Answer:
t = 0.293 s and 14.52 s
Step-by-step explanation:
The heights of the ball in feet is given by the equation as follows :
[tex]S = -2.7t^2+40t+6.5[/tex]
Where t is the number of seconds after the ball was thrown.
We need to find is the ball 18 ft above the moon's surface.
Put S = 18 ft
[tex]-2.7t^2+40t+6.5=18\\\\-2.7t^2+40t=18-6.5\\\\-2.7t^2+40t-11.5=0[/tex]
It is a quadratic equation. Its solution is given by :
[tex]t=\dfrac{-40+\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)},\dfrac{-40-\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)}\\\\t=0.293\ s,14.52\ s[/tex]
So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.
Solve for x and explain how I show work
Answer:
x = 100
Step-by-step explanation:
(x - 20) + x = 180
2x - 20 = 180
+ 20 +20
2x = 200
x = 200/2
x = 100
The boundry of a park is shaped like a circle
Answer:
what is the question? a circle is 360 degrees if that is what you're asking.
The formula A = Pe^rt calculates the amount an investment earning a nominal rate of r compounded continuously is worth. Show that the amount of time it takes for the investment to double in value is given by the expression ln2/r.
Answer:
t = In2/ r
Step-by-step explanation:
Given the formula : A = Pe^rt
For investment to double ;
Final amount (A) = 2 * initial investment (p)
A = 2p
Hence,
2p = pe^rt
2 = e^rt
Take the In of both sides
In2 = rt
Divide both sides by r
In2 /r = rt /r
In2/ r = t
t = In2/ r ; Hence, the proof
The formula for obtaining the time taken when the amount is double the principal is ln2/r.
Given that;
A = Pe^rt
A = amount
P = principal
r = rate
t = time
Now we are told that;
A = 2P
Hence;
2P = Pe^rt
2 = e^rt
ln 2 = rt
t = ln2/r (QED)
Learn more: https://brainly.com/question/9352088
Find the scale length of 15cm and 3cm.
Please help if you can thank youuu
Answer: 5
the scale length of 15cm and 3cm is 15/3 = 5
Step-by-step explanation:
A recipe calls for 1 1/2 cups of mayonnaise and 3/8 cups of pecans. How much mayonnaise should be used if 1 cup of pecans is used?
Answer:
4 cups of mayonnaise.
Step-by-step explanation:
The ratio of the amount of pecans comparing reality and the recipe is:
1 : 3/8
= 1/(3/8)
= 8/3
Hence, to find the amount of mayonnaise that should be added:
8/3 * 3/2
= 8/2
= 4 cups
Hope this helped!
How long is 50% of 60 minutes?
Answer:
30 minutes
Step-by-step explanation:
60 divided by 2 = 30
lable min
Solve -0.8(10 - x) = 36
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Linear equation.
Solving we get as,
-0.8(10-x)=36
=> -8 + 0.8x = 36
=> 0.8x = 36+8
=> 0.8x = 44
=> x = 44÷0.8
=> x = 55
x= 55.
The solution of the expression will be;
⇒ x = 55
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ -0.8 (10 - x) = 36
Now,
We can solve the expression as;
The expression is,
⇒ -0.8 (10 - x) = 36
⇒ - 0.8 × 10 + 0.8x = 36
⇒ - 8 + 0.8x = 36
⇒ 0.8x = 36 + 8
⇒ 0.8x = 44
⇒ x = 44 / 0.8
⇒ x = 55
Thus, The solution of the expression will be;
⇒ x = 55
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
10.6n - 45.92 = 18.8 solve for n
Answer:
Step-by-step explanation:
10.6n - 45.92 = 18.8 Add 45.92 to both sides
10.6n = 18.8 + 45.92 Combine like terms on the right
10.6n = 64.72 Divide by 10.6
n = 64.72 / 10.6
n = 6.11
penny reads 10 pages in 1/3 of an hour. What is the unit rate for pages per hour? For hours per page?
Answer: 42 pages
Because
find the side length?
Answer:
4
Step-by-step explanation:
4y+1=5y-3
-1y=-4
y=4
please help me solve this problem.
Answer:
Step-by-step explanation:
There is no solution
Answer: There is no such value of X.
Step-by-step explanation:
If you get this wrong, im sorry but im sure that its the right answer.
Douglas has a box with 49 paper clips.
Of the paper clips, 15 are yellow, 9 are
red, 6 are blue, 11 are orange and 8
are green. Douglas randomly picks 2
paper clips from the box.
If the first paper clip is red, what is the probability that the second paper clip is blue?
Answer:
6/48 is the likely possibility that he will pull out a blue one.
Step-by-step explanation:
The first thing you will look at is how many blue there is and in this case there is 6. All you have to do (if it didn't already) is add up all of the paperclips and put the blue total number to get your answer. So if there was 49 but he drew out one to make it 48. So the answer is 6/48
Complete this sentence In a triangle, the angle with the greatest measure is
always opposite the______
O A. shortest side
B. longest side
C. second-longest side
D. angle with the smallest measure
Answer: B. Longest side.
Step-by-step explanation:
How can parentheses be added to the following equation to make it true?
[tex]8-3*2-1+1=0[/tex]
Step-by-step explanation:
Add parentheses around 1 + 1.
8 - 3 × 2 - (1 + 1) = 0
8 - 6 - 2 = 0
0 = 0
Answer: The answer is 0.
Step-by-step explanation: You'll need to add the parentheses around 1+1.
The solution:
[tex]8-3*2-(1+1)[/tex] 2. [tex]8-6-2[/tex] 3. [tex]0[/tex]you sailed 33.2 units away and found treasure at -22 units find where the ship started x + -33.2 equals -22
Please.help I am on a timer!
Answer:
2 is the asnwer hard to explain have a good TEST!!
Step-by-step explanation:
10 Theo earned £16520 last year and spent 13% of his money on making home improvements.
Find how much money Theo spent on home improvements last year.
Give your answer to the nearest penny.
f
(2)
Answer:
2147.60
Step-by-step explanation:
Dwayne and Alisha both correctly graphed a standard normal curve. Which of the following statements is true?
A) Neither the means nor the standard deviations of Dwayne’s and Alisha’s graphs must be the same.
B)The means of Dwayne’s and Alisha’s graphs must be the same but not the standard deviations.
C) The standard deviations of Dwayne’s and Alisha’s graphs must be the same but not the means.
D)Both the means and the standard deviations of Dwayne’s and Alisha’s graphs must be the same.
Answer:Both the means and the standard deviations of Dwayne’s and Alisha’s graphs must be the same.
Step-by-step explanation:
The solution is, the function y=10+×. is plotted below.
What is a function?A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
here, we have,
The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.
It is a straight line because the degree of the variable or its maximum power is one.
Put x = 0
y = 10 + 0 = 10, therefore one point (0,10)
Put y = 0
0 = 10 +x
Another point since x = -10. (-10,0)
As shown in the graph below, a straight line should be drawn through both locations.
Any point on the line that does not satisfy the equation is a nonexistent point.
Hence the function y=10+×. is plotted below.
Learn more about the function, by the following link.
brainly.com/question/25638609
#SPJ5
Complete question:
Dwayne graphed the equation y=10+×. Which point does the graph not pass through?
Solve the equation 3/4x + 3 -2x = -1/4+1/2x+5
If necessary: Combine Terms
Apply Properties: Add, Subtract, Multiply, Divide
Answer:
x = -1
Step-by-step explanation:
3/4x + 3 -2x = -1/4 + 1/2x + 5
3/4x + 3 -2x = 19/4 + 1/2x
3x + 12 - 8x = 19 + 2x
-5x + 12 = 19 + 2x
-5x - 2x + 12 = 19
-7x = 19 - 12
-7x = 7
x = -1
By solving the algebraic equation [tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5[/tex], x = -1.
What is algebraic equation?Algebraic equation is statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.
[tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5\\\\\frac{3}{4}x-2x-\frac{1}{2}x = -\frac{1}{4}+5-3\\\\\frac{3x-8x-2x}{4} = \frac{-1+20 - 12}{4} \\\\-\frac{7x}{4} = \frac{7}{4}\\ \\ x = -1[/tex]
Learn more about algebraic equation here
https://brainly.com/question/953809
#SPJ3
Malik had 54 yards rushing. James had -12 yards rushing. How many more yards
does Malik have than James?
A Confession to my Friends
(HardCoreGamer808, ItsKennadi)
U guys are the best. Love u.
Stay Strong
Aww, that's sweet, but why don't you just text them?
I need help! Please
Answer:
The two trangle's relation by S.AS
Step-by-step explanation:
Idono thes ansar gdau gdddhd hjkdbss hhfc
What inequality is shown in the graph below?
Answer:
1/2
Step-by-step explanation:
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How many pounds of nickel have to be used to create alloy that contains 4.9lb of zinc
Step-by-step explanation:
please mark me as the brainliest answer and please follow me
Answer:
the first one is wrong.
Step-by-step explanation:
When air is pumped into an automobile
tire, the pressure is inversely proportional to
the volume. If the pressure is 35 pounds
when the volume is 120 cubic inches, what
is the pressure when the volume is 140
cubic inches?
Answer:
The pressure P₂ = 30 pounds when volume is 140 cubic inches
Step-by-step explanation:
We are given
Pressure P₁ = 35 pounds
Volume V₁ = 120 cubic inches
Volume V₂ = 140 cubic inches
We need to find Pressure P₂
The formula used will be: [tex]V_1P_1=V_2P_2[/tex]
Putting values and finding P₂
[tex]V_1P_1=V_2P_2\\120\times 35=140\times P_2\\4200=140\times P_2\\P_2=\frac{4200}{140} \\P_2=30 \ pounds[/tex]
So, the pressure P₂ = 30 pounds when volume is 140 cubic inches
The probability that a new fridge has a fault is 0.015
What is the probability that a new fridge does not have a fault?
Answer:
I will assume you mean 0.015 out of 1.
It is 0.985
Step-by-step explanation:
Answer:
0.985
Step-by-step explanation:
The probability that a new fridge does not have a fault = 1 - 0.015
= 0.985
12. In New Mexico, the state sales tax rate is 5.125%. If the price of a digital
camera sold in New Mexico is $294.35 including sales tax, what was the list price
of the digital camera? *
Help me lol I don’t wanna fail .
Answer:
15.08 if u round but it's really 15.079
what the slope of (19,-12) (5, 16)
Answer:
The slope is -28/14
Please help
Side -side -angles
Angles-side-angels
Angle -angle -side
Angle-angle-angel
Side-angel-side
Side-side-side
Hypotenuse-leg
Congruent or not ?
Answer:
it's congruent
side-side -side
Answer:
not congruent because all the sides a different .
A model with 1 shaded part and 3 unshaded parts.
Write the unit fraction depicted in the model as a percent.
One-fourth =
%
Answer:
he is wrong it is 25 %
Step-by-step explanation:
I just did it
3pq-6hk,-3pq+14kh
Find the sum
Answer:
ANSWER
3pq−6hk+(−3qp+14kh)
⇒(3pq−3pq)+(14kh−6kh)[∴pq=qp]and
⇒0+8kh[kh=hk]
∴8khAns