex]
Final cost
[tex]1700 + 51 \\ = 1751[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
log base 4 (x^2) - log base 4 (x)
Answer:
[tex] log_{4}( {x}) [/tex]
Step-by-step explanation:
[tex] log_{4}( {x}^{2} ) - log_{4}(x) \\ = log_{4} \bigg( \frac{ {x}^{2} }{x} \bigg )..(by \: quotient \: rule) \\ = log_{4}( {x}) \\ \\ \purple{ \boxed{ \bold{\therefore \: log_{4}( {x}^{2} ) - log_{4}(x) = log_{4}( {x}) }}}[/tex]
40 as a product of its prime factor can be written like this 40=2x2x2x5 write 60 as a product of its prime factor write in order smallest to larges
Answer:
2^2x3x5
Step-by-step explanation:
Triangle ABC was transformed to be triangle DEF using one transformation. What transformation was performed? translation reflection rotation dilation
Answer:
This is a rotation of 180 degrees
Step-by-step explanation:
A translation is a shift side to side or up and down
A reflection is a mirror image across a line
A dilation is a shrink/enlargement
This is a rotation of 180 degrees. If we rotate around the origin 180 degrees, we will have the same image
Answer:
B. one 90 degree rotation
Step-by-step explanation:
im smart.
Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Answer:
35/70*100 = 50 miles
Step-by-step explanation:
James is one-third the age of his father Steve. The sum of their ages is 68. How old is James and Steve?
Plese explain in simpler words and use 'x' as the variable..
the one who answers first will get brainliest..
Answer: James + Steve = 68. = 17*3 = 51. Answer. Steve is 51 years old.
The length of a rectangle is 6 cm less than twice its width, and the area is 108cm2. Write an equation to solve for the dimensions.
Answer:
see below
Step-by-step explanation:
Let's call the width w. The length would then be 2w - 6. Since the area of a rectangle = length * width the answer is 208 = (2w - 6) * w.
!!Will mark Brainliest!! The points in the table lie on a line. What is the slope of the line?
Answer:
-7/6
Step-by-step explanation:
What is the value angle marked x?
Answer: x =104
Step-by-step explanation:
If we draw the black line shown in the figure, two isosceles triangles are formed, and the base angles of the isosceles triangles are the same. The red angles are the same and the green ones too. The 104 degree angle is the sum of the red angle and the green angle, and x is also the sum of the red angle and the green angle, therefore x = 104.
Brian & Paul share a lottery win of £7800 in the ratio 1 : 4. Brian then shares his part between himself, his wife & their son in the ratio 1 : 6 : 3. How much more does his wife get over their son?
Answer:
The wife gets £468 over the son
Step-by-step explanation:
Firstly, we shall calculate the total amount Brian made from from what he and Paul won.
The ratio is 1:4, meaning for every 2 part Brain takes, Paul takes 4
Paul’s share is thus 1/5 * 7800 = 7800/5 = £1560
Now we have another ratio for sharing the amount Brain has at home.
The total ratio here is 1+6+3 = 10
The share of the wife will be 6/10 * 1560 = 6 * 156 = 936
The son share is half of this which is 936/2 = 468
The difference between their shares is £936-£468 = £468
The perimeter of a square is 48 cm. What is the area in square
centimetres?
2 points
Answer:
144cm²
Step-by-step explanation:
shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $69
Answer: $96.60
Step-by-step explanation:
40% * 69 = markup price
0.4 * 69 = 27.6
Now add it to the wholesale price which is the price the store bought the shoes.
$27.6 + $69 = $96.60
or
100% + 40% = 140%
140% of 69 = ?
1.4 * 69 = $96.60
What should be done first to simplify 11 – 2 + 7 + 5 – 8 + 13
Answer:
I think the first step is to group all the addition first and then you do the subtraction.
Answer:
Remember PEMDAS; parenthesis, exponents, multiplication, division, addition and subtraction.
Step-by-step explanation:
so ti will be;
2+7+5-8+13
27-8
21
find a coordinate of B' after a 180° rotation of the triangle about the origin and then a reflection about the x = 2.
Answer:
B' = (5, -4)
Step-by-step explanation:
The picture is illegible, but we think B is (1, 4).
After rotation 180°, both coordinates are negated, so the point is ...
B" = -(1, 4) = (-1, -4)
After reflection across x=2, the x-coordinate is subtracted from 2·2 = 4:
B' = (4 -(-1), -4)
B' = (5, -4)
find the midpoint of A and b where A has coordinates (2,7) and B has coordinates (6.3)
Answer:
Midpoint of A and B is (4,5).
Step-by-step explanation:
If there are two points (x1,y1) and (x2,y2) on the coordinate plane
then midpoint is given by (x1+x2)/2 , (y1+y2)/2
_____________________________________
here two points are (2,7) and (6,3)
substituting this value in (x1+x2)/2 , (y1+y2)/2
we have,
midpoint (2+6)/2, (7+3)/2
= 8/2 , 10/2 = 4,5
Midpoint of A and B is (4,5).
Suppose that you placed $500 in a bank account at the end of each year for the next 10 years. How much would be in that account at the end of the tenth year if the deposits earned an annual rate of return of 8% each year?
Answer:
5400$
Step-by-step explanation:
First, you need to figure out 8% of 500$.
That is 40$.
Now, you need to multiply 500 by 10, because there are 10 years.
That is 5000$
Now, we need to add the 8% that was added each year. So we do 40$ times 10. 400$
Then we add the 5000 and 400.
The answer is 5400$
I really hope this helped you! So sorry if it doesn't!
-5/3 x(-1/8)weurEzzrtx
Answer:
-5/3 x (-1/8 )= 5/24 = 0.2083333
Step-by-step explanation:
VX
What is the value of x in the equation below?
-3-(-8)-(-2)
4-13
Answer: 0
I didn't see an 'x' so I was very confused but I simplified and got "0"
Solve the equation. y + 6 = –3y + 26
Answer:
y = 5
Step-by-step explanation:
y + 6 = –3y + 26
Add 3y to each side
y+3y + 6 = –3y+3y + 26
4y +6 = 26
Subtract 6 from each side
4y+6-6 = 26-6
4y = 20
Divide by 4
4y/4 = 20/4
y = 5
The solution of y in the equation y + 6 = - 3y + 26 is,
⇒ y = 5
We have to given that;
Expression is,
⇒ y + 6 = - 3y + 26
Now, We can simplify as;
y + 6 = - 3y + 26
Add 3y to each side
y + 3y + 6 = - 3y + 3y + 26
4y + 6 = 26
Subtract 6 from each side
4y + 6 - 6 = 26 - 6
4y = 20
Divide by 4
4y/4 = 20/4
y = 5
Thus, The solution of y in the equation y + 6 = - 3y + 26 is,
⇒ y = 5
Learn more about the equation visit:
brainly.com/question/28871326
#SPJ6
Find the midpoint of the segment with the given endpoints.
(-1,-1) and (10,4)
[tex]answer \\ = (4.5 , 1.5) \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]
2.
85, 78, 82, 76, 89, 77, 78, 42, 83, 84, 87, 85, 78
What effect does the outlier have on the mode of this data?
1. The mode increases.
2. The mode decreases.
3. The mode cannot be calculated.
4. The mode remains the same.
Answer:
the mode remains the same
Step-by-step explanation:
42 is outlier.
mod is the most repetitive number of a number string, and outlier does not change it.
the mode remains the same.
While Diane was visiting her sister in Kingwood, she bought a bunch of balloons that was marked down 20% from an original price of $5. If the sales tax in Kingwood is 8.5%, what was the total cost of the bunch of balloons? $
Answer:
$4.34
Step-by-step explanation:
Given the information:
The original price: $5Discount : 20% Tax: 8.5%We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:
= the original price (100% - discount rate)
= 5(100% -20%)
= $4
The tax amount she need to pay is:= The actual price*tax rate
= $4*8.5%
= $0.34
=> the total cost of the bunch of balloons :
The actual price + tax price
= $4 + $0.34
= $4.34
Hope it will find you well.
PLZZZ HELPPP
Kim and Josh can clean a house together in 3 hours. If it takes Kim 7 hours to clean the house by herself, how long would it take Josh to clean the house alone? Leave your answer in improper fraction form, then convert to a decimal.
Answer: 28/3 hours
Step-by-step explanation:
From the question, Kim and Josh can clean a house together in 3 hours while Kim alone uses 7 hours to clean the house by herself.
Kim's hourly rate will be to clean the house = 1/7 per hour.
In 4 hours:
Kim will have completed = 1/7 × 4 = 4/7 of the house
This mean that Josh completes:
1 - 4/7 = 3/7 of the house.
Josh's hourly rate will now be:
1/4 × 3/7 = 3/28 of the house per hour.
From Josh to clean the house alone, he will use:
= 1 ÷ (3/28)
= 1 × 28/3
= 28/3 hours
Josh will use 28/3 hours to clean the house alone?
i suck at geo please help
Answer:
It's B
Step-by-step explanation:
Because you see a reflection would show the traingle flipped translation would mean the traingle is in a totally different space and rotation would mean the shape is rotated and so B is left and so B is the correct answer.
What is this problem
Answer:
[tex]m=A-\frac{2n}{Z}[/tex]
Step-by-step explanation:
Multiply by 2:
2n = Z(A - m)
Divide by Z:
[tex]\frac{2n}{Z} =A-m[/tex]
Subtract A:
[tex]-m=\frac{2n}{Z}-A[/tex]
Multiply by -1:
[tex]m=A-\frac{2n}{Z}[/tex]
