At starting hot-air balloon starts 6 feet.
So, at t = 0 , h = 6 feet.
Now, distance travelled per minute is 20 feet.
So, extra distance travelled in t minutes is 20t feet.
Now,
Total height = Staring height + increase in height w.r.t time.
h = 6 + 20t
Therefore, the height h in feet as a function of time t in minutes is h = 6 + 20t .
Hence, this is the required solution.
Algebra 2
Please help me solve this.
someone PLEASE PLEASE HELP!! I need this in one hour!! (20 POINTS)
PLEASE SOMEONE HELP
Answer:
X=22 (Should make the rest of the problem easy to solve)
Step-by-step explanation:
22x2 + 1 = 45
22 + 5 = 27
45 + 27 = 72 (The perimiter)
[tex]\large\text{Hello there! :)}[/tex]
[tex]\text{Formula for the perimeter: P = 6x + 12}\\\\\text{Dimensions: l = 21, w = 15}\\\\\text{Verification below.}[/tex]
[tex]-=-=-==-=-=-=-=-=-=-=-[/tex]
[tex]\text{Begin by writing an equation for the perimeter of the rectangle.}\\\\\text{Formula: P = 2l + 2w}\\\\P = 2(2x + 1) + 2(x + 5)\\\\P = 4x + 2 + 2x + 10\\\\\text{Combine like terms:}\\\\\boxed{P = 6x + 12}\\\\\text{Solve for the dimensions:}\\\\72 = 6x + 12\\\\\text{Subtract 12 from both sides:}\\\\60 = 6x\\\\\text{Divide both sides by 6:}\\\\x = 10\\\\\text{Substitute in 10 for x in the equations for each side length:}\\\\l = 2x + 1\\\\l = 2(10) + 1\\\\\boxed{l = 20 + 1 = 21units}[/tex]
[tex]w = (10) + 5\\\\\boxed{w = 15 units}[/tex]
[tex]\text{Use the formula for the area of a rectangle to verify. A = l * w:}\\\\\boxed{A = 15 * 21 = 315 units^{2} }[/tex]
An investment company pays 7% compounded semiannually. You want to have $24000 in the future. How much should you deposit now to have that amount 5 years from now?
Answer: You should deposit about $17014 or little more
Step-by-step explanation:
use the compound interest formula.
A= p( 1 + r/n)^nt
Where A is the amount you will save over some years .
p is the principal or start up amount mostly known as the initial fee.
r is the interest rate represent by a decimal so 7% will be 0.07.
n is the number of times the interest is being applied annually. Semiannually means twice. So n will be 2.
T is the time the money will elapsed. So in 5 years the money will elapse. Now input the values into the formula and solve for p the principal.
24,000 = p( 1 + 0.07/2)^2*5
24,000= p( 1 + 0.035)^10
24000 = p( 1.035)^10
24000 = p( 1.41059876062) Divide both sides by 1.41059876062
p = 17104
Which means you should deposit about $17014 or little more
What is the value of 3 minus (negative 2)? A number line going from negative 5 to positive 5. –5 –1 1 5What is the product? (6) (negative 12) –82 –72 72 82
Answer: 5, 72
Step-by-step explanation:
Given the following questions :.
The value of 3 minus (negative 2)
3 - (-2) = 3 + 2 = 5
A number line going from Negative 5 to positive 5, what is the product of 6(negative 12)
6 × (-12) = - 72
The product of 6 and negative 12 is -72.
Here, we have,
The value of 3 minus (negative 2) can be calculated as follows:
3 - (-2) = 3 + 2 = 5.
Therefore, the value of 3 minus (negative 2) is 5.
Regarding the number line going from -5 to 5:
-5 -1 1 5
The product of 6 and negative 12 can be calculated as follows:
6 * (-12) = -72.
Therefore, the product of 6 and negative 12 is -72.
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In a survey, 80 students were asked to name their favorite subject. Thirty students said that History was their favorite. What percent of the students surveyed said that History was their favorite subject?
I misread the question so I am removing my answer.
Answer:
I think the answer is 20 percent
Step-by-step explanation:
if 80 is 100% than you have to make 30 a %
Does someone know how to do this?
p(x)= -12x -36; -3
Answer:
p(- 3) = 0
Step-by-step explanation:
Substitute x = - 3 into p(x) , that is
p(- 3) = - 12(- 3) - 36 = 36 - 36 = 0
PLEASE ANSWER: find the slope of the line through each pair of points. (1,6) and (8,-1)
Answer: -1
Step-by-step explanation:
To find the slope fo the line with the given points, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{-1-6}{8-1}=\frac{-7}{7} =-1[/tex]
Now, we know that the slope is -1.
-15=2t-11 does any one know it please
Add 11 to both sides:
-4=-2t
divide 2 by both sides
2=t
Hope it helps! Comment if you have any questions!
Answer:
t = -2
Step-by-step explanation:
Move all terms that don't contain t to the right side and solve
Explain their mistake. Will give brainliest
Answer:
a²+b² =c²
10²+z²=13²
z² = 13²-10²
z =square root of (169-100)
this is a right triangle and 13 side is the hypotenuse (the longest side)
How can unit rates and proportional reasoning be used to solve problems?
yw + yq = r
What is y equal to?
Answer:[tex]y=\frac{x}{w+q}[/tex]
Step-by-step explanation:
Solve for y .
K=5yz
help
Answer: y=K/5z
Step-by-step explanation:
To solve for y, you need to use algebraic properties to isolate y.
K=5yz [divide both sides by 5z]
K/5z=y
y=K/5z
solve for x: |12x + 12|=18
Answer:
x = 1/2 or x = -5/2
Step-by-step explanation:
Solve for x over the real numbers:
abs(12 x + 12) = 18
Hint: | Eliminate the absolute value.
Split the equation into two possible cases:
12 x + 12 = 18 or 12 x + 12 = -18
Hint: | Look at the first equation: Isolate terms with x to the left hand side.
Subtract 12 from both sides:
12 x = 6 or 12 x + 12 = -18
Hint: | Solve for x.
Divide both sides by 12:
x = 1/2 or 12 x + 12 = -18
Hint: | Look at the second equation: Isolate terms with x to the left hand side.
Subtract 12 from both sides:
x = 1/2 or 12 x = -30
Hint: | Solve for x.
Divide both sides by 12:
Answer: x = 1/2 or x = -5/2
I need help ASAP.
3+2-(6-(1+1)
Answer:
1
Step-by-step explanation:
3+2-(6-(1+1)
3+2-(6-2)
3+2-4
1
Answer:
1.
Step-by-step explanation:
i got confused me explaining it but I can verify the answer is 1.
I use 1.48 inches of ribbon to make 4 necklaces. How much ribbon did I use for each necklace?
A fruit dessert contains rasberries and strawberries in the ratio 1:2. There are 400 g of strawberries in the dessert. a) How many grams of rasberries are there in the dessert? b) How much fruit is there altogether in the dessert?
Answer:
a) 200 g
b) 600 g
Step-by-step explanation:
Given
Raspberry : Strawberry Ratio = 1 : 2 Strawberry = 400 ga) Raspberry = half of strawberry as per ratio
400 g / 2 = 200 gb) Total of fruit
400 g + 200 g = 600 gAn object is moving at a speed of 9 centimeters every 5.5 minutes. Express this speed in miles per day. Round your answer to the nearest hundredth.
An object is moving at 9 centimeters every 5.5 minutes have a speed of 0.01 mile per day.
Speed is the ratio of distance travelled to time taken. Speed is given by:
Speed = distance/time
Given that the 9 cm is covered every 5.5 minutes, hence:
1 mile = 160934 cm;
9 cm = 9 * 1/160934 = 9/160934 mile
1 day = 1440 minutes
5.5 minute = 5.5 * 1/1440 = 5.5/1440 day
Hence:
Speed = distance/time
Speed = (9/160934 mile)/(5.5/1440 day)
Speed = 0.01 mile per day
An object is moving at 9 centimeters every 5.5 minutes have a speed of 0.01 mile per day.
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Can you please help me with 2,3,4 and 5. Will mark brainliest.
simplify the following expressions ( combine like-terms )
Answer:
x + 2y
Step-by-step explanation:
Step 1: Write expression
-3x + 2y + 5x - x
Step 2: Combine like terms (x)
2x + 2y - x
x + 2y
Multiply.
(2.1×102)×(3.5×105)
Answer:
78,718.5
Step-by-step explanation:
2.1*102=214.2
3.5*105=367.5
214.2*367.5=78,718.5
All of the following equations have the same solution except _____.
-10 = -3 m + 2
2 - 3 m = -10
-3 m + 2 = -10
3 m + 2 = -10
Answer:
All of the following equations have the same solution except 3m + 2 = -10.
Step-by-step explanation:
What is the value of the expression below when y
7 and z = 5?
y + 10z
Answer:
57
steps:
10 x 5= 50
7 + 50 =57
Which number is greater than square root of one hundred fifty five?
Answer:
try 3
Step-by-step explanation:
How can you rewrite square root 2
Answer:
2/6
Step-by-step explanation:
6x10-4 in standard notation
Answer:
The Answer is 2(3x^10-2) Hope this helps :)
-by-step explanation:
Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2 1/4 , k). What value of k makes these segments perpendicular?
Answer: [tex]k=18\dfrac{8}{11}[/tex].
Step-by-step explanation:
If a line passing through two points, then
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Endpoints of segment MN have coordinates (0, 0) and (5, 1).
Slope of MN [tex]=\dfrac{1-0}{5-0}=\dfrac{1}{5}[/tex]
The endpoints of segment AB have coordinates [tex]\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)[/tex] and [tex]\left(-2\dfrac{1}{4} , k\right)[/tex].
[tex]A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)[/tex]
[tex]B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right)[/tex].
Slope of AB [tex]=\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}[/tex]
[tex]=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}[/tex]
[tex]=\dfrac{4k-9}{4}\times \dfrac{44}{-145}[/tex]
[tex]=4k-9\times \dfrac{11}{-145}[/tex]
[tex]=\dfrac{44k-99}{-145}[/tex]
Product of slopes of two perpendicular segments is -1.
Slope of MN × Slope of AB = -1
[tex]\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1[/tex]
[tex]\dfrac{44k-99}{-725}=-1[/tex]
[tex]44k-99=725[/tex]
[tex]44k=725+99[/tex]
[tex]k=\dfrac{824}{44}[/tex]
[tex]k=\dfrac{206}{11}[/tex]
[tex]k=18\dfrac{8}{11}[/tex]
Therefore, the value of k is [tex]k=18\dfrac{8}{11}[/tex].
Answer:
k=21
Step-by-step explanation:
Find the slope of MN which is 1/5, (use the slope formula.)
Use the slope formula for AB using k as y_2
Substitute and you get k=21
21-2.25/-2.25-1.5=-5
The lines are perpendicular because the slopes are the negative reciprocal of one another.
A pilot needs to know the maximum height an aircraft can fly at. The cabin has
been tested and is safe to a height of 15679 m.
Round this height appropriately: to a whole number of kilometers and to a whole 100m. Please help.
Give two real-world situations that could be represented by the value 30
Answer:
There are lot of real world situations that could be represented by the value of 30.
Step-by-step explanation:
1- I went to a office for interview they said to me they will give 30$ as a salary per day.
2- I went to a shop and bought a cofee box. shopkeeper demanded me 30$ for it.
These are the best examples of real-world situations that could be represented by the value 30
Answer:
here this is so u can give brainliest to him
Step-by-step explanation:
which number line shows the inequalaty n>-3
Answer:
the number line shows inequality
Find the center-radius form of the equation of the circle described and graph it.
center (0, -1), radius 4
Type the center-radius form of the equation of the circle.
(Type an equation. Simplify your answer.)
Answer:
x^2 + (y+1)^2 = 16
Step-by-step explanation:
The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.
Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:
(x-0)^2 + (y+1)^2 = 4^2
x^2 + (y+1)^2 = 16
The required center-radius form of the equation of the circle is x² + (y + 1)² = 16.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k).
Here
The equation of the circle is given by
(x - h)² + (y - k)² = r² - - - - (1)
where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Substitute center and radius in equation 1,
(x - 0)² + (y + 1)² = 4²
(x )² + (y + 1)² = 16²
Thus, the required center-radius form of the equation of the circle is x² + (y + 1)² = 16.
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