Answer:
step 1. h(t) = -16t^2 + 48t + 288. Set this equal to 320.
step 2. -16t^2 +48t + 288 = 320
step 3. -16t^2 + 48t - 32 = 0
step 4. -16(t^2 - 3t + 2)
step 5. -16(t - 2)(t - 1)
step 6. The ball reaches 320 feet "both!!!" at t = 1, 2 seconds once going up and once coming down.
15 + w = 3w - 11
Solve for W
Answer:
w=13
Step-by-step explanation:
15+w=3w-11
+11 +11
26+w=3w
-w -w
26=2w
26/2=2w/2
13=w
Answer:
w =13
Step-by-step explanation:
15+w=3w−11
Collect like terms
15+11=3w−w
Simplify
26=2w
Divide both sides of the equationy 2
26/2=2w/2
Simplify
13=w
switch sides
w=13
Samples of laboratory glass are in small, light packaging or heavy, large packaging. Suppose that 2% and 1% of the sample shipped in small and large packages, respectively, break during transit. If 58% of the samples are shipped in large packages and 42% are shipped in small packages, what proportion of samples break during shipment
Answer:
Total proportion of samples that break during shipment [tex]1.42[/tex] %
Step-by-step explanation:
Let the total number of glasses shipped is equal to [tex]100[/tex]
[tex]58[/tex] % of the glasses are shipped in large packets [tex]\frac{58}{100}*100 = 58[/tex]
[tex]42[/tex] % of the glasses are shipped in small packets [tex]\frac{42}{100}*100 = 42[/tex]
Number of broken glasses in small package [tex]= \frac{2}{100} * 42 = 0.84[/tex]
Number of broken glasses in large package [tex]= \frac{1}{100} * 58 = 0.58[/tex]
Total proportion of samples that break during shipment
[tex]\frac{0.84 + 0.58}{100} *100 = 1.42[/tex] %
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is miles per hour, with a standard deviation of miles per hour. Estimate the percent of vehicles whose speeds are between miles per hour and miles per hour. (Assume the data set has a bell-shaped distribution.)
About 68%
Given : The mean speed of a sample of vehicles along a stretch of highway is 66 miles per hour, with a standard deviation of 4 miles per hour.
i.e.
We assume the data set has a bell-shaped distribution (i.e. Normal distribution).
To find : The percent of vehicles whose speeds are between 62 miles per hour and 70 miles per hour.
i.e . The percent of vehicles whose speeds are between miles per hour and miles per hour.
i.e . The percent of vehicles whose speeds are between miles per hour and miles per hour.
i.e. i.e . The percent of vehicles whose speeds are within one standard deviation from the mean.
According to the Empirical rule , about 68% of the population lies within one standard deviation of the mean.
It means , about 68% of vehicles lies within one standard deviation of the mean.
i.e . About 68% of vehicles whose speeds are between miles per hour and miles per hour.
i.e . About 68% of vehicles whose speeds are between miles per hour and miles per hour.
⇒ About 68% of vehicles whose speeds are between 62 miles per hour and 70 miles per hour.
13. Ram obtains 40% of the marks in a paper of 200 marks. Shyam is ahead of Ram by 25% of Ram^ prime s marks, while Bhuvan is ahead of Shyam by one month of his own marks. How many marks does Bhuvan get?
112.5
115
120
125.25
Answer:
I think the correct answer is 112.5
Step-by-step explanation:
Please help me it’s urgent thank you !!:)9
Answer:
y = -3
Step-by-step explanation:
Parallel to the x axis means that it is a horizontal line
Horizontal lines are in the form
y =
We know the y coordinate of the point is -3
y = -3
Please help, I will give brainliest, I am struggling badly.
Answer:
(8, -1)
Step-by-step explanation:
the solution is where they intersect. (x, y) and x is 8 while y is -1
Which situation can be modeled with an exponential function?
A computer downloads 100 kilobytes of data per minute.
A tree grows 8 inches per year.
The number of visits to a website doubles every 24 hours.
The population of bacteria grows by 50 bacteria.
Answer: the answer is c
Step-by-step explanation:
Answer:
c (The number of visits to a website doubles every 24 hours.)
Step-by-step explanation:
HELP PLEASE WILL GIVE BRAINLIST
Andrea is planning on building a shed. The blueprints show a shed that is 7 inches wide and 3 inches tall. The blueprints use a scale in which 34 inch represents 3 feet.
How wide and tall will the actual shed be?
Drag and drop the height and width of the actual shed into the boxes.
Shed Height Shed Width
6.75ft 15.75 12ft 28ft
♡ The Question ♡
Andrea is planning on building a shed. The blueprints show a shed that is 7 inches wide and 3 inches tall. The blueprints use a scale in which 34 inch represents 3 feet.
How wide and tall will the actual shed be?
Drag and drop the height and width of the actual shed into the boxes.
* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
Shed Height --> 12 ft!
Shed Width --> 28 ft!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
No Explanation/Step-By-Step provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No tips provided!
The dimension of the actual shed.
Length = 0.26 feet
Wide = 0.62 feet
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
1 minute = 60 seconds
1 hour = 60 minutes
1 km = 1000 m
1 m = 100 cm
We have,
Shed dimensions in the blueprint:
Wide = 7 inches
Length = 3 inches
The scale factor:
34 inch = 3 feet
This means,
Multiply 7/34 on both sides of (1).
7/34 x 34 inch = 7/34 x 3 feet
7 inch = 21/34 feet
7 inch = 0.62 feet _____(A)
Multiply 3/34 on both sides of (1).
3/34 x 34 inches = 3/34 x 3 feet
3 inches = 0.26 feet ______(B)
From (A) and (B) we get,
Wide = 0.62 feet
Length = 0.26 feet
The actual dimension of the shed.
Length = 0.26 feet
Wide = 0.62 feet
Thus,
The dimension of the actual shed.
Length = 0.26 feet
Wide = 0.62 feet
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Ralph Chase plans to sell a piece of property for $150000. He wants the money to be paid off in two ways minus−a short-term note at 12% interest and a long-term note at 9% interest. Find the amount of each note if the total annual interest paid is $15900.
The amount of the 12% note is $___. and the amount of the 9% note is $___
Answer:
The amount of 12% note is $90,000
The amount of 9% note is $80,000
Step-by-step explanation:
Missing word "The amount of the 12% note is $ and the amount of the 9% note is $"
Selling price = $170,000
Let x be the amount of money paid short term, therefore the amount of money paid long term is (170000 - x)
Given total annual interest = $18,000
Total annual interest = Interest due to short term (x) + interest due to long term (170000 - x)
18,000 = 0.12x + 0.09*(170000 - x)
18,000 = 0.12x + 15,300 - 0.09x
18,000 = 0.03x + 15,300
0.03x = 18,000 - 15,300
0.03x = 2,700
x = 2,700/0.03
x = 90,000
So, the amount of 12% note is $90,000
So long term paid money = $170,000 - $90,000 = $80,000
So, the amount of 9% note is $80,000
plz mark me as barinly
Step-by-step explanation:
2. Charlie has a collection of marbles in three sizes, small, medium, and large. He has four times as
many small marbles as medium marbles. The number of large marbles is three more than five times
the number of medium marbles.
a. Write algebraic expressions to represent the number of small marbles, medium marbles, and
large marbles Charlie has. Write algebrauc expressions to represebt the number of small marbles, medium marbles, and large marbles charlie has.
Answer:
Step-by-step explanation:
The required expression represents the number of the small marbles, medium marbles, and large marbles are m = 4s and l = 3 + 5m.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the number of small marbles be s, medium marbles are m and large marble is l.
According to the question,
He has four times as many small marbles as medium marbles. The number of large marbles is three more than five times the number of medium marbles.
m = 4s
and
l = 3 + 5m
Thus, the required expression represents the number of the small marbles, medium marbles, and large marbles are m = 4s and l = 3 + 5m.
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Select the correct answer
A
B
C
D
Answer:
B. y = x + 6
Step-by-step explanation:
Graph.
Answer:
b is the correct answer
What is greater 27% or 0.48
Well since 27% in decimal form is .27, that mean .48 is greater.
27% < 0.48
find the lengths of the lettered angles and sides. No approximation for square root is allowed
Answer:
x = 30°, y = 45°w = 14√2, v = 7√2Step-by-step explanation:
ΔABC
BC/AB = sin x12/24 = sin x1/2 = sin xx = 30°ΔDBC
DC = BC - given∠C = 90° - given ΔDBC is isosceles right triangle∠BDC ≅ ∠DBC ⇒ y = 45°
-------------------------------------------
ΔMPN is right isosceles triangle ⇒ MN = PN√2 = 14√2
w = 14√2ΔMKP is right isosceles triangle ⇒ MK = KP
v = 1/2MN = 1/2(14√2) = 7√2Katie wants to know how much she needs to deposit into a two year CD account in order to earn $100 in simple interest. The account currently has a 1.5% interest rate. Round to the nearest cent . SHOW ALL WORK FOR ANY CREDIT!!
Answer:
To obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.
Step-by-step explanation:
Given that Katie wants to know how much she needs to deposit into a two year CD account in order to earn $ 100 in simple interest, knowing that the account currently has a 1.5% interest rate, the following calculation must be performed:
X x 0.015 = 100
X = 100 / 0.015
X = 6,666.66
6,666.66 x 1.015 = 6,766.66
Thus, to obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.
Answers Appreciated! Thanks if you help!
Answer:6.28
Step-by-step explanation:
C=pi*diameter
C=3.14*2
C=6.28
ASAP NEED TO KNOW IF IM CORRECT 5/6 x 575=2,875/6
Answer:
Yes, that is correct.
The answer 149.166666667 or 479 1/6
The exact answer is 149.166666667
In fraction form the answer is 2,875/6
Answer:
Yes you are indeed correct [tex](\frac{5}{6} )(575) = \frac{2875}{6}[/tex]
Step-by-step explanation:
[tex](\frac{5}{6} )(575) = \frac{2875}{6}[/tex]
If the length of the shorter arc AB is 22 cm and C is the centre of the circle then the circumference of the circle is :
Answer:
The circumference of the circle is 176cm
Step-by-step explanation:
Step 1.
Figure out how many of those segments would fit in a whole circle
360/45=8
Step 2.
We know that the length of AB is 22cm so we multiply that by the number of segments in a whole circle
22×8=176
What would a box of 5 pounds of chicken cost per ounce? (Unit Rates)
you just have to multiply the coast of the chicken with the number of chicken you want.
so, $4.99 × 5 = $24.95
Therefor, the answer is $24.95.
Answer:
25
Step-by-step explanation:
If x= 3 and y = 4, then xy -2x=?
Step-by-step explanation:
Given
x = 3 , y = 4
xy - 2x= 3 * 4 - 2 * 3
= 12 - 6
= 6
Hope it will help :)
Step-by-step explanation:
Here's the answer. Hope it will help you
please help fast thanks
Answer:
3/4 5/7 5/4
32/33 20/21 27/13
1/2 16/25 9/14
16/49 3/2 13/15
should be the answers
Step-by-step explanation:
my step son had the following equation on a test and no one can figure it out. a^^^ b^{b-1} =
Answer:
Step-by-step explanation:
This equation is incomplete and looks ill formed.
PLEASE HELP MEHHHHHHHH
Answer:
Diameter.
Step-by-step explanation:
Radius is a line going from the middle of the circle to the edge of the circle. Diameter is the line going from one edge of a circle, through the middle, and all the way to the directly opposite side than the beginning of the line.
Yellowstone National Park is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 12 vans and 6 buses with 306 students. High School B rented and filled 12 vans and 9 buses with 369 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
Answer:
Your answer is.....
A bus carries 20 students
Van = 15.5 or 16
Mark it as brainlist answer . follow me for more answer.
Step-by-step explanation:
Select the correct expressions and value.
Identify the expressions and the value that are equivalent to 6 times 5 squared.
22c + 33d?
Chose three answers
Answer:
55cd
Step-by-step explanation:
If 60% of the students in the classroom have a pet at home. If 15 students have a pet, what is the total number of students in the classroom?
how can I do this, can you explain me
Answer:
Step-by-step explanation:
Start with h(t) = -16t^2 + initial height, which here is h(t) = -16t^2 + 1296. Set this = to zero, which corresponds to the object hitting the ground (h = 0):
0 = -16t^2 + 1296. Dividing all terms by -16, we get t^2 = 81, whose positive square root is 9. It takes 9 seconds for the object to hit the ground.
noah raised $54 to support the animal shelter, which is 60% of his fundraising goal.
Tina invests $3,700 into an account with a 4.4% interest that is compounded quarterly. How much money will she have in
this account if she keeps it for 8 years?
Round your answer to the nearest cent.
DO NOT round until you have calculated the final answer.
Answer:
5250.96
Step-by-step explanation:
The 4.4% interest rate compounded quarterly means that you get 4.4%/4 four times a year. Over 8 years, that is 32 times. Since we use decimals, not percentages, we get
[tex]3700(1+0.044/4)^(4*8)=5250.96[/tex]
factorise 2tv+t-10v-5
and make the k the subject
Answer:
(2v + 1)(t - 5)
Step-by-step explanation:
The first two terms of 2tv+t-10v-5 factor into t(2v + 1); the last two terms factor into -5(2v + 1). Thus, (2v + 1) is a factor of 2tv+t-10v-5:
2tv+t-10v-5 = (2v + 1)(t - 5)
The required factors of 2tv+t-10v-5 to make k are (2v + 1) and (t -5).
Given that,
To factorize 2tv+t-10v-5 and make the k the subject.
Factors can be defined by splitting the value into multipliable values.
What is simplification?The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here, according to the question to make k we have to factorize the 2tv+t-10v-5. So,
k = 2tv + t - 10v - 5
k = t( 2v + 1 ) - 5( 2v + 1 )
k = ( 2v + 1 ) ( t - 5 )
Thus, the required factors of 2tv+t-10v-5 to make k are (2v + 1) and (t -5).
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