Answer:
The height is 4.5ft
Step-by-step explanation:
Given
[tex]Initial\ Height = 3\ ft[/tex]
[tex]Growth = 0.5\ ft[/tex] yearly
Required
Determine the height in 3 years
First, we need to determine the growth equation.
Represent the height with h and the years with x
So:
[tex]y = Initial\ Height + Growth * x[/tex]
[tex]y = 3 + 0.5 * x[/tex]
[tex]y = 3 + 0.5x[/tex]
To solve the required, we have that:
[tex]x = 3[/tex]
[tex]y = 3 + 0.5x[/tex] becomes
[tex]y = 3 + 0.5 *3[/tex]
[tex]y = 3 + 1.5[/tex]
[tex]y = 4.5[/tex]
Hence, the height is 4.5ft
let f(x)= p+ 8/x-q. the line x=4 is a vertical asymptote to the graph of f. what is the value of q and p, if the y intercept is (0,4)?
Answer:
The value of q and p is 4 and -24 respectively.
Step-by-step explanation:
Being [tex]f(x)=\frac{p+8}{x-q}[/tex] , the line x=4 is a vertical asymptote to the graph of f(x). The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.
Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:
x - q= 0
Solving:
x= q
Being the line x=4 the vertical asymptote, then
4=q
Then the function f (x) is:
[tex]f(x)=y=\frac{p+8}{x-4}[/tex]
The y intercept is (0,4). This is, x= 0 and y=4. Replacing:
[tex]4=\frac{p+8}{0-4}[/tex]
Solving:
[tex]4=\frac{p+8}{-4}[/tex]
4*(-4)= p+8
-16= p+8
-16 - 8= p
-24= p
The value of q and p is 4 and -24 respectively.
A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the two pieces of equipment?
Because Five-thirds greater-than three-halves, the slope of the climbing equipment at the gym is greater.
Because Five-thirds less-than three-halves, the slope of the climbing equipment at the playground is greater.
Because Three-fifths greater-than two-thirds, the slope of the climbing equipment at the gym is greater.
Because Three-fifths less-than two-thirds, the slope of the climbing equipment at the playground is greater.
Answer:
I think its D but I'm not that sure about it.
Step-by-step explanation:
Because three fifths less than two thirds, the slope of te climbing equipment at the playground is greater.
Answer:
A)
Step-by-step explanation:
A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally.
Therefore its slope = length of the equipment vertically / length of equipment horizontally
= 6/4 = 3/2 = 1.5
And, A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally.
Therefore slope, = 10/6 = 5/3=1.67 (approx)
Since, >
Therefore, Five-thirds greater-than three-halves, the slope of the climbing equipment at the gym is greater
(I finished the quiz and got it correct, it is A.)
An amusement park charges a $12 parking fee plus 25 per person. What is the total cost for 32 people?
Answer:
The total amount for 32 people is 15.36
Step-by-step explanation:
we know that for 25 people is $12 so we need to find how much it would be for one person. you would need to divide $12 / 25. from this you would get 0.48, so for one person it's 48 cents. next you're going to subtract 25 from 32, this leaves you with seven people who aren't in a group of 25. you then multiply 7 × this equals to 3.36, add 3.36 to $12 and you'll get your total 15.36.
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
Selina has $50. She wants to buy some donuts which cost $2.80 each. How many donuts can she buy?
Answer:
50/2.80= 17
17 dounuts
Hello help with question please :)
Answer:
A
Step-by-step explanation:
slope is (y2-y1)/(x2-x1)
anyhow that comes out to -3/2
the only place that actually applies is in A
Answer:
A
Step-by-step explanation:
6=-3/2×-2+3
6=3+3
6=6
-3=-3/2×4 + 3
-3=-6+3
-3=-3
9 = -d + 17
A.-2
B.8
C.10
D.-8
A rectangular swimming pool has a volume of 1750 ft.³ water is being added to the pool at a rate of about 20 ft.³ per minute. use an equation in point slope form to determine about how long will it take to fill the pool completely if there were already 1125 gallons of water in the pool use the fact that one cubic foot of space holds about 7.5 gallons of water round the answer to the nearest integer if necessary
Answer:
You have a rectangular pool 15 X 30 X 5 feet
The floor of the pool is 15X30 = 450 ft2
Two sides are 5X15 = 2(75) = 150 ft2
Two sides are 5X30 = 2(150) = 300 ft2
Total area to be painted: 900 ft2
(900 ft2)/(250 ft2/gal) = 3.6 gallons
Since we can't purchase .6 gallons we
must purchase 4 gallons of paint
The volume of the pool is 15X30X5 = 2250 ft3
1 ft3 = 7.48 gallons
2250(7.48) = 16,830 gallons of water
The highest elevation in a small country occurs on a mountain 1232 meters above sea level, while the lowest elevation in the same country occurs at -27 meters (below sea level). What is the difference in elevation between the highest and lowest points?
Answer: 1259 meters
Step-by-step explanation:
Highest elevation = 1232 meters
Lowest elevation = -27 meters
The difference in elevation between the highest and lowest points will be:
= 1232 - (-27)
= 1232 + 27
= 1259 meters
Note that (-) × (-) = +
if you use synthetic division for this polynomial: 3x^5-12x^4+12x^3+30x^2-39x-42. What would the answer be?
Answer : x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14
Explanation :
(3x^5-12x^4+12x^3+30x^2-39x-42)/3 = x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14
I don't understand this
Answer:
y=2/3x+3
Step-by-step explanation:
First, you would use the point slope formula : y₂-y₁/x₂-x₁
(5--3)/(3--9)
=8/12
=2/3
Then you would plug it back into the equation along with one of the points. Ex:
-3=2/3(-9)+b
-3=-6+b
3=b
So in conclusion, the formula would come out to y=2/3x+3
Hope this helps! :)
Question in picture solve
Answer:
x= 13.5
Step-by-step explanation:
f(x) = 2x + 9
f(x) = 36
Set the 2 equations equal to each other;
2x + 9 = 36
Subtract 9 from both sides;
2x = 27
Divide both sides by 2;
x = 13.5
Check:
f(x) = 2x + 9
f(13.5) = 2(13.5) + 9= 27 + 9 = 36
Decide whether this statement is always true, never true, or sometimes true, and explain why: In a quadratic equation of the form 0 = ax2 + bx + c, there will be two real solutions if a and c are of opposite signs
Answer:
Always true
Step-by-step explanation:
Here, we want to evaluate if the given statement is true
The discriminant D can be calculated using the formula;
b^2 - 4ac
if D is greater than 0, then we will have only real roots
In a case where a and c are of opposite signs;
then -4ac will always give a positive value which can be added to b^2
This positive value will ensure that D is greater than zero and hence we can have only real roots
So this assertion is always true if a and c are of opposite signs
Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.
Each pair of vertical angles is congruent.
Each pair of corresponding angles is congruent.
Each pair of supplementary angles is congruent.
Each pair of alternate interior angles is congruent.
Answer:
Step-by-step explanation:
Each pair of vertically opposite angles are equal. If you mean vertical angles as in 90 degrees, you should qualify the question
Each pair of alternate interior angles is congruent (think it should be are congruent).
Each pair of corresponding angles is congruent
3. A merchant sold a pen for $6.90, thereby making a profit of 15% on the cost to her. Calculate:
a. the cost price of the pen to the merchant to the nearest cent.
b. the selling price the merchant should request in order to make a 25% profit instead.
Answer:
A.$6.44
B.$8.05
Step-by-step explanation:
A.$6.90/15%=$0.46-$6.90=$6.44
B.$6.44*25%=$1.61+$6.44=$8.05
Answer:
answer for 6.90/15%= 6
answer for 25%= 7.5
Step-by-step explanation: These are answer is all correct there are no mistakes
Will give brainiest
Surds
Step by step explanation please on this question
Make sure to use Surds
Answer:
3
Step-by-step explanation:
You need to multiple 3 by 3 because 3 has an exponent. That makes the 3 into a 9. the square root of 9 is 3 so the answer is 3
-2 (-3x + 3) + 2x = 58
Answer:
x = 8
Step-by-step explanation:
Given
- 2(- 3x + 3) + 2x = 58 ← distribute and simplify left side
6x - 6 + 2x = 58
8x - 6 = 58 ( add 6 to both sides )
8x = 64 ( divide both sides by 8 )
x = 8
EASY QUESTION!!Example 3:
A soccer ball will not move until a player kicks it.
Group of answer choices
Newton's 1st Law
Newton's 2nd Law
Newton's 3rd Law
Give evidence or explain your reasoning for your answer to example #3:
Answer:
this is Newton's first law
Step-by-step explanation:
the soccer ball when kicked keep going forward until friction a person or another object like a wall stops it when the soccer ball is resting non-moving on the ground or stay like that until someone kicks it or another Force acts upon it
A triangle has interior angle measures of 5s, 3s - 9°, and 45°, what is the value of s?
Answer:
s = 18
Step-by-step explanation:
answer plss. will mark the first correct answer as brainliest!!
n is an integer.
Write the values of n such that -15 < 3n<6
Answer:
(-1,-2, -3, -4)
Step-by-step explanation:
-15 < 3n <6
-15 < 3 (-1,-2, -3, -4) <6
3 • -1 = -3
3 • -2 = -6
3 • -3= - 9
3 • -4 = -12
so all these answer still make -15 the lowest value and 6 the highest value.
i really need help!!!! i need answer to c:
Answer:
76.3
Step-by-step explanation:
Answer:
C = 75°
Step-by-step explanation:
The interior angles of a triangle will always add up to 180°, so all we have to do is find the missing variable.
To do this, we first add up the two angles we do know.
—> 65 + 40 = 105
Now that we have the total of the other two angles, simply subtract 105 from 180.
—> 180 - 105 = 75
We now have our answer!
Marvin rides his bike at an average speed of 13 miles per hour. How far can he bike in 8 hours?
Marvin can bike miles in 8 hours.
Answer:
104
Step-by-step explanation:
13x8=104
true or false, x =4 is a critical point to this inequality
x²-4 / x²+9x+20 is greater than/equal to 0
Answer:
true
Step-by-step explanation:
x²-4/x²+9x+20 >=0
cross multiplying the equation we have,
(x²-4/x²+9x+20)*x²+9x+20 >= 0*x²+9x+20
= x²-4>=0
x²>=4
taking the square root of both sides, we have:
√x²>= √4
x >=2
Shel bought a $6,000 desk based on her income she can only afford to pay 600 per month The charge on the unpaid balance is 2% each month Calculate the balance outstanding at the end of month 2
Answer:
$5,030.40
Step-by-step explanation:
The balance outstanding at the end of any month is the due amount after adjusting for interest and loan repayment amount. The amount outstanding can be calculated as:
First month
Due amount = $6,000
Interest at 2% = $6,000*2% = $120
Loan repayment = $600
Reduction in balance = $600 - $120 = $480
Balance remaining = $6,000 - $480 = $5,520
Second month
Due amount = $5,520
Interest at 2% = $5,520*2% = $110.4
Loan repayment = $600
Reduction in balance = $600 - $110.4 = $489.60
Balance remaining = $5,520 - $489.60 = $5030.40
Hence, the balance outstanding at the end of month 2 is $5,030.40
Just part A please as soonnn as possible I need help!!! Thanks!
Answer: -1 ≤ x ≤ 4.
Step-by-step explanation: To solve this problem, we first add 7 to the inequality: -4 ≤ 4x ≤ 16. Then we divide the entire equation by 4 to get -1 ≤ x ≤ 4.
Cameron has a bag of 50 gumdrops. There are 15 peach, 20 strawberry, 5 cherry, and 10 watermelon. Without looking, he picks a gumdrop, looks at it and puts it back, then chooses another without looking. What is the probability he will choose strawberry both times?
an object travels at 20 m/s for 20 seconds. how far has it traveled?
Answer:
400 meters
Step-by-step explanation:
So it goes 20 meters every second. So you would multiply that by 20 seconds to get 400 meters.
Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to a gallon, but cannot decide if she should multiply 6 by 4 or divide 6 by 4 to find her answer. What should she do? Explain or show your reasoning.
Given:
There are 4 quarts in a gallon.
She wants to convert 6 quarts to a gallon.
To find:
Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.
Solution:
We have,
[tex]4\text{ quarts}=1\text{ gallon}[/tex]
[tex]1\text{ quarts}=\dfrac{1}{4}\text{ gallon}[/tex]
[tex]6\text{ quarts}=\dfrac{6}{4}\text{ gallon}[/tex]
Here, 6 quarts is equal to [tex]\dfrac{6}{4}[/tex] gallon. It means we need to multiply 6 by 4 in [tex]4\text{ quarts}=1\text{ gallon}[/tex] to find the answer.
What do you have to increase a number by to change it's place value
Answer:
Build more buildings
Step-by-step explanation:
Answer:
change by a tenth to hundredth to thousandth to the millionth
Step-by-step explanation:
Find the slope of the line passing through the given points using the slope formula. Describe the slope as positive, negative, zero, or undefined.
(−7, −18) and (−7, −4)
Answer:
Undifined
Step-by-step explanation: