Answer:
t=1.283 seconds and
0.779 seconds
Step by step Explanation:
Given: h=18 ft
The given equation is h=2+33t-16t²
Then if we substitute the value of given h, h=18 ft into the given equation we have,
18=2+33t-16t²
Then if we re- arrange we have
16t²−33t+16=0
We can see that the above quadratic equation is in standard form, with a=16, b=33 and c=16 then we can use quadratic formula in solving it which is
t= −(−33±√[(−33) ²−4×16×16)]/(2×16)
= [33±√[1089−1024]/(32)
= [33±√[65]/(32)
=1.283 or 0.779 seconds
the two real roots , of the quadratic are:
1.283 and
0.779 seconds
t= 1.283 or 0.779 seconds
Hence, the ball is at 18 feet with height 0.779seconds after it has been thrown up and,
and is at 21 feet with height 1.283 seconds after after thrown down
Chuck has 6$ and he spends 1/5 of his money on candy
Answer:
He spends $1.20 Which means he has $4.80 remaining.
Step-by-step explanation:
1/5 of 6 is 6/1 multiplied by 1/5 and that is 6/5 or 1 1/5
1/5 of a dollar is 20 cents. he has $1.20
6-1.20=4.80.
Answer:
[tex]4.80 => Answer[/tex]
Step-by-step explanation:
Use the information given.
1/5 of 6 is equal to 6/5
6/5 = 1.2
Now subtract.
[tex]6-1.2= 4.8[/tex]
So the answer is 4.80 or 4.8
Hope this helps! :)
By: ❤️BrainlyMagic❤️
Brainliest would be appreciated!
The lowest temperature ever
recorded on earth was -89°C
in Antarctica. The average
temperature on Mars is about
-55°C. Which is warmer?
Write an inequality to support
your answer
Answer:
Mars
Step-by-step explanation:
America
Find the sum: 15+20+25+30+35+...+875+880+885
Answer:
the actual answer is 78750
Step-by-step explanation:
summation of 2-176 in the equation 5n+5
Plz help this is an evil question
Answer:
18.9 units of fencing
Step-by-step explanation:
First find the perimeter
P = 2(l+w)
P = 2( 2.5+1.28)
P = 2( 3.78)
P =7.56m
We need 2.5 units of fencing for each meter
Multiply by 2.5
7.56*2.5
18.9 units of fencing
Answer:
Julio needs to purchase 18.9 units of fencing.
Step-by-step explanation:
I meter of the perimeter accounts for 2.5 units of fencing. Respectively 2 meters account for 2 times as much, and 3 meters account for 3 times as much of 2.5 units. Therefore, if we determine the perimeter of this rectangular garden, then we can determine the units of fencing by multiplying by 2.5.
As you can see this is a 2.5 by 1.28 garden. The perimeter would be two times the supposed length, added to two times the width.
2.5 x 2 + 1.28 x 2 = 5 + 2.56 = 7.56 - this is the perimeter. The units of fencing should thus be 7.56 x 2.5 = 18.9 units, or option d.
On moving day, Guyton needs to rent a truck. The length of the cargo space is , and the height is less than the width. The brochure indicates that the truck can hold . What are the dimensions of the cargo space
On moving day, Guyton needs to rent a truck. The length of the cargo space is 10 ft , and the height is 1 ft less than the width. The brochure indicates that the truck can hold 420 ft3 . What are the dimensions of the cargo space? Assume that the cargo space is rectangular shape.
Answer:
The dimensions; width w is 7 ft and height is 6 ft
Step-by-step explanation:
L = 10 ft the length of the cargo space
w = the width of the cargo space
h = the height of the cargo space the height is 1 ft less than the width
h = w - 1
The truck can hold 420 ft^3 - this means the volume of the space V = 420 ft^3
But V = L*w*h
Substitute h = w - 1 into the Volume equation
Therefore,
10*w*(w - 1) = 420
10w^2 - 10w - 420 = 0
By Using quadratic equation formula to solve and considering positive answer,
w = {-b +- √(b^2 - 4ac)}/2a
Where;
a = 10, b = -10 and c = -420
w = {-(-10) +- √(-10^2 - 4(10)(-420)}/2(10)
w = {-(-10) +- 130}/20
w = (10 + 130)/20 = 140/20 = 7
Or
w = (10 -130)/20 = -120/20 = -6
Here,
I take positive answers and the width is 7 ft
Also, from h = w - 1
height = 7 - 1 = 6 ft
As per the question on a moving day, the Guyton is renting a truck and the length of his cargo the height of which is less than the width. The brochure indicates the trick that he can hold.
How much width and height does Guyton need in cargo space?The dimension of the cargo will be based on the amount of capacity of the cargo and the amount of cargo that needs to be moved. On the day of the move, he rent a truck. The L of all cargo space is given as 10 feet, and that of height is 1 foot which is less than the width. This brochure tells us that the truck can hold 420 feet.
Find out more information about the length of the cargo space.
brainly.com/question/1170096.
CORRECT ANSWER WILL GET BRAINLIEST EO
Use the graph of f(x) to find the indicated function values.
ty
8
If x = 0, then f(0) =
4
If f(x) = 0, then x =
A
-3
-2
2
Done
Intro
Answer:
Step-by-step explanation:
if x=0 then f(x)=2 (0,2)
if f(x)=0 then x=-1 (-1,0)
If x = 0, then f(0) =
✔ 2.25
.
If f(x) = 0, then x =
✔ –1
.
Find the linear correlation coefficient using only the four points in the lower left corner (for women). Will the four points in the upper right corner (for men) have the same linear correlation coefficient? The correlation coefficient for the points in the lower left corner is requals nothing.
Answer:
Yes, because the four points in the upper right corner from the same pattern as the four points in the lower left corner.
Step-by-step explanation:
The correlation coefficient for the points in the lower left corner equals zero.
The four points in the upper right corner have the same correlation coefficient because the four points in the upper right corner from the same pattern as the four points in the lower left corner.
PLEASE HELP
A: 3.72
B: 15.75
C: 10.6
Answer:
3.716 m²
Step-by-step explanation:
10⁻² = 0.01, so 9.29 x 0.01 = 0.0929
multiple 0.0929 by 40 to get 3.716 m²
What is the sum of a 54-term arithmetic sequence where the first term is 6 and the last term is 377? (1 point) 10,341 10,388 10,759 11,130
Answer:
10,341
Step-by-step explanation:
[tex]S_{n}=\frac{n}{2} (a_1}+a_{n})\\S_{54}=\frac{54}{2} (6+377)=27 \times 383=10,341[/tex]
Find the missing side of a triangle when one side is 3.16 and the other is 3
Answer:
0.992774 ≅ .993
Step-by-step explanation:
a²+b²=c²
a=x
b=3
c=3.16
x²+3²=3.16²
x²+9=9.9856
x²=.9856
x=0.992774
x≅0.993
What the answer fast
Answer:
HI = 13
Step-by-step explanation:
The triangle that is shown is a 45-45-90 triangle, so we know that GH = GJ = 9 and IJ = 13, we are able to solve for HI.
Technically, IJ = HI, since both triangles are congruent. Both IJ and HI will be 13.
check whether -2 and 2 are zeroes of the polynomial x+2
Answer:
-2 is a zero of the polynomial. 2 is not a zero of the polynomial.
Step-by-step explanation:
A value of x is a zero of a polynomial if when it is substituted for x in the polynomial, it makes the polynomial evaluate to zero.
The polynomial is x + 2
Let x = -2:
x + 2 = -2 + 2 = 0
-2 is a zero of the polynomial.
Let x = 2:
x + 2 = 2 + 2 = 4
2 is not a zero of the polynomial.
Which system of equations represents the matrix shown below?
Answer:
c
Step-by-step explanation:
im not too sure
One angle of a right triangle measures 31° what is the measure of the other angle
Answer:
59°
Step-by-step explanation:
A triangle adds up to 180°. A right triangle has a 90° angle.
1. Set up the equation
90 + 31 + x = 180
2. Simplify
121 + x = 180
3. Solve for x by subtracting 121 from both sides
x = 59
which equation can be used to solve for x in the following diagram? x° and (6x - 15)°
Answer:
= A
explanation :
the angle are right angle triangle which means it is always 90°
The radius of a conical tent is 5.6 m and the slant height is 12 m. Then the length of canvas required
to make the tent, if the width of canvas is 4 m.
a) 106.6 m
b) 100 m
c) 52.8 m
d) 105.6m
who will answer it first I mark them as the brainlist
Answer:
c) 52.8 m
Step-by-step explanation:
The radius of a conical tent, r = 5.6 m
The slant height = 12 m.
The area of the canvas required to make the tent is equal to the lateral area of the cone.
[tex]\text{Lateral Area of a Cone}= \pi r l\\=\pi \times 5.6 \times 12\\=67.2\pi$ m^2[/tex]
Since the width of the canvas = 4 m
Let the length = l
Area of the canvas = 4l
[tex]4l=67.2\pi$ m^2\\l=67.2\pi \div 4\\l=52.8 m$ (correct to 1 decimal place)[/tex]
The length of the canvas required to make the tent is 52.8m.
A theater is presenting a program on drinking and driving for students and their parents or other responsible adults. The proceeds will be donated to a local alcohol information center. Admission is $6.00 for adults and $3.00 for students. However, this situation has two constraints: The theater can hold no more than 240 people and for every two adults, there must be at least one student. How many adults and students should attend to raise the maximum amount of money?
Answer:
160 adults and 80 students
Step-by-step explanation:
With the information from the exercise we have the following system of equations:
Let x = number of students; y = number of adults
I want to maximize the following:
z = 3 * x + 6 * y
But with the following constraints
x + y = 240
y / 2 <= x
As the value is higher for adults, it is best to sell as much as possible for adults.
So let's solve the system of equations like this:
y / 2 + y = 240
3/2 * y = 240
y = 240 * 2/3
y = 160
Which means that the maximum profit is obtained when there are 160 adults and 80 students, so it is true that added to 240 and or every two adults, there must be at least one student.
A painter takes hours to paint a wall. How many hours will the painter take to paint 8 walls if she works at the same rate?
Answer:
20.8 hours
Step-by-step explanation:
2 3/5 = 2.6.The painter will take (2.6 × 8) = 20.8 hours to paint a wall.
Hope this helps and pls mark as brianliest :)
Answer:
20.8, 20 4/5, and 104/5
Helppppppp ASAP pleaseee
Answer:
True
Step-by-step explanation:
Inverse variation on a graph is depicted by the movement of the graph diagram (line) in a downward motion
Answer:true
Step-by-step explanation:
Suppose we have 3 cards identical in form except that both sides of the first card are colored red, both sides of the second card are colored black, and one side of the third card is colored red and the other side is colored black. The 3 cards are mixed up in a hat, and 1 card is randomly selected and put down on the ground. If the upper side of the chosen card is colored red, what is the probability that the other side is colored black
Answer:
probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3
Step-by-step explanation:
First of all;
Let B1 be the event that the card with two red sides is selected
Let B2 be the event that the
card with two black sides is selected
Let B3 be the event that the card with one red side and one black side is
selected
Let A be the event that the upper side of the selected card (when put down on the ground)
is red.
Now, from the question;
P(B3) = ⅓
P(A|B3) = ½
P(B1) = ⅓
P(A|B1) = 1
P(B2) = ⅓
P(A|B2)) = 0
(P(B3) = ⅓
P(A|B3) = ½
Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;
P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]
Thus;
P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]
P(B3|A) = (1/6)/(⅓ + 0 + 1/6)
P(B3|A) = (1/6)/(1/2)
P(B3|A) = 1/3
Which is the solution to this question 4X equals 32
Answer:
8
Step-by-step explanation:
you would just divide 32 by 4
4x = 32
x = 32/4
x=8
Answer:
[tex]\large\boxed{\sf \ \ \ x=8 \ \ \ }[/tex]
Step-by-step explanation:
Hello
4x=32 we can divide both parts by 4 so
[tex]\dfrac{4x}{4}=\dfrac{32}{4}\\\\<=> x = 8[/tex]
Hope this helps
The chart below lists the original and sale prices of items at a clothing store.
Clothing Prices
Original price Sale price
$7.99
$5.59
$10.99
$7.69
$12.99
$9.09
$15.99
$11.19
$24.99
$17.49
$29.99
$20.99
Which statement best describes why the sale price is a function of the original price?
As the original price increases, the sale price also increases.
The sale price is always less than the original price.
For every original price, there is exactly one sale price.
The sales price is never less than zero.
Answer: C) For every original price, there is exactly one sale price.
For any function, we always have any input go to exactly one output. The original price is the input while the output is the sale price. If we had an original price of say $100, and two sale prices of $90 and $80, then the question would be "which is the true sale price?" and it would be ambiguous. This is one example of how useful it is to have one output for any input. The input in question must be in the domain.
As the table shows, we do not have any repeated original prices leading to different sale prices.
Answer:
C STAY SAFE!!!
Step-by-step explanation:
Ok we know this cant be A the reason is It says tha the original price is increasing so thats FALSE... its trying to trick you so no
The second choice says The sale price is always less than the original price. well take a look at the sale prices are they? Obiously not so False
Ok the third option For every original price, there is exactly one sale price. well this is true ask yourself each it helps.
Last option The sales price is never less than zero. erm FALSE OBIOUSLY THIS IS TRUE JUST NOT TRUE ITS WRONG
THE ANSER IS C
I don’t know this one
Answer:
[tex]\sqrt{x-4} +5[/tex]
Step-by-step explanation:
the conjugate of [tex]\sqrt{x-4} -5[/tex] is the term that completes a²-b² when multiplied by each other
a = [tex]\sqrt{x-4}[/tex] b = 5a²-b² = (a+b)(a-b)
(a-b)(a+b) =([tex]\sqrt{x-4}[/tex] -5)([tex]\sqrt{x-4}[/tex] +5)The value of y varies inversely as the square of x, and y = 9, when x = 4.
Find the value of x when y = 1. Do not include "=" in your answer.
Answer:
The answer is
12Step-by-step explanation:
The above variation is written as
[tex]y = \frac{k}{ {x}^{2} } [/tex]
where k is the constant of variation
when y = 9
x = 4
We have
k = yx²
k = 9(4)²
k = 9 × 16
k = 144
So the formula for the variation is
[tex]y = \frac{144}{ {x}^{2} } [/tex]
when y = 1
[tex]1 = \frac{144}{ {x}^{2} } [/tex]
Cross multiply
x² = 144
Find the square root of both sides
x = √144
x = 12
Hope this helps you.
±2
Step-by-step explanation:
Which graph represents exponential decay? On a coordinate plane, a straight line has a negative slope. On a coordinate plane, a graph starts at (negative 2, 0) and curves up and to the right into quadrant 1. On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2. On a coordinate plane, a graph approaches y = 0 in quadrant 2 and curves up into quadrant 1.
Answer:
The correct option is (C).
Step-by-step explanation:
The exponential function representing decay is as follows:
[tex]y=y_{0}\cdot e^{kt};\ k<0[/tex]
Here,
y = final value
y₀ = initial value
k = growth rate
t = time passed
The graph represents exponential decay is:
"On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2."
Thus, the correct option is (C).
Answer:
The answer is C
Step-by-step explanation:
I just took the test on edge
Simplify negative 2 and 1 over 6 – negative 7 and 1 over 3. negative 5 and 1 over 6 negative 9 and 3 over 6 9 and 3 over 6 5 and 1 over 6 Question 12(Multiple Choice Worth 5 points)
Answer:
5 and 1 over 6
Step-by-step explanation:
Simplifying the given:
Negative 2 and 1 over 6 – negative 7 and 1 over 3 ⇒ translated as:- 2 1/6 - (-7 1/3) = ⇒ cancelling negatives and changing mixed fractions to improper fractions- 13/6 + 22/3 = ⇒ bringing to same denominator- 13/6 + 44/6 = ⇒ calculating the numerator31/6 = ⇒ making mixed fraction5 1/6 ⇒ answerCorrect choice is the last one: 5 and 1 over 6
5 and 1 over 6 .......................................
11. A certain brand of margarine was analyzed to determine the level of polyunsaturated fatty acid (in percent). A sample of 6 packages had an average of 16.98 and sample standard deviation of 0.31. Assuming normality, a 99% confidence interval for the true mean of fatty acid level is:
Answer: (16.47, 17.49)
Step-by-step explanation:
Formula for confidence interval for the true mean if population stanmdard deviation is unknown:
[tex]\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}[/tex]
, where [tex]\overline{x}[/tex] = sample mean
n= sample size
s= sample standard deviation
[tex]t_{\alpha/2}[/tex] = Two tailed critical value.
We assume that the level of polyunsaturated fatty acid is normally distributed.
Given,
n= 6
degree of freedom = n-1 =5
[tex]\overline{x}[/tex] = 16.98
s= 0.31
significance level[tex](\alpha)[/tex] =1-0.99=0.01
Two tailed t- value for degree of freedom of 5 and significance level of 0.01 = [tex]t_{\alpha/2}=4.0317[/tex] [by student's t-table]
Now , the 99% confidence interval for the true mean of fatty acid level is:
[tex]16.98\pm 4.0317(\dfrac{0.31}{\sqrt{6}})\\\\=16.98\pm 4.0317(0.126557)\\\\=16.98\pm 0.51024\\\\=(16.98-0.51023,\ 16.98+0.51023)\\\\=(16.46977,\ 17.49023)\approx (16.47,\ 17.49)[/tex]
Hence, a 99% confidence interval for the true mean of fatty acid level is: (16.47, 17.49)
TWhich equation has the same solution as this equation. X^2 - 8x + 12 = 0
x² - 8x + 12 = 0
First of all we need to find the roots
Δ = b² - 4.a.c
Δ = (-8)² - 4 . 1 . 12
Δ = 64 - 4. 1 . 12
Δ = 16
Has 2 real roots
x = (-b +- √Δ)/2a
x' = (--8 + √16)/2.1
x'' = (--8 - √16)/2.1
x' = 12 / 2
x'' = 4 / 2
x' = 6
x'' = 2
So our equation can be solved with x = 6 and x = 2, therefore we can create two other equations with the same roots
x - 6 = 0
and
x - 2 = 0
Answer:
(x – 4)2 = 4
Step-by-step explanation:
Solve polynomials 7/5 + 3/4 × 2 / 5-3 / 2
Answer:
Step-by-step explanation:
7/5 + 3/4 x 2/5 - 3/2
7/5 + 3/10 - 3/2
17/10 - 3/2
1/5
Step-by-step explanation:
Here, the given polynomial are,
=7/5+3/4×2/5-3/2
multiplying 3/4 and 2/5
= 7/5+6/20-3/2
taking LCM and adding them.
=(7×4+6×1-3×10)/20
by simplifying it we get, the answer is 1/5.
Hope it helps..
please help me, i will give you brainliest
Answer:
Refeect circle A over the the y line = x
Step-by-step explanation: