Step-by-step explanation:
Identity the variable:
Initial Velocity is 35.
Initial Height is 204
Final Height is 0.
What looking for the time.
So we have
[tex]0 = - 16 {t}^{2} + (35)t + 204[/tex]
Use Quadratic Formula,
[tex] - b± \frac{ \sqrt{b {}^{2} - 4ac} }{2a} [/tex]
A is -16, B is 35 , C is 204.
So we have
[tex] - 35± \frac{ \sqrt{ {35}^{2} - 4( - 16)(204) } }{ - 32} [/tex]
[tex] - 35± \frac{ \sqrt{1225 + 2240} }{ - 32} [/tex]
[tex] - 35± \frac{ \sqrt{3465} }{ - 32} [/tex]
[tex]{35} ± \frac{ \sqrt{3465} }{ - 32} [/tex]
The positve solution is
[tex]4.83[/tex]
So the answer is 4.83 seconds
area of the base= 75square inches and heigh = 15 inches
75 ÷ 15 = 5
the width is 5 inches
A box has length 3 ft, width 5 ft, and height 2 ft.
What is the volume?
cu ft
Answer:
30 ft.³
Step-by-step explanation:
3ft. × 5ft. × 2ft. = 30 ft.³
Please rate!! I hope this helps!!
The demand equation for a manufacturer's product is:
p = 50 x [tex](151 - q)^{0.02\sqrt{q+19} }[/tex]
(a) Find the value of dp/dq when 150 units are demanded.
(b) Using the result in part (a), determine the point elasticity of demand when 150 units are demanded. At this level, is demand elastic, inlastic, or of unit elasticity?
(c) Use the result in part (b) to approximate the price per unit it demand decreases from 150 to 140 units.
(d) If the current demand is 150 units, should the manufacturer increase or decrease price in order to increase revenue?
From the given price function, we have;
(a) [tex] \frac{dp}{dq} = - 13[/tex]
(b) The point elasticity of demand is 0.0256; inelastic demand
(c) $46.6
(d) Increase
How can the elasticity of demand be found?a. The given function is presented as follows;
[tex]p = 50 \times (151 - q) ^{0.02 \times \sqrt{q + 19} } [/tex]
Differentiating the above function with a graphing calculator and setting q = 150 gives;
[tex] \frac{dp}{dq} = - 13[/tex]
b. The point elasticity of demand is given by the formula;
[tex] e \: = \frac{dq}{dp} \times \frac{p}{q} [/tex]
When q = 150, we have;
P = 50
Which gives;
[tex]e \: = \frac{1}{13} \times \frac{50}{150} = 0.0256[/tex]
The point elasticity of demand, E = 0.0256
The demand is inelastic (less than 1) when the quantity demanded is 150 unitsc. If the quantity demanded decreases from 150 to 140 units, we have;
[tex]0.0256 \: = \frac{1}{13} \times \frac{p}{140} = [/tex]
Which gives;
p = 46.6
The price when the quantity demanded decreases to 140 is $46.6d. Given that increase in price, from 46.6 to 50, increases the quantity demanded from 140 to 150, therefore;
The manufacturer should increase the price, p to increase the revenue, R.R = p × q
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Cody wanted to give each of his forty-five friends an equal amount of candy. At the store he bought six hundred eighty pieces total to give to them. How many more pieces should he have bought so he didn't have any extra pieces?
Divide total bought by number of people first:
680 / 45 = 15.111
round up to 16. Multiply 16 by 45:
45 x 16 = 720
He should have bought 720 pieces. Now by Tracy to find how many more pieces:
720 - 680 = 40
He should have bought 40 more pieces.
John's employer increased his annual salary of $55,000 by $5,700. What percent was his raise, rounded to the nearest tenths place?
Answer:
3.64% (when rounded to the nearest hundredth)
Step-by-step explanation:
I'm assuming by 5700 you actually mean 57,000.
Calculate the percent change:
(57,000-55,000)/55,000 *100
(2000/55000)x100
0.036363x100
3.6363 rounded to the nearest hundredth is 3.64
6) Over the course of 17 weeks Tiffany collected 18 pounds of cans to recycle and Tom
collected 8 times as much as Tiffany. Tom then put his collection into 6 bags to take to
the recycling center. How many pounds of cans did Tom put into each bag?
Answer:
24 per bag
Step-by-step explanation:
18x8=144 then divide by 6= 144÷6=24
Graham carves a block of wood shaped like a cube with a square pyramid on top. How much paint will Graham need to paint the toy? Enter your answer in the box.
Divide the box into two parts for easy way answer
For cube:-
Side=a=12cmTSA
6a²6(12)²6(144)864cm^2Cancel one side area
TSA=864-144=720cm^2For triangular pyramid:-
Area of one base
0.5(Base)(Height)0.5(12)(15)6(15)90cm^2Area of four sides=90(4)=360cm^2
Total surface area:-720+3601080cm^2Answer:
1080 cm^2
Step-by-step explanation:
∴ Given:
Graham carves a block of wood shaped like a cube with a square pyramid on top.
∴To Find:
How much paint will Graham need to paint the toy?
∴Solve:
Base on the given:
[tex]S=5a^2+4ah\cdot\frac{1}{2}[/tex]
= [tex]5\cdot12^2+4\cdot12\cdot15\cdot\frac{1}{2}[/tex]
[tex]=1080cm^2[/tex]
Hence [tex]1080cm^2[/tex] of paint is needed.
~lenvy~
How many times does 8 go into the 7 1/2
Answer:
0.9375
Step-by-step explanation:
1/2=0.5
7.5÷8
=0.9375
barely even once
What is the exact value of tan(67.5°)?
StartRoot 3 EndRoot
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
StartStartRoot StartFraction 2 minus StartRoot 2 EndRoot Over 2 + StartRoot 2 EndRoot EndFraction EndEndRoot
StartStartRoot StartFraction 2 + StartRoot 2 EndRoot Over 2 minus StartRoot 2 EndRoot EndFraction EndEndRoot
Answer:
the answer is shown below
I truly hope this helps you -TJ
Step-by-step explanation:
here you go
Answer:
D
Step-by-step explanation:
Edge
If the difference of 3 / 4 and 1 / 6 of a number is 7, find the number and also verify your answer.
The computation of the equation illustrates that the number will be 46.4.
How to solve the equation?Let the number be represented as x.
Therefore, the the difference of 3 / 4 and 1 / 6 of a number is 7 will be computed as follows:
(1/6 × x) - 3/4 = 7
0.167x = 7 + 3/4
0.167x = 7.75
x = 7.75/0.167
x = 46.4
Therefore, the number is 46.4.
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which statement is true regarding the graphed functions?
f(0) = 2 and g(-2) = 0
f(0) = 4 and g(-2) = 4
f(2) = 0 and g(-2) = 0
f(-2) = 0 and g(-2) = 0
point (2 ; 0) on Cf so f(2) = 0
point (0 ; 4) on Cf so f(0) = 4
point (-2 ; 0) on Cg so g(-2) = 0
In a small private school, 16 students are randomly selected from eighteen available students. What is the probability that they are the four youngest students?
Answer:
1/72
Step-by-step explanation:
16 * 18 = 288
4/288 = 1/72
Find the volume of the cylinder
Volume:-
πr^2hπ(16)^2(17.5)π(256)(17.5)4480πmm^2Diego rides his bicycle at a constant rate of 0.3 kilometers per minute. Which graph best represents y, the total number of kilometers Diego rides his bicycle in x minutes?
y(x)=0.3x
since he travels 0.3 kilometers for each minute (x)
then y as a function of x is 0.3×the number of minutes(x)
Which number is a common multiple of 2 and 3?
A) 8
B) 16
C) 28
D) 36
Answer:
D
Step-by-step explanation:
36 can be divided by both 2 & 3
Answer:
The answer is D.
Step-by-step explanation:
2x18=36
3x12=36
Evaluate the expression 21 ÷ 3 + 8 − 4. 19 17 15 11
Answer:
Your answer is D, 11
Step-by-step explanation:
PEMDAS, first you divide, 21/3 is 7
7+8 is 15
15 - 4 is 11
Hope this helps! :)
Answer:
[tex]\boxed{\sf{11}}[/tex]
Step-by-step explanation:
Solving this problem requires an order of operations.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract21÷3+8-4First, divide.
[tex]\sf{21\div3+8-4}[/tex]
[tex]\sf{21\div3=7}[/tex]
Then rewrite the problem.
[tex]\sf{7+8-4}[/tex]
Add.
[tex]\sf{7+8=15}[/tex]
Subtract.
[tex]\sf{15-4=\boxed{\sf{11}}[/tex]
11
Therefore, the correct answer is 11.
I hope this helps you! Let me know if my answer is wrong or not.
GEOMETRY Find the diameter d of the circle in the figure at the right. Round to the nearest tenth if necessary.
18 ft
d ft
22 ft
12.6 ft
O 160 ft
O 4'ft
28,4 ft
Answer:
d = 12.6 ft
Step-by-step explanation:
From inspection of the given diagram, the diameter of the circle is equal to the shortest leg of the right triangle.
Pythagoras Theorem explains the relationship between the three sides of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle.
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.Therefore, use Pythagoras Theorem to find the measure of d.
Given values:
a = db = 18 ftc = 22 ftSubstitute the given values into the formula and solve for d:
[tex]\implies d^2+18^2=22^2[/tex]
[tex]\implies d^2+324=484[/tex]
[tex]\implies d^2=484-324[/tex]
[tex]\implies d^2=160[/tex]
[tex]\implies d=\sqrt{160}[/tex]
[tex]\implies d=12.6491106...[/tex]
Therefore, d = 12.6 ft (nearest tenth).
Learn more about Pythagoras Theorem here:
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Is the data Jamaya collected a random sample if the population is books from her entire household? Why or why not? *Remember that Jamaya picked 15 books from her book shelf in her bedroom.
Using sampling concepts, it is found that it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which has to involve all groups in the population.
In this problem, a random sample should involve the books of all people in the household, not only Jamaya's. Hence, it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.
More can be learned about sampling concepts at https://brainly.com/question/25122507
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Express the following phrase as a unit rate:
135 miles on 9 gallons of gas
Answer: 15 miles per gallon
Step-by-step explanation:
135 divided by 9
15 miles per gallon
rate:
[tex]\sf \dfrac{distance}{amount \ of \ oil}[/tex]
[tex]\rightarrow \dfrac{135}{9}[/tex]
[tex]\sf \rightarrow15 \ miles \ per \ gallon[/tex]
Graph y = 0.5|x|
The graph of the function f(x) = 0.5|x| is than its parent graph, f(x) = |x|.
The Domain and Range?
Thanks!
Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer. ( Please Do Not Use Someone Else's Answer That's On Brainly Or Any Other Websites Please If So You'll Be Reported). Very Important.
Answer:
The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.
Step-by-step explanation:
The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.
Given :
Joshua has a ladder that is 12 ft long.
He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground.
For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°.
Check the angle that the ladder makes with the ground:
The ladder is safe when the angle the ladder makes with the ground to be no greater than 75° but is so, the ladder won't be safe.
To make the ladder safe, the height should not be 11.8ft.
The height from ground to top of the ladder is < 11.6 ft for safety reasons.
How do you know that the Pythagorean Theorem is true?
The fact that the angles in a triangle add up to 180 indicates that it is actually a square). There are also four right triangles, each with a base and a height. The Pythagorean Theorem is reached when a2 + b2 = c2.
Answer is 345 make an equation from 100, 10, 3, 4, 5, 2, 1
Answer: 10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345
Answer: the largest angle has a measure of _____ degrees.
Answer:
the largest Angle has a measure of 360 degrees
Need help with his geometry question. Find the value of x
Answer:
Step-by-step explanation:
PLEASE help me. Please, I beg you.
How does the Vietnam War influence policies and decisions made in the United States today? Justify your response.
This is the war between the communist governmrnt of Vietnam North and the South Vietnam. The United States of America were the main ally of the Vietnam south during the war.
The communist Vietnam North later united with the south with a common name Socialist Reepublic of Vietnam, After a fierce onslaught that took the life of about 58000 americans and over 2 million Vietnamese.
The influence of the Vietnam war in United States today
1. End of the drafts
The drafts is the method of conscription to the military that requires vitually every male between the age of 18 - 25 in United States to register with the selective service. since the end of the Vietnam war in 1975 the draft stopped hence no penalty for not registering to the draft.
2. Granting 18 years old the right to vote
26th Amendment of the United States Constitution gave right to vote to the 18 years old citizens. Today 18 tear old American has right to vote. This was evolvement of the war and still holds till date.
3. It is easier getting into a war than getting out of a war
Americans was pulling out of the Vietnam war when they suffered the huge massacre. This lesson was helpful for president George H W Bush during the 1991 Persian Gulf War were he systematically exited after liberating Kuwait
Read more on Vietnam war here: https://brainly.com/question/24845081
Solve: |x-2|=3
Can someone explain how to do this please!!!
Step-by-step explanation:
after x^2-4x-5 do sum and product
what is the area of the parallelogram?
The area of a parallelogram is the product of:
--> length of the base and the height
length: 7ftheight: 5ftThus the area = 7 * 5 = 35 square feet
Hope that helps!
Rewrite the fraction in the sentence below as a percentage. At a certain wedding, 1/10 of the guests were over 60 years old.
Answer:
10%
Step-by-step explanation:
1/10 = 10%
Help please!!! I don't understand
[tex]\left|x-\dfrac 12\right| = 3\dfrac 23\\\\\\\implies \left|x- \dfrac 12 \right| = \dfrac{11}3\\\\\\\implies x-\dfrac 12 = \dfrac{11}3 ~~~~~~~~~ \text{or}~~~~~~~ x - \dfrac 12 = - \dfrac {11}3\\\\\\\implies 2x -1 = \dfrac{22}3 ~~~~~~~~ \text{or}~~~~~~~~2x-1 =-\dfrac{22}3\\[/tex]
[tex]\implies x =\dfrac 12\left(\dfrac{22}3 +1 \right) ~~ \text{or}~~~~~~~~ x = \dfrac 12 \left(1-\dfrac{22}3\right)}\\\\\\\implies x = \dfrac{25}6~~~~~~~~~~~~~~~ \text{or}~~~~~~~~ x=-\dfrac{19}6\\\\\\\implies x = 4\dfrac 16 ~~~~~~~~~~~~~~~ \text{or}~~~~~~~~x = -3\dfrac16[/tex]