Step-by-step explanation:
4.5 s, 324 ft
Explanation:
The object is projected upward with an initial velocity of
v_0 = 144 ft/sv
0
=144ft/s
The equation that describes its height at time t is
s(t) = -16t^2 + 144 ts(t)=−16t
2
+144t (1)
where t, the time, is measured in seconds.
In order to find the time it takes for the object to reach the maximum height, we must find an expression for its velocity at time t, which can be found by calculating the derivative of the position, s(t):
v(t) = s'(t) = -32t +144v(t)=s
′
(t)=−32t+144 (2)
At the maximum heigth, the vertical velocity is zero:
v(t) = 0
Substituting into the equation above, we find the corresponding time at which the object reaches the maximum height:
\begin{gathered}0=-32t+144\\t=\frac{144}{32}=4.5 s\end{gathered}
0=−32t+144
t=
32
144
=4.5s
And by substituting this value into eq.(1), we also find the maximum height:
s(t) = -16(4.5)^2+144(4.5)=324 fts(t)=−16(4.5)
2
+144(4.5)=324ft
used this way i even don't know sorry:))We want to find the zeros of this polynomial:
p(x) = (x+2) (2x^2 + 3x-9)
Answer:
x = - 2, x = - 3, x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
to find the zeros equate p(x) to zero , then
(x + 2)(2x² + 3x - 9) = 0 ← factor the quadratic
(x + 2)(x + 3)(2x - 3) = 0
equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 3 = 0 ⇒ x = - 3
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
Dion is performing a hypothesis test in which the population mean is 92 and the standard deviation is 2. His sample size is 7 with a mean of 93. 5. Which of the following correctly depicts the z-statistic for this data? 0. 28 0. 36 1. 98 2. 63.
The value of the z statistic for the considered data is given by: Option C: 1.98 approximately.
How to find the z score (z statistic) for the sample mean?If we're given that:
Sample mean = [tex]\overline{x}[/tex] Sample size = n Population mean = [tex]\mu[/tex] Sample standard deviation = sThen, we get:
[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]
If the sample standard deviation is not given, then we can estimate (in some cases) it by:
[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]
where [tex]\sigma[/tex] = population standard deviation
For this case, we're specified that:
Sample mean = [tex]\overline{x}[/tex] = 93.5Sample size = n = 7Population mean = [tex]\mu[/tex] = 92Population standard deviation = [tex]\sigma[/tex] = 2Thus, the value of the z-statistic is evaluated as:
[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{93.5 - 92}{2/\sqrt{7}} \approx 1.98[/tex]
Thus, the value of the z statistic for the considered data is given by: Option C: 1.98 approximately.
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Write x=2 in Slope intercept form
Answer:
y= 2/1 + 0
Step-by-step explanation:
If there's not a y-int. it'll be 0.
Solve the following equation for x to find the total number of people who downloaded songs from a music site for a certain month:
x = 0.6x + 384
How many people downloaded songs from the site that month?
Answer:
960 people.
Step-by-step explanation:
x = 0.6x + 384
x - 0.6x = 384
0.4x = 384
x = 384 / 0.4 = 960.
THIS IS MY LAST QUESTION PLEASE HELP ME
Zion Sun Chairs manufactures 3,575 beach chairs each month. Determine the minimum sales price
Zion Sun Chairs must sell each chair for to break even if the total annual fixed costs are $17,363.50
and the variable cost per chair is $52.17.
O $57.03
O $64.50
O $81.25
O $79.65
Answer:
81.25
Step-by-step explanation:
the temperature is currently 0°C and
has been falling at a constant rate of 3°C per hour.
If it continues fall at this rate, what will the temperature be:
• in 2 hours?
Answer:-6°
Step-by-step explanation:
-3° the first hour -6° the next
What is the constant term in the expression 8xy + 9x2 y − 5x − 2?
−5
−2
8
9
Answer:
-2
Step-by-step explanation:
In the expression [tex]8xy + 9x^2y -5x -2[/tex]
[tex]x[/tex] and [tex]y[/tex] are the variablesThe numbers directly before the variables are the coefficientsThe number that it not attached to a variable is the constant termTherefore, the constant term is -2
Answer: -2 is the constant term in the expression 8xy + 9x2 y − 5x − 2
Step-by-step explanation:
A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
the expression 8xy + 9x2 y − 5x − 2
now, we know that,
constant is the number with no variable attached to it.
-2 is the constant term in the expression 8xy + 9x2 y − 5x − 2.
I need help on this question
Answer:
ans: 4/729
Step-by-step explanation:
here,
-2 ^2 = 4
and
(3^3)^2 = 3^6 = 729
= 4/729
an architect is designibg a tapered office tower where rge ground floor us the largwst amd the floor space is reduced by 6.3% permifloor if the ground gloor has an arra pf 11,400,0ft2 ehat is tje area of the floor to the nearest tenth of a ft2?
The area of the ground floor after it has been reduced to the nearest tenth is 10,681,800 square foot.
What is the area of the ground floor?In order to determine the area of the ground floor after it has been reduced, the area of the floor has to reduced by 6.3%.
Area that was reduced = 6.3% x 11,400,000 = 718,200
New area = 11,400,000 - 718,200 = 10,681,800 square foot
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Answer quick and show work!
Aj and his two friends went out to dinner and the meal's total was $100. They decided to give the server a 20% tip. How much money will the total bill be?
Answer:
$120
Step-by-step explanation:
please help
what is the equation for the following graph
A=1
Answer:
[tex]f(x)=\sqrt{x+5}-3[/tex]
Step-by-step explanation:
Given function for graph: [tex]f(x)=\sqrt{x-h}+k[/tex]
Therefore, the parent function is [tex]f(x)=\sqrt{x}[/tex]
[tex]f(x)=\sqrt{x-h}+k[/tex] can be obtained by translating [tex]f(x)=\sqrt{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up
The x and y intercept of [tex]f(x)=\sqrt{x}[/tex] is the origin
Therefore, this graph has been translated 5 units to the left and 3 units down.
Therefore, [tex]h=-5[/tex] and [tex]k=-3[/tex]
Substituting these values into the given function:
[tex]\implies f(x)=\sqrt{x-(-5)}+(-3)[/tex]
[tex]\implies f(x)=\sqrt{x+5}-3[/tex]
separate into real and imaginary parts and find the multiplicative inverse of √2+i/√2-i (only 2 is in the √
The multiplicative inverse for √2-i = 1/(√2+1) and The multiplicative inverse is √2+1 = 1/(√2-1)
Real and Imaginary Numbers/Complex NumbersGiven Data
First expression = √2+iSecond expression = √2-iFor√2+i
the real part is is √2 and the imaginary part is i
The multiplicative inverse is √2+1 = 1/(√2-1)
rationalising the denominator we have
= 1/√2-1 * √2-1/√2-1
= √2-1/(√2-1)*(√2-1)
= √2-1/(2-√2-√2+1)
= √2-1/(-2√2+3)
For√2-i
the real part is is √2 and the imaginary part is -i
The multiplicative inverse is √2-1 = 1/(√2+1)
Rationalising the denominator we have
= 1/√2+1 * √2+1/√2+1
= √2+1/(√2+1)*(√2+1)
= √2+1/(2+√2+√2+1)
= √2+1/(2√2+3)
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Please help me, I have no Idea how to solve this.
Answer:
19 ducks are NOT WINNERS
There is a 76% CHANCE that you will not choose a winning duck, so it is VERY LIKELY that you will choose a duck that is not a winner.
Step-by-step explanation:
Answer: 1.) 19 rubber ducks are not winners
2.) There is a 76% chance of not choosing a winning duck
1.) Step-by-step explanation: 25 times 0.24 equals 6, 25-6=19
2.) 0.24 is equal to 24% and 100-24= 76 so 76% chance of not choosing a rubber duck
The sales tax in your state is 5%. If a car cost 16,700 what is the total cost, including tax.
Answer:
17,535 dollars
Step-by-step explanation:
5% of 16,700 is 835, so add the two together and you get your answer.
A store is open for business while it is being renovated. The noise from the renovation is increasingly driving
away customers. The daily revenue, r (d), the store has made d days since renovation began is modeled by the
function r (d) = 10,000 (0. 939)d. What is the factor of decay in this function?
A
1. 9539
B
10,000
с
0. 0461
D
0. 9539
The factor of decay in the function that represents the daily revenue of the store is 0.939.
What is the factor that represents decay?
The factor that represents decay is the factor that reduces the growth rate of revenue for this store. In the given function, the factor that represents decay would have a value that is less than one.
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Which statement is true about the transformation?
It is isometric because not all side lengths and angle measures remained the same.
It is isometric because all side lengths and angle measures remained the same.
It is not isometric because not all side lengths and angle measures remained the same.
It is not isometric because all side lengths and angle measures remained the same.
Answer:
B. It is isometric because all side lengths and angle measures remained the same
Step-by-step explanation:
Answer:
B) It is isometric because all side lengths and angle measures remained the same.
Step-by-step explanation:
Got it right on edge <3
6.005= as what percent
Answer:
[tex]\displaystyle 600\frac{1}{2}\%[/tex]
Explanation:
Just move the decimal mark twise to the right and you will arrive at your result.
I am joyous to assist you at any time.
Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that most swap meet vendors will not accept credit cards and that she will not have any money until her next payday, Susan decides to take out a $200 cash advance on her credit card at an interest rate of 32%. If Susan had no previous balance on her credit card, and she manages to pay off the balance within 1 month, how much will she have to pay in interest? a. $5. 33 b. $32. 00 c. $173. 33 d. $205. 33 Please select the best answer from the choices provided. A B C D.
The amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we're given that:
Amonut Susan took out = $200Interest rate = 32% annually (interest rates are usually expressed in annual (yearly) terms).Amount paid off within 1 monthThe interest was 32% annually, so in monthly terms, it would be 32/12 = 2.667% approx. (as there are 12 months in each year)
Since the balance was paid within one month, the interest would be simply 1 time calculated on the main balance.
Thus, we get:
Interest amount ≈ 2.667% of $200 = [tex]\dfrac{200}{100} \times 2.667 = 5.334 \approx 5.33 \: \rm (in \: dollars)[/tex]
Thus, the amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.
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Adjacent --------------------- Vertical
DBC and ABC
ABC and DBE
CBD and EBA
EBA and ABC
put them where they're supposed to go
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Adjacent Angles are the angles that shares a common arm, where as the vertical angles are the ones that are exact opposite to each other.
Now, since we know the concept, let's dig in ~
DBC and ABC - Adjacent ABC and DBE - Vertical CBD and EBA - VerticalEBA and ABC - AdjacentUse the law of sines to find the value of y. round to the nearest tenth. law of sines: startfraction sine (uppercase a) over a endfraction = startfraction sine (uppercase b) over b endfraction = startfraction sine (uppercase c) over c endfraction 1.4 units 1.6 units 2.5 units 2.6 units
Using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units
What is law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b} = \dfrac{\sin\angle C}{c}[/tex]
Remember that we took
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
For this case, the missing image is attached below.
Applying the sine law, as we have:
The side opposite to angle Y is XZ of length y units,The side opposite to the angle Z is XY of length 2 units,The side opposite to the angle X is YZThe first two angles Y and Z are enough. (we use angle Z as the length of the side opposite to Z is known).
Using sine law, we get:
[tex]\dfrac{\sin(m\angle Y)}{y} = \dfrac{\sin(m\angle Z)}{2}\\\\y = \dfrac{\sin(75^\circ) \times 2}{\sin(50^\circ)} \approx 2.522 \approx 2.5 \: \rm units[/tex]
Thus, using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units
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Cover the entire area except for today's date and year April, 1st, Monday
Answer:
It's friday for me so here u go
Step-by-step explanation:
Find f(2) if f(x)=2x+1
[tex]f(x) =2 x+1 \\\\ \text{If x = 2,}\\\\f(2) = 2(2) +1 = 4+1 = 5[/tex]
Answer:
5
Step-by-step explanation:
plug 2 in for x
f(2) = 2(2) + 1
f(2) = 5 [Asnwer]
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
You have a coupon for 35% off any purchase over $15 at a pizza shop. If your order totals $18, how
much do you have to pay?
Answer:
11.7
Step-by-step explanation:
I think that is right because you have to - 35%
which experssion is equivalent to 5(4x+3)-2x
Answer:
18x + 15
Step-by-step explanation:
First, deal with the first part of the question:
5(4x+3)
We multiply the outside of the brackets with the inside. So, we do
5 x 4x = 20x
and 5 x 3 = 15
then put them together:
20x+15
Now, the second part:
- 2x
We cannot simplify this further so we put the two parts together:
20x + 15 - 2x
Collect like terms (20x - 2x) =
18x + 15
I hope this helped. If you have any further questions, do ask.
- profparis
Scientists developed a maze for rats that has 555 compartments, and each compartment had a different food. In each trial, scientists would record which compartment the rat went to first. They were curious if the rats favored some compartments more than others. Here are the results from 1000 trials.
The expected count that can be deduced from the arrivals to the second compartment will be 200.
How to calculate the expected count?It should be noted that in order to perform a goodness of fit test, the expected number of rats that are in each compartment will be gotten.
Therefore, the expected number of rats that will be in the second compartment will be:
= 1/5 × 1000
= 200
In conclusion, the correct option is 200.
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Help me pls
-3^3(-8n^3-3n^2)
Mrs. Barnett has 5 cups of sugar. A batch of cookies uses 1/3 cup of sugar.
How many batches of cookies can she make?
Answer:
15 batches of cookies
Step-by-step explanation:
We need to find out how many third cups do into 5 cups. We can do this by 5 ÷ 1/3
When dividing fractions, use KFC:
Keep the first fraction the sameFlip the second fractionChange the sign from ÷ to ×Therefore, 5 ÷ 1/3 = 5 × 3/1 which is 15 batches of cookies
Hope this helps!
express 59/2^4×5^4 in decimal form.
answer asap. Ill mark brainliest
Answer:
~Male Y/n here~ I think this would be your question in decimal form,
2304.6875
(Hope this helps!)
A.
when are non-forfeiture provisions used?
when the insured names a beneficiary
b. when the insured stops making premium payments on a cash value policy
c. when the insured converts a term policy
d. when the insured dies and there is a settlement
Answer: should be B
Step-by-step explanation:
please just answer don’t explain
Answer:
13 C 14 D 15 A 16 B
Step-by-step explanation:
Sorry thats all i know hope you found this helpful