Answer:
Step-by-step explanation:
If y is proportional to x,
y ∝ x
y = kx
k = [tex]\frac{y}{x}[/tex]
Here, k = Proportionality constant
For y = -8 and x = -4,
k = [tex]\frac{-8}{-4}[/tex]
k = 2
For y = -4 and x = -2
k = [tex]\frac{-4}{-2}[/tex]
k = 2
For all values of x and y proportionality constant = 2.
For x = 0 and y = 0,
If we graph a line passing through these points, the line will pass through the origin (No y-intercept).
And we know that any line passing through the origin represents the proportional relation between x and y variables.
Therefore, given table represents the proportional relation.
12. A store charges a restocking fee for any returned item based upon the
item price. An item priced at $300 has a fee of $15. What percentage of the
item price is the restocking fee?
A. 4%
B.5%
C.6%
D.7%
A baseball is hit in the air. Its height above the ground is described by the function
Ht=-16t^2+45t+5, where H(t) represents the height in feet of the ball t seconds after it is hit. To the nearest hundredth of a second, for how much time will the ball be in the air? Find algebraically.
help guys plz i suck at math, also step by step is needed Branliest is the reward like always
Answer:
2.9195
Step-by-step explanation:
To find the time we need to equate the function the zero and solve for t:
[tex] { - 16t}^{2} + 45t + 5 = 0[/tex]
Using the general formula we have that:
[tex]t = \frac{ - 45 + \sqrt{ {45}^{2} - 4 ( - 16)(5)} }{2( - 16)} \\ = \frac{ - 45 + \sqrt{2345} }{ - 32} [/tex]
then:
[tex]t = \frac{ - 45 + \sqrt{2345 } }{ - 32} = - 0.107 \\ or \\ t = \frac{ - 45 - \sqrt{2345} }{ - 32} = 2.9195[/tex]
Since the time has to be positive we conclude that the ball is in the air 2.9195 seconds.
Victor wants to buy fertilizer for his yard. The yard is 45 feet by 55 feet. The direction on the bag of fertilizer say that one bag will cover 1,250 square feet. How many bags of fertilizer should Victor buy to be sure that he covers the entire yard? 2 SEE ANSWERS
Answer: 2 bags
Step-by-step explanation:
First find the area of the yard.
The area given the units would be:
= Length * Width
= 45 * 55
= 2,475 ft²
Victor needs enough fertilizer to cover 2,475ft² but each bag covers only 1,250 ft².
The number of bags needed is therefore:
= 2,475 / 1,250
= 1.98
= 2 bags
A university has 40,110 students. In a random sample of 210 students, 14 speak three or more languages. Predict the number of students at the university who speak three or more languages. The expected number of students at the university who speak three or more languages is .
What is the Domain, Range, Decreasing, Increasing, Y-Intercept, X-Intercept, Maximum, and Minimum of the graph shown?
Step-by-step explanation:
I am not able to see the whole graph, but what I could see is that
domain=22
range=11
the x-intercept is there is no x-intercept!
y-intercept is 2
max is 10
minimum is 1
I am so sorry! But if you let me know about the decreasing and increasing values like that are they asking for? The greatest places in the graph where it increases or decreases?
Hope that helps :)
What is the surface area of this triangular pyramid?
Answer:
48.25
Step-by-step explanation:
This is because when finding the area of a triangle it is known as base times height then divide by 2 and since the base is a triangle, multiply 4.3 times 5 which is 21.5 and divide by 2 which is 10.75 and for the top since its also a triangle multply 5x5 which is 25 divide by 2 whicih is 12.5, but there is 3 of them so multiply by 3 and you get 37.5, then add 37.5+10.75 to get 48.25 cm^2
True or false: if two parallel lines are cut by a transversal, each pair of alternate angles are congruent?
Answer: True.
If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent . When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .
find the area of the composite figure 12 yd height 10 yd base
Answer:
120 yd^2
Step-by-step explanation:
1. 12x10= 120
2. 120 yd ^2
there are two containers.container A has 2 blue marbles, 3 green marbles and 5 yellow marbles in container A.container B has 2 blue marbles and 4 yellow marbles in container B. witch container has the greater probability of picking yellow?
What is −4|a - 13| ≤ −56?
Answer:
a ≤ 27
Step-by-step explanation:
If the terminal side of angle θ goes through the point (−313√13,−213√13) on the unit circle, then what is cos(θ)?
Answer
cos(θ) = –313√(13)
Step-by-step explanation:
There is a rule we are to establish first to get the answer right.
If the terminal side of an angle θ in standard position intersects a unit circle A(x, y), then cos(θ) = x and sin(θ) = y.
Therefore, given that the terminal side of angle θ goes through the point (−313√13,−213√13) on the unit circle:
cos(θ) = –313√(13)
A stock can go up, go down, or stay unchanged. How many possibilities are there if you own 3 stocks?
Answer:
There are 27 different possible outcomes.
Step-by-step explanation:
Assuming that you have 3 different stocks:
First, we need to find the number of events and the number of possible outcomes for each event.
Here we can assume that each one of the stocks is a event, and the number of possible outcomes for each one are:
Stock 1: 3 options (up, down, stay)
Stock 2: 3 options (up, down, stay)
Stock 3: 3 options (up, down, stay)
The total number of possible outcomes is equal to the product of the numbers of options for all the events.
Then the total number of possibilities is:
C = 3*3*3 = 27
Find the Equation of the lines.
find the value of x. round to the nearest tenth. the diagram is not drawn to scale
The base of a rectangular pyramid is 13 inches long and 12 inches wide.
The height of the pyramid is 8 inches. What is the volume of the
pyramid?
Answer:
Area = 1/2 (Base) (Height)
Area = 1/2 (12 in) (8 kn)
Area = 1/2 (96 in)
Area = 48 in^2
Volume = (Area) (Length)
Volume = (48 in^3) (13 in)
Volume = 624 in^3
Answer:
V=L•W•H
3=13·12·8
3=416
=416³
Step-by-step explanation:
Finding the Volume of a Rectangular Pyramid
Your overall formula for finding the volume of these multi-faceted shapes is V = (l x w x h) / 3. Basically, your first step is finding the area of the base by multiplying length by width. Once you determine the area of the base, multiply that by the height.The general volume of a pyramid formula is given as: Volume of a pyramid = 1/3 x base area x height.
If the cube has a side length s, then each pyramid has an s by s base and height s/2, and its volume is 1/6 the volume of the cube, which is 1/3 base times height. ... They are congruent, so have volume 1/3*base*height as the base is a square the side of the cube and the height is the side of the cube as well.Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.#CarryOnLearning
trigonometry please help! work need to be shown
Answer:
x = 5.56
Step-by-step explanation:
Apply trigonometric function to find x
Reference angle = 46°
Hypotenuse = 8
Adjacent length = x
Apply CAH:
Cos 46 = Adj/Hyp
Cos 46 = x/8
8 × Cos 46 = x
5.55726696 = x
x = 5.56 (nearest hundredth)
Smoothies weren't cutting it so we went to Red Robin to order a burger. Our bill was $5.79. Avon has a 5.25% tax and our
waitress earned a 15% tip. What was the total bill?
Answer:
$6.96
Step-by-step explanation:
5.25% of 5.79
5.79 × 5.25/100 = $0.303975 or $0.30
15% of 5.79
5.79 × 15/100 = $0.8685 or $0.87
total
$5.79 + $0.30 + $0.87 = $6.96
solve the following equation -3(3 + 6b) = 36 +3b
Answer:
Exact Form:
b=-5/7
Decimal Form:
b=-2.142857
Mixed Number:
b=-2 1/7
A painter can paint 120 square feet with 4 gallons of paint. Which statement about the unit rate is true?
Answer:
30 (ft^2/gal)
Step-by-step explanation:
The "unit rate" in this problem is (number of square feet covered) / (1 gallon paint).
Here we have the unit rate
120 ft^2
---------------- = (30 ft^2)/gal or 30 (ft^2/gal)
4 gallons
Jonathan has $3,500. He deposited part of the money in his savings account and part in his checking account. If the amount he deposited into his savings account is $800 more than twice the amount he deposited into his checking account, how much did he deposit into his checking account?
Answer:
$900
Step-by-step explanation:
the steps are above
The measure of angle CBD is 140 degrees. What is the measure of angle CBA?
B
Answer:
its a acute 120 degree angle
Can someone help me with this. Will Mark brainliest.
Answer:
The lines are perpendicular.
Step-by-step explanation:
If the lines are parallel, then the slopes are equal
If the lines are perpendicular, then the slopes are negative reciprocals
If neither of the above occur, then the lines are neither parallel or perpendicular.
y = 2x + 3 is in slope-intercept form, so the slope = 2
2y + x = 6
Solve for y: 2y = -x + 6
y = -1/2(x) + 3 so the slope = -1/2
2 and -1/2 are negative reciprocals, so the lines are perpendicular.
Note: Negative reciprocals have a product of -1. 2(-1/2) = -1
Multiply o binomial by a trinomial
(x-1) (x²+x+1)
Answer:
Is this helpful or wrong?
Answer:
hey there, the product is x³ - 1
how to solve this wokr
Answer:
[tex]2a^{2} +4ab+2b^2[/tex]
Step-by-step explanation:
(a + b)(2a + 2b)
2a^(2) + 2ab + 2ab +2b^2
[tex]2a^{2} +4ab+2b^2[/tex]
'Five times a number minus eight is 17.5.
Answer:
5.1
Step-by-step explanation:
you need to work backwards.
so do 17.5 + 8 then divide by 5 to get 5.1
i hope this helps :)
james bought an ipad for $450 his friends carl buys the same one for 12% off how much did carl pay
Answer:
$365.99
Step-by-step explanation:
$450 - 12% = $365.99
Brainly for the correct answer!
Is [tex]\frac{1}{0}[/tex] a real fraction?
Answer:
No
Step-by-step explanation:
There is no numerator, no denominator, no division symbol because it is not a legal fraction. The denominator can never be zero in any fraction.
Please help I will give brainliest
Answer:
x ≥ -6
Step-by-step explanation:
The arrow is directing towards the right, in which the line contains number greater than -6. Moreover the circle on top of -6 is closed, proving that it is 'greater than or equal to'. (if it was greater than, the circle on top of the number would be open; the inner part of the circle wouldn't be shaded)
Please answer I’ll make brainliest
Question:
In triangle FGH, the measure of angle H = 90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of angle G?
___________________________________________________
Solution:
The triangle FGH should look like that in the attachment.
Tangent of angle G = opposite side/adjacent side
= FH/HG
= 55/48
graph the point (-10,-7) on the coordinate plane